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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 16 May 2011 15:07:47 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/16/t1305558258f3j9k4im3uvrtmp.htm/, Retrieved Mon, 13 May 2024 11:17:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121630, Retrieved Mon, 13 May 2024 11:17:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W92
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Decompositie Wiss...] [2011-05-16 15:07:47] [8b50cbc1ebd04aa753862408f533fbe8] [Current]
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Dataseries X:
1,2638
1,2640
1,2261
1,1989
1,2000
1,2146
1,2266
1,2191
1,2224
1,2507
1,2997
1,3406
1,3123
1,3013
1,3185
1,2943
1,2697
1,2155
1,2041
1,2295
1,2234
1,2022
1,1789
1,1861
1,2126
1,1940
1,2028
1,2273
1,2767
1,2661
1,2681
1,2810
1,2722
1,2617
1,2888
1,3205
1,2993
1,3080
1,3246
1,3513
1,3518
1,3421
1,3726
1,3626
1,3910
1,4233
1,4683
1,4559
1,4728
1,4759
1,5520
1,5754
1,5554
1,5562
1,5759
1,4955
1,4342
1,3266
1,2744
1,3511
1,3244
1,2797
1,3050
1,3199
1,3646
1,4014
1,4092
1,4266
1,4575
1,4821
1,4908
1,4579
1,4266
1,3680
1,3570
1,3417
1,2563
1,2223
1,2811
1,2903
1,3103
1,3901
1,3654
1,3221




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ 216.218.223.82

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121630&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121630&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121630&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 time4 seconds
R Server'George Udny Yule' @ 216.218.223.82







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11.2638NANA0.00271255787037034NA
21.264NANA-0.0183436921296296NA
31.2261NANA0.00271811342592593NA
41.1989NANA0.00947297453703705NA
51.2NANA0.00214866898148145NA
61.2146NANA-0.00999577546296295NA
71.22661.257668807870371.245895833333330.0117729745370371-0.0310688078703703
81.21911.252357696759261.249470833333330.00288686342592598-0.033257696759259
91.22241.253863946759261.254875-0.00101105324074086-0.0314639467592592
101.25071.250771585648151.2627-0.0119284143518519-7.15856481483534e-05
111.29971.265318113425931.26957916666667-0.004261053240740680.0343818865740741
121.34061.286348668981481.272520833333330.01382783564814810.0542513310185186
131.31231.27433339120371.271620833333330.002712557870370340.0379666087962964
141.30131.252772974537041.27111666666667-0.01834369212962960.0485270254629631
151.31851.274309780092591.271591666666670.002718113425925930.0441902199074076
161.29431.279085474537041.26961250.009472974537037050.0152145254629632
171.26971.264707002314811.262558333333330.002148668981481450.00499299768518546
181.21551.241091724537041.2510875-0.00999577546296295-0.0255917245370367
191.20411.252268807870371.240495833333330.0117729745370371-0.0481688078703704
201.22951.234757696759261.231870833333330.00288686342592598-0.00525769675925924
211.22341.221568113425931.22257916666667-0.001011053240740860.00183188657407407
221.20221.203038252314811.21496666666667-0.0119284143518519-0.000838252314814492
231.17891.208205613425931.21246666666667-0.00426105324074068-0.0293056134259255
241.18611.228694502314811.214866666666670.0138278356481481-0.0425945023148144
251.21261.222354224537041.219641666666670.00271255787037034-0.009754224537037
261.1941.206110474537041.22445416666667-0.0183436921296296-0.0121104745370371
271.20281.231351446759261.228633333333330.00271811342592593-0.0285514467592589
281.22731.242618807870371.233145833333330.00947297453703705-0.0153188078703701
291.27671.242352835648151.240204166666670.002148668981481450.0343471643518518
301.26611.240387557870371.25038333333333-0.009995775462962950.0257124421296298
311.26811.271368807870371.259595833333330.0117729745370371-0.00326880787037021
321.2811.270845196759261.267958333333330.002886863425925980.0101548032407408
331.27221.276772280092591.27778333333333-0.00101105324074086-0.00457228009259225
341.26171.276096585648151.288025-0.0119284143518519-0.0143965856481481
