# How to explain the meaning of coefficients standing for ATT by words in DID setting?

In a generalized DID setting, we have the equation (I copy from a hot discussion that triggered my interest)

$$Margin_{ikjt}$$ = $$\alpha$$ + $$\beta$$ $$(Leniency Law)_{kt}$$ + $$\deltaX_{ikt}$$ + $$\theta_{jt}$$ + $$\gamma_i$$ +$$\epsilon_{ikjt}$$ (2)

And from what I can see, $$(Leniency Law)_{kt}$$ seems to be ATT (Average Treatment Effects on Treated as described thoroughly here), is it correct?

I am wondering what should we explain the coefficient of $$(Leniency Law)_{kt}$$ here. Say for example, $$\beta$$=0.03, what can we write for $$\beta$$ formally?

It seems to me that 0.03 is the average difference between pre-and post Leniency laws for the treated population. But I am not sure, in research paper, how researchers will say it out.