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	3
9	6
5	6
8	7
12	4
3	8
2	3
7	6
1	9
12	2

(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 statistical software output for this problem is :

(a)

Pearson correlation coefficient = -0.526

(b)

coefficient of determination = 0.276

(c)

P-value > 0.05

Retain the null hypothesis