$"2)(35$ points$)-$ build a model

Sales of tablet computers at Ted Glickman$$s electronics store in Washington, D$.$C$.,$ over the past $12$ weeks are shown in the table.

a$)(15$ pts$)$ Select any $3$ values for a to Forecast the demand for each week, including week $13,$ using exponential Smoothing and determine which of the $3$ a is the best alpha based on MAD

b$)(8$ pts$)$ Using the best alpha found in a$)$ and an initial trend of $2$ and b$=0\mathrm{.}4,$ forecast the demand for each week, including week $13,$ using the trend$-$adjusted exponential smoothing method.

c$)(8$ pts$)$ is it appropritate to use a line to forecast for week $13?$ Show all your work $($calculations$,$ graphs, etc.$)$ and fully justify your answer.

d$)(4$ pts$)$ assuming that using a line is appropriate, use the linear regression line found in c$)$ to determine the forecast for week $13.$

Be organized in your calculations.

Use appropriate Labels."

Values

week $1=18$

week $2=23$

week $3=25$

week $4=31$

week $5=25$

week $6=32$

week $7=36$

week $8=28$

week $9=33$

week $10=35$

week $11=38$

week $12=41$

The Initial Forecast is $20$