{b} Develop the three-week moving average for this time series. (Round your answers to two decimal places.) Compute MSE. {Round your answer to two decimal places} What is the forecast for week T? E (c) Use 1:: = 0.2 to compute the exponential smoothing 1uralues for the time series. Compute MSE. {Round your answer to two decimal places} What is the forecast for week T? {Round your answer to two decimal places.) E Consider the following time series data. Week 1 2 3 5 6 Value 19 12 15 10 16 13 (a) Construct a time series plot. 20- 20 20 18- 20 T 18 16 Time Series Value 14 12 Time Series Value Time Series Value Time Series Value 10- ONPOOGNE ON 0 2 3 4 5 6 0 2 3 4 5 6 7 Week 1 3 4 5 6 7 0 3 4 5 6 7 1 2 2 Week O Week Week What type of pattern exists in the data? The data appear to follow a cyclical pattern. The data appear to follow a trend pattern. The data appear to follow a seasonal pattern. The data appear to follow a horizontal pattern. (b) Develop the three-week moving average for this time series. (Round your answers to two decimal places.) Time Series Week Forecast Value 1 19 2 12 3 15 10 5 16 6 12 Compute MSE. (Round your answer to two decimal places.)(d) Compare the three-week moving average forecast with the exponential smoothing forecast using Lt = 0.2. Which appears to provlde the better forecast based on MSE? Explain. '5?! The exponential smoothing using c: = 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach. 3' The th ree-week moving average provides a better forecast since it has a larger MSE than the smoothing approach. The exponential smoothing using c: : 0.2 provides a better forecast since it has a smaller MSE than the three-week moving average approach. '5?! The th ree-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach. (e) Use c: : 0.4 to compute the exponential smoothing values for the time series. Week "Tail?\" Forecast 1 1 9 5 16 |:| Does a smoothing constant of 0.2 or 0.4 appear to provide more accurate forecasts based on MSE? Explain. " 3' The exponential smoothing using c: = 0.4 provides a better forecast since it has a smaller MSE than the exponential smoothing using a = 0.2. '5?! The exponential smoothing using c: = 0.4 provides a better forecast since it has a larger MSE than the exponential smoothing using c: = 0.2. The exponential smoothing using c: 0.2 provides a better forecast since it has a larger MSE than the exponential smoothing using c: = 0.4. '32:? The exponential smoothing using c: 0.2 provides a better forecast since it has a smaller MSE than the exponential smoothing using or : 0.4