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MATLAB: An Introduction with Applications
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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Given are five observations for two variables, and y. The estimated regression equation is ŷ = 0.2 +2.6x a. Compute the mean square error using the following equation (to 3 decimals). 0.643 d. Use the t test to test the following hypotheses (α = 0.05 ): Ho B₁ = 0 : Ha B₁ 0 Compute the value of the t test statistic (to 2 decimals). 4.133 b. Compute the standard error of the estimate using the following equation (to 3 decimals). Use Table 2 of Appendix B to find the p-value. The p-value is between 0.025 and 0.05 ✓ What is your conclusion? 2.033 c. Compute the estimated standard deviation by using the following equation (to 3 decimals). Regression Source of Variation Degrees of Freedom Sum of Squares Mean Square Error X; Total Yi X X 1 X 3 Conclude a significant relationship exists between and y e. Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Complete the F table below. Give the Sum of Squares to 1 decimal, the Mean Squares to 3 decimals, F ratio to 2 decimals and the p-value to 4 decimals. Do not round intermediate calculations. 2 3 7 5 F 4 5 11 14 p-value
Transcribed Image Text:Given are five observations for two variables, and y. The estimated regression equation is ŷ = 0.2 +2.6x a. Compute the mean square error using the following equation (to 3 decimals). 0.643 d. Use the t test to test the following hypotheses (α = 0.05 ): Ho B₁ = 0 : Ha B₁ 0 Compute the value of the t test statistic (to 2 decimals). 4.133 b. Compute the standard error of the estimate using the following equation (to 3 decimals). Use Table 2 of Appendix B to find the p-value. The p-value is between 0.025 and 0.05 ✓ What is your conclusion? 2.033 c. Compute the estimated standard deviation by using the following equation (to 3 decimals). Regression Source of Variation Degrees of Freedom Sum of Squares Mean Square Error X; Total Yi X X 1 X 3 Conclude a significant relationship exists between and y e. Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Complete the F table below. Give the Sum of Squares to 1 decimal, the Mean Squares to 3 decimals, F ratio to 2 decimals and the p-value to 4 decimals. Do not round intermediate calculations. 2 3 7 5 F 4 5 11 14 p-value
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