Question

The equation used to predict college gpa​ (range 0-4.0) is modifyingabove y with caret equals 0.18 plus 0.54 x 1 plus 0.002 x 2​, where x1 is high school gpa​ (range 0-4.0) and x2 is college board score​ (range 200-800). use the multiple regression equation to predict college gpa for a high school gpa of 3.5 and a college board score of 600

Answer 1

The college GPA for a high school GPA of 3.5 and a college board score of 600 will be 3.27

The equation to predict college GPA is:

$y= 0.18 +0.54x1 +0.002x2$

where x1 is high school GPA and x2 is the college board score

According to the question, here x1 = 3.5 and x2 = 600

So, we will just plug the values of x1 and x2 into the equation.

$y = 0.18 + (0.54*3.5)+(0.002*600)\\ \\ y= 0.18 +1.89 +1.2\\ \\ y= 3.27$

So, the college GPA for a high school GPA of 3.5 and a college board score of 600 is 3.27