5.2 Interpretation of Parameter Estimates
One source of complication when interpreting parameters in the logistic regression model is that they’re on the logit or log-odds scale. We need to be careful to convert them back before interpreting the terms of the original variables.
- exp(β0)= the odds that the success characteristic is present for an individual for which x=0, i.e., at the baseline. If multiple predictors are involved, all would need to be set to 0 for this interpretation.
- exp(β1)= the multiplicative increase in the odds of success for every 1 unit increase in x. This is similar to simple linear regression but instead of an additive change, it is a multiplicative change in rate. If multiple predictors are involved, others would need to be held fixed for this interpretation.
- If β1>0, then exp(βj)>1, indicating a positive relationship between x and the probability and odds of the success event. If βj<0, then the opposite holds.