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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 31 Jul 2014 16:08:38 +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/2014/Jul/31/t1406819372yna4f2j686gh300.htm/, Retrieved Mon, 13 May 2024 21:55:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235372, Retrieved Mon, 13 May 2024 21:55:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsDaemen Wout
Estimated Impact164
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [Tijdreeks 1 - Sta...] [2014-07-31 12:18:16] [db363657be53a1294332fdf107f4512c]
- RMP     [Classical Decomposition] [Tijdreeks 1 - Sta...] [2014-07-31 15:08:38] [a3f6f3ab25c27d7686091f6989fa462a] [Current]
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Dataseries X:
588264
577918
567562
546859
756344
745987
588264
483527
493873
493873
504229
526055
462824
399492
347630
347630
546859
567562
409838
231412
325803
325803
399492
442021
431664
325803
378790
357986
536412
493873
325803
200263
315447
347630
378790
420195
336150
263595
294755
305101
577918
577918
420195
399492
462824
431664
515709
620447
641250
493873
452367
409838
694135
714939
661953
714939
704481
620447
714939
819676
862205
735641
651596
714939
987746
1071790
1051088
1092483
1082137
977399
1155825
1198354
1260562
1071790
998102
1082137
1282389
1460814
1418286
1418286
1439089
1366423
1555307
1555307
1523124
1344597
1376780
1397583
1534503
1712929
1586355
1649698
1596712
1565653
1807421
1754435
1680746
1576009
1680746
1733732
1796963
1880998
1796963
1848826
1785585
1775239
2037699
2059525
1975491
1828123
1953664
2006549
2069882
2164273
2069882
2143570
2111388
1996193
2237951
2237951




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235372&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235372&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235372&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1588264NANA40765NA
2577918NANA-99901.2NA
3567562NANA-104463NA
4546859NANA-94344.1NA
5756344NANA76375.6NA
6745987NANA129122NA
758826458307356750315570.45190.65
8483527533778554842-21064.2-50250.6
9493873523533538244-14711-29659.6
10493873459357520779-61421.534516
1150422955896450374955215-54734.8
1252605556644348758678857-40387.9
1346282451348247271740765-50658
14399492354877454778-99901.244615.3
15347630332807437270-10446314823
16347630328920423264-94344.118709.8
1754685948827341189776375.658586.1
1856756253315440403212912234407.7
1940983841480339923215570.4-4964.6
20231412373799394863-21064.2-142387
21325803378380393091-14711-52577.4
22325803333400394821-61421.5-7596.71
2339949245003239481755215-50540.5
2444202147016939131278857-28147.8
25431664425505384740407656159.08
26325803280039379941-99901.245763.6
27378790273748378211-104463105042
28357986284345378689-94344.173640.9
2953641245511237873676375.681300.4
30493873506086376964129122-12213.5
3132580338764537207515570.4-61842.4
32200263344439365503-21064.2-144176
33315447344699359410-14711-29251.7
34347630292283353705-61421.555346.8
3537879040844635323155215-29655.6
3642019543731935846278857-17123.9
3733615040666236589740765-70511.7
38263595278230378131-99901.2-14634.7
39294755288110392573-1044636645.33
40305101307871402215-94344.1-2769.89
4157791848779741142176375.690121.1
4257791855459342547012912223325.4
4342019546209744652615570.4-41901.9
44399492447770468834-21064.2-48277.7
45462824470285484996-14711-7460.98
46431664434506495927-61421.5-2841.67
4751570956034950513455215-44639.6
486204475945425156857885725904.8
496412505722335314684076569017.4
50493873454783554685-99901.239089.7
51452367473434577897-104463-21067
52409838501488595832-94344.1-91650.1
5369413568837561199976375.65760.03
