Forecasting Weekly Data. 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 forecast for week 7. c. Compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. Use =0.2 d. Compare the three-week moving average forecast with the exponential smoothing forecast. Which appears to provide the better forecast based on MSE? Explain. e. Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for =0.2