Consider the vehicle data from Consumer Reports in Figure

Chapter , Problem 7.85

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Consider the vehicle data from Consumer Reports in Figure 7.24 on page 351. The data include weight (in tons), mileage (in miles per gallon), and drive ratio. A regression model was fitted relating weight x to mileage y. A partial SAS printout in Figure 7.24 shows some of the results of that regression analysis, and Figure 7.25 on page 352 gives a plot of the residuals and weight for each vehicle. (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.

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