54714939757724628602129122-42785.3
5566195366168064611015570.4273.024
56714939644325665390-21064.270613.6
57704481669054683765-1471135427.5
58620447643357704778-61421.5-22909.7
5971493978494072972555215-70000.6
6081967683568475682778857-16008.2
618622058286757879104076533530.1
62735641719954819855-99901.215687.3
63651596746858851322-104463-95262.4
64714939787586881930-94344.1-72647.1
6598774699154991517376375.6-3803.05
6610717901078440949322129122-6654.39
67105108899726998169815570.453819.1
6810924839912391012300-21064.2101244
69108213710260401040750-1471156101.2
7097739910090601070480-61421.5-31664
71115582511532801098060552152548.8
7211983541205400112655078857-7050.33
731260562119882011580604076561740.5
74107179010870301186930-99901.2-15240.4
7599810211109201215380-104463-112815
76108213711521201246460-94344.1-69981
7712823891355690127932076375.6-73303.1
7814608141439960131083012912220857
7914182861352220133665015570.466067.8
80141828613378901358950-21064.280395.4
81143908913713901386100-1471167700
82136642313536001415020-61421.512822.7
831555307149389014386705521561421.8
841555307153854014596807885716770.3
85152312415179501477190407655171.67
86134459713939301493830-99901.2-49334.2
87137678014055801510040-104463-28799
88139758314305701524910-94344.1-32984
8915345031620090154372076375.6-85589.6
9017129291691640156252012912221287.8
9115863551592950157738015570.4-6598.85
92164969815725301593590-21064.277169.1
93159671216011901615900-14711-4477.56
94156565315811501642570-61421.5-15497.5
951807421172273016675105521584691.9
9617544351764310168545078857-9874.79
9716807461742000170123040765-61250
98157600916184001718300-99901.2-42393.1
99168074616300101734470-10446350739.2
100173373216567301751070-94344.177003.6
10117969631845780176940076375.6-48812.7
102188099819208301791710129122-39831.6
10317969631832270181670015570.4-35307.7
104184882618184201839490-21064.230404.1
105178558518466501861360-14711-61066.4
106177523918226801884100-61421.5-47440.8
1072037699196206019068405521575643.6
1082059525200887019300207885750652.9
10919754911993950195319040765-18463.8
110182812318769401976840-99901.2-48818.3
111195366418982402002700-10446355428.6
112200654919311402025480-94344.175412.9
11320698822119410204303076375.6-49524
114216427321879302058810129122-23658.1
1152069882NANA15570.4NA
1162143570NANA-21064.2NA
1172111388NANA-14711NA
1181996193NANA-61421.5NA
1192237951NANA55215NA
1202237951NANA78857NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 588264 & NA & NA & 40765 & NA \tabularnewline
2 & 577918 & NA & NA & -99901.2 & NA \tabularnewline
3 & 567562 & NA & NA & -104463 & NA \tabularnewline
4 & 546859 & NA & NA & -94344.1 & NA \tabularnewline
5 & 756344 & NA & NA & 76375.6 & NA \tabularnewline
6 & 745987 & NA & NA & 129122 & NA \tabularnewline
7 & 588264 & 583073 & 567503 & 15570.4 & 5190.65 \tabularnewline
8 & 483527 & 533778 & 554842 & -21064.2 & -50250.6 \tabularnewline
9 & 493873 & 523533 & 538244 & -14711 & -29659.6 \tabularnewline
10 & 493873 & 459357 & 520779 & -61421.5 & 34516 \tabularnewline
11 & 504229 & 558964 & 503749 & 55215 & -54734.8 \tabularnewline
12 & 526055 & 566443 & 487586 & 78857 & -40387.9 \tabularnewline
13 & 462824 & 513482 & 472717 & 40765 & -50658 \tabularnewline
14 & 399492 & 354877 & 454778 & -99901.2 & 44615.3 \tabularnewline
15 & 347630 & 332807 & 437270 & -104463 & 14823 \tabularnewline
16 & 347630 & 328920 & 423264 & -94344.1 & 18709.8 \tabularnewline
17 & 546859 & 488273 & 411897 & 76375.6 & 58586.1 \tabularnewline
18 & 567562 & 533154 & 404032 & 129122 & 34407.7 \tabularnewline
19 & 409838 & 414803 & 399232 & 15570.4 & -4964.6 \tabularnewline
