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City Fuel Consumption: Finding the Best Multiple

Chapter 10, Problem 12BSC

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QUESTION:

Problem 12 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

A Honda Civic weighs 2740 lb, it has an engine displacement of 1.8 L, and its highway fuel consumption is 36 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate?

Questions & Answers

QUESTION:

Problem 12 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

A Honda Civic weighs 2740 lb, it has an engine displacement of 1.8 L, and its highway fuel consumption is 36 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate?

ANSWER:

Answer :

Step 1 of 1 :

Given 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 mil gal).

The table is given below.

Predictor (x) Variables

P-value

 

Adjusted

Regression
 Equation

WT/DISP/HWY

0

0.943

0.933

CITY = 6.86 - 0.00128 WT -0.257 DISP+
 0.652 HWY

WT/DISP

0

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