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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 18 Aug 2014 13:14:45 +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/Aug/18/t1408364109l08jjhi422x6iie.htm/, Retrieved Thu, 16 May 2024 21:46:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235712, Retrieved Thu, 16 May 2024 21:46:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsVan Reusel Raphael
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Tijdreeks 2] [2014-08-18 12:14:45] [bf566d88435d8cc6ce5d208f6f8dd684] [Current]
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Dataseries X:
770
710
890
730
790
820
810
810
760
840
830
890
800
710
850
790
800
840
850
810
760
860
860
880
770
740
850
790
860
820
900
800
660
820
850
850
760
730
770
880
890
790
930
770
680
810
870
850
820
740
800
920
970
780
880
750
620
760
930
820
900
700
810
970
820
740
930
720
580
800
910
810
890
710
830
900
830
680
980
690
530
740
930
770
870
660
770
900
830
660
1000
710
460
740
940
870
810
650
760
950
870
670
960
750
480
690
850
890




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=235712&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=235712&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235712&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'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1770NANA21.2326NA
2710NANA-101.736NA
3890NANA0.0347222NA
4730NANA84.7743NA
5790NANA56.7014NA
6820NANA-54.6528NA
7810909.722805.417104.306-99.7222
8810758.576806.667-48.090351.4236
9760631.649805-173.351128.351
10840797.014805.833-8.8194442.9861
11830892.118808.7583.3681-62.1181
12890846.23381036.232643.7674
13800833.733812.521.2326-33.7326
14710712.431814.167-101.736-2.43056
15850814.201814.1670.034722235.7986
16790899.77481584.7743-109.774
17800873.785817.08356.7014-73.7847
18840763.264817.917-54.652876.7361
19850920.556816.25104.306-70.5556
20810768.16816.25-48.090341.8403
21760644.149817.5-173.351115.851
22860808.681817.5-8.8194451.3194
23860903.36882083.3681-43.3681
24880857.899821.66736.232622.1007
25770844.149822.91721.2326-74.1493
26740722.847824.583-101.73617.1528
27850820.0358200.034722229.9653
28790898.941814.16784.7743-108.941
29860868.785812.08356.7014-8.78472
30820755.764810.417-54.652864.2361
31900913.056808.75104.306-13.0556
32800759.826807.917-48.090340.1736
33660630.816804.167-173.35129.184
34820795.764804.583-8.8194424.2361
35850892.951809.58383.3681-42.9514
36850845.816809.58336.23264.18403
37760830.816809.58321.2326-70.816
38730707.847809.583-101.73622.1528
39770809.201809.1670.0347222-39.2014
40880894.358809.58384.7743-14.3576
41890866.70181056.701423.2986
42790756.181810.833-54.652833.8194
43930917.639813.333104.30612.3611
44770768.16816.25-48.09031.84028
45680644.566817.917-173.35135.434
46810812.014820.833-8.81944-2.01389
47870909.201825.83383.3681-39.2014
48850864.983828.7536.2326-14.9826
49820847.483826.2521.2326-27.4826
50740721.597823.333-101.73618.4028
51800820.0358200.0347222-20.0347
52920900.191815.41784.774319.809
53970872.535815.83356.701497.4653
54780762.431817.083-54.652817.5694
55880923.472819.167104.306-43.4722