20 & 231412 & 373799 & 394863 & -21064.2 & -142387 \tabularnewline
21 & 325803 & 378380 & 393091 & -14711 & -52577.4 \tabularnewline
22 & 325803 & 333400 & 394821 & -61421.5 & -7596.71 \tabularnewline
23 & 399492 & 450032 & 394817 & 55215 & -50540.5 \tabularnewline
24 & 442021 & 470169 & 391312 & 78857 & -28147.8 \tabularnewline
25 & 431664 & 425505 & 384740 & 40765 & 6159.08 \tabularnewline
26 & 325803 & 280039 & 379941 & -99901.2 & 45763.6 \tabularnewline
27 & 378790 & 273748 & 378211 & -104463 & 105042 \tabularnewline
28 & 357986 & 284345 & 378689 & -94344.1 & 73640.9 \tabularnewline
29 & 536412 & 455112 & 378736 & 76375.6 & 81300.4 \tabularnewline
30 & 493873 & 506086 & 376964 & 129122 & -12213.5 \tabularnewline
31 & 325803 & 387645 & 372075 & 15570.4 & -61842.4 \tabularnewline
32 & 200263 & 344439 & 365503 & -21064.2 & -144176 \tabularnewline
33 & 315447 & 344699 & 359410 & -14711 & -29251.7 \tabularnewline
34 & 347630 & 292283 & 353705 & -61421.5 & 55346.8 \tabularnewline
35 & 378790 & 408446 & 353231 & 55215 & -29655.6 \tabularnewline
36 & 420195 & 437319 & 358462 & 78857 & -17123.9 \tabularnewline
37 & 336150 & 406662 & 365897 & 40765 & -70511.7 \tabularnewline
38 & 263595 & 278230 & 378131 & -99901.2 & -14634.7 \tabularnewline
39 & 294755 & 288110 & 392573 & -104463 & 6645.33 \tabularnewline
40 & 305101 & 307871 & 402215 & -94344.1 & -2769.89 \tabularnewline
41 & 577918 & 487797 & 411421 & 76375.6 & 90121.1 \tabularnewline
42 & 577918 & 554593 & 425470 & 129122 & 23325.4 \tabularnewline
43 & 420195 & 462097 & 446526 & 15570.4 & -41901.9 \tabularnewline
44 & 399492 & 447770 & 468834 & -21064.2 & -48277.7 \tabularnewline
45 & 462824 & 470285 & 484996 & -14711 & -7460.98 \tabularnewline
46 & 431664 & 434506 & 495927 & -61421.5 & -2841.67 \tabularnewline
47 & 515709 & 560349 & 505134 & 55215 & -44639.6 \tabularnewline
48 & 620447 & 594542 & 515685 & 78857 & 25904.8 \tabularnewline
49 & 641250 & 572233 & 531468 & 40765 & 69017.4 \tabularnewline
50 & 493873 & 454783 & 554685 & -99901.2 & 39089.7 \tabularnewline
51 & 452367 & 473434 & 577897 & -104463 & -21067 \tabularnewline
52 & 409838 & 501488 & 595832 & -94344.1 & -91650.1 \tabularnewline
53 & 694135 & 688375 & 611999 & 76375.6 & 5760.03 \tabularnewline
54 & 714939 & 757724 & 628602 & 129122 & -42785.3 \tabularnewline
55 & 661953 & 661680 & 646110 & 15570.4 & 273.024 \tabularnewline
56 & 714939 & 644325 & 665390 & -21064.2 & 70613.6 \tabularnewline
57 & 704481 & 669054 & 683765 & -14711 & 35427.5 \tabularnewline
58 & 620447 & 643357 & 704778 & -61421.5 & -22909.7 \tabularnewline
59 & 714939 & 784940 & 729725 & 55215 & -70000.6 \tabularnewline
60 & 819676 & 835684 & 756827 & 78857 & -16008.2 \tabularnewline
61 & 862205 & 828675 & 787910 & 40765 & 33530.1 \tabularnewline
62 & 735641 & 719954 & 819855 & -99901.2 & 15687.3 \tabularnewline
63 & 651596 & 746858 & 851322 & -104463 & -95262.4 \tabularnewline
64 & 714939 & 787586 & 881930 & -94344.1 & -72647.1 \tabularnewline
65 & 987746 & 991549 & 915173 & 76375.6 & -3803.05 \tabularnewline
66 & 1071790 & 1078440 & 949322 & 129122 & -6654.39 \tabularnewline
67 & 1051088 & 997269 & 981698 & 15570.4 & 53819.1 \tabularnewline
68 & 1092483 & 991239 & 1012300 & -21064.2 & 101244 \tabularnewline
69 & 1082137 & 1026040 & 1040750 & -14711 & 56101.2 \tabularnewline
70 & 977399 & 1009060 & 1070480 & -61421.5 & -31664 \tabularnewline
71 & 1155825 & 1153280 & 1098060 & 55215 & 2548.8 \tabularnewline
72 & 1198354 & 1205400 & 1126550 & 78857 & -7050.33 \tabularnewline
73 & 1260562 & 1198820 & 1158060 & 40765 & 61740.5 \tabularnewline
74 & 1071790 & 1087030 & 1186930 & -99901.2 & -15240.4 \tabularnewline
