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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 27 May 2009 15:59:50 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/May/28/t1243461651slewxj5571i0mm2.htm/, Retrieved Mon, 06 May 2024 03:21:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40524, Retrieved Mon, 06 May 2024 03:21:13 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Additive decompos...] [2009-01-15 18:45:37] [a18c43c8b63fa6800a53bb187b9ddd45]
-    D    [Classical Decomposition] [Maxime Jonckheere...] [2009-05-27 21:59:50] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
66.2
66.2
66.2
66.08
66.31
66.39
66.37
66.23
66.27
66.27
66.27
66.28
66.28
66.28
66.26
66.13
65.86
65.9
65.94
65.94
65.91
65.95
65.91
66.08
66.47
66.47
66.56
66.78
67.08
67.28
67.27
67.27
67.26
67.37
67.5
67.63
67.64
67.64
67.71
67.87
67.93
68.33
68.39
68.39
68.58
68.44
68.49
68.52
68.54
68.54
68.54
68.62
68.75
68.71
68.72
68.72
68.72
68.92
68.9
69.12
69.09
69.09
69.1
69.16
68.83
68.52
68.53
68.53
68.51
68.38
68.44
68.41
68.42
68.42
68.45
68.63
68.84
68.72
68.37
68.37
68.47
68.69
68.46
68.17
68.17




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40524&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40524&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40524&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
166.2NANA0.030671296296297NA
266.2NANA0.00192129629629948NA
366.2NANA0.00178240740740835NA
466.08NANA0.0646990740740723NA
566.31NANA0.0493518518518569NA
666.39NANA0.0493518518518522NA
766.3766.242268518518566.2591666666667-0.01689814814814440.127731481481476
866.2366.257754629629666.2658333333333-0.00807870370370563-0.0277546296296265
966.2766.230740740740766.2716666666667-0.04092592592592640.0392592592592536
1066.2766.221782407407466.27625-0.0544675925925950.048217592592593
1166.2766.196296296296366.2595833333333-0.06328703703704090.0737037037036998
1266.2866.206296296296366.2204166666667-0.01412037037037390.073703703703714
1366.2866.212754629629666.18208333333330.0306712962962970.0672453703703724
1466.2866.154004629629666.15208333333330.001921296296299480.125995370370362
1566.2666.126782407407466.1250.001782407407408350.133217592592601
1666.1366.161365740740766.09666666666670.0646990740740723-0.0313657407407391
1765.8666.117685185185266.06833333333330.0493518518518569-0.257685185185181
1865.966.094351851851966.0450.0493518518518522-0.194351851851849
1965.9466.027685185185266.0445833333333-0.0168981481481444-0.0876851851851796
2065.9466.05233796296366.0604166666667-0.00807870370370563-0.112337962962968
2165.9166.039907407407466.0808333333333-0.0409259259259264-0.129907407407401
2265.9566.06594907407466.1204166666667-0.054467592592595-0.115949074074052
2365.9166.135046296296366.1983333333333-0.0632870370370409-0.225046296296298
2466.0866.292546296296366.3066666666667-0.0141203703703739-0.212546296296281
2566.4766.450254629629666.41958333333330.0306712962962970.0197453703703729
2666.4766.53233796296366.53041666666670.00192129629629948-0.062337962962971
2766.5666.643865740740766.64208333333330.00178240740740835-0.083865740740734
2866.7866.822199074074166.75750.0646990740740723-0.0421990740740625
2967.0866.932268518518566.88291666666670.04935185185185690.147731481481486
3067.2867.063101851851867.013750.04935185185185220.216898148148161
3167.2767.110185185185267.1270833333333-0.01689814814814440.159814814814823
3267.2767.216504629629667.2245833333333-0.008078703703705630.0534953703703707
3367.2667.28032407407467.32125-0.0409259259259264-0.020324074074054
3467.3767.360115740740767.4145833333333-0.0544675925925950.00988425925926606
3567.567.432129629629667.4954166666667-0.06328703703704090.0678703703703576
3667.6367.56046296296367.5745833333333-0.01412037037037390.069537037037037
3767.6467.695671296296367.6650.030671296296297-0.055671296296282
3867.6467.760254629629667.75833333333330.00192129629629948-0.120254629629628
3967.7167.861782407407467.860.00178240740740835-0.15178240740741
