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["For Entry Level BMX Race Bikes, Is there a Relationship between Price and Weight of Bike?"]
[]
[]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y"]
["2015 SE Ripper",22.4,299]
["2014 Redline MX",21,462]
["2015 SE PK Ripper Elite",21,549]
["2015 Grenade Launch Pro X",26,180]
["2015 SE PK Ripper Elite XL",21.1,549]
["2015 Grenade M1",26,240]
["2015 Framed Team",26.4,180]
["2014 Redline MX",21,431]
["2014 Framed Team",25.2,360]
["2014 Grenade MX",26,230]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]

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["For Entry Level BMX Race Bikes, Is there a Relationship between Price and Weight of Bike?"]
[]
[]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y"]
["2015 SE Ripper",22.4,299]
["2014 Redline MX",21,462]
["2015 SE PK Ripper Elite",21,549]
["2015 Grenade Launch Pro X",26,180]
["2015 SE PK Ripper Elite XL",21.1,549]
["2015 Grenade M1",26,240]
["2015 Framed Team",26.4,180]
["2014 Redline MX",21,431]
["2014 Framed Team",25.2,360]
["2014 Grenade MX",26,230]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]

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["Team","Season","BattingAvg x","RunsScored y","AtBats x","Hits","Homeruns y","Walks x","Strikeouts y","StolenBases","OBP y","SLG","OPS",null,{"$f":"\"Is there a relationship between \"&C1&\" and \"&D1&\"?\"","v":"Is there a relationship between BattingAvg x and RunsScored y?"},{"$f":"\"Is there a relationship between \"&E1&\" and \"&G1&\"?\"","v":"Is there a relationship between AtBats x and Homeruns y?"},{"$f":"\"Is there a relationship between \"&H1&\" and \"&I1&\"?\"","v":"Is there a relationship between Walks x and Strikeouts y?"},{"$f":"\"Is there a relationship between \"&C1&\" and \"&K1&\"?\"","v":"Is there a relationship between BattingAvg x and OBP y?"},null,null,null,null,null,null,"Example 5:","Relationship Between Temperature and Energy Expense, relationship looks nonlinear: as x increases, y decreases for a while and then increases"]
["ARI",2011,0.25,731,5421,1357,172,531,1249,133,0.32200000000000001,0.41299999999999998,0.73599999999999999]
["ATL",2011,0.24299999999999999,641,5528,1345,173,504,1260,77,0.308,0.38700000000000001,0.69499999999999995]
["BAL",2011,0.25700000000000001,708,5585,1434,191,452,1120,81,0.316,0.41299999999999998,0.72899999999999998,null,null,null,null,null,null,null,null,null,null,null,"Sample Point","x","y"]
["BOS",2011,0.28000000000000003,875,5710,1600,203,578,1108,102,0.34899999999999998,0.46100000000000002,0.81]
["CHC",2011,0.25600000000000001,654,5549,1423,148,425,1202,69,0.314,0.40100000000000002,0.71499999999999997,null,null,null,null,null,null,null,null,null,null,null,"Date","Temperature X","Energy Expense Y"]
["CHW",2011,0.252,654,5502,1387,154,475,989,81,0.31900000000000001,0.38800000000000001,0.70599999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-01-12",46,236]
["CIN",2011,0.25600000000000001,735,5612,1438,183,535,1250,97,0.32600000000000001,0.40799999999999997,0.73399999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-01-13",52,304]
["CLE",2011,0.25,704,5509,1380,154,494,1269,89,0.317,0.39600000000000002,0.71399999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-01-14",55,163.5]
["COL",2011,0.25800000000000001,735,5544,1429,163,555,1201,118,0.32900000000000001,0.41,0.73899999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-01-15",46,214]
["DET",2011,0.27700000000000002,787,5563,1540,169,521,1143,49,0.34,0.434,0.77300000000000002,null,null,null,null,null,null,null,null,null,null,null,"2015-01-16",47,210]
["FLA",2011,0.247,625,5508,1358,149,542,1244,95,0.318,0.38800000000000001,0.70599999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-01-17",50,508]
["HOU",2011,0.25800000000000001,615,5598,1442,95,401,1164,118,0.311,0.374,0.68400000000000005,null,null,null,null,null,null,null,null,null,null,null,"2015-01-18",36,294.55]
["KCR",2011,0.27500000000000002,730,5672,1560,129,442,1006,153,0.32900000000000001,0.41499999999999998,0.74399999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-01-19",47,250]
["LAA",2011,0.253,667,5513,1394,155,442,1086,135,0.313,0.40200000000000002,0.71399999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-01-20",40,371.95]
["LAD",2011,0.25700000000000001,644,5436,1395,117,498,1087,126,0.32200000000000001,0.375,0.69699999999999995,null,null,null,null,null,null,null,null,null,null,null,"2015-01-21",46,478]
["MIL",2011,0.26100000000000001,721,5447,1422,185,481,1083,94,0.32500000000000001,0.42499999999999999,0.75,null,null,null,null,null,null,null,null,null,null,null,"2015-01-22",55,258]
["MIN",2011,0.247,619,5487,1357,103,440,1048,92,0.30599999999999999,0.36,0.66600000000000004,null,null,null,null,null,null,null,null,null,null,null,"2015-01-23",40,559]
["NYM",2011,0.26400000000000001,718,5600,1477,108,571,1085,130,0.33500000000000002,0.39100000000000001,0.72499999999999998,null,"Slope",{"$f":"SLOPE(D2:D91,C2:C91)","v":5521.5811442184413},null,{"$f":"P19/1000","v":5.521581144218441}," /1000 to get slope for every .001",null,null,null,null,null,"2015-01-24",53,536]
["NYY",2011,0.26300000000000001,867,5518,1452,222,627,1138,147,0.34300000000000003,0.44400000000000001,0.78800000000000003,null,"Y-Intercept",{"$f":"INTERCEPT(D2:D91,C2:C91)","v":-708.49399407844146},null,null,null,null,null,null,null,null,"2015-01-25",44,576]
["OAK",2011,0.24399999999999999,645,5452,1330,114,509,1094,117,0.311,0.36899999999999999,0.68,null,null,null,null,null,null,null,null,null,null,null,"2015-01-26",48,446]
["PHI",2011,0.253,713,5579,1409,153,539,1024,96,0.32300000000000001,0.39500000000000002,0.71699999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-01-27",46,300]
["PIT",2011,0.24399999999999999,610,5421,1325,107,489,1308,108,0.309,0.36799999999999999,0.67600000000000005,null,"x",0.23100000000000001,null,null,null,null,null,null,null,null,"2015-01-28",56,250.5]
["SDP",2011,0.23699999999999999,593,5417,1284,91,501,1320,170,0.30499999999999999,0.34899999999999998,0.65300000000000002,null,"Predicted",{"$f":"$P$19*P23+$P$20","v":566.99125023601857},null,null,null,null,null,null,null,null,"2015-01-29",36,412.79999999999995]
["SEA",2011,0.23300000000000001,556,5421,1263,109,435,1280,125,0.29199999999999998,0.34799999999999998,0.64,null,"x",0.23200000000000001,null,null,null,null,null,null,null,null,"2015-01-30",38,511.7]
["SFG",2011,0.24199999999999999,570,5486,1327,121,448,1122,85,0.30299999999999999,0.36799999999999999,0.67100000000000004,null,"Predicted",{"$f":"$P$19*P25+$P$20","v":572.51283138023689},null,null,null,null,null,null,null,null,"2015-01-31",37,311.75]
["STL",2011,0.27300000000000002,762,5532,1513,162,542,978,57,0.34100000000000003,0.42499999999999999,0.76600000000000001,null,"Diff",{"$f":"P26-P24","v":5.5215811442183167},null,null,null,null,null,null,null,null,"2015-02-01",44,478]
["TBR",2011,0.24399999999999999,707,5436,1324,172,571,1193,155,0.32200000000000001,0.40200000000000002,0.72399999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-02-02",30,282.5]
["TEX",2011,0.28299999999999997,855,5659,1599,210,475,930,143,0.34,0.46,0.8,null,null,null,null,null,null,null,null,null,null,null,"2015-02-03",48,476]
["TOR",2011,0.249,743,5559,1384,186,525,1184,131,0.317,0.41299999999999998,0.73,null,null,null,null,null,null,null,null,null,null,null,"2015-02-04",37,565.44999999999993]
["WSN",2011,0.24199999999999999,624,5441,1319,154,470,1323,106,0.309,0.38300000000000001,0.69099999999999995,null,null,null,null,null,null,null,null,null,null,null,"2015-02-05",43,567.6]
["ARI",2010,0.25,713,5473,1366,180,589,1529,86,0.32500000000000001,0.41599999999999998,0.74,null,null,null,null,null,null,null,null,null,null,null,"2015-02-06",39,634.25]
["ATL",2010,0.25800000000000001,738,5463,1411,139,634,1140,63,0.33900000000000002,0.40100000000000002,0.74,null,null,null,null,null,null,null,null,null,null,null,"2015-02-07",34,266.59999999999997]
["BAL",2010,0.25900000000000001,613,5554,1440,133,424,1056,76,0.316,0.38600000000000001,0.70199999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-02-08",33,345]
["BOS",2010,0.26800000000000002,818,5646,1511,211,587,1140,68,0.33900000000000002,0.45100000000000001,0.79,null,null,null,null,null,null,null,null,null,null,null,"2015-02-09",38,393.45]
["CHC",2010,0.25700000000000001,685,5512,1414,149,479,1236,55,0.32,0.40100000000000002,0.72099999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-02-10",38,567.6]
["CHW",2010,0.26800000000000002,752,5484,1467,177,467,922,160,0.33200000000000002,0.42,0.752,null,null,null,null,null,null,null,null,null,null,null,"2015-02-11",37,266.59999999999997]
["CIN",2010,0.27200000000000002,790,5579,1515,188,522,1218,93,0.33800000000000002,0.436,0.77400000000000002,null,null,null,null,null,null,null,null,null,null,null,"2015-02-12",35,503.09999999999997]
["CLE",2010,0.248,646,5487,1362,128,545,1184,91,0.32200000000000001,0.378,0.7,null,null,null,null,null,null,null,null,null,null,null,"2015-02-13",53,242]
["COL",2010,0.26300000000000001,770,5530,1452,173,585,1274,99,0.33600000000000002,0.42499999999999999,0.76,null,null,null,null,null,null,null,null,null,null,null,"2015-02-14",55,216]
["DET",2010,0.26800000000000002,751,5643,1515,152,546,1147,69,0.33500000000000002,0.41499999999999998,0.75,null,null,null,null,null,null,null,null,null,null,null,"2015-02-15",58,354]
["FLA",2010,0.254,719,5531,1403,152,514,1375,92,0.32100000000000001,0.40300000000000002,0.72399999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-02-16",41,432.15]
["HOU",2010,0.247,611,5452,1348,108,415,1025,100,0.30299999999999999,0.36199999999999999,0.66500000000000004,null,null,null,null,null,null,null,null,null,null,null,"2015-02-17",43,406.34999999999997]
["KCR",2010,0.27400000000000002,676,5604,1534,121,471,905,115,0.33100000000000002,0.39900000000000002,0.73,null,null,null,null,null,null,null,null,null,null,null,"2015-02-18",43,627.79999999999995]
["LAA",2010,0.248,681,5488,1363,155,466,1070,104,0.311,0.39,0.70199999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-02-19",32,705]
["LAD",2010,0.252,667,5426,1368,120,533,1184,92,0.32200000000000001,0.379,0.7,null,null,null,null,null,null,null,null,null,null,null,"2015-02-20",53,534]
["MIL",2010,0.26200000000000001,750,5606,1471,182,546,1216,81,0.33500000000000002,0.42399999999999999,0.75900000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-02-21",54,282]
["MIN",2010,0.27300000000000002,781,5568,1521,142,559,967,68,0.34100000000000003,0.42199999999999999,0.76200000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-02-22",56,435]
["NYM",2010,0.249,656,5465,1361,128,502,1095,130,0.314,0.38300000000000001,0.69699999999999995,null,null,null,null,null,null,null,null,null,null,null,"2015-02-23",52,380]
["NYY",2010,0.26700000000000002,859,5567,1485,201,662,1136,103,0.35,0.436,0.78600000000000003,null,null,null,null,null,null,null,null,null,null,null,"2015-02-24",57,372]
["OAK",2010,0.25600000000000001,663,5448,1396,109,527,1061,156,0.32400000000000001,0.378,0.70199999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-02-25",51,240]
["PHI",2010,0.26,772,5581,1451,166,560,1064,108,0.33200000000000002,0.41299999999999998,0.745,null,null,null,null,null,null,null,null,null,null,null,"2015-02-26",40,346.15]
["PIT",2010,0.24199999999999999,587,5386,1303,126,463,1207,87,0.30399999999999999,0.373,0.67800000000000005,null,null,null,null,null,null,null,null,null,null,null,"2015-02-27",32,577.5]
["SDP",2010,0.246,665,5434,1338,132,538,1183,124,0.317,0.371,0.68899999999999995,null,null,null,null,null,null,null,null,null,null,null,"2015-02-28",34,406.34999999999997]
["SEA",2010,0.23599999999999999,513,5409,1274,101,459,1184,142,0.29799999999999999,0.33900000000000002,0.63700000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-03-01",37,468.7]
["SFG",2010,0.25700000000000001,697,5488,1411,162,487,1099,55,0.32100000000000001,0.40799999999999997,0.72899999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-03-02",39,483.75]
["STL",2010,0.26300000000000001,736,5542,1456,150,541,1027,79,0.33200000000000002,0.40200000000000002,0.73299999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-03-03",22,462.5]
["TBR",2010,0.247,802,5439,1343,160,672,1292,172,0.33300000000000002,0.40300000000000002,0.73599999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-03-04",38,408.5]
["TEX",2010,0.27600000000000002,787,5635,1556,162,511,986,123,0.33800000000000002,0.41899999999999998,0.75700000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-03-05",40,311.75]
["TOR",2010,0.248,755,5495,1364,257,471,1164,58,0.312,0.45400000000000001,0.76600000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-03-06",51,420]
["WSN",2010,0.25,655,5418,1355,149,503,1220,110,0.318,0.39,0.70799999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-03-07",32,410]
["ARI",2009,0.253,720,5565,1408,173,571,1298,102,0.32400000000000001,0.41799999999999998,0.74199999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-03-08",45,400]
["ATL",2009,0.26300000000000001,735,5539,1459,149,602,1064,58,0.33900000000000002,0.40500000000000003,0.74399999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-03-09",40,460.09999999999997]
["BAL",2009,0.26800000000000002,741,5618,1508,160,517,1013,76,0.33200000000000002,0.41499999999999998,0.747,null,null,null,null,null,null,null,null,null,null,null,"2015-03-10",52,538]
["BOS",2009,0.27,872,5543,1495,212,659,1120,126,0.35199999999999998,0.45400000000000001,0.80600000000000005,null,null,null,null,null,null,null,null,null,null,null,"2015-03-11",25,597.5]
["CHC",2009,0.255,707,5486,1398,161,592,1185,56,0.33200000000000002,0.40699999999999997,0.73799999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-03-12",42,389.15]
["CHW",2009,0.25800000000000001,724,5463,1410,184,534,1022,113,0.32900000000000001,0.41099999999999998,0.74,null,null,null,null,null,null,null,null,null,null,null,"2015-03-13",45,228]
["CIN",2009,0.247,673,5462,1349,158,531,1129,96,0.318,0.39400000000000002,0.71199999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-03-14",31,627.5]
["CLE",2009,0.26400000000000001,773,5568,1468,161,582,1211,84,0.33900000000000002,0.41699999999999998,0.75600000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-03-15",51,408]
["COL",2009,0.26100000000000001,804,5398,1408,190,660,1277,106,0.34300000000000003,0.441,0.78400000000000003,null,null,null,null,null,null,null,null,null,null,null,"2015-03-16",34,339.7]
["DET",2009,0.26,743,5540,1443,183,540,1114,72,0.33100000000000002,0.41599999999999998,0.747,null,null,null,null,null,null,null,null,null,null,null,"2015-03-17",21,527.5]
["FLA",2009,0.26800000000000002,772,5572,1493,159,568,1226,75,0.34,0.41599999999999998,0.75600000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-03-18",55,364.5]
["HOU",2009,0.26,643,5436,1415,142,448,990,113,0.31900000000000001,0.4,0.71899999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-03-19",24,695]
["KCR",2009,0.25900000000000001,686,5532,1432,144,457,1091,88,0.318,0.40500000000000003,0.72399999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-03-20",42,462.25]
["LAA",2009,0.28499999999999998,883,5622,1604,173,547,1054,148,0.35,0.441,0.79200000000000004,null,null,null,null,null,null,null,null,null,null,null,"2015-03-21",38,277.34999999999997]
["LAD",2009,0.27,780,5592,1511,145,607,1068,116,0.34599999999999997,0.41199999999999998,0.75800000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-03-22",48,334]
["MIL",2009,0.26300000000000001,785,5510,1447,182,610,1231,68,0.34100000000000003,0.42599999999999999,0.76700000000000002,null,null,null,null,null,null,null,null,null,null,null,"2015-03-23",40,445.04999999999995]
["MIN",2009,0.27400000000000002,817,5608,1539,172,585,1021,85,0.34499999999999997,0.42899999999999999,0.77400000000000002,null,null,null,null,null,null,null,null,null,null,null,"2015-03-24",45,496]
["NYM",2009,0.27,671,5453,1472,95,526,928,122,0.33500000000000002,0.39400000000000002,0.72899999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-03-25",45,514]
["NYY",2009,0.28299999999999997,915,5660,1604,244,663,1014,111,0.36199999999999999,0.47799999999999998,0.83899999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-03-26",46,350]
["OAK",2009,0.26200000000000001,759,5584,1464,135,527,1046,133,0.32800000000000001,0.39700000000000002,0.72599999999999998,null,null,null,null,null,null,null,null,null,null,null,"2015-03-27",33,697.5]
["PHI",2009,0.25800000000000001,820,5578,1439,224,589,1155,119,0.33400000000000002,0.44700000000000001,0.78100000000000003,null,null,null,null,null,null,null,null,null,null,null,"2015-03-28",37,258]
["PIT",2009,0.252,636,5417,1364,125,499,1142,90,0.318,0.38700000000000001,0.70499999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-03-29",24,257.5]
["SDP",2009,0.24199999999999999,638,5425,1315,141,586,1182,82,0.32100000000000001,0.38100000000000001,0.70099999999999996,null,null,null,null,null,null,null,null,null,null,null,"2015-03-30",36,313.89999999999998]
["SEA",2009,0.25800000000000001,640,5543,1430,160,421,1093,89,0.314,0.40200000000000002,0.71599999999999997,null,null,null,null,null,null,null,null,null,null,null,"2015-03-31",37,481.59999999999997]
["SFG",2009,0.25700000000000001,657,5493,1411,122,392,1158,78,0.309,0.38900000000000001,0.69899999999999995,null,null,null,null,null,null,null,null,null,null,null,"2015-04-01",47,594]
["STL",2009,0.26300000000000001,730,5465,1436,160,528,1041,75,0.33200000000000002,0.41499999999999998,0.747,null,null,null,null,null,null,null,null,null,null,null,"2015-04-02",64,442.5]
["TBR",2009,0.26300000000000001,803,5462,1434,199,642,1229,194,0.34300000000000003,0.439,0.78200000000000003,null,null,null,null,null,null,null,null,null,null,null,"2015-04-03",60,397.5]
["TEX",2009,0.26,784,5526,1436,224,472,1253,149,0.32,0.44500000000000001,0.76400000000000001,null,null,null,null,null,null,null,null,null,null,null,"2015-04-04",50,272]
["TOR",2009,0.26600000000000001,798,5696,1516,209,548,1028,73,0.33300000000000002,0.44,0.77300000000000002,null,null,null,null,null,null,null,null,null,null,null,"2015-04-05",62,208.5]
["WSN",2009,0.25800000000000001,710,5493,1416,156,617,1208,73,0.33700000000000002,0.40600000000000003,0.74299999999999999,null,null,null,null,null,null,null,null,null,null,null,"2015-04-06",50,200]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-07",62,301.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-08",68,187]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-09",65,150]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-10",57,445.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-11",53,498]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-12",43,599.85]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-13",39,393.45]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-14",61,196.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-15",42,457.95]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-16",42,225.75]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-17",52,598]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-18",68,268]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-19",50,468]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-20",46,236]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-21",58,415.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-22",56,418.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-23",61,279]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-24",56,195]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-25",61,325.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-26",67,283]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-27",68,281]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-28",61,313.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-29",52,466]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-04-30",63,351]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-01",80,226]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-02",75,165]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-03",51,532]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-04",44,410]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-05",79,121]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-06",61,340.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-07",49,264]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-08",80,212]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-09",47,590]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-10",77,153]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-11",60,202.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-12",54,564]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-13",44,326]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-14",50,308]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-15",69,220]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-16",59,448.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-17",81,239]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-18",82,227]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-19",59,222]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-20",47,282]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-21",71,225]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-22",45,332]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-23",65,178]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-24",78,290]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-25",54,246]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-26",46,598]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-27",81,186]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-28",52,584]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-29",79,259]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-30",77,162]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-05-31",66,162]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-01",60,300]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-02",66,228]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-03",63,336]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-04",76,164]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-05",64,238.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-06",54,548]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-07",62,187.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-08",75,208]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-09",60,153]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-10",61,343.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-11",74,275]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-12",72,138]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-13",77,168]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-14",56,289.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-15",73,156]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-16",60,345]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-17",72,292]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-18",66,100]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-19",57,355.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-20",57,171]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-21",78,253]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-22",56,303]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-23",59,319.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-24",71,115]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-25",66,133]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-26",58,318]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-27",67,137]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-28",66,275]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-29",76,132]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-06-30",57,244.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-01",72,135]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-02",62,246]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-03",79,222]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-04",83,297]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-05",71,173]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-06",78,154]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-07",70,160]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-08",81,139]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-09",74,103]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-10",92,508]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-11",78,172]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-12",87,429]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-13",62,406.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-14",85,340.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-15",92,268]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-16",84,235]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-17",90,396]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-18",66,254]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-19",67,189]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-20",79,293]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-21",74,115]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-22",84,181]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-23",73,200]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-24",72,234]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-25",89,423]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-26",75,102]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-27",80,272]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-28",65,159]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-29",71,281]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-30",91,210]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-07-31",89,273]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-01",98,310]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-02",91,578]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-03",82,300]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-04",93,584]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-05",73,159]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-06",99,715]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-07",85,426]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-08",71,251]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-09",90,294]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-10",71,288]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-11",97,740]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-12",100,646.25]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-13",96,337.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-14",75,154]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-15",80,153]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-16",74,207]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-17",84,151]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-18",94,308]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-19",99,285]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-20",94,422]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-21",95,400]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-22",88,426]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-23",83,182]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-24",89,201]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-25",79,294]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-26",92,244]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-27",100,379.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-28",80,257]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-29",97,590]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-30",70,199]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-08-31",90,248]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-01",75,106]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-02",86,217.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-03",91,328]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-04",80,133]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-05",73,118]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-06",85,442.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-07",95,455]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-08",75,188]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-09",87,255]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-10",80,294]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-11",88,304.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-12",75,138]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-13",68,253]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-14",70,180]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-15",76,210]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-16",87,436.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-17",90,456]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-18",67,273]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-19",70,283]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-20",97,345]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-21",90,232]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-22",86,301.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-23",83,298]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-24",69,283]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-25",68,193]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-26",95,742.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-27",93,528]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-28",79,204]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-29",87,180]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-09-30",79,230]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-01",85,393]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-02",89,310.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-03",71,298]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-04",58,424.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-05",66,116]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-06",82,288]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-07",56,318]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-08",81,291]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-09",57,418.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-10",59,159]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-11",54,504]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-12",88,231]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-13",83,290]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-14",85,303]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-15",85,223.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-16",81,300]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-17",73,276]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-18",71,142]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-19",87,285]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-20",86,396]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-21",79,265]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-22",61,151.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-23",60,361.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-24",78,210]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-25",81,288]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-26",79,174]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-27",68,260]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-28",68,197]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-29",60,276]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-30",73,137]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-10-31",74,132]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-01",46,224]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-02",66,131]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-03",50,210]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-04",49,498]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-05",68,284]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-06",63,150]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-07",57,289.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-08",62,237]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-09",66,136]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-10",62,424.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-11",53,574]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-12",63,391.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-13",61,382.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-14",64,436.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-15",51,578]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-16",56,328.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-17",54,590]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-18",53,446]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-19",50,226]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-20",68,231]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-21",58,315]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-22",49,220]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-23",67,264]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-24",49,358]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-25",47,498]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-26",49,448]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-27",47,578]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-28",62,402]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-29",47,466]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-11-30",49,330]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-01",64,214.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-02",62,190.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-03",60,270]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-04",66,109]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-05",62,384]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-06",66,286]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-07",49,278]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-08",62,264]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-09",65,179]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-10",62,265.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-11",61,357]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-12",31,737.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-13",53,272]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-14",52,236]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-15",55,267]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-16",61,450]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-17",50,486]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-18",55,217.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-19",60,274.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-20",43,221.45]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-21",63,174]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-22",49,206]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-23",40,539.65]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-24",33,677.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-25",62,157.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-26",32,680]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-27",33,580]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-28",52,538]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-29",32,252.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-30",59,348]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2015-12-31",32,387.5]

{"sheet":"Ybar & Xbar Lines","index":5,"n_rows":191,"n_cols":14,"rows_kept":191,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)",null,null,null,null,null,null,null,null,null,null,"Where is the preponderance of Markers? All Quadrants? Mostly I & III? Mostly II & IV?"]
[1,63566,651334.36]
[2,50762,527670.41999999993]
[3,50941,523751.3]
[4,17597,175466.61]
[5,33029,377977.97]
[6,58543,520100.29]
[7,60492,620856.28]
[8,59686,593739.46]
[9,16432,181948.96]
[10,17262,184643.6]
[11,39118,379373.56]
[12,36078,238687.94]
[13,42113,410066.15]
[14,50562,413540.78]
[15,38240,340241.6,null,null,"x","Ybar","Xbar","y"]
[16,59870,582843,null,"Min",{"$f":"MIN(B2:B191)","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915},{"$f":"AVERAGE($B$2:$B$191)","v":40429.526315789473},{"$f":"MIN(C2:C191)","v":110924.66}]
[17,46056,433185.92,null,"Max",{"$f":"MAX(B2:B191)","v":64717},370058.95063157915,40429.526315789473,{"$f":"MAX(C2:C191)","v":731834.3}]
[18,33349,270770.38]
[19,16207,164421.41999999998]
[20,57077,478077.5]
[21,30893,393839.09]
[22,54153,430154.06]
[23,14591,210792.82]
[24,50138,343808.68]
[25,55253,565510.49]
[26,34944,330250.88]
[27,26413,295905.03000000003]
[28,54660,562164.19999999995]
[29,35887,257067.99]
[30,42021,384066.95]
[31,47349,441576.23]
[32,24364,252221.2]
[33,58406,552875.65999999992]
[34,51643,446101.81]
[35,55115,476038.95]
[36,35416,393889.36]
[37,37274,328436.78000000003]
[38,36148,408949.64]
[39,32192,394776.32000000001]
[40,51238,455804.96]
[41,59235,526249.4]
[42,59329,562602.56000000006]
[43,22739,180749.25]
[44,28654,275506.98]
[45,36786,372981.08]
[46,20813,216087.74]
[47,57259,470281.06]
[48,57707,481071.29]
[49,61539,612466.46]
[50,36635,370922.6]
[51,39086,448677.2]
[52,33062,259282.46]
[53,42144,354279.67999999999]
[54,18828,185749.88]
[55,57070,415818.7]
[56,27991,252095.02]
[57,37876,329524.88]
[58,16134,233120.9]
[59,55466,376140.08]
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{"sheet":"Ybar & Xbar Lines (an)","index":6,"n_rows":191,"n_cols":14,"rows_kept":191,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)",null,null,null,null,null,null,null,null,null,null,"Where is the preponderance of Markers? All Quadrants? Mostly I & III? Mostly II & IV?"]
[1,63566,651334.36]
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[14,50562,413540.78]
[15,38240,340241.6,null,null,"x","Ybar","Xbar","y"]
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[17,46056,433185.92,null,"Max",{"$f":"MAX(B2:B191)","v":64717},370058.95063157915,40429.526315789473,{"$f":"MAX(C2:C191)","v":731834.3}]
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{"sheet":"Cov & Corr (1)","index":7,"n_rows":204,"n_cols":6,"rows_kept":204,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","X Deviation\n(Xi - Xbar)","Y Deviation\n(Yi - Ybar)","(Xi - Xbar)*\n(Yi - Ybar)"]
[1,63566,651334.36]
[2,50762,527670.41999999993]
[3,50941,523751.3]
[4,17597,175466.61]
[5,33029,377977.97]
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[11,39118,379373.56]
[12,36078,238687.94]
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[16,59870,582843]
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[170,28259,242161.2]
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[172,62568,496735.52]
[173,56139,513074.17]
[174,23120,214614.39999999999]
[175,17006,110924.66]
[176,31596,329940.56]
[177,40607,363486.04]
[178,61771,569494.11]
[179,30412,279610.59999999998]
[180,36947,361463.21]
[181,43194,395552]
[182,56866,492417.48]
[183,39851,367213.96]
[184,36617,312177.71999999997]
[185,46438,331878.65999999997]
[186,27520,266032]
[187,28852,311399.12]
[188,60878,505367.44]
[189,32779,211928.26]
[190,49959,401211.77]
[null,null,"Total"]
[]
["Count = n =",{"$f":"COUNT(B2:B191)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B194),_xlfn.FORMULATEXT(B194),\"\")","v":" =COUNT(B2:B191)"}]
["n-1",{"$f":"B194-1","v":189}," =B194-1"]
["Xbar",{"$f":"AVERAGE(B2:B191)","v":40429.526315789473}," =AVERAGE(B2:B191)"]
["Ybar",{"$f":"AVERAGE(C2:C191)","v":370058.95063157915}," =AVERAGE(C2:C191)"]
["Sample  Standard Deviation X = sx",{"$f":"_xlfn.STDEV.S(B2:B191)","v":14643.359205164403}," =STDEV.S(B2:B191)"]
["Sample  Standard Deviation Y = sy",{"$f":"_xlfn.STDEV.S(C2:C191)","v":131523.17276540631}," =STDEV.S(C2:C191)"]
["Covariance = sxy",null," "]
["Covariance = sxy",null," "]
["Coefficient of Correlation = rxy",null," "]
["Coefficient of Correlation = rxy",null," "]
["Coefficient of Correlation = rxy",null," "]

