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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 22 Jul 2016 10:50:54 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Jul/22/t1469181355ewxh3d4hbz9eoag.htm/, Retrieved Mon, 29 Apr 2024 05:41:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295927, Retrieved Mon, 29 Apr 2024 05:41:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact133
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Multiplicatief mo...] [2016-07-22 09:50:54] [b1d105767b629000b6b6bd83f6a3d689] [Current]
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Dataseries X:
14724
14404
14058
13427
19946
19631
14724
11462
11778
11778
12093
12760
13742
13427
11462
11778
20929
22893
17666
14724
15387
15707
17351
18964
19315
16022
16369
12093
24222
27800
19631
17004
18649
20613
23555
27164
27164
24853
23871
17982
27800
32391
28462
24222
24853
27164
30426
34355
31724
30111
30111
24853
32391
37297
33373
29129
30426
35653
37964
41222
38595
34355
33373
25520
30742
36315
30111
26502
30111
33689
35653
40906
38280
31724
32391
26186
31409
36000
30742
27164
30426
34355
33689
41542
40244
35017
35333
28462
32706
39262
34355
31409
36315
39262
36982
47431
44835
38946
37297
29764
34035
37964
33053
33053
38595
41542
39924
51355
48413
42871
40560
32391
35333
40560
36631
35653
40244
44168
39924
50057




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295927&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]2 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=295927&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295927&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
114724NANA1.13387NA
214404NANA0.998657NA
314058NANA0.960656NA
413427NANA0.768845NA
519946NANA1.03485NA
619631NANA1.17086NA
71472413912.414191.20.9803591.05833
81146211933.914109.50.8458040.960457
91177812758.113960.70.9138570.923181
101177813616.713783.80.9878750.864969
111209314072.8137561.023030.859316
121276016459.513932.91.181340.775237
131374216091.214191.41.133870.854007
141342714430.514449.90.9986570.930459
151146214156.414736.20.9606560.809668
161177811571.315050.30.7688451.01786
17209291597115433.11.034851.31044
182289318629.215910.71.170861.22888
191766616079.216401.40.9803591.09868
201472414160.216741.70.8458041.03982
211538715585.217054.30.9138570.987283
221570717062.517271.90.9878750.920559
231735117823.417422.21.023030.973495
241896420985.117763.91.181340.903687
251931520466.618050.21.133870.943735
261602218202.618227.10.9986570.880204
271636917731.8184580.9606560.923144
28120931445318798.30.7688450.836712
292422219932.519261.21.034851.2152
302780023254.919861.41.170861.19545
311963120126.920530.10.9803590.975362
321700417952.321225.10.8458040.947177
331864920018.721905.70.9138570.931581
342061322191.322463.60.9878750.928879
352355523384.522858.11.023031.00729
362716427405.223198.51.181340.991198
372716426938.123757.71.133871.00839
382485324393.624426.40.9986571.01883
392387124002.624985.70.9606560.994516
401798219618.725517.10.7688450.916574
412780026985.226076.41.034851.03019
423239131217.826662.31.170861.03758
432846226618.627151.90.9803591.06925
442422223311.2275610.8458041.03907
452485325624.628040.10.9138570.969887
462716428239.828586.40.9878750.961906
473042629733.3290641.023031.0233
483435534801.829459.71.181340.987161
493172433867.229868.71.133870.936718
503011130237.130277.80.9986570.995829
51301112950630714.50.9606561.0205
522485324065.131300.40.7688451.03274
533239133082.331968.21.034850.979103
54372973813332568.41.170860.978077
553337332489.933140.80.9803591.02718
562912928422.333603.90.8458041.02486
