The following statement about the sample correlation coefficient is true. a. $- 1 \leq r _ { X Y } \leq 1$.
b. $r _ { X Y } ^ { 2 } \stackrel { p } { \rightarrow } \operatorname { corr } \left( X _ { i } , Y _ { i } \right)$.
c. $\left| r _ { X Y } \right|

Question

The following statement about the sample correlation coefficient is true. a. $- 1 \leq r _ { X Y } \leq 1$.
b. $r _ { X Y } ^ { 2 } \stackrel { p } { \rightarrow } \operatorname { corr } \left( X _ { i } , Y _ { i } \right)$.
c. $\left| r _ { X Y } \right| < 1$.
d. $r _ { X Y } = \frac { s _ { X Y } ^ { 2 } } { s _ { X } ^ { 2 } s _ { Y } ^ { 2 } }$.

Quizplus · Accepted Answer

The Answer of The following statement about the sample correlation coefficient is true. a. $- 1 \leq r _ { X Y } \leq 1$.
b. $r _ { X Y } ^ { 2 } \stackrel { p } { \rightarrow } \operatorname { corr } \left( X _ { i } , Y _ { i } \right)$.
c. $\left| r _ { X Y } \right| < 1$.
d. $r _ { X Y } = \frac { s _ { X Y } ^ { 2 } } { s _ { X } ^ { 2 } s _ { Y } ^ { 2 } }$.

The Following Statement About the Sample Correlation Coefficient Is True −1≤rXY≤1- 1 \leq r _ { X Y } \leq 1−1≤rXY​≤1

The Following Statement About the Sample Correlation Coefficient Is True $- 1 \leq r _ { X Y } \leq 1$