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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 04 Aug 2013 13:38:35 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/04/t1375637949xwnax2nxm2i5x8l.htm/, Retrieved Sat, 04 May 2024 05:48:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210937, Retrieved Sat, 04 May 2024 05:48:35 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsOngenae Olivier
Estimated Impact155
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [TIJDREEKS B - STA...] [2013-08-04 17:38:35] [a14baeeafb42bd31c8e1f231a0a4996d] [Current]
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Dataseries X:
990
1050
1000
1040
1030
980
990
940
1050
990
980
1110
1000
1000
1080
1010
960
990
900
920
1080
950
950
1060
1070
970
1070
980
970
1050
950
960
1170
990
870
1090
1070
990
1080
890
920
1100
930
950
1240
950
830
1220
1040
1080
1160
900
790
1100
1000
990
1250
970
840
1220
1100
1030
1210
830
810
1100
1020
950
1280
950
720
1150
1030
1030
1200
870
880
1090
950
1060
1280
920
630
1110
1020
1130
1160
930
930
1110
930
1070
1250
840
680
1110
990
1210
1130
920
1030
1120
880
1050
1260
790
640
1110




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210937&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210937&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210937&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1990NANA25.1736NA
21050NANA40.1736NA
31000NANA119.757NA
41040NANA-100.295NA
51030NANA-102.483NA
6980NANA70.5382NA
7990959.4971012.92-53.420130.5035
8940978.2471011.25-33.0035-38.2465
910501197.991012.5185.486-147.986
10990945.0171014.58-69.56644.9826
11980808.9761010.42-201.441171.024
12111011271007.92119.08-16.9965
1310001029.761004.5825.1736-29.7569
1410001040.17100040.1736-40.1736
1510801120.171000.42119.757-40.1736
161010899.7051000-100.295110.295
17960894.601997.083-102.48365.3993
189901064.29993.7570.5382-74.2882
19900941.163994.583-53.4201-41.1632
20920963.247996.25-33.0035-43.2465
2110801180.07994.583185.486-100.069
22950923.351992.917-69.56626.6493
23950790.642992.083-201.441159.358
2410601114.08995119.08-54.0799
2510701024.76999.58325.173645.2431
269701043.511003.3340.1736-73.5069
2710701128.511008.75119.757-58.5069
28980913.8721014.17-100.29566.1285
29970910.0171012.5-102.48359.9826
3010501080.951010.4270.5382-30.9549
31950958.2471011.67-53.4201-8.24653
32960979.4971012.5-33.0035-19.4965
3311701199.241013.75185.486-29.2361
34990940.8511010.42-69.56649.1493
35870803.1421004.58-201.44166.8576
3610901123.661004.58119.08-33.6632
3710701031.011005.8325.173638.9931
389901044.761004.5840.1736-54.7569
3910801126.841007.08119.757-46.8403
40890908.0381008.33-100.295-18.0382
41920902.5171005-102.48317.4826
4211001079.291008.7570.538220.7118
43930959.4971012.92-53.4201-29.4965
44950982.4131015.42-33.0035-32.4132
4512401207.991022.5185.48632.0139
46950956.6841026.25-69.566-6.68403
47830819.8091021.25-201.44110.191
4812201134.911015.83119.0885.0868
4910401043.921018.7525.1736-3.92361
5010801063.511023.3340.173616.4931
5111601145.171025.42119.75714.8264
52900926.3721026.67-100.295-26.3715
53790925.4341027.92-102.483-135.434
5411001098.871028.3370.53821.12847
