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Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use calculator/Excel! The following bivariate data set contains an outlier. x y y 45.2 1709.5 4 29.45 58.6 1326.3 30.06 69.8 -1814.3 6 25.37 59.1 -1246 7 26.48 25.8 -1491.1 8 23.19 70.7 2199.9 9 23.4 50.1 -2006,1 10 22.01 47.8 -468.8 11 17.42 39.2 842.7 12 15.13 57.8 -607.9 25 13 14.24 1732.7 50.2 66.2 14 14.65 62.5 -796.9 15 12.76 32.7 2352.4 16 8.97 207 8 1237.4 17 9.78 18 8.79 19 4.6 What is the correlation coefficient with the outlier? TH = What is the correlation coefficient without the outlier? Here is a bivariate data set. Would inclusion of the outlier change the evidence for or against a significant linear correlation? x y O Yes. Including the outlier changes the evidence regarding a linear correlation. 40.2 64.8 56.6 68.4 No. Including the outlier does not change the evidence regarding a linear correlation. 61 36.5 13.3 124.2 29.6 103.9 Question for thought: Would you always draw the sa e conclusion with the addition of an outlier? 23.7 97.5 58.6 67.9 40.7 103.2 16.9 105.8 54.2 24 27.9 93.5 57.3 58.7 31.7 52.7 30.7 48.7 45.5 107.5 41.6 66.5 31.8 74.4 56.4 57.8 41.5 70.6 Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of *? Report newer as a percentage accurate to one decimal place. 2 = of the variation in y can be explained by the variation in the values of x. Question Help: Message instructor Submit Question Jump to