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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 11 Aug 2016 23:19:22 +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/2016/Aug/11/t14709540036d9xg17up86vazt.htm/, Retrieved Sun, 05 May 2024 17:43:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296383, Retrieved Sun, 05 May 2024 17:43:42 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-08-11 22:19:22] [50e1ac7d003038f762f5217b1e15faa4] [Current]
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Dataseries X:
940
950
920
930
930
900
940
840
890
850
830
940
960
900
940
920
930
970
930
780
810
870
720
880
920
920
950
950
890
960
780
780
760
860
740
1020
890
1040
920
900
950
990
840
740
840
960
790
1010
900
970
920
980
890
1000
880
740
860
940
760
1010
870
980
920
950
880
980
910
730
880
820
690
990
800
960
910
950
940
1010
890
660
860
840
740
980
820
1080
930
970
930
1010
880
740
860
810
750
890
790
1000
890
970
900
990
910
730
850
840
830
950




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296383&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296383&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296383&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 time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1940NANA-22.7995NA
2950NANA90.4297NA
3920NANA32.4609NA
4930NANA58.9714NA
5930NANA24.0234NA
6900NANA98.9714NA
7940895.846905.833-9.9869844.1536
8840765.117904.583-139.46674.8828
9890857.513903.333-45.820332.487
10850881.628903.75-22.1224-31.6276
11830764.909903.333-138.42465.0911
12940980.013906.2573.763-40.013
13960885.951908.75-22.799574.0495
14900996.263905.83390.4297-96.263
15940932.46190032.46097.53906
16920956.471897.558.9714-36.4714
17930917.773893.7524.023412.2266
18970985.638886.66798.9714-15.638
19930872.513882.5-9.9869857.487
20780742.201881.667-139.46637.7995
21810837.096882.917-45.8203-27.0964
22870862.461884.583-22.12247.53906
23720745.742884.167-138.424-25.7422
24880955.846882.08373.763-75.8464
25920852.617875.417-22.799567.3828
26920959.596869.16790.4297-39.5964
27950899.544867.08332.460950.4557
28950923.555864.58358.971426.4453
29890889.02386524.02340.976563
30960970.638871.66798.9714-10.638
31780866.263876.25-9.98698-86.263
32780740.534880-139.46639.4661
33760837.93883.75-45.8203-77.9297
34860858.294880.417-22.12241.70573
35740742.409880.833-138.424-2.40885
361020958.346884.58373.76361.6536
37890865.534888.333-22.799524.4661
381040979.596889.16790.429760.4036
39920923.294890.83332.4609-3.29427
40900957.305898.33358.9714-57.3047
41950928.607904.58324.023421.3932
429901005.22906.2598.9714-15.2214
43840896.263906.25-9.98698-56.263
44740764.284903.75-139.466-24.2839
45840855.013900.833-45.8203-15.013
46960882.044904.167-22.122477.9557
47790766.576905-138.42423.4245
481010976.68902.91773.76333.3203
49900882.201905-22.799517.7995
50970997.096906.66790.4297-27.0964
51920939.961907.532.4609-19.9609
52980966.471907.558.971413.5286
53890929.44905.41724.0234-39.4401
5410001003.14904.16798.9714-3.13802
55880892.93902.917-9.98698-12.9297
56740762.617902.083-139.466-22.6172
57860856.68902.5-45.82033.32031
