Question 144763: A 10-year study conducted by the American Heart Association provided data on how age related to the risk of strokes. Suppose that the following data was obtained in a follow-up study. Risk is interpreted as the probability that the patient will have a stroke over the next 10-year,
Patient Risk Age
1
12
57
2
24
67
3
13
58
4
56
86
5
28
59
6
51
76
7
31
78
8
18
56
9
37
80
10
15
78
11
22
71
12
36
70
13
15
67
14
48
77
15
15
60
16
36
82
17
8
66
18
34
80
19
3
62
20
37
59
a) Develop an estimated regression equation that can be used to relate the risk of a stroke to the person’s age.
b) Is the relationship between risk and age significant at the 95% confidence level?
c) Compute the correlation coefficient and interpret the result.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A 10-year study conducted by the American Heart Association provided data on how age related to the risk of strokes. Suppose that the following data was obtained in a follow-up study. Risk is interpreted as the probability that the patient will have a stroke over the next 10-year,
Patient Risk Age
1
12
57
2
24
67
3
13
58
4
56
86
5
28
59
6
51
76
7
31
78
8
18
56
9
37
80
10
15
78
11
22
71
12
36
70
13
15
67
14
48
77
15
15
60
16
36
82
17
8
66
18
34
80
19
3
62
20
37
59
------------
I ran a Linear Regression function on a TI calculator to find
the following:
a) Develop an estimated regression equation that can be used to relate the risk of a stroke to the person’s age.
Ans: age = 58.103 + (0.4210)(risk)
b) Is the relationship between risk and age significant at the 95% confidence level?
Critical value for n=20 and alpha = 5% is 0.444
Since r=0.65.. > 0.444, reject Ho, which claimed there was no linear
relation, and conclude there is a significant linear relation between
age and risk.
c) Compute the correlation coefficient and interpret the result.
r = 0.6502...
r is a measure of the linear correlation between age and risk.
r^2 is the proportion of the variation in age that is explained
by the linear relationship between risk and age.
==============
cheers,
Stan H.
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