Question
The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption
The accompanying table shows results from regressions performed on data from a random sample of 21 cars. 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). If only one predictor (x) variable is used to predict the city fuel consumption, which single variable is best? Why?
The best variable is HWY/WT/DISP because it has the best combination of large/small P-value, ___, and large/small adjusted R^2, ___
Predictor (x) Variables | P-Value | R2 | Adjusted R2 | Regression Equation |
---|---|---|---|---|
WT/DISP/HWY | 0.000 | 0.942 | 0.932 | CITY=6.820.00132WT0.258DISP+0.654HWY |
WT/DISP | 0.000 | 0.749 | 0.721 | CITY=37.70.00158WT1.28DISP |
WT/HWY | 0.000 | 0.941 | 0.934 | CITY=6.730.00158WT+0.669HWY |
DISP/HWY | 0.000 | 0.934 | 0.927 | CITY=1.830.626DISP+0.702HWY |
WT | 0.000 | 0.712 | 0.697 | CITY=41.90.00609WT |
DISP | 0.000 | 0.658 | 0.640 | CITY=28.53.05DISP |
HWY | 0.000 | 0.924 | 0.920 | CITY=3.14+0.818HWY |
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