2. (35 Points) Consider the following dataset obtained from a sample. 1 80 3 97 4 92 4 102 103 111 10 119 10 123 11 117 13 136

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2. (35 Points) Consider the following dataset obtained from a sample.
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 æ 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:2. (35 Points) Consider the following dataset obtained from a sample. 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 æ 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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