Consider the following time series data. 1 2 3 6 Month Value 4 5 12 19 7 15 24 13 20 23 (a) Construct a time series plot. What type of pattern exists in the data? (6 Marks) (b) Develop the three-month moving average forecasts for this time series. Compute Mean Squared Error (MSE) and a forecast for month 8. (12 Marks) (c) Use a = 0.2 to compute the exponential smoothing forecasts for the time series. Compute MSE and a forecast for month 8. (12 Marks)