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.

a. Construct a scatter plot for these data.

b. Calculate the slope and the y intercept for the regression equation.

c. Provide an interpretation for the value of the slope.

d. Predict the MPG for a sedan with a 3.0 liter engine.

e. Calculate the SST.

f. Partition the SST into the SSR and the SSE.