Consider the following time series data.

Year

Value

$1$

$234$

$2$

$287$

$3$

$255$

$4$

$310$

$5$

$298$

$6$

$250$

$7$

$302$

$8$

$267$

$9$

$225$

$10$

$336$

Use $\backslash$alpha $=0\mathrm{.}2$ to compute the exponential smoothing values for the time series. Forecast for year $11.$

$$

$331\mathrm{.}36$

$276\mathrm{.}98$

$345\mathrm{.}12$

$225\mathrm{.}34$