One late Friday afternoon your obnoxious boss comes into your office as you are about to...

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Basic Math

One late Friday afternoon your obnoxious boss comes into youroffice as you are about to leave, and shows you 26 observationsthat he believes to be related. Y, he believes, is the dependentvariable and X1 is the independent variable. He also thinks thereis a 2nd order polynomial relationship in the data ( Y = B1X1+B2X12 + B0 ), and, as you casually view the data, you tend toagree. He insists that the determination of B1, B2 and B0 is farmore important than your Friday afternoon gathering ofyoung-urban-millennial-professionals (YUMPS) at a local wateringhole. So, you perform the analysis using the scatter diagram andTrendline tool in Excel. Then you quietly exit for the YUMPSgathering.

Now, it is Monday morning. You want to use the assumption of a2nd order polynomial to find the exact values of B1, B2 and B0 .(Hint: generate a new variable that fits the assumed polynomialmodel and then use the regression tool in Excel)

a) Use a regression tool in Excel to determine the exact valuesof B1, B2 and B0 .

b) Is the regression model significant? Use alpha 0.05.

Data:

X1X2Y
68,0674,633,116,4891,598,278,294
70,1034,914,430,6091,695,432,796
76,3705,832,376,9002,011,698,722
86,6867,514,462,5962,592,259,645
86,7597,527,124,0812,597,646,596
91,8058,428,158,0252,907,666,308
92,3068,520,397,6362,940,058,192
93,7318,785,500,3613,030,806,599
100,91310,183,433,5693,512,923,429
102,19910,444,635,6013,603,809,834
109,39911,968,141,2014,129,345,241
113,43012,866,364,9004,439,623,027
118,13313,955,405,6894,814,663,900
122,82015,084,752,4005,203,806,895
123,41715,231,755,8895,255,000,229
123,05415,142,286,9165,224,742,756
127,86016,348,179,6005,640,704,277
132,86817,653,905,4246,091,148,092
131,16017,202,945,6005,935,115,092
132,13217,458,865,4246,022,925,591
132,58317,578,251,8896,064,201,852
136,85918,730,385,8816,462,049,499
140,56219,757,675,8446,816,147,332
144,59420,907,424,8367,212,915,055
141,49320,020,269,0496,906,705,120
139,46519,450,486,2256,710,038,170

Answer & Explanation Solved by verified expert
3.6 Ratings (427 Votes)
Data Data Analysis RegressionOutput using excelSUMMARY OUTPUTRegression StatisticsMultipleR1RSquare1AdjustedR    See Answer
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