Question: Is it appropriate to calculate Cohen's $d$ (effect size) from the regression coefficient of an independent categorical variable?
Background: My regression coefficient represents participation in an intervention (treatment group = 1; comparison group = 0).
My inclination is to simply divide the coefficient by the standard deviation of the dependent variable.
This approach makes conceptual sense to me since this coefficient represents the average predicted difference in the dependent variable between subjects in the treatment and comparison groups (while all other independent variables are held constant).
Does the application of Cohen's $d$ extend to multiple regression?