I ran an experiment and obtained the points shown in black below.
I would like to smooth the curve or fit (something like the red curve) in order to identify the elbow.
The problem is that the experiment is too expensive and there is a large amount of variance in the obtained points. I tried fitting a second degree polynomial and an exponential curve without sucess (the curve is too smooth and the elbow is lost). Total precision is not necessary.
What is the best way to fit a curve in order to identify the elbow?