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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 03 Jan 2015 15:12:34 +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/2015/Jan/03/t14202979737nsruok41x2adfq.htm/, Retrieved Tue, 14 May 2024 21:28:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271908, Retrieved Tue, 14 May 2024 21:28:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-01-03 15:12:34] [062c419fa600f620f2df94d64c8876ba] [Current]
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Dataseries X:
53
47
49
44
48
51
47
44
33
47
41
36
46
24
17
22
30
24
18
24
24
28
19
22
26
14
16
21
15
23
29
17
24
18
22
8
26
22
34
25
20
35
38
24
14
25
31
17
32
27
30
19
36
27
28
38
26
25
30
27
30
50
48
34
41
26
39
33
38
28
36
20
39
22
32
32
31
28
44
40
32
35
32
31
41
23
36
36
42
36
64
30
25
51
38
27




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=271908&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=271908&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271908&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
153NANA4.99355NA
247NANA-3.31002NA
349NANA1.2495NA
444NANA-2.15526NA
548NANA1.55308NA
651NANA-0.66121NA
74749.374544.70834.66617-2.3745
84445.053143.45831.59474-1.05308
93338.838841.1667-2.32788-5.83879
104738.856638.9167-0.06001988.14335
114137.987637.250.7375993.0124
123629.094735.375-6.280266.90526
134638.035233.04174.993557.96478
142427.6931-3.31002-3.68998
151731.041229.79171.2495-14.0412
162226.469728.625-2.15526-4.46974
173028.469726.91671.553081.53026
182424.755525.4167-0.66121-0.755456
191828.6662244.66617-10.6662
202424.344722.751.59474-0.344742
212419.963822.2917-2.327884.03621
222822.148322.2083-0.06001985.85169
231922.279321.54170.737599-3.27927
242214.594720.875-6.280267.40526
252626.285221.29174.99355-0.285218
261418.148321.4583-3.31002-4.14831
271622.416221.16671.2495-6.41617
282118.594720.75-2.155262.40526
291522.011420.45831.55308-7.01141
302319.338820-0.661213.66121
312924.082819.41674.666174.91716
321721.344719.751.59474-4.34474
332418.505520.8333-2.327885.49454
341821.6921.75-0.0600198-3.68998
352222.862622.1250.737599-0.862599
36816.553122.8333-6.28026-8.55308
372628.701923.70834.99355-2.70188
382221.06524.375-3.310020.93502
393425.499524.251.24958.5005
402521.969724.125-2.155263.03026
412026.344724.79171.55308-6.34474
423524.880525.5417-0.6612110.1195
433830.832826.16674.666177.16716
442428.219726.6251.59474-4.21974
451424.338826.6667-2.32788-10.3388
462526.1926.25-0.0600198-1.18998
473127.404326.66670.7375993.59573
481720.719727-6.28026-3.71974
493231.243626.254.993550.756448
502723.106626.4167-3.310023.89335
513028.749527.51.24951.2505
521925.844728-2.15526-6.84474
533629.511427.95831.553086.48859
