Q2:  Time Series Analysis
Consider the following time series data.                 Week       1         2          3         4         5        6         7      8      9     10    11   12   13   14                  Value       21      23        20       18       19      23      15     19    21    23   22   24   23   25 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 15. c. Use α=0.3 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 15.

 d. Compare the three-week moving average forecast with the exponential smoothing forecast using α=0.3. Which appears to provide the better forecast based on MSE?