Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table Year Registrations (000) 1 40 Year Forecast 4 2 3 4.0 60 4 5 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) 7 10 12 6 5 4 5 6 5.0 10.0 8.0 6 8 7 9 8 7 7.0 b) Using a 3-year weighted moving average in which the registrations in the most recent year are given a weight of 2, and registrations in the other 2 years are each given a weight of 1, the forecasted registrations (in thousands) for years 4 through 12 are (round your responses to one decimal place) Year Forecast 9 8 90 9 12.0 10 11 10 14.0 11 11 15.0 12

\begin{tabular}{lccccccccccc} \hline Year & 1 & 2 & 3 & 4 & 5 & 0 & 7 & 0 & 2 & 10 & 11 \\ \hline Regiatrations (000) & 10 & 60 & 40 & 50 & 100 & 10 & 70 & 00 & 120 & 140 & 150 \end{tabular} This exencase contains onty paits a and B. \begin{tabular}{lllllllllll} \hline Yeat & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline Forecast & 1 & & 0 & {[} & {[} & & 1 & & \\ \hline \end{tabular}