NOTE:- Please need the correct answer with a full explanation and do not copy past from similar questions on Chegg or elsewhere.

Q-2)

A colleague of yours suggest that the parameter must be itself dependent on the weather and other factors since people bike when its not raining. Assume that you model as i=exp(wTxi) where xi is one of the example features and w is a set of parameters. Train the model with SGD with this assumption and compare the MSE of the predictions with the Maximum Likelihood I approach. You may want to use this partial derivative of the log likelihood function