A recent 10-year study conducted by a research team at the Medical School was co

Question

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.

Risk
Age Blood
Pressure
Smoker 11 58 152 Yes 24 65 163 No 13 58 155 No 56 86 177 Yes 27 59 196 Yes 51 76 189 Yes 18 56 155 Yes 31 78 120 No 37 80 135 Yes 15 78 98 No 22 71 152 No 36 70 173 Yes 15 67 135 Yes 48 77 209 Yes 15 60 199 No 36 82 119 Yes 8 66 166 No 34 80 125 Yes 3 62 117 No 38 59 209 Yes

Explanation / Answer

a)

Stroke=-100.362+1.194*Age+0.249*BP+8.715*Smoker

b)

Looking at the p-value for smoking i.e. 0.006, it seems that it is a significant variable because p-value is less than 0.05

c)

Stroke=-100.362+1.194*67+0.249*172+8.715*1

Stroke=31.21

SUMMARY OUTPUT Regression Statistics Multiple R 0.9394 R Square 0.8825 Adjusted R Square 0.8605 Standard Error 5.5810 Observations 20 ANOVA df SS MS F Significance F Regression 3 3743.44 1247.81 40.06 0.00 Residual 16 498.36 31.15 Total 19 4241.80 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -100.362 13.929 -7.205 0.000 -129.891 -70.834 Age 1.194 0.148 8.088 0.000 0.881 1.507 Blood Pressure 0.249 0.044 5.645 0.000 0.156 0.343 Smoker 8.715 2.784 3.131 0.006 2.814 14.617

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