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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 15 Dec 2014 08:24:05 +0000
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/Dec/15/t14186318691be7gf162u2z9w0.htm/, Retrieved Thu, 16 May 2024 08:19:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267953, Retrieved Thu, 16 May 2024 08:19:51 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-12-15 08:24:05] [6baf0af87d9d8aa2cb91b54f39a0a5b0] [Current]
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Dataseries X:
50
62
54
71
54
65
73
52
84
42
66
65
78
73
75
72
66
70
61
81
71
69
71
72
68
70
68
61
67
76
70
60
72
69
71
62
70
64
58
76
52
59
68
76
65
67
59
69
76
63
75
63
60
73
63
70
75
66
63
63
64
70
75
61
60
62
73
61
66
64
59
64
60
56
78
53
67
59
66
68
71
66
73
72
71
59
64
66
78
68
73
62
65
68
65
60
71
65
68
64
74
69
76
68
72
67
63
59
73
66
62
69
66




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267953&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267953&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267953&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'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
150NANA2.73143NA
262NANA-2.11753NA
354NANA2.98664NA
471NANA-2.70607NA
554NANA-1.82065NA
665NANA-0.273775NA
77365.170762.66672.5047.82933
85263.892964.2917-0.398775-11.8929
98469.948465.6254.3234514.0516
104263.837366.5417-2.70433-21.8373
116665.66667.0833-1.417290.33396
126566.684667.7917-1.10711-1.68456
137870.231467.52.731437.76857
147366.090868.2083-2.117536.90919
157571.861668.8752.986643.13836
167266.752369.4583-2.706075.24773
176668.97170.7917-1.82065-2.97102
187071.017971.2917-0.273775-1.01789
196173.670771.16672.504-12.6707
208170.226270.625-0.39877510.7738
217174.531870.20834.32345-3.53178
226966.75469.4583-2.704332.246
237167.624469.0417-1.417293.37563
247268.226269.3333-1.107113.77378
256872.689869.95832.73143-4.68977
267067.340869.4583-2.117532.65919
276871.611668.6252.98664-3.61164
286165.960668.6667-2.70607-4.9606
296766.84668.6667-1.820650.153983
307667.976268.25-0.2737758.02378
317070.420767.91672.504-0.420669
326067.351267.75-0.398775-7.35122
337271.406867.08334.323450.59322
346964.587367.2917-2.704334.41266
357165.874467.2917-1.417295.12563
366264.851265.9583-1.10711-2.85122
377067.898165.16672.731432.1019
386463.632565.75-2.117530.367525
395869.111666.1252.98664-11.1116
407663.043965.75-2.7060712.9561
415263.34665.1667-1.82065-11.346
425964.684664.9583-0.273775-5.68456
436868.00465.52.504-0.0040027
447665.309665.7083-0.39877510.6904
456570.698466.3754.32345-5.69845
466763.837366.5417-2.704333.16266
475964.91666.3333-1.41729-5.91604
486966.142967.25-1.107112.85711
497670.356467.6252.731435.64357
506365.049167.1667-2.11753-2.04914
517570.3267.33332.986644.68003
526365.002367.7083-2.70607-2.00227
536066.012767.8333-1.82065-6.01268
547367.476267.75-0.2737755.52378
556369.504672.504-6.504
567066.392966.7917-0.3987753.60711
577571.406867.08334.323453.59322
586664.295767-2.704331.70433
596365.499466.9167-1.41729-2.49937
606365.351266.4583-1.10711-2.35122
616469.148166.41672.73143-5.1481
627064.340866.4583-2.117535.65919
637568.69565.70832.986646.30503
