A regression model

Consider the vehicle data from Consumer Reports in Figure 11.30. Weight is in tons, mileage in miles per gallon, and drive ratio is also indicated. A regression model was fitted relating weight x to mileage y. A partial SAS printout in Figure 11.30 shows some of the results of that regression analysis, and Figure 11.31 gives a plot of the residuals and weight for each vehicle.

Figure 11.30: SAS printout, showing partial analysis

Figure 11.31: SAS printout, showing residual plot

(a) From the analysis and the residual plot, does it appear that an improved model might be found by using a transformation? Explain.

(b) Fit the model by replacing weight with log weight. Comment on the results.

(c) Fit a model by replacing mpg with gallons per 100 miles traveled, as mileage is often reported in other countries. Which of the three models is preferable? Explain.