542727.672128.3333-0.66121-0.672123
552833.332828.66674.66617-5.33284
563831.136429.54171.594746.86359
572628.922131.25-2.32788-2.92212
582532.56532.625-0.0600198-7.56498
593034.195933.45830.737599-4.19593
602727.344733.625-6.28026-0.344742
613039.035234.04174.99355-9.03522
625030.981634.2917-3.3100219.0184
634835.832834.58331.249512.1672
643433.053135.2083-2.155260.946925
654137.136435.58331.553083.86359
662634.880535.5417-0.66121-8.88046
673940.291235.6254.66617-1.29117
683336.428134.83331.59474-3.42808
693830.672133-2.327887.32788
702832.1932.25-0.0600198-4.18998
713632.487631.750.7375993.5124
722025.136431.4167-6.28026-5.13641
733936.701931.70834.993552.29812
742228.898332.2083-3.31002-6.89831
753233.499532.251.2495-1.4995
763230.136432.2917-2.155261.86359
773133.969732.41671.55308-2.96974
782832.047132.7083-0.66121-4.04712
794437.916233.254.666176.08383
804034.969733.3751.594745.03026
813231.255533.5833-2.327880.744544
823533.856633.9167-0.06001981.14335
833235.279334.54170.737599-3.27927
843129.053135.3333-6.280261.94692
854141.493636.54.99355-0.493552
862333.606636.9167-3.31002-10.6066
873637.457836.20831.2495-1.45784
883634.428136.5833-2.155261.57192
894239.053137.51.553082.94692
903636.922137.5833-0.66121-0.922123
9164NANA4.66617NA
9230NANA1.59474NA
9325NANA-2.32788NA
9451NANA-0.0600198NA
9538NANA0.737599NA
9627NANA-6.28026NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 53 & NA & NA & 4.99355 & NA \tabularnewline
2 & 47 & NA & NA & -3.31002 & NA \tabularnewline
3 & 49 & NA & NA & 1.2495 & NA \tabularnewline
4 & 44 & NA & NA & -2.15526 & NA \tabularnewline
5 & 48 & NA & NA & 1.55308 & NA \tabularnewline
6 & 51 & NA & NA & -0.66121 & NA \tabularnewline
7 & 47 & 49.3745 & 44.7083 & 4.66617 & -2.3745 \tabularnewline
8 & 44 & 45.0531 & 43.4583 & 1.59474 & -1.05308 \tabularnewline
9 & 33 & 38.8388 & 41.1667 & -2.32788 & -5.83879 \tabularnewline
10 & 47 & 38.8566 & 38.9167 & -0.0600198 & 8.14335 \tabularnewline
11 & 41 & 37.9876 & 37.25 & 0.737599 & 3.0124 \tabularnewline
12 & 36 & 29.0947 & 35.375 & -6.28026 & 6.90526 \tabularnewline
13 & 46 & 38.0352 & 33.0417 & 4.99355 & 7.96478 \tabularnewline
14 & 24 & 27.69 & 31 & -3.31002 & -3.68998 \tabularnewline
15 & 17 & 31.0412 & 29.7917 & 1.2495 & -14.0412 \tabularnewline
16 & 22 & 26.4697 & 28.625 & -2.15526 & -4.46974 \tabularnewline
17 & 30 & 28.4697 & 26.9167 & 1.55308 & 1.53026 \tabularnewline
18 & 24 & 24.7555 & 25.4167 & -0.66121 & -0.755456 \tabularnewline
19 & 18 & 28.6662 & 24 & 4.66617 & -10.6662 \tabularnewline
20 & 24 & 24.3447 & 22.75 & 1.59474 & -0.344742 \tabularnewline
21 & 24 & 19.9638 & 22.2917 & -2.32788 & 4.03621 \tabularnewline
22 & 28 & 22.1483 & 22.2083 & -0.0600198 & 5.85169 \tabularnewline
