Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 25 May 2008 10:47:46 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/25/t1211734274qbek2u55wxpb3uy.htm/, Retrieved Wed, 15 May 2024 05:23:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13182, Retrieved Wed, 15 May 2024 05:23:05 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Opgave 9 oef 2 Cl...] [2008-05-25 16:47:46] [1e6b76cbac3599a7b5e2d7b56a39d7dc] [Current]
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Dataseries X:
516.922
514.258
509.846
527.070
541.657
564.591
555.362
498.662
511.038
525.919
531.673
548.854
560.576
557.274
565.742
587.625
619.916
625.809
619.567
572.942
572.775
574.205
579.799
590.072
593.408
597.141
595.404
612.117
628.232
628.884
620.735
569.028
567.456
573.100
584.428
589.379
590.865
595.454
594.167
611.324
612.613
610.763
593.530
542.722
536.662
543.599
555.332
560.854
562.325
554.788
547.344
565.464
577.992
579.714
569.323
506.971
500.857
509.127
509.933
517.009
519.164
512.238
509.239
518.585
522.975
525.192
516.847
455.626
454.724
461.251
470.439
474.605
476.049
471.067
470.984
502.831
512.927
509.673
484.015
431.328
436.087
442.867
447.988
460.070
467.037
460.170
464.196
485.025
501.492
520.564
488.180
439.148
441.977
456.608
461.935
480.961
492.865




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 7 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13182&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13182&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 time7 seconds
R Server'George Udny Yule' @ 72.249.76.132







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1516.922NANA-0.723846643518504NA
2514.258NANA-2.16495081018522NA
3509.846NANA-2.02386053240742NA
4527.07NANA18.2510491898148NA
5541.657NANA32.1937783564815NA
6564.591NANA34.2881464120371NA
7555.362553.524528356482530.63991666666722.88461168981481.83747164351837
8498.662504.22635474537534.251166666667-30.0248119212963-5.56435474537045
9511.038508.051201967593538.3725-30.32129803240742.98679803240748
10525.919520.252340856481543.224625-22.97228414351855.66665914351859
11531.673534.866146412037549.008541666667-14.1423952546296-3.19314641203698
12548.854549.575945023148554.820083333333-5.24413831018516-0.721945023148237
13560.576559.322195023148560.046041666667-0.7238466435185041.25380497685194
14557.274563.651299189815565.81625-2.16495081018522-6.37729918981483
15565.742569.459764467593571.483625-2.02386053240742-3.7177644675927
16587.625594.318965856482576.06791666666718.2510491898148-6.69396585648155
17619.916612.278861689815580.08508333333332.19377835648157.63713831018515
18625.809618.095896412037583.8077534.28814641203717.7131035879629
19619.567609.777778356481586.89316666666722.88461168981489.78922164351854
20572.942559.89747974537589.922291666667-30.024811921296313.0445202546297
21572.775562.498035300926592.819333333333-30.321298032407410.2769646990741
22574.205572.103465856481595.07575-22.97228414351852.10153414351862
23579.799582.30035474537596.44275-14.1423952546296-2.50135474537035
24590.072591.673236689815596.917375-5.24413831018516-1.60123668981487
25593.408596.370320023148597.094166666667-0.723846643518504-2.96232002314810
26597.141594.814799189815596.97975-2.164950810185222.32620081018524
27595.404594.571181134259596.595041666667-2.023860532407420.832818865740705
28612.117614.578424189815596.32737518.2510491898148-2.46142418981492
29628.232628.667986689815596.47420833333332.1937783564815-0.435986689814854
30628.884630.92635474537596.63820833333334.2881464120371-2.04235474537029
31620.735619.387986689815596.50337522.88461168981481.34701331018528
32569.028566.302313078704596.327125-30.02481192129632.72568692129641
33567.456565.883993634259596.205291666667-30.32129803240741.57200636574089
