Given that the regression equation is Ŷ = .5X + 25 and the standard error of estimate is 3, what is the range of scores that would capture a person's true Y score 68% of the time, if that person had an X score of 30?
A) 27-33
B) 37-43
C) 37-53
D) 34-46

Question

Quizplus · Accepted Answer

Given the regression equation Ŷ = .5X + 25, for an X score of 30, the predicted Y (Ŷ) would be (.5*30) + 25 = 15 + 25 = 40. For 68% of the time (which corresponds to roughly one standard deviation on either side of the mean in a normal distribution), the range would be Ŷ ± the standard error of estimate. Therefore, the range is 40 ± 3, which gives us 37 to 43.

Given That the Regression Equation Is Ŷ =