PLEASE ANSWER B AND SHOW WORK

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)	4.0	6.0	4.0	5.0	10.0	8.0	7.0	9.0	12.0	14.0	15.0

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):

Year	4	5	6	7	8	9	10	11	12
Forecast	4.74.7	55	6.36.3	7.77.7	8.38.3	88	9.39.3	11.611.6	13.713.7

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	4	5	6	7	8	9	10	11	12
Forecast	nothing	nothing	nothing	nothing	nothing	nothing	nothing	nothing	nothing