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
7	5
8	7
4	8
8	7
12	5
5	7
4	2
7	6
1	10
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

a) The Pearson correlation coefficient is r = -0.458

b) The coefficient of determination is r² = -0.458² = 0.210

c) Let denotes the true correlation coefficient between Internet use (hours per week) and social interaction (hours per week).