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Run a regression analysis on the following bivariate set of data with y as the response variable. X y 46.9 34.9 26.2 41.4 84.4 112.5
Run a regression analysis on the following bivariate set of data with y as the response variable. X y 46.9 34.9 26.2 41.4 84.4 112.5 37.4 48.3 48.1 53 54.5 32.7 56.5 50.2 6.2 27.9 46 72.5 105.3 118.2 40.6 38.4 49.3 86.6 Find the correlation coefficient and report it accurate to three decimal places. r = 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 would 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 32.3 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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