Predicting college GPA An admissions officer claims that at his college the regression equation yn = 0.5 + 7x approximates the relationship between y = college GPA and x = high school GPA, both measured on a fourpoint scale.

a. Sketch this equation between x = 0 and 4, labeling the x- and y-axes. Is this equation realistic? Why or why not?

b. Suppose that actually yn = 0.5 + 0.7x. Predict the GPA for two students having GPAs of 3.0 and 4.0.

Interpret and explain how the difference between these two predictions relates to the slope.