Smoothing Constant Alpha $=0\mathrm{.}2$ for Week $4,$ given that the Forecast in Week $1=1100?$

Week $1=1000$

Week $2=1200$

Week $3=1400$

Week $4=$ Predict using the Exponential Smoothing Forecast $($Smoothing Constant Alpha $=0\mathrm{.}2)$

Exponential Smoothing

$F_{t+1}=D_t+(1-)F_t$

where:

$F_{i+1}=$ forecast for time period $t+1($i$.$e$.,$ the new forecast$)$

$F_r=$ forecast for time period $t($i$.$e$.,$ the carrent forecast$)$

$D_i=$ actual value for time period $t$

$=$ smoothing constant used to weight $D_r$ and $)(1$

$1520\mathrm{.}8$

$1163\mathrm{.}2$

$1600\mathrm{.}0$

$1500\mathrm{.}0$

$1680\mathrm{.}0$