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.

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 65-year-old smoker who has a blood pressure of 176?

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)