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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 17 Aug 2014 11:11:13 +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/17/t1408270436h2itahnx9z5t1dz.htm/, Retrieved Thu, 16 May 2024 18:13:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235607, Retrieved Thu, 16 May 2024 18:13:33 +0000
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Original text written by user:
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Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-08-17 10:11:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
740
730
740
820
820
850
870
930
890
790
840
880
730
730
770
880
820
900
940
1080
920
710
880
910
680
740
740
810
800
900
920
1030
910
720
930
900
680
770
770
810
810
910
820
980
830
760
930
910
640
780
690
820
800
910
850
980
830
820
1010
930
630
760
670
850
780
900
840
1050
810
860
1020
820
670
780
690
800
810
910
870
1010
810
960
990
780
700
810
760
810
840
900
920
1050
860
870
880
860
650
830
730
810
840
940
870
940
770
870
860
760




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=235607&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=235607&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235607&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
1740NANA-169.058NA
2730NANA-66.6102NA
3740NANA-113.537NA
4820NANA-17.079NA
5820NANA-28.8498NA
6850NANA67.921NA
7870863.286824.58338.70236.71441
8930997.817824.167173.65-67.8168
9890842.348825.41716.931447.6519
10790799.952829.167-29.2144-9.95226
11840926.15831.66794.4835-86.1502
12880866.411833.7532.660613.5894
13730669.692838.75-169.05860.3082
14730781.306847.917-66.6102-51.3064
15770741.879855.417-113.53728.1207
16880836.254853.333-17.07943.7457
17820822.817851.667-28.8498-2.81684
18900922.504854.58367.921-22.5043
19940892.452853.7538.702347.5477
2010801025.73852.083173.6554.2665
21920868.181851.2516.931451.8186
22710817.869847.083-29.2144-107.869
23880937.817843.33394.4835-57.8168
24910875.161842.532.660634.8394
25680672.609841.667-169.0587.39149
26740772.14838.75-66.6102-32.1398
27740722.713836.25-113.53717.2873
28810819.171836.25-17.079-9.17101
29800809.9838.75-28.8498-9.90017
30900908.338840.41767.921-8.33767
31920878.70284038.702341.2977
3210301014.9841.25173.6515.0998
33910860.681843.7516.931449.3186
34720815.786845-29.2144-95.7856
35930939.9845.41794.4835-9.90017
36900878.911846.2532.660621.0894
37680673.442842.5-169.0586.55816
38770769.64836.25-66.61020.360243
39770717.296830.833-113.53752.704
40810812.088829.167-17.079-2.08767
41810801.984830.833-28.84988.01649
42910899.171831.2567.92110.829
43820868.70283038.7023-48.7023
449801002.4828.75173.65-22.4002
45830842.765825.83316.9314-12.7648
46760793.702822.917-29.2144-33.7023
47930917.4822.91794.483512.5998
48910855.161822.532.660654.8394
49640654.692823.75-169.058-14.6918
50780758.39825-66.610221.6102
51690711.463825-113.537-21.4627
52820810.421827.5-17.0799.57899
53800804.484833.333-28.8498-4.48351
54910905.421837.567.9214.57899
55850876.619837.91738.7023-26.6189
569801010.32836.667173.65-30.3168
57830851.93183516.9314-21.9314