{"sheet":"Cov & Corr (1an)","index":8,"n_rows":204,"n_cols":6,"rows_kept":204,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","X Deviation\n(Xi - Xbar)","Y Deviation\n(Yi - Ybar)","(Xi - Xbar)*\n(Yi - Ybar)"]
[1,63566,651334.36,{"$f":"B2-$B$196","v":23136.473684210527},{"$f":"C2-$B$197","v":281275.40936842083},{"$f":"D2*E2","v":6507721106.8680115}]
[2,50762,527670.41999999993,{"$f":"B3-$B$196","v":10332.473684210527},{"$f":"C3-$B$197","v":157611.46936842077},{"$f":"D3*E3","v":1628516359.5789611}]
[3,50941,523751.3,10511.473684210527,153692.34936842084,1615533085.850646]
[4,17597,175466.61,-22832.526315789473,-194592.34063157917,4443034738.3216009]
[5,33029,377977.97,-7400.5263157894733,7919.0193684208207,-58604911.231244817]
[6,58543,520100.29,18113.473684210527,150041.33936842083,2717769852.1935916]
[7,60492,620856.28,20062.473684210527,250797.32936842088,5031614820.5242233]
[8,59686,593739.46,19256.473684210527,223680.50936842081,4307297842.323802]
[9,16432,181948.96,-23997.526315789473,-188109.99063157916,4514174450.444232]
[10,17262,184643.6,-23167.526315789473,-185415.35063157915,4295615015.1084423]
[11,39118,379373.56,-1311.5263157894733,9314.6093684208463,-12216355.307983106]
[12,36078,238687.94,-4351.5263157894733,-131371.01063157915,571664409.89517534]
[13,42113,410066.15,1683.4736842105267,40007.199368420872,67351067.315700546]
[14,50562,413540.78,10132.473684210527,43481.829368420877,440578491.81685698]
[15,38240,340241.6,-2189.5263157894733,-29817.350631579175,65285873.874964476]
[16,59870,582843,19440.473684210527,212784.04936842085,4136622712.1665392]
[17,46056,433185.92,5626.4736842105267,63126.969368420832,355182231.91538382]
[18,33349,270770.38,-7080.5263157894733,-99288.570631579147,703015337.21401799]
[19,16207,164421.41999999998,-24222.526315789473,-205637.53063157917,4981060497.2373905]
[20,57077,478077.5,16647.473684210527,108018.54936842085,1798235958.0173817]
[21,30893,393839.09,-9536.5263157894733,23780.139368420874,-226779924.88008693]
[22,54153,430154.06,13723.473684210527,60095.109368420846,824713651.96727693]
[23,14591,210792.82,-25838.526315789473,-159266.13063157914,4115202107.5380216]
[24,50138,343808.68,9708.4736842105267,-26250.270631579158,-254850061.63009071]
[25,55253,565510.49,14823.473684210527,195451.53936842084,2897270750.3662243]
[26,34944,330250.88,-5485.5263157894733,-39808.070631579147,218368219.03033349]
[27,26413,295905.03000000003,-14016.526315789473,-74153.920631579123,1039380379.9514928]
[28,54660,562164.19999999995,14230.473684210527,192105.2493684208,2733748695.7360129]
[29,35887,257067.99,-4542.5263157894733,-112990.96063157916,513264412.11528069]
[30,42021,384066.95,1591.4736842105267,14007.99936842086,22293362.363279477]
[31,47349,441576.23,6919.4736842105267,71517.27936842083,494861932.5561204]
[32,24364,252221.2,-16065.526315789473,-117837.75063157914,1893125483.7650723]
[33,58406,552875.65999999992,17976.473684210527,182816.70936842076,3286399764.9953799]
[34,51643,446101.81,11213.473684210527,76042.859368420846,852704602.39990902]
[35,55115,476038.95,14685.473684210527,105979.99936842086,1556366491.7775929]
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[37,37274,328436.78000000003,-3155.5263157894733,-41622.170631579123,131339854.74822769]
[38,36148,408949.64,-4281.5263157894733,38890.689368420863,-166511509.97008783]
[39,32192,394776.32000000001,-8237.5263157894733,24717.369368420856,-203609980.62945542]
[40,51238,455804.96,10808.473684210527,85746.00936842087,926783485.78464627]
[41,59235,526249.4,18805.473684210527,156190.44936842087,2937235385.3228555]
[42,59329,562602.56000000006,18899.473684210527,192543.6093684209,3638972878.3213825]
[43,22739,180749.25,-17690.526315789473,-189309.70063157915,3348988240.8571782]
[44,28654,275506.98,-11775.526315789473,-94551.97063157917,1113399218.3819139]
[45,36786,372981.08,-3643.5263157894733,2922.1293684208649,-10646855.251982694]
[46,20813,216087.74,-19616.526315789473,-153971.21063157916,3020380305.2283363]
[47,57259,470281.06,16829.473684210527,100222.10936842085,1686685352.1919079]
[48,57707,481071.29,17277.473684210527,111012.33936842083,1918012772.060539]
[49,61539,612466.46,21109.473684210527,242407.50936842081,5117094939.8676958]
[50,36635,370922.6,-3794.5263157894733,863.64936842082534,-3277140.25608778]
[51,39086,448677.2,-1343.5263157894733,78618.24936842086,-105625686.92777257]
[52,33062,259282.46,-7367.5263157894733,-110776.49063157916,816148709.89896548]
[53,42144,354279.67999999999,1714.4736842105267,-15779.270631579158,-27053144.253878485]
[54,18828,185749.88,-21601.526315789473,-184309.07063157915,3981357239.4867578]
[55,57070,415818.7,16640.473684210527,45759.74936842086,761463905.16127658]
[56,27991,252095.02,-12438.526315789473,-117963.93063157916,1467297455.4748614]
[57,37876,329524.88,-2553.5263157894733,-40534.070631579147,103504816.04380658]
[58,16134,233120.9,-24295.526315789473,-136938.05063157916,3326982012.7524428]
[59,55466,376140.08,15036.473684210527,6081.1293684208649,91438741.718540117]
[60,26100,208166,-14329.526315789473,-161892.95063157915,2319849296.4160194]
[61,23787,226261.67,-16642.526315789473,-143797.28063157914,2393150027.0500197]
[62,30895,249581.7,-9534.5263157894733,-120477.25063157914,1148693516.6007552]
[63,31845,278010.2,-8584.5263157894733,-92048.75063157914,790194922.13233399]
[64,50618,537451.34000000008,10188.473684210527,167392.38936842093,1705472954.0172787]
[65,62293,448052.27,21863.473684210527,77993.319368420867,1705204885.5556967]
[66,61228,519618.76,{"$f":"B67-$B$196","v":20798.473684210527},{"$f":"C67-$B$197","v":149559.80936842086},{"$f":"D67*E67","v":3110615759.3646441}]
[67,32558,364510.28,-7871.5263157894733,-5548.6706315791234,43676506.894123271]
[68,40694,351135.6,264.4736842105267,-18923.350631579175,-5004728.2591413418]
[69,46333,390547.55,5903.4736842105267,20488.599368420837,120953907.19780482]
[70,28415,234129.2,-12014.526315789473,-135929.75063157914,1633131566.0618083]
[71,19993,224538.89,-20436.526315789473,-145520.06063157914,2973924548.572547]
[72,34414,248912.92,-6015.5263157894733,-121146.03063157914,728757135.31770194]
[73,52078,328096.52,11648.473684210527,-41962.430631579133,-488798268.93745923]
[74,24507,262965.82999999996,-15922.526315789473,-107093.12063157919,1705193031.4963362]
[75,28516,334304.52,-11913.526315789473,-35754.430631579133,425961350.23538727]
[76,17554,216060.84,-22875.526315789473,-153998.11063157915,3522787832.3345475]
[77,16662,183462.62,-23767.526315789473,-186596.33063157916,4434933198.7158108]
[78,57162,517013.54,16732.473684210527,146954.58936842083,2458913799.3810654]
[79,57297,731834.3,16867.473684210527,361775.3493684209,6102236185.0679092]
[80,64112,439159.84,23682.473684210527,69100.889368420874,1636479994.0231702]
[81,37237,453649.08,-3192.5263157894733,83590.129368420865,-266863687.74893013]
[82,55058,495969.8,14628.473684210527,125910.84936842084,1841883546.5425398]
[83,30791,306489.03000000003,-9638.5263157894733,-63569.920631579123,612720352.9001236]
[84,19784,226868.96,-20645.526315789473,-143189.99063157916,2956232719.7419157]
[85,32463,316845.86,-7966.5263157894733,-53213.090631579165,423923486.86096573]
[86,59364,496417.28000000003,18934.473684210527,126358.32936842088,2392528462.2071714]
[87,64632,527881.68000000005,24202.473684210527,157822.7293684209,3819700454.3094869]
[88,58106,535766.15999999992,17676.473684210527,165707.20936842076,2929119125.6848536]
[89,60333,469314.35,19903.473684210527,99255.399368420825,1975527229.34517]
[90,58353,558254.63,17923.473684210527,188195.67936842085,3373120306.6420131]
[91,22672,197141.28,-17757.526315789473,-172917.67063157915,3070590086.7052832]
[92,64325,563313.5,23895.473684210527,193254.54936842085,4617908998.7870646]
[93,32326,365825.02,-8103.5263157894733,-4233.9306315791328,34309768.292228647]
[94,16138,206538.6,-24291.526315789473,-163520.35063157915,3972158900.5341268]
[95,34957,320916.75,-5472.5263157894733,-49142.200631579151,268931986.17212296]
[96,26159,294325.06,-14270.526315789473,-75733.890631579154,1080762479.2550721]
[97,42098,329951.7,1668.4736842105267,-40107.25063157914,-66917892.224825822]
[98,20582,161277.70000000001,-19847.526315789473,-208781.25063157914,4143791366.1537046]
[99,45614,428140.06,5184.4736842105267,58081.109368420846,301119983.07033134]
[100,42729,433279.13,2299.4736842105267,63220.179368420853,145373138.76875302]
[101,40053,346792.73,-376.5263157894733,-23266.22063157917,8760344.3367535379]
[102,51749,540063.03,11319.473684210527,170004.07936842088,1924356702.619278]
[103,59753,588972.06000000006,19323.473684210527,218913.1093684209,4230161708.0093822]
[104,34045,290698.15000000002,-6384.5263157894733,-79360.800631579128,506681120.07443881]
[105,56384,544487.67999999993,15954.473684210527,174428.72936842078,2782918572.4787493]
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[121,53820,524692.4,13390.473684210527,154633.44936842087,2070615134.4665406]
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[127,55174,474839.8,14744.473684210527,104780.84936842084,1544938476.1219082]
[128,52278,474497.36,11848.473684210527,104438.40936842083,1237435745.0225403]
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[130,62145,642241.85,{"$f":"B131-$B$196","v":21715.473684210527},{"$f":"C131-$B$197","v":272182.89936842083},{"$f":"D131*E131","v":5910580588.5270643}]
[131,58106,475335.92,17676.473684210527,105276.96936842083,1860925578.5943286]
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[189,32779,211928.26,-7650.5263157894733,-158130.69063157914,1209783010.0108602]
[190,49959,401211.77,9529.4736842105267,31152.819368420867,296869972.36033064]
[null,null,"Total",{"$f":"SUM(D2:D191)","v":4.5110937207937241E-10},{"$f":"SUM(E2:E191)","v":-3.8911821320652962E-8},{"$f":"SUM(F2:F191)","v":334004310209.89691}]
[]
["Count = n =",{"$f":"COUNT(B2:B191)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B194),_xlfn.FORMULATEXT(B194),\"\")","v":" =COUNT(B2:B191)"}]
["n-1",{"$f":"B194-1","v":189}," =B194-1"]
["Xbar",{"$f":"AVERAGE(B2:B191)","v":40429.526315789473}," =AVERAGE(B2:B191)"]
["Ybar",{"$f":"AVERAGE(C2:C191)","v":370058.95063157915}," =AVERAGE(C2:C191)"]
["Sample  Standard Deviation X = sx",{"$f":"_xlfn.STDEV.S(B2:B191)","v":14643.359205164403}," =STDEV.S(B2:B191)"]
["Sample  Standard Deviation Y = sy",{"$f":"_xlfn.STDEV.S(C2:C191)","v":131523.17276540631}," =STDEV.S(C2:C191)"]
["Covariance = sxy",{"$f":"F192/B195","v":1767218572.5391371}," =F192/B195"]
["Covariance = sxy",{"$f":"_xlfn.COVARIANCE.S(C2:C191,B2:B191)","v":1767218572.5391371}," =COVARIANCE.S(C2:C191,B2:B191)"]
["Coefficient of Correlation = rxy",{"$f":"B200/PRODUCT(B198:B199)","v":0.91758704710684424}," =B200/PRODUCT(B198:B199)"]
["Coefficient of Correlation = rxy",{"$f":"PEARSON(C2:C191,B2:B191)","v":0.91758704710684036}," =PEARSON(C2:C191,B2:B191)"]
["Coefficient of Correlation = rxy",{"$f":"CORREL(C2:C191,B2:B191)","v":0.91758704710684036}," =CORREL(C2:C191,B2:B191)"]

{"sheet":"Cov & Corr (2)","index":9,"n_rows":24,"n_cols":19,"rows_kept":24,"cut":false,"hidden":false,"merged":[]}
["For Entry Level BMX Race Bikes, Is there a Relationship between Price and Weight of Bike?",null,null,null,"Covariance",null,{"$f":"IF(_xlfn.ISFORMULA(F1),_xlfn.FORMULATEXT(F1),\"\")","v":""},null,null,null,null,null,null,null,null,"x","y",null,"Covariance"]
[null,null,null,null,"C of Correlation",null,"",null,null,null,null,null,null,null,null,5,6,null,"Correlation"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-6,4]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y",null,null,null,null,null,null,null,null,null,null,null,null,4,-6]
["2015 SE Ripper",22.4,299,null,null,null,null,null,null,null,null,null,null,null,null,-7,3]
["2014 Redline MX",21,462,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P2*2","v":10},12]
["2015 SE PK Ripper Elite",21,549,null,null,null,null,null,null,null,null,null,null,null,null,-12,8]
["2015 Grenade Launch Pro X",26,180,null,null,null,null,null,null,null,null,null,null,null,null,8,-12]
["2015 SE PK Ripper Elite XL",21.1,549,null,null,null,null,null,null,null,null,null,null,null,null,-6,-5]
["2015 Grenade M1",26,240,null,null,null,null,null,null,null,null,null,null,null,null,-5,-8]
["2015 Framed Team",26.4,180,null,null,null,null,null,null,null,null,null,null,null,null,9,6]
["2014 Redline MX",21,431,null,null,null,null,null,null,null,null,null,null,null,null,6,-13]
["2014 Framed Team",25.2,360,null,null,null,null,null,null,null,null,null,null,null,null,-11,-15]
["2014 Grenade MX",26,230,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P5*2","v":-14},{"$f":"Q5*2","v":6}]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]

{"sheet":"Cov & Corr (2an)","index":10,"n_rows":24,"n_cols":18,"rows_kept":24,"cut":false,"hidden":false,"merged":[]}
["For Entry Level BMX Race Bikes, Is there a Relationship between Price and Weight of Bike?",null,null,null,"Covariance",{"$f":"_xlfn.COVARIANCE.S(C5:C24,B5:B24)","v":-339.8734210526315},{"$f":"IF(_xlfn.ISFORMULA(F1),_xlfn.FORMULATEXT(F1),\"\")","v":"=COVARIANCE.S(C5:C24,B5:B24)"},null,null,null,null,null,null,"x","y",null,"Covariance",{"$f":"_xlfn.COVARIANCE.S(O2:O14,N2:N14)","v":-0.37179487179486986}]
[null,null,null,null,"C of Correlation",{"$f":"PEARSON(C5:C24,B5:B24)","v":-0.89754352429951367},"=PEARSON(C5:C24,B5:B24)",null,null,null,null,null,null,5,6,null,"Correlation",{"$f":"PEARSON(O2:O14,N2:N14)","v":-4.7259092762332667E-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,-6,4]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y",null,null,null,null,null,null,null,null,null,null,4,-6]
["2015 SE Ripper",22.4,299,null,null,null,null,null,null,null,null,null,null,-7,3]
["2014 Redline MX",21,462,null,null,null,null,null,null,null,null,null,null,{"$f":"N2*2","v":10},12]
["2015 SE PK Ripper Elite",21,549,null,null,null,null,null,null,null,null,null,null,-12,8]
["2015 Grenade Launch Pro X",26,180,null,null,null,null,null,null,null,null,null,null,8,-12]
["2015 SE PK Ripper Elite XL",21.1,549,null,null,null,null,null,null,null,null,null,null,-6,-5]
["2015 Grenade M1",26,240,null,null,null,null,null,null,null,null,null,null,-5,-8]
["2015 Framed Team",26.4,180,null,null,null,null,null,null,null,null,null,null,9,6]
["2014 Redline MX",21,431,null,null,null,null,null,null,null,null,null,null,6,-13]
["2014 Framed Team",25.2,360,null,null,null,null,null,null,null,null,null,null,-11,-15]
["2014 Grenade MX",26,230,null,null,null,null,null,null,null,null,null,null,{"$f":"N5*2","v":-14},{"$f":"O5*2","v":6}]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]

{"sheet":"Cov & Corr (3)","index":11,"n_rows":195,"n_cols":18,"rows_kept":195,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)"]
[1,63566,651334.36]
[2,50762,527670.41999999993]
[3,50941,523751.3]
[4,17597,175466.61]
[5,33029,377977.97]
[6,58543,520100.29]
[7,60492,620856.28]
[8,59686,593739.46]
[9,16432,181948.96]
[10,17262,184643.6]
[11,39118,379373.56]
[12,36078,238687.94]
[13,42113,410066.15]
[14,50562,413540.78]
[15,38240,340241.6]
[16,59870,582843]
[17,46056,433185.92]
[18,33349,270770.38]
[19,16207,164421.41999999998]
[20,57077,478077.5]
[21,30893,393839.09]
[22,54153,430154.06]
[23,14591,210792.82]
[24,50138,343808.68]
[25,55253,565510.49]
[26,34944,330250.88]
[27,26413,295905.03000000003]
[28,54660,562164.19999999995]
[29,35887,257067.99]
[30,42021,384066.95]
[31,47349,441576.23]
[32,24364,252221.2]
[33,58406,552875.65999999992]
[34,51643,446101.81]
[35,55115,476038.95]
[36,35416,393889.36]
[37,37274,328436.78000000003]
[38,36148,408949.64]
[39,32192,394776.32000000001]
[40,51238,455804.96]
[41,59235,526249.4]
[42,59329,562602.56000000006]
[43,22739,180749.25]
[44,28654,275506.98]
[45,36786,372981.08]
[46,20813,216087.74]
[47,57259,470281.06]
[48,57707,481071.29]
[49,61539,612466.46]
[50,36635,370922.6]
[51,39086,448677.2]
[52,33062,259282.46]
[53,42144,354279.67999999999]
[54,18828,185749.88]
[55,57070,415818.7]
[56,27991,252095.02]
[57,37876,329524.88]
[58,16134,233120.9]
[59,55466,376140.08]
[60,26100,208166]
[61,23787,226261.67]
[62,30895,249581.7]
[63,31845,278010.2]
[64,50618,537451.34000000008]
[65,62293,448052.27]
[66,61228,519618.76]
[67,32558,364510.28]
[68,40694,351135.6]
[69,46333,390547.55]
[70,28415,234129.2]
[71,19993,224538.89]
[72,34414,248912.92]
[73,52078,328096.52]
[74,24507,262965.82999999996]
[75,28516,334304.52]
[76,17554,216060.84]
[77,16662,183462.62]
[78,57162,517013.54]
[79,57297,731834.3]
[80,64112,439159.84]
[81,37237,453649.08]
[82,55058,495969.8]
[83,30791,306489.03000000003]
[84,19784,226868.96]
[85,32463,316845.86]
[86,59364,496417.28000000003]
[87,64632,527881.68000000005]
[88,58106,535766.15999999992]
[89,60333,469314.35]
[90,58353,558254.63]
[91,22672,197141.28]
[92,64325,563313.5]
[93,32326,365825.02]
[94,16138,206538.6]
[95,34957,320916.75]
[96,26159,294325.06]
[97,42098,329951.7]
[98,20582,161277.70000000001]
[99,45614,428140.06]
[100,42729,433279.13]
[101,40053,346792.73]
[102,51749,540063.03]
[103,59753,588972.06000000006]
[104,34045,290698.15000000002]
[105,56384,544487.67999999993]
[106,33242,206569.82]
[107,49060,550902.6]
[108,38219,321737.09000000003]
[109,56891,568845.91999999993]
[110,52906,426690.72]
[111,44835,430649.15]
[112,45028,400768.12]
[113,15988,175665.68]
[114,64717,558028.44999999995]
[115,15196,163514.12]
[116,45093,398568.89]
[117,51099,483830.51]
[118,40839,292958.71999999997]
[119,29773,275083.88]
[120,60954,599805.07999999996]
[121,53820,524692.4]
[122,19365,196012.1]
[123,39109,360134.37]
[124,40439,312044.71999999997]
[125,35117,268076.57]
[126,50624,394243.2]
[127,55174,474839.8]
[128,52278,474497.36]
[129,30557,301178.54000000004]
[130,62145,642241.85]
[131,58106,475335.92]
[132,55233,543230.68999999994]
[133,51653,343389.04]
[134,16221,195989]
[135,28538,295141.42000000004]
[136,33546,355268.6]
[137,50539,505356.39]
[138,14677,180772.07]
[139,15835,146751.85]
[140,24504,198984.32000000001]
[141,21816,210783.92]
[142,28370,246604.1]
[143,46733,430873.95]
[144,46568,393671.84]
[145,42540,363945.2]
[146,39348,275857.52]
[147,34125,350641.25]
[148,61572,580750.64]
[149,54730,410123.4]
[150,38799,332068.73]
[151,22293,208949.09]
[152,37202,346499.94]
[153,53171,474836.29]
[154,33287,255380.79]
[155,35445,237858.5]
[156,21723,224001.23]
[157,40939,439329.89]
[158,45048,362182.64]
[159,30296,299639.04000000004]
[160,53521,457210.54]
[161,24680,209679.6]
[162,46956,426587.12]
[163,16392,200150.72]
[164,53761,534924.22]
[165,56104,460681.28]
[166,15241,151200.24]
[167,19284,212426.64]
[168,14673,181763.54]
[169,57793,497895.75]
[170,28259,242161.2]
[171,30304,206671.68]
[172,62568,496735.52]
[173,56139,513074.17]
[174,23120,214614.39999999999]
[175,17006,110924.66]
[176,31596,329940.56]
[177,40607,363486.04]
[178,61771,569494.11]
[179,30412,279610.59999999998]
[180,36947,361463.21]
[181,43194,395552]
[182,56866,492417.48]
[183,39851,367213.96]
[184,36617,312177.71999999997]
[185,46438,331878.65999999997]
[186,27520,266032]
[187,28852,311399.12]
[188,60878,505367.44]
[189,32779,211928.26]
[190,49959,401211.77]
[]
[]
["Covariance = sxy",{"$f":"_xlfn.COVARIANCE.S(C2:C191,B2:B191)","v":1767218572.5391371},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B194),_xlfn.FORMULATEXT(B194),\"\")","v":" =COVARIANCE.S(C2:C191,B2:B191)"}]
["Coefficient of Correlation = rxy",{"$f":"PEARSON(C2:C191,B2:B191)","v":0.91758704710684036}," =PEARSON(C2:C191,B2:B191)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"df = n - estimated parameters"]

{"sheet":"Slope & Int (1)","index":12,"n_rows":217,"n_cols":18,"rows_kept":217,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","X Deviation\n(Xi - Xbar)","Y Deviation\n(Yi - Ybar)","(Xi - Xbar)*\n(Yi - Ybar)","X Deviation^2\n(Xi - Xbar)^2"]
[1,63566,651334.36,{"$f":"B2-$B$196","v":23136.473684210527},{"$f":"C2-$B$197","v":281275.40936842083},{"$f":"D2*E2","v":6507721106.8680115}]
[2,50762,527670.41999999993,10332.473684210527,157611.46936842077,1628516359.5789611]
[3,50941,523751.3,10511.473684210527,153692.34936842084,1615533085.850646]
[4,17597,175466.61,-22832.526315789473,-194592.34063157917,4443034738.3216009]
[5,33029,377977.97,-7400.5263157894733,7919.0193684208207,-58604911.231244817]
[6,58543,520100.29,18113.473684210527,150041.33936842083,2717769852.1935916]
[7,60492,620856.28,20062.473684210527,250797.32936842088,5031614820.5242233]
[8,59686,593739.46,19256.473684210527,223680.50936842081,4307297842.323802]
[9,16432,181948.96,-23997.526315789473,-188109.99063157916,4514174450.444232]
[10,17262,184643.6,-23167.526315789473,-185415.35063157915,4295615015.1084423]
[11,39118,379373.56,-1311.5263157894733,9314.6093684208463,-12216355.307983106]
[12,36078,238687.94,-4351.5263157894733,-131371.01063157915,571664409.89517534]
[13,42113,410066.15,1683.4736842105267,40007.199368420872,67351067.315700546]
[14,50562,413540.78,10132.473684210527,43481.829368420877,440578491.81685698]
[15,38240,340241.6,-2189.5263157894733,-29817.350631579175,65285873.874964476]
[16,59870,582843,19440.473684210527,212784.04936842085,4136622712.1665392]
[17,46056,433185.92,5626.4736842105267,63126.969368420832,355182231.91538382]
[18,33349,270770.38,-7080.5263157894733,-99288.570631579147,703015337.21401799]
[19,16207,164421.41999999998,-24222.526315789473,-205637.53063157917,4981060497.2373905]
[20,57077,478077.5,16647.473684210527,108018.54936842085,1798235958.0173817]
[21,30893,393839.09,-9536.5263157894733,23780.139368420874,-226779924.88008693]
[22,54153,430154.06,13723.473684210527,60095.109368420846,824713651.96727693]
[23,14591,210792.82,-25838.526315789473,-159266.13063157914,4115202107.5380216]
[24,50138,343808.68,9708.4736842105267,-26250.270631579158,-254850061.63009071]
[25,55253,565510.49,14823.473684210527,195451.53936842084,2897270750.3662243]
[26,34944,330250.88,-5485.5263157894733,-39808.070631579147,218368219.03033349]
[27,26413,295905.03000000003,-14016.526315789473,-74153.920631579123,1039380379.9514928]
[28,54660,562164.19999999995,14230.473684210527,192105.2493684208,2733748695.7360129]
[29,35887,257067.99,-4542.5263157894733,-112990.96063157916,513264412.11528069]
[30,42021,384066.95,1591.4736842105267,14007.99936842086,22293362.363279477]
[31,47349,441576.23,6919.4736842105267,71517.27936842083,494861932.5561204]
[32,24364,252221.2,-16065.526315789473,-117837.75063157914,1893125483.7650723]
[33,58406,552875.65999999992,{"$f":"B34-$B$196","v":17976.473684210527},{"$f":"C34-$B$197","v":182816.70936842076},3286399764.9953799]
[34,51643,446101.81,11213.473684210527,76042.859368420846,852704602.39990902]
[35,55115,476038.95,14685.473684210527,105979.99936842086,1556366491.7775929]
[36,35416,393889.36,-5013.5263157894733,23830.409368420835,-119474384.48461385]
[37,37274,328436.78000000003,-3155.5263157894733,-41622.170631579123,131339854.74822769]
[38,36148,408949.64,-4281.5263157894733,38890.689368420863,-166511509.97008783]
[39,32192,394776.32000000001,-8237.5263157894733,24717.369368420856,-203609980.62945542]
[40,51238,455804.96,10808.473684210527,85746.00936842087,926783485.78464627]
[41,59235,526249.4,18805.473684210527,156190.44936842087,2937235385.3228555]
[42,59329,562602.56000000006,18899.473684210527,192543.6093684209,3638972878.3213825]
[43,22739,180749.25,-17690.526315789473,-189309.70063157915,3348988240.8571782]
[44,28654,275506.98,-11775.526315789473,-94551.97063157917,1113399218.3819139]
[45,36786,372981.08,-3643.5263157894733,2922.1293684208649,-10646855.251982694]
[46,20813,216087.74,-19616.526315789473,-153971.21063157916,3020380305.2283363]
[47,57259,470281.06,16829.473684210527,100222.10936842085,1686685352.1919079]
[48,57707,481071.29,17277.473684210527,111012.33936842083,1918012772.060539]
[49,61539,612466.46,21109.473684210527,242407.50936842081,5117094939.8676958]
[50,36635,370922.6,-3794.5263157894733,863.64936842082534,-3277140.25608778]
[51,39086,448677.2,-1343.5263157894733,78618.24936842086,-105625686.92777257]
[52,33062,259282.46,-7367.5263157894733,-110776.49063157916,816148709.89896548]
[53,42144,354279.67999999999,1714.4736842105267,-15779.270631579158,-27053144.253878485]
[54,18828,185749.88,-21601.526315789473,-184309.07063157915,3981357239.4867578]
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[null,null,"Total",{"$f":"SUM(D2:D191)","v":4.5110937207937241E-10},{"$f":"SUM(E2:E191)","v":-3.8911821320652962E-8},{"$f":"SUM(F2:F191)","v":334004310209.89691}]
[]
["Count = n =",{"$f":"COUNT(A2:A191)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B194),_xlfn.FORMULATEXT(B194),\"\")","v":" =COUNT(A2:A191)"}]
["n-1",{"$f":"B194-1","v":189}," =B194-1",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"df = n - estimated parameters"]
["Xbar",{"$f":"AVERAGE(B2:B191)","v":40429.526315789473}," =AVERAGE(B2:B191)"]
["Ybar",{"$f":"AVERAGE(C2:C191)","v":370058.95063157915}," =AVERAGE(C2:C191)"]
["Slope = b1 =",null," "]
["y-intercept = b0 =",null," "]
["Slope = b1 =",null," "]
["y-intercept = b0 =",null," "]
["Estimated Regression Equation:",{"$f":"IF(ISNUMBER(B201),\"Yhat = \"&ROUND(B198,2)&\" * x + \"&ROUND(B199,2),\"\")","v":""}]
["Min X",null," "]
["Max X",null," "]
["Experimental Region","Now that we have an equation, we cannot just use any x in the equation. Our Sample min & max x values are from about 14,500 to 64,700."]
[null,"We should limit our estimates and predictions to the Experimental Range. Any extrapolation outside this range yields unreliable estimates."]
["x",40000," "]
[{"$f":"\"Yhat when x = \"&ROUND(B207,0)&\" =\"","v":"Yhat when x = 40000 ="},null," "]
[]
["We can use equation to make predictions for a particular situation, or to estimate E(y|x) over the"]
["range of x values defined by the minimum and maximum x values from our sample."]
[]
["What is the correct interpretation of slope?"]
[{"$f":"\"For every $1 increase in Ad Expense, the equation predicts that Weekly Sales will increase by \"&FIXED(B198)&\".\"","v":"For every $1 increase in Ad Expense, the equation predicts that Weekly Sales will increase by 0.00."}]
["What is the correct interpretation of the y-intercept?"]
["When x = 0, the equation predicts that the Weekly Sales will be $36,857. Because 0 is not in our Experimental Region, extrapolating  what the sales will be at x = 0 yields an unreliable estimate."]
["We still can use it to make predictions over the Experimental Region."]

{"sheet":"Slope & Int (an)","index":13,"n_rows":217,"n_cols":18,"rows_kept":217,"cut":false,"hidden":false,"merged":[]}
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[184,36617,312177.71999999997,-3812.5263157894733,-57881.230631579179,220673714.97317538,14535356.908587255]
[185,46438,331878.65999999997,6008.4736842105267,-38180.290631579177,-229405271.5153532,36101756.013850421]
[186,27520,266032,-12909.526315789473,-104026.95063157915,1342938656.7297034,166655869.69806093]
[187,28852,311399.12,-11577.526315789473,-58659.830631579156,679135732.81686115,134039115.59279777]
[188,60878,505367.44,20448.473684210527,135308.48936842085,2766852084.1004338,418140076.01385045]
[189,32779,211928.26,-7650.5263157894733,-158130.69063157914,1209783010.0108602,58530552.908587255]
[190,49959,401211.77,9529.4736842105267,31152.819368420867,296869972.36033064,90810868.698060945]
[null,null,"Total",{"$f":"SUM(D2:D191)","v":4.5110937207937241E-10},{"$f":"SUM(E2:E191)","v":-3.8911821320652962E-8},{"$f":"SUM(F2:F191)","v":334004310209.89691},{"$f":"SUM(G2:G191)","v":40526886105.368401}]
[]
["Count = n =",{"$f":"COUNT(A2:A191)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B194),_xlfn.FORMULATEXT(B194),\"\")","v":" =COUNT(A2:A191)"}]
["n-1",{"$f":"B194-1","v":189}," =B194-1",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"df = n - estimated parameters"]
["Xbar",{"$f":"AVERAGE(B2:B191)","v":40429.526315789473}," =AVERAGE(B2:B191)"]
["Ybar",{"$f":"AVERAGE(C2:C191)","v":370058.95063157915}," =AVERAGE(C2:C191)"]
["Slope = b1 =",{"$f":"F192/G192","v":8.2415488162968682}," =F192/G192"]
["y-intercept = b0 =",{"$f":"B197-B198*B196","v":36857.03588024131}," =B197-B198*B196"]
["Slope = b1 =",{"$f":"SLOPE(C2:C191,B2:B191)","v":8.2415488162968682}," =SLOPE(C2:C191,B2:B191)"]
["y-intercept = b0 =",{"$f":"INTERCEPT(C2:C191,B2:B191)","v":36857.03588024131}," =INTERCEPT(C2:C191,B2:B191)"]
["Estimated Regression Equation:",{"$f":"IF(ISNUMBER(B201),\"Yhat = \"&ROUND(B198,2)&\" * x + \"&ROUND(B199,2),\"\")","v":"Yhat = 8.24 * x + 36857.04"}]
["Min X",{"$f":"MIN(B2:B191)","v":14591}," =MIN(B2:B191)"]
["Max X",{"$f":"MAX(B2:B191)","v":64717}," =MAX(B2:B191)"]
["Experimental Region","Now that we have an equation, we cannot just use any x in the equation. Our Sample min & max x values are from about 14,500 to 64,700."]
[null,"We should limit our estimates and predictions to the Experimental Range. Any extrapolation outside this range yields unreliable estimates."]
["x",63000," "]
[{"$f":"\"Yhat when x = \"&ROUND(B207,0)&\" =\"","v":"Yhat when x = 63000 ="},{"$f":"B198*B207+B199","v":556074.61130694393}," =B198*B207+B199"]
[]
["We can use equation to make predictions for a particular situation, or to estimate E(y|x) over the"]
["range of x values defined by the minimum and maximum x values from our sample."]
[]
["What is the correct interpretation of slope?"]
[{"$f":"\"For every $1 increase in Ad Expense, the equation predicts that Weekly Sales will increase by \"&FIXED(B198)&\".\"","v":"For every $1 increase in Ad Expense, the equation predicts that Weekly Sales will increase by 8.24."}]
["What is the correct interpretation of the y-intercept?"]
["When x = 0, the equation predicts that the Weekly Sales will be $36,857. Because 0 is not in our Experimental Region, extrapolating  what the sales will be at x = 0 yields an unreliable estimate."]
["We still can use it to make predictions over the Experimental Region."]

{"sheet":"E.R.","index":14,"n_rows":6,"n_cols":17,"rows_kept":6,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X","Lower ER"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"MIN(#REF!)","v":{"$error":"#REF!"}},0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(#REF!)","v":{"$error":"#REF!"}},{"$f":"FORECAST(P3,#REF!,#REF!)","v":{"$error":"#REF!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Upper ER"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"MAX(#REF!)","v":{"$error":"#REF!"}},0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(#REF!)","v":{"$error":"#REF!"}},{"$f":"FORECAST(P6,#REF!,#REF!)","v":{"$error":"#REF!"}}]

{"sheet":"E.R. (2)","index":15,"n_rows":29,"n_cols":7,"rows_kept":29,"cut":false,"hidden":false,"merged":[]}
["For Entry Level BMX Race Bikes, we created an equation to predict Price of bike based on Weight.",null,null,null,"sxy = Covariance",{"$f":"_xlfn.COVARIANCE.S(C5:C24,B5:B24)","v":-339.8734210526315},{"$f":"IF(_xlfn.ISFORMULA(F1),_xlfn.FORMULATEXT(F1),\"\")","v":"=COVARIANCE.S(C5:C24,B5:B24)"}]
[null,null,null,null,"rxy = C of Correlation",{"$f":"PEARSON(C5:C24,B5:B24)","v":-0.89754352429951367},"=PEARSON(C5:C24,B5:B24)"]
[null,null,null,null,"b1 = Slope",null,""]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y",null,"b0 = Y-intercept",null,""]
["2015 SE Ripper",22.4,299,null,"Estimated Regression Equation:",{"$f":"IF(ISNUMBER(F4),\"Yhat = \"&ROUND(F3,3)&\"*x + \"&ROUND(F4,1),\"\")","v":""},{"$f":"\" \"&IF(_xlfn.ISFORMULA(F5),_xlfn.FORMULATEXT(F5),\"\")","v":" =IF(ISNUMBER(F4),\"Yhat = \"&ROUND(F3,3)&\"*x + \"&ROUND(F4,1),\"\")"}]
["2014 Redline MX",21,462,null,"Min X",{"$f":"MIN(B5:B24)","v":20.100000000000001}," =MIN(B5:B24)"]
["2015 SE PK Ripper Elite",21,549,null,"Max X",{"$f":"MAX(B5:B24)","v":27}," =MAX(B5:B24)"]
["2015 Grenade Launch Pro X",26,180,null,"x",25," "]
["2015 SE PK Ripper Elite XL",21.1,549,null,{"$f":"\"Yhat when x = \"&ROUND(F8,0)&\" =\"","v":"Yhat when x = 25 ="},null," "]
["2015 Grenade M1",26,240]
["2015 Framed Team",26.4,180]
["2014 Redline MX",21,431]
["2014 Framed Team",25.2,360]
["2014 Grenade MX",26,230]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]
[]
[null,null,null,null,"What is the correct interpretation of slope?"]
[null,null,null,null,"For every 1 pound increase in the bike weight, the equation predicts that the price will decrease by $58.61."]
[null,null,null,null,"What is the correct interpretation of the y-intercept?"]
[null,null,null,null,"At x = 0 (bike weights zero pounds), the equation would predict that the price is $1,732.40. This makes no sense since the bike can not weigh zero pounds."]