551000977.4131030.83-53.420122.5868
56990998.2471031.25-33.0035-8.24653
5712501216.741031.25185.48633.2639
58970960.8511030.42-69.5669.14931
59840826.8921028.33-201.44113.1076
6012201148.251029.17119.0871.7535
6111001055.17103025.173644.8264
6210301069.341029.1740.1736-39.3403
6312101148.511028.75119.75761.4931
64830928.8721029.17-100.295-98.8715
65810920.8511023.33-102.483-110.851
6611001085.951015.4270.538214.0451
671020956.1631009.58-53.420163.8368
68950973.6631006.67-33.0035-23.6632
6912801191.741006.25185.48688.2639
70950937.9341007.5-69.56612.066
71720810.6421012.08-201.441-90.6424
7211501133.661014.58119.0816.3368
7310301036.421011.2525.1736-6.42361
7410301053.091012.9240.1736-23.0903
7512001137.261017.5119.75762.7431
76870915.9551016.25-100.295-45.9549
77880908.7671011.25-102.483-28.7674
7810901076.371005.8370.538213.6285
79950950.331003.75-53.4201-0.329861
801060974.4971007.5-33.003585.5035
8112801195.491010185.48684.5139
82920941.2671010.83-69.566-21.2674
83630813.9761015.42-201.441-183.976
8411101137.411018.33119.08-27.4132
8510201043.511018.3325.1736-23.5069
8611301058.091017.9240.173671.9097
8711601136.841017.08119.75723.1597
88930912.2051012.5-100.29517.7951
89930908.7671011.25-102.48321.2326
9011101083.871013.3370.538226.1285
91930958.6631012.08-53.4201-28.6632
921070981.1631014.17-33.003588.8368
9312501201.741016.25185.48648.2639
94840945.0171014.58-69.566-105.017
95680816.8921018.33-201.441-136.892
96111011421022.92119.08-31.9965
979901046.421021.2525.1736-56.4236
9812101058.511018.3340.1736151.493
9911301137.671017.92119.757-7.67361
100920915.9551016.25-100.2954.04514
1011030910.0171012.5-102.483119.983
10211201081.371010.8370.538238.6285
103880NANA-53.4201NA
1041050NANA-33.0035NA
1051260NANA185.486NA
106790NANA-69.566NA
107640NANA-201.441NA
1081110NANA119.08NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 990 & NA & NA & 25.1736 & NA \tabularnewline
2 & 1050 & NA & NA & 40.1736 & NA \tabularnewline
3 & 1000 & NA & NA & 119.757 & NA \tabularnewline
4 & 1040 & NA & NA & -100.295 & NA \tabularnewline
5 & 1030 & NA & NA & -102.483 & NA \tabularnewline
6 & 980 & NA & NA & 70.5382 & NA \tabularnewline
7 & 990 & 959.497 & 1012.92 & -53.4201 & 30.5035 \tabularnewline
8 & 940 & 978.247 & 1011.25 & -33.0035 & -38.2465 \tabularnewline
9 & 1050 & 1197.99 & 1012.5 & 185.486 & -147.986 \tabularnewline
10 & 990 & 945.017 & 1014.58 & -69.566 & 44.9826 \tabularnewline
11 & 980 & 808.976 & 1010.42 & -201.441 & 171.024 \tabularnewline
12 & 1110 & 1127 & 1007.92 & 119.08 & -16.9965 \tabularnewline
13 & 1000 & 1029.76 & 1004.58 & 25.1736 & -29.7569 \tabularnewline
14 & 1000 & 1040.17 & 1000 & 40.1736 & -40.1736 \tabularnewline
15 & 1080 & 1120.17 & 1000.42 & 119.757 & -40.1736 \tabularnewline
16 & 1010 & 899.705 & 1000 & -100.295 & 110.295 \tabularnewline
17 & 960 & 894.601 & 997.083 & -102.483 & 65.3993 \tabularnewline
18 & 990 & 1064.29 & 993.75 & 70.5382 & -74.2882 \tabularnewline
19 & 900 & 941.163 & 994.583 & -53.4201 & -41.1632 \tabularnewline
20 & 920 & 963.247 & 996.25 & -33.0035 & -43.2465 \tabularnewline
21 & 1080 & 1180.07 & 994.583 & 185.486 & -100.069 \tabularnewline
22 & 950 & 923.351 & 992.917 & -69.566 & 26.6493 \tabularnewline