4067.8768.024282407407467.95958333333330.0646990740740723-0.154282407407408
4167.9368.094768518518568.04541666666670.0493518518518569-0.164768518518514
4268.3368.173101851851968.123750.04935185185185220.156898148148144
4368.3968.181435185185268.1983333333333-0.01689814814814440.208564814814807
4468.3968.265254629629668.2733333333333-0.008078703703705630.124745370370377
4568.5868.304490740740768.3454166666667-0.04092592592592640.275509259259252
4668.4468.356782407407468.41125-0.0544675925925950.0832175925925895
4768.4968.413379629629668.4766666666667-0.06328703703704090.076620370370378
4868.5268.512546296296368.5266666666667-0.01412037037037390.00745370370370324
4968.5468.586921296296368.556250.030671296296297-0.0469212962962899
5068.5468.585671296296368.583750.00192129629629948-0.0456712962962911
5168.5468.605115740740768.60333333333330.00178240740740835-0.0651157407407226
5268.6268.693865740740768.62916666666670.0646990740740723-0.0738657407407288
5368.7568.715601851851868.666250.04935185185185690.0343981481481563
5468.7168.757685185185268.70833333333330.0493518518518522-0.0476851851851876
5568.7268.739351851851968.75625-0.0168981481481444-0.0193518518518658
5668.7268.794004629629668.8020833333333-0.00807870370370563-0.0740046296296413
5768.7268.807407407407468.8483333333333-0.0409259259259264-0.0874074074074116
5868.9268.839699074074168.8941666666667-0.0544675925925950.0803009259259397
5968.968.85671296296368.92-0.06328703703704090.0432870370370608
6069.1268.901296296296368.9154166666667-0.01412037037037390.218703703703724
6169.0968.930254629629668.89958333333330.0306712962962970.159745370370388
6269.0968.885671296296368.883750.001921296296299480.204328703703709
6369.168.868865740740768.86708333333330.001782407407408350.231134259259264
6469.1668.900532407407468.83583333333330.06469907407407230.259467592592586
6568.8368.843518518518568.79416666666670.0493518518518569-0.0135185185185236
6668.5268.794768518518568.74541666666670.0493518518518522-0.274768518518528
6768.5368.671018518518568.6879166666667-0.0168981481481444-0.141018518518521
6868.5368.624004629629668.6320833333333-0.00807870370370563-0.094004629629623
6968.5168.536157407407468.5770833333333-0.0409259259259264-0.0261574074073820
7068.3868.47344907407468.5279166666667-0.054467592592595-0.0934490740740586
7168.4468.44296296296368.50625-0.0632870370370409-0.00296296296295395
7268.4168.500879629629668.515-0.0141203703703739-0.090879629629626
7368.4268.54733796296368.51666666666670.030671296296297-0.127337962962955
7468.4268.505254629629668.50333333333330.00192129629629948-0.085254629629631
7568.4568.496782407407468.4950.00178240740740835-0.0467824074074059
7668.6368.57094907407468.506250.06469907407407230.0590509259259306
7768.8468.569351851851868.520.04935185185185690.270648148148169
7868.7268.560185185185268.51083333333330.04935185185185220.159814814814823
7968.3768.473518518518568.4904166666666-0.0168981481481444-0.103518518518499
8068.37NANA-0.00807870370370563NA
8168.47NANA-0.0409259259259264NA
8268.69NANA-0.054467592592595NA
8368.46NANA-0.0632870370370409NA
8468.17NANA-0.0141203703703739NA
8568.17NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 66.2 & NA & NA & 0.030671296296297 & NA \tabularnewline
2 & 66.2 & NA & NA & 0.00192129629629948 & NA \tabularnewline
3 & 66.2 & NA & NA & 0.00178240740740835 & NA \tabularnewline
4 & 66.08 & NA & NA & 0.0646990740740723 & NA \tabularnewline
5 & 66.31 & NA & NA & 0.0493518518518569 & NA \tabularnewline
6 & 66.39 & NA & NA & 0.0493518518518522 & NA \tabularnewline
7 & 66.37 & 66.2422685185185 & 66.2591666666667 & -0.0168981481481444 & 0.127731481481476 \tabularnewline
8 & 66.23 & 66.2577546296296 & 66.2658333333333 & -0.00807870370370563 & -0.0277546296296265 \tabularnewline
9 & 66.27 & 66.2307407407407 & 66.2716666666667 & -0.0409259259259264 & 0.0392592592592536 \tabularnewline
10 & 66.27 & 66.2217824074074 & 66.27625 & -0.054467592592595 & 0.048217592592593 \tabularnewline
11 & 66.27 & 66.1962962962963 & 66.2595833333333 & -0.0632870370370409 & 0.0737037037036998 \tabularnewline
12 & 66.28 & 66.2062962962963 & 66.2204166666667 & -0.0141203703703739 & 0.073703703703714 \tabularnewline
13 & 66.28 & 66.2127546296296 & 66.1820833333333 & 0.030671296296297 & 0.0672453703703724 \tabularnewline
14 & 66.28 & 66.1540046296296 & 66.1520833333333 & 0.00192129629629948 & 0.125995370370362 \tabularnewline
15 & 66.26 & 66.1267824074074 & 66.125 & 0.00178240740740835 & 0.133217592592601 \tabularnewline
16 & 66.13 & 66.1613657407407 & 66.0966666666667 & 0.0646990740740723 & -0.0313657407407391 \tabularnewline
17 & 65.86 & 66.1176851851852 & 66.0683333333333 & 0.0493518518518569 & -0.257685185185181 \tabularnewline
18 & 65.9 & 66.0943518518519 & 66.045 & 0.0493518518518522 & -0.194351851851849 \tabularnewline
19 & 65.94 & 66.0276851851852 & 66.0445833333333 & -0.0168981481481444 & -0.0876851851851796 \tabularnewline
20 & 65.94 & 66.052337962963 & 66.0604166666667 & -0.00807870370370563 & -0.112337962962968 \tabularnewline
21 & 65.91 & 66.0399074074074 & 66.0808333333333 & -0.0409259259259264 & -0.129907407407401 \tabularnewline
22 & 65.95 & 66.065949074074 & 66.1204166666667 & -0.054467592592595 & -0.115949074074052 \tabularnewline
23 & 65.91 & 66.1350462962963 & 66.1983333333333 & -0.0632870370370409 & -0.225046296296298 \tabularnewline
24 & 66.08 & 66.2925462962963 & 66.3066666666667 & -0.0141203703703739 & -0.212546296296281 \tabularnewline
25 & 66.47 & 66.4502546296296 & 66.4195833333333 & 0.030671296296297 & 0.0197453703703729 \tabularnewline
26 & 66.47 & 66.532337962963 & 66.5304166666667 & 0.00192129629629948 & -0.062337962962971 \tabularnewline
27 & 66.56 & 66.6438657407407 & 66.6420833333333 & 0.00178240740740835 & -0.083865740740734 \tabularnewline
28 & 66.78 & 66.8221990740741 & 66.7575 & 0.0646990740740723 & -0.0421990740740625 \tabularnewline
29 & 67.08 & 66.9322685185185 & 66.8829166666667 & 0.0493518518518569 & 0.147731481481486 \tabularnewline
30 & 67.28 & 67.0631018518518 & 67.01375 & 0.0493518518518522 & 0.216898148148161 \tabularnewline
31 & 67.27 & 67.1101851851852 & 67.1270833333333 & -0.0168981481481444 & 0.159814814814823 \tabularnewline
32 & 67.27 & 67.2165046296296 & 67.2245833333333 & -0.00807870370370563 & 0.0534953703703707 \tabularnewline
33 & 67.26 & 67.280324074074 & 67.32125 & -0.0409259259259264 & -0.020324074074054 \tabularnewline
34 & 67.37 & 67.3601157407407 & 67.4145833333333 & -0.054467592592595 & 0.00988425925926606 \tabularnewline
35 & 67.5 & 67.4321296296296 & 67.4954166666667 & -0.0632870370370409 & 0.0678703703703576 \tabularnewline
36 & 67.63 & 67.560462962963 & 67.5745833333333 & -0.0141203703703739 & 0.069537037037037 \tabularnewline
37 & 67.64 & 67.6956712962963 & 67.665 & 0.030671296296297 & -0.055671296296282 \tabularnewline
38 & 67.64 & 67.7602546296296 & 67.7583333333333 & 0.00192129629629948 & -0.120254629629628 \tabularnewline
39 & 67.71 & 67.8617824074074 & 67.86 & 0.00178240740740835 & -0.15178240740741 \tabularnewline
40 & 67.87 & 68.0242824074074 & 67.9595833333333 & 0.0646990740740723 & -0.154282407407408 \tabularnewline
41 & 67.93 & 68.0947685185185 & 68.0454166666667 & 0.0493518518518569 & -0.164768518518514 \tabularnewline
42 & 68.33 & 68.1731018518519 & 68.12375 & 0.0493518518518522 & 0.156898148148144 \tabularnewline
43 & 68.39 & 68.1814351851852 & 68.1983333333333 & -0.0168981481481444 & 0.208564814814807 \tabularnewline
44 & 68.39 & 68.2652546296296 & 68.2733333333333 & -0.00807870370370563 & 0.124745370370377 \tabularnewline
45 & 68.58 & 68.3044907407407 & 68.3454166666667 & -0.0409259259259264 & 0.275509259259252 \tabularnewline
46 & 68.44 & 68.3567824074074 & 68.41125 & -0.054467592592595 & 0.0832175925925895 \tabularnewline
47 & 68.49 & 68.4133796296296 & 68.4766666666667 & -0.0632870370370409 & 0.076620370370378 \tabularnewline
48 & 68.52 & 68.5125462962963 & 68.5266666666667 & -0.0141203703703739 & 0.00745370370370324 \tabularnewline
49 & 68.54 & 68.5869212962963 & 68.55625 & 0.030671296296297 & -0.0469212962962899 \tabularnewline
50 & 68.54 & 68.5856712962963 & 68.58375 & 0.00192129629629948 & -0.0456712962962911 \tabularnewline
51 & 68.54 & 68.6051157407407 & 68.6033333333333 & 0.00178240740740835 & -0.0651157407407226 \tabularnewline
52 & 68.62 & 68.6938657407407 & 68.6291666666667 & 0.0646990740740723 & -0.0738657407407288 \tabularnewline
53 & 68.75 & 68.7156018518518 & 68.66625 & 0.0493518518518569 & 0.0343981481481563 \tabularnewline
54 & 68.71 & 68.7576851851852 & 68.7083333333333 & 0.0493518518518522 & -0.0476851851851876 \tabularnewline
55 & 68.72 & 68.7393518518519 & 68.75625 & -0.0168981481481444 & -0.0193518518518658 \tabularnewline
56 & 68.72 & 68.7940046296296 & 68.8020833333333 & -0.00807870370370563 & -0.0740046296296413 \tabularnewline
57 & 68.72 & 68.8074074074074 & 68.8483333333333 & -0.0409259259259264 & -0.0874074074074116 \tabularnewline
58 & 68.92 & 68.8396990740741 & 68.8941666666667 & -0.054467592592595 & 0.0803009259259397 \tabularnewline
59 & 68.9 & 68.856712962963 & 68.92 & -0.0632870370370409 & 0.0432870370370608 \tabularnewline
60 & 69.12 & 68.9012962962963 & 68.9154166666667 & -0.0141203703703739 & 0.218703703703724 \tabularnewline
61 & 69.09 & 68.9302546296296 & 68.8995833333333 & 0.030671296296297 & 0.159745370370388 \tabularnewline
62 & 69.09 & 68.8856712962963 & 68.88375 & 0.00192129629629948 & 0.204328703703709 \tabularnewline
63 & 69.1 & 68.8688657407407 & 68.8670833333333 & 0.00178240740740835 & 0.231134259259264 \tabularnewline
64 & 69.16 & 68.9005324074074 & 68.8358333333333 & 0.0646990740740723 & 0.259467592592586 \tabularnewline
65 & 68.83 & 68.8435185185185 & 68.7941666666667 & 0.0493518518518569 & -0.0135185185185236 \tabularnewline
66 & 68.52 & 68.7947685185185 & 68.7454166666667 & 0.0493518518518522 & -0.274768518518528 \tabularnewline
67 & 68.53 & 68.6710185185185 & 68.6879166666667 & -0.0168981481481444 & -0.141018518518521 \tabularnewline
68 & 68.53 & 68.6240046296296 & 68.6320833333333 & -0.00807870370370563 & -0.094004629629623 \tabularnewline
69 & 68.51 & 68.5361574074074 & 68.5770833333333 & -0.0409259259259264 & -0.0261574074073820 \tabularnewline
70 & 68.38 & 68.473449074074 & 68.5279166666667 & -0.054467592592595 & -0.0934490740740586 \tabularnewline
71 & 68.44 & 68.442962962963 & 68.50625 & -0.0632870370370409 & -0.00296296296295395 \tabularnewline
72 & 68.41 & 68.5008796296296 & 68.515 & -0.0141203703703739 & -0.090879629629626 \tabularnewline
73 & 68.42 & 68.547337962963 & 68.5166666666667 & 0.030671296296297 & -0.127337962962955 \tabularnewline
74 & 68.42 & 68.5052546296296 & 68.5033333333333 & 0.00192129629629948 & -0.085254629629631 \tabularnewline
75 & 68.45 & 68.4967824074074 & 68.495 & 0.00178240740740835 & -0.0467824074074059 \tabularnewline
76 & 68.63 & 68.570949074074 & 68.50625 & 0.0646990740740723 & 0.0590509259259306 \tabularnewline
77 & 68.84 & 68.5693518518518 & 68.52 & 0.0493518518518569 & 0.270648148148169 \tabularnewline
78 & 68.72 & 68.5601851851852 & 68.5108333333333 & 0.0493518518518522 & 0.159814814814823 \tabularnewline
79 & 68.37 & 68.4735185185185 & 68.4904166666666 & -0.0168981481481444 & -0.103518518518499 \tabularnewline
80 & 68.37 & NA & NA & -0.00807870370370563 & NA \tabularnewline
81 & 68.47 & NA & NA & -0.0409259259259264 & NA \tabularnewline
82 & 68.69 & NA & NA & -0.054467592592595 & NA \tabularnewline
83 & 68.46 & NA & NA & -0.0632870370370409 & NA \tabularnewline
84 & 68.17 & NA & NA & -0.0141203703703739 & NA \tabularnewline
85 & 68.17 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40524&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]66.2[/C][C]NA[/C][C]NA[/C][C]0.030671296296297[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]66.2[/C][C]NA[/C][C]NA[/C][C]0.00192129629629948[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]66.2[/C][C]NA[/C][C]NA[/C][C]0.00178240740740835[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]66.08[/C][C]NA[/C][C]NA[/C][C]0.0646990740740723[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]66.31[/C][C]NA[/C][C]NA[/C][C]0.0493518518518569[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]66.39[/C][C]NA[/C][C]NA[/C][C]0.0493518518518522[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]66.37[/C][C]66.2422685185185[/C][C]66.2591666666667[/C][C]-0.0168981481481444[/C][C]0.127731481481476[/C][/ROW]
