Given the gradient descent algorithms for linear regression (discussed in Chapter 2 of Module 2), derive weight update steps of stochastic gradient descent (SGD) for linear regression with L2 regularisation norm. Show your work with enough explanation in your PDF report; you should provide the steps of SGD.

Hint: Recall that for linear regression we defined the error function E. For this assignment, you only need to add an L2 regularization term to the error function (error term plus the regularization term). This question is similar to Activity 2.1 of Module 2.