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.

Placement Test 89 81 65 90 35 55 40

Course Grade 78 90 76 55 60 68 56

(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) Calculate coefficient of determination.

(e) Calculate SSE.