Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 30 May 2010 07:45:50 +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/2010/May/30/t1275205634imyd4ez9z81pekt.htm/, Retrieved Thu, 02 May 2024 17:18:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76682, Retrieved Thu, 02 May 2024 17:18:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKdGP2W52
Estimated Impact195
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [WErkloosheid V ...] [2010-05-30 07:45:50] [4942f64bbdc4cce21b299a740a533758] [Current]
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Dataseries X:
43657
42811
45419
50846
54500
51035
38675
36214
38763
39486
40540
40719
40471
39947
42683
47090
51520
48823
36122
33812
36928
37737
40123
41713
42025
42169
46352
50939
56139
52713
38532
37860
40880
41988
44576
46728
46913
49357
54709
60819
63695
60109
45544
43596
44431
45575
47980
49211
51374
52954
57529
62960
64530
61008
44964
43480
45429
47616
49364
51010
53188
55317
60106
65845
67028
63617
47605
45844
47925
50156
52258
53476
54327
55214
59347
64718
66208
62744
45587
43684
45676
47088
48907
50964
51798




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76682&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76682&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76682&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
143657NANA0.975980189395886NA
242811NANA0.995022987322727NA
345419NANA1.07968564766037NA
450846NANA1.18409664287106NA
554500NANA1.24142341825675NA
651035NANA1.17042490499207NA
73867537493.045231327343422.66666666670.863444097506541.03152464040678
83621436197.942051686943170.58333333330.83848628526031.00044361495165
93876337111.014973974642937.250.8643081467484421.04451468188579
103948638182.902760161542666.750.8949100355701231.03412776781335
114054039517.564840261942386.08333333330.9323240491339381.02587292926249
124071940478.472939634642169.750.9598935952817971.00594209817955
134047140963.067858340841971.20833333330.9759801893958860.987987524273267
143994741556.886309786941764.750.9950229873227270.961260660921853
154268344902.191649409441588.20833333331.079685647660370.950577208641918
164709049067.632771853541438.8751.184096642871060.959695777845065
175152051331.151387716541348.6251.241423418256751.00367902544903
184882348423.599452601841372.66666666671.170424904992071.00824805573962
193612235814.653813124141478.83333333330.863444097506541.00858157637037
203381234911.354720812141636.16666666670.83848628526030.968510109974143
213692836198.629686563241881.6250.8643081467484421.02014911392371
223773737760.617087126942194.8750.8949100355701230.999374557701946
234012339668.251714703142547.70833333330.9323240491339381.01146378440289
244171341181.594998178542902.250.9598935952817971.01290394414896
254202542127.940880226143164.750.9759801893958860.997556470169792
264216943217.662594210843433.83333333330.9950229873227270.97573532367872
274635247254.781688759343767.16666666671.079685647660370.98089544260927
285093952229.269483039544108.95833333331.184096642871060.975296045764942
295613955208.116722932344471.6251.241423418256751.01686134815537
305271352512.430090487344866.1251.170424904992071.00381947491607
313853239095.669429974245278.750.863444097506540.985582305196645
323786038387.509237929945781.91666666670.83848628526030.986258310361832
334088040129.503137975146429.6250.8643081467484421.01870187277038
344198842230.357123536347189.50.8949100355701230.994261068576158
354457644673.2391383018479160.9323240491339380.997823324653027
364672846592.2752213832485390.9598935952817971.00291303178417
374691347959.015853454249139.33333333330.9759801893958860.978189380352373
384935749423.289291813549670.50.9950229873227270.998658743827791
395470954046.319320856950057.45833333331.079685647660371.01226134707174
406081959625.038439691950354.8751.184096642871061.02002449963224
