ltraPure used two different techniques $($F$1$ and F$2)$ to forecast demand for cases of bottled water.

Actual demand and the two sets of forecasts are in the table below.

PREDICTED DEMAND

Period Demand F$1$ F$2$

$1686562$

$2756565$

$3707470$

$4746971$

$5697276$

$6726874$

$7807375$

$8787582$

a$.$ Compute MAD for each set of forecasts. Given your results, which forecast appears to be more accurate? $($Round your answers to $2$ decimal places.$)$

b$.$ Compute the MSE for each set of forecasts. Given your results, which forecast appears to be more accurate? $($Round your answers to $2$ decimal places.$)$

c$.$ Compute MAPE for each data set. Which forecast appears to be more accurate? $($Round your intermediate calculations to $2$ decimal places and and final answers to $2$ decimal places.$)$