351.28881.292059780092591.29632083333333-0.00426105324074068-0.00325978009259242
361.32051.316444502314811.302616666666670.01382783564814810.00405549768518543
371.29931.312850057870371.31013750.00271255787037034-0.0135500578703704
381.3081.299547974537041.31789166666667-0.01834369212962960.0084520254629632
391.32461.328959780092591.326241666666670.00271811342592593-0.00435978009259252
401.35131.347397974537041.3379250.009472974537037050.00390202546296337
411.35181.354286168981481.35213750.00214866898148145-0.00248616898148124
421.34211.355262557870371.36525833333333-0.00999577546296295-0.01316255787037
431.37261.38990214120371.378129166666670.0117729745370371-0.0173021412037035
441.36261.395241030092591.392354166666670.00288686342592598-0.0326410300925926
451.3911.407813946759261.408825-0.00101105324074086-0.0168139467592592
461.42331.415709085648151.4276375-0.01192841435185190.00759091435185222
471.46831.441197280092591.44545833333333-0.004261053240740680.0271027199074076
481.45591.476690335648151.46286250.0138278356481481-0.0207903356481483
491.47281.482966724537041.480254166666670.00271255787037034-0.0101667245370372
501.47591.475918807870371.4942625-0.0183436921296296-1.8807870370452e-05
511.5521.504318113425931.50160.002718113425925930.0476818865740742
521.57541.508843807870371.499370833333330.009472974537037050.0665561921296296
531.55541.489411168981481.48726250.002148668981481450.0659888310185188
541.55621.46482089120371.47481666666667-0.009995775462962950.0913791087962963
551.57591.47603964120371.464266666666670.01177297453703710.0998603587962963
561.49551.452795196759261.449908333333330.002886863425925980.0427048032407407
571.43421.430430613425931.43144166666667-0.001011053240740860.003769386574074
581.32661.398575752314811.41050416666667-0.0119284143518519-0.0719757523148148
591.27441.387647280092591.39190833333333-0.00426105324074068-0.113247280092593
601.35111.391336168981481.377508333333330.0138278356481481-0.0402361689814814
611.32441.366825057870371.36411250.00271255787037034-0.0424250578703702
621.27971.33595214120371.35429583333333-0.0183436921296296-0.0562521412037036
631.3051.355113946759261.352395833333330.00271811342592593-0.0501139467592595
641.31991.369318807870371.359845833333330.00947297453703705-0.0494188078703703
651.36461.377490335648151.375341666666670.00214866898148145-0.012890335648148
661.40141.378812557870371.38880833333333-0.009995775462962950.0225874421296295
671.40921.40928964120371.397516666666670.0117729745370371-8.96412037036942e-05
681.42661.408341030092591.405454166666670.002886863425925980.0182589699074076
691.45751.410288946759261.4113-0.001011053240740860.0472110532407408
701.48211.402446585648151.414375-0.01192841435185190.0796534143518521
711.49081.406509780092591.41077083333333-0.004261053240740680.0842902199074078
721.45791.412623668981481.398795833333330.01382783564814810.0452763310185189
731.42661.38870839120371.385995833333330.002712557870370340.0378916087962966
741.3681.356635474537041.37497916666667-0.01834369212962960.0113645254629633
751.3571.365884780092591.363166666666670.00271811342592593-0.00888478009259264
761.34171.362672974537041.35320.00947297453703705-0.0209729745370368
771.25631.346290335648151.344141666666670.00214866898148145-0.0899903356481477
781.22231.323262557870371.33325833333333-0.00999577546296295-0.10096255787037
791.2811NANA0.0117729745370371NA
801.2903NANA0.00288686342592598NA
811.3103NANA-0.00101105324074086NA
821.3901NANA-0.0119284143518519NA
831.3654NANA-0.00426105324074068NA
841.3221NANA0.0138278356481481NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1.2638 & NA & NA & 0.00271255787037034 & NA \tabularnewline
2 & 1.264 & NA & NA & -0.0183436921296296 & NA \tabularnewline
3 & 1.2261 & NA & NA & 0.00271811342592593 & NA \tabularnewline
4 & 1.1989 & NA & NA & 0.00947297453703705 & NA \tabularnewline
5 & 1.2 & NA & NA & 0.00214866898148145 & NA \tabularnewline
6 & 1.2146 & NA & NA & -0.00999577546296295 & NA \tabularnewline
7 & 1.2266 & 1.25766880787037 & 1.24589583333333 & 0.0117729745370371 & -0.0310688078703703 \tabularnewline
8 & 1.2191 & 1.25235769675926 & 1.24947083333333 & 0.00288686342592598 & -0.033257696759259 \tabularnewline
9 & 1.2224 & 1.25386394675926 & 1.254875 & -0.00101105324074086 & -0.0314639467592592 \tabularnewline
10 & 1.2507 & 1.25077158564815 & 1.2627 & -0.0119284143518519 & -7.15856481483534e-05 \tabularnewline
11 & 1.2997 & 1.26531811342593 & 1.26957916666667 & -0.00426105324074068 & 0.0343818865740741 \tabularnewline
12 & 1.3406 & 1.28634866898148 & 1.27252083333333 & 0.0138278356481481 & 0.0542513310185186 \tabularnewline
13 & 1.3123 & 1.2743333912037 & 1.27162083333333 & 0.00271255787037034 & 0.0379666087962964 \tabularnewline
14 & 1.3013 & 1.25277297453704 & 1.27111666666667 & -0.0183436921296296 & 0.0485270254629631 \tabularnewline
15 & 1.3185 & 1.27430978009259 & 1.27159166666667 & 0.00271811342592593 & 0.0441902199074076 \tabularnewline
16 & 1.2943 & 1.27908547453704 & 1.2696125 & 0.00947297453703705 & 0.0152145254629632 \tabularnewline
17 & 1.2697 & 1.26470700231481 & 1.26255833333333 & 0.00214866898148145 & 0.00499299768518546 \tabularnewline
18 & 1.2155 & 1.24109172453704 & 1.2510875 & -0.00999577546296295 & -0.0255917245370367 \tabularnewline
19 & 1.2041 & 1.25226880787037 & 1.24049583333333 & 0.0117729745370371 & -0.0481688078703704 \tabularnewline
20 & 1.2295 & 1.23475769675926 & 1.23187083333333 & 0.00288686342592598 & -0.00525769675925924 \tabularnewline
21 & 1.2234 & 1.22156811342593 & 1.22257916666667 & -0.00101105324074086 & 0.00183188657407407 \tabularnewline
22 & 1.2022 & 1.20303825231481 & 1.21496666666667 & -0.0119284143518519 & -0.000838252314814492 \tabularnewline
23 & 1.1789 & 1.20820561342593 & 1.21246666666667 & -0.00426105324074068 & -0.0293056134259255 \tabularnewline
24 & 1.1861 & 1.22869450231481 & 1.21486666666667 & 0.0138278356481481 & -0.0425945023148144 \tabularnewline
25 & 1.2126 & 1.22235422453704 & 1.21964166666667 & 0.00271255787037034 & -0.009754224537037 \tabularnewline
26 & 1.194 & 1.20611047453704 & 1.22445416666667 & -0.0183436921296296 & -0.0121104745370371 \tabularnewline
27 & 1.2028 & 1.23135144675926 & 1.22863333333333 & 0.00271811342592593 & -0.0285514467592589 \tabularnewline
28 & 1.2273 & 1.24261880787037 & 1.23314583333333 & 0.00947297453703705 & -0.0153188078703701 \tabularnewline
29 & 1.2767 & 1.24235283564815 & 1.24020416666667 & 0.00214866898148145 & 0.0343471643518518 \tabularnewline
30 & 1.2661 & 1.24038755787037 & 1.25038333333333 & -0.00999577546296295 & 0.0257124421296298 \tabularnewline
31 & 1.2681 & 1.27136880787037 & 1.25959583333333 & 0.0117729745370371 & -0.00326880787037021 \tabularnewline
32 & 1.281 & 1.27084519675926 & 1.26795833333333 & 0.00288686342592598 & 0.0101548032407408 \tabularnewline
33 & 1.2722 & 1.27677228009259 & 1.27778333333333 & -0.00101105324074086 & -0.00457228009259225 \tabularnewline
34 & 1.2617 & 1.27609658564815 & 1.288025 & -0.0119284143518519 & -0.0143965856481481 \tabularnewline
35 & 1.2888 & 1.29205978009259 & 1.29632083333333 & -0.00426105324074068 & -0.00325978009259242 \tabularnewline
36 & 1.3205 & 1.31644450231481 & 1.30261666666667 & 0.0138278356481481 & 0.00405549768518543 \tabularnewline
37 & 1.2993 & 1.31285005787037 & 1.3101375 & 0.00271255787037034 & -0.0135500578703704 \tabularnewline
38 & 1.308 & 1.29954797453704 & 1.31789166666667 & -0.0183436921296296 & 0.0084520254629632 \tabularnewline
39 & 1.3246 & 1.32895978009259 & 1.32624166666667 & 0.00271811342592593 & -0.00435978009259252 \tabularnewline
40 & 1.3513 & 1.34739797453704 & 1.337925 & 0.00947297453703705 & 0.00390202546296337 \tabularnewline
41 & 1.3518 & 1.35428616898148 & 1.3521375 & 0.00214866898148145 & -0.00248616898148124 \tabularnewline
42 & 1.3421 & 1.35526255787037 & 1.36525833333333 & -0.00999577546296295 & -0.01316255787037 \tabularnewline
43 & 1.3726 & 1.3899021412037 & 1.37812916666667 & 0.0117729745370371 & -0.0173021412037035 \tabularnewline