58820806.202835.417-29.214413.7977
591010930.317835.83394.483579.6832
60930867.244834.58332.660662.7561
61630664.692833.75-169.058-34.6918
62760769.64836.25-66.6102-9.63976
63670724.796838.333-113.537-54.796
64850822.088839.167-17.07927.9123
65780812.4841.25-28.8498-32.4002
66900905.004837.08367.921-5.00434
67840872.869834.16738.7023-32.8689
6810501010.32836.667173.6539.6832
69810855.265838.33316.9314-45.2648
70860807.869837.083-29.214452.1311
711020930.734836.2594.483589.2665
72820870.577837.91732.6606-50.5773
73670670.525839.583-169.058-0.525174
74780772.556839.167-66.61027.44358
75690723.963837.5-113.537-33.9627
76800824.588841.667-17.079-24.5877
77810815.734844.583-28.8498-5.73351
78910909.588841.66767.9210.412326
79870879.952841.2538.7023-9.95226
8010101017.4843.75173.65-7.40017
81810864.848847.91716.9314-54.8481
82960822.036851.25-29.2144137.964
83990947.4852.91794.483542.5998
84780886.411853.7532.6606-106.411
85700686.359855.417-169.05813.6415
86810792.556859.167-66.610217.4436
87760749.379862.917-113.53710.6207
88810844.171861.25-17.079-34.171
89840824.067852.917-28.849815.9332
90900919.588851.66767.921-19.5877
91920891.619852.91738.702328.3811
9210501025.32851.667173.6524.6832
93860868.181851.2516.9314-8.18142
94870820.786850-29.214449.2144
95880944.48485094.4835-64.4835
96860884.327851.66732.6606-24.3273
97650682.192851.25-169.058-32.1918
98830777.973844.583-66.610252.0269
99730722.713836.25-113.5377.28733
100810815.421832.5-17.079-5.42101
101840802.817831.667-28.849837.1832
102940894.588826.66767.92145.4123
103870NANA38.7023NA
104940NANA173.65NA
105770NANA16.9314NA
106870NANA-29.2144NA
107860NANA94.4835NA
108760NANA32.6606NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 740 & NA & NA & -169.058 & NA \tabularnewline
2 & 730 & NA & NA & -66.6102 & NA \tabularnewline
3 & 740 & NA & NA & -113.537 & NA \tabularnewline
4 & 820 & NA & NA & -17.079 & NA \tabularnewline
5 & 820 & NA & NA & -28.8498 & NA \tabularnewline
6 & 850 & NA & NA & 67.921 & NA \tabularnewline
7 & 870 & 863.286 & 824.583 & 38.7023 & 6.71441 \tabularnewline
8 & 930 & 997.817 & 824.167 & 173.65 & -67.8168 \tabularnewline
9 & 890 & 842.348 & 825.417 & 16.9314 & 47.6519 \tabularnewline
10 & 790 & 799.952 & 829.167 & -29.2144 & -9.95226 \tabularnewline
11 & 840 & 926.15 & 831.667 & 94.4835 & -86.1502 \tabularnewline
12 & 880 & 866.411 & 833.75 & 32.6606 & 13.5894 \tabularnewline
13 & 730 & 669.692 & 838.75 & -169.058 & 60.3082 \tabularnewline
14 & 730 & 781.306 & 847.917 & -66.6102 & -51.3064 \tabularnewline
15 & 770 & 741.879 & 855.417 & -113.537 & 28.1207 \tabularnewline
16 & 880 & 836.254 & 853.333 & -17.079 & 43.7457 \tabularnewline
17 & 820 & 822.817 & 851.667 & -28.8498 & -2.81684 \tabularnewline
18 & 900 & 922.504 & 854.583 & 67.921 & -22.5043 \tabularnewline
19 & 940 & 892.452 & 853.75 & 38.7023 & 47.5477 \tabularnewline
20 & 1080 & 1025.73 & 852.083 & 173.65 & 54.2665 \tabularnewline
21 & 920 & 868.181 & 851.25 & 16.9314 & 51.8186 \tabularnewline
22 & 710 & 817.869 & 847.083 & -29.2144 & -107.869 \tabularnewline
23 & 880 & 937.817 & 843.333 & 94.4835 & -57.8168 \tabularnewline
