So I remember reading somewhere that when we have external regressors,
auto.arima cannot make correct predictions for the order of difference for either seasonality or the main time series itself (correct me if I'm wrong!)
Now, I'd like to know whether we'd need to difference the external regressors as well? Also, in the case of having external regressors (a few time series and a few dummies for seasonal patterns in those time series), can
auto.arima even calculate the optimal MA and AR?
Also, I have weekly seasonality as well as quarterly and yearly seasonality; since I can't specify that many seasonalities in auto.arima, I'm inputting a lot of dummy variables for quarters and months; will that yield mathematically correct results?
Further, for those of you who have worked with SAS, when using the forecast procedure and estimating the input variables (the external regressors), does it automatically calculate the MA and AR for each external regressor?