Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 21 Aug 2013 02:35:10 -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/21/t1377066996mlf0jqxcajpi65k.htm/, Retrieved Sat, 27 Apr 2024 18:54:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211292, Retrieved Sat, 27 Apr 2024 18:54:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-08-21 06:35:10] [bdb7c0ed7ba273e65f9ee772c5dda4f0] [Current]
Feedback Forum

Post a new message
Dataseries X:
1165010
1160665
1156265
1147162.5
1237238.75
1232481.25
1165010
1120157.5
1124488.75
1124488.75
1129328.75
1138005
1151507.5
1151507.5
1142831.25
1120157.5
1237238.75
1255086.25
1228136.25
1165010
1192015
1151507.5
1169781.25
1178512.5
1187615
1165010
1169781.25
1138005
1237238.75
1268588.75
1241638.75
1192015
1245983.75
1187615
1241638.75
1237238.75
1250755
1201131.25
1255086.25
1250755
1331715
1313441.25
1241638.75
1205462.5
1255086.25
1187615
1237238.75
1245983.75
1264257.5
1223805
1245983.75
1259486.25
1309110
1268588.75
1214633.75
1156265
1210288.75
1061788.75
1133660
1174112.5
1214633.75
1156265
1156265
1156265
1187615
1142831.25
1084036.25
1034838.75
1070533.75
931205
1016578.75
1066188.75
1075305
1025681.25
1030012.5
1016578.75
1061788.75
1030012.5
967381.25
922102.5
998662.5
832383.75
940362.5
989560
989560
931205
877236.25
872905
922102.5
877236.25
791931.25
733136.25
796276.25
647831.25
782760
854562.5
877236.25
827626.25
764926.25
809778.75
827626.25
814110
679126.25
616481.25
661278.75
526350
665678.75
715302.5
755755
688283.75
625157.5
661278.75
679126.25
643431.25
508502.5
449707.5
503676.25
355231.25
517178.75
616481.25




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211292&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211292&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211292&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'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11165010NANA1.04689NA
21160665NANA1.00798NA
31156265NANA0.995612NA
41147162.5NANA1.01031NA
51237238.75NANA1.07083NA
61232481.25NANA1.0547NA
71165010114441011578000.9884361.018
81120157.5108965011568500.9419131.02799
91124488.75114668011559100.9920160.980646
101124488.75103059011542300.8928821.09112
111129328.75112841011531000.978591.00081
121138005117694011540401.019840.96692
131151507.5121189011576101.046890.950173
141151507.5117139011621101.007980.983026
151142831.25116168011668000.9956120.983778
161120157.5118280011707401.010310.947035
171237238.75125667011735501.070830.984538
181255086.25124130011769201.05471.01111
191228136.25116647011801100.9884361.05287
201165010111351011821800.9419131.04625
211192015117441011838600.9920161.01499
221151507.5105872011857300.8928821.08764
231169781.25116107011864700.978591.0075
241178512.5121059011870401.019840.973504
251187615124387011881601.046890.954772
261165010119935011898501.007980.971368
271169781.25118799011932200.9956120.984674
281138005120932011969801.010310.941031
291237238.75128658012014801.070830.961651
301268588.75127294012069201.05470.996583
311241638.75119798012119900.9884361.03644
321192015114549012161300.9419131.04062
331245983.75121144012211900.9920161.02851
341187615109775012294400.8928821.08187
351241638.75121157012380800.978591.02482
361237238.75126856012438801.019840.975309
371250755130416012457501.046890.959049
381201131.25125626012463101.007980.956116
391255086.25124178012472500.9956121.01072
401250755126049012476301.010310.992275
411331715133580012474501.070830.996938
421313441.25131588012476301.05470.99815
431241638.75123412012485600.9884361.0061
441205462.5117745012500600.9419131.02379
451255086.25124064012506300.9920161.01164
461187615111665012506100.8928821.06355
471237238.75122327012500300.978591.01142
481245983.75127197012472201.019840.979571
491264257.5130257012442301.046890.970588
501223805125096012410501.007980.978291
511245983.75123171012371400.9956121.01159
