Polynomial Basis Functions

Polynomial basis functions are mathematical building blocks used to approximate complex shapes or data patterns. They are simple functions like constant (1), linear (x), quadratic (x²), cubic (x³), and so on. By combining these basic functions with different weights, we can create a polynomial curve that closely fits or models data or relationships. This approach simplifies analysis and prediction, especially in regression or curve-fitting tasks, by relying on a structured set of functions that collectively capture various types of patterns in data.