646162.543965.25-2.70607-1.54393
656063.179365-1.82065-3.17935
666264.601264.875-0.273775-2.60122
677367.25464.752.5045.746
686163.601264-0.398775-2.60122
696667.865163.54174.32345-1.86511
706460.62963.3333-2.704333.371
715961.874463.2917-1.41729-2.87437
726462.351263.4583-1.107111.64878
736065.773163.04172.73143-5.7731
745660.924163.0417-2.11753-4.92414
757866.528363.54172.9866411.4717
765361.127363.8333-2.70607-8.12727
776762.679364.5-1.820654.32065
785965.142965.4167-0.273775-6.14289
796668.712366.20832.504-2.71234
806866.392966.7917-0.3987751.60711
817170.656866.33334.323450.34322
826663.587366.2917-2.704332.41266
837365.874467.2917-1.417297.12563
847267.017968.125-1.107114.98211
857171.523168.79172.73143-0.5231
865966.715868.8333-2.11753-7.71581
876471.3268.33332.98664-7.31997
886665.460668.1667-2.706070.5394
897866.09667.9167-1.8206511.904
906866.809667.0833-0.2737751.19044
917369.087366.58332.5043.91266
926266.434666.8333-0.398775-4.43456
936571.573467.254.32345-6.57345
946864.62967.3333-2.704333.371
956565.66667.0833-1.41729-0.66604
966065.851266.9583-1.10711-5.85122
977169.856467.1252.731431.14357
986565.382567.5-2.11753-0.382475
996871.028368.04172.98664-3.02831
1006465.585668.2917-2.70607-1.5856
1017466.34668.1667-1.820657.65398
1026967.767968.0417-0.2737751.23211
1037670.587368.08332.5045.41266
1046867.809668.2083-0.3987750.190442
1057272.3234684.32345-0.323447
1066765.25467.9583-2.704331.746
1076366.41667.8333-1.41729-3.41604
10859NANA-1.10711NA
10973NANA2.73143NA
11066NANA-2.11753NA
11162NANA2.98664NA
11269NANA-2.70607NA
11366NANA-1.82065NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 50 & NA & NA & 2.73143 & NA \tabularnewline
2 & 62 & NA & NA & -2.11753 & NA \tabularnewline
3 & 54 & NA & NA & 2.98664 & NA \tabularnewline
4 & 71 & NA & NA & -2.70607 & NA \tabularnewline
5 & 54 & NA & NA & -1.82065 & NA \tabularnewline
6 & 65 & NA & NA & -0.273775 & NA \tabularnewline
7 & 73 & 65.1707 & 62.6667 & 2.504 & 7.82933 \tabularnewline
8 & 52 & 63.8929 & 64.2917 & -0.398775 & -11.8929 \tabularnewline
9 & 84 & 69.9484 & 65.625 & 4.32345 & 14.0516 \tabularnewline
10 & 42 & 63.8373 & 66.5417 & -2.70433 & -21.8373 \tabularnewline
11 & 66 & 65.666 & 67.0833 & -1.41729 & 0.33396 \tabularnewline
12 & 65 & 66.6846 & 67.7917 & -1.10711 & -1.68456 \tabularnewline
13 & 78 & 70.2314 & 67.5 & 2.73143 & 7.76857 \tabularnewline
14 & 73 & 66.0908 & 68.2083 & -2.11753 & 6.90919 \tabularnewline
15 & 75 & 71.8616 & 68.875 & 2.98664 & 3.13836 \tabularnewline
16 & 72 & 66.7523 & 69.4583 & -2.70607 & 5.24773 \tabularnewline
17 & 66 & 68.971 & 70.7917 & -1.82065 & -2.97102 \tabularnewline
18 & 70 & 71.0179 & 71.2917 & -0.273775 & -1.01789 \tabularnewline
19 & 61 & 73.6707 & 71.1667 & 2.504 & -12.6707 \tabularnewline
20 & 81 & 70.2262 & 70.625 & -0.398775 & 10.7738 \tabularnewline
21 & 71 & 74.5318 & 70.2083 & 4.32345 & -3.53178 \tabularnewline
22 & 69 & 66.754 & 69.4583 & -2.70433 & 2.246 \tabularnewline
23 & 71 & 67.6244 & 69.0417 & -1.41729 & 3.37563 \tabularnewline
24 & 72 & 68.2262 & 69.3333 & -1.10711 & 3.77378 \tabularnewline
25 & 68 & 72.6898 & 69.9583 & 2.73143 & -4.68977 \tabularnewline
26 & 70 & 67.3408 & 69.4583 & -2.11753 & 2.65919 \tabularnewline
