Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 06 Dec 2015 13:55:13 +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/Dec/06/t14494101398d5kj6k04e4dprq.htm/, Retrieved Thu, 16 May 2024 04:26:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285282, Retrieved Thu, 16 May 2024 04:26:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-12-06 13:55:13] [9de61432ca342460988ae3c030b81fa6] [Current]
Feedback Forum

Post a new message
Dataseries X:
-12
-12
-8
-6
-2
4
3
5
8
5
3
6
15
12
11
12
14
18
15
16
-1
-5
-6
-5
-2
-9
-9
-12
-16
-19
-30
-26
-22
-31
-33
-31
-27
-29
-33
-27
-22
-23
-23
-15
-15
-24
-18
-14
-7
-12
-12
-15
-16
-17
-13
-8
-13
-13
-11
-16
-34
-35
-38
-32
-37
-39
-31
-30
-29
-36
-41
-42
-33
-43
-41
-34
-32
-36
-37
-30
-32
-30
-21
-19
-6
-11
-11




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285282&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285282&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285282&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'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1-12NANA0.452945NA
2-12NANA0.523384NA
3-8NANA0.514386NA
4-6NANA0.503829NA
5-2NANA0.542736NA
64NANA0.624923NA
730.5377520.6250.8604035.57878
851.703642.750.6195052.93489
981.886244.541670.4153184.24125
1051.354116.083330.2225943.69245
11346.56467.56.208610.0644266
1264.474418.750.5113621.34096
13154.453969.833330.4529453.36779
14125.6481810.79170.5233842.12458
15115.5939510.8750.5143861.96641
16125.0802810.08330.5038292.36208
17145.042929.291670.5427362.77617
18185.28588.458330.6249233.40535
19156.273777.291670.8604032.39091
20163.536345.708330.6195054.52445
21-11.6612740.415318-0.601948
22-50.4822872.166670.222594-10.3673
23-6-0.517385-0.08333336.2086111.5968
24-5-1.47016-2.8750.5113623.40098
25-2-2.84978-6.291670.4529450.701808
26-9-5.19022-9.916670.5233841.73403
27-9-6.45126-12.54170.5143861.39508
28-12-7.30552-14.50.5038291.64259
29-16-9.06821-16.70830.5427361.76441
30-19-11.8215-18.91670.6249231.60725
31-30-18.1043-21.04170.8604031.65706
32-26-14.197-22.91670.6195051.83137
33-22-10.2791-24.750.4153182.14026
34-31-5.87091-26.3750.2225945.28027
35-33-169.185-27.256.208610.195053
36-31-14.1477-27.66670.5113622.19117
37-27-12.4749-27.54170.4529452.16435
38-29-14.0223-26.79170.5233842.06813
39-33-13.3955-26.04170.5143862.46352
40-27-12.8267-25.45830.5038292.10499
41-22-13.3196-24.54170.5427361.6517
42-23-14.5034-23.20830.6249231.58583
43-23-18.6421-21.66670.8604031.23377
44-15-12.4675-20.1250.6195051.20312
45-15-7.7007-18.54170.4153181.94788
46-24-3.8212-17.16670.2225946.28076
