Answer the following questions using the data from Problem 14.47:

a. Calculate the coefficient of determination.

b. Using α = 0.05, test the significance of the population coefficient of determination.

c. Construct a 95% confidence interval for the average MPG of a 2.5 cubic liter engine.

d. Construct a 95% prediction interval for the MPG of a 2.5 cubic liter engine.

In Problem

Suppose the Environmental Protection Agency (EPA) would like to investigate the linear relationship between the engine size of sedans and the miles per gallon (MPG) they get. Data from the Excel file engine size. xlsx show the engine size in cubic liters and rated miles per gallon for a selection of sedans.