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. (b) 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 35 35 53 41 61 40 55 65 56 68 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 60 71 71 40 47 55 53 68 57 50 65 50 79

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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.
(b) 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
35
61
40
56
55
68
65
36
35
11
70
60
90
79
35
59
90
54
80
91
48
60
71
71
47
60
60
40
55
53
50
68
57
65
50
79
Transcribed Image Text: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. (b) 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 35 61 40 56 55 68 65 36 35 11 70 60 90 79 35 59 90 54 80 91 48 60 71 71 47 60 60 40 55 53 50 68 57 65 50 79
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