Use the following data for problem 4:

x y x y x*y

0 10

3 10

7 9

10 8

12 8

4.a Make a scatter plot.

4.b Calculate the slope and intercept of the best fit line.

4.c Write the equation of the best fit line.

4.d Predict the most likely value of y for x = 8.

4.e Would it be reasonable to predict y for x = 11? To get full credit give a reason for your answer.

4.f Calculate r, the correlation coefficient.

4.g Based on your answer to 4.f, what proportion of the variability in y is explained by the relationship between x and y?