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Solved: City Fuel Consumption: Finding the Best Multiple
Chapter 10, Problem 9BSC(choose chapter or problem)
Problem 9 BSC
City Fuel Consumption: Finding the Best Multiple Regression Equation.Refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 14 in Appendix B. The response (y) variable is CITY (fuel consumption in mil gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in milgal).
Predictor (x) Variables |
P-value |
R2 |
AdjustedR2 |
Regression Equation |
WT/DISP/HWY |
0.000 |
0.943 |
0.933 |
CITY = 6.86 - 0.00128 WT -0.257 DISP+ 0.652 HWY |
WT/DISP |
0.000 |
0.748 |
0.720 |
CITY = 38.0 - 0.00395 WT - 1.29 DISP |
WT/HWY |
0.000 |
0.942 |
0.935 |
CITY = 6.69 - 0.00159 WT + 0.670 HWY |
DISP/HWY |
0.000 |
0.935 |
0.928 |
CITY = 1.87 - 0.625 DISP + 0.706 HWY |
WT |
0.000 |
0.712 |
0.697 |
CITY = 41.8-0.00607 WT |
DISP |
0.000 |
0.659 |
0.641 |
CITY = 29.0-2.98 DISP |
HWY |
0.000 |
0.924 |
0.920 |
CITY = -3.15+ 0.819 HWY |
If only one predictor(x)variable is used to predict the city fuel consumption, which single variable is best? Why?
Questions & Answers
QUESTION:
Problem 9 BSC
City Fuel Consumption: Finding the Best Multiple Regression Equation.Refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 14 in Appendix B. The response (y) variable is CITY (fuel consumption in mil gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in milgal).
Predictor (x) Variables |
P-value |
R2 |
AdjustedR2 |
Regression Equation |
WT/DISP/HWY |
0.000 |
0.943 |
0.933 |
CITY = 6.86 - 0.00128 WT -0.257 DISP+ 0.652 HWY |
WT/DISP |
0.000 |
0.748 |
0.720 |
CITY = 38.0 - 0.00395 WT - 1.29 DISP |
WT/HWY |
0.000 |
0.942 |
0.935 |
CITY = 6.69 - 0.00159 WT + 0.670 HWY |
DISP/HWY |
0.000 |
0.935 |
0.928 |
CITY = 1.87 - 0.625 DISP + 0.706 HWY |
WT |
0.000 |
0.712 |
0.697 |
CITY = 41.8-0.00607 WT |
DISP |
0.000 |
0.659 |
0.641 |
CITY = 29.0-2.98 DISP |
HWY |
0.000 |
0.924 |
0.920 |
CITY = -3.15+ 0.819 HWY |
If only one predictor(x)variable is used to predict the city fuel consumption, which single variable is best? Why?
ANSWER:
Solution 9 BSC
The multiple coefficient of determination represented by