416369562873.337344934450646.16666666671.241423418256751.01306853890319
426010959564.630284699550891.45833333331.170424904992071.00913914369482
434554444191.752470295251180.79166666670.863444097506541.03059954525709
444359643195.913651540851516.54166666670.83848628526031.00926213418442
454443144757.261045542451783.91666666670.8643081467484420.992710433169481
464557546526.932068062951990.6250.8949100355701230.979540192620688
474798048587.718199096852114.6250.9323240491339380.987492349473862
484921150093.847070271752186.8750.9598935952817970.982376137551718
495137450946.328549830152200.16666666670.9759801893958861.00839454897621
505295451911.510108778552171.16666666670.9950229873227271.02008205673534
515752956368.138319248652207.91666666671.079685647660371.02059428810965
526296061969.155093695652334.54166666671.184096642871061.01598932412111
536453065146.48707571452477.251.241423418256750.990536909918143
546100861575.907948519652609.8751.170424904992070.990777108004735
554496445555.67035281952760.41666666670.863444097506540.987012146935022
564348044384.817330182852934.45833333330.83848628526030.97961426035728
574542945929.587008088453140.29166666670.8643081467484420.989100990435638
584761647759.446914551953367.8750.8949100355701230.996996470356775
594936449965.265828527553592.16666666670.9323240491339380.987966323834021
605101051647.034898570653804.95833333330.9598935952817970.987665605589523
615318852726.069091034754023.70833333330.9759801893958861.00876095860982
625531753962.33540423354232.250.9950229873227271.02510389117927
636010658772.418308980354434.751.079685647660371.02269060435813
646584564704.467676087954644.58333333331.184096642871061.01762679402018
656702868118.1443831661548711.241423418256750.983996270112203
666361764483.77985726855094.33333333331.170424904992070.98655817231579
674760547700.573421537455244.54166666670.863444097506540.997996388414604
684584446357.985180971655287.70833333330.83848628526030.988912693703898
694792547754.573659947755251.79166666670.8643081467484421.00356879617994
705015649375.057832101155173.20833333330.8949100355701231.01581653171029
715225851363.674208557755092.08333333330.9323240491339381.01741163974779
725347652814.825448363955021.54166666670.9598935952817971.01251873022439
735432753582.36970970654901.08333333330.9759801893958861.01389692718572
745521454454.6230272109547270.9950229873227271.01394513322422
755934758889.609188653454543.29166666671.079685647660371.00776691877647
766471864322.20180988154321.751.184096642871061.00615336818365
776620867104.263532280754054.29166666671.241423418256750.986643717029253
786274462980.5641376232538101.170424904992070.996243854896151
794558746280.567649513153599.95833333330.863444097506540.985013847393456
8043684NANA0.8384862852603NA
8145676NANA0.864308146748442NA
8247088NANA0.894910035570123NA
8348907NANA0.932324049133938NA
8450964NANA0.959893595281797NA
8551798NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 43657 & NA & NA & 0.975980189395886 & NA \tabularnewline
2 & 42811 & NA & NA & 0.995022987322727 & NA \tabularnewline
3 & 45419 & NA & NA & 1.07968564766037 & NA \tabularnewline
4 & 50846 & NA & NA & 1.18409664287106 & NA \tabularnewline
5 & 54500 & NA & NA & 1.24142341825675 & NA \tabularnewline
6 & 51035 & NA & NA & 1.17042490499207 & NA \tabularnewline
7 & 38675 & 37493.0452313273 & 43422.6666666667 & 0.86344409750654 & 1.03152464040678 \tabularnewline
8 & 36214 & 36197.9420516869 & 43170.5833333333 & 0.8384862852603 & 1.00044361495165 \tabularnewline
9 & 38763 & 37111.0149739746 & 42937.25 & 0.864308146748442 & 1.04451468188579 \tabularnewline
10 & 39486 & 38182.9027601615 & 42666.75 & 0.894910035570123 & 1.03412776781335 \tabularnewline
11 & 40540 & 39517.5648402619 & 42386.0833333333 & 0.932324049133938 & 1.02587292926249 \tabularnewline
