A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted to assess how age, systolic 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 Systolic Blood Pressure Smoker 12 57 152 No 24 67 163 No 13 58 155 NO 56 86 177 YES 28 59 196 NO 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 37 59 207 YES Stroke RugglesCollege a. Develop an estimated multiple regression equation that relates risk of a stroke to the person’s age, systolic blood pressure, and whether the person is a smoker. b. Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance. c. What is the probability of a stroke over the next 10 years for Art Speen, a 68-yearold smoker who has a systolic blood pressure of 175? What action might the physician recommend for this patient? d. An insurance company will only sell its Select policy to people for whom the probability of a stroke in the next 10 years is less than 0.01. If a smoker with a systolic blood pressure of 230 applies for a Select policy, under what condition will the company sell him the policy if it adheres to this standard? e. What other factors could be included in the model as independent variables?

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