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How to compare standard error of regression of linear model vs logarithmic linear model (they should notbe directly comparable since the dependent variable is different:

How to compare standard error of regression of linear model vs logarithmic linear model (they should notbe directly comparable since the dependent variable is different: y vs log(y))? What should be the criteria to select the best model in this case (also adjusted R squared should not be comparable since thedependent variable is different)?

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