[ROW][C]8[/C][C]66.23[/C][C]66.2577546296296[/C][C]66.2658333333333[/C][C]-0.00807870370370563[/C][C]-0.0277546296296265[/C][/ROW]
[ROW][C]9[/C][C]66.27[/C][C]66.2307407407407[/C][C]66.2716666666667[/C][C]-0.0409259259259264[/C][C]0.0392592592592536[/C][/ROW]
[ROW][C]10[/C][C]66.27[/C][C]66.2217824074074[/C][C]66.27625[/C][C]-0.054467592592595[/C][C]0.048217592592593[/C][/ROW]
[ROW][C]11[/C][C]66.27[/C][C]66.1962962962963[/C][C]66.2595833333333[/C][C]-0.0632870370370409[/C][C]0.0737037037036998[/C][/ROW]
[ROW][C]12[/C][C]66.28[/C][C]66.2062962962963[/C][C]66.2204166666667[/C][C]-0.0141203703703739[/C][C]0.073703703703714[/C][/ROW]
[ROW][C]13[/C][C]66.28[/C][C]66.2127546296296[/C][C]66.1820833333333[/C][C]0.030671296296297[/C][C]0.0672453703703724[/C][/ROW]
[ROW][C]14[/C][C]66.28[/C][C]66.1540046296296[/C][C]66.1520833333333[/C][C]0.00192129629629948[/C][C]0.125995370370362[/C][/ROW]
[ROW][C]15[/C][C]66.26[/C][C]66.1267824074074[/C][C]66.125[/C][C]0.00178240740740835[/C][C]0.133217592592601[/C][/ROW]
[ROW][C]16[/C][C]66.13[/C][C]66.1613657407407[/C][C]66.0966666666667[/C][C]0.0646990740740723[/C][C]-0.0313657407407391[/C][/ROW]
[ROW][C]17[/C][C]65.86[/C][C]66.1176851851852[/C][C]66.0683333333333[/C][C]0.0493518518518569[/C][C]-0.257685185185181[/C][/ROW]
[ROW][C]18[/C][C]65.9[/C][C]66.0943518518519[/C][C]66.045[/C][C]0.0493518518518522[/C][C]-0.194351851851849[/C][/ROW]
[ROW][C]19[/C][C]65.94[/C][C]66.0276851851852[/C][C]66.0445833333333[/C][C]-0.0168981481481444[/C][C]-0.0876851851851796[/C][/ROW]
[ROW][C]20[/C][C]65.94[/C][C]66.052337962963[/C][C]66.0604166666667[/C][C]-0.00807870370370563[/C][C]-0.112337962962968[/C][/ROW]
[ROW][C]21[/C][C]65.91[/C][C]66.0399074074074[/C][C]66.0808333333333[/C][C]-0.0409259259259264[/C][C]-0.129907407407401[/C][/ROW]
[ROW][C]22[/C][C]65.95[/C][C]66.065949074074[/C][C]66.1204166666667[/C][C]-0.054467592592595[/C][C]-0.115949074074052[/C][/ROW]
[ROW][C]23[/C][C]65.91[/C][C]66.1350462962963[/C][C]66.1983333333333[/C][C]-0.0632870370370409[/C][C]-0.225046296296298[/C][/ROW]
[ROW][C]24[/C][C]66.08[/C][C]66.2925462962963[/C][C]66.3066666666667[/C][C]-0.0141203703703739[/C][C]-0.212546296296281[/C][/ROW]
[ROW][C]25[/C][C]66.47[/C][C]66.4502546296296[/C][C]66.4195833333333[/C][C]0.030671296296297[/C][C]0.0197453703703729[/C][/ROW]
[ROW][C]26[/C][C]66.47[/C][C]66.532337962963[/C][C]66.5304166666667[/C][C]0.00192129629629948[/C][C]-0.062337962962971[/C][/ROW]
[ROW][C]27[/C][C]66.56[/C][C]66.6438657407407[/C][C]66.6420833333333[/C][C]0.00178240740740835[/C][C]-0.083865740740734[/C][/ROW]
[ROW][C]28[/C][C]66.78[/C][C]66.8221990740741[/C][C]66.7575[/C][C]0.0646990740740723[/C][C]-0.0421990740740625[/C][/ROW]
[ROW][C]29[/C][C]67.08[/C][C]66.9322685185185[/C][C]66.8829166666667[/C][C]0.0493518518518569[/C][C]0.147731481481486[/C][/ROW]
[ROW][C]30[/C][C]67.28[/C][C]67.0631018518518[/C][C]67.01375[/C][C]0.0493518518518522[/C][C]0.216898148148161[/C][/ROW]
[ROW][C]31[/C][C]67.27[/C][C]67.1101851851852[/C][C]67.1270833333333[/C][C]-0.0168981481481444[/C][C]0.159814814814823[/C][/ROW]
[ROW][C]32[/C][C]67.27[/C][C]67.2165046296296[/C][C]67.2245833333333[/C][C]-0.00807870370370563[/C][C]0.0534953703703707[/C][/ROW]
[ROW][C]33[/C][C]67.26[/C][C]67.280324074074[/C][C]67.32125[/C][C]-0.0409259259259264[/C][C]-0.020324074074054[/C][/ROW]
[ROW][C]34[/C][C]67.37[/C][C]67.3601157407407[/C][C]67.4145833333333[/C][C]-0.054467592592595[/C][C]0.00988425925926606[/C][/ROW]
[ROW][C]35[/C][C]67.5[/C][C]67.4321296296296[/C][C]67.4954166666667[/C][C]-0.0632870370370409[/C][C]0.0678703703703576[/C][/ROW]
[ROW][C]36[/C][C]67.63[/C][C]67.560462962963[/C][C]67.5745833333333[/C][C]-0.0141203703703739[/C][C]0.069537037037037[/C][/ROW]
