The following equation was used to predict the first-year grade point average (GPA)

for students enrolling at a highly selective liberal arts college:

where Y is the student’s first-year college GPA (average 3.0); X₁ is the student’s high school GPA (average 3.7); X₂ is the reading SAT score (average 591); and X₃ is the math SAT score (average 629).

a. What is the predicted first-year college GPA for a student with a 3.7 high school GPA, 591 reading SAT score, and 629 math SAT score?

b. What is the predicted first-year college GPA for a student with a 4.0 high school GPA, 800 reading SAT score, and 800 math SAT score?

c. Why should we be cautious in using this equation to predict the first-year college GPA for a student with a 1.0 high school GPA, 200 reading SAT, and 200 math SAT?

d. Using ordinary English, compare the coefficients of X₂ and X₃.

Transcribed Image Text:

Y = 0.437+0.361X1 +0.0014X2 +0.0007X3