local polynomial fitting

Local polynomial fitting is a statistical method used to analyze data points by fitting simple polynomial curves (like straight lines or gentle bends) to small, nearby subsets of data. Instead of fitting one complex curve to the entire dataset, it focuses on local regions, adjusting the curve shape to best match the data nearby. This approach captures local patterns and trends accurately without assuming a single model for the entire data, making it especially useful for understanding complex, non-linear relationships in data that may vary across different areas.