Regression-Based Predictive Analytics

Regression is one of the most commonly used multivariate statistical methods. Multivariate linear regression can integrate many explanatory variables to predict the target variable. However, collinearity due to intercorrelations in the explanatory variables leads to many surprises in multivariate regression. This chapter presents both basic and advanced regression methods, including standard least square linear regression, ridge regression and principal component regression. Pitfalls in using these methods for geoscience applications are also discussed.