47-18-101.925-16.41676.208610.176601
48-14-8.13917-15.91670.5113621.72008
49-7-6.90742-15.250.4529451.0134
50-12-7.61087-14.54170.5233841.57669
51-12-7.28714-14.16670.5143861.64674
52-15-6.86467-13.6250.5038292.1851
53-16-6.98772-12.8750.5427362.28973
54-17-7.91569-12.66670.6249232.14763
55-13-11.9381-13.8750.8604031.08895
56-8-9.88628-15.95830.6195050.809203
57-13-7.47573-180.4153181.73896
58-13-4.4055-19.79170.2225942.95085
59-11-132.709-21.3756.208610.082888
60-16-11.8465-23.16670.5113621.3506
61-34-11.2481-24.83330.4529453.02272
62-35-13.8697-26.50.5233842.52349
63-38-14.4457-28.08330.5143862.63054
64-32-14.9679-29.70830.5038292.1379
65-37-17.3223-31.91670.5427362.13597
66-39-21.4036-34.250.6249231.82212
67-31-30.365-35.29170.8604031.02091
68-30-22.0441-35.58330.6195051.36091
69-29-14.9688-36.04170.4153181.93737
70-36-8.06903-36.250.2225944.4615
71-41-224.286-36.1256.208610.182802
72-42-18.3025-35.79170.5113622.29477
73-33-16.2683-35.91670.4529452.02849
74-43-18.929-36.16670.5233842.27164
75-41-18.6679-36.29170.5143862.19628
76-34-18.2218-36.16670.5038291.86589
77-32-19.041-35.08330.5427361.68059
78-36-20.8047-33.29170.6249231.73038
79-37-26.8517-31.20830.8604031.37794
80-30-17.8108-28.750.6195051.68437
81-32-10.8675-26.16670.4153182.94456
82-30NANA0.222594NA
83-21NANA6.20861NA
84-19NANA0.511362NA
85-6NANA0.452945NA
86-11NANA0.523384NA
87-11NANA0.514386NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & -12 & NA & NA & 0.452945 & NA \tabularnewline
2 & -12 & NA & NA & 0.523384 & NA \tabularnewline
3 & -8 & NA & NA & 0.514386 & NA \tabularnewline
4 & -6 & NA & NA & 0.503829 & NA \tabularnewline
5 & -2 & NA & NA & 0.542736 & NA \tabularnewline
6 & 4 & NA & NA & 0.624923 & NA \tabularnewline
7 & 3 & 0.537752 & 0.625 & 0.860403 & 5.57878 \tabularnewline
8 & 5 & 1.70364 & 2.75 & 0.619505 & 2.93489 \tabularnewline
9 & 8 & 1.88624 & 4.54167 & 0.415318 & 4.24125 \tabularnewline
10 & 5 & 1.35411 & 6.08333 & 0.222594 & 3.69245 \tabularnewline
11 & 3 & 46.5646 & 7.5 & 6.20861 & 0.0644266 \tabularnewline
12 & 6 & 4.47441 & 8.75 & 0.511362 & 1.34096 \tabularnewline
13 & 15 & 4.45396 & 9.83333 & 0.452945 & 3.36779 \tabularnewline
14 & 12 & 5.64818 & 10.7917 & 0.523384 & 2.12458 \tabularnewline
15 & 11 & 5.59395 & 10.875 & 0.514386 & 1.96641 \tabularnewline
16 & 12 & 5.08028 & 10.0833 & 0.503829 & 2.36208 \tabularnewline
17 & 14 & 5.04292 & 9.29167 & 0.542736 & 2.77617 \tabularnewline
18 & 18 & 5.2858 & 8.45833 & 0.624923 & 3.40535 \tabularnewline
19 & 15 & 6.27377 & 7.29167 & 0.860403 & 2.39091 \tabularnewline
