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Part $1$

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

$$

Year

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

Registrations$(000)$

$3\mathrm{.}03\mathrm{.}0$

$7\mathrm{.}07\mathrm{.}0$

$5\mathrm{.}05\mathrm{.}0$

$6\mathrm{.}06\mathrm{.}0$

$10\mathrm{.}010\mathrm{.}0$

$8\mathrm{.}08\mathrm{.}0$

$6\mathrm{.}06\mathrm{.}0$

$9\mathrm{.}09\mathrm{.}0$

$13\mathrm{.}013\mathrm{.}0$

$16\mathrm{.}016\mathrm{.}0$

$15\mathrm{.}015\mathrm{.}0$

This exercise contains only parts a and b$.$

Part $2$

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

Year

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Forecast

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