Consider the following time series data. Week 1 N 3 4 5 6 Value 18 13 15 13 15 15 (a) Choose the correct time series plot. (1) 20 18 16 Time Series Value 6 4 2 0 2 3 4 5 Weekt (ii) 20 18 16 12 Time Series Value (ii) Time Series Value 2 0 1 N 3 5 9 4 Weekt (iii) Time Series Value 6 4 2 0 1 N E 5 6 4 Week (t) (iv) Forecasting 1 0 1 2 3 4 5 OR Weekt (iv) 20 18 16 14 12 Time Series Value 10 8 4 2 O 1 2 5 OP Weekt - Select your answer": What type of pattern exists in the data? - Select your answer - Horizontal Pattern Trend Pattern trage 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 18 2 13 3 15 4 13 15 5 6 15 MSE (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 Forecast 1 18 2 13 3 15 4 13 5 15 6 15 MSE: The forecast for week 7: (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 Forecast 1 18 2 13 3 15 4 13 5 15 6 15 MSE: The forecast for week 7: (d) Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to - Select your answer - Explain. Using this approach results in a - Select your answer - MSE MSE The forecast for week 7 (0) Compare the three week moving average forecast with the exponential smoothing forecaut using a = 02. Which appears to provide the better forecast based on MSE? - Select your answer Explain Uwing this approach results in a - Select your answer. . MSE (c) Use trial and error to find a value of the exponential smoothing coefficierto that yields the minimum MSEDo not round intermediate calculations. Use a two-decimal digt precision for the exponential smoothing coefficient alpha Check My Work