1. Calculate the three-month moving averages from the following data:

Jan.	Feb.	March	April	May	June
57	65	63	72	69	78
July	Aug.	Sept.	Oct	Nov.	Dec.
82	81	90	92	95	97
[Osmania Univ., BCom, 1996]

2. The following data provide a time series of the number of Commercial and Industrial units failures during the period 1989 2004.

Year	No. of Failures	Year	No. of Failures
1989	23	1997	9
1990	26	1998	13
1991	28	1999	11
1992	32	2000	14
1993	20	2001	12
1994	12	2002	9
1995	12	2003	3
1996	10	2004	1

Calculate a 5-year and 7-year moving average for the number of units failure.

3. In January, a city hotel predicted a February demand for 142 room occupancy. Actual February demand was 153 rooms. Using a smoothing constant of a = 0.20, forecast the March demand using the exponential smoothing model.