Find a function from values Is there any way to find a function, even just similar, from a set of values? I get these pairs of values from two sensors and would like to find a simple function that describes the relationship between these pairs of numbers and then to estimate the values without having to take each time. I have a "black box" sensor, connected to a potentiometer that gives me a value for the direction of a servo, I noticed that the value is offset by a number (eg 200 -> 11, 72 -> 5) and I wanted to understand if it was possible to solve this error from outside this box approximating the value of error that could return from a given parameter. example: I have some values (x, y): {(200, 11), (72, 5), (36,3), (28,3), (18,2), (12,2), ...} what is the function that can return these values and all others who follow this trend on a graph, more easily and better possible? thank you, hello!

Assuming those values came from a polynomial, what you want to do is _polynomial interpolation_.

In this case, since you have six points, the degree of the polynomial is at most five, since six coefficients are needed to uniquely determine a quintic.

Wolfram Alpha is able to determine interpolating polynomials from given data, e.g. this.