In a study to predict first-year college GPA, you collect data on first-year college GPA (on a 4.0 scale), high school GPA (on a 4.0 scale), and whether each subject is a first-generation college student (1 = student is the first in their family to attend college, 0 = otherwise). You fit an ANCOVA model to predict first-year college GPA based on high school GPA and first-generation status. The fitted model is given as follows:

(GPA) = E (GPA|HSGPA,FirstGen) = 1.16 + 0.57HSGPA - 0.27FirstGen)

1.If you were to visualize this model, what would you see?

a.One regression line

b.Two regression lines with the same slope but different intercepts

c.Two regression lines with different slopes and different intercepts

d.It is impossible to tell

2.Interpret the coefficient forHSGPA(0.57) in context.

3.Interpret the coefficient for(-0.27) in context.