The residual standard deviation, ,
indicates that the predicted outcome will be within +/-
units of the linear predictor for approximately 68% of the data points
(Gelman, Hill & Vehtari 2020, p.84). In other words, the residual
standard deviation indicates the accuracy for a model to predict scores,
thus it can be thought of as “a measure of the average distance
each observation falls from its prediction from the model”
(Gelman, Hill & Vehtari 2020, p.168).
can be considered as a measure of the unexplained variation in the data,
or of the precision of inferences about regression coefficients.