Solution Found!
Answer: City Fuel Consumption: Finding the Best Multiple
Chapter 10, Problem 10BSC(choose chapter or problem)
Problem 10 BSC
City Fuel Consumption: Finding the Best Multiple Regression Equation.Refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 14 in Appendix B. The response (y) variable is CITY (fuel consumption in mil gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in milgal).
Predictor (x) Variables |
P-value |
R2 |
AdjustedR2 |
Regression Equation |
WT/DISP/HWY |
0.000 |
0.943 |
0.933 |
CITY = 6.86 - 0.00128 WT -0.257 DISP+ 0.652 HWY |
WT/DISP |
0.000 |
0.748 |
0.720 |
CITY = 38.0 - 0.00395 WT - 1.29 DISP |
WT/HWY |
0.000 |
0.942 |
0.935 |
CITY = 6.69 - 0.00159 WT + 0.670 HWY |
DISP/HWY |
0.000 |
0.935 |
0.928 |
CITY = 1.87 - 0.625 DISP + 0.706 HWY |
WT |
0.000 |
0.712 |
0.697 |
CITY = 41.8-0.00607 WT |
DISP |
0.000 |
0.659 |
0.641 |
CITY = 29.0-2.98 DISP |
HWY |
0.000 |
0.924 |
0.920 |
CITY = -3.15+ 0.819 HWY |
If exactly two predictor (x) variables are to be used to predict the city fuel consumption, which two variables should be chosen? Why?
Questions & Answers
QUESTION:
Problem 10 BSC
City Fuel Consumption: Finding the Best Multiple Regression Equation.Refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 14 in Appendix B. The response (y) variable is CITY (fuel consumption in mil gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in milgal).
Predictor (x) Variables |
P-value |
R2 |
AdjustedR2 |
Regression Equation |
WT/DISP/HWY |
0.000 |
0.943 |
0.933 |
CITY = 6.86 - 0.00128 WT -0.257 DISP+ 0.652 HWY |
WT/DISP |
0.000 |
0.748 |
0.720 |
CITY = 38.0 - 0.00395 WT - 1.29 DISP |
WT/HWY |
0.000 |
0.942 |
0.935 |
CITY = 6.69 - 0.00159 WT + 0.670 HWY |
DISP/HWY |
0.000 |
0.935 |
0.928 |
CITY = 1.87 - 0.625 DISP + 0.706 HWY |
WT |
0.000 |
0.712 |
0.697 |
CITY = 41.8-0.00607 WT |
DISP |
0.000 |
0.659 |
0.641 |
CITY = 29.0-2.98 DISP |
HWY |
0.000 |
0.924 |
0.920 |
CITY = -3.15+ 0.819 HWY |
If exactly two predictor (x) variables are to be used to predict the city fuel consumption, which two variables should be chosen? Why?
ANSWER:
Solution10 BSC
A multiple correlation analysis between the response variable CITY and the predictor variables WT (weight in pound), DISP (engine displacement in liters) and the HWY (highway fuel consumption is obtained.
The regression equation for the above relationship and variable other possible combination of