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Consider the gasoline mileage data in Table B.3. a. Fit a multiple linear regression model relating gasoline mileage y (miles per gallon) to engine
Consider the gasoline mileage data in Table B.3. a. Fit a multiple linear regression model relating gasoline mileage y (miles per gallon) to engine displacement x and the number of carburetor barrels x6. b. Construct the analysis-of-variance table and test for significance of regression. c. Calculate R and R2 Ad; for this model. Compare this to the R2 and R2 Ad; for the simple linear regression model relating mileage to engine displacement in Problem 2.4. d. Find a 95% CI for . e. Compute the t statistics for testing Ho B = 0 and Ho6 = 0. What conclusions can you draw? f. Find a 95% CI on the mean gasoline mileage when x =275 in and x6 = 2 barrels. g. Find a 95% prediction interval for a new observation on gasoline mileage when x = 257 in and x6 = 2 barrels.
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