suppose-the-linear-correlation-coefficient-for-a-dataset-is-r072r072-what-is-the

Question

Suppose the linear correlation coefficient for a dataset is r=0.72r=0.72. What is the coefficient of determination, $$R2R^2$$? Interpret the result.

Accepted Answer

R2=$$0.5184R^2=0.5184$$About 51.84%51.84\% of the variation in the dependent variable is explained by the linear relationship

Answer

R2=$$0.1440R^2=0.1440$$About 14.40%14.40\% of the variation in the dependent variable is unexplained by the linear relationship

Answer

R2=$$0.5184R^2=0.5184$$About 51.84%51.84\% of the variation in the dependent variable is unexplained by the linear relationship

Answer

R2=$$0.6048R^2=0.6048$$About 60.48%60.48\% of the variation in the independent variable is explained by the linear relationship

Suppose the linear correlation coefficient for a dataset is r=0.72r=0.72. What is the coefficient of determination, R2R^2? Interpret the result.