a researcher developed a regression equation to predict first year college grade

Question

a researcher developed a regression equation to predict first year college grades (Y) from high school GPA (C) .62 X +e. how much higher of a college GPA is predicted for someone with a high school GOA of 3.8, as compared to someone with a high school HPA of 2.8? a researcher developed a regression equation to predict first year college grades (Y) from high school GPA (C) .62 X +e. how much higher of a college GPA is predicted for someone with a high school GOA of 3.8, as compared to someone with a high school HPA of 2.8?

Explanation / Answer

we know that the regression equation is

Y = 0.62X+ error

not when we put X = 3.8

0.62*3.8 = 2.356

and X = 2.8

0.62*2.8 = 1.736 , the error term is not given so we shall assume that it is same for the same model

difference in GPAs

2.356- 1.736 = 0.62

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