The following statement about the sample correlation coefficient is true. A)-1 ? r_X,Y ? 1. B) ${ r} ^ { 2 } _{ X Y }$ $\stackrel { p } { \rightarrow }$ corr(X_i, Y_i). C)| r_X,Y |

Question

The following statement about the sample correlation coefficient is true. A)-1 ? r_X,Y ? 1. B) ${ r} ^ { 2 } _{ X Y }$ $\stackrel { p } { \rightarrow }$ corr(X_i, Y_i). C)| r_X,Y |< 1. D)r_X,Y = $\frac { S _ { x y } ^ { 2 } } { S _ { x } ^ { 2 } S _ { y } ^ { 2 } }$

Quizplus · Accepted Answer

This statement accurately reflects the range of possible values for the sample correlation coefficient. The value of r_X,Y can range from -1 to 1, indicating the strength and direction of the relationship between two variables.

The Following Statement About the Sample Correlation Coefficient Is True rXY2{ r} ^ { 2 } _{ X Y }rXY2​

The Following Statement About the Sample Correlation Coefficient Is True ${ r} ^ { 2 } _{ X Y }$