521259486.25124271012300301.010311.0135
531309110130692012204701.070831.00168
541268588.75127952012131601.05470.991455
551214633.75119413012081000.9884361.01717
561156265113332012032200.9419131.02024
571210288.75118711011966600.9920161.01953
581061788.75106130011886200.8928821.00046
591133660115401011792600.978590.982364
601174112.5119215011689601.019840.984869
611214633.75121259011582801.046891.00169
621156265115694011477801.007980.999417
631156265113190011368900.9956121.02152
641156265113723011256301.010311.01673
651187615119431011153101.070830.994396
661142831.25116643011059301.05470.979767
671084036.25108296010956300.9884361.00099
681034838.75102140010843900.9419131.01316
691070533.75106511010736800.9920161.00509
7093120594877910626000.8928820.981477
711016578.75102903010515400.978590.987903
721066188.75106226010416001.019841.0037
731075305108043010320401.046890.99526
741025681.25103064010224801.007980.995188
751030012.5101033010147900.9956121.01948
761016578.75101806010076701.010310.998543
771061788.75107124010003801.070830.991179
781030012.510483909940121.05470.982474
79967381.259758309872470.9884360.991342
80922102.59228279797370.9419130.999215
81998662.59616959694350.9920161.03844
82832383.758545629570830.8928820.974047
83940362.59250389452760.978591.01657
849895609516039330901.019841.03989
859895609625249194141.046891.02809
869312059114499042301.007981.02168
87877236.258840288879240.9956120.992317
888729058807898718021.010310.991049
89922102.59182868575451.070831.00416
90877236.258915968453531.05470.983894
91791931.258253928350480.9884360.959461
92733136.257780698260520.9419130.94225
93796276.258105338170570.9920160.98241
94647831.257230088097470.8928820.896022
957827607859848031800.978590.995898
96854562.58124187966141.019841.05187
97877236.258262917892831.046891.06166
98827626.257859477797221.007981.05303
99764926.257658627692370.9956120.998779
100809778.757663707585501.010311.05664
101827626.258016357486101.070831.03242
1028141107782957379291.05471.04602
103679126.257186577270650.9884360.944993
104616481.256745967161970.9419130.913853
105661278.756989427045680.9920160.946114
1065263506183716925570.8928820.851188
107665678.756656196801820.978591.00009
108715302.56801136668821.019841.05174
1097557556832636526621.046891.1061
110688283.756437016386031.007981.06926
111625157.56223456250880.9956121.00452
112661278.756176946113911.010311.07056
113679126.256404355980731.070831.06041
114643431.256199205877681.05471.03793
115508502.5NANA0.988436NA
116449707.5NANA0.941913NA
117503676.25NANA0.992016NA
118355231.25NANA0.892882NA
119517178.75NANA0.97859NA
120616481.25NANA1.01984NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1165010 & NA & NA & 1.04689 & NA \tabularnewline
2 & 1160665 & NA & NA & 1.00798 & NA \tabularnewline
3 & 1156265 & NA & NA & 0.995612 & NA \tabularnewline
4 & 1147162.5 & NA & NA & 1.01031 & NA \tabularnewline
5 & 1237238.75 & NA & NA & 1.07083 & NA \tabularnewline
6 & 1232481.25 & NA & NA & 1.0547 & NA \tabularnewline
7 & 1165010 & 1144410 & 1157800 & 0.988436 & 1.018 \tabularnewline
8 & 1120157.5 & 1089650 & 1156850 & 0.941913 & 1.02799 \tabularnewline
9 & 1124488.75 & 1146680 & 1155910 & 0.992016 & 0.980646 \tabularnewline
10 & 1124488.75 & 1030590 & 1154230 & 0.892882 & 1.09112 \tabularnewline
11 & 1129328.75 & 1128410 & 1153100 & 0.97859 & 1.00081 \tabularnewline
12 & 1138005 & 1176940 & 1154040 & 1.01984 & 0.96692 \tabularnewline
13 & 1151507.5 & 1211890 & 1157610 & 1.04689 & 0.950173 \tabularnewline
14 & 1151507.5 & 1171390 & 1162110 & 1.00798 & 0.983026 \tabularnewline
15 & 1142831.25 & 1161680 & 1166800 & 0.995612 & 0.983778 \tabularnewline
16 & 1120157.5 & 1182800 & 1170740 & 1.01031 & 0.947035 \tabularnewline
17 & 1237238.75 & 1256670 & 1173550 & 1.07083 & 0.984538 \tabularnewline
18 & 1255086.25 & 1241300 & 1176920 & 1.0547 & 1.01111 \tabularnewline
