A small company gathered sales data over the last $7$ months as follows:

Month Sales

January $252$

February $204$

March $228$

April $216$

May $249$

June $264$

July $267$

August

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Do not round answers.

a$)$ What is the $3-$month moving average forecast for August?

Correct

b$)$ What is the $2-$month weighted moving average forecast for April using weights $3$ and $2?$ Assign higher weight to the most recent period.

Correct

c$)$ Given that the exponentially smoothed forecast for February is $252,$ what is the simple exponential smoothing forecast for April with

$\backslash$alpha

$=$

$0\mathrm{.}3$

$?$