ssure. er. al places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) X1 + x2 + X3 troke? Explain. Use a 0.05 level of significance. pothesis that B3 = 0, implying there - Select your answer - sufficient evidence to conclude that smoking is a significant factor in t t 10 years for Art Speen, a 68-year-old smoker who has a systolic blood pressure of 176? places. Do not round intermediate calculations. r this patient? but may be reviewed and considered by your instructor. olicy to people for whom the probability of a stroke in the next ten years is less than .01. If a smoker with a systolic blood pressure of 2 this standard?

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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
10
25
12
28
50
17
32
37
15
22
36
15
48
15
36
8
34
4
38
Age
58
65
58
86
59
76
56
78
80
78
71
70
67
77
60
82
66
80
62
59
Systolic
Blood
Pressure
152
163
155
177
196
189
155
120
135
98
152
173
135
209
199
119
166
125
117
209
Smoker
Yes
No
No
Yes
Yes
Yes
Yes
No
No
No
No
Yes
Yes
Yes
No
Yes
No
No
No
Yes
Transcribed Image Text: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 10 25 12 28 50 17 32 37 15 22 36 15 48 15 36 8 34 4 38 Age 58 65 58 86 59 76 56 78 80 78 71 70 67 77 60 82 66 80 62 59 Systolic Blood Pressure 152 163 155 177 196 189 155 120 135 98 152 173 135 209 199 119 166 125 117 209 Smoker Yes No No Yes Yes Yes Yes No No No No Yes Yes Yes No Yes No No No 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)
ŷ
X1 +
+
X2 +
(b) Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance.
We - Select your answer - reject the hypothesis that B3 = 0, implying there - Select your answer - ✓ sufficient evidence to conclude that smoking is a significant factor in the risk of a stroke.
X3
(c) What is the probability of a stroke over the next 10 years for Art Speen, a 68-year-old smoker who has a systolic blood pressure of 176?
If required, round your answer to two decimal places. Do not round intermediate calculations.
- Select your answer -
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.
blank
(d) An insurance company will only sell its Select policy to people for whom the probability of a stroke in the next ten years is less than .01. If a smoker with a systolic blood pressure of 230 applies for a Select policy, under what condition will
the company sell him the policy if it adheres to this standard?
(i) The person must be at least 33 years old.
(ii) With this blood pressure measure, this person cannot qualify for a Select policy.
(iii) The person must be 33 years old or younger.
(iv) No smoker can qualify for a Select policy.
V
(e) What other factors could be included in the model as independent variables? Choose the correct answer below.
(i) Family History of Stroke
(ii) Weight/obesity
(iii) Gender
(iv) All of the above
- Select your answer - V
Transcribed Image Text:(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) ŷ X1 + + X2 + (b) Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance. We - Select your answer - reject the hypothesis that B3 = 0, implying there - Select your answer - ✓ sufficient evidence to conclude that smoking is a significant factor in the risk of a stroke. X3 (c) What is the probability of a stroke over the next 10 years for Art Speen, a 68-year-old smoker who has a systolic blood pressure of 176? If required, round your answer to two decimal places. Do not round intermediate calculations. - Select your answer - 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. blank (d) An insurance company will only sell its Select policy to people for whom the probability of a stroke in the next ten years is less than .01. If a smoker with a systolic blood pressure of 230 applies for a Select policy, under what condition will the company sell him the policy if it adheres to this standard? (i) The person must be at least 33 years old. (ii) With this blood pressure measure, this person cannot qualify for a Select policy. (iii) The person must be 33 years old or younger. (iv) No smoker can qualify for a Select policy. V (e) What other factors could be included in the model as independent variables? Choose the correct answer below. (i) Family History of Stroke (ii) Weight/obesity (iii) Gender (iv) All of the above - Select your answer - V
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