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 11 58 152 Yes 24 65 163 No 13 58 155 No 56 86 177 Yes 27 59 196 Yes 51 76 189 Yes 18 56 155 Yes 31 78 120 No 37 80 135 Yes 15 78 98 No 22 71 152 No 36 70 173 Yes 15 67 135 Yes 48 77 209 Yes 15 60 199 No 36 82 119 Yes 8 66 166 No 34 80 125 Yes 3 62 117 No 38 59 209 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) = + x1 + x2 + x3 (b) Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance. We reject the hypothesis that β3 = 0, implying there sufficient evidence to conclude that smoking is a significant factor in the risk of a stroke. (c) What is the probability of a stroke over the next 10 years for Art Speen, a 65-year-old smoker who has a systolic blood pressure of 165? If required, round your answer to two decimal places. Do not round intermediate calculations. 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.

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 11 58 152 Yes 24 65 163 No 13 58 155 No 56 86 177 Yes 27 59 196 Yes 51 76 189 Yes 18 56 155 Yes 31 78 120 No 37 80 135 Yes 15 78 98 No 22 71 152 No 36 70 173 Yes 15 67 135 Yes 48 77 209 Yes 15 60 199 No 36 82 119 Yes 8 66 166 No 34 80 125 Yes 3 62 117 No 38 59 209 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) = + x1 + x2 + x3 (b) Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance. We reject the hypothesis that β3 = 0, implying there sufficient evidence to conclude that smoking is a significant factor in the risk of a stroke. (c) What is the probability of a stroke over the next 10 years for Art Speen, a 65-year-old smoker who has a systolic blood pressure of 165? If required, round your answer to two decimal places. Do not round intermediate calculations. 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

100%

Risk	Age	Systolic Blood Pressure	Smoker
11	58	152	Yes
24	65	163	No
13	58	155	No
56	86	177	Yes
27	59	196	Yes
51	76	189	Yes
18	56	155	Yes
31	78	120	No
37	80	135	Yes
15	78	98	No
22	71	152	No
36	70	173	Yes
15	67	135	Yes
48	77	209	Yes
15	60	199	No
36	82	119	Yes
8	66	166	No
34	80	125	Yes
3	62	117	No
38	59	209	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)

= + x₁ + x₂ + x₃

(b)

Is smoking a significant factor in the risk of a stroke? Explain. Use a 0.05 level of significance.

We reject the hypothesis that β₃ = 0, implying there sufficient evidence to conclude that smoking is a significant factor in the risk of a stroke.

(c)

What is the probability of a stroke over the next 10 years for Art Speen, a 65-year-old smoker who has a systolic blood pressure of 165?

If required, round your answer to two decimal places. Do not round intermediate calculations.

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)

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 29 years old or younger.
(ii)	The person must be at least 29 years old.
(iii)	No smoker can qualify for a Select policy.
(iv)	With this blood pressure measure, this person cannot qualify for a Select policy.