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R Software Module

rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Fri, 23 Nov 2012 14:58:10 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/23/t1353700721ll35aadpa8o7zko.htm/, Retrieved Wed, 01 May 2024 22:30:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=192284, Retrieved Wed, 01 May 2024 22:30:47 +0000

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-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
- RM D    [Classical Decomposition] [ws8] [2012-11-23 19:58:10] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192284&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192284&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192284&T=0

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	88.1	NA	NA	-8.76247519841271	NA
2	101.7	NA	NA	0.209052579365075	NA
3	114.8	NA	NA	13.841691468254	NA
4	103.4	NA	NA	-5.46664186507937	NA
5	96.4	NA	NA	-4.21803075396826	NA
6	110	NA	NA	8.34516369047619	NA
7	71.1	75.2406994047619	100.391666666667	-25.1509672619048	-4.1406994047619
8	79.4	83.4055803571428	100.8125	-17.4069196428571	-4.00558035714283
9	119.2	118.673635912698	101.091666666667	17.5819692460318	0.526364087301602
10	99.1	111.758358134921	100.7625	10.9958581349206	-12.6583581349206
11	113.2	106.659052579365	100.404166666667	6.25488591269842	6.54094742063494
12	103.6	104.505580357143	100.729166666667	3.77641369047619	-0.905580357142838
13	97.5	92.1250248015873	100.8875	-8.76247519841271	5.37497519841271
14	102.4	101.371552579365	101.1625	0.209052579365075	1.02844742063493
15	120.8	115.141691468254	101.3	13.841691468254	5.65830853174604
16	89.5	96.3208581349206	101.7875	-5.46664186507937	-6.82085813492063
17	101.7	98.0611359126984	102.279166666667	-4.21803075396826	3.6388640873016
18	112.5	110.49099702381	102.145833333333	8.34516369047619	2.00900297619049
19	72.4	76.8448660714286	101.995833333333	-25.1509672619048	-4.44486607142855
20	84.7	84.5180803571428	101.925	-17.4069196428571	0.181919642857167
21	117.2	119.348635912698	101.766666666667	17.5819692460318	-2.1486359126984
22	112.8	112.812524801587	101.816666666667	10.9958581349206	-0.0125248015873041
23	111.3	108.263219246032	102.008333333333	6.25488591269842	3.03678075396826
24	102.3	105.738913690476	101.9625	3.77641369047619	-3.4389136904762
25	95.2	93.316691468254	102.079166666667	-8.76247519841271	1.88330853174602
26	103	102.767385912698	102.558333333333	0.209052579365075	0.23261408730157
27	116.4	116.816691468254	102.975	13.841691468254	-0.416691468253987
28	95.1	97.8125248015873	103.279166666667	-5.46664186507937	-2.71252480158731
29	100.7	99.2819692460318	103.5	-4.21803075396826	1.41803075396824
30	112.4	112.27849702381	103.933333333333	8.34516369047619	0.12150297619047
31	75.3	79.0031994047619	104.154166666667	-25.1509672619048	-3.70319940476189
32	93.3	86.6472470238095	104.054166666667	-17.4069196428571	6.65275297619047
33	118.6	121.719469246032	104.1375	17.5819692460318	-3.11946924603174
34	118.7	115.520858134921	104.525	10.9958581349206	3.17914186507936
35	110.7	111.017385912698	104.7625	6.25488591269842	-0.317385912698413
36	113.3	108.430580357143	104.654166666667	3.77641369047619	4.86941964285714
37	89.5	96.166691468254	104.929166666667	-8.76247519841271	-6.66669146825396
38	106.3	104.788219246032	104.579166666667	0.209052579365075	1.51178075396827
39	115.1	118.158358134921	104.316666666667	13.841691468254	-3.05835813492062
40	105.7	99.4833581349206	104.95	-5.46664186507937	6.21664186507938
41	95.8	100.631969246032	104.85	-4.21803075396826	-4.83196924603173
42	114.7	112.35349702381	104.008333333333	8.34516369047619	2.34650297619048
43	79.6	78.5031994047619	103.654166666667	-25.1509672619048	1.09680059523807
44	80.6	85.8389136904762	103.245833333333	-17.4069196428571	-5.23891369047621
45	125	120.140302579365	102.558333333333	17.5819692460318	4.85969742063493