56750772.743820.833-48.0903-22.7431
57620646.233819.583-173.351-26.2326
58760813.264822.083-8.81944-53.2639
59930901.285817.91783.368128.7153
60820846.23381036.2326-26.2326
61900831.649810.41721.232668.3507
62700709.514811.25-101.736-9.51389
63810808.368808.3330.03472221.63194
64970893.108808.33384.774376.8924
65820865.868809.16756.7014-45.8681
66740753.264807.917-54.6528-13.2639
67930911.389807.083104.30618.6111
68720758.993807.083-48.0903-38.9931
69580634.983808.333-173.351-54.9826
70800797.431806.25-8.819442.56944
71910887.118803.7583.368122.8819
72810837.899801.66736.2326-27.8993
73890822.483801.2521.232667.5174
74710700.347802.083-101.7369.65278
75830798.785798.750.034722231.2153
76900878.941794.16784.774321.059
77830849.201792.556.7014-19.2014
78680737.014791.667-54.6528-57.0139
79980893.472789.167104.30686.5278
80690738.16786.25-48.0903-48.1597
81530608.316781.667-173.351-78.316
82740770.347779.167-8.81944-30.3472
83930862.535779.16783.368167.4653
84770814.566778.33336.2326-44.566
85870799.566778.33321.232670.434
86660678.264780-101.736-18.2639
87770777.951777.9170.0347222-7.95139
88900859.77477584.774340.2257
89830832.118775.41756.7014-2.11806
90660725.347780-54.6528-65.3472
911000885.972781.667104.306114.028
92710730.66778.75-48.0903-20.6597
93460604.566777.917-173.351-144.566
94740770.764779.583-8.81944-30.7639
95940866.701783.33383.368173.2986
96870821.649785.41736.232648.3507
97810805.399784.16721.23264.60069
98650682.431784.167-101.736-32.4306
99760786.701786.6670.0347222-26.7014
100950870.191785.41784.774379.809
101870836.285779.58356.701433.7153
102670722.014776.667-54.6528-52.0139
103960NANA104.306NA
104750NANA-48.0903NA
105480NANA-173.351NA
106690NANA-8.81944NA
107850NANA83.3681NA
108890NANA36.2326NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 770 & NA & NA & 21.2326 & NA \tabularnewline
2 & 710 & NA & NA & -101.736 & NA \tabularnewline
3 & 890 & NA & NA & 0.0347222 & NA \tabularnewline
4 & 730 & NA & NA & 84.7743 & NA \tabularnewline
5 & 790 & NA & NA & 56.7014 & NA \tabularnewline
6 & 820 & NA & NA & -54.6528 & NA \tabularnewline
7 & 810 & 909.722 & 805.417 & 104.306 & -99.7222 \tabularnewline
8 & 810 & 758.576 & 806.667 & -48.0903 & 51.4236 \tabularnewline
9 & 760 & 631.649 & 805 & -173.351 & 128.351 \tabularnewline
10 & 840 & 797.014 & 805.833 & -8.81944 & 42.9861 \tabularnewline
11 & 830 & 892.118 & 808.75 & 83.3681 & -62.1181 \tabularnewline
12 & 890 & 846.233 & 810 & 36.2326 & 43.7674 \tabularnewline
13 & 800 & 833.733 & 812.5 & 21.2326 & -33.7326 \tabularnewline
14 & 710 & 712.431 & 814.167 & -101.736 & -2.43056 \tabularnewline
15 & 850 & 814.201 & 814.167 & 0.0347222 & 35.7986 \tabularnewline
16 & 790 & 899.774 & 815 & 84.7743 & -109.774 \tabularnewline
17 & 800 & 873.785 & 817.083 & 56.7014 & -73.7847 \tabularnewline
18 & 840 & 763.264 & 817.917 & -54.6528 & 76.7361 \tabularnewline
19 & 850 & 920.556 & 816.25 & 104.306 & -70.5556 \tabularnewline
20 & 810 & 768.16 & 816.25 & -48.0903 & 41.8403 \tabularnewline
21 & 760 & 644.149 & 817.5 & -173.351 & 115.851 \tabularnewline
22 & 860 & 808.681 & 817.5 & -8.81944 & 51.3194 \tabularnewline