23 & 950 & 790.642 & 992.083 & -201.441 & 159.358 \tabularnewline
24 & 1060 & 1114.08 & 995 & 119.08 & -54.0799 \tabularnewline
25 & 1070 & 1024.76 & 999.583 & 25.1736 & 45.2431 \tabularnewline
26 & 970 & 1043.51 & 1003.33 & 40.1736 & -73.5069 \tabularnewline
27 & 1070 & 1128.51 & 1008.75 & 119.757 & -58.5069 \tabularnewline
28 & 980 & 913.872 & 1014.17 & -100.295 & 66.1285 \tabularnewline
29 & 970 & 910.017 & 1012.5 & -102.483 & 59.9826 \tabularnewline
30 & 1050 & 1080.95 & 1010.42 & 70.5382 & -30.9549 \tabularnewline
31 & 950 & 958.247 & 1011.67 & -53.4201 & -8.24653 \tabularnewline
32 & 960 & 979.497 & 1012.5 & -33.0035 & -19.4965 \tabularnewline
33 & 1170 & 1199.24 & 1013.75 & 185.486 & -29.2361 \tabularnewline
34 & 990 & 940.851 & 1010.42 & -69.566 & 49.1493 \tabularnewline
35 & 870 & 803.142 & 1004.58 & -201.441 & 66.8576 \tabularnewline
36 & 1090 & 1123.66 & 1004.58 & 119.08 & -33.6632 \tabularnewline
37 & 1070 & 1031.01 & 1005.83 & 25.1736 & 38.9931 \tabularnewline
38 & 990 & 1044.76 & 1004.58 & 40.1736 & -54.7569 \tabularnewline
39 & 1080 & 1126.84 & 1007.08 & 119.757 & -46.8403 \tabularnewline
40 & 890 & 908.038 & 1008.33 & -100.295 & -18.0382 \tabularnewline
41 & 920 & 902.517 & 1005 & -102.483 & 17.4826 \tabularnewline
42 & 1100 & 1079.29 & 1008.75 & 70.5382 & 20.7118 \tabularnewline
43 & 930 & 959.497 & 1012.92 & -53.4201 & -29.4965 \tabularnewline
44 & 950 & 982.413 & 1015.42 & -33.0035 & -32.4132 \tabularnewline
45 & 1240 & 1207.99 & 1022.5 & 185.486 & 32.0139 \tabularnewline
46 & 950 & 956.684 & 1026.25 & -69.566 & -6.68403 \tabularnewline
47 & 830 & 819.809 & 1021.25 & -201.441 & 10.191 \tabularnewline
48 & 1220 & 1134.91 & 1015.83 & 119.08 & 85.0868 \tabularnewline
49 & 1040 & 1043.92 & 1018.75 & 25.1736 & -3.92361 \tabularnewline
50 & 1080 & 1063.51 & 1023.33 & 40.1736 & 16.4931 \tabularnewline
51 & 1160 & 1145.17 & 1025.42 & 119.757 & 14.8264 \tabularnewline
52 & 900 & 926.372 & 1026.67 & -100.295 & -26.3715 \tabularnewline
53 & 790 & 925.434 & 1027.92 & -102.483 & -135.434 \tabularnewline
54 & 1100 & 1098.87 & 1028.33 & 70.5382 & 1.12847 \tabularnewline
55 & 1000 & 977.413 & 1030.83 & -53.4201 & 22.5868 \tabularnewline
56 & 990 & 998.247 & 1031.25 & -33.0035 & -8.24653 \tabularnewline
57 & 1250 & 1216.74 & 1031.25 & 185.486 & 33.2639 \tabularnewline
58 & 970 & 960.851 & 1030.42 & -69.566 & 9.14931 \tabularnewline
59 & 840 & 826.892 & 1028.33 & -201.441 & 13.1076 \tabularnewline
60 & 1220 & 1148.25 & 1029.17 & 119.08 & 71.7535 \tabularnewline
61 & 1100 & 1055.17 & 1030 & 25.1736 & 44.8264 \tabularnewline
62 & 1030 & 1069.34 & 1029.17 & 40.1736 & -39.3403 \tabularnewline
63 & 1210 & 1148.51 & 1028.75 & 119.757 & 61.4931 \tabularnewline
64 & 830 & 928.872 & 1029.17 & -100.295 & -98.8715 \tabularnewline
65 & 810 & 920.851 & 1023.33 & -102.483 & -110.851 \tabularnewline
66 & 1100 & 1085.95 & 1015.42 & 70.5382 & 14.0451 \tabularnewline
67 & 1020 & 956.163 & 1009.58 & -53.4201 & 63.8368 \tabularnewline
68 & 950 & 973.663 & 1006.67 & -33.0035 & -23.6632 \tabularnewline
69 & 1280 & 1191.74 & 1006.25 & 185.486 & 88.2639 \tabularnewline
70 & 950 & 937.934 & 1007.5 & -69.566 & 12.066 \tabularnewline
