In: Statistics and Probability
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 (100 times ) 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 | ||
20 | 83 | 196 | 1 | ||
36 | 65 | 132 | 1 | ||
14 | 66 | 112 | 0 | ||
63 | 56 | 142 | 0 | ||
26 | 69 | 137 | 0 | ||
47 | 79 | 143 | 1 | ||
7 | 66 | 111 | 1 | ||
26 | 77 | 212 | 0 | ||
33 | 74 | 150 | 1 | ||
23 | 87 | 143 | 0 | ||
38 | 82 | 141 | 0 | ||
36 | 71 | 145 | 0 | ||
22 | 55 | 103 | 0 | ||
59 | 63 | 218 | 0 | ||
36 | 64 | 198 | 1 | ||
35 | 66 | 217 | 1 | ||
37 | 65 | 118 | 0 | ||
37 | 77 | 118 | 0 | ||
16 | 88 | 200 | 1 | ||
39 | 78 | 107 | 0 |
a. Develop an estimated regression equation that can be used to predict the risk of stroke given the age and blood pressure level. Enter negative value as negative number. Use Table 4 in Appendix B.
The regression equation is (to 4 decimals) | ||||||||||||||||||||||||
|
||||||||||||||||||||||||
Analysis of Variance | ||||||||||||||||||||||||
|
b. Consider adding two independent variables to the model developed in part (a), one for the interaction between age and blood pressure level and the other for whether the person is a smoker. Develop an estimated regression equation using these four independent variables. Enter negative value as negative number. Use Table 4 in Appendix B.
The regression equation is (to 4 decimals) | |||||||||||||||||||||||
risk= | |||||||||||||||||||||||
|
|||||||||||||||||||||||
Analysis of Variance | |||||||||||||||||||||||
|
-----------------------------------------------------------------------------------------------------------------------------------------------------------------
---------------------------------------------------------------------------------------------------------------------------------------------------------------