Sean is interested in understanding who does well and who does poorly in statistics courses. Sean collects data from 100 students in his statistics course. Besides their performance on his exams in the course, he obtains students' scores on math and English aptitude tests that students took in their senior year of high school and their high school grade point averages in math, English, and all other courses. The variables in the data set are shown in Table. variable Definition
mathtest Score on a math aptitude test taken senior year of high school
engtest Score on an English aptitude test taken senior year of high school
eng_gpa High school GPA in English courses
math_gpa High school GPA in math courses
Other_gpa High school GPA in courses other than English and math
statexam Average percentage correct on exams in a college statistics course

Sean wants to address the following research questions: (a) How well do high school test scores and grade point averages predict test performance in a statistics course? (b) Is it necessary to have both high school test scores and grade point averages as predictors of exams scores in statistics? Conduct the appropriate regression analysis to answer these questions.

What is the contribution of high school grade point averages over and above high school test scores? Report the appropriate statistic from the output.