How to write an algorithm for calculating an almost linear correction factor for sensor readings?

Question

C++ / C#

Hello.
There is a sensor that gives indicators in "parrots" (capacity) cur_cap, the dependence of these readings on the sensor supply voltage (there is a slight drift) with the reference cur_cap has been empirically established. We got two dependent data arrays int cap(x1,x2,.....) and volt(y1,y2,.....) . How to write a function to correct sensor readings depending on voltage using array data? Thanks in advance.

Answer 1

Enjoy - Lagrange Interpolation Polynomial

Answer 2

If I understood correctly.
There are two sets of data X(voltage), Y(capacitance). We understand that Y is measured with some error.
It is necessary to find a function F(X), such that Ф(Ymod-Y) -- in fact, the error between the measured (Y) and calculated (Ymod) values ​​at given points from X -- would be in some sense optimal (for example - minimum).
F () - in the simplest case, a linear function, in more complex cases, not necessarily.
If so, then we have the classical problem of building a regression model. Having such a model, it is possible for arbitrary x to "predict" the expected value of y.
If by Y we mean not the values ​​themselves (capacity), but the corrections that you make at given points X, then the regression model constructed in a similar way will "predict" the correction that must be taken into account at an arbitrary point x.

Answer 3

MNC?