27 & 68 & 71.6116 & 68.625 & 2.98664 & -3.61164 \tabularnewline
28 & 61 & 65.9606 & 68.6667 & -2.70607 & -4.9606 \tabularnewline
29 & 67 & 66.846 & 68.6667 & -1.82065 & 0.153983 \tabularnewline
30 & 76 & 67.9762 & 68.25 & -0.273775 & 8.02378 \tabularnewline
31 & 70 & 70.4207 & 67.9167 & 2.504 & -0.420669 \tabularnewline
32 & 60 & 67.3512 & 67.75 & -0.398775 & -7.35122 \tabularnewline
33 & 72 & 71.4068 & 67.0833 & 4.32345 & 0.59322 \tabularnewline
34 & 69 & 64.5873 & 67.2917 & -2.70433 & 4.41266 \tabularnewline
35 & 71 & 65.8744 & 67.2917 & -1.41729 & 5.12563 \tabularnewline
36 & 62 & 64.8512 & 65.9583 & -1.10711 & -2.85122 \tabularnewline
37 & 70 & 67.8981 & 65.1667 & 2.73143 & 2.1019 \tabularnewline
38 & 64 & 63.6325 & 65.75 & -2.11753 & 0.367525 \tabularnewline
39 & 58 & 69.1116 & 66.125 & 2.98664 & -11.1116 \tabularnewline
40 & 76 & 63.0439 & 65.75 & -2.70607 & 12.9561 \tabularnewline
41 & 52 & 63.346 & 65.1667 & -1.82065 & -11.346 \tabularnewline
42 & 59 & 64.6846 & 64.9583 & -0.273775 & -5.68456 \tabularnewline
43 & 68 & 68.004 & 65.5 & 2.504 & -0.0040027 \tabularnewline
44 & 76 & 65.3096 & 65.7083 & -0.398775 & 10.6904 \tabularnewline
45 & 65 & 70.6984 & 66.375 & 4.32345 & -5.69845 \tabularnewline
46 & 67 & 63.8373 & 66.5417 & -2.70433 & 3.16266 \tabularnewline
47 & 59 & 64.916 & 66.3333 & -1.41729 & -5.91604 \tabularnewline
48 & 69 & 66.1429 & 67.25 & -1.10711 & 2.85711 \tabularnewline
49 & 76 & 70.3564 & 67.625 & 2.73143 & 5.64357 \tabularnewline
50 & 63 & 65.0491 & 67.1667 & -2.11753 & -2.04914 \tabularnewline
51 & 75 & 70.32 & 67.3333 & 2.98664 & 4.68003 \tabularnewline
52 & 63 & 65.0023 & 67.7083 & -2.70607 & -2.00227 \tabularnewline
53 & 60 & 66.0127 & 67.8333 & -1.82065 & -6.01268 \tabularnewline
54 & 73 & 67.4762 & 67.75 & -0.273775 & 5.52378 \tabularnewline
55 & 63 & 69.504 & 67 & 2.504 & -6.504 \tabularnewline
56 & 70 & 66.3929 & 66.7917 & -0.398775 & 3.60711 \tabularnewline
57 & 75 & 71.4068 & 67.0833 & 4.32345 & 3.59322 \tabularnewline
58 & 66 & 64.2957 & 67 & -2.70433 & 1.70433 \tabularnewline
59 & 63 & 65.4994 & 66.9167 & -1.41729 & -2.49937 \tabularnewline
60 & 63 & 65.3512 & 66.4583 & -1.10711 & -2.35122 \tabularnewline
61 & 64 & 69.1481 & 66.4167 & 2.73143 & -5.1481 \tabularnewline
62 & 70 & 64.3408 & 66.4583 & -2.11753 & 5.65919 \tabularnewline
63 & 75 & 68.695 & 65.7083 & 2.98664 & 6.30503 \tabularnewline
64 & 61 & 62.5439 & 65.25 & -2.70607 & -1.54393 \tabularnewline
65 & 60 & 63.1793 & 65 & -1.82065 & -3.17935 \tabularnewline
66 & 62 & 64.6012 & 64.875 & -0.273775 & -2.60122 \tabularnewline
67 & 73 & 67.254 & 64.75 & 2.504 & 5.746 \tabularnewline
68 & 61 & 63.6012 & 64 & -0.398775 & -2.60122 \tabularnewline
69 & 66 & 67.8651 & 63.5417 & 4.32345 & -1.86511 \tabularnewline
70 & 64 & 60.629 & 63.3333 & -2.70433 & 3.371 \tabularnewline
71 & 59 & 61.8744 & 63.2917 & -1.41729 & -2.87437 \tabularnewline
72 & 64 & 62.3512 & 63.4583 & -1.10711 & 1.64878 \tabularnewline
73 & 60 & 65.7731 & 63.0417 & 2.73143 & -5.7731 \tabularnewline
74 & 56 & 60.9241 & 63.0417 & -2.11753 & -4.92414 \tabularnewline
75 & 78 & 66.5283 & 63.5417 & 2.98664 & 11.4717 \tabularnewline
76 & 53 & 61.1273 & 63.8333 & -2.70607 & -8.12727 \tabularnewline
