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

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

(a)

Develop an estimated regression equation that relates risk of a stroke to the person's age, blood pressure, and whether the person is a smoker. (Letx₁represent age,x₂represent blood pressure,x₃represent whether the person is a smoker, andyrepresent risk. Round your numerical values to four decimal places.)

(b)

Is smoking a significant factor in the risk of a stroke? Explain. Use a= 0.05 level of significance.

Find thep-value.(Round your answer to four decimal places.)

p-value =

What is the probability of a stroke over the next 10 years for Art Speen, a66-year-old smoker who has a systolic blood pressure of165? (Round your answer to four decimal places.)

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 of205applies for a Select policy, under what condition will the company sell him the policy if it adheres to this standard? (Round your answer to two decimal places.)

This person must be no more than years old to qualify for the Select policy.

(e)

What other factors could be included in the model as independent variables? (Select all that apply.)

weight/obesity

name of medical school

family history of stroke

name of primary care physician

gender