$6.$ We would like to evaluate the performance of Moving Average $(3)$ and

Exponential Smoothing $($alpha$=0\mathrm{.}6)$ for the following weekly demand data:

Week Demand MA$(3)$ Exponential

Smoothing

with alpha

$=0\mathrm{.}6$

$1200$

$2250$

$200$

$3175$

$230$

$4186208\mathrm{.}3$

$197$

$5225203\mathrm{.}7$

$190\mathrm{.}4$

$6285195\mathrm{.}3$

$211\mathrm{.}16$

$7305232$

$255\mathrm{.}464$

$8190271\mathrm{.}7$

$285\mathrm{.}186$

$9$

$?$

Blank columns are provided for your convenience.

a$)$ Develop forecast for Week $9$ using MA$(3)$

b$)$ Develop forecast for Week $9$ using Exponential Smoothing $($alpha$=\mathrm{.}6)$

c$)$ Which forecasting method is better? Explain why.