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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.

Click on the datafile logo to reference the data.

Risk	Age	Blood Pressure	Smoker
12	57	152	No
24	67	163	No
13	58	155	No
56	86	177	Yes
28	59	196	No
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
37	59	207	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.

Letx₁represent the person's age.

Letx₂represent the person's blood pressure.

Letx₃represent whether the person is a smoker.

If required, round your answers to four 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 68-year-old smoker who has a blood pressure of 175?

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

- Select your answer -Option (i)Option (ii)Option (iii)Option (iv)Item 8