Management would like you to experiment with some forecasting models to determine what should be used in a new system to be implemented. The new system is programmed to use one of two forecasting models: simple moving average or exponential smoothing.

WEEK $5432112345678910111213$

Atlanta $433333573534453534543321564535265640$

Boston $622345483238314042444752256840374152$

Chicago $502571354243342748456664322688354446$

Dallas $322535544429323738445565604538363842$

LA $354046363835424546466543353940465050$

Total $222146230230191179184184208233266245208223241180229230$

a$.$ Consider using a simple moving average model. Experiment with models using five weeks$$ and three weeks$$ past data. $($Round your answers to $2$ decimal places.$)$

$3-$week MA

$5-$week MA

b$.$ Evaluate the forecasts that would have been made over the $13$ weeks using the overall $($at the end of the $13$ weeks$)$ mean absolute deviation, mean absolute percent error, and tracking signal as criteria. $($Negative values should be indicated by a minus sign. Round all answers to $2$ decimal places. Enter "MAPE" answers as a percentage rounded to $2$ decimal places.$)$