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? E Click the icon to view the table of regression equations. The best variable is because it has the best combination of V P-value,. and adjusted R?. (Type integers or decimals. Do not round.)

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Chapter4: Linear Functions
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Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...
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R2 Adjusted R?
Predictor (x) Variables P-Value
WT/DISP/HWY
WT/DISP
WT/HWY
DISP/HWY
Regression Equation
CITY = 6.82 - 0.00126WT - 0.259DISP +0.657HWY
CITY = 37.6-0.00157WT - 1.33DISP
CITY = 6.72 -0.00157WT +0.674HWY
0.000
0.943
0.933
0.000
0.747
0.943
0.935
0.712
0.659
0.925
0.719
0.937
0.928
0.000
0.000
CITY = 1.84 - 0.625DISP + 0.705HWY
0.000
0.000
0.000
CITY = 42.3 –0.00606WT
CITY = 29.4 - 3.01DISP
CITY = - 3.15+0.817HWY
WT
0.697
DISP
HWY
0.641
0.921
Transcribed Image Text:R2 Adjusted R? Predictor (x) Variables P-Value WT/DISP/HWY WT/DISP WT/HWY DISP/HWY Regression Equation CITY = 6.82 - 0.00126WT - 0.259DISP +0.657HWY CITY = 37.6-0.00157WT - 1.33DISP CITY = 6.72 -0.00157WT +0.674HWY 0.000 0.943 0.933 0.000 0.747 0.943 0.935 0.712 0.659 0.925 0.719 0.937 0.928 0.000 0.000 CITY = 1.84 - 0.625DISP + 0.705HWY 0.000 0.000 0.000 CITY = 42.3 –0.00606WT CITY = 29.4 - 3.01DISP CITY = - 3.15+0.817HWY WT 0.697 DISP HWY 0.641 0.921
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?
E Click the icon to view the table of regression equations.
The best variable is
V because it has the best combination of
V P-value,
and
V adjusted R2, I
(Type integers or decimals. Do not round.)
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? E Click the icon to view the table of regression equations. The best variable is V because it has the best combination of V P-value, and V adjusted R2, I (Type integers or decimals. Do not round.)
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