What is the relationship between the correlation of two variables and their covariance?

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What is the relationship between the correlation of two variables and their covariance?

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Answer 1 · 2015-11-03T13:13:02

The explanation is given below.

Explanation:

When we study the data retailing to two variables X and Y, we obtain a measure of the correlation coefficient between X and Y.
The correlation coefficient is obtained as
r = $[$ $[$ Cov(x,y) $/ (σ_{x}$ $/(sigma_x$ . $σ_{y})$ $sigma_y)$ ]
Here $C o v (x, y)$ $Cov(x,y)$ signifies the variation between X and Y
$σ_{x}$ $sigma_x$ is a measure of the standard-deviation within the values of X.
$σ_{y}$ $sigma_y$ is the measure of the standard deviation of values within Y.

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What is the relationship between the correlation of two variables and their covariance?

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