R=? Annual high temperatures in a certain location have been tracked for several years. Let X represent theyear and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (tothree decimal places) between X and Y. Use your calculator!2 41.323 36.784 35.345 30.128.267.25.528 23.186.19.541016.91113.261212.82137.38145.9415 2.4Question Help: VideoSubmit Question

Name: R=? Annual high temperatures in a certain location have been tracked f
Uploaded: 2024-03-20T06:47:08.000Z
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Description: R=? Annual high temperatures in a certain location have been tracked for several years. Let X represent theyear and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (tothree decimal places) between X and Y.

Given the annual high temperature in certain locations for several years. To find the correlation coefficient. We have correlation coefficient, r=n∑xy-∑x∑yn∑x2-∑x2n∑y2-∑y2To find r: From the given information's we can construct the table as below, Observation x y x2 y2 x×y 1 2 41.3 4 1,705.69 82.6 2 3 36.78 9 1,352.7684 110.34 3 4 35.34 16 1,248.9156 141.36 4 5 30.1 25 906.01 150.5 5 6 28.26 36 798.6276 169.56 6 7 25.52 49 651.2704 178.64 7 8 23.18 64 537.3124 185.44 8 9 19.54 81 381.8116 175.86 9 10 16.9 100 285.61 169 10 11 13.26 121 175.8276 145.86 11 12 12.82 144 164.3524 153.84 12 13 7.38 169 54.4644 95.94 13 14 5.94 196 35.2836 83.16 14 15 2.4 225 5.76 36 TOTAL:105 119 298.72 1,239 8,303.704 1,878.1 Correlation coefficient, r==n∑xy-∑x∑yn∑x2-∑x2n∑y2-∑y2=1051,878.1-119×298.72105×1,239-1192105×8303.704-298.722=161,652.82115,934782,655.2816=161,652.8290,736,357,417.01=1.78156576×10-6=1.782×10-6 Thus, he correlation coefficient is, r=1.782×10-6.