ssion equation: ŷ quare error using e d error of the estim

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
pter 14) - Part A
i Mail - Sanche
Given are five observations for two variables, x and y.
Q Sea
4
8 13 15 17
Use the estimated regression equation: âŷ = 76.4859 – 3.3233x.
Yi
57
54 48
19
15
a. Compute the mean square error using equation.
S = MSE =
SSE
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.
(¤i – 7)²
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.10):
Ho: B1 = 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?
Ho.
We - Select your answer -
e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.
MacBook
Transcribed Image Text:pter 14) - Part A i Mail - Sanche Given are five observations for two variables, x and y. Q Sea 4 8 13 15 17 Use the estimated regression equation: âŷ = 76.4859 – 3.3233x. Yi 57 54 48 19 15 a. Compute the mean square error using equation. S = MSE = SSE 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. (¤i – 7)² (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Ho: B1 = 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? Ho. We - Select your answer - e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance. MacBook
(Chapter 14) - Part A
Mail - Sanchez, B.
Sh =
Q Search thi
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.10):
Ho: B1 = 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?
We - Select your answer - v Họ.
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
the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals).
Source
Degrees
Sum of
Мean
of Freedom
Squares
Square
p-value
of Variation
Regression
Error
Total
What is your conclusion, based on this F test?
Ho.
We - Select your answer -
O- Icon Key
Transcribed Image Text:(Chapter 14) - Part A Mail - Sanchez, B. Sh = Q Search thi (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Ho: B1 = 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? We - Select your answer - v Họ. 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 the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Source Degrees Sum of Мean of Freedom Squares Square p-value of Variation Regression Error Total What is your conclusion, based on this F test? Ho. We - Select your answer - O- Icon Key
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