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. Statistics OR Statistics OR Statistics OR Statistics OR 86 81 96 94 84 85 75 70 75 81 83 80 71 72 71 73 69 75 86 81 62 65 76 72 75 81 71 76 90 93 84 80 90 92 65 72 83 81 97 98 (a) Find the regression line relating the statistics final average (y) to the OR final average (x). Express results to 2 decimal places. y = X (b) Test for significance of regression using a = 0.05. Calculate fo: i . (Express result to 1 decimal place.) Is the model significant?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(c) Estimate the correlation coefficient. Express result to 2 decimal places.
r =
i
(d) Test the hypothesis Ho: p
= 0 versus H1: p + 0, using a =
0.05.
Calculate to: i
. (Express result to 1 decimal place.)
Is the correlation coefficient sufficiently different from zero?
(e) Test the hypothesis Ho: p
= 0.5 versus H1:p + 0.5, using a =
0.05.
Calculate zo:
i
. (Express result to 2 decimal places.)
Is the correlation coefficient sufficiently different from 0.5?
(f) Construct a 95% confidence interval for the correlation coefficient. Express result to 2 decimal places.
Transcribed Image Text:(c) Estimate the correlation coefficient. Express result to 2 decimal places. r = i (d) Test the hypothesis Ho: p = 0 versus H1: p + 0, using a = 0.05. Calculate to: i . (Express result to 1 decimal place.) Is the correlation coefficient sufficiently different from zero? (e) Test the hypothesis Ho: p = 0.5 versus H1:p + 0.5, using a = 0.05. Calculate zo: i . (Express result to 2 decimal places.) Is the correlation coefficient sufficiently different from 0.5? (f) Construct a 95% confidence interval for the correlation coefficient. Express result to 2 decimal places.
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.
Statistics
OR
Statistics OR
Statistics
OR
Statistics OR
86
81
96
94
84
85
75
70
75
81
83
80
71
72
71
73
69
75
86
81
62
65
76
72
75
81
71
76
90
93
84
80
90
92
65
72
83
81
97
98
(a) Find the regression line relating the statistics final average (y) to the OR final average (x). Express results to 2 decimal places.
i
i
(b) Test for significance of regression using a =
0.05.
Calculate fo: i
. (Express result to 1 decimal place.)
Is the model significant?
Transcribed Image Text: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. Statistics OR Statistics OR Statistics OR Statistics OR 86 81 96 94 84 85 75 70 75 81 83 80 71 72 71 73 69 75 86 81 62 65 76 72 75 81 71 76 90 93 84 80 90 92 65 72 83 81 97 98 (a) Find the regression line relating the statistics final average (y) to the OR final average (x). Express results to 2 decimal places. i i (b) Test for significance of regression using a = 0.05. Calculate fo: i . (Express result to 1 decimal place.) Is the model significant?
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