19 & 1228136.25 & 1166470 & 1180110 & 0.988436 & 1.05287 \tabularnewline
20 & 1165010 & 1113510 & 1182180 & 0.941913 & 1.04625 \tabularnewline
21 & 1192015 & 1174410 & 1183860 & 0.992016 & 1.01499 \tabularnewline
22 & 1151507.5 & 1058720 & 1185730 & 0.892882 & 1.08764 \tabularnewline
23 & 1169781.25 & 1161070 & 1186470 & 0.97859 & 1.0075 \tabularnewline
24 & 1178512.5 & 1210590 & 1187040 & 1.01984 & 0.973504 \tabularnewline
25 & 1187615 & 1243870 & 1188160 & 1.04689 & 0.954772 \tabularnewline
26 & 1165010 & 1199350 & 1189850 & 1.00798 & 0.971368 \tabularnewline
27 & 1169781.25 & 1187990 & 1193220 & 0.995612 & 0.984674 \tabularnewline
28 & 1138005 & 1209320 & 1196980 & 1.01031 & 0.941031 \tabularnewline
29 & 1237238.75 & 1286580 & 1201480 & 1.07083 & 0.961651 \tabularnewline
30 & 1268588.75 & 1272940 & 1206920 & 1.0547 & 0.996583 \tabularnewline
31 & 1241638.75 & 1197980 & 1211990 & 0.988436 & 1.03644 \tabularnewline
32 & 1192015 & 1145490 & 1216130 & 0.941913 & 1.04062 \tabularnewline
33 & 1245983.75 & 1211440 & 1221190 & 0.992016 & 1.02851 \tabularnewline
34 & 1187615 & 1097750 & 1229440 & 0.892882 & 1.08187 \tabularnewline
35 & 1241638.75 & 1211570 & 1238080 & 0.97859 & 1.02482 \tabularnewline
36 & 1237238.75 & 1268560 & 1243880 & 1.01984 & 0.975309 \tabularnewline
37 & 1250755 & 1304160 & 1245750 & 1.04689 & 0.959049 \tabularnewline
38 & 1201131.25 & 1256260 & 1246310 & 1.00798 & 0.956116 \tabularnewline
39 & 1255086.25 & 1241780 & 1247250 & 0.995612 & 1.01072 \tabularnewline
40 & 1250755 & 1260490 & 1247630 & 1.01031 & 0.992275 \tabularnewline
41 & 1331715 & 1335800 & 1247450 & 1.07083 & 0.996938 \tabularnewline
42 & 1313441.25 & 1315880 & 1247630 & 1.0547 & 0.99815 \tabularnewline
43 & 1241638.75 & 1234120 & 1248560 & 0.988436 & 1.0061 \tabularnewline
44 & 1205462.5 & 1177450 & 1250060 & 0.941913 & 1.02379 \tabularnewline
45 & 1255086.25 & 1240640 & 1250630 & 0.992016 & 1.01164 \tabularnewline
46 & 1187615 & 1116650 & 1250610 & 0.892882 & 1.06355 \tabularnewline
47 & 1237238.75 & 1223270 & 1250030 & 0.97859 & 1.01142 \tabularnewline
48 & 1245983.75 & 1271970 & 1247220 & 1.01984 & 0.979571 \tabularnewline
49 & 1264257.5 & 1302570 & 1244230 & 1.04689 & 0.970588 \tabularnewline
50 & 1223805 & 1250960 & 1241050 & 1.00798 & 0.978291 \tabularnewline
51 & 1245983.75 & 1231710 & 1237140 & 0.995612 & 1.01159 \tabularnewline
52 & 1259486.25 & 1242710 & 1230030 & 1.01031 & 1.0135 \tabularnewline
53 & 1309110 & 1306920 & 1220470 & 1.07083 & 1.00168 \tabularnewline
54 & 1268588.75 & 1279520 & 1213160 & 1.0547 & 0.991455 \tabularnewline
55 & 1214633.75 & 1194130 & 1208100 & 0.988436 & 1.01717 \tabularnewline
56 & 1156265 & 1133320 & 1203220 & 0.941913 & 1.02024 \tabularnewline
57 & 1210288.75 & 1187110 & 1196660 & 0.992016 & 1.01953 \tabularnewline
58 & 1061788.75 & 1061300 & 1188620 & 0.892882 & 1.00046 \tabularnewline
59 & 1133660 & 1154010 & 1179260 & 0.97859 & 0.982364 \tabularnewline
60 & 1174112.5 & 1192150 & 1168960 & 1.01984 & 0.984869 \tabularnewline
61 & 1214633.75 & 1212590 & 1158280 & 1.04689 & 1.00169 \tabularnewline
62 & 1156265 & 1156940 & 1147780 & 1.00798 & 0.999417 \tabularnewline
63 & 1156265 & 1131900 & 1136890 & 0.995612 & 1.02152 \tabularnewline
64 & 1156265 & 1137230 & 1125630 & 1.01031 & 1.01673 \tabularnewline
65 & 1187615 & 1194310 & 1115310 & 1.07083 & 0.994396 \tabularnewline
66 & 1142831.25 & 1166430 & 1105930 & 1.0547 & 0.979767 \tabularnewline
67 & 1084036.25 & 1082960 & 1095630 & 0.988436 & 1.00099 \tabularnewline
68 & 1034838.75 & 1021400 & 1084390 & 0.941913 & 1.01316 \tabularnewline
69 & 1070533.75 & 1065110 & 1073680 & 0.992016 & 1.00509 \tabularnewline
70 & 931205 & 948779 & 1062600 & 0.892882 & 0.981477 \tabularnewline
71 & 1016578.75 & 1029030 & 1051540 & 0.97859 & 0.987903 \tabularnewline
72 & 1066188.75 & 1062260 & 1041600 & 1.01984 & 1.0037 \tabularnewline
