I'm trying to get caught up in some notes, and the topic is pooled cross sectional data. If we have the regression: $$lwage_i=\beta_0+\beta_1married_i+\delta_0yr10_i+\delta_1married_i\times yr10_i+\varepsilon_i$$ Where $lwage$ is the log wage, $married$ is a dummy variable which $=1$ if a person is married and $0$ if not, and $yr10$ is a dummy variable indicating whether the observation was recorded in the year 2010, as opposed to being recorded in the year 2000. There's a blank spot in the notes that I didn't get and it asks: How do we interpret $\delta_1$?
I think it's correct to say that $\delta_1$ measures how the return on whether or not someones married has changed in the past $10$ years. Is that correct? Or am I wrong? I read a little bit in my textbook and I think that's what it's saying.