Use the computer output shown next to compare the separate regressions of SBP on AGE and QUET for smokers and nonsmokers (based on the data from Problem 2 in Chapter 5), as follows.
a. State the appropriate regression model, simultaneously incorporating equations for both smokers and nonsmokers.
b. Determine the fitted regression equations for smokers and nonsmokers separately, using the fitted regression model.
c. Test for parallelism of the two models, stating the null hypothesis in terms of appropriate regression coefficients.
d. Test for coincidence of the two models, stating the null hypothesis in terms of regression coefficients.

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Regression of SBP on AGE, QUET, SMK, AGESMK, and QUETSMK ANALYSIS OF VARIANCE Sum of Mean Square F Value 983.12608 58.08994 DF Squares Source Model Error Corrected Total Pr>F 4915.63040 1510.33835 6425.96875 16.92 <0001 26 31 Root MSE Dependent Mean Coeff Var 7.62168 144 53125 5.27338 R-Square 0.7650 Adj R-Sq 0.7198 PARAMETER ESTIMATES Parameter Standard DF Estimate Variable intercept AGE QUET SMK AGESMK QUETSMK Error Value Pr Type I SS 48.61270 17.01537 2.86 0.0083 608457 1.02892 0.50177 205 0.0505 3861.63038 1 10.45104 9.13015 .14 0.2628 258 96187 1 0.53744 23 23004 00 0.9817 923345 18 92033 6 88437 043733 0.71279 0.61 0 5449 3.70682 10.76783 034 0.7334