A researcher measures the relationship between Internet use (hours per week) and

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 6 8 6 7 8 7 4 13 3 6 10 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. O Retain the null hypothesis. Reject the null hypothesis.

Explanation / Answer

The statistical software output for this problem is:

Correlation between X and Y is:
-0.5209381

Hence,

a) Correlation coefficient = -0.521

b) Coefficient of determination = (-0.521)2 = 0.271

c) Retain the null hypothesis

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