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Run a regression analysis on the following bivariate set of data with y as the response variable. X y 45.4 28.3 38.7 30.4 51.3

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Run a regression analysis on the following bivariate set of data with y as the response variable. X y 45.4 28.3 38.7 30.4 51.3 26.1 48.2 28.9 47.3 29.2 50.7 28.4 41.7 29.6 51.1 28.9 47.2 28.1 44.2 29 40.9 29.3 42 29.3 Find the correlation coefficient and report it accurate to three decimal places. =J 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) y = x + Predict what value (on average) for the response variable will be obtained from a value of 39.5 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. predicted response value? (Report answer accurate to one decimal place.)

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