44 & 1.3626 & 1.39524103009259 & 1.39235416666667 & 0.00288686342592598 & -0.0326410300925926 \tabularnewline
45 & 1.391 & 1.40781394675926 & 1.408825 & -0.00101105324074086 & -0.0168139467592592 \tabularnewline
46 & 1.4233 & 1.41570908564815 & 1.4276375 & -0.0119284143518519 & 0.00759091435185222 \tabularnewline
47 & 1.4683 & 1.44119728009259 & 1.44545833333333 & -0.00426105324074068 & 0.0271027199074076 \tabularnewline
48 & 1.4559 & 1.47669033564815 & 1.4628625 & 0.0138278356481481 & -0.0207903356481483 \tabularnewline
49 & 1.4728 & 1.48296672453704 & 1.48025416666667 & 0.00271255787037034 & -0.0101667245370372 \tabularnewline
50 & 1.4759 & 1.47591880787037 & 1.4942625 & -0.0183436921296296 & -1.8807870370452e-05 \tabularnewline
51 & 1.552 & 1.50431811342593 & 1.5016 & 0.00271811342592593 & 0.0476818865740742 \tabularnewline
52 & 1.5754 & 1.50884380787037 & 1.49937083333333 & 0.00947297453703705 & 0.0665561921296296 \tabularnewline
53 & 1.5554 & 1.48941116898148 & 1.4872625 & 0.00214866898148145 & 0.0659888310185188 \tabularnewline
54 & 1.5562 & 1.4648208912037 & 1.47481666666667 & -0.00999577546296295 & 0.0913791087962963 \tabularnewline
55 & 1.5759 & 1.4760396412037 & 1.46426666666667 & 0.0117729745370371 & 0.0998603587962963 \tabularnewline
56 & 1.4955 & 1.45279519675926 & 1.44990833333333 & 0.00288686342592598 & 0.0427048032407407 \tabularnewline
57 & 1.4342 & 1.43043061342593 & 1.43144166666667 & -0.00101105324074086 & 0.003769386574074 \tabularnewline
58 & 1.3266 & 1.39857575231481 & 1.41050416666667 & -0.0119284143518519 & -0.0719757523148148 \tabularnewline
59 & 1.2744 & 1.38764728009259 & 1.39190833333333 & -0.00426105324074068 & -0.113247280092593 \tabularnewline
60 & 1.3511 & 1.39133616898148 & 1.37750833333333 & 0.0138278356481481 & -0.0402361689814814 \tabularnewline
61 & 1.3244 & 1.36682505787037 & 1.3641125 & 0.00271255787037034 & -0.0424250578703702 \tabularnewline
62 & 1.2797 & 1.3359521412037 & 1.35429583333333 & -0.0183436921296296 & -0.0562521412037036 \tabularnewline
63 & 1.305 & 1.35511394675926 & 1.35239583333333 & 0.00271811342592593 & -0.0501139467592595 \tabularnewline
64 & 1.3199 & 1.36931880787037 & 1.35984583333333 & 0.00947297453703705 & -0.0494188078703703 \tabularnewline
65 & 1.3646 & 1.37749033564815 & 1.37534166666667 & 0.00214866898148145 & -0.012890335648148 \tabularnewline
66 & 1.4014 & 1.37881255787037 & 1.38880833333333 & -0.00999577546296295 & 0.0225874421296295 \tabularnewline
67 & 1.4092 & 1.4092896412037 & 1.39751666666667 & 0.0117729745370371 & -8.96412037036942e-05 \tabularnewline
68 & 1.4266 & 1.40834103009259 & 1.40545416666667 & 0.00288686342592598 & 0.0182589699074076 \tabularnewline
69 & 1.4575 & 1.41028894675926 & 1.4113 & -0.00101105324074086 & 0.0472110532407408 \tabularnewline
70 & 1.4821 & 1.40244658564815 & 1.414375 & -0.0119284143518519 & 0.0796534143518521 \tabularnewline
71 & 1.4908 & 1.40650978009259 & 1.41077083333333 & -0.00426105324074068 & 0.0842902199074078 \tabularnewline
72 & 1.4579 & 1.41262366898148 & 1.39879583333333 & 0.0138278356481481 & 0.0452763310185189 \tabularnewline
73 & 1.4266 & 1.3887083912037 & 1.38599583333333 & 0.00271255787037034 & 0.0378916087962966 \tabularnewline
74 & 1.368 & 1.35663547453704 & 1.37497916666667 & -0.0183436921296296 & 0.0113645254629633 \tabularnewline
75 & 1.357 & 1.36588478009259 & 1.36316666666667 & 0.00271811342592593 & -0.00888478009259264 \tabularnewline
76 & 1.3417 & 1.36267297453704 & 1.3532 & 0.00947297453703705 & -0.0209729745370368 \tabularnewline
77 & 1.2563 & 1.34629033564815 & 1.34414166666667 & 0.00214866898148145 & -0.0899903356481477 \tabularnewline
78 & 1.2223 & 1.32326255787037 & 1.33325833333333 & -0.00999577546296295 & -0.10096255787037 \tabularnewline
79 & 1.2811 & NA & NA & 0.0117729745370371 & NA \tabularnewline
80 & 1.2903 & NA & NA & 0.00288686342592598 & NA \tabularnewline
81 & 1.3103 & NA & NA & -0.00101105324074086 & NA \tabularnewline
82 & 1.3901 & NA & NA & -0.0119284143518519 & NA \tabularnewline
