$(30$ points$)$ The following data are demand for a particular item. You are planning to use Exponential Smoothing method to make a forecast. You have given $0\mathrm{.}1$ and $0\mathrm{.}2$ as smoothing parameter $($$).$ Which smoothing parameter value would you choose? Please explain the reasons behind your choice. $[$HINT: First use Exponential Smoothing method to make a forecast, and then find that smoothing parameter $($$)$ which will give you minimum MSE value.$]$ Period Demand

$17$

$26$

$38$

$49$

$511$

$612$

$717$

$816$

$922$

$1023$