Consider the following time series data: a. Construct a time series plot. What type of pattern exists in the data? b. Develop a three-week moving average for this time series. Compute MSE and a for Month 8. c. Use =0.2 to compute the exponential smoothing values for the time series. Comnute MSE and a for Mgnth 8. a. Construct a time series plot. What type of pattern exists in the data? b. Develop a three-week moving average for this time series. Compute MSE and a for Month 8. c. Use =0.2 to compute the exponential smoothing values for the time series. Compute MSE and a for Month 8. d. Compare the three-week moving average with the exponential smoothing using =0.2. Which appears to provide the better based on MSE? e. Use trial and error to find a value of the exponential smoothing coefficient that results in a smaller MSE than what you calculated for =0.2