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Run a regression analysis on the following bivariate set of data with y as the response variable. X 37.2 25.8 16.2 16.7 27.9 24 24.7

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Run a regression analysis on the following bivariate set of data with y as the response variable. X 37.2 25.8 16.2 16.7 27.9 24 24.7 24.5 6.7 16.9 20.7 22.9 36.5 25 51.1 29.3 25.9 23.3 -7.8 11.8 24.1 21.3 31 18.6 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 x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you woul enter 84.5 without the percent symbol.) 12 = Based on the data, calculate the regression line (each value to three decimal places) Predict what value (on average) for the response variable will be obtained from a value of 9 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. What is the predicted response value? (Report answer accurate to one decimal place. ) y =

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