73 & 1075305 & 1080430 & 1032040 & 1.04689 & 0.99526 \tabularnewline
74 & 1025681.25 & 1030640 & 1022480 & 1.00798 & 0.995188 \tabularnewline
75 & 1030012.5 & 1010330 & 1014790 & 0.995612 & 1.01948 \tabularnewline
76 & 1016578.75 & 1018060 & 1007670 & 1.01031 & 0.998543 \tabularnewline
77 & 1061788.75 & 1071240 & 1000380 & 1.07083 & 0.991179 \tabularnewline
78 & 1030012.5 & 1048390 & 994012 & 1.0547 & 0.982474 \tabularnewline
79 & 967381.25 & 975830 & 987247 & 0.988436 & 0.991342 \tabularnewline
80 & 922102.5 & 922827 & 979737 & 0.941913 & 0.999215 \tabularnewline
81 & 998662.5 & 961695 & 969435 & 0.992016 & 1.03844 \tabularnewline
82 & 832383.75 & 854562 & 957083 & 0.892882 & 0.974047 \tabularnewline
83 & 940362.5 & 925038 & 945276 & 0.97859 & 1.01657 \tabularnewline
84 & 989560 & 951603 & 933090 & 1.01984 & 1.03989 \tabularnewline
85 & 989560 & 962524 & 919414 & 1.04689 & 1.02809 \tabularnewline
86 & 931205 & 911449 & 904230 & 1.00798 & 1.02168 \tabularnewline
87 & 877236.25 & 884028 & 887924 & 0.995612 & 0.992317 \tabularnewline
88 & 872905 & 880789 & 871802 & 1.01031 & 0.991049 \tabularnewline
89 & 922102.5 & 918286 & 857545 & 1.07083 & 1.00416 \tabularnewline
90 & 877236.25 & 891596 & 845353 & 1.0547 & 0.983894 \tabularnewline
91 & 791931.25 & 825392 & 835048 & 0.988436 & 0.959461 \tabularnewline
92 & 733136.25 & 778069 & 826052 & 0.941913 & 0.94225 \tabularnewline
93 & 796276.25 & 810533 & 817057 & 0.992016 & 0.98241 \tabularnewline
94 & 647831.25 & 723008 & 809747 & 0.892882 & 0.896022 \tabularnewline
95 & 782760 & 785984 & 803180 & 0.97859 & 0.995898 \tabularnewline
96 & 854562.5 & 812418 & 796614 & 1.01984 & 1.05187 \tabularnewline
97 & 877236.25 & 826291 & 789283 & 1.04689 & 1.06166 \tabularnewline
98 & 827626.25 & 785947 & 779722 & 1.00798 & 1.05303 \tabularnewline
99 & 764926.25 & 765862 & 769237 & 0.995612 & 0.998779 \tabularnewline
100 & 809778.75 & 766370 & 758550 & 1.01031 & 1.05664 \tabularnewline
101 & 827626.25 & 801635 & 748610 & 1.07083 & 1.03242 \tabularnewline
102 & 814110 & 778295 & 737929 & 1.0547 & 1.04602 \tabularnewline
103 & 679126.25 & 718657 & 727065 & 0.988436 & 0.944993 \tabularnewline
104 & 616481.25 & 674596 & 716197 & 0.941913 & 0.913853 \tabularnewline
105 & 661278.75 & 698942 & 704568 & 0.992016 & 0.946114 \tabularnewline
106 & 526350 & 618371 & 692557 & 0.892882 & 0.851188 \tabularnewline
107 & 665678.75 & 665619 & 680182 & 0.97859 & 1.00009 \tabularnewline
108 & 715302.5 & 680113 & 666882 & 1.01984 & 1.05174 \tabularnewline
109 & 755755 & 683263 & 652662 & 1.04689 & 1.1061 \tabularnewline
110 & 688283.75 & 643701 & 638603 & 1.00798 & 1.06926 \tabularnewline
111 & 625157.5 & 622345 & 625088 & 0.995612 & 1.00452 \tabularnewline
112 & 661278.75 & 617694 & 611391 & 1.01031 & 1.07056 \tabularnewline
113 & 679126.25 & 640435 & 598073 & 1.07083 & 1.06041 \tabularnewline
114 & 643431.25 & 619920 & 587768 & 1.0547 & 1.03793 \tabularnewline
115 & 508502.5 & NA & NA & 0.988436 & NA \tabularnewline
116 & 449707.5 & NA & NA & 0.941913 & NA \tabularnewline
117 & 503676.25 & NA & NA & 0.992016 & NA \tabularnewline
118 & 355231.25 & NA & NA & 0.892882 & NA \tabularnewline
119 & 517178.75 & NA & NA & 0.97859 & NA \tabularnewline
120 & 616481.25 & NA & NA & 1.01984 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211292&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]1165010[/C][C]NA[/C][C]NA[/C][C]1.04689[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1160665[/C][C]NA[/C][C]NA[/C][C]1.00798[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1156265[/C][C]NA[/C][C]NA[/C][C]0.995612[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1147162.5[/C][C]NA[/C][C]NA[/C][C]1.01031[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1237238.75[/C][C]NA[/C][C]NA[/C][C]1.07083[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1232481.25[/C][C]NA[/C][C]NA[/C][C]1.0547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1165010[/C][C]1144410[/C][C]1157800[/C][C]0.988436[/C][C]1.018[/C][/ROW]
