**Cointegration between two data series**:

X and Y are 1-cointegrated if exists

*a, ut*such that: xt = a·yt + ut

_{ with u stationary in average and variance. Cointegration tries to capture historical trends and dynamics between two series.}**Single correlation between two data series**:

Does not include any kind of historical trends, considering only how one variable explain point by point the other one.

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