If you are using the method of least square for fitting trends in an annual time series containing 25 consecutive yearly values, what coded value do you assign to X for the most recent recorded year in the series?

If the series contains 25 consecutive yearly values, and you are using least squares to fit trends, then you can assign coded values to X starting from 1 for the first recorded year and increment by 1 for each subsequent year. Therefore, for the most recent recorded year in the series, you would assign X a value of 25.