71 & 720 & 810.642 & 1012.08 & -201.441 & -90.6424 \tabularnewline
72 & 1150 & 1133.66 & 1014.58 & 119.08 & 16.3368 \tabularnewline
73 & 1030 & 1036.42 & 1011.25 & 25.1736 & -6.42361 \tabularnewline
74 & 1030 & 1053.09 & 1012.92 & 40.1736 & -23.0903 \tabularnewline
75 & 1200 & 1137.26 & 1017.5 & 119.757 & 62.7431 \tabularnewline
76 & 870 & 915.955 & 1016.25 & -100.295 & -45.9549 \tabularnewline
77 & 880 & 908.767 & 1011.25 & -102.483 & -28.7674 \tabularnewline
78 & 1090 & 1076.37 & 1005.83 & 70.5382 & 13.6285 \tabularnewline
79 & 950 & 950.33 & 1003.75 & -53.4201 & -0.329861 \tabularnewline
80 & 1060 & 974.497 & 1007.5 & -33.0035 & 85.5035 \tabularnewline
81 & 1280 & 1195.49 & 1010 & 185.486 & 84.5139 \tabularnewline
82 & 920 & 941.267 & 1010.83 & -69.566 & -21.2674 \tabularnewline
83 & 630 & 813.976 & 1015.42 & -201.441 & -183.976 \tabularnewline
84 & 1110 & 1137.41 & 1018.33 & 119.08 & -27.4132 \tabularnewline
85 & 1020 & 1043.51 & 1018.33 & 25.1736 & -23.5069 \tabularnewline
86 & 1130 & 1058.09 & 1017.92 & 40.1736 & 71.9097 \tabularnewline
87 & 1160 & 1136.84 & 1017.08 & 119.757 & 23.1597 \tabularnewline
88 & 930 & 912.205 & 1012.5 & -100.295 & 17.7951 \tabularnewline
89 & 930 & 908.767 & 1011.25 & -102.483 & 21.2326 \tabularnewline
90 & 1110 & 1083.87 & 1013.33 & 70.5382 & 26.1285 \tabularnewline
91 & 930 & 958.663 & 1012.08 & -53.4201 & -28.6632 \tabularnewline
92 & 1070 & 981.163 & 1014.17 & -33.0035 & 88.8368 \tabularnewline
93 & 1250 & 1201.74 & 1016.25 & 185.486 & 48.2639 \tabularnewline
94 & 840 & 945.017 & 1014.58 & -69.566 & -105.017 \tabularnewline
95 & 680 & 816.892 & 1018.33 & -201.441 & -136.892 \tabularnewline
96 & 1110 & 1142 & 1022.92 & 119.08 & -31.9965 \tabularnewline
97 & 990 & 1046.42 & 1021.25 & 25.1736 & -56.4236 \tabularnewline
98 & 1210 & 1058.51 & 1018.33 & 40.1736 & 151.493 \tabularnewline
99 & 1130 & 1137.67 & 1017.92 & 119.757 & -7.67361 \tabularnewline
100 & 920 & 915.955 & 1016.25 & -100.295 & 4.04514 \tabularnewline
101 & 1030 & 910.017 & 1012.5 & -102.483 & 119.983 \tabularnewline
102 & 1120 & 1081.37 & 1010.83 & 70.5382 & 38.6285 \tabularnewline
103 & 880 & NA & NA & -53.4201 & NA \tabularnewline
104 & 1050 & NA & NA & -33.0035 & NA \tabularnewline
105 & 1260 & NA & NA & 185.486 & NA \tabularnewline
106 & 790 & NA & NA & -69.566 & NA \tabularnewline
107 & 640 & NA & NA & -201.441 & NA \tabularnewline
108 & 1110 & NA & NA & 119.08 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210937&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]990[/C][C]NA[/C][C]NA[/C][C]25.1736[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1050[/C][C]NA[/C][C]NA[/C][C]40.1736[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1000[/C][C]NA[/C][C]NA[/C][C]119.757[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1040[/C][C]NA[/C][C]NA[/C][C]-100.295[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1030[/C][C]NA[/C][C]NA[/C][C]-102.483[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]980[/C][C]NA[/C][C]NA[/C][C]70.5382[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]990[/C][C]959.497[/C][C]1012.92[/C][C]-53.4201[/C][C]30.5035[/C][/ROW]