77 & 67 & 62.6793 & 64.5 & -1.82065 & 4.32065 \tabularnewline
78 & 59 & 65.1429 & 65.4167 & -0.273775 & -6.14289 \tabularnewline
79 & 66 & 68.7123 & 66.2083 & 2.504 & -2.71234 \tabularnewline
80 & 68 & 66.3929 & 66.7917 & -0.398775 & 1.60711 \tabularnewline
81 & 71 & 70.6568 & 66.3333 & 4.32345 & 0.34322 \tabularnewline
82 & 66 & 63.5873 & 66.2917 & -2.70433 & 2.41266 \tabularnewline
83 & 73 & 65.8744 & 67.2917 & -1.41729 & 7.12563 \tabularnewline
84 & 72 & 67.0179 & 68.125 & -1.10711 & 4.98211 \tabularnewline
85 & 71 & 71.5231 & 68.7917 & 2.73143 & -0.5231 \tabularnewline
86 & 59 & 66.7158 & 68.8333 & -2.11753 & -7.71581 \tabularnewline
87 & 64 & 71.32 & 68.3333 & 2.98664 & -7.31997 \tabularnewline
88 & 66 & 65.4606 & 68.1667 & -2.70607 & 0.5394 \tabularnewline
89 & 78 & 66.096 & 67.9167 & -1.82065 & 11.904 \tabularnewline
90 & 68 & 66.8096 & 67.0833 & -0.273775 & 1.19044 \tabularnewline
91 & 73 & 69.0873 & 66.5833 & 2.504 & 3.91266 \tabularnewline
92 & 62 & 66.4346 & 66.8333 & -0.398775 & -4.43456 \tabularnewline
93 & 65 & 71.5734 & 67.25 & 4.32345 & -6.57345 \tabularnewline
94 & 68 & 64.629 & 67.3333 & -2.70433 & 3.371 \tabularnewline
95 & 65 & 65.666 & 67.0833 & -1.41729 & -0.66604 \tabularnewline
96 & 60 & 65.8512 & 66.9583 & -1.10711 & -5.85122 \tabularnewline
97 & 71 & 69.8564 & 67.125 & 2.73143 & 1.14357 \tabularnewline
98 & 65 & 65.3825 & 67.5 & -2.11753 & -0.382475 \tabularnewline
99 & 68 & 71.0283 & 68.0417 & 2.98664 & -3.02831 \tabularnewline
100 & 64 & 65.5856 & 68.2917 & -2.70607 & -1.5856 \tabularnewline
101 & 74 & 66.346 & 68.1667 & -1.82065 & 7.65398 \tabularnewline
102 & 69 & 67.7679 & 68.0417 & -0.273775 & 1.23211 \tabularnewline
103 & 76 & 70.5873 & 68.0833 & 2.504 & 5.41266 \tabularnewline
104 & 68 & 67.8096 & 68.2083 & -0.398775 & 0.190442 \tabularnewline
105 & 72 & 72.3234 & 68 & 4.32345 & -0.323447 \tabularnewline
106 & 67 & 65.254 & 67.9583 & -2.70433 & 1.746 \tabularnewline
107 & 63 & 66.416 & 67.8333 & -1.41729 & -3.41604 \tabularnewline
108 & 59 & NA & NA & -1.10711 & NA \tabularnewline
109 & 73 & NA & NA & 2.73143 & NA \tabularnewline
110 & 66 & NA & NA & -2.11753 & NA \tabularnewline
111 & 62 & NA & NA & 2.98664 & NA \tabularnewline
112 & 69 & NA & NA & -2.70607 & NA \tabularnewline
113 & 66 & NA & NA & -1.82065 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267953&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]50[/C][C]NA[/C][C]NA[/C][C]2.73143[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]62[/C][C]NA[/C][C]NA[/C][C]-2.11753[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]54[/C][C]NA[/C][C]NA[/C][C]2.98664[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]71[/C][C]NA[/C][C]NA[/C][C]-2.70607[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]54[/C][C]NA[/C][C]NA[/C][C]-1.82065[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]65[/C][C]NA[/C][C]NA[/C][C]-0.273775[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]73[/C][C]65.1707[/C][C]62.6667[/C][C]2.504[/C][C]7.82933[/C][/ROW]
[ROW][C]8[/C][C]52[/C][C]63.8929[/C][C]64.2917[/C][C]-0.398775[/C][C]-11.8929[/C][/ROW]
[ROW][C]9[/C][C]84[/C][C]69.9484[/C][C]65.625[/C][C]4.32345[/C][C]14.0516[/C][/ROW]
