Jellybean mistakes 3: Model simmetries

One of the most often mistaken and forgotten problem in basic statistics, when they assume that the fitted regression model is symmetric, aka. does not matter if you fit x~y or y~x. Well, based purely on the method and definition of linear model fitting, this is a very wrong assumption and I think one of the main cause for this is that linear models are always interpreted together with correlation values where this causational direction is not present. Let’s see why and learn how to use and interpret correctley, morover what if you need a symmetric model.