Linear Models and Regression Analysis

"In statistics, the term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with linear regression model. However, the term is also used in time series analysis with a different meaning. In each case, the designation “linear” is used to identify a subclass of models for which substantial reduction in the complexity of the related statistical theory is possible. Linear models play a central part in modern statistical methods. On the one hand, these models are able to approximate a large amount of metric data structures in their entire range of definition or at least piecewise. Regression analysis is a statistical tool for the investigation of relationships between variables. This book details on the approaches of linear models and regression analysis and their applications."