46	127.5	112.883358134921	101.8875	10.9958581349206	14.6166418650794
47	99.5	107.371552579365	101.116666666667	6.25488591269842	-7.87155257936506
48	104.3	104.27224702381	100.495833333333	3.77641369047619	0.0277529761904844
49	90	91.2750248015873	100.0375	-8.76247519841271	-1.27502480158731
50	96	100.059052579365	99.85	0.209052579365075	-4.05905257936509
51	108.9	113.454191468254	99.6125	13.841691468254	-4.55419146825396
52	95.8	93.0833581349206	98.55	-5.46664186507937	2.71664186507937
53	87.2	93.8236359126984	98.0416666666667	-4.21803075396826	-6.6236359126984
54	108.4	106.382663690476	98.0375	8.34516369047619	2.01733630952381
55	74.9	72.7281994047619	97.8791666666667	-25.1509672619048	2.17180059523808
56	80.8	80.5930803571429	98	-17.4069196428571	0.20691964285713
57	119.1	115.706969246032	98.125	17.5819692460318	3.39303075396826
58	107.9	109.391691468254	98.3958333333333	10.9958581349206	-1.49169146825395
59	106.9	104.942385912698	98.6875	6.25488591269842	1.95761408730161
60	96.8	102.793080357143	99.0166666666666	3.77641369047619	-5.99308035714283
61	93.7	90.4791914682539	99.2416666666666	-8.76247519841271	3.22080853174606
62	95.2	99.6882192460317	99.4791666666666	0.209052579365075	-4.48821924603172
63	112.7	113.308358134921	99.4666666666667	13.841691468254	-0.608358134920621
64	98.5	93.8458581349206	99.3125	-5.46664186507937	4.65414186507937
65	91.5	95.0194692460318	99.2375	-4.21803075396826	-3.51946924603176
66	112	108.09099702381	99.7458333333333	8.34516369047619	3.90900297619046
67	76.7	75.0781994047619	100.229166666667	-25.1509672619048	1.62180059523811
68	84.7	83.2805803571429	100.6875	-17.4069196428571	1.41941964285715
69	114.9	119.194469246032	101.6125	17.5819692460318	-4.29446924603174
70	108.4	112.816691468254	101.820833333333	10.9958581349206	-4.41669146825397
71	104.6	108.729885912698	102.475	6.25488591269842	-4.12988591269841
72	111.3	106.643080357143	102.866666666667	3.77641369047619	4.65691964285715
73	90.8	94.1208581349207	102.883333333333	-8.76247519841271	-3.32085813492066
74	109.1	104.109052579365	103.9	0.209052579365075	4.99094742063491
75	121	118.804191468254	104.9625	13.841691468254	2.19580853174604
76	95.2	100.037524801587	105.504166666667	-5.46664186507937	-4.83752480158729
77	110.5	101.365302579365	105.583333333333	-4.21803075396826	9.13469742063492
78	102.4	113.586830357143	105.241666666667	8.34516369047619	-11.1868303571429
79	86.7	80.2156994047619	105.366666666667	-25.1509672619048	6.48430059523811
80	99.1	NA	NA	-17.4069196428571	NA
81	126	NA	NA	17.5819692460318	NA
82	110.3	NA	NA	10.9958581349206	NA
83	104.6	NA	NA	6.25488591269842	NA
84	103.1	NA	NA	3.77641369047619	NA
85	102	NA	NA	-8.76247519841271	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 88.1 & NA & NA & -8.76247519841271 & NA \tabularnewline
2 & 101.7 & NA & NA & 0.209052579365075 & NA \tabularnewline
3 & 114.8 & NA & NA & 13.841691468254 & NA \tabularnewline
4 & 103.4 & NA & NA & -5.46664186507937 & NA \tabularnewline
5 & 96.4 & NA & NA & -4.21803075396826 & NA \tabularnewline
6 & 110 & NA & NA & 8.34516369047619 & NA \tabularnewline
7 & 71.1 & 75.2406994047619 & 100.391666666667 & -25.1509672619048 & -4.1406994047619 \tabularnewline
8 & 79.4 & 83.4055803571428 & 100.8125 & -17.4069196428571 & -4.00558035714283 \tabularnewline
9 & 119.2 & 118.673635912698 & 101.091666666667 & 17.5819692460318 & 0.526364087301602 \tabularnewline
10 & 99.1 & 111.758358134921 & 100.7625 & 10.9958581349206 & -12.6583581349206 \tabularnewline
11 & 113.2 & 106.659052579365 & 100.404166666667 & 6.25488591269842 & 6.54094742063494 \tabularnewline
12 & 103.6 & 104.505580357143 & 100.729166666667 & 3.77641369047619 & -0.905580357142838 \tabularnewline
13 & 97.5 & 92.1250248015873 & 100.8875 & -8.76247519841271 & 5.37497519841271 \tabularnewline
14 & 102.4 & 101.371552579365 & 101.1625 & 0.209052579365075 & 1.02844742063493 \tabularnewline
15 & 120.8 & 115.141691468254 & 101.3 & 13.841691468254 & 5.65830853174604 \tabularnewline
16 & 89.5 & 96.3208581349206 & 101.7875 & -5.46664186507937 & -6.82085813492063 \tabularnewline
17 & 101.7 & 98.0611359126984 & 102.279166666667 & -4.21803075396826 & 3.6388640873016 \tabularnewline
18 & 112.5 & 110.49099702381 & 102.145833333333 & 8.34516369047619 & 2.00900297619049 \tabularnewline
19 & 72.4 & 76.8448660714286 & 101.995833333333 & -25.1509672619048 & -4.44486607142855 \tabularnewline
20 & 84.7 & 84.5180803571428 & 101.925 & -17.4069196428571 & 0.181919642857167 \tabularnewline
21 & 117.2 & 119.348635912698 & 101.766666666667 & 17.5819692460318 & -2.1486359126984 \tabularnewline
22 & 112.8 & 112.812524801587 & 101.816666666667 & 10.9958581349206 & -0.0125248015873041 \tabularnewline
23 & 111.3 & 108.263219246032 & 102.008333333333 & 6.25488591269842 & 3.03678075396826 \tabularnewline
24 & 102.3 & 105.738913690476 & 101.9625 & 3.77641369047619 & -3.4389136904762 \tabularnewline
25 & 95.2 & 93.316691468254 & 102.079166666667 & -8.76247519841271 & 1.88330853174602 \tabularnewline
26 & 103 & 102.767385912698 & 102.558333333333 & 0.209052579365075 & 0.23261408730157 \tabularnewline
27 & 116.4 & 116.816691468254 & 102.975 & 13.841691468254 & -0.416691468253987 \tabularnewline
28 & 95.1 & 97.8125248015873 & 103.279166666667 & -5.46664186507937 & -2.71252480158731 \tabularnewline
29 & 100.7 & 99.2819692460318 & 103.5 & -4.21803075396826 & 1.41803075396824 \tabularnewline
30 & 112.4 & 112.27849702381 & 103.933333333333 & 8.34516369047619 & 0.12150297619047 \tabularnewline
31 & 75.3 & 79.0031994047619 & 104.154166666667 & -25.1509672619048 & -3.70319940476189 \tabularnewline
32 & 93.3 & 86.6472470238095 & 104.054166666667 & -17.4069196428571 & 6.65275297619047 \tabularnewline
33 & 118.6 & 121.719469246032 & 104.1375 & 17.5819692460318 & -3.11946924603174 \tabularnewline
34 & 118.7 & 115.520858134921 & 104.525 & 10.9958581349206 & 3.17914186507936 \tabularnewline
35 & 110.7 & 111.017385912698 & 104.7625 & 6.25488591269842 & -0.317385912698413 \tabularnewline
36 & 113.3 & 108.430580357143 & 104.654166666667 & 3.77641369047619 & 4.86941964285714 \tabularnewline
37 & 89.5 & 96.166691468254 & 104.929166666667 & -8.76247519841271 & -6.66669146825396 \tabularnewline
38 & 106.3 & 104.788219246032 & 104.579166666667 & 0.209052579365075 & 1.51178075396827 \tabularnewline
39 & 115.1 & 118.158358134921 & 104.316666666667 & 13.841691468254 & -3.05835813492062 \tabularnewline
40 & 105.7 & 99.4833581349206 & 104.95 & -5.46664186507937 & 6.21664186507938 \tabularnewline
41 & 95.8 & 100.631969246032 & 104.85 & -4.21803075396826 & -4.83196924603173 \tabularnewline
42 & 114.7 & 112.35349702381 & 104.008333333333 & 8.34516369047619 & 2.34650297619048 \tabularnewline
43 & 79.6 & 78.5031994047619 & 103.654166666667 & -25.1509672619048 & 1.09680059523807 \tabularnewline
44 & 80.6 & 85.8389136904762 & 103.245833333333 & -17.4069196428571 & -5.23891369047621 \tabularnewline
45 & 125 & 120.140302579365 & 102.558333333333 & 17.5819692460318 & 4.85969742063493 \tabularnewline
46 & 127.5 & 112.883358134921 & 101.8875 & 10.9958581349206 & 14.6166418650794 \tabularnewline
47 & 99.5 & 107.371552579365 & 101.116666666667 & 6.25488591269842 & -7.87155257936506 \tabularnewline
48 & 104.3 & 104.27224702381 & 100.495833333333 & 3.77641369047619 & 0.0277529761904844 \tabularnewline
49 & 90 & 91.2750248015873 & 100.0375 & -8.76247519841271 & -1.27502480158731 \tabularnewline
50 & 96 & 100.059052579365 & 99.85 & 0.209052579365075 & -4.05905257936509 \tabularnewline
51 & 108.9 & 113.454191468254 & 99.6125 & 13.841691468254 & -4.55419146825396 \tabularnewline
52 & 95.8 & 93.0833581349206 & 98.55 & -5.46664186507937 & 2.71664186507937 \tabularnewline
