Question

2. A recent study conducted by a research team at the University Medical School was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of strokes. The data is is found in the worksheet Stroke data.

a. Which variables are the explanatory (independent) variables?

b. Which variable is the response (dependent) variable?

Run the correlation analysis to produce the correlation matrix.

c. Write an interpretation of the correlation matrix.

d. At this point are there any variables that you might consider leaving out of the regression analysis? Why or Why not?

Run the regression analysis with ALL of the data

d. What is the coefficient of multiple determination – how would you interpret it?          

e. What are the hypotheses for the Global Test?

f. What is your conclusion from the Global Test – what do you base your conclusion on?

g. What are the p-values for the individual slopes and your conclusion for each?

h. What is the regression formula that expresses the relationship between Stroke Risk and the other variables?

i. Using your regression formula, predict the Stroke Risk for someone who is 55 years old, has a blood pressure of 165 and is not a smoker.

j. Using your regression formula, predict the Stroke Risk for someone who is 78 years old, has a blood pressure of 195 and is a smoker.

Stroke 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

Answer 1