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

AgeBlood

Pressure

Smoker

10 58 152 Yes

25 65 163 No

12 58 155 No

57 86 177 Yes

28 59 196 Yes

50 76 189 Yes

17 56 155 Yes

32 78 120 No

37 80 135 No

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 No

4 62 117 No

38 59 209 Yes

1. Develop an estimated multiple regression equation that relates risk of a stroke to the person's age, blood pressure, and whether the person is a smoker. Letx1represent the person's age. Letx2represent the person's blood pressure. Letx3represent whether the person is a smoker.

1. Is smoking a significant factor in the risk of a stroke?

1. What is the probability of a stroke over the next 10 years for a 66-year-old smoker who has a blood pressure of 171?