Question

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

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 3
8 6
6 6
7 6
13 4
5 6
4 2
7 4
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.)

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Answer #1

The statistical software output for this problem is:

Simple linear regression results: Dependent Variable: Y Independent Variable: X Y = 7.1216216 - 0.2972973 X Sample size: 10 R

Hence,

a) Pearson correlation coefficient = -0.452

b) Coefficient of determination = 0.204

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