Nonlinear Regression - The Statistics Notebook

Regression

Flexible regression represents a relationship with basis functions and controls its roughness. The aim is to capture structure without fitting every fluctuation in the sample.

Start with the overview and function spaces, then build spline bases. Penalized splines connect smoothness to estimation; the final topic covers tuning and uncertainty.

Nonlinear Regression

Overview and model setup.

Function Spaces and Kernels

Represent functions with bases and kernels.

Spline Bases

Build smooth curves from polynomial pieces.

Penalized Splines

Balance fit and curve roughness.

Spline Tuning and Uncertainty

Select smoothness and interpret uncertainty.