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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).

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 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 20 recent car models was​ selected, with the results recorded in the accompanying table.

-MPG 15.3, 19.2, 20.1, 18.5, 17.5, 27.2, 44.6, 27.2, 28.0, 21.2, 28.0, 36.1, 20.1, 29.9, 36.0, 36.4, 33.7, 32.9, 24.2, 39.3
– Horsepower – 190, 102, 142, 171, 166,67,64,82,91, 136, 90, 67, 88, 60,75, 64, 74, 101, 119, 75
-weight- 4757, 3538, 3209, 4449, 4292, 3192, 2111, 2489, 2605, 3875, 2673, 1805, 2964, 2375, 1975, 2948, 2212, 2611, 2935, 2071

a. State the multiple regression equation.
Est. Mean Mileage= ___+(__)+(__)Weight
​(Round to five decimal places as​ needed.)
b. Interpret the meaning of the​ slopes,bH and bW​, that you entered above
Each increase of one unit in horsepower is estimated to result in a
decrease in the mean gasoline mileage of ___​units, holding weight constant.
Each increase of one unit in weight is estimated to result in the decrease in the mean gasoline mileage of __units, holding horsepower constant
c. Explain why the regression​ coefficient,
b0​, has no practical meaning in the context of this problem.
A.
The interpretation of b0 has no practical meaning here because it would correspond to the estimated mean weight when a car has 0 gasoline mileage and 0 horsepower.
B.
The interpretation of b0 has no practical meaning here because it would correspond to the estimated mean gasoline mileage when a car has 0 horsepower and 0 weight.
C.
The interpretation of b0 has no practical meaning here because it would correspond to the estimated mean horsepower when a car has 0 gasoline mileage and 0 weight.
d. Predict the miles per gallon for a car that has 60 horsepower and weighs 2000 pounds.

The gasoline mileage​ (as measured by miles per​ gallon) prediction for a car that has 60 horsepower and weighs 2000 pounds is ____
miles per gallon.
​(Round to three decimal places as​ needed.)

 
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