[ROW][C]37[/C][C]67.64[/C][C]67.6956712962963[/C][C]67.665[/C][C]0.030671296296297[/C][C]-0.055671296296282[/C][/ROW]
[ROW][C]38[/C][C]67.64[/C][C]67.7602546296296[/C][C]67.7583333333333[/C][C]0.00192129629629948[/C][C]-0.120254629629628[/C][/ROW]
[ROW][C]39[/C][C]67.71[/C][C]67.8617824074074[/C][C]67.86[/C][C]0.00178240740740835[/C][C]-0.15178240740741[/C][/ROW]
[ROW][C]40[/C][C]67.87[/C][C]68.0242824074074[/C][C]67.9595833333333[/C][C]0.0646990740740723[/C][C]-0.154282407407408[/C][/ROW]
[ROW][C]41[/C][C]67.93[/C][C]68.0947685185185[/C][C]68.0454166666667[/C][C]0.0493518518518569[/C][C]-0.164768518518514[/C][/ROW]
[ROW][C]42[/C][C]68.33[/C][C]68.1731018518519[/C][C]68.12375[/C][C]0.0493518518518522[/C][C]0.156898148148144[/C][/ROW]
[ROW][C]43[/C][C]68.39[/C][C]68.1814351851852[/C][C]68.1983333333333[/C][C]-0.0168981481481444[/C][C]0.208564814814807[/C][/ROW]
[ROW][C]44[/C][C]68.39[/C][C]68.2652546296296[/C][C]68.2733333333333[/C][C]-0.00807870370370563[/C][C]0.124745370370377[/C][/ROW]
[ROW][C]45[/C][C]68.58[/C][C]68.3044907407407[/C][C]68.3454166666667[/C][C]-0.0409259259259264[/C][C]0.275509259259252[/C][/ROW]
[ROW][C]46[/C][C]68.44[/C][C]68.3567824074074[/C][C]68.41125[/C][C]-0.054467592592595[/C][C]0.0832175925925895[/C][/ROW]
[ROW][C]47[/C][C]68.49[/C][C]68.4133796296296[/C][C]68.4766666666667[/C][C]-0.0632870370370409[/C][C]0.076620370370378[/C][/ROW]
[ROW][C]48[/C][C]68.52[/C][C]68.5125462962963[/C][C]68.5266666666667[/C][C]-0.0141203703703739[/C][C]0.00745370370370324[/C][/ROW]
[ROW][C]49[/C][C]68.54[/C][C]68.5869212962963[/C][C]68.55625[/C][C]0.030671296296297[/C][C]-0.0469212962962899[/C][/ROW]
[ROW][C]50[/C][C]68.54[/C][C]68.5856712962963[/C][C]68.58375[/C][C]0.00192129629629948[/C][C]-0.0456712962962911[/C][/ROW]
[ROW][C]51[/C][C]68.54[/C][C]68.6051157407407[/C][C]68.6033333333333[/C][C]0.00178240740740835[/C][C]-0.0651157407407226[/C][/ROW]
[ROW][C]52[/C][C]68.62[/C][C]68.6938657407407[/C][C]68.6291666666667[/C][C]0.0646990740740723[/C][C]-0.0738657407407288[/C][/ROW]
[ROW][C]53[/C][C]68.75[/C][C]68.7156018518518[/C][C]68.66625[/C][C]0.0493518518518569[/C][C]0.0343981481481563[/C][/ROW]
[ROW][C]54[/C][C]68.71[/C][C]68.7576851851852[/C][C]68.7083333333333[/C][C]0.0493518518518522[/C][C]-0.0476851851851876[/C][/ROW]
[ROW][C]55[/C][C]68.72[/C][C]68.7393518518519[/C][C]68.75625[/C][C]-0.0168981481481444[/C][C]-0.0193518518518658[/C][/ROW]
[ROW][C]56[/C][C]68.72[/C][C]68.7940046296296[/C][C]68.8020833333333[/C][C]-0.00807870370370563[/C][C]-0.0740046296296413[/C][/ROW]
[ROW][C]57[/C][C]68.72[/C][C]68.8074074074074[/C][C]68.8483333333333[/C][C]-0.0409259259259264[/C][C]-0.0874074074074116[/C][/ROW]
[ROW][C]58[/C][C]68.92[/C][C]68.8396990740741[/C][C]68.8941666666667[/C][C]-0.054467592592595[/C][C]0.0803009259259397[/C][/ROW]
[ROW][C]59[/C][C]68.9[/C][C]68.856712962963[/C][C]68.92[/C][C]-0.0632870370370409[/C][C]0.0432870370370608[/C][/ROW]
[ROW][C]60[/C][C]69.12[/C][C]68.9012962962963[/C][C]68.9154166666667[/C][C]-0.0141203703703739[/C][C]0.218703703703724[/C][/ROW]
[ROW][C]61[/C][C]69.09[/C][C]68.9302546296296[/C][C]68.8995833333333[/C][C]0.030671296296297[/C][C]0.159745370370388[/C][/ROW]
[ROW][C]62[/C][C]69.09[/C][C]68.8856712962963[/C][C]68.88375[/C][C]0.00192129629629948[/C][C]0.204328703703709[/C][/ROW]
[ROW][C]63[/C][C]69.1[/C][C]68.8688657407407[/C][C]68.8670833333333[/C][C]0.00178240740740835[/C][C]0.231134259259264[/C][/ROW]
[ROW][C]64[/C][C]69.16[/C][C]68.9005324074074[/C][C]68.8358333333333[/C][C]0.0646990740740723[/C][C]0.259467592592586[/C][/ROW]
[ROW][C]65[/C][C]68.83[/C][C]68.8435185185185[/C][C]68.7941666666667[/C][C]0.0493518518518569[/C][C]-0.0135185185185236[/C][/ROW]
[ROW][C]66[/C][C]68.52[/C][C]68.7947685185185[/C][C]68.7454166666667[/C][C]0.0493518518518522[/C][C]-0.274768518518528[/C][/ROW]
[ROW][C]67[/C][C]68.53[/C][C]68.6710185185185[/C][C]68.6879166666667[/C][C]-0.0168981481481444[/C][C]-0.141018518518521[/C][/ROW]
