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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 14 Jul 2015 16:01:19 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Jul/14/t1436886855ek7bito5pr99lb7.htm/, Retrieved Wed, 11 Feb 2026 16:36:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279571, Retrieved Wed, 11 Feb 2026 16:36:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact443

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Harrell-Davis Quantiles] [Decielen passagie...] [2015-02-12 18:08:19] [09638efce71c89926709518d27310a61]
- R  D  [Harrell-Davis Quantiles] [REEKS A: oefening 5] [2015-07-10 22:23:41] [6b666be92a2717ec998be34b30849c21]
- RMP     [Classical Decomposition] [REEKS A: oefening 11] [2015-07-13 17:50:05] [6b666be92a2717ec998be34b30849c21]
- R  D        [Classical Decomposition] [REEKS B: Oefening 12] [2015-07-14 15:01:19] [b81b5adcb18a6dd731e9cb79a54989dd] [Current]
- RM            [Exponential Smoothing] [REEKS B: oefening 13] [2015-07-14 15:15:41] [6b666be92a2717ec998be34b30849c21]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1263600
1216800
1287000
1029600
1333800
1310400
1404000
1450800
1614600
1404000
1333800
1661400
1404000
1053000
1240200
936000
1310400
1076400
1427400
1287000
1357200
1521000
1497600
1778400
1287000
1076400
1193400
865800
1240200
959400
1357200
1287000
1146600
1638000
1474200
1684800
1263600
1170000
1053000
865800
1146600
1029600
1404000
1357200
1170000
1567800
1450800
1872000
1497600
912600
912600
912600
1076400
1076400
1450800
1333800
1193400
1497600
1380600
1989000
1567800
912600
959400
795600
1099800
1263600
1591200
1567800
1263600
1474200
1310400
1872000
1427400
1146600
1029600
772200
1146600
1380600
1614600
1521000
1123200
1614600
1263600
1942200
1614600
1170000
1076400
725400
1146600
1099800
1661400
1661400
1263600
1638000
1216800
1895400
1614600
1193400
912600
631800
1240200
1193400
1567800
1801800
1333800
1497600
1123200
1942200

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279571&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279571&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279571&T=0

As an alternative you can also use a QR Code:  
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'Herman Ole Andreas Wold' @ wold.wessa.net






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11263600NANA159077NA
21216800NANA-223854NA
31287000NANA-256395NA
41029600NANA-489420NA
51333800NANA-126110NA
61310400NANA-167426NA
7140400015455301365000180527-141527
8145080014872701364020123246-36471.1
9161460013138401355250-41407300757
10140400015898901349400240490-185890
1113338001409150134452064624.2-75349.2
12166140018704501333800536646-209046
13140400014841001325020159077-80102.3
14105300010953201319180-223854-42321.1
15124020010452301301620-256395194970
169360008063551295780-489420129645
17131040011813601307480-126110129035
18107640011517501319180-167426-75349.2
19142740014997001319180180527-72302.3
20128700014385201315280123246-151521
21135720012728901314300-4140784307
22152100015499101309420240490-28914.8
2314976001368200130358064624.2129401
24177840018324201295780536646-54021.1
25128700014470501287980159077-160052
26107640010612001285050-22385415203.9
27119340010198801276280-256395173520
288658007829551272380-48942082844.5
29124020011501601276280-12611090035.2
3095940011039701271400-167426-144574
31135720014470501266520180527-89852.3