58940879.128901.25-22.122460.8724
59760761.159899.583-138.424-1.15885
601010972.096898.33373.76337.9036
61870875.951898.75-22.7995-5.95052
62980990.013899.58390.4297-10.013
63920932.46190032.4609-12.4609
64950954.805895.83358.9714-4.80469
65880911.94887.91724.0234-31.9401
66980983.138884.16798.9714-3.13802
67910870.43880.417-9.9869839.5703
68730737.201876.667-139.466-7.20052
69880829.596875.417-45.820350.4036
70820852.878875-22.1224-32.8776
71690739.076877.5-138.424-49.0755
72990955.013881.2573.76334.987
73800858.867881.667-22.7995-58.8672
74960968.346877.91790.4297-8.34635
75910906.628874.16732.46093.3724
76950933.138874.16758.971416.862
77940901.107877.08324.023438.8932
781010977.721878.7598.971432.2786
79890869.18879.167-9.9869820.8203
80660745.534885-139.466-85.5339
81860845.013890.833-45.820314.987
82840870.378892.5-22.1224-30.3776
83740754.492892.917-138.424-14.4922
84980966.263892.573.76313.737
85820869.284892.083-22.7995-49.2839
861080985.4389590.429794.5703
87930930.794898.33332.4609-0.794271
88970956.055897.08358.971413.9453
89930920.273896.2524.02349.72656
901010991.888892.91798.971418.112
91880877.93887.917-9.986982.07031
92740743.867883.333-139.466-3.86719
93860832.513878.333-45.820327.487
94810854.544876.667-22.1224-44.5443
95750736.992875.417-138.42413.0078
96890947.096873.33373.763-57.0964
97790850.951873.75-22.7995-60.9505
981000965.013874.58390.429734.987
99890906.211873.7532.4609-16.2109
100970933.555874.58358.971436.4453
101900903.19879.16724.0234-3.1901
102990983.97188598.97146.02865
103910NANA-9.98698NA
104730NANA-139.466NA
105850NANA-45.8203NA
106840NANA-22.1224NA
107830NANA-138.424NA
108950NANA73.763NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 940 & NA & NA & -22.7995 & NA \tabularnewline
2 & 950 & NA & NA & 90.4297 & NA \tabularnewline
3 & 920 & NA & NA & 32.4609 & NA \tabularnewline
4 & 930 & NA & NA & 58.9714 & NA \tabularnewline
5 & 930 & NA & NA & 24.0234 & NA \tabularnewline
6 & 900 & NA & NA & 98.9714 & NA \tabularnewline
7 & 940 & 895.846 & 905.833 & -9.98698 & 44.1536 \tabularnewline
8 & 840 & 765.117 & 904.583 & -139.466 & 74.8828 \tabularnewline
9 & 890 & 857.513 & 903.333 & -45.8203 & 32.487 \tabularnewline
10 & 850 & 881.628 & 903.75 & -22.1224 & -31.6276 \tabularnewline
11 & 830 & 764.909 & 903.333 & -138.424 & 65.0911 \tabularnewline
12 & 940 & 980.013 & 906.25 & 73.763 & -40.013 \tabularnewline
13 & 960 & 885.951 & 908.75 & -22.7995 & 74.0495 \tabularnewline
14 & 900 & 996.263 & 905.833 & 90.4297 & -96.263 \tabularnewline
15 & 940 & 932.461 & 900 & 32.4609 & 7.53906 \tabularnewline
16 & 920 & 956.471 & 897.5 & 58.9714 & -36.4714 \tabularnewline
17 & 930 & 917.773 & 893.75 & 24.0234 & 12.2266 \tabularnewline
18 & 970 & 985.638 & 886.667 & 98.9714 & -15.638 \tabularnewline
19 & 930 & 872.513 & 882.5 & -9.98698 & 57.487 \tabularnewline
20 & 780 & 742.201 & 881.667 & -139.466 & 37.7995 \tabularnewline
21 & 810 & 837.096 & 882.917 & -45.8203 & -27.0964 \tabularnewline
22 & 870 & 862.461 & 884.583 & -22.1224 & 7.53906 \tabularnewline
23 & 720 & 745.742 & 884.167 & -138.424 & -25.7422 \tabularnewline
