Question: (24 points) A statistics professor has devised a diagnostic quiz, which, when given during the first class, can accurately predict a student's performance on the final exam. So far data are available for 10 students as follow:

Student Quiz Score Final Exam Score

1 5 82

2 8 80

3 3 75

4 1 60

5 10 92

6 6 85

7 7 86

8 4 70

9 2 42

10 6 78

1. Find the correlation coefficient r.
2. Find the test statistic t for testing the statistical significance of r.
3. Find the critical t value for a two-tailed test, with \(\alpha \) = 0.05. Is the r value you found statistically significant?
4. Find the regression equation for predicting the final exam score from the quiz.
5. What final exam score would be predicted for a student who scored a 9 on the quiz?

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document