Question

Eliosa determined that the correlation coefficient of the data set -0.7. What percent of the total variation in the y-values is not explained by the regression line?

Answer 1

51% of the variation in Y is not explained by the regression line.

Explanation:

To find the amount of variation not explained by the regression equation (how you found the correlation coefficient), we need to find R. We already have r ...

So to find R from r ( the correlation coefficient ) we just square it.

r² = .7² = .49

Then we just subtract that number from 1 to get the amount of variation that is not explained - which is ... .49 - 1 = .51 (convert to percent) = 51%