An exponentiated logistic regression coefficient, i.e. Exp(B), that is close to one, indicates that predicted odds are not greatly influenced when the associated x-variable increases one unit.
This means that for every one unit increase in the x-variable, the odds of the outcome (as predicted by the logistic regression model) do not change significantly. In other words, the x-variable does not have a strong impact on the predicted odds of the outcome.