[ROW][C]8[/C][C]1120157.5[/C][C]1089650[/C][C]1156850[/C][C]0.941913[/C][C]1.02799[/C][/ROW]
[ROW][C]9[/C][C]1124488.75[/C][C]1146680[/C][C]1155910[/C][C]0.992016[/C][C]0.980646[/C][/ROW]
[ROW][C]10[/C][C]1124488.75[/C][C]1030590[/C][C]1154230[/C][C]0.892882[/C][C]1.09112[/C][/ROW]
[ROW][C]11[/C][C]1129328.75[/C][C]1128410[/C][C]1153100[/C][C]0.97859[/C][C]1.00081[/C][/ROW]
[ROW][C]12[/C][C]1138005[/C][C]1176940[/C][C]1154040[/C][C]1.01984[/C][C]0.96692[/C][/ROW]
[ROW][C]13[/C][C]1151507.5[/C][C]1211890[/C][C]1157610[/C][C]1.04689[/C][C]0.950173[/C][/ROW]
[ROW][C]14[/C][C]1151507.5[/C][C]1171390[/C][C]1162110[/C][C]1.00798[/C][C]0.983026[/C][/ROW]
[ROW][C]15[/C][C]1142831.25[/C][C]1161680[/C][C]1166800[/C][C]0.995612[/C][C]0.983778[/C][/ROW]
[ROW][C]16[/C][C]1120157.5[/C][C]1182800[/C][C]1170740[/C][C]1.01031[/C][C]0.947035[/C][/ROW]
[ROW][C]17[/C][C]1237238.75[/C][C]1256670[/C][C]1173550[/C][C]1.07083[/C][C]0.984538[/C][/ROW]
[ROW][C]18[/C][C]1255086.25[/C][C]1241300[/C][C]1176920[/C][C]1.0547[/C][C]1.01111[/C][/ROW]
[ROW][C]19[/C][C]1228136.25[/C][C]1166470[/C][C]1180110[/C][C]0.988436[/C][C]1.05287[/C][/ROW]
[ROW][C]20[/C][C]1165010[/C][C]1113510[/C][C]1182180[/C][C]0.941913[/C][C]1.04625[/C][/ROW]
[ROW][C]21[/C][C]1192015[/C][C]1174410[/C][C]1183860[/C][C]0.992016[/C][C]1.01499[/C][/ROW]
[ROW][C]22[/C][C]1151507.5[/C][C]1058720[/C][C]1185730[/C][C]0.892882[/C][C]1.08764[/C][/ROW]
[ROW][C]23[/C][C]1169781.25[/C][C]1161070[/C][C]1186470[/C][C]0.97859[/C][C]1.0075[/C][/ROW]
[ROW][C]24[/C][C]1178512.5[/C][C]1210590[/C][C]1187040[/C][C]1.01984[/C][C]0.973504[/C][/ROW]
[ROW][C]25[/C][C]1187615[/C][C]1243870[/C][C]1188160[/C][C]1.04689[/C][C]0.954772[/C][/ROW]
[ROW][C]26[/C][C]1165010[/C][C]1199350[/C][C]1189850[/C][C]1.00798[/C][C]0.971368[/C][/ROW]
[ROW][C]27[/C][C]1169781.25[/C][C]1187990[/C][C]1193220[/C][C]0.995612[/C][C]0.984674[/C][/ROW]
[ROW][C]28[/C][C]1138005[/C][C]1209320[/C][C]1196980[/C][C]1.01031[/C][C]0.941031[/C][/ROW]
[ROW][C]29[/C][C]1237238.75[/C][C]1286580[/C][C]1201480[/C][C]1.07083[/C][C]0.961651[/C][/ROW]
[ROW][C]30[/C][C]1268588.75[/C][C]1272940[/C][C]1206920[/C][C]1.0547[/C][C]0.996583[/C][/ROW]
[ROW][C]31[/C][C]1241638.75[/C][C]1197980[/C][C]1211990[/C][C]0.988436[/C][C]1.03644[/C][/ROW]
[ROW][C]32[/C][C]1192015[/C][C]1145490[/C][C]1216130[/C][C]0.941913[/C][C]1.04062[/C][/ROW]
[ROW][C]33[/C][C]1245983.75[/C][C]1211440[/C][C]1221190[/C][C]0.992016[/C][C]1.02851[/C][/ROW]
[ROW][C]34[/C][C]1187615[/C][C]1097750[/C][C]1229440[/C][C]0.892882[/C][C]1.08187[/C][/ROW]
[ROW][C]35[/C][C]1241638.75[/C][C]1211570[/C][C]1238080[/C][C]0.97859[/C][C]1.02482[/C][/ROW]
[ROW][C]36[/C][C]1237238.75[/C][C]1268560[/C][C]1243880[/C][C]1.01984[/C][C]0.975309[/C][/ROW]
[ROW][C]37[/C][C]1250755[/C][C]1304160[/C][C]1245750[/C][C]1.04689[/C][C]0.959049[/C][/ROW]
[ROW][C]38[/C][C]1201131.25[/C][C]1256260[/C][C]1246310[/C][C]1.00798[/C][C]0.956116[/C][/ROW]
[ROW][C]39[/C][C]1255086.25[/C][C]1241780[/C][C]1247250[/C][C]0.995612[/C][C]1.01072[/C][/ROW]
[ROW][C]40[/C][C]1250755[/C][C]1260490[/C][C]1247630[/C][C]1.01031[/C][C]0.992275[/C][/ROW]
[ROW][C]41[/C][C]1331715[/C][C]1335800[/C][C]1247450[/C][C]1.07083[/C][C]0.996938[/C][/ROW]
[ROW][C]42[/C][C]1313441.25[/C][C]1315880[/C][C]1247630[/C][C]1.0547[/C][C]0.99815[/C][/ROW]
[ROW][C]43[/C][C]1241638.75[/C][C]1234120[/C][C]1248560[/C][C]0.988436[/C][C]1.0061[/C][/ROW]
[ROW][C]44[/C][C]1205462.5[/C][C]1177450[/C][C]1250060[/C][C]0.941913[/C][C]1.02379[/C][/ROW]
[ROW][C]45[/C][C]1255086.25[/C][C]1240640[/C][C]1250630[/C][C]0.992016[/C][C]1.01164[/C][/ROW]
[ROW][C]46[/C][C]1187615[/C][C]1116650[/C][C]1250610[/C][C]0.892882[/C][C]1.06355[/C][/ROW]
[ROW][C]47[/C][C]1237238.75[/C][C]1223270[/C][C]1250030[/C][C]0.97859[/C][C]1.01142[/C][/ROW]
