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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 23 Apr 2015 11:45:28 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Apr/23/t14297859854nrgdtat4as6sbp.htm/, Retrieved Thu, 09 May 2024 05:15:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278841, Retrieved Thu, 09 May 2024 05:15:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-04-23 10:45:28] [57f5dbee1b697c074ab0c7d81efd3c32] [Current]
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Dataseries X:
732
768
902
739
744
848
745
752
833
703
824
759
797
840
988
819
831
904
814
798
828
789
930
744
832
826
907
776
835
715
729
733
736
712
711
667
799
661
692
649
729
622
671
635
648
744
624
476
710
515
461
590
415
554
585
513
591
561
684
668
795
776
1043
964
762
1030
939
779
918
839
874
840
794
820
1003
780
607
1001
743
810
716
775
883
633
755
782
882
694
896
674
702
799
791
797
1021
738
1023
955
912
850
1011
872
1074
811
878
1081
956
812
1125
1051
1090
1028
1178
1041
1146
866
875
1116
903
887




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278841&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278841&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278841&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'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1732NANA48.1123NA
2768NANA0.83912NA
3902NANA83.6725NA
4739NANA-10.434NA
5744NANA-0.0451389NA
6848NANA15.5521NA
7745776.645781.792-5.14699-31.6447
8752737.89787.5-49.6114.11
9833776.626794.083-17.457256.3738
10703788.223801-12.7766-85.2234
11824848.057807.95840.0984-24.0567
12759721.112813.917-92.804437.8877
13797867.237819.12548.1123-70.2373
14840824.756823.9170.8391215.2442
15988909.297825.62583.672578.7025
16819818.566829-10.4340.434028
17831836.955837-0.0451389-5.95486
18904856.344840.79215.552147.6563
19814836.478841.625-5.14699-22.478
20798792.89842.5-49.615.10995
21828821.084838.542-17.45726.91551
22789820.598833.375-12.7766-31.5984
23930871.848831.7540.098458.1516
24744731.237824.042-92.804412.7627
25832860.737812.62548.1123-28.7373
26826807.214806.3750.8391218.7859
27907883.506799.83383.672523.4942
28776782.358792.792-10.434-6.35764
29835780.413780.458-0.045138954.5868
30715783.677768.12515.5521-68.6771
31729758.395763.542-5.14699-29.3947
32733705.682755.292-49.6127.3183
33736722.001739.458-17.457213.9988
34712712.432725.208-12.7766-0.431713
35711755.598715.540.0984-44.5984
36667614.404707.208-92.804452.5961
37799749.029700.91748.112349.9711
38661695.256694.4170.83912-34.2558
39692770.339686.66783.6725-78.3391
40649673.899684.333-10.434-24.8993
41729681.997682.042-0.045138947.0035
42622686.01670.45815.5521-64.0104
43671653.645658.792-5.1469917.3553
44635599.39649-49.6135.61
45648615.834633.292-17.457232.1655
46744608.432621.208-12.7766135.568
47624645.765605.66740.0984-21.765
48476496.946589.75-92.8044-20.9456
49710631.446583.33348.112378.5544
50515575.506574.6670.83912-60.5058
51461650.881567.20883.6725-189.881
52590546.774557.208-10.43443.2257
53415552.038552.083-0.0451389-137.038
54554578.135562.58315.5521-24.1354
55585568.978574.125-5.1469916.022
56513538.932588.542-49.61-25.9317
57591606.209623.667-17.4572-15.2095
58561650.723663.5-12.7766-89.7234
59684733.64693.54240.0984-49.64
60668635.029727.833-92.804432.9711
61795810.529762.41748.1123-15.5289
62776789.089788.250.83912-13.0891
631043896.631812.95883.6725146.369
64964827.733838.167-10.434136.267
65762857.622857.667-0.0451389-95.6215
661030888.302872.7515.5521141.698