32128700013927001269450123246-105696
33114660012260901267500-41407-79493
34163800015021401261650240490135860
3514742001322370125775064624.2151826
36168480017934201256780536646-108621
37126360014207301261650159077-157127
38117000010426701266520-223854127329
39105300010140301270420-25639538969.5
408658007790551268480-48942086744.5
41114660011384601264580-1261108135.16
42102960011039701271400-167426-74374.2
43140400014694801288950180527-65477.3
44135720014112201287980123246-54021.1
45117000012299901271400-41407-59993
4615678001507990126750024049059810.2
4714508001331150126652064624.2119651
4818720001802200126555053664669803.9
4914976001428530126945015907769072.7
5091260010465701270420-223854-133971
5191260010140301270420-256395-101430
529126007790551268480-489420133545
53107640011365101262620-126110-60114.8
54107640010971501264580-167426-20749.2
55145080014529001272380180527-2102.34
56133380013985501275300123246-64746.1
57119340012358401277250-41407-42443
58149760015148101274320240490-17214.8
5913806001335050127042064624.245550.8
60198900018158501279200536646173154
61156780014519301292850159077115873
6291260010846001308450-223854-171996
6395940010647301321120-256395-105330
647956008336551323080-489420-38055.5
65109980011930601319180-126110-93264.8
66126360011439501311380-167426119651
67159120014811801300650180527110023
68156780014278001304550123246140004
69126360012758201317220-41407-12218
70147420015596601319180240490-85464.8
7113104001384770132015064624.2-74374.2
721872000186362013269805366468378.91
73142740014919001332820159077-64502.3
74114660011080001331850-22385438603.9
75102960010676601324050-256395-38055.5
767722008346301324050-489420-62430.5
77114660012018401327950-126110-55239.8
78138060011615001328920-167426219101
7916146001520180133965018052794422.7
8015210001471670134842012324649328.9
81112320013099401351350-41407-186743
8216146001591840135135024049022760.2
8312636001414020134940064624.2-150424
8419422001874350133770053664667853.9
85161460014870301327950159077127573
86117000011119001335750-22385458103.9
87107640010910601347450-256395-14655.5
887254008648551354280-489420-139455
89114660012271901353300-126110-80589.8
90109980011819701349400-167426-82174.2
91166140015279801347450180527133423
92166140014716701348420123246189729
93126360013011701342580-41407-37568
9416380001572340133185024049065660.2
9512168001396470133185064624.2-179674
9618954001876300133965053664619103.9
97161460014987301339650159077115873
98119340011177501341600-22385475653.9
9991260010939801350380-256395-181380
1006318008580301347450-489420-226230
101124020012115901337700-12611028610.2
102119340011683201335750-16742625075.8
1031567800NANA180527NA
1041801800NANA123246NA
1051333800NANA-41407NA
1061497600NANA240490NA
1071123200NANA64624.2NA
1081942200NANA536646NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1263600 & NA & NA & 159077 & NA \tabularnewline
2 & 1216800 & NA & NA & -223854 & NA \tabularnewline
3 & 1287000 & NA & NA & -256395 & NA \tabularnewline
4 & 1029600 & NA & NA & -489420 & NA \tabularnewline
5 & 1333800 & NA & NA & -126110 & NA \tabularnewline
6 & 1310400 & NA & NA & -167426 & NA \tabularnewline
7 & 1404000 & 1545530 & 1365000 & 180527 & -141527 \tabularnewline
8 & 1450800 & 1487270 & 1364020 & 123246 & -36471.1 \tabularnewline
9 & 1614600 & 1313840 & 1355250 & -41407 & 300757 \tabularnewline
10 & 1404000 & 1589890 & 1349400 & 240490 & -185890 \tabularnewline
