As part of a study at a large university, data were collected on n = 224 freshmen computer science (cs) majors in a particular year. the researchers were interested in modeling y, a student's grade point average (gpa) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university):

x1 = average high school grade in mathematics (hsm)
x2 = average high school grade in science (hss)
x3 = average high school grade in english (hse)
x4 = sat mathematics score (satm)
x5 = sat verbal score (satv)