57304263099533916.70.9138570.981642
583565333667.234080.40.9878751.05898
593796434823.334039.51.023031.09019
604122240082.633929.81.181341.02843
613859538271.5337531.133871.00845
623435533462.633507.60.9986571.02667
633337332071.5333850.9606561.04058
642552025594.933290.10.7688450.997073
653074234266331121.034850.897158
663631538641.333002.51.170860.939797
673011132328.532976.20.9803590.931407
682650227787.632853.50.8458040.953735
693011129885.832702.90.9138571.00754
703368932293.432689.70.9878751.04322
713565333499.432745.31.023031.06429
724090638700.6327601.181341.05699
733828037160.432773.11.133871.03013
743172432782.9328270.9986570.967699
753239131574.632867.70.9606561.02586
762618625301.632908.60.7688451.03495
773140933999.532854.51.034850.923806
783600038403.232799.21.170860.937421
793074232261.132907.50.9803590.952911
802716428018.633126.50.8458040.9695
813042630510.333386.30.9138570.997235
823435533196.333603.80.9878751.0349
833368934529.933752.61.023030.975647
844154240097.733942.61.181341.03602
854024438811.2342291.133871.03692
86350173451034556.50.9986571.01469
873533333602.534978.70.9606561.0515
882846227239.135428.50.7688451.0449
893270637016.935770.21.034850.883543
903926242329.936152.81.170860.927525
913435535870.836589.50.9803590.957743
923140931247.836944.50.8458041.00516
933631533986.4371900.9138571.06852
943926236873.537326.10.9878751.06478
953698238297.837435.71.023030.965643
964743144225.8374371.181341.07247
974483542325.837328.71.133871.05928
983894637292.837342.90.9986571.04433
993729736030.837506.40.9606561.03514
1002976428982.737696.40.7688451.02696
1013403539235.4379141.034850.867457
1023796444726.938200.11.170860.848795
1033305337756.238512.70.9803590.875432
1043305332838.638825.30.8458041.00653
1053859535754.539124.80.9138571.07945
1064154238892.939370.20.9878751.06811
1073992440444.239533.71.023030.987139
1085135546894.4396961.181341.09512
1094841345301.739953.21.133871.06868
1104287140156.740210.70.9986571.06759
1114056038798.740387.70.9606561.0454
1123239131188.840565.80.7688451.03854
1133533342092.940675.21.034850.839406
1144056047561.740621.21.170860.852787
11536631NANA0.980359NA
11635653NANA0.845804NA
11740244NANA0.913857NA
11844168NANA0.987875NA
11939924NANA1.02303NA
12050057NANA1.18134NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 14724 & NA & NA & 1.13387 & NA \tabularnewline
2 & 14404 & NA & NA & 0.998657 & NA \tabularnewline
3 & 14058 & NA & NA & 0.960656 & NA \tabularnewline
4 & 13427 & NA & NA & 0.768845 & NA \tabularnewline
5 & 19946 & NA & NA & 1.03485 & NA \tabularnewline
6 & 19631 & NA & NA & 1.17086 & NA \tabularnewline
7 & 14724 & 13912.4 & 14191.2 & 0.980359 & 1.05833 \tabularnewline
8 & 11462 & 11933.9 & 14109.5 & 0.845804 & 0.960457 \tabularnewline
9 & 11778 & 12758.1 & 13960.7 & 0.913857 & 0.923181 \tabularnewline
10 & 11778 & 13616.7 & 13783.8 & 0.987875 & 0.864969 \tabularnewline
11 & 12093 & 14072.8 & 13756 & 1.02303 & 0.859316 \tabularnewline
12 & 12760 & 16459.5 & 13932.9 & 1.18134 & 0.775237 \tabularnewline
13 & 13742 & 16091.2 & 14191.4 & 1.13387 & 0.854007 \tabularnewline
14 & 13427 & 14430.5 & 14449.9 & 0.998657 & 0.930459 \tabularnewline
15 & 11462 & 14156.4 & 14736.2 & 0.960656 & 0.809668 \tabularnewline
16 & 11778 & 11571.3 & 15050.3 & 0.768845 & 1.01786 \tabularnewline
17 & 20929 & 15971 & 15433.1 & 1.03485 & 1.31044 \tabularnewline
18 & 22893 & 18629.2 & 15910.7 & 1.17086 & 1.22888 \tabularnewline
19 & 17666 & 16079.2 & 16401.4 & 0.980359 & 1.09868 \tabularnewline
20 & 14724 & 14160.2 & 16741.7 & 0.845804 & 1.03982 \tabularnewline
