Panel regressions with an interaction term between a time dummy variable and a time invariant variable

I have estimated the coefficients of the following equation, using the fixed-effect model:


I have observations from 1980 to 2010 for Yit and Xit.I am interested in the interaction term. The dummy variable Dt is equal to 1 for years 2000 to 2010 (and 0 otherwise) and is interacted with the continuous variable Ci which is time-invariant (but varies over the units i).

My question is: can β2 be interpreted as the differentiated effect of C on Y during the period 2000-2010 compared to 1980-2000?



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