Regression 7. Understanding Non-linear Regression with Polynomial Curve fitting
Polynomial Curve Fitting Polynomial curve fitting is a statistical technique used to model a relationship between a dependent variable and one or more independent variables using a polynomial equation . This approach is particularly useful when the relationship between the variables is non-linear and cannot be adequately described by a simple linear model. Example Create a dataset with one independent variable x and a dependent variable denoted by sin(2πx). x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 sin(2 πx ) 0 0.5878 0.9511 0.9511 0.5878 0 -0.5878 -0.9511 -0.9511 -0.5878 0 x 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 sin(2 πx ) ...