20 & 16 & 3.53634 & 5.70833 & 0.619505 & 4.52445 \tabularnewline
21 & -1 & 1.66127 & 4 & 0.415318 & -0.601948 \tabularnewline
22 & -5 & 0.482287 & 2.16667 & 0.222594 & -10.3673 \tabularnewline
23 & -6 & -0.517385 & -0.0833333 & 6.20861 & 11.5968 \tabularnewline
24 & -5 & -1.47016 & -2.875 & 0.511362 & 3.40098 \tabularnewline
25 & -2 & -2.84978 & -6.29167 & 0.452945 & 0.701808 \tabularnewline
26 & -9 & -5.19022 & -9.91667 & 0.523384 & 1.73403 \tabularnewline
27 & -9 & -6.45126 & -12.5417 & 0.514386 & 1.39508 \tabularnewline
28 & -12 & -7.30552 & -14.5 & 0.503829 & 1.64259 \tabularnewline
29 & -16 & -9.06821 & -16.7083 & 0.542736 & 1.76441 \tabularnewline
30 & -19 & -11.8215 & -18.9167 & 0.624923 & 1.60725 \tabularnewline
31 & -30 & -18.1043 & -21.0417 & 0.860403 & 1.65706 \tabularnewline
32 & -26 & -14.197 & -22.9167 & 0.619505 & 1.83137 \tabularnewline
33 & -22 & -10.2791 & -24.75 & 0.415318 & 2.14026 \tabularnewline
34 & -31 & -5.87091 & -26.375 & 0.222594 & 5.28027 \tabularnewline
35 & -33 & -169.185 & -27.25 & 6.20861 & 0.195053 \tabularnewline
36 & -31 & -14.1477 & -27.6667 & 0.511362 & 2.19117 \tabularnewline
37 & -27 & -12.4749 & -27.5417 & 0.452945 & 2.16435 \tabularnewline
38 & -29 & -14.0223 & -26.7917 & 0.523384 & 2.06813 \tabularnewline
39 & -33 & -13.3955 & -26.0417 & 0.514386 & 2.46352 \tabularnewline
40 & -27 & -12.8267 & -25.4583 & 0.503829 & 2.10499 \tabularnewline
41 & -22 & -13.3196 & -24.5417 & 0.542736 & 1.6517 \tabularnewline
42 & -23 & -14.5034 & -23.2083 & 0.624923 & 1.58583 \tabularnewline
43 & -23 & -18.6421 & -21.6667 & 0.860403 & 1.23377 \tabularnewline
44 & -15 & -12.4675 & -20.125 & 0.619505 & 1.20312 \tabularnewline
45 & -15 & -7.7007 & -18.5417 & 0.415318 & 1.94788 \tabularnewline
46 & -24 & -3.8212 & -17.1667 & 0.222594 & 6.28076 \tabularnewline
47 & -18 & -101.925 & -16.4167 & 6.20861 & 0.176601 \tabularnewline
48 & -14 & -8.13917 & -15.9167 & 0.511362 & 1.72008 \tabularnewline
49 & -7 & -6.90742 & -15.25 & 0.452945 & 1.0134 \tabularnewline
50 & -12 & -7.61087 & -14.5417 & 0.523384 & 1.57669 \tabularnewline
51 & -12 & -7.28714 & -14.1667 & 0.514386 & 1.64674 \tabularnewline
52 & -15 & -6.86467 & -13.625 & 0.503829 & 2.1851 \tabularnewline
53 & -16 & -6.98772 & -12.875 & 0.542736 & 2.28973 \tabularnewline
54 & -17 & -7.91569 & -12.6667 & 0.624923 & 2.14763 \tabularnewline
55 & -13 & -11.9381 & -13.875 & 0.860403 & 1.08895 \tabularnewline
56 & -8 & -9.88628 & -15.9583 & 0.619505 & 0.809203 \tabularnewline
57 & -13 & -7.47573 & -18 & 0.415318 & 1.73896 \tabularnewline