53 & 87.2 & 93.8236359126984 & 98.0416666666667 & -4.21803075396826 & -6.6236359126984 \tabularnewline
54 & 108.4 & 106.382663690476 & 98.0375 & 8.34516369047619 & 2.01733630952381 \tabularnewline
55 & 74.9 & 72.7281994047619 & 97.8791666666667 & -25.1509672619048 & 2.17180059523808 \tabularnewline
56 & 80.8 & 80.5930803571429 & 98 & -17.4069196428571 & 0.20691964285713 \tabularnewline
57 & 119.1 & 115.706969246032 & 98.125 & 17.5819692460318 & 3.39303075396826 \tabularnewline
58 & 107.9 & 109.391691468254 & 98.3958333333333 & 10.9958581349206 & -1.49169146825395 \tabularnewline
59 & 106.9 & 104.942385912698 & 98.6875 & 6.25488591269842 & 1.95761408730161 \tabularnewline
60 & 96.8 & 102.793080357143 & 99.0166666666666 & 3.77641369047619 & -5.99308035714283 \tabularnewline
61 & 93.7 & 90.4791914682539 & 99.2416666666666 & -8.76247519841271 & 3.22080853174606 \tabularnewline
62 & 95.2 & 99.6882192460317 & 99.4791666666666 & 0.209052579365075 & -4.48821924603172 \tabularnewline
63 & 112.7 & 113.308358134921 & 99.4666666666667 & 13.841691468254 & -0.608358134920621 \tabularnewline
64 & 98.5 & 93.8458581349206 & 99.3125 & -5.46664186507937 & 4.65414186507937 \tabularnewline
65 & 91.5 & 95.0194692460318 & 99.2375 & -4.21803075396826 & -3.51946924603176 \tabularnewline
66 & 112 & 108.09099702381 & 99.7458333333333 & 8.34516369047619 & 3.90900297619046 \tabularnewline
67 & 76.7 & 75.0781994047619 & 100.229166666667 & -25.1509672619048 & 1.62180059523811 \tabularnewline
68 & 84.7 & 83.2805803571429 & 100.6875 & -17.4069196428571 & 1.41941964285715 \tabularnewline
69 & 114.9 & 119.194469246032 & 101.6125 & 17.5819692460318 & -4.29446924603174 \tabularnewline
70 & 108.4 & 112.816691468254 & 101.820833333333 & 10.9958581349206 & -4.41669146825397 \tabularnewline
71 & 104.6 & 108.729885912698 & 102.475 & 6.25488591269842 & -4.12988591269841 \tabularnewline
72 & 111.3 & 106.643080357143 & 102.866666666667 & 3.77641369047619 & 4.65691964285715 \tabularnewline
73 & 90.8 & 94.1208581349207 & 102.883333333333 & -8.76247519841271 & -3.32085813492066 \tabularnewline
74 & 109.1 & 104.109052579365 & 103.9 & 0.209052579365075 & 4.99094742063491 \tabularnewline
75 & 121 & 118.804191468254 & 104.9625 & 13.841691468254 & 2.19580853174604 \tabularnewline
76 & 95.2 & 100.037524801587 & 105.504166666667 & -5.46664186507937 & -4.83752480158729 \tabularnewline
77 & 110.5 & 101.365302579365 & 105.583333333333 & -4.21803075396826 & 9.13469742063492 \tabularnewline
78 & 102.4 & 113.586830357143 & 105.241666666667 & 8.34516369047619 & -11.1868303571429 \tabularnewline
79 & 86.7 & 80.2156994047619 & 105.366666666667 & -25.1509672619048 & 6.48430059523811 \tabularnewline
80 & 99.1 & NA & NA & -17.4069196428571 & NA \tabularnewline
81 & 126 & NA & NA & 17.5819692460318 & NA \tabularnewline
82 & 110.3 & NA & NA & 10.9958581349206 & NA \tabularnewline
83 & 104.6 & NA & NA & 6.25488591269842 & NA \tabularnewline
84 & 103.1 & NA & NA & 3.77641369047619 & NA \tabularnewline
85 & 102 & NA & NA & -8.76247519841271 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192284&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]88.1[/C][C]NA[/C][C]NA[/C][C]-8.76247519841271[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.7[/C][C]NA[/C][C]NA[/C][C]0.209052579365075[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]114.8[/C][C]NA[/C][C]NA[/C][C]13.841691468254[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]103.4[/C][C]NA[/C][C]NA[/C][C]-5.46664186507937[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]96.4[/C][C]NA[/C][C]NA[/C][C]-4.21803075396826[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]110[/C][C]NA[/C][C]NA[/C][C]8.34516369047619[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]71.1[/C][C]75.2406994047619[/C][C]100.391666666667[/C][C]-25.1509672619048[/C][C]-4.1406994047619[/C][/ROW]
