x y 23 91.3 28.4 79.4 28.6 72.6 41.3 56.9 19.1 97 29.9 71.9 29.5 77.9 36.6 65.4 33.3 67.8 24.9 78.8 28.6 77.8 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 81.9 on

You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set. x y 43.4 76.4 23.7 74.4 2.9 76.1 -0.4 59.2 24 72.2 35.6 64.9 20.1 60 35.5 67.5 59.7 71.5 24.3 75.7 32.6 80.1 9.6 62.8 39.8 76.7 -5.5 55.7 49.1 78.6 22.7 69.8 46.4 84.9 12.4 47.4 45.8 69.4 40.5 73.8 38.1 77.4 37.1 70.3 30.4 73.4 download link provided here:  Download CSVWhat is the correlation coefficient for this data set?       r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient?       p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is insufficient sample evidence to support…

A student conducted a correlation analysis and obtained the following values: weight, TSC, X*X Y*Y X*Y Y 45 2.9 2025 8.41 130.5 49 0.7 2401 0.49 34.3 67 3.3 4489 10.89 221.1 70 4.2 4900 17.64 294.0 57 3.8 3249 14.44 216.6 SUM: 288 14.9 17064 51.87 896.5 Calculate the Calculated and Critical values. %3D Calculated = 2.21; Critical = 3.182 Calculated = 0.64; Critical = 3.182 Calculated = 1.45; Critical = 3.182 Calculated = 0.64; Critical = 2.776

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. y 1 18.66 2 24.02 24.08 4 27.14 30.9 6 35.16 7 37.12 8 37.68 9 40.94 10 45.6 11 45.56 12 48.72 13 51.48 r =