24 & 880 & 955.846 & 882.083 & 73.763 & -75.8464 \tabularnewline
25 & 920 & 852.617 & 875.417 & -22.7995 & 67.3828 \tabularnewline
26 & 920 & 959.596 & 869.167 & 90.4297 & -39.5964 \tabularnewline
27 & 950 & 899.544 & 867.083 & 32.4609 & 50.4557 \tabularnewline
28 & 950 & 923.555 & 864.583 & 58.9714 & 26.4453 \tabularnewline
29 & 890 & 889.023 & 865 & 24.0234 & 0.976563 \tabularnewline
30 & 960 & 970.638 & 871.667 & 98.9714 & -10.638 \tabularnewline
31 & 780 & 866.263 & 876.25 & -9.98698 & -86.263 \tabularnewline
32 & 780 & 740.534 & 880 & -139.466 & 39.4661 \tabularnewline
33 & 760 & 837.93 & 883.75 & -45.8203 & -77.9297 \tabularnewline
34 & 860 & 858.294 & 880.417 & -22.1224 & 1.70573 \tabularnewline
35 & 740 & 742.409 & 880.833 & -138.424 & -2.40885 \tabularnewline
36 & 1020 & 958.346 & 884.583 & 73.763 & 61.6536 \tabularnewline
37 & 890 & 865.534 & 888.333 & -22.7995 & 24.4661 \tabularnewline
38 & 1040 & 979.596 & 889.167 & 90.4297 & 60.4036 \tabularnewline
39 & 920 & 923.294 & 890.833 & 32.4609 & -3.29427 \tabularnewline
40 & 900 & 957.305 & 898.333 & 58.9714 & -57.3047 \tabularnewline
41 & 950 & 928.607 & 904.583 & 24.0234 & 21.3932 \tabularnewline
42 & 990 & 1005.22 & 906.25 & 98.9714 & -15.2214 \tabularnewline
43 & 840 & 896.263 & 906.25 & -9.98698 & -56.263 \tabularnewline
44 & 740 & 764.284 & 903.75 & -139.466 & -24.2839 \tabularnewline
45 & 840 & 855.013 & 900.833 & -45.8203 & -15.013 \tabularnewline
46 & 960 & 882.044 & 904.167 & -22.1224 & 77.9557 \tabularnewline
47 & 790 & 766.576 & 905 & -138.424 & 23.4245 \tabularnewline
48 & 1010 & 976.68 & 902.917 & 73.763 & 33.3203 \tabularnewline
49 & 900 & 882.201 & 905 & -22.7995 & 17.7995 \tabularnewline
50 & 970 & 997.096 & 906.667 & 90.4297 & -27.0964 \tabularnewline
51 & 920 & 939.961 & 907.5 & 32.4609 & -19.9609 \tabularnewline
52 & 980 & 966.471 & 907.5 & 58.9714 & 13.5286 \tabularnewline
53 & 890 & 929.44 & 905.417 & 24.0234 & -39.4401 \tabularnewline
54 & 1000 & 1003.14 & 904.167 & 98.9714 & -3.13802 \tabularnewline
55 & 880 & 892.93 & 902.917 & -9.98698 & -12.9297 \tabularnewline
56 & 740 & 762.617 & 902.083 & -139.466 & -22.6172 \tabularnewline
57 & 860 & 856.68 & 902.5 & -45.8203 & 3.32031 \tabularnewline
58 & 940 & 879.128 & 901.25 & -22.1224 & 60.8724 \tabularnewline
59 & 760 & 761.159 & 899.583 & -138.424 & -1.15885 \tabularnewline
60 & 1010 & 972.096 & 898.333 & 73.763 & 37.9036 \tabularnewline
61 & 870 & 875.951 & 898.75 & -22.7995 & -5.95052 \tabularnewline
62 & 980 & 990.013 & 899.583 & 90.4297 & -10.013 \tabularnewline
63 & 920 & 932.461 & 900 & 32.4609 & -12.4609 \tabularnewline
64 & 950 & 954.805 & 895.833 & 58.9714 & -4.80469 \tabularnewline
65 & 880 & 911.94 & 887.917 & 24.0234 & -31.9401 \tabularnewline
66 & 980 & 983.138 & 884.167 & 98.9714 & -3.13802 \tabularnewline
67 & 910 & 870.43 & 880.417 & -9.98698 & 39.5703 \tabularnewline
68 & 730 & 737.201 & 876.667 & -139.466 & -7.20052 \tabularnewline
69 & 880 & 829.596 & 875.417 & -45.8203 & 50.4036 \tabularnewline
70 & 820 & 852.878 & 875 & -22.1224 & -32.8776 \tabularnewline
71 & 690 & 739.076 & 877.5 & -138.424 & -49.0755 \tabularnewline
