Exercise 11.8: 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.
(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?
Placement Test
Course Grade
50
53
35
41
61
40
56
55
68
65
36
11
60
70
90
79
59
54
80
91
48
71
47
57
Test the hypothesis that β0= 10 in Exercise 11.8 against the alternative that β0< 10.="" use="" a="" 0.05="" level="" of="">
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