The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y
Posted: Wed May 04, 2022 12:56 pm
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? Click the icon to view the table of regression equations. P-value, and adjusted R². The best variable is because it has the best combination of (Type integers or decimals. Do not round.)
Regression Table Predictor (x) Variables P-Value R² Adjusted R2 WT/DISP/HWY 0.000 0.943 0.933 WT/DISP 0.000 0.748 0.720 WT/HWY 0.000 0.941 0.934 DISP/HWY 0.000 0.936 0.929 WT 0.000 0.713 0.698 DISP 0.000 0.659 0.641 HWY 0.000 0.923 0.919 Regression Equation CITY=6.87-0.00127WT-0.252DISP+0.651HWY CITY=38.2-0.00158WT-1.31DISP CITY=6.74-0.00158WT+0.673HWY CITY=1.83-0.626DISP+0.708HWY CITY=42.5-0.00607WT CITY 29.2-2.95DISP CITY=-3.18+0.821HWY
Regression Table Predictor (x) Variables P-Value R² Adjusted R2 WT/DISP/HWY 0.000 0.943 0.933 WT/DISP 0.000 0.748 0.720 WT/HWY 0.000 0.941 0.934 DISP/HWY 0.000 0.936 0.929 WT 0.000 0.713 0.698 DISP 0.000 0.659 0.641 HWY 0.000 0.923 0.919 Regression Equation CITY=6.87-0.00127WT-0.252DISP+0.651HWY CITY=38.2-0.00158WT-1.31DISP CITY=6.74-0.00158WT+0.673HWY CITY=1.83-0.626DISP+0.708HWY CITY=42.5-0.00607WT CITY 29.2-2.95DISP CITY=-3.18+0.821HWY