[ROW][C]8[/C][C]79.4[/C][C]83.4055803571428[/C][C]100.8125[/C][C]-17.4069196428571[/C][C]-4.00558035714283[/C][/ROW]
[ROW][C]9[/C][C]119.2[/C][C]118.673635912698[/C][C]101.091666666667[/C][C]17.5819692460318[/C][C]0.526364087301602[/C][/ROW]
[ROW][C]10[/C][C]99.1[/C][C]111.758358134921[/C][C]100.7625[/C][C]10.9958581349206[/C][C]-12.6583581349206[/C][/ROW]
[ROW][C]11[/C][C]113.2[/C][C]106.659052579365[/C][C]100.404166666667[/C][C]6.25488591269842[/C][C]6.54094742063494[/C][/ROW]
[ROW][C]12[/C][C]103.6[/C][C]104.505580357143[/C][C]100.729166666667[/C][C]3.77641369047619[/C][C]-0.905580357142838[/C][/ROW]
[ROW][C]13[/C][C]97.5[/C][C]92.1250248015873[/C][C]100.8875[/C][C]-8.76247519841271[/C][C]5.37497519841271[/C][/ROW]
[ROW][C]14[/C][C]102.4[/C][C]101.371552579365[/C][C]101.1625[/C][C]0.209052579365075[/C][C]1.02844742063493[/C][/ROW]
[ROW][C]15[/C][C]120.8[/C][C]115.141691468254[/C][C]101.3[/C][C]13.841691468254[/C][C]5.65830853174604[/C][/ROW]
[ROW][C]16[/C][C]89.5[/C][C]96.3208581349206[/C][C]101.7875[/C][C]-5.46664186507937[/C][C]-6.82085813492063[/C][/ROW]
[ROW][C]17[/C][C]101.7[/C][C]98.0611359126984[/C][C]102.279166666667[/C][C]-4.21803075396826[/C][C]3.6388640873016[/C][/ROW]
[ROW][C]18[/C][C]112.5[/C][C]110.49099702381[/C][C]102.145833333333[/C][C]8.34516369047619[/C][C]2.00900297619049[/C][/ROW]
[ROW][C]19[/C][C]72.4[/C][C]76.8448660714286[/C][C]101.995833333333[/C][C]-25.1509672619048[/C][C]-4.44486607142855[/C][/ROW]
[ROW][C]20[/C][C]84.7[/C][C]84.5180803571428[/C][C]101.925[/C][C]-17.4069196428571[/C][C]0.181919642857167[/C][/ROW]
[ROW][C]21[/C][C]117.2[/C][C]119.348635912698[/C][C]101.766666666667[/C][C]17.5819692460318[/C][C]-2.1486359126984[/C][/ROW]
[ROW][C]22[/C][C]112.8[/C][C]112.812524801587[/C][C]101.816666666667[/C][C]10.9958581349206[/C][C]-0.0125248015873041[/C][/ROW]
[ROW][C]23[/C][C]111.3[/C][C]108.263219246032[/C][C]102.008333333333[/C][C]6.25488591269842[/C][C]3.03678075396826[/C][/ROW]
[ROW][C]24[/C][C]102.3[/C][C]105.738913690476[/C][C]101.9625[/C][C]3.77641369047619[/C][C]-3.4389136904762[/C][/ROW]
[ROW][C]25[/C][C]95.2[/C][C]93.316691468254[/C][C]102.079166666667[/C][C]-8.76247519841271[/C][C]1.88330853174602[/C][/ROW]
[ROW][C]26[/C][C]103[/C][C]102.767385912698[/C][C]102.558333333333[/C][C]0.209052579365075[/C][C]0.23261408730157[/C][/ROW]
[ROW][C]27[/C][C]116.4[/C][C]116.816691468254[/C][C]102.975[/C][C]13.841691468254[/C][C]-0.416691468253987[/C][/ROW]
[ROW][C]28[/C][C]95.1[/C][C]97.8125248015873[/C][C]103.279166666667[/C][C]-5.46664186507937[/C][C]-2.71252480158731[/C][/ROW]
[ROW][C]29[/C][C]100.7[/C][C]99.2819692460318[/C][C]103.5[/C][C]-4.21803075396826[/C][C]1.41803075396824[/C][/ROW]
[ROW][C]30[/C][C]112.4[/C][C]112.27849702381[/C][C]103.933333333333[/C][C]8.34516369047619[/C][C]0.12150297619047[/C][/ROW]
[ROW][C]31[/C][C]75.3[/C][C]79.0031994047619[/C][C]104.154166666667[/C][C]-25.1509672619048[/C][C]-3.70319940476189[/C][/ROW]
[ROW][C]32[/C][C]93.3[/C][C]86.6472470238095[/C][C]104.054166666667[/C][C]-17.4069196428571[/C][C]6.65275297619047[/C][/ROW]
[ROW][C]33[/C][C]118.6[/C][C]121.719469246032[/C][C]104.1375[/C][C]17.5819692460318[/C][C]-3.11946924603174[/C][/ROW]
[ROW][C]34[/C][C]118.7[/C][C]115.520858134921[/C][C]104.525[/C][C]10.9958581349206[/C][C]3.17914186507936[/C][/ROW]
[ROW][C]35[/C][C]110.7[/C][C]111.017385912698[/C][C]104.7625[/C][C]6.25488591269842[/C][C]-0.317385912698413[/C][/ROW]
[ROW][C]36[/C][C]113.3[/C][C]108.430580357143[/C][C]104.654166666667[/C][C]3.77641369047619[/C][C]4.86941964285714[/C][/ROW]
[ROW][C]37[/C][C]89.5[/C][C]96.166691468254[/C][C]104.929166666667[/C][C]-8.76247519841271[/C][C]-6.66669146825396[/C][/ROW]
[ROW][C]38[/C][C]106.3[/C][C]104.788219246032[/C][C]104.579166666667[/C][C]0.209052579365075[/C][C]1.51178075396827[/C][/ROW]
[ROW][C]39[/C][C]115.1[/C][C]118.158358134921[/C][C]104.316666666667[/C][C]13.841691468254[/C][C]-3.05835813492062[/C][/ROW]
[ROW][C]40[/C][C]105.7[/C][C]99.4833581349206[/C][C]104.95[/C][C]-5.46664186507937[/C][C]6.21664186507938[/C][/ROW]
[ROW][C]41[/C][C]95.8[/C][C]100.631969246032[/C][C]104.85[/C][C]-4.21803075396826[/C][C]-4.83196924603173[/C][/ROW]
[ROW][C]42[/C][C]114.7[/C][C]112.35349702381[/C][C]104.008333333333[/C][C]8.34516369047619[/C][C]2.34650297619048[/C][/ROW]
[ROW][C]43[/C][C]79.6[/C][C]78.5031994047619[/C][C]103.654166666667[/C][C]-25.1509672619048[/C][C]1.09680059523807[/C][/ROW]
[ROW][C]44[/C][C]80.6[/C][C]85.8389136904762[/C][C]103.245833333333[/C][C]-17.4069196428571[/C][C]-5.23891369047621[/C][/ROW]
[ROW][C]45[/C][C]125[/C][C]120.140302579365[/C][C]102.558333333333[/C][C]17.5819692460318[/C][C]4.85969742063493[/C][/ROW]
[ROW][C]46[/C][C]127.5[/C][C]112.883358134921[/C][C]101.8875[/C][C]10.9958581349206[/C][C]14.6166418650794[/C][/ROW]
[ROW][C]47[/C][C]99.5[/C][C]107.371552579365[/C][C]101.116666666667[/C][C]6.25488591269842[/C][C]-7.87155257936506[/C][/ROW]
[ROW][C]48[/C][C]104.3[/C][C]104.27224702381[/C][C]100.495833333333[/C][C]3.77641369047619[/C][C]0.0277529761904844[/C][/ROW]
[ROW][C]49[/C][C]90[/C][C]91.2750248015873[/C][C]100.0375[/C][C]-8.76247519841271[/C][C]-1.27502480158731[/C][/ROW]
[ROW][C]50[/C][C]96[/C][C]100.059052579365[/C][C]99.85[/C][C]0.209052579365075[/C][C]-4.05905257936509[/C][/ROW]
[ROW][C]51[/C][C]108.9[/C][C]113.454191468254[/C][C]99.6125[/C][C]13.841691468254[/C][C]-4.55419146825396[/C][/ROW]
[ROW][C]52[/C][C]95.8[/C][C]93.0833581349206[/C][C]98.55[/C][C]-5.46664186507937[/C][C]2.71664186507937[/C][/ROW]
[ROW][C]53[/C][C]87.2[/C][C]93.8236359126984[/C][C]98.0416666666667[/C][C]-4.21803075396826[/C][C]-6.6236359126984[/C][/ROW]
[ROW][C]54[/C][C]108.4[/C][C]106.382663690476[/C][C]98.0375[/C][C]8.34516369047619[/C][C]2.01733630952381[/C][/ROW]
[ROW][C]55[/C][C]74.9[/C][C]72.7281994047619[/C][C]97.8791666666667[/C][C]-25.1509672619048[/C][C]2.17180059523808[/C][/ROW]
[ROW][C]56[/C][C]80.8[/C][C]80.5930803571429[/C][C]98[/C][C]-17.4069196428571[/C][C]0.20691964285713[/C][/ROW]
[ROW][C]57[/C][C]119.1[/C][C]115.706969246032[/C][C]98.125[/C][C]17.5819692460318[/C][C]3.39303075396826[/C][/ROW]
[ROW][C]58[/C][C]107.9[/C][C]109.391691468254[/C][C]98.3958333333333[/C][C]10.9958581349206[/C][C]-1.49169146825395[/C][/ROW]
[ROW][C]59[/C][C]106.9[/C][C]104.942385912698[/C][C]98.6875[/C][C]6.25488591269842[/C][C]1.95761408730161[/C][/ROW]
[ROW][C]60[/C][C]96.8[/C][C]102.793080357143[/C][C]99.0166666666666[/C][C]3.77641369047619[/C][C]-5.99308035714283[/C][/ROW]
[ROW][C]61[/C][C]93.7[/C][C]90.4791914682539[/C][C]99.2416666666666[/C][C]-8.76247519841271[/C][C]3.22080853174606[/C][/ROW]
[ROW][C]62[/C][C]95.2[/C][C]99.6882192460317[/C][C]99.4791666666666[/C][C]0.209052579365075[/C][C]-4.48821924603172[/C][/ROW]
[ROW][C]63[/C][C]112.7[/C][C]113.308358134921[/C][C]99.4666666666667[/C][C]13.841691468254[/C][C]-0.608358134920621[/C][/ROW]
[ROW][C]64[/C][C]98.5[/C][C]93.8458581349206[/C][C]99.3125[/C][C]-5.46664186507937[/C][C]4.65414186507937[/C][/ROW]
[ROW][C]65[/C][C]91.5[/C][C]95.0194692460318[/C][C]99.2375[/C][C]-4.21803075396826[/C][C]-3.51946924603176[/C][/ROW]
[ROW][C]66[/C][C]112[/C][C]108.09099702381[/C][C]99.7458333333333[/C][C]8.34516369047619[/C][C]3.90900297619046[/C][/ROW]
[ROW][C]67[/C][C]76.7[/C][C]75.0781994047619[/C][C]100.229166666667[/C][C]-25.1509672619048[/C][C]1.62180059523811[/C][/ROW]
[ROW][C]68[/C][C]84.7[/C][C]83.2805803571429[/C][C]100.6875[/C][C]-17.4069196428571[/C][C]1.41941964285715[/C][/ROW]
[ROW][C]69[/C][C]114.9[/C][C]119.194469246032[/C][C]101.6125[/C][C]17.5819692460318[/C][C]-4.29446924603174[/C][/ROW]
[ROW][C]70[/C][C]108.4[/C][C]112.816691468254[/C][C]101.820833333333[/C][C]10.9958581349206[/C][C]-4.41669146825397[/C][/ROW]
[ROW][C]71[/C][C]104.6[/C][C]108.729885912698[/C][C]102.475[/C][C]6.25488591269842[/C][C]-4.12988591269841[/C][/ROW]