58 & -13 & -4.4055 & -19.7917 & 0.222594 & 2.95085 \tabularnewline
59 & -11 & -132.709 & -21.375 & 6.20861 & 0.082888 \tabularnewline
60 & -16 & -11.8465 & -23.1667 & 0.511362 & 1.3506 \tabularnewline
61 & -34 & -11.2481 & -24.8333 & 0.452945 & 3.02272 \tabularnewline
62 & -35 & -13.8697 & -26.5 & 0.523384 & 2.52349 \tabularnewline
63 & -38 & -14.4457 & -28.0833 & 0.514386 & 2.63054 \tabularnewline
64 & -32 & -14.9679 & -29.7083 & 0.503829 & 2.1379 \tabularnewline
65 & -37 & -17.3223 & -31.9167 & 0.542736 & 2.13597 \tabularnewline
66 & -39 & -21.4036 & -34.25 & 0.624923 & 1.82212 \tabularnewline
67 & -31 & -30.365 & -35.2917 & 0.860403 & 1.02091 \tabularnewline
68 & -30 & -22.0441 & -35.5833 & 0.619505 & 1.36091 \tabularnewline
69 & -29 & -14.9688 & -36.0417 & 0.415318 & 1.93737 \tabularnewline
70 & -36 & -8.06903 & -36.25 & 0.222594 & 4.4615 \tabularnewline
71 & -41 & -224.286 & -36.125 & 6.20861 & 0.182802 \tabularnewline
72 & -42 & -18.3025 & -35.7917 & 0.511362 & 2.29477 \tabularnewline
73 & -33 & -16.2683 & -35.9167 & 0.452945 & 2.02849 \tabularnewline
74 & -43 & -18.929 & -36.1667 & 0.523384 & 2.27164 \tabularnewline
75 & -41 & -18.6679 & -36.2917 & 0.514386 & 2.19628 \tabularnewline
76 & -34 & -18.2218 & -36.1667 & 0.503829 & 1.86589 \tabularnewline
77 & -32 & -19.041 & -35.0833 & 0.542736 & 1.68059 \tabularnewline
78 & -36 & -20.8047 & -33.2917 & 0.624923 & 1.73038 \tabularnewline
79 & -37 & -26.8517 & -31.2083 & 0.860403 & 1.37794 \tabularnewline
80 & -30 & -17.8108 & -28.75 & 0.619505 & 1.68437 \tabularnewline
81 & -32 & -10.8675 & -26.1667 & 0.415318 & 2.94456 \tabularnewline
82 & -30 & NA & NA & 0.222594 & NA \tabularnewline
83 & -21 & NA & NA & 6.20861 & NA \tabularnewline
84 & -19 & NA & NA & 0.511362 & NA \tabularnewline
85 & -6 & NA & NA & 0.452945 & NA \tabularnewline
86 & -11 & NA & NA & 0.523384 & NA \tabularnewline
87 & -11 & NA & NA & 0.514386 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285282&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]-12[/C][C]NA[/C][C]NA[/C][C]0.452945[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]-12[/C][C]NA[/C][C]NA[/C][C]0.523384[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]-8[/C][C]NA[/C][C]NA[/C][C]0.514386[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]-6[/C][C]NA[/C][C]NA[/C][C]0.503829[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]-2[/C][C]NA[/C][C]NA[/C][C]0.542736[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4[/C][C]NA[/C][C]NA[/C][C]0.624923[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3[/C][C]0.537752[/C][C]0.625[/C][C]0.860403[/C][C]5.57878[/C][/ROW]