34573.1573.148424189815596.120708333333-22.9722841435185-0.048424189814682
35584.428581.29447974537595.436875-14.14239525462963.13352025462962
36589.379588.786903356482594.031041666667-5.244138310185160.592096643518516
37590.865591.418611689815592.142458333333-0.723846643518504-0.553611689814716
38595.454587.747882523148589.912833333333-2.164950810185227.70611747685177
39594.167585.509806134259587.533666666667-2.023860532407428.65719386574085
40611.324603.272424189815585.02137518.25104918981488.05157581018511
41612.613614.773611689815582.57983333333332.1937783564815-2.16061168981491
42610.763614.46710474537580.17895833333334.2881464120371-3.70410474537039
43593.53600.685861689815577.8012522.8846116898148-7.15586168981486
44542.722544.89285474537574.917666666667-30.0248119212963-2.17085474537032
45536.662540.950993634259571.272291666667-30.3212980324074-4.28899363425921
46543.599544.438215856481567.4105-22.9722841435185-0.83921585648136
47555.332549.91472974537564.057125-14.14239525462965.41727025462967
48560.854556.076736689815561.320875-5.244138310185164.77726331018516
49562.325558.294695023148559.018541666667-0.7238466435185044.03030497685188
50554.788554.355340856481556.520291666667-2.164950810185220.432659143518549
51547.344551.514931134259553.538791666667-2.02386053240742-4.17093113425926
52565.464568.861632523148550.61058333333318.2510491898148-3.39763252314810
53577.992579.476403356481547.28262532.1937783564815-1.48440335648149
54579.714577.852271412037543.56412534.28814641203711.86172858796306
55569.323562.823486689815539.93887522.88461168981486.49951331018508
56506.971506.342771412037536.367583333333-30.02481192129630.628228587962894
57500.857502.685660300926533.006958333333-30.3212980324074-1.82866030092600
58509.127506.493674189815529.465958333333-22.97228414351852.63332581018517
59509.933511.077896412037525.220291666667-14.1423952546296-1.14489641203716
60517.009515.412028356482520.656166666667-5.244138310185161.59697164351849
61519.164515.474070023148516.197916666667-0.7238466435185043.68992997685177
62512.238509.707090856481511.872041666667-2.164950810185222.53090914351861
63509.239505.786597800926507.810458333333-2.023860532407423.45240219907407
64518.585522.144465856481503.89341666666718.2510491898148-3.55946585648138
65522.975532.446778356481500.25332.1937783564815-9.47177835648142
66525.192531.12872974537496.84058333333334.2881464120371-5.93672974537037
67516.847516.161903356482493.27729166666722.88461168981480.685096643518534
68455.626459.740563078704489.765375-30.0248119212963-4.11456307870372
69454.724456.134660300926486.455958333333-30.3212980324074-1.41066030092600
70461.251461.233299189815484.205583333333-22.97228414351850.0177008101851470
71470.439468.98810474537483.1305-14.14239525462961.45089525462964
72474.605476.821070023148482.065208333333-5.24413831018516-2.21607002314806
73476.049479.326736689815480.050583333333-0.723846643518504-3.27773668981479
74471.067475.505215856481477.670166666667-2.16495081018522-4.43821585648135
75470.984473.857347800926475.881208333333-2.02386053240742-2.87334780092584
76502.831492.589715856481474.33866666666718.251049189814810.2412841435186
77512.927504.830986689815472.63720833333332.19377835648158.0960133101853
78509.673505.384271412037471.09612534.28814641203714.28872858796296
79484.015492.999611689815470.11522.8846116898148-8.98461168981481
80431.328439.260646412037469.285458333333-30.0248119212963-7.93264641203706
81436.087438.227285300926468.548583333333-30.3212980324074-2.14028530092594
82442.867444.551549189815467.523833333333-22.9722841435185-1.68454918981490
83447.988452.163063078704466.305458333333-14.1423952546296-4.17506307870366
84460.07461.038653356481466.282791666667-5.24413831018516-0.968653356481468
85467.037466.186278356481466.910125-0.7238466435185040.850721643518568