21 & 15387 & 15585.2 & 17054.3 & 0.913857 & 0.987283 \tabularnewline
22 & 15707 & 17062.5 & 17271.9 & 0.987875 & 0.920559 \tabularnewline
23 & 17351 & 17823.4 & 17422.2 & 1.02303 & 0.973495 \tabularnewline
24 & 18964 & 20985.1 & 17763.9 & 1.18134 & 0.903687 \tabularnewline
25 & 19315 & 20466.6 & 18050.2 & 1.13387 & 0.943735 \tabularnewline
26 & 16022 & 18202.6 & 18227.1 & 0.998657 & 0.880204 \tabularnewline
27 & 16369 & 17731.8 & 18458 & 0.960656 & 0.923144 \tabularnewline
28 & 12093 & 14453 & 18798.3 & 0.768845 & 0.836712 \tabularnewline
29 & 24222 & 19932.5 & 19261.2 & 1.03485 & 1.2152 \tabularnewline
30 & 27800 & 23254.9 & 19861.4 & 1.17086 & 1.19545 \tabularnewline
31 & 19631 & 20126.9 & 20530.1 & 0.980359 & 0.975362 \tabularnewline
32 & 17004 & 17952.3 & 21225.1 & 0.845804 & 0.947177 \tabularnewline
33 & 18649 & 20018.7 & 21905.7 & 0.913857 & 0.931581 \tabularnewline
34 & 20613 & 22191.3 & 22463.6 & 0.987875 & 0.928879 \tabularnewline
35 & 23555 & 23384.5 & 22858.1 & 1.02303 & 1.00729 \tabularnewline
36 & 27164 & 27405.2 & 23198.5 & 1.18134 & 0.991198 \tabularnewline
37 & 27164 & 26938.1 & 23757.7 & 1.13387 & 1.00839 \tabularnewline
38 & 24853 & 24393.6 & 24426.4 & 0.998657 & 1.01883 \tabularnewline
39 & 23871 & 24002.6 & 24985.7 & 0.960656 & 0.994516 \tabularnewline
40 & 17982 & 19618.7 & 25517.1 & 0.768845 & 0.916574 \tabularnewline
41 & 27800 & 26985.2 & 26076.4 & 1.03485 & 1.03019 \tabularnewline
42 & 32391 & 31217.8 & 26662.3 & 1.17086 & 1.03758 \tabularnewline
43 & 28462 & 26618.6 & 27151.9 & 0.980359 & 1.06925 \tabularnewline
44 & 24222 & 23311.2 & 27561 & 0.845804 & 1.03907 \tabularnewline
45 & 24853 & 25624.6 & 28040.1 & 0.913857 & 0.969887 \tabularnewline
46 & 27164 & 28239.8 & 28586.4 & 0.987875 & 0.961906 \tabularnewline
47 & 30426 & 29733.3 & 29064 & 1.02303 & 1.0233 \tabularnewline
48 & 34355 & 34801.8 & 29459.7 & 1.18134 & 0.987161 \tabularnewline
49 & 31724 & 33867.2 & 29868.7 & 1.13387 & 0.936718 \tabularnewline
50 & 30111 & 30237.1 & 30277.8 & 0.998657 & 0.995829 \tabularnewline
51 & 30111 & 29506 & 30714.5 & 0.960656 & 1.0205 \tabularnewline
52 & 24853 & 24065.1 & 31300.4 & 0.768845 & 1.03274 \tabularnewline
53 & 32391 & 33082.3 & 31968.2 & 1.03485 & 0.979103 \tabularnewline
54 & 37297 & 38133 & 32568.4 & 1.17086 & 0.978077 \tabularnewline
55 & 33373 & 32489.9 & 33140.8 & 0.980359 & 1.02718 \tabularnewline
56 & 29129 & 28422.3 & 33603.9 & 0.845804 & 1.02486 \tabularnewline
57 & 30426 & 30995 & 33916.7 & 0.913857 & 0.981642 \tabularnewline
58 & 35653 & 33667.2 & 34080.4 & 0.987875 & 1.05898 \tabularnewline
59 & 37964 & 34823.3 & 34039.5 & 1.02303 & 1.09019 \tabularnewline
60 & 41222 & 40082.6 & 33929.8 & 1.18134 & 1.02843 \tabularnewline
61 & 38595 & 38271.5 & 33753 & 1.13387 & 1.00845 \tabularnewline
62 & 34355 & 33462.6 & 33507.6 & 0.998657 & 1.02667 \tabularnewline
63 & 33373 & 32071.5 & 33385 & 0.960656 & 1.04058 \tabularnewline
64 & 25520 & 25594.9 & 33290.1 & 0.768845 & 0.997073 \tabularnewline
65 & 30742 & 34266 & 33112 & 1.03485 & 0.897158 \tabularnewline
66 & 36315 & 38641.3 & 33002.5 & 1.17086 & 0.939797 \tabularnewline
67 & 30111 & 32328.5 & 32976.2 & 0.980359 & 0.931407 \tabularnewline
68 & 26502 & 27787.6 & 32853.5 & 0.845804 & 0.953735 \tabularnewline
69 & 30111 & 29885.8 & 32702.9 & 0.913857 & 1.00754 \tabularnewline
70 & 33689 & 32293.4 & 32689.7 & 0.987875 & 1.04322 \tabularnewline
71 & 35653 & 33499.4 & 32745.3 & 1.02303 & 1.06429 \tabularnewline
72 & 40906 & 38700.6 & 32760 & 1.18134 & 1.05699 \tabularnewline
73 & 38280 & 37160.4 & 32773.1 & 1.13387 & 1.03013 \tabularnewline
74 & 31724 & 32782.9 & 32827 & 0.998657 & 0.967699 \tabularnewline