[ROW][C]48[/C][C]1245983.75[/C][C]1271970[/C][C]1247220[/C][C]1.01984[/C][C]0.979571[/C][/ROW]
[ROW][C]49[/C][C]1264257.5[/C][C]1302570[/C][C]1244230[/C][C]1.04689[/C][C]0.970588[/C][/ROW]
[ROW][C]50[/C][C]1223805[/C][C]1250960[/C][C]1241050[/C][C]1.00798[/C][C]0.978291[/C][/ROW]
[ROW][C]51[/C][C]1245983.75[/C][C]1231710[/C][C]1237140[/C][C]0.995612[/C][C]1.01159[/C][/ROW]
[ROW][C]52[/C][C]1259486.25[/C][C]1242710[/C][C]1230030[/C][C]1.01031[/C][C]1.0135[/C][/ROW]
[ROW][C]53[/C][C]1309110[/C][C]1306920[/C][C]1220470[/C][C]1.07083[/C][C]1.00168[/C][/ROW]
[ROW][C]54[/C][C]1268588.75[/C][C]1279520[/C][C]1213160[/C][C]1.0547[/C][C]0.991455[/C][/ROW]
[ROW][C]55[/C][C]1214633.75[/C][C]1194130[/C][C]1208100[/C][C]0.988436[/C][C]1.01717[/C][/ROW]
[ROW][C]56[/C][C]1156265[/C][C]1133320[/C][C]1203220[/C][C]0.941913[/C][C]1.02024[/C][/ROW]
[ROW][C]57[/C][C]1210288.75[/C][C]1187110[/C][C]1196660[/C][C]0.992016[/C][C]1.01953[/C][/ROW]
[ROW][C]58[/C][C]1061788.75[/C][C]1061300[/C][C]1188620[/C][C]0.892882[/C][C]1.00046[/C][/ROW]
[ROW][C]59[/C][C]1133660[/C][C]1154010[/C][C]1179260[/C][C]0.97859[/C][C]0.982364[/C][/ROW]
[ROW][C]60[/C][C]1174112.5[/C][C]1192150[/C][C]1168960[/C][C]1.01984[/C][C]0.984869[/C][/ROW]
[ROW][C]61[/C][C]1214633.75[/C][C]1212590[/C][C]1158280[/C][C]1.04689[/C][C]1.00169[/C][/ROW]
[ROW][C]62[/C][C]1156265[/C][C]1156940[/C][C]1147780[/C][C]1.00798[/C][C]0.999417[/C][/ROW]
[ROW][C]63[/C][C]1156265[/C][C]1131900[/C][C]1136890[/C][C]0.995612[/C][C]1.02152[/C][/ROW]
[ROW][C]64[/C][C]1156265[/C][C]1137230[/C][C]1125630[/C][C]1.01031[/C][C]1.01673[/C][/ROW]
[ROW][C]65[/C][C]1187615[/C][C]1194310[/C][C]1115310[/C][C]1.07083[/C][C]0.994396[/C][/ROW]
[ROW][C]66[/C][C]1142831.25[/C][C]1166430[/C][C]1105930[/C][C]1.0547[/C][C]0.979767[/C][/ROW]
[ROW][C]67[/C][C]1084036.25[/C][C]1082960[/C][C]1095630[/C][C]0.988436[/C][C]1.00099[/C][/ROW]
[ROW][C]68[/C][C]1034838.75[/C][C]1021400[/C][C]1084390[/C][C]0.941913[/C][C]1.01316[/C][/ROW]
[ROW][C]69[/C][C]1070533.75[/C][C]1065110[/C][C]1073680[/C][C]0.992016[/C][C]1.00509[/C][/ROW]
[ROW][C]70[/C][C]931205[/C][C]948779[/C][C]1062600[/C][C]0.892882[/C][C]0.981477[/C][/ROW]
[ROW][C]71[/C][C]1016578.75[/C][C]1029030[/C][C]1051540[/C][C]0.97859[/C][C]0.987903[/C][/ROW]
[ROW][C]72[/C][C]1066188.75[/C][C]1062260[/C][C]1041600[/C][C]1.01984[/C][C]1.0037[/C][/ROW]
[ROW][C]73[/C][C]1075305[/C][C]1080430[/C][C]1032040[/C][C]1.04689[/C][C]0.99526[/C][/ROW]
[ROW][C]74[/C][C]1025681.25[/C][C]1030640[/C][C]1022480[/C][C]1.00798[/C][C]0.995188[/C][/ROW]
[ROW][C]75[/C][C]1030012.5[/C][C]1010330[/C][C]1014790[/C][C]0.995612[/C][C]1.01948[/C][/ROW]
[ROW][C]76[/C][C]1016578.75[/C][C]1018060[/C][C]1007670[/C][C]1.01031[/C][C]0.998543[/C][/ROW]
[ROW][C]77[/C][C]1061788.75[/C][C]1071240[/C][C]1000380[/C][C]1.07083[/C][C]0.991179[/C][/ROW]
[ROW][C]78[/C][C]1030012.5[/C][C]1048390[/C][C]994012[/C][C]1.0547[/C][C]0.982474[/C][/ROW]
[ROW][C]79[/C][C]967381.25[/C][C]975830[/C][C]987247[/C][C]0.988436[/C][C]0.991342[/C][/ROW]
[ROW][C]80[/C][C]922102.5[/C][C]922827[/C][C]979737[/C][C]0.941913[/C][C]0.999215[/C][/ROW]
[ROW][C]81[/C][C]998662.5[/C][C]961695[/C][C]969435[/C][C]0.992016[/C][C]1.03844[/C][/ROW]
[ROW][C]82[/C][C]832383.75[/C][C]854562[/C][C]957083[/C][C]0.892882[/C][C]0.974047[/C][/ROW]
[ROW][C]83[/C][C]940362.5[/C][C]925038[/C][C]945276[/C][C]0.97859[/C][C]1.01657[/C][/ROW]
[ROW][C]84[/C][C]989560[/C][C]951603[/C][C]933090[/C][C]1.01984[/C][C]1.03989[/C][/ROW]
[ROW][C]85[/C][C]989560[/C][C]962524[/C][C]919414[/C][C]1.04689[/C][C]1.02809[/C][/ROW]
[ROW][C]86[/C][C]931205[/C][C]911449[/C][C]904230[/C][C]1.00798[/C][C]1.02168[/C][/ROW]
[ROW][C]87[/C][C]877236.25[/C][C]884028[/C][C]887924[/C][C]0.995612[/C][C]0.992317[/C][/ROW]
[ROW][C]88[/C][C]872905[/C][C]880789[/C][C]871802[/C][C]1.01031[/C][C]0.991049[/C][/ROW]
