Data colected on the yearly registrafions for a Six Sigma seminar at the Quasily College are shown in the followiog table: \begin{tabular}{lccccccccccc|} \hline Year & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\ \hline Regietrations (000) & 3.0 & 6.0 & 5.0 & 6.0 & 9.0 & 9.0 & 7.0 & 10.0 & 12.0 & 14.0 & 12.0 \\ \hline \end{tabular} This exereise contains an'y parts a and b. a) Using a 3year moving average, the forecasted registrations (in thousands) for years 4 through 12 are (round your reaponses to one decimal place): \begin{tabular}{lllllllllll} \hline Year & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline Forecast & & & & & & & & & \\ \hline \end{tabular} 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 fo one decimal place)