86460.17465.244549189815467.4095-2.16495081018522-5.07454918981460
87464.196465.956889467593467.98075-2.02386053240742-1.76088946759256
88485.025487.049757523148468.79870833333318.2510491898148-2.02475752314803
89501.492502.146153356481469.95237532.1937783564815-0.654153356481402
90520.564505.69210474537471.40395833333334.288146412037114.8718952546296
91488.18496.235195023148473.35058333333322.8846116898148-8.05519502314803
92439.148NANA-30.0248119212963NA
93441.977NANA-30.3212980324074NA
94456.608NANA-22.9722841435185NA
95461.935NANA-14.1423952546296NA
96480.961NANA-5.24413831018516NA
97492.865NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 516.922 & NA & NA & -0.723846643518504 & NA \tabularnewline
2 & 514.258 & NA & NA & -2.16495081018522 & NA \tabularnewline
3 & 509.846 & NA & NA & -2.02386053240742 & NA \tabularnewline
4 & 527.07 & NA & NA & 18.2510491898148 & NA \tabularnewline
5 & 541.657 & NA & NA & 32.1937783564815 & NA \tabularnewline
6 & 564.591 & NA & NA & 34.2881464120371 & NA \tabularnewline
7 & 555.362 & 553.524528356482 & 530.639916666667 & 22.8846116898148 & 1.83747164351837 \tabularnewline
8 & 498.662 & 504.22635474537 & 534.251166666667 & -30.0248119212963 & -5.56435474537045 \tabularnewline
9 & 511.038 & 508.051201967593 & 538.3725 & -30.3212980324074 & 2.98679803240748 \tabularnewline
10 & 525.919 & 520.252340856481 & 543.224625 & -22.9722841435185 & 5.66665914351859 \tabularnewline
11 & 531.673 & 534.866146412037 & 549.008541666667 & -14.1423952546296 & -3.19314641203698 \tabularnewline
12 & 548.854 & 549.575945023148 & 554.820083333333 & -5.24413831018516 & -0.721945023148237 \tabularnewline
13 & 560.576 & 559.322195023148 & 560.046041666667 & -0.723846643518504 & 1.25380497685194 \tabularnewline
14 & 557.274 & 563.651299189815 & 565.81625 & -2.16495081018522 & -6.37729918981483 \tabularnewline
15 & 565.742 & 569.459764467593 & 571.483625 & -2.02386053240742 & -3.7177644675927 \tabularnewline
16 & 587.625 & 594.318965856482 & 576.067916666667 & 18.2510491898148 & -6.69396585648155 \tabularnewline
17 & 619.916 & 612.278861689815 & 580.085083333333 & 32.1937783564815 & 7.63713831018515 \tabularnewline
18 & 625.809 & 618.095896412037 & 583.80775 & 34.2881464120371 & 7.7131035879629 \tabularnewline
19 & 619.567 & 609.777778356481 & 586.893166666667 & 22.8846116898148 & 9.78922164351854 \tabularnewline
20 & 572.942 & 559.89747974537 & 589.922291666667 & -30.0248119212963 & 13.0445202546297 \tabularnewline
21 & 572.775 & 562.498035300926 & 592.819333333333 & -30.3212980324074 & 10.2769646990741 \tabularnewline
22 & 574.205 & 572.103465856481 & 595.07575 & -22.9722841435185 & 2.10153414351862 \tabularnewline
23 & 579.799 & 582.30035474537 & 596.44275 & -14.1423952546296 & -2.50135474537035 \tabularnewline
24 & 590.072 & 591.673236689815 & 596.917375 & -5.24413831018516 & -1.60123668981487 \tabularnewline
25 & 593.408 & 596.370320023148 & 597.094166666667 & -0.723846643518504 & -2.96232002314810 \tabularnewline
26 & 597.141 & 594.814799189815 & 596.97975 & -2.16495081018522 & 2.32620081018524 \tabularnewline
27 & 595.404 & 594.571181134259 & 596.595041666667 & -2.02386053240742 & 0.832818865740705 \tabularnewline
28 & 612.117 & 614.578424189815 & 596.327375 & 18.2510491898148 & -2.46142418981492 \tabularnewline
29 & 628.232 & 628.667986689815 & 596.474208333333 & 32.1937783564815 & -0.435986689814854 \tabularnewline
30 & 628.884 & 630.92635474537 & 596.638208333333 & 34.2881464120371 & -2.04235474537029 \tabularnewline
31 & 620.735 & 619.387986689815 & 596.503375 & 22.8846116898148 & 1.34701331018528 \tabularnewline
32 & 569.028 & 566.302313078704 & 596.327125 & -30.0248119212963 & 2.72568692129641 \tabularnewline
33 & 567.456 & 565.883993634259 & 596.205291666667 & -30.3212980324074 & 1.57200636574089 \tabularnewline
