In: Statistics and Probability
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.



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