{"sheet":"E.R. (2an)","index":16,"n_rows":29,"n_cols":7,"rows_kept":29,"cut":false,"hidden":false,"merged":[]}
["For Entry Level BMX Race Bikes, we created an equation to predict Price of bike based on Weight.",null,null,null,"sxy = Covariance",{"$f":"_xlfn.COVARIANCE.S(C5:C24,B5:B24)","v":-339.8734210526315},{"$f":"IF(_xlfn.ISFORMULA(F1),_xlfn.FORMULATEXT(F1),\"\")","v":"=COVARIANCE.S(C5:C24,B5:B24)"}]
[null,null,null,null,"rxy = C of Correlation",{"$f":"PEARSON(C5:C24,B5:B24)","v":-0.89754352429951367},"=PEARSON(C5:C24,B5:B24)"]
[null,null,null,null,"b1 = Slope",{"$f":"SLOPE(C5:C24,B5:B24)","v":-58.606577090452014},"=SLOPE(C5:C24,B5:B24)"]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y",null,"b0 = Y-intercept",{"$f":"INTERCEPT(C5:C24,B5:B24)","v":1732.4467783873561},"=INTERCEPT(C5:C24,B5:B24)"]
["2015 SE Ripper",22.4,299,null,"Estimated Regression Equation:",{"$f":"IF(ISNUMBER(F4),\"Yhat = \"&ROUND(F3,3)&\"*x + \"&ROUND(F4,1),\"\")","v":"Yhat = -58.607*x + 1732.4"},{"$f":"\" \"&IF(_xlfn.ISFORMULA(F5),_xlfn.FORMULATEXT(F5),\"\")","v":" =IF(ISNUMBER(F4),\"Yhat = \"&ROUND(F3,3)&\"*x + \"&ROUND(F4,1),\"\")"}]
["2014 Redline MX",21,462,null,"Min X",{"$f":"MIN(B5:B24)","v":20.100000000000001}," =MIN(B5:B24)"]
["2015 SE PK Ripper Elite",21,549,null,"Max X",{"$f":"MAX(B5:B24)","v":27}," =MAX(B5:B24)"]
["2015 Grenade Launch Pro X",26,180,null,"x",25," "]
["2015 SE PK Ripper Elite XL",21.1,549,null,{"$f":"\"Yhat when x = \"&ROUND(F8,0)&\" =\"","v":"Yhat when x = 25 ="},{"$f":"F3*F8+F4","v":267.2823511260558}," =F3*F8+F4"]
["2015 Grenade M1",26,240]
["2015 Framed Team",26.4,180]
["2014 Redline MX",21,431]
["2014 Framed Team",25.2,360]
["2014 Grenade MX",26,230]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]
[]
[null,null,null,null,"What is the correct interpretation of slope?"]
[null,null,null,null,"For every 1 pound increase in the bike weight, the equation predicts that the price will decrease by $58.61."]
[null,null,null,null,"What is the correct interpretation of the y-intercept?"]
[null,null,null,null,"At x = 0 (bike weights zero pounds), the equation would predict that the price is $1,732.40. This makes no sense since the bike can not weigh zero pounds."]

{"sheet":"Better Model","index":17,"n_rows":232,"n_cols":10,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
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[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
[130,62145,642241.85,{"$f":"FORECAST(B131,$C$2:$C$191,$B$2:$B$191)","v":549028.08706901013},{"$f":"C131-D131","v":93213.762930989848}]
[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[null,"Ybar Equation Yields Same Prediction at Every X Value."]
[null,"Lots of Error with this Model."]
[null,{"$f":"\"Ybar = \"&DOLLAR(AVERAGE(C2:C191),2)","v":"Ybar = $370,058.95"}]
[null,{"$f":"B195&CHAR(10)&B196&CHAR(10)&B197","v":"Ybar Equation Yields Same Prediction at Every X Value.\nLots of Error with this Model.\nYbar = $370,058.95"}]
[null,"Yhat Equation Yields Predictions that are MUCH Closer to Sample Points."]
[null,"Much Less Error with this Model."]
[null,{"$f":"\"Yhat = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*x + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"#,##0\")","v":"Yhat = $8.24*x + 36,857"}]
[null,{"$f":"B199&CHAR(10)&B200&CHAR(10)&B201","v":"Yhat Equation Yields Predictions that are MUCH Closer to Sample Points.\nMuch Less Error with this Model.\nYhat = $8.24*x + 36,857"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals","Ybar Deviations","Ybar Positive Error","Ybar Negative Error"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""},{"$f":"$C214-AVERAGE($C$2:$C$191)","v":281275.40936842083},{"$f":"IF(H214<0,-H214,\"\")","v":""},{"$f":"IF(H214>0,H214,\"\")","v":281275.40936842083}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[]
["Plot Est. Line",null,null,"Plot Ybar",null,null,null,"If we use just Ybar for making predictions, we would not have a very good Model.\nThe Error would be quite big."]
["x","Predicted Line",null,"x","Ybar"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893},null,{"$f":"A227","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569},null,64717,370058.95063157915]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"Predicted & Residuals","index":18,"n_rows":232,"n_cols":7,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871]
[14,50562,413540.78,453566.22712984355,-40025.447129843524]
[15,38240,340241.6,352013.86261543352,-11772.262615433545]
[16,59870,582843,530278.56351193483,52564.43648806517]
[17,46056,433185.92,416429.80816360988,16756.111836390104]
[18,33349,270770.38,311704.44735492556,-40934.067354925559]
[19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
[20,57077,478077.5,507259.91766801768,-29182.417668017675]
[21,30893,393839.09,291463.20346210047,102375.88653789955]
[22,54153,430154.06,483161.6289291656,-53007.568929165602]
[23,14591,210792.82,157109.47465882893,53683.34534117108]
[24,50138,343808.68,450071.81043173367,-106263.13043173368]
[25,55253,565510.49,492227.3326270922,73283.157372907794]
[26,34944,330250.88,324849.71771691908,5401.162283080921]
[27,26413,295905.03000000003,254541.0647650905,41363.965234909527]
[28,54660,562164.19999999995,487340.09417902812,74824.105820971832]
[29,35887,257067.99,332621.49825068703,-75553.508250687039]
[30,42021,384066.95,383175.15868985199,891.7913101480226]
[31,47349,441576.23,427086.13078308169,14490.099216918286]
[32,24364,252221.2,237654.13124049822,14567.068759501795]
[33,58406,552875.65999999992,518212.93604487617,34662.723955123744]
[34,51643,446101.81,462475.34140026045,-16373.531400260457]
[35,55115,476038.95,491089.99889044318,-15051.04889044317]
[36,35416,393889.36,328739.72875821119,65149.631241788797]
[37,37274,328436.78000000003,344052.52645889076,-15615.746458890731]
[38,36148,408949.64,334772.54249174049,74177.097508259525]
[39,32192,394776.32000000001,302168.97537447012,92607.344625529891]
[40,51238,455804.96,459137.51412966027,-3332.554129660246]
[41,59235,526249.4,525045.1800135863,1204.2199864137219]
[42,59329,562602.56000000006,525819.88560231822,36782.67439768184]
[43,22739,180749.25,224261.61441401578,-43512.364414015785]
[44,28654,275506.98,273010.3756624118,2496.6043375881854]
[45,36786,372981.08,340030.65063653793,32950.429363462084]
[46,20813,216087.74,208388.39139382803,7699.3486061719595]
[47,57259,470281.06,508759.87955258368,-38478.819552583678]
[48,57707,481071.29,512452.0934222847,-31380.80342228472]
[49,61539,612466.46,544033.7084863343,68432.751513665658]
[50,36635,370922.6,338786.17676527705,32136.423234722926]
[51,39086,448677.2,358986.2129140207,89690.987085979315]
[52,33062,259282.46,309339.12284464837,-50056.662844648381]
[53,42144,354279.67999999999,384188.86919425655,-29909.189194256556]
[54,18828,185749.88,192028.91699347875,-6279.036993478745]
[55,57070,415818.7,507202.22682630358,-91383.526826303569]
[56,27991,252095.02,267546.22879720695,-15451.208797206957]
[57,37876,329524.88,349013.93884630146,-19489.058846301457]
[58,16134,233120.9,169826.18448237499,63294.715517625009]
[59,55466,376140.08,493982.78252496338,-117842.70252496336]
[60,26100,208166,251961.45998558958,-43795.459985589579]
[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
[62,30895,249581.7,291479.68655973306,-41897.98655973305]
[63,31845,278010.2,299309.1579352151,-21298.95793521509]
[64,50618,537451.34000000008,454027.75386355619,83423.58613644389]
[65,62293,448052.27,550247.83629382215,-102195.56629382214]
[66,61228,519618.76,{"$f":"FORECAST(B67,$C$2:$C$191,$B$2:$B$191)","v":541470.58680446597},{"$f":"C67-D67","v":-21851.826804465964}]
[67,32558,364510.28,305185.38224123477,59324.897758765263]
[68,40694,351135.6,372238.62341062608,-21103.023410626105]
[69,46333,390547.55,418712.71718572412,-28165.167185724131]
[70,28415,234129.2,271040.64549531683,-36911.445495316817]
[71,19993,224538.89,201630.32136446459,22908.568635535426]
[72,34414,248912.92,320481.69684428175,-71568.776844281732]
[73,52078,328096.52,466060.41513534961,-137963.89513534959]
[74,24507,262965.82999999996,238832.67272122865,24133.157278771308]
[75,28516,334304.52,271873.04192576278,62431.478074237239]
[76,17554,216060.84,181529.18380151654,34531.656198483455]
[77,16662,183462.62,174177.72225737973,9284.8977426202619]
[78,57162,517013.54,507960.4493174029,9053.0906825970742]
[79,57297,731834.3,509073.05840760295,222761.2415923971]
[80,64112,439159.84,565239.21359066607,-126079.37359066604]
[81,37237,453649.08,343747.58915268781,109901.49084731221]
[82,55058,495969.8,490620.23060791427,5349.5693920857157]
[83,30791,306489.03000000003,290622.5654828382,15866.464517161832]
[84,19784,226868.96,199907.83766185856,26961.122338141431]
[85,32463,316845.86,304402.43510368653,12443.42489631346]
[86,59364,496417.28000000003,526108.33981088852,-29691.059810888488]
[87,64632,527881.68000000005,569524.81897514046,-41643.138975140406]
[88,58106,535766.15999999992,515740.47139998712,20025.6886000128]
[89,60333,469314.35,534094.40061388025,-64780.050613880274]
[90,58353,558254.63,517776.13395761244,40478.49604238756]
[91,22672,197141.28,223709.4306433239,-26568.150643323897]
[92,64325,563313.5,566994.66348853731,-3681.163488537306]
[93,32326,365825.02,303273.34291585389,62551.677084146126]
[94,16138,206538.6,169859.15067764017,36679.44932235984]
[95,34957,320916.75,324956.85785153095,-4040.1078515309491]
[96,26159,294325.06,252447.71136575108,41877.34863424892]
[97,42098,329951.7,383809.75794870686,-53858.057948706846]
[98,20582,161277.70000000001,206484.59361726345,-45206.893617263442]
[99,45614,428140.06,412787.04358680669,15353.016413193312]
[100,42729,433279.13,389010.17525179021,44268.954748209799]
[101,40053,346792.73,366955.79061937978,-20163.060619379801]
[102,51749,540063.03,463348.94557478797,76714.084425212059]
[103,59753,588972.06000000006,529314.30230042804,59657.757699572016]
[104,34045,290698.15000000002,317440.56533106818,-26742.415331068158]
[105,56384,544487.67999999993,501548.52433832391,42939.155661676021]
[106,33242,206569.82,310822.60163158178,-104252.78163158178]
[107,49060,550902.6,441187.42080776568,109715.1791922343]
[108,38219,321737.09000000003,351840.7900902913,-30103.70009029127]
[109,56891,568845.91999999993,505726.98958818644,63118.93041181349]
[110,52906,426690.72,472884.41755524342,-46193.697555243445]
[111,44835,430649.15,406366.87705891137,24282.272941088653]
[112,45028,400768.12,407957.4959804567,-7189.3759804567089]
[113,15988,175665.68,168622.91835519564,7042.7616448043555]
[114,64717,558028.44999999995,570225.35062452569,-12196.900624525733]
[115,15196,163514.12,162095.61169268852,1418.5083073114802]
[116,45093,398568.89,408493.19665351597,-9924.3066535159596]
[117,51099,483830.51,457991.93884419498,25838.571155805024]
[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
[130,62145,642241.85,{"$f":"FORECAST(B131,$C$2:$C$191,$B$2:$B$191)","v":549028.08706901013},{"$f":"C131-D131","v":93213.762930989848}]
[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003},-72455.883106897003,""]
[3,50941,523751.3,456689.77413122007,67061.525868779921,-67061.525868779921,""]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,"",-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425,-68910.818266289425,""]
[6,58543,520100.29,519342.02823270886,758.26176729111467,-758.26176729111467,""]
[7,60492,620856.28,535404.80687567149,85451.473124328535,-85451.473124328535,""]
[8,59686,593739.46,528762.11852973618,64977.341470263782,-64977.341470263782,""]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353,"",-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506,"",-47384.803193616506]
[]
["Plot Est. Line"]
["x","Predicted Line"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569}]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"AllOnLine","index":19,"n_rows":11,"n_cols":10,"rows_kept":11,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","All",null,null,null,null,null,"If All Sample Points Were On Simple Linear Regression Line, There Would Be No Error"]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$11,$B$2:$B$11)","v":623683.41152759909},null,null,null,null,null,"If All Sample Points Were On Simple Linear Regression Line, There would be a Perfect Fit of the Line to the Data Points!"]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$11,$B$2:$B$11)","v":491620.58479258098}]
[3,50941,523751.3,493466.82393547136]
[4,17597,175466.61,149550.63410007281]
[5,33029,377977.97,308719.13942456507]
[6,58543,520100.29,571875.25948995491]
[7,60492,620856.28,591977.60635863268]
[8,59686,593739.46,583664.37312304811]
[189,32779,211928.26,306140.59313561203]
[190,49959,401211.77,483338.29411246389]

{"sheet":"Errors","index":20,"n_rows":232,"n_cols":7,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871]
[14,50562,413540.78,453566.22712984355,-40025.447129843524]
[15,38240,340241.6,352013.86261543352,-11772.262615433545]
[16,59870,582843,530278.56351193483,52564.43648806517]
[17,46056,433185.92,416429.80816360988,16756.111836390104]
[18,33349,270770.38,311704.44735492556,-40934.067354925559]
[19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
[20,57077,478077.5,507259.91766801768,-29182.417668017675]
[21,30893,393839.09,291463.20346210047,102375.88653789955]
[22,54153,430154.06,483161.6289291656,-53007.568929165602]
[23,14591,210792.82,157109.47465882893,53683.34534117108]
[24,50138,343808.68,450071.81043173367,-106263.13043173368]
[25,55253,565510.49,492227.3326270922,73283.157372907794]
[26,34944,330250.88,324849.71771691908,5401.162283080921]
[27,26413,295905.03000000003,254541.0647650905,41363.965234909527]
[28,54660,562164.19999999995,487340.09417902812,74824.105820971832]
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[36,35416,393889.36,328739.72875821119,65149.631241788797]
[37,37274,328436.78000000003,344052.52645889076,-15615.746458890731]
[38,36148,408949.64,334772.54249174049,74177.097508259525]
[39,32192,394776.32000000001,302168.97537447012,92607.344625529891]
[40,51238,455804.96,459137.51412966027,-3332.554129660246]
[41,59235,526249.4,525045.1800135863,1204.2199864137219]
[42,59329,562602.56000000006,525819.88560231822,36782.67439768184]
[43,22739,180749.25,224261.61441401578,-43512.364414015785]
[44,28654,275506.98,273010.3756624118,2496.6043375881854]
[45,36786,372981.08,340030.65063653793,32950.429363462084]
[46,20813,216087.74,208388.39139382803,7699.3486061719595]
[47,57259,470281.06,508759.87955258368,-38478.819552583678]
[48,57707,481071.29,512452.0934222847,-31380.80342228472]
[49,61539,612466.46,544033.7084863343,68432.751513665658]
[50,36635,370922.6,338786.17676527705,32136.423234722926]
[51,39086,448677.2,358986.2129140207,89690.987085979315]
[52,33062,259282.46,309339.12284464837,-50056.662844648381]
[53,42144,354279.67999999999,384188.86919425655,-29909.189194256556]
[54,18828,185749.88,192028.91699347875,-6279.036993478745]
[55,57070,415818.7,507202.22682630358,-91383.526826303569]
[56,27991,252095.02,267546.22879720695,-15451.208797206957]
[57,37876,329524.88,349013.93884630146,-19489.058846301457]
[58,16134,233120.9,169826.18448237499,63294.715517625009]
[59,55466,376140.08,493982.78252496338,-117842.70252496336]
[60,26100,208166,251961.45998558958,-43795.459985589579]
[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
[62,30895,249581.7,291479.68655973306,-41897.98655973305]
[63,31845,278010.2,299309.1579352151,-21298.95793521509]
[64,50618,537451.34000000008,454027.75386355619,83423.58613644389]
[65,62293,448052.27,550247.83629382215,-102195.56629382214]
[66,61228,519618.76,{"$f":"FORECAST(B67,$C$2:$C$191,$B$2:$B$191)","v":541470.58680446597},{"$f":"C67-D67","v":-21851.826804465964}]
[67,32558,364510.28,305185.38224123477,59324.897758765263]
[68,40694,351135.6,372238.62341062608,-21103.023410626105]
[69,46333,390547.55,418712.71718572412,-28165.167185724131]
[70,28415,234129.2,271040.64549531683,-36911.445495316817]
[71,19993,224538.89,201630.32136446459,22908.568635535426]
[72,34414,248912.92,320481.69684428175,-71568.776844281732]
[73,52078,328096.52,466060.41513534961,-137963.89513534959]
[74,24507,262965.82999999996,238832.67272122865,24133.157278771308]
[75,28516,334304.52,271873.04192576278,62431.478074237239]
[76,17554,216060.84,181529.18380151654,34531.656198483455]
[77,16662,183462.62,174177.72225737973,9284.8977426202619]
[78,57162,517013.54,507960.4493174029,9053.0906825970742]
[79,57297,731834.3,509073.05840760295,222761.2415923971]
[80,64112,439159.84,565239.21359066607,-126079.37359066604]
[81,37237,453649.08,343747.58915268781,109901.49084731221]
[82,55058,495969.8,490620.23060791427,5349.5693920857157]
[83,30791,306489.03000000003,290622.5654828382,15866.464517161832]
[84,19784,226868.96,199907.83766185856,26961.122338141431]
[85,32463,316845.86,304402.43510368653,12443.42489631346]
[86,59364,496417.28000000003,526108.33981088852,-29691.059810888488]
[87,64632,527881.68000000005,569524.81897514046,-41643.138975140406]
[88,58106,535766.15999999992,515740.47139998712,20025.6886000128]
[89,60333,469314.35,534094.40061388025,-64780.050613880274]
[90,58353,558254.63,517776.13395761244,40478.49604238756]
[91,22672,197141.28,223709.4306433239,-26568.150643323897]
[92,64325,563313.5,566994.66348853731,-3681.163488537306]
[93,32326,365825.02,303273.34291585389,62551.677084146126]
[94,16138,206538.6,169859.15067764017,36679.44932235984]
[95,34957,320916.75,324956.85785153095,-4040.1078515309491]
[96,26159,294325.06,252447.71136575108,41877.34863424892]
[97,42098,329951.7,383809.75794870686,-53858.057948706846]
[98,20582,161277.70000000001,206484.59361726345,-45206.893617263442]
[99,45614,428140.06,412787.04358680669,15353.016413193312]
[100,42729,433279.13,389010.17525179021,44268.954748209799]
[101,40053,346792.73,366955.79061937978,-20163.060619379801]
[102,51749,540063.03,463348.94557478797,76714.084425212059]
[103,59753,588972.06000000006,529314.30230042804,59657.757699572016]
[104,34045,290698.15000000002,317440.56533106818,-26742.415331068158]
[105,56384,544487.67999999993,501548.52433832391,42939.155661676021]
[106,33242,206569.82,310822.60163158178,-104252.78163158178]
[107,49060,550902.6,441187.42080776568,109715.1791922343]
[108,38219,321737.09000000003,351840.7900902913,-30103.70009029127]
[109,56891,568845.91999999993,505726.98958818644,63118.93041181349]
[110,52906,426690.72,472884.41755524342,-46193.697555243445]
[111,44835,430649.15,406366.87705891137,24282.272941088653]
[112,45028,400768.12,407957.4959804567,-7189.3759804567089]
[113,15988,175665.68,168622.91835519564,7042.7616448043555]
[114,64717,558028.44999999995,570225.35062452569,-12196.900624525733]
[115,15196,163514.12,162095.61169268852,1418.5083073114802]
[116,45093,398568.89,408493.19665351597,-9924.3066535159596]
[117,51099,483830.51,457991.93884419498,25838.571155805024]
[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
[130,62145,642241.85,{"$f":"FORECAST(B131,$C$2:$C$191,$B$2:$B$191)","v":549028.08706901013},{"$f":"C131-D131","v":93213.762930989848}]
[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003},-72455.883106897003,""]
[3,50941,523751.3,456689.77413122007,67061.525868779921,-67061.525868779921,""]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,"",-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425,-68910.818266289425,""]
[6,58543,520100.29,519342.02823270886,758.26176729111467,-758.26176729111467,""]
[7,60492,620856.28,535404.80687567149,85451.473124328535,-85451.473124328535,""]
[8,59686,593739.46,528762.11852973618,64977.341470263782,-64977.341470263782,""]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353,"",-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506,"",-47384.803193616506]
[]
["Plot Est. Line"]
["x","Predicted Line"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569}]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"Ybar","index":21,"n_rows":232,"n_cols":10,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
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[8,59686,593739.46,528762.11852973618,64977.341470263782]
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[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
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[63,31845,278010.2,299309.1579352151,-21298.95793521509]
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[65,62293,448052.27,550247.83629382215,-102195.56629382214]
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[67,32558,364510.28,305185.38224123477,59324.897758765263]
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[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
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[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals","Ybar Deviations","Ybar Positive Error","Ybar Negative Error"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""},{"$f":"$C214-AVERAGE($C$2:$C$191)","v":281275.40936842083},{"$f":"IF(H214<0,-H214,\"\")","v":""},{"$f":"IF(H214>0,H214,\"\")","v":281275.40936842083}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003},-72455.883106897003,"",{"$f":"$C215-AVERAGE($C$2:$C$191)","v":157611.46936842077},{"$f":"IF(H215<0,-H215,\"\")","v":""},{"$f":"IF(H215>0,H215,\"\")","v":157611.46936842077}]
[3,50941,523751.3,456689.77413122007,67061.525868779921,-67061.525868779921,"",153692.34936842084,"",153692.34936842084]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,"",-6416.9604006173031,-194592.34063157917,194592.34063157917,""]
[5,33029,377977.97,309067.15173371055,68910.818266289425,-68910.818266289425,"",7919.0193684208207,"",7919.0193684208207]
[6,58543,520100.29,519342.02823270886,758.26176729111467,-758.26176729111467,"",150041.33936842083,"",150041.33936842083]
[7,60492,620856.28,535404.80687567149,85451.473124328535,-85451.473124328535,"",250797.32936842088,"",250797.32936842088]
[8,59686,593739.46,528762.11852973618,64977.341470263782,-64977.341470263782,"",223680.50936842081,"",223680.50936842081]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353,"",-95078.504529636353,-158130.69063157914,158130.69063157914,""]
[190,49959,401211.77,448596.57319361652,-47384.803193616506,"",-47384.803193616506,31152.819368420867,"",31152.819368420867]
[]
["Plot Est. Line",null,null,"Plot Ybar",null,null,null,"If we use just Ybar for making predictions, we would not have a very good Model.\nThe Error would be quite big."]
["x","Predicted Line",null,"x","Ybar"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893},null,{"$f":"A227","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569},null,64717,370058.95063157915]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"2 Parts","index":22,"n_rows":232,"n_cols":13,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467,null,null,null,null,null,null,null,"Total Error = (Yi - Ybar) = Full Distance = \"Total\""]
[7,60492,620856.28,535404.80687567149,85451.473124328535,null,null,null,null,null,null,null,"Amount of Total Error (Yi - Ybar) that Equation Explains = \"Explained\" or \"Regression\""]
[8,59686,593739.46,528762.11852973618,64977.341470263782,null,null,null,null,null,null,null,"Amount of Total Error (Yi - Ybar) that Equation Does NOT Explain = \"Unexplained\" or \"Error\""]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871]
[14,50562,413540.78,453566.22712984355,-40025.447129843524]
[15,38240,340241.6,352013.86261543352,-11772.262615433545]
[16,59870,582843,530278.56351193483,52564.43648806517]
[17,46056,433185.92,416429.80816360988,16756.111836390104]
[18,33349,270770.38,311704.44735492556,-40934.067354925559]
[19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
[20,57077,478077.5,507259.91766801768,-29182.417668017675]
[21,30893,393839.09,291463.20346210047,102375.88653789955]
[22,54153,430154.06,483161.6289291656,-53007.568929165602]
[23,14591,210792.82,157109.47465882893,53683.34534117108]
[24,50138,343808.68,450071.81043173367,-106263.13043173368]
[25,55253,565510.49,492227.3326270922,73283.157372907794]
[26,34944,330250.88,324849.71771691908,5401.162283080921]
[27,26413,295905.03000000003,254541.0647650905,41363.965234909527]
[28,54660,562164.19999999995,487340.09417902812,74824.105820971832]
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[37,37274,328436.78000000003,344052.52645889076,-15615.746458890731]
[38,36148,408949.64,334772.54249174049,74177.097508259525]
[39,32192,394776.32000000001,302168.97537447012,92607.344625529891]
[40,51238,455804.96,459137.51412966027,-3332.554129660246]
[41,59235,526249.4,525045.1800135863,1204.2199864137219]
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[51,39086,448677.2,358986.2129140207,89690.987085979315]
[52,33062,259282.46,309339.12284464837,-50056.662844648381]
[53,42144,354279.67999999999,384188.86919425655,-29909.189194256556]
[54,18828,185749.88,192028.91699347875,-6279.036993478745]
[55,57070,415818.7,507202.22682630358,-91383.526826303569]
[56,27991,252095.02,267546.22879720695,-15451.208797206957]
[57,37876,329524.88,349013.93884630146,-19489.058846301457]
[58,16134,233120.9,169826.18448237499,63294.715517625009]
[59,55466,376140.08,493982.78252496338,-117842.70252496336]
[60,26100,208166,251961.45998558958,-43795.459985589579]
[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
[62,30895,249581.7,291479.68655973306,-41897.98655973305]
[63,31845,278010.2,299309.1579352151,-21298.95793521509]
[64,50618,537451.34000000008,454027.75386355619,83423.58613644389]
[65,62293,448052.27,550247.83629382215,-102195.56629382214]
[66,61228,519618.76,{"$f":"FORECAST(B67,$C$2:$C$191,$B$2:$B$191)","v":541470.58680446597},{"$f":"C67-D67","v":-21851.826804465964}]
[67,32558,364510.28,305185.38224123477,59324.897758765263]
[68,40694,351135.6,372238.62341062608,-21103.023410626105]
[69,46333,390547.55,418712.71718572412,-28165.167185724131]
[70,28415,234129.2,271040.64549531683,-36911.445495316817]
[71,19993,224538.89,201630.32136446459,22908.568635535426]
[72,34414,248912.92,320481.69684428175,-71568.776844281732]
[73,52078,328096.52,466060.41513534961,-137963.89513534959]
[74,24507,262965.82999999996,238832.67272122865,24133.157278771308]
[75,28516,334304.52,271873.04192576278,62431.478074237239]
[76,17554,216060.84,181529.18380151654,34531.656198483455]
[77,16662,183462.62,174177.72225737973,9284.8977426202619]
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[79,57297,731834.3,509073.05840760295,222761.2415923971]
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[83,30791,306489.03000000003,290622.5654828382,15866.464517161832]
[84,19784,226868.96,199907.83766185856,26961.122338141431]
[85,32463,316845.86,304402.43510368653,12443.42489631346]
[86,59364,496417.28000000003,526108.33981088852,-29691.059810888488]
[87,64632,527881.68000000005,569524.81897514046,-41643.138975140406]
[88,58106,535766.15999999992,515740.47139998712,20025.6886000128]
[89,60333,469314.35,534094.40061388025,-64780.050613880274]
[90,58353,558254.63,517776.13395761244,40478.49604238756]
[91,22672,197141.28,223709.4306433239,-26568.150643323897]
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[93,32326,365825.02,303273.34291585389,62551.677084146126]
[94,16138,206538.6,169859.15067764017,36679.44932235984]
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[105,56384,544487.67999999993,501548.52433832391,42939.155661676021]
[106,33242,206569.82,310822.60163158178,-104252.78163158178]
[107,49060,550902.6,441187.42080776568,109715.1791922343]
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[109,56891,568845.91999999993,505726.98958818644,63118.93041181349]
[110,52906,426690.72,472884.41755524342,-46193.697555243445]
[111,44835,430649.15,406366.87705891137,24282.272941088653]
[112,45028,400768.12,407957.4959804567,-7189.3759804567089]
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[117,51099,483830.51,457991.93884419498,25838.571155805024]
[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
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[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals","Ybar Deviations","Ybar Positive Error","Ybar Negative Error"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""},{"$f":"$C214-AVERAGE($C$2:$C$191)","v":281275.40936842083},{"$f":"IF(H214<0,-H214,\"\")","v":""},{"$f":"IF(H214>0,H214,\"\")","v":281275.40936842083}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[]
["Plot Est. Line",null,null,"Plot Ybar",null,null,null,"If we use just Ybar for making predictions, we would not have a very good Model.\nThe Error would be quite big."]
["x","Predicted Line",null,"x","Ybar"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893},null,{"$f":"A227","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569},null,64717,370058.95063157915]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"3 Parts","index":23,"n_rows":232,"n_cols":13,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467,null,null,null,null,null,null,null,"Total Error = (Yi - Ybar)"]
[7,60492,620856.28,535404.80687567149,85451.473124328535,null,null,null,null,null,null,null,"\"Explained\" or \"Regression\"\n= (Yhat - Ybar)"]
[8,59686,593739.46,528762.11852973618,64977.341470263782,null,null,null,null,null,null,null,"\"Residual\" or \"Unexplained\" or \"Error\"\n=(Yi - Yhat)"]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871]
[14,50562,413540.78,453566.22712984355,-40025.447129843524]
[15,38240,340241.6,352013.86261543352,-11772.262615433545]
[16,59870,582843,530278.56351193483,52564.43648806517]
[17,46056,433185.92,416429.80816360988,16756.111836390104]
[18,33349,270770.38,311704.44735492556,-40934.067354925559]
[19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
[20,57077,478077.5,507259.91766801768,-29182.417668017675]
[21,30893,393839.09,291463.20346210047,102375.88653789955]
[22,54153,430154.06,483161.6289291656,-53007.568929165602]
[23,14591,210792.82,157109.47465882893,53683.34534117108]
[24,50138,343808.68,450071.81043173367,-106263.13043173368]
[25,55253,565510.49,492227.3326270922,73283.157372907794]
[26,34944,330250.88,324849.71771691908,5401.162283080921]
[27,26413,295905.03000000003,254541.0647650905,41363.965234909527]
[28,54660,562164.19999999995,487340.09417902812,74824.105820971832]
[29,35887,257067.99,332621.49825068703,-75553.508250687039]
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[38,36148,408949.64,334772.54249174049,74177.097508259525]
[39,32192,394776.32000000001,302168.97537447012,92607.344625529891]
[40,51238,455804.96,459137.51412966027,-3332.554129660246]
[41,59235,526249.4,525045.1800135863,1204.2199864137219]
[42,59329,562602.56000000006,525819.88560231822,36782.67439768184]
[43,22739,180749.25,224261.61441401578,-43512.364414015785]
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[49,61539,612466.46,544033.7084863343,68432.751513665658]
[50,36635,370922.6,338786.17676527705,32136.423234722926]
[51,39086,448677.2,358986.2129140207,89690.987085979315]
[52,33062,259282.46,309339.12284464837,-50056.662844648381]
[53,42144,354279.67999999999,384188.86919425655,-29909.189194256556]
[54,18828,185749.88,192028.91699347875,-6279.036993478745]
[55,57070,415818.7,507202.22682630358,-91383.526826303569]
[56,27991,252095.02,267546.22879720695,-15451.208797206957]
[57,37876,329524.88,349013.93884630146,-19489.058846301457]
[58,16134,233120.9,169826.18448237499,63294.715517625009]
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[60,26100,208166,251961.45998558958,-43795.459985589579]
[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
[62,30895,249581.7,291479.68655973306,-41897.98655973305]
[63,31845,278010.2,299309.1579352151,-21298.95793521509]
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[65,62293,448052.27,550247.83629382215,-102195.56629382214]
[66,61228,519618.76,{"$f":"FORECAST(B67,$C$2:$C$191,$B$2:$B$191)","v":541470.58680446597},{"$f":"C67-D67","v":-21851.826804465964}]
[67,32558,364510.28,305185.38224123477,59324.897758765263]
[68,40694,351135.6,372238.62341062608,-21103.023410626105]
[69,46333,390547.55,418712.71718572412,-28165.167185724131]
[70,28415,234129.2,271040.64549531683,-36911.445495316817]
[71,19993,224538.89,201630.32136446459,22908.568635535426]
[72,34414,248912.92,320481.69684428175,-71568.776844281732]
[73,52078,328096.52,466060.41513534961,-137963.89513534959]
[74,24507,262965.82999999996,238832.67272122865,24133.157278771308]
[75,28516,334304.52,271873.04192576278,62431.478074237239]
[76,17554,216060.84,181529.18380151654,34531.656198483455]
[77,16662,183462.62,174177.72225737973,9284.8977426202619]
[78,57162,517013.54,507960.4493174029,9053.0906825970742]
[79,57297,731834.3,509073.05840760295,222761.2415923971]
[80,64112,439159.84,565239.21359066607,-126079.37359066604]
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[84,19784,226868.96,199907.83766185856,26961.122338141431]
[85,32463,316845.86,304402.43510368653,12443.42489631346]
[86,59364,496417.28000000003,526108.33981088852,-29691.059810888488]
[87,64632,527881.68000000005,569524.81897514046,-41643.138975140406]
[88,58106,535766.15999999992,515740.47139998712,20025.6886000128]
[89,60333,469314.35,534094.40061388025,-64780.050613880274]
[90,58353,558254.63,517776.13395761244,40478.49604238756]
[91,22672,197141.28,223709.4306433239,-26568.150643323897]
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[93,32326,365825.02,303273.34291585389,62551.677084146126]
[94,16138,206538.6,169859.15067764017,36679.44932235984]
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[96,26159,294325.06,252447.71136575108,41877.34863424892]
[97,42098,329951.7,383809.75794870686,-53858.057948706846]
[98,20582,161277.70000000001,206484.59361726345,-45206.893617263442]
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[107,49060,550902.6,441187.42080776568,109715.1791922343]
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[109,56891,568845.91999999993,505726.98958818644,63118.93041181349]
[110,52906,426690.72,472884.41755524342,-46193.697555243445]
[111,44835,430649.15,406366.87705891137,24282.272941088653]
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[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
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[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
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[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals","Ybar Deviations","Ybar Positive Error","Ybar Negative Error"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""},{"$f":"$C214-AVERAGE($C$2:$C$191)","v":281275.40936842083},{"$f":"IF(H214<0,-H214,\"\")","v":""},{"$f":"IF(H214>0,H214,\"\")","v":281275.40936842083}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[]
["Plot Est. Line",null,null,"Plot Ybar",null,null,null,"If we use just Ybar for making predictions, we would not have a very good Model.\nThe Error would be quite big."]
["x","Predicted Line",null,"x","Ybar"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893},null,{"$f":"A227","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569},null,64717,370058.95063157915]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"Zero","index":24,"n_rows":211,"n_cols":8,"rows_kept":211,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"Total","Regression","Residual or Error"]
[null,null,null,null,null,"Total","Explained","Unexplained"]
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi ","(Yi - Ybar)","(Yhat - Ybar)","(Yi - Yhat) = ei"]
[1,63566,651334.36,{"$f":"$B$202*B4+$B$203","v":560739.32793696807},{"$f":"C4-D4","v":90595.032063031918},{"$f":"(C4-$B$200)","v":281275.40936842083},{"$f":"(D4-$B$200)","v":190680.37730538892},{"$f":"E4","v":90595.032063031918}]
[2,50762,527670.41999999993,455214.53689310292,72455.883106897003,{"$f":"(C5-$B$200)","v":157611.46936842077},{"$f":"(D5-$B$200)","v":85155.586261523771},{"$f":"E5","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921,153692.34936842084,86630.823499640916,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,-194592.34063157917,-188175.38023096186,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425,7919.0193684208207,-60991.798897868604,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467,150041.33936842083,149283.07760112971,758.26176729111467]
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[8,59686,593739.46,528762.11852973618,64977.341470263782,223680.50936842081,158703.16789815703,64977.341470263782]
[9,16432,181948.96,172282.16602963145,9666.7939703685406,-188109.99063157916,-197776.7846019477,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599,-185415.35063157915,-190936.29908442131,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578,9314.6093684208463,-10809.008155436954,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713,-131371.01063157915,-35863.316556979436,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871,40007.199368420872,13874.430549372162,26132.76881904871]
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[66,61228,519618.76,541470.58680446597,-21851.826804465964,{"$f":"(C69-$B$200)","v":149559.80936842086},{"$f":"(D69-$B$200)","v":171411.63617288682},{"$f":"E69","v":-21851.826804465964}]
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[null,"Total",{"$f":"SUM(C4:C193)","v":70311200.620000035},{"$f":"SUM(D4:D193)","v":70311200.620000049},{"$f":"SUM(E4:E193)","v":-3.3527612686157227E-8},{"$f":"SUM(F4:F193)","v":-3.8911821320652962E-8},-4.0454324334859848E-9,-3.3527612686157227E-8]
[]
[]
[]
["Count = n =",{"$f":"COUNT(A4:A193)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B198),_xlfn.FORMULATEXT(B198),\"\")","v":" =COUNT(A4:A193)"}]
["n-1",{"$f":"B198-1","v":189}," =B198-1"]
["Xbar",{"$f":"AVERAGE(C4:C193)","v":370058.95063157915}," =AVERAGE(C4:C193)"]
["Ybar",{"$f":"AVERAGE(B4:B193)","v":40429.526315789473}," =AVERAGE(B4:B193)"]
["Slope = b1 =",{"$f":"SLOPE(C4:C193,B4:B193)","v":8.2415488162968682}," =SLOPE(C4:C193,B4:B193)"]
["y-intercept = b0 =",{"$f":"INTERCEPT(C4:C193,B4:B193)","v":36857.03588024131}," =INTERCEPT(C4:C193,B4:B193)"]
["SST",{"$f":"G194+H194","v":-3.7573045119643211E-8}," =G194+H194",null,"How well observations cluster around Ybar Line"]
["SSR",{"$f":"G194","v":-4.0454324334859848E-9}," =G194",null,"Part of SST that Estimated Regression Equation/Line Explains."]
["SSE",{"$f":"SUMSQ(E4:E193)","v":516674372690.31818}," =SUMSQ(E4:E193)",null,"How well observations cluster around Yhat Line"]
["r^2 = SSR/SST",{"$f":"B205/B204","v":0.10766847405112316}," =B205/B204"]
["r^2 =",{"$f":"RSQ(C4:C193,B4:B193)","v":0.84196598901825104}," =RSQ(C4:C193,B4:B193)"]
["r^2 = 1  - SSE/SST",{"$f":"1-B206/B204","v":1.3751197728187341E+19}," =1-B206/B204"]
["r = (Sign of b1)*SQRT(r^2)",{"$f":"SIGN(B202)*SQRT(B207)","v":0.32812874615175547}," =SIGN(B202)*SQRT(B207)"]
["r =",{"$f":"PEARSON(C4:C193,B4:B193)","v":0.91758704710684036}," =PEARSON(C4:C193,B4:B193)"]