23 & 19 & 22.2793 & 21.5417 & 0.737599 & -3.27927 \tabularnewline
24 & 22 & 14.5947 & 20.875 & -6.28026 & 7.40526 \tabularnewline
25 & 26 & 26.2852 & 21.2917 & 4.99355 & -0.285218 \tabularnewline
26 & 14 & 18.1483 & 21.4583 & -3.31002 & -4.14831 \tabularnewline
27 & 16 & 22.4162 & 21.1667 & 1.2495 & -6.41617 \tabularnewline
28 & 21 & 18.5947 & 20.75 & -2.15526 & 2.40526 \tabularnewline
29 & 15 & 22.0114 & 20.4583 & 1.55308 & -7.01141 \tabularnewline
30 & 23 & 19.3388 & 20 & -0.66121 & 3.66121 \tabularnewline
31 & 29 & 24.0828 & 19.4167 & 4.66617 & 4.91716 \tabularnewline
32 & 17 & 21.3447 & 19.75 & 1.59474 & -4.34474 \tabularnewline
33 & 24 & 18.5055 & 20.8333 & -2.32788 & 5.49454 \tabularnewline
34 & 18 & 21.69 & 21.75 & -0.0600198 & -3.68998 \tabularnewline
35 & 22 & 22.8626 & 22.125 & 0.737599 & -0.862599 \tabularnewline
36 & 8 & 16.5531 & 22.8333 & -6.28026 & -8.55308 \tabularnewline
37 & 26 & 28.7019 & 23.7083 & 4.99355 & -2.70188 \tabularnewline
38 & 22 & 21.065 & 24.375 & -3.31002 & 0.93502 \tabularnewline
39 & 34 & 25.4995 & 24.25 & 1.2495 & 8.5005 \tabularnewline
40 & 25 & 21.9697 & 24.125 & -2.15526 & 3.03026 \tabularnewline
41 & 20 & 26.3447 & 24.7917 & 1.55308 & -6.34474 \tabularnewline
42 & 35 & 24.8805 & 25.5417 & -0.66121 & 10.1195 \tabularnewline
43 & 38 & 30.8328 & 26.1667 & 4.66617 & 7.16716 \tabularnewline
44 & 24 & 28.2197 & 26.625 & 1.59474 & -4.21974 \tabularnewline
45 & 14 & 24.3388 & 26.6667 & -2.32788 & -10.3388 \tabularnewline
46 & 25 & 26.19 & 26.25 & -0.0600198 & -1.18998 \tabularnewline
47 & 31 & 27.4043 & 26.6667 & 0.737599 & 3.59573 \tabularnewline
48 & 17 & 20.7197 & 27 & -6.28026 & -3.71974 \tabularnewline
49 & 32 & 31.2436 & 26.25 & 4.99355 & 0.756448 \tabularnewline
50 & 27 & 23.1066 & 26.4167 & -3.31002 & 3.89335 \tabularnewline
51 & 30 & 28.7495 & 27.5 & 1.2495 & 1.2505 \tabularnewline
52 & 19 & 25.8447 & 28 & -2.15526 & -6.84474 \tabularnewline
53 & 36 & 29.5114 & 27.9583 & 1.55308 & 6.48859 \tabularnewline
54 & 27 & 27.6721 & 28.3333 & -0.66121 & -0.672123 \tabularnewline
55 & 28 & 33.3328 & 28.6667 & 4.66617 & -5.33284 \tabularnewline
56 & 38 & 31.1364 & 29.5417 & 1.59474 & 6.86359 \tabularnewline
57 & 26 & 28.9221 & 31.25 & -2.32788 & -2.92212 \tabularnewline
58 & 25 & 32.565 & 32.625 & -0.0600198 & -7.56498 \tabularnewline
59 & 30 & 34.1959 & 33.4583 & 0.737599 & -4.19593 \tabularnewline
60 & 27 & 27.3447 & 33.625 & -6.28026 & -0.344742 \tabularnewline
61 & 30 & 39.0352 & 34.0417 & 4.99355 & -9.03522 \tabularnewline
62 & 50 & 30.9816 & 34.2917 & -3.31002 & 19.0184 \tabularnewline
63 & 48 & 35.8328 & 34.5833 & 1.2495 & 12.1672 \tabularnewline
64 & 34 & 33.0531 & 35.2083 & -2.15526 & 0.946925 \tabularnewline
65 & 41 & 37.1364 & 35.5833 & 1.55308 & 3.86359 \tabularnewline
