The estimated regression equation is ŷ = 1.2+2.4x a. Compute the mean square error using the following equation (to 3 decimals). 1 2 3 4 5 Yi 4 7 6 11 14 b. Compute the standard error of the estimate using the following equation (to 3 decimals). c. Compute the estimated standard deviation b₁ using the following equation (to 3 decimals). d. Use the t test to test the following hypotheses (a = 0.05 ): He : B₁ = 0 Ha: B₁ 0 Compute the value of the t test statistic (to 2 decimals). Use Table 2 of Appendix B to find the p-value. The p-value is -Select your answer - What is your conclusion? Select your answer- 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. Source of Variation Degrees of Freedom Sum of Squares Mean Square F p-value Regression Error Total
The estimated regression equation is ŷ = 1.2+2.4x a. Compute the mean square error using the following equation (to 3 decimals). 1 2 3 4 5 Yi 4 7 6 11 14 b. Compute the standard error of the estimate using the following equation (to 3 decimals). c. Compute the estimated standard deviation b₁ using the following equation (to 3 decimals). d. Use the t test to test the following hypotheses (a = 0.05 ): He : B₁ = 0 Ha: B₁ 0 Compute the value of the t test statistic (to 2 decimals). Use Table 2 of Appendix B to find the p-value. The p-value is -Select your answer - What is your conclusion? Select your answer- 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. Source of Variation Degrees of Freedom Sum of Squares Mean Square F p-value Regression Error Total
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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