75 & 32391 & 31574.6 & 32867.7 & 0.960656 & 1.02586 \tabularnewline
76 & 26186 & 25301.6 & 32908.6 & 0.768845 & 1.03495 \tabularnewline
77 & 31409 & 33999.5 & 32854.5 & 1.03485 & 0.923806 \tabularnewline
78 & 36000 & 38403.2 & 32799.2 & 1.17086 & 0.937421 \tabularnewline
79 & 30742 & 32261.1 & 32907.5 & 0.980359 & 0.952911 \tabularnewline
80 & 27164 & 28018.6 & 33126.5 & 0.845804 & 0.9695 \tabularnewline
81 & 30426 & 30510.3 & 33386.3 & 0.913857 & 0.997235 \tabularnewline
82 & 34355 & 33196.3 & 33603.8 & 0.987875 & 1.0349 \tabularnewline
83 & 33689 & 34529.9 & 33752.6 & 1.02303 & 0.975647 \tabularnewline
84 & 41542 & 40097.7 & 33942.6 & 1.18134 & 1.03602 \tabularnewline
85 & 40244 & 38811.2 & 34229 & 1.13387 & 1.03692 \tabularnewline
86 & 35017 & 34510 & 34556.5 & 0.998657 & 1.01469 \tabularnewline
87 & 35333 & 33602.5 & 34978.7 & 0.960656 & 1.0515 \tabularnewline
88 & 28462 & 27239.1 & 35428.5 & 0.768845 & 1.0449 \tabularnewline
89 & 32706 & 37016.9 & 35770.2 & 1.03485 & 0.883543 \tabularnewline
90 & 39262 & 42329.9 & 36152.8 & 1.17086 & 0.927525 \tabularnewline
91 & 34355 & 35870.8 & 36589.5 & 0.980359 & 0.957743 \tabularnewline
92 & 31409 & 31247.8 & 36944.5 & 0.845804 & 1.00516 \tabularnewline
93 & 36315 & 33986.4 & 37190 & 0.913857 & 1.06852 \tabularnewline
94 & 39262 & 36873.5 & 37326.1 & 0.987875 & 1.06478 \tabularnewline
95 & 36982 & 38297.8 & 37435.7 & 1.02303 & 0.965643 \tabularnewline
96 & 47431 & 44225.8 & 37437 & 1.18134 & 1.07247 \tabularnewline
97 & 44835 & 42325.8 & 37328.7 & 1.13387 & 1.05928 \tabularnewline
98 & 38946 & 37292.8 & 37342.9 & 0.998657 & 1.04433 \tabularnewline
99 & 37297 & 36030.8 & 37506.4 & 0.960656 & 1.03514 \tabularnewline
100 & 29764 & 28982.7 & 37696.4 & 0.768845 & 1.02696 \tabularnewline
101 & 34035 & 39235.4 & 37914 & 1.03485 & 0.867457 \tabularnewline
102 & 37964 & 44726.9 & 38200.1 & 1.17086 & 0.848795 \tabularnewline
103 & 33053 & 37756.2 & 38512.7 & 0.980359 & 0.875432 \tabularnewline
104 & 33053 & 32838.6 & 38825.3 & 0.845804 & 1.00653 \tabularnewline
105 & 38595 & 35754.5 & 39124.8 & 0.913857 & 1.07945 \tabularnewline
106 & 41542 & 38892.9 & 39370.2 & 0.987875 & 1.06811 \tabularnewline
107 & 39924 & 40444.2 & 39533.7 & 1.02303 & 0.987139 \tabularnewline
108 & 51355 & 46894.4 & 39696 & 1.18134 & 1.09512 \tabularnewline
109 & 48413 & 45301.7 & 39953.2 & 1.13387 & 1.06868 \tabularnewline
110 & 42871 & 40156.7 & 40210.7 & 0.998657 & 1.06759 \tabularnewline
111 & 40560 & 38798.7 & 40387.7 & 0.960656 & 1.0454 \tabularnewline
112 & 32391 & 31188.8 & 40565.8 & 0.768845 & 1.03854 \tabularnewline
113 & 35333 & 42092.9 & 40675.2 & 1.03485 & 0.839406 \tabularnewline
114 & 40560 & 47561.7 & 40621.2 & 1.17086 & 0.852787 \tabularnewline
115 & 36631 & NA & NA & 0.980359 & NA \tabularnewline
116 & 35653 & NA & NA & 0.845804 & NA \tabularnewline
117 & 40244 & NA & NA & 0.913857 & NA \tabularnewline
118 & 44168 & NA & NA & 0.987875 & NA \tabularnewline
119 & 39924 & NA & NA & 1.02303 & NA \tabularnewline
120 & 50057 & NA & NA & 1.18134 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295927&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]14724[/C][C]NA[/C][C]NA[/C][C]1.13387[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]14404[/C][C]NA[/C][C]NA[/C][C]0.998657[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]14058[/C][C]NA[/C][C]NA[/C][C]0.960656[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]13427[/C][C]NA[/C][C]NA[/C][C]0.768845[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]19946[/C][C]NA[/C][C]NA[/C][C]1.03485[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]19631[/C][C]NA[/C][C]NA[/C][C]1.17086[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]14724[/C][C]13912.4[/C][C]14191.2[/C][C]0.980359[/C][C]1.05833[/C][/ROW]
