For the Seasonally$-$adjusted data for the Total Type of Building $($Series ID: A$422173$X$)$ available in Table $30$: Value of building approved $-$ New South Wales: Forecast the out$-$ofsample values for every month in the period February $2023$ January $2024($both months inclusive$)$ using only one appropriate exponential smoothing model $($either simple exponential smoothing or Holt exponential smoothing models that you think is most appropriate given the data$).$ Your starting value for any parameters should be $0\mathrm{.}5.$ 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 $2024.$