Question: A regression analysis of data from some of our statistics class yielded the following regression equation for the independent variable, hours studied, and the depend variable, (GPA) \[\overset{\hat{\ }}{\mathop Y}\,=2.96+0.02(X)\]

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

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

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

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

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