[ROW][C]8[/C][C]11462[/C][C]11933.9[/C][C]14109.5[/C][C]0.845804[/C][C]0.960457[/C][/ROW]
[ROW][C]9[/C][C]11778[/C][C]12758.1[/C][C]13960.7[/C][C]0.913857[/C][C]0.923181[/C][/ROW]
[ROW][C]10[/C][C]11778[/C][C]13616.7[/C][C]13783.8[/C][C]0.987875[/C][C]0.864969[/C][/ROW]
[ROW][C]11[/C][C]12093[/C][C]14072.8[/C][C]13756[/C][C]1.02303[/C][C]0.859316[/C][/ROW]
[ROW][C]12[/C][C]12760[/C][C]16459.5[/C][C]13932.9[/C][C]1.18134[/C][C]0.775237[/C][/ROW]
[ROW][C]13[/C][C]13742[/C][C]16091.2[/C][C]14191.4[/C][C]1.13387[/C][C]0.854007[/C][/ROW]
[ROW][C]14[/C][C]13427[/C][C]14430.5[/C][C]14449.9[/C][C]0.998657[/C][C]0.930459[/C][/ROW]
[ROW][C]15[/C][C]11462[/C][C]14156.4[/C][C]14736.2[/C][C]0.960656[/C][C]0.809668[/C][/ROW]
[ROW][C]16[/C][C]11778[/C][C]11571.3[/C][C]15050.3[/C][C]0.768845[/C][C]1.01786[/C][/ROW]
[ROW][C]17[/C][C]20929[/C][C]15971[/C][C]15433.1[/C][C]1.03485[/C][C]1.31044[/C][/ROW]
[ROW][C]18[/C][C]22893[/C][C]18629.2[/C][C]15910.7[/C][C]1.17086[/C][C]1.22888[/C][/ROW]
[ROW][C]19[/C][C]17666[/C][C]16079.2[/C][C]16401.4[/C][C]0.980359[/C][C]1.09868[/C][/ROW]
[ROW][C]20[/C][C]14724[/C][C]14160.2[/C][C]16741.7[/C][C]0.845804[/C][C]1.03982[/C][/ROW]
[ROW][C]21[/C][C]15387[/C][C]15585.2[/C][C]17054.3[/C][C]0.913857[/C][C]0.987283[/C][/ROW]
[ROW][C]22[/C][C]15707[/C][C]17062.5[/C][C]17271.9[/C][C]0.987875[/C][C]0.920559[/C][/ROW]
[ROW][C]23[/C][C]17351[/C][C]17823.4[/C][C]17422.2[/C][C]1.02303[/C][C]0.973495[/C][/ROW]
[ROW][C]24[/C][C]18964[/C][C]20985.1[/C][C]17763.9[/C][C]1.18134[/C][C]0.903687[/C][/ROW]
[ROW][C]25[/C][C]19315[/C][C]20466.6[/C][C]18050.2[/C][C]1.13387[/C][C]0.943735[/C][/ROW]
[ROW][C]26[/C][C]16022[/C][C]18202.6[/C][C]18227.1[/C][C]0.998657[/C][C]0.880204[/C][/ROW]
[ROW][C]27[/C][C]16369[/C][C]17731.8[/C][C]18458[/C][C]0.960656[/C][C]0.923144[/C][/ROW]
[ROW][C]28[/C][C]12093[/C][C]14453[/C][C]18798.3[/C][C]0.768845[/C][C]0.836712[/C][/ROW]
[ROW][C]29[/C][C]24222[/C][C]19932.5[/C][C]19261.2[/C][C]1.03485[/C][C]1.2152[/C][/ROW]
[ROW][C]30[/C][C]27800[/C][C]23254.9[/C][C]19861.4[/C][C]1.17086[/C][C]1.19545[/C][/ROW]
[ROW][C]31[/C][C]19631[/C][C]20126.9[/C][C]20530.1[/C][C]0.980359[/C][C]0.975362[/C][/ROW]
[ROW][C]32[/C][C]17004[/C][C]17952.3[/C][C]21225.1[/C][C]0.845804[/C][C]0.947177[/C][/ROW]
[ROW][C]33[/C][C]18649[/C][C]20018.7[/C][C]21905.7[/C][C]0.913857[/C][C]0.931581[/C][/ROW]
[ROW][C]34[/C][C]20613[/C][C]22191.3[/C][C]22463.6[/C][C]0.987875[/C][C]0.928879[/C][/ROW]
[ROW][C]35[/C][C]23555[/C][C]23384.5[/C][C]22858.1[/C][C]1.02303[/C][C]1.00729[/C][/ROW]
[ROW][C]36[/C][C]27164[/C][C]27405.2[/C][C]23198.5[/C][C]1.18134[/C][C]0.991198[/C][/ROW]
[ROW][C]37[/C][C]27164[/C][C]26938.1[/C][C]23757.7[/C][C]1.13387[/C][C]1.00839[/C][/ROW]
[ROW][C]38[/C][C]24853[/C][C]24393.6[/C][C]24426.4[/C][C]0.998657[/C][C]1.01883[/C][/ROW]
[ROW][C]39[/C][C]23871[/C][C]24002.6[/C][C]24985.7[/C][C]0.960656[/C][C]0.994516[/C][/ROW]
[ROW][C]40[/C][C]17982[/C][C]19618.7[/C][C]25517.1[/C][C]0.768845[/C][C]0.916574[/C][/ROW]
[ROW][C]41[/C][C]27800[/C][C]26985.2[/C][C]26076.4[/C][C]1.03485[/C][C]1.03019[/C][/ROW]
[ROW][C]42[/C][C]32391[/C][C]31217.8[/C][C]26662.3[/C][C]1.17086[/C][C]1.03758[/C][/ROW]
[ROW][C]43[/C][C]28462[/C][C]26618.6[/C][C]27151.9[/C][C]0.980359[/C][C]1.06925[/C][/ROW]
[ROW][C]44[/C][C]24222[/C][C]23311.2[/C][C]27561[/C][C]0.845804[/C][C]1.03907[/C][/ROW]
[ROW][C]45[/C][C]24853[/C][C]25624.6[/C][C]28040.1[/C][C]0.913857[/C][C]0.969887[/C][/ROW]
