A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker.
Risk | Age | Blood Pressure |
Smoker |
---|---|---|---|
12 | 57 | 152 | 0 |
24 | 67 | 163 | 0 |
13 | 58 | 155 | 0 |
56 | 86 | 177 | 1 |
28 | 59 | 196 | 0 |
51 | 76 | 189 | 1 |
18 | 56 | 155 | 1 |
31 | 78 | 120 | 0 |
37 | 80 | 135 | 1 |
15 | 78 | 98 | 0 |
22 | 71 | 152 | 0 |
36 | 70 | 173 | 1 |
15 | 67 | 135 | 1 |
48 | 77 | 209 | 1 |
15 | 60 | 199 | 0 |
36 | 82 | 119 | 1 |
8 | 66 | 166 | 0 |
34 | 80 | 125 | 1 |
3 | 62 | 117 | 0 |
37 | 59 | 207 | 1 |
Using age, blood pressure, and whether a person is a smoker, develop an estimated regression equation that can be used to predict risk. Use x1 for age, x2 for blood pressure, and x3 for whether a person is a smoker. (Round your constant term to one decimal place and coefficients to three decimal places.)
I got -31.1+.409x+.168x2+16.9x3 as the answer on excel sheet but it said it was wrong.
The correct output for this is:
Hence,
Regression equation will be:
y = -91.8 + 1.077 x1 + 0.252 x2 + 8.740 x3
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