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Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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., 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 = 0.00015 c. Make a decision. Reject the null hypothesis. Do not 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 Question Help: ✓ Video Submit Question

Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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., 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 = 0.00015 c. Make a decision. Reject the null hypothesis. Do not 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 Question Help: ✓ Video Submit Question

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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., 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 = 0.00015 c. Make a decision. Reject the null hypothesis. Do not 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 Question Help: ✓ Video Submit Question
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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., 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 = 0.00015 c. Make a decision. Reject the null hypothesis. Do not 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 Question Help: ✓ Video Submit Question
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