Write your complete solutions. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in the table below. Assume that the final averages are jointly normally distributed. (a) Find the regression line relating the statistics final average to the OR final average. Graph the data. (b) Test for significance of regression using a = 0.05. (c) Estimate the correlation coefficient.

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Write your complete solutions.
The final test and exam averages for 20 randomly selected students taking a course in
engineering statistics and a course in operations research are in the table below.
Assume that the final averages are jointly normally distributed.
(a) Find the regression line relating the statistics final average to the OR final average.
Graph the data.
(b) Test for significance of regression using a = 0.05.
(c) Estimate the correlation coefficient.
(d) Test the hypothesis that p = 0, using a = 0.05.
(e) Test the hypothesis that p = 0.5, using a = 0.05.
equations on this slide to answer the question)
(f) Construct a 95% confidence interval for the correlation coefficient.
Statistics OR Statistics OR Statistics OR
86
80
86
81
83
81
75
81
71
76
75
69
75
65
72
71
75
81
84
85
90
92
71
72
94
95
62
65
83
80
90
93
76
84
97
70
73
72
80
98
Transcribed Image Text:Write your complete solutions. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in the table below. Assume that the final averages are jointly normally distributed. (a) Find the regression line relating the statistics final average to the OR final average. Graph the data. (b) Test for significance of regression using a = 0.05. (c) Estimate the correlation coefficient. (d) Test the hypothesis that p = 0, using a = 0.05. (e) Test the hypothesis that p = 0.5, using a = 0.05. equations on this slide to answer the question) (f) Construct a 95% confidence interval for the correlation coefficient. Statistics OR Statistics OR Statistics OR 86 80 86 81 83 81 75 81 71 76 75 69 75 65 72 71 75 81 84 85 90 92 71 72 94 95 62 65 83 80 90 93 76 84 97 70 73 72 80 98
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