{"sheet":"Chart","index":25,"n_rows":232,"n_cols":10,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871]
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[15,38240,340241.6,352013.86261543352,-11772.262615433545]
[16,59870,582843,530278.56351193483,52564.43648806517]
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[18,33349,270770.38,311704.44735492556,-40934.067354925559]
[19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
[20,57077,478077.5,507259.91766801768,-29182.417668017675]
[21,30893,393839.09,291463.20346210047,102375.88653789955]
[22,54153,430154.06,483161.6289291656,-53007.568929165602]
[23,14591,210792.82,157109.47465882893,53683.34534117108]
[24,50138,343808.68,450071.81043173367,-106263.13043173368]
[25,55253,565510.49,492227.3326270922,73283.157372907794]
[26,34944,330250.88,324849.71771691908,5401.162283080921]
[27,26413,295905.03000000003,254541.0647650905,41363.965234909527]
[28,54660,562164.19999999995,487340.09417902812,74824.105820971832]
[29,35887,257067.99,332621.49825068703,-75553.508250687039]
[30,42021,384066.95,383175.15868985199,891.7913101480226]
[31,47349,441576.23,427086.13078308169,14490.099216918286]
[32,24364,252221.2,237654.13124049822,14567.068759501795]
[33,58406,552875.65999999992,518212.93604487617,34662.723955123744]
[34,51643,446101.81,462475.34140026045,-16373.531400260457]
[35,55115,476038.95,491089.99889044318,-15051.04889044317]
[36,35416,393889.36,328739.72875821119,65149.631241788797]
[37,37274,328436.78000000003,344052.52645889076,-15615.746458890731]
[38,36148,408949.64,334772.54249174049,74177.097508259525]
[39,32192,394776.32000000001,302168.97537447012,92607.344625529891]
[40,51238,455804.96,459137.51412966027,-3332.554129660246]
[41,59235,526249.4,525045.1800135863,1204.2199864137219]
[42,59329,562602.56000000006,525819.88560231822,36782.67439768184]
[43,22739,180749.25,224261.61441401578,-43512.364414015785]
[44,28654,275506.98,273010.3756624118,2496.6043375881854]
[45,36786,372981.08,340030.65063653793,32950.429363462084]
[46,20813,216087.74,208388.39139382803,7699.3486061719595]
[47,57259,470281.06,508759.87955258368,-38478.819552583678]
[48,57707,481071.29,512452.0934222847,-31380.80342228472]
[49,61539,612466.46,544033.7084863343,68432.751513665658]
[50,36635,370922.6,338786.17676527705,32136.423234722926]
[51,39086,448677.2,358986.2129140207,89690.987085979315]
[52,33062,259282.46,309339.12284464837,-50056.662844648381]
[53,42144,354279.67999999999,384188.86919425655,-29909.189194256556]
[54,18828,185749.88,192028.91699347875,-6279.036993478745]
[55,57070,415818.7,507202.22682630358,-91383.526826303569]
[56,27991,252095.02,267546.22879720695,-15451.208797206957]
[57,37876,329524.88,349013.93884630146,-19489.058846301457]
[58,16134,233120.9,169826.18448237499,63294.715517625009]
[59,55466,376140.08,493982.78252496338,-117842.70252496336]
[60,26100,208166,251961.45998558958,-43795.459985589579]
[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
[62,30895,249581.7,291479.68655973306,-41897.98655973305]
[63,31845,278010.2,299309.1579352151,-21298.95793521509]
[64,50618,537451.34000000008,454027.75386355619,83423.58613644389]
[65,62293,448052.27,550247.83629382215,-102195.56629382214]
[66,61228,519618.76,{"$f":"FORECAST(B67,$C$2:$C$191,$B$2:$B$191)","v":541470.58680446597},{"$f":"C67-D67","v":-21851.826804465964}]
[67,32558,364510.28,305185.38224123477,59324.897758765263]
[68,40694,351135.6,372238.62341062608,-21103.023410626105]
[69,46333,390547.55,418712.71718572412,-28165.167185724131]
[70,28415,234129.2,271040.64549531683,-36911.445495316817]
[71,19993,224538.89,201630.32136446459,22908.568635535426]
[72,34414,248912.92,320481.69684428175,-71568.776844281732]
[73,52078,328096.52,466060.41513534961,-137963.89513534959]
[74,24507,262965.82999999996,238832.67272122865,24133.157278771308]
[75,28516,334304.52,271873.04192576278,62431.478074237239]
[76,17554,216060.84,181529.18380151654,34531.656198483455]
[77,16662,183462.62,174177.72225737973,9284.8977426202619]
[78,57162,517013.54,507960.4493174029,9053.0906825970742]
[79,57297,731834.3,509073.05840760295,222761.2415923971]
[80,64112,439159.84,565239.21359066607,-126079.37359066604]
[81,37237,453649.08,343747.58915268781,109901.49084731221]
[82,55058,495969.8,490620.23060791427,5349.5693920857157]
[83,30791,306489.03000000003,290622.5654828382,15866.464517161832]
[84,19784,226868.96,199907.83766185856,26961.122338141431]
[85,32463,316845.86,304402.43510368653,12443.42489631346]
[86,59364,496417.28000000003,526108.33981088852,-29691.059810888488]
[87,64632,527881.68000000005,569524.81897514046,-41643.138975140406]
[88,58106,535766.15999999992,515740.47139998712,20025.6886000128]
[89,60333,469314.35,534094.40061388025,-64780.050613880274]
[90,58353,558254.63,517776.13395761244,40478.49604238756]
[91,22672,197141.28,223709.4306433239,-26568.150643323897]
[92,64325,563313.5,566994.66348853731,-3681.163488537306]
[93,32326,365825.02,303273.34291585389,62551.677084146126]
[94,16138,206538.6,169859.15067764017,36679.44932235984]
[95,34957,320916.75,324956.85785153095,-4040.1078515309491]
[96,26159,294325.06,252447.71136575108,41877.34863424892]
[97,42098,329951.7,383809.75794870686,-53858.057948706846]
[98,20582,161277.70000000001,206484.59361726345,-45206.893617263442]
[99,45614,428140.06,412787.04358680669,15353.016413193312]
[100,42729,433279.13,389010.17525179021,44268.954748209799]
[101,40053,346792.73,366955.79061937978,-20163.060619379801]
[102,51749,540063.03,463348.94557478797,76714.084425212059]
[103,59753,588972.06000000006,529314.30230042804,59657.757699572016]
[104,34045,290698.15000000002,317440.56533106818,-26742.415331068158]
[105,56384,544487.67999999993,501548.52433832391,42939.155661676021]
[106,33242,206569.82,310822.60163158178,-104252.78163158178]
[107,49060,550902.6,441187.42080776568,109715.1791922343]
[108,38219,321737.09000000003,351840.7900902913,-30103.70009029127]
[109,56891,568845.91999999993,505726.98958818644,63118.93041181349]
[110,52906,426690.72,472884.41755524342,-46193.697555243445]
[111,44835,430649.15,406366.87705891137,24282.272941088653]
[112,45028,400768.12,407957.4959804567,-7189.3759804567089]
[113,15988,175665.68,168622.91835519564,7042.7616448043555]
[114,64717,558028.44999999995,570225.35062452569,-12196.900624525733]
[115,15196,163514.12,162095.61169268852,1418.5083073114802]
[116,45093,398568.89,408493.19665351597,-9924.3066535159596]
[117,51099,483830.51,457991.93884419498,25838.571155805024]
[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
[130,62145,642241.85,{"$f":"FORECAST(B131,$C$2:$C$191,$B$2:$B$191)","v":549028.08706901013},{"$f":"C131-D131","v":93213.762930989848}]
[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals","Ybar Deviations","Ybar Positive Error","Ybar Negative Error"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""},{"$f":"$C214-AVERAGE($C$2:$C$191)","v":281275.40936842083},{"$f":"IF(H214<0,-H214,\"\")","v":""},{"$f":"IF(H214>0,H214,\"\")","v":281275.40936842083}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003},-72455.883106897003,"",{"$f":"$C215-AVERAGE($C$2:$C$191)","v":157611.46936842077},{"$f":"IF(H215<0,-H215,\"\")","v":""},{"$f":"IF(H215>0,H215,\"\")","v":157611.46936842077}]
[3,50941,523751.3,456689.77413122007,67061.525868779921,-67061.525868779921,"",153692.34936842084,"",153692.34936842084]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,"",-6416.9604006173031,-194592.34063157917,194592.34063157917,""]
[5,33029,377977.97,309067.15173371055,68910.818266289425,-68910.818266289425,"",7919.0193684208207,"",7919.0193684208207]
[6,58543,520100.29,519342.02823270886,758.26176729111467,-758.26176729111467,"",150041.33936842083,"",150041.33936842083]
[7,60492,620856.28,535404.80687567149,85451.473124328535,-85451.473124328535,"",250797.32936842088,"",250797.32936842088]
[8,59686,593739.46,528762.11852973618,64977.341470263782,-64977.341470263782,"",223680.50936842081,"",223680.50936842081]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353,"",-95078.504529636353,-158130.69063157914,158130.69063157914,""]
[190,49959,401211.77,448596.57319361652,-47384.803193616506,"",-47384.803193616506,31152.819368420867,"",31152.819368420867]
[]
["Plot Est. Line",null,null,"Plot Ybar",null,null,null,"If we use just Ybar for making predictions, we would not have a very good Model.\nThe Error would be quite big."]
["x","Predicted Line",null,"x","Ybar"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893},null,{"$f":"A227","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569},null,64717,370058.95063157915]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"Think","index":26,"n_rows":232,"n_cols":14,"rows_kept":232,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi "]
[1,63566,651334.36,{"$f":"FORECAST(B2,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C2-D2","v":90595.032063031918}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B3,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C3-D3","v":72455.883106897003}]
[3,50941,523751.3,456689.77413122007,67061.525868779921]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031]
[5,33029,377977.97,309067.15173371055,68910.818266289425]
[6,58543,520100.29,519342.02823270886,758.26176729111467]
[7,60492,620856.28,535404.80687567149,85451.473124328535]
[8,59686,593739.46,528762.11852973618,64977.341470263782]
[9,16432,181948.96,172282.16602963145,9666.7939703685406]
[10,17262,184643.6,179122.65154715785,5520.9484528421599]
[11,39118,379373.56,359249.9424761422,20123.6175238578]
[12,36078,238687.94,334195.63407459971,-95507.694074599713]
[13,42113,410066.15,383933.38118095131,26132.76881904871]
[14,50562,413540.78,453566.22712984355,-40025.447129843524]
[15,38240,340241.6,352013.86261543352,-11772.262615433545]
[16,59870,582843,530278.56351193483,52564.43648806517]
[17,46056,433185.92,416429.80816360988,16756.111836390104]
[18,33349,270770.38,311704.44735492556,-40934.067354925559]
[19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
[20,57077,478077.5,507259.91766801768,-29182.417668017675]
[21,30893,393839.09,291463.20346210047,102375.88653789955]
[22,54153,430154.06,483161.6289291656,-53007.568929165602]
[23,14591,210792.82,157109.47465882893,53683.34534117108]
[24,50138,343808.68,450071.81043173367,-106263.13043173368]
[25,55253,565510.49,492227.3326270922,73283.157372907794]
[26,34944,330250.88,324849.71771691908,5401.162283080921]
[27,26413,295905.03000000003,254541.0647650905,41363.965234909527]
[28,54660,562164.19999999995,487340.09417902812,74824.105820971832]
[29,35887,257067.99,332621.49825068703,-75553.508250687039]
[30,42021,384066.95,383175.15868985199,891.7913101480226]
[31,47349,441576.23,427086.13078308169,14490.099216918286]
[32,24364,252221.2,237654.13124049822,14567.068759501795]
[33,58406,552875.65999999992,518212.93604487617,34662.723955123744]
[34,51643,446101.81,462475.34140026045,-16373.531400260457]
[35,55115,476038.95,491089.99889044318,-15051.04889044317]
[36,35416,393889.36,328739.72875821119,65149.631241788797]
[37,37274,328436.78000000003,344052.52645889076,-15615.746458890731]
[38,36148,408949.64,334772.54249174049,74177.097508259525]
[39,32192,394776.32000000001,302168.97537447012,92607.344625529891]
[40,51238,455804.96,459137.51412966027,-3332.554129660246]
[41,59235,526249.4,525045.1800135863,1204.2199864137219]
[42,59329,562602.56000000006,525819.88560231822,36782.67439768184]
[43,22739,180749.25,224261.61441401578,-43512.364414015785]
[44,28654,275506.98,273010.3756624118,2496.6043375881854]
[45,36786,372981.08,340030.65063653793,32950.429363462084]
[46,20813,216087.74,208388.39139382803,7699.3486061719595]
[47,57259,470281.06,508759.87955258368,-38478.819552583678]
[48,57707,481071.29,512452.0934222847,-31380.80342228472]
[49,61539,612466.46,544033.7084863343,68432.751513665658]
[50,36635,370922.6,338786.17676527705,32136.423234722926]
[51,39086,448677.2,358986.2129140207,89690.987085979315]
[52,33062,259282.46,309339.12284464837,-50056.662844648381]
[53,42144,354279.67999999999,384188.86919425655,-29909.189194256556]
[54,18828,185749.88,192028.91699347875,-6279.036993478745]
[55,57070,415818.7,507202.22682630358,-91383.526826303569]
[56,27991,252095.02,267546.22879720695,-15451.208797206957]
[57,37876,329524.88,349013.93884630146,-19489.058846301457]
[58,16134,233120.9,169826.18448237499,63294.715517625009]
[59,55466,376140.08,493982.78252496338,-117842.70252496336]
[60,26100,208166,251961.45998558958,-43795.459985589579]
[61,23787,226261.67,232898.75757349492,-6637.0875734949077]
[62,30895,249581.7,291479.68655973306,-41897.98655973305]
[63,31845,278010.2,299309.1579352151,-21298.95793521509]
[64,50618,537451.34000000008,454027.75386355619,83423.58613644389]
[65,62293,448052.27,550247.83629382215,-102195.56629382214]
[66,61228,519618.76,{"$f":"FORECAST(B67,$C$2:$C$191,$B$2:$B$191)","v":541470.58680446597},{"$f":"C67-D67","v":-21851.826804465964}]
[67,32558,364510.28,305185.38224123477,59324.897758765263]
[68,40694,351135.6,372238.62341062608,-21103.023410626105]
[69,46333,390547.55,418712.71718572412,-28165.167185724131]
[70,28415,234129.2,271040.64549531683,-36911.445495316817]
[71,19993,224538.89,201630.32136446459,22908.568635535426]
[72,34414,248912.92,320481.69684428175,-71568.776844281732]
[73,52078,328096.52,466060.41513534961,-137963.89513534959]
[74,24507,262965.82999999996,238832.67272122865,24133.157278771308]
[75,28516,334304.52,271873.04192576278,62431.478074237239]
[76,17554,216060.84,181529.18380151654,34531.656198483455]
[77,16662,183462.62,174177.72225737973,9284.8977426202619]
[78,57162,517013.54,507960.4493174029,9053.0906825970742]
[79,57297,731834.3,509073.05840760295,222761.2415923971]
[80,64112,439159.84,565239.21359066607,-126079.37359066604]
[81,37237,453649.08,343747.58915268781,109901.49084731221]
[82,55058,495969.8,490620.23060791427,5349.5693920857157]
[83,30791,306489.03000000003,290622.5654828382,15866.464517161832]
[84,19784,226868.96,199907.83766185856,26961.122338141431]
[85,32463,316845.86,304402.43510368653,12443.42489631346]
[86,59364,496417.28000000003,526108.33981088852,-29691.059810888488]
[87,64632,527881.68000000005,569524.81897514046,-41643.138975140406]
[88,58106,535766.15999999992,515740.47139998712,20025.6886000128]
[89,60333,469314.35,534094.40061388025,-64780.050613880274]
[90,58353,558254.63,517776.13395761244,40478.49604238756]
[91,22672,197141.28,223709.4306433239,-26568.150643323897]
[92,64325,563313.5,566994.66348853731,-3681.163488537306]
[93,32326,365825.02,303273.34291585389,62551.677084146126]
[94,16138,206538.6,169859.15067764017,36679.44932235984]
[95,34957,320916.75,324956.85785153095,-4040.1078515309491]
[96,26159,294325.06,252447.71136575108,41877.34863424892]
[97,42098,329951.7,383809.75794870686,-53858.057948706846]
[98,20582,161277.70000000001,206484.59361726345,-45206.893617263442]
[99,45614,428140.06,412787.04358680669,15353.016413193312]
[100,42729,433279.13,389010.17525179021,44268.954748209799]
[101,40053,346792.73,366955.79061937978,-20163.060619379801]
[102,51749,540063.03,463348.94557478797,76714.084425212059]
[103,59753,588972.06000000006,529314.30230042804,59657.757699572016]
[104,34045,290698.15000000002,317440.56533106818,-26742.415331068158]
[105,56384,544487.67999999993,501548.52433832391,42939.155661676021]
[106,33242,206569.82,310822.60163158178,-104252.78163158178]
[107,49060,550902.6,441187.42080776568,109715.1791922343]
[108,38219,321737.09000000003,351840.7900902913,-30103.70009029127]
[109,56891,568845.91999999993,505726.98958818644,63118.93041181349]
[110,52906,426690.72,472884.41755524342,-46193.697555243445]
[111,44835,430649.15,406366.87705891137,24282.272941088653]
[112,45028,400768.12,407957.4959804567,-7189.3759804567089]
[113,15988,175665.68,168622.91835519564,7042.7616448043555]
[114,64717,558028.44999999995,570225.35062452569,-12196.900624525733]
[115,15196,163514.12,162095.61169268852,1418.5083073114802]
[116,45093,398568.89,408493.19665351597,-9924.3066535159596]
[117,51099,483830.51,457991.93884419498,25838.571155805024]
[118,40839,292958.71999999997,373433.64798898913,-80474.927988989162]
[119,29773,275083.88,282232.66878784797,-7148.7887878479669]
[120,60954,599805.07999999996,539212.40242880059,60592.677571199369]
[121,53820,524692.4,480417.19317333878,44275.206826661248]
[122,19365,196012.1,196454.62870783015,-442.52870783014805]
[123,39109,360134.37,359175.76853679551,958.60146320448257]
[124,40439,312044.71999999997,370137.02846247033,-58092.308462470362]
[125,35117,268076.57,326275.50566213846,-58198.93566213845]
[126,50624,394243.2,454077.20315645396,-59834.003156453953]
[127,55174,474839.8,491576.25027060474,-16736.45027060475]
[128,52278,474497.36,467708.72489860898,6788.6351013910025]
[129,30557,301178.54000000004,288694.04305982473,12484.496940175304]
[130,62145,642241.85,{"$f":"FORECAST(B131,$C$2:$C$191,$B$2:$B$191)","v":549028.08706901013},{"$f":"C131-D131","v":93213.762930989848}]
[131,58106,475335.92,515740.47139998712,-40404.551399987133]
[132,55233,543230.68999999994,492062.50165076624,51168.188349233707]
[133,51653,343389.04,462557.75688842346,-119168.71688842349]
[134,16221,195989,170543.19922939281,25445.800770607195]
[135,28538,295141.42000000004,272054.35599972133,23087.064000278711]
[136,33546,355268.6,313328.03247173608,41940.567528263899]
[137,50539,505356.39,453376.67150706874,51979.718492931279]
[138,14677,180772.07,157818.24785703045,22953.822142969555]
[139,15835,146751.85,167361.96138630222,-20610.111386302218]
[140,24504,198984.32000000001,238807.94807477976,-39823.628074779757]
[141,21816,210783.92,216654.6648565738,-5870.7448565737868]
[142,28370,246604.1,270669.77579858346,-24065.675798583456]
[143,46733,430873.95,422009.33671224286,8864.6132877571508]
[144,46568,393671.84,420649.48115755385,-26977.641157553822]
[145,42540,363945.2,387452.52252551011,-23507.322525510099]
[146,39348,275857.52,361145.49870389048,-85287.978703890461]
[147,34125,350641.25,318099.88923637196,32541.360763628036]
[148,61572,580750.64,544305.67959727207,36444.960402727942]
[149,54730,410123.4,487917.0025961689,-77793.602596168872]
[150,38799,332068.73,356620.88840374351,-24552.158403743524]
[151,22293,208949.09,220585.88364194738,-11636.793641947384]
[152,37202,346499.94,343459.1349441174,3040.8050558826071]
[153,53171,474836.29,475068.42799156212,-232.13799156213645]
[154,33287,255380.79,311193.47132831515,-55812.681328315142]
[155,35445,237858.5,328978.73367388378,-91120.233673883777]
[156,21723,224001.23,215888.20081665818,8113.0291833418305]
[157,40939,439329.89,374257.80287061882,65072.087129381194]
[158,45048,362182.64,408122.32695678261,-45939.686956782592]
[159,30296,299639.04000000004,286542.99881877122,13096.041181228822]
[160,53521,457210.54,477952.97007726599,-20742.430077266006]
[161,24680,209679.6,240258.46066644802,-30578.860666448018]
[162,46956,426587.12,423847.20209827705,2739.9179017229471]
[163,16392,200150.72,171952.50407697956,28198.215923020442]
[164,53761,534924.22,479930.94179317722,54993.278206822753]
[165,56104,460681.28,499240.89066976082,-38559.61066976079]
[166,15241,151200.24,162466.48138942188,-11266.241389421892]
[167,19284,212426.64,195787.0632537101,16639.576746289909]
[168,14673,181763.54,157785.28166176524,23978.258338234766]
[169,57793,497895.75,513160.86662048619,-15265.116620486195]
[170,28259,242161.2,269754.9638799745,-27593.763879974489]
[171,30304,206671.68,286608.93120930158,-79937.251209301583]
[172,62568,496735.52,552514.26221830375,-55778.742218303727]
[173,56139,513074.17,499529.34487833118,13544.825121668808]
[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896]
[175,17006,110924.66,177012.81505018586,-66088.155050185858]
[176,31596,329940.56,297257.01227995718,32683.547720042814]
[177,40607,363486.04,371521.60866360826,-8035.5686636082828]
[178,61771,569494.11,545945.74781171512,23548.362188284867]
[179,30412,279610.59999999998,287499.01848146168,-7888.4184814617038]
[180,36947,361463.21,341357.53999596171,20105.670004038315]
[181,43194,395552,392842.49545136822,2709.5045486317831]
[182,56866,492417.48,505520.95086777903,-13103.470867779048]
[183,39851,367213.96,365290.99775848782,1922.9622415121994]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277]
[186,27520,266032,263664.45930473111,2367.5406952688936]
[187,28852,311399.12,274642.20232803852,36756.917671961477]
[188,60878,505367.44,538586.04471876204,-33218.604718762042]
[189,32779,211928.26,307006.76452963636,-95078.504529636353]
[190,49959,401211.77,448596.57319361652,-47384.803193616506]
[null,"Total",{"$f":"SUM(C2:C191)","v":70311200.620000035},{"$f":"SUM(D2:D191)","v":70311200.620000049},{"$f":"SUM(E2:E191)","v":-3.3527612686157227E-8}]
[]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,"Yhat Predicted"]
[{"$f":"A1","v":"ith Sample Point"},{"$f":"B1","v":"Weekly $ Ad Expense (x)"},{"$f":"C1","v":"Weekly $ Sales (y)"},{"$f":"D1","v":"Predicted =\nŷi = b1*Xi+b0"},{"$f":"E1","v":"ith Residual =\nei =Yi - ŷi "},"Positive Residuals","Negative Residuals","Ybar Deviations","Ybar Positive Error","Ybar Negative Error",null,"Yhat-Ybar","Yhat-Ybar Pos","Yhat-Ybar Neg"]
[{"$f":"A2","v":1},63566,651334.36,{"$f":"FORECAST(B214,$C$2:$C$191,$B$2:$B$191)","v":560739.32793696807},{"$f":"C214-D214","v":90595.032063031918},{"$f":"IF(E214>=0,-E214,\"\")","v":-90595.032063031918},{"$f":"IF(ISNUMBER(F214),\"\",E214)","v":""},{"$f":"$C214-AVERAGE($C$2:$C$191)","v":281275.40936842083},{"$f":"IF(H214<0,-H214,\"\")","v":""},{"$f":"IF(H214>0,H214,\"\")","v":281275.40936842083},null,{"$f":"D214-AVERAGE($C$2:$C$191)","v":190680.37730538892},{"$f":"IF(L214>0,-L214,\"\")","v":-190680.37730538892},{"$f":"IF(L214<0,L214,\"\")","v":""}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B215,$C$2:$C$191,$B$2:$B$191)","v":455214.53689310292},{"$f":"C215-D215","v":72455.883106897003},{"$f":"IF(E215>=0,-E215,\"\")","v":-72455.883106897003},{"$f":"IF(ISNUMBER(F215),\"\",E215)","v":""},{"$f":"$C215-AVERAGE($C$2:$C$191)","v":157611.46936842077},{"$f":"IF(H215<0,-H215,\"\")","v":""},{"$f":"IF(H215>0,H215,\"\")","v":157611.46936842077},null,{"$f":"D215-AVERAGE($C$2:$C$191)","v":85155.586261523771},{"$f":"IF(L215>0,-L215,\"\")","v":-85155.586261523771},{"$f":"IF(L215<0,L215,\"\")","v":""}]
[3,50941,523751.3,456689.77413122007,67061.525868779921,-67061.525868779921,"",153692.34936842084,"",153692.34936842084,null,86630.823499640916,-86630.823499640916,""]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,"",-6416.9604006173031,-194592.34063157917,194592.34063157917,"",null,-188175.38023096186,"",-188175.38023096186]
[5,33029,377977.97,309067.15173371055,68910.818266289425,-68910.818266289425,"",7919.0193684208207,"",7919.0193684208207,null,-60991.798897868604,"",-60991.798897868604]
[6,58543,520100.29,519342.02823270886,758.26176729111467,-758.26176729111467,"",150041.33936842083,"",150041.33936842083,null,149283.07760112971,-149283.07760112971,""]
[7,60492,620856.28,535404.80687567149,85451.473124328535,-85451.473124328535,"",250797.32936842088,"",250797.32936842088,null,165345.85624409234,-165345.85624409234,""]
[8,59686,593739.46,528762.11852973618,64977.341470263782,-64977.341470263782,"",223680.50936842081,"",223680.50936842081,null,158703.16789815703,-158703.16789815703,""]
[{"$f":"A190","v":189},32779,211928.26,307006.76452963636,-95078.504529636353,"",-95078.504529636353,-158130.69063157914,158130.69063157914,"",null,-63052.186101942789,"",-63052.186101942789]
[190,49959,401211.77,448596.57319361652,-47384.803193616506,"",-47384.803193616506,31152.819368420867,"",31152.819368420867,null,78537.622562037373,-78537.622562037373,""]
[]
["Plot Est. Line",null,null,"Plot Ybar",null,null,null,"If we use just Ybar for making predictions, we would not have a very good Model.\nThe Error would be quite big."]
["x","Predicted Line",null,"x","Ybar"]
[{"$f":"MIN(B2:B191)","v":14591},{"$f":"FORECAST(A227,$C$2:$C$191,$B$2:$B$191)","v":157109.47465882893},null,{"$f":"A227","v":14591},{"$f":"AVERAGE($C$2:$C$191)","v":370058.95063157915}]
[{"$f":"MAX(B2:B191)","v":64717},{"$f":"FORECAST(A228,$C$2:$C$191,$B$2:$B$191)","v":570225.35062452569},null,64717,370058.95063157915]
[]
[]
[]
["Residuals = Distance from Particular Y value to Predicted Value.\nEstimated Equation can sometimes Overpredict or Underpredict.",{"$f":"CHAR(253)&\" = \"&DOLLAR(SLOPE(C2:C191,B2:B191))&\"*Xi + \"&TEXT(INTERCEPT(C2:C191,B2:B191),\"$0.00\")","v":"ý = $8.24*Xi + $36857.04"}]

