# How to do future prediction with year as a qualitative predictor in regression model?

This is a general question. Hypothetically, I have a polynomial regression model where year is a qualitative predictor with multiple classes, converted into binary dummy predictors. E.g., if I have data for years 2000 thru 2002, the qualitative predictor would be

\begin{align} year = \begin{cases} 0 & if \ 2000 \\ 1 & if \ 2001 \\ 2 & if \ 2002 \end{cases} \end{align}

and the dummy variables would be

\begin{align} year0 = \begin{cases} 0 & if \ 2000 \\ 1 & if \ otherwise \end{cases} \end{align}

and etc. for year1, year2. And year0 is left out of the model to avoid the "dummy variable trap".

Can I still make an prediction for a particular future year with this model? The future year is not one of the dummy predictors.