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In: Statistics and Probability

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

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 57 150 No
26 60 165 No
11 59 155 No
57 86 170 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
14 60 199 No
36 82 119 Yes
8 65 166 No
34 82 125 No
3 61 117 No
39 60 208 Yes

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.

Let x1 represent the person's age.

Let x2 represent the person's systolic blood pressure,

Let x3 represent whether the person is a smoker.

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

b) What is the probability of a stroke over the next 10 years for Art Speen, a 67-year-old smoker who has a systolic blood pressure of 172? If required, round your answer to two decimal places. Do not round intermediate calculations.

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