Question 12.4q1

Annual high temperatures in a certain location have been tracked for a sample of 14 years. Let represent the year and the high temperature (in ). X y 5 42.62 6 40.78 7 38.74 8 37.2 9 36.76 10 36.32 11 33.88 12 31.54 13 29.4 14 27.86 15 22.92 16 21.38 17 20.04 18 18 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at a = 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 = c. Make a decision. O Reject the null hypothesis. O 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 O No