{"sheet":"r^2 and s (1)","index":27,"n_rows":224,"n_cols":11,"rows_kept":224,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"Total","Regression^2","Residual^2 or Error^2"]
[null,null,null,null,null,"Total","Explained","Unexplained"]
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi ","(Yi - Ybar)^2","(Yhat - Ybar)^2","(Yi - Yhat)^2 = ei^2"]
[1,63566,651334.36]
[2,50762,527670.41999999993]
[3,50941,523751.3]
[4,17597,175466.61]
[5,33029,377977.97]
[6,58543,520100.29]
[7,60492,620856.28]
[8,59686,593739.46]
[9,16432,181948.96]
[10,17262,184643.6]
[11,39118,379373.56]
[12,36078,238687.94]
[13,42113,410066.15]
[14,50562,413540.78]
[15,38240,340241.6]
[16,59870,582843]
[17,46056,433185.92]
[18,33349,270770.38]
[19,16207,164421.41999999998]
[20,57077,478077.5]
[21,30893,393839.09]
[22,54153,430154.06]
[23,14591,210792.82]
[24,50138,343808.68]
[25,55253,565510.49]
[26,34944,330250.88]
[27,26413,295905.03000000003]
[28,54660,562164.19999999995]
[29,35887,257067.99]
[30,42021,384066.95]
[31,47349,441576.23]
[32,24364,252221.2]
[33,58406,552875.65999999992]
[34,51643,446101.81]
[35,55115,476038.95]
[36,35416,393889.36]
[37,37274,328436.78000000003]
[38,36148,408949.64]
[39,32192,394776.32000000001]
[40,51238,455804.96]
[41,59235,526249.4]
[42,59329,562602.56000000006]
[43,22739,180749.25]
[44,28654,275506.98]
[45,36786,372981.08]
[46,20813,216087.74]
[47,57259,470281.06]
[48,57707,481071.29]
[49,61539,612466.46]
[50,36635,370922.6]
[51,39086,448677.2]
[52,33062,259282.46]
[53,42144,354279.67999999999]
[54,18828,185749.88]
[55,57070,415818.7]
[56,27991,252095.02]
[57,37876,329524.88]
[58,16134,233120.9]
[59,55466,376140.08]
[60,26100,208166]
[61,23787,226261.67]
[62,30895,249581.7]
[63,31845,278010.2]
[64,50618,537451.34000000008]
[65,62293,448052.27]
[66,61228,519618.76]
[67,32558,364510.28]
[68,40694,351135.6]
[69,46333,390547.55]
[70,28415,234129.2]
[71,19993,224538.89]
[72,34414,248912.92]
[73,52078,328096.52]
[74,24507,262965.82999999996]
[75,28516,334304.52]
[76,17554,216060.84]
[77,16662,183462.62]
[78,57162,517013.54]
[79,57297,731834.3]
[80,64112,439159.84]
[81,37237,453649.08]
[82,55058,495969.8]
[83,30791,306489.03000000003]
[84,19784,226868.96]
[85,32463,316845.86]
[86,59364,496417.28000000003]
[87,64632,527881.68000000005]
[88,58106,535766.15999999992]
[89,60333,469314.35]
[90,58353,558254.63]
[91,22672,197141.28]
[92,64325,563313.5]
[93,32326,365825.02]
[94,16138,206538.6]
[95,34957,320916.75]
[96,26159,294325.06]
[97,42098,329951.7]
[98,20582,161277.70000000001]
[99,45614,428140.06]
[100,42729,433279.13]
[101,40053,346792.73]
[102,51749,540063.03]
[103,59753,588972.06000000006]
[104,34045,290698.15000000002]
[105,56384,544487.67999999993]
[106,33242,206569.82]
[107,49060,550902.6]
[108,38219,321737.09000000003]
[109,56891,568845.91999999993]
[110,52906,426690.72]
[111,44835,430649.15]
[112,45028,400768.12]
[113,15988,175665.68]
[114,64717,558028.44999999995]
[115,15196,163514.12]
[116,45093,398568.89]
[117,51099,483830.51]
[118,40839,292958.71999999997]
[119,29773,275083.88]
[120,60954,599805.07999999996]
[121,53820,524692.4]
[122,19365,196012.1]
[123,39109,360134.37]
[124,40439,312044.71999999997]
[125,35117,268076.57]
[126,50624,394243.2]
[127,55174,474839.8]
[128,52278,474497.36]
[129,30557,301178.54000000004]
[130,62145,642241.85]
[131,58106,475335.92]
[132,55233,543230.68999999994]
[133,51653,343389.04]
[134,16221,195989]
[135,28538,295141.42000000004]
[136,33546,355268.6]
[137,50539,505356.39]
[138,14677,180772.07]
[139,15835,146751.85]
[140,24504,198984.32000000001]
[141,21816,210783.92]
[142,28370,246604.1]
[143,46733,430873.95]
[144,46568,393671.84]
[145,42540,363945.2]
[146,39348,275857.52]
[147,34125,350641.25]
[148,61572,580750.64]
[149,54730,410123.4]
[150,38799,332068.73]
[151,22293,208949.09]
[152,37202,346499.94]
[153,53171,474836.29]
[154,33287,255380.79]
[155,35445,237858.5]
[156,21723,224001.23]
[157,40939,439329.89]
[158,45048,362182.64]
[159,30296,299639.04000000004]
[160,53521,457210.54]
[161,24680,209679.6]
[162,46956,426587.12]
[163,16392,200150.72]
[164,53761,534924.22]
[165,56104,460681.28]
[166,15241,151200.24]
[167,19284,212426.64]
[168,14673,181763.54]
[169,57793,497895.75]
[170,28259,242161.2]
[171,30304,206671.68]
[172,62568,496735.52]
[173,56139,513074.17]
[174,23120,214614.39999999999]
[175,17006,110924.66]
[176,31596,329940.56]
[177,40607,363486.04]
[178,61771,569494.11]
[179,30412,279610.59999999998]
[180,36947,361463.21]
[181,43194,395552]
[182,56866,492417.48]
[183,39851,367213.96]
[184,36617,312177.71999999997]
[185,46438,331878.65999999997]
[186,27520,266032]
[187,28852,311399.12]
[188,60878,505367.44]
[189,32779,211928.26]
[190,49959,401211.77]
[null,"Total"]
[null,null,null,null,null,"SST","SSR","SSE"]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
["Count = n =",{"$f":"COUNT(B4:B193)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B198),_xlfn.FORMULATEXT(B198),\"\")","v":" =COUNT(B4:B193)"},null,null,null,null,null,null,"Note 3: Σei^2 has been minimized because we used \"Least Squares Method\" for calculating b1 and b0."]
["n-1",{"$f":"B198-1","v":189}," =B198-1"]
["Xbar",{"$f":"AVERAGE(B4:B193)","v":40429.526315789473}," =AVERAGE(B4:B193)"]
["Ybar",{"$f":"AVERAGE(C4:C193)","v":370058.95063157915}," =AVERAGE(C4:C193)"]
["Slope = b1 =",{"$f":"SLOPE(C4:C193,B4:B193)","v":8.2415488162968682}," =SLOPE(C4:C193,B4:B193)"]
["y-intercept = b0 =",{"$f":"INTERCEPT(C4:C193,B4:B193)","v":36857.03588024131}," =INTERCEPT(C4:C193,B4:B193)"]
["SST",null," ",null,"How well observations cluster around Ybar Line"]
["SSR",null," ",null,"Part of SST that Estimated Regression Equation/Line Explains."]
["SSE",null," ",null,"How well observations cluster around Yhat Line"]
["r^2 = SSR/SST",null," ",null,{"$f":"B210^2","v":0}]
["r^2 =",null," "]
["r^2 = 1  - SSE/SST",null," "]
["r = (Sign of b1)*SQRT(r^2)",null," "]
["r =",null," "]
[{"$f":"TEXT($B$207,\"0.00%\")&\" of the Total Sum of Squares can be explained by the Estimated Simple Linear Regression Equation / Line.\"","v":"0.00% of the Total Sum of Squares can be explained by the Estimated Simple Linear Regression Equation / Line."}]
[{"$f":"TEXT($B$207,\"0.00%\")&\" of the Variation in Y can be explained by the Estimated Simple Linear Regression Equation / Line.\"","v":"0.00% of the Variation in Y can be explained by the Estimated Simple Linear Regression Equation / Line."}]
[{"$f":"TEXT($B$207,\"0.00%\")&\" indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points.\"","v":"0.00% indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points."}]
[{"$f":"\"The proportion of the Sum of Squared Total that can be explained by using the Estimated Regression Equation is: \"&ROUND($B$207,4)","v":"The proportion of the Sum of Squared Total that can be explained by using the Estimated Regression Equation is: 0"}]
["We can think of it this way: if we had not collected x and y data, we would be stuck with the Y = Ybar Line with the total Variation of (Y - Ybar). "]
[{"$f":"\"Our predictions would be much less accurate. Our Equation explains \"&TEXT(B207,\"0.00%\")&\" of the variation above the Ybar Line.\"","v":"Our predictions would be much less accurate. Our Equation explains 0.00% of the variation above the Ybar Line."}]
[]
["q = # Independent Variables",null,1]
[" n - q - 1 = df in Excel =",null,null,{"$f":"\" \"&IF(_xlfn.ISFORMULA(C220),_xlfn.FORMULATEXT(C220),\"\")","v":" "},null,null,null,null,null,null,"In Excel n-q-1 = df = Degrees of Freedom = n - # of estimated parameters."]
["MSE = SSE/(n-q-1)",null,null," ","Estimate of Variance for Regression Equation "]
["Standard Error of the Estimate = s",null,null," ","Estimate of Standard Deviation for Regression Equation = How Fairly Line Represents Its Data Points"]
["Standard Error of the Estimate = s",null,null," "]
[{"$f":"\"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of \"&DOLLAR(C222)&\".\"","v":"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of $0.00."}]

{"sheet":"r^2 and s (1an)","index":28,"n_rows":224,"n_cols":11,"rows_kept":224,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"Total","Regression^2","Residual^2 or Error^2"]
[null,null,null,null,null,"Total","Explained","Unexplained"]
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)","Predicted =\nŷi = b1*Xi+b0","ith Residual =\nei =Yi - ŷi ","(Yi - Ybar)^2","(Yhat - Ybar)^2","(Yi - Yhat)^2 = ei^2"]
[1,63566,651334.36,{"$f":"FORECAST(B4,$C$4:$C$193,$B$4:$B$193)","v":560739.32793696807},{"$f":"C4-D4","v":90595.032063031918},{"$f":"(C4-$B$201)^2","v":79115855915.372726},{"$f":"(D4-$B$201)^2","v":36359006289.325478},{"$f":"E4^2","v":8207459834.5017815}]
[2,50762,527670.41999999993,{"$f":"FORECAST(B5,$C$4:$C$193,$B$4:$B$193)","v":455214.53689310292},{"$f":"C5-D5","v":72455.883106897003},{"$f":"(C5-$B$201)^2","v":24841375276.472641},7251473871.5438156,{"$f":"E5^2","v":5249854996.8003225}]
[3,50941,523751.3,456689.77413122007,67061.525868779921,23621338254.384727,7504899580.2259369,4497248251.8490381]
[4,17597,175466.61,181883.57040061729,-6416.9604006173031,37866179032.476532,35409973725.06707,41177380.783090577]
[5,33029,377977.97,309067.15173371055,68910.818266289425,62710867.757424094,3719999532.7980461,4748700874.1295681]
[6,58543,520100.29,519342.02823270886,758.26176729111467,22512403519.469631,22285437258.064915,574960.90773544449]
[7,60492,620856.28,535404.80687567149,85451.473124328535,62899300418.332184,27339252177.092049,7301954259.1178417]
[8,59686,593739.46,528762.11852973618,64977.341470263782,50032970271.316193,25186695500.910622,4222054904.5432615]
[9,16432,181948.96,172282.16602963145,9666.7939703685406,35385368575.412796,39115656527.485214,93446905.66555357]
[10,17262,184643.6,179122.65154715785,5520.9484528421599,34378852249.831436,36456670308.055588,30480871.818940241]
[11,39118,379373.56,359249.9424761422,20123.6175238578,86761947.686273396,116834657.30430257,404959982.2465167]
[12,36078,238687.94,334195.63407459971,-95507.694074599713,17258342434.36248,1286177474.4661155,9121719627.4473286]
[13,42113,410066.15,383933.38118095131,26132.76881904871,1600576001.3045754,192499823.06935152,682921606.14984453]
[14,50562,413540.78,453566.22712984355,-40025.447129843524,1890669485.2244682,6973465228.1575823,1602036417.9438992]
[15,38240,340241.6,352013.86261543352,-11772.262615433545,889074398.686535,325625201.51044261,138586167.08673424]
[16,59870,582843,530278.56351193483,52564.43648806517,45277051665.622559,25670324351.531036,2763019983.307837]
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[20,57077,478077.5,507259.91766801768,-29182.417668017675,11668007007.657972,18824105355.733891,851613500.95063019]
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[22,54153,430154.06,483161.6289291656,-53007.568929165602,3611422170.0024629,12792215838.087332,2809802363.7802424]
[23,14591,210792.82,157109.47465882893,53683.34534117108,25365700366.355232,45347479317.068924,2881901567.0194345]
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[28,54660,562164.19999999995,487340.09417902812,74824.105820971832,36904426834.903137,13754866631.797331,5598646811.9079905]
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[49,61539,612466.46,544033.7084863343,68432.751513665658,58761400598.201027,30267216370.620689,4683041479.7311096]
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[66,61228,519618.76,{"$f":"FORECAST(B69,$C$4:$C$193,$B$4:$B$193)","v":541470.58680446597},{"$f":"C69-D69","v":-21851.826804465964},{"$f":"(C69-$B$201)^2","v":22368136578.318386},29381949015.466122,{"$f":"E69^2","v":477502334.69237715}]
[67,32558,364510.28,305185.38224123477,59324.897758765263,30787745.77774867,4208579875.6966901,3519443494.0879517]
[68,40694,351135.6,372238.62341062608,-21103.023410626105,358093199.12568796,4750973.4237181684,445337597.06943345]
[69,46333,390547.55,418712.71718572412,-28165.167185724131,419782704.07965469,2367188999.9052353,793276642.59979141]
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[130,62145,642241.85,{"$f":"FORECAST(B133,$C$4:$C$193,$B$4:$B$193)","v":549028.08706901013},{"$f":"C133-D133","v":93213.762930989848},{"$f":"(C133-$B$201)^2","v":74083530708.599899},32029951797.159786,{"$f":"E133^2","v":8688805599.7547779}]
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[174,23120,214614.39999999999,227401.64451302489,-12787.244513024896,24163008321.053577,20351106989.002899,163513622.23588532]
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[178,61771,569494.11,545945.74781171512,23548.362188284867,39774382792.307419,30936165422.286285,554525361.75064445]
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[180,36947,361463.21,341357.53999596171,20105.670004038315,73886757.005380392,823770972.47433424,404237966.31128603]
[181,43194,395552,392842.49545136822,2709.5045486317831,649895566.10074258,519089914.55533719,7341414.8990563229]
[182,56866,492417.48,505520.95086777903,-13103.470867779048,14971609709.202703,18349953507.992214,171700948.78273419]
[183,39851,367213.96,365290.99775848782,1922.9622415121994,8093971.6937730191,22733374.600019868,3697783.7822816223]
[184,36617,312177.71999999997,338637.82888658374,-26460.108886583766,3350236859.4260597,987286891.71382356,700137362.28986919]
[185,46438,331878.65999999997,419578.07981143525,-87699.419811435277,1457734592.7118526,2452144154.731276,7691188235.2623663]
[186,27520,266032,263664.45930473111,2367.5406952688936,10821606457.705006,11319787784.698744,5605248.9437543163]
[187,28852,311399.12,274642.20232803852,36756.917671961477,3440975729.7255521,9104355856.8212242,1351070996.7433538]
[188,60878,505367.44,538586.04471876204,-33218.604718762042,18308387295.164059,28401381441.470196,1103475699.4613597]
[189,32779,211928.26,307006.76452963636,-95078.504529636353,25005315319.62019,3975578172.2340274,9039922023.5920811]
[190,49959,401211.77,448596.57319361652,-47384.803193616506,970498154.60145831,6168158157.6970415,2245319573.6977692]
[null,"Total",{"$f":"SUM(C4:C193)","v":70311200.620000035},{"$f":"SUM(D4:D193)","v":70311200.620000049},{"$f":"SUM(E4:E193)","v":-3.3527612686157227E-8},{"$f":"SUM(F4:F193)","v":3269387200138.7446},{"$f":"SUM(G4:G193)","v":2752712827448.4297},{"$f":"SUM(H4:H193)","v":516674372690.31818}]
[null,null,null,null,null,"SST","SSR","SSE"]
[null,null," Note 1: ΣYi =  Σŷi",null,"Note 2: Σei = 0"]
[]
["Count = n =",{"$f":"COUNT(B4:B193)","v":190},{"$f":"\" \"&IF(_xlfn.ISFORMULA(B198),_xlfn.FORMULATEXT(B198),\"\")","v":" =COUNT(B4:B193)"},null,null,null,null,null,null,"Note 3: Σei^2 has been minimized because we used \"Least Squares Method\" for calculating b1 and b0."]
["n-1",{"$f":"B198-1","v":189}," =B198-1"]
["Xbar",{"$f":"AVERAGE(B4:B193)","v":40429.526315789473}," =AVERAGE(B4:B193)"]
["Ybar",{"$f":"AVERAGE(C4:C193)","v":370058.95063157915}," =AVERAGE(C4:C193)"]
["Slope = b1 =",{"$f":"SLOPE(C4:C193,B4:B193)","v":8.2415488162968682}," =SLOPE(C4:C193,B4:B193)"]
["y-intercept = b0 =",null," "]
["SST",{"$f":"G194+H194","v":3269387200138.748}," =G194+H194",null,"How well observations cluster around Ybar Line"]
["SSR",{"$f":"B204-B206","v":2752712827448.4297}," =B204-B206",null,"Part of SST that Estimated Regression Equation/Line Explains."]
["SSE",{"$f":"SUMSQ(E4:E193)","v":516674372690.31818}," =SUMSQ(E4:E193)",null,"How well observations cluster around Yhat Line"]
["r^2 = SSR/SST",{"$f":"B205/B204","v":0.84196598901825048}," =B205/B204",null,{"$f":"B210^2","v":0.84196598901825048}]
["r^2 =",{"$f":"RSQ(C4:C193,B4:B193)","v":0.84196598901825104}," =RSQ(C4:C193,B4:B193)"]
["r^2 = 1  - SSE/SST",{"$f":"1-B206/B204","v":0.84196598901825048}," =1-B206/B204"]
["r = (Sign of b1)*SQRT(r^2)",{"$f":"SIGN(B202)*SQRT(B207)","v":0.91758704710684014}," =SIGN(B202)*SQRT(B207)"]
["r =",{"$f":"PEARSON(C4:C193,B4:B193)","v":0.91758704710684036}," =PEARSON(C4:C193,B4:B193)"]
[{"$f":"TEXT($B$207,\"0.00%\")&\" of the Total Sum of Squares can be explained by the Estimated Simple Linear Regression Equation / Line.\"","v":"84.20% of the Total Sum of Squares can be explained by the Estimated Simple Linear Regression Equation / Line."}]
[{"$f":"TEXT($B$207,\"0.00%\")&\" of the Variation in Y can be explained by the Estimated Simple Linear Regression Equation / Line.\"","v":"84.20% of the Variation in Y can be explained by the Estimated Simple Linear Regression Equation / Line."}]
[{"$f":"TEXT($B$207,\"0.00%\")&\" indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points.\"","v":"84.20% indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points."}]
[{"$f":"\"The proportion of the Sum of Squared Total that can be explained by using the Estimated Regression Equation is: \"&ROUND($B$207,4)","v":"The proportion of the Sum of Squared Total that can be explained by using the Estimated Regression Equation is: 0.842"}]
["We can think of it this way: if we had not collected x and y data, we would be stuck with the Y = Ybar Line with the total Variation of (Y - Ybar). "]
[{"$f":"\"Our predictions would be much less accurate. Our Equation explains \"&TEXT(B207,\"0.00%\")&\" of the variation above the Ybar Line.\"","v":"Our predictions would be much less accurate. Our Equation explains 84.20% of the variation above the Ybar Line."}]
[]
["q = # Independent Variables",null,1]
[" n - q - 1 = df in Excel =",null,{"$f":"B198-C219-1","v":188},{"$f":"\" \"&IF(_xlfn.ISFORMULA(C220),_xlfn.FORMULATEXT(C220),\"\")","v":" =B198-C219-1"},null,null,null,null,null,null,"In Excel n-q-1 = df = Degrees of Freedom = n - # of estimated parameters."]
["MSE = SSE/(n-q-1)",null,{"$f":"B206/C220","v":2748267939.8421178}," =B206/C220","Estimate of Variance for Regression Equation "]
["Standard Error of the Estimate = s",null,{"$f":"SQRT(C221)","v":52423.925261679113}," =SQRT(C221)","Estimate of Standard Deviation for Regression Equation = How Fairly Line Represents Its Data Points"]
["Standard Error of the Estimate = s",null,{"$f":"STEYX(C4:C193,B4:B193)","v":52423.925261679055}," =STEYX(C4:C193,B4:B193)"]
[{"$f":"\"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of \"&DOLLAR(C222)&\".\"","v":"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of $52,423.93."}]

{"sheet":"r^2 and s (2)","index":29,"n_rows":23,"n_cols":9,"rows_kept":23,"cut":false,"hidden":false,"merged":[]}
["Entry Level BMX Race Bike Prices and weights.",null,null,null,"rxy = C of Correlation",{"$f":"PEARSON(C4:C23,B4:B23)","v":-0.89754352429951367},{"$f":"IF(_xlfn.ISFORMULA(F1),_xlfn.FORMULATEXT(F1),\"\")","v":"=PEARSON(C4:C23,B4:B23)"}]
[null,null,null,null,"b1 = Slope",{"$f":"SLOPE(C4:C23,B4:B23)","v":-58.606577090452014},{"$f":"IF(_xlfn.ISFORMULA(F2),_xlfn.FORMULATEXT(F2),\"\")","v":"=SLOPE(C4:C23,B4:B23)"}]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y",null,"b0 = Y-intercept",{"$f":"INTERCEPT(C4:C23,B4:B23)","v":1732.4467783873561},{"$f":"IF(_xlfn.ISFORMULA(F3),_xlfn.FORMULATEXT(F3),\"\")","v":"=INTERCEPT(C4:C23,B4:B23)"},"rxy = C of Correlation"]
["2015 SE Ripper",22.4,299,null,"r^2",null,{"$f":"IF(_xlfn.ISFORMULA(F4),_xlfn.FORMULATEXT(F4),\"\")","v":""},null,{"$f":"IF(_xlfn.ISFORMULA(H4),_xlfn.FORMULATEXT(H4),\"\")","v":""}]
["2014 Redline MX",21,462,null,"s = Standard Error of the Estimate",null,{"$f":"IF(_xlfn.ISFORMULA(F5),_xlfn.FORMULATEXT(F5),\"\")","v":""}]
["2015 SE PK Ripper Elite",21,549]
["2015 Grenade Launch Pro X",26,180,null,{"$f":"\"r^2 of \"&TEXT($F$4,\"0.00%\")&\" indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points.\"","v":"r^2 of 0.00% indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points."}]
["2015 SE PK Ripper Elite XL",21.1,549,null,"We should feel confident that our model can be used to make predictions over the x value range 20 - 27 lbs."]
["2015 Grenade M1",26,240,null,{"$f":"\"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of \"&DOLLAR(F5)&\".\"","v":"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of $0.00."}]
["2015 Framed Team",26.4,180]
["2014 Redline MX",21,431]
["2014 Framed Team",25.2,360]
["2014 Grenade MX",26,230]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]

{"sheet":"r^2 and s (2an)","index":30,"n_rows":23,"n_cols":9,"rows_kept":23,"cut":false,"hidden":false,"merged":[]}
["Entry Level BMX Race Bike Prices and weights.",null,null,null,"rxy = C of Correlation",{"$f":"PEARSON(C4:C23,B4:B23)","v":-0.89754352429951367},{"$f":"IF(_xlfn.ISFORMULA(F1),_xlfn.FORMULATEXT(F1),\"\")","v":"=PEARSON(C4:C23,B4:B23)"}]
[null,null,null,null,"b1 = Slope",{"$f":"SLOPE(C4:C23,B4:B23)","v":-58.606577090452014},{"$f":"IF(_xlfn.ISFORMULA(F2),_xlfn.FORMULATEXT(F2),\"\")","v":"=SLOPE(C4:C23,B4:B23)"}]
["Year Manufacturer and Model","Bike Weight (pound) =x","Price = y",null,"b0 = Y-intercept",{"$f":"INTERCEPT(C4:C23,B4:B23)","v":1732.4467783873561},{"$f":"IF(_xlfn.ISFORMULA(F3),_xlfn.FORMULATEXT(F3),\"\")","v":"=INTERCEPT(C4:C23,B4:B23)"},"rxy = C of Correlation"]
["2015 SE Ripper",22.4,299,null,"r^2",{"$f":"RSQ(C4:C23,B4:B23)","v":0.80558437801199145},{"$f":"IF(_xlfn.ISFORMULA(F4),_xlfn.FORMULATEXT(F4),\"\")","v":"=RSQ(C4:C23,B4:B23)"},{"$f":"SIGN(F2)*SQRT(F4)","v":-0.89754352429951356},{"$f":"IF(_xlfn.ISFORMULA(H4),_xlfn.FORMULATEXT(H4),\"\")","v":"=SIGN(F2)*SQRT(F4)"}]
["2014 Redline MX",21,462,null,"s = Standard Error of the Estimate",{"$f":"STEYX(C4:C23,B4:B23)","v":71.233189367185133},{"$f":"IF(_xlfn.ISFORMULA(F5),_xlfn.FORMULATEXT(F5),\"\")","v":"=STEYX(C4:C23,B4:B23)"}]
["2015 SE PK Ripper Elite",21,549]
["2015 Grenade Launch Pro X",26,180,null,{"$f":"\"r^2 of \"&TEXT($F$4,\"0.00%\")&\" indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points.\"","v":"r^2 of 80.56% indicates a strong fit of the of Estimated Regression Equation/Line to the X-Y Sample Data Points."}]
["2015 SE PK Ripper Elite XL",21.1,549,null,"We should feel confident that our model can be used to make predictions over the x value range 20 - 27 lbs."]
["2015 Grenade M1",26,240,null,{"$f":"\"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of \"&DOLLAR(F5)&\".\"","v":"The Standard Error of the Estimate suggests that any particular estimate will deviate by an average of $71.23."}]
["2015 Framed Team",26.4,180]
["2014 Redline MX",21,431]
["2014 Framed Team",25.2,360]
["2014 Grenade MX",26,230]
["2014 Grenade Stealth Deep Sea Blue",25,270]
["2014 Grenade Flare X",26.8,150]
["2014 Grenade Launch Blue",25.2,170]
["2014 Grenade Launch X",27,160]
["2014 Framed Verdict Blank",25.4,159]
["2014 SE PK Ripper Elite",20.7,500]
["2013 Redline Proline Pro",21.9,560]
["2012 Redline Proline Pro XL",22.5,560]
["2013 Redline Proline Expert XL",20.100000000000001,499]
["2013 Redline MX",23,379]

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["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)",null,"SUMMARY OUTPUT"]
[1,63566,651334.36]
[2,50762,527670.41999999993,null,"Regression Statistics"]
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[4,17597,175466.61,null,"R Square",0.84196598901824993]
[5,33029,377977.97,null,"Adjusted R Square",0.84112538257685765]
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[10,17262,184643.6,null,null,"df","SS","MS","F","Significance F"]
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[13,42113,410066.15,null,"Total",189,3269387200138.7446]
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[15,38240,340241.6,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%"]
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[18,33349,270770.38]
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[21,30893,393839.09,null,"RESIDUAL OUTPUT"]
[22,54153,430154.06]
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["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)"]
[1,63566,651334.36,null,"Slope = b1",null,null,"Intercept = b0"]
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[9,16432,181948.96,null,"1) Highlight one more column that there are independent Variables and 5 rows"]
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[12,36078,238687.94,null,"So far in our studies, we can have studied the LINEST output: b1, b0, Standard Error of the Estimate, SSR & SSE."]
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["ith Sample Point","Annual Income\nx1","# Years Post-High School Education\nx2","Annual Credit Card Charges\ny"]
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[2,68200,4,15289.8,null,null,null,null,null,null,null,null,null,null,null,null,null,"Experimental Region for each x"]
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[6,60800,2,3889.79,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"$ AI x1","# YPHSE x2","Predicted Value: Annual Credit Card Charges"]
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["ith Sample Point","Annual Income\nx1","# Years Post-High School Education\nx2","Annual Credit Card Charges\ny",null,"SUMMARY OUTPUT"]
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[5,53500,4,13569.89,null,"Adjusted R Square",0.53003466184547054]
[6,60800,2,3889.79,null,"Standard Error",4444.6242496875393,null,null,"$ AI x1","# YPHSE x2","Predicted Value: Annual Credit Card Charges"]
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[8,53800,4,3451.52]
[9,93300,8,16392.439999999999,null,"ANOVA"]
[10,97700,7,21855.16,null,null,"df","SS","MS","F","Significance F"]
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[15,84500,6,13836.89,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%"]
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[22,93100,6,18067.060000000001,null,"RESIDUAL OUTPUT"]
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[24,96700,5,13266.53,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals"]
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["Age x1","Blood Pressure x2","Smoker x3","% Risk of Stroke over Next 10 Years Y","Smoker",null,"Smoker","Dummy Variable",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Predicted","Residuals"]
[63,129,{"$f":"VLOOKUP(E2,$G$2:$H$3,2,0)","v":0},7,"No",null,"No",0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"A2*$AC$4+B2*$AB$4+C2*$AA$4+$AD$4","v":9.5005001068116286},{"$f":"D2-X2","v":-2.5005001068116286},null,null,"Slope x2","Slope x1"]
[75,99,{"$f":"VLOOKUP(E3,$G$2:$H$3,2,0)","v":0},15,"No",null,"Yes",1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.67801952154376,2.3219804784562399,null,null,"Standard Error x2","Standard Error x1"]
[80,121,0,31,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.868494951956066,9.1315050480439339,"Slope x3",{"$f":"LINEST(D2:D25,A2:C25,1,1)","v":10.606959746238022},0.22801475384368808,0.83483016917023145,-72.507703796748714,"Intercept"]
[82,125,0,17,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24.450214305671281,-7.4502143056712811,"Standard Error x3",3.2056257953785554,4.8994559544290522E-2,0.16446413181798861,15.092246984707357,"Stand. Error b"]
[60,134,0,14,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.1360833685193796,5.8639166314806204,"C. of Determination",0.82444431853401368,6.5280759749611619,{"$error":"#N/A"},{"$error":"#N/A"}]
[79,205,1,48,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50.793863851893633,-2.793863851893633,"F",31.307989641783969,20,{"$error":"#N/A"},{"$error":"#N/A"}]
[79,120,1,36,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31.412609775180158,4.5873902248198419,"SS Regression",4002.6428146360313,852.31551869730242,{"$error":"#N/A"},{"$error":"#N/A"}]
[82,138,1,37,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38.021365851877235,-1.0213658518772348,null,null,"Standard Error y"]
[64,192,0,28,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24.700259768134217,3.2997402318657834,null,null,"df"]
[53,159,0,13,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.9926410304199607,5.0073589695800393,null,null,"SS Residual"]
[59,151,1,18,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.784463760929867,-3.7844637609298672,"t Stat",{"$f":"AA4/AA5","v":3.3088577467556335},{"$f":"AB4/AB5","v":4.6538790421733527},5.0760622388724403,-4.8043014317363868]
[88,177,1,56,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,51.922922266802459,4.077077733197541,"P-value",{"$f":"_xlfn.T.DIST.2T(ABS(AA12),$AB$7)","v":3.504395614783704E-3},{"$f":"_xlfn.T.DIST.2T(ABS(AB12),$AB$7)","v":1.5294693203438464E-4},{"$f":"_xlfn.T.DIST.2T(ABS(AC12),$AB$7)","v":5.7719494852371015E-5},{"$f":"_xlfn.T.DIST.2T(ABS(AD12),$AB$7)","v":1.0792747172782168E-4}]
[80,130,1,34,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34.527587482787268,-0.52758748278726841,"F p-value",{"$f":"_xlfn.F.DIST.RT(AA7,COUNT(AA4:AC4),AB7)","v":9.4318036201317996E-8}]
[64,209,1,37,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39.183470329714936,-2.183470329714936]
[69,131,1,15,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25.572470375758414,-10.572470375758414]
[68,172,1,36,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34.086245114179391,1.9137548858206088]
[56,203,0,15,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20.529780707052922,-5.5297807070529217]
[71,162,0,8,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.703628337015189,-15.703628337015189]
[71,190,1,51,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40.695001190876468,10.304998809123532]
[62,144,0,16,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.085891245296708,3.9141087547032924]
[70,165,0,24,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.552842429376014,0.44715757062398609]
[64,120,0,3,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.2831974913886626,-5.2831974913886626]
[68,156,0,22,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.831049306442367,2.1689506935576333]
[54,154,0,12,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.6873974303717461,4.3126025696282539]

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["Age x1","Blood Pressure x2","Smoker x3","% Risk of Stroke over Next 10 Years Y","Smoker",null,"Smoker","Dummy Variable",null,"SUMMARY OUTPUT",null,null,null,null,null,null,null,null,null,null,null,null,null,"Predicted","Residuals"]
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[75,99,0,15,"No",null,"Yes",1,null,"Regression Statistics",null,null,null,null,null,null,null,null,null,null,null,null,null,12.67801952154376,2.3219804784562399,null,"Standard Error x3","Standard Error x2","Standard Error x1","Stand. Error b"]
[80,121,0,31,"No",null,null,null,null,"Multiple R",0.9079891621236531,null,null,null,null,null,null,null,null,null,null,null,null,21.868494951956066,9.1315050480439339,null,{"$f":"LINEST(D2:D25,A2:C25,1,1)","v":10.606959746238022},0.22801475384368808,0.83483016917023145,-72.507703796748714]
[82,125,0,17,"No",null,null,null,null,"R Square",0.82444431853401368,null,null,null,null,null,null,null,null,null,null,null,null,24.450214305671281,-7.4502143056712811,null,3.2056257953785554,4.8994559544290522E-2,0.16446413181798861,15.092246984707357]
[60,134,0,14,"No",null,null,null,null,"Adjusted R Square",0.79811096631411582,null,null,null,null,null,null,null,null,null,null,null,null,8.1360833685193796,5.8639166314806204,"C. of Determination",0.82444431853401368,6.5280759749611619,{"$error":"#N/A"},{"$error":"#N/A"}]
[79,205,1,48,"Yes",null,null,null,null,"Standard Error",6.5280759749611619,null,null,null,null,null,null,null,null,null,null,null,null,50.793863851893633,-2.793863851893633,"F",31.307989641783969,20,{"$error":"#N/A"},{"$error":"#N/A"}]
[79,120,1,36,"Yes",null,null,null,null,"Observations",24,null,null,null,null,null,null,null,null,null,null,null,null,31.412609775180158,4.5873902248198419,"SS Regression",4002.6428146360313,852.31551869730242,{"$error":"#N/A"},{"$error":"#N/A"}]
[82,138,1,37,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38.021365851877235,-1.0213658518772348,null,null,"Standard Error y"]
[64,192,0,28,"No",null,null,null,null,"ANOVA",null,null,null,null,null,null,null,null,null,null,null,null,null,24.700259768134217,3.2997402318657834,null,null,"df"]
[53,159,0,13,"No",null,null,null,null,null,"df","SS","MS","F","Significance F",null,null,null,null,null,null,null,null,7.9926410304199607,5.0073589695800393,null,null,"SS Residual"]
[59,151,1,18,"Yes",null,null,null,null,"Regression",3,4002.6428146360313,1334.2142715453438,31.307989641783969,9.4318036201317996E-8,null,null,null,null,null,null,null,null,21.784463760929867,-3.7844637609298672,"t Stat",{"$f":"AA4/AA5","v":3.3088577467556335},{"$f":"AB4/AB5","v":4.6538790421733527},5.0760622388724403,-4.8043014317363868]
[88,177,1,56,"Yes",null,null,null,null,"Residual",20,852.31551869730242,42.61577593486512,null,null,null,null,null,null,null,null,null,null,51.922922266802459,4.077077733197541,"P-value",{"$f":"_xlfn.T.DIST.2T(ABS(AA12),$AB$7)","v":3.504395614783704E-3},{"$f":"_xlfn.T.DIST.2T(ABS(AB12),$AB$7)","v":1.5294693203438464E-4},{"$f":"_xlfn.T.DIST.2T(ABS(AC12),$AB$7)","v":5.7719494852371015E-5},{"$f":"_xlfn.T.DIST.2T(ABS(AD12),$AB$7)","v":1.0792747172782168E-4}]
[80,130,1,34,"Yes",null,null,null,null,"Total",23,4854.9583333333339,null,null,null,null,null,null,null,null,null,null,null,34.527587482787268,-0.52758748278726841,"F p-value",{"$f":"_xlfn.F.DIST.RT(AA7,COUNT(AA4:AC4),AB7)","v":9.4318036201317996E-8}]
[64,209,1,37,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39.183470329714936,-2.183470329714936]
[69,131,1,15,"Yes",null,null,null,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%","Upper 95.0%",null,null,null,null,25.572470375758414,-10.572470375758414]
[68,172,1,36,"Yes",null,null,null,null,"Intercept",-72.507703796748714,15.092246984707357,-4.8043014317363868,1.0792747172782168E-4,-103.98957934395673,-41.025828249540702,-115.45027345223622,-29.565134141261204,-59.488688662164215,null,null,null,null,34.086245114179391,1.9137548858206088]
[56,203,0,15,"No",null,null,null,null,"Age x1",0.83483016917023145,0.16446413181798861,5.0760622388724403,5.7719494852371015E-5,0.49176400181159236,1.1778963365288706,0.36687384407301138,1.3027864942674516,1.4285681942993991,null,null,null,null,20.529780707052922,-5.5297807070529217]
[71,162,0,8,"No",null,null,null,null,"Blood Pressure x2",0.22801475384368808,4.8994559544290522E-2,4.6538790421733527,1.5294693203438464E-4,0.12581389351940714,0.33021561416796902,8.8608588008838252E-2,0.36742091967853791,0.34768728902545937,null,null,null,null,23.703628337015189,-15.703628337015189]
[71,190,1,51,"Yes",null,null,null,null,"Smoker x3",10.606959746238022,3.2056257953785554,3.3088577467556335,3.504395614783704E-3,3.9201415114657907,17.293777981010255,1.4858653759327378,19.728054116543305,15.101315592048804,null,null,null,null,40.695001190876468,10.304998809123532]
[62,144,0,16,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.085891245296708,3.9141087547032924]
[70,165,0,24,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.552842429376014,0.44715757062398609]
[64,120,0,3,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.2831974913886626,-5.2831974913886626]
[68,156,0,22,"No",null,null,null,null,"RESIDUAL OUTPUT",null,null,null,null,null,null,null,null,null,null,null,null,null,19.831049306442367,2.1689506935576333]
[54,154,0,12,"No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.6873974303717461,4.3126025696282539]
[null,null,null,null,null,null,null,null,null,"Observation","Predicted % Risk of Stroke over Next 10 Years Y","Residuals"]
[null,null,null,null,null,null,null,null,null,1,9.5005001068116286,-2.5005001068116286]
[null,null,null,null,null,null,null,null,null,2,12.67801952154376,2.3219804784562399]
[null,null,null,null,null,null,null,null,null,3,21.868494951956059,9.131505048043941]
[null,null,null,null,null,null,null,null,null,4,24.450214305671274,-7.450214305671274]
[null,null,null,null,null,null,null,null,null,5,8.1360833685193725,5.8639166314806275]
[null,null,null,null,null,null,null,null,null,6,50.793863851893647,-2.7938638518936472]
[null,null,null,null,null,null,null,null,null,7,31.412609775180162,4.5873902248198384]
[null,null,null,null,null,null,null,null,null,8,38.021365851877242,-1.0213658518772419]
[null,null,null,null,null,null,null,null,null,9,24.70025976813421,3.2997402318657905]
[null,null,null,null,null,null,null,null,null,10,7.9926410304199607,5.0073589695800393]
[null,null,null,null,null,null,null,null,null,11,21.784463760929864,-3.7844637609298637]
[null,null,null,null,null,null,null,null,null,12,51.922922266802473,4.0770777331975268]
[null,null,null,null,null,null,null,null,null,13,34.527587482787268,-0.52758748278726841]
[null,null,null,null,null,null,null,null,null,14,39.183470329714936,-2.183470329714936]
[null,null,null,null,null,null,null,null,null,15,25.572470375758417,-10.572470375758417]
[null,null,null,null,null,null,null,null,null,16,34.086245114179391,1.9137548858206088]
[null,null,null,null,null,null,null,null,null,17,20.529780707052922,-5.5297807070529217]
[null,null,null,null,null,null,null,null,null,18,23.703628337015189,-15.703628337015189]
[null,null,null,null,null,null,null,null,null,19,40.695001190876482,10.304998809123518]
[null,null,null,null,null,null,null,null,null,20,12.085891245296715,3.9141087547032853]
[null,null,null,null,null,null,null,null,null,21,23.552842429376021,0.44715757062397898]
[null,null,null,null,null,null,null,null,null,22,8.2831974913886697,-5.2831974913886697]
[null,null,null,null,null,null,null,null,null,23,19.831049306442367,2.1689506935576333]
[null,null,null,null,null,null,null,null,null,24,7.6873974303717461,4.3126025696282539]