11 & 1333800 & 1409150 & 1344520 & 64624.2 & -75349.2 \tabularnewline
12 & 1661400 & 1870450 & 1333800 & 536646 & -209046 \tabularnewline
13 & 1404000 & 1484100 & 1325020 & 159077 & -80102.3 \tabularnewline
14 & 1053000 & 1095320 & 1319180 & -223854 & -42321.1 \tabularnewline
15 & 1240200 & 1045230 & 1301620 & -256395 & 194970 \tabularnewline
16 & 936000 & 806355 & 1295780 & -489420 & 129645 \tabularnewline
17 & 1310400 & 1181360 & 1307480 & -126110 & 129035 \tabularnewline
18 & 1076400 & 1151750 & 1319180 & -167426 & -75349.2 \tabularnewline
19 & 1427400 & 1499700 & 1319180 & 180527 & -72302.3 \tabularnewline
20 & 1287000 & 1438520 & 1315280 & 123246 & -151521 \tabularnewline
21 & 1357200 & 1272890 & 1314300 & -41407 & 84307 \tabularnewline
22 & 1521000 & 1549910 & 1309420 & 240490 & -28914.8 \tabularnewline
23 & 1497600 & 1368200 & 1303580 & 64624.2 & 129401 \tabularnewline
24 & 1778400 & 1832420 & 1295780 & 536646 & -54021.1 \tabularnewline
25 & 1287000 & 1447050 & 1287980 & 159077 & -160052 \tabularnewline
26 & 1076400 & 1061200 & 1285050 & -223854 & 15203.9 \tabularnewline
27 & 1193400 & 1019880 & 1276280 & -256395 & 173520 \tabularnewline
28 & 865800 & 782955 & 1272380 & -489420 & 82844.5 \tabularnewline
29 & 1240200 & 1150160 & 1276280 & -126110 & 90035.2 \tabularnewline
30 & 959400 & 1103970 & 1271400 & -167426 & -144574 \tabularnewline
31 & 1357200 & 1447050 & 1266520 & 180527 & -89852.3 \tabularnewline
32 & 1287000 & 1392700 & 1269450 & 123246 & -105696 \tabularnewline
33 & 1146600 & 1226090 & 1267500 & -41407 & -79493 \tabularnewline
34 & 1638000 & 1502140 & 1261650 & 240490 & 135860 \tabularnewline
35 & 1474200 & 1322370 & 1257750 & 64624.2 & 151826 \tabularnewline
36 & 1684800 & 1793420 & 1256780 & 536646 & -108621 \tabularnewline
37 & 1263600 & 1420730 & 1261650 & 159077 & -157127 \tabularnewline
38 & 1170000 & 1042670 & 1266520 & -223854 & 127329 \tabularnewline
39 & 1053000 & 1014030 & 1270420 & -256395 & 38969.5 \tabularnewline
40 & 865800 & 779055 & 1268480 & -489420 & 86744.5 \tabularnewline
41 & 1146600 & 1138460 & 1264580 & -126110 & 8135.16 \tabularnewline
42 & 1029600 & 1103970 & 1271400 & -167426 & -74374.2 \tabularnewline
43 & 1404000 & 1469480 & 1288950 & 180527 & -65477.3 \tabularnewline
44 & 1357200 & 1411220 & 1287980 & 123246 & -54021.1 \tabularnewline
45 & 1170000 & 1229990 & 1271400 & -41407 & -59993 \tabularnewline
46 & 1567800 & 1507990 & 1267500 & 240490 & 59810.2 \tabularnewline
47 & 1450800 & 1331150 & 1266520 & 64624.2 & 119651 \tabularnewline
48 & 1872000 & 1802200 & 1265550 & 536646 & 69803.9 \tabularnewline
49 & 1497600 & 1428530 & 1269450 & 159077 & 69072.7 \tabularnewline
50 & 912600 & 1046570 & 1270420 & -223854 & -133971 \tabularnewline
51 & 912600 & 1014030 & 1270420 & -256395 & -101430 \tabularnewline
52 & 912600 & 779055 & 1268480 & -489420 & 133545 \tabularnewline
53 & 1076400 & 1136510 & 1262620 & -126110 & -60114.8 \tabularnewline
54 & 1076400 & 1097150 & 1264580 & -167426 & -20749.2 \tabularnewline
55 & 1450800 & 1452900 & 1272380 & 180527 & -2102.34 \tabularnewline
56 & 1333800 & 1398550 & 1275300 & 123246 & -64746.1 \tabularnewline
57 & 1193400 & 1235840 & 1277250 & -41407 & -42443 \tabularnewline
58 & 1497600 & 1514810 & 1274320 & 240490 & -17214.8 \tabularnewline
59 & 1380600 & 1335050 & 1270420 & 64624.2 & 45550.8 \tabularnewline
60 & 1989000 & 1815850 & 1279200 & 536646 & 173154 \tabularnewline