72 & 990 & 955.013 & 881.25 & 73.763 & 34.987 \tabularnewline
73 & 800 & 858.867 & 881.667 & -22.7995 & -58.8672 \tabularnewline
74 & 960 & 968.346 & 877.917 & 90.4297 & -8.34635 \tabularnewline
75 & 910 & 906.628 & 874.167 & 32.4609 & 3.3724 \tabularnewline
76 & 950 & 933.138 & 874.167 & 58.9714 & 16.862 \tabularnewline
77 & 940 & 901.107 & 877.083 & 24.0234 & 38.8932 \tabularnewline
78 & 1010 & 977.721 & 878.75 & 98.9714 & 32.2786 \tabularnewline
79 & 890 & 869.18 & 879.167 & -9.98698 & 20.8203 \tabularnewline
80 & 660 & 745.534 & 885 & -139.466 & -85.5339 \tabularnewline
81 & 860 & 845.013 & 890.833 & -45.8203 & 14.987 \tabularnewline
82 & 840 & 870.378 & 892.5 & -22.1224 & -30.3776 \tabularnewline
83 & 740 & 754.492 & 892.917 & -138.424 & -14.4922 \tabularnewline
84 & 980 & 966.263 & 892.5 & 73.763 & 13.737 \tabularnewline
85 & 820 & 869.284 & 892.083 & -22.7995 & -49.2839 \tabularnewline
86 & 1080 & 985.43 & 895 & 90.4297 & 94.5703 \tabularnewline
87 & 930 & 930.794 & 898.333 & 32.4609 & -0.794271 \tabularnewline
88 & 970 & 956.055 & 897.083 & 58.9714 & 13.9453 \tabularnewline
89 & 930 & 920.273 & 896.25 & 24.0234 & 9.72656 \tabularnewline
90 & 1010 & 991.888 & 892.917 & 98.9714 & 18.112 \tabularnewline
91 & 880 & 877.93 & 887.917 & -9.98698 & 2.07031 \tabularnewline
92 & 740 & 743.867 & 883.333 & -139.466 & -3.86719 \tabularnewline
93 & 860 & 832.513 & 878.333 & -45.8203 & 27.487 \tabularnewline
94 & 810 & 854.544 & 876.667 & -22.1224 & -44.5443 \tabularnewline
95 & 750 & 736.992 & 875.417 & -138.424 & 13.0078 \tabularnewline
96 & 890 & 947.096 & 873.333 & 73.763 & -57.0964 \tabularnewline
97 & 790 & 850.951 & 873.75 & -22.7995 & -60.9505 \tabularnewline
98 & 1000 & 965.013 & 874.583 & 90.4297 & 34.987 \tabularnewline
99 & 890 & 906.211 & 873.75 & 32.4609 & -16.2109 \tabularnewline
100 & 970 & 933.555 & 874.583 & 58.9714 & 36.4453 \tabularnewline
101 & 900 & 903.19 & 879.167 & 24.0234 & -3.1901 \tabularnewline
102 & 990 & 983.971 & 885 & 98.9714 & 6.02865 \tabularnewline
103 & 910 & NA & NA & -9.98698 & NA \tabularnewline
104 & 730 & NA & NA & -139.466 & NA \tabularnewline
105 & 850 & NA & NA & -45.8203 & NA \tabularnewline
106 & 840 & NA & NA & -22.1224 & NA \tabularnewline
107 & 830 & NA & NA & -138.424 & NA \tabularnewline
108 & 950 & NA & NA & 73.763 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296383&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]940[/C][C]NA[/C][C]NA[/C][C]-22.7995[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]950[/C][C]NA[/C][C]NA[/C][C]90.4297[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]920[/C][C]NA[/C][C]NA[/C][C]32.4609[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]930[/C][C]NA[/C][C]NA[/C][C]58.9714[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]930[/C][C]NA[/C][C]NA[/C][C]24.0234[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]900[/C][C]NA[/C][C]NA[/C][C]98.9714[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]940[/C][C]895.846[/C][C]905.833[/C][C]-9.98698[/C][C]44.1536[/C][/ROW]
[ROW][C]8[/C][C]840[/C][C]765.117[/C][C]904.583[/C][C]-139.466[/C][C]74.8828[/C][/ROW]
