Question

year	quarter	period		EMPLOYED INDIVIDUALS (2016-2019)
1	1	1		4169189.0
1	2	2		4262978.0
1	3	3		4306669.0
1	4	4		4310845.0
2	1	5		4338992.0
2	2	6		4387124.0
2	3	7		4372602.0
2	4	8		4431912.0
3	1	9		4495638.0
3	2	10		4520797.0
3	3	11		4558422.0
3	4	12		4582166.0
4	1	13		4648638.0
4	2	14		4657061.0
4	3	15		4631183.0
4	4	16		4715879.0
				Number of       people

With these time series:

Using time series decomposition, present a seasonally adjusted series for your assigned data (assume the multiplicative model).

Answer 1

				Centered
				Moving	Ratio to	Seasonal	Data
t	Year	Quarter	Data	Average	CMA	Indexes	Deseasonalized
1	1	1	4169189			1.002	41,59,833.1
2	1	2	4262978			1.002	42,56,048.2
3	1	3	4306669	4283646	1.005	0.999	43,11,405.0
4	1	4	4310845	4320389	0.998	0.997	43,22,857.5
5	2	1	4338992	4344149	0.999	1.002	43,29,255.1
6	2	2	4387124	4367524	1.004	1.002	43,79,992.4
7	2	3	4372602	4402238	0.993	0.999	43,77,410.5
8	2	4	4431912	4438528	0.999	0.997	44,44,261.9
9	3	1	4495638	4478465	1.004	1.002	44,85,549.5
10	3	2	4520797	4520474	1.000	1.002	45,13,448.1
11	3	3	4558422	4558381	1.000	0.999	45,63,434.9
12	3	4	4582166	4594539	0.997	0.997	45,94,934.6
13	4	1	4648638	4620667	1.006	1.002	46,38,206.2
14	4	2	4657061	4646476	1.002	1.002	46,49,490.6
15	4	3	4631183			0.999	46,36,275.9
16	4	4	4715879			0.997	47,29,020.2
	Calculation of Seasonal Indexes
	1	2	3	4
1			1.005	0.998
2	0.999	1.004	0.993	0.999
3	1.004	1.000	1.000	0.997
4	1.006	1.002
mean:	1.003	1.002	1.000	0.998	4.003
adjusted:	1.002	1.002	0.999	0.997	4.000

The graph is: