Question

consider the following time series data

Week 1 2 3 4 5 6
Value 18 13 16 11 17 14
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. use a 5 0.2 to compute the exponential smoothing values for the time series. Compute mSe and a forecast for week 7.
d. Compare the three-week moving average forecast with the exponential smoothing
forecast using a 5 0.2. 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 a 5 0.2.