Question 5.(5 marks) Consider the following data points P = (4.34): A=(0,1), A-(1,0), (a) Plot the given points. (b) Consider all of the straight lines that pass through at least 2 of the points P. Of these lines, which have the property that the number of points either on or above the line, and the number of points either on or below the line, are both at least 37 (2,0), P (3, 3), P = (4.3). (c) For each of the lines found in part (b) (which satisfy the property that the number of points either on or above the line, and the number of points either on or below the line, are both at least 3) write down the equation of the line in the form yar+b, and then calculate the sum d = |a+b-y+la+by++las+b-981- (d) Find the LAD linear regression lines for this system (there are more than one in this question). Give full details of your calculations. Then plot the LAD regression lines on your answer to part (a).