Simple curve fitting smoothing algorithm

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Is there any conditionally simple algorithm to obtain a best fit (equation) for points set? I have a few points for which I want to have a "smooth" function is constructed that approximately fits the data. I've read about Gauss–Newton algorithm, but problem is that I don't implement it by itself. My task is create a UI graph and for general view (when I need to show all data in small screen area) I want to substitute a noisy curve with smooth curve (like a picture).