[ROW][C]8[/C][C]5[/C][C]1.70364[/C][C]2.75[/C][C]0.619505[/C][C]2.93489[/C][/ROW]
[ROW][C]9[/C][C]8[/C][C]1.88624[/C][C]4.54167[/C][C]0.415318[/C][C]4.24125[/C][/ROW]
[ROW][C]10[/C][C]5[/C][C]1.35411[/C][C]6.08333[/C][C]0.222594[/C][C]3.69245[/C][/ROW]
[ROW][C]11[/C][C]3[/C][C]46.5646[/C][C]7.5[/C][C]6.20861[/C][C]0.0644266[/C][/ROW]
[ROW][C]12[/C][C]6[/C][C]4.47441[/C][C]8.75[/C][C]0.511362[/C][C]1.34096[/C][/ROW]
[ROW][C]13[/C][C]15[/C][C]4.45396[/C][C]9.83333[/C][C]0.452945[/C][C]3.36779[/C][/ROW]
[ROW][C]14[/C][C]12[/C][C]5.64818[/C][C]10.7917[/C][C]0.523384[/C][C]2.12458[/C][/ROW]
[ROW][C]15[/C][C]11[/C][C]5.59395[/C][C]10.875[/C][C]0.514386[/C][C]1.96641[/C][/ROW]
[ROW][C]16[/C][C]12[/C][C]5.08028[/C][C]10.0833[/C][C]0.503829[/C][C]2.36208[/C][/ROW]
[ROW][C]17[/C][C]14[/C][C]5.04292[/C][C]9.29167[/C][C]0.542736[/C][C]2.77617[/C][/ROW]
[ROW][C]18[/C][C]18[/C][C]5.2858[/C][C]8.45833[/C][C]0.624923[/C][C]3.40535[/C][/ROW]
[ROW][C]19[/C][C]15[/C][C]6.27377[/C][C]7.29167[/C][C]0.860403[/C][C]2.39091[/C][/ROW]
[ROW][C]20[/C][C]16[/C][C]3.53634[/C][C]5.70833[/C][C]0.619505[/C][C]4.52445[/C][/ROW]
[ROW][C]21[/C][C]-1[/C][C]1.66127[/C][C]4[/C][C]0.415318[/C][C]-0.601948[/C][/ROW]
[ROW][C]22[/C][C]-5[/C][C]0.482287[/C][C]2.16667[/C][C]0.222594[/C][C]-10.3673[/C][/ROW]
[ROW][C]23[/C][C]-6[/C][C]-0.517385[/C][C]-0.0833333[/C][C]6.20861[/C][C]11.5968[/C][/ROW]
[ROW][C]24[/C][C]-5[/C][C]-1.47016[/C][C]-2.875[/C][C]0.511362[/C][C]3.40098[/C][/ROW]
[ROW][C]25[/C][C]-2[/C][C]-2.84978[/C][C]-6.29167[/C][C]0.452945[/C][C]0.701808[/C][/ROW]
[ROW][C]26[/C][C]-9[/C][C]-5.19022[/C][C]-9.91667[/C][C]0.523384[/C][C]1.73403[/C][/ROW]
[ROW][C]27[/C][C]-9[/C][C]-6.45126[/C][C]-12.5417[/C][C]0.514386[/C][C]1.39508[/C][/ROW]
[ROW][C]28[/C][C]-12[/C][C]-7.30552[/C][C]-14.5[/C][C]0.503829[/C][C]1.64259[/C][/ROW]
[ROW][C]29[/C][C]-16[/C][C]-9.06821[/C][C]-16.7083[/C][C]0.542736[/C][C]1.76441[/C][/ROW]
[ROW][C]30[/C][C]-19[/C][C]-11.8215[/C][C]-18.9167[/C][C]0.624923[/C][C]1.60725[/C][/ROW]
[ROW][C]31[/C][C]-30[/C][C]-18.1043[/C][C]-21.0417[/C][C]0.860403[/C][C]1.65706[/C][/ROW]
[ROW][C]32[/C][C]-26[/C][C]-14.197[/C][C]-22.9167[/C][C]0.619505[/C][C]1.83137[/C][/ROW]
[ROW][C]33[/C][C]-22[/C][C]-10.2791[/C][C]-24.75[/C][C]0.415318[/C][C]2.14026[/C][/ROW]
[ROW][C]34[/C][C]-31[/C][C]-5.87091[/C][C]-26.375[/C][C]0.222594[/C][C]5.28027[/C][/ROW]
[ROW][C]35[/C][C]-33[/C][C]-169.185[/C][C]-27.25[/C][C]6.20861[/C][C]0.195053[/C][/ROW]
