Problem $3$: The following table shows forecasts for a set of periods using two different methods. Find MAD and MAPE for both methods. Which method has performed better?

Week Actual Demand MA$-3$ Forecast ES$(0\mathrm{.}15)$ Forecast

$12217\mathrm{.}6715\mathrm{.}76$

$23420\mathrm{.}3316\mathrm{.}70$

$31228\mathrm{.}6719\mathrm{.}30$

$41922\mathrm{.}6718\mathrm{.}21$

$52321\mathrm{.}6718\mathrm{.}33$

$6181819\mathrm{.}03$