24 & 910 & 875.161 & 842.5 & 32.6606 & 34.8394 \tabularnewline
25 & 680 & 672.609 & 841.667 & -169.058 & 7.39149 \tabularnewline
26 & 740 & 772.14 & 838.75 & -66.6102 & -32.1398 \tabularnewline
27 & 740 & 722.713 & 836.25 & -113.537 & 17.2873 \tabularnewline
28 & 810 & 819.171 & 836.25 & -17.079 & -9.17101 \tabularnewline
29 & 800 & 809.9 & 838.75 & -28.8498 & -9.90017 \tabularnewline
30 & 900 & 908.338 & 840.417 & 67.921 & -8.33767 \tabularnewline
31 & 920 & 878.702 & 840 & 38.7023 & 41.2977 \tabularnewline
32 & 1030 & 1014.9 & 841.25 & 173.65 & 15.0998 \tabularnewline
33 & 910 & 860.681 & 843.75 & 16.9314 & 49.3186 \tabularnewline
34 & 720 & 815.786 & 845 & -29.2144 & -95.7856 \tabularnewline
35 & 930 & 939.9 & 845.417 & 94.4835 & -9.90017 \tabularnewline
36 & 900 & 878.911 & 846.25 & 32.6606 & 21.0894 \tabularnewline
37 & 680 & 673.442 & 842.5 & -169.058 & 6.55816 \tabularnewline
38 & 770 & 769.64 & 836.25 & -66.6102 & 0.360243 \tabularnewline
39 & 770 & 717.296 & 830.833 & -113.537 & 52.704 \tabularnewline
40 & 810 & 812.088 & 829.167 & -17.079 & -2.08767 \tabularnewline
41 & 810 & 801.984 & 830.833 & -28.8498 & 8.01649 \tabularnewline
42 & 910 & 899.171 & 831.25 & 67.921 & 10.829 \tabularnewline
43 & 820 & 868.702 & 830 & 38.7023 & -48.7023 \tabularnewline
44 & 980 & 1002.4 & 828.75 & 173.65 & -22.4002 \tabularnewline
45 & 830 & 842.765 & 825.833 & 16.9314 & -12.7648 \tabularnewline
46 & 760 & 793.702 & 822.917 & -29.2144 & -33.7023 \tabularnewline
47 & 930 & 917.4 & 822.917 & 94.4835 & 12.5998 \tabularnewline
48 & 910 & 855.161 & 822.5 & 32.6606 & 54.8394 \tabularnewline
49 & 640 & 654.692 & 823.75 & -169.058 & -14.6918 \tabularnewline
50 & 780 & 758.39 & 825 & -66.6102 & 21.6102 \tabularnewline
51 & 690 & 711.463 & 825 & -113.537 & -21.4627 \tabularnewline
52 & 820 & 810.421 & 827.5 & -17.079 & 9.57899 \tabularnewline
53 & 800 & 804.484 & 833.333 & -28.8498 & -4.48351 \tabularnewline
54 & 910 & 905.421 & 837.5 & 67.921 & 4.57899 \tabularnewline
55 & 850 & 876.619 & 837.917 & 38.7023 & -26.6189 \tabularnewline
56 & 980 & 1010.32 & 836.667 & 173.65 & -30.3168 \tabularnewline
57 & 830 & 851.931 & 835 & 16.9314 & -21.9314 \tabularnewline
58 & 820 & 806.202 & 835.417 & -29.2144 & 13.7977 \tabularnewline
59 & 1010 & 930.317 & 835.833 & 94.4835 & 79.6832 \tabularnewline
60 & 930 & 867.244 & 834.583 & 32.6606 & 62.7561 \tabularnewline
61 & 630 & 664.692 & 833.75 & -169.058 & -34.6918 \tabularnewline
62 & 760 & 769.64 & 836.25 & -66.6102 & -9.63976 \tabularnewline
63 & 670 & 724.796 & 838.333 & -113.537 & -54.796 \tabularnewline
64 & 850 & 822.088 & 839.167 & -17.079 & 27.9123 \tabularnewline
65 & 780 & 812.4 & 841.25 & -28.8498 & -32.4002 \tabularnewline
66 & 900 & 905.004 & 837.083 & 67.921 & -5.00434 \tabularnewline
67 & 840 & 872.869 & 834.167 & 38.7023 & -32.8689 \tabularnewline
68 & 1050 & 1010.32 & 836.667 & 173.65 & 39.6832 \tabularnewline
69 & 810 & 855.265 & 838.333 & 16.9314 & -45.2648 \tabularnewline
70 & 860 & 807.869 & 837.083 & -29.2144 & 52.1311 \tabularnewline
71 & 1020 & 930.734 & 836.25 & 94.4835 & 89.2665 \tabularnewline