83 & 1.3654 & NA & NA & -0.00426105324074068 & NA \tabularnewline
84 & 1.3221 & NA & NA & 0.0138278356481481 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121630&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]1.2638[/C][C]NA[/C][C]NA[/C][C]0.00271255787037034[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1.264[/C][C]NA[/C][C]NA[/C][C]-0.0183436921296296[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1.2261[/C][C]NA[/C][C]NA[/C][C]0.00271811342592593[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1.1989[/C][C]NA[/C][C]NA[/C][C]0.00947297453703705[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1.2[/C][C]NA[/C][C]NA[/C][C]0.00214866898148145[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1.2146[/C][C]NA[/C][C]NA[/C][C]-0.00999577546296295[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1.2266[/C][C]1.25766880787037[/C][C]1.24589583333333[/C][C]0.0117729745370371[/C][C]-0.0310688078703703[/C][/ROW]
[ROW][C]8[/C][C]1.2191[/C][C]1.25235769675926[/C][C]1.24947083333333[/C][C]0.00288686342592598[/C][C]-0.033257696759259[/C][/ROW]
[ROW][C]9[/C][C]1.2224[/C][C]1.25386394675926[/C][C]1.254875[/C][C]-0.00101105324074086[/C][C]-0.0314639467592592[/C][/ROW]
[ROW][C]10[/C][C]1.2507[/C][C]1.25077158564815[/C][C]1.2627[/C][C]-0.0119284143518519[/C][C]-7.15856481483534e-05[/C][/ROW]
[ROW][C]11[/C][C]1.2997[/C][C]1.26531811342593[/C][C]1.26957916666667[/C][C]-0.00426105324074068[/C][C]0.0343818865740741[/C][/ROW]
[ROW][C]12[/C][C]1.3406[/C][C]1.28634866898148[/C][C]1.27252083333333[/C][C]0.0138278356481481[/C][C]0.0542513310185186[/C][/ROW]
[ROW][C]13[/C][C]1.3123[/C][C]1.2743333912037[/C][C]1.27162083333333[/C][C]0.00271255787037034[/C][C]0.0379666087962964[/C][/ROW]
[ROW][C]14[/C][C]1.3013[/C][C]1.25277297453704[/C][C]1.27111666666667[/C][C]-0.0183436921296296[/C][C]0.0485270254629631[/C][/ROW]
[ROW][C]15[/C][C]1.3185[/C][C]1.27430978009259[/C][C]1.27159166666667[/C][C]0.00271811342592593[/C][C]0.0441902199074076[/C][/ROW]
[ROW][C]16[/C][C]1.2943[/C][C]1.27908547453704[/C][C]1.2696125[/C][C]0.00947297453703705[/C][C]0.0152145254629632[/C][/ROW]
[ROW][C]17[/C][C]1.2697[/C][C]1.26470700231481[/C][C]1.26255833333333[/C][C]0.00214866898148145[/C][C]0.00499299768518546[/C][/ROW]
[ROW][C]18[/C][C]1.2155[/C][C]1.24109172453704[/C][C]1.2510875[/C][C]-0.00999577546296295[/C][C]-0.0255917245370367[/C][/ROW]
[ROW][C]19[/C][C]1.2041[/C][C]1.25226880787037[/C][C]1.24049583333333[/C][C]0.0117729745370371[/C][C]-0.0481688078703704[/C][/ROW]
[ROW][C]20[/C][C]1.2295[/C][C]1.23475769675926[/C][C]1.23187083333333[/C][C]0.00288686342592598[/C][C]-0.00525769675925924[/C][/ROW]
[ROW][C]21[/C][C]1.2234[/C][C]1.22156811342593[/C][C]1.22257916666667[/C][C]-0.00101105324074086[/C][C]0.00183188657407407[/C][/ROW]
[ROW][C]22[/C][C]1.2022[/C][C]1.20303825231481[/C][C]1.21496666666667[/C][C]-0.0119284143518519[/C][C]-0.000838252314814492[/C][/ROW]
[ROW][C]23[/C][C]1.1789[/C][C]1.20820561342593[/C][C]1.21246666666667[/C][C]-0.00426105324074068[/C][C]-0.0293056134259255[/C][/ROW]
[ROW][C]24[/C][C]1.1861[/C][C]1.22869450231481[/C][C]1.21486666666667[/C][C]0.0138278356481481[/C][C]-0.0425945023148144[/C][/ROW]
[ROW][C]25[/C][C]1.2126[/C][C]1.22235422453704[/C][C]1.21964166666667[/C][C]0.00271255787037034[/C][C]-0.009754224537037[/C][/ROW]
[ROW][C]26[/C][C]1.194[/C][C]1.20611047453704[/C][C]1.22445416666667[/C][C]-0.0183436921296296[/C][C]-0.0121104745370371[/C][/ROW]
[ROW][C]27[/C][C]1.2028[/C][C]1.23135144675926[/C][C]1.22863333333333[/C][C]0.00271811342592593[/C][C]-0.0285514467592589[/C][/ROW]
[ROW][C]28[/C][C]1.2273[/C][C]1.24261880787037[/C][C]1.23314583333333[/C][C]0.00947297453703705[/C][C]-0.0153188078703701[/C][/ROW]
[ROW][C]29[/C][C]1.2767[/C][C]1.24235283564815[/C][C]1.24020416666667[/C][C]0.00214866898148145[/C][C]0.0343471643518518[/C][/ROW]
[ROW][C]30[/C][C]1.2661[/C][C]1.24038755787037[/C][C]1.25038333333333[/C][C]-0.00999577546296295[/C][C]0.0257124421296298[/C][/ROW]
