The owner of one pastry shop wants to determine the forecast for December so that she can prepare. The following table shows the data she gathered according to her historical data.

$\backslash$table$[[$Month$,$Actual$],[$April$,220],[$May$,260],[$June$,240],[$July$,270],[$August$,285],[$September$,220],[$October$,310],[$November$,300]]$

Use the following forecasting methods:

a$.$ Exponential Smoothing with $=0\mathrm{.}3(5$ points$)$

b$.$ Exponential Smoothing with $=0\mathrm{.}2$ and $=0\mathrm{.}5$ assuming that the forecast for July is $210$ with trend of $2\mathrm{.}50(10$ points$)$

c$.$ Develop the linear regression model for the values. $(5$ points$)$