[ROW][C]36[/C][C]-31[/C][C]-14.1477[/C][C]-27.6667[/C][C]0.511362[/C][C]2.19117[/C][/ROW]
[ROW][C]37[/C][C]-27[/C][C]-12.4749[/C][C]-27.5417[/C][C]0.452945[/C][C]2.16435[/C][/ROW]
[ROW][C]38[/C][C]-29[/C][C]-14.0223[/C][C]-26.7917[/C][C]0.523384[/C][C]2.06813[/C][/ROW]
[ROW][C]39[/C][C]-33[/C][C]-13.3955[/C][C]-26.0417[/C][C]0.514386[/C][C]2.46352[/C][/ROW]
[ROW][C]40[/C][C]-27[/C][C]-12.8267[/C][C]-25.4583[/C][C]0.503829[/C][C]2.10499[/C][/ROW]
[ROW][C]41[/C][C]-22[/C][C]-13.3196[/C][C]-24.5417[/C][C]0.542736[/C][C]1.6517[/C][/ROW]
[ROW][C]42[/C][C]-23[/C][C]-14.5034[/C][C]-23.2083[/C][C]0.624923[/C][C]1.58583[/C][/ROW]
[ROW][C]43[/C][C]-23[/C][C]-18.6421[/C][C]-21.6667[/C][C]0.860403[/C][C]1.23377[/C][/ROW]
[ROW][C]44[/C][C]-15[/C][C]-12.4675[/C][C]-20.125[/C][C]0.619505[/C][C]1.20312[/C][/ROW]
[ROW][C]45[/C][C]-15[/C][C]-7.7007[/C][C]-18.5417[/C][C]0.415318[/C][C]1.94788[/C][/ROW]
[ROW][C]46[/C][C]-24[/C][C]-3.8212[/C][C]-17.1667[/C][C]0.222594[/C][C]6.28076[/C][/ROW]
[ROW][C]47[/C][C]-18[/C][C]-101.925[/C][C]-16.4167[/C][C]6.20861[/C][C]0.176601[/C][/ROW]
[ROW][C]48[/C][C]-14[/C][C]-8.13917[/C][C]-15.9167[/C][C]0.511362[/C][C]1.72008[/C][/ROW]
[ROW][C]49[/C][C]-7[/C][C]-6.90742[/C][C]-15.25[/C][C]0.452945[/C][C]1.0134[/C][/ROW]
[ROW][C]50[/C][C]-12[/C][C]-7.61087[/C][C]-14.5417[/C][C]0.523384[/C][C]1.57669[/C][/ROW]
[ROW][C]51[/C][C]-12[/C][C]-7.28714[/C][C]-14.1667[/C][C]0.514386[/C][C]1.64674[/C][/ROW]
[ROW][C]52[/C][C]-15[/C][C]-6.86467[/C][C]-13.625[/C][C]0.503829[/C][C]2.1851[/C][/ROW]
[ROW][C]53[/C][C]-16[/C][C]-6.98772[/C][C]-12.875[/C][C]0.542736[/C][C]2.28973[/C][/ROW]
[ROW][C]54[/C][C]-17[/C][C]-7.91569[/C][C]-12.6667[/C][C]0.624923[/C][C]2.14763[/C][/ROW]
[ROW][C]55[/C][C]-13[/C][C]-11.9381[/C][C]-13.875[/C][C]0.860403[/C][C]1.08895[/C][/ROW]
[ROW][C]56[/C][C]-8[/C][C]-9.88628[/C][C]-15.9583[/C][C]0.619505[/C][C]0.809203[/C][/ROW]
[ROW][C]57[/C][C]-13[/C][C]-7.47573[/C][C]-18[/C][C]0.415318[/C][C]1.73896[/C][/ROW]
[ROW][C]58[/C][C]-13[/C][C]-4.4055[/C][C]-19.7917[/C][C]0.222594[/C][C]2.95085[/C][/ROW]
[ROW][C]59[/C][C]-11[/C][C]-132.709[/C][C]-21.375[/C][C]6.20861[/C][C]0.082888[/C][/ROW]
[ROW][C]60[/C][C]-16[/C][C]-11.8465[/C][C]-23.1667[/C][C]0.511362[/C][C]1.3506[/C][/ROW]
[ROW][C]61[/C][C]-34[/C][C]-11.2481[/C][C]-24.8333[/C][C]0.452945[/C][C]3.02272[/C][/ROW]
[ROW][C]62[/C][C]-35[/C][C]-13.8697[/C][C]-26.5[/C][C]0.523384[/C][C]2.52349[/C][/ROW]
[ROW][C]63[/C][C]-38[/C][C]-14.4457[/C][C]-28.0833[/C][C]0.514386[/C][C]2.63054[/C][/ROW]
[ROW][C]64[/C][C]-32[/C][C]-14.9679[/C][C]-29.7083[/C][C]0.503829[/C][C]2.1379[/C][/ROW]
