Fixed effects model urgent help

So I have a dataset which I am trying to use the fixed effects model on. I am confused if I am doing it correctly.

I am using panel data to predict Austria's GDP using Trade, Government Spending, Tax Rates and unemployment as explanatory variables.

I am averaging all of the values I have over all time periods, then subtracting them from the original values as the model says. I then re-run the regression using the new values. However, I keep getting incredibly similar results when I summarize my new regression. Am I doing this right? Please help!!