Given are five observations for two variables, a and y. 5 13 5 16 18 Yi 57 60 50 14 13 Use the estimated regression equation: ŷ = 73.0978 – 3.1180z. a. Compute the mean square error using equation. SSE s = MSE n- 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE s = VMSE = n - 2 |(to 4 decimals) c. Compute the estimated standard deviation of bị using equation. (to 4 decimals) 3.
Given are five observations for two variables, a and y. 5 13 5 16 18 Yi 57 60 50 14 13 Use the estimated regression equation: ŷ = 73.0978 – 3.1180z. a. Compute the mean square error using equation. SSE s = MSE n- 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE s = VMSE = n - 2 |(to 4 decimals) c. Compute the estimated standard deviation of bị using equation. (to 4 decimals) 3.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Please answer the following
Transcribed Image Text:d. Use the t-test to test the following hypotheses (a
= 0.05):
Но: В — 0
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?
- Select your answer -
v Ho.
We
e. Use the F-test to test the hypotheses in part (d) at a 0.05 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
v Ho.
Transcribed Image Text:Given are five observations for two variables, x and y.
3
5
13
16
18
Yi
57
60
50
14
13
Use the estimated regression equation: ŷ = 73.0978 – 3.1180x.
a. Compute the mean square error using equation.
SSE
= MSE =
п - 2
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
S =
/MSE
п - 2
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
Σ-
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.05):
Но: В, — 0
Ha: B1 +0
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