Regression
Name  When to use  
Linear Regression 
When the dependent variable is conituous and we have one independent variable in a relation  
Multiple Linear Regression  When the dependent vairbale is continuous and we have more
than one independent variables in a relation.The Indepedent variables can be
continous variables or categoriucal variables It is an extension of Linear Regression 

NonLinear Regression  When the relationship between the independent and dependent variable assumes non linear relationship, thene non linear regression model is used  
Two Stage Least Square Regression  Two Stage Least Square Regression is used when a predictor variable is correlated with the error term. In the first stage, the variable which is correlated with the error term(endogenous) is estimated from the other variables which are not correlated with the error term(exogenous). In the second stage the estimated variable (exogenous) will be used in the place of the original variable (endogenous).  
Logistic Regression  When the dependent variable is a binary variable and we have one independent variable in a relation  
Multivariate Logistic Regression  When the dependent variable is a binary variable and we have more than one independent variable in a relation.The Indepedent variables can be continous variables or categoriucal variables.It is an extension of Logistic Regression  
Multinomial Regression  When the dependent variable is haveing more than one category and we have more than one independent variable in a relation  
Ordinal Regression  When the dependent variable is a ordinal varibale and we have more than one independent variable in a relation  
Poisson Regression  When the dependent variable is a count varibale and we have more than one independent variable in a relation  
Probit Regression  Similar to Logistic Regression 
Tutorial on Introduction to biostatistics