I'm a little confused about how to use a regression model with centered variables. I know how centering variables works for reducing multicollearity and easier interpretation especially when there are interaction terms.

However, after a model was built with centered variables, how can I apply this model to other independent data or the population where sample is drawn. The data we are applying the model on often times have a different mean value. So should I use coefficients of non-centered variables? If not, how can I use this model on a different set of data?

Thanks!