23 & 860 & 903.368 & 820 & 83.3681 & -43.3681 \tabularnewline
24 & 880 & 857.899 & 821.667 & 36.2326 & 22.1007 \tabularnewline
25 & 770 & 844.149 & 822.917 & 21.2326 & -74.1493 \tabularnewline
26 & 740 & 722.847 & 824.583 & -101.736 & 17.1528 \tabularnewline
27 & 850 & 820.035 & 820 & 0.0347222 & 29.9653 \tabularnewline
28 & 790 & 898.941 & 814.167 & 84.7743 & -108.941 \tabularnewline
29 & 860 & 868.785 & 812.083 & 56.7014 & -8.78472 \tabularnewline
30 & 820 & 755.764 & 810.417 & -54.6528 & 64.2361 \tabularnewline
31 & 900 & 913.056 & 808.75 & 104.306 & -13.0556 \tabularnewline
32 & 800 & 759.826 & 807.917 & -48.0903 & 40.1736 \tabularnewline
33 & 660 & 630.816 & 804.167 & -173.351 & 29.184 \tabularnewline
34 & 820 & 795.764 & 804.583 & -8.81944 & 24.2361 \tabularnewline
35 & 850 & 892.951 & 809.583 & 83.3681 & -42.9514 \tabularnewline
36 & 850 & 845.816 & 809.583 & 36.2326 & 4.18403 \tabularnewline
37 & 760 & 830.816 & 809.583 & 21.2326 & -70.816 \tabularnewline
38 & 730 & 707.847 & 809.583 & -101.736 & 22.1528 \tabularnewline
39 & 770 & 809.201 & 809.167 & 0.0347222 & -39.2014 \tabularnewline
40 & 880 & 894.358 & 809.583 & 84.7743 & -14.3576 \tabularnewline
41 & 890 & 866.701 & 810 & 56.7014 & 23.2986 \tabularnewline
42 & 790 & 756.181 & 810.833 & -54.6528 & 33.8194 \tabularnewline
43 & 930 & 917.639 & 813.333 & 104.306 & 12.3611 \tabularnewline
44 & 770 & 768.16 & 816.25 & -48.0903 & 1.84028 \tabularnewline
45 & 680 & 644.566 & 817.917 & -173.351 & 35.434 \tabularnewline
46 & 810 & 812.014 & 820.833 & -8.81944 & -2.01389 \tabularnewline
47 & 870 & 909.201 & 825.833 & 83.3681 & -39.2014 \tabularnewline
48 & 850 & 864.983 & 828.75 & 36.2326 & -14.9826 \tabularnewline
49 & 820 & 847.483 & 826.25 & 21.2326 & -27.4826 \tabularnewline
50 & 740 & 721.597 & 823.333 & -101.736 & 18.4028 \tabularnewline
51 & 800 & 820.035 & 820 & 0.0347222 & -20.0347 \tabularnewline
52 & 920 & 900.191 & 815.417 & 84.7743 & 19.809 \tabularnewline
53 & 970 & 872.535 & 815.833 & 56.7014 & 97.4653 \tabularnewline
54 & 780 & 762.431 & 817.083 & -54.6528 & 17.5694 \tabularnewline
55 & 880 & 923.472 & 819.167 & 104.306 & -43.4722 \tabularnewline
56 & 750 & 772.743 & 820.833 & -48.0903 & -22.7431 \tabularnewline
57 & 620 & 646.233 & 819.583 & -173.351 & -26.2326 \tabularnewline
58 & 760 & 813.264 & 822.083 & -8.81944 & -53.2639 \tabularnewline
59 & 930 & 901.285 & 817.917 & 83.3681 & 28.7153 \tabularnewline
60 & 820 & 846.233 & 810 & 36.2326 & -26.2326 \tabularnewline
61 & 900 & 831.649 & 810.417 & 21.2326 & 68.3507 \tabularnewline
62 & 700 & 709.514 & 811.25 & -101.736 & -9.51389 \tabularnewline
63 & 810 & 808.368 & 808.333 & 0.0347222 & 1.63194 \tabularnewline
64 & 970 & 893.108 & 808.333 & 84.7743 & 76.8924 \tabularnewline
65 & 820 & 865.868 & 809.167 & 56.7014 & -45.8681 \tabularnewline
66 & 740 & 753.264 & 807.917 & -54.6528 & -13.2639 \tabularnewline
67 & 930 & 911.389 & 807.083 & 104.306 & 18.6111 \tabularnewline
68 & 720 & 758.993 & 807.083 & -48.0903 & -38.9931 \tabularnewline
69 & 580 & 634.983 & 808.333 & -173.351 & -54.9826 \tabularnewline
70 & 800 & 797.431 & 806.25 & -8.81944 & 2.56944 \tabularnewline
