Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program and their current GPAs.

Entering GPA, Current GPA
3.5 ...........3.5
3.8 ..............3.6
3.9............3.5
3.7............3.9
4 ..............3.5
4 ..............3.7
3.6...............3.6
3.9...............3.6
3.7...............4
4..................3.9

a. Test the appropriate hypotheses and determine the linear regression model for the data.
b. Graph the regression model.
c. How well does the model represent the relationship between the variables?
d. What does the slope for the regression model represent?
e. Use the regression equation to predict the current GPA of a student with an entering GPA of 3.6.