66 & 26 & 34.8805 & 35.5417 & -0.66121 & -8.88046 \tabularnewline
67 & 39 & 40.2912 & 35.625 & 4.66617 & -1.29117 \tabularnewline
68 & 33 & 36.4281 & 34.8333 & 1.59474 & -3.42808 \tabularnewline
69 & 38 & 30.6721 & 33 & -2.32788 & 7.32788 \tabularnewline
70 & 28 & 32.19 & 32.25 & -0.0600198 & -4.18998 \tabularnewline
71 & 36 & 32.4876 & 31.75 & 0.737599 & 3.5124 \tabularnewline
72 & 20 & 25.1364 & 31.4167 & -6.28026 & -5.13641 \tabularnewline
73 & 39 & 36.7019 & 31.7083 & 4.99355 & 2.29812 \tabularnewline
74 & 22 & 28.8983 & 32.2083 & -3.31002 & -6.89831 \tabularnewline
75 & 32 & 33.4995 & 32.25 & 1.2495 & -1.4995 \tabularnewline
76 & 32 & 30.1364 & 32.2917 & -2.15526 & 1.86359 \tabularnewline
77 & 31 & 33.9697 & 32.4167 & 1.55308 & -2.96974 \tabularnewline
78 & 28 & 32.0471 & 32.7083 & -0.66121 & -4.04712 \tabularnewline
79 & 44 & 37.9162 & 33.25 & 4.66617 & 6.08383 \tabularnewline
80 & 40 & 34.9697 & 33.375 & 1.59474 & 5.03026 \tabularnewline
81 & 32 & 31.2555 & 33.5833 & -2.32788 & 0.744544 \tabularnewline
82 & 35 & 33.8566 & 33.9167 & -0.0600198 & 1.14335 \tabularnewline
83 & 32 & 35.2793 & 34.5417 & 0.737599 & -3.27927 \tabularnewline
84 & 31 & 29.0531 & 35.3333 & -6.28026 & 1.94692 \tabularnewline
85 & 41 & 41.4936 & 36.5 & 4.99355 & -0.493552 \tabularnewline
86 & 23 & 33.6066 & 36.9167 & -3.31002 & -10.6066 \tabularnewline
87 & 36 & 37.4578 & 36.2083 & 1.2495 & -1.45784 \tabularnewline
88 & 36 & 34.4281 & 36.5833 & -2.15526 & 1.57192 \tabularnewline
89 & 42 & 39.0531 & 37.5 & 1.55308 & 2.94692 \tabularnewline
90 & 36 & 36.9221 & 37.5833 & -0.66121 & -0.922123 \tabularnewline
91 & 64 & NA & NA & 4.66617 & NA \tabularnewline
92 & 30 & NA & NA & 1.59474 & NA \tabularnewline
93 & 25 & NA & NA & -2.32788 & NA \tabularnewline
94 & 51 & NA & NA & -0.0600198 & NA \tabularnewline
95 & 38 & NA & NA & 0.737599 & NA \tabularnewline
96 & 27 & NA & NA & -6.28026 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271908&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]53[/C][C]NA[/C][C]NA[/C][C]4.99355[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]47[/C][C]NA[/C][C]NA[/C][C]-3.31002[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]49[/C][C]NA[/C][C]NA[/C][C]1.2495[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]44[/C][C]NA[/C][C]NA[/C][C]-2.15526[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]48[/C][C]NA[/C][C]NA[/C][C]1.55308[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]51[/C][C]NA[/C][C]NA[/C][C]-0.66121[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]47[/C][C]49.3745[/C][C]44.7083[/C][C]4.66617[/C][C]-2.3745[/C][/ROW]
[ROW][C]8[/C][C]44[/C][C]45.0531[/C][C]43.4583[/C][C]1.59474[/C][C]-1.05308[/C][/ROW]