75 & 998102 & 1110920 & 1215380 & -104463 & -112815 \tabularnewline
76 & 1082137 & 1152120 & 1246460 & -94344.1 & -69981 \tabularnewline
77 & 1282389 & 1355690 & 1279320 & 76375.6 & -73303.1 \tabularnewline
78 & 1460814 & 1439960 & 1310830 & 129122 & 20857 \tabularnewline
79 & 1418286 & 1352220 & 1336650 & 15570.4 & 66067.8 \tabularnewline
80 & 1418286 & 1337890 & 1358950 & -21064.2 & 80395.4 \tabularnewline
81 & 1439089 & 1371390 & 1386100 & -14711 & 67700 \tabularnewline
82 & 1366423 & 1353600 & 1415020 & -61421.5 & 12822.7 \tabularnewline
83 & 1555307 & 1493890 & 1438670 & 55215 & 61421.8 \tabularnewline
84 & 1555307 & 1538540 & 1459680 & 78857 & 16770.3 \tabularnewline
85 & 1523124 & 1517950 & 1477190 & 40765 & 5171.67 \tabularnewline
86 & 1344597 & 1393930 & 1493830 & -99901.2 & -49334.2 \tabularnewline
87 & 1376780 & 1405580 & 1510040 & -104463 & -28799 \tabularnewline
88 & 1397583 & 1430570 & 1524910 & -94344.1 & -32984 \tabularnewline
89 & 1534503 & 1620090 & 1543720 & 76375.6 & -85589.6 \tabularnewline
90 & 1712929 & 1691640 & 1562520 & 129122 & 21287.8 \tabularnewline
91 & 1586355 & 1592950 & 1577380 & 15570.4 & -6598.85 \tabularnewline
92 & 1649698 & 1572530 & 1593590 & -21064.2 & 77169.1 \tabularnewline
93 & 1596712 & 1601190 & 1615900 & -14711 & -4477.56 \tabularnewline
94 & 1565653 & 1581150 & 1642570 & -61421.5 & -15497.5 \tabularnewline
95 & 1807421 & 1722730 & 1667510 & 55215 & 84691.9 \tabularnewline
96 & 1754435 & 1764310 & 1685450 & 78857 & -9874.79 \tabularnewline
97 & 1680746 & 1742000 & 1701230 & 40765 & -61250 \tabularnewline
98 & 1576009 & 1618400 & 1718300 & -99901.2 & -42393.1 \tabularnewline
99 & 1680746 & 1630010 & 1734470 & -104463 & 50739.2 \tabularnewline
100 & 1733732 & 1656730 & 1751070 & -94344.1 & 77003.6 \tabularnewline
101 & 1796963 & 1845780 & 1769400 & 76375.6 & -48812.7 \tabularnewline
102 & 1880998 & 1920830 & 1791710 & 129122 & -39831.6 \tabularnewline
103 & 1796963 & 1832270 & 1816700 & 15570.4 & -35307.7 \tabularnewline
104 & 1848826 & 1818420 & 1839490 & -21064.2 & 30404.1 \tabularnewline
105 & 1785585 & 1846650 & 1861360 & -14711 & -61066.4 \tabularnewline
106 & 1775239 & 1822680 & 1884100 & -61421.5 & -47440.8 \tabularnewline
107 & 2037699 & 1962060 & 1906840 & 55215 & 75643.6 \tabularnewline
108 & 2059525 & 2008870 & 1930020 & 78857 & 50652.9 \tabularnewline
109 & 1975491 & 1993950 & 1953190 & 40765 & -18463.8 \tabularnewline
110 & 1828123 & 1876940 & 1976840 & -99901.2 & -48818.3 \tabularnewline
111 & 1953664 & 1898240 & 2002700 & -104463 & 55428.6 \tabularnewline
112 & 2006549 & 1931140 & 2025480 & -94344.1 & 75412.9 \tabularnewline
113 & 2069882 & 2119410 & 2043030 & 76375.6 & -49524 \tabularnewline
114 & 2164273 & 2187930 & 2058810 & 129122 & -23658.1 \tabularnewline
115 & 2069882 & NA & NA & 15570.4 & NA \tabularnewline
116 & 2143570 & NA & NA & -21064.2 & NA \tabularnewline
117 & 2111388 & NA & NA & -14711 & NA \tabularnewline
118 & 1996193 & NA & NA & -61421.5 & NA \tabularnewline
119 & 2237951 & NA & NA & 55215 & NA \tabularnewline
120 & 2237951 & NA & NA & 78857 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235372&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]588264[/C][C]NA[/C][C]NA[/C][C]40765[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]577918[/C][C]NA[/C][C]NA[/C][C]-99901.2[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]567562[/C][C]NA[/C][C]NA[/C][C]-104463[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]546859[/C][C]NA[/C][C]NA[/C][C]-94344.1[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]756344[/C][C]NA[/C][C]NA[/C][C]76375.6[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]745987[/C][C]NA[/C][C]NA[/C][C]129122[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]588264[/C][C]583073[/C][C]567503[/C][C]15570.4[/C][C]5190.65[/C][/ROW]