{"sheet":"Residual Plots","index":40,"n_rows":214,"n_cols":24,"rows_kept":214,"cut":false,"hidden":false,"merged":[]}
["Date","ith Value","Ad Dollars Spent per Week - Xi","Weekly Sales - Yi","Predicted Values\nyhat = b1x + b0","Residual or Error\n(Yi - Yhat) = e",null,null,null,null,null,null,null,null,null,"SUMMARY OUTPUT"]
["2012-01-01",1,63566,651334.36,{"$f":"FORECAST(C2,$D$2:$D$191,$C$2:$C$191)","v":560739.32793696807},{"$f":"D2-E2","v":90595.032063031918}]
["2012-01-08",2,50762,527670.41999999993,{"$f":"FORECAST(C3,$D$2:$D$191,$C$2:$C$191)","v":455214.53689310292},{"$f":"D3-E3","v":72455.883106897003},null,null,null,null,null,null,null,null,null,"Regression Statistics"]
["2012-01-15",3,50941,523751.3,456689.77413122007,67061.525868779921,null,null,null,null,null,null,null,null,null,"Multiple R",0.9175870471068398]
["2012-01-22",4,17597,175466.61,181883.57040061729,-6416.9604006173031,null,null,null,null,null,null,null,null,null,"R Square",0.84196598901824993]
["2012-01-29",5,33029,377977.97,309067.15173371055,68910.818266289425,null,null,null,null,null,null,null,null,null,"Adjusted R Square",0.84112538257685765]
["2012-02-05",6,58543,520100.29,519342.02823270886,758.26176729111467,null,null,null,null,null,null,null,null,null,"Standard Error",52423.925261679178]
["2012-02-12",7,60492,620856.28,535404.80687567149,85451.473124328535,null,null,null,null,null,null,null,null,null,"Observations",190]
["2012-02-19",8,59686,593739.46,528762.11852973618,64977.341470263782]
["2012-02-26",9,16432,181948.96,172282.16602963145,9666.7939703685406,null,null,null,null,null,null,null,null,null,"ANOVA"]
["2012-03-04",10,17262,184643.6,179122.65154715785,5520.9484528421599,null,null,null,null,null,null,null,null,null,null,"df","SS","MS","F","Significance F"]
["2012-03-11",11,39118,379373.56,359249.9424761422,20123.6175238578,null,null,null,null,null,null,null,null,null,"Regression",1,2752712827448.4253,2752712827448.4253,1001.6173414323483,3.0462200099371466E-77]
["2012-03-18",12,36078,238687.94,334195.63407459971,-95507.694074599713,null,null,null,null,null,null,null,null,null,"Residual",188,516674372690.31927,2748267939.842124]
["2012-03-25",13,42113,410066.15,383933.38118095131,26132.76881904871,null,null,null,null,null,null,null,null,null,"Total",189,3269387200138.7446]
["2012-04-01",14,50562,413540.78,453566.22712984355,-40025.447129843524]
["2012-04-08",15,38240,340241.6,352013.86261543352,-11772.262615433545,null,null,null,null,null,null,null,null,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%"]
["2012-04-15",16,59870,582843,530278.56351193483,52564.43648806517,null,null,null,null,null,null,null,null,null,"Intercept",36857.035880241834,11194.141821132911,3.2925289378289913,1.1861178583507498E-3,14774.769936467615,58939.301824016053,7727.2711324390511,65986.800628044613]
["2012-04-22",17,46056,433185.92,416429.80816360988,16756.111836390104,null,null,null,null,null,null,null,null,null,"Ad Dollars Spent per Week - Xi",8.2415488162968558,0.26041015608081652,31.648338683607818,3.0462200099374929E-77,7.7278474166790359,8.7552502159146748,7.5639009263753509,8.9191967062183615]
["2012-04-29",18,33349,270770.38,311704.44735492556,-40934.067354925559]
["2012-05-06",19,16207,164421.41999999998,170427.81754596464,-6006.3975459646608]
["2012-05-13",20,57077,478077.5,507259.91766801768,-29182.417668017675]
["2012-05-20",21,30893,393839.09,291463.20346210047,102375.88653789955,null,null,null,null,null,null,null,null,null,"RESIDUAL OUTPUT"]
["2012-05-27",22,54153,430154.06,483161.6289291656,-53007.568929165602]
["2012-06-03",23,14591,210792.82,157109.47465882893,53683.34534117108,null,null,null,null,null,null,null,null,null,"Observation","Predicted Weekly Sales - Yi","Residuals"]
["2012-06-10",24,50138,343808.68,450071.81043173367,-106263.13043173368,null,null,null,null,null,null,null,null,null,1,560739.32793696783,90595.032063032151]
["2012-06-17",25,55253,565510.49,492227.3326270922,73283.157372907794,null,null,null,null,null,null,null,null,null,2,455214.53689310281,72455.883106897119]
["2012-06-24",26,34944,330250.88,324849.71771691908,5401.162283080921,null,null,null,null,null,null,null,null,null,3,456689.77413121995,67061.525868780038]
["2012-07-01",27,26413,295905.03000000003,254541.0647650905,41363.965234909527,null,null,null,null,null,null,null,null,null,4,181883.57040061761,-6416.9604006176232]
["2012-07-08",28,54660,562164.19999999995,487340.09417902812,74824.105820971832,null,null,null,null,null,null,null,null,null,5,309067.15173371066,68910.818266289309]
["2012-07-15",29,35887,257067.99,332621.49825068703,-75553.508250687039,null,null,null,null,null,null,null,null,null,6,519342.02823270869,758.26176729128929]
["2012-07-22",30,42021,384066.95,383175.15868985199,891.7913101480226,null,null,null,null,null,null,null,null,null,7,535404.80687567126,85451.473124328768]
["2012-07-29",31,47349,441576.23,427086.13078308169,14490.099216918286,null,null,null,null,null,null,null,null,null,8,528762.11852973595,64977.341470264015]
["2012-08-05",32,24364,252221.2,237654.13124049822,14567.068759501795,null,null,null,null,null,null,null,null,null,9,172282.16602963177,9666.7939703682205]
["2012-08-12",33,58406,552875.65999999992,518212.93604487617,34662.723955123744,null,null,null,null,null,null,null,null,null,10,179122.65154715817,5520.9484528418398]
["2012-08-19",34,51643,446101.81,462475.34140026045,-16373.531400260457,null,null,null,null,null,null,null,null,null,11,359249.94247614226,20123.617523857742]
["2012-08-26",35,55115,476038.95,491089.99889044318,-15051.04889044317,null,null,null,null,null,null,null,null,null,12,334195.63407459977,-95507.694074599771]
["2012-09-02",36,35416,393889.36,328739.72875821119,65149.631241788797,null,null,null,null,null,null,null,null,null,13,383933.38118095131,26132.76881904871]
["2012-09-09",37,37274,328436.78000000003,344052.52645889076,-15615.746458890731,null,null,null,null,null,null,null,null,null,14,453566.22712984344,-40025.447129843407]
["2012-09-16",38,36148,408949.64,334772.54249174049,74177.097508259525,null,null,null,null,null,null,null,null,null,15,352013.86261543358,-11772.262615433603]
["2012-09-23",39,32192,394776.32000000001,302168.97537447012,92607.344625529891,null,null,null,null,null,null,null,null,null,16,530278.5635119346,52564.436488065403]
["2012-09-30",40,51238,455804.96,459137.51412966027,-3332.554129660246,null,null,null,null,null,null,null,null,null,17,416429.80816360982,16756.111836390162]
["2012-10-07",41,59235,526249.4,525045.1800135863,1204.2199864137219,null,null,null,null,null,null,null,null,null,18,311704.44735492568,-40934.067354925675]
["2012-10-14",42,59329,562602.56000000006,525819.88560231822,36782.67439768184,null,null,null,null,null,null,null,null,null,19,170427.81754596496,-6006.397545964981]
["2012-10-21",43,22739,180749.25,224261.61441401578,-43512.364414015785,null,null,null,null,null,null,null,null,null,20,507259.91766801744,-29182.417668017442]
["2012-10-28",44,28654,275506.98,273010.3756624118,2496.6043375881854,null,null,null,null,null,null,null,null,null,21,291463.20346210059,102375.88653789944]
["2012-11-04",45,36786,372981.08,340030.65063653793,32950.429363462084,null,null,null,null,null,null,null,null,null,22,483161.62892916548,-53007.568929165485]
["2012-11-11",46,20813,216087.74,208388.39139382803,7699.3486061719595,null,null,null,null,null,null,null,null,null,23,157109.47465882928,53683.345341170731]
["2012-11-18",47,57259,470281.06,508759.87955258368,-38478.819552583678,null,null,null,null,null,null,null,null,null,24,450071.81043173361,-106263.13043173362]
["2012-11-25",48,57707,481071.29,512452.0934222847,-31380.80342228472,null,null,null,null,null,null,null,null,null,25,492227.33262709202,73283.157372907968]
["2012-12-02",49,61539,612466.46,544033.7084863343,68432.751513665658,null,null,null,null,null,null,null,null,null,26,324849.71771691914,5401.1622830808628]
["2012-12-09",50,36635,370922.6,338786.17676527705,32136.423234722926,null,null,null,null,null,null,null,null,null,27,254541.06476509068,41363.965234909352]
["2012-12-16",51,39086,448677.2,358986.2129140207,89690.987085979315,null,null,null,null,null,null,null,null,null,28,487340.09417902795,74824.105820972007]
["2012-12-23",52,33062,259282.46,309339.12284464837,-50056.662844648381,null,null,null,null,null,null,null,null,null,29,332621.49825068709,-75553.508250687097]
["2012-12-30",53,42144,354279.67999999999,384188.86919425655,-29909.189194256556,null,null,null,null,null,null,null,null,null,30,383175.15868985199,891.7913101480226]
["2013-01-06",54,18828,185749.88,192028.91699347875,-6279.036993478745,null,null,null,null,null,null,null,null,null,31,427086.13078308164,14490.099216918345]
["2013-01-13",55,57070,415818.7,507202.22682630358,-91383.526826303569,null,null,null,null,null,null,null,null,null,32,237654.13124049842,14567.068759501592]
["2013-01-20",56,27991,252095.02,267546.22879720695,-15451.208797206957,null,null,null,null,null,null,null,null,null,33,518212.936044876,34662.723955123918]
["2013-01-27",57,37876,329524.88,349013.93884630146,-19489.058846301457,null,null,null,null,null,null,null,null,null,34,462475.34140026034,-16373.531400260341]
["2013-02-03",58,16134,233120.9,169826.18448237499,63294.715517625009,null,null,null,null,null,null,null,null,null,35,491089.99889044306,-15051.048890443053]
["2013-02-10",59,55466,376140.08,493982.78252496338,-117842.70252496336,null,null,null,null,null,null,null,null,null,36,328739.72875821131,65149.63124178868]
["2013-02-17",60,26100,208166,251961.45998558958,-43795.459985589579,null,null,null,null,null,null,null,null,null,37,344052.52645889082,-15615.74645889079]
["2013-02-24",61,23787,226261.67,232898.75757349492,-6637.0875734949077,null,null,null,null,null,null,null,null,null,38,334772.54249174055,74177.097508259467]
["2013-03-03",62,30895,249581.7,291479.68655973306,-41897.98655973305,null,null,null,null,null,null,null,null,null,39,302168.97537447023,92607.344625529775]
["2013-03-10",63,31845,278010.2,299309.1579352151,-21298.95793521509,null,null,null,null,null,null,null,null,null,40,459137.51412966015,-3332.5541296601295]
["2013-03-17",64,50618,537451.34000000008,454027.75386355619,83423.58613644389,null,null,null,null,null,null,null,null,null,41,525045.18001358607,1204.2199864139548]
["2013-03-24",65,62293,448052.27,550247.83629382215,-102195.56629382214,null,null,null,null,null,null,null,null,null,42,525819.88560231798,36782.674397682073]
["2013-03-31",66,61228,519618.76,{"$f":"FORECAST(C67,$D$2:$D$191,$C$2:$C$191)","v":541470.58680446597},{"$f":"D67-E67","v":-21851.826804465964},null,null,null,null,null,null,null,null,null,43,224261.61441401605,-43512.364414016047]
["2013-04-07",67,32558,364510.28,305185.38224123477,59324.897758765263,null,null,null,null,null,null,null,null,null,44,273010.37566241191,2496.604337588069]
["2013-04-14",68,40694,351135.6,372238.62341062608,-21103.023410626105,null,null,null,null,null,null,null,null,null,45,340030.65063653799,32950.429363462026]
["2013-04-21",69,46333,390547.55,418712.71718572412,-28165.167185724131,null,null,null,null,null,null,null,null,null,46,208388.39139382829,7699.3486061716976]
["2013-04-28",70,28415,234129.2,271040.64549531683,-36911.445495316817,null,null,null,null,null,null,null,null,null,47,508759.8795525835,-38478.819552583504]
["2013-05-05",71,19993,224538.89,201630.32136446459,22908.568635535426,null,null,null,null,null,null,null,null,null,48,512452.09342228447,-31380.803422284487]
["2013-05-12",72,34414,248912.92,320481.69684428175,-71568.776844281732,null,null,null,null,null,null,null,null,null,49,544033.70848633396,68432.751513666008]
["2013-05-19",73,52078,328096.52,466060.41513534961,-137963.89513534959,null,null,null,null,null,null,null,null,null,50,338786.17676527717,32136.42323472281]
["2013-05-26",74,24507,262965.82999999996,238832.67272122865,24133.157278771308,null,null,null,null,null,null,null,null,null,51,358986.21291402075,89690.987085979257]
["2013-06-02",75,28516,334304.52,271873.04192576278,62431.478074237239,null,null,null,null,null,null,null,null,null,52,309339.12284464849,-50056.662844648497]
["2013-06-09",76,17554,216060.84,181529.18380151654,34531.656198483455,null,null,null,null,null,null,null,null,null,53,384188.86919425655,-29909.189194256556]
["2013-06-16",77,16662,183462.62,174177.72225737973,9284.8977426202619,null,null,null,null,null,null,null,null,null,54,192028.91699347904,-6279.036993479036]
["2013-06-23",78,57162,517013.54,507960.4493174029,9053.0906825970742,null,null,null,null,null,null,null,null,null,55,507202.22682630341,-91383.526826303394]
["2013-06-30",79,57297,731834.3,509073.05840760295,222761.2415923971,null,null,null,null,null,null,null,null,null,56,267546.22879720712,-15451.208797207131]
["2013-07-07",80,64112,439159.84,565239.21359066607,-126079.37359066604,null,null,null,null,null,null,null,null,null,57,349013.93884630152,-19489.058846301516]
["2013-07-14",81,37237,453649.08,343747.58915268781,109901.49084731221,null,null,null,null,null,null,null,null,null,58,169826.18448237531,63294.715517624689]
["2013-07-21",82,55058,495969.8,490620.23060791427,5349.5693920857157,null,null,null,null,null,null,null,null,null,59,493982.78252496326,-117842.70252496324]
["2013-07-28",83,30791,306489.03000000003,290622.5654828382,15866.464517161832,null,null,null,null,null,null,null,null,null,60,251961.45998558978,-43795.459985589783]
["2013-08-04",84,19784,226868.96,199907.83766185856,26961.122338141431,null,null,null,null,null,null,null,null,null,61,232898.75757349515,-6637.0875734951405]
["2013-08-11",85,32463,316845.86,304402.43510368653,12443.42489631346,null,null,null,null,null,null,null,null,null,62,291479.68655973324,-41897.986559733225]
["2013-08-18",86,59364,496417.28000000003,526108.33981088852,-29691.059810888488,null,null,null,null,null,null,null,null,null,63,299309.15793521522,-21298.957935215207]
["2013-08-25",87,64632,527881.68000000005,569524.81897514046,-41643.138975140406,null,null,null,null,null,null,null,null,null,64,454027.75386355608,83423.586136444006]
["2013-09-01",88,58106,535766.15999999992,515740.47139998712,20025.6886000128,null,null,null,null,null,null,null,null,null,65,550247.83629382192,-102195.5662938219]
["2013-09-08",89,60333,469314.35,534094.40061388025,-64780.050613880274,null,null,null,null,null,null,null,null,null,66,541470.58680446574,-21851.826804465731]
["2013-09-15",90,58353,558254.63,517776.13395761244,40478.49604238756,null,null,null,null,null,null,null,null,null,67,305185.38224123488,59324.897758765146]
["2013-09-22",91,22672,197141.28,223709.4306433239,-26568.150643323897,null,null,null,null,null,null,null,null,null,68,372238.62341062608,-21103.023410626105]
["2013-09-29",92,64325,563313.5,566994.66348853731,-3681.163488537306,null,null,null,null,null,null,null,null,null,69,418712.71718572406,-28165.167185724073]
["2013-10-06",93,32326,365825.02,303273.34291585389,62551.677084146126,null,null,null,null,null,null,null,null,null,70,271040.645495317,-36911.445495316992]
["2013-10-13",94,16138,206538.6,169859.15067764017,36679.44932235984,null,null,null,null,null,null,null,null,null,71,201630.32136446488,22908.568635535135]
["2013-10-20",95,34957,320916.75,324956.85785153095,-4040.1078515309491,null,null,null,null,null,null,null,null,null,72,320481.6968442818,-71568.776844281791]
["2013-10-27",96,26159,294325.06,252447.71136575108,41877.34863424892,null,null,null,null,null,null,null,null,null,73,466060.4151353495,-137963.89513534948]
["2013-11-03",97,42098,329951.7,383809.75794870686,-53858.057948706846,null,null,null,null,null,null,null,null,null,74,238832.67272122888,24133.157278771076]
["2013-11-10",98,20582,161277.70000000001,206484.59361726345,-45206.893617263442,null,null,null,null,null,null,null,null,null,75,271873.04192576301,62431.478074237006]
["2013-11-17",99,45614,428140.06,412787.04358680669,15353.016413193312,null,null,null,null,null,null,null,null,null,76,181529.18380151683,34531.656198483164]
["2013-11-24",100,42729,433279.13,389010.17525179021,44268.954748209799,null,null,null,null,null,null,null,null,null,77,174177.72225738005,9284.8977426199417]
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["2013-12-08",102,51749,540063.03,463348.94557478797,76714.084425212059,null,null,null,null,null,null,null,null,null,79,509073.05840760277,222761.24159239727]
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["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)"]
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{"sheet":"Hypothesis Test (an)","index":42,"n_rows":214,"n_cols":13,"rows_kept":214,"cut":false,"hidden":false,"merged":[]}
["ith Sample Point","Weekly $ Ad Expense (x)","Weekly $ Sales (y)",null,"SUMMARY OUTPUT"]
[1,63566,651334.36]
[2,50762,527670.41999999993,null,"Regression Statistics"]
[3,50941,523751.3,null,"Multiple R",0.9175870471068398]
[4,17597,175466.61,null,"R Square",0.84196598901824993]
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[15,38240,340241.6,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%"]
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[17,46056,433185.92,null,"Weekly $ Ad Expense (x)",8.2415488162968558,0.26041015608081652,31.648338683607818,3.0462200099374929E-77,7.7278474166790359,8.7552502159146748,7.5639009263753509,8.9191967062183615]
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[20,57077,478077.5,null,null,null,null,null,"First we look at the residual plot to see if the assumptions of the Least Squares Method are met. "]
[21,30893,393839.09,null,"RESIDUAL OUTPUT",null,null,null,"It appears that the assumptions are met. The plot does NOT provide evidence of a violation of the conditions necessary for valid inference in regression."]
[22,54153,430154.06,null,null,null,null,null,"Because the p-value for the F Test Statistic is less than 0.01, we reject H0 and accept Ha. "]
[23,14591,210792.82,null,"Observation","Predicted Weekly $ Sales (y)","Residuals",null,"It is reasonable to assume that the slope is not zero and that there is a significant relationship between x and y."]
[24,50138,343808.68,null,1,560739.32793696783,90595.032063032151,null,"A linear relationship explains a statistically significant portion of the variability in y over the Experimental Region."]
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[26,34944,330250.88,null,3,456689.77413121995,67061.525868780038,null,"Similarly, p-value for Y-Intercept is less than 0,01 and so we conclude it is not zero."]
[27,26413,295905.03000000003,null,4,181883.57040061761,-6416.9604006176232,null,"However, the Y-Intercept value is not in our Experimental Region."]
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[140,24504,198984.32000000001,null,117,457991.93884419487,25838.571155805141]
[141,21816,210783.92,null,118,373433.64798898913,-80474.927988989162]
[142,28370,246604.1,null,119,282232.66878784809,-7148.7887878480833]
[143,46733,430873.95,null,120,539212.40242880036,60592.677571199602]
[144,46568,393671.84,null,121,480417.1931733386,44275.206826661422]
[145,42540,363945.2,null,122,196454.62870783044,-442.52870783043909]
[146,39348,275857.52,null,123,359175.76853679557,958.60146320442436]
[147,34125,350641.25,null,124,370137.02846247039,-58092.308462470421]
[148,61572,580750.64,null,125,326275.50566213852,-58198.935662138509]
[149,54730,410123.4,null,126,454077.20315645385,-59834.003156453837]
[150,38799,332068.73,null,127,491576.25027060456,-16736.450270604575]
[151,22293,208949.09,null,128,467708.72489860887,6788.635101391119]
[152,37202,346499.94,null,129,288694.04305982485,12484.496940175188]
[153,53171,474836.29,null,130,549028.0870690099,93213.76293099008]
[154,33287,255380.79,null,131,515740.47139998694,-40404.551399986958]
[155,35445,237858.5,null,132,492062.50165076606,51168.188349233882]
[156,21723,224001.23,null,133,462557.75688842335,-119168.71688842337]
[157,40939,439329.89,null,134,170543.19922939313,25445.800770606875]
[158,45048,362182.64,null,135,272054.35599972151,23087.064000278537]
[159,30296,299639.04000000004,null,136,313328.03247173614,41940.56752826384]
[160,53521,457210.54,null,137,453376.67150706862,51979.718492931395]
[161,24680,209679.6,null,138,157818.24785703077,22953.822142969235]
[162,46956,426587.12,null,139,167361.96138630254,-20610.111386302538]
[163,16392,200150.72,null,140,238807.94807478,-39823.62807477999]
[164,53761,534924.22,null,141,216654.66485657403,-5870.7448565740196]
[165,56104,460681.28,null,142,270669.77579858364,-24065.67579858363]
[166,15241,151200.24,null,143,422009.3367122428,8864.613287757209]
[167,19284,212426.64,null,144,420649.48115755379,-26977.641157553764]
[168,14673,181763.54,null,145,387452.52252551005,-23507.322525510041]
[169,57793,497895.75,null,146,361145.49870389054,-85287.97870389052]
[170,28259,242161.2,null,147,318099.88923637202,32541.360763627978]
[171,30304,206671.68,null,148,544305.67959727184,36444.960402728175]
[172,62568,496735.52,null,149,487917.00259616878,-77793.602596168756]
[173,56139,513074.17,null,150,356620.88840374356,-24552.158403743582]
[174,23120,214614.39999999999,null,151,220585.88364194764,-11636.793641947646]
[175,17006,110924.66,null,152,343459.13494411745,3040.8050558825489]
[176,31596,329940.56,null,153,475068.42799156194,-232.13799156196183]
[177,40607,363486.04,null,154,311193.47132831527,-55812.681328315259]
[178,61771,569494.11,null,155,328978.73367388389,-91120.233673883893]
[179,30412,279610.59999999998,null,156,215888.20081665844,8113.0291833415686]
[180,36947,361463.21,null,157,374257.80287061882,65072.087129381194]
[181,43194,395552,null,158,408122.32695678261,-45939.686956782592]
[182,56866,492417.48,null,159,286542.99881877139,13096.041181228647]
[183,39851,367213.96,null,160,477952.97007726587,-20742.43007726589]
[184,36617,312177.71999999997,null,161,240258.46066644823,-30578.860666448221]
[185,46438,331878.65999999997,null,162,423847.20209827699,2739.9179017230053]
[186,27520,266032,null,163,171952.50407697988,28198.215923020121]
[187,28852,311399.12,null,164,479930.9417931771,54993.27820682287]
[188,60878,505367.44,null,165,499240.89066976064,-38559.610669760616]
[189,32779,211928.26,null,166,162466.4813894222,-11266.241389422212]
[190,49959,401211.77,null,167,195787.0632537104,16639.576746289618]
[null,null,null,null,168,157785.28166176559,23978.258338234416]
[null,null,null,null,169,513160.86662048602,-15265.11662048602]
[null,null,null,null,170,269754.96387997468,-27593.763879974664]
[null,null,null,null,171,286608.93120930175,-79937.251209301758]
[null,null,null,null,172,552514.26221830351,-55778.742218303494]
[null,null,null,null,173,499529.344878331,13544.825121668982]
[null,null,null,null,174,227401.64451302515,-12787.244513025158]
[null,null,null,null,175,177012.81505018615,-66088.155050186149]
[null,null,null,null,176,297257.0122799573,32683.547720042698]
[null,null,null,null,177,371521.60866360826,-8035.5686636082828]
[null,null,null,null,178,545945.74781171489,23548.3621882851]
[null,null,null,null,179,287499.0184814618,-7888.4184814618202]
[null,null,null,null,180,341357.53999596176,20105.670004038257]
[null,null,null,null,181,392842.49545136822,2709.5045486317831]
[null,null,null,null,182,505520.95086777885,-13103.470867778873]
[null,null,null,null,183,365290.99775848782,1922.9622415121994]
[null,null,null,null,184,338637.8288865838,-26460.108886583825]
[null,null,null,null,185,419578.07981143525,-87699.419811435277]
[null,null,null,null,186,263664.45930473134,2367.5406952686608]
[null,null,null,null,187,274642.20232803875,36756.917671961244]
[null,null,null,null,188,538586.04471876181,-33218.60471876181]
[null,null,null,null,189,307006.76452963648,-95078.50452963647]
[null,null,null,null,190,448596.57319361647,-47384.803193616448]