12 & 40719 & 40478.4729396346 & 42169.75 & 0.959893595281797 & 1.00594209817955 \tabularnewline
13 & 40471 & 40963.0678583408 & 41971.2083333333 & 0.975980189395886 & 0.987987524273267 \tabularnewline
14 & 39947 & 41556.8863097869 & 41764.75 & 0.995022987322727 & 0.961260660921853 \tabularnewline
15 & 42683 & 44902.1916494094 & 41588.2083333333 & 1.07968564766037 & 0.950577208641918 \tabularnewline
16 & 47090 & 49067.6327718535 & 41438.875 & 1.18409664287106 & 0.959695777845065 \tabularnewline
17 & 51520 & 51331.1513877165 & 41348.625 & 1.24142341825675 & 1.00367902544903 \tabularnewline
18 & 48823 & 48423.5994526018 & 41372.6666666667 & 1.17042490499207 & 1.00824805573962 \tabularnewline
19 & 36122 & 35814.6538131241 & 41478.8333333333 & 0.86344409750654 & 1.00858157637037 \tabularnewline
20 & 33812 & 34911.3547208121 & 41636.1666666667 & 0.8384862852603 & 0.968510109974143 \tabularnewline
21 & 36928 & 36198.6296865632 & 41881.625 & 0.864308146748442 & 1.02014911392371 \tabularnewline
22 & 37737 & 37760.6170871269 & 42194.875 & 0.894910035570123 & 0.999374557701946 \tabularnewline
23 & 40123 & 39668.2517147031 & 42547.7083333333 & 0.932324049133938 & 1.01146378440289 \tabularnewline
24 & 41713 & 41181.5949981785 & 42902.25 & 0.959893595281797 & 1.01290394414896 \tabularnewline
25 & 42025 & 42127.9408802261 & 43164.75 & 0.975980189395886 & 0.997556470169792 \tabularnewline
26 & 42169 & 43217.6625942108 & 43433.8333333333 & 0.995022987322727 & 0.97573532367872 \tabularnewline
27 & 46352 & 47254.7816887593 & 43767.1666666667 & 1.07968564766037 & 0.98089544260927 \tabularnewline
28 & 50939 & 52229.2694830395 & 44108.9583333333 & 1.18409664287106 & 0.975296045764942 \tabularnewline
29 & 56139 & 55208.1167229323 & 44471.625 & 1.24142341825675 & 1.01686134815537 \tabularnewline
30 & 52713 & 52512.4300904873 & 44866.125 & 1.17042490499207 & 1.00381947491607 \tabularnewline
31 & 38532 & 39095.6694299742 & 45278.75 & 0.86344409750654 & 0.985582305196645 \tabularnewline
32 & 37860 & 38387.5092379299 & 45781.9166666667 & 0.8384862852603 & 0.986258310361832 \tabularnewline
33 & 40880 & 40129.5031379751 & 46429.625 & 0.864308146748442 & 1.01870187277038 \tabularnewline
34 & 41988 & 42230.3571235363 & 47189.5 & 0.894910035570123 & 0.994261068576158 \tabularnewline
35 & 44576 & 44673.2391383018 & 47916 & 0.932324049133938 & 0.997823324653027 \tabularnewline
36 & 46728 & 46592.2752213832 & 48539 & 0.959893595281797 & 1.00291303178417 \tabularnewline
37 & 46913 & 47959.0158534542 & 49139.3333333333 & 0.975980189395886 & 0.978189380352373 \tabularnewline
38 & 49357 & 49423.2892918135 & 49670.5 & 0.995022987322727 & 0.998658743827791 \tabularnewline
39 & 54709 & 54046.3193208569 & 50057.4583333333 & 1.07968564766037 & 1.01226134707174 \tabularnewline
40 & 60819 & 59625.0384396919 & 50354.875 & 1.18409664287106 & 1.02002449963224 \tabularnewline
41 & 63695 & 62873.3373449344 & 50646.1666666667 & 1.24142341825675 & 1.01306853890319 \tabularnewline
42 & 60109 & 59564.6302846995 & 50891.4583333333 & 1.17042490499207 & 1.00913914369482 \tabularnewline
43 & 45544 & 44191.7524702952 & 51180.7916666667 & 0.86344409750654 & 1.03059954525709 \tabularnewline
44 & 43596 & 43195.9136515408 & 51516.5416666667 & 0.8384862852603 & 1.00926213418442 \tabularnewline
45 & 44431 & 44757.2610455424 & 51783.9166666667 & 0.864308146748442 & 0.992710433169481 \tabularnewline
46 & 45575 & 46526.9320680629 & 51990.625 & 0.894910035570123 & 0.979540192620688 \tabularnewline
47 & 47980 & 48587.7181990968 & 52114.625 & 0.932324049133938 & 0.987492349473862 \tabularnewline
48 & 49211 & 50093.8470702717 & 52186.875 & 0.959893595281797 & 0.982376137551718 \tabularnewline
49 & 51374 & 50946.3285498301 & 52200.1666666667 & 0.975980189395886 & 1.00839454897621 \tabularnewline
50 & 52954 & 51911.5101087785 & 52171.1666666667 & 0.995022987322727 & 1.02008205673534 \tabularnewline
51 & 57529 & 56368.1383192486 & 52207.9166666667 & 1.07968564766037 & 1.02059428810965 \tabularnewline
52 & 62960 & 61969.1550936956 & 52334.5416666667 & 1.18409664287106 & 1.01598932412111 \tabularnewline
53 & 64530 & 65146.487075714 & 52477.25 & 1.24142341825675 & 0.990536909918143 \tabularnewline
54 & 61008 & 61575.9079485196 & 52609.875 & 1.17042490499207 & 0.990777108004735 \tabularnewline
55 & 44964 & 45555.670352819 & 52760.4166666667 & 0.86344409750654 & 0.987012146935022 \tabularnewline
56 & 43480 & 44384.8173301828 & 52934.4583333333 & 0.8384862852603 & 0.97961426035728 \tabularnewline
57 & 45429 & 45929.5870080884 & 53140.2916666667 & 0.864308146748442 & 0.989100990435638 \tabularnewline
58 & 47616 & 47759.4469145519 & 53367.875 & 0.894910035570123 & 0.996996470356775 \tabularnewline
59 & 49364 & 49965.2658285275 & 53592.1666666667 & 0.932324049133938 & 0.987966323834021 \tabularnewline
60 & 51010 & 51647.0348985706 & 53804.9583333333 & 0.959893595281797 & 0.987665605589523 \tabularnewline
61 & 53188 & 52726.0690910347 & 54023.7083333333 & 0.975980189395886 & 1.00876095860982 \tabularnewline
62 & 55317 & 53962.335404233 & 54232.25 & 0.995022987322727 & 1.02510389117927 \tabularnewline
63 & 60106 & 58772.4183089803 & 54434.75 & 1.07968564766037 & 1.02269060435813 \tabularnewline
64 & 65845 & 64704.4676760879 & 54644.5833333333 & 1.18409664287106 & 1.01762679402018 \tabularnewline
65 & 67028 & 68118.1443831661 & 54871 & 1.24142341825675 & 0.983996270112203 \tabularnewline
66 & 63617 & 64483.779857268 & 55094.3333333333 & 1.17042490499207 & 0.98655817231579 \tabularnewline
67 & 47605 & 47700.5734215374 & 55244.5416666667 & 0.86344409750654 & 0.997996388414604 \tabularnewline
68 & 45844 & 46357.9851809716 & 55287.7083333333 & 0.8384862852603 & 0.988912693703898 \tabularnewline
69 & 47925 & 47754.5736599477 & 55251.7916666667 & 0.864308146748442 & 1.00356879617994 \tabularnewline
70 & 50156 & 49375.0578321011 & 55173.2083333333 & 0.894910035570123 & 1.01581653171029 \tabularnewline
71 & 52258 & 51363.6742085577 & 55092.0833333333 & 0.932324049133938 & 1.01741163974779 \tabularnewline
72 & 53476 & 52814.8254483639 & 55021.5416666667 & 0.959893595281797 & 1.01251873022439 \tabularnewline
73 & 54327 & 53582.369709706 & 54901.0833333333 & 0.975980189395886 & 1.01389692718572 \tabularnewline
74 & 55214 & 54454.6230272109 & 54727 & 0.995022987322727 & 1.01394513322422 \tabularnewline
75 & 59347 & 58889.6091886534 & 54543.2916666667 & 1.07968564766037 & 1.00776691877647 \tabularnewline
76 & 64718 & 64322.201809881 & 54321.75 & 1.18409664287106 & 1.00615336818365 \tabularnewline
77 & 66208 & 67104.2635322807 & 54054.2916666667 & 1.24142341825675 & 0.986643717029253 \tabularnewline
78 & 62744 & 62980.5641376232 & 53810 & 1.17042490499207 & 0.996243854896151 \tabularnewline
79 & 45587 & 46280.5676495131 & 53599.9583333333 & 0.86344409750654 & 0.985013847393456 \tabularnewline
80 & 43684 & NA & NA & 0.8384862852603 & NA \tabularnewline
81 & 45676 & NA & NA & 0.864308146748442 & NA \tabularnewline
82 & 47088 & NA & NA & 0.894910035570123 & NA \tabularnewline
83 & 48907 & NA & NA & 0.932324049133938 & NA \tabularnewline
84 & 50964 & NA & NA & 0.959893595281797 & NA \tabularnewline
85 & 51798 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76682&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]43657[/C][C]NA[/C][C]NA[/C][C]0.975980189395886[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]42811[/C][C]NA[/C][C]NA[/C][C]0.995022987322727[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]45419[/C][C]NA[/C][C]NA[/C][C]1.07968564766037[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]50846[/C][C]NA[/C][C]NA[/C][C]1.18409664287106[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]54500[/C][C]NA[/C][C]NA[/C][C]1.24142341825675[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]51035[/C][C]NA[/C][C]NA[/C][C]1.17042490499207[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]38675[/C][C]37493.0452313273[/C][C]43422.6666666667[/C][C]0.86344409750654[/C][C]1.03152464040678[/C][/ROW]
[ROW][C]8[/C][C]36214[/C][C]36197.9420516869[/C][C]43170.5833333333[/C][C]0.8384862852603[/C][C]1.00044361495165[/C][/ROW]
[ROW][C]9[/C][C]38763[/C][C]37111.0149739746[/C][C]42937.25[/C][C]0.864308146748442[/C][C]1.04451468188579[/C][/ROW]
[ROW][C]10[/C][C]39486[/C][C]38182.9027601615[/C][C]42666.75[/C][C]0.894910035570123[/C][C]1.03412776781335[/C][/ROW]
[ROW][C]11[/C][C]40540[/C][C]39517.5648402619[/C][C]42386.0833333333[/C][C]0.932324049133938[/C][C]1.02587292926249[/C][/ROW]
[ROW][C]12[/C][C]40719[/C][C]40478.4729396346[/C][C]42169.75[/C][C]0.959893595281797[/C][C]1.00594209817955[/C][/ROW]
[ROW][C]13[/C][C]40471[/C][C]40963.0678583408[/C][C]41971.2083333333[/C][C]0.975980189395886[/C][C]0.987987524273267[/C][/ROW]
[ROW][C]14[/C][C]39947[/C][C]41556.8863097869[/C][C]41764.75[/C][C]0.995022987322727[/C][C]0.961260660921853[/C][/ROW]
[ROW][C]15[/C][C]42683[/C][C]44902.1916494094[/C][C]41588.2083333333[/C][C]1.07968564766037[/C][C]0.950577208641918[/C][/ROW]
[ROW][C]16[/C][C]47090[/C][C]49067.6327718535[/C][C]41438.875[/C][C]1.18409664287106[/C][C]0.959695777845065[/C][/ROW]
[ROW][C]17[/C][C]51520[/C][C]51331.1513877165[/C][C]41348.625[/C][C]1.24142341825675[/C][C]1.00367902544903[/C][/ROW]
[ROW][C]18[/C][C]48823[/C][C]48423.5994526018[/C][C]41372.6666666667[/C][C]1.17042490499207[/C][C]1.00824805573962[/C][/ROW]
[ROW][C]19[/C][C]36122[/C][C]35814.6538131241[/C][C]41478.8333333333[/C][C]0.86344409750654[/C][C]1.00858157637037[/C][/ROW]
[ROW][C]20[/C][C]33812[/C][C]34911.3547208121[/C][C]41636.1666666667[/C][C]0.8384862852603[/C][C]0.968510109974143[/C][/ROW]
[ROW][C]21[/C][C]36928[/C][C]36198.6296865632[/C][C]41881.625[/C][C]0.864308146748442[/C][C]1.02014911392371[/C][/ROW]
[ROW][C]22[/C][C]37737[/C][C]37760.6170871269[/C][C]42194.875[/C][C]0.894910035570123[/C][C]0.999374557701946[/C][/ROW]
[ROW][C]23[/C][C]40123[/C][C]39668.2517147031[/C][C]42547.7083333333[/C][C]0.932324049133938[/C][C]1.01146378440289[/C][/ROW]
[ROW][C]24[/C][C]41713[/C][C]41181.5949981785[/C][C]42902.25[/C][C]0.959893595281797[/C][C]1.01290394414896[/C][/ROW]
[ROW][C]25[/C][C]42025[/C][C]42127.9408802261[/C][C]43164.75[/C][C]0.975980189395886[/C][C]0.997556470169792[/C][/ROW]
[ROW][C]26[/C][C]42169[/C][C]43217.6625942108[/C][C]43433.8333333333[/C][C]0.995022987322727[/C][C]0.97573532367872[/C][/ROW]
[ROW][C]27[/C][C]46352[/C][C]47254.7816887593[/C][C]43767.1666666667[/C][C]1.07968564766037[/C][C]0.98089544260927[/C][/ROW]
[ROW][C]28[/C][C]50939[/C][C]52229.2694830395[/C][C]44108.9583333333[/C][C]1.18409664287106[/C][C]0.975296045764942[/C][/ROW]
[ROW][C]29[/C][C]56139[/C][C]55208.1167229323[/C][C]44471.625[/C][C]1.24142341825675[/C][C]1.01686134815537[/C][/ROW]
[ROW][C]30[/C][C]52713[/C][C]52512.4300904873[/C][C]44866.125[/C][C]1.17042490499207[/C][C]1.00381947491607[/C][/ROW]
[ROW][C]31[/C][C]38532[/C][C]39095.6694299742[/C][C]45278.75[/C][C]0.86344409750654[/C][C]0.985582305196645[/C][/ROW]
[ROW][C]32[/C][C]37860[/C][C]38387.5092379299[/C][C]45781.9166666667[/C][C]0.8384862852603[/C][C]0.986258310361832[/C][/ROW]
[ROW][C]33[/C][C]40880[/C][C]40129.5031379751[/C][C]46429.625[/C][C]0.864308146748442[/C][C]1.01870187277038[/C][/ROW]
[ROW][C]34[/C][C]41988[/C][C]42230.3571235363[/C][C]47189.5[/C][C]0.894910035570123[/C][C]0.994261068576158[/C][/ROW]
[ROW][C]35[/C][C]44576[/C][C]44673.2391383018[/C][C]47916[/C][C]0.932324049133938[/C][C]0.997823324653027[/C][/ROW]
[ROW][C]36[/C][C]46728[/C][C]46592.2752213832[/C][C]48539[/C][C]0.959893595281797[/C][C]1.00291303178417[/C][/ROW]
[ROW][C]37[/C][C]46913[/C][C]47959.0158534542[/C][C]49139.3333333333[/C][C]0.975980189395886[/C][C]0.978189380352373[/C][/ROW]
[ROW][C]38[/C][C]49357[/C][C]49423.2892918135[/C][C]49670.5[/C][C]0.995022987322727[/C][C]0.998658743827791[/C][/ROW]
[ROW][C]39[/C][C]54709[/C][C]54046.3193208569[/C][C]50057.4583333333[/C][C]1.07968564766037[/C][C]1.01226134707174[/C][/ROW]
[ROW][C]40[/C][C]60819[/C][C]59625.0384396919[/C][C]50354.875[/C][C]1.18409664287106[/C][C]1.02002449963224[/C][/ROW]
[ROW][C]41[/C][C]63695[/C][C]62873.3373449344[/C][C]50646.1666666667[/C][C]1.24142341825675[/C][C]1.01306853890319[/C][/ROW]
[ROW][C]42[/C][C]60109[/C][C]59564.6302846995[/C][C]50891.4583333333[/C][C]1.17042490499207[/C][C]1.00913914369482[/C][/ROW]
[ROW][C]43[/C][C]45544[/C][C]44191.7524702952[/C][C]51180.7916666667[/C][C]0.86344409750654[/C][C]1.03059954525709[/C][/ROW]
[ROW][C]44[/C][C]43596[/C][C]43195.9136515408[/C][C]51516.5416666667[/C][C]0.8384862852603[/C][C]1.00926213418442[/C][/ROW]
[ROW][C]45[/C][C]44431[/C][C]44757.2610455424[/C][C]51783.9166666667[/C][C]0.864308146748442[/C][C]0.992710433169481[/C][/ROW]
[ROW][C]46[/C][C]45575[/C][C]46526.9320680629[/C][C]51990.625[/C][C]0.894910035570123[/C][C]0.979540192620688[/C][/ROW]
[ROW][C]47[/C][C]47980[/C][C]48587.7181990968[/C][C]52114.625[/C][C]0.932324049133938[/C][C]0.987492349473862[/C][/ROW]
[ROW][C]48[/C][C]49211[/C][C]50093.8470702717[/C][C]52186.875[/C][C]0.959893595281797[/C][C]0.982376137551718[/C][/ROW]
[ROW][C]49[/C][C]51374[/C][C]50946.3285498301[/C][C]52200.1666666667[/C][C]0.975980189395886[/C][C]1.00839454897621[/C][/ROW]
[ROW][C]50[/C][C]52954[/C][C]51911.5101087785[/C][C]52171.1666666667[/C][C]0.995022987322727[/C][C]1.02008205673534[/C][/ROW]
[ROW][C]51[/C][C]57529[/C][C]56368.1383192486[/C][C]52207.9166666667[/C][C]1.07968564766037[/C][C]1.02059428810965[/C][/ROW]
[ROW][C]52[/C][C]62960[/C][C]61969.1550936956[/C][C]52334.5416666667[/C][C]1.18409664287106[/C][C]1.01598932412111[/C][/ROW]
[ROW][C]53[/C][C]64530[/C][C]65146.487075714[/C][C]52477.25[/C][C]1.24142341825675[/C][C]0.990536909918143[/C][/ROW]
[ROW][C]54[/C][C]61008[/C][C]61575.9079485196[/C][C]52609.875[/C][C]1.17042490499207[/C][C]0.990777108004735[/C][/ROW]
[ROW][C]55[/C][C]44964[/C][C]45555.670352819[/C][C]52760.4166666667[/C][C]0.86344409750654[/C][C]0.987012146935022[/C][/ROW]
[ROW][C]56[/C][C]43480[/C][C]44384.8173301828[/C][C]52934.4583333333[/C][C]0.8384862852603[/C][C]0.97961426035728[/C][/ROW]
[ROW][C]57[/C][C]45429[/C][C]45929.5870080884[/C][C]53140.2916666667[/C][C]0.864308146748442[/C][C]0.989100990435638[/C][/ROW]
[ROW][C]58[/C][C]47616[/C][C]47759.4469145519[/C][C]53367.875[/C][C]0.894910035570123[/C][C]0.996996470356775[/C][/ROW]
[ROW][C]59[/C][C]49364[/C][C]49965.2658285275[/C][C]53592.1666666667[/C][C]0.932324049133938[/C][C]0.987966323834021[/C][/ROW]
[ROW][C]60[/C][C]51010[/C][C]51647.0348985706[/C][C]53804.9583333333[/C][C]0.959893595281797[/C][C]0.987665605589523[/C][/ROW]
[ROW][C]61[/C][C]53188[/C][C]52726.0690910347[/C][C]54023.7083333333[/C][C]0.975980189395886[/C][C]1.00876095860982[/C][/ROW]
[ROW][C]62[/C][C]55317[/C][C]53962.335404233[/C][C]54232.25[/C][C]0.995022987322727[/C][C]1.02510389117927[/C][/ROW]
[ROW][C]63[/C][C]60106[/C][C]58772.4183089803[/C][C]54434.75[/C][C]1.07968564766037[/C][C]1.02269060435813[/C][/ROW]
[ROW][C]64[/C][C]65845[/C][C]64704.4676760879[/C][C]54644.5833333333[/C][C]1.18409664287106[/C][C]1.01762679402018[/C][/ROW]
[ROW][C]65[/C][C]67028[/C][C]68118.1443831661[/C][C]54871[/C][C]1.24142341825675[/C][C]0.983996270112203[/C][/ROW]
[ROW][C]66[/C][C]63617[/C][C]64483.779857268[/C][C]55094.3333333333[/C][C]1.17042490499207[/C][C]0.98655817231579[/C][/ROW]
[ROW][C]67[/C][C]47605[/C][C]47700.5734215374[/C][C]55244.5416666667[/C][C]0.86344409750654[/C][C]0.997996388414604[/C][/ROW]
[ROW][C]68[/C][C]45844[/C][C]46357.9851809716[/C][C]55287.7083333333[/C][C]0.8384862852603[/C][C]0.988912693703898[/C][/ROW]
[ROW][C]69[/C][C]47925[/C][C]47754.5736599477[/C][C]55251.7916666667[/C][C]0.864308146748442[/C][C]1.00356879617994[/C][/ROW]
[ROW][C]70[/C][C]50156[/C][C]49375.0578321011[/C][C]55173.2083333333[/C][C]0.894910035570123[/C][C]1.01581653171029[/C][/ROW]
[ROW][C]71[/C][C]52258[/C][C]51363.6742085577[/C][C]55092.0833333333[/C][C]0.932324049133938[/C][C]1.01741163974779[/C][/ROW]
[ROW][C]72[/C][C]53476[/C][C]52814.8254483639[/C][C]55021.5416666667[/C][C]0.959893595281797[/C][C]1.01251873022439[/C][/ROW]
[ROW][C]73[/C][C]54327[/C][C]53582.369709706[/C][C]54901.0833333333[/C][C]0.975980189395886[/C][C]1.01389692718572[/C][/ROW]
[ROW][C]74[/C][C]55214[/C][C]54454.6230272109[/C][C]54727[/C][C]0.995022987322727[/C][C]1.01394513322422[/C][/ROW]
[ROW][C]75[/C][C]59347[/C][C]58889.6091886534[/C][C]54543.2916666667[/C][C]1.07968564766037[/C][C]1.00776691877647[/C][/ROW]
[ROW][C]76[/C][C]64718[/C][C]64322.201809881[/C][C]54321.75[/C][C]1.18409664287106[/C][C]1.00615336818365[/C][/ROW]
[ROW][C]77[/C][C]66208[/C][C]67104.2635322807[/C][C]54054.2916666667[/C][C]1.24142341825675[/C][C]0.986643717029253[/C][/ROW]
[ROW][C]78[/C][C]62744[/C][C]62980.5641376232[/C][C]53810[/C][C]1.17042490499207[/C][C]0.996243854896151[/C][/ROW]
[ROW][C]79[/C][C]45587[/C][C]46280.5676495131[/C][C]53599.9583333333[/C][C]0.86344409750654[/C][C]0.985013847393456[/C][/ROW]
[ROW][C]80[/C][C]43684[/C][C]NA[/C][C]NA[/C][C]0.8384862852603[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]45676[/C][C]NA[/C][C]NA[/C][C]0.864308146748442[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]47088[/C][C]NA[/C][C]NA[/C][C]0.894910035570123[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]48907[/C][C]NA[/C][C]NA[/C][C]0.932324049133938[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]50964[/C][C]NA[/C][C]NA[/C][C]0.959893595281797[/C][C]NA[/C][/ROW]
[ROW][C]85[/C][C]51798[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76682&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76682&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
143657NANA0.975980189395886NA
242811NANA0.995022987322727NA
345419NANA1.07968564766037NA
450846NANA1.18409664287106NA
554500NANA1.24142341825675NA
651035NANA1.17042490499207NA
73867537493.045231327343422.66666666670.863444097506541.03152464040678
83621436197.942051686943170.58333333330.83848628526031.00044361495165
93876337111.014973974642937.250.8643081467484421.04451468188579
103948638182.902760161542666.750.8949100355701231.03412776781335
114054039517.564840261942386.08333333330.9323240491339381.02587292926249
124071940478.472939634642169.750.9598935952817971.00594209817955
134047140963.067858340841971.20833333330.9759801893958860.987987524273267
143994741556.886309786941764.750.9950229873227270.961260660921853
154268344902.191649409441588.20833333331.079685647660370.950577208641918
164709049067.632771853541438.8751.184096642871060.959695777845065
175152051331.151387716541348.6251.241423418256751.00367902544903
184882348423.599452601841372.66666666671.170424904992071.00824805573962
193612235814.653813124141478.83333333330.863444097506541.00858157637037
203381234911.354720812141636.16666666670.83848628526030.968510109974143
213692836198.629686563241881.6250.8643081467484421.02014911392371
223773737760.617087126942194.8750.8949100355701230.999374557701946
234012339668.251714703142547.70833333330.9323240491339381.01146378440289
244171341181.594998178542902.250.9598935952817971.01290394414896
254202542127.940880226143164.750.9759801893958860.997556470169792
264216943217.662594210843433.83333333330.9950229873227270.97573532367872
274635247254.781688759343767.16666666671.079685647660370.98089544260927