[ROW][C]8[/C][C]483527[/C][C]533778[/C][C]554842[/C][C]-21064.2[/C][C]-50250.6[/C][/ROW]
[ROW][C]9[/C][C]493873[/C][C]523533[/C][C]538244[/C][C]-14711[/C][C]-29659.6[/C][/ROW]
[ROW][C]10[/C][C]493873[/C][C]459357[/C][C]520779[/C][C]-61421.5[/C][C]34516[/C][/ROW]
[ROW][C]11[/C][C]504229[/C][C]558964[/C][C]503749[/C][C]55215[/C][C]-54734.8[/C][/ROW]
[ROW][C]12[/C][C]526055[/C][C]566443[/C][C]487586[/C][C]78857[/C][C]-40387.9[/C][/ROW]
[ROW][C]13[/C][C]462824[/C][C]513482[/C][C]472717[/C][C]40765[/C][C]-50658[/C][/ROW]
[ROW][C]14[/C][C]399492[/C][C]354877[/C][C]454778[/C][C]-99901.2[/C][C]44615.3[/C][/ROW]
[ROW][C]15[/C][C]347630[/C][C]332807[/C][C]437270[/C][C]-104463[/C][C]14823[/C][/ROW]
[ROW][C]16[/C][C]347630[/C][C]328920[/C][C]423264[/C][C]-94344.1[/C][C]18709.8[/C][/ROW]
[ROW][C]17[/C][C]546859[/C][C]488273[/C][C]411897[/C][C]76375.6[/C][C]58586.1[/C][/ROW]
[ROW][C]18[/C][C]567562[/C][C]533154[/C][C]404032[/C][C]129122[/C][C]34407.7[/C][/ROW]
[ROW][C]19[/C][C]409838[/C][C]414803[/C][C]399232[/C][C]15570.4[/C][C]-4964.6[/C][/ROW]
[ROW][C]20[/C][C]231412[/C][C]373799[/C][C]394863[/C][C]-21064.2[/C][C]-142387[/C][/ROW]
[ROW][C]21[/C][C]325803[/C][C]378380[/C][C]393091[/C][C]-14711[/C][C]-52577.4[/C][/ROW]
[ROW][C]22[/C][C]325803[/C][C]333400[/C][C]394821[/C][C]-61421.5[/C][C]-7596.71[/C][/ROW]
[ROW][C]23[/C][C]399492[/C][C]450032[/C][C]394817[/C][C]55215[/C][C]-50540.5[/C][/ROW]
[ROW][C]24[/C][C]442021[/C][C]470169[/C][C]391312[/C][C]78857[/C][C]-28147.8[/C][/ROW]
[ROW][C]25[/C][C]431664[/C][C]425505[/C][C]384740[/C][C]40765[/C][C]6159.08[/C][/ROW]
[ROW][C]26[/C][C]325803[/C][C]280039[/C][C]379941[/C][C]-99901.2[/C][C]45763.6[/C][/ROW]
[ROW][C]27[/C][C]378790[/C][C]273748[/C][C]378211[/C][C]-104463[/C][C]105042[/C][/ROW]
[ROW][C]28[/C][C]357986[/C][C]284345[/C][C]378689[/C][C]-94344.1[/C][C]73640.9[/C][/ROW]
[ROW][C]29[/C][C]536412[/C][C]455112[/C][C]378736[/C][C]76375.6[/C][C]81300.4[/C][/ROW]
[ROW][C]30[/C][C]493873[/C][C]506086[/C][C]376964[/C][C]129122[/C][C]-12213.5[/C][/ROW]
[ROW][C]31[/C][C]325803[/C][C]387645[/C][C]372075[/C][C]15570.4[/C][C]-61842.4[/C][/ROW]
[ROW][C]32[/C][C]200263[/C][C]344439[/C][C]365503[/C][C]-21064.2[/C][C]-144176[/C][/ROW]
[ROW][C]33[/C][C]315447[/C][C]344699[/C][C]359410[/C][C]-14711[/C][C]-29251.7[/C][/ROW]
[ROW][C]34[/C][C]347630[/C][C]292283[/C][C]353705[/C][C]-61421.5[/C][C]55346.8[/C][/ROW]
[ROW][C]35[/C][C]378790[/C][C]408446[/C][C]353231[/C][C]55215[/C][C]-29655.6[/C][/ROW]
[ROW][C]36[/C][C]420195[/C][C]437319[/C][C]358462[/C][C]78857[/C][C]-17123.9[/C][/ROW]
[ROW][C]37[/C][C]336150[/C][C]406662[/C][C]365897[/C][C]40765[/C][C]-70511.7[/C][/ROW]
[ROW][C]38[/C][C]263595[/C][C]278230[/C][C]378131[/C][C]-99901.2[/C][C]-14634.7[/C][/ROW]
[ROW][C]39[/C][C]294755[/C][C]288110[/C][C]392573[/C][C]-104463[/C][C]6645.33[/C][/ROW]
[ROW][C]40[/C][C]305101[/C][C]307871[/C][C]402215[/C][C]-94344.1[/C][C]-2769.89[/C][/ROW]
[ROW][C]41[/C][C]577918[/C][C]487797[/C][C]411421[/C][C]76375.6[/C][C]90121.1[/C][/ROW]
[ROW][C]42[/C][C]577918[/C][C]554593[/C][C]425470[/C][C]129122[/C][C]23325.4[/C][/ROW]
[ROW][C]43[/C][C]420195[/C][C]462097[/C][C]446526[/C][C]15570.4[/C][C]-41901.9[/C][/ROW]
[ROW][C]44[/C][C]399492[/C][C]447770[/C][C]468834[/C][C]-21064.2[/C][C]-48277.7[/C][/ROW]
[ROW][C]45[/C][C]462824[/C][C]470285[/C][C]484996[/C][C]-14711[/C][C]-7460.98[/C][/ROW]
[ROW][C]46[/C][C]431664[/C][C]434506[/C][C]495927[/C][C]-61421.5[/C][C]-2841.67[/C][/ROW]
[ROW][C]47[/C][C]515709[/C][C]560349[/C][C]505134[/C][C]55215[/C][C]-44639.6[/C][/ROW]
