If I have a list of values throughout time, say a list of values for every minute throughout an hour of monitoring something, can I somehow 'predict' or estimate what the value would probably be in the future, say another 20-30 minute after my last known value? And if so, how can this be done?

I figure maybe I could do it with just a 'best-fit' to a quadratic and look at the value for x=90 (60 known values + 30 values into the future) but I feel like that probably isn't going to be the most accurate method. Does anyone have any suggestions for a better way to do this? Just a note, I do have very little statistical experience, so please bare with me if this question is known to be easy (or impossible).

Thanks!