# If two variables have a negative correlation, can they have a positive covariance?

Not at all; Correlation Coefficient ( Karl Pearson) is given by r = Cov(X, Y) / ${\sigma}_{x}$ ${\sigma}_{y}$ . Both ${\sigma}_{x}$ and ${\sigma}_{y}$are positive. So r is negative if and only if Cov(X, Y) is negative.