I am using the famous Titanic competition from Kaggle as an example. The binary classification problem is looking for a good classifier or a combination for predicting "survived" or not.
What if I have another data column as "survival rate" (numerical) in this problem, which of course could be easily converted to the categorical response of "survived". e.g., categorical "0" is corresponding to the survival rate "0 - 50%), and "1" is corresponding to the rate "50% - 100%". My question is really how the "survival rate" set could be helpful for the goal of classification.
My real world case happens to be a multi-class classification problem, which also comes with a corresponding numerical "rate" response. Thanks for any suggestions in advance!