[ROW][C]9[/C][C]33[/C][C]38.8388[/C][C]41.1667[/C][C]-2.32788[/C][C]-5.83879[/C][/ROW]
[ROW][C]10[/C][C]47[/C][C]38.8566[/C][C]38.9167[/C][C]-0.0600198[/C][C]8.14335[/C][/ROW]
[ROW][C]11[/C][C]41[/C][C]37.9876[/C][C]37.25[/C][C]0.737599[/C][C]3.0124[/C][/ROW]
[ROW][C]12[/C][C]36[/C][C]29.0947[/C][C]35.375[/C][C]-6.28026[/C][C]6.90526[/C][/ROW]
[ROW][C]13[/C][C]46[/C][C]38.0352[/C][C]33.0417[/C][C]4.99355[/C][C]7.96478[/C][/ROW]
[ROW][C]14[/C][C]24[/C][C]27.69[/C][C]31[/C][C]-3.31002[/C][C]-3.68998[/C][/ROW]
[ROW][C]15[/C][C]17[/C][C]31.0412[/C][C]29.7917[/C][C]1.2495[/C][C]-14.0412[/C][/ROW]
[ROW][C]16[/C][C]22[/C][C]26.4697[/C][C]28.625[/C][C]-2.15526[/C][C]-4.46974[/C][/ROW]
[ROW][C]17[/C][C]30[/C][C]28.4697[/C][C]26.9167[/C][C]1.55308[/C][C]1.53026[/C][/ROW]
[ROW][C]18[/C][C]24[/C][C]24.7555[/C][C]25.4167[/C][C]-0.66121[/C][C]-0.755456[/C][/ROW]
[ROW][C]19[/C][C]18[/C][C]28.6662[/C][C]24[/C][C]4.66617[/C][C]-10.6662[/C][/ROW]
[ROW][C]20[/C][C]24[/C][C]24.3447[/C][C]22.75[/C][C]1.59474[/C][C]-0.344742[/C][/ROW]
[ROW][C]21[/C][C]24[/C][C]19.9638[/C][C]22.2917[/C][C]-2.32788[/C][C]4.03621[/C][/ROW]
[ROW][C]22[/C][C]28[/C][C]22.1483[/C][C]22.2083[/C][C]-0.0600198[/C][C]5.85169[/C][/ROW]
[ROW][C]23[/C][C]19[/C][C]22.2793[/C][C]21.5417[/C][C]0.737599[/C][C]-3.27927[/C][/ROW]
[ROW][C]24[/C][C]22[/C][C]14.5947[/C][C]20.875[/C][C]-6.28026[/C][C]7.40526[/C][/ROW]
[ROW][C]25[/C][C]26[/C][C]26.2852[/C][C]21.2917[/C][C]4.99355[/C][C]-0.285218[/C][/ROW]
[ROW][C]26[/C][C]14[/C][C]18.1483[/C][C]21.4583[/C][C]-3.31002[/C][C]-4.14831[/C][/ROW]
[ROW][C]27[/C][C]16[/C][C]22.4162[/C][C]21.1667[/C][C]1.2495[/C][C]-6.41617[/C][/ROW]
[ROW][C]28[/C][C]21[/C][C]18.5947[/C][C]20.75[/C][C]-2.15526[/C][C]2.40526[/C][/ROW]
[ROW][C]29[/C][C]15[/C][C]22.0114[/C][C]20.4583[/C][C]1.55308[/C][C]-7.01141[/C][/ROW]
[ROW][C]30[/C][C]23[/C][C]19.3388[/C][C]20[/C][C]-0.66121[/C][C]3.66121[/C][/ROW]
[ROW][C]31[/C][C]29[/C][C]24.0828[/C][C]19.4167[/C][C]4.66617[/C][C]4.91716[/C][/ROW]
[ROW][C]32[/C][C]17[/C][C]21.3447[/C][C]19.75[/C][C]1.59474[/C][C]-4.34474[/C][/ROW]
[ROW][C]33[/C][C]24[/C][C]18.5055[/C][C]20.8333[/C][C]-2.32788[/C][C]5.49454[/C][/ROW]
[ROW][C]34[/C][C]18[/C][C]21.69[/C][C]21.75[/C][C]-0.0600198[/C][C]-3.68998[/C][/ROW]
[ROW][C]35[/C][C]22[/C][C]22.8626[/C][C]22.125[/C][C]0.737599[/C][C]-0.862599[/C][/ROW]
[ROW][C]36[/C][C]8[/C][C]16.5531[/C][C]22.8333[/C][C]-6.28026[/C][C]-8.55308[/C][/ROW]
[ROW][C]37[/C][C]26[/C][C]28.7019[/C][C]23.7083[/C][C]4.99355[/C][C]-2.70188[/C][/ROW]
[ROW][C]38[/C][C]22[/C][C]21.065[/C][C]24.375[/C][C]-3.31002[/C][C]0.93502[/C][/ROW]
[ROW][C]39[/C][C]34[/C][C]25.4995[/C][C]24.25[/C][C]1.2495[/C][C]8.5005[/C][/ROW]
[ROW][C]40[/C][C]25[/C][C]21.9697[/C][C]24.125[/C][C]-2.15526[/C][C]3.03026[/C][/ROW]
