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Consider the data. 23 4 3 8 6. 10 15 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n-2 SSE (b) Compute the standard error of the estimate using equation S = V MSE = (Round your answer to three decimal places.) n- 2 (c) Compute the estimated standard deviation of b, using equation S. = . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (a = 0.05): %3D Ho:ßq = 0 %3! 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 Do not 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 Ha. 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. 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.) Mean Source of Variation Degrees of Freedom Sum p-value of Squares Square Regression Error Total 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 = State your conclusion. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. 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.

Consider the data. 23 4 3 8 6. 10 15 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n-2 SSE (b) Compute the standard error of the estimate using equation S = V MSE = (Round your answer to three decimal places.) n- 2 (c) Compute the estimated standard deviation of b, using equation S. = . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (a = 0.05): %3D Ho:ßq = 0 %3! 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 Do not 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 Ha. 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. 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.) Mean Source of Variation Degrees of Freedom Sum p-value of Squares Square Regression Error Total 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 = State your conclusion. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. 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.

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. 1 2 3 4 5 10 15 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n - 2 SSE (b) Compute the standard error of the estimate using equation S = V MSE = (Round your answer to three decimal places.) n - 2 (c) Compute the estimated standard deviation of b, using equation sS. = . (Round your answer to three decimal places.) E(x, - x)2 (d) Use the t test to test the following hypotheses (a = 0.05): Ho:B1 = 0 Hoißa 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 = %3D State your conclusion. O Do not 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 H.. 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. (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.) Mean Degrees of Freedom Source Sum p-value of Variation of Squares Square Regression Error Total 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 = State your conclusion. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. 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.
Transcribed Image Text:Consider the data. 1 2 3 4 5 10 15 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n - 2 SSE (b) Compute the standard error of the estimate using equation S = V MSE = (Round your answer to three decimal places.) n - 2 (c) Compute the estimated standard deviation of b, using equation sS. = . (Round your answer to three decimal places.) E(x, - x)2 (d) Use the t test to test the following hypotheses (a = 0.05): Ho:B1 = 0 Hoißa 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 = %3D State your conclusion. O Do not 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 H.. 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. (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.) Mean Degrees of Freedom Source Sum p-value of Variation of Squares Square Regression Error Total 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 = State your conclusion. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. 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.
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