61 & 1567800 & 1451930 & 1292850 & 159077 & 115873 \tabularnewline
62 & 912600 & 1084600 & 1308450 & -223854 & -171996 \tabularnewline
63 & 959400 & 1064730 & 1321120 & -256395 & -105330 \tabularnewline
64 & 795600 & 833655 & 1323080 & -489420 & -38055.5 \tabularnewline
65 & 1099800 & 1193060 & 1319180 & -126110 & -93264.8 \tabularnewline
66 & 1263600 & 1143950 & 1311380 & -167426 & 119651 \tabularnewline
67 & 1591200 & 1481180 & 1300650 & 180527 & 110023 \tabularnewline
68 & 1567800 & 1427800 & 1304550 & 123246 & 140004 \tabularnewline
69 & 1263600 & 1275820 & 1317220 & -41407 & -12218 \tabularnewline
70 & 1474200 & 1559660 & 1319180 & 240490 & -85464.8 \tabularnewline
71 & 1310400 & 1384770 & 1320150 & 64624.2 & -74374.2 \tabularnewline
72 & 1872000 & 1863620 & 1326980 & 536646 & 8378.91 \tabularnewline
73 & 1427400 & 1491900 & 1332820 & 159077 & -64502.3 \tabularnewline
74 & 1146600 & 1108000 & 1331850 & -223854 & 38603.9 \tabularnewline
75 & 1029600 & 1067660 & 1324050 & -256395 & -38055.5 \tabularnewline
76 & 772200 & 834630 & 1324050 & -489420 & -62430.5 \tabularnewline
77 & 1146600 & 1201840 & 1327950 & -126110 & -55239.8 \tabularnewline
78 & 1380600 & 1161500 & 1328920 & -167426 & 219101 \tabularnewline
79 & 1614600 & 1520180 & 1339650 & 180527 & 94422.7 \tabularnewline
80 & 1521000 & 1471670 & 1348420 & 123246 & 49328.9 \tabularnewline
81 & 1123200 & 1309940 & 1351350 & -41407 & -186743 \tabularnewline
82 & 1614600 & 1591840 & 1351350 & 240490 & 22760.2 \tabularnewline
83 & 1263600 & 1414020 & 1349400 & 64624.2 & -150424 \tabularnewline
84 & 1942200 & 1874350 & 1337700 & 536646 & 67853.9 \tabularnewline
85 & 1614600 & 1487030 & 1327950 & 159077 & 127573 \tabularnewline
86 & 1170000 & 1111900 & 1335750 & -223854 & 58103.9 \tabularnewline
87 & 1076400 & 1091060 & 1347450 & -256395 & -14655.5 \tabularnewline
88 & 725400 & 864855 & 1354280 & -489420 & -139455 \tabularnewline
89 & 1146600 & 1227190 & 1353300 & -126110 & -80589.8 \tabularnewline
90 & 1099800 & 1181970 & 1349400 & -167426 & -82174.2 \tabularnewline
91 & 1661400 & 1527980 & 1347450 & 180527 & 133423 \tabularnewline
92 & 1661400 & 1471670 & 1348420 & 123246 & 189729 \tabularnewline
93 & 1263600 & 1301170 & 1342580 & -41407 & -37568 \tabularnewline
94 & 1638000 & 1572340 & 1331850 & 240490 & 65660.2 \tabularnewline
95 & 1216800 & 1396470 & 1331850 & 64624.2 & -179674 \tabularnewline
96 & 1895400 & 1876300 & 1339650 & 536646 & 19103.9 \tabularnewline
97 & 1614600 & 1498730 & 1339650 & 159077 & 115873 \tabularnewline
98 & 1193400 & 1117750 & 1341600 & -223854 & 75653.9 \tabularnewline
99 & 912600 & 1093980 & 1350380 & -256395 & -181380 \tabularnewline
100 & 631800 & 858030 & 1347450 & -489420 & -226230 \tabularnewline
101 & 1240200 & 1211590 & 1337700 & -126110 & 28610.2 \tabularnewline
102 & 1193400 & 1168320 & 1335750 & -167426 & 25075.8 \tabularnewline
103 & 1567800 & NA & NA & 180527 & NA \tabularnewline
104 & 1801800 & NA & NA & 123246 & NA \tabularnewline
105 & 1333800 & NA & NA & -41407 & NA \tabularnewline
106 & 1497600 & NA & NA & 240490 & NA \tabularnewline
107 & 1123200 & NA & NA & 64624.2 & NA \tabularnewline