71 & 910 & 887.118 & 803.75 & 83.3681 & 22.8819 \tabularnewline
72 & 810 & 837.899 & 801.667 & 36.2326 & -27.8993 \tabularnewline
73 & 890 & 822.483 & 801.25 & 21.2326 & 67.5174 \tabularnewline
74 & 710 & 700.347 & 802.083 & -101.736 & 9.65278 \tabularnewline
75 & 830 & 798.785 & 798.75 & 0.0347222 & 31.2153 \tabularnewline
76 & 900 & 878.941 & 794.167 & 84.7743 & 21.059 \tabularnewline
77 & 830 & 849.201 & 792.5 & 56.7014 & -19.2014 \tabularnewline
78 & 680 & 737.014 & 791.667 & -54.6528 & -57.0139 \tabularnewline
79 & 980 & 893.472 & 789.167 & 104.306 & 86.5278 \tabularnewline
80 & 690 & 738.16 & 786.25 & -48.0903 & -48.1597 \tabularnewline
81 & 530 & 608.316 & 781.667 & -173.351 & -78.316 \tabularnewline
82 & 740 & 770.347 & 779.167 & -8.81944 & -30.3472 \tabularnewline
83 & 930 & 862.535 & 779.167 & 83.3681 & 67.4653 \tabularnewline
84 & 770 & 814.566 & 778.333 & 36.2326 & -44.566 \tabularnewline
85 & 870 & 799.566 & 778.333 & 21.2326 & 70.434 \tabularnewline
86 & 660 & 678.264 & 780 & -101.736 & -18.2639 \tabularnewline
87 & 770 & 777.951 & 777.917 & 0.0347222 & -7.95139 \tabularnewline
88 & 900 & 859.774 & 775 & 84.7743 & 40.2257 \tabularnewline
89 & 830 & 832.118 & 775.417 & 56.7014 & -2.11806 \tabularnewline
90 & 660 & 725.347 & 780 & -54.6528 & -65.3472 \tabularnewline
91 & 1000 & 885.972 & 781.667 & 104.306 & 114.028 \tabularnewline
92 & 710 & 730.66 & 778.75 & -48.0903 & -20.6597 \tabularnewline
93 & 460 & 604.566 & 777.917 & -173.351 & -144.566 \tabularnewline
94 & 740 & 770.764 & 779.583 & -8.81944 & -30.7639 \tabularnewline
95 & 940 & 866.701 & 783.333 & 83.3681 & 73.2986 \tabularnewline
96 & 870 & 821.649 & 785.417 & 36.2326 & 48.3507 \tabularnewline
97 & 810 & 805.399 & 784.167 & 21.2326 & 4.60069 \tabularnewline
98 & 650 & 682.431 & 784.167 & -101.736 & -32.4306 \tabularnewline
99 & 760 & 786.701 & 786.667 & 0.0347222 & -26.7014 \tabularnewline
100 & 950 & 870.191 & 785.417 & 84.7743 & 79.809 \tabularnewline
101 & 870 & 836.285 & 779.583 & 56.7014 & 33.7153 \tabularnewline
102 & 670 & 722.014 & 776.667 & -54.6528 & -52.0139 \tabularnewline
103 & 960 & NA & NA & 104.306 & NA \tabularnewline
104 & 750 & NA & NA & -48.0903 & NA \tabularnewline
105 & 480 & NA & NA & -173.351 & NA \tabularnewline
106 & 690 & NA & NA & -8.81944 & NA \tabularnewline
107 & 850 & NA & NA & 83.3681 & NA \tabularnewline
108 & 890 & NA & NA & 36.2326 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235712&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]770[/C][C]NA[/C][C]NA[/C][C]21.2326[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]710[/C][C]NA[/C][C]NA[/C][C]-101.736[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]890[/C][C]NA[/C][C]NA[/C][C]0.0347222[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]730[/C][C]NA[/C][C]NA[/C][C]84.7743[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]790[/C][C]NA[/C][C]NA[/C][C]56.7014[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]820[/C][C]NA[/C][C]NA[/C][C]-54.6528[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]810[/C][C]909.722[/C][C]805.417[/C][C]104.306[/C][C]-99.7222[/C][/ROW]
[ROW][C]8[/C][C]810[/C][C]758.576[/C][C]806.667[/C][C]-48.0903[/C][C]51.4236[/C][/ROW]
