$21.$Please conduct an analysis of sales of the all new, bituminous coal and electric hybrid automobile, engineering code named $$The Catastrophe$,$ using exponential smoothing of available dataset below.

Calculate Forecast for each value of alpha

Provide a combined graph of A$($t$)$ and forecasts

Month

t Demand

A$($t$)$ Forecast f$($t$)$

$\backslash$alpha $=0\mathrm{.}25\backslash$alpha $=0\mathrm{.}5\backslash$alpha $=0\mathrm{.}75\backslash$alpha $=0\mathrm{.}95$

$18$

$24$

$315$

$430$

$550$

$675$

$7100$

$860$

$9125$

$10168$

$11135$

$12165$

$13160$

$14275$

$15190$

$16210$

$17275$

$18300$