if-the-correlation-coefficient-for-a-dataset-is-r057-r-057-what-is-the-coefficie

Question

If the correlation coefficient for a dataset is r=−0.57 r = -0.57 , what is the coefficient of determination r2 $$r^2$$ ? How much of the variation is explained by the regression line, and how much is unexplained?

Accepted Answer

Coefficient of determination: 0.32490.3249 32.5%32.5\% explained 67.5%67.5\% unexplained

Answer

Coefficient of determination: 0.57000.5700 57%57\% explained43%43\% unexplained

Answer

Coefficient of determination: 0.43000.4300 43%43\% explained57%57\% unexplained

Answer

Coefficient of determination: 0.67500.6750 67.5%67.5\% explained32.5%32.5\% unexplained

If the correlation coefficient for a dataset is r=−0.57 r = -0.57 , what is the coefficient of determination r2 r^2 ? How much of the variation is explained by the regression line, and how much is unexplained?

If the correlation coefficient for a dataset is $r = - 0.57$ , what is the coefficient of determination $r^{2}$ ? How much of the variation is explained by the regression line, and how much is unexplained?