2) A teacher of a local community art class has collected information about the number of students attending her class over the past few months as shown below. (20 min) (20 marks) Month Ft+1 = aY, + (1 - a) F & F = Y, MAE 1 2 3 4 Sleil Students 12 15 18 22 24 27 +1 n-k 5 6 a. What are the forecasts for months 4 through 7 using "average of all previous data" model? Round the forecasts to two decimal places. (5 marks) b. With a smoothing factor of 0.3, what are the exponentially smoothed forecasts for months 2 to 7? Round the forecasts to two decimal places. (7 marks) c. Compare the MAE for the "average of all previous data" forecasts for months 4 through 6 to the MAE for the exponential smoothing forecasts for months 4 to 6. (8 marks)