Refer to the analysis of data from College Choice 2015 Rankings of National Research Universities, Exercise 12.20. You fit a first-order multiple regression model to predict academic reputation score (y) using financial aid awarded (x1), net cost (x2), early career salary (x3), work makes a better place percentage (x4), and percentage of STEM degrees (x5). Now use statistical software to find and interpret a 95% prediction interval for the academic reputation score of a university with the following characteristics: x1 = $23,368, x2 = $32,868, x3 = $49,100, x4 = 46%, and x5 = 12%.