[ROW][C]72[/C][C]111.3[/C][C]106.643080357143[/C][C]102.866666666667[/C][C]3.77641369047619[/C][C]4.65691964285715[/C][/ROW]
[ROW][C]73[/C][C]90.8[/C][C]94.1208581349207[/C][C]102.883333333333[/C][C]-8.76247519841271[/C][C]-3.32085813492066[/C][/ROW]
[ROW][C]74[/C][C]109.1[/C][C]104.109052579365[/C][C]103.9[/C][C]0.209052579365075[/C][C]4.99094742063491[/C][/ROW]
[ROW][C]75[/C][C]121[/C][C]118.804191468254[/C][C]104.9625[/C][C]13.841691468254[/C][C]2.19580853174604[/C][/ROW]
[ROW][C]76[/C][C]95.2[/C][C]100.037524801587[/C][C]105.504166666667[/C][C]-5.46664186507937[/C][C]-4.83752480158729[/C][/ROW]
[ROW][C]77[/C][C]110.5[/C][C]101.365302579365[/C][C]105.583333333333[/C][C]-4.21803075396826[/C][C]9.13469742063492[/C][/ROW]
[ROW][C]78[/C][C]102.4[/C][C]113.586830357143[/C][C]105.241666666667[/C][C]8.34516369047619[/C][C]-11.1868303571429[/C][/ROW]
[ROW][C]79[/C][C]86.7[/C][C]80.2156994047619[/C][C]105.366666666667[/C][C]-25.1509672619048[/C][C]6.48430059523811[/C][/ROW]
[ROW][C]80[/C][C]99.1[/C][C]NA[/C][C]NA[/C][C]-17.4069196428571[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]126[/C][C]NA[/C][C]NA[/C][C]17.5819692460318[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]110.3[/C][C]NA[/C][C]NA[/C][C]10.9958581349206[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]104.6[/C][C]NA[/C][C]NA[/C][C]6.25488591269842[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]103.1[/C][C]NA[/C][C]NA[/C][C]3.77641369047619[/C][C]NA[/C][/ROW]
[ROW][C]85[/C][C]102[/C][C]NA[/C][C]NA[/C][C]-8.76247519841271[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192284&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192284&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	88.1	NA	NA	-8.76247519841271	NA
2	101.7	NA	NA	0.209052579365075	NA
3	114.8	NA	NA	13.841691468254	NA
4	103.4	NA	NA	-5.46664186507937	NA
5	96.4	NA	NA	-4.21803075396826	NA
6	110	NA	NA	8.34516369047619	NA
7	71.1	75.2406994047619	100.391666666667	-25.1509672619048	-4.1406994047619
8	79.4	83.4055803571428	100.8125	-17.4069196428571	-4.00558035714283
9	119.2	118.673635912698	101.091666666667	17.5819692460318	0.526364087301602
10	99.1	111.758358134921	100.7625	10.9958581349206	-12.6583581349206
11	113.2	106.659052579365	100.404166666667	6.25488591269842	6.54094742063494
12	103.6	104.505580357143	100.729166666667	3.77641369047619	-0.905580357142838
13	97.5	92.1250248015873	100.8875	-8.76247519841271	5.37497519841271
14	102.4	101.371552579365	101.1625	0.209052579365075	1.02844742063493
15	120.8	115.141691468254	101.3	13.841691468254	5.65830853174604
16	89.5	96.3208581349206	101.7875	-5.46664186507937	-6.82085813492063
17	101.7	98.0611359126984	102.279166666667	-4.21803075396826	3.6388640873016
18	112.5	110.49099702381	102.145833333333	8.34516369047619	2.00900297619049
19	72.4	76.8448660714286	101.995833333333	-25.1509672619048	-4.44486607142855
20	84.7	84.5180803571428	101.925	-17.4069196428571	0.181919642857167
21	117.2	119.348635912698	101.766666666667	17.5819692460318	-2.1486359126984
22	112.8	112.812524801587	101.816666666667	10.9958581349206	-0.0125248015873041
23	111.3	108.263219246032	102.008333333333	6.25488591269842	3.03678075396826
24	102.3	105.738913690476	101.9625	3.77641369047619	-3.4389136904762
25	95.2	93.316691468254	102.079166666667	-8.76247519841271	1.88330853174602
26	103	102.767385912698	102.558333333333	0.209052579365075	0.23261408730157
27	116.4	116.816691468254	102.975	13.841691468254	-0.416691468253987
28	95.1	97.8125248015873	103.279166666667	-5.46664186507937	-2.71252480158731
29	100.7	99.2819692460318	103.5	-4.21803075396826	1.41803075396824
30	112.4	112.27849702381	103.933333333333	8.34516369047619	0.12150297619047
31	75.3	79.0031994047619	104.154166666667	-25.1509672619048	-3.70319940476189
32	93.3	86.6472470238095	104.054166666667	-17.4069196428571	6.65275297619047