[ROW][C]41[/C][C]20[/C][C]26.3447[/C][C]24.7917[/C][C]1.55308[/C][C]-6.34474[/C][/ROW]
[ROW][C]42[/C][C]35[/C][C]24.8805[/C][C]25.5417[/C][C]-0.66121[/C][C]10.1195[/C][/ROW]
[ROW][C]43[/C][C]38[/C][C]30.8328[/C][C]26.1667[/C][C]4.66617[/C][C]7.16716[/C][/ROW]
[ROW][C]44[/C][C]24[/C][C]28.2197[/C][C]26.625[/C][C]1.59474[/C][C]-4.21974[/C][/ROW]
[ROW][C]45[/C][C]14[/C][C]24.3388[/C][C]26.6667[/C][C]-2.32788[/C][C]-10.3388[/C][/ROW]
[ROW][C]46[/C][C]25[/C][C]26.19[/C][C]26.25[/C][C]-0.0600198[/C][C]-1.18998[/C][/ROW]
[ROW][C]47[/C][C]31[/C][C]27.4043[/C][C]26.6667[/C][C]0.737599[/C][C]3.59573[/C][/ROW]
[ROW][C]48[/C][C]17[/C][C]20.7197[/C][C]27[/C][C]-6.28026[/C][C]-3.71974[/C][/ROW]
[ROW][C]49[/C][C]32[/C][C]31.2436[/C][C]26.25[/C][C]4.99355[/C][C]0.756448[/C][/ROW]
[ROW][C]50[/C][C]27[/C][C]23.1066[/C][C]26.4167[/C][C]-3.31002[/C][C]3.89335[/C][/ROW]
[ROW][C]51[/C][C]30[/C][C]28.7495[/C][C]27.5[/C][C]1.2495[/C][C]1.2505[/C][/ROW]
[ROW][C]52[/C][C]19[/C][C]25.8447[/C][C]28[/C][C]-2.15526[/C][C]-6.84474[/C][/ROW]
[ROW][C]53[/C][C]36[/C][C]29.5114[/C][C]27.9583[/C][C]1.55308[/C][C]6.48859[/C][/ROW]
[ROW][C]54[/C][C]27[/C][C]27.6721[/C][C]28.3333[/C][C]-0.66121[/C][C]-0.672123[/C][/ROW]
[ROW][C]55[/C][C]28[/C][C]33.3328[/C][C]28.6667[/C][C]4.66617[/C][C]-5.33284[/C][/ROW]
[ROW][C]56[/C][C]38[/C][C]31.1364[/C][C]29.5417[/C][C]1.59474[/C][C]6.86359[/C][/ROW]
[ROW][C]57[/C][C]26[/C][C]28.9221[/C][C]31.25[/C][C]-2.32788[/C][C]-2.92212[/C][/ROW]
[ROW][C]58[/C][C]25[/C][C]32.565[/C][C]32.625[/C][C]-0.0600198[/C][C]-7.56498[/C][/ROW]
[ROW][C]59[/C][C]30[/C][C]34.1959[/C][C]33.4583[/C][C]0.737599[/C][C]-4.19593[/C][/ROW]
[ROW][C]60[/C][C]27[/C][C]27.3447[/C][C]33.625[/C][C]-6.28026[/C][C]-0.344742[/C][/ROW]
[ROW][C]61[/C][C]30[/C][C]39.0352[/C][C]34.0417[/C][C]4.99355[/C][C]-9.03522[/C][/ROW]
[ROW][C]62[/C][C]50[/C][C]30.9816[/C][C]34.2917[/C][C]-3.31002[/C][C]19.0184[/C][/ROW]
[ROW][C]63[/C][C]48[/C][C]35.8328[/C][C]34.5833[/C][C]1.2495[/C][C]12.1672[/C][/ROW]
[ROW][C]64[/C][C]34[/C][C]33.0531[/C][C]35.2083[/C][C]-2.15526[/C][C]0.946925[/C][/ROW]
[ROW][C]65[/C][C]41[/C][C]37.1364[/C][C]35.5833[/C][C]1.55308[/C][C]3.86359[/C][/ROW]
[ROW][C]66[/C][C]26[/C][C]34.8805[/C][C]35.5417[/C][C]-0.66121[/C][C]-8.88046[/C][/ROW]
[ROW][C]67[/C][C]39[/C][C]40.2912[/C][C]35.625[/C][C]4.66617[/C][C]-1.29117[/C][/ROW]
[ROW][C]68[/C][C]33[/C][C]36.4281[/C][C]34.8333[/C][C]1.59474[/C][C]-3.42808[/C][/ROW]
[ROW][C]69[/C][C]38[/C][C]30.6721[/C][C]33[/C][C]-2.32788[/C][C]7.32788[/C][/ROW]
[ROW][C]70[/C][C]28[/C][C]32.19[/C][C]32.25[/C][C]-0.0600198[/C][C]-4.18998[/C][/ROW]
[ROW][C]71[/C][C]36[/C][C]32.4876[/C][C]31.75[/C][C]0.737599[/C][C]3.5124[/C][/ROW]