[ROW][C]65[/C][C]-37[/C][C]-17.3223[/C][C]-31.9167[/C][C]0.542736[/C][C]2.13597[/C][/ROW]
[ROW][C]66[/C][C]-39[/C][C]-21.4036[/C][C]-34.25[/C][C]0.624923[/C][C]1.82212[/C][/ROW]
[ROW][C]67[/C][C]-31[/C][C]-30.365[/C][C]-35.2917[/C][C]0.860403[/C][C]1.02091[/C][/ROW]
[ROW][C]68[/C][C]-30[/C][C]-22.0441[/C][C]-35.5833[/C][C]0.619505[/C][C]1.36091[/C][/ROW]
[ROW][C]69[/C][C]-29[/C][C]-14.9688[/C][C]-36.0417[/C][C]0.415318[/C][C]1.93737[/C][/ROW]
[ROW][C]70[/C][C]-36[/C][C]-8.06903[/C][C]-36.25[/C][C]0.222594[/C][C]4.4615[/C][/ROW]
[ROW][C]71[/C][C]-41[/C][C]-224.286[/C][C]-36.125[/C][C]6.20861[/C][C]0.182802[/C][/ROW]
[ROW][C]72[/C][C]-42[/C][C]-18.3025[/C][C]-35.7917[/C][C]0.511362[/C][C]2.29477[/C][/ROW]
[ROW][C]73[/C][C]-33[/C][C]-16.2683[/C][C]-35.9167[/C][C]0.452945[/C][C]2.02849[/C][/ROW]
[ROW][C]74[/C][C]-43[/C][C]-18.929[/C][C]-36.1667[/C][C]0.523384[/C][C]2.27164[/C][/ROW]
[ROW][C]75[/C][C]-41[/C][C]-18.6679[/C][C]-36.2917[/C][C]0.514386[/C][C]2.19628[/C][/ROW]
[ROW][C]76[/C][C]-34[/C][C]-18.2218[/C][C]-36.1667[/C][C]0.503829[/C][C]1.86589[/C][/ROW]
[ROW][C]77[/C][C]-32[/C][C]-19.041[/C][C]-35.0833[/C][C]0.542736[/C][C]1.68059[/C][/ROW]
[ROW][C]78[/C][C]-36[/C][C]-20.8047[/C][C]-33.2917[/C][C]0.624923[/C][C]1.73038[/C][/ROW]
[ROW][C]79[/C][C]-37[/C][C]-26.8517[/C][C]-31.2083[/C][C]0.860403[/C][C]1.37794[/C][/ROW]
[ROW][C]80[/C][C]-30[/C][C]-17.8108[/C][C]-28.75[/C][C]0.619505[/C][C]1.68437[/C][/ROW]
[ROW][C]81[/C][C]-32[/C][C]-10.8675[/C][C]-26.1667[/C][C]0.415318[/C][C]2.94456[/C][/ROW]
[ROW][C]82[/C][C]-30[/C][C]NA[/C][C]NA[/C][C]0.222594[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]-21[/C][C]NA[/C][C]NA[/C][C]6.20861[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]-19[/C][C]NA[/C][C]NA[/C][C]0.511362[/C][C]NA[/C][/ROW]
[ROW][C]85[/C][C]-6[/C][C]NA[/C][C]NA[/C][C]0.452945[/C][C]NA[/C][/ROW]
[ROW][C]86[/C][C]-11[/C][C]NA[/C][C]NA[/C][C]0.523384[/C][C]NA[/C][/ROW]
[ROW][C]87[/C][C]-11[/C][C]NA[/C][C]NA[/C][C]0.514386[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285282&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285282&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
1-12NANA0.452945NA
2-12NANA0.523384NA
3-8NANA0.514386NA
4-6NANA0.503829NA
5-2NANA0.542736NA
64NANA0.624923NA
730.5377520.6250.8604035.57878
851.703642.750.6195052.93489
981.886244.541670.4153184.24125
1051.354116.083330.2225943.69245
11346.56467.56.208610.0644266
1264.474418.750.5113621.34096
13154.453969.833330.4529453.36779
14125.6481810.79170.5233842.12458
15115.5939510.8750.5143861.96641
