Weekly tires demand is as follows:

d$1=9,$ d$2=0$

Week Demand

$1125+$d$1*$d$2$

$2152+$d$1+$d$2$

$3196+$d$1$

$4264+$d$2$

$5193$

$6110$

$7163$

$8$ d$1*2+$d$2+100$

$9247$

$10200+$d$1*$d$2$

$11175$

$12130$

$1.$ First use $2-$period moving average model to forecast weeks $3$ through $12$ and evaluates the results by using MAD, MFE, and MAPE.

$2.$ Estimate demand for the next four weeks $($week $13>)$ using a five$-$week moving average, as well as simple exponential smoothing with $\backslash$alpha $=0\mathrm{.}8$ and $\backslash$alpha $=0\mathrm{.}2.$ Explain the impact of alpha.

$3.$ Evaluate the results of the exponential smoothing with $\backslash$alpha $=0\mathrm{.}8$ and $\backslash$alpha $=0\mathrm{.}2.$

$4.$ Estimate demand for the next four weeks $($week $13>)$ using a linear regression model.

$5.$ Develop a regression model with seasonal adjustments for weeks $8$ through $12.$ Compare with the results of Question $4.$