[ROW][C]31[/C][C]1.2681[/C][C]1.27136880787037[/C][C]1.25959583333333[/C][C]0.0117729745370371[/C][C]-0.00326880787037021[/C][/ROW]
[ROW][C]32[/C][C]1.281[/C][C]1.27084519675926[/C][C]1.26795833333333[/C][C]0.00288686342592598[/C][C]0.0101548032407408[/C][/ROW]
[ROW][C]33[/C][C]1.2722[/C][C]1.27677228009259[/C][C]1.27778333333333[/C][C]-0.00101105324074086[/C][C]-0.00457228009259225[/C][/ROW]
[ROW][C]34[/C][C]1.2617[/C][C]1.27609658564815[/C][C]1.288025[/C][C]-0.0119284143518519[/C][C]-0.0143965856481481[/C][/ROW]
[ROW][C]35[/C][C]1.2888[/C][C]1.29205978009259[/C][C]1.29632083333333[/C][C]-0.00426105324074068[/C][C]-0.00325978009259242[/C][/ROW]
[ROW][C]36[/C][C]1.3205[/C][C]1.31644450231481[/C][C]1.30261666666667[/C][C]0.0138278356481481[/C][C]0.00405549768518543[/C][/ROW]
[ROW][C]37[/C][C]1.2993[/C][C]1.31285005787037[/C][C]1.3101375[/C][C]0.00271255787037034[/C][C]-0.0135500578703704[/C][/ROW]
[ROW][C]38[/C][C]1.308[/C][C]1.29954797453704[/C][C]1.31789166666667[/C][C]-0.0183436921296296[/C][C]0.0084520254629632[/C][/ROW]
[ROW][C]39[/C][C]1.3246[/C][C]1.32895978009259[/C][C]1.32624166666667[/C][C]0.00271811342592593[/C][C]-0.00435978009259252[/C][/ROW]
[ROW][C]40[/C][C]1.3513[/C][C]1.34739797453704[/C][C]1.337925[/C][C]0.00947297453703705[/C][C]0.00390202546296337[/C][/ROW]
[ROW][C]41[/C][C]1.3518[/C][C]1.35428616898148[/C][C]1.3521375[/C][C]0.00214866898148145[/C][C]-0.00248616898148124[/C][/ROW]
[ROW][C]42[/C][C]1.3421[/C][C]1.35526255787037[/C][C]1.36525833333333[/C][C]-0.00999577546296295[/C][C]-0.01316255787037[/C][/ROW]
[ROW][C]43[/C][C]1.3726[/C][C]1.3899021412037[/C][C]1.37812916666667[/C][C]0.0117729745370371[/C][C]-0.0173021412037035[/C][/ROW]
[ROW][C]44[/C][C]1.3626[/C][C]1.39524103009259[/C][C]1.39235416666667[/C][C]0.00288686342592598[/C][C]-0.0326410300925926[/C][/ROW]
[ROW][C]45[/C][C]1.391[/C][C]1.40781394675926[/C][C]1.408825[/C][C]-0.00101105324074086[/C][C]-0.0168139467592592[/C][/ROW]
[ROW][C]46[/C][C]1.4233[/C][C]1.41570908564815[/C][C]1.4276375[/C][C]-0.0119284143518519[/C][C]0.00759091435185222[/C][/ROW]
[ROW][C]47[/C][C]1.4683[/C][C]1.44119728009259[/C][C]1.44545833333333[/C][C]-0.00426105324074068[/C][C]0.0271027199074076[/C][/ROW]
[ROW][C]48[/C][C]1.4559[/C][C]1.47669033564815[/C][C]1.4628625[/C][C]0.0138278356481481[/C][C]-0.0207903356481483[/C][/ROW]
[ROW][C]49[/C][C]1.4728[/C][C]1.48296672453704[/C][C]1.48025416666667[/C][C]0.00271255787037034[/C][C]-0.0101667245370372[/C][/ROW]
[ROW][C]50[/C][C]1.4759[/C][C]1.47591880787037[/C][C]1.4942625[/C][C]-0.0183436921296296[/C][C]-1.8807870370452e-05[/C][/ROW]
[ROW][C]51[/C][C]1.552[/C][C]1.50431811342593[/C][C]1.5016[/C][C]0.00271811342592593[/C][C]0.0476818865740742[/C][/ROW]
[ROW][C]52[/C][C]1.5754[/C][C]1.50884380787037[/C][C]1.49937083333333[/C][C]0.00947297453703705[/C][C]0.0665561921296296[/C][/ROW]
[ROW][C]53[/C][C]1.5554[/C][C]1.48941116898148[/C][C]1.4872625[/C][C]0.00214866898148145[/C][C]0.0659888310185188[/C][/ROW]
[ROW][C]54[/C][C]1.5562[/C][C]1.4648208912037[/C][C]1.47481666666667[/C][C]-0.00999577546296295[/C][C]0.0913791087962963[/C][/ROW]
[ROW][C]55[/C][C]1.5759[/C][C]1.4760396412037[/C][C]1.46426666666667[/C][C]0.0117729745370371[/C][C]0.0998603587962963[/C][/ROW]
[ROW][C]56[/C][C]1.4955[/C][C]1.45279519675926[/C][C]1.44990833333333[/C][C]0.00288686342592598[/C][C]0.0427048032407407[/C][/ROW]
[ROW][C]57[/C][C]1.4342[/C][C]1.43043061342593[/C][C]1.43144166666667[/C][C]-0.00101105324074086[/C][C]0.003769386574074[/C][/ROW]
[ROW][C]58[/C][C]1.3266[/C][C]1.39857575231481[/C][C]1.41050416666667[/C][C]-0.0119284143518519[/C][C]-0.0719757523148148[/C][/ROW]
[ROW][C]59[/C][C]1.2744[/C][C]1.38764728009259[/C][C]1.39190833333333[/C][C]-0.00426105324074068[/C][C]-0.113247280092593[/C][/ROW]
[ROW][C]60[/C][C]1.3511[/C][C]1.39133616898148[/C][C]1.37750833333333[/C][C]0.0138278356481481[/C][C]-0.0402361689814814[/C][/ROW]
[ROW][C]61[/C][C]1.3244[/C][C]1.36682505787037[/C][C]1.3641125[/C][C]0.00271255787037034[/C][C]-0.0424250578703702[/C][/ROW]
