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Regression Models Summary Overview

Regression Model When to Use / Definition
Simple Linear Regression Used when both the dependent variable and the independent variable are continuous variables and there is a linear relationship between them.
Multiple Linear Regression Used when the dependent variable is continuous and we have more than one independent variable in a linear model equation.
Simple Logistic Regression Used when the dependent variable is binary (dichotomous outcome) and we have a single continuous or categorical independent variable.
Multivariate Logistic Regression When the dependent variable is a binary variable and we have more than one independent variable in a relation. The independent variables can be continuous variables or categorical variables. It is an extension of Logistic Regression.
Multinomial Regression When the dependent variable has more than two categories and we have more than one independent variable in a relation.
Ordinal Regression When the dependent variable is an ordinal variable and we have more than one independent variable in a relation.
Poisson Regression When the dependent variable is a count variable and we have more than one independent variable in a relation.
Probit Regression An alternative approach to logistic regression models using normal cumulative distributions, normally applied when handling binary dependent variables.
Nonlinear Regression Used when the analytical correlation pattern parameters run in curves or clusters that cannot be properly mapped with straight linear parameters.