[ROW][C]10[/C][C]42[/C][C]63.8373[/C][C]66.5417[/C][C]-2.70433[/C][C]-21.8373[/C][/ROW]
[ROW][C]11[/C][C]66[/C][C]65.666[/C][C]67.0833[/C][C]-1.41729[/C][C]0.33396[/C][/ROW]
[ROW][C]12[/C][C]65[/C][C]66.6846[/C][C]67.7917[/C][C]-1.10711[/C][C]-1.68456[/C][/ROW]
[ROW][C]13[/C][C]78[/C][C]70.2314[/C][C]67.5[/C][C]2.73143[/C][C]7.76857[/C][/ROW]
[ROW][C]14[/C][C]73[/C][C]66.0908[/C][C]68.2083[/C][C]-2.11753[/C][C]6.90919[/C][/ROW]
[ROW][C]15[/C][C]75[/C][C]71.8616[/C][C]68.875[/C][C]2.98664[/C][C]3.13836[/C][/ROW]
[ROW][C]16[/C][C]72[/C][C]66.7523[/C][C]69.4583[/C][C]-2.70607[/C][C]5.24773[/C][/ROW]
[ROW][C]17[/C][C]66[/C][C]68.971[/C][C]70.7917[/C][C]-1.82065[/C][C]-2.97102[/C][/ROW]
[ROW][C]18[/C][C]70[/C][C]71.0179[/C][C]71.2917[/C][C]-0.273775[/C][C]-1.01789[/C][/ROW]
[ROW][C]19[/C][C]61[/C][C]73.6707[/C][C]71.1667[/C][C]2.504[/C][C]-12.6707[/C][/ROW]
[ROW][C]20[/C][C]81[/C][C]70.2262[/C][C]70.625[/C][C]-0.398775[/C][C]10.7738[/C][/ROW]
[ROW][C]21[/C][C]71[/C][C]74.5318[/C][C]70.2083[/C][C]4.32345[/C][C]-3.53178[/C][/ROW]
[ROW][C]22[/C][C]69[/C][C]66.754[/C][C]69.4583[/C][C]-2.70433[/C][C]2.246[/C][/ROW]
[ROW][C]23[/C][C]71[/C][C]67.6244[/C][C]69.0417[/C][C]-1.41729[/C][C]3.37563[/C][/ROW]
[ROW][C]24[/C][C]72[/C][C]68.2262[/C][C]69.3333[/C][C]-1.10711[/C][C]3.77378[/C][/ROW]
[ROW][C]25[/C][C]68[/C][C]72.6898[/C][C]69.9583[/C][C]2.73143[/C][C]-4.68977[/C][/ROW]
[ROW][C]26[/C][C]70[/C][C]67.3408[/C][C]69.4583[/C][C]-2.11753[/C][C]2.65919[/C][/ROW]
[ROW][C]27[/C][C]68[/C][C]71.6116[/C][C]68.625[/C][C]2.98664[/C][C]-3.61164[/C][/ROW]
[ROW][C]28[/C][C]61[/C][C]65.9606[/C][C]68.6667[/C][C]-2.70607[/C][C]-4.9606[/C][/ROW]
[ROW][C]29[/C][C]67[/C][C]66.846[/C][C]68.6667[/C][C]-1.82065[/C][C]0.153983[/C][/ROW]
[ROW][C]30[/C][C]76[/C][C]67.9762[/C][C]68.25[/C][C]-0.273775[/C][C]8.02378[/C][/ROW]
[ROW][C]31[/C][C]70[/C][C]70.4207[/C][C]67.9167[/C][C]2.504[/C][C]-0.420669[/C][/ROW]
[ROW][C]32[/C][C]60[/C][C]67.3512[/C][C]67.75[/C][C]-0.398775[/C][C]-7.35122[/C][/ROW]
[ROW][C]33[/C][C]72[/C][C]71.4068[/C][C]67.0833[/C][C]4.32345[/C][C]0.59322[/C][/ROW]
[ROW][C]34[/C][C]69[/C][C]64.5873[/C][C]67.2917[/C][C]-2.70433[/C][C]4.41266[/C][/ROW]
[ROW][C]35[/C][C]71[/C][C]65.8744[/C][C]67.2917[/C][C]-1.41729[/C][C]5.12563[/C][/ROW]
[ROW][C]36[/C][C]62[/C][C]64.8512[/C][C]65.9583[/C][C]-1.10711[/C][C]-2.85122[/C][/ROW]
[ROW][C]37[/C][C]70[/C][C]67.8981[/C][C]65.1667[/C][C]2.73143[/C][C]2.1019[/C][/ROW]
[ROW][C]38[/C][C]64[/C][C]63.6325[/C][C]65.75[/C][C]-2.11753[/C][C]0.367525[/C][/ROW]
[ROW][C]39[/C][C]58[/C][C]69.1116[/C][C]66.125[/C][C]2.98664[/C][C]-11.1116[/C][/ROW]
[ROW][C]40[/C][C]76[/C][C]63.0439[/C][C]65.75[/C][C]-2.70607[/C][C]12.9561[/C][/ROW]
[ROW][C]41[/C][C]52[/C][C]63.346[/C][C]65.1667[/C][C]-1.82065[/C][C]-11.346[/C][/ROW]
[ROW][C]42[/C][C]59[/C][C]64.6846[/C][C]64.9583[/C][C]-0.273775[/C][C]-5.68456[/C][/ROW]
[ROW][C]43[/C][C]68[/C][C]68.004[/C][C]65.5[/C][C]2.504[/C][C]-0.0040027[/C][/ROW]
[ROW][C]44[/C][C]76[/C][C]65.3096[/C][C]65.7083[/C][C]-0.398775[/C][C]10.6904[/C][/ROW]
[ROW][C]45[/C][C]65[/C][C]70.6984[/C][C]66.375[/C][C]4.32345[/C][C]-5.69845[/C][/ROW]
[ROW][C]46[/C][C]67[/C][C]63.8373[/C][C]66.5417[/C][C]-2.70433[/C][C]3.16266[/C][/ROW]
