Consider the following time series data: (b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. It required, round your answers to two decimal places, Do not round intermediate calculation. MSE The forecast for month 8 (c) Use a=0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation MSE: The forecast for month 8 : (d) Compare the three-month moving average forecast with the exponential smoothing forecast using a=0.2. Which appears to provide the better forecast based on MSE? (e) Use trial and error to find a value of the exponential smoothing coefficient a that results in the smallest MSE. Do not round intermediate calculations. Use a two-decimal digit precision for the exponential smoothing coefficient. a=