Covariance vs. Correlation

Covariancenoun

(statistics) A statistical measure defined as \scriptstyle\operatorname{Cov}(X, Y) = \operatorname{E}((X - \mu) (Y - \nu)) given two real-valued random variables X and Y, with expected values \scriptstyle E(X)\,=\,\mu and \scriptstyle E(Y)\,=\,\nu.

Covariancenoun

(object-oriented programming) The conversion of data types from wider to narrower in certain situations.

Covariancenoun

a statistical measure of the relationship of two variables, formed by multiplying the difference of each variable from its mean, both variables being measured at the same time, and averaging all such products.

Covariancenoun

statistical measure of the variance of two random variables measured in the same mean time period

Covariance

In probability theory and statistics, covariance is a measure of the joint variability of two random variables. If the greater values of one variable mainly correspond with the greater values of the other variable, and the same holds for the lesser values (that is, the variables tend to show similar behavior), the covariance is positive.

Correlationnoun

A reciprocal, parallel or complementary relationship between two or more comparable objects

Correlationnoun

(statistics) One of the several measures of the linear statistical relationship between two random variables, indicating both the strength and direction of the relationship.

Correlationnoun

(algebra) An isomorphism from a projective space to the dual of a projective space, often to the dual of itself.

Correlationnoun

Reciprocal relation; corresponding similarity or parallelism of relation or law; capacity of being converted into, or of giving place to, one another, under certain conditions; as, the correlation of forces, or of zymotic diseases.

Correlationnoun

a reciprocal relation between two or more things

Correlationnoun

a statistic representing how closely two variables co-vary; it can vary from -1 (perfect negative correlation) through 0 (no correlation) to +1 (perfect positive correlation);

Correlationnoun

a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other

Correlation

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. In the broadest sense correlation is any statistical association, though it commonly refers to the degree to which a pair of variables are linearly related.