An Academic Aptitude Test (X) Is Used by Enormous University $( \hat { Y } )$

Essay

An academic aptitude test (X) is used by Enormous University to predict grade-point averages $( \hat { Y } )$ for prospective students. For these two variables $$\begin{array} { l l } r = .50 & S _ { X } = 4.62 \\\bar { X } = 28 & S y = 1.16 \\\bar { Y } = 2.13 &\end{array}$$