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
12	57	150	No
26	60	165	No
11	59	155	No
57	86	170	Yes
28	59	196	Yes
50	76	189	Yes
17	56	155	Yes
32	78	120	No
37	80	135	No
15	78	98	No
22	71	152	No
36	70	173	Yes
15	67	135	Yes
48	77	209	Yes
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.

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

(c)	What is the probability of a stroke over the next 10 years for Art Speen, a 65-year-old smoker who has a blood pressure of 174?
	If required, round your answer to two decimal places.

What action might the physician recommend for this patient?

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

Answer 1