2. (35 Points) Consider the following dataset obtained from a sample. 1 54 3 61 4 65 4 63 69 8 79 10 88 10 81 11 94 13 95 (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 r equals to 7. (c) Compute SSE, SST, and SSR. Then, also compute the resulting coefficient of determination and comment on the goodness of fit.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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2. (35 Points) Consider the following dataset obtained from a sample.
1
54
3.
61
4
65
4
63
6.
69
79
10
88
10
81
11
94
13
95
(a) Compute the estimated linear regression coefficients to predict y using a values.
(b) Using the estimated regression line found in the previous part, predict the value of y if a 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. 1 54 3. 61 4 65 4 63 6. 69 79 10 88 10 81 11 94 13 95 (a) Compute the estimated linear regression coefficients to predict y using a values. (b) Using the estimated regression line found in the previous part, predict the value of y if a 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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