[ROW][C]8[/C][C]940[/C][C]978.247[/C][C]1011.25[/C][C]-33.0035[/C][C]-38.2465[/C][/ROW]
[ROW][C]9[/C][C]1050[/C][C]1197.99[/C][C]1012.5[/C][C]185.486[/C][C]-147.986[/C][/ROW]
[ROW][C]10[/C][C]990[/C][C]945.017[/C][C]1014.58[/C][C]-69.566[/C][C]44.9826[/C][/ROW]
[ROW][C]11[/C][C]980[/C][C]808.976[/C][C]1010.42[/C][C]-201.441[/C][C]171.024[/C][/ROW]
[ROW][C]12[/C][C]1110[/C][C]1127[/C][C]1007.92[/C][C]119.08[/C][C]-16.9965[/C][/ROW]
[ROW][C]13[/C][C]1000[/C][C]1029.76[/C][C]1004.58[/C][C]25.1736[/C][C]-29.7569[/C][/ROW]
[ROW][C]14[/C][C]1000[/C][C]1040.17[/C][C]1000[/C][C]40.1736[/C][C]-40.1736[/C][/ROW]
[ROW][C]15[/C][C]1080[/C][C]1120.17[/C][C]1000.42[/C][C]119.757[/C][C]-40.1736[/C][/ROW]
[ROW][C]16[/C][C]1010[/C][C]899.705[/C][C]1000[/C][C]-100.295[/C][C]110.295[/C][/ROW]
[ROW][C]17[/C][C]960[/C][C]894.601[/C][C]997.083[/C][C]-102.483[/C][C]65.3993[/C][/ROW]
[ROW][C]18[/C][C]990[/C][C]1064.29[/C][C]993.75[/C][C]70.5382[/C][C]-74.2882[/C][/ROW]
[ROW][C]19[/C][C]900[/C][C]941.163[/C][C]994.583[/C][C]-53.4201[/C][C]-41.1632[/C][/ROW]
[ROW][C]20[/C][C]920[/C][C]963.247[/C][C]996.25[/C][C]-33.0035[/C][C]-43.2465[/C][/ROW]
[ROW][C]21[/C][C]1080[/C][C]1180.07[/C][C]994.583[/C][C]185.486[/C][C]-100.069[/C][/ROW]
[ROW][C]22[/C][C]950[/C][C]923.351[/C][C]992.917[/C][C]-69.566[/C][C]26.6493[/C][/ROW]
[ROW][C]23[/C][C]950[/C][C]790.642[/C][C]992.083[/C][C]-201.441[/C][C]159.358[/C][/ROW]
[ROW][C]24[/C][C]1060[/C][C]1114.08[/C][C]995[/C][C]119.08[/C][C]-54.0799[/C][/ROW]
[ROW][C]25[/C][C]1070[/C][C]1024.76[/C][C]999.583[/C][C]25.1736[/C][C]45.2431[/C][/ROW]
[ROW][C]26[/C][C]970[/C][C]1043.51[/C][C]1003.33[/C][C]40.1736[/C][C]-73.5069[/C][/ROW]
[ROW][C]27[/C][C]1070[/C][C]1128.51[/C][C]1008.75[/C][C]119.757[/C][C]-58.5069[/C][/ROW]
[ROW][C]28[/C][C]980[/C][C]913.872[/C][C]1014.17[/C][C]-100.295[/C][C]66.1285[/C][/ROW]
[ROW][C]29[/C][C]970[/C][C]910.017[/C][C]1012.5[/C][C]-102.483[/C][C]59.9826[/C][/ROW]
[ROW][C]30[/C][C]1050[/C][C]1080.95[/C][C]1010.42[/C][C]70.5382[/C][C]-30.9549[/C][/ROW]
[ROW][C]31[/C][C]950[/C][C]958.247[/C][C]1011.67[/C][C]-53.4201[/C][C]-8.24653[/C][/ROW]
[ROW][C]32[/C][C]960[/C][C]979.497[/C][C]1012.5[/C][C]-33.0035[/C][C]-19.4965[/C][/ROW]
[ROW][C]33[/C][C]1170[/C][C]1199.24[/C][C]1013.75[/C][C]185.486[/C][C]-29.2361[/C][/ROW]
[ROW][C]34[/C][C]990[/C][C]940.851[/C][C]1010.42[/C][C]-69.566[/C][C]49.1493[/C][/ROW]
[ROW][C]35[/C][C]870[/C][C]803.142[/C][C]1004.58[/C][C]-201.441[/C][C]66.8576[/C][/ROW]
[ROW][C]36[/C][C]1090[/C][C]1123.66[/C][C]1004.58[/C][C]119.08[/C][C]-33.6632[/C][/ROW]
[ROW][C]37[/C][C]1070[/C][C]1031.01[/C][C]1005.83[/C][C]25.1736[/C][C]38.9931[/C][/ROW]
[ROW][C]38[/C][C]990[/C][C]1044.76[/C][C]1004.58[/C][C]40.1736[/C][C]-54.7569[/C][/ROW]
[ROW][C]39[/C][C]1080[/C][C]1126.84[/C][C]1007.08[/C][C]119.757[/C][C]-46.8403[/C][/ROW]
[ROW][C]40[/C][C]890[/C][C]908.038[/C][C]1008.33[/C][C]-100.295[/C][C]-18.0382[/C][/ROW]
[ROW][C]41[/C][C]920[/C][C]902.517[/C][C]1005[/C][C]-102.483[/C][C]17.4826[/C][/ROW]
[ROW][C]42[/C][C]1100[/C][C]1079.29[/C][C]1008.75[/C][C]70.5382[/C][C]20.7118[/C][/ROW]
[ROW][C]43[/C][C]930[/C][C]959.497[/C][C]1012.92[/C][C]-53.4201[/C][C]-29.4965[/C][/ROW]
