The following table shows the actual demand for new mattresses at a hotel in the last $4$ years:

Year

Actual Demand

$1$

$15$

$2$

$23$

$3$

$25$

$4$

$34$

Using exponential smoothing with $\backslash$alpha $=0\mathrm{.}8$ and an initial forecast of $10,$ provide a forecast for years $2$ through $5$: $$

Year

Actual Demand

Forecast

$1$

$15$

$10$

$2$

$23$

$[$ Select $]$

$3$

$25$

$[$ Select $]$

$4$

$34$

$[$ Select $]$

$5$

$--$

$[$ Select $]$