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You may need to use the appropriate technology to answer this question. Consider the data. X ; 1 2 3 4 5 yi 8 6

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You may need to use the appropriate technology to answer this question. Consider the data. X ; 1 2 3 4 5 yi 8 6 11 14 (a) Compute the mean square error using equation s= MSE =_ SSE n - 2: (Round your answer to two decimal places.) SSE (b) Compute the standard error of the estimate using equation s = VMSE = n - 2 . (Round your answer to three decimal places.) (c) Compute the estimated standard deviation of bj using equation S= Vy _ 2 . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (a = 0.05): Ho: P1 = 0 Ha: B1 + 0 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. Reject Ho. We cannot conclude that the relationship between x and y is significant. 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 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.) Source Sum Degrees Mean of Variation of Squares of Freedom Square p-value 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 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 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

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