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Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X represent the year and Y the high temperature (in C). x y 5 25.42 6 26.39 7 24.36 8 20.13 9 17.8 10 19.27 11 15.44 12 13.61 13 13.58 14 9.75 16 15 10.42 16 7.99 17 3.86 18 4.53 19 1.8 Calculate the correlation coefficient. (Round to three decimal places.) T= Let's test the significance of the correlation coefficient at a 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p0. a. Calculate the test statistic. Round to three decimal places. t= b. Calculate the p-value. Round to four decimal places. p-value- c. Make a decision. O Do not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No

Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X represent the year and Y the high temperature (in C). x y 5 25.42 6 26.39 7 24.36 8 20.13 9 17.8 10 19.27 11 15.44 12 13.61 13 13.58 14 9.75 16 15 10.42 16 7.99 17 3.86 18 4.53 19 1.8 Calculate the correlation coefficient. (Round to three decimal places.) T= Let's test the significance of the correlation coefficient at a 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p0. a. Calculate the test statistic. Round to three decimal places. t= b. Calculate the p-value. Round to four decimal places. p-value- c. Make a decision. O Do not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X represent the year and Y the high temperature (in C°). x 5 25.42 6 26.39 7 24.36 8 20.13 9 17.8 10 19.27 11 15.44 12 13 23 13.61 13.58 14 9.75 15 10.42 16 7.99 17 3.86 18 4.53 19 1.8 Calculate the correlation coefficient. (Round to three decimal places.) T= Let's test the significance of the correlation coefficient at a 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. H: There is a significant relationship between the year and high temperature, i.e., p+0. a. Calculate the test statistic. Round to three decimal places. t= b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. ODo not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? O Yes O No
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X represent the year and Y the high temperature (in C°). x 5 25.42 6 26.39 7 24.36 8 20.13 9 17.8 10 19.27 11 15.44 12 13 23 13.61 13.58 14 9.75 15 10.42 16 7.99 17 3.86 18 4.53 19 1.8 Calculate the correlation coefficient. (Round to three decimal places.) T= Let's test the significance of the correlation coefficient at a 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. H: There is a significant relationship between the year and high temperature, i.e., p+0. a. Calculate the test statistic. Round to three decimal places. t= b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. ODo not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? O Yes O No
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