Question

W represents aptitude test scores and Y represents grade point average in college. If the regression line for the relationship between these two variables is Ŷ = 1.2 + .005W, what GPA would you predict for people who scored each of the following scores on the aptitude test?

a. 159
b. 300
c. 500
d. 550

Answer 1

a) 1.995

b) 2.7

c) 3.7

d) 3.95

Explanation:

We are given the following information in the question:

`Y = 1.2 + 0.005(W)`

is the regression line for the relationship between W and Y, where W represents aptitude test scores and Y represents grade point average in college.

We have to predict GPA for people who scored each of the following scores on the aptitude test:

a) 159

`Y(159) = 1.2 + 0.005(159) = 1.995`

b) 300

`Y(300) = 1.2 + 0.005(300) = 2.7`

c) 500

`Y(500) = 1.2 + 0.005(500) = 3.7`

d) 550

`Y(550) = 1.2 + 0.005(550) = 3.95`