[ROW][C]89[/C][C]922102.5[/C][C]918286[/C][C]857545[/C][C]1.07083[/C][C]1.00416[/C][/ROW]
[ROW][C]90[/C][C]877236.25[/C][C]891596[/C][C]845353[/C][C]1.0547[/C][C]0.983894[/C][/ROW]
[ROW][C]91[/C][C]791931.25[/C][C]825392[/C][C]835048[/C][C]0.988436[/C][C]0.959461[/C][/ROW]
[ROW][C]92[/C][C]733136.25[/C][C]778069[/C][C]826052[/C][C]0.941913[/C][C]0.94225[/C][/ROW]
[ROW][C]93[/C][C]796276.25[/C][C]810533[/C][C]817057[/C][C]0.992016[/C][C]0.98241[/C][/ROW]
[ROW][C]94[/C][C]647831.25[/C][C]723008[/C][C]809747[/C][C]0.892882[/C][C]0.896022[/C][/ROW]
[ROW][C]95[/C][C]782760[/C][C]785984[/C][C]803180[/C][C]0.97859[/C][C]0.995898[/C][/ROW]
[ROW][C]96[/C][C]854562.5[/C][C]812418[/C][C]796614[/C][C]1.01984[/C][C]1.05187[/C][/ROW]
[ROW][C]97[/C][C]877236.25[/C][C]826291[/C][C]789283[/C][C]1.04689[/C][C]1.06166[/C][/ROW]
[ROW][C]98[/C][C]827626.25[/C][C]785947[/C][C]779722[/C][C]1.00798[/C][C]1.05303[/C][/ROW]
[ROW][C]99[/C][C]764926.25[/C][C]765862[/C][C]769237[/C][C]0.995612[/C][C]0.998779[/C][/ROW]
[ROW][C]100[/C][C]809778.75[/C][C]766370[/C][C]758550[/C][C]1.01031[/C][C]1.05664[/C][/ROW]
[ROW][C]101[/C][C]827626.25[/C][C]801635[/C][C]748610[/C][C]1.07083[/C][C]1.03242[/C][/ROW]
[ROW][C]102[/C][C]814110[/C][C]778295[/C][C]737929[/C][C]1.0547[/C][C]1.04602[/C][/ROW]
[ROW][C]103[/C][C]679126.25[/C][C]718657[/C][C]727065[/C][C]0.988436[/C][C]0.944993[/C][/ROW]
[ROW][C]104[/C][C]616481.25[/C][C]674596[/C][C]716197[/C][C]0.941913[/C][C]0.913853[/C][/ROW]
[ROW][C]105[/C][C]661278.75[/C][C]698942[/C][C]704568[/C][C]0.992016[/C][C]0.946114[/C][/ROW]
[ROW][C]106[/C][C]526350[/C][C]618371[/C][C]692557[/C][C]0.892882[/C][C]0.851188[/C][/ROW]
[ROW][C]107[/C][C]665678.75[/C][C]665619[/C][C]680182[/C][C]0.97859[/C][C]1.00009[/C][/ROW]
[ROW][C]108[/C][C]715302.5[/C][C]680113[/C][C]666882[/C][C]1.01984[/C][C]1.05174[/C][/ROW]
[ROW][C]109[/C][C]755755[/C][C]683263[/C][C]652662[/C][C]1.04689[/C][C]1.1061[/C][/ROW]
[ROW][C]110[/C][C]688283.75[/C][C]643701[/C][C]638603[/C][C]1.00798[/C][C]1.06926[/C][/ROW]
[ROW][C]111[/C][C]625157.5[/C][C]622345[/C][C]625088[/C][C]0.995612[/C][C]1.00452[/C][/ROW]
[ROW][C]112[/C][C]661278.75[/C][C]617694[/C][C]611391[/C][C]1.01031[/C][C]1.07056[/C][/ROW]
[ROW][C]113[/C][C]679126.25[/C][C]640435[/C][C]598073[/C][C]1.07083[/C][C]1.06041[/C][/ROW]
[ROW][C]114[/C][C]643431.25[/C][C]619920[/C][C]587768[/C][C]1.0547[/C][C]1.03793[/C][/ROW]
[ROW][C]115[/C][C]508502.5[/C][C]NA[/C][C]NA[/C][C]0.988436[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]449707.5[/C][C]NA[/C][C]NA[/C][C]0.941913[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]503676.25[/C][C]NA[/C][C]NA[/C][C]0.992016[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]355231.25[/C][C]NA[/C][C]NA[/C][C]0.892882[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]517178.75[/C][C]NA[/C][C]NA[/C][C]0.97859[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]616481.25[/C][C]NA[/C][C]NA[/C][C]1.01984[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211292&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211292&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
11165010NANA1.04689NA
21160665NANA1.00798NA
31156265NANA0.995612NA
41147162.5NANA1.01031NA
51237238.75NANA1.07083NA
61232481.25NANA1.0547NA
71165010114441011578000.9884361.018
81120157.5108965011568500.9419131.02799
91124488.75114668011559100.9920160.980646
101124488.75103059011542300.8928821.09112
111129328.75112841011531000.978591.00081
121138005117694011540401.019840.96692
131151507.5121189011576101.046890.950173
141151507.5117139011621101.007980.983026
151142831.25116168011668000.9956120.983778
161120157.5118280011707401.010310.947035
171237238.75125667011735501.070830.984538
181255086.25124130011769201.05471.01111
191228136.25116647011801100.9884361.05287
201165010111351011821800.9419131.04625
211192015117441011838600.9920161.01499
221151507.5105872011857300.8928821.08764