[ROW][C]72[/C][C]20[/C][C]25.1364[/C][C]31.4167[/C][C]-6.28026[/C][C]-5.13641[/C][/ROW]
[ROW][C]73[/C][C]39[/C][C]36.7019[/C][C]31.7083[/C][C]4.99355[/C][C]2.29812[/C][/ROW]
[ROW][C]74[/C][C]22[/C][C]28.8983[/C][C]32.2083[/C][C]-3.31002[/C][C]-6.89831[/C][/ROW]
[ROW][C]75[/C][C]32[/C][C]33.4995[/C][C]32.25[/C][C]1.2495[/C][C]-1.4995[/C][/ROW]
[ROW][C]76[/C][C]32[/C][C]30.1364[/C][C]32.2917[/C][C]-2.15526[/C][C]1.86359[/C][/ROW]
[ROW][C]77[/C][C]31[/C][C]33.9697[/C][C]32.4167[/C][C]1.55308[/C][C]-2.96974[/C][/ROW]
[ROW][C]78[/C][C]28[/C][C]32.0471[/C][C]32.7083[/C][C]-0.66121[/C][C]-4.04712[/C][/ROW]
[ROW][C]79[/C][C]44[/C][C]37.9162[/C][C]33.25[/C][C]4.66617[/C][C]6.08383[/C][/ROW]
[ROW][C]80[/C][C]40[/C][C]34.9697[/C][C]33.375[/C][C]1.59474[/C][C]5.03026[/C][/ROW]
[ROW][C]81[/C][C]32[/C][C]31.2555[/C][C]33.5833[/C][C]-2.32788[/C][C]0.744544[/C][/ROW]
[ROW][C]82[/C][C]35[/C][C]33.8566[/C][C]33.9167[/C][C]-0.0600198[/C][C]1.14335[/C][/ROW]
[ROW][C]83[/C][C]32[/C][C]35.2793[/C][C]34.5417[/C][C]0.737599[/C][C]-3.27927[/C][/ROW]
[ROW][C]84[/C][C]31[/C][C]29.0531[/C][C]35.3333[/C][C]-6.28026[/C][C]1.94692[/C][/ROW]
[ROW][C]85[/C][C]41[/C][C]41.4936[/C][C]36.5[/C][C]4.99355[/C][C]-0.493552[/C][/ROW]
[ROW][C]86[/C][C]23[/C][C]33.6066[/C][C]36.9167[/C][C]-3.31002[/C][C]-10.6066[/C][/ROW]
[ROW][C]87[/C][C]36[/C][C]37.4578[/C][C]36.2083[/C][C]1.2495[/C][C]-1.45784[/C][/ROW]
[ROW][C]88[/C][C]36[/C][C]34.4281[/C][C]36.5833[/C][C]-2.15526[/C][C]1.57192[/C][/ROW]
[ROW][C]89[/C][C]42[/C][C]39.0531[/C][C]37.5[/C][C]1.55308[/C][C]2.94692[/C][/ROW]
[ROW][C]90[/C][C]36[/C][C]36.9221[/C][C]37.5833[/C][C]-0.66121[/C][C]-0.922123[/C][/ROW]
[ROW][C]91[/C][C]64[/C][C]NA[/C][C]NA[/C][C]4.66617[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]30[/C][C]NA[/C][C]NA[/C][C]1.59474[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]25[/C][C]NA[/C][C]NA[/C][C]-2.32788[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]51[/C][C]NA[/C][C]NA[/C][C]-0.0600198[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]38[/C][C]NA[/C][C]NA[/C][C]0.737599[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]27[/C][C]NA[/C][C]NA[/C][C]-6.28026[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271908&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271908&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
153NANA4.99355NA
247NANA-3.31002NA
349NANA1.2495NA
444NANA-2.15526NA
548NANA1.55308NA
651NANA-0.66121NA
74749.374544.70834.66617-2.3745
84445.053143.45831.59474-1.05308
93338.838841.1667-2.32788-5.83879
104738.856638.9167-0.06001988.14335
114137.987637.250.7375993.0124
123629.094735.375-6.280266.90526
134638.035233.04174.993557.96478
142427.6931-3.31002-3.68998
151731.041229.79171.2495-14.0412
162226.469728.625-2.15526-4.46974
