$($b$)$ Develop a three$-$week moving average for this time series. Compute MSE and a forecast for week $7.$

Do not round intermediate calculations. If required, round your answers to two decimal places.

$\backslash$table$[[$Week Value,Forecast,$],[1,16,],[2,14,],[3,15,],[4,12,],[5,16,],[6,13,]]$

MSE

The forecast for week $7$ :

$($c$)$ Use $a=0\mathrm{.}2$ to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week $7.$

Do not round intermediate calculations. If required, round your answers to two decimal places.

$\backslash$table$[[$Week$,$Value,Forecast$],[1,16,],[2,14,],[3,15,],[4,12,],[5,16,],[6,13,]]$

MSE:

The forecast for week $7$ :

$($d$)$ Compare the three$-$week moving average forecast with the exponential smoothing forecast using $=0\mathrm{.}2.$ Which appears to provide the better forecast based on MSE?

Select your answer $-$

Explain.

Using this approach results in a

ASE. alpha: