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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 03 Dec 2009 12:35:03 -0700
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/Dec/03/t125986906060dtc95iejonz6s.htm/, Retrieved Fri, 26 Apr 2024 15:48:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63092, Retrieved Fri, 26 Apr 2024 15:48:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-    D      [Classical Decomposition] [] [2009-12-03 19:35:03] [9f6463b67b1eb7bae5c03a796abf0348] [Current]
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Dataseries X:
12.610
10.862
52.929
56.902
81.776
87.876
82.103
72.846
60.632
33.521
15.342
7.758
8.668
13.082
38.157
58.263
81.153
88.476
72.329
75.845
61.108
37.665
12.755
2.793
12.935
19.533
33.404
52.074
70.735
69.702
61.656
82.993
53.990
32.283
15.686
2.713
12.842
19.244
48.488
54.464
84.192
84.458
85.793
75.163
68.212
49.233
24.302
5.402
15.058
33.559
70.358
85.934
94.452
129.305
113.882
107.256
94.274
57.842
26.611
14.521




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63092&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63092&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63092&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'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
112.61NANA0.251686540873971NA
210.862NANA0.416856573318213NA
352.929NANA0.919295839376642NA
456.902NANA1.21582838470322NA
581.776NANA1.62233886325592NA
687.876NANA1.77837081460403NA
782.10377.125518534557647.76551.614669971727661.06453741329742
872.84678.764230802237247.693751.651458121918220.924861441012522
960.63260.873863783794747.170751.290500231261840.996026804136276
1033.52137.042183383868246.61195833333330.7946927078019470.904941257177577
1115.34216.271266064696346.64270833333330.3488490837284430.942889135915947
127.7584.4520887794478146.641750.09545286742988441.74255285200360
138.66811.642893537559546.25950.2516865408739710.744488470330628
1413.08219.165901516570945.97720833333330.4168565733182130.682566379081581
1538.15742.399762703729546.1220.9192958393766420.899934281864358
1658.26356.310483723337146.31451.215828384703221.0346741165687
1781.15375.243062516020146.3793751.622338863255921.07854461642522
1888.47681.920132883247146.06470833333331.778370814604031.08002754495157
1972.32974.332341317215246.0356251.614669971727660.973048860271118
2075.84576.763420476778246.48220833333331.651458121918220.988035701495922
2161.10860.076603495089746.55295833333331.290500231261841.01716802290587
2237.66536.632982863742546.09704166666670.7946927078019471.02817180190038
2312.75515.839521717446945.40508333333330.3488490837284430.805264213625252
242.7934.2179428956423144.188750.09545286742988440.662171126803433
2512.93510.812904734331542.96179166666670.2516865408739711.19625579969559
2619.53317.847679448571542.81491666666670.4168565733182131.09442799307802
2733.40439.360723874723542.81616666666670.9192958393766420.848663253915694
2852.07451.423866807150842.29533333333331.215828384703221.01264263528232
2970.73568.451681644620342.19320833333331.622338863255921.03335664370138
3069.70275.246425907525842.3121.778370814604030.926316421801355
3161.65668.308276764361342.30479166666671.614669971727660.902613898644974
3282.99369.838306085534542.2888751.651458121918221.18835929236821
3353.9955.369342589033242.90533333333331.290500231261840.97508833364212
3432.28334.675158041483943.63341666666670.7946927078019470.931012339190436
3515.68615.451819567018244.29370833333330.3488490837284431.01515552469184
362.7134.3401702923862745.469250.09545286742988440.625090680142037
3712.84211.851866775059347.08979166666670.2516865408739711.08354238566234
3819.24419.912925864981147.769250.4168565733182130.966407454659517
3948.48844.158911900363348.03558333333330.9192958393766421.0980343018733
4054.46459.982184126108849.33441666666671.215828384703220.908002947766838
4184.19281.765337928477450.39966666666671.622338863255921.02967837145913
4284.45890.46698301823450.87070833333331.778370814604030.9335781650083
4385.79382.469403361821351.07508333333331.614669971727661.04030096620921
4475.16385.485871790709651.7638751.651458121918220.879244703546072
4568.21268.746990611351353.27158333333331.290500231261840.992217977738462
4649.23344.100743351153555.49408333333330.7946927078019471.11637574015433
4724.30219.96562146751657.23283333333330.3488490837284431.21719226418968
485.4025.6822097680307859.52895833333330.09545286742988440.950686479473656
4915.05815.747513002463462.56795833333330.2516865408739710.95621448273416
5033.55927.127167305993365.07554166666670.4168565733182131.23709931160360
5170.35862.051243430137567.49866666666670.9192958393766421.13386930076937
5285.93483.82321094320668.94329166666671.215828384703221.02518143880487
5394.452112.58741041949869.39820833333331.622338863255920.838921506836993
54129.305124.26254918869869.8743751.778370814604031.04057900666149
55113.882NANA1.61466997172766NA
56107.256NANA1.65145812191822NA
5794.274NANA1.29050023126184NA
5857.842NANA0.794692707801947NA
5926.611NANA0.348849083728443NA
6014.521NANA0.0954528674298844NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 12.61 & NA & NA & 0.251686540873971 & NA \tabularnewline
2 & 10.862 & NA & NA & 0.416856573318213 & NA \tabularnewline
3 & 52.929 & NA & NA & 0.919295839376642 & NA \tabularnewline
4 & 56.902 & NA & NA & 1.21582838470322 & NA \tabularnewline
5 & 81.776 & NA & NA & 1.62233886325592 & NA \tabularnewline
6 & 87.876 & NA & NA & 1.77837081460403 & NA \tabularnewline
7 & 82.103 & 77.1255185345576 & 47.7655 & 1.61466997172766 & 1.06453741329742 \tabularnewline
8 & 72.846 & 78.7642308022372 & 47.69375 & 1.65145812191822 & 0.924861441012522 \tabularnewline
9 & 60.632 & 60.8738637837947 & 47.17075 & 1.29050023126184 & 0.996026804136276 \tabularnewline
10 & 33.521 & 37.0421833838682 & 46.6119583333333 & 0.794692707801947 & 0.904941257177577 \tabularnewline
11 & 15.342 & 16.2712660646963 & 46.6427083333333 & 0.348849083728443 & 0.942889135915947 \tabularnewline
12 & 7.758 & 4.45208877944781 & 46.64175 & 0.0954528674298844 & 1.74255285200360 \tabularnewline
13 & 8.668 & 11.6428935375595 & 46.2595 & 0.251686540873971 & 0.744488470330628 \tabularnewline
14 & 13.082 & 19.1659015165709 & 45.9772083333333 & 0.416856573318213 & 0.682566379081581 \tabularnewline
15 & 38.157 & 42.3997627037295 & 46.122 & 0.919295839376642 & 0.899934281864358 \tabularnewline
16 & 58.263 & 56.3104837233371 & 46.3145 & 1.21582838470322 & 1.0346741165687 \tabularnewline
17 & 81.153 & 75.2430625160201 & 46.379375 & 1.62233886325592 & 1.07854461642522 \tabularnewline
18 & 88.476 & 81.9201328832471 & 46.0647083333333 & 1.77837081460403 & 1.08002754495157 \tabularnewline
19 & 72.329 & 74.3323413172152 & 46.035625 & 1.61466997172766 & 0.973048860271118 \tabularnewline
20 & 75.845 & 76.7634204767782 & 46.4822083333333 & 1.65145812191822 & 0.988035701495922 \tabularnewline
21 & 61.108 & 60.0766034950897 & 46.5529583333333 & 1.29050023126184 & 1.01716802290587 \tabularnewline
22 & 37.665 & 36.6329828637425 & 46.0970416666667 & 0.794692707801947 & 1.02817180190038 \tabularnewline
23 & 12.755 & 15.8395217174469 & 45.4050833333333 & 0.348849083728443 & 0.805264213625252 \tabularnewline
24 & 2.793 & 4.21794289564231 & 44.18875 & 0.0954528674298844 & 0.662171126803433 \tabularnewline
25 & 12.935 & 10.8129047343315 & 42.9617916666667 & 0.251686540873971 & 1.19625579969559 \tabularnewline
26 & 19.533 & 17.8476794485715 & 42.8149166666667 & 0.416856573318213 & 1.09442799307802 \tabularnewline
27 & 33.404 & 39.3607238747235 & 42.8161666666667 & 0.919295839376642 & 0.848663253915694 \tabularnewline
28 & 52.074 & 51.4238668071508 & 42.2953333333333 & 1.21582838470322 & 1.01264263528232 \tabularnewline
29 & 70.735 & 68.4516816446203 & 42.1932083333333 & 1.62233886325592 & 1.03335664370138 \tabularnewline
30 & 69.702 & 75.2464259075258 & 42.312 & 1.77837081460403 & 0.926316421801355 \tabularnewline
31 & 61.656 & 68.3082767643613 & 42.3047916666667 & 1.61466997172766 & 0.902613898644974 \tabularnewline
32 & 82.993 & 69.8383060855345 & 42.288875 & 1.65145812191822 & 1.18835929236821 \tabularnewline
33 & 53.99 & 55.3693425890332 & 42.9053333333333 & 1.29050023126184 & 0.97508833364212 \tabularnewline
34 & 32.283 & 34.6751580414839 & 43.6334166666667 & 0.794692707801947 & 0.931012339190436 \tabularnewline
35 & 15.686 & 15.4518195670182 & 44.2937083333333 & 0.348849083728443 & 1.01515552469184 \tabularnewline
36 & 2.713 & 4.34017029238627 & 45.46925 & 0.0954528674298844 & 0.625090680142037 \tabularnewline
37 & 12.842 & 11.8518667750593 & 47.0897916666667 & 0.251686540873971 & 1.08354238566234 \tabularnewline
38 & 19.244 & 19.9129258649811 & 47.76925 & 0.416856573318213 & 0.966407454659517 \tabularnewline
39 & 48.488 & 44.1589119003633 & 48.0355833333333 & 0.919295839376642 & 1.0980343018733 \tabularnewline
40 & 54.464 & 59.9821841261088 & 49.3344166666667 & 1.21582838470322 & 0.908002947766838 \tabularnewline
41 & 84.192 & 81.7653379284774 & 50.3996666666667 & 1.62233886325592 & 1.02967837145913 \tabularnewline
42 & 84.458 & 90.466983018234 & 50.8707083333333 & 1.77837081460403 & 0.9335781650083 \tabularnewline
43 & 85.793 & 82.4694033618213 & 51.0750833333333 & 1.61466997172766 & 1.04030096620921 \tabularnewline
44 & 75.163 & 85.4858717907096 & 51.763875 & 1.65145812191822 & 0.879244703546072 \tabularnewline
45 & 68.212 & 68.7469906113513 & 53.2715833333333 & 1.29050023126184 & 0.992217977738462 \tabularnewline
46 & 49.233 & 44.1007433511535 & 55.4940833333333 & 0.794692707801947 & 1.11637574015433 \tabularnewline
47 & 24.302 & 19.965621467516 & 57.2328333333333 & 0.348849083728443 & 1.21719226418968 \tabularnewline
48 & 5.402 & 5.68220976803078 & 59.5289583333333 & 0.0954528674298844 & 0.950686479473656 \tabularnewline
49 & 15.058 & 15.7475130024634 & 62.5679583333333 & 0.251686540873971 & 0.95621448273416 \tabularnewline
50 & 33.559 & 27.1271673059933 & 65.0755416666667 & 0.416856573318213 & 1.23709931160360 \tabularnewline
51 & 70.358 & 62.0512434301375 & 67.4986666666667 & 0.919295839376642 & 1.13386930076937 \tabularnewline
52 & 85.934 & 83.823210943206 & 68.9432916666667 & 1.21582838470322 & 1.02518143880487 \tabularnewline
53 & 94.452 & 112.587410419498 & 69.3982083333333 & 1.62233886325592 & 0.838921506836993 \tabularnewline
54 & 129.305 & 124.262549188698 & 69.874375 & 1.77837081460403 & 1.04057900666149 \tabularnewline
55 & 113.882 & NA & NA & 1.61466997172766 & NA \tabularnewline
56 & 107.256 & NA & NA & 1.65145812191822 & NA \tabularnewline
57 & 94.274 & NA & NA & 1.29050023126184 & NA \tabularnewline
58 & 57.842 & NA & NA & 0.794692707801947 & NA \tabularnewline
59 & 26.611 & NA & NA & 0.348849083728443 & NA \tabularnewline
60 & 14.521 & NA & NA & 0.0954528674298844 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63092&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]12.61[/C][C]NA[/C][C]NA[/C][C]0.251686540873971[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]10.862[/C][C]NA[/C][C]NA[/C][C]0.416856573318213[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]52.929[/C][C]NA[/C][C]NA[/C][C]0.919295839376642[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]56.902[/C][C]NA[/C][C]NA[/C][C]1.21582838470322[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]81.776[/C][C]NA[/C][C]NA[/C][C]1.62233886325592[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]87.876[/C][C]NA[/C][C]NA[/C][C]1.77837081460403[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]82.103[/C][C]77.1255185345576[/C][C]47.7655[/C][C]1.61466997172766[/C][C]1.06453741329742[/C][/ROW]
[ROW][C]8[/C][C]72.846[/C][C]78.7642308022372[/C][C]47.69375[/C][C]1.65145812191822[/C][C]0.924861441012522[/C][/ROW]
[ROW][C]9[/C][C]60.632[/C][C]60.8738637837947[/C][C]47.17075[/C][C]1.29050023126184[/C][C]0.996026804136276[/C][/ROW]
[ROW][C]10[/C][C]33.521[/C][C]37.0421833838682[/C][C]46.6119583333333[/C][C]0.794692707801947[/C][C]0.904941257177577[/C][/ROW]
[ROW][C]11[/C][C]15.342[/C][C]16.2712660646963[/C][C]46.6427083333333[/C][C]0.348849083728443[/C][C]0.942889135915947[/C][/ROW]
[ROW][C]12[/C][C]7.758[/C][C]4.45208877944781[/C][C]46.64175[/C][C]0.0954528674298844[/C][C]1.74255285200360[/C][/ROW]
[ROW][C]13[/C][C]8.668[/C][C]11.6428935375595[/C][C]46.2595[/C][C]0.251686540873971[/C][C]0.744488470330628[/C][/ROW]
[ROW][C]14[/C][C]13.082[/C][C]19.1659015165709[/C][C]45.9772083333333[/C][C]0.416856573318213[/C][C]0.682566379081581[/C][/ROW]
[ROW][C]15[/C][C]38.157[/C][C]42.3997627037295[/C][C]46.122[/C][C]0.919295839376642[/C][C]0.899934281864358[/C][/ROW]
[ROW][C]16[/C][C]58.263[/C][C]56.3104837233371[/C][C]46.3145[/C][C]1.21582838470322[/C][C]1.0346741165687[/C][/ROW]
[ROW][C]17[/C][C]81.153[/C][C]75.2430625160201[/C][C]46.379375[/C][C]1.62233886325592[/C][C]1.07854461642522[/C][/ROW]
[ROW][C]18[/C][C]88.476[/C][C]81.9201328832471[/C][C]46.0647083333333[/C][C]1.77837081460403[/C][C]1.08002754495157[/C][/ROW]
[ROW][C]19[/C][C]72.329[/C][C]74.3323413172152[/C][C]46.035625[/C][C]1.61466997172766[/C][C]0.973048860271118[/C][/ROW]
[ROW][C]20[/C][C]75.845[/C][C]76.7634204767782[/C][C]46.4822083333333[/C][C]1.65145812191822[/C][C]0.988035701495922[/C][/ROW]
[ROW][C]21[/C][C]61.108[/C][C]60.0766034950897[/C][C]46.5529583333333[/C][C]1.29050023126184[/C][C]1.01716802290587[/C][/ROW]
[ROW][C]22[/C][C]37.665[/C][C]36.6329828637425[/C][C]46.0970416666667[/C][C]0.794692707801947[/C][C]1.02817180190038[/C][/ROW]
[ROW][C]23[/C][C]12.755[/C][C]15.8395217174469[/C][C]45.4050833333333[/C][C]0.348849083728443[/C][C]0.805264213625252[/C][/ROW]
[ROW][C]24[/C][C]2.793[/C][C]4.21794289564231[/C][C]44.18875[/C][C]0.0954528674298844[/C][C]0.662171126803433[/C][/ROW]
[ROW][C]25[/C][C]12.935[/C][C]10.8129047343315[/C][C]42.9617916666667[/C][C]0.251686540873971[/C][C]1.19625579969559[/C][/ROW]
[ROW][C]26[/C][C]19.533[/C][C]17.8476794485715[/C][C]42.8149166666667[/C][C]0.416856573318213[/C][C]1.09442799307802[/C][/ROW]
[ROW][C]27[/C][C]33.404[/C][C]39.3607238747235[/C][C]42.8161666666667[/C][C]0.919295839376642[/C][C]0.848663253915694[/C][/ROW]
[ROW][C]28[/C][C]52.074[/C][C]51.4238668071508[/C][C]42.2953333333333[/C][C]1.21582838470322[/C][C]1.01264263528232[/C][/ROW]
[ROW][C]29[/C][C]70.735[/C][C]68.4516816446203[/C][C]42.1932083333333[/C][C]1.62233886325592[/C][C]1.03335664370138[/C][/ROW]
[ROW][C]30[/C][C]69.702[/C][C]75.2464259075258[/C][C]42.312[/C][C]1.77837081460403[/C][C]0.926316421801355[/C][/ROW]
[ROW][C]31[/C][C]61.656[/C][C]68.3082767643613[/C][C]42.3047916666667[/C][C]1.61466997172766[/C][C]0.902613898644974[/C][/ROW]
[ROW][C]32[/C][C]82.993[/C][C]69.8383060855345[/C][C]42.288875[/C][C]1.65145812191822[/C][C]1.18835929236821[/C][/ROW]
[ROW][C]33[/C][C]53.99[/C][C]55.3693425890332[/C][C]42.9053333333333[/C][C]1.29050023126184[/C][C]0.97508833364212[/C][/ROW]
[ROW][C]34[/C][C]32.283[/C][C]34.6751580414839[/C][C]43.6334166666667[/C][C]0.794692707801947[/C][C]0.931012339190436[/C][/ROW]
[ROW][C]35[/C][C]15.686[/C][C]15.4518195670182[/C][C]44.2937083333333[/C][C]0.348849083728443[/C][C]1.01515552469184[/C][/ROW]
[ROW][C]36[/C][C]2.713[/C][C]4.34017029238627[/C][C]45.46925[/C][C]0.0954528674298844[/C][C]0.625090680142037[/C][/ROW]
[ROW][C]37[/C][C]12.842[/C][C]11.8518667750593[/C][C]47.0897916666667[/C][C]0.251686540873971[/C][C]1.08354238566234[/C][/ROW]
[ROW][C]38[/C][C]19.244[/C][C]19.9129258649811[/C][C]47.76925[/C][C]0.416856573318213[/C][C]0.966407454659517[/C][/ROW]
[ROW][C]39[/C][C]48.488[/C][C]44.1589119003633[/C][C]48.0355833333333[/C][C]0.919295839376642[/C][C]1.0980343018733[/C][/ROW]
[ROW][C]40[/C][C]54.464[/C][C]59.9821841261088[/C][C]49.3344166666667[/C][C]1.21582838470322[/C][C]0.908002947766838[/C][/ROW]
[ROW][C]41[/C][C]84.192[/C][C]81.7653379284774[/C][C]50.3996666666667[/C][C]1.62233886325592[/C][C]1.02967837145913[/C][/ROW]
[ROW][C]42[/C][C]84.458[/C][C]90.466983018234[/C][C]50.8707083333333[/C][C]1.77837081460403[/C][C]0.9335781650083[/C][/ROW]
[ROW][C]43[/C][C]85.793[/C][C]82.4694033618213[/C][C]51.0750833333333[/C][C]1.61466997172766[/C][C]1.04030096620921[/C][/ROW]
[ROW][C]44[/C][C]75.163[/C][C]85.4858717907096[/C][C]51.763875[/C][C]1.65145812191822[/C][C]0.879244703546072[/C][/ROW]
[ROW][C]45[/C][C]68.212[/C][C]68.7469906113513[/C][C]53.2715833333333[/C][C]1.29050023126184[/C][C]0.992217977738462[/C][/ROW]
[ROW][C]46[/C][C]49.233[/C][C]44.1007433511535[/C][C]55.4940833333333[/C][C]0.794692707801947[/C][C]1.11637574015433[/C][/ROW]
[ROW][C]47[/C][C]24.302[/C][C]19.965621467516[/C][C]57.2328333333333[/C][C]0.348849083728443[/C][C]1.21719226418968[/C][/ROW]
[ROW][C]48[/C][C]5.402[/C][C]5.68220976803078[/C][C]59.5289583333333[/C][C]0.0954528674298844[/C][C]0.950686479473656[/C][/ROW]
[ROW][C]49[/C][C]15.058[/C][C]15.7475130024634[/C][C]62.5679583333333[/C][C]0.251686540873971[/C][C]0.95621448273416[/C][/ROW]
[ROW][C]50[/C][C]33.559[/C][C]27.1271673059933[/C][C]65.0755416666667[/C][C]0.416856573318213[/C][C]1.23709931160360[/C][/ROW]
[ROW][C]51[/C][C]70.358[/C][C]62.0512434301375[/C][C]67.4986666666667[/C][C]0.919295839376642[/C][C]1.13386930076937[/C][/ROW]
[ROW][C]52[/C][C]85.934[/C][C]83.823210943206[/C][C]68.9432916666667[/C][C]1.21582838470322[/C][C]1.02518143880487[/C][/ROW]
[ROW][C]53[/C][C]94.452[/C][C]112.587410419498[/C][C]69.3982083333333[/C][C]1.62233886325592[/C][C]0.838921506836993[/C][/ROW]
[ROW][C]54[/C][C]129.305[/C][C]124.262549188698[/C][C]69.874375[/C][C]1.77837081460403[/C][C]1.04057900666149[/C][/ROW]
[ROW][C]55[/C][C]113.882[/C][C]NA[/C][C]NA[/C][C]1.61466997172766[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]107.256[/C][C]NA[/C][C]NA[/C][C]1.65145812191822[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]94.274[/C][C]NA[/C][C]NA[/C][C]1.29050023126184[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]57.842[/C][C]NA[/C][C]NA[/C][C]0.794692707801947[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]26.611[/C][C]NA[/C][C]NA[/C][C]0.348849083728443[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]14.521[/C][C]NA[/C][C]NA[/C][C]0.0954528674298844[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63092&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63092&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
112.61NANA0.251686540873971NA
210.862NANA0.416856573318213NA
352.929NANA0.919295839376642NA
456.902NANA1.21582838470322NA
581.776NANA1.62233886325592NA
687.876NANA1.77837081460403NA
782.10377.125518534557647.76551.614669971727661.06453741329742
872.84678.764230802237247.693751.651458121918220.924861441012522
960.63260.873863783794747.170751.290500231261840.996026804136276
1033.52137.042183383868246.61195833333330.7946927078019470.904941257177577
1115.34216.271266064696346.64270833333330.3488490837284430.942889135915947
127.7584.4520887794478146.641750.09545286742988441.74255285200360
138.66811.642893537559546.25950.2516865408739710.744488470330628
1413.08219.165901516570945.97720833333330.4168565733182130.682566379081581
1538.15742.399762703729546.1220.9192958393766420.899934281864358
1658.26356.310483723337146.31451.215828384703221.0346741165687
1781.15375.243062516020146.3793751.622338863255921.07854461642522
1888.47681.920132883247146.06470833333331.778370814604031.08002754495157
1972.32974.332341317215246.0356251.614669971727660.973048860271118
2075.84576.763420476778246.48220833333331.651458121918220.988035701495922
2161.10860.076603495089746.55295833333331.290500231261841.01716802290587
2237.66536.632982863742546.09704166666670.7946927078019471.02817180190038
2312.75515.839521717446945.40508333333330.3488490837284430.805264213625252
242.7934.2179428956423144.188750.09545286742988440.662171126803433
2512.93510.812904734331542.96179166666670.2516865408739711.19625579969559
2619.53317.847679448571542.81491666666670.4168565733182131.09442799307802
2733.40439.360723874723542.81616666666670.9192958393766420.848663253915694
2852.07451.423866807150842.29533333333331.215828384703221.01264263528232
2970.73568.451681644620342.19320833333331.622338863255921.03335664370138
3069.70275.246425907525842.3121.778370814604030.926316421801355
3161.65668.308276764361342.30479166666671.614669971727660.902613898644974
3282.99369.838306085534542.2888751.651458121918221.18835929236821
3353.9955.369342589033242.90533333333331.290500231261840.97508833364212
3432.28334.675158041483943.63341666666670.7946927078019470.931012339190436
3515.68615.451819567018244.29370833333330.3488490837284431.01515552469184
362.7134.3401702923862745.469250.09545286742988440.625090680142037
3712.84211.851866775059347.08979166666670.2516865408739711.08354238566234
3819.24419.912925864981147.769250.4168565733182130.966407454659517
3948.48844.158911900363348.03558333333330.9192958393766421.0980343018733
4054.46459.982184126108849.33441666666671.215828384703220.908002947766838
4184.19281.765337928477450.39966666666671.622338863255921.02967837145913
4284.45890.46698301823450.87070833333331.778370814604030.9335781650083
4385.79382.469403361821351.07508333333331.614669971727661.04030096620921
4475.16385.485871790709651.7638751.651458121918220.879244703546072
4568.21268.746990611351353.27158333333331.290500231261840.992217977738462
4649.23344.100743351153555.49408333333330.7946927078019471.11637574015433
4724.30219.96562146751657.23283333333330.3488490837284431.21719226418968
485.4025.6822097680307859.52895833333330.09545286742988440.950686479473656
4915.05815.747513002463462.56795833333330.2516865408739710.95621448273416
5033.55927.127167305993365.07554166666670.4168565733182131.23709931160360
5170.35862.051243430137567.49866666666670.9192958393766421.13386930076937
5285.93483.82321094320668.94329166666671.215828384703221.02518143880487
5394.452112.58741041949869.39820833333331.622338863255920.838921506836993
54129.305124.26254918869869.8743751.778370814604031.04057900666149
55113.882NANA1.61466997172766NA
56107.256NANA1.65145812191822NA
5794.274NANA1.29050023126184NA
5857.842NANA0.794692707801947NA
5926.611NANA0.348849083728443NA
6014.521NANA0.0954528674298844NA



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