34 & 573.1 & 573.148424189815 & 596.120708333333 & -22.9722841435185 & -0.048424189814682 \tabularnewline
35 & 584.428 & 581.29447974537 & 595.436875 & -14.1423952546296 & 3.13352025462962 \tabularnewline
36 & 589.379 & 588.786903356482 & 594.031041666667 & -5.24413831018516 & 0.592096643518516 \tabularnewline
37 & 590.865 & 591.418611689815 & 592.142458333333 & -0.723846643518504 & -0.553611689814716 \tabularnewline
38 & 595.454 & 587.747882523148 & 589.912833333333 & -2.16495081018522 & 7.70611747685177 \tabularnewline
39 & 594.167 & 585.509806134259 & 587.533666666667 & -2.02386053240742 & 8.65719386574085 \tabularnewline
40 & 611.324 & 603.272424189815 & 585.021375 & 18.2510491898148 & 8.05157581018511 \tabularnewline
41 & 612.613 & 614.773611689815 & 582.579833333333 & 32.1937783564815 & -2.16061168981491 \tabularnewline
42 & 610.763 & 614.46710474537 & 580.178958333333 & 34.2881464120371 & -3.70410474537039 \tabularnewline
43 & 593.53 & 600.685861689815 & 577.80125 & 22.8846116898148 & -7.15586168981486 \tabularnewline
44 & 542.722 & 544.89285474537 & 574.917666666667 & -30.0248119212963 & -2.17085474537032 \tabularnewline
45 & 536.662 & 540.950993634259 & 571.272291666667 & -30.3212980324074 & -4.28899363425921 \tabularnewline
46 & 543.599 & 544.438215856481 & 567.4105 & -22.9722841435185 & -0.83921585648136 \tabularnewline
47 & 555.332 & 549.91472974537 & 564.057125 & -14.1423952546296 & 5.41727025462967 \tabularnewline
48 & 560.854 & 556.076736689815 & 561.320875 & -5.24413831018516 & 4.77726331018516 \tabularnewline
49 & 562.325 & 558.294695023148 & 559.018541666667 & -0.723846643518504 & 4.03030497685188 \tabularnewline
50 & 554.788 & 554.355340856481 & 556.520291666667 & -2.16495081018522 & 0.432659143518549 \tabularnewline
51 & 547.344 & 551.514931134259 & 553.538791666667 & -2.02386053240742 & -4.17093113425926 \tabularnewline
52 & 565.464 & 568.861632523148 & 550.610583333333 & 18.2510491898148 & -3.39763252314810 \tabularnewline
53 & 577.992 & 579.476403356481 & 547.282625 & 32.1937783564815 & -1.48440335648149 \tabularnewline
54 & 579.714 & 577.852271412037 & 543.564125 & 34.2881464120371 & 1.86172858796306 \tabularnewline
55 & 569.323 & 562.823486689815 & 539.938875 & 22.8846116898148 & 6.49951331018508 \tabularnewline
56 & 506.971 & 506.342771412037 & 536.367583333333 & -30.0248119212963 & 0.628228587962894 \tabularnewline
57 & 500.857 & 502.685660300926 & 533.006958333333 & -30.3212980324074 & -1.82866030092600 \tabularnewline
58 & 509.127 & 506.493674189815 & 529.465958333333 & -22.9722841435185 & 2.63332581018517 \tabularnewline
59 & 509.933 & 511.077896412037 & 525.220291666667 & -14.1423952546296 & -1.14489641203716 \tabularnewline
60 & 517.009 & 515.412028356482 & 520.656166666667 & -5.24413831018516 & 1.59697164351849 \tabularnewline
61 & 519.164 & 515.474070023148 & 516.197916666667 & -0.723846643518504 & 3.68992997685177 \tabularnewline
62 & 512.238 & 509.707090856481 & 511.872041666667 & -2.16495081018522 & 2.53090914351861 \tabularnewline
63 & 509.239 & 505.786597800926 & 507.810458333333 & -2.02386053240742 & 3.45240219907407 \tabularnewline
64 & 518.585 & 522.144465856481 & 503.893416666667 & 18.2510491898148 & -3.55946585648138 \tabularnewline
65 & 522.975 & 532.446778356481 & 500.253 & 32.1937783564815 & -9.47177835648142 \tabularnewline
66 & 525.192 & 531.12872974537 & 496.840583333333 & 34.2881464120371 & -5.93672974537037 \tabularnewline
67 & 516.847 & 516.161903356482 & 493.277291666667 & 22.8846116898148 & 0.685096643518534 \tabularnewline
68 & 455.626 & 459.740563078704 & 489.765375 & -30.0248119212963 & -4.11456307870372 \tabularnewline
69 & 454.724 & 456.134660300926 & 486.455958333333 & -30.3212980324074 & -1.41066030092600 \tabularnewline
70 & 461.251 & 461.233299189815 & 484.205583333333 & -22.9722841435185 & 0.0177008101851470 \tabularnewline
71 & 470.439 & 468.98810474537 & 483.1305 & -14.1423952546296 & 1.45089525462964 \tabularnewline
72 & 474.605 & 476.821070023148 & 482.065208333333 & -5.24413831018516 & -2.21607002314806 \tabularnewline
73 & 476.049 & 479.326736689815 & 480.050583333333 & -0.723846643518504 & -3.27773668981479 \tabularnewline
74 & 471.067 & 475.505215856481 & 477.670166666667 & -2.16495081018522 & -4.43821585648135 \tabularnewline
75 & 470.984 & 473.857347800926 & 475.881208333333 & -2.02386053240742 & -2.87334780092584 \tabularnewline
76 & 502.831 & 492.589715856481 & 474.338666666667 & 18.2510491898148 & 10.2412841435186 \tabularnewline
77 & 512.927 & 504.830986689815 & 472.637208333333 & 32.1937783564815 & 8.0960133101853 \tabularnewline
78 & 509.673 & 505.384271412037 & 471.096125 & 34.2881464120371 & 4.28872858796296 \tabularnewline
79 & 484.015 & 492.999611689815 & 470.115 & 22.8846116898148 & -8.98461168981481 \tabularnewline
80 & 431.328 & 439.260646412037 & 469.285458333333 & -30.0248119212963 & -7.93264641203706 \tabularnewline
81 & 436.087 & 438.227285300926 & 468.548583333333 & -30.3212980324074 & -2.14028530092594 \tabularnewline
82 & 442.867 & 444.551549189815 & 467.523833333333 & -22.9722841435185 & -1.68454918981490 \tabularnewline
83 & 447.988 & 452.163063078704 & 466.305458333333 & -14.1423952546296 & -4.17506307870366 \tabularnewline
84 & 460.07 & 461.038653356481 & 466.282791666667 & -5.24413831018516 & -0.968653356481468 \tabularnewline
85 & 467.037 & 466.186278356481 & 466.910125 & -0.723846643518504 & 0.850721643518568 \tabularnewline
86 & 460.17 & 465.244549189815 & 467.4095 & -2.16495081018522 & -5.07454918981460 \tabularnewline
87 & 464.196 & 465.956889467593 & 467.98075 & -2.02386053240742 & -1.76088946759256 \tabularnewline
88 & 485.025 & 487.049757523148 & 468.798708333333 & 18.2510491898148 & -2.02475752314803 \tabularnewline
89 & 501.492 & 502.146153356481 & 469.952375 & 32.1937783564815 & -0.654153356481402 \tabularnewline
90 & 520.564 & 505.69210474537 & 471.403958333333 & 34.2881464120371 & 14.8718952546296 \tabularnewline
91 & 488.18 & 496.235195023148 & 473.350583333333 & 22.8846116898148 & -8.05519502314803 \tabularnewline
92 & 439.148 & NA & NA & -30.0248119212963 & NA \tabularnewline
93 & 441.977 & NA & NA & -30.3212980324074 & NA \tabularnewline
94 & 456.608 & NA & NA & -22.9722841435185 & NA \tabularnewline
95 & 461.935 & NA & NA & -14.1423952546296 & NA \tabularnewline
96 & 480.961 & NA & NA & -5.24413831018516 & NA \tabularnewline
97 & 492.865 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13182&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]516.922[/C][C]NA[/C][C]NA[/C][C]-0.723846643518504[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]514.258[/C][C]NA[/C][C]NA[/C][C]-2.16495081018522[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]509.846[/C][C]NA[/C][C]NA[/C][C]-2.02386053240742[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]527.07[/C][C]NA[/C][C]NA[/C][C]18.2510491898148[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]541.657[/C][C]NA[/C][C]NA[/C][C]32.1937783564815[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]564.591[/C][C]NA[/C][C]NA[/C][C]34.2881464120371[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]555.362[/C][C]553.524528356482[/C][C]530.639916666667[/C][C]22.8846116898148[/C][C]1.83747164351837[/C][/ROW]
[ROW][C]8[/C][C]498.662[/C][C]504.22635474537[/C][C]534.251166666667[/C][C]-30.0248119212963[/C][C]-5.56435474537045[/C][/ROW]
[ROW][C]9[/C][C]511.038[/C][C]508.051201967593[/C][C]538.3725[/C][C]-30.3212980324074[/C][C]2.98679803240748[/C][/ROW]
