A 10 year study conducted by the American Heart Association provided data on how
ID: 3219422 • Letter: A
Question
A 10 year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of stroke. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) tha the patient will have a strok over the next 10-years period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.
Minitab gives estimated regression equation that relates risk of a stroke to the person’s age, blood pressure, and whether the person is a smoker as follows:
The regression equation is
Risk= -91.8 + 1.08 Age + 0.252 pressure + 8.74 smoking
a) Fully interpret the meaning of the coefficient of Smoking.
b) what is the risk of a stroke over the next 10 years for Art Speen, a 60-year-old smoker who has blood pressure of 170?
Risk Age 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 YesExplanation / Answer
(a) The coefficient 8.74 for smoking means that the risk of stroke for a smoker is 8.74 points more than the risk for a nonsmoker
(b) Risk = -91.8 + 1.08(60) + 0.252(170) + 8.74 = 24.58
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