[ROW][C]44[/C][C]950[/C][C]982.413[/C][C]1015.42[/C][C]-33.0035[/C][C]-32.4132[/C][/ROW]
[ROW][C]45[/C][C]1240[/C][C]1207.99[/C][C]1022.5[/C][C]185.486[/C][C]32.0139[/C][/ROW]
[ROW][C]46[/C][C]950[/C][C]956.684[/C][C]1026.25[/C][C]-69.566[/C][C]-6.68403[/C][/ROW]
[ROW][C]47[/C][C]830[/C][C]819.809[/C][C]1021.25[/C][C]-201.441[/C][C]10.191[/C][/ROW]
[ROW][C]48[/C][C]1220[/C][C]1134.91[/C][C]1015.83[/C][C]119.08[/C][C]85.0868[/C][/ROW]
[ROW][C]49[/C][C]1040[/C][C]1043.92[/C][C]1018.75[/C][C]25.1736[/C][C]-3.92361[/C][/ROW]
[ROW][C]50[/C][C]1080[/C][C]1063.51[/C][C]1023.33[/C][C]40.1736[/C][C]16.4931[/C][/ROW]
[ROW][C]51[/C][C]1160[/C][C]1145.17[/C][C]1025.42[/C][C]119.757[/C][C]14.8264[/C][/ROW]
[ROW][C]52[/C][C]900[/C][C]926.372[/C][C]1026.67[/C][C]-100.295[/C][C]-26.3715[/C][/ROW]
[ROW][C]53[/C][C]790[/C][C]925.434[/C][C]1027.92[/C][C]-102.483[/C][C]-135.434[/C][/ROW]
[ROW][C]54[/C][C]1100[/C][C]1098.87[/C][C]1028.33[/C][C]70.5382[/C][C]1.12847[/C][/ROW]
[ROW][C]55[/C][C]1000[/C][C]977.413[/C][C]1030.83[/C][C]-53.4201[/C][C]22.5868[/C][/ROW]
[ROW][C]56[/C][C]990[/C][C]998.247[/C][C]1031.25[/C][C]-33.0035[/C][C]-8.24653[/C][/ROW]
[ROW][C]57[/C][C]1250[/C][C]1216.74[/C][C]1031.25[/C][C]185.486[/C][C]33.2639[/C][/ROW]
[ROW][C]58[/C][C]970[/C][C]960.851[/C][C]1030.42[/C][C]-69.566[/C][C]9.14931[/C][/ROW]
[ROW][C]59[/C][C]840[/C][C]826.892[/C][C]1028.33[/C][C]-201.441[/C][C]13.1076[/C][/ROW]
[ROW][C]60[/C][C]1220[/C][C]1148.25[/C][C]1029.17[/C][C]119.08[/C][C]71.7535[/C][/ROW]
[ROW][C]61[/C][C]1100[/C][C]1055.17[/C][C]1030[/C][C]25.1736[/C][C]44.8264[/C][/ROW]
[ROW][C]62[/C][C]1030[/C][C]1069.34[/C][C]1029.17[/C][C]40.1736[/C][C]-39.3403[/C][/ROW]
[ROW][C]63[/C][C]1210[/C][C]1148.51[/C][C]1028.75[/C][C]119.757[/C][C]61.4931[/C][/ROW]
[ROW][C]64[/C][C]830[/C][C]928.872[/C][C]1029.17[/C][C]-100.295[/C][C]-98.8715[/C][/ROW]
[ROW][C]65[/C][C]810[/C][C]920.851[/C][C]1023.33[/C][C]-102.483[/C][C]-110.851[/C][/ROW]
[ROW][C]66[/C][C]1100[/C][C]1085.95[/C][C]1015.42[/C][C]70.5382[/C][C]14.0451[/C][/ROW]
[ROW][C]67[/C][C]1020[/C][C]956.163[/C][C]1009.58[/C][C]-53.4201[/C][C]63.8368[/C][/ROW]
[ROW][C]68[/C][C]950[/C][C]973.663[/C][C]1006.67[/C][C]-33.0035[/C][C]-23.6632[/C][/ROW]
[ROW][C]69[/C][C]1280[/C][C]1191.74[/C][C]1006.25[/C][C]185.486[/C][C]88.2639[/C][/ROW]
[ROW][C]70[/C][C]950[/C][C]937.934[/C][C]1007.5[/C][C]-69.566[/C][C]12.066[/C][/ROW]
[ROW][C]71[/C][C]720[/C][C]810.642[/C][C]1012.08[/C][C]-201.441[/C][C]-90.6424[/C][/ROW]
[ROW][C]72[/C][C]1150[/C][C]1133.66[/C][C]1014.58[/C][C]119.08[/C][C]16.3368[/C][/ROW]
[ROW][C]73[/C][C]1030[/C][C]1036.42[/C][C]1011.25[/C][C]25.1736[/C][C]-6.42361[/C][/ROW]
[ROW][C]74[/C][C]1030[/C][C]1053.09[/C][C]1012.92[/C][C]40.1736[/C][C]-23.0903[/C][/ROW]
[ROW][C]75[/C][C]1200[/C][C]1137.26[/C][C]1017.5[/C][C]119.757[/C][C]62.7431[/C][/ROW]
[ROW][C]76[/C][C]870[/C][C]915.955[/C][C]1016.25[/C][C]-100.295[/C][C]-45.9549[/C][/ROW]
[ROW][C]77[/C][C]880[/C][C]908.767[/C][C]1011.25[/C][C]-102.483[/C][C]-28.7674[/C][/ROW]
[ROW][C]78[/C][C]1090[/C][C]1076.37[/C][C]1005.83[/C][C]70.5382[/C][C]13.6285[/C][/ROW]
[ROW][C]79[/C][C]950[/C][C]950.33[/C][C]1003.75[/C][C]-53.4201[/C][C]-0.329861[/C][/ROW]