[ROW][C]10[/C][C]525.919[/C][C]520.252340856481[/C][C]543.224625[/C][C]-22.9722841435185[/C][C]5.66665914351859[/C][/ROW]
[ROW][C]11[/C][C]531.673[/C][C]534.866146412037[/C][C]549.008541666667[/C][C]-14.1423952546296[/C][C]-3.19314641203698[/C][/ROW]
[ROW][C]12[/C][C]548.854[/C][C]549.575945023148[/C][C]554.820083333333[/C][C]-5.24413831018516[/C][C]-0.721945023148237[/C][/ROW]
[ROW][C]13[/C][C]560.576[/C][C]559.322195023148[/C][C]560.046041666667[/C][C]-0.723846643518504[/C][C]1.25380497685194[/C][/ROW]
[ROW][C]14[/C][C]557.274[/C][C]563.651299189815[/C][C]565.81625[/C][C]-2.16495081018522[/C][C]-6.37729918981483[/C][/ROW]
[ROW][C]15[/C][C]565.742[/C][C]569.459764467593[/C][C]571.483625[/C][C]-2.02386053240742[/C][C]-3.7177644675927[/C][/ROW]
[ROW][C]16[/C][C]587.625[/C][C]594.318965856482[/C][C]576.067916666667[/C][C]18.2510491898148[/C][C]-6.69396585648155[/C][/ROW]
[ROW][C]17[/C][C]619.916[/C][C]612.278861689815[/C][C]580.085083333333[/C][C]32.1937783564815[/C][C]7.63713831018515[/C][/ROW]
[ROW][C]18[/C][C]625.809[/C][C]618.095896412037[/C][C]583.80775[/C][C]34.2881464120371[/C][C]7.7131035879629[/C][/ROW]
[ROW][C]19[/C][C]619.567[/C][C]609.777778356481[/C][C]586.893166666667[/C][C]22.8846116898148[/C][C]9.78922164351854[/C][/ROW]
[ROW][C]20[/C][C]572.942[/C][C]559.89747974537[/C][C]589.922291666667[/C][C]-30.0248119212963[/C][C]13.0445202546297[/C][/ROW]
[ROW][C]21[/C][C]572.775[/C][C]562.498035300926[/C][C]592.819333333333[/C][C]-30.3212980324074[/C][C]10.2769646990741[/C][/ROW]
[ROW][C]22[/C][C]574.205[/C][C]572.103465856481[/C][C]595.07575[/C][C]-22.9722841435185[/C][C]2.10153414351862[/C][/ROW]
[ROW][C]23[/C][C]579.799[/C][C]582.30035474537[/C][C]596.44275[/C][C]-14.1423952546296[/C][C]-2.50135474537035[/C][/ROW]
[ROW][C]24[/C][C]590.072[/C][C]591.673236689815[/C][C]596.917375[/C][C]-5.24413831018516[/C][C]-1.60123668981487[/C][/ROW]
[ROW][C]25[/C][C]593.408[/C][C]596.370320023148[/C][C]597.094166666667[/C][C]-0.723846643518504[/C][C]-2.96232002314810[/C][/ROW]
[ROW][C]26[/C][C]597.141[/C][C]594.814799189815[/C][C]596.97975[/C][C]-2.16495081018522[/C][C]2.32620081018524[/C][/ROW]
[ROW][C]27[/C][C]595.404[/C][C]594.571181134259[/C][C]596.595041666667[/C][C]-2.02386053240742[/C][C]0.832818865740705[/C][/ROW]
[ROW][C]28[/C][C]612.117[/C][C]614.578424189815[/C][C]596.327375[/C][C]18.2510491898148[/C][C]-2.46142418981492[/C][/ROW]
[ROW][C]29[/C][C]628.232[/C][C]628.667986689815[/C][C]596.474208333333[/C][C]32.1937783564815[/C][C]-0.435986689814854[/C][/ROW]
[ROW][C]30[/C][C]628.884[/C][C]630.92635474537[/C][C]596.638208333333[/C][C]34.2881464120371[/C][C]-2.04235474537029[/C][/ROW]
[ROW][C]31[/C][C]620.735[/C][C]619.387986689815[/C][C]596.503375[/C][C]22.8846116898148[/C][C]1.34701331018528[/C][/ROW]
[ROW][C]32[/C][C]569.028[/C][C]566.302313078704[/C][C]596.327125[/C][C]-30.0248119212963[/C][C]2.72568692129641[/C][/ROW]
[ROW][C]33[/C][C]567.456[/C][C]565.883993634259[/C][C]596.205291666667[/C][C]-30.3212980324074[/C][C]1.57200636574089[/C][/ROW]
[ROW][C]34[/C][C]573.1[/C][C]573.148424189815[/C][C]596.120708333333[/C][C]-22.9722841435185[/C][C]-0.048424189814682[/C][/ROW]
[ROW][C]35[/C][C]584.428[/C][C]581.29447974537[/C][C]595.436875[/C][C]-14.1423952546296[/C][C]3.13352025462962[/C][/ROW]
[ROW][C]36[/C][C]589.379[/C][C]588.786903356482[/C][C]594.031041666667[/C][C]-5.24413831018516[/C][C]0.592096643518516[/C][/ROW]
[ROW][C]37[/C][C]590.865[/C][C]591.418611689815[/C][C]592.142458333333[/C][C]-0.723846643518504[/C][C]-0.553611689814716[/C][/ROW]
[ROW][C]38[/C][C]595.454[/C][C]587.747882523148[/C][C]589.912833333333[/C][C]-2.16495081018522[/C][C]7.70611747685177[/C][/ROW]
[ROW][C]39[/C][C]594.167[/C][C]585.509806134259[/C][C]587.533666666667[/C][C]-2.02386053240742[/C][C]8.65719386574085[/C][/ROW]
[ROW][C]40[/C][C]611.324[/C][C]603.272424189815[/C][C]585.021375[/C][C]18.2510491898148[/C][C]8.05157581018511[/C][/ROW]
