Two different forecasting techniques $($Forecast $1$ and Forecast $2)$ were used to forecast demand for cases of bottled water. Actual demand and the two sets of forecasts are as follows. $($Round to $3$ decimal places$).$

Problem $4$: Compute the MSE for Forecast $1.$ Your answer

Problem $5$: Compute the MSE for Forecast $2.$ Your answer

Problems $6-7$ are as follows: $($Round to $3$ decimal places$)$

The table below shows $5$ months of demand for ABC company.

Problem $6$: Forecast of May demand with MA$(2)$: Your answer

Problem $7$: Forecast of July demand with MA$(4)$: Your answer