[ROW][C]80[/C][C]1060[/C][C]974.497[/C][C]1007.5[/C][C]-33.0035[/C][C]85.5035[/C][/ROW]
[ROW][C]81[/C][C]1280[/C][C]1195.49[/C][C]1010[/C][C]185.486[/C][C]84.5139[/C][/ROW]
[ROW][C]82[/C][C]920[/C][C]941.267[/C][C]1010.83[/C][C]-69.566[/C][C]-21.2674[/C][/ROW]
[ROW][C]83[/C][C]630[/C][C]813.976[/C][C]1015.42[/C][C]-201.441[/C][C]-183.976[/C][/ROW]
[ROW][C]84[/C][C]1110[/C][C]1137.41[/C][C]1018.33[/C][C]119.08[/C][C]-27.4132[/C][/ROW]
[ROW][C]85[/C][C]1020[/C][C]1043.51[/C][C]1018.33[/C][C]25.1736[/C][C]-23.5069[/C][/ROW]
[ROW][C]86[/C][C]1130[/C][C]1058.09[/C][C]1017.92[/C][C]40.1736[/C][C]71.9097[/C][/ROW]
[ROW][C]87[/C][C]1160[/C][C]1136.84[/C][C]1017.08[/C][C]119.757[/C][C]23.1597[/C][/ROW]
[ROW][C]88[/C][C]930[/C][C]912.205[/C][C]1012.5[/C][C]-100.295[/C][C]17.7951[/C][/ROW]
[ROW][C]89[/C][C]930[/C][C]908.767[/C][C]1011.25[/C][C]-102.483[/C][C]21.2326[/C][/ROW]
[ROW][C]90[/C][C]1110[/C][C]1083.87[/C][C]1013.33[/C][C]70.5382[/C][C]26.1285[/C][/ROW]
[ROW][C]91[/C][C]930[/C][C]958.663[/C][C]1012.08[/C][C]-53.4201[/C][C]-28.6632[/C][/ROW]
[ROW][C]92[/C][C]1070[/C][C]981.163[/C][C]1014.17[/C][C]-33.0035[/C][C]88.8368[/C][/ROW]
[ROW][C]93[/C][C]1250[/C][C]1201.74[/C][C]1016.25[/C][C]185.486[/C][C]48.2639[/C][/ROW]
[ROW][C]94[/C][C]840[/C][C]945.017[/C][C]1014.58[/C][C]-69.566[/C][C]-105.017[/C][/ROW]
[ROW][C]95[/C][C]680[/C][C]816.892[/C][C]1018.33[/C][C]-201.441[/C][C]-136.892[/C][/ROW]
[ROW][C]96[/C][C]1110[/C][C]1142[/C][C]1022.92[/C][C]119.08[/C][C]-31.9965[/C][/ROW]
[ROW][C]97[/C][C]990[/C][C]1046.42[/C][C]1021.25[/C][C]25.1736[/C][C]-56.4236[/C][/ROW]
[ROW][C]98[/C][C]1210[/C][C]1058.51[/C][C]1018.33[/C][C]40.1736[/C][C]151.493[/C][/ROW]
[ROW][C]99[/C][C]1130[/C][C]1137.67[/C][C]1017.92[/C][C]119.757[/C][C]-7.67361[/C][/ROW]
[ROW][C]100[/C][C]920[/C][C]915.955[/C][C]1016.25[/C][C]-100.295[/C][C]4.04514[/C][/ROW]
[ROW][C]101[/C][C]1030[/C][C]910.017[/C][C]1012.5[/C][C]-102.483[/C][C]119.983[/C][/ROW]
[ROW][C]102[/C][C]1120[/C][C]1081.37[/C][C]1010.83[/C][C]70.5382[/C][C]38.6285[/C][/ROW]
[ROW][C]103[/C][C]880[/C][C]NA[/C][C]NA[/C][C]-53.4201[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]1050[/C][C]NA[/C][C]NA[/C][C]-33.0035[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]1260[/C][C]NA[/C][C]NA[/C][C]185.486[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]790[/C][C]NA[/C][C]NA[/C][C]-69.566[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]640[/C][C]NA[/C][C]NA[/C][C]-201.441[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]1110[/C][C]NA[/C][C]NA[/C][C]119.08[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210937&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210937&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
1990NANA25.1736NA
21050NANA40.1736NA
31000NANA119.757NA
41040NANA-100.295NA
51030NANA-102.483NA
6980NANA70.5382NA
7990959.4971012.92-53.420130.5035
8940978.2471011.25-33.0035-38.2465
910501197.991012.5185.486-147.986
10990945.0171014.58-69.56644.9826
11980808.9761010.42-201.441171.024
12111011271007.92119.08-16.9965
1310001029.761004.5825.1736-29.7569
1410001040.17100040.1736-40.1736
1510801120.171000.42119.757-40.1736
161010899.7051000-100.295110.295
17960894.601997.083-102.48365.3993
