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. The placement test scores and the final grades for 20 students who took the regular course were recorded as follows:(a) Plot a scatter diagram.(b) Find the equation of the regression line to predict course grades from placement test scores.(c) Graph the line on the scatter diagram.(d) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to thiscourse?

Placement Test 50 Course Grade 53 35 41 61 35 40 55 56 68 36 65 11 35 60 90 70 79 59 54 91 35 90 80 48 60 71 60 71 60 40 47 53 55 68 50 57 65 79 50