67939874.728879.875-5.1469964.272
68779832.057881.667-49.61-53.0567
69918864.376881.833-17.457253.6238
70839859.723872.5-12.7766-20.7234
71874898.473858.37540.0984-24.4734
72840757.904850.708-92.804482.0961
73794889.446841.33348.1123-95.4456
74820835.297834.4580.83912-15.2975
751003911.006827.33383.672591.9942
76780805.816816.25-10.434-25.816
77607813.913813.958-0.0451389-206.913
781001821.26805.70815.5521179.74
79743790.311795.458-5.14699-47.3113
80810742.64792.25-49.6167.36
81716768.168785.625-17.4572-52.1678
82775764.223777-12.776610.7766
83883825.557785.45840.098457.4433
84633691.071783.875-92.8044-58.0706
85755816.654768.54248.1123-61.6539
86782767.214766.3750.8391214.7859
87882852.714769.04283.672529.2859
88694762.649773.083-10.434-68.6493
89896779.705779.75-0.0451389116.295
90674805.427789.87515.5521-131.427
91702800.27805.417-5.14699-98.2697
92799774.182823.792-49.6124.8183
93791814.793832.25-17.4572-23.7928
94797827.223840-12.7766-30.2234
951021891.39851.29240.0984129.61
96738771.529864.333-92.8044-33.5289
971023936.196888.08348.112386.8044
98955904.922904.0830.8391250.0775
99912991.881908.20883.6725-79.8808
100850913.233923.667-10.434-63.2326
1011011932.747932.792-0.045138978.2535
102872948.719933.16715.5521-76.7188
1031074935.353940.5-5.14699138.647
104811899.14948.75-49.61-88.14
105878942.709960.167-17.4572-64.7095
1061081962.223975-12.7766118.777
1079561029.47989.37540.0984-73.4734
108812910.5711003.38-92.8044-98.5706
10911251061.531013.4248.112363.4711
11010511019.551018.710.8391231.4525
11110901104.551020.8883.6725-14.5475
11210281011.771022.21-10.43416.2257
11311781021.411021.46-0.0451389156.587
11410411037.931022.3815.55213.07292
1151146NANA-5.14699NA
116866NANA-49.61NA
117875NANA-17.4572NA
1181116NANA-12.7766NA
119903NANA40.0984NA
120887NANA-92.8044NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 732 & NA & NA & 48.1123 & NA \tabularnewline
2 & 768 & NA & NA & 0.83912 & NA \tabularnewline
3 & 902 & NA & NA & 83.6725 & NA \tabularnewline
4 & 739 & NA & NA & -10.434 & NA \tabularnewline
5 & 744 & NA & NA & -0.0451389 & NA \tabularnewline
6 & 848 & NA & NA & 15.5521 & NA \tabularnewline
7 & 745 & 776.645 & 781.792 & -5.14699 & -31.6447 \tabularnewline
8 & 752 & 737.89 & 787.5 & -49.61 & 14.11 \tabularnewline
9 & 833 & 776.626 & 794.083 & -17.4572 & 56.3738 \tabularnewline
10 & 703 & 788.223 & 801 & -12.7766 & -85.2234 \tabularnewline
11 & 824 & 848.057 & 807.958 & 40.0984 & -24.0567 \tabularnewline
12 & 759 & 721.112 & 813.917 & -92.8044 & 37.8877 \tabularnewline
13 & 797 & 867.237 & 819.125 & 48.1123 & -70.2373 \tabularnewline
14 & 840 & 824.756 & 823.917 & 0.83912 & 15.2442 \tabularnewline
15 & 988 & 909.297 & 825.625 & 83.6725 & 78.7025 \tabularnewline
16 & 819 & 818.566 & 829 & -10.434 & 0.434028 \tabularnewline
17 & 831 & 836.955 & 837 & -0.0451389 & -5.95486 \tabularnewline
18 & 904 & 856.344 & 840.792 & 15.5521 & 47.6563 \tabularnewline
19 & 814 & 836.478 & 841.625 & -5.14699 & -22.478 \tabularnewline
20 & 798 & 792.89 & 842.5 & -49.61 & 5.10995 \tabularnewline
21 & 828 & 821.084 & 838.542 & -17.4572 & 6.91551 \tabularnewline
22 & 789 & 820.598 & 833.375 & -12.7766 & -31.5984 \tabularnewline
23 & 930 & 871.848 & 831.75 & 40.0984 & 58.1516 \tabularnewline
24 & 744 & 731.237 & 824.042 & -92.8044 & 12.7627 \tabularnewline
25 & 832 & 860.737 & 812.625 & 48.1123 & -28.7373 \tabularnewline
26 & 826 & 807.214 & 806.375 & 0.83912 & 18.7859 \tabularnewline
