a$)$ Based on the table below, develop a two$-$period weighted moving average forecast with a weight of $0\mathrm{.}65$ for the most recent day and $0\mathrm{.}35$ for the next most recent day for each appropriate period until period $13.$ Show work. $(5$ pts$)$

b$)$ Based on the table below, develop a four$-$period moving average forecast for each appropriate period until period $13.$ Show work. $(5$ pts$)$

c$)$ Based on the table below, develop an exponential smoothing forecast with a smoothing coefficient of $0\mathrm{.}26$ and a starting forecast value at period $2$ of $168($i$.$e$.,=168).$ Create the forecast for each

appropriate period until period $13.$ Show work. $(5$ pts$)$

d$)$ For each forecast $($two$-$period weighted moving average, $4-$period moving average, and exponential smoothing$),$ calculate the mean squared error. Show work. $(10$ pts$)$

$2-$period WMA MSE $=2252\mathrm{.}2$

$4-$period MA MSE $=3428\mathrm{.}7$

Exp. Smoothing MSE $=3211\mathrm{.}4$

e$)$ For each forecast $($two$-$period weighted moving average, $4-$period moving average, and exponential smoothing$),$ calculate the MAD. $(10$ pts$)$

$2-$period WMA MAD $=38\mathrm{.}84-$period MA MAD $=48\mathrm{.}4$ Exp. Smoothing MAD $=43\mathrm{.}3$