Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table:

$\backslash$table$[[$Year$,1,2,3,4,5,6,7,8,9,10,11],[$Registrations $(000),4\mathrm{.}0,6\mathrm{.}0,4\mathrm{.}0,5\mathrm{.}0,10\mathrm{.}0,8\mathrm{.}0,7\mathrm{.}0,9\mathrm{.}0,12\mathrm{.}0,14\mathrm{.}0,15\mathrm{.}0]]$

This exercise contains only parts a and b$.$

a$)$ Using a $3-$year moving average, the forecasted registrations $($in thousands$)$ for years $4$ through $12$ are $($round your responses to one decimal place$)$:

$\backslash$table$[[$Year$,4,5,6,7,8,9,10,11,12,],[$Forecast$,,,,,-,,,,,]]$