27 & 907 & 883.506 & 799.833 & 83.6725 & 23.4942 \tabularnewline
28 & 776 & 782.358 & 792.792 & -10.434 & -6.35764 \tabularnewline
29 & 835 & 780.413 & 780.458 & -0.0451389 & 54.5868 \tabularnewline
30 & 715 & 783.677 & 768.125 & 15.5521 & -68.6771 \tabularnewline
31 & 729 & 758.395 & 763.542 & -5.14699 & -29.3947 \tabularnewline
32 & 733 & 705.682 & 755.292 & -49.61 & 27.3183 \tabularnewline
33 & 736 & 722.001 & 739.458 & -17.4572 & 13.9988 \tabularnewline
34 & 712 & 712.432 & 725.208 & -12.7766 & -0.431713 \tabularnewline
35 & 711 & 755.598 & 715.5 & 40.0984 & -44.5984 \tabularnewline
36 & 667 & 614.404 & 707.208 & -92.8044 & 52.5961 \tabularnewline
37 & 799 & 749.029 & 700.917 & 48.1123 & 49.9711 \tabularnewline
38 & 661 & 695.256 & 694.417 & 0.83912 & -34.2558 \tabularnewline
39 & 692 & 770.339 & 686.667 & 83.6725 & -78.3391 \tabularnewline
40 & 649 & 673.899 & 684.333 & -10.434 & -24.8993 \tabularnewline
41 & 729 & 681.997 & 682.042 & -0.0451389 & 47.0035 \tabularnewline
42 & 622 & 686.01 & 670.458 & 15.5521 & -64.0104 \tabularnewline
43 & 671 & 653.645 & 658.792 & -5.14699 & 17.3553 \tabularnewline
44 & 635 & 599.39 & 649 & -49.61 & 35.61 \tabularnewline
45 & 648 & 615.834 & 633.292 & -17.4572 & 32.1655 \tabularnewline
46 & 744 & 608.432 & 621.208 & -12.7766 & 135.568 \tabularnewline
47 & 624 & 645.765 & 605.667 & 40.0984 & -21.765 \tabularnewline
48 & 476 & 496.946 & 589.75 & -92.8044 & -20.9456 \tabularnewline
49 & 710 & 631.446 & 583.333 & 48.1123 & 78.5544 \tabularnewline
50 & 515 & 575.506 & 574.667 & 0.83912 & -60.5058 \tabularnewline
51 & 461 & 650.881 & 567.208 & 83.6725 & -189.881 \tabularnewline
52 & 590 & 546.774 & 557.208 & -10.434 & 43.2257 \tabularnewline
53 & 415 & 552.038 & 552.083 & -0.0451389 & -137.038 \tabularnewline
54 & 554 & 578.135 & 562.583 & 15.5521 & -24.1354 \tabularnewline
55 & 585 & 568.978 & 574.125 & -5.14699 & 16.022 \tabularnewline
56 & 513 & 538.932 & 588.542 & -49.61 & -25.9317 \tabularnewline
57 & 591 & 606.209 & 623.667 & -17.4572 & -15.2095 \tabularnewline
58 & 561 & 650.723 & 663.5 & -12.7766 & -89.7234 \tabularnewline
59 & 684 & 733.64 & 693.542 & 40.0984 & -49.64 \tabularnewline
60 & 668 & 635.029 & 727.833 & -92.8044 & 32.9711 \tabularnewline
61 & 795 & 810.529 & 762.417 & 48.1123 & -15.5289 \tabularnewline
62 & 776 & 789.089 & 788.25 & 0.83912 & -13.0891 \tabularnewline
63 & 1043 & 896.631 & 812.958 & 83.6725 & 146.369 \tabularnewline
64 & 964 & 827.733 & 838.167 & -10.434 & 136.267 \tabularnewline
65 & 762 & 857.622 & 857.667 & -0.0451389 & -95.6215 \tabularnewline
66 & 1030 & 888.302 & 872.75 & 15.5521 & 141.698 \tabularnewline
67 & 939 & 874.728 & 879.875 & -5.14699 & 64.272 \tabularnewline
68 & 779 & 832.057 & 881.667 & -49.61 & -53.0567 \tabularnewline
69 & 918 & 864.376 & 881.833 & -17.4572 & 53.6238 \tabularnewline
70 & 839 & 859.723 & 872.5 & -12.7766 & -20.7234 \tabularnewline
71 & 874 & 898.473 & 858.375 & 40.0984 & -24.4734 \tabularnewline
72 & 840 & 757.904 & 850.708 & -92.8044 & 82.0961 \tabularnewline
73 & 794 & 889.446 & 841.333 & 48.1123 & -95.4456 \tabularnewline
74 & 820 & 835.297 & 834.458 & 0.83912 & -15.2975 \tabularnewline
75 & 1003 & 911.006 & 827.333 & 83.6725 & 91.9942 \tabularnewline
76 & 780 & 805.816 & 816.25 & -10.434 & -25.816 \tabularnewline
77 & 607 & 813.913 & 813.958 & -0.0451389 & -206.913 \tabularnewline
78 & 1001 & 821.26 & 805.708 & 15.5521 & 179.74 \tabularnewline
79 & 743 & 790.311 & 795.458 & -5.14699 & -47.3113 \tabularnewline