285093952229.269483039544108.95833333331.184096642871060.975296045764942
295613955208.116722932344471.6251.241423418256751.01686134815537
305271352512.430090487344866.1251.170424904992071.00381947491607
313853239095.669429974245278.750.863444097506540.985582305196645
323786038387.509237929945781.91666666670.83848628526030.986258310361832
334088040129.503137975146429.6250.8643081467484421.01870187277038
344198842230.357123536347189.50.8949100355701230.994261068576158
354457644673.2391383018479160.9323240491339380.997823324653027
364672846592.2752213832485390.9598935952817971.00291303178417
374691347959.015853454249139.33333333330.9759801893958860.978189380352373
384935749423.289291813549670.50.9950229873227270.998658743827791
395470954046.319320856950057.45833333331.079685647660371.01226134707174
406081959625.038439691950354.8751.184096642871061.02002449963224
416369562873.337344934450646.16666666671.241423418256751.01306853890319
426010959564.630284699550891.45833333331.170424904992071.00913914369482
434554444191.752470295251180.79166666670.863444097506541.03059954525709
444359643195.913651540851516.54166666670.83848628526031.00926213418442
454443144757.261045542451783.91666666670.8643081467484420.992710433169481
464557546526.932068062951990.6250.8949100355701230.979540192620688
474798048587.718199096852114.6250.9323240491339380.987492349473862
484921150093.847070271752186.8750.9598935952817970.982376137551718
495137450946.328549830152200.16666666670.9759801893958861.00839454897621
505295451911.510108778552171.16666666670.9950229873227271.02008205673534
515752956368.138319248652207.91666666671.079685647660371.02059428810965
526296061969.155093695652334.54166666671.184096642871061.01598932412111
536453065146.48707571452477.251.241423418256750.990536909918143
546100861575.907948519652609.8751.170424904992070.990777108004735
554496445555.67035281952760.41666666670.863444097506540.987012146935022
564348044384.817330182852934.45833333330.83848628526030.97961426035728
574542945929.587008088453140.29166666670.8643081467484420.989100990435638
584761647759.446914551953367.8750.8949100355701230.996996470356775
594936449965.265828527553592.16666666670.9323240491339380.987966323834021
605101051647.034898570653804.95833333330.9598935952817970.987665605589523
615318852726.069091034754023.70833333330.9759801893958861.00876095860982
625531753962.33540423354232.250.9950229873227271.02510389117927
636010658772.418308980354434.751.079685647660371.02269060435813
646584564704.467676087954644.58333333331.184096642871061.01762679402018
656702868118.1443831661548711.241423418256750.983996270112203
666361764483.77985726855094.33333333331.170424904992070.98655817231579
674760547700.573421537455244.54166666670.863444097506540.997996388414604
684584446357.985180971655287.70833333330.83848628526030.988912693703898
694792547754.573659947755251.79166666670.8643081467484421.00356879617994
705015649375.057832101155173.20833333330.8949100355701231.01581653171029
715225851363.674208557755092.08333333330.9323240491339381.01741163974779
725347652814.825448363955021.54166666670.9598935952817971.01251873022439
735432753582.36970970654901.08333333330.9759801893958861.01389692718572
745521454454.6230272109547270.9950229873227271.01394513322422
755934758889.609188653454543.29166666671.079685647660371.00776691877647
766471864322.20180988154321.751.184096642871061.00615336818365
776620867104.263532280754054.29166666671.241423418256750.986643717029253
786274462980.5641376232538101.170424904992070.996243854896151
794558746280.567649513153599.95833333330.863444097506540.985013847393456
8043684NANA0.8384862852603NA
8145676NANA0.864308146748442NA
8247088NANA0.894910035570123NA
8348907NANA0.932324049133938NA
8450964NANA0.959893595281797NA
8551798NANANANA



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')