In this popular question, Maximum Likelihood Estimation (MLE) in layman terms, The most voted answer by @gregmacfarlane says
In a linear model, we assume that the points follow a normal (Gaussian) probability distribution, with mean $x\beta$ and standard deviation $\sigma^2$
Is this statement wrong? where it should be with "variance" $\sigma^2$ but not "standard deviation". And why in the end of the answer,
summary on linear model says "Residual standard error: 1.32", but not "Residual variance: 1.32"?