80 & 810 & 742.64 & 792.25 & -49.61 & 67.36 \tabularnewline
81 & 716 & 768.168 & 785.625 & -17.4572 & -52.1678 \tabularnewline
82 & 775 & 764.223 & 777 & -12.7766 & 10.7766 \tabularnewline
83 & 883 & 825.557 & 785.458 & 40.0984 & 57.4433 \tabularnewline
84 & 633 & 691.071 & 783.875 & -92.8044 & -58.0706 \tabularnewline
85 & 755 & 816.654 & 768.542 & 48.1123 & -61.6539 \tabularnewline
86 & 782 & 767.214 & 766.375 & 0.83912 & 14.7859 \tabularnewline
87 & 882 & 852.714 & 769.042 & 83.6725 & 29.2859 \tabularnewline
88 & 694 & 762.649 & 773.083 & -10.434 & -68.6493 \tabularnewline
89 & 896 & 779.705 & 779.75 & -0.0451389 & 116.295 \tabularnewline
90 & 674 & 805.427 & 789.875 & 15.5521 & -131.427 \tabularnewline
91 & 702 & 800.27 & 805.417 & -5.14699 & -98.2697 \tabularnewline
92 & 799 & 774.182 & 823.792 & -49.61 & 24.8183 \tabularnewline
93 & 791 & 814.793 & 832.25 & -17.4572 & -23.7928 \tabularnewline
94 & 797 & 827.223 & 840 & -12.7766 & -30.2234 \tabularnewline
95 & 1021 & 891.39 & 851.292 & 40.0984 & 129.61 \tabularnewline
96 & 738 & 771.529 & 864.333 & -92.8044 & -33.5289 \tabularnewline
97 & 1023 & 936.196 & 888.083 & 48.1123 & 86.8044 \tabularnewline
98 & 955 & 904.922 & 904.083 & 0.83912 & 50.0775 \tabularnewline
99 & 912 & 991.881 & 908.208 & 83.6725 & -79.8808 \tabularnewline
100 & 850 & 913.233 & 923.667 & -10.434 & -63.2326 \tabularnewline
101 & 1011 & 932.747 & 932.792 & -0.0451389 & 78.2535 \tabularnewline
102 & 872 & 948.719 & 933.167 & 15.5521 & -76.7188 \tabularnewline
103 & 1074 & 935.353 & 940.5 & -5.14699 & 138.647 \tabularnewline
104 & 811 & 899.14 & 948.75 & -49.61 & -88.14 \tabularnewline
105 & 878 & 942.709 & 960.167 & -17.4572 & -64.7095 \tabularnewline
106 & 1081 & 962.223 & 975 & -12.7766 & 118.777 \tabularnewline
107 & 956 & 1029.47 & 989.375 & 40.0984 & -73.4734 \tabularnewline
108 & 812 & 910.571 & 1003.38 & -92.8044 & -98.5706 \tabularnewline
109 & 1125 & 1061.53 & 1013.42 & 48.1123 & 63.4711 \tabularnewline
110 & 1051 & 1019.55 & 1018.71 & 0.83912 & 31.4525 \tabularnewline
111 & 1090 & 1104.55 & 1020.88 & 83.6725 & -14.5475 \tabularnewline
112 & 1028 & 1011.77 & 1022.21 & -10.434 & 16.2257 \tabularnewline
113 & 1178 & 1021.41 & 1021.46 & -0.0451389 & 156.587 \tabularnewline
114 & 1041 & 1037.93 & 1022.38 & 15.5521 & 3.07292 \tabularnewline
115 & 1146 & NA & NA & -5.14699 & NA \tabularnewline
116 & 866 & NA & NA & -49.61 & NA \tabularnewline
117 & 875 & NA & NA & -17.4572 & NA \tabularnewline
118 & 1116 & NA & NA & -12.7766 & NA \tabularnewline
119 & 903 & NA & NA & 40.0984 & NA \tabularnewline
120 & 887 & NA & NA & -92.8044 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278841&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]732[/C][C]NA[/C][C]NA[/C][C]48.1123[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]768[/C][C]NA[/C][C]NA[/C][C]0.83912[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]902[/C][C]NA[/C][C]NA[/C][C]83.6725[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]739[/C][C]NA[/C][C]NA[/C][C]-10.434[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]744[/C][C]NA[/C][C]NA[/C][C]-0.0451389[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]848[/C][C]NA[/C][C]NA[/C][C]15.5521[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]745[/C][C]776.645[/C][C]781.792[/C][C]-5.14699[/C][C]-31.6447[/C][/ROW]
[ROW][C]8[/C][C]752[/C][C]737.89[/C][C]787.5[/C][C]-49.61[/C][C]14.11[/C][/ROW]
[ROW][C]9[/C][C]833[/C][C]776.626[/C][C]794.083[/C][C]-17.4572[/C][C]56.3738[/C][/ROW]
