if-the-correlation-coefficient-for-a-dataset-is-r0705-r-0705-what-is-the-value-o

Question

If the correlation coefficient for a dataset is r=−0.705 r = -0.705 , what is the value of r2 $$r^2$$ ? What does this indicate about the explained and unexplained variation in the data?

Accepted Answer

Coefficient of determination: 0.4970.497 49.7%49.7\% explained 50.3%50.3\% unexplained

Answer

Coefficient of determination: 0.5520.552 55.2%55.2\% explained44.8%44.8\% unexplained

Answer

Coefficient of determination: 0.4970.497 49.7%49.7\% explained51.3%51.3\% unexplained

Answer

Coefficient of determination: 0.7050.705 70.5%70.5\% explained29.5%29.5\% unexplained

If the correlation coefficient for a dataset is r=−0.705 r = -0.705 , what is the value of r2 r^2 ? What does this indicate about the explained and unexplained variation in the data?

If the correlation coefficient for a dataset is $r = - 0.705$ , what is the value of $r^{2}$ ? What does this indicate about the explained and unexplained variation in the data?