{"sheet":"Formulas (2)","index":43,"n_rows":276,"n_cols":25,"rows_kept":276,"cut":false,"hidden":false,"merged":[]}
["Linear Relationship Between Weekly Sales and Weekly Ad Expenditures: As x increase, y increases",null,null,null,null,null,null,null,"Σ(Yi - Ybar)^2",null,null,null,"Σ(Yhat - Ybar)^2","Σ(Yi - Yhat)^2"]
[null,null,"Σ(Xi)","Σ(Yi)",null,null,"Σ((Xi - Xbar)*\n(Yi - Ybar))","Σ(Xi - Xbar)^2","SST",null,null,null,"SSE","SSR"]
[null,"Column Totals",{"$f":"SUM(WeeklyAdExpenseX)","v":7681610},{"$f":"SUM(WeeklySalesY)","v":70311200.620000035},{"$f":"SUM(E7:E196)","v":4.5110937207937241E-10},-3.8911821320652962E-8,334004310209.89691,40526886105.368401,3269387200138.7446,70311200.620000049,3.3527612686157227E-8,-4.0454324334859848E-9,{"$f":"SUM(M7:M196)","v":516674372690.31818},2752712827448.4297,null,null,"Count = n",{"$f":"COUNT(WeeklyAdExpenseX)","v":190},{"$f":"IF(_xlfn.ISFORMULA(R3),_xlfn.FORMULATEXT(R3),\"\")","v":"=COUNT(WeeklyAdExpenseX)"}]
[null,null,null,null,null,null,null,null,{"$f":"M3+N3","v":3269387200138.748},null,null,null,null,null,null,null,"df when 1 parameter is estimated = n - 1",{"$f":"R3-1","v":189},{"$f":"IF(_xlfn.ISFORMULA(R4),_xlfn.FORMULATEXT(R4),\"\")","v":"=R3-1"},null,null,"df = n - # parameters estimated"]
[null,null,"Ad Dollars Spent per Week - Xi","Weekly Sales - Yi","Deviations","Deviations",null,null,"SST = SSR + SSE",null,"Residual",null,"Sum of Squares Error (Residual)","Sum of Squares Regression",null,{"$f":"AVERAGE(C7:C196)","v":40429.526315789473},"Xbar",{"$f":"C3/R3","v":40429.526315789473},"=C3/R3",null,null,"Σ(Xi)/(n-1)"]
["Date","ith Value","WeeklyAdExpenseX","WeeklySalesY","Xi - Xbar","Yi - Ybar","(Xi - Xbar)*\n(Yi - Ybar)",{"$f":"\"(\"&E6&\")^2\"","v":"(Xi - Xbar)^2"},{"$f":"\"(\"&F6&\")^2\"","v":"(Yi - Ybar)^2"},"Yhat = b1*xi + b0","Residual = \n(Yi - Yhat)","Regression part of Total Error\n(Yhat - Ybar)","Unexplained part of Total Error","Explained part of Total Error",null,{"$f":"AVERAGE(D7:D196)","v":370058.95063157915},"Ybar",{"$f":"D3/R3","v":370058.95063157915},"=D3/R3",null,null,"Σ(Yi)/(n-1)"]
["2012-01-01",1,63566,651334.36,{"$f":"C7-Xbar","v":23136.473684210527},{"$f":"D7-Ybar","v":281275.40936842083},{"$f":"E7*F7","v":6507721106.8680115},{"$f":"E7^2","v":535296414.5401662},79115855915.372726,{"$f":"Slopeb1*C7+YInterceptb0","v":560739.32793696807},{"$f":"J7-D7","v":-90595.032063031918},{"$f":"J7-Ybar","v":190680.37730538892},{"$f":"K7^2","v":8207459834.5017815},36359006289.325478,null,{"$f":"_xlfn.STDEV.S(C7:C196)","v":14643.359205164403},"Sx",{"$f":"SQRT(H3/R4)","v":14643.359205164401},"=SQRT(H3/R4)",null,null,"Σ((Xi - Xbar)^2)/(n-1)"]
["2012-01-08",2,50762,527670.41999999993,10332.473684210527,157611.46936842077,{"$f":"E8*F8","v":1628516359.5789611},106760012.43490306,24841375276.472641,455214.53689310292,-72455.883106897003,85155.586261523771,5249854996.8003225,7251473871.5438156,null,{"$f":"_xlfn.STDEV.S(D7:D196)","v":131523.17276540631},"Sy",{"$f":"SQRT(I3/R4)","v":131523.1727654069},"=SQRT(I3/R4)",null,null,"Σ((Yi - Ybar)^2)/(n-1)"]
["2012-01-15",3,50941,523751.3,10511.473684210527,153692.34936842084,1615533085.850646,110491079.01385042,23621338254.384727,456689.77413122007,-67061.525868779921,86630.823499640916,4497248251.8490381,7504899580.2259369,null,{"$f":"_xlfn.COVARIANCE.S(D7:D196,C7:C196)","v":1767218572.5391371},"Covariance = sxy",{"$f":"G3/R4","v":1767218572.5391371},"=G3/R4",null,null,"Σ((Xi - Xbar)*(Yi - Ybar))/(n-1)"]
["2012-01-22",4,17597,175466.61,-22832.526315789473,-194592.34063157917,4443034738.3216009,521324257.96121883,37866179032.476532,181883.57040061729,6416.9604006173031,-188175.38023096186,41177380.783090577,35409973725.06707,null,{"$f":"PEARSON(WeeklySalesY,WeeklyAdExpenseX)","v":0.91758704710684036},"C. of Correlation = rxy",{"$f":"R9/PRODUCT(R7:R8)","v":0.91758704710684047},"=R9/PRODUCT(R7:R8)",null,null,"sxy/(sx*sy)"]
["2012-01-29",5,33029,377977.97,-7400.5263157894733,7919.0193684208207,-58604911.231244817,54767789.750692517,62710867.757424094,309067.15173371055,-68910.818266289425,-60991.798897868604,4748700874.1295681,3719999532.7980461,null,null,"Type of relationship?","Direct: As x increases, y increases. Strong."]
["2012-02-05",6,58543,520100.29,18113.473684210527,150041.33936842083,2717769852.1935916,328097928.90858728,22512403519.469631,519342.02823270886,-758.26176729111467,149283.07760112971,574960.90773544449,22285437258.064915,null,{"$f":"SLOPE(WeeklySalesY,WeeklyAdExpenseX)","v":8.2415488162968682},"Slopeb1",{"$f":"G3/H3","v":8.2415488162968682},{"$f":"IF(_xlfn.ISFORMULA(R12),_xlfn.FORMULATEXT(R12),\"\")","v":"=G3/H3"},null,null,"Σ((Xi - Xbar)*(Yi - Ybar))/Σ((Xi - Xbar)^2)"]
["2012-02-12",7,60492,620856.28,20062.473684210527,250797.32936842088,5031614820.5242233,402502850.32963991,62899300418.332184,535404.80687567149,-85451.473124328535,165345.85624409234,7301954259.1178417,27339252177.092049,null,{"$f":"INTERCEPT(WeeklySalesY,WeeklyAdExpenseX)","v":36857.03588024131},"YInterceptb0",{"$f":"Ybar-R12*Xbar","v":36857.03588024131},{"$f":"IF(_xlfn.ISFORMULA(R13),_xlfn.FORMULATEXT(R13),\"\")","v":"=Ybar-R12*Xbar"},null,null,"Ybar-b1 - Xbar"]
["2012-02-19",8,59686,593739.46,19256.473684210527,223680.50936842081,4307297842.323802,370811778.75069255,50032970271.316193,528762.11852973618,-64977.341470263782,158703.16789815703,4222054904.5432615,25186695500.910622,null,null,"Min x",{"$f":"MIN(WeeklyAdExpenseX)","v":14591},{"$f":"IF(_xlfn.ISFORMULA(R14),_xlfn.FORMULATEXT(R14),\"\")","v":"=MIN(WeeklyAdExpenseX)"}]
["2012-02-26",9,16432,181948.96,-23997.526315789473,-188109.99063157916,4514174450.444232,575881269.2770083,35385368575.412796,172282.16602963145,-9666.7939703685406,-197776.7846019477,93446905.66555357,39115656527.485214,null,null,"Max x",{"$f":"MAX(WeeklyAdExpenseX)","v":64717},{"$f":"IF(_xlfn.ISFORMULA(R15),_xlfn.FORMULATEXT(R15),\"\")","v":"=MAX(WeeklyAdExpenseX)"}]
["2012-03-04",10,17262,184643.6,-23167.526315789473,-185415.35063157915,4295615015.1084423,536734275.59279776,34378852249.831436,179122.65154715785,-5520.9484528421599,-190936.29908442131,30480871.818940241,36456670308.055588,null,null,"Yhat = ŷ = Predicted Value","Yhat = 8.24*x + 36,857"]
["2012-03-11",11,39118,379373.56,-1311.5263157894733,9314.6093684208463,-12216355.307983106,1720101.2770083093,86761947.686273396,359249.9424761422,-20123.6175238578,-10809.008155436954,404959982.2465167,116834657.30430257,null,null,"Experimental Region?","The sample data provides evidence that there is a direct relation between x = about 14,000 and 65,000 $ spent on ads."]
["2012-03-18",12,36078,238687.94,-4351.5263157894733,-131371.01063157915,571664409.89517534,18935781.277008306,17258342434.36248,334195.63407459971,95507.694074599713,-35863.316556979436,9121719627.4473286,1286177474.4661155,null,null,"What does slope mean?","For every $1 of Ad Expense, the Estimated Equation predicts that the Weekly Sales will increase by $8.24."]
["2012-03-25",13,42113,410066.15,1683.4736842105267,40007.199368420872,67351067.315700546,2834083.6454293639,1600576001.3045754,383933.38118095131,-26132.76881904871,13874.430549372162,682921606.14984453,192499823.06935152,null,null,"What does y-Intercept mean?","At x = 0 the Estimated Equation predicts that the weekly sales will be $36,857. Because 0 is not in the"]
["2012-04-01",14,50562,413540.78,10132.473684210527,43481.829368420877,440578491.81685698,102667022.96121885,1890669485.2244682,453566.22712984355,40025.447129843524,83507.2764982644,1602036417.9438992,6973465228.1575823,null,null,null,"Experimental Region, an extrapolation like this provides an unreliable estimate (not based on sample evidence)."]
["2012-04-08",15,38240,340241.6,-2189.5263157894733,-29817.350631579175,65285873.874964476,4794025.4875346245,889074398.686535,352013.86261543352,11772.262615433545,-18045.08801614563,138586167.08673424,325625201.51044261,null,null,"x to predict",50000,null,"Weekly Amount spent on ads."]
["2012-04-15",16,59870,582843,19440.473684210527,212784.04936842085,4136622712.1665392,377932017.06648201,45277051665.622559,530278.56351193483,-52564.43648806517,160219.61288035568,2763019983.307837,25670324351.531036,null,null,"Yhat = ŷ = Predicted Value",{"$f":"R12*R21+R13","v":448934.47669508471},null,"Weekly Sales"]
["2012-04-22",17,46056,433185.92,5626.4736842105267,63126.969368420832,355182231.91538382,{"$f":"E23^2","v":31657206.119113579},3985014261.641542,416429.80816360988,-16756.111836390104,46370.857532030728,{"$f":"K23^2","v":280767283.87361252},2150256428.2558908]
["2012-04-29",18,33349,270770.38,-7080.5263157894733,-99288.570631579147,703015337.21401799,50133852.908587255,9858220258.0620804,311704.44735492556,40934.067354925559,-58354.503276653588,1675597870.2175822,3405248052.6649742,null,null,"Xi",63566,"Weekly Amount spent on ads."]
["2012-05-06",19,16207,164421.41999999998,-24222.526315789473,-205637.53063157917,4981060497.2373905,586730781.11911356,42286794004.253662,170427.81754596464,6006.3975459646608,-199631.13308561451,36076811.480170302,39852589297.046333,null,null,"Yi",651334,"Weekly Sales"]
["2012-05-13",20,57077,478077.5,16647.473684210527,108018.54936842085,1798235958.0173817,277138380.06648201,11668007007.657972,507259.91766801768,29182.417668017675,137200.96703643852,851613500.95063019,18824105355.733891,null,null,"Yhat",{"$f":"Slopeb1*R24+YInterceptb0","v":560739.32793696807}]
["2012-05-20",21,30893,393839.09,-9536.5263157894733,23780.139368420874,-226779924.88008693,90945334.171745151,565495028.38152039,291463.20346210047,-102375.88653789955,-78595.74716947868,10480822144.420883,6177291473.1286163,null,null,"Ybar",{"$f":"Ybar","v":370058.95063157915}]
["2012-05-27",22,54153,430154.06,13723.473684210527,60095.109368420846,824713651.96727693,188333729.96121883,3611422170.0024629,483161.6289291656,53007.568929165602,113102.67829758645,2809802363.7802424,12792215838.087332,null,null,"Yi - Ybar",{"$f":"R25-R27","v":281275.04936842085},"Total Error in using Ybar as estimator"]
["2012-06-03",23,14591,210792.82,-25838.526315789473,-159266.13063157914,4115202107.5380216,667629442.17174518,25365700366.355232,157109.47465882893,-53683.34534117108,-212949.47597275022,2881901567.0194345,45347479317.068924,null,null,"Yhat - Ybar",{"$f":"R26-R27","v":190680.37730538892},"Amount of Total Error in using Ybar \"Explained\" by Estimated Regression Equation"]
["2012-06-10",24,50138,343808.68,9708.4736842105267,-26250.270631579158,-254850061.63009071,94254461.277008325,689076708.23114729,450071.81043173367,106263.13043173368,80012.859800154518,11291852889.151644,6402057733.3991833,null,null,"Yi - Yhat",{"$f":"R25-R26","v":90594.672063031932},"Amount of Total Error in using Ybar that is \"Unexplained\" by Estimated Regression Equation"]
["2012-06-17",25,55253,565510.49,14823.473684210527,195451.53936842084,2897270750.3662243,219735372.06648201,38201304241.485359,492227.3326270922,-73283.157372907794,122168.38199551305,5370421154.5423698,14925113559.401596]
["2012-06-24",26,34944,330250.88,-5485.5263157894733,-39808.070631579147,218368219.03033349,30090998.961218834,1584682487.4087942,324849.71771691908,-5401.162283080921,-45209.232914660068,29172554.008175906,2043874740.7319832,null,null,"Regression Statistics"]
["2012-07-01",27,26413,295905.03000000003,-14016.526315789473,-74153.920631579123,1039380379.9514928,196463009.96121883,5498803945.0345364,254541.0647650905,-41363.965234909527,-115517.88586648865,1710977619.9548039,13344381955.063099,null,null,"Multiple R",{"$f":"R10","v":0.91758704710684047},{"$f":"IF(_xlfn.ISFORMULA(R33),_xlfn.FORMULATEXT(R33),\"\")","v":"=R10"},null,"C. of Correlation"]
["2012-07-08",28,54660,562164.19999999995,14230.473684210527,192105.2493684208,2733748695.7360129,202506381.27700832,36904426834.903137,487340.09417902812,-74824.105820971832,117281.14354744897,5598646811.9079905,13754866631.797331,null,{"$f":"RSQ(WeeklySalesY,WeeklyAdExpenseX)","v":0.84196598901825104},"R Square = R^2 = C. of Determination",{"$f":"S41/S43","v":0.84196598901825137},{"$f":"IF(_xlfn.ISFORMULA(R34),_xlfn.FORMULATEXT(R34),\"\")","v":"=S41/S43"},"SSR/SST = 1-SSE/SST","Goodness of fit of Estimated Regression Equation to the Sample Data Points"]
["2012-07-15",29,35887,257067.99,-4542.5263157894733,-112990.96063157916,513264412.11528069,20634545.329639886,12766957184.447071,332621.49825068703,75553.508250687039,-37437.452380892122,5708332608.9866343,1401562840.7715652,null,null,"Adjusted R Square",{"$f":"1-(R43/R42)*(S42/S43)","v":0.84112538257685809},"=1-(R43/R42)*(S42/S43)","1-(dfSST/dfSSE)*(SSE/SST)","Used when Multiple Independent Variables"]
["2012-07-22",30,42021,384066.95,1591.4736842105267,14007.99936842086,22293362.363279477,2532788.4875346273,196224046.30567923,383175.15868985199,-891.7913101480226,13116.208058272838,795291.74085552664,172034913.82790133,null,null,"Standard Error = s",{"$f":"SQRT(T42)","v":52423.925261679113},"=SQRT(T42)","SQRT(MSE) = SQRT(SSE/(n-df))","Estimated Standard Deviation for Regression Line"]
["2012-07-29",31,47349,441576.23,6919.4736842105267,71517.27936842083,494861932.5561204,47879116.066482,5114721248.2607517,427086.13078308169,-14490.099216918286,57027.180151502544,209962975.31613594,3252099276.0319257,null,null,"Observations",{"$f":"R3","v":190},"=R3"]
["2012-08-05",32,24364,252221.2,-16065.526315789473,-117837.75063157914,1893125483.7650723,258101135.80332407,13885735473.910231,237654.13124049822,-14567.068759501795,-132404.81939108094,212199492.24405318,17531036197.98476]
["2012-08-12",33,58406,552875.65999999992,{"$f":"C39-Xbar","v":17976.473684210527},{"$f":"D39-Ybar","v":182816.70936842076},3286399764.9953799,323153606.11911356,33421949224.297626,{"$f":"Slopeb1*C39+YInterceptb0","v":518212.93604487617},-34662.723955123744,{"$f":"J39-Ybar","v":148153.98541329702},1201504431.9891095,21949603393.843426,null,null,"ANOVA","df = n - # parameters estimated"]
["2012-08-19",34,51643,446101.81,11213.473684210527,76042.859368420846,852704602.39990902,125741992.06648201,5782516460.9254303,462475.34140026045,16373.531400260457,92416.390768681304,268092530.51531518,8540789282.7096033,null,null,null,"df","SS","MS = SS/df = Variance","F = MSR/MSE","Significance F = p-value"]
["2012-08-26",35,55115,476038.95,14685.473684210527,105979.99936842086,1556366491.7775929,215663137.32963991,11231760266.130486,491089.99889044318,15051.04889044317,121031.04825886403,226534072.70251057,14648514642.639473,null,"q","Regression = SSR = Σ((Yi - Yhat)^2)",1,{"$f":"SSR","v":2752712827448.4297},{"$f":"S41/R41","v":2752712827448.4297},{"$f":"T41/T42","v":1001.6173414323522},{"$f":"_xlfn.F.DIST.RT(U41,R41,R42)","v":3.0462200099362802E-77},null,null,"If p-value of F is smaller than alpha, conclude that at least 1"]
["2012-09-02",36,35416,393889.36,-5013.5263157894733,23830.409368420835,-119474384.48461385,25135446.119113568,567888410.66651952,328739.72875821119,-65149.631241788797,-41319.221873367962,4244474450.9410629,1707278096.2206094,null,"n - 1 - q","Residual = SSE = Σ((Yi - Yhat)^2)",{"$f":"R4-R41","v":188},{"$f":"SSE","v":516674372690.31818},{"$f":"S42/R42","v":2748267939.8421178},null,null,null,null,"slope not equal to zero AND relationship between x and y is"]
["2012-09-09",37,37274,328436.78000000003,-3155.5263157894733,-41622.170631579123,131339854.74822769,9957346.3296398874,1732405088.0842876,344052.52645889076,15615.746458890731,-26006.424172688392,243851537.46835843,676334098.24979115,null,"n-1","Total = SST = Σ((Yi - Ybar)^2)",{"$f":"R4","v":189},{"$f":"SST","v":3269387200138.7446},null,null,null,null,null,"significant."]
["2012-09-16",38,36148,408949.64,-4281.5263157894733,38890.689368420863,-166511509.97008783,18331467.592797782,1512485719.5510035,334772.54249174049,-74177.097508259525,-35286.408139838662,5502241794.7498417,1245130599.4112723,null,null,null,null,null,null,null,0.95]
["2012-09-23",39,32192,394776.32000000001,-8237.5263157894733,24717.369368420856,-203609980.62945542,67856839.803324088,610948348.49494958,302168.97537447012,-92607.344625529891,-67889.975257109036,8576120278.5916605,4609048740.4108772,null,null,null,"Coefficients","Standard Error","t Stat","P-value",{"$f":"\"Lower \"&TEXT($V$44,\"0%\")","v":"Lower 95%"},{"$f":"\"Lower \"&TEXT($V$44,\"0%\")","v":"Lower 95%"}]
["2012-09-30",40,51238,455804.96,10808.473684210527,85746.00936842087,926783485.78464627,116823103.38227148,7352378122.6093197,459137.51412966027,3332.554129660246,89078.563498081116,11105917.027115559,7934990474.881669,null,null,"Intercept",{"$f":"YInterceptb0","v":36857.03588024131},{"$f":"R36*SQRT(SUMSQ(WeeklyAdExpenseX)/(R3*H3))","v":11194.141821132907},{"$f":"R46/S46","v":3.2925289378289455},{"$f":"_xlfn.T.DIST.2T(ABS(T46),$R$42)","v":1.1861178583509203E-3},{"$f":"$R46-_xlfn.T.INV.2T(1-$V$44,$R$42)*S46","v":14774.769936467099},{"$f":"$R46+_xlfn.T.INV.2T(1-$V$44,$R$42)*S46","v":58939.301824015522}]
["2012-10-07",41,59235,526249.4,18805.473684210527,156190.44936842087,2937235385.3228555,353645840.48753464,24395456473.909245,525045.1800135863,-1204.2199864137219,154986.22938200715,1450145.7756782647,24020731298.052135,null,null,"Ad Dollars Spent per Week - Xi",{"$f":"Slopeb1","v":8.2415488162968682},{"$f":"R36/SQRT(H3)","v":0.2604101560808163},31.648338683607896,{"$f":"_xlfn.T.DIST.2T(ABS(T47),$R$42)","v":3.0462200099362802E-77},{"$f":"$R47-_xlfn.T.INV.2T(1-$V$44,$R$42)*S47","v":7.7278474166790492},{"$f":"$R47+_xlfn.T.INV.2T(1-$V$44,$R$42)*S47","v":8.7552502159146872}]
["2012-10-14",42,59329,562602.56000000006,18899.473684210527,192543.6093684209,3638972878.3213825,357190105.5401662,37073041508.619064,525819.88560231822,-36782.67439768184,155760.93497073906,1352965135.8458791,24261468862.958805]
["2012-10-21",43,22739,180749.25,-17690.526315789473,-189309.70063157915,3348988240.8571782,312954721.32963985,35838162753.218117,224261.61441401578,43512.364414015785,-145797.33621756337,1893325856.8981073,21256863248.137215,null,null,null,"Formulas:","Standard Error","t Stat","P-value",{"$f":"V45","v":"Lower 95%"},"Lower 95%"]
["2012-10-28",44,28654,275506.98,-11775.526315789473,-94551.97063157917,1113399218.3819139,138663020.01385042,8940075150.3150101,273010.3756624118,-2496.6043375881854,-97048.574969167355,6233033.2184641426,9418425903.5460968,null,null,null,null,"sb0 = s*SQRT(Σ(Xi^2)/(n*Σ(Xi - Xbar)^2))","Coefficients/Standard Error","t Statistic/(n-2)","Coeff.+/-alpha/2*Standard Error"]
["2012-11-04",45,36786,372981.08,-3643.5263157894733,2922.1293684208649,-10646855.251982694,13275284.013850413,8538840.0457877237,340030.65063653793,-32950.429363462084,-30028.29999504122,1085730795.2365043,901698800.59219253,null,null,null,null,"sb1 = s/SQRT(Σ(Xi - Xbar)^2)","Coefficients/Standard Error","t Statistic/(n-2)","Coeff.+/-alpha/2*Standard Error"]
["2012-11-11",46,20813,216087.74,-19616.526315789473,-153971.21063157916,3020380305.2283363,384808104.69806093,23707133703.354115,208388.39139382803,-7699.3486061719595,-161670.55923775112,59279968.959362097,26137369724.247192]
["2012-11-18",47,57259,470281.06,16829.473684210527,100222.10936842085,1686685352.1919079,283231184.48753464,10044471206.255709,508759.87955258368,38478.819552583678,138700.92892100452,1480619554.160296,19237947683.549549,null,null,"Values for Ybar Chart Line:"]
["2012-11-25",48,57707,481071.29,17277.473684210527,111012.33936842083,1918012772.060539,298511096.90858728,12323739492.049437,512452.0934222847,31380.80342228472,142393.14279070555,984754823.42807639,20275807113.814259,null,null,"x","Ybar"]
["2012-12-02",49,61539,612466.46,21109.473684210527,242407.50936842081,5117094939.8676958,445609879.22437674,58761400598.201027,544033.7084863343,-68432.751513665658,173974.75785475515,4683041479.7311096,30267216370.620689,null,null,{"$f":"R14","v":14591},{"$f":"Ybar","v":370058.95063157915}]
["2012-12-09",50,36635,370922.6,-3794.5263157894733,863.64936842082534,-3277140.25608778,14398429.961218834,745890.23157369054,338786.17676527705,-32136.423234722926,-31272.773866302101,1032749698.3212396,977986385.29286766,null,null,{"$f":"R15","v":64717},{"$f":"Ybar","v":370058.95063157915}]
["2012-12-16",51,39086,448677.2,-1343.5263157894733,78618.24936842086,-105625686.92777257,1805062.9612188356,6180829133.7552071,358986.2129140207,-89690.987085979315,-11072.737717558455,8044473164.4573088,122605520.56184162]
["2012-12-23",52,33062,259282.46,-7367.5263157894733,-110776.49063157916,816148709.89896548,54280444.013850413,12271430876.648346,309339.12284464837,50056.662844648381,-60719.827786930779,2505669495.1428018,3686897486.4745312,null,null,"Xbar","y"]
["2012-12-30",53,42144,354279.67999999999,1714.4736842105267,-15779.270631579158,-27053144.253878485,2939420.013850417,248985381.66461653,384188.86919425655,29909.189194256556,14129.918562677398,894559598.25783312,199654598.5878953,null,null,{"$f":"Xbar","v":40429.526315789473},{"$f":"MIN(D7:D196)","v":110924.66}]
["2013-01-06",54,18828,185749.88,-21601.526315789473,-184309.07063157915,3981357239.4867578,466625939.17174512,33969833517.076431,192028.91699347875,6279.036993478745,-178030.0336381004,39426305.5654746,31694692877.183159,null,null,{"$f":"Xbar","v":40429.526315789473},{"$f":"MAX(D7:D196)","v":731834.3}]
["2013-01-13",55,57070,415818.7,16640.473684210527,45759.74936842086,761463905.16127658,276905364.43490309,2093954662.2606933,507202.22682630358,91383.526826303569,137143.27619472443,8350948975.2137442,18808278205.42247]
["2013-01-20",56,27991,252095.02,-12438.526315789473,-117963.93063157916,1467297455.4748614,154716936.90858725,13915488930.052021,267546.22879720695,15451.208797206957,-102512.72183437221,238739853.29488564,10508858137.891373]
["2013-01-27",57,37876,329524.88,-2553.5263157894733,-40534.070631579147,103504816.04380658,6520496.6454293607,1643010881.965847,349013.93884630146,19489.058846301457,-21045.011785277689,379823414.7146011,442892521.04247683,null,null,"SUMMARY OUTPUT"]
["2013-02-03",58,16134,233120.9,-24295.526315789473,-136938.05063157916,3326982012.7524428,590272598.96121883,18752029710.776936,169826.18448237499,-63294.715517625009,-200232.76614920417,4006221012.4570799,40093160639.761879]
["2013-02-10",59,55466,376140.08,15036.473684210527,6081.1293684208649,91438741.718540117,226095540.85595569,36980134.395470746,493982.78252496338,117842.70252496336,123923.83189338422,13886902538.387005,15357116111.139753,null,null,"Regression Statistics"]
["2013-02-17",60,26100,208166,-14329.526315789473,-161892.95063157915,2319849296.4160194,205335324.43490303,26209327464.198925,251961.45998558958,43795.459985589579,-118097.49064598957,1918042315.3493781,13947017296.879595,null,null,"Multiple R",0.9175870471068398]
["2013-02-24",61,23787,226261.67,-16642.526315789473,-143797.28063157914,2393150027.0500197,276973682.17174512,20677657917.037125,232898.75757349492,6637.0875734949077,-137160.19305808423,44050931.458240524,18812918559.730938,null,null,"R Square",0.84196598901824993]
["2013-03-03",62,30895,249581.7,-9534.5263157894733,-120477.25063157914,1148693516.6007552,90907192.066481993,14514767919.744337,291479.68655973306,41897.98655973305,-78579.26407184609,1755441277.7595713,6174700742.0729218,null,null,"Adjusted R Square",0.84112538257685765]
["2013-03-10",63,31845,278010.2,-8584.5263157894733,-92048.75063157914,790194922.13233399,73694092.066481993,8472972492.8346415,299309.1579352151,21298.95793521509,-70749.792696364049,453645609.12606186,5005533166.5784874,null,null,"Standard Error",52423.925261679178]
["2013-03-17",64,50618,537451.34000000008,10188.473684210527,167392.38936842093,1705472954.0172787,103804996.01385042,28020212018.46904,454027.75386355619,-83423.58613644389,83968.803231977043,6959494723.8646736,7050759916.2104778,null,null,"Observations",190]
["2013-03-24",65,62293,448052.27,{"$f":"C71-Xbar","v":21863.473684210527},{"$f":"D71-Ybar","v":77993.319368420867},1705204885.5556967,478011481.5401662,6082957866.1044931,{"$f":"Slopeb1*C71+YInterceptb0","v":550247.83629382215},{"$f":"J71-D71","v":102195.56629382214},{"$f":"J71-Ybar","v":180188.885662243},10443933770.114996,32468034516.200882]
["2013-03-31",66,61228,519618.76,20798.473684210527,149559.80936842086,{"$f":"E72*F72","v":3110615759.3646441},432576507.59279782,22368136578.318386,541470.58680446597,21851.826804465964,171411.63617288682,477502334.69237715,29381949015.466122,null,null,"ANOVA"]
["2013-04-07",67,32558,364510.28,-7871.5263157894733,-5548.6706315791234,43676506.894123271,61960926.540166199,30787745.77774867,305185.38224123477,-59324.897758765263,-64873.568390344386,3519443494.0879517,4208579875.6966901,null,null,null,"df","SS","MS","F","Significance F"]
["2013-04-14",68,40694,351135.6,264.4736842105267,-18923.350631579175,-5004728.2591413418,69946.329639889402,358093199.12568796,372238.62341062608,21103.023410626105,2179.6727790469304,445337597.06943345,4750973.4237181684,null,null,"Regression",1,2752712827448.4253,2752712827448.4253,1001.6173414323483,3.0462200099371466E-77]
["2013-04-21",69,46333,390547.55,5903.4736842105267,20488.599368420837,120953907.19780482,34851001.540166207,419782704.07965469,418712.71718572412,28165.167185724131,48653.766554144968,793276642.59979141,2367188999.9052353,null,null,"Residual",188,516674372690.31927,2748267939.842124]
["2013-04-28",70,28415,234129.2,-12014.526315789473,-135929.75063157914,1633131566.0618083,144348842.59279779,18476897106.76329,271040.64549531683,36911.445495316817,-99018.305136262323,1362454808.5537441,9804624752.0579529,null,null,"Total",189,3269387200138.7446]
["2013-05-05",71,19993,224538.89,-20436.526315789473,-145520.06063157914,2973924548.572547,417651607.85595566,21176088046.218468,201630.32136446459,-22908.568635535426,-168428.62926711456,524802516.92903745,28368203156.799122]
["2013-05-12",72,34414,248912.92,-6015.5263157894733,-121146.03063157914,728757135.31770194,36186556.855955675,14676360737.787512,320481.69684428175,71568.776844281732,-49577.253787297406,5122089818.9865971,2457904093.090095,null,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 95.0%","Upper 95.0%"]
["2013-05-19",73,52078,328096.52,11648.473684210527,-41962.430631579133,-488798268.93745923,135686939.17174515,1760845584.5100906,466060.41513534961,137963.89513534959,96001.464503770461,19034036360.91774,9216281186.8687,null,null,"Intercept",36857.035880241834,11194.141821132911,3.2925289378289913,1.1861178583507498E-3,14774.769936467615,58939.301824016053,14774.769936467615,58939.301824016053]
["2013-05-26",74,24507,262965.82999999996,-15922.526315789473,-107093.12063157919,1705193031.4963362,253526844.2770083,11468936486.609974,238832.67272122865,-24133.157278771308,-131226.2779103505,582409280.2419126,17220336014.204544,null,null,"WeeklyAdExpenseX",8.2415488162968558,0.26041015608081652,31.648338683607818,3.0462200099374929E-77,7.7278474166790359,8.7552502159146748,7.7278474166790359,8.7552502159146748]
["2013-06-02",75,28516,334304.52,-11913.526315789473,-35754.430631579133,425961350.23538727,141932109.2770083,1278379309.7884042,271873.04192576278,-62431.478074237239,-98185.908705816371,3897689454.5339651,9640472668.3869076]
["2013-06-09",76,17554,216060.84,-22875.526315789473,-153998.11063157915,3522787832.3345475,523289704.22437674,23715418078.096092,181529.18380151654,-34531.656198483455,-188529.76683006261,1192435279.8102608,35543472980.997772]
["2013-06-16",77,16662,183462.62,-23767.526315789473,-186596.33063157916,4434933198.7158108,564895307.17174518,34818190605.169609,174177.72225737973,-9284.8977426202619,-195881.22837419942,86209326.090914831,38369455629.385269]
["2013-06-23",78,57162,517013.54,16732.473684210527,146954.58936842083,2458913799.3810654,279975675.59279782,21595651336.441185,507960.4493174029,-9053.0906825970742,137901.49868582375,81958450.907325953,19016823339.796249,null,null,"RESIDUAL OUTPUT"]
["2013-06-30",79,57297,731834.3,16867.473684210527,361775.3493684209,6102236185.0679092,284511668.48753464,130881403410.64299,509073.05840760295,-222761.2415923971,139014.1077760238,49622570755.786308,19324922160.763958]
["2013-07-07",80,64112,439159.84,23682.473684210527,69100.889368420874,1636479994.0231702,560859559.8033241,4774932911.5067406,565239.21359066607,126079.37359066604,195180.26295908692,15896008445.014738,38095335048.77832,null,null,"Observation","Predicted WeeklySalesY","Residuals"]
["2013-07-14",81,37237,453649.08,-3192.5263157894733,83590.129368420865,-266863687.74893013,{"$f":"E87^2","v":10192224.277008308},6987309727.8293362,343747.58915268781,-109901.49084731221,-26311.36147889134,{"$f":"K87^2","v":12078337690.461849},692287742.87288713,null,null,1,560739.32793696783,90595.032063032151]
["2013-07-21",82,55058,495969.8,14628.473684210527,125910.84936842084,1841883546.5425398,213992242.32963991,15853541988.677162,490620.23060791427,-5349.5693920857157,120561.27997633512,28617892.680740334,14535022229.532265,null,null,2,455214.53689310281,72455.883106897119]
["2013-07-28",83,30791,306489.03000000003,-9638.5263157894733,-63569.920631579123,612720352.9001236,92901189.540166199,4041134809.105269,290622.5654828382,-15866.464517161832,-79436.385148740956,251744696.27435544,6310139285.4991131,null,null,3,456689.77413121995,67061.525868780038]
["2013-08-04",84,19784,226868.96,-20645.526315789473,-143189.99063157916,2956232719.7419157,426237756.85595566,20503373417.071728,199907.83766185856,-26961.122338141431,-170151.11296972059,726902117.73222888,28951401244.834618,null,null,4,181883.57040061761,-6416.9604006176232]
["2013-08-11",85,32463,316845.86,-7966.5263157894733,-53213.090631579165,423923486.86096573,63465541.540166199,2831633014.5646582,304402.43510368653,-12443.42489631346,-65656.515527892625,154838823.15019363,4310778031.2644053,null,null,5,309067.15173371066,68910.818266289309]
["2013-08-18",86,59364,496417.28000000003,18934.473684210527,126358.32936842088,2392528462.2071714,358514293.69806093,15966427400.778334,526108.33981088852,29691.059810888488,156049.38917930936,881559032.69375753,24351411863.235554,null,null,6,519342.02823270869,758.26176729128929]
["2013-08-25",87,64632,527881.68000000005,24202.473684210527,157822.7293684209,3819700454.3094869,585759732.43490303,24908013905.297825,569524.81897514046,41643.138975140406,199465.86834356131,1734151023.702858,39786632634.050934,null,null,7,535404.80687567126,85451.473124328768]
["2013-09-01",88,58106,535766.15999999992,17676.473684210527,165707.20936842076,2929119125.6848536,312457721.90858728,27458879236.669636,515740.47139998712,-20025.6886000128,145681.52076840797,401028203.90468264,21223105493.39608,null,null,8,528762.11852973595,64977.341470264015]
["2013-09-08",89,60333,469314.35,19903.473684210527,99255.399368420825,1975527229.34517,396148264.69806093,9851634303.7847137,534094.40061388025,64780.050613880274,164035.4499823011,4196454957.53689,26907628850.896008,null,null,9,172282.16602963177,9666.7939703682205]
["2013-09-15",90,58353,558254.63,17923.473684210527,188195.67936842085,3373120306.6420131,321250908.90858728,35417613732.941467,517776.13395761244,-40478.49604238756,147717.18332603329,1638508641.8535852,21820366249.776928,null,null,10,179122.65154715817,5520.9484528418398]
["2013-09-22",91,22672,197141.28,-17757.526315789473,-172917.67063157915,3070590086.7052832,315329740.85595566,29900520816.651291,223709.4306433239,26568.150643323897,-146349.51998825526,705866628.60635197,21418182000.792725,null,null,11,359249.94247614226,20123.617523857742]
["2013-09-29",92,64325,563313.5,23895.473684210527,193254.54936842085,4617908998.7870646,570993662.59279776,37347320851.591408,566994.66348853731,3681.163488537306,196935.71285695815,13550964.629340148,38783674998.478271,null,null,12,334195.63407459977,-95507.694074599771]
["2013-10-06",93,32326,365825.02,-8103.5263157894733,-4233.9306315791328,34309768.292228647,65667138.750692517,17926168.593024075,303273.34291585389,-62551.677084146126,-66785.607715725258,3912712306.0392914,4460317397.9587412,null,null,13,383933.38118095131,26132.76881904871]
["2013-10-13",94,16138,206538.6,-24291.526315789473,-163520.35063157915,3972158900.5341268,590078250.75069249,26738905070.674587,169859.15067764017,-36679.44932235984,-200199.79995393899,1345382002.5915637,40079959901.597191,null,null,14,453566.22712984344,-40025.447129843407]
["2013-10-20",95,34957,320916.75,-5472.5263157894733,-49142.200631579151,268931986.17212296,29948544.277008306,2414955882.9143782,324956.85785153095,4040.1078515309491,-45102.092780048202,16322471.452002022,2034198773.1400762,null,null,15,352013.86261543358,-11772.262615433603]
["2013-10-27",96,26159,294325.06,-14270.526315789473,-75733.890631579154,1080762479.2550721,203647921.32963988,5735622190.1959925,252447.71136575108,-41877.34863424892,-117611.23926582807,1753712328.6344299,13832403601.64386,null,null,16,530278.5635119346,52564.436488065403]
["2013-11-03",97,42098,329951.7,{"$f":"C103-Xbar","v":1668.4736842105267},{"$f":"D103-Ybar","v":-40107.25063157914},-66917892.224825822,2783804.4349030484,1608591553.2243054,{"$f":"Slopeb1*C103+YInterceptb0","v":383809.75794870686},53858.057948706846,{"$f":"J103-Ybar","v":13750.807317127706},2900690406.0062647,189084701.87277287,null,null,17,416429.80816360982,16756.111836390162]
