Goodness-of-fit statistics for general multiple-linear-regression equations are reviewed for the case of replicated responses. A modification of the coefficient of determination is recommended. This ...

Last month we explored how to model a simple relationship between two variables, such as the dependence of weight on height 1. In the more realistic scenario of dependence on several variables, we can ...

In recent columns we showed how linear regression can be used to predict a continuous dependent variable given other independent variables 1,2. When the dependent variable is categorical, a common ...

The Annals of Statistics, Vol. 46, No. 5 (October 2018), pp. 2479-2510 (32 pages) This paper investigates a class of goodness-of-fit tests for fitting an error ...

The purpose of this tutorial is to continue our exploration of regression by constructing linear models with two or more explanatory variables. This is an extension of Lesson 9. I will start with a ...

The previous method may be more familiar to statisticians when different notation is used. A linear model is usually written The following example illustrates the programming techniques involved in ...

Gordon Scott has been an active investor and technical analyst or 20+ years. He is a Chartered Market Technician (CMT). A line of best fit is a form of regression analysis that shows the relationship ...