[ROW][C]10[/C][C]703[/C][C]788.223[/C][C]801[/C][C]-12.7766[/C][C]-85.2234[/C][/ROW]
[ROW][C]11[/C][C]824[/C][C]848.057[/C][C]807.958[/C][C]40.0984[/C][C]-24.0567[/C][/ROW]
[ROW][C]12[/C][C]759[/C][C]721.112[/C][C]813.917[/C][C]-92.8044[/C][C]37.8877[/C][/ROW]
[ROW][C]13[/C][C]797[/C][C]867.237[/C][C]819.125[/C][C]48.1123[/C][C]-70.2373[/C][/ROW]
[ROW][C]14[/C][C]840[/C][C]824.756[/C][C]823.917[/C][C]0.83912[/C][C]15.2442[/C][/ROW]
[ROW][C]15[/C][C]988[/C][C]909.297[/C][C]825.625[/C][C]83.6725[/C][C]78.7025[/C][/ROW]
[ROW][C]16[/C][C]819[/C][C]818.566[/C][C]829[/C][C]-10.434[/C][C]0.434028[/C][/ROW]
[ROW][C]17[/C][C]831[/C][C]836.955[/C][C]837[/C][C]-0.0451389[/C][C]-5.95486[/C][/ROW]
[ROW][C]18[/C][C]904[/C][C]856.344[/C][C]840.792[/C][C]15.5521[/C][C]47.6563[/C][/ROW]
[ROW][C]19[/C][C]814[/C][C]836.478[/C][C]841.625[/C][C]-5.14699[/C][C]-22.478[/C][/ROW]
[ROW][C]20[/C][C]798[/C][C]792.89[/C][C]842.5[/C][C]-49.61[/C][C]5.10995[/C][/ROW]
[ROW][C]21[/C][C]828[/C][C]821.084[/C][C]838.542[/C][C]-17.4572[/C][C]6.91551[/C][/ROW]
[ROW][C]22[/C][C]789[/C][C]820.598[/C][C]833.375[/C][C]-12.7766[/C][C]-31.5984[/C][/ROW]
[ROW][C]23[/C][C]930[/C][C]871.848[/C][C]831.75[/C][C]40.0984[/C][C]58.1516[/C][/ROW]
[ROW][C]24[/C][C]744[/C][C]731.237[/C][C]824.042[/C][C]-92.8044[/C][C]12.7627[/C][/ROW]
[ROW][C]25[/C][C]832[/C][C]860.737[/C][C]812.625[/C][C]48.1123[/C][C]-28.7373[/C][/ROW]
[ROW][C]26[/C][C]826[/C][C]807.214[/C][C]806.375[/C][C]0.83912[/C][C]18.7859[/C][/ROW]
[ROW][C]27[/C][C]907[/C][C]883.506[/C][C]799.833[/C][C]83.6725[/C][C]23.4942[/C][/ROW]
[ROW][C]28[/C][C]776[/C][C]782.358[/C][C]792.792[/C][C]-10.434[/C][C]-6.35764[/C][/ROW]
[ROW][C]29[/C][C]835[/C][C]780.413[/C][C]780.458[/C][C]-0.0451389[/C][C]54.5868[/C][/ROW]
[ROW][C]30[/C][C]715[/C][C]783.677[/C][C]768.125[/C][C]15.5521[/C][C]-68.6771[/C][/ROW]
[ROW][C]31[/C][C]729[/C][C]758.395[/C][C]763.542[/C][C]-5.14699[/C][C]-29.3947[/C][/ROW]
[ROW][C]32[/C][C]733[/C][C]705.682[/C][C]755.292[/C][C]-49.61[/C][C]27.3183[/C][/ROW]
[ROW][C]33[/C][C]736[/C][C]722.001[/C][C]739.458[/C][C]-17.4572[/C][C]13.9988[/C][/ROW]
[ROW][C]34[/C][C]712[/C][C]712.432[/C][C]725.208[/C][C]-12.7766[/C][C]-0.431713[/C][/ROW]
[ROW][C]35[/C][C]711[/C][C]755.598[/C][C]715.5[/C][C]40.0984[/C][C]-44.5984[/C][/ROW]
[ROW][C]36[/C][C]667[/C][C]614.404[/C][C]707.208[/C][C]-92.8044[/C][C]52.5961[/C][/ROW]
[ROW][C]37[/C][C]799[/C][C]749.029[/C][C]700.917[/C][C]48.1123[/C][C]49.9711[/C][/ROW]
[ROW][C]38[/C][C]661[/C][C]695.256[/C][C]694.417[/C][C]0.83912[/C][C]-34.2558[/C][/ROW]
[ROW][C]39[/C][C]692[/C][C]770.339[/C][C]686.667[/C][C]83.6725[/C][C]-78.3391[/C][/ROW]
[ROW][C]40[/C][C]649[/C][C]673.899[/C][C]684.333[/C][C]-10.434[/C][C]-24.8993[/C][/ROW]
[ROW][C]41[/C][C]729[/C][C]681.997[/C][C]682.042[/C][C]-0.0451389[/C][C]47.0035[/C][/ROW]
[ROW][C]42[/C][C]622[/C][C]686.01[/C][C]670.458[/C][C]15.5521[/C][C]-64.0104[/C][/ROW]
[ROW][C]43[/C][C]671[/C][C]653.645[/C][C]658.792[/C][C]-5.14699[/C][C]17.3553[/C][/ROW]
[ROW][C]44[/C][C]635[/C][C]599.39[/C][C]649[/C][C]-49.61[/C][C]35.61[/C][/ROW]
[ROW][C]45[/C][C]648[/C][C]615.834[/C][C]633.292[/C][C]-17.4572[/C][C]32.1655[/C][/ROW]
[ROW][C]46[/C][C]744[/C][C]608.432[/C][C]621.208[/C][C]-12.7766[/C][C]135.568[/C][/ROW]
[ROW][C]47[/C][C]624[/C][C]645.765[/C][C]605.667[/C][C]40.0984[/C][C]-21.765[/C][/ROW]
[ROW][C]48[/C][C]476[/C][C]496.946[/C][C]589.75[/C][C]-92.8044[/C][C]-20.9456[/C][/ROW]
[ROW][C]49[/C][C]710[/C][C]631.446[/C][C]583.333[/C][C]48.1123[/C][C]78.5544[/C][/ROW]