[ROW][C]48[/C][C]620447[/C][C]594542[/C][C]515685[/C][C]78857[/C][C]25904.8[/C][/ROW]
[ROW][C]49[/C][C]641250[/C][C]572233[/C][C]531468[/C][C]40765[/C][C]69017.4[/C][/ROW]
[ROW][C]50[/C][C]493873[/C][C]454783[/C][C]554685[/C][C]-99901.2[/C][C]39089.7[/C][/ROW]
[ROW][C]51[/C][C]452367[/C][C]473434[/C][C]577897[/C][C]-104463[/C][C]-21067[/C][/ROW]
[ROW][C]52[/C][C]409838[/C][C]501488[/C][C]595832[/C][C]-94344.1[/C][C]-91650.1[/C][/ROW]
[ROW][C]53[/C][C]694135[/C][C]688375[/C][C]611999[/C][C]76375.6[/C][C]5760.03[/C][/ROW]
[ROW][C]54[/C][C]714939[/C][C]757724[/C][C]628602[/C][C]129122[/C][C]-42785.3[/C][/ROW]
[ROW][C]55[/C][C]661953[/C][C]661680[/C][C]646110[/C][C]15570.4[/C][C]273.024[/C][/ROW]
[ROW][C]56[/C][C]714939[/C][C]644325[/C][C]665390[/C][C]-21064.2[/C][C]70613.6[/C][/ROW]
[ROW][C]57[/C][C]704481[/C][C]669054[/C][C]683765[/C][C]-14711[/C][C]35427.5[/C][/ROW]
[ROW][C]58[/C][C]620447[/C][C]643357[/C][C]704778[/C][C]-61421.5[/C][C]-22909.7[/C][/ROW]
[ROW][C]59[/C][C]714939[/C][C]784940[/C][C]729725[/C][C]55215[/C][C]-70000.6[/C][/ROW]
[ROW][C]60[/C][C]819676[/C][C]835684[/C][C]756827[/C][C]78857[/C][C]-16008.2[/C][/ROW]
[ROW][C]61[/C][C]862205[/C][C]828675[/C][C]787910[/C][C]40765[/C][C]33530.1[/C][/ROW]
[ROW][C]62[/C][C]735641[/C][C]719954[/C][C]819855[/C][C]-99901.2[/C][C]15687.3[/C][/ROW]
[ROW][C]63[/C][C]651596[/C][C]746858[/C][C]851322[/C][C]-104463[/C][C]-95262.4[/C][/ROW]
[ROW][C]64[/C][C]714939[/C][C]787586[/C][C]881930[/C][C]-94344.1[/C][C]-72647.1[/C][/ROW]
[ROW][C]65[/C][C]987746[/C][C]991549[/C][C]915173[/C][C]76375.6[/C][C]-3803.05[/C][/ROW]
[ROW][C]66[/C][C]1071790[/C][C]1078440[/C][C]949322[/C][C]129122[/C][C]-6654.39[/C][/ROW]
[ROW][C]67[/C][C]1051088[/C][C]997269[/C][C]981698[/C][C]15570.4[/C][C]53819.1[/C][/ROW]
[ROW][C]68[/C][C]1092483[/C][C]991239[/C][C]1012300[/C][C]-21064.2[/C][C]101244[/C][/ROW]
[ROW][C]69[/C][C]1082137[/C][C]1026040[/C][C]1040750[/C][C]-14711[/C][C]56101.2[/C][/ROW]
[ROW][C]70[/C][C]977399[/C][C]1009060[/C][C]1070480[/C][C]-61421.5[/C][C]-31664[/C][/ROW]
[ROW][C]71[/C][C]1155825[/C][C]1153280[/C][C]1098060[/C][C]55215[/C][C]2548.8[/C][/ROW]
[ROW][C]72[/C][C]1198354[/C][C]1205400[/C][C]1126550[/C][C]78857[/C][C]-7050.33[/C][/ROW]
[ROW][C]73[/C][C]1260562[/C][C]1198820[/C][C]1158060[/C][C]40765[/C][C]61740.5[/C][/ROW]
[ROW][C]74[/C][C]1071790[/C][C]1087030[/C][C]1186930[/C][C]-99901.2[/C][C]-15240.4[/C][/ROW]
[ROW][C]75[/C][C]998102[/C][C]1110920[/C][C]1215380[/C][C]-104463[/C][C]-112815[/C][/ROW]
[ROW][C]76[/C][C]1082137[/C][C]1152120[/C][C]1246460[/C][C]-94344.1[/C][C]-69981[/C][/ROW]
[ROW][C]77[/C][C]1282389[/C][C]1355690[/C][C]1279320[/C][C]76375.6[/C][C]-73303.1[/C][/ROW]
[ROW][C]78[/C][C]1460814[/C][C]1439960[/C][C]1310830[/C][C]129122[/C][C]20857[/C][/ROW]
[ROW][C]79[/C][C]1418286[/C][C]1352220[/C][C]1336650[/C][C]15570.4[/C][C]66067.8[/C][/ROW]
[ROW][C]80[/C][C]1418286[/C][C]1337890[/C][C]1358950[/C][C]-21064.2[/C][C]80395.4[/C][/ROW]
[ROW][C]81[/C][C]1439089[/C][C]1371390[/C][C]1386100[/C][C]-14711[/C][C]67700[/C][/ROW]
[ROW][C]82[/C][C]1366423[/C][C]1353600[/C][C]1415020[/C][C]-61421.5[/C][C]12822.7[/C][/ROW]
[ROW][C]83[/C][C]1555307[/C][C]1493890[/C][C]1438670[/C][C]55215[/C][C]61421.8[/C][/ROW]
[ROW][C]84[/C][C]1555307[/C][C]1538540[/C][C]1459680[/C][C]78857[/C][C]16770.3[/C][/ROW]
[ROW][C]85[/C][C]1523124[/C][C]1517950[/C][C]1477190[/C][C]40765[/C][C]5171.67[/C][/ROW]
[ROW][C]86[/C][C]1344597[/C][C]1393930[/C][C]1493830[/C][C]-99901.2[/C][C]-49334.2[/C][/ROW]
[ROW][C]87[/C][C]1376780[/C][C]1405580[/C][C]1510040[/C][C]-104463[/C][C]-28799[/C][/ROW]
[ROW][C]88[/C][C]1397583[/C][C]1430570[/C][C]1524910[/C][C]-94344.1[/C][C]-32984[/C][/ROW]
