A Manager uses moving average and exponential smoothing forecasting method to make the forecast of the sales during last three months. The information is below:

$\backslash$table$[[$Month$,$Actual Sales,Eorecast Using Moving Average Method,Eorecast Using Regression Method$],[1,20,22,25],[2,25,30,28],[3,32,28,24],[4,40,42,43]]$

$($a$)$ Calculate the Mean Absolute Deviation $($MAD$)$ using Moving Average Method and Regression Method. $(2$ Points$)($b$)$ Calculate the Mean Squared Error $($MSE$)$ using Moving Average Method and Regression Method. $(2$ Points$)$

$($c$)$ Calculate the Mean Absolute Percent Emor$($MAPE$)$ using Moving Average Method and Regression Method. $(2$ Points$)$

$($d$)$ Based on your answer in Part $($a$),($b$),$ and $($c$),$ which forecasting method $($Moving Average Method and Regression Method$)$ should use in this problem? And please explain your reason. $(2$ Points$)$