Once you identify and develop an appropriate exponential smoothing model with the starting

values for parameter$($s$)=0\mathrm{.}5,$ what are the following numerical values:

$1.$ The within$-$sample forecast for July $2022.$

$2.$ The out$-$of$-$sample forecast for May $2023.$

$3.$ The out$-$of$-$sample forecast for January $2024.$

$4.$ The MAPE.

$5.$ The MAE.

Critically think for a way to optimise alpha and beta $($if there is no beta, you can input $0$ for

question $7)$ via the MSE, and report the following values after your optimisation:

$6.$ Alpha.

$7.$ Beta.

$8.$ The MAPE.

$9.$ The within$-$sample forecast for July $2022.$

$10.$ The out$-$of$-$sample forecast for January $2024.$