A professor is interested in determining the impact of hours worked per day by students (variable X) on final quiz scores (Y). A random sample of ten students is taken with the following results on X and Y:

X     Y

0    10

8     0

2     9

6     7

6     3

0    10

4     5

2     7

8     3

4     5

1. Determine the simple regression equation (by hand) that best fits this data.

2. Calculate and interpret the R-Square and the adjusted R-Square for this model.

3. Using a 0.05 level of significance, test to see if this is a good or bad model using the correlation test.

4. Using a 0.05 level of significance, test to see if this is a good or bad model using the t-test on slope.

5. Using a 0.05 level of significance, test to see if this is a good or bad model using the F-test on slope.

6. Looking over your full results, what can you conclude about the relationship between hours worked per day (X) and final quiz scores (Y)?