Question: Consider the gasoline mileage data in Table B.3. a. Fit a multiple linear regression model relatmg gasoline mileage y (miles per gallon) to engine displacement

Consider the gasoline mileage data in Table B.3.

a. Fit a multiple linear regression model relatmg gasoline mileage y (miles per gallon) to engine displacement x1 and the number of carburetor barrels x6 .

b. Construct the analysis - of - variance table and test for signifi cance of regression.

c. Calculate R2 and RAdj 2 for this model. Compare this to the R2 and the RAdj 2

for the simple linear regression model relating mileage to engine displacement in Problem 2.4.

d. Find a 95% CI for β1 .

e. Compute the t statistics for testing H0 : β1 = 0 and H0 : β6 = 0. What conclusions can you draw?

f. Find a 95% CI on the mean gasoline mileage when x1 = 275 in. 3 and x6 = 2 barrels.

g. Find a 95% prediction interval for a new observation on gasoline mileage when x1 = 257 in. 3 and x6 = 2 barrels.

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