33	118.6	121.719469246032	104.1375	17.5819692460318	-3.11946924603174
34	118.7	115.520858134921	104.525	10.9958581349206	3.17914186507936
35	110.7	111.017385912698	104.7625	6.25488591269842	-0.317385912698413
36	113.3	108.430580357143	104.654166666667	3.77641369047619	4.86941964285714
37	89.5	96.166691468254	104.929166666667	-8.76247519841271	-6.66669146825396
38	106.3	104.788219246032	104.579166666667	0.209052579365075	1.51178075396827
39	115.1	118.158358134921	104.316666666667	13.841691468254	-3.05835813492062
40	105.7	99.4833581349206	104.95	-5.46664186507937	6.21664186507938
41	95.8	100.631969246032	104.85	-4.21803075396826	-4.83196924603173
42	114.7	112.35349702381	104.008333333333	8.34516369047619	2.34650297619048
43	79.6	78.5031994047619	103.654166666667	-25.1509672619048	1.09680059523807
44	80.6	85.8389136904762	103.245833333333	-17.4069196428571	-5.23891369047621
45	125	120.140302579365	102.558333333333	17.5819692460318	4.85969742063493
46	127.5	112.883358134921	101.8875	10.9958581349206	14.6166418650794
47	99.5	107.371552579365	101.116666666667	6.25488591269842	-7.87155257936506
48	104.3	104.27224702381	100.495833333333	3.77641369047619	0.0277529761904844
49	90	91.2750248015873	100.0375	-8.76247519841271	-1.27502480158731
50	96	100.059052579365	99.85	0.209052579365075	-4.05905257936509
51	108.9	113.454191468254	99.6125	13.841691468254	-4.55419146825396
52	95.8	93.0833581349206	98.55	-5.46664186507937	2.71664186507937
53	87.2	93.8236359126984	98.0416666666667	-4.21803075396826	-6.6236359126984
54	108.4	106.382663690476	98.0375	8.34516369047619	2.01733630952381
55	74.9	72.7281994047619	97.8791666666667	-25.1509672619048	2.17180059523808
56	80.8	80.5930803571429	98	-17.4069196428571	0.20691964285713
57	119.1	115.706969246032	98.125	17.5819692460318	3.39303075396826
58	107.9	109.391691468254	98.3958333333333	10.9958581349206	-1.49169146825395
59	106.9	104.942385912698	98.6875	6.25488591269842	1.95761408730161
60	96.8	102.793080357143	99.0166666666666	3.77641369047619	-5.99308035714283
61	93.7	90.4791914682539	99.2416666666666	-8.76247519841271	3.22080853174606
62	95.2	99.6882192460317	99.4791666666666	0.209052579365075	-4.48821924603172
63	112.7	113.308358134921	99.4666666666667	13.841691468254	-0.608358134920621
64	98.5	93.8458581349206	99.3125	-5.46664186507937	4.65414186507937
65	91.5	95.0194692460318	99.2375	-4.21803075396826	-3.51946924603176
66	112	108.09099702381	99.7458333333333	8.34516369047619	3.90900297619046
67	76.7	75.0781994047619	100.229166666667	-25.1509672619048	1.62180059523811
68	84.7	83.2805803571429	100.6875	-17.4069196428571	1.41941964285715
69	114.9	119.194469246032	101.6125	17.5819692460318	-4.29446924603174
70	108.4	112.816691468254	101.820833333333	10.9958581349206	-4.41669146825397
71	104.6	108.729885912698	102.475	6.25488591269842	-4.12988591269841
72	111.3	106.643080357143	102.866666666667	3.77641369047619	4.65691964285715
73	90.8	94.1208581349207	102.883333333333	-8.76247519841271	-3.32085813492066
74	109.1	104.109052579365	103.9	0.209052579365075	4.99094742063491
75	121	118.804191468254	104.9625	13.841691468254	2.19580853174604
76	95.2	100.037524801587	105.504166666667	-5.46664186507937	-4.83752480158729
77	110.5	101.365302579365	105.583333333333	-4.21803075396826	9.13469742063492
78	102.4	113.586830357143	105.241666666667	8.34516369047619	-11.1868303571429
79	86.7	80.2156994047619	105.366666666667	-25.1509672619048	6.48430059523811
80	99.1	NA	NA	-17.4069196428571	NA
81	126	NA	NA	17.5819692460318	NA
82	110.3	NA	NA	10.9958581349206	NA
83	104.6	NA	NA	6.25488591269842	NA
84	103.1	NA	NA	3.77641369047619	NA
85	102	NA	NA	-8.76247519841271	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; par2 = 12 ;

R code (references can be found in the software module):

par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$trend[i]+m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code