Consider the following dataset obtained from a sample. 1 80 3 97 4. 92 4 102 103 8 111 10 119 10 123 11 117 13 136 (a) Compute the estimated linear regression coefficients to predict y using x values. (b) Using the estimated regression line found in the previous part, predict the value of y if x equals to 7. (c) Compute SSE, SST, and SSR. Then, also compute the resulting coefficient of determination and comment on the goodness of fit. (d) Conduct t-test to test the significance of the regression relationship with a = 0.05. (e) Conduct F-test to test the significance of the regression relationship with a = 0.05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the following dataset obtained from a sample.
1
80
3
97
4
92
102
6.
103
8
111
10
119
10
123
11
117
13
136
(a) Compute the estimated linear regression coefficients to predict y using x values.
(b) Using the estimated regression line found in the previous part, predict the value of y if x equals to 7.
(c) Compute SSE, SST, and SSR. Then, also compute the resulting coefficient of determination and
comment on the goodness of fit.
(d) Conduct t-test to test the significance of the regression relationship with a = 0.05.
(e) Conduct F-test to test the significance of the regression relationship with a = 0.05.
Transcribed Image Text:Consider the following dataset obtained from a sample. 1 80 3 97 4 92 102 6. 103 8 111 10 119 10 123 11 117 13 136 (a) Compute the estimated linear regression coefficients to predict y using x values. (b) Using the estimated regression line found in the previous part, predict the value of y if x equals to 7. (c) Compute SSE, SST, and SSR. Then, also compute the resulting coefficient of determination and comment on the goodness of fit. (d) Conduct t-test to test the significance of the regression relationship with a = 0.05. (e) Conduct F-test to test the significance of the regression relationship with a = 0.05.
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