[ROW][C]41[/C][C]612.613[/C][C]614.773611689815[/C][C]582.579833333333[/C][C]32.1937783564815[/C][C]-2.16061168981491[/C][/ROW]
[ROW][C]42[/C][C]610.763[/C][C]614.46710474537[/C][C]580.178958333333[/C][C]34.2881464120371[/C][C]-3.70410474537039[/C][/ROW]
[ROW][C]43[/C][C]593.53[/C][C]600.685861689815[/C][C]577.80125[/C][C]22.8846116898148[/C][C]-7.15586168981486[/C][/ROW]
[ROW][C]44[/C][C]542.722[/C][C]544.89285474537[/C][C]574.917666666667[/C][C]-30.0248119212963[/C][C]-2.17085474537032[/C][/ROW]
[ROW][C]45[/C][C]536.662[/C][C]540.950993634259[/C][C]571.272291666667[/C][C]-30.3212980324074[/C][C]-4.28899363425921[/C][/ROW]
[ROW][C]46[/C][C]543.599[/C][C]544.438215856481[/C][C]567.4105[/C][C]-22.9722841435185[/C][C]-0.83921585648136[/C][/ROW]
[ROW][C]47[/C][C]555.332[/C][C]549.91472974537[/C][C]564.057125[/C][C]-14.1423952546296[/C][C]5.41727025462967[/C][/ROW]
[ROW][C]48[/C][C]560.854[/C][C]556.076736689815[/C][C]561.320875[/C][C]-5.24413831018516[/C][C]4.77726331018516[/C][/ROW]
[ROW][C]49[/C][C]562.325[/C][C]558.294695023148[/C][C]559.018541666667[/C][C]-0.723846643518504[/C][C]4.03030497685188[/C][/ROW]
[ROW][C]50[/C][C]554.788[/C][C]554.355340856481[/C][C]556.520291666667[/C][C]-2.16495081018522[/C][C]0.432659143518549[/C][/ROW]
[ROW][C]51[/C][C]547.344[/C][C]551.514931134259[/C][C]553.538791666667[/C][C]-2.02386053240742[/C][C]-4.17093113425926[/C][/ROW]
[ROW][C]52[/C][C]565.464[/C][C]568.861632523148[/C][C]550.610583333333[/C][C]18.2510491898148[/C][C]-3.39763252314810[/C][/ROW]
[ROW][C]53[/C][C]577.992[/C][C]579.476403356481[/C][C]547.282625[/C][C]32.1937783564815[/C][C]-1.48440335648149[/C][/ROW]
[ROW][C]54[/C][C]579.714[/C][C]577.852271412037[/C][C]543.564125[/C][C]34.2881464120371[/C][C]1.86172858796306[/C][/ROW]
[ROW][C]55[/C][C]569.323[/C][C]562.823486689815[/C][C]539.938875[/C][C]22.8846116898148[/C][C]6.49951331018508[/C][/ROW]
[ROW][C]56[/C][C]506.971[/C][C]506.342771412037[/C][C]536.367583333333[/C][C]-30.0248119212963[/C][C]0.628228587962894[/C][/ROW]
[ROW][C]57[/C][C]500.857[/C][C]502.685660300926[/C][C]533.006958333333[/C][C]-30.3212980324074[/C][C]-1.82866030092600[/C][/ROW]
[ROW][C]58[/C][C]509.127[/C][C]506.493674189815[/C][C]529.465958333333[/C][C]-22.9722841435185[/C][C]2.63332581018517[/C][/ROW]
[ROW][C]59[/C][C]509.933[/C][C]511.077896412037[/C][C]525.220291666667[/C][C]-14.1423952546296[/C][C]-1.14489641203716[/C][/ROW]
[ROW][C]60[/C][C]517.009[/C][C]515.412028356482[/C][C]520.656166666667[/C][C]-5.24413831018516[/C][C]1.59697164351849[/C][/ROW]
[ROW][C]61[/C][C]519.164[/C][C]515.474070023148[/C][C]516.197916666667[/C][C]-0.723846643518504[/C][C]3.68992997685177[/C][/ROW]
[ROW][C]62[/C][C]512.238[/C][C]509.707090856481[/C][C]511.872041666667[/C][C]-2.16495081018522[/C][C]2.53090914351861[/C][/ROW]
[ROW][C]63[/C][C]509.239[/C][C]505.786597800926[/C][C]507.810458333333[/C][C]-2.02386053240742[/C][C]3.45240219907407[/C][/ROW]
[ROW][C]64[/C][C]518.585[/C][C]522.144465856481[/C][C]503.893416666667[/C][C]18.2510491898148[/C][C]-3.55946585648138[/C][/ROW]
[ROW][C]65[/C][C]522.975[/C][C]532.446778356481[/C][C]500.253[/C][C]32.1937783564815[/C][C]-9.47177835648142[/C][/ROW]
[ROW][C]66[/C][C]525.192[/C][C]531.12872974537[/C][C]496.840583333333[/C][C]34.2881464120371[/C][C]-5.93672974537037[/C][/ROW]
[ROW][C]67[/C][C]516.847[/C][C]516.161903356482[/C][C]493.277291666667[/C][C]22.8846116898148[/C][C]0.685096643518534[/C][/ROW]
[ROW][C]68[/C][C]455.626[/C][C]459.740563078704[/C][C]489.765375[/C][C]-30.0248119212963[/C][C]-4.11456307870372[/C][/ROW]
[ROW][C]69[/C][C]454.724[/C][C]456.134660300926[/C][C]486.455958333333[/C][C]-30.3212980324074[/C][C]-1.41066030092600[/C][/ROW]
