Which of the following is the equation used for computing the sample correlation coefficient?
A) $ r_{x y}=\operatorname{cov}(X, Y)\left(s_{x} S_{y}\right) $

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

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

D) $ r_{x y}=\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) $ r_{x y}=\operatorname{cov}(X, Y)\left(s_{x} S_{y}\right) $

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

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

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

Quizplus · Accepted Answer

The equation used for computing the sample correlation coefficient is given by option B. It involves dividing the covariance between X and Y by the product of their standard deviations. Option A is incorrect because it misses the division by the product of standard deviations. Option C is incorrect because it only has the standardized values and does not calculate the covariance. Option D is incorrect because it involves taking the square root which is not part of the formula for the correlation coefficient.

Which of the Following Is the Equation Used for Computing rxy=cov⁡(X,Y)(sxSy) r_{x y}=\operatorname{cov}(X, Y)\left(s_{x} S_{y}\right) rxy​=cov(X,Y)(sx​Sy​)

Which of the Following Is the Equation Used for Computing $r_{x y}=\operatorname{cov}(X, Y)\left(s_{x} S_{y}\right)$