In: Statistics and Probability
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 | 56 | 145 | No |
25 | 55 | 160 | No |
10 | 60 | 156 | No |
58 | 88 | 175 | Yes |
27 | 60 | 195 | Yes |
49 | 75 | 185 | Yes |
15 | 55 | 156 | Yes |
32 | 77 | 120 | No |
35 | 80 | 135 | No |
15 | 78 | 98 | No |
22 | 71 | 152 | No |
36 | 70 | 173 | Yes |
15 | 67 | 135 | No |
48 | 77 | 209 | No |
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) |
(c) | What is the probability of a stroke over the next 10 years for Art Speen, a 69-year-old smoker who has a systolic blood pressure of 171? |
If required, round your answer to two decimal places. Do not round intermediate calculations. |