[ROW][C]47[/C][C]59[/C][C]64.916[/C][C]66.3333[/C][C]-1.41729[/C][C]-5.91604[/C][/ROW]
[ROW][C]48[/C][C]69[/C][C]66.1429[/C][C]67.25[/C][C]-1.10711[/C][C]2.85711[/C][/ROW]
[ROW][C]49[/C][C]76[/C][C]70.3564[/C][C]67.625[/C][C]2.73143[/C][C]5.64357[/C][/ROW]
[ROW][C]50[/C][C]63[/C][C]65.0491[/C][C]67.1667[/C][C]-2.11753[/C][C]-2.04914[/C][/ROW]
[ROW][C]51[/C][C]75[/C][C]70.32[/C][C]67.3333[/C][C]2.98664[/C][C]4.68003[/C][/ROW]
[ROW][C]52[/C][C]63[/C][C]65.0023[/C][C]67.7083[/C][C]-2.70607[/C][C]-2.00227[/C][/ROW]
[ROW][C]53[/C][C]60[/C][C]66.0127[/C][C]67.8333[/C][C]-1.82065[/C][C]-6.01268[/C][/ROW]
[ROW][C]54[/C][C]73[/C][C]67.4762[/C][C]67.75[/C][C]-0.273775[/C][C]5.52378[/C][/ROW]
[ROW][C]55[/C][C]63[/C][C]69.504[/C][C]67[/C][C]2.504[/C][C]-6.504[/C][/ROW]
[ROW][C]56[/C][C]70[/C][C]66.3929[/C][C]66.7917[/C][C]-0.398775[/C][C]3.60711[/C][/ROW]
[ROW][C]57[/C][C]75[/C][C]71.4068[/C][C]67.0833[/C][C]4.32345[/C][C]3.59322[/C][/ROW]
[ROW][C]58[/C][C]66[/C][C]64.2957[/C][C]67[/C][C]-2.70433[/C][C]1.70433[/C][/ROW]
[ROW][C]59[/C][C]63[/C][C]65.4994[/C][C]66.9167[/C][C]-1.41729[/C][C]-2.49937[/C][/ROW]
[ROW][C]60[/C][C]63[/C][C]65.3512[/C][C]66.4583[/C][C]-1.10711[/C][C]-2.35122[/C][/ROW]
[ROW][C]61[/C][C]64[/C][C]69.1481[/C][C]66.4167[/C][C]2.73143[/C][C]-5.1481[/C][/ROW]
[ROW][C]62[/C][C]70[/C][C]64.3408[/C][C]66.4583[/C][C]-2.11753[/C][C]5.65919[/C][/ROW]
[ROW][C]63[/C][C]75[/C][C]68.695[/C][C]65.7083[/C][C]2.98664[/C][C]6.30503[/C][/ROW]
[ROW][C]64[/C][C]61[/C][C]62.5439[/C][C]65.25[/C][C]-2.70607[/C][C]-1.54393[/C][/ROW]
[ROW][C]65[/C][C]60[/C][C]63.1793[/C][C]65[/C][C]-1.82065[/C][C]-3.17935[/C][/ROW]
[ROW][C]66[/C][C]62[/C][C]64.6012[/C][C]64.875[/C][C]-0.273775[/C][C]-2.60122[/C][/ROW]
[ROW][C]67[/C][C]73[/C][C]67.254[/C][C]64.75[/C][C]2.504[/C][C]5.746[/C][/ROW]
[ROW][C]68[/C][C]61[/C][C]63.6012[/C][C]64[/C][C]-0.398775[/C][C]-2.60122[/C][/ROW]
[ROW][C]69[/C][C]66[/C][C]67.8651[/C][C]63.5417[/C][C]4.32345[/C][C]-1.86511[/C][/ROW]
[ROW][C]70[/C][C]64[/C][C]60.629[/C][C]63.3333[/C][C]-2.70433[/C][C]3.371[/C][/ROW]
[ROW][C]71[/C][C]59[/C][C]61.8744[/C][C]63.2917[/C][C]-1.41729[/C][C]-2.87437[/C][/ROW]
[ROW][C]72[/C][C]64[/C][C]62.3512[/C][C]63.4583[/C][C]-1.10711[/C][C]1.64878[/C][/ROW]
[ROW][C]73[/C][C]60[/C][C]65.7731[/C][C]63.0417[/C][C]2.73143[/C][C]-5.7731[/C][/ROW]
[ROW][C]74[/C][C]56[/C][C]60.9241[/C][C]63.0417[/C][C]-2.11753[/C][C]-4.92414[/C][/ROW]
[ROW][C]75[/C][C]78[/C][C]66.5283[/C][C]63.5417[/C][C]2.98664[/C][C]11.4717[/C][/ROW]
[ROW][C]76[/C][C]53[/C][C]61.1273[/C][C]63.8333[/C][C]-2.70607[/C][C]-8.12727[/C][/ROW]
[ROW][C]77[/C][C]67[/C][C]62.6793[/C][C]64.5[/C][C]-1.82065[/C][C]4.32065[/C][/ROW]
[ROW][C]78[/C][C]59[/C][C]65.1429[/C][C]65.4167[/C][C]-0.273775[/C][C]-6.14289[/C][/ROW]
[ROW][C]79[/C][C]66[/C][C]68.7123[/C][C]66.2083[/C][C]2.504[/C][C]-2.71234[/C][/ROW]
[ROW][C]80[/C][C]68[/C][C]66.3929[/C][C]66.7917[/C][C]-0.398775[/C][C]1.60711[/C][/ROW]
[ROW][C]81[/C][C]71[/C][C]70.6568[/C][C]66.3333[/C][C]4.32345[/C][C]0.34322[/C][/ROW]
[ROW][C]82[/C][C]66[/C][C]63.5873[/C][C]66.2917[/C][C]-2.70433[/C][C]2.41266[/C][/ROW]
[ROW][C]83[/C][C]73[/C][C]65.8744[/C][C]67.2917[/C][C]-1.41729[/C][C]7.12563[/C][/ROW]
