Your manager is trying to determine what forecasting method to use. Based on the following historical data, calculate the following a$.$ Calculate the simple three$-$month moving average forecast for periods $4$ to $12.$

Note: Round your answers to $3$ decimal places. b$.$ Calculate the weighted three$-$month moving average for the periods $4$ to $12$ using weights of $0\mathrm{.}50($for the period $t-1)$; $0\mathrm{.}30($for the

period $t-2)$ and $0\mathrm{.}20($for the period $t-3).$

Note: Round your answers to $1$ decimal place. c$.$ Calculate the single exponential smoothing forecast for periods $2$ to $12$ using an initial forecast $(F_1)$ of $61$ and an $$ of $0\mathrm{.}30.$

Note: Round your answers to $3$ decimal places.d$.$ Calculate the exponential smoothing with trend component forecast for periods $2$ to $12$ using an initial trend forecast $(T_1)$ of $1\mathrm{.}8,$ an

initial exponential smoothing forecast $(F_1)$ of $60,$ an $$ of $0\mathrm{.}30,$ and a $\frac{?}{\text{b}\text{a}\text{r}}()$ of $0\mathrm{.}30.$

Note: Round your answers to $3$ decimal places.

forecast and specify what procedure you would utilize.

a$.$ Calculate the simple three$-$month moving average forecast for periods $4$ to $12.$

Note: Round your an Your manager is trying to determine what forecasting method to use. Based on the following historical data, calculate the following

forecast and specify what procedure you would utilize.

a$.$ Calculate the simple three$-$month moving average forecast for periods $4$ to $12.$

Note: Round your answers to $3$ decimal places.

b$.$ Calculate the weighted three$-$month moving average for the periods $4$ to $12$ using weights of $0\mathrm{.}50($for the period $t-1)$; $0\mathrm{.}30($for the

period $t-2)$ and $0\mathrm{.}20($for the period $t-3)$

Note: Round your answers to $1$ decimal place

c$.$ Calculate the single exponential smoothing forecast for periods $2$ to $12$ using an initial forecast $(F_1)$ of $61$ and an $$ of $0\mathrm{.}30.$

Note: Round your answers to $3$ decimal places

d$.$ Calculate the exponential smoothing with trend component forecast for periods $2$ to $12$ using an initial trend forecast $(T_1)$ of $1\mathrm{.}8,$ an

initial exponential smoothing forecast $(F_1)$ of $60,$ an $$ of $0\mathrm{.}30,$ and a $\frac{?}{\text{b}\text{a}\text{r}}()$ of $0\mathrm{.}30$

Note: Round your answers to $3$ decimal places.

e$-1.$ Calculate the mean absolute deviation $($MAD$)$ for the forecasts made by each technique in periods $4$ to $12.$

Note: Round your answers to $3$ decimal places.

e$-2.$ Which forecasting method is best?

Single exponential smoothing forecast

Three$-$month weighted moving average

Exponential smoothing with trend forecast

Three$-$month moving averageswers to $3$ decimal places.