108 & 1942200 & NA & NA & 536646 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279571&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]1263600[/C][C]NA[/C][C]NA[/C][C]159077[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1216800[/C][C]NA[/C][C]NA[/C][C]-223854[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1287000[/C][C]NA[/C][C]NA[/C][C]-256395[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1029600[/C][C]NA[/C][C]NA[/C][C]-489420[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1333800[/C][C]NA[/C][C]NA[/C][C]-126110[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1310400[/C][C]NA[/C][C]NA[/C][C]-167426[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1404000[/C][C]1545530[/C][C]1365000[/C][C]180527[/C][C]-141527[/C][/ROW]
[ROW][C]8[/C][C]1450800[/C][C]1487270[/C][C]1364020[/C][C]123246[/C][C]-36471.1[/C][/ROW]
[ROW][C]9[/C][C]1614600[/C][C]1313840[/C][C]1355250[/C][C]-41407[/C][C]300757[/C][/ROW]
[ROW][C]10[/C][C]1404000[/C][C]1589890[/C][C]1349400[/C][C]240490[/C][C]-185890[/C][/ROW]
[ROW][C]11[/C][C]1333800[/C][C]1409150[/C][C]1344520[/C][C]64624.2[/C][C]-75349.2[/C][/ROW]
[ROW][C]12[/C][C]1661400[/C][C]1870450[/C][C]1333800[/C][C]536646[/C][C]-209046[/C][/ROW]
[ROW][C]13[/C][C]1404000[/C][C]1484100[/C][C]1325020[/C][C]159077[/C][C]-80102.3[/C][/ROW]
[ROW][C]14[/C][C]1053000[/C][C]1095320[/C][C]1319180[/C][C]-223854[/C][C]-42321.1[/C][/ROW]
[ROW][C]15[/C][C]1240200[/C][C]1045230[/C][C]1301620[/C][C]-256395[/C][C]194970[/C][/ROW]
[ROW][C]16[/C][C]936000[/C][C]806355[/C][C]1295780[/C][C]-489420[/C][C]129645[/C][/ROW]
[ROW][C]17[/C][C]1310400[/C][C]1181360[/C][C]1307480[/C][C]-126110[/C][C]129035[/C][/ROW]
[ROW][C]18[/C][C]1076400[/C][C]1151750[/C][C]1319180[/C][C]-167426[/C][C]-75349.2[/C][/ROW]
[ROW][C]19[/C][C]1427400[/C][C]1499700[/C][C]1319180[/C][C]180527[/C][C]-72302.3[/C][/ROW]
[ROW][C]20[/C][C]1287000[/C][C]1438520[/C][C]1315280[/C][C]123246[/C][C]-151521[/C][/ROW]
[ROW][C]21[/C][C]1357200[/C][C]1272890[/C][C]1314300[/C][C]-41407[/C][C]84307[/C][/ROW]
[ROW][C]22[/C][C]1521000[/C][C]1549910[/C][C]1309420[/C][C]240490[/C][C]-28914.8[/C][/ROW]
[ROW][C]23[/C][C]1497600[/C][C]1368200[/C][C]1303580[/C][C]64624.2[/C][C]129401[/C][/ROW]
[ROW][C]24[/C][C]1778400[/C][C]1832420[/C][C]1295780[/C][C]536646[/C][C]-54021.1[/C][/ROW]
[ROW][C]25[/C][C]1287000[/C][C]1447050[/C][C]1287980[/C][C]159077[/C][C]-160052[/C][/ROW]
[ROW][C]26[/C][C]1076400[/C][C]1061200[/C][C]1285050[/C][C]-223854[/C][C]15203.9[/C][/ROW]
[ROW][C]27[/C][C]1193400[/C][C]1019880[/C][C]1276280[/C][C]-256395[/C][C]173520[/C][/ROW]
[ROW][C]28[/C][C]865800[/C][C]782955[/C][C]1272380[/C][C]-489420[/C][C]82844.5[/C][/ROW]
[ROW][C]29[/C][C]1240200[/C][C]1150160[/C][C]1276280[/C][C]-126110[/C][C]90035.2[/C][/ROW]
[ROW][C]30[/C][C]959400[/C][C]1103970[/C][C]1271400[/C][C]-167426[/C][C]-144574[/C][/ROW]
[ROW][C]31[/C][C]1357200[/C][C]1447050[/C][C]1266520[/C][C]180527[/C][C]-89852.3[/C][/ROW]
[ROW][C]32[/C][C]1287000[/C][C]1392700[/C][C]1269450[/C][C]123246[/C][C]-105696[/C][/ROW]
[ROW][C]33[/C][C]1146600[/C][C]1226090[/C][C]1267500[/C][C]-41407[/C][C]-79493[/C][/ROW]
[ROW][C]34[/C][C]1638000[/C][C]1502140[/C][C]1261650[/C][C]240490[/C][C]135860[/C][/ROW]
[ROW][C]35[/C][C]1474200[/C][C]1322370[/C][C]1257750[/C][C]64624.2[/C][C]151826[/C][/ROW]
[ROW][C]36[/C][C]1684800[/C][C]1793420[/C][C]1256780[/C][C]536646[/C][C]-108621[/C][/ROW]
[ROW][C]37[/C][C]1263600[/C][C]1420730[/C][C]1261650[/C][C]159077[/C][C]-157127[/C][/ROW]
[ROW][C]38[/C][C]1170000[/C][C]1042670[/C][C]1266520[/C][C]-223854[/C][C]127329[/C][/ROW]
[ROW][C]39[/C][C]1053000[/C][C]1014030[/C][C]1270420[/C][C]-256395[/C][C]38969.5[/C][/ROW]
[ROW][C]40[/C][C]865800[/C][C]779055[/C][C]1268480[/C][C]-489420[/C][C]86744.5[/C][/ROW]