[ROW][C]9[/C][C]760[/C][C]631.649[/C][C]805[/C][C]-173.351[/C][C]128.351[/C][/ROW]
[ROW][C]10[/C][C]840[/C][C]797.014[/C][C]805.833[/C][C]-8.81944[/C][C]42.9861[/C][/ROW]
[ROW][C]11[/C][C]830[/C][C]892.118[/C][C]808.75[/C][C]83.3681[/C][C]-62.1181[/C][/ROW]
[ROW][C]12[/C][C]890[/C][C]846.233[/C][C]810[/C][C]36.2326[/C][C]43.7674[/C][/ROW]
[ROW][C]13[/C][C]800[/C][C]833.733[/C][C]812.5[/C][C]21.2326[/C][C]-33.7326[/C][/ROW]
[ROW][C]14[/C][C]710[/C][C]712.431[/C][C]814.167[/C][C]-101.736[/C][C]-2.43056[/C][/ROW]
[ROW][C]15[/C][C]850[/C][C]814.201[/C][C]814.167[/C][C]0.0347222[/C][C]35.7986[/C][/ROW]
[ROW][C]16[/C][C]790[/C][C]899.774[/C][C]815[/C][C]84.7743[/C][C]-109.774[/C][/ROW]
[ROW][C]17[/C][C]800[/C][C]873.785[/C][C]817.083[/C][C]56.7014[/C][C]-73.7847[/C][/ROW]
[ROW][C]18[/C][C]840[/C][C]763.264[/C][C]817.917[/C][C]-54.6528[/C][C]76.7361[/C][/ROW]
[ROW][C]19[/C][C]850[/C][C]920.556[/C][C]816.25[/C][C]104.306[/C][C]-70.5556[/C][/ROW]
[ROW][C]20[/C][C]810[/C][C]768.16[/C][C]816.25[/C][C]-48.0903[/C][C]41.8403[/C][/ROW]
[ROW][C]21[/C][C]760[/C][C]644.149[/C][C]817.5[/C][C]-173.351[/C][C]115.851[/C][/ROW]
[ROW][C]22[/C][C]860[/C][C]808.681[/C][C]817.5[/C][C]-8.81944[/C][C]51.3194[/C][/ROW]
[ROW][C]23[/C][C]860[/C][C]903.368[/C][C]820[/C][C]83.3681[/C][C]-43.3681[/C][/ROW]
[ROW][C]24[/C][C]880[/C][C]857.899[/C][C]821.667[/C][C]36.2326[/C][C]22.1007[/C][/ROW]
[ROW][C]25[/C][C]770[/C][C]844.149[/C][C]822.917[/C][C]21.2326[/C][C]-74.1493[/C][/ROW]
[ROW][C]26[/C][C]740[/C][C]722.847[/C][C]824.583[/C][C]-101.736[/C][C]17.1528[/C][/ROW]
[ROW][C]27[/C][C]850[/C][C]820.035[/C][C]820[/C][C]0.0347222[/C][C]29.9653[/C][/ROW]
[ROW][C]28[/C][C]790[/C][C]898.941[/C][C]814.167[/C][C]84.7743[/C][C]-108.941[/C][/ROW]
[ROW][C]29[/C][C]860[/C][C]868.785[/C][C]812.083[/C][C]56.7014[/C][C]-8.78472[/C][/ROW]
[ROW][C]30[/C][C]820[/C][C]755.764[/C][C]810.417[/C][C]-54.6528[/C][C]64.2361[/C][/ROW]
[ROW][C]31[/C][C]900[/C][C]913.056[/C][C]808.75[/C][C]104.306[/C][C]-13.0556[/C][/ROW]
[ROW][C]32[/C][C]800[/C][C]759.826[/C][C]807.917[/C][C]-48.0903[/C][C]40.1736[/C][/ROW]
[ROW][C]33[/C][C]660[/C][C]630.816[/C][C]804.167[/C][C]-173.351[/C][C]29.184[/C][/ROW]
[ROW][C]34[/C][C]820[/C][C]795.764[/C][C]804.583[/C][C]-8.81944[/C][C]24.2361[/C][/ROW]
[ROW][C]35[/C][C]850[/C][C]892.951[/C][C]809.583[/C][C]83.3681[/C][C]-42.9514[/C][/ROW]
[ROW][C]36[/C][C]850[/C][C]845.816[/C][C]809.583[/C][C]36.2326[/C][C]4.18403[/C][/ROW]
[ROW][C]37[/C][C]760[/C][C]830.816[/C][C]809.583[/C][C]21.2326[/C][C]-70.816[/C][/ROW]
[ROW][C]38[/C][C]730[/C][C]707.847[/C][C]809.583[/C][C]-101.736[/C][C]22.1528[/C][/ROW]
[ROW][C]39[/C][C]770[/C][C]809.201[/C][C]809.167[/C][C]0.0347222[/C][C]-39.2014[/C][/ROW]
[ROW][C]40[/C][C]880[/C][C]894.358[/C][C]809.583[/C][C]84.7743[/C][C]-14.3576[/C][/ROW]
[ROW][C]41[/C][C]890[/C][C]866.701[/C][C]810[/C][C]56.7014[/C][C]23.2986[/C][/ROW]
[ROW][C]42[/C][C]790[/C][C]756.181[/C][C]810.833[/C][C]-54.6528[/C][C]33.8194[/C][/ROW]
[ROW][C]43[/C][C]930[/C][C]917.639[/C][C]813.333[/C][C]104.306[/C][C]12.3611[/C][/ROW]
[ROW][C]44[/C][C]770[/C][C]768.16[/C][C]816.25[/C][C]-48.0903[/C][C]1.84028[/C][/ROW]
