Compute the Pearson correlation coefficient b.  Compute the coefficient of determination  c.  Using a two-tailed test at the .05 level of significance, state the decision to reject or fail to reject the null hypothesis.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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 A therapist specializing in family counseling measures the relationship between partners and marital satisfaction.  Husbands and wives rated how satisfied they were in their marriage using a 7-point rating scale ranging from 1 (not satisfied at all) to 9 (very satisfied).  Using the hypothetical data given in the following table, compute the Pearson correlation coefficient.

 

Internet Use

(X)

Social Interaction

(Y)

6

4

8

6

5

7

7

6

12

5

4

7

3

3

6

5

2

10

11

3

 

a.  Compute the Pearson correlation coefficient

b.  Compute the coefficient of determination 

c.  Using a two-tailed test at the .05 level of significance, state the decision to reject or fail to reject the null hypothesis.

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