The U$.$S$.$ monthly inflation rate for $2016$ is shown below: $[[$MONTH$,$INFLATION,,MONTH,INFLATION$],[$January$,1\mathrm{.}4,,$July,$0\mathrm{.}8],[$February$,1\mathrm{.}0,,$August,$1\mathrm{.}1],[$March$,0\mathrm{.}9,,$September,$1\mathrm{.}5],[$April$,1\mathrm{.}1,,$October,$1\mathrm{.}6],[$May$,1\mathrm{.}0,,$November,$1\mathrm{.}7],[$June$,1\mathrm{.}0,,$December,$2\mathrm{.}1]]$ a$.$ Compute the inflation rate for January $2017$ using the exponential smoothing forecast with $\backslash$alpha $=0\mathrm{.}2$ and $0\mathrm{.}9.$ Assume that the forecast for February $2016$ is $1\mathrm{.}4.$ b$.$ What is the MAD for each of the forecasts generated using the exponential smoothing method? Which method is better?