Concept explainers
City Fuel Consumption: Finding the Best Multiple Regression Equation. In Exercises 9-12, refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 20 “Car Measurements” in Appendix B. The response (y) variable is CITY (fuel consumption in mi /gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi /gal).
Predictor (x) Variables | P-Value | R2 | Adjusted R2 | 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 |
12. A Honda Civic weighs 2740 lb, it has an engine displacement of 1.8 L, and its highway fuel consumption is 36 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate?
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