[ROW][C]50[/C][C]515[/C][C]575.506[/C][C]574.667[/C][C]0.83912[/C][C]-60.5058[/C][/ROW]
[ROW][C]51[/C][C]461[/C][C]650.881[/C][C]567.208[/C][C]83.6725[/C][C]-189.881[/C][/ROW]
[ROW][C]52[/C][C]590[/C][C]546.774[/C][C]557.208[/C][C]-10.434[/C][C]43.2257[/C][/ROW]
[ROW][C]53[/C][C]415[/C][C]552.038[/C][C]552.083[/C][C]-0.0451389[/C][C]-137.038[/C][/ROW]
[ROW][C]54[/C][C]554[/C][C]578.135[/C][C]562.583[/C][C]15.5521[/C][C]-24.1354[/C][/ROW]
[ROW][C]55[/C][C]585[/C][C]568.978[/C][C]574.125[/C][C]-5.14699[/C][C]16.022[/C][/ROW]
[ROW][C]56[/C][C]513[/C][C]538.932[/C][C]588.542[/C][C]-49.61[/C][C]-25.9317[/C][/ROW]
[ROW][C]57[/C][C]591[/C][C]606.209[/C][C]623.667[/C][C]-17.4572[/C][C]-15.2095[/C][/ROW]
[ROW][C]58[/C][C]561[/C][C]650.723[/C][C]663.5[/C][C]-12.7766[/C][C]-89.7234[/C][/ROW]
[ROW][C]59[/C][C]684[/C][C]733.64[/C][C]693.542[/C][C]40.0984[/C][C]-49.64[/C][/ROW]
[ROW][C]60[/C][C]668[/C][C]635.029[/C][C]727.833[/C][C]-92.8044[/C][C]32.9711[/C][/ROW]
[ROW][C]61[/C][C]795[/C][C]810.529[/C][C]762.417[/C][C]48.1123[/C][C]-15.5289[/C][/ROW]
[ROW][C]62[/C][C]776[/C][C]789.089[/C][C]788.25[/C][C]0.83912[/C][C]-13.0891[/C][/ROW]
[ROW][C]63[/C][C]1043[/C][C]896.631[/C][C]812.958[/C][C]83.6725[/C][C]146.369[/C][/ROW]
[ROW][C]64[/C][C]964[/C][C]827.733[/C][C]838.167[/C][C]-10.434[/C][C]136.267[/C][/ROW]
[ROW][C]65[/C][C]762[/C][C]857.622[/C][C]857.667[/C][C]-0.0451389[/C][C]-95.6215[/C][/ROW]
[ROW][C]66[/C][C]1030[/C][C]888.302[/C][C]872.75[/C][C]15.5521[/C][C]141.698[/C][/ROW]
[ROW][C]67[/C][C]939[/C][C]874.728[/C][C]879.875[/C][C]-5.14699[/C][C]64.272[/C][/ROW]
[ROW][C]68[/C][C]779[/C][C]832.057[/C][C]881.667[/C][C]-49.61[/C][C]-53.0567[/C][/ROW]
[ROW][C]69[/C][C]918[/C][C]864.376[/C][C]881.833[/C][C]-17.4572[/C][C]53.6238[/C][/ROW]
[ROW][C]70[/C][C]839[/C][C]859.723[/C][C]872.5[/C][C]-12.7766[/C][C]-20.7234[/C][/ROW]
[ROW][C]71[/C][C]874[/C][C]898.473[/C][C]858.375[/C][C]40.0984[/C][C]-24.4734[/C][/ROW]
[ROW][C]72[/C][C]840[/C][C]757.904[/C][C]850.708[/C][C]-92.8044[/C][C]82.0961[/C][/ROW]
[ROW][C]73[/C][C]794[/C][C]889.446[/C][C]841.333[/C][C]48.1123[/C][C]-95.4456[/C][/ROW]
[ROW][C]74[/C][C]820[/C][C]835.297[/C][C]834.458[/C][C]0.83912[/C][C]-15.2975[/C][/ROW]
[ROW][C]75[/C][C]1003[/C][C]911.006[/C][C]827.333[/C][C]83.6725[/C][C]91.9942[/C][/ROW]
[ROW][C]76[/C][C]780[/C][C]805.816[/C][C]816.25[/C][C]-10.434[/C][C]-25.816[/C][/ROW]
[ROW][C]77[/C][C]607[/C][C]813.913[/C][C]813.958[/C][C]-0.0451389[/C][C]-206.913[/C][/ROW]
[ROW][C]78[/C][C]1001[/C][C]821.26[/C][C]805.708[/C][C]15.5521[/C][C]179.74[/C][/ROW]
[ROW][C]79[/C][C]743[/C][C]790.311[/C][C]795.458[/C][C]-5.14699[/C][C]-47.3113[/C][/ROW]
[ROW][C]80[/C][C]810[/C][C]742.64[/C][C]792.25[/C][C]-49.61[/C][C]67.36[/C][/ROW]
[ROW][C]81[/C][C]716[/C][C]768.168[/C][C]785.625[/C][C]-17.4572[/C][C]-52.1678[/C][/ROW]
[ROW][C]82[/C][C]775[/C][C]764.223[/C][C]777[/C][C]-12.7766[/C][C]10.7766[/C][/ROW]
[ROW][C]83[/C][C]883[/C][C]825.557[/C][C]785.458[/C][C]40.0984[/C][C]57.4433[/C][/ROW]
[ROW][C]84[/C][C]633[/C][C]691.071[/C][C]783.875[/C][C]-92.8044[/C][C]-58.0706[/C][/ROW]
[ROW][C]85[/C][C]755[/C][C]816.654[/C][C]768.542[/C][C]48.1123[/C][C]-61.6539[/C][/ROW]
[ROW][C]86[/C][C]782[/C][C]767.214[/C][C]766.375[/C][C]0.83912[/C][C]14.7859[/C][/ROW]
[ROW][C]87[/C][C]882[/C][C]852.714[/C][C]769.042[/C][C]83.6725[/C][C]29.2859[/C][/ROW]
[ROW][C]88[/C][C]694[/C][C]762.649[/C][C]773.083[/C][C]-10.434[/C][C]-68.6493[/C][/ROW]
[ROW][C]89[/C][C]896[/C][C]779.705[/C][C]779.75[/C][C]-0.0451389[/C][C]116.295[/C][/ROW]
