1. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follo that the final averages are jointly normally distributed. Find the regression line relating the statistics final average to the OR final average. Statistics 86 75 69 75 90 OR 80 81 75 81 92 Statistics 94 83 86 71 65 OR 95 80 81 76 72 Statistics 84 71 62 90 83 OR 85 72 65 93 81 Statistics 75 71 76 84 97 OR 70 73 72 80 98

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
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Solve the following statistical problems using correlation.

1. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume
that the final averages are jointly normally distributed.
Find the regression line relating the statistics final average to the OR final average.
Statistics
86
75
69
75
90
OR
80
81
75
81
92
Statistics
94
83
86
71
65
OR
95
80
81
76
72
Statistics
84
71
62
90
83
OR
85
72
65
93
81
Statistics
75
71
76
84
97
OR
70
73
72
80
98
(c) Manually compute for the correlation coefficient.
Transcribed Image Text:1. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly normally distributed. Find the regression line relating the statistics final average to the OR final average. Statistics 86 75 69 75 90 OR 80 81 75 81 92 Statistics 94 83 86 71 65 OR 95 80 81 76 72 Statistics 84 71 62 90 83 OR 85 72 65 93 81 Statistics 75 71 76 84 97 OR 70 73 72 80 98 (c) Manually compute for the correlation coefficient.
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