Suppose we have the following logistic regression model:

logit(p)=β0+β1x1+β2x2

Is β0 the odds of the event when x1=0 and x2=0? In other words, it is the odds of the event when x1 and x2 are at the lowest levels (even if this is not 0)? For example, if x1 and x2 take only the values 2 and 3 then we cannot set them to 0.

**Answer**

β0 is not the *odds* of the event when x1=x2=0, it is the *log of the odds*. In addition, it is the log odds *only* when x1=x2=0, not when they are at their lowest non-zero values.

**Attribution***Source : Link , Question Author : logisticgu , Answer Author : gung – Reinstate Monica*