Question

In: Statistics and Probability

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
5 4
8 5
5 6
8 6
11 5
4 6
3 3
7 5
2 11
12 3

(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)

r=-0.473(rounded)

(B)

coefficient of determenation=R^2=(r)^2

=(-0.4733)^2

=0.22401289

=0.224(rounded)

(C)

the p value is (0.3974) is gretaer than alpha value(0.05) then option a is correct

retain the null hypothesis


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