Problem I $-1\mathrm{.}5$P

The Intrepid mutual fund of growth stocks has had the following average monthly price for the past $10$ months

$\backslash$table$[[$Month$,$Fund Price$],[1,62\mathrm{.}7],[2,63\mathrm{.}9],[3,68\mathrm{.}0],[4,66\mathrm{.}4],[5,67\mathrm{.}2],[6,65\mathrm{.}8],[7,68\mathrm{.}2],[8,69\mathrm{.}3],[9,67\mathrm{.}2],[10,70\mathrm{.}1]]$

a$.$ Develop a $3-$period moving average from month $4$ through $11.$

b$.$ Develop a three$-$period weighted moving average forecast for months $4$ through $11.$ Use weights of $0\mathrm{.}4,0\mathrm{.}35,$ and $0\mathrm{.}3,$ with the most recent observation weighted the highest.

c$.$ Develop two exponential smoothing forecasts for months $2$ through $11.$ For the first forecast, use $a=0\mathrm{.}2.$ For the second, use $a=0\mathrm{.}7.$

d$.$ Calculate the MAD for each forecasting method. Which method is the most precise one?