[ROW][C]41[/C][C]1146600[/C][C]1138460[/C][C]1264580[/C][C]-126110[/C][C]8135.16[/C][/ROW]
[ROW][C]42[/C][C]1029600[/C][C]1103970[/C][C]1271400[/C][C]-167426[/C][C]-74374.2[/C][/ROW]
[ROW][C]43[/C][C]1404000[/C][C]1469480[/C][C]1288950[/C][C]180527[/C][C]-65477.3[/C][/ROW]
[ROW][C]44[/C][C]1357200[/C][C]1411220[/C][C]1287980[/C][C]123246[/C][C]-54021.1[/C][/ROW]
[ROW][C]45[/C][C]1170000[/C][C]1229990[/C][C]1271400[/C][C]-41407[/C][C]-59993[/C][/ROW]
[ROW][C]46[/C][C]1567800[/C][C]1507990[/C][C]1267500[/C][C]240490[/C][C]59810.2[/C][/ROW]
[ROW][C]47[/C][C]1450800[/C][C]1331150[/C][C]1266520[/C][C]64624.2[/C][C]119651[/C][/ROW]
[ROW][C]48[/C][C]1872000[/C][C]1802200[/C][C]1265550[/C][C]536646[/C][C]69803.9[/C][/ROW]
[ROW][C]49[/C][C]1497600[/C][C]1428530[/C][C]1269450[/C][C]159077[/C][C]69072.7[/C][/ROW]
[ROW][C]50[/C][C]912600[/C][C]1046570[/C][C]1270420[/C][C]-223854[/C][C]-133971[/C][/ROW]
[ROW][C]51[/C][C]912600[/C][C]1014030[/C][C]1270420[/C][C]-256395[/C][C]-101430[/C][/ROW]
[ROW][C]52[/C][C]912600[/C][C]779055[/C][C]1268480[/C][C]-489420[/C][C]133545[/C][/ROW]
[ROW][C]53[/C][C]1076400[/C][C]1136510[/C][C]1262620[/C][C]-126110[/C][C]-60114.8[/C][/ROW]
[ROW][C]54[/C][C]1076400[/C][C]1097150[/C][C]1264580[/C][C]-167426[/C][C]-20749.2[/C][/ROW]
[ROW][C]55[/C][C]1450800[/C][C]1452900[/C][C]1272380[/C][C]180527[/C][C]-2102.34[/C][/ROW]
[ROW][C]56[/C][C]1333800[/C][C]1398550[/C][C]1275300[/C][C]123246[/C][C]-64746.1[/C][/ROW]
[ROW][C]57[/C][C]1193400[/C][C]1235840[/C][C]1277250[/C][C]-41407[/C][C]-42443[/C][/ROW]
[ROW][C]58[/C][C]1497600[/C][C]1514810[/C][C]1274320[/C][C]240490[/C][C]-17214.8[/C][/ROW]
[ROW][C]59[/C][C]1380600[/C][C]1335050[/C][C]1270420[/C][C]64624.2[/C][C]45550.8[/C][/ROW]
[ROW][C]60[/C][C]1989000[/C][C]1815850[/C][C]1279200[/C][C]536646[/C][C]173154[/C][/ROW]
[ROW][C]61[/C][C]1567800[/C][C]1451930[/C][C]1292850[/C][C]159077[/C][C]115873[/C][/ROW]
[ROW][C]62[/C][C]912600[/C][C]1084600[/C][C]1308450[/C][C]-223854[/C][C]-171996[/C][/ROW]
[ROW][C]63[/C][C]959400[/C][C]1064730[/C][C]1321120[/C][C]-256395[/C][C]-105330[/C][/ROW]
[ROW][C]64[/C][C]795600[/C][C]833655[/C][C]1323080[/C][C]-489420[/C][C]-38055.5[/C][/ROW]
[ROW][C]65[/C][C]1099800[/C][C]1193060[/C][C]1319180[/C][C]-126110[/C][C]-93264.8[/C][/ROW]
[ROW][C]66[/C][C]1263600[/C][C]1143950[/C][C]1311380[/C][C]-167426[/C][C]119651[/C][/ROW]
[ROW][C]67[/C][C]1591200[/C][C]1481180[/C][C]1300650[/C][C]180527[/C][C]110023[/C][/ROW]
[ROW][C]68[/C][C]1567800[/C][C]1427800[/C][C]1304550[/C][C]123246[/C][C]140004[/C][/ROW]
[ROW][C]69[/C][C]1263600[/C][C]1275820[/C][C]1317220[/C][C]-41407[/C][C]-12218[/C][/ROW]
[ROW][C]70[/C][C]1474200[/C][C]1559660[/C][C]1319180[/C][C]240490[/C][C]-85464.8[/C][/ROW]
[ROW][C]71[/C][C]1310400[/C][C]1384770[/C][C]1320150[/C][C]64624.2[/C][C]-74374.2[/C][/ROW]
[ROW][C]72[/C][C]1872000[/C][C]1863620[/C][C]1326980[/C][C]536646[/C][C]8378.91[/C][/ROW]
[ROW][C]73[/C][C]1427400[/C][C]1491900[/C][C]1332820[/C][C]159077[/C][C]-64502.3[/C][/ROW]
[ROW][C]74[/C][C]1146600[/C][C]1108000[/C][C]1331850[/C][C]-223854[/C][C]38603.9[/C][/ROW]
[ROW][C]75[/C][C]1029600[/C][C]1067660[/C][C]1324050[/C][C]-256395[/C][C]-38055.5[/C][/ROW]
[ROW][C]76[/C][C]772200[/C][C]834630[/C][C]1324050[/C][C]-489420[/C][C]-62430.5[/C][/ROW]
[ROW][C]77[/C][C]1146600[/C][C]1201840[/C][C]1327950[/C][C]-126110[/C][C]-55239.8[/C][/ROW]