[ROW][C]68[/C][C]68.53[/C][C]68.6240046296296[/C][C]68.6320833333333[/C][C]-0.00807870370370563[/C][C]-0.094004629629623[/C][/ROW]
[ROW][C]69[/C][C]68.51[/C][C]68.5361574074074[/C][C]68.5770833333333[/C][C]-0.0409259259259264[/C][C]-0.0261574074073820[/C][/ROW]
[ROW][C]70[/C][C]68.38[/C][C]68.473449074074[/C][C]68.5279166666667[/C][C]-0.054467592592595[/C][C]-0.0934490740740586[/C][/ROW]
[ROW][C]71[/C][C]68.44[/C][C]68.442962962963[/C][C]68.50625[/C][C]-0.0632870370370409[/C][C]-0.00296296296295395[/C][/ROW]
[ROW][C]72[/C][C]68.41[/C][C]68.5008796296296[/C][C]68.515[/C][C]-0.0141203703703739[/C][C]-0.090879629629626[/C][/ROW]
[ROW][C]73[/C][C]68.42[/C][C]68.547337962963[/C][C]68.5166666666667[/C][C]0.030671296296297[/C][C]-0.127337962962955[/C][/ROW]
[ROW][C]74[/C][C]68.42[/C][C]68.5052546296296[/C][C]68.5033333333333[/C][C]0.00192129629629948[/C][C]-0.085254629629631[/C][/ROW]
[ROW][C]75[/C][C]68.45[/C][C]68.4967824074074[/C][C]68.495[/C][C]0.00178240740740835[/C][C]-0.0467824074074059[/C][/ROW]
[ROW][C]76[/C][C]68.63[/C][C]68.570949074074[/C][C]68.50625[/C][C]0.0646990740740723[/C][C]0.0590509259259306[/C][/ROW]
[ROW][C]77[/C][C]68.84[/C][C]68.5693518518518[/C][C]68.52[/C][C]0.0493518518518569[/C][C]0.270648148148169[/C][/ROW]
[ROW][C]78[/C][C]68.72[/C][C]68.5601851851852[/C][C]68.5108333333333[/C][C]0.0493518518518522[/C][C]0.159814814814823[/C][/ROW]
[ROW][C]79[/C][C]68.37[/C][C]68.4735185185185[/C][C]68.4904166666666[/C][C]-0.0168981481481444[/C][C]-0.103518518518499[/C][/ROW]
[ROW][C]80[/C][C]68.37[/C][C]NA[/C][C]NA[/C][C]-0.00807870370370563[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]68.47[/C][C]NA[/C][C]NA[/C][C]-0.0409259259259264[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]68.69[/C][C]NA[/C][C]NA[/C][C]-0.054467592592595[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]68.46[/C][C]NA[/C][C]NA[/C][C]-0.0632870370370409[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]68.17[/C][C]NA[/C][C]NA[/C][C]-0.0141203703703739[/C][C]NA[/C][/ROW]
[ROW][C]85[/C][C]68.17[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40524&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40524&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
166.2NANA0.030671296296297NA
266.2NANA0.00192129629629948NA
366.2NANA0.00178240740740835NA
466.08NANA0.0646990740740723NA
566.31NANA0.0493518518518569NA
666.39NANA0.0493518518518522NA
766.3766.242268518518566.2591666666667-0.01689814814814440.127731481481476
866.2366.257754629629666.2658333333333-0.00807870370370563-0.0277546296296265
966.2766.230740740740766.2716666666667-0.04092592592592640.0392592592592536
1066.2766.221782407407466.27625-0.0544675925925950.048217592592593
1166.2766.196296296296366.2595833333333-0.06328703703704090.0737037037036998
1266.2866.206296296296366.2204166666667-0.01412037037037390.073703703703714
1366.2866.212754629629666.18208333333330.0306712962962970.0672453703703724
1466.2866.154004629629666.15208333333330.001921296296299480.125995370370362
1566.2666.126782407407466.1250.001782407407408350.133217592592601
1666.1366.161365740740766.09666666666670.0646990740740723-0.0313657407407391
1765.8666.117685185185266.06833333333330.0493518518518569-0.257685185185181
1865.966.094351851851966.0450.0493518518518522-0.194351851851849
1965.9466.027685185185266.0445833333333-0.0168981481481444-0.0876851851851796
2065.9466.05233796296366.0604166666667-0.00807870370370563-0.112337962962968
2165.9166.039907407407466.0808333333333-0.0409259259259264-0.129907407407401
2265.9566.06594907407466.1204166666667-0.054467592592595-0.115949074074052
2365.9166.135046296296366.1983333333333-0.0632870370370409-0.225046296296298
2466.0866.292546296296366.3066666666667-0.0141203703703739-0.212546296296281
2566.4766.450254629629666.41958333333330.0306712962962970.0197453703703729
2666.4766.53233796296366.53041666666670.00192129629629948-0.062337962962971
2766.5666.643865740740766.64208333333330.00178240740740835-0.083865740740734
2866.7866.822199074074166.75750.0646990740740723-0.0421990740740625
