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Consider the data. 1 2 3 4 5 y 28 5 12 13 (a) Compute the mean square error using equation s² = MSE = SSE n-2 (Round your answer to two decimal places.) (b) Compute the standard error of the estimate using equations VMSE- SSE n-2 (c) Compute the estimated standard deviation of b, using equation 5₂ √(x₁-x)² Find the p-value. (Round your answer to four decimal places.) p-value= (d) Use the t test to test the following hypotheses (-0.05): Ho: ₁-0 HB₁0 Find the value of the test statistic. (Round your answer to three decimal place.) (Round your answer to three decimal places.) (Round your answer to three decimal places.) State your conclusion. O Reject Ho We cannot 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. We conclude that the relationship between x and y is significant. O Do not reject H (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,

Consider the data. 1 2 3 4 5 y 28 5 12 13 (a) Compute the mean square error using equation s² = MSE = SSE n-2 (Round your answer to two decimal places.) (b) Compute the standard error of the estimate using equations VMSE- SSE n-2 (c) Compute the estimated standard deviation of b, using equation 5₂ √(x₁-x)² Find the p-value. (Round your answer to four decimal places.) p-value= (d) Use the t test to test the following hypotheses (-0.05): Ho: ₁-0 HB₁0 Find the value of the test statistic. (Round your answer to three decimal place.) (Round your answer to three decimal places.) (Round your answer to three decimal places.) State your conclusion. O Reject Ho We cannot 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. We conclude that the relationship between x and y is significant. O Do not reject H (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,

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
Section: Chapter Questions
Problem 6AR
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Consider the data. 2 3 4 x, 1 Y, 2 8 5 12 13 5 (a) Compute the mean square error using equation s2 = MSE = SSE n-2 (Round your answer to two decimal places.) (b) Compute the standard error of the estimate using equations = √MSE= SSE n-2 Find the p-value. (Round your answer to four decimal places.). p-value= (c) Compute the estimated standard deviation of b, using equation Sp₁ √(x,x) (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (-0.05): Ho B₁-0 HB₁0 Find the value of the test statistic. (Round your answer to three decimal places) (Round your answer to three decimal places.) State your conclusion. O Reject Ho We cannot 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. O Do not reject H We 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.
Transcribed Image Text:Consider the data. 2 3 4 x, 1 Y, 2 8 5 12 13 5 (a) Compute the mean square error using equation s2 = MSE = SSE n-2 (Round your answer to two decimal places.) (b) Compute the standard error of the estimate using equations = √MSE= SSE n-2 Find the p-value. (Round your answer to four decimal places.). p-value= (c) Compute the estimated standard deviation of b, using equation Sp₁ √(x,x) (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (-0.05): Ho B₁-0 HB₁0 Find the value of the test statistic. (Round your answer to three decimal places) (Round your answer to three decimal places.) State your conclusion. O Reject Ho We cannot 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. O Do not reject H We 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.
(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 Error Total Sum of Squares Degrees of Freedom Mean Square Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= F State your conclusion. O Reject Ho. We cannot 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. O Reject H. We 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. p-value
Transcribed Image Text:(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 Error Total Sum of Squares Degrees of Freedom Mean Square Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= F State your conclusion. O Reject Ho. We cannot 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. O Reject H. We 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. p-value
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