$\backslash$table$[[$Month Space $(10$oos $f{t}^3),],[1,10\mathrm{.}6],[2,12\mathrm{.}7],[3,9\mathrm{.}8],[4,11\mathrm{.}3],[5,13\mathrm{.}6],[6,14\mathrm{.}4],[7,12\mathrm{.}2],[8,16\mathrm{.}7],[9,18\mathrm{.}1],[10,19\mathrm{.}2],[11,16\mathrm{.}3],[12,14\mathrm{.}7],[13,18\mathrm{.}2],[14,19\mathrm{.}6],[15,21\mathrm{.}4],[16,22\mathrm{.}8],[17,20\mathrm{.}6],[18,18\mathrm{.}7]]$

For $(1)-(4)$ below, compute the forecasted shipping space required using:

Three month moving average for months $4$ through $19.$

$(2$ points$)$

Three month weighted moving average for months $4$ through $19,$ with weights $0\mathrm{.}5$ for the most recent month, $0\mathrm{.}3$ for the next most recent month and $0\mathrm{.}2$ for the distant month.

$(2$ points$)$

Exponential smoothing for months $2$ through $19,$ with $=0\mathrm{.}8.$

$(2$ points$)$

Adjusted exponential smoothing for months $2$ through $19,$ with $=0\mathrm{.}8$ and $=0\mathrm{.}6.$

$(4$ points$)$

Compare the accuracy of the above four forecasting models using MAD $($mean absolute deviation$)$

$(12$ points$)$

Which of the above four forecasting models would you recommend and why?

$(3$ points$)$