Explain output of logistic classifier
It means your logistic classifier is biased towards one class, this could be because of below reasons that I can think of.


Class Imbalance:  This article explains how to identify and overcome the class imbalance problem. 
Overfitting: This article explains how to tackle over fitting.


Logistic classifier works better if data is linearly related, if you find non-linear relationships in data I would suggest use better algorithms like GBM/SVM/Random forest, which will give you much better and accurate results.