Consider the following time series data. Week 1 2 3 4 5 Value 17 13 15 11 15 (a) Choose the correct time series plot. (1) 20 18 16 Time Series Value 4 2 0 6 13 2 3 4 Week (t) 5 6 (11) (iii) Time Series Value Time Series Value 20 18 8 6 4 2 0 2 0 2 2 3 3 4 Week (t) 4 Week (t) 5 D (iv) 3 4 Time Series Value 4 2 5 Week (t) - Select your answer - 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 Forecast 1 17 2 13 15 11 15 13 5 6 MSE: 20 18 16 14 12 2 3 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 17 13 15 11 15 6 13 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 provide the better forecast based on MSE? -Select your answer- Explain Using this approach results in a-Select your answe nswer- 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 digit precision for the exponential smoothing coefficient alpha 2 3 4 5