# Calculating correlation coefficient and r-square

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The estimated regression equation for these data is

y-hat = -137.63 + .1489x

What percentage of the total sum of squares can be accounted for by the estimated regression equation? Comment on the goodness of fit. What is the sample correlation coefficient?

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This solution shows how to find correlation coefficient and r-square (the coefficient of determination) from raw data. We are given the data set that was used find to a simple linear regression model. From that data we find the correlation coefficient and r-square.

$2.49