a$.$ Given the following monthly labor figures, make a forecast for June using a three$-$period moving average and a five$-$period moving average. $($Round answers to $2$ decimal places, e$.$g$.$

$15\mathrm{.}25.)$

Month Actual Values

January

$33$

February

March

April

May

$41$

$43$

$44$

$43$

$3-$Period Moving Average

$5-$Period Moving Average

b$.$ What would be the forecast for June using the na$$ve method?

Forecast for June

c$.$ If the actual labor figure for June turns out to be $42,$ what would be the forecast for July using each of these models? $($Round answers to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

$3-$Period Moving Average

$5-$Period Moving Average

Na$$ve method

d$.$ Compare the accuracy of these models using the mean absolute deviation $($MAD$).($Round answers to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

MAD $(3-$period$)$

MAD $(5-$period$)$

MAD $($na$$ve$)$

e$.$ Compare the accuracy of these models using the mean squared error $($MSE$).($Round answers to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

MSE $(3-$period$)$

MSE $(5-$period$)$

MSE $($na$$ve$)$