a through e is one whole problem

Consider the following time series data. Week 1 2 3 3 4 4 5 5 6 6 Value 19 11 13 10 14 12 (a) Construct a time series plot. 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 horizontal pattern The data appear to follow a seasonal pattern. (b) Develop the three week moving average for this time series. (Round your answers to two decimal places.) Week Time Series Value Forecast 1 19 2. 11 3 13 4 10 5 14 6 12 Compute MSE. (Round your answer to two decimal places.) MSE What is the forecast for week 7? (c) Use a 0.2 to compute the exponential smoothing values for the time series. Week Time Series Value Forecast 1 1 19 2 11 3 13 4 10 5 5 14 12 Compute MSE (Round your answer to two decimal places.) MSE What is the forecast for week 77 (Round your answer to two decimal places.) (a) 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 MSU? Explain The three week moving average provides a better forecast since it has a smaller MSE than the smoothing approach using 0.22 The exponential smoothing using 0.2 provides a better forecast since it has a smaller MSE than the three week moving average approach The exponential smoothing using 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach The three-week moving average provides a better forecast since it has a farer Methan the smoothing approaching - 0.2 () Use trial and error to find a value of the exponential smoothing coefficient that results in a smaller MSE than what you calculated for a 0.2