Suppose you have many observations of the scores students got on a G350 exam, with other characteristics of the students including how many hours they studied for the exam that week and what is their current major GPA. Now, suppose you ran the standard linear regression of the exam grade on the number of hours studied: Gradei= β0+ β1 Hours Studiedi + ηi and got an estimate of β1, call it 푏푏1. Now, suppose a colleague tells you that the students with above average GPAs, were the students who studied more for the G350 exam. How does your estimate of 훽훽2∗in the following regression Gradei = 훽훽0∗ + 훽훽1∗ Hours Studiedi+훽훽2∗ Major GPAi+εi inform you of what your estimate of what 훽훽1∗ will be for that same regression?