Question: 2. A consumer organization wants to develop a regression model to predict gasoline mileage (as measured by miles per gallon) based on the horsepower of

2. A consumer organization wants to develop a regression model to predict gasoline mileage (as measured by miles per gallon) based on the horsepower of the car's engine and the weight of the car in pounds. A sample of 15 recent car models was selected and the results are given below.

MPG

43.1

19.9

19.2

17.7

18.1

20.3

21.5

16.9

15.5

18.5

27.2

41.5

46.6

23.7

27.2

Horsepower

110

105

165

139

103

115

155

142

150

100

Weight

1985

3365

3535

3445

3205

2830

3245

4360

4054

3940

3190

2144

2110

2420

2490

Use Excel to find the multiple regression results for this problem. Include Excel results with your submission.

a. State the multiple regression equation for this problem.

b. Interpret the meaning of the slopes, b₁and b₂, for this problem.

c. Does the regression coefficient b₀has a practical meaning in the context of this problem.

d. Predict the miles per gallon for cars that have 160 horsepower and weigh 3,500 pounds.

e.Determine the coefficient of multiple determination and interpret its meaning for this problem.

f.Determine the adjustedr²and interpret its meaning for this problem.

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