Fitting non-linear data

Question

Fitting non-linear data. The data (available here at: Desmos) can be modeled with a rational function that has a quadratic denominator

Find the best rational model and use it to predict the behavior as x increases beyond 2.

please help!!!!!

Answer 1

Typically desmos will calculate regression of nonlinear type functions if you write it in a "linear form" such as:

y₁ ~ a(1/(x₁ - h)²) + k

I used this and it gave me a regression (solved for the values of a, h and k) giving me an r² value of 0.9732, so not too bad. Give it a try.

I'm not sure if that's the sort of thing you are being taught or not but it's OK. I think a log regression would give better results but that's not the question.