Which of the following is the equation used for computing the sample correlation coefficient?
A)rₓᵧ = cov(X,Y) (sₓsᵧ)

B)rₓᵧ = $\frac{\operatorname{cov}(X, Y)}{s_{X}{ }_{y} y}$

C)rₓᵧ = $\frac{\left(x_{i}-\bar{x}\right)}{s_{x} s_{y}}$

D)rₓᵧ = $\sqrt{\frac{\left(x_{i}-\bar{x}\right)}{s_{x}-s_{y}}}$

Question

Which of the following is the equation used for computing the sample correlation coefficient?
A)rₓᵧ = cov(X,Y) (sₓsᵧ)

B)rₓᵧ = $\frac{\operatorname{cov}(X, Y)}{s_{X}{ }_{y} y}$

C)rₓᵧ = $\frac{\left(x_{i}-\bar{x}\right)}{s_{x} s_{y}}$

D)rₓᵧ = $\sqrt{\frac{\left(x_{i}-\bar{x}\right)}{s_{x}-s_{y}}}$

Quizplus · Accepted Answer

The sample correlation coefficient, denoted as rₓᵧ, is calculated using the formula: rₓᵧ = $\frac{\operatorname{cov}(X, Y)}{s_{X} s_{Y}}$, where cov(X, Y) is the covariance between X and Y, and sₓ and sᵧ are the standard deviations of X and Y, respectively.

Which of the Following Is the Equation Used for Computing cov⁡(X,Y)sXyy\frac{\operatorname{cov}(X, Y)}{s_{X}{ }_{y} y}sX​y​ycov(X,Y)​

Which of the Following Is the Equation Used for Computing $\frac{\operatorname{cov}(X, Y)}{s_{X}{ }_{y} y}$