Consider the following time series data. Week Value 1 2 3 4 5 18 13 15 13 (a) Choose the correct time series plot. (i) Time Series Value 20 18 14 10 8 6 15 ONA 6 15 3 4 Week (t) S (iii) Time Series Value Time Series Value 9 4 2 0 16 14 12 8 6 1 2 3 4 Week (t) 5 (C * (iv) Time Series Value Time Series Value 12 10 9 4 2 0 14 8 6 0 1 2 3 3 Week (t) Week (t) 5 5 6 9 What type of pattern exists in the data? Select your answer - (b) 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 1 18 2 13 15 13 3 4 5 6 3 MSE: The forecast for week 7: 4 (c) Use a = 0.2 to compute the exponential smoothing values for the 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 1 2 5 15 6 15 MSE: 18 13 15 Forecast 13 15 15 Forecast. (d) Compare the three week moving average forecast with the exponential smoothing forecast using a 02. Which appears to provide the better forecast based on MSE? Select your answer- Explain Using this approach results in a Select your answer - MSE (e) Use trial and error to find a value of the exponential smoothing coefficient a that yields the minimum MSE. Do not round intermediate calculations. Use a two-decimal digt precision for the exponential smoothing coefficient. alpha