2967.0866.932268518518566.88291666666670.04935185185185690.147731481481486
3067.2867.063101851851867.013750.04935185185185220.216898148148161
3167.2767.110185185185267.1270833333333-0.01689814814814440.159814814814823
3267.2767.216504629629667.2245833333333-0.008078703703705630.0534953703703707
3367.2667.28032407407467.32125-0.0409259259259264-0.020324074074054
3467.3767.360115740740767.4145833333333-0.0544675925925950.00988425925926606
3567.567.432129629629667.4954166666667-0.06328703703704090.0678703703703576
3667.6367.56046296296367.5745833333333-0.01412037037037390.069537037037037
3767.6467.695671296296367.6650.030671296296297-0.055671296296282
3867.6467.760254629629667.75833333333330.00192129629629948-0.120254629629628
3967.7167.861782407407467.860.00178240740740835-0.15178240740741
4067.8768.024282407407467.95958333333330.0646990740740723-0.154282407407408
4167.9368.094768518518568.04541666666670.0493518518518569-0.164768518518514
4268.3368.173101851851968.123750.04935185185185220.156898148148144
4368.3968.181435185185268.1983333333333-0.01689814814814440.208564814814807
4468.3968.265254629629668.2733333333333-0.008078703703705630.124745370370377
4568.5868.304490740740768.3454166666667-0.04092592592592640.275509259259252
4668.4468.356782407407468.41125-0.0544675925925950.0832175925925895
4768.4968.413379629629668.4766666666667-0.06328703703704090.076620370370378
4868.5268.512546296296368.5266666666667-0.01412037037037390.00745370370370324
4968.5468.586921296296368.556250.030671296296297-0.0469212962962899
5068.5468.585671296296368.583750.00192129629629948-0.0456712962962911
5168.5468.605115740740768.60333333333330.00178240740740835-0.0651157407407226
5268.6268.693865740740768.62916666666670.0646990740740723-0.0738657407407288
5368.7568.715601851851868.666250.04935185185185690.0343981481481563
5468.7168.757685185185268.70833333333330.0493518518518522-0.0476851851851876
5568.7268.739351851851968.75625-0.0168981481481444-0.0193518518518658
5668.7268.794004629629668.8020833333333-0.00807870370370563-0.0740046296296413
5768.7268.807407407407468.8483333333333-0.0409259259259264-0.0874074074074116
5868.9268.839699074074168.8941666666667-0.0544675925925950.0803009259259397
5968.968.85671296296368.92-0.06328703703704090.0432870370370608
6069.1268.901296296296368.9154166666667-0.01412037037037390.218703703703724
6169.0968.930254629629668.89958333333330.0306712962962970.159745370370388
6269.0968.885671296296368.883750.001921296296299480.204328703703709
6369.168.868865740740768.86708333333330.001782407407408350.231134259259264
6469.1668.900532407407468.83583333333330.06469907407407230.259467592592586
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6668.5268.794768518518568.74541666666670.0493518518518522-0.274768518518528
6768.5368.671018518518568.6879166666667-0.0168981481481444-0.141018518518521
6868.5368.624004629629668.6320833333333-0.00807870370370563-0.094004629629623
6968.5168.536157407407468.5770833333333-0.0409259259259264-0.0261574074073820
7068.3868.47344907407468.5279166666667-0.054467592592595-0.0934490740740586
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7268.4168.500879629629668.515-0.0141203703703739-0.090879629629626
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7468.4268.505254629629668.50333333333330.00192129629629948-0.085254629629631
7568.4568.496782407407468.4950.00178240740740835-0.0467824074074059
7668.6368.57094907407468.506250.06469907407407230.0590509259259306
7768.8468.569351851851868.520.04935185185185690.270648148148169
7868.7268.560185185185268.51083333333330.04935185185185220.159814814814823
7968.3768.473518518518568.4904166666666-0.0168981481481444-0.103518518518499
8068.37NANA-0.00807870370370563NA
8168.47NANA-0.0409259259259264NA
8268.69NANA-0.054467592592595NA
8368.46NANA-0.0632870370370409NA
8468.17NANA-0.0141203703703739NA
8568.17NANANANA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$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')