231169781.25116107011864700.978591.0075
241178512.5121059011870401.019840.973504
251187615124387011881601.046890.954772
261165010119935011898501.007980.971368
271169781.25118799011932200.9956120.984674
281138005120932011969801.010310.941031
291237238.75128658012014801.070830.961651
301268588.75127294012069201.05470.996583
311241638.75119798012119900.9884361.03644
321192015114549012161300.9419131.04062
331245983.75121144012211900.9920161.02851
341187615109775012294400.8928821.08187
351241638.75121157012380800.978591.02482
361237238.75126856012438801.019840.975309
371250755130416012457501.046890.959049
381201131.25125626012463101.007980.956116
391255086.25124178012472500.9956121.01072
401250755126049012476301.010310.992275
411331715133580012474501.070830.996938
421313441.25131588012476301.05470.99815
431241638.75123412012485600.9884361.0061
441205462.5117745012500600.9419131.02379
451255086.25124064012506300.9920161.01164
461187615111665012506100.8928821.06355
471237238.75122327012500300.978591.01142
481245983.75127197012472201.019840.979571
491264257.5130257012442301.046890.970588
501223805125096012410501.007980.978291
511245983.75123171012371400.9956121.01159
521259486.25124271012300301.010311.0135
531309110130692012204701.070831.00168
541268588.75127952012131601.05470.991455
551214633.75119413012081000.9884361.01717
561156265113332012032200.9419131.02024
571210288.75118711011966600.9920161.01953
581061788.75106130011886200.8928821.00046
591133660115401011792600.978590.982364
601174112.5119215011689601.019840.984869
611214633.75121259011582801.046891.00169
621156265115694011477801.007980.999417
631156265113190011368900.9956121.02152
641156265113723011256301.010311.01673
651187615119431011153101.070830.994396
661142831.25116643011059301.05470.979767
671084036.25108296010956300.9884361.00099
681034838.75102140010843900.9419131.01316
691070533.75106511010736800.9920161.00509
7093120594877910626000.8928820.981477
711016578.75102903010515400.978590.987903
721066188.75106226010416001.019841.0037
731075305108043010320401.046890.99526
741025681.25103064010224801.007980.995188
751030012.5101033010147900.9956121.01948
761016578.75101806010076701.010310.998543
771061788.75107124010003801.070830.991179
781030012.510483909940121.05470.982474
79967381.259758309872470.9884360.991342
80922102.59228279797370.9419130.999215
81998662.59616959694350.9920161.03844
82832383.758545629570830.8928820.974047
83940362.59250389452760.978591.01657
849895609516039330901.019841.03989
859895609625249194141.046891.02809
869312059114499042301.007981.02168
87877236.258840288879240.9956120.992317
888729058807898718021.010310.991049
89922102.59182868575451.070831.00416
90877236.258915968453531.05470.983894
91791931.258253928350480.9884360.959461
92733136.257780698260520.9419130.94225
93796276.258105338170570.9920160.98241
94647831.257230088097470.8928820.896022
957827607859848031800.978590.995898
96854562.58124187966141.019841.05187
97877236.258262917892831.046891.06166
98827626.257859477797221.007981.05303
99764926.257658627692370.9956120.998779
100809778.757663707585501.010311.05664
101827626.258016357486101.070831.03242
1028141107782957379291.05471.04602
103679126.257186577270650.9884360.944993
104616481.256745967161970.9419130.913853
105661278.756989427045680.9920160.946114
1065263506183716925570.8928820.851188
107665678.756656196801820.978591.00009
108715302.56801136668821.019841.05174
1097557556832636526621.046891.1061
110688283.756437016386031.007981.06926
111625157.56223456250880.9956121.00452
112661278.756176946113911.010311.07056
113679126.256404355980731.070831.06041
114643431.256199205877681.05471.03793
115508502.5NANA0.988436NA
116449707.5NANA0.941913NA
117503676.25NANA0.992016NA
118355231.25NANA0.892882NA
119517178.75NANA0.97859NA
120616481.25NANA1.01984NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')