PA $15-6($Static$)$ La Villa is a ski resort in the Italian...

La Villa is a ski resort in the Italian Alps. Many guests visit the town; however, most of them come in the winter season because of the phenomenal skiing. A group of hotels has analyzed their demand for the last three years. Fill in the table below. Using a smoothing parameter of $0\mathrm{.}25$ and an initial forecast of $17,000,$ forecast demand for the first four quarters in $2021.$

Note: Round Seasonal Index to $\backslash (\backslash$mathbf$\{3\}\backslash )$ decimal places and all the other answers to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Year & Quarter & Demand & Quarter & Season Average & Seasonal Index & Deaseasonalized Demand & Smoothed Demand & Forecast & Re$-$seasonalized Forecast $\backslash \backslash$

$\backslash$hline $\backslash$multirow$\{4\}\{*\}\{2018\}$ & $1$ & $22,100$ & $1$ & $21,866\mathrm{.}87$ & $1\mathrm{.}250$ & $17,720\mathrm{.}00$ & & $2021$Q$1$ & $21,202\mathrm{.}00\backslash \backslash$

$\backslash$hline & $2$ & $14,900$ & $2$ & $14,666\mathrm{.}67$ & $0\mathrm{.}840$ & $17,812\mathrm{.}00$ & & $2021$Q$2$ & $15,287\mathrm{.}00\backslash \backslash$

$\backslash$hline & $3$ & $13,700$ & $3$ & $14,466\mathrm{.}67$ & $0\mathrm{.}830$ & $16,604\mathrm{.}00$ & & $2021$Q$3$ & $14,382\mathrm{.}00\backslash \backslash$

$\backslash$hline & $4$ & $19,000$ & $4$ & $19,133\mathrm{.}33$ & $1\mathrm{.}090$ & $17,411\mathrm{.}00$ & & $2021$Q$4$ & $18,004\mathrm{.}00\backslash \backslash$

$\backslash$hline $\backslash$multirow$\{4\}\{*\}\{2019\}$ & $1$ & $20,100$ & Overall & $17,533\mathrm{.}33$ & & $16,117\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline & $2$ & $17,000$ & & & & $20,323\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline & $3$ & $16,500$ & & & & $19,998\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline & $4$ & $18,700$ & & & & $17,136\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline $\backslash$multirow$\{4\}\{*\}\{2020\}$ & $1$ & $23,400$ & & & & $18,763\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline & $2$ & $12,100$ & & & & $14,465\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline & $3$ & $13,200$ & & & & $15,998\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline & $4$ & $19,700$ & & & & $18,053\mathrm{.}00$ & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$