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. The best variable is (Type integers or decimals. Do not round.) Regression Table because it has the best combination of Predictor (x) Variables P-Value R² Adjusted R² WT/DISP/HWY 0.000 0.942 0.932 WT/DISP 0.000 0.747 0.719 WT/HWY 0.000 0.942 0.936 DISP/HWY WT DISP HWY 0.000 0.935 0.000 0.712 0.000 0.658 0.000 0.923 0.928 0.697 0.640 0.919 P-value, and Regression Equation adjusted R², CITY=6.89-0.00134WT-0.258DISP+0.652HWY CITY=37.8 -0.00156WT-1.28DISP CITY=6.69 -0.00156WT+0.675HWY CITY=1.81-0.622DISP+0.707HWY CITY=41.6-0.00604WT CITY=28.6-3.03DISP CITY = -3.14+0.816HWY X answer

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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 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.
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 0.942
0.000 0.747
0.000 0.942
WT/DISP
WT/HWY
DISP/HWY
WT
DISP
HWY
0.932
0.719
0.936
0.000 0.935
0.928
0.000 0.712 0.697
0.000 0.658
0.640
0.000 0.923 0.919
P-value, and
adjusted R²,
Regression Equation
CITY=6.89 -0.00134WT-0.258DISP+0.652HWY
CITY=37.8 -0.00156WT-1.28DISP
CITY=6.69 -0.00156WT+0.675HWY
CITY = 1.81-0.622DISP+0.707HWY
CITY = 41.6-0.00604WT
CITY=28.6-3.03DISP
CITY = 3.14+0.816HWY
-
X
answer
Transcribed Image Text: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. 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 0.942 0.000 0.747 0.000 0.942 WT/DISP WT/HWY DISP/HWY WT DISP HWY 0.932 0.719 0.936 0.000 0.935 0.928 0.000 0.712 0.697 0.000 0.658 0.640 0.000 0.923 0.919 P-value, and adjusted R², Regression Equation CITY=6.89 -0.00134WT-0.258DISP+0.652HWY CITY=37.8 -0.00156WT-1.28DISP CITY=6.69 -0.00156WT+0.675HWY CITY = 1.81-0.622DISP+0.707HWY CITY = 41.6-0.00604WT CITY=28.6-3.03DISP CITY = 3.14+0.816HWY - X answer
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