Correct Equation for Pooled OLS Regression (with Time Dummies and Interaction Terms)
I am not sure if I understand your research question correctly, but you may be trying to determine if the effect of critical reception on a film's revenue changes over time.  That means you only have one observation per film with its revenue and film-specific control variable values (including year of release and single critical reception value) saved in multiple variables.  In that case, this is the model equation you should have:



You should not have both i and t subscripts for any film-specific variables if you only have one set of values per film.  The i subscript is used on all film-related variables, including year of release.  I included t superscripts to make it clear that there are multiple Year variables.  And if you are not doing a fixed effects model (film fixed effects), there should not be any subscript on the intercept term.