Question

A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study.

Internet Use	Social Interaction
X	Y
6	5
7	6
4	7
6	5
11	5
4	6
4	2
6	5
3	9
11	4

(a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.)


(b) Compute the coefficient of determination. (Round your answer to three decimal places.)


(c) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis.

Retain the null hypothesis.

Reject the null hypothesis.    

Answer 1

The statistic software output for this problem is:

(a)

Pearson correlation coefficient = -0.360

(b)

the coefficient of determination = 0.130

(c)

P-value > 0.05

Do not reject the null hypothesis