5. The admissions committee for TAMU has decided on the following model for admitting most of its students: 3),; = 30 + 31HSGPAi + zSATi + B3iSportsi, where the response variable is the student's college GPA; HSGPA is the student's high school GPA; SAT is the student's SAT score; and iSports is an indicator of Whether the student played sports in high school. As long as students' predicted GPA is higher than 2.5, students are admitted. Which of the following is the geometric interpretation of this model? (a) Two parallel lines (b) Two lines that cross (c) Two parabolas (d) Two parallel planes (e) Two planes that intersect 6. The same admissions committee from the previous problem is interested in tting an interaction be- tween HSGPA and SAT. What will this imply? (a) High school GPA and SAT score are substantially correlated with each other. (b) The slope for HSGPA and the slope for SAT are different. (c) When SAT scores are added to the model, the slope for high school GPA changes. (d) The relationship between high school GPA and college GPA differs depending on the value of SAT scores