[ROW][C]45[/C][C]680[/C][C]644.566[/C][C]817.917[/C][C]-173.351[/C][C]35.434[/C][/ROW]
[ROW][C]46[/C][C]810[/C][C]812.014[/C][C]820.833[/C][C]-8.81944[/C][C]-2.01389[/C][/ROW]
[ROW][C]47[/C][C]870[/C][C]909.201[/C][C]825.833[/C][C]83.3681[/C][C]-39.2014[/C][/ROW]
[ROW][C]48[/C][C]850[/C][C]864.983[/C][C]828.75[/C][C]36.2326[/C][C]-14.9826[/C][/ROW]
[ROW][C]49[/C][C]820[/C][C]847.483[/C][C]826.25[/C][C]21.2326[/C][C]-27.4826[/C][/ROW]
[ROW][C]50[/C][C]740[/C][C]721.597[/C][C]823.333[/C][C]-101.736[/C][C]18.4028[/C][/ROW]
[ROW][C]51[/C][C]800[/C][C]820.035[/C][C]820[/C][C]0.0347222[/C][C]-20.0347[/C][/ROW]
[ROW][C]52[/C][C]920[/C][C]900.191[/C][C]815.417[/C][C]84.7743[/C][C]19.809[/C][/ROW]
[ROW][C]53[/C][C]970[/C][C]872.535[/C][C]815.833[/C][C]56.7014[/C][C]97.4653[/C][/ROW]
[ROW][C]54[/C][C]780[/C][C]762.431[/C][C]817.083[/C][C]-54.6528[/C][C]17.5694[/C][/ROW]
[ROW][C]55[/C][C]880[/C][C]923.472[/C][C]819.167[/C][C]104.306[/C][C]-43.4722[/C][/ROW]
[ROW][C]56[/C][C]750[/C][C]772.743[/C][C]820.833[/C][C]-48.0903[/C][C]-22.7431[/C][/ROW]
[ROW][C]57[/C][C]620[/C][C]646.233[/C][C]819.583[/C][C]-173.351[/C][C]-26.2326[/C][/ROW]
[ROW][C]58[/C][C]760[/C][C]813.264[/C][C]822.083[/C][C]-8.81944[/C][C]-53.2639[/C][/ROW]
[ROW][C]59[/C][C]930[/C][C]901.285[/C][C]817.917[/C][C]83.3681[/C][C]28.7153[/C][/ROW]
[ROW][C]60[/C][C]820[/C][C]846.233[/C][C]810[/C][C]36.2326[/C][C]-26.2326[/C][/ROW]
[ROW][C]61[/C][C]900[/C][C]831.649[/C][C]810.417[/C][C]21.2326[/C][C]68.3507[/C][/ROW]
[ROW][C]62[/C][C]700[/C][C]709.514[/C][C]811.25[/C][C]-101.736[/C][C]-9.51389[/C][/ROW]
[ROW][C]63[/C][C]810[/C][C]808.368[/C][C]808.333[/C][C]0.0347222[/C][C]1.63194[/C][/ROW]
[ROW][C]64[/C][C]970[/C][C]893.108[/C][C]808.333[/C][C]84.7743[/C][C]76.8924[/C][/ROW]
[ROW][C]65[/C][C]820[/C][C]865.868[/C][C]809.167[/C][C]56.7014[/C][C]-45.8681[/C][/ROW]
[ROW][C]66[/C][C]740[/C][C]753.264[/C][C]807.917[/C][C]-54.6528[/C][C]-13.2639[/C][/ROW]
[ROW][C]67[/C][C]930[/C][C]911.389[/C][C]807.083[/C][C]104.306[/C][C]18.6111[/C][/ROW]
[ROW][C]68[/C][C]720[/C][C]758.993[/C][C]807.083[/C][C]-48.0903[/C][C]-38.9931[/C][/ROW]
[ROW][C]69[/C][C]580[/C][C]634.983[/C][C]808.333[/C][C]-173.351[/C][C]-54.9826[/C][/ROW]
[ROW][C]70[/C][C]800[/C][C]797.431[/C][C]806.25[/C][C]-8.81944[/C][C]2.56944[/C][/ROW]
[ROW][C]71[/C][C]910[/C][C]887.118[/C][C]803.75[/C][C]83.3681[/C][C]22.8819[/C][/ROW]
[ROW][C]72[/C][C]810[/C][C]837.899[/C][C]801.667[/C][C]36.2326[/C][C]-27.8993[/C][/ROW]
[ROW][C]73[/C][C]890[/C][C]822.483[/C][C]801.25[/C][C]21.2326[/C][C]67.5174[/C][/ROW]
[ROW][C]74[/C][C]710[/C][C]700.347[/C][C]802.083[/C][C]-101.736[/C][C]9.65278[/C][/ROW]
[ROW][C]75[/C][C]830[/C][C]798.785[/C][C]798.75[/C][C]0.0347222[/C][C]31.2153[/C][/ROW]
[ROW][C]76[/C][C]900[/C][C]878.941[/C][C]794.167[/C][C]84.7743[/C][C]21.059[/C][/ROW]
[ROW][C]77[/C][C]830[/C][C]849.201[/C][C]792.5[/C][C]56.7014[/C][C]-19.2014[/C][/ROW]
[ROW][C]78[/C][C]680[/C][C]737.014[/C][C]791.667[/C][C]-54.6528[/C][C]-57.0139[/C][/ROW]
[ROW][C]79[/C][C]980[/C][C]893.472[/C][C]789.167[/C][C]104.306[/C][C]86.5278[/C][/ROW]
[ROW][C]80[/C][C]690[/C][C]738.16[/C][C]786.25[/C][C]-48.0903[/C][C]-48.1597[/C][/ROW]