[ROW][C]89[/C][C]1534503[/C][C]1620090[/C][C]1543720[/C][C]76375.6[/C][C]-85589.6[/C][/ROW]
[ROW][C]90[/C][C]1712929[/C][C]1691640[/C][C]1562520[/C][C]129122[/C][C]21287.8[/C][/ROW]
[ROW][C]91[/C][C]1586355[/C][C]1592950[/C][C]1577380[/C][C]15570.4[/C][C]-6598.85[/C][/ROW]
[ROW][C]92[/C][C]1649698[/C][C]1572530[/C][C]1593590[/C][C]-21064.2[/C][C]77169.1[/C][/ROW]
[ROW][C]93[/C][C]1596712[/C][C]1601190[/C][C]1615900[/C][C]-14711[/C][C]-4477.56[/C][/ROW]
[ROW][C]94[/C][C]1565653[/C][C]1581150[/C][C]1642570[/C][C]-61421.5[/C][C]-15497.5[/C][/ROW]
[ROW][C]95[/C][C]1807421[/C][C]1722730[/C][C]1667510[/C][C]55215[/C][C]84691.9[/C][/ROW]
[ROW][C]96[/C][C]1754435[/C][C]1764310[/C][C]1685450[/C][C]78857[/C][C]-9874.79[/C][/ROW]
[ROW][C]97[/C][C]1680746[/C][C]1742000[/C][C]1701230[/C][C]40765[/C][C]-61250[/C][/ROW]
[ROW][C]98[/C][C]1576009[/C][C]1618400[/C][C]1718300[/C][C]-99901.2[/C][C]-42393.1[/C][/ROW]
[ROW][C]99[/C][C]1680746[/C][C]1630010[/C][C]1734470[/C][C]-104463[/C][C]50739.2[/C][/ROW]
[ROW][C]100[/C][C]1733732[/C][C]1656730[/C][C]1751070[/C][C]-94344.1[/C][C]77003.6[/C][/ROW]
[ROW][C]101[/C][C]1796963[/C][C]1845780[/C][C]1769400[/C][C]76375.6[/C][C]-48812.7[/C][/ROW]
[ROW][C]102[/C][C]1880998[/C][C]1920830[/C][C]1791710[/C][C]129122[/C][C]-39831.6[/C][/ROW]
[ROW][C]103[/C][C]1796963[/C][C]1832270[/C][C]1816700[/C][C]15570.4[/C][C]-35307.7[/C][/ROW]
[ROW][C]104[/C][C]1848826[/C][C]1818420[/C][C]1839490[/C][C]-21064.2[/C][C]30404.1[/C][/ROW]
[ROW][C]105[/C][C]1785585[/C][C]1846650[/C][C]1861360[/C][C]-14711[/C][C]-61066.4[/C][/ROW]
[ROW][C]106[/C][C]1775239[/C][C]1822680[/C][C]1884100[/C][C]-61421.5[/C][C]-47440.8[/C][/ROW]
[ROW][C]107[/C][C]2037699[/C][C]1962060[/C][C]1906840[/C][C]55215[/C][C]75643.6[/C][/ROW]
[ROW][C]108[/C][C]2059525[/C][C]2008870[/C][C]1930020[/C][C]78857[/C][C]50652.9[/C][/ROW]
[ROW][C]109[/C][C]1975491[/C][C]1993950[/C][C]1953190[/C][C]40765[/C][C]-18463.8[/C][/ROW]
[ROW][C]110[/C][C]1828123[/C][C]1876940[/C][C]1976840[/C][C]-99901.2[/C][C]-48818.3[/C][/ROW]
[ROW][C]111[/C][C]1953664[/C][C]1898240[/C][C]2002700[/C][C]-104463[/C][C]55428.6[/C][/ROW]
[ROW][C]112[/C][C]2006549[/C][C]1931140[/C][C]2025480[/C][C]-94344.1[/C][C]75412.9[/C][/ROW]
[ROW][C]113[/C][C]2069882[/C][C]2119410[/C][C]2043030[/C][C]76375.6[/C][C]-49524[/C][/ROW]
[ROW][C]114[/C][C]2164273[/C][C]2187930[/C][C]2058810[/C][C]129122[/C][C]-23658.1[/C][/ROW]
[ROW][C]115[/C][C]2069882[/C][C]NA[/C][C]NA[/C][C]15570.4[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]2143570[/C][C]NA[/C][C]NA[/C][C]-21064.2[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]2111388[/C][C]NA[/C][C]NA[/C][C]-14711[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]1996193[/C][C]NA[/C][C]NA[/C][C]-61421.5[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]2237951[/C][C]NA[/C][C]NA[/C][C]55215[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]2237951[/C][C]NA[/C][C]NA[/C][C]78857[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235372&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235372&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
1588264NANA40765NA
2577918NANA-99901.2NA
3567562NANA-104463NA
4546859NANA-94344.1NA
5756344NANA76375.6NA
6745987NANA129122NA
758826458307356750315570.45190.65
8483527533778554842-21064.2-50250.6
9493873523533538244-14711-29659.6
10493873459357520779-61421.534516
1150422955896450374955215-54734.8
1252605556644348758678857-40387.9
1346282451348247271740765-50658
14399492354877454778-99901.244615.3
15347630332807437270-10446314823
16347630328920423264-94344.118709.8
1754685948827341189776375.658586.1
1856756253315440403212912234407.7
1940983841480339923215570.4-4964.6
