Show all computations; you may use excel to verify your answer only and the second part of e.

X= additional number of studying hours 4 3 8 7 8 11 14

Y= Grade improvement 5 5 9 8 10 13 16

a. Draw a scatter diagram and speculate on the linear relationship between x and y

b. Find the coefficient of correlation and Comment on it. Use the formula learned in class and show all steps and calculations

c. Compute the coefficient of determination and tell us what that means. Use the formula learned in class and show all steps

d. Find the equation of the regression line. Use the formula learned in class and show all steps

e. Use the regression model to compute the value of to find the value of Y if x = 10.5 (Show work); is this a case of "garbage in garbage out" and why? use alpha = 0.05 (you can use Excel to help you with the decision)?