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Consider the data. x₁ 3 12 6 20 14 Y₁ 55 40 55 10 15 (a) Compute the mean square error using equation s2 = MSESSE (Round your answer to two decimal places.) n-2 (b) Compute the standard error of the estimate using equations = √MSE-2 (Round your answer to three decimal places.) (c) Compute the estimated standard deviation of b, using equation Sb₂√(x₁ - x)² (Round your answer to three decimal places.) Sp (d) Use the t test to test the following hypotheses (a = 0.05): Ho: ₂0 H₂:₁0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho- We conclude that the relationship between x and y is significant. O Reject Ho- We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression SSE Error Total Sum Degrees of Squares of Freedom Mean Square F Find the p-value. (Round your answer to three decimal places.) p-value= Find the value of the test statistic. (Round your answer to two decimal places.) p-value

Consider the data. x₁ 3 12 6 20 14 Y₁ 55 40 55 10 15 (a) Compute the mean square error using equation s2 = MSESSE (Round your answer to two decimal places.) n-2 (b) Compute the standard error of the estimate using equations = √MSE-2 (Round your answer to three decimal places.) (c) Compute the estimated standard deviation of b, using equation Sb₂√(x₁ - x)² (Round your answer to three decimal places.) Sp (d) Use the t test to test the following hypotheses (a = 0.05): Ho: ₂0 H₂:₁0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho- We conclude that the relationship between x and y is significant. O Reject Ho- We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression SSE Error Total Sum Degrees of Squares of Freedom Mean Square F Find the p-value. (Round your answer to three decimal places.) p-value= Find the value of the test statistic. (Round your answer to two decimal places.) p-value

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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Consider the data. x; Y₁ 3 (a) Compute the mean square error using equation s² = MSE = 55 40 55 10 15 12 6 20 14 (b) Compute the standard error of the estimate using equation s = ✓MSE = (c) Compute the estimated standard deviation of b₁ using equation Sb₁ Find the p-value. (Round your answer to four decimal places.) p-value = Source of Variation Error SSE n-2 Regression Total (d) Use the t test to test the following hypotheses (α = 0.05): Ho: P₁ = 0 Ha: B₁ 0 Find the value of the test statistic. (Round your answer to three decimal places.) (Round your answer to two decimal places.) Sum Degrees of Squares of Freedom State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and is significant. O Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Mean Square (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) SSE n-2 S VΣ(x₁ - x)² Find the p-value. (Round your answer to three decimal places.) p-value = F (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.) (Round your answer to three decimal places.) p-value
Transcribed Image Text:Consider the data. x; Y₁ 3 (a) Compute the mean square error using equation s² = MSE = 55 40 55 10 15 12 6 20 14 (b) Compute the standard error of the estimate using equation s = ✓MSE = (c) Compute the estimated standard deviation of b₁ using equation Sb₁ Find the p-value. (Round your answer to four decimal places.) p-value = Source of Variation Error SSE n-2 Regression Total (d) Use the t test to test the following hypotheses (α = 0.05): Ho: P₁ = 0 Ha: B₁ 0 Find the value of the test statistic. (Round your answer to three decimal places.) (Round your answer to two decimal places.) Sum Degrees of Squares of Freedom State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and is significant. O Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Mean Square (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) SSE n-2 S VΣ(x₁ - x)² Find the p-value. (Round your answer to three decimal places.) p-value = F (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.) (Round your answer to three decimal places.) p-value
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