[ROW][C]62[/C][C]1.2797[/C][C]1.3359521412037[/C][C]1.35429583333333[/C][C]-0.0183436921296296[/C][C]-0.0562521412037036[/C][/ROW]
[ROW][C]63[/C][C]1.305[/C][C]1.35511394675926[/C][C]1.35239583333333[/C][C]0.00271811342592593[/C][C]-0.0501139467592595[/C][/ROW]
[ROW][C]64[/C][C]1.3199[/C][C]1.36931880787037[/C][C]1.35984583333333[/C][C]0.00947297453703705[/C][C]-0.0494188078703703[/C][/ROW]
[ROW][C]65[/C][C]1.3646[/C][C]1.37749033564815[/C][C]1.37534166666667[/C][C]0.00214866898148145[/C][C]-0.012890335648148[/C][/ROW]
[ROW][C]66[/C][C]1.4014[/C][C]1.37881255787037[/C][C]1.38880833333333[/C][C]-0.00999577546296295[/C][C]0.0225874421296295[/C][/ROW]
[ROW][C]67[/C][C]1.4092[/C][C]1.4092896412037[/C][C]1.39751666666667[/C][C]0.0117729745370371[/C][C]-8.96412037036942e-05[/C][/ROW]
[ROW][C]68[/C][C]1.4266[/C][C]1.40834103009259[/C][C]1.40545416666667[/C][C]0.00288686342592598[/C][C]0.0182589699074076[/C][/ROW]
[ROW][C]69[/C][C]1.4575[/C][C]1.41028894675926[/C][C]1.4113[/C][C]-0.00101105324074086[/C][C]0.0472110532407408[/C][/ROW]
[ROW][C]70[/C][C]1.4821[/C][C]1.40244658564815[/C][C]1.414375[/C][C]-0.0119284143518519[/C][C]0.0796534143518521[/C][/ROW]
[ROW][C]71[/C][C]1.4908[/C][C]1.40650978009259[/C][C]1.41077083333333[/C][C]-0.00426105324074068[/C][C]0.0842902199074078[/C][/ROW]
[ROW][C]72[/C][C]1.4579[/C][C]1.41262366898148[/C][C]1.39879583333333[/C][C]0.0138278356481481[/C][C]0.0452763310185189[/C][/ROW]
[ROW][C]73[/C][C]1.4266[/C][C]1.3887083912037[/C][C]1.38599583333333[/C][C]0.00271255787037034[/C][C]0.0378916087962966[/C][/ROW]
[ROW][C]74[/C][C]1.368[/C][C]1.35663547453704[/C][C]1.37497916666667[/C][C]-0.0183436921296296[/C][C]0.0113645254629633[/C][/ROW]
[ROW][C]75[/C][C]1.357[/C][C]1.36588478009259[/C][C]1.36316666666667[/C][C]0.00271811342592593[/C][C]-0.00888478009259264[/C][/ROW]
[ROW][C]76[/C][C]1.3417[/C][C]1.36267297453704[/C][C]1.3532[/C][C]0.00947297453703705[/C][C]-0.0209729745370368[/C][/ROW]
[ROW][C]77[/C][C]1.2563[/C][C]1.34629033564815[/C][C]1.34414166666667[/C][C]0.00214866898148145[/C][C]-0.0899903356481477[/C][/ROW]
[ROW][C]78[/C][C]1.2223[/C][C]1.32326255787037[/C][C]1.33325833333333[/C][C]-0.00999577546296295[/C][C]-0.10096255787037[/C][/ROW]
[ROW][C]79[/C][C]1.2811[/C][C]NA[/C][C]NA[/C][C]0.0117729745370371[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]1.2903[/C][C]NA[/C][C]NA[/C][C]0.00288686342592598[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]1.3103[/C][C]NA[/C][C]NA[/C][C]-0.00101105324074086[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]1.3901[/C][C]NA[/C][C]NA[/C][C]-0.0119284143518519[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]1.3654[/C][C]NA[/C][C]NA[/C][C]-0.00426105324074068[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]1.3221[/C][C]NA[/C][C]NA[/C][C]0.0138278356481481[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121630&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121630&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
11.2638NANA0.00271255787037034NA
21.264NANA-0.0183436921296296NA
31.2261NANA0.00271811342592593NA
41.1989NANA0.00947297453703705NA
51.2NANA0.00214866898148145NA
61.2146NANA-0.00999577546296295NA
71.22661.257668807870371.245895833333330.0117729745370371-0.0310688078703703
81.21911.252357696759261.249470833333330.00288686342592598-0.033257696759259
91.22241.253863946759261.254875-0.00101105324074086-0.0314639467592592
101.25071.250771585648151.2627-0.0119284143518519-7.15856481483534e-05
111.29971.265318113425931.26957916666667-0.004261053240740680.0343818865740741
121.34061.286348668981481.272520833333330.01382783564814810.0542513310185186
131.31231.27433339120371.271620833333330.002712557870370340.0379666087962964
141.30131.252772974537041.27111666666667-0.01834369212962960.0485270254629631
151.31851.274309780092591.271591666666670.002718113425925930.0441902199074076
161.29431.279085474537041.26961250.009472974537037050.0152145254629632
171.26971.264707002314811.262558333333330.002148668981481450.00499299768518546
