Two different forecasting techniques $($F$1$ and F$2)$ were used to forecast demand for cases of bottled water. Actual demand and the two sets of forecasts are as follows: PREDICTED DEMAND Period Demand F$1$ F$216864632756860370757047465675697376672707478074758787585$ a$.$ Compute MAD for each set of forecasts. Given your results, which forecast appears to be more accurate? $($Round your answers to $2$ decimal place.$)$ MAD F$15$ MAD F$26($Click to select$)$ F$2$ F$1$ None appears to be more accurate. 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.$)$ MSE F$1$ MSE F$2($Click to select$)$ F$2$ F$1$ None appears to be more accurate. c$.$ In practice, either MAD or MSE would be employed to compute forecast errors. What factors might lead a manager to choose one rather than the other? Either one might already be in use, familiar to users, and have past values for comparison. If $($Click to select$)$ tracking signals control charts are used, MSE would be natural; if $($Click to select$)$ tracking signals control charts are used, MAD would be more natural. d$.$ 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.$)$ MAPE F$16\mathrm{.}81$ MAPE F$28\mathrm{.}12($Click to select$)$ F$2$ F$1$ None appears to be more accurate.