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Run a regression analysis on the following bivariate set of data with y as the response variable. x y 69.8 43.2 56.4 61.4 61.3 58

Run a regression analysis on the following bivariate set of data with y as the response variable.

x y
69.8 43.2
56.4 61.4
61.3 58
66.8 57.3
52.7 69.5
65 55.6
65.8 50.4
61.3 60.3
70.8 47.8
69.4 51.1
64.5 61.6
63.7 55.1

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.) r = % 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 61.4 as the explanatory variable. Use a significance level of =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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