admissions offices would like to have a sense of the candidate's standardized test capabilities, so they might make an effort to predict the candidate's SAT score (the average of the reading and math sections). The students that have submitted their scores serve as the training database and the students that have not submitted their test scores are then part of an out of sample prediction process. One consulting firm assembled a database of almost eight million observations. Its simplest model used only two predictors, The high school quality indicator which ranges from zero to one and includes the effect of grade inflation at the particular high school, and the student's GPA on a 4.0 scale. Variable Mean Standard Deviation SATScore 520.1 45.7 Quality 0.5 0.24 GPA 3.2 0.8 After standardizing Quality and GPA and subtracting the sample mean from SATScore, the estimated regression is: = 39.7 20.7 , = 51.0 (a) (5p) As an assistant in the Admissions office, you are asked to use the estimated regression to predict SAT scores for an out-of-sample candidate with Quality = 0.62 and GPA = 3.1. Compute the transformed (standardized) values of Quality and GPA for this candidate. Also compute