Question content area left

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$(000)$

$4$

$6$

$4$

$5$

$10$

$8$

$7$

$9$

$12$

$14$

$15$

This exercise contains only part c$.$

Part $2$

$$c$)$ The graph to the right shows the actual$$ registrations, registrations forecasted using a$3-$year moving$$ average, and registrations forecasted using a$3-$year weighted moving average. Which method seems to be able to forecast$$ better? $($Refer to the legend or hover your mouse over any$$ plot.$)$

A$.$

A$3-$year moving average is significantly better.

B$.$

A$3-$year weighted moving average is significantly better.

C$.$

The forecasts are about the same.

$.$

$.$

$.$

Question content area right

Part $1$

$0$

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

$0$

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

$13$

$14$

$15$

$16$

$17$

$18$

Year

Demand

A graph with year on the x$-$axis from $0$ to $12$ in $1-$year increments and demand on the y$-$axis from $0$ to $18$ in $1-$unit increments. There is a blue line labeled actual registrations with the following coordinates: $(1,4),(2,6),(3,4),(4,5),(5,10),(6,8),(7,7),(8,9),(9,12),(10,14),(11,15),(12,1\mathrm{.}75).$ There is a red line labeled $3-$year moving average with the following coordinates: $(4,4\mathrm{.}7),(5,5\mathrm{.}0),(6,6\mathrm{.}3),(7,7\mathrm{.}7),(8,8\mathrm{.}3),(9,8\mathrm{.}0),(10,9\mathrm{.}3),(11,11\mathrm{.}7),(12,13\mathrm{.}7).$ There is a pink line labeled $3-$year weighted moving average with the following coordinates: $(4,4\mathrm{.}5),(5,5\mathrm{.}0),(6,7\mathrm{.}3),(7,7\mathrm{.}8),(8,8\mathrm{.}0),(9,8\mathrm{.}3),(10,10\mathrm{.}0),(11,12\mathrm{.}3),(12,14\mathrm{.}0).$

$$Blue Line $=$ Actual Registrations

$$Red Line $=3-$year Moving Average

$$Pink Line $=3-$year Weighted Moving Average