[ROW][C]9[/C][C]890[/C][C]857.513[/C][C]903.333[/C][C]-45.8203[/C][C]32.487[/C][/ROW]
[ROW][C]10[/C][C]850[/C][C]881.628[/C][C]903.75[/C][C]-22.1224[/C][C]-31.6276[/C][/ROW]
[ROW][C]11[/C][C]830[/C][C]764.909[/C][C]903.333[/C][C]-138.424[/C][C]65.0911[/C][/ROW]
[ROW][C]12[/C][C]940[/C][C]980.013[/C][C]906.25[/C][C]73.763[/C][C]-40.013[/C][/ROW]
[ROW][C]13[/C][C]960[/C][C]885.951[/C][C]908.75[/C][C]-22.7995[/C][C]74.0495[/C][/ROW]
[ROW][C]14[/C][C]900[/C][C]996.263[/C][C]905.833[/C][C]90.4297[/C][C]-96.263[/C][/ROW]
[ROW][C]15[/C][C]940[/C][C]932.461[/C][C]900[/C][C]32.4609[/C][C]7.53906[/C][/ROW]
[ROW][C]16[/C][C]920[/C][C]956.471[/C][C]897.5[/C][C]58.9714[/C][C]-36.4714[/C][/ROW]
[ROW][C]17[/C][C]930[/C][C]917.773[/C][C]893.75[/C][C]24.0234[/C][C]12.2266[/C][/ROW]
[ROW][C]18[/C][C]970[/C][C]985.638[/C][C]886.667[/C][C]98.9714[/C][C]-15.638[/C][/ROW]
[ROW][C]19[/C][C]930[/C][C]872.513[/C][C]882.5[/C][C]-9.98698[/C][C]57.487[/C][/ROW]
[ROW][C]20[/C][C]780[/C][C]742.201[/C][C]881.667[/C][C]-139.466[/C][C]37.7995[/C][/ROW]
[ROW][C]21[/C][C]810[/C][C]837.096[/C][C]882.917[/C][C]-45.8203[/C][C]-27.0964[/C][/ROW]
[ROW][C]22[/C][C]870[/C][C]862.461[/C][C]884.583[/C][C]-22.1224[/C][C]7.53906[/C][/ROW]
[ROW][C]23[/C][C]720[/C][C]745.742[/C][C]884.167[/C][C]-138.424[/C][C]-25.7422[/C][/ROW]
[ROW][C]24[/C][C]880[/C][C]955.846[/C][C]882.083[/C][C]73.763[/C][C]-75.8464[/C][/ROW]
[ROW][C]25[/C][C]920[/C][C]852.617[/C][C]875.417[/C][C]-22.7995[/C][C]67.3828[/C][/ROW]
[ROW][C]26[/C][C]920[/C][C]959.596[/C][C]869.167[/C][C]90.4297[/C][C]-39.5964[/C][/ROW]
[ROW][C]27[/C][C]950[/C][C]899.544[/C][C]867.083[/C][C]32.4609[/C][C]50.4557[/C][/ROW]
[ROW][C]28[/C][C]950[/C][C]923.555[/C][C]864.583[/C][C]58.9714[/C][C]26.4453[/C][/ROW]
[ROW][C]29[/C][C]890[/C][C]889.023[/C][C]865[/C][C]24.0234[/C][C]0.976563[/C][/ROW]
[ROW][C]30[/C][C]960[/C][C]970.638[/C][C]871.667[/C][C]98.9714[/C][C]-10.638[/C][/ROW]
[ROW][C]31[/C][C]780[/C][C]866.263[/C][C]876.25[/C][C]-9.98698[/C][C]-86.263[/C][/ROW]
[ROW][C]32[/C][C]780[/C][C]740.534[/C][C]880[/C][C]-139.466[/C][C]39.4661[/C][/ROW]
[ROW][C]33[/C][C]760[/C][C]837.93[/C][C]883.75[/C][C]-45.8203[/C][C]-77.9297[/C][/ROW]
[ROW][C]34[/C][C]860[/C][C]858.294[/C][C]880.417[/C][C]-22.1224[/C][C]1.70573[/C][/ROW]
[ROW][C]35[/C][C]740[/C][C]742.409[/C][C]880.833[/C][C]-138.424[/C][C]-2.40885[/C][/ROW]
[ROW][C]36[/C][C]1020[/C][C]958.346[/C][C]884.583[/C][C]73.763[/C][C]61.6536[/C][/ROW]
[ROW][C]37[/C][C]890[/C][C]865.534[/C][C]888.333[/C][C]-22.7995[/C][C]24.4661[/C][/ROW]
[ROW][C]38[/C][C]1040[/C][C]979.596[/C][C]889.167[/C][C]90.4297[/C][C]60.4036[/C][/ROW]
[ROW][C]39[/C][C]920[/C][C]923.294[/C][C]890.833[/C][C]32.4609[/C][C]-3.29427[/C][/ROW]
[ROW][C]40[/C][C]900[/C][C]957.305[/C][C]898.333[/C][C]58.9714[/C][C]-57.3047[/C][/ROW]
[ROW][C]41[/C][C]950[/C][C]928.607[/C][C]904.583[/C][C]24.0234[/C][C]21.3932[/C][/ROW]
[ROW][C]42[/C][C]990[/C][C]1005.22[/C][C]906.25[/C][C]98.9714[/C][C]-15.2214[/C][/ROW]
[ROW][C]43[/C][C]840[/C][C]896.263[/C][C]906.25[/C][C]-9.98698[/C][C]-56.263[/C][/ROW]
[ROW][C]44[/C][C]740[/C][C]764.284[/C][C]903.75[/C][C]-139.466[/C][C]-24.2839[/C][/ROW]