72 & 820 & 870.577 & 837.917 & 32.6606 & -50.5773 \tabularnewline
73 & 670 & 670.525 & 839.583 & -169.058 & -0.525174 \tabularnewline
74 & 780 & 772.556 & 839.167 & -66.6102 & 7.44358 \tabularnewline
75 & 690 & 723.963 & 837.5 & -113.537 & -33.9627 \tabularnewline
76 & 800 & 824.588 & 841.667 & -17.079 & -24.5877 \tabularnewline
77 & 810 & 815.734 & 844.583 & -28.8498 & -5.73351 \tabularnewline
78 & 910 & 909.588 & 841.667 & 67.921 & 0.412326 \tabularnewline
79 & 870 & 879.952 & 841.25 & 38.7023 & -9.95226 \tabularnewline
80 & 1010 & 1017.4 & 843.75 & 173.65 & -7.40017 \tabularnewline
81 & 810 & 864.848 & 847.917 & 16.9314 & -54.8481 \tabularnewline
82 & 960 & 822.036 & 851.25 & -29.2144 & 137.964 \tabularnewline
83 & 990 & 947.4 & 852.917 & 94.4835 & 42.5998 \tabularnewline
84 & 780 & 886.411 & 853.75 & 32.6606 & -106.411 \tabularnewline
85 & 700 & 686.359 & 855.417 & -169.058 & 13.6415 \tabularnewline
86 & 810 & 792.556 & 859.167 & -66.6102 & 17.4436 \tabularnewline
87 & 760 & 749.379 & 862.917 & -113.537 & 10.6207 \tabularnewline
88 & 810 & 844.171 & 861.25 & -17.079 & -34.171 \tabularnewline
89 & 840 & 824.067 & 852.917 & -28.8498 & 15.9332 \tabularnewline
90 & 900 & 919.588 & 851.667 & 67.921 & -19.5877 \tabularnewline
91 & 920 & 891.619 & 852.917 & 38.7023 & 28.3811 \tabularnewline
92 & 1050 & 1025.32 & 851.667 & 173.65 & 24.6832 \tabularnewline
93 & 860 & 868.181 & 851.25 & 16.9314 & -8.18142 \tabularnewline
94 & 870 & 820.786 & 850 & -29.2144 & 49.2144 \tabularnewline
95 & 880 & 944.484 & 850 & 94.4835 & -64.4835 \tabularnewline
96 & 860 & 884.327 & 851.667 & 32.6606 & -24.3273 \tabularnewline
97 & 650 & 682.192 & 851.25 & -169.058 & -32.1918 \tabularnewline
98 & 830 & 777.973 & 844.583 & -66.6102 & 52.0269 \tabularnewline
99 & 730 & 722.713 & 836.25 & -113.537 & 7.28733 \tabularnewline
100 & 810 & 815.421 & 832.5 & -17.079 & -5.42101 \tabularnewline
101 & 840 & 802.817 & 831.667 & -28.8498 & 37.1832 \tabularnewline
102 & 940 & 894.588 & 826.667 & 67.921 & 45.4123 \tabularnewline
103 & 870 & NA & NA & 38.7023 & NA \tabularnewline
104 & 940 & NA & NA & 173.65 & NA \tabularnewline
105 & 770 & NA & NA & 16.9314 & NA \tabularnewline
106 & 870 & NA & NA & -29.2144 & NA \tabularnewline
107 & 860 & NA & NA & 94.4835 & NA \tabularnewline
108 & 760 & NA & NA & 32.6606 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235607&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]740[/C][C]NA[/C][C]NA[/C][C]-169.058[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]730[/C][C]NA[/C][C]NA[/C][C]-66.6102[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]740[/C][C]NA[/C][C]NA[/C][C]-113.537[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]820[/C][C]NA[/C][C]NA[/C][C]-17.079[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]820[/C][C]NA[/C][C]NA[/C][C]-28.8498[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]850[/C][C]NA[/C][C]NA[/C][C]67.921[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]870[/C][C]863.286[/C][C]824.583[/C][C]38.7023[/C][C]6.71441[/C][/ROW]
[ROW][C]8[/C][C]930[/C][C]997.817[/C][C]824.167[/C][C]173.65[/C][C]-67.8168[/C][/ROW]