173028.469726.91671.553081.53026
182424.755525.4167-0.66121-0.755456
191828.6662244.66617-10.6662
202424.344722.751.59474-0.344742
212419.963822.2917-2.327884.03621
222822.148322.2083-0.06001985.85169
231922.279321.54170.737599-3.27927
242214.594720.875-6.280267.40526
252626.285221.29174.99355-0.285218
261418.148321.4583-3.31002-4.14831
271622.416221.16671.2495-6.41617
282118.594720.75-2.155262.40526
291522.011420.45831.55308-7.01141
302319.338820-0.661213.66121
312924.082819.41674.666174.91716
321721.344719.751.59474-4.34474
332418.505520.8333-2.327885.49454
341821.6921.75-0.0600198-3.68998
352222.862622.1250.737599-0.862599
36816.553122.8333-6.28026-8.55308
372628.701923.70834.99355-2.70188
382221.06524.375-3.310020.93502
393425.499524.251.24958.5005
402521.969724.125-2.155263.03026
412026.344724.79171.55308-6.34474
423524.880525.5417-0.6612110.1195
433830.832826.16674.666177.16716
442428.219726.6251.59474-4.21974
451424.338826.6667-2.32788-10.3388
462526.1926.25-0.0600198-1.18998
473127.404326.66670.7375993.59573
481720.719727-6.28026-3.71974
493231.243626.254.993550.756448
502723.106626.4167-3.310023.89335
513028.749527.51.24951.2505
521925.844728-2.15526-6.84474
533629.511427.95831.553086.48859
542727.672128.3333-0.66121-0.672123
552833.332828.66674.66617-5.33284
563831.136429.54171.594746.86359
572628.922131.25-2.32788-2.92212
582532.56532.625-0.0600198-7.56498
593034.195933.45830.737599-4.19593
602727.344733.625-6.28026-0.344742
613039.035234.04174.99355-9.03522
625030.981634.2917-3.3100219.0184
634835.832834.58331.249512.1672
643433.053135.2083-2.155260.946925
654137.136435.58331.553083.86359
662634.880535.5417-0.66121-8.88046
673940.291235.6254.66617-1.29117
683336.428134.83331.59474-3.42808
693830.672133-2.327887.32788
702832.1932.25-0.0600198-4.18998
713632.487631.750.7375993.5124
722025.136431.4167-6.28026-5.13641
733936.701931.70834.993552.29812
742228.898332.2083-3.31002-6.89831
753233.499532.251.2495-1.4995
763230.136432.2917-2.155261.86359
773133.969732.41671.55308-2.96974
782832.047132.7083-0.66121-4.04712
794437.916233.254.666176.08383
804034.969733.3751.594745.03026
813231.255533.5833-2.327880.744544
823533.856633.9167-0.06001981.14335
833235.279334.54170.737599-3.27927
843129.053135.3333-6.280261.94692
854141.493636.54.99355-0.493552
862333.606636.9167-3.31002-10.6066
873637.457836.20831.2495-1.45784
883634.428136.5833-2.155261.57192
894239.053137.51.553082.94692
903636.922137.5833-0.66121-0.922123
9164NANA4.66617NA
9230NANA1.59474NA
9325NANA-2.32788NA
9451NANA-0.0600198NA
9538NANA0.737599NA
9627NANA-6.28026NA



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 <- 'multiplicative'
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')