3. 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...

Extracted text: 3. 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: Placement Test Course Grade | Placement Test | Course Grade 50 53 90 54 35 35 41 80 60 91 61 48 40 56 60 71 55 68 60 71 65 36 40 47 35 11 55 53 60 70 50 68 90 79 65 57 35 59 50 79 (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 this course?