Question

In: Statistics and Probability

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

7.) 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
8 5
6 8
8 6
13 5
5 6
2 3
7 6
3 10
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.    

Solutions

Expert Solution

a)coefficient of correlation r=-0.3893

b)coefficient of determination r²=0.1515

c)

p value > 0.05 fail to reject H0

retain Ho


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