A recent 10-year study conducted by a research team at the Medical School was co
ID: 3058226 • Letter: A
Question
A recent 10-year study conducted by a research team at the Medical School was conducted to assess how age, 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 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, blood pressure, and whether the person is a smoker. Let x1 represent the person's age. Let x2 represent the person's 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) = + x1 + x2 + x3 (b) Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (c) What is the probability of a stroke over the next 10 years for Art Speen, a 67-year-old smoker who has a blood pressure of 169? If required, round your answer to two decimal places. What action might the physician recommend for this patient? The input in the box below will not be graded, but may be reviewed and considered by your instructor. (d) What other factors could be included in the model as independent variables? (i) Family History of Stroke (ii) Weight/obesity (iii) Gender (iv) All of the above
Explanation / Answer
A recent 10-year study conducted by a research team at the Medical School was conducted to assess how age, 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 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, blood pressure, and whether the person is a smoker. Let x1 represent the person's age. Let x2 represent the person's 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) = + x1 + x2 + x3 (b) Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (c) What is the probability of a stroke over the next 10 years for Art Speen, a 67-year-old smoker who has a blood pressure of 169? If required, round your answer to two decimal places. What action might the physician recommend for this patient? The input in the box below will not be graded, but may be reviewed and considered by your instructor. (d) What other factors could be included in the model as independent variables? (i) Family History of Stroke (ii) Weight/obesity (iii) Gender (iv) All of the above
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