[ROW][C]90[/C][C]674[/C][C]805.427[/C][C]789.875[/C][C]15.5521[/C][C]-131.427[/C][/ROW]
[ROW][C]91[/C][C]702[/C][C]800.27[/C][C]805.417[/C][C]-5.14699[/C][C]-98.2697[/C][/ROW]
[ROW][C]92[/C][C]799[/C][C]774.182[/C][C]823.792[/C][C]-49.61[/C][C]24.8183[/C][/ROW]
[ROW][C]93[/C][C]791[/C][C]814.793[/C][C]832.25[/C][C]-17.4572[/C][C]-23.7928[/C][/ROW]
[ROW][C]94[/C][C]797[/C][C]827.223[/C][C]840[/C][C]-12.7766[/C][C]-30.2234[/C][/ROW]
[ROW][C]95[/C][C]1021[/C][C]891.39[/C][C]851.292[/C][C]40.0984[/C][C]129.61[/C][/ROW]
[ROW][C]96[/C][C]738[/C][C]771.529[/C][C]864.333[/C][C]-92.8044[/C][C]-33.5289[/C][/ROW]
[ROW][C]97[/C][C]1023[/C][C]936.196[/C][C]888.083[/C][C]48.1123[/C][C]86.8044[/C][/ROW]
[ROW][C]98[/C][C]955[/C][C]904.922[/C][C]904.083[/C][C]0.83912[/C][C]50.0775[/C][/ROW]
[ROW][C]99[/C][C]912[/C][C]991.881[/C][C]908.208[/C][C]83.6725[/C][C]-79.8808[/C][/ROW]
[ROW][C]100[/C][C]850[/C][C]913.233[/C][C]923.667[/C][C]-10.434[/C][C]-63.2326[/C][/ROW]
[ROW][C]101[/C][C]1011[/C][C]932.747[/C][C]932.792[/C][C]-0.0451389[/C][C]78.2535[/C][/ROW]
[ROW][C]102[/C][C]872[/C][C]948.719[/C][C]933.167[/C][C]15.5521[/C][C]-76.7188[/C][/ROW]
[ROW][C]103[/C][C]1074[/C][C]935.353[/C][C]940.5[/C][C]-5.14699[/C][C]138.647[/C][/ROW]
[ROW][C]104[/C][C]811[/C][C]899.14[/C][C]948.75[/C][C]-49.61[/C][C]-88.14[/C][/ROW]
[ROW][C]105[/C][C]878[/C][C]942.709[/C][C]960.167[/C][C]-17.4572[/C][C]-64.7095[/C][/ROW]
[ROW][C]106[/C][C]1081[/C][C]962.223[/C][C]975[/C][C]-12.7766[/C][C]118.777[/C][/ROW]
[ROW][C]107[/C][C]956[/C][C]1029.47[/C][C]989.375[/C][C]40.0984[/C][C]-73.4734[/C][/ROW]
[ROW][C]108[/C][C]812[/C][C]910.571[/C][C]1003.38[/C][C]-92.8044[/C][C]-98.5706[/C][/ROW]
[ROW][C]109[/C][C]1125[/C][C]1061.53[/C][C]1013.42[/C][C]48.1123[/C][C]63.4711[/C][/ROW]
[ROW][C]110[/C][C]1051[/C][C]1019.55[/C][C]1018.71[/C][C]0.83912[/C][C]31.4525[/C][/ROW]
[ROW][C]111[/C][C]1090[/C][C]1104.55[/C][C]1020.88[/C][C]83.6725[/C][C]-14.5475[/C][/ROW]
[ROW][C]112[/C][C]1028[/C][C]1011.77[/C][C]1022.21[/C][C]-10.434[/C][C]16.2257[/C][/ROW]
[ROW][C]113[/C][C]1178[/C][C]1021.41[/C][C]1021.46[/C][C]-0.0451389[/C][C]156.587[/C][/ROW]
[ROW][C]114[/C][C]1041[/C][C]1037.93[/C][C]1022.38[/C][C]15.5521[/C][C]3.07292[/C][/ROW]
[ROW][C]115[/C][C]1146[/C][C]NA[/C][C]NA[/C][C]-5.14699[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]866[/C][C]NA[/C][C]NA[/C][C]-49.61[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]875[/C][C]NA[/C][C]NA[/C][C]-17.4572[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]1116[/C][C]NA[/C][C]NA[/C][C]-12.7766[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]903[/C][C]NA[/C][C]NA[/C][C]40.0984[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]887[/C][C]NA[/C][C]NA[/C][C]-92.8044[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278841&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278841&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
1732NANA48.1123NA
2768NANA0.83912NA
3902NANA83.6725NA
4739NANA-10.434NA
5744NANA-0.0451389NA
6848NANA15.5521NA
7745776.645781.792-5.14699-31.6447
8752737.89787.5-49.6114.11
9833776.626794.083-17.457256.3738
10703788.223801-12.7766-85.2234
11824848.057807.95840.0984-24.0567
12759721.112813.917-92.804437.8877
13797867.237819.12548.1123-70.2373
14840824.756823.9170.8391215.2442
15988909.297825.62583.672578.7025
16819818.566829-10.4340.434028
17831836.955837-0.0451389-5.95486
18904856.344840.79215.552147.6563
19814836.478841.625-5.14699-22.478
