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:
X1 | X2 | Y |
68,067 | 4,633,116,489 | 1,598,278,294 |
70,103 | 4,914,430,609 | 1,695,432,796 |
76,370 | 5,832,376,900 | 2,011,698,722 |
86,686 | 7,514,462,596 | 2,592,259,645 |
86,759 | 7,527,124,081 | 2,597,646,596 |
91,805 | 8,428,158,025 | 2,907,666,308 |
92,306 | 8,520,397,636 | 2,940,058,192 |
93,731 | 8,785,500,361 | 3,030,806,599 |
100,913 | 10,183,433,569 | 3,512,923,429 |
102,199 | 10,444,635,601 | 3,603,809,834 |
109,399 | 11,968,141,201 | 4,129,345,241 |
113,430 | 12,866,364,900 | 4,439,623,027 |
118,133 | 13,955,405,689 | 4,814,663,900 |
122,820 | 15,084,752,400 | 5,203,806,895 |
123,417 | 15,231,755,889 | 5,255,000,229 |
123,054 | 15,142,286,916 | 5,224,742,756 |
127,860 | 16,348,179,600 | 5,640,704,277 |
132,868 | 17,653,905,424 | 6,091,148,092 |
131,160 | 17,202,945,600 | 5,935,115,092 |
132,132 | 17,458,865,424 | 6,022,925,591 |
132,583 | 17,578,251,889 | 6,064,201,852 |
136,859 | 18,730,385,881 | 6,462,049,499 |
140,562 | 19,757,675,844 | 6,816,147,332 |
144,594 | 20,907,424,836 | 7,212,915,055 |
141,493 | 20,020,269,049 | 6,906,705,120 |
139,465 | 19,450,486,225 | 6,710,038,170 |