16125.0802810.08330.5038292.36208
17145.042929.291670.5427362.77617
18185.28588.458330.6249233.40535
19156.273777.291670.8604032.39091
20163.536345.708330.6195054.52445
21-11.6612740.415318-0.601948
22-50.4822872.166670.222594-10.3673
23-6-0.517385-0.08333336.2086111.5968
24-5-1.47016-2.8750.5113623.40098
25-2-2.84978-6.291670.4529450.701808
26-9-5.19022-9.916670.5233841.73403
27-9-6.45126-12.54170.5143861.39508
28-12-7.30552-14.50.5038291.64259
29-16-9.06821-16.70830.5427361.76441
30-19-11.8215-18.91670.6249231.60725
31-30-18.1043-21.04170.8604031.65706
32-26-14.197-22.91670.6195051.83137
33-22-10.2791-24.750.4153182.14026
34-31-5.87091-26.3750.2225945.28027
35-33-169.185-27.256.208610.195053
36-31-14.1477-27.66670.5113622.19117
37-27-12.4749-27.54170.4529452.16435
38-29-14.0223-26.79170.5233842.06813
39-33-13.3955-26.04170.5143862.46352
40-27-12.8267-25.45830.5038292.10499
41-22-13.3196-24.54170.5427361.6517
42-23-14.5034-23.20830.6249231.58583
43-23-18.6421-21.66670.8604031.23377
44-15-12.4675-20.1250.6195051.20312
45-15-7.7007-18.54170.4153181.94788
46-24-3.8212-17.16670.2225946.28076
47-18-101.925-16.41676.208610.176601
48-14-8.13917-15.91670.5113621.72008
49-7-6.90742-15.250.4529451.0134
50-12-7.61087-14.54170.5233841.57669
51-12-7.28714-14.16670.5143861.64674
52-15-6.86467-13.6250.5038292.1851
53-16-6.98772-12.8750.5427362.28973
54-17-7.91569-12.66670.6249232.14763
55-13-11.9381-13.8750.8604031.08895
56-8-9.88628-15.95830.6195050.809203
57-13-7.47573-180.4153181.73896
58-13-4.4055-19.79170.2225942.95085
59-11-132.709-21.3756.208610.082888
60-16-11.8465-23.16670.5113621.3506
61-34-11.2481-24.83330.4529453.02272
62-35-13.8697-26.50.5233842.52349
63-38-14.4457-28.08330.5143862.63054
64-32-14.9679-29.70830.5038292.1379
65-37-17.3223-31.91670.5427362.13597
66-39-21.4036-34.250.6249231.82212
67-31-30.365-35.29170.8604031.02091
68-30-22.0441-35.58330.6195051.36091
69-29-14.9688-36.04170.4153181.93737
70-36-8.06903-36.250.2225944.4615
71-41-224.286-36.1256.208610.182802
72-42-18.3025-35.79170.5113622.29477
73-33-16.2683-35.91670.4529452.02849
74-43-18.929-36.16670.5233842.27164
75-41-18.6679-36.29170.5143862.19628
76-34-18.2218-36.16670.5038291.86589
77-32-19.041-35.08330.5427361.68059
78-36-20.8047-33.29170.6249231.73038
79-37-26.8517-31.20830.8604031.37794
80-30-17.8108-28.750.6195051.68437
81-32-10.8675-26.16670.4153182.94456
82-30NANA0.222594NA
83-21NANA6.20861NA
84-19NANA0.511362NA
85-6NANA0.452945NA
86-11NANA0.523384NA
87-11NANA0.514386NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')