Year Qtr t revenue ($M) 2011 1 1 5.889 2 2 6.141 3 3 8.272 4 4 9.302 2012 1 5 6.436 2 6 6.932 3 7 8.987 4 8 10.602 2013 1 9 7.517 2 10 7.731 3 11 9.883 4 12 12.098 2014 1 13 8.487 2 14 8.685 3 15 11.559 4 16 15.221 2015 1 17 11.132 2 18 11.203 3 19 13.83 4 20 16.979 2016 1 21 12.312 2 22 13.452 3 23 17.659 4 24 21.655 2017 1 25 17.197 2 26 19.05 3 27 22.499 4 28 25.629 Which is the most accurate method of the decomposition methods used for the following data...

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Year Qtr t revenue ($M)
2011 1 1 5.889
2 2 6.141
3 3 8.272
4 4 9.302
2012 1 5 6.436
2 6 6.932
3 7 8.987
4 8 10.602
2013 1 9 7.517
2 10 7.731
3 11 9.883
4 12 12.098
2014 1 13 8.487
2 14 8.685
3 15 11.559
4 16 15.221
2015 1 17 11.132
2 18 11.203
3 19 13.83
4 20 16.979
2016 1 21 12.312
2 22 13.452
3 23 17.659
4 24 21.655
2017 1 25 17.197
2 26 19.05
3 27 22.499
4 28 25.629
Which is the most accurate method of the decompositionmethods used for the following data set.
Additive with seasonal only, Additive with trend plus seasonal ,Multiplicative with seasonal only ,Multiplicative with trend plusseasonal

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4.1 Ratings (776 Votes)

A given data is said to be seasonal only if the values change according to the season but do not vary with time In other words for a given data set the values can change within the year but they shouldnt change from year to year A given data is said to be trend plus seasonal if the values change according to the season and also show a trend with time In other words for a See Answer

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Year	Qtr	t	revenue ($M)
2011	1	1	5.889
	2	2	6.141
	3	3	8.272
	4	4	9.302
2012	1	5	6.436
	2	6	6.932
	3	7	8.987
	4	8	10.602
2013	1	9	7.517
	2	10	7.731
	3	11	9.883
	4	12	12.098
2014	1	13	8.487
	2	14	8.685
	3	15	11.559
	4	16	15.221
2015	1	17	11.132
	2	18	11.203
	3	19	13.83
	4	20	16.979
2016	1	21	12.312
	2	22	13.452
	3	23	17.659
	4	24	21.655
2017	1	25	17.197
	2	26	19.05
	3	27	22.499
	4	28	25.629