Given are five observations for two variables, and y. Use the estimated regression equation: = 65.7823 2.6591x. a. Compute the mean square error using equation. 8² = MSE = SSE n-2 (to 4 decimals) b. Compute the standard error of the estimate using equation. s = √MSE = SSE n-2 (to 4 decimals) c. Compute the estimated standard deviation of b₁ using equation. $ Sb₁ = Source of Variation Regression Xi Degrees of Freedom Yi Sum of Squares (x₁ - x)² (to 4 decimals) d. Use the t-test to test the following hypotheses (α = 0.05): Ho: B1 = 0 Ha: B10 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) Error Total What is your conclusion, based on this F test? We Select your answer - Ho. 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 0.05 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). Mean Square 2 7 12 15 20 53 56 40 20 11 F p-value
Given are five observations for two variables, and y. Use the estimated regression equation: = 65.7823 2.6591x. a. Compute the mean square error using equation. 8² = MSE = SSE n-2 (to 4 decimals) b. Compute the standard error of the estimate using equation. s = √MSE = SSE n-2 (to 4 decimals) c. Compute the estimated standard deviation of b₁ using equation. $ Sb₁ = Source of Variation Regression Xi Degrees of Freedom Yi Sum of Squares (x₁ - x)² (to 4 decimals) d. Use the t-test to test the following hypotheses (α = 0.05): Ho: B1 = 0 Ha: B10 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) Error Total What is your conclusion, based on this F test? We Select your answer - Ho. 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 0.05 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). Mean Square 2 7 12 15 20 53 56 40 20 11 F p-value
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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Transcribed Image Text:Given are five observations for two variables, and y.
s² = MSE =
Use the estimated regression equation: y = 65.7823 2.6591x.
a. Compute the mean square error using equation.
SSE
n - 2
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
n-2
s = √MSE =
- x)²
(to 4 decimals)
c. Compute the estimated standard deviation of b₁ using equation.
S
Sb₁
Xi -
(to 4 decimals)
d. Use the t-test to test the following hypotheses (α = 0.05):
Ho: B1 = 0
Ha: B1 0
What is the p-value? Use Table 2 from Appendix B.
p-value is - Select your answer -
Xi
Degrees
of Freedom
Yi
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
Sum of
Squares
Regression
Error
Total
What is your conclusion, based on this F test?
We - Select your answer - Ho.
What is your conclusion?
We - Select your answer - ✓ Ho.
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
of Variation
Mean
Square
2 7 12 15 20
53 56 40 20 11
F
p-value
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