54.2 -51.2 60.9 -7 55.4 104.3 35.5 4.7 3.4 133.8 31.8 ...

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Run a regression analysis on the following bivariate set of data with y as the response variable: 54.2 51.2 60.9 55.4 104.3 35.5 4.7 3.4 133.8 31.8 35.1 71.2 56.3 13.7 45.1 -1.9 72.2 41.1 14.1 43.1 34.3 29.5 Find the correlation coefficient and report it accurately to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report the 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.) 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 62.5 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 the answer accurately to one decimal place: y = )

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54.2 -51.2 60.9 -7 55.4 104.3 35.5 4.7 3.4 133.8 31.8 35.1 71.2 0 56.3 13.7 45.1 -1.9 72.2 -41.1 14.1 43.1 34.3 29.5

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54.2 -51.2 60.9 -7 55.4 104.3 35.5 4.7 3.4 133.8 31.8 35.1 71.2 0 56.3 13.7 45.1 -1.9 72.2 -41.1 14.1 43.1 34.3 29.5

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