Consider the following time series data. Week 1 2 3 4 5 6 6 Value 12 18 18 15 17 18 (a) Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. Do not round intermediate calculations. If required, round your answers to two decimal places. Week Value Forecast 1 12 2 18 3 18 4 15 5 17 6 18 MSE: The forecast for week 7: Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE (b) and a forecast for week 7. Do not round intermediate calculations. If required, round your answers to two decimal places Week Value Forecast 1 12 2 18 3 18 4 4. 15 5 17 6 18 MSE: The forecast for week 7: (c) Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE? (Select your answer: 1. Three-week moving average; 2. Exponential Smoothing.) Explain. Using this approach results in a (Select your answer: 1. lager; 2. smaller) MSE. Use trial and error to find a value of the exponential smoothing coefficient a that yields the (d) minimum MSE. Do not round intermediate calculations. Use a two-decimal digit precision for the exponential smoothing coefficient alpha