[ROW][C]78[/C][C]1380600[/C][C]1161500[/C][C]1328920[/C][C]-167426[/C][C]219101[/C][/ROW]
[ROW][C]79[/C][C]1614600[/C][C]1520180[/C][C]1339650[/C][C]180527[/C][C]94422.7[/C][/ROW]
[ROW][C]80[/C][C]1521000[/C][C]1471670[/C][C]1348420[/C][C]123246[/C][C]49328.9[/C][/ROW]
[ROW][C]81[/C][C]1123200[/C][C]1309940[/C][C]1351350[/C][C]-41407[/C][C]-186743[/C][/ROW]
[ROW][C]82[/C][C]1614600[/C][C]1591840[/C][C]1351350[/C][C]240490[/C][C]22760.2[/C][/ROW]
[ROW][C]83[/C][C]1263600[/C][C]1414020[/C][C]1349400[/C][C]64624.2[/C][C]-150424[/C][/ROW]
[ROW][C]84[/C][C]1942200[/C][C]1874350[/C][C]1337700[/C][C]536646[/C][C]67853.9[/C][/ROW]
[ROW][C]85[/C][C]1614600[/C][C]1487030[/C][C]1327950[/C][C]159077[/C][C]127573[/C][/ROW]
[ROW][C]86[/C][C]1170000[/C][C]1111900[/C][C]1335750[/C][C]-223854[/C][C]58103.9[/C][/ROW]
[ROW][C]87[/C][C]1076400[/C][C]1091060[/C][C]1347450[/C][C]-256395[/C][C]-14655.5[/C][/ROW]
[ROW][C]88[/C][C]725400[/C][C]864855[/C][C]1354280[/C][C]-489420[/C][C]-139455[/C][/ROW]
[ROW][C]89[/C][C]1146600[/C][C]1227190[/C][C]1353300[/C][C]-126110[/C][C]-80589.8[/C][/ROW]
[ROW][C]90[/C][C]1099800[/C][C]1181970[/C][C]1349400[/C][C]-167426[/C][C]-82174.2[/C][/ROW]
[ROW][C]91[/C][C]1661400[/C][C]1527980[/C][C]1347450[/C][C]180527[/C][C]133423[/C][/ROW]
[ROW][C]92[/C][C]1661400[/C][C]1471670[/C][C]1348420[/C][C]123246[/C][C]189729[/C][/ROW]
[ROW][C]93[/C][C]1263600[/C][C]1301170[/C][C]1342580[/C][C]-41407[/C][C]-37568[/C][/ROW]
[ROW][C]94[/C][C]1638000[/C][C]1572340[/C][C]1331850[/C][C]240490[/C][C]65660.2[/C][/ROW]
[ROW][C]95[/C][C]1216800[/C][C]1396470[/C][C]1331850[/C][C]64624.2[/C][C]-179674[/C][/ROW]
[ROW][C]96[/C][C]1895400[/C][C]1876300[/C][C]1339650[/C][C]536646[/C][C]19103.9[/C][/ROW]
[ROW][C]97[/C][C]1614600[/C][C]1498730[/C][C]1339650[/C][C]159077[/C][C]115873[/C][/ROW]
[ROW][C]98[/C][C]1193400[/C][C]1117750[/C][C]1341600[/C][C]-223854[/C][C]75653.9[/C][/ROW]
[ROW][C]99[/C][C]912600[/C][C]1093980[/C][C]1350380[/C][C]-256395[/C][C]-181380[/C][/ROW]
[ROW][C]100[/C][C]631800[/C][C]858030[/C][C]1347450[/C][C]-489420[/C][C]-226230[/C][/ROW]
[ROW][C]101[/C][C]1240200[/C][C]1211590[/C][C]1337700[/C][C]-126110[/C][C]28610.2[/C][/ROW]
[ROW][C]102[/C][C]1193400[/C][C]1168320[/C][C]1335750[/C][C]-167426[/C][C]25075.8[/C][/ROW]
[ROW][C]103[/C][C]1567800[/C][C]NA[/C][C]NA[/C][C]180527[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]1801800[/C][C]NA[/C][C]NA[/C][C]123246[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]1333800[/C][C]NA[/C][C]NA[/C][C]-41407[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]1497600[/C][C]NA[/C][C]NA[/C][C]240490[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]1123200[/C][C]NA[/C][C]NA[/C][C]64624.2[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]1942200[/C][C]NA[/C][C]NA[/C][C]536646[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279571&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279571&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11263600NANA159077NA
21216800NANA-223854NA
31287000NANA-256395NA
41029600NANA-489420NA
51333800NANA-126110NA
61310400NANA-167426NA
7140400015455301365000180527-141527
8145080014872701364020123246-36471.1
9161460013138401355250-41407300757
10140400015898901349400240490-185890
1113338001409150134452064624.2-75349.2
12166140018704501333800536646-209046
13140400014841001325020159077-80102.3
14105300010953201319180-223854-42321.1
15124020010452301301620-256395194970
169360008063551295780-489420129645