181.21551.241091724537041.2510875-0.00999577546296295-0.0255917245370367
191.20411.252268807870371.240495833333330.0117729745370371-0.0481688078703704
201.22951.234757696759261.231870833333330.00288686342592598-0.00525769675925924
211.22341.221568113425931.22257916666667-0.001011053240740860.00183188657407407
221.20221.203038252314811.21496666666667-0.0119284143518519-0.000838252314814492
231.17891.208205613425931.21246666666667-0.00426105324074068-0.0293056134259255
241.18611.228694502314811.214866666666670.0138278356481481-0.0425945023148144
251.21261.222354224537041.219641666666670.00271255787037034-0.009754224537037
261.1941.206110474537041.22445416666667-0.0183436921296296-0.0121104745370371
271.20281.231351446759261.228633333333330.00271811342592593-0.0285514467592589
281.22731.242618807870371.233145833333330.00947297453703705-0.0153188078703701
291.27671.242352835648151.240204166666670.002148668981481450.0343471643518518
301.26611.240387557870371.25038333333333-0.009995775462962950.0257124421296298
311.26811.271368807870371.259595833333330.0117729745370371-0.00326880787037021
321.2811.270845196759261.267958333333330.002886863425925980.0101548032407408
331.27221.276772280092591.27778333333333-0.00101105324074086-0.00457228009259225
341.26171.276096585648151.288025-0.0119284143518519-0.0143965856481481
351.28881.292059780092591.29632083333333-0.00426105324074068-0.00325978009259242
361.32051.316444502314811.302616666666670.01382783564814810.00405549768518543
371.29931.312850057870371.31013750.00271255787037034-0.0135500578703704
381.3081.299547974537041.31789166666667-0.01834369212962960.0084520254629632
391.32461.328959780092591.326241666666670.00271811342592593-0.00435978009259252
401.35131.347397974537041.3379250.009472974537037050.00390202546296337
411.35181.354286168981481.35213750.00214866898148145-0.00248616898148124
421.34211.355262557870371.36525833333333-0.00999577546296295-0.01316255787037
431.37261.38990214120371.378129166666670.0117729745370371-0.0173021412037035
441.36261.395241030092591.392354166666670.00288686342592598-0.0326410300925926
451.3911.407813946759261.408825-0.00101105324074086-0.0168139467592592
461.42331.415709085648151.4276375-0.01192841435185190.00759091435185222
471.46831.441197280092591.44545833333333-0.004261053240740680.0271027199074076
481.45591.476690335648151.46286250.0138278356481481-0.0207903356481483
491.47281.482966724537041.480254166666670.00271255787037034-0.0101667245370372
501.47591.475918807870371.4942625-0.0183436921296296-1.8807870370452e-05
511.5521.504318113425931.50160.002718113425925930.0476818865740742
521.57541.508843807870371.499370833333330.009472974537037050.0665561921296296
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561.49551.452795196759261.449908333333330.002886863425925980.0427048032407407
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601.35111.391336168981481.377508333333330.0138278356481481-0.0402361689814814
611.32441.366825057870371.36411250.00271255787037034-0.0424250578703702
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651.36461.377490335648151.375341666666670.00214866898148145-0.012890335648148
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671.40921.40928964120371.397516666666670.0117729745370371-8.96412037036942e-05
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711.49081.406509780092591.41077083333333-0.004261053240740680.0842902199074078
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731.42661.38870839120371.385995833333330.002712557870370340.0378916087962966
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771.25631.346290335648151.344141666666670.00214866898148145-0.0899903356481477
781.22231.323262557870371.33325833333333-0.00999577546296295-0.10096255787037
791.2811NANA0.0117729745370371NA
801.2903NANA0.00288686342592598NA
811.3103NANA-0.00101105324074086NA
821.3901NANA-0.0119284143518519NA
831.3654NANA-0.00426105324074068NA
841.3221NANA0.0138278356481481NA



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')