The report Older Driver Involvement in Injury Crashes in

Chapter 0, Problem 5.53

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The report Older Driver Involvement in Injury Crashes in Texas (Texas Transportation Institute, 2004) included a scatterplot of y fatality rate (percentage of drivers killed in injury crashes) versus x driver age. The accompanying data are approximate values read from the scatterplot. Fatality Fatality Age Rate Age Rate 40 0.75 80 2.20 45 0.75 85 3.00 50 0.95 90 3.20 55 1.05 a. Construct a scatterplot of these data. b. Using Table 5.5 and the ladder of transformations in Figure 5.31, suggest a transformation that might result in variables for which the scatterplot would exhibit a pattern that was more nearly linear. c. Reexpress x and/or y using the transformation you recommended in Part (b). Construct a scatterplot of the transformed data.d. Does the scatterplot in Part (c) suggest that the transformationwas successful in straightening the plot?e. Using the transformed variables, fit the least-squaresline and use it to predict the fatality rate for 78-year-olddrivers.

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