[ROW][C]81[/C][C]530[/C][C]608.316[/C][C]781.667[/C][C]-173.351[/C][C]-78.316[/C][/ROW]
[ROW][C]82[/C][C]740[/C][C]770.347[/C][C]779.167[/C][C]-8.81944[/C][C]-30.3472[/C][/ROW]
[ROW][C]83[/C][C]930[/C][C]862.535[/C][C]779.167[/C][C]83.3681[/C][C]67.4653[/C][/ROW]
[ROW][C]84[/C][C]770[/C][C]814.566[/C][C]778.333[/C][C]36.2326[/C][C]-44.566[/C][/ROW]
[ROW][C]85[/C][C]870[/C][C]799.566[/C][C]778.333[/C][C]21.2326[/C][C]70.434[/C][/ROW]
[ROW][C]86[/C][C]660[/C][C]678.264[/C][C]780[/C][C]-101.736[/C][C]-18.2639[/C][/ROW]
[ROW][C]87[/C][C]770[/C][C]777.951[/C][C]777.917[/C][C]0.0347222[/C][C]-7.95139[/C][/ROW]
[ROW][C]88[/C][C]900[/C][C]859.774[/C][C]775[/C][C]84.7743[/C][C]40.2257[/C][/ROW]
[ROW][C]89[/C][C]830[/C][C]832.118[/C][C]775.417[/C][C]56.7014[/C][C]-2.11806[/C][/ROW]
[ROW][C]90[/C][C]660[/C][C]725.347[/C][C]780[/C][C]-54.6528[/C][C]-65.3472[/C][/ROW]
[ROW][C]91[/C][C]1000[/C][C]885.972[/C][C]781.667[/C][C]104.306[/C][C]114.028[/C][/ROW]
[ROW][C]92[/C][C]710[/C][C]730.66[/C][C]778.75[/C][C]-48.0903[/C][C]-20.6597[/C][/ROW]
[ROW][C]93[/C][C]460[/C][C]604.566[/C][C]777.917[/C][C]-173.351[/C][C]-144.566[/C][/ROW]
[ROW][C]94[/C][C]740[/C][C]770.764[/C][C]779.583[/C][C]-8.81944[/C][C]-30.7639[/C][/ROW]
[ROW][C]95[/C][C]940[/C][C]866.701[/C][C]783.333[/C][C]83.3681[/C][C]73.2986[/C][/ROW]
[ROW][C]96[/C][C]870[/C][C]821.649[/C][C]785.417[/C][C]36.2326[/C][C]48.3507[/C][/ROW]
[ROW][C]97[/C][C]810[/C][C]805.399[/C][C]784.167[/C][C]21.2326[/C][C]4.60069[/C][/ROW]
[ROW][C]98[/C][C]650[/C][C]682.431[/C][C]784.167[/C][C]-101.736[/C][C]-32.4306[/C][/ROW]
[ROW][C]99[/C][C]760[/C][C]786.701[/C][C]786.667[/C][C]0.0347222[/C][C]-26.7014[/C][/ROW]
[ROW][C]100[/C][C]950[/C][C]870.191[/C][C]785.417[/C][C]84.7743[/C][C]79.809[/C][/ROW]
[ROW][C]101[/C][C]870[/C][C]836.285[/C][C]779.583[/C][C]56.7014[/C][C]33.7153[/C][/ROW]
[ROW][C]102[/C][C]670[/C][C]722.014[/C][C]776.667[/C][C]-54.6528[/C][C]-52.0139[/C][/ROW]
[ROW][C]103[/C][C]960[/C][C]NA[/C][C]NA[/C][C]104.306[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]750[/C][C]NA[/C][C]NA[/C][C]-48.0903[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]480[/C][C]NA[/C][C]NA[/C][C]-173.351[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]690[/C][C]NA[/C][C]NA[/C][C]-8.81944[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]850[/C][C]NA[/C][C]NA[/C][C]83.3681[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]890[/C][C]NA[/C][C]NA[/C][C]36.2326[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235712&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235712&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
1770NANA21.2326NA
2710NANA-101.736NA
3890NANA0.0347222NA
4730NANA84.7743NA
5790NANA56.7014NA
6820NANA-54.6528NA
7810909.722805.417104.306-99.7222
8810758.576806.667-48.090351.4236
9760631.649805-173.351128.351
10840797.014805.833-8.8194442.9861
11830892.118808.7583.3681-62.1181
12890846.23381036.232643.7674
13800833.733812.521.2326-33.7326
14710712.431814.167-101.736-2.43056
15850814.201814.1670.034722235.7986
16790899.77481584.7743-109.774
17800873.785817.08356.7014-73.7847
18840763.264817.917-54.652876.7361