[ROW][C]45[/C][C]840[/C][C]855.013[/C][C]900.833[/C][C]-45.8203[/C][C]-15.013[/C][/ROW]
[ROW][C]46[/C][C]960[/C][C]882.044[/C][C]904.167[/C][C]-22.1224[/C][C]77.9557[/C][/ROW]
[ROW][C]47[/C][C]790[/C][C]766.576[/C][C]905[/C][C]-138.424[/C][C]23.4245[/C][/ROW]
[ROW][C]48[/C][C]1010[/C][C]976.68[/C][C]902.917[/C][C]73.763[/C][C]33.3203[/C][/ROW]
[ROW][C]49[/C][C]900[/C][C]882.201[/C][C]905[/C][C]-22.7995[/C][C]17.7995[/C][/ROW]
[ROW][C]50[/C][C]970[/C][C]997.096[/C][C]906.667[/C][C]90.4297[/C][C]-27.0964[/C][/ROW]
[ROW][C]51[/C][C]920[/C][C]939.961[/C][C]907.5[/C][C]32.4609[/C][C]-19.9609[/C][/ROW]
[ROW][C]52[/C][C]980[/C][C]966.471[/C][C]907.5[/C][C]58.9714[/C][C]13.5286[/C][/ROW]
[ROW][C]53[/C][C]890[/C][C]929.44[/C][C]905.417[/C][C]24.0234[/C][C]-39.4401[/C][/ROW]
[ROW][C]54[/C][C]1000[/C][C]1003.14[/C][C]904.167[/C][C]98.9714[/C][C]-3.13802[/C][/ROW]
[ROW][C]55[/C][C]880[/C][C]892.93[/C][C]902.917[/C][C]-9.98698[/C][C]-12.9297[/C][/ROW]
[ROW][C]56[/C][C]740[/C][C]762.617[/C][C]902.083[/C][C]-139.466[/C][C]-22.6172[/C][/ROW]
[ROW][C]57[/C][C]860[/C][C]856.68[/C][C]902.5[/C][C]-45.8203[/C][C]3.32031[/C][/ROW]
[ROW][C]58[/C][C]940[/C][C]879.128[/C][C]901.25[/C][C]-22.1224[/C][C]60.8724[/C][/ROW]
[ROW][C]59[/C][C]760[/C][C]761.159[/C][C]899.583[/C][C]-138.424[/C][C]-1.15885[/C][/ROW]
[ROW][C]60[/C][C]1010[/C][C]972.096[/C][C]898.333[/C][C]73.763[/C][C]37.9036[/C][/ROW]
[ROW][C]61[/C][C]870[/C][C]875.951[/C][C]898.75[/C][C]-22.7995[/C][C]-5.95052[/C][/ROW]
[ROW][C]62[/C][C]980[/C][C]990.013[/C][C]899.583[/C][C]90.4297[/C][C]-10.013[/C][/ROW]
[ROW][C]63[/C][C]920[/C][C]932.461[/C][C]900[/C][C]32.4609[/C][C]-12.4609[/C][/ROW]
[ROW][C]64[/C][C]950[/C][C]954.805[/C][C]895.833[/C][C]58.9714[/C][C]-4.80469[/C][/ROW]
[ROW][C]65[/C][C]880[/C][C]911.94[/C][C]887.917[/C][C]24.0234[/C][C]-31.9401[/C][/ROW]
[ROW][C]66[/C][C]980[/C][C]983.138[/C][C]884.167[/C][C]98.9714[/C][C]-3.13802[/C][/ROW]
[ROW][C]67[/C][C]910[/C][C]870.43[/C][C]880.417[/C][C]-9.98698[/C][C]39.5703[/C][/ROW]
[ROW][C]68[/C][C]730[/C][C]737.201[/C][C]876.667[/C][C]-139.466[/C][C]-7.20052[/C][/ROW]
[ROW][C]69[/C][C]880[/C][C]829.596[/C][C]875.417[/C][C]-45.8203[/C][C]50.4036[/C][/ROW]
[ROW][C]70[/C][C]820[/C][C]852.878[/C][C]875[/C][C]-22.1224[/C][C]-32.8776[/C][/ROW]
[ROW][C]71[/C][C]690[/C][C]739.076[/C][C]877.5[/C][C]-138.424[/C][C]-49.0755[/C][/ROW]
[ROW][C]72[/C][C]990[/C][C]955.013[/C][C]881.25[/C][C]73.763[/C][C]34.987[/C][/ROW]
[ROW][C]73[/C][C]800[/C][C]858.867[/C][C]881.667[/C][C]-22.7995[/C][C]-58.8672[/C][/ROW]
[ROW][C]74[/C][C]960[/C][C]968.346[/C][C]877.917[/C][C]90.4297[/C][C]-8.34635[/C][/ROW]
[ROW][C]75[/C][C]910[/C][C]906.628[/C][C]874.167[/C][C]32.4609[/C][C]3.3724[/C][/ROW]
[ROW][C]76[/C][C]950[/C][C]933.138[/C][C]874.167[/C][C]58.9714[/C][C]16.862[/C][/ROW]
[ROW][C]77[/C][C]940[/C][C]901.107[/C][C]877.083[/C][C]24.0234[/C][C]38.8932[/C][/ROW]
[ROW][C]78[/C][C]1010[/C][C]977.721[/C][C]878.75[/C][C]98.9714[/C][C]32.2786[/C][/ROW]
[ROW][C]79[/C][C]890[/C][C]869.18[/C][C]879.167[/C][C]-9.98698[/C][C]20.8203[/C][/ROW]
[ROW][C]80[/C][C]660[/C][C]745.534[/C][C]885[/C][C]-139.466[/C][C]-85.5339[/C][/ROW]
