8 10 17 20 Yi 54 51 45 14 13 2.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please help me on Part E

Given are five observations for two variables, x and y.
2
8
10
17
20
Yi
54
51
45
14
13
Use the estimated regression equation: ŷ = 65.8697 – 2.6728x.
%3|
a. Compute the mean square error using equation.
SSE
s2 = MSE
п —
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
VMSE
S =
n
2
(to 4 decimals)
c. Compute the estimated standard deviation of bị using equation.
(xi
-
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.10):
Но: Ві
Ha: B1 + 0
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
What is the p-value? Use Table 2 from Appendix B.
p-value is
- Select your answer -
What is your conclusion?
We
- Select your answer -
* Ho.
e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to
2 decimals) and the p-value (to 4 decimals).
Source
Degrees
Sum of
Mean
of Variation
of Freedom
Squares
Square
F
p-value
Regression
Error
Total
What is your conclusion, based on this F test?
We
- Select your answer -
Но.
Transcribed Image Text:Given are five observations for two variables, x and y. 2 8 10 17 20 Yi 54 51 45 14 13 Use the estimated regression equation: ŷ = 65.8697 – 2.6728x. %3| a. Compute the mean square error using equation. SSE s2 = MSE п — (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE VMSE S = n 2 (to 4 decimals) c. Compute the estimated standard deviation of bị using equation. (xi - (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Но: Ві Ha: B1 + 0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - What is your conclusion? We - Select your answer - * Ho. e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Source Degrees Sum of Mean of Variation of Freedom Squares Square F p-value Regression Error Total What is your conclusion, based on this F test? We - Select your answer - Но.
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