[ROW][C]9[/C][C]890[/C][C]842.348[/C][C]825.417[/C][C]16.9314[/C][C]47.6519[/C][/ROW]
[ROW][C]10[/C][C]790[/C][C]799.952[/C][C]829.167[/C][C]-29.2144[/C][C]-9.95226[/C][/ROW]
[ROW][C]11[/C][C]840[/C][C]926.15[/C][C]831.667[/C][C]94.4835[/C][C]-86.1502[/C][/ROW]
[ROW][C]12[/C][C]880[/C][C]866.411[/C][C]833.75[/C][C]32.6606[/C][C]13.5894[/C][/ROW]
[ROW][C]13[/C][C]730[/C][C]669.692[/C][C]838.75[/C][C]-169.058[/C][C]60.3082[/C][/ROW]
[ROW][C]14[/C][C]730[/C][C]781.306[/C][C]847.917[/C][C]-66.6102[/C][C]-51.3064[/C][/ROW]
[ROW][C]15[/C][C]770[/C][C]741.879[/C][C]855.417[/C][C]-113.537[/C][C]28.1207[/C][/ROW]
[ROW][C]16[/C][C]880[/C][C]836.254[/C][C]853.333[/C][C]-17.079[/C][C]43.7457[/C][/ROW]
[ROW][C]17[/C][C]820[/C][C]822.817[/C][C]851.667[/C][C]-28.8498[/C][C]-2.81684[/C][/ROW]
[ROW][C]18[/C][C]900[/C][C]922.504[/C][C]854.583[/C][C]67.921[/C][C]-22.5043[/C][/ROW]
[ROW][C]19[/C][C]940[/C][C]892.452[/C][C]853.75[/C][C]38.7023[/C][C]47.5477[/C][/ROW]
[ROW][C]20[/C][C]1080[/C][C]1025.73[/C][C]852.083[/C][C]173.65[/C][C]54.2665[/C][/ROW]
[ROW][C]21[/C][C]920[/C][C]868.181[/C][C]851.25[/C][C]16.9314[/C][C]51.8186[/C][/ROW]
[ROW][C]22[/C][C]710[/C][C]817.869[/C][C]847.083[/C][C]-29.2144[/C][C]-107.869[/C][/ROW]
[ROW][C]23[/C][C]880[/C][C]937.817[/C][C]843.333[/C][C]94.4835[/C][C]-57.8168[/C][/ROW]
[ROW][C]24[/C][C]910[/C][C]875.161[/C][C]842.5[/C][C]32.6606[/C][C]34.8394[/C][/ROW]
[ROW][C]25[/C][C]680[/C][C]672.609[/C][C]841.667[/C][C]-169.058[/C][C]7.39149[/C][/ROW]
[ROW][C]26[/C][C]740[/C][C]772.14[/C][C]838.75[/C][C]-66.6102[/C][C]-32.1398[/C][/ROW]
[ROW][C]27[/C][C]740[/C][C]722.713[/C][C]836.25[/C][C]-113.537[/C][C]17.2873[/C][/ROW]
[ROW][C]28[/C][C]810[/C][C]819.171[/C][C]836.25[/C][C]-17.079[/C][C]-9.17101[/C][/ROW]
[ROW][C]29[/C][C]800[/C][C]809.9[/C][C]838.75[/C][C]-28.8498[/C][C]-9.90017[/C][/ROW]
[ROW][C]30[/C][C]900[/C][C]908.338[/C][C]840.417[/C][C]67.921[/C][C]-8.33767[/C][/ROW]
[ROW][C]31[/C][C]920[/C][C]878.702[/C][C]840[/C][C]38.7023[/C][C]41.2977[/C][/ROW]
[ROW][C]32[/C][C]1030[/C][C]1014.9[/C][C]841.25[/C][C]173.65[/C][C]15.0998[/C][/ROW]
[ROW][C]33[/C][C]910[/C][C]860.681[/C][C]843.75[/C][C]16.9314[/C][C]49.3186[/C][/ROW]
[ROW][C]34[/C][C]720[/C][C]815.786[/C][C]845[/C][C]-29.2144[/C][C]-95.7856[/C][/ROW]
[ROW][C]35[/C][C]930[/C][C]939.9[/C][C]845.417[/C][C]94.4835[/C][C]-9.90017[/C][/ROW]
[ROW][C]36[/C][C]900[/C][C]878.911[/C][C]846.25[/C][C]32.6606[/C][C]21.0894[/C][/ROW]
[ROW][C]37[/C][C]680[/C][C]673.442[/C][C]842.5[/C][C]-169.058[/C][C]6.55816[/C][/ROW]
[ROW][C]38[/C][C]770[/C][C]769.64[/C][C]836.25[/C][C]-66.6102[/C][C]0.360243[/C][/ROW]
[ROW][C]39[/C][C]770[/C][C]717.296[/C][C]830.833[/C][C]-113.537[/C][C]52.704[/C][/ROW]
[ROW][C]40[/C][C]810[/C][C]812.088[/C][C]829.167[/C][C]-17.079[/C][C]-2.08767[/C][/ROW]
[ROW][C]41[/C][C]810[/C][C]801.984[/C][C]830.833[/C][C]-28.8498[/C][C]8.01649[/C][/ROW]
[ROW][C]42[/C][C]910[/C][C]899.171[/C][C]831.25[/C][C]67.921[/C][C]10.829[/C][/ROW]
[ROW][C]43[/C][C]820[/C][C]868.702[/C][C]830[/C][C]38.7023[/C][C]-48.7023[/C][/ROW]
