A regression analysis of data from some of our statistics classes yielded the following regression equation for the independent variable (hours studied) and the dependent variable (grade point average [GPA]): Y ̂ = 2.96 + 0.02(X ). 

a. If you plan to study 8 hours per week, what would you predict your GPA will be? 

b. If you plan to study 10 hours per week, what would you predict your GPA will be? 

c. If you plan to study 11 hours per week, what would you predict your GPA will be? 

d. Create a graph and draw the regression line based on these three pairs of scores. 

e. Do some algebra, and determine the number of hours you’d have to study to have a predicted GPA of the maximum possible, 4.0. Why is it misleading to make predictions for anyone who plans to study this many hours (or more)?