20231412373799394863-21064.2-142387
21325803378380393091-14711-52577.4
22325803333400394821-61421.5-7596.71
2339949245003239481755215-50540.5
2444202147016939131278857-28147.8
25431664425505384740407656159.08
26325803280039379941-99901.245763.6
27378790273748378211-104463105042
28357986284345378689-94344.173640.9
2953641245511237873676375.681300.4
30493873506086376964129122-12213.5
3132580338764537207515570.4-61842.4
32200263344439365503-21064.2-144176
33315447344699359410-14711-29251.7
34347630292283353705-61421.555346.8
3537879040844635323155215-29655.6
3642019543731935846278857-17123.9
3733615040666236589740765-70511.7
38263595278230378131-99901.2-14634.7
39294755288110392573-1044636645.33
40305101307871402215-94344.1-2769.89
4157791848779741142176375.690121.1
4257791855459342547012912223325.4
4342019546209744652615570.4-41901.9
44399492447770468834-21064.2-48277.7
45462824470285484996-14711-7460.98
46431664434506495927-61421.5-2841.67
4751570956034950513455215-44639.6
486204475945425156857885725904.8
496412505722335314684076569017.4
50493873454783554685-99901.239089.7
51452367473434577897-104463-21067
52409838501488595832-94344.1-91650.1
5369413568837561199976375.65760.03
54714939757724628602129122-42785.3
5566195366168064611015570.4273.024
56714939644325665390-21064.270613.6
57704481669054683765-1471135427.5
58620447643357704778-61421.5-22909.7
5971493978494072972555215-70000.6
6081967683568475682778857-16008.2
618622058286757879104076533530.1
62735641719954819855-99901.215687.3
63651596746858851322-104463-95262.4
64714939787586881930-94344.1-72647.1
6598774699154991517376375.6-3803.05
6610717901078440949322129122-6654.39
67105108899726998169815570.453819.1
6810924839912391012300-21064.2101244
69108213710260401040750-1471156101.2
7097739910090601070480-61421.5-31664
71115582511532801098060552152548.8
7211983541205400112655078857-7050.33
731260562119882011580604076561740.5
74107179010870301186930-99901.2-15240.4
7599810211109201215380-104463-112815
76108213711521201246460-94344.1-69981
7712823891355690127932076375.6-73303.1
7814608141439960131083012912220857
7914182861352220133665015570.466067.8
80141828613378901358950-21064.280395.4
81143908913713901386100-1471167700
82136642313536001415020-61421.512822.7
831555307149389014386705521561421.8
841555307153854014596807885716770.3
85152312415179501477190407655171.67
86134459713939301493830-99901.2-49334.2
87137678014055801510040-104463-28799
88139758314305701524910-94344.1-32984
8915345031620090154372076375.6-85589.6
9017129291691640156252012912221287.8
9115863551592950157738015570.4-6598.85
92164969815725301593590-21064.277169.1
93159671216011901615900-14711-4477.56
94156565315811501642570-61421.5-15497.5
951807421172273016675105521584691.9
9617544351764310168545078857-9874.79
9716807461742000170123040765-61250
98157600916184001718300-99901.2-42393.1
99168074616300101734470-10446350739.2
100173373216567301751070-94344.177003.6
10117969631845780176940076375.6-48812.7
102188099819208301791710129122-39831.6
10317969631832270181670015570.4-35307.7
104184882618184201839490-21064.230404.1
105178558518466501861360-14711-61066.4
106177523918226801884100-61421.5-47440.8
1072037699196206019068405521575643.6
1082059525200887019300207885750652.9
10919754911993950195319040765-18463.8
110182812318769401976840-99901.2-48818.3
111195366418982402002700-10446355428.6
112200654919311402025480-94344.175412.9
11320698822119410204303076375.6-49524
114216427321879302058810129122-23658.1
1152069882NANA15570.4NA
1162143570NANA-21064.2NA
1172111388NANA-14711NA
1181996193NANA-61421.5NA
1192237951NANA55215NA
1202237951NANA78857NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')