# Regression with zero-inflated continuous variable, zero-inflated binomial variable and integer response variable

Consider a model where:

• Y (response variable): continuous and both positive and negative

• X1 (explanatory variable): continuous data, but with many zero values

• X2 (explanatory variable): binomially distributed data [0,100,1], but with many zero values

In planning a good approach I assume that:

• the many zeros for X1 (the continuous variable) will not be a problem as long as the residuals of my model are roughly normally distributed.

However, I have no idea how to handle X2. I cannot use binomial regression because my Y is both negative and positive. Could somebody point me in the right direction on how to handle this variable?

• Logistic regression (=binomial) refers solely to the outcome which is assume is your Y. That is not to say that there are no issues with X1 and x2 Can you clarify that Y is indeed the outcome? Aug 13, 2016 at 12:49
• I edited the question, thanks for highlighting the need for clarification. Y is the response variable. Aug 13, 2016 at 12:52