[ROW][C]46[/C][C]27164[/C][C]28239.8[/C][C]28586.4[/C][C]0.987875[/C][C]0.961906[/C][/ROW]
[ROW][C]47[/C][C]30426[/C][C]29733.3[/C][C]29064[/C][C]1.02303[/C][C]1.0233[/C][/ROW]
[ROW][C]48[/C][C]34355[/C][C]34801.8[/C][C]29459.7[/C][C]1.18134[/C][C]0.987161[/C][/ROW]
[ROW][C]49[/C][C]31724[/C][C]33867.2[/C][C]29868.7[/C][C]1.13387[/C][C]0.936718[/C][/ROW]
[ROW][C]50[/C][C]30111[/C][C]30237.1[/C][C]30277.8[/C][C]0.998657[/C][C]0.995829[/C][/ROW]
[ROW][C]51[/C][C]30111[/C][C]29506[/C][C]30714.5[/C][C]0.960656[/C][C]1.0205[/C][/ROW]
[ROW][C]52[/C][C]24853[/C][C]24065.1[/C][C]31300.4[/C][C]0.768845[/C][C]1.03274[/C][/ROW]
[ROW][C]53[/C][C]32391[/C][C]33082.3[/C][C]31968.2[/C][C]1.03485[/C][C]0.979103[/C][/ROW]
[ROW][C]54[/C][C]37297[/C][C]38133[/C][C]32568.4[/C][C]1.17086[/C][C]0.978077[/C][/ROW]
[ROW][C]55[/C][C]33373[/C][C]32489.9[/C][C]33140.8[/C][C]0.980359[/C][C]1.02718[/C][/ROW]
[ROW][C]56[/C][C]29129[/C][C]28422.3[/C][C]33603.9[/C][C]0.845804[/C][C]1.02486[/C][/ROW]
[ROW][C]57[/C][C]30426[/C][C]30995[/C][C]33916.7[/C][C]0.913857[/C][C]0.981642[/C][/ROW]
[ROW][C]58[/C][C]35653[/C][C]33667.2[/C][C]34080.4[/C][C]0.987875[/C][C]1.05898[/C][/ROW]
[ROW][C]59[/C][C]37964[/C][C]34823.3[/C][C]34039.5[/C][C]1.02303[/C][C]1.09019[/C][/ROW]
[ROW][C]60[/C][C]41222[/C][C]40082.6[/C][C]33929.8[/C][C]1.18134[/C][C]1.02843[/C][/ROW]
[ROW][C]61[/C][C]38595[/C][C]38271.5[/C][C]33753[/C][C]1.13387[/C][C]1.00845[/C][/ROW]
[ROW][C]62[/C][C]34355[/C][C]33462.6[/C][C]33507.6[/C][C]0.998657[/C][C]1.02667[/C][/ROW]
[ROW][C]63[/C][C]33373[/C][C]32071.5[/C][C]33385[/C][C]0.960656[/C][C]1.04058[/C][/ROW]
[ROW][C]64[/C][C]25520[/C][C]25594.9[/C][C]33290.1[/C][C]0.768845[/C][C]0.997073[/C][/ROW]
[ROW][C]65[/C][C]30742[/C][C]34266[/C][C]33112[/C][C]1.03485[/C][C]0.897158[/C][/ROW]
[ROW][C]66[/C][C]36315[/C][C]38641.3[/C][C]33002.5[/C][C]1.17086[/C][C]0.939797[/C][/ROW]
[ROW][C]67[/C][C]30111[/C][C]32328.5[/C][C]32976.2[/C][C]0.980359[/C][C]0.931407[/C][/ROW]
[ROW][C]68[/C][C]26502[/C][C]27787.6[/C][C]32853.5[/C][C]0.845804[/C][C]0.953735[/C][/ROW]
[ROW][C]69[/C][C]30111[/C][C]29885.8[/C][C]32702.9[/C][C]0.913857[/C][C]1.00754[/C][/ROW]
[ROW][C]70[/C][C]33689[/C][C]32293.4[/C][C]32689.7[/C][C]0.987875[/C][C]1.04322[/C][/ROW]
[ROW][C]71[/C][C]35653[/C][C]33499.4[/C][C]32745.3[/C][C]1.02303[/C][C]1.06429[/C][/ROW]
[ROW][C]72[/C][C]40906[/C][C]38700.6[/C][C]32760[/C][C]1.18134[/C][C]1.05699[/C][/ROW]
[ROW][C]73[/C][C]38280[/C][C]37160.4[/C][C]32773.1[/C][C]1.13387[/C][C]1.03013[/C][/ROW]
[ROW][C]74[/C][C]31724[/C][C]32782.9[/C][C]32827[/C][C]0.998657[/C][C]0.967699[/C][/ROW]
[ROW][C]75[/C][C]32391[/C][C]31574.6[/C][C]32867.7[/C][C]0.960656[/C][C]1.02586[/C][/ROW]
[ROW][C]76[/C][C]26186[/C][C]25301.6[/C][C]32908.6[/C][C]0.768845[/C][C]1.03495[/C][/ROW]
[ROW][C]77[/C][C]31409[/C][C]33999.5[/C][C]32854.5[/C][C]1.03485[/C][C]0.923806[/C][/ROW]
[ROW][C]78[/C][C]36000[/C][C]38403.2[/C][C]32799.2[/C][C]1.17086[/C][C]0.937421[/C][/ROW]
[ROW][C]79[/C][C]30742[/C][C]32261.1[/C][C]32907.5[/C][C]0.980359[/C][C]0.952911[/C][/ROW]
[ROW][C]80[/C][C]27164[/C][C]28018.6[/C][C]33126.5[/C][C]0.845804[/C][C]0.9695[/C][/ROW]
[ROW][C]81[/C][C]30426[/C][C]30510.3[/C][C]33386.3[/C][C]0.913857[/C][C]0.997235[/C][/ROW]
[ROW][C]82[/C][C]34355[/C][C]33196.3[/C][C]33603.8[/C][C]0.987875[/C][C]1.0349[/C][/ROW]
[ROW][C]83[/C][C]33689[/C][C]34529.9[/C][C]33752.6[/C][C]1.02303[/C][C]0.975647[/C][/ROW]
[ROW][C]84[/C][C]41542[/C][C]40097.7[/C][C]33942.6[/C][C]1.18134[/C][C]1.03602[/C][/ROW]
[ROW][C]85[/C][C]40244[/C][C]38811.2[/C][C]34229[/C][C]1.13387[/C][C]1.03692[/C][/ROW]
