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A recent 10-year study conducted by a research team at the Medical School was conducted to assess how age, blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker. Blood Pressure 152 163 155 Risk 24 13 56 28 51 18 31 37 15 Age 57 67 58 86 59 76 56 78 80 78 Smoker No No No Yes No 196 189 155 120 135 98 152 173 135 209 199 119 166 125 No 36 15 48 15 36 No No Yes Yes Yes No 70 67 60 82 80 62 59 No Yes No 34 37 207 (a) Develop an estimated multiple regression equation that relates risk of a stroke to the persons age, blood pressure, and whether the person is a smoker. Let x1 represent the persons age Let x2 represent the persons blood pressure Let x3 represent whether the person is a smoker If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a sign before the blank. (Example: -300) X3

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Fom the ;ntonMati” , Coraide $, XjX and X3 Variable-that have risk, Ag®, Br a 2 ta au each vouiable eachcl eP2 ; elect the AThe MegaStat output as follows Regression Analysis R2 0.873 Adjusted R 0.850 R 0.935 Std. Error 5.757 n 20 Dep. Var. Risk ANOVA table Source df 3 1,220.2465 MS 36.82 2.06E-07 Regression 3,660.7396 530.2104 Total 4,190.9500 16 19 Residual 33.1382 Re confidence interval ession out variables Intercept Age BP Smoker coefficients 91.7595 1.0767 0.2518 8.7399 std. error t (df=16) p-value 95% lower 95% upper 0.1660 0.0452 3.0008 6.488 7.49E-06 5.568 4.24E-05 0102 0.7249 0.1559 2.3784 1.4286 0.3477 15.1013 2.912 From the output, the multiple regression equation as follows y--91.7595 +1.0767X, + 0.2518X, + 8.7399x,

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