Can Matlab decides function based on data to find the best taylor series to use?

Dear all,

Given a huge set of points (x,y) where x represents the time and y the residual. I want to express the residuals as a function of time using a Taylor series.

I understood everything here: https://nl.mathworks.com/help/symbolic/taylor.html, https://www.youtube.com/watch?v=sSnjqJrhc5c

From the scatter plot it is not clear to see which function to use as input for the taylor series. (See atached figure) Can I let matlab decide which function to use as bases for the Taylor series? If not, where can I find instruction to define my data such that matlab can consider it as a function of the type needed to apply the taylor function in matlab? Does anyone have a suggestion?

Thank you in advance.