189901064.29993.7570.5382-74.2882
19900941.163994.583-53.4201-41.1632
20920963.247996.25-33.0035-43.2465
2110801180.07994.583185.486-100.069
22950923.351992.917-69.56626.6493
23950790.642992.083-201.441159.358
2410601114.08995119.08-54.0799
2510701024.76999.58325.173645.2431
269701043.511003.3340.1736-73.5069
2710701128.511008.75119.757-58.5069
28980913.8721014.17-100.29566.1285
29970910.0171012.5-102.48359.9826
3010501080.951010.4270.5382-30.9549
31950958.2471011.67-53.4201-8.24653
32960979.4971012.5-33.0035-19.4965
3311701199.241013.75185.486-29.2361
34990940.8511010.42-69.56649.1493
35870803.1421004.58-201.44166.8576
3610901123.661004.58119.08-33.6632
3710701031.011005.8325.173638.9931
389901044.761004.5840.1736-54.7569
3910801126.841007.08119.757-46.8403
40890908.0381008.33-100.295-18.0382
41920902.5171005-102.48317.4826
4211001079.291008.7570.538220.7118
43930959.4971012.92-53.4201-29.4965
44950982.4131015.42-33.0035-32.4132
4512401207.991022.5185.48632.0139
46950956.6841026.25-69.566-6.68403
47830819.8091021.25-201.44110.191
4812201134.911015.83119.0885.0868
4910401043.921018.7525.1736-3.92361
5010801063.511023.3340.173616.4931
5111601145.171025.42119.75714.8264
52900926.3721026.67-100.295-26.3715
53790925.4341027.92-102.483-135.434
5411001098.871028.3370.53821.12847
551000977.4131030.83-53.420122.5868
56990998.2471031.25-33.0035-8.24653
5712501216.741031.25185.48633.2639
58970960.8511030.42-69.5669.14931
59840826.8921028.33-201.44113.1076
6012201148.251029.17119.0871.7535
6111001055.17103025.173644.8264
6210301069.341029.1740.1736-39.3403
6312101148.511028.75119.75761.4931
64830928.8721029.17-100.295-98.8715
65810920.8511023.33-102.483-110.851
6611001085.951015.4270.538214.0451
671020956.1631009.58-53.420163.8368
68950973.6631006.67-33.0035-23.6632
6912801191.741006.25185.48688.2639
70950937.9341007.5-69.56612.066
71720810.6421012.08-201.441-90.6424
7211501133.661014.58119.0816.3368
7310301036.421011.2525.1736-6.42361
7410301053.091012.9240.1736-23.0903
7512001137.261017.5119.75762.7431
76870915.9551016.25-100.295-45.9549
77880908.7671011.25-102.483-28.7674
7810901076.371005.8370.538213.6285
79950950.331003.75-53.4201-0.329861
801060974.4971007.5-33.003585.5035
8112801195.491010185.48684.5139
82920941.2671010.83-69.566-21.2674
83630813.9761015.42-201.441-183.976
8411101137.411018.33119.08-27.4132
8510201043.511018.3325.1736-23.5069
8611301058.091017.9240.173671.9097
8711601136.841017.08119.75723.1597
88930912.2051012.5-100.29517.7951
89930908.7671011.25-102.48321.2326
9011101083.871013.3370.538226.1285
91930958.6631012.08-53.4201-28.6632
921070981.1631014.17-33.003588.8368
9312501201.741016.25185.48648.2639
94840945.0171014.58-69.566-105.017
95680816.8921018.33-201.441-136.892
96111011421022.92119.08-31.9965
979901046.421021.2525.1736-56.4236
9812101058.511018.3340.1736151.493
9911301137.671017.92119.757-7.67361
100920915.9551016.25-100.2954.04514
1011030910.0171012.5-102.483119.983
10211201081.371010.8370.538238.6285
103880NANA-53.4201NA
1041050NANA-33.0035NA
1051260NANA185.486NA
106790NANA-69.566NA
107640NANA-201.441NA
1081110NANA119.08NA



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