Question: In Appendix D, Table D.4, we show the winning speeds for the Indianapolis 500 motor car race for the years 1911 through 1971. (Note that

In Appendix D, Table D.4, we show the winning speeds for the Indianapolis 500 motor car race for the years 1911 through 1971. (Note that the race was not held during World Wars I and II.)

a. Fit the linear, quadratic, and cubic regressions of winning speed on year in both uncentered and centered form. Complete the parameter estimation table for the three models in both forms and note the roles of the coefficients.

b. Write the analysis of variance in the form of Table 2.12 to illustrate the contributions of the higher-ordered terms.

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