31. [-/14 Points] DETAILS You may need to use the appropriate technology to answer this question...

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31. [-/14 Points] DETAILS You may need to use the appropriate technology to answer this question MY NOTES ASK YOUR TEACHER Shown below is a portion of an Excel output for regression analysis relating y (dependent variable) and x(independent variable). ANOVA of Regression 119 Pesidual Total 10 198 Coefficient Standard Error 5:347 0.4562 0.191 (a) What has been the sample size for the above regression analysis? (b) Perform a t-test and determine whether or not x and y are related. Let a 0.05. State the null and alternative hypotheses. (Enter 1 for as needed.) 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= What is your conclusion? What is your conclusion? Do not reject Ho. We can 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. Do not reject No. We cannot conclude that the relationship between x and y is significant. Reject Ho. We can conclude that the relationship between x and y is significant. (c) Perform an F-test and determine whether or not x and y are related. Let a = 0.05. State the null and alternative hypotheses. (Enter 1 for as needed.) Ho H 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= What is your conclusion? O Do not reject Ho. We can conclude that the relationship between x and y is significant. 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. Reject We can conclude that the relationship between x and y is significant. (d) Compute the coefficient of determination. (Round your answer to four decimal places.)) (e) Interpret the meaning of the value of the coefficient of determination that you found in (d). Be very specific. (Give your answer as a percent. Round you answer to two decimal places.) bean avelst Chu the least couaras lice +374 What is your conclusion? webassign.net Do not reject H. We can conclude that the relationship between x and y is significant. 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. Reject Ho. We can conclude that the relationship between x and y is significant. (d) Compute the coefficient of determination. (Round your answer to four decimal places.) (e) Interpret the meaning of the value of the coefficient of determination that you found in (d). Be very specific. (Give your answer as a percent. Round your answer to two decimal places.) The value of the coefficient of determination tells us that % of the variability in 7-o has been explained by the least squares line. 31. [-/14 Points] DETAILS You may need to use the appropriate technology to answer this question MY NOTES ASK YOUR TEACHER Shown below is a portion of an Excel output for regression analysis relating y (dependent variable) and x(independent variable). ANOVA of Regression 119 Pesidual Total 10 198 Coefficient Standard Error 5:347 0.4562 0.191 (a) What has been the sample size for the above regression analysis? (b) Perform a t-test and determine whether or not x and y are related. Let a 0.05. State the null and alternative hypotheses. (Enter 1 for as needed.) 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= What is your conclusion? What is your conclusion? Do not reject Ho. We can 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. Do not reject No. We cannot conclude that the relationship between x and y is significant. Reject Ho. We can conclude that the relationship between x and y is significant. (c) Perform an F-test and determine whether or not x and y are related. Let a = 0.05. State the null and alternative hypotheses. (Enter 1 for as needed.) Ho H 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= What is your conclusion? O Do not reject Ho. We can conclude that the relationship between x and y is significant. 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. Reject We can conclude that the relationship between x and y is significant. (d) Compute the coefficient of determination. (Round your answer to four decimal places.)) (e) Interpret the meaning of the value of the coefficient of determination that you found in (d). Be very specific. (Give your answer as a percent. Round you answer to two decimal places.) bean avelst Chu the least couaras lice +374 What is your conclusion? webassign.net Do not reject H. We can conclude that the relationship between x and y is significant. 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. Reject Ho. We can conclude that the relationship between x and y is significant. (d) Compute the coefficient of determination. (Round your answer to four decimal places.) (e) Interpret the meaning of the value of the coefficient of determination that you found in (d). Be very specific. (Give your answer as a percent. Round your answer to two decimal places.) The value of the coefficient of determination tells us that % of the variability in 7-o has been explained by the least squares line.