Two independent methods $of$ forecasting based $on$ judgment and experience have been prepared each month for the past $10$ months. The forecasts and actual sales are $as$ follows:

Month Sales Forecast $1$ Forecast $2$

$1835840820$

$2835820795$

$3820835835$

$4825795855$

$5780775790$

$6825775796$

$7800775775$

$8840780820$

$9790820815$

$10800830815$

$a.$ Compute the MSE and MAD for each forecast. $(Round$ your answers $to2$ decimal places.$)$

MSE MAD

Forecast $1$

Forecast $2$

$22\mathrm{.}40$

$b.$ Compute MAPE for each forecast. $(Round$ your intermediate calculations $to5$ decimal places and final answers $to4$ decimal places.$)$

MAPE $F1$

$\%$

MAPE $F2$

$2\mathrm{.}7395$

$\%$

$c.$ Prepare a naive forecast for periods $2$ through $11$ using the given sales data. Compute each $of$ the following; $(1)$ MSE, $(2)$ MAD, $(3)$ tracking signal $at$ month $10,$ and $(4)2s$ control $limits.(Round$ your answers $to2$ decimal places.$)$

MSE

MAD

Tracking signal

Control $limits0$