[ROW][C]84[/C][C]72[/C][C]67.0179[/C][C]68.125[/C][C]-1.10711[/C][C]4.98211[/C][/ROW]
[ROW][C]85[/C][C]71[/C][C]71.5231[/C][C]68.7917[/C][C]2.73143[/C][C]-0.5231[/C][/ROW]
[ROW][C]86[/C][C]59[/C][C]66.7158[/C][C]68.8333[/C][C]-2.11753[/C][C]-7.71581[/C][/ROW]
[ROW][C]87[/C][C]64[/C][C]71.32[/C][C]68.3333[/C][C]2.98664[/C][C]-7.31997[/C][/ROW]
[ROW][C]88[/C][C]66[/C][C]65.4606[/C][C]68.1667[/C][C]-2.70607[/C][C]0.5394[/C][/ROW]
[ROW][C]89[/C][C]78[/C][C]66.096[/C][C]67.9167[/C][C]-1.82065[/C][C]11.904[/C][/ROW]
[ROW][C]90[/C][C]68[/C][C]66.8096[/C][C]67.0833[/C][C]-0.273775[/C][C]1.19044[/C][/ROW]
[ROW][C]91[/C][C]73[/C][C]69.0873[/C][C]66.5833[/C][C]2.504[/C][C]3.91266[/C][/ROW]
[ROW][C]92[/C][C]62[/C][C]66.4346[/C][C]66.8333[/C][C]-0.398775[/C][C]-4.43456[/C][/ROW]
[ROW][C]93[/C][C]65[/C][C]71.5734[/C][C]67.25[/C][C]4.32345[/C][C]-6.57345[/C][/ROW]
[ROW][C]94[/C][C]68[/C][C]64.629[/C][C]67.3333[/C][C]-2.70433[/C][C]3.371[/C][/ROW]
[ROW][C]95[/C][C]65[/C][C]65.666[/C][C]67.0833[/C][C]-1.41729[/C][C]-0.66604[/C][/ROW]
[ROW][C]96[/C][C]60[/C][C]65.8512[/C][C]66.9583[/C][C]-1.10711[/C][C]-5.85122[/C][/ROW]
[ROW][C]97[/C][C]71[/C][C]69.8564[/C][C]67.125[/C][C]2.73143[/C][C]1.14357[/C][/ROW]
[ROW][C]98[/C][C]65[/C][C]65.3825[/C][C]67.5[/C][C]-2.11753[/C][C]-0.382475[/C][/ROW]
[ROW][C]99[/C][C]68[/C][C]71.0283[/C][C]68.0417[/C][C]2.98664[/C][C]-3.02831[/C][/ROW]
[ROW][C]100[/C][C]64[/C][C]65.5856[/C][C]68.2917[/C][C]-2.70607[/C][C]-1.5856[/C][/ROW]
[ROW][C]101[/C][C]74[/C][C]66.346[/C][C]68.1667[/C][C]-1.82065[/C][C]7.65398[/C][/ROW]
[ROW][C]102[/C][C]69[/C][C]67.7679[/C][C]68.0417[/C][C]-0.273775[/C][C]1.23211[/C][/ROW]
[ROW][C]103[/C][C]76[/C][C]70.5873[/C][C]68.0833[/C][C]2.504[/C][C]5.41266[/C][/ROW]
[ROW][C]104[/C][C]68[/C][C]67.8096[/C][C]68.2083[/C][C]-0.398775[/C][C]0.190442[/C][/ROW]
[ROW][C]105[/C][C]72[/C][C]72.3234[/C][C]68[/C][C]4.32345[/C][C]-0.323447[/C][/ROW]
[ROW][C]106[/C][C]67[/C][C]65.254[/C][C]67.9583[/C][C]-2.70433[/C][C]1.746[/C][/ROW]
[ROW][C]107[/C][C]63[/C][C]66.416[/C][C]67.8333[/C][C]-1.41729[/C][C]-3.41604[/C][/ROW]
[ROW][C]108[/C][C]59[/C][C]NA[/C][C]NA[/C][C]-1.10711[/C][C]NA[/C][/ROW]
[ROW][C]109[/C][C]73[/C][C]NA[/C][C]NA[/C][C]2.73143[/C][C]NA[/C][/ROW]
[ROW][C]110[/C][C]66[/C][C]NA[/C][C]NA[/C][C]-2.11753[/C][C]NA[/C][/ROW]
[ROW][C]111[/C][C]62[/C][C]NA[/C][C]NA[/C][C]2.98664[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]69[/C][C]NA[/C][C]NA[/C][C]-2.70607[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]66[/C][C]NA[/C][C]NA[/C][C]-1.82065[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267953&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267953&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
150NANA2.73143NA
262NANA-2.11753NA
354NANA2.98664NA
471NANA-2.70607NA
554NANA-1.82065NA
665NANA-0.273775NA
77365.170762.66672.5047.82933
85263.892964.2917-0.398775-11.8929
98469.948465.6254.3234514.0516
104263.837366.5417-2.70433-21.8373
116665.66667.0833-1.417290.33396
126566.684667.7917-1.10711-1.68456
137870.231467.52.731437.76857
147366.090868.2083-2.117536.90919
157571.861668.8752.986643.13836
167266.752369.4583-2.706075.24773
176668.97170.7917-1.82065-2.97102