[ROW][C]86[/C][C]35017[/C][C]34510[/C][C]34556.5[/C][C]0.998657[/C][C]1.01469[/C][/ROW]
[ROW][C]87[/C][C]35333[/C][C]33602.5[/C][C]34978.7[/C][C]0.960656[/C][C]1.0515[/C][/ROW]
[ROW][C]88[/C][C]28462[/C][C]27239.1[/C][C]35428.5[/C][C]0.768845[/C][C]1.0449[/C][/ROW]
[ROW][C]89[/C][C]32706[/C][C]37016.9[/C][C]35770.2[/C][C]1.03485[/C][C]0.883543[/C][/ROW]
[ROW][C]90[/C][C]39262[/C][C]42329.9[/C][C]36152.8[/C][C]1.17086[/C][C]0.927525[/C][/ROW]
[ROW][C]91[/C][C]34355[/C][C]35870.8[/C][C]36589.5[/C][C]0.980359[/C][C]0.957743[/C][/ROW]
[ROW][C]92[/C][C]31409[/C][C]31247.8[/C][C]36944.5[/C][C]0.845804[/C][C]1.00516[/C][/ROW]
[ROW][C]93[/C][C]36315[/C][C]33986.4[/C][C]37190[/C][C]0.913857[/C][C]1.06852[/C][/ROW]
[ROW][C]94[/C][C]39262[/C][C]36873.5[/C][C]37326.1[/C][C]0.987875[/C][C]1.06478[/C][/ROW]
[ROW][C]95[/C][C]36982[/C][C]38297.8[/C][C]37435.7[/C][C]1.02303[/C][C]0.965643[/C][/ROW]
[ROW][C]96[/C][C]47431[/C][C]44225.8[/C][C]37437[/C][C]1.18134[/C][C]1.07247[/C][/ROW]
[ROW][C]97[/C][C]44835[/C][C]42325.8[/C][C]37328.7[/C][C]1.13387[/C][C]1.05928[/C][/ROW]
[ROW][C]98[/C][C]38946[/C][C]37292.8[/C][C]37342.9[/C][C]0.998657[/C][C]1.04433[/C][/ROW]
[ROW][C]99[/C][C]37297[/C][C]36030.8[/C][C]37506.4[/C][C]0.960656[/C][C]1.03514[/C][/ROW]
[ROW][C]100[/C][C]29764[/C][C]28982.7[/C][C]37696.4[/C][C]0.768845[/C][C]1.02696[/C][/ROW]
[ROW][C]101[/C][C]34035[/C][C]39235.4[/C][C]37914[/C][C]1.03485[/C][C]0.867457[/C][/ROW]
[ROW][C]102[/C][C]37964[/C][C]44726.9[/C][C]38200.1[/C][C]1.17086[/C][C]0.848795[/C][/ROW]
[ROW][C]103[/C][C]33053[/C][C]37756.2[/C][C]38512.7[/C][C]0.980359[/C][C]0.875432[/C][/ROW]
[ROW][C]104[/C][C]33053[/C][C]32838.6[/C][C]38825.3[/C][C]0.845804[/C][C]1.00653[/C][/ROW]
[ROW][C]105[/C][C]38595[/C][C]35754.5[/C][C]39124.8[/C][C]0.913857[/C][C]1.07945[/C][/ROW]
[ROW][C]106[/C][C]41542[/C][C]38892.9[/C][C]39370.2[/C][C]0.987875[/C][C]1.06811[/C][/ROW]
[ROW][C]107[/C][C]39924[/C][C]40444.2[/C][C]39533.7[/C][C]1.02303[/C][C]0.987139[/C][/ROW]
[ROW][C]108[/C][C]51355[/C][C]46894.4[/C][C]39696[/C][C]1.18134[/C][C]1.09512[/C][/ROW]
[ROW][C]109[/C][C]48413[/C][C]45301.7[/C][C]39953.2[/C][C]1.13387[/C][C]1.06868[/C][/ROW]
[ROW][C]110[/C][C]42871[/C][C]40156.7[/C][C]40210.7[/C][C]0.998657[/C][C]1.06759[/C][/ROW]
[ROW][C]111[/C][C]40560[/C][C]38798.7[/C][C]40387.7[/C][C]0.960656[/C][C]1.0454[/C][/ROW]
[ROW][C]112[/C][C]32391[/C][C]31188.8[/C][C]40565.8[/C][C]0.768845[/C][C]1.03854[/C][/ROW]
[ROW][C]113[/C][C]35333[/C][C]42092.9[/C][C]40675.2[/C][C]1.03485[/C][C]0.839406[/C][/ROW]
[ROW][C]114[/C][C]40560[/C][C]47561.7[/C][C]40621.2[/C][C]1.17086[/C][C]0.852787[/C][/ROW]
[ROW][C]115[/C][C]36631[/C][C]NA[/C][C]NA[/C][C]0.980359[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]35653[/C][C]NA[/C][C]NA[/C][C]0.845804[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]40244[/C][C]NA[/C][C]NA[/C][C]0.913857[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]44168[/C][C]NA[/C][C]NA[/C][C]0.987875[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]39924[/C][C]NA[/C][C]NA[/C][C]1.02303[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]50057[/C][C]NA[/C][C]NA[/C][C]1.18134[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295927&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295927&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
tObservationsFitTrendSeasonalRandom
114724NANA1.13387NA
214404NANA0.998657NA
314058NANA0.960656NA
413427NANA0.768845NA
519946NANA1.03485NA
619631NANA1.17086NA
71472413912.414191.20.9803591.05833
81146211933.914109.50.8458040.960457
91177812758.113960.70.9138570.923181
