1.

You may need to use the appropriate technology to answer this question. Consider the data X ; 2 3 5 7 5 10 15 (a) Compute the mean square error using equation s = MSE = _ SSE n - 2 (Round your answer to two decimal places.) 5.43 SSE (b) Compute the standard error of the estimate using equation s = \\ MSE = n - 2 : (Round your answer to three decimal places.) 2.331 (c) Compute the estimated standard deviation of bj using equation s, = Vy(x _ x)2 . (Round your answer to three decimal places.) 0.737 (d) Use the t test to test the following hypotheses (a = 0.05): Ho:P1 = 0 Ha : P1 0 Find the value of the test statistic. (Round your answer to three decimal places.) 3.392 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0427 State your conclusion. O Do not reject Ho. We 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. O 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 Sum Degrees Mear F of Variation of Squares of Freedom Square p-value Regression 62. 62.50 11.50 0.0427 Error 16.3 3 5.43 Total 78.8 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.) D-value = 0.0427 State your conclusion. O Do not reject Ho. We cannot 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. 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.You may need to use the appropinate technology to answer this question. Consider the data. 18 (a] What is the value of the standard error of the estimate? (Round your answer to three decimal places.) 6.240 (b) Test for a significant relationship by using the [ test. Use a = 0.05. State the null and alternative hypotheses. OH : 4 20 HAD OH -D OH: A *0 Find the value of the test statistic. (Round your answer to three decimal places.) 2.209 Find the p-value. (Round your answer to four decimal places.) D-value = 0.1142 State your conclusion. D Reject M . We cannot conclude that the relationship between x and y is significant. O Do not reject H. We conclude that the relationship between & and y is significant. 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. (c) Use the F test to test for a significant relationship. Use = = 0.05. State the null and alternative hypotheses. OH :1 0 OH:A 20 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.) o-value = What is your conclusion? Do not reject H.. We conclude that the relationship between * and y is significant. O Reject H. We condude that the relationship between & and y is significant. D Do not reject H.. We cannot 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