Local Regression
Local Regression, also known as LOESS or LOWESS, is a statistical technique used to create a smooth curve through a scatter plot of data points. Unlike traditional regression methods that fit a single line to all data, local regression fits multiple lines to localized subsets of the data. This allows for capturing complex relationships and patterns that may not be evident with a global approach.
The process involves selecting a neighborhood around each data point and fitting a regression model to that subset. The size of the neighborhood can be adjusted, influencing the smoothness of the resulting curve. Local regression is particularly useful in exploratory data analysis and when dealing with non-linear relationships.