[ROW][C]70[/C][C]461.251[/C][C]461.233299189815[/C][C]484.205583333333[/C][C]-22.9722841435185[/C][C]0.0177008101851470[/C][/ROW]
[ROW][C]71[/C][C]470.439[/C][C]468.98810474537[/C][C]483.1305[/C][C]-14.1423952546296[/C][C]1.45089525462964[/C][/ROW]
[ROW][C]72[/C][C]474.605[/C][C]476.821070023148[/C][C]482.065208333333[/C][C]-5.24413831018516[/C][C]-2.21607002314806[/C][/ROW]
[ROW][C]73[/C][C]476.049[/C][C]479.326736689815[/C][C]480.050583333333[/C][C]-0.723846643518504[/C][C]-3.27773668981479[/C][/ROW]
[ROW][C]74[/C][C]471.067[/C][C]475.505215856481[/C][C]477.670166666667[/C][C]-2.16495081018522[/C][C]-4.43821585648135[/C][/ROW]
[ROW][C]75[/C][C]470.984[/C][C]473.857347800926[/C][C]475.881208333333[/C][C]-2.02386053240742[/C][C]-2.87334780092584[/C][/ROW]
[ROW][C]76[/C][C]502.831[/C][C]492.589715856481[/C][C]474.338666666667[/C][C]18.2510491898148[/C][C]10.2412841435186[/C][/ROW]
[ROW][C]77[/C][C]512.927[/C][C]504.830986689815[/C][C]472.637208333333[/C][C]32.1937783564815[/C][C]8.0960133101853[/C][/ROW]
[ROW][C]78[/C][C]509.673[/C][C]505.384271412037[/C][C]471.096125[/C][C]34.2881464120371[/C][C]4.28872858796296[/C][/ROW]
[ROW][C]79[/C][C]484.015[/C][C]492.999611689815[/C][C]470.115[/C][C]22.8846116898148[/C][C]-8.98461168981481[/C][/ROW]
[ROW][C]80[/C][C]431.328[/C][C]439.260646412037[/C][C]469.285458333333[/C][C]-30.0248119212963[/C][C]-7.93264641203706[/C][/ROW]
[ROW][C]81[/C][C]436.087[/C][C]438.227285300926[/C][C]468.548583333333[/C][C]-30.3212980324074[/C][C]-2.14028530092594[/C][/ROW]
[ROW][C]82[/C][C]442.867[/C][C]444.551549189815[/C][C]467.523833333333[/C][C]-22.9722841435185[/C][C]-1.68454918981490[/C][/ROW]
[ROW][C]83[/C][C]447.988[/C][C]452.163063078704[/C][C]466.305458333333[/C][C]-14.1423952546296[/C][C]-4.17506307870366[/C][/ROW]
[ROW][C]84[/C][C]460.07[/C][C]461.038653356481[/C][C]466.282791666667[/C][C]-5.24413831018516[/C][C]-0.968653356481468[/C][/ROW]
[ROW][C]85[/C][C]467.037[/C][C]466.186278356481[/C][C]466.910125[/C][C]-0.723846643518504[/C][C]0.850721643518568[/C][/ROW]
[ROW][C]86[/C][C]460.17[/C][C]465.244549189815[/C][C]467.4095[/C][C]-2.16495081018522[/C][C]-5.07454918981460[/C][/ROW]
[ROW][C]87[/C][C]464.196[/C][C]465.956889467593[/C][C]467.98075[/C][C]-2.02386053240742[/C][C]-1.76088946759256[/C][/ROW]
[ROW][C]88[/C][C]485.025[/C][C]487.049757523148[/C][C]468.798708333333[/C][C]18.2510491898148[/C][C]-2.02475752314803[/C][/ROW]
[ROW][C]89[/C][C]501.492[/C][C]502.146153356481[/C][C]469.952375[/C][C]32.1937783564815[/C][C]-0.654153356481402[/C][/ROW]
[ROW][C]90[/C][C]520.564[/C][C]505.69210474537[/C][C]471.403958333333[/C][C]34.2881464120371[/C][C]14.8718952546296[/C][/ROW]
[ROW][C]91[/C][C]488.18[/C][C]496.235195023148[/C][C]473.350583333333[/C][C]22.8846116898148[/C][C]-8.05519502314803[/C][/ROW]
[ROW][C]92[/C][C]439.148[/C][C]NA[/C][C]NA[/C][C]-30.0248119212963[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]441.977[/C][C]NA[/C][C]NA[/C][C]-30.3212980324074[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]456.608[/C][C]NA[/C][C]NA[/C][C]-22.9722841435185[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]461.935[/C][C]NA[/C][C]NA[/C][C]-14.1423952546296[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]480.961[/C][C]NA[/C][C]NA[/C][C]-5.24413831018516[/C][C]NA[/C][/ROW]
[ROW][C]97[/C][C]492.865[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13182&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13182&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
1516.922NANA-0.723846643518504NA
2514.258NANA-2.16495081018522NA
3509.846NANA-2.02386053240742NA
4527.07NANA18.2510491898148NA
5541.657NANA32.1937783564815NA
6564.591NANA34.2881464120371NA
7555.362553.524528356482530.63991666666722.88461168981481.83747164351837
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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')