# Positive correlation

Assuming finite variances, two random variables $X$ and $Y$ are positively correlated if $\mathbf{E}(XY) > \mathbf{E}X\,\mathbf{E}Y$, where $\mathbf{E}X$ denotes the mathematical expectation of $X$. In case the conditional mean of $X$ given $Y$ is linear in $Y$, positive correlation implies that this conditional mean is increasing in $Y$.