but i want to find *"best-fit curve" *

What type of curve? Polynomial (of which your rejected linear is a low-order variant)? Exponential or logarithmic? Bell curve? S-curve? Circle? Axis-aligned ellipse? non-axis-aligned ellipse? There are lots of curvy possibilities here...

-tkc
(Blast...if this post showed up a couple days later, I could abuse Talk Like A Pirate day to say things like "avast, ye s-curvy sea-dog" or intone a pirate's parrot with "Piecewise of eight, Piecewise of eight" and "Polynomial want a cracker")






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