["2013-11-10",98,20582,161277.70000000001,-19847.526315789473,-208781.25063157914,4143791366.1537046,393924300.85595566,43589610615.286263,206484.59361726345,45206.893617263442,-163574.3570143157,2043663230.5225742,26756570272.646812,null,null,18,311704.44735492568,-40934.067354925675]
["2013-11-17",99,45614,428140.06,5184.4736842105267,58081.109368420846,301119983.07033134,26878767.382271472,3373415265.4664636,412787.04358680669,-15353.016413193312,42728.092955227534,235715112.98378325,1825689927.5905647,null,null,19,170427.81754596496,-6006.397545964981]
["2013-11-24",100,42729,433279.13,2299.4736842105267,63220.179368420853,145373138.76875302,5287579.2243767334,3996791079.3753057,389010.17525179021,-44268.954748209799,18951.224620211055,1959740354.4990468,359148914.60569364,null,null,20,507259.91766801744,-29182.417668017442]
["2013-12-01",101,40053,346792.73,-376.5263157894733,-23266.22063157917,8760344.3367535379,141772.06648199417,541317022.47732019,366955.79061937978,20163.060619379801,-3103.1600121993688,406549013.5407846,9629602.0613131858,null,null,21,291463.20346210059,102375.88653789944]
["2013-12-08",102,51749,540063.03,11319.473684210527,170004.07936842088,1924356702.619278,128130484.48753463,28901387001.904346,463348.94557478797,-76714.084425212059,93289.994943208818,5885050749.1985636,8703023156.5039272,null,null,22,483161.62892916548,-53007.568929165485]
["2013-12-15",103,59753,588972.06000000006,19323.473684210527,218913.1093684209,4230161708.0093822,373396635.22437674,47922949453.350212,529314.30230042804,-59657.757699572016,159255.35166884889,3559048053.7408442,25362267035.168732,null,null,23,157109.47465882928,53683.345341170731]
["2013-12-22",104,34045,290698.15000000002,-6384.5263157894733,-79360.800631579128,506681120.07443881,40762176.277008303,6298136676.8852501,317440.56533106818,26742.415331068158,-52618.38530051097,715156777.73934925,2768694471.633029,null,null,24,450071.81043173361,-106263.13043173362]
["2013-12-29",105,56384,544487.67999999993,15954.473684210527,174428.72936842078,2782918572.4787493,254545230.54016623,30425381629.081779,501548.52433832391,-42939.155661676021,131489.57370674476,1843771088.9376438,17289507993.581463,null,null,25,492227.33262709202,73283.157372907968]
["2014-01-05",106,33242,206569.82,-7187.5263157894733,-163489.13063157914,1175082428.7600179,51660534.540166199,26728695834.669552,310822.60163158178,104252.78163158178,-59236.348999997368,10868642477.922276,3508945042.8494892,null,null,26,324849.71771691914,5401.1622830808628]
["2014-01-12",107,49060,550902.6,8630.4736842105267,180843.64936842083,1560766356.8307517,74485076.013850421,32704425516.888332,441187.42080776568,-109715.1791922343,71128.470176186529,12037420545.184082,5059259269.6046562,null,null,27,254541.06476509068,41363.965234909352]
["2014-01-19",108,38219,321737.09000000003,-2210.5263157894733,-48321.860631579126,106816744.55401699,4886426.5927977823,2335002214.8977566,351840.7900902913,30103.70009029127,-18218.160541287856,906232759.12620258,331901373.50813782,null,null,28,487340.09417902795,74824.105820972007]
["2014-01-26",109,56891,568845.91999999993,16461.473684210527,198786.96936842077,3272326465.0222225,270980115.85595572,39516259190.681458,505726.98958818644,-63118.93041181349,135668.03895660728,3983999376.3313537,18405816794.331512,null,null,29,332621.49825068709,-75553.508250687097]
["2014-02-02",110,52906,426690.72,12476.473684210527,56631.769368420821,706564780.21538222,155662395.59279779,3207157301.7980065,472884.41755524342,46193.697555243445,102825.46692366427,2133857693.8253043,10573076648.069574,null,null,30,383175.15868985199,891.7913101480226]
["2014-02-09",111,44835,430649.15,4405.4736842105267,60590.199368420872,266928528.83864743,19408198.382271472,3671172259.5049891,406366.87705891137,-24282.272941088653,36307.926427332219,589628779.18552613,1318265521.4525692,null,null,31,427086.13078308164,14490.099216918345]
["2014-02-16",112,45028,400768.12,4598.4736842105267,30709.169368420844,141215307.20464724,21145960.224376734,943053083.29835701,407957.4959804567,7189.3759804567089,37898.545348877553,51687126.988367863,1436299739.5609283,null,null,32,237654.13124049842,14567.068759501592]
["2014-02-23",113,15988,175665.68,-24441.526315789473,-194393.27063157916,4751268239.7541265,597388208.64542937,37788743666.842377,168622.91835519564,-7042.7616448043555,-201436.03227638351,49600491.585527353,40576475099.25222,null,null,33,518212.936044876,34662.723955123918]
["2014-03-02",114,64717,558028.44999999995,24287.473684210527,187969.4993684208,4565304269.3447475,589881377.96121883,35332532692.814751,570225.35062452569,12196.900624525733,200166.39999294654,148764384.84455621,40066587686.136269,null,null,34,462475.34140026034,-16373.531400260341]
["2014-03-09",115,15196,163514.12,-25233.526315789473,-206544.83063157916,5211854419.1322327,636730850.32963991,42660767060.627716,162095.61169268852,-1418.5083073114802,-207963.33893889064,2012165.8179116806,43248750342.611908,null,null,35,491089.99889044306,-15051.048890443053]
["2014-03-16",116,45093,398568.89,4663.4736842105267,28509.939368420863,132955351.98306838,21747986.803324103,812816642.79103374,408493.19665351597,9924.3066535159596,38434.246021936822,98491862.553021148,1477191267.2747664,null,null,36,328739.72875821131,65149.63124178868]
["2014-03-23",117,51099,483830.51,10669.473684210527,113771.55936842086,1213882658.6929619,113837668.69806094,12943967721.122112,457991.93884419498,-25838.571155805024,87932.988212615834,667631759.37359941,7732210416.0000353,null,null,37,344052.52645889082,-15615.74645889079]
["2014-03-30",118,40839,292958.71999999997,409.4736842105267,-77100.230631579179,-31570515.49019403,167668.69806094214,5944445563.4427004,373433.64798898913,80474.927988989162,3374.6973574099829,6476214034.8329916,11388582.254109923,null,null,38,334772.54249174055,74177.097508259467]
["2014-04-06",119,29773,275083.88,-10656.526315789473,-94975.070631579147,1012104339.5293871,113561553.11911356,9020264041.4734478,282232.66878784797,7148.7887878479669,-87826.28184373118,51105181.133260801,7713455782.4945049,null,null,39,302168.97537447023,92607.344625529775]
["2014-04-13",120,60954,599805.07999999996,20524.473684210527,229746.12936842081,4715418386.2713804,421254020.01385045,52783283959.771149,539212.40242880059,-60592.677571199369,169153.45179722144,3671472575.2473269,28612890254.914917,null,null,40,459137.51412966015,-3332.5541296601295]
["2014-04-20",121,53820,524692.4,13390.473684210527,154633.44936842087,2070615134.4665406,179304785.48753464,23911503663.575981,480417.19317333878,-44275.206826661248,110358.24254175962,1960293939.5436308,12178941696.905844,null,null,41,525045.18001358607,1204.2199864139548]
["2014-04-27",122,19365,196012.1,-21064.526315789473,-174046.85063157915,3666214465.3091788,443714268.90858722,30292306214.771221,196454.62870783015,442.52870783014805,-173604.321923749,195831.65725382054,30138460590.604675,null,null,42,525819.88560231798,36782.674397682073]
["2014-05-04",123,39109,360134.37,-1320.5263157894733,-9924.580631579156,13105669.897174787,1743789.7506925198,98497300.712716118,359175.76853679551,-958.60146320448257,-10883.182094783639,918916.76525777497,118443652.50821918,null,null,43,224261.61441401605,-43512.364414016047]
["2014-05-11",124,40439,312044.71999999997,9.4736842105266987,-58014.230631579179,-549608.500720246,89.750692520782877,3365650955.7740598,370137.02846247033,58092.308462470362,78.077830891183112,3374716302.4988055,6096.147676672188,null,null,44,273010.37566241191,2496.604337588069]
["2014-05-18",125,35117,268076.57,-5312.5263157894733,-101982.38063157914,541784080.8521229,28222935.855955675,10400405959.284288,326275.50566213846,58198.93566213845,-43783.444969440694,3387116112.2057309,1916990053.3920417,null,null,45,340030.65063653799,32950.429363462026]
["2014-05-25",126,50624,394243.2,10194.473684210527,24184.24936842086,246545693.75875151,103927293.69806094,584877917.51396477,454077.20315645396,59834.003156453953,84018.252524874813,3580107933.7265415,7059066757.3336334,null,null,46,208388.39139382829,7699.3486061716976]
["2014-06-01",127,55174,474839.8,14744.473684210527,104780.84936842084,1544938476.1219082,217399504.22437674,10979026394.367697,491576.25027060474,16736.45027060475,121517.29963902559,280108767.66042578,14766454111.560728,null,null,47,508759.8795525835,-38478.819552583504]
["2014-06-08",128,52278,474497.36,11848.473684210527,104438.40936842083,1237435745.0225403,140386328.64542937,10907381351.405853,467708.72489860898,-6788.6351013910025,97649.774267029832,46085566.539838031,9535478414.4018822,null,null,48,512452.09342228447,-31380.803422284487]
["2014-06-15",129,30557,301178.54000000004,{"$f":"C135-Xbar","v":-9872.5263157894733},{"$f":"D135-Ybar","v":-68880.410631579114},680023666.60264981,97466775.855955675,4744510968.7749567,{"$f":"Slopeb1*C135+YInterceptb0","v":288694.04305982473},{"$f":"J135-D135","v":-12484.496940175304},{"$f":"J135-Ybar","v":-81364.907571754418},155862663.84924653,6620248184.1601391,null,null,49,544033.70848633396,68432.751513666008]
["2014-06-22",130,62145,642241.85,21715.473684210527,272182.89936842083,{"$f":"E136*F136","v":5910580588.5270643},471561797.32963991,74083530708.599899,549028.08706901013,-93213.762930989848,178969.13643743098,8688805599.7547779,32029951797.159786,null,null,50,338786.17676527717,32136.42323472281]
["2014-06-29",131,58106,475335.92,17676.473684210527,105276.96936842083,1860925578.5943286,312457721.90858728,11083240279.399418,515740.47139998712,40404.551399987133,145681.52076840797,1632527773.8342021,21223105493.39608,null,null,51,358986.21291402075,89690.987085979257]
["2014-07-06",132,55233,543230.68999999994,14803.473684210527,173171.73936842079,2563543286.5893812,219142833.11911359,29988451315.884258,492062.50165076624,-51168.188349233707,122003.55101918709,2618183498.942656,14884866461.291386,null,null,52,309339.12284464849,-50056.662844648497]
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["ith Sample Point","Annual Income\nx1","# Years Post-High School Education\nx2","Annual Credit Card Charges\ny"]
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[15,84500,6,13836.89,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%"]
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[75,99,0,15,"No",null,"Yes",1,null,null,"Standard Error b3","Standard Error b2","Standard Error b1","Stand. Error b0",null,{"$f":"A3*$M$4+B3*$L$4+C3*$K$4+$N$4","v":0},{"$f":"D3-P3","v":15},null,"Regression Statistics"]
[80,121,0,31,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A4*$M$4+B4*$L$4+C4*$K$4+$N$4","v":0},{"$f":"D4-P4","v":31},null,"Multiple R",0.9079891621236531]
[82,125,0,17,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A5*$M$4+B5*$L$4+C5*$K$4+$N$4","v":0},{"$f":"D5-P5","v":17},null,"R Square",0.82444431853401368]
[60,134,0,14,"No",null,null,null,"R^2","C. of Determination",null,null,null,null,null,{"$f":"A6*$M$4+B6*$L$4+C6*$K$4+$N$4","v":0},{"$f":"D6-P6","v":14},null,"Adjusted R Square",0.79811096631411582]
[79,205,1,48,"Yes",null,null,null,null,"F",null,null,null,null,null,{"$f":"A7*$M$4+B7*$L$4+C7*$K$4+$N$4","v":0},{"$f":"D7-P7","v":48},null,"Standard Error",6.5280759749611619]
[79,120,1,36,"Yes",null,null,null,null,"SS Regression (SSR) ",null,null,null,null,null,{"$f":"A8*$M$4+B8*$L$4+C8*$K$4+$N$4","v":0},{"$f":"D8-P8","v":36},null,"Observations",24]
[82,138,1,37,"Yes",null,null,null,null,null,null,"Standard Error of Estimate",null,null,null,{"$f":"A9*$M$4+B9*$L$4+C9*$K$4+$N$4","v":0},{"$f":"D9-P9","v":37}]
[64,192,0,28,"No",null,null,null,null,null,null,"df",null,null,null,{"$f":"A10*$M$4+B10*$L$4+C10*$K$4+$N$4","v":0},{"$f":"D10-P10","v":28},null,"ANOVA"]
[53,159,0,13,"No",null,null,null,null,null,null,"SS Residual (SSE)",null,null,null,{"$f":"A11*$M$4+B11*$L$4+C11*$K$4+$N$4","v":0},{"$f":"D11-P11","v":13},null,null,"df","SS","MS","F","Significance F"]
[59,151,1,18,"Yes",null,null,null,null,"t Stat",null,null,null,null,null,{"$f":"A12*$M$4+B12*$L$4+C12*$K$4+$N$4","v":0},{"$f":"D12-P12","v":18},null,"Regression",3,4002.6428146360313,1334.2142715453438,31.307989641783969,9.4318036201317996E-8]
[88,177,1,56,"Yes",null,null,null,null,"P-value",null,null,null,null,null,{"$f":"A13*$M$4+B13*$L$4+C13*$K$4+$N$4","v":0},{"$f":"D13-P13","v":56},null,"Residual",20,852.31551869730242,42.61577593486512]
[80,130,1,34,"Yes",null,null,null,null,"F p-value",null,null,null,null,null,{"$f":"A14*$M$4+B14*$L$4+C14*$K$4+$N$4","v":0},{"$f":"D14-P14","v":34},null,"Total",23,4854.9583333333339]
[64,209,1,37,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A15*$M$4+B15*$L$4+C15*$K$4+$N$4","v":0},{"$f":"D15-P15","v":37}]
[69,131,1,15,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A16*$M$4+B16*$L$4+C16*$K$4+$N$4","v":0},{"$f":"D16-P16","v":15},null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%","Upper 95.0%"]
[68,172,1,36,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A17*$M$4+B17*$L$4+C17*$K$4+$N$4","v":0},{"$f":"D17-P17","v":36},null,"Intercept",-72.507703796748714,15.092246984707357,-4.8043014317363868,1.0792747172782168E-4,-103.98957934395673,-41.025828249540702,-115.45027345223622,-29.565134141261204,-59.488688662164215]
[56,203,0,15,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A18*$M$4+B18*$L$4+C18*$K$4+$N$4","v":0},{"$f":"D18-P18","v":15},null,"Age x1",0.83483016917023145,0.16446413181798861,5.0760622388724403,5.7719494852371015E-5,0.49176400181159236,1.1778963365288706,0.36687384407301138,1.3027864942674516,1.4285681942993991]
[71,162,0,8,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A19*$M$4+B19*$L$4+C19*$K$4+$N$4","v":0},{"$f":"D19-P19","v":8},null,"Blood Pressure x2",0.22801475384368808,4.8994559544290522E-2,4.6538790421733527,1.5294693203438464E-4,0.12581389351940714,0.33021561416796902,8.8608588008838252E-2,0.36742091967853791,0.34768728902545937]
[71,190,1,51,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A20*$M$4+B20*$L$4+C20*$K$4+$N$4","v":0},{"$f":"D20-P20","v":51},null,"Smoker x3",10.606959746238022,3.2056257953785554,3.3088577467556335,3.504395614783704E-3,3.9201415114657907,17.293777981010255,1.4858653759327378,19.728054116543305,15.101315592048804]
[62,144,0,16,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A21*$M$4+B21*$L$4+C21*$K$4+$N$4","v":0},{"$f":"D21-P21","v":16}]
[70,165,0,24,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A22*$M$4+B22*$L$4+C22*$K$4+$N$4","v":0},{"$f":"D22-P22","v":24}]
[64,120,0,3,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A23*$M$4+B23*$L$4+C23*$K$4+$N$4","v":0},{"$f":"D23-P23","v":3}]
[68,156,0,22,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A24*$M$4+B24*$L$4+C24*$K$4+$N$4","v":0},{"$f":"D24-P24","v":22},null,"RESIDUAL OUTPUT"]
[54,154,0,12,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A25*$M$4+B25*$L$4+C25*$K$4+$N$4","v":0},{"$f":"D25-P25","v":12}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Observation","Predicted % Risk of Stroke over Next 10 Years Y","Residuals"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,12.67801952154376,2.3219804784562399]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,21.868494951956059,9.131505048043941]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,24.450214305671274,-7.450214305671274]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,8.1360833685193725,5.8639166314806275]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,50.793863851893647,-2.7938638518936472]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,31.412609775180162,4.5873902248198384]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,38.021365851877242,-1.0213658518772419]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,24.70025976813421,3.2997402318657905]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,7.9926410304199607,5.0073589695800393]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,25.572470375758417,-10.572470375758417]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,34.086245114179391,1.9137548858206088]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,20.529780707052922,-5.5297807070529217]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,40.695001190876482,10.304998809123518]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,19.831049306442367,2.1689506935576333]
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[75,99,0,15,"No",null,"Yes",1,null,null,"Standard Error b3","Standard Error b2","Standard Error b1","Stand. Error b0",null,{"$f":"A3*$M$4+B3*$L$4+C3*$K$4+$N$4","v":12.67801952154376},{"$f":"D3-P3","v":2.3219804784562399},null,"Regression Statistics"]
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[82,125,0,17,"No",null,null,null,null,null,3.2056257953785554,4.8994559544290522E-2,0.16446413181798861,15.092246984707357,null,{"$f":"A5*$M$4+B5*$L$4+C5*$K$4+$N$4","v":24.450214305671281},{"$f":"D5-P5","v":-7.4502143056712811},null,"R Square",0.82444431853401368]
[60,134,0,14,"No",null,null,null,"R^2","C. of Determination",0.82444431853401368,6.5280759749611619,{"$error":"#N/A"},{"$error":"#N/A"},null,{"$f":"A6*$M$4+B6*$L$4+C6*$K$4+$N$4","v":8.1360833685193796},{"$f":"D6-P6","v":5.8639166314806204},null,"Adjusted R Square",0.79811096631411582]
[79,205,1,48,"Yes",null,null,null,null,"F",31.307989641783969,20,{"$error":"#N/A"},{"$error":"#N/A"},null,{"$f":"A7*$M$4+B7*$L$4+C7*$K$4+$N$4","v":50.793863851893633},{"$f":"D7-P7","v":-2.793863851893633},null,"Standard Error",6.5280759749611619]
[79,120,1,36,"Yes",null,null,null,null,"SS Regression (SSR) ",4002.6428146360313,852.31551869730242,{"$error":"#N/A"},{"$error":"#N/A"},null,{"$f":"A8*$M$4+B8*$L$4+C8*$K$4+$N$4","v":31.412609775180158},{"$f":"D8-P8","v":4.5873902248198419},null,"Observations",24]
[82,138,1,37,"Yes",null,null,null,null,null,null,"Standard Error of Estimate",null,null,null,{"$f":"A9*$M$4+B9*$L$4+C9*$K$4+$N$4","v":38.021365851877235},{"$f":"D9-P9","v":-1.0213658518772348}]
[64,192,0,28,"No",null,null,null,null,null,null,"df",null,null,null,{"$f":"A10*$M$4+B10*$L$4+C10*$K$4+$N$4","v":24.700259768134217},{"$f":"D10-P10","v":3.2997402318657834},null,"ANOVA"]
[53,159,0,13,"No",null,null,null,null,null,null,"SS Residual (SSE)",null,null,null,{"$f":"A11*$M$4+B11*$L$4+C11*$K$4+$N$4","v":7.9926410304199607},{"$f":"D11-P11","v":5.0073589695800393},null,null,"df","SS","MS","F","Significance F"]
[59,151,1,18,"Yes",null,null,null,null,"t Stat",{"$f":"K4/K5","v":3.3088577467556335},{"$f":"L4/L5","v":4.6538790421733527},5.0760622388724403,-4.8043014317363868,null,{"$f":"A12*$M$4+B12*$L$4+C12*$K$4+$N$4","v":21.784463760929867},{"$f":"D12-P12","v":-3.7844637609298672},null,"Regression",3,4002.6428146360313,1334.2142715453438,31.307989641783969,9.4318036201317996E-8]
[88,177,1,56,"Yes",null,null,null,null,"P-value",{"$f":"_xlfn.T.DIST.2T(ABS(K12),$L$7)","v":3.504395614783704E-3},{"$f":"_xlfn.T.DIST.2T(ABS(L12),$L$7)","v":1.5294693203438464E-4},5.7719494852371015E-5,1.0792747172782168E-4,null,{"$f":"A13*$M$4+B13*$L$4+C13*$K$4+$N$4","v":51.922922266802459},{"$f":"D13-P13","v":4.077077733197541},null,"Residual",20,852.31551869730242,42.61577593486512]
[80,130,1,34,"Yes",null,null,null,null,"F p-value",{"$f":"_xlfn.F.DIST.RT(K7,COUNT(K4:M4),L7)","v":9.4318036201317996E-8},null,null,null,null,{"$f":"A14*$M$4+B14*$L$4+C14*$K$4+$N$4","v":34.527587482787268},{"$f":"D14-P14","v":-0.52758748278726841},null,"Total",23,4854.9583333333339]
[64,209,1,37,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A15*$M$4+B15*$L$4+C15*$K$4+$N$4","v":39.183470329714936},{"$f":"D15-P15","v":-2.183470329714936}]
[69,131,1,15,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A16*$M$4+B16*$L$4+C16*$K$4+$N$4","v":25.572470375758414},{"$f":"D16-P16","v":-10.572470375758414},null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%","Upper 95.0%"]
[68,172,1,36,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A17*$M$4+B17*$L$4+C17*$K$4+$N$4","v":34.086245114179391},{"$f":"D17-P17","v":1.9137548858206088},null,"Intercept",-72.507703796748714,15.092246984707357,-4.8043014317363868,1.0792747172782168E-4,-103.98957934395673,-41.025828249540702,-115.45027345223622,-29.565134141261204,-59.488688662164215]
[56,203,0,15,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A18*$M$4+B18*$L$4+C18*$K$4+$N$4","v":20.529780707052922},{"$f":"D18-P18","v":-5.5297807070529217},null,"Age x1",0.83483016917023145,0.16446413181798861,5.0760622388724403,5.7719494852371015E-5,0.49176400181159236,1.1778963365288706,0.36687384407301138,1.3027864942674516,1.4285681942993991]
[71,162,0,8,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A19*$M$4+B19*$L$4+C19*$K$4+$N$4","v":23.703628337015189},{"$f":"D19-P19","v":-15.703628337015189},null,"Blood Pressure x2",0.22801475384368808,4.8994559544290522E-2,4.6538790421733527,1.5294693203438464E-4,0.12581389351940714,0.33021561416796902,8.8608588008838252E-2,0.36742091967853791,0.34768728902545937]
[71,190,1,51,"Yes",null,null,null,null,null,null,null,null,null,null,{"$f":"A20*$M$4+B20*$L$4+C20*$K$4+$N$4","v":40.695001190876468},{"$f":"D20-P20","v":10.304998809123532},null,"Smoker x3",10.606959746238022,3.2056257953785554,3.3088577467556335,3.504395614783704E-3,3.9201415114657907,17.293777981010255,1.4858653759327378,19.728054116543305,15.101315592048804]
[62,144,0,16,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A21*$M$4+B21*$L$4+C21*$K$4+$N$4","v":12.085891245296708},{"$f":"D21-P21","v":3.9141087547032924}]
[70,165,0,24,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A22*$M$4+B22*$L$4+C22*$K$4+$N$4","v":23.552842429376014},{"$f":"D22-P22","v":0.44715757062398609}]
[64,120,0,3,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A23*$M$4+B23*$L$4+C23*$K$4+$N$4","v":8.2831974913886626},{"$f":"D23-P23","v":-5.2831974913886626}]
[68,156,0,22,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A24*$M$4+B24*$L$4+C24*$K$4+$N$4","v":19.831049306442367},{"$f":"D24-P24","v":2.1689506935576333},null,"RESIDUAL OUTPUT"]
[54,154,0,12,"No",null,null,null,null,null,null,null,null,null,null,{"$f":"A25*$M$4+B25*$L$4+C25*$K$4+$N$4","v":7.6873974303717461},{"$f":"D25-P25","v":4.3126025696282539}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,12.67801952154376,2.3219804784562399]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,21.868494951956059,9.131505048043941]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,24.450214305671274,-7.450214305671274]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,8.1360833685193725,5.8639166314806275]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,50.793863851893647,-2.7938638518936472]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,31.412609775180162,4.5873902248198384]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,38.021365851877242,-1.0213658518772419]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,24.70025976813421,3.2997402318657905]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,7.9926410304199607,5.0073589695800393]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,21.784463760929864,-3.7844637609298637]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,51.922922266802473,4.0770777331975268]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,34.527587482787268,-0.52758748278726841]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,39.183470329714936,-2.183470329714936]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,25.572470375758417,-10.572470375758417]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,34.086245114179391,1.9137548858206088]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,20.529780707052922,-5.5297807070529217]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,23.703628337015189,-15.703628337015189]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,40.695001190876482,10.304998809123518]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,12.085891245296715,3.9141087547032853]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,23.552842429376021,0.44715757062397898]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,8.2831974913886697,-5.2831974913886697]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,19.831049306442367,2.1689506935576333]
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[15,84500,1,6,13836.89,null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%",null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%",null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%",null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%",null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%",null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 99.0%","Upper 99.0%"]
[16,41500,5,5,0,null,"Intercept",136.34978751927338,1244.3032169049984,0.10957922929623316,0.91294833407679832,-2330.3362171293088,2603.0357921678556,-3126.9100754190968,3399.6096504576435,null,"Intercept",-1300.9740316998909,1486.0473827085139,-0.87545932036749541,0.38332231105037706,-4247.5314797174851,1645.5834163177033,-5199.5680655053347,2597.6200021055524,null,"Intercept",-1943.074352851188,1361.4608965894797,-1.4271980618163003,0.15646200761090198,-4642.3029984302921,756.15429272791607,-5514.1977364656777,1628.0490307633013,null,"Intercept",4622.895633267276,1453.8842802090048,3.1796860975776604,1.9287395797290394E-3,1740.7396140210931,7505.051652513459,809.99685384917302,8435.7944126853799,null,"Intercept",12492.276192734687,1173.0461590398299,10.649432758008393,1.7216869902336952E-18,10166.848994605662,14817.703390863713,9415.8922405255871,15568.660144943788,null,"Intercept",550.56911883275632,1439.5106870713141,0.38246962928277367,0.70287885257530269,-2303.4008276370032,3404.5390653025161,-3225.2795217274961,4326.417759393009]
[17,38900,1,2,7322.06,null,"Annual Income\nx1",0.16838676618545828,1.6453047398169638E-2,10.234381638272732,1.501031780586291E-17,0.1357705186346144,0.20100301373630217,0.12523766195745822,0.21153587041345834,null,"Annual Income\nx1",0.14567483318257507,1.7204890027176324E-2,8.4670598273206927,1.6371787953373339E-13,0.11156071445272578,0.17978895191242436,0.1005383978355569,0.19081126852959324,null,"Annual Income\nx1",0.14684553509851034,1.7182748730908491E-2,8.5461026869562033,1.029667893195733E-13,0.11277906451500655,0.18091200568201413,0.10177504064550524,0.19191602955151543,null,"# Years Post-High School Education\nx3",1587.1932730331384,288.14533715591762,5.5083080250377128,2.5158210412280007E-7,1015.9787484615803,2158.4077976046965,831.5148333578187,2342.8717127084583,null,"# in Household\nx2",-185.43161713041025,402.67761197232272,-0.46049646570158842,0.64609442259072192,-983.69301864640181,612.82978438558132,-1241.4778211429793,870.61458688215896,null,"Annual Income\nx1",0.16832368884299906,1.6504878095076787E-2,10.198420604706438,1.9933114509810672E-17,0.13560116272592646,0.20104621496007166,0.12503125476965549,0.21161612291634263]
[18,76600,3,2,12622.8,null,null,null,null,null,null,null,null,null,null,null,"# Years Post-High School Education\nx3",809.11099286836065,244.73311052846361,3.3060953261338835,1.2954442089153761E-3,323.85044330915173,1294.3715424275697,167.06212169312391,1451.1598640435973,null,"# Years Post-High School Education\nx3",771.25303169362155,242.35647365680668,3.1823083578356091,1.9174637366228826E-3,290.75775065049424,1251.7483127367489,135.54996272245285,1406.9561006647903,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"# in Household\nx2",-166.03749227341555,287.4360151421244,-0.57765027180507411,0.56472528420022206,-735.90734882697791,403.83236428014686,-919.9845777448827,587.90959319805165]
[19,47300,3,5,8512.1299999999992,null,null,null,null,null,null,null,null,null,null,null,"# in Household\nx2",-298.2969928881048,277.74608460686585,-1.0739917119275602,0.28528833242548018,-849.01617168336963,252.42218590716004,-1026.9542624750079,430.3602766987982]
[20,44500,3,3,622.61]
[21,118100,1,6,16162.34,null,"RESIDUAL OUTPUT",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RESIDUAL OUTPUT",null,null,null,null,null,null,null,null,null,"RESIDUAL OUTPUT"]
[22,93100,5,6,18067.060000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RESIDUAL OUTPUT",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RESIDUAL OUTPUT"]
[23,51500,4,7,6477.21,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals",null,null,null,null,null,null,null,"RESIDUAL OUTPUT",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals",null,null,null,null,null,null,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals"]
[24,96700,1,5,13266.53,null,1,6770.7883752263297,3349.6616247736711,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals",null,null,null,null,null,null,null,1,12558.861998432967,-2438.4119984329664,null,null,null,null,null,null,null,1,12492.276192734687,-2371.8261927346866,null,null,null,null,null,null,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals"]
[25,83700,3,6,19640.36,null,2,11620.327241367528,3669.4727586324716,null,null,null,null,null,null,null,"Observation","Predicted Annual Credit Card Charges\ny","Residuals",null,null,null,null,null,null,null,1,7698.9048884982276,2421.5451115017731,null,null,null,null,null,null,null,2,10971.66872539983,4318.1312746001695,null,null,null,null,null,null,null,2,11935.981341343457,3353.8186586565425,null,null,null,null,null,null,null,1,7182.5224592469194,2937.9275407530813]
[26,49400,3,2,10705.74,null,3,7376.9807334939796,-1439.79073349398,null,null,null,null,null,null,null,1,8484.1693600353701,1636.2806399646306,null,null,null,null,null,null,null,2,11156.803267641702,4132.9967323582969,null,null,null,null,null,null,null,3,14146.055271466106,-8208.8652714661075,null,null,null,null,null,null,null,3,11935.981341343457,-5998.7913413434571,null,null,null,null,null,null,null,2,11532.132221105046,3757.6677788949528]
[27,58900,3,2,10972.75,null,4,9161.8804550598379,-9161.8804550598379,null,null,null,null,null,null,null,2,10975.602584160859,4314.1974158391404,null,null,null,null,null,null,null,3,8998.8018465464847,-3061.6118465464851,null,null,null,null,null,null,null,4,7797.2821793335534,-7797.2821793335534,null,null,null,null,null,null,null,4,11750.549724213046,-11750.549724213046,null,null,null,null,null,null,null,3,7290.3752622614684,-1353.1852622614688]
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[31,87100,3,5,13747.44,null,8,9195.5578082969296,-5744.0378082969291,null,null,null,null,null,null,null,6,7682.7928470968709,-3793.0028470968709,null,null,null,null,null,null,null,7,9826.9092577208576,-2111.4392577208573,null,null,null,null,null,null,null,8,10971.66872539983,-7520.1487253998293,null,null,null,null,null,null,null,8,11750.549724213046,-8299.0297242130455,null,null,null,null,null,null,null,7,12825.938428626556,-5110.4684286265556]
[32,37600,3,4,14845.42,null,9,15846.835072622531,545.6049273774679,null,null,null,null,null,null,null,7,9822.5879807671317,-2107.1179807671315,null,null,null,null,null,null,null,8,9042.2275622231537,-5590.7075622231532,null,null,null,null,null,null,null,9,17320.441817532384,-928.00181753238576,null,null,null,null,null,null,null,9,11565.118107082637,4827.3218929173618,null,null,null,null,null,null,null,8,8942.2336094924449,-5490.7136094924444]
[33,77300,5,3,15906.89,null,10,16587.736843838546,5267.4231561614542,null,null,null,null,null,null,null,8,8579.5879934436707,-5128.0679934436703,null,null,null,null,null,null,null,9,17927.638325388798,-1535.1983253887993,null,null,null,null,null,null,null,10,15733.248544499245,6121.9114555007545,null,null,null,null,null,null,null,10,11565.118107082637,10290.041892917363,null,null,null,null,null,null,null,9,15424.981826517491,967.45817348250785]
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[39,53200,3,2,4951.9799999999996,null,16,7124.4005842157922,-7124.4005842157922,null,null,null,null,null,null,null,14,10437.837038795467,-2161.7570387954675,null,null,null,null,null,null,null,15,15092.891553134665,-1256.0015531346653,null,null,null,null,null,null,null,16,12558.861998432967,-12558.861998432967,null,null,null,null,null,null,null,16,11565.118107082637,-11565.118107082637,null,null,null,null,null,null,null,15,14607.883333792761,-770.9933337927614]
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[41,115200,0,3,24053.15,null,18,13034.776077325378,-411.97607732537836,null,null,null,null,null,null,null,16,7298.601545278254,-7298.601545278254,null,null,null,null,null,null,null,17,5311.7230258681075,2010.3369741318929,null,null,null,null,null,null,null,18,7797.2821793335534,4825.5178206664459,null,null,null,null,null,null,null,18,11935.981341343457,686.81865865654254,null,null,null,null,null,null,null,17,6932.323122552004,389.73687744799645]
[42,81400,0,1,5590.32,null,19,8101.0438280914505,411.08617190854875,null,null,null,null,null,null,null,17,5685.7019719508971,1636.3580280491033,null,null,null,null,null,null,null,18,10847.799699081947,1775.0003009180527,null,null,null,null,null,null,null,19,12558.861998432967,-4046.7319984329679,null,null,null,null,null,null,null,19,11935.981341343457,-3423.8513413434575,null,null,null,null,null,null,null,18,12946.051207386237,-323.25120738623809]
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