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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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