Problem 2 (10pts). Assume the training data for the classification task is given as follows: (r(),y()), (r(2), y()), (r(M), y(M)), with y() {0,1}, i = 1,2,..., M. The logistic regression is employed to learn this dataset. a) What is the prediction for a given input z? b) What is the loss function of the logistic regression method?