Question
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
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 |
(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. (Let x1 represent age, x2 represent blood pressure, x3 represent whether the person is a smoker, and y represent risk. Round your numerical values to four decimal places.)
= 91.7595+1.0767x1+0.2518x2+8.7399x3
(b)What is the probability of a stroke over the next 10 years for Art Speen, a65-year-old smoker who has a systolic blood pressure of195? (Round your answer to four decimal places.)
__________
(c)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 220 applies 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.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started