Couple |
Spouse 1 |
Spouse 2 |
A |
11 |
15 |
B |
6 |
4 |
C |
18 |
20 |
D |
4 |
6 |
E |
1 |
3 |
F |
10 |
11 |
G |
5 |
5 |
H |
3 |
7 |
Spouse 1, X | Spouse 2, Y | X* Y | X^2 | Y^2 |
11 | 15 | 165 | 121 | 225 |
6 | 4 | 24 | 36 | 16 |
18 | 20 | 360 | 324 | 400 |
4 | 6 | 24 | 16 | 36 |
1 | 3 | 3 | 1 | 9 |
10 | 11 | 110 | 100 | 121 |
5 | 5 | 25 | 25 | 25 |
3 | 7 | 21 | 9 | 49 |
58 | 71 | 732 | 632 | 881 |
a)
The correlation coefficient is given by
and
Substituting the values from the table, we get
So, the correlation between the attitude of two spouses is 0.943
b)
R^{2} = 0.943^{2} = 0.88951
88.95% variability in Spouse 2’s attitude is explained by Spouse 1’s attitude
Please let me know if you have any doubts. Happy to help. Please thumbs up if you like the solution. Thanks
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