17131040011813601307480-126110129035
18107640011517501319180-167426-75349.2
19142740014997001319180180527-72302.3
20128700014385201315280123246-151521
21135720012728901314300-4140784307
22152100015499101309420240490-28914.8
2314976001368200130358064624.2129401
24177840018324201295780536646-54021.1
25128700014470501287980159077-160052
26107640010612001285050-22385415203.9
27119340010198801276280-256395173520
288658007829551272380-48942082844.5
29124020011501601276280-12611090035.2
3095940011039701271400-167426-144574
31135720014470501266520180527-89852.3
32128700013927001269450123246-105696
33114660012260901267500-41407-79493
34163800015021401261650240490135860
3514742001322370125775064624.2151826
36168480017934201256780536646-108621
37126360014207301261650159077-157127
38117000010426701266520-223854127329
39105300010140301270420-25639538969.5
408658007790551268480-48942086744.5
41114660011384601264580-1261108135.16
42102960011039701271400-167426-74374.2
43140400014694801288950180527-65477.3
44135720014112201287980123246-54021.1
45117000012299901271400-41407-59993
4615678001507990126750024049059810.2
4714508001331150126652064624.2119651
4818720001802200126555053664669803.9
4914976001428530126945015907769072.7
5091260010465701270420-223854-133971
5191260010140301270420-256395-101430
529126007790551268480-489420133545
53107640011365101262620-126110-60114.8
54107640010971501264580-167426-20749.2
55145080014529001272380180527-2102.34
56133380013985501275300123246-64746.1
57119340012358401277250-41407-42443
58149760015148101274320240490-17214.8
5913806001335050127042064624.245550.8
60198900018158501279200536646173154
61156780014519301292850159077115873
6291260010846001308450-223854-171996
6395940010647301321120-256395-105330
647956008336551323080-489420-38055.5
65109980011930601319180-126110-93264.8
66126360011439501311380-167426119651
67159120014811801300650180527110023
68156780014278001304550123246140004
69126360012758201317220-41407-12218
70147420015596601319180240490-85464.8
7113104001384770132015064624.2-74374.2
721872000186362013269805366468378.91
73142740014919001332820159077-64502.3
74114660011080001331850-22385438603.9
75102960010676601324050-256395-38055.5
767722008346301324050-489420-62430.5
77114660012018401327950-126110-55239.8
78138060011615001328920-167426219101
7916146001520180133965018052794422.7
8015210001471670134842012324649328.9
81112320013099401351350-41407-186743
8216146001591840135135024049022760.2
8312636001414020134940064624.2-150424
8419422001874350133770053664667853.9
85161460014870301327950159077127573
86117000011119001335750-22385458103.9
87107640010910601347450-256395-14655.5
887254008648551354280-489420-139455
89114660012271901353300-126110-80589.8
90109980011819701349400-167426-82174.2
91166140015279801347450180527133423
92166140014716701348420123246189729
93126360013011701342580-41407-37568
9416380001572340133185024049065660.2
9512168001396470133185064624.2-179674
9618954001876300133965053664619103.9
97161460014987301339650159077115873
98119340011177501341600-22385475653.9
9991260010939801350380-256395-181380
1006318008580301347450-489420-226230
101124020012115901337700-12611028610.2
102119340011683201335750-16742625075.8
1031567800NANA180527NA
1041801800NANA123246NA
1051333800NANA-41407NA
1061497600NANA240490NA
1071123200NANA64624.2NA
1081942200NANA536646NA


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')