In: Statistics and Probability
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.
(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