[ROW][C]81[/C][C]860[/C][C]845.013[/C][C]890.833[/C][C]-45.8203[/C][C]14.987[/C][/ROW]
[ROW][C]82[/C][C]840[/C][C]870.378[/C][C]892.5[/C][C]-22.1224[/C][C]-30.3776[/C][/ROW]
[ROW][C]83[/C][C]740[/C][C]754.492[/C][C]892.917[/C][C]-138.424[/C][C]-14.4922[/C][/ROW]
[ROW][C]84[/C][C]980[/C][C]966.263[/C][C]892.5[/C][C]73.763[/C][C]13.737[/C][/ROW]
[ROW][C]85[/C][C]820[/C][C]869.284[/C][C]892.083[/C][C]-22.7995[/C][C]-49.2839[/C][/ROW]
[ROW][C]86[/C][C]1080[/C][C]985.43[/C][C]895[/C][C]90.4297[/C][C]94.5703[/C][/ROW]
[ROW][C]87[/C][C]930[/C][C]930.794[/C][C]898.333[/C][C]32.4609[/C][C]-0.794271[/C][/ROW]
[ROW][C]88[/C][C]970[/C][C]956.055[/C][C]897.083[/C][C]58.9714[/C][C]13.9453[/C][/ROW]
[ROW][C]89[/C][C]930[/C][C]920.273[/C][C]896.25[/C][C]24.0234[/C][C]9.72656[/C][/ROW]
[ROW][C]90[/C][C]1010[/C][C]991.888[/C][C]892.917[/C][C]98.9714[/C][C]18.112[/C][/ROW]
[ROW][C]91[/C][C]880[/C][C]877.93[/C][C]887.917[/C][C]-9.98698[/C][C]2.07031[/C][/ROW]
[ROW][C]92[/C][C]740[/C][C]743.867[/C][C]883.333[/C][C]-139.466[/C][C]-3.86719[/C][/ROW]
[ROW][C]93[/C][C]860[/C][C]832.513[/C][C]878.333[/C][C]-45.8203[/C][C]27.487[/C][/ROW]
[ROW][C]94[/C][C]810[/C][C]854.544[/C][C]876.667[/C][C]-22.1224[/C][C]-44.5443[/C][/ROW]
[ROW][C]95[/C][C]750[/C][C]736.992[/C][C]875.417[/C][C]-138.424[/C][C]13.0078[/C][/ROW]
[ROW][C]96[/C][C]890[/C][C]947.096[/C][C]873.333[/C][C]73.763[/C][C]-57.0964[/C][/ROW]
[ROW][C]97[/C][C]790[/C][C]850.951[/C][C]873.75[/C][C]-22.7995[/C][C]-60.9505[/C][/ROW]
[ROW][C]98[/C][C]1000[/C][C]965.013[/C][C]874.583[/C][C]90.4297[/C][C]34.987[/C][/ROW]
[ROW][C]99[/C][C]890[/C][C]906.211[/C][C]873.75[/C][C]32.4609[/C][C]-16.2109[/C][/ROW]
[ROW][C]100[/C][C]970[/C][C]933.555[/C][C]874.583[/C][C]58.9714[/C][C]36.4453[/C][/ROW]
[ROW][C]101[/C][C]900[/C][C]903.19[/C][C]879.167[/C][C]24.0234[/C][C]-3.1901[/C][/ROW]
[ROW][C]102[/C][C]990[/C][C]983.971[/C][C]885[/C][C]98.9714[/C][C]6.02865[/C][/ROW]
[ROW][C]103[/C][C]910[/C][C]NA[/C][C]NA[/C][C]-9.98698[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]730[/C][C]NA[/C][C]NA[/C][C]-139.466[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]850[/C][C]NA[/C][C]NA[/C][C]-45.8203[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]840[/C][C]NA[/C][C]NA[/C][C]-22.1224[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]830[/C][C]NA[/C][C]NA[/C][C]-138.424[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]950[/C][C]NA[/C][C]NA[/C][C]73.763[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296383&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296383&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
1940NANA-22.7995NA
2950NANA90.4297NA
3920NANA32.4609NA
4930NANA58.9714NA
5930NANA24.0234NA
6900NANA98.9714NA
7940895.846905.833-9.9869844.1536
8840765.117904.583-139.46674.8828
9890857.513903.333-45.820332.487
10850881.628903.75-22.1224-31.6276
11830764.909903.333-138.42465.0911
12940980.013906.2573.763-40.013
13960885.951908.75-22.799574.0495
14900996.263905.83390.4297-96.263
15940932.46190032.46097.53906
16920956.471897.558.9714-36.4714
17930917.773893.7524.023412.2266
