Month Demand Forecast $1$ Forecast $2$

$1770771769$

$2789785787$

$3794790792$

$4780784798$

$5768770774$

$6772768770$

$7760761759$

$8775771775$

$9786784788$

$10790788788$

a$.$ Calculate the MSE, MAD, and MAPE for each forecast. $($Round the MAPE answers to $2$ decimal places and other answers to $1$ decimal place.$)$

MAD

MSE

MAPE $\%\%$

b$-1.$ Do all three measures of forecast errors provide the same conclusion $($i$.$e$.,$ are they consistent$)$ in this case?

b$-2.$ Do you expect consistent results in every case?

will have a lower MAD and MAPE than $.$

c$.$ Calculate $2$S control limits for each forecast and determine if each forecasting process is in control. $($Round the final answers to $2$ decimal places.$)$

F$10\backslash$pm

F$20\backslash$pm