Re: graph or chart,
you pick em based on what you prefer.
I have done things like this to to some predictions based on history. You will be best served if you decide what kind function you will be fit. Simpler stuff can be handled explicitly. The more advanced would profit by using the modal analysis tools.
You have a number of other challenges here.
1) Filtering induces a phase shift. THis can be handled using a "zero-phase" shift technique (I found it on this site some yeras ago).
2) Edge effect. When you zero-phase shift, you loose resolution at the begining and end. Problem is that the "most recent end" is the end you are most interested in because you are trying to do predictions.
What do you expect your data to look like?
How fast is it coming in
?
Ben