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. Find: (1) Plot a scatter diagram. (2) The equation of the regression line to predict course

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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.

Find:

(1) Plot a scatter diagram.

(2) The equation of the regression line to predict course grades from placement test scores.

(3) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course? (See attached picture.)

 

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