[ROW][C]44[/C][C]980[/C][C]1002.4[/C][C]828.75[/C][C]173.65[/C][C]-22.4002[/C][/ROW]
[ROW][C]45[/C][C]830[/C][C]842.765[/C][C]825.833[/C][C]16.9314[/C][C]-12.7648[/C][/ROW]
[ROW][C]46[/C][C]760[/C][C]793.702[/C][C]822.917[/C][C]-29.2144[/C][C]-33.7023[/C][/ROW]
[ROW][C]47[/C][C]930[/C][C]917.4[/C][C]822.917[/C][C]94.4835[/C][C]12.5998[/C][/ROW]
[ROW][C]48[/C][C]910[/C][C]855.161[/C][C]822.5[/C][C]32.6606[/C][C]54.8394[/C][/ROW]
[ROW][C]49[/C][C]640[/C][C]654.692[/C][C]823.75[/C][C]-169.058[/C][C]-14.6918[/C][/ROW]
[ROW][C]50[/C][C]780[/C][C]758.39[/C][C]825[/C][C]-66.6102[/C][C]21.6102[/C][/ROW]
[ROW][C]51[/C][C]690[/C][C]711.463[/C][C]825[/C][C]-113.537[/C][C]-21.4627[/C][/ROW]
[ROW][C]52[/C][C]820[/C][C]810.421[/C][C]827.5[/C][C]-17.079[/C][C]9.57899[/C][/ROW]
[ROW][C]53[/C][C]800[/C][C]804.484[/C][C]833.333[/C][C]-28.8498[/C][C]-4.48351[/C][/ROW]
[ROW][C]54[/C][C]910[/C][C]905.421[/C][C]837.5[/C][C]67.921[/C][C]4.57899[/C][/ROW]
[ROW][C]55[/C][C]850[/C][C]876.619[/C][C]837.917[/C][C]38.7023[/C][C]-26.6189[/C][/ROW]
[ROW][C]56[/C][C]980[/C][C]1010.32[/C][C]836.667[/C][C]173.65[/C][C]-30.3168[/C][/ROW]
[ROW][C]57[/C][C]830[/C][C]851.931[/C][C]835[/C][C]16.9314[/C][C]-21.9314[/C][/ROW]
[ROW][C]58[/C][C]820[/C][C]806.202[/C][C]835.417[/C][C]-29.2144[/C][C]13.7977[/C][/ROW]
[ROW][C]59[/C][C]1010[/C][C]930.317[/C][C]835.833[/C][C]94.4835[/C][C]79.6832[/C][/ROW]
[ROW][C]60[/C][C]930[/C][C]867.244[/C][C]834.583[/C][C]32.6606[/C][C]62.7561[/C][/ROW]
[ROW][C]61[/C][C]630[/C][C]664.692[/C][C]833.75[/C][C]-169.058[/C][C]-34.6918[/C][/ROW]
[ROW][C]62[/C][C]760[/C][C]769.64[/C][C]836.25[/C][C]-66.6102[/C][C]-9.63976[/C][/ROW]
[ROW][C]63[/C][C]670[/C][C]724.796[/C][C]838.333[/C][C]-113.537[/C][C]-54.796[/C][/ROW]
[ROW][C]64[/C][C]850[/C][C]822.088[/C][C]839.167[/C][C]-17.079[/C][C]27.9123[/C][/ROW]
[ROW][C]65[/C][C]780[/C][C]812.4[/C][C]841.25[/C][C]-28.8498[/C][C]-32.4002[/C][/ROW]
[ROW][C]66[/C][C]900[/C][C]905.004[/C][C]837.083[/C][C]67.921[/C][C]-5.00434[/C][/ROW]
[ROW][C]67[/C][C]840[/C][C]872.869[/C][C]834.167[/C][C]38.7023[/C][C]-32.8689[/C][/ROW]
[ROW][C]68[/C][C]1050[/C][C]1010.32[/C][C]836.667[/C][C]173.65[/C][C]39.6832[/C][/ROW]
[ROW][C]69[/C][C]810[/C][C]855.265[/C][C]838.333[/C][C]16.9314[/C][C]-45.2648[/C][/ROW]
[ROW][C]70[/C][C]860[/C][C]807.869[/C][C]837.083[/C][C]-29.2144[/C][C]52.1311[/C][/ROW]
[ROW][C]71[/C][C]1020[/C][C]930.734[/C][C]836.25[/C][C]94.4835[/C][C]89.2665[/C][/ROW]
[ROW][C]72[/C][C]820[/C][C]870.577[/C][C]837.917[/C][C]32.6606[/C][C]-50.5773[/C][/ROW]
[ROW][C]73[/C][C]670[/C][C]670.525[/C][C]839.583[/C][C]-169.058[/C][C]-0.525174[/C][/ROW]
[ROW][C]74[/C][C]780[/C][C]772.556[/C][C]839.167[/C][C]-66.6102[/C][C]7.44358[/C][/ROW]
[ROW][C]75[/C][C]690[/C][C]723.963[/C][C]837.5[/C][C]-113.537[/C][C]-33.9627[/C][/ROW]
[ROW][C]76[/C][C]800[/C][C]824.588[/C][C]841.667[/C][C]-17.079[/C][C]-24.5877[/C][/ROW]
[ROW][C]77[/C][C]810[/C][C]815.734[/C][C]844.583[/C][C]-28.8498[/C][C]-5.73351[/C][/ROW]
[ROW][C]78[/C][C]910[/C][C]909.588[/C][C]841.667[/C][C]67.921[/C][C]0.412326[/C][/ROW]
[ROW][C]79[/C][C]870[/C][C]879.952[/C][C]841.25[/C][C]38.7023[/C][C]-9.95226[/C][/ROW]
