Covariance

From Conservapedia
This is an old revision of this page, as edited by Sjay (Talk | contribs) at 01:01, February 22, 2009. It may differ significantly from current revision.

Jump to: navigation, search

Covariance is a measure of the linear dependence of two variables. If two variables tend to vary in the same direction, then they have a positive covariance. If they tend to vary in opposite directions, then they have a negative covariance.

The covariance between two random variables X and Y, having expected values and respectively, is as follows:

where E is the operator for the expectation.

If X and Y are completely statistically independent from each other, then they have zero covariance.

Note that if X and Y have covariance zero, they are uncorrelated but are not necessarily independent.