Q $1$

A product has a consistent year round demand. You are the planner and have been tasked with experimenting with some time series analysis. Using this previous weekly demand, calculate the following forecasts for each period possible. A$)4$ Period Simple moving average B$)3$ Period Weighted moving average using weights of $\mathrm{.}7,\mathrm{.}2,\mathrm{.}1,$ C$)$ four period weighted moving average with weights of $\mathrm{.}4,\mathrm{.}3,\mathrm{.}2,\mathrm{.}1$ and D$)$ Exponential Smoothing forecast using an Alpha of $\mathrm{.}25.$ and a Week $1$ forecast of $1900$ units. Round all forecasts to whole numbers.

$\backslash$table$[[$Week$,$Demand,SMA,WMA,WMA,EXP Sm $\mathrm{.}25],[1,1850,4$ Period,$\mathrm{.}7,\mathrm{.}2,\mathrm{.}1,\mathrm{.}4,\mathrm{.}3,\mathrm{.}2,\mathrm{.}1,1900],[2,1760,,,,],[3,1832,,,,],[4,1895,,,,],[5,1906,,,,],[6,1852,,,,],[7,1786,,,,],[8,1790,,,,],[9,1809,,,,],[10,1925,,,,],[11,1948,,,,],[12,1960,,,,],[,,,,,],[,,,,,]]$

Q$2$ For each of the forecasts and demand below, calculate the Mean Absolute Deviation, Mean Squared Error and Mean Absolute Percent Error.

Use the ABS formula for Absolute Value. NOTE: Use formulas for each calculation.

Use one decimal place for each calculation.

$\backslash$table$[[,,,,$Absolute,MAD,MSE,MAPE$],[$Week$,$Demand,Forecast,Error $($e$),$Error,,$e^{{?}^{{?}^{?}}}2,$Abs e$/$A$],[1,650,600,,,,,],[2,689,650,,,,,],[3,705,700,,,,,],[4,648,700,,,,,],[5,638,650,,,,,],[6,710,680,,,,,],[$ANSWER$,,,,,,,]]$