[ROW][C]80[/C][C]1010[/C][C]1017.4[/C][C]843.75[/C][C]173.65[/C][C]-7.40017[/C][/ROW]
[ROW][C]81[/C][C]810[/C][C]864.848[/C][C]847.917[/C][C]16.9314[/C][C]-54.8481[/C][/ROW]
[ROW][C]82[/C][C]960[/C][C]822.036[/C][C]851.25[/C][C]-29.2144[/C][C]137.964[/C][/ROW]
[ROW][C]83[/C][C]990[/C][C]947.4[/C][C]852.917[/C][C]94.4835[/C][C]42.5998[/C][/ROW]
[ROW][C]84[/C][C]780[/C][C]886.411[/C][C]853.75[/C][C]32.6606[/C][C]-106.411[/C][/ROW]
[ROW][C]85[/C][C]700[/C][C]686.359[/C][C]855.417[/C][C]-169.058[/C][C]13.6415[/C][/ROW]
[ROW][C]86[/C][C]810[/C][C]792.556[/C][C]859.167[/C][C]-66.6102[/C][C]17.4436[/C][/ROW]
[ROW][C]87[/C][C]760[/C][C]749.379[/C][C]862.917[/C][C]-113.537[/C][C]10.6207[/C][/ROW]
[ROW][C]88[/C][C]810[/C][C]844.171[/C][C]861.25[/C][C]-17.079[/C][C]-34.171[/C][/ROW]
[ROW][C]89[/C][C]840[/C][C]824.067[/C][C]852.917[/C][C]-28.8498[/C][C]15.9332[/C][/ROW]
[ROW][C]90[/C][C]900[/C][C]919.588[/C][C]851.667[/C][C]67.921[/C][C]-19.5877[/C][/ROW]
[ROW][C]91[/C][C]920[/C][C]891.619[/C][C]852.917[/C][C]38.7023[/C][C]28.3811[/C][/ROW]
[ROW][C]92[/C][C]1050[/C][C]1025.32[/C][C]851.667[/C][C]173.65[/C][C]24.6832[/C][/ROW]
[ROW][C]93[/C][C]860[/C][C]868.181[/C][C]851.25[/C][C]16.9314[/C][C]-8.18142[/C][/ROW]
[ROW][C]94[/C][C]870[/C][C]820.786[/C][C]850[/C][C]-29.2144[/C][C]49.2144[/C][/ROW]
[ROW][C]95[/C][C]880[/C][C]944.484[/C][C]850[/C][C]94.4835[/C][C]-64.4835[/C][/ROW]
[ROW][C]96[/C][C]860[/C][C]884.327[/C][C]851.667[/C][C]32.6606[/C][C]-24.3273[/C][/ROW]
[ROW][C]97[/C][C]650[/C][C]682.192[/C][C]851.25[/C][C]-169.058[/C][C]-32.1918[/C][/ROW]
[ROW][C]98[/C][C]830[/C][C]777.973[/C][C]844.583[/C][C]-66.6102[/C][C]52.0269[/C][/ROW]
[ROW][C]99[/C][C]730[/C][C]722.713[/C][C]836.25[/C][C]-113.537[/C][C]7.28733[/C][/ROW]
[ROW][C]100[/C][C]810[/C][C]815.421[/C][C]832.5[/C][C]-17.079[/C][C]-5.42101[/C][/ROW]
[ROW][C]101[/C][C]840[/C][C]802.817[/C][C]831.667[/C][C]-28.8498[/C][C]37.1832[/C][/ROW]
[ROW][C]102[/C][C]940[/C][C]894.588[/C][C]826.667[/C][C]67.921[/C][C]45.4123[/C][/ROW]
[ROW][C]103[/C][C]870[/C][C]NA[/C][C]NA[/C][C]38.7023[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]940[/C][C]NA[/C][C]NA[/C][C]173.65[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]770[/C][C]NA[/C][C]NA[/C][C]16.9314[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]870[/C][C]NA[/C][C]NA[/C][C]-29.2144[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]860[/C][C]NA[/C][C]NA[/C][C]94.4835[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]760[/C][C]NA[/C][C]NA[/C][C]32.6606[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235607&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235607&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
1740NANA-169.058NA
2730NANA-66.6102NA
3740NANA-113.537NA
4820NANA-17.079NA
5820NANA-28.8498NA
6850NANA67.921NA
7870863.286824.58338.70236.71441
8930997.817824.167173.65-67.8168
9890842.348825.41716.931447.6519
10790799.952829.167-29.2144-9.95226
11840926.15831.66794.4835-86.1502
12880866.411833.7532.660613.5894
13730669.692838.75-169.05860.3082
14730781.306847.917-66.6102-51.3064
15770741.879855.417-113.53728.1207
