Question

The regression equation relating high school GPA (x) and college GPA (y) for 100 randomly selected FAU students is y = 0.57x + 0.82. Use the equation to determine the college GPA of a student whose high school GPA is 2.5. Round your answer to two decimal places. (2 points)

a. 3.89
b. 2.62
c. 2.25
d. 1.17

Answer 1

c. 2.25

Explanation:

The expression that relates high school GPA (x) to college GPA (y) is:

`y(x)= 0.57x + 0.82`

To find the college GPA of student whose high school GPA is 2.5, simply plug in the value x=2.5 into the expression above:

`y(2.5)= 0.57*2.5 + 0.82\\y(2.5) = 2.25`

This student's college GPA is 2.25