Scenario: A mathematics placement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. A study about the correlation between the placement scores and the final course grade is being written and the placement test scores and final grades for a group of students who took the regular course were recorded as follows: Placement Course Test Grade 50 53 35 41 35 61 40 56 55 68 65 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 71 60 71 2 40 47 55 53 50 68 65 57 50 79 Formulate the equation of the regression line to predict the course grades given the placement scores. (Show your complete solution) If 60 is the minimum passing grade in the course, below which placement test score should students in the future be denied admission to this course?