16880836.254853.333-17.07943.7457
17820822.817851.667-28.8498-2.81684
18900922.504854.58367.921-22.5043
19940892.452853.7538.702347.5477
2010801025.73852.083173.6554.2665
21920868.181851.2516.931451.8186
22710817.869847.083-29.2144-107.869
23880937.817843.33394.4835-57.8168
24910875.161842.532.660634.8394
25680672.609841.667-169.0587.39149
26740772.14838.75-66.6102-32.1398
27740722.713836.25-113.53717.2873
28810819.171836.25-17.079-9.17101
29800809.9838.75-28.8498-9.90017
30900908.338840.41767.921-8.33767
31920878.70284038.702341.2977
3210301014.9841.25173.6515.0998
33910860.681843.7516.931449.3186
34720815.786845-29.2144-95.7856
35930939.9845.41794.4835-9.90017
36900878.911846.2532.660621.0894
37680673.442842.5-169.0586.55816
38770769.64836.25-66.61020.360243
39770717.296830.833-113.53752.704
40810812.088829.167-17.079-2.08767
41810801.984830.833-28.84988.01649
42910899.171831.2567.92110.829
43820868.70283038.7023-48.7023
449801002.4828.75173.65-22.4002
45830842.765825.83316.9314-12.7648
46760793.702822.917-29.2144-33.7023
47930917.4822.91794.483512.5998
48910855.161822.532.660654.8394
49640654.692823.75-169.058-14.6918
50780758.39825-66.610221.6102
51690711.463825-113.537-21.4627
52820810.421827.5-17.0799.57899
53800804.484833.333-28.8498-4.48351
54910905.421837.567.9214.57899
55850876.619837.91738.7023-26.6189
569801010.32836.667173.65-30.3168
57830851.93183516.9314-21.9314
58820806.202835.417-29.214413.7977
591010930.317835.83394.483579.6832
60930867.244834.58332.660662.7561
61630664.692833.75-169.058-34.6918
62760769.64836.25-66.6102-9.63976
63670724.796838.333-113.537-54.796
64850822.088839.167-17.07927.9123
65780812.4841.25-28.8498-32.4002
66900905.004837.08367.921-5.00434
67840872.869834.16738.7023-32.8689
6810501010.32836.667173.6539.6832
69810855.265838.33316.9314-45.2648
70860807.869837.083-29.214452.1311
711020930.734836.2594.483589.2665
72820870.577837.91732.6606-50.5773
73670670.525839.583-169.058-0.525174
74780772.556839.167-66.61027.44358
75690723.963837.5-113.537-33.9627
76800824.588841.667-17.079-24.5877
77810815.734844.583-28.8498-5.73351
78910909.588841.66767.9210.412326
79870879.952841.2538.7023-9.95226
8010101017.4843.75173.65-7.40017
81810864.848847.91716.9314-54.8481
82960822.036851.25-29.2144137.964
83990947.4852.91794.483542.5998
84780886.411853.7532.6606-106.411
85700686.359855.417-169.05813.6415
86810792.556859.167-66.610217.4436
87760749.379862.917-113.53710.6207
88810844.171861.25-17.079-34.171
89840824.067852.917-28.849815.9332
90900919.588851.66767.921-19.5877
91920891.619852.91738.702328.3811
9210501025.32851.667173.6524.6832
93860868.181851.2516.9314-8.18142
94870820.786850-29.214449.2144
95880944.48485094.4835-64.4835
96860884.327851.66732.6606-24.3273
97650682.192851.25-169.058-32.1918
98830777.973844.583-66.610252.0269
99730722.713836.25-113.5377.28733
100810815.421832.5-17.079-5.42101
101840802.817831.667-28.849837.1832
102940894.588826.66767.92145.4123
103870NANA38.7023NA
104940NANA173.65NA
105770NANA16.9314NA
106870NANA-29.2144NA
107860NANA94.4835NA
108760NANA32.6606NA



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