18970985.638886.66798.9714-15.638
19930872.513882.5-9.9869857.487
20780742.201881.667-139.46637.7995
21810837.096882.917-45.8203-27.0964
22870862.461884.583-22.12247.53906
23720745.742884.167-138.424-25.7422
24880955.846882.08373.763-75.8464
25920852.617875.417-22.799567.3828
26920959.596869.16790.4297-39.5964
27950899.544867.08332.460950.4557
28950923.555864.58358.971426.4453
29890889.02386524.02340.976563
30960970.638871.66798.9714-10.638
31780866.263876.25-9.98698-86.263
32780740.534880-139.46639.4661
33760837.93883.75-45.8203-77.9297
34860858.294880.417-22.12241.70573
35740742.409880.833-138.424-2.40885
361020958.346884.58373.76361.6536
37890865.534888.333-22.799524.4661
381040979.596889.16790.429760.4036
39920923.294890.83332.4609-3.29427
40900957.305898.33358.9714-57.3047
41950928.607904.58324.023421.3932
429901005.22906.2598.9714-15.2214
43840896.263906.25-9.98698-56.263
44740764.284903.75-139.466-24.2839
45840855.013900.833-45.8203-15.013
46960882.044904.167-22.122477.9557
47790766.576905-138.42423.4245
481010976.68902.91773.76333.3203
49900882.201905-22.799517.7995
50970997.096906.66790.4297-27.0964
51920939.961907.532.4609-19.9609
52980966.471907.558.971413.5286
53890929.44905.41724.0234-39.4401
5410001003.14904.16798.9714-3.13802
55880892.93902.917-9.98698-12.9297
56740762.617902.083-139.466-22.6172
57860856.68902.5-45.82033.32031
58940879.128901.25-22.122460.8724
59760761.159899.583-138.424-1.15885
601010972.096898.33373.76337.9036
61870875.951898.75-22.7995-5.95052
62980990.013899.58390.4297-10.013
63920932.46190032.4609-12.4609
64950954.805895.83358.9714-4.80469
65880911.94887.91724.0234-31.9401
66980983.138884.16798.9714-3.13802
67910870.43880.417-9.9869839.5703
68730737.201876.667-139.466-7.20052
69880829.596875.417-45.820350.4036
70820852.878875-22.1224-32.8776
71690739.076877.5-138.424-49.0755
72990955.013881.2573.76334.987
73800858.867881.667-22.7995-58.8672
74960968.346877.91790.4297-8.34635
75910906.628874.16732.46093.3724
76950933.138874.16758.971416.862
77940901.107877.08324.023438.8932
781010977.721878.7598.971432.2786
79890869.18879.167-9.9869820.8203
80660745.534885-139.466-85.5339
81860845.013890.833-45.820314.987
82840870.378892.5-22.1224-30.3776
83740754.492892.917-138.424-14.4922
84980966.263892.573.76313.737
85820869.284892.083-22.7995-49.2839
861080985.4389590.429794.5703
87930930.794898.33332.4609-0.794271
88970956.055897.08358.971413.9453
89930920.273896.2524.02349.72656
901010991.888892.91798.971418.112
91880877.93887.917-9.986982.07031
92740743.867883.333-139.466-3.86719
93860832.513878.333-45.820327.487
94810854.544876.667-22.1224-44.5443
95750736.992875.417-138.42413.0078
96890947.096873.33373.763-57.0964
97790850.951873.75-22.7995-60.9505
981000965.013874.58390.429734.987
99890906.211873.7532.4609-16.2109
100970933.555874.58358.971436.4453
101900903.19879.16724.0234-3.1901
102990983.97188598.97146.02865
103910NANA-9.98698NA
104730NANA-139.466NA
105850NANA-45.8203NA
106840NANA-22.1224NA
107830NANA-138.424NA
108950NANA73.763NA



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$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')