187071.017971.2917-0.273775-1.01789
196173.670771.16672.504-12.6707
208170.226270.625-0.39877510.7738
217174.531870.20834.32345-3.53178
226966.75469.4583-2.704332.246
237167.624469.0417-1.417293.37563
247268.226269.3333-1.107113.77378
256872.689869.95832.73143-4.68977
267067.340869.4583-2.117532.65919
276871.611668.6252.98664-3.61164
286165.960668.6667-2.70607-4.9606
296766.84668.6667-1.820650.153983
307667.976268.25-0.2737758.02378
317070.420767.91672.504-0.420669
326067.351267.75-0.398775-7.35122
337271.406867.08334.323450.59322
346964.587367.2917-2.704334.41266
357165.874467.2917-1.417295.12563
366264.851265.9583-1.10711-2.85122
377067.898165.16672.731432.1019
386463.632565.75-2.117530.367525
395869.111666.1252.98664-11.1116
407663.043965.75-2.7060712.9561
415263.34665.1667-1.82065-11.346
425964.684664.9583-0.273775-5.68456
436868.00465.52.504-0.0040027
447665.309665.7083-0.39877510.6904
456570.698466.3754.32345-5.69845
466763.837366.5417-2.704333.16266
475964.91666.3333-1.41729-5.91604
486966.142967.25-1.107112.85711
497670.356467.6252.731435.64357
506365.049167.1667-2.11753-2.04914
517570.3267.33332.986644.68003
526365.002367.7083-2.70607-2.00227
536066.012767.8333-1.82065-6.01268
547367.476267.75-0.2737755.52378
556369.504672.504-6.504
567066.392966.7917-0.3987753.60711
577571.406867.08334.323453.59322
586664.295767-2.704331.70433
596365.499466.9167-1.41729-2.49937
606365.351266.4583-1.10711-2.35122
616469.148166.41672.73143-5.1481
627064.340866.4583-2.117535.65919
637568.69565.70832.986646.30503
646162.543965.25-2.70607-1.54393
656063.179365-1.82065-3.17935
666264.601264.875-0.273775-2.60122
677367.25464.752.5045.746
686163.601264-0.398775-2.60122
696667.865163.54174.32345-1.86511
706460.62963.3333-2.704333.371
715961.874463.2917-1.41729-2.87437
726462.351263.4583-1.107111.64878
736065.773163.04172.73143-5.7731
745660.924163.0417-2.11753-4.92414
757866.528363.54172.9866411.4717
765361.127363.8333-2.70607-8.12727
776762.679364.5-1.820654.32065
785965.142965.4167-0.273775-6.14289
796668.712366.20832.504-2.71234
806866.392966.7917-0.3987751.60711
817170.656866.33334.323450.34322
826663.587366.2917-2.704332.41266
837365.874467.2917-1.417297.12563
847267.017968.125-1.107114.98211
857171.523168.79172.73143-0.5231
865966.715868.8333-2.11753-7.71581
876471.3268.33332.98664-7.31997
886665.460668.1667-2.706070.5394
897866.09667.9167-1.8206511.904
906866.809667.0833-0.2737751.19044
917369.087366.58332.5043.91266
926266.434666.8333-0.398775-4.43456
936571.573467.254.32345-6.57345
946864.62967.3333-2.704333.371
956565.66667.0833-1.41729-0.66604
966065.851266.9583-1.10711-5.85122
977169.856467.1252.731431.14357
986565.382567.5-2.11753-0.382475
996871.028368.04172.98664-3.02831
1006465.585668.2917-2.70607-1.5856
1017466.34668.1667-1.820657.65398
1026967.767968.0417-0.2737751.23211
1037670.587368.08332.5045.41266
1046867.809668.2083-0.3987750.190442
1057272.3234684.32345-0.323447
1066765.25467.9583-2.704331.746
1076366.41667.8333-1.41729-3.41604
10859NANA-1.10711NA
10973NANA2.73143NA
11066NANA-2.11753NA
11162NANA2.98664NA
11269NANA-2.70607NA
11366NANA-1.82065NA



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')