101177813616.713783.80.9878750.864969
111209314072.8137561.023030.859316
121276016459.513932.91.181340.775237
131374216091.214191.41.133870.854007
141342714430.514449.90.9986570.930459
151146214156.414736.20.9606560.809668
161177811571.315050.30.7688451.01786
17209291597115433.11.034851.31044
182289318629.215910.71.170861.22888
191766616079.216401.40.9803591.09868
201472414160.216741.70.8458041.03982
211538715585.217054.30.9138570.987283
221570717062.517271.90.9878750.920559
231735117823.417422.21.023030.973495
241896420985.117763.91.181340.903687
251931520466.618050.21.133870.943735
261602218202.618227.10.9986570.880204
271636917731.8184580.9606560.923144
28120931445318798.30.7688450.836712
292422219932.519261.21.034851.2152
302780023254.919861.41.170861.19545
311963120126.920530.10.9803590.975362
321700417952.321225.10.8458040.947177
331864920018.721905.70.9138570.931581
342061322191.322463.60.9878750.928879
352355523384.522858.11.023031.00729
362716427405.223198.51.181340.991198
372716426938.123757.71.133871.00839
382485324393.624426.40.9986571.01883
392387124002.624985.70.9606560.994516
401798219618.725517.10.7688450.916574
412780026985.226076.41.034851.03019
423239131217.826662.31.170861.03758
432846226618.627151.90.9803591.06925
442422223311.2275610.8458041.03907
452485325624.628040.10.9138570.969887
462716428239.828586.40.9878750.961906
473042629733.3290641.023031.0233
483435534801.829459.71.181340.987161
493172433867.229868.71.133870.936718
503011130237.130277.80.9986570.995829
51301112950630714.50.9606561.0205
522485324065.131300.40.7688451.03274
533239133082.331968.21.034850.979103
54372973813332568.41.170860.978077
553337332489.933140.80.9803591.02718
562912928422.333603.90.8458041.02486
57304263099533916.70.9138570.981642
583565333667.234080.40.9878751.05898
593796434823.334039.51.023031.09019
604122240082.633929.81.181341.02843
613859538271.5337531.133871.00845
623435533462.633507.60.9986571.02667
633337332071.5333850.9606561.04058
642552025594.933290.10.7688450.997073
653074234266331121.034850.897158
663631538641.333002.51.170860.939797
673011132328.532976.20.9803590.931407
682650227787.632853.50.8458040.953735
693011129885.832702.90.9138571.00754
703368932293.432689.70.9878751.04322
713565333499.432745.31.023031.06429
724090638700.6327601.181341.05699
733828037160.432773.11.133871.03013
743172432782.9328270.9986570.967699
753239131574.632867.70.9606561.02586
762618625301.632908.60.7688451.03495
773140933999.532854.51.034850.923806
783600038403.232799.21.170860.937421
793074232261.132907.50.9803590.952911
802716428018.633126.50.8458040.9695
813042630510.333386.30.9138570.997235
823435533196.333603.80.9878751.0349
833368934529.933752.61.023030.975647
844154240097.733942.61.181341.03602
854024438811.2342291.133871.03692
86350173451034556.50.9986571.01469
873533333602.534978.70.9606561.0515
882846227239.135428.50.7688451.0449
893270637016.935770.21.034850.883543
903926242329.936152.81.170860.927525
913435535870.836589.50.9803590.957743
923140931247.836944.50.8458041.00516
933631533986.4371900.9138571.06852
943926236873.537326.10.9878751.06478
953698238297.837435.71.023030.965643
964743144225.8374371.181341.07247
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1104287140156.740210.70.9986571.06759
1114056038798.740387.70.9606561.0454
1123239131188.840565.80.7688451.03854
1133533342092.940675.21.034850.839406
1144056047561.740621.21.170860.852787
11536631NANA0.980359NA
11635653NANA0.845804NA
11740244NANA0.913857NA
11844168NANA0.987875NA
11939924NANA1.02303NA
12050057NANA1.18134NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')