20798792.89842.5-49.615.10995
21828821.084838.542-17.45726.91551
22789820.598833.375-12.7766-31.5984
23930871.848831.7540.098458.1516
24744731.237824.042-92.804412.7627
25832860.737812.62548.1123-28.7373
26826807.214806.3750.8391218.7859
27907883.506799.83383.672523.4942
28776782.358792.792-10.434-6.35764
29835780.413780.458-0.045138954.5868
30715783.677768.12515.5521-68.6771
31729758.395763.542-5.14699-29.3947
32733705.682755.292-49.6127.3183
33736722.001739.458-17.457213.9988
34712712.432725.208-12.7766-0.431713
35711755.598715.540.0984-44.5984
36667614.404707.208-92.804452.5961
37799749.029700.91748.112349.9711
38661695.256694.4170.83912-34.2558
39692770.339686.66783.6725-78.3391
40649673.899684.333-10.434-24.8993
41729681.997682.042-0.045138947.0035
42622686.01670.45815.5521-64.0104
43671653.645658.792-5.1469917.3553
44635599.39649-49.6135.61
45648615.834633.292-17.457232.1655
46744608.432621.208-12.7766135.568
47624645.765605.66740.0984-21.765
48476496.946589.75-92.8044-20.9456
49710631.446583.33348.112378.5544
50515575.506574.6670.83912-60.5058
51461650.881567.20883.6725-189.881
52590546.774557.208-10.43443.2257
53415552.038552.083-0.0451389-137.038
54554578.135562.58315.5521-24.1354
55585568.978574.125-5.1469916.022
56513538.932588.542-49.61-25.9317
57591606.209623.667-17.4572-15.2095
58561650.723663.5-12.7766-89.7234
59684733.64693.54240.0984-49.64
60668635.029727.833-92.804432.9711
61795810.529762.41748.1123-15.5289
62776789.089788.250.83912-13.0891
631043896.631812.95883.6725146.369
64964827.733838.167-10.434136.267
65762857.622857.667-0.0451389-95.6215
661030888.302872.7515.5521141.698
67939874.728879.875-5.1469964.272
68779832.057881.667-49.61-53.0567
69918864.376881.833-17.457253.6238
70839859.723872.5-12.7766-20.7234
71874898.473858.37540.0984-24.4734
72840757.904850.708-92.804482.0961
73794889.446841.33348.1123-95.4456
74820835.297834.4580.83912-15.2975
751003911.006827.33383.672591.9942
76780805.816816.25-10.434-25.816
77607813.913813.958-0.0451389-206.913
781001821.26805.70815.5521179.74
79743790.311795.458-5.14699-47.3113
80810742.64792.25-49.6167.36
81716768.168785.625-17.4572-52.1678
82775764.223777-12.776610.7766
83883825.557785.45840.098457.4433
84633691.071783.875-92.8044-58.0706
85755816.654768.54248.1123-61.6539
86782767.214766.3750.8391214.7859
87882852.714769.04283.672529.2859
88694762.649773.083-10.434-68.6493
89896779.705779.75-0.0451389116.295
90674805.427789.87515.5521-131.427
91702800.27805.417-5.14699-98.2697
92799774.182823.792-49.6124.8183
93791814.793832.25-17.4572-23.7928
94797827.223840-12.7766-30.2234
951021891.39851.29240.0984129.61
96738771.529864.333-92.8044-33.5289
971023936.196888.08348.112386.8044
98955904.922904.0830.8391250.0775
99912991.881908.20883.6725-79.8808
100850913.233923.667-10.434-63.2326
1011011932.747932.792-0.045138978.2535
102872948.719933.16715.5521-76.7188
1031074935.353940.5-5.14699138.647
104811899.14948.75-49.61-88.14
105878942.709960.167-17.4572-64.7095
1061081962.223975-12.7766118.777
1079561029.47989.37540.0984-73.4734
108812910.5711003.38-92.8044-98.5706
10911251061.531013.4248.112363.4711
11010511019.551018.710.8391231.4525
11110901104.551020.8883.6725-14.5475
11210281011.771022.21-10.43416.2257
11311781021.411021.46-0.0451389156.587
11410411037.931022.3815.55213.07292
1151146NANA-5.14699NA
116866NANA-49.61NA
117875NANA-17.4572NA
1181116NANA-12.7766NA
119903NANA40.0984NA
120887NANA-92.8044NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')