$1.$ Using the following methods forecast for all possible periods. Provide the report with appropriate interpretations for each forecast and show the graph of actual and forecast $(5$ points$)$

a$.$ Moving average $($n$=3)(1$ point$)$

b$.$ Exponential Smoothing $($alpha $=0\mathrm{.}6)(1$ point$)$

c$.$ Linear trend $($trend projection$)(1$ point$)$

d$.$ Linear regression $(2$ points$)$