19850920.556816.25104.306-70.5556
20810768.16816.25-48.090341.8403
21760644.149817.5-173.351115.851
22860808.681817.5-8.8194451.3194
23860903.36882083.3681-43.3681
24880857.899821.66736.232622.1007
25770844.149822.91721.2326-74.1493
26740722.847824.583-101.73617.1528
27850820.0358200.034722229.9653
28790898.941814.16784.7743-108.941
29860868.785812.08356.7014-8.78472
30820755.764810.417-54.652864.2361
31900913.056808.75104.306-13.0556
32800759.826807.917-48.090340.1736
33660630.816804.167-173.35129.184
34820795.764804.583-8.8194424.2361
35850892.951809.58383.3681-42.9514
36850845.816809.58336.23264.18403
37760830.816809.58321.2326-70.816
38730707.847809.583-101.73622.1528
39770809.201809.1670.0347222-39.2014
40880894.358809.58384.7743-14.3576
41890866.70181056.701423.2986
42790756.181810.833-54.652833.8194
43930917.639813.333104.30612.3611
44770768.16816.25-48.09031.84028
45680644.566817.917-173.35135.434
46810812.014820.833-8.81944-2.01389
47870909.201825.83383.3681-39.2014
48850864.983828.7536.2326-14.9826
49820847.483826.2521.2326-27.4826
50740721.597823.333-101.73618.4028
51800820.0358200.0347222-20.0347
52920900.191815.41784.774319.809
53970872.535815.83356.701497.4653
54780762.431817.083-54.652817.5694
55880923.472819.167104.306-43.4722
56750772.743820.833-48.0903-22.7431
57620646.233819.583-173.351-26.2326
58760813.264822.083-8.81944-53.2639
59930901.285817.91783.368128.7153
60820846.23381036.2326-26.2326
61900831.649810.41721.232668.3507
62700709.514811.25-101.736-9.51389
63810808.368808.3330.03472221.63194
64970893.108808.33384.774376.8924
65820865.868809.16756.7014-45.8681
66740753.264807.917-54.6528-13.2639
67930911.389807.083104.30618.6111
68720758.993807.083-48.0903-38.9931
69580634.983808.333-173.351-54.9826
70800797.431806.25-8.819442.56944
71910887.118803.7583.368122.8819
72810837.899801.66736.2326-27.8993
73890822.483801.2521.232667.5174
74710700.347802.083-101.7369.65278
75830798.785798.750.034722231.2153
76900878.941794.16784.774321.059
77830849.201792.556.7014-19.2014
78680737.014791.667-54.6528-57.0139
79980893.472789.167104.30686.5278
80690738.16786.25-48.0903-48.1597
81530608.316781.667-173.351-78.316
82740770.347779.167-8.81944-30.3472
83930862.535779.16783.368167.4653
84770814.566778.33336.2326-44.566
85870799.566778.33321.232670.434
86660678.264780-101.736-18.2639
87770777.951777.9170.0347222-7.95139
88900859.77477584.774340.2257
89830832.118775.41756.7014-2.11806
90660725.347780-54.6528-65.3472
911000885.972781.667104.306114.028
92710730.66778.75-48.0903-20.6597
93460604.566777.917-173.351-144.566
94740770.764779.583-8.81944-30.7639
95940866.701783.33383.368173.2986
96870821.649785.41736.232648.3507
97810805.399784.16721.23264.60069
98650682.431784.167-101.736-32.4306
99760786.701786.6670.0347222-26.7014
100950870.191785.41784.774379.809
101870836.285779.58356.701433.7153
102670722.014776.667-54.6528-52.0139
103960NANA104.306NA
104750NANA-48.0903NA
105480NANA-173.351NA
106690NANA-8.81944NA
107850NANA83.3681NA
108890NANA36.2326NA



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
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')