2. (30 pts) Consider the following dataset of 4 points representing the per- formance of two mutual funds over four consecutive quarters -fund - fund 2 y-relative performance 200 150 150 100 50 100 100 50 1 -1 -1 Here, 1 and 2 represent the percentage return on investment for two different mutual funds in a given quarter, and y represents the relative performance of the two funds (positive values indicate that fund 1 outper formed fund 2, while negative values indicate the opposite). (a) Plot the data points in a 2D coordinate system, with 2, on the x-axis and 2 on the y-axis. Can we separate this data with a perceptron? (b) Initialize the weights and bias of a perceptron to w [1.1.1] (c) Apply the Perceptron Learning Algorithm to the dataset for 1 epoch, Le., one pass over all data points. Show all your calculations, includ- ing the updated weights. (d) Write down the equation of the decision boundary (ie., the line that separates the two classes of points) obtained by the perceptron after 1 epoch. Plot the decision boundary