[Haskell-beginners] Num instnace for [Double]

Hey, I am working a lot with timeseries (with instances at discrete moments) of doubles. So I use [Double]. Now I want to be able to do stuff like timeSeries3 = timeSeries1 + timeSeries2 So I was thinking, I create a newtype newtype TimeSeries a = TimeSeries [a] Now, can I somehow autoderive List, Monad, MonadPlus for TimeSeries? Also I would like to derive from Num. Most of the things can be done pointwise! What about fromInteger??? Should that just be a list with one element? Or does it simple not make sense? Thanks! Nathan