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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 12 May 2014 07:58:42 -0400
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/May/12/t1399896136c4m29x0flozp5pv.htm/, Retrieved Wed, 15 May 2024 10:31:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234819, Retrieved Wed, 15 May 2024 10:31:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-05-12 11:58:42] [67026c9811d097a2c582f1dcce4b8e60] [Current]
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Dataseries X:
-2
0
1
-3
-3
-5
-7
-7
-5
-13
-16
-20
-18
-21
-20
-16
-14
-12
-10
-3
-4
-4
-1
-8
-10
-11
-7
-2
-6
-4
0
2
2
5
8
8
5
10
6
6
9
5
5
-4
-5
-1
-8
-8
-13
-18
-8
-8
-6
-5
-11
-14
-12
-13
-19
-21
-22
-13
-21
-17
-15
-14
-11
-8
-3
-2
-1
1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234819&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234819&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234819&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1-2NANA-3.78056NA
20NANA-2.73889NA
31NANA-2.14722NA
4-3NANA0.344444NA
5-3NANA1.12778NA
6-5NANA1.22778NA
7-7-5.48056-7.333331.85278-1.51944
8-7-7.34722-8.8751.527780.347222
9-5-8.40556-10.6252.219443.40556
10-13-9.92222-12.04172.11944-3.07778
11-16-12.7056-13.04170.336111-3.29444
12-20-15.8806-13.7917-2.08889-4.11944
13-18-17.9889-14.2083-3.78056-0.0111111
14-21-16.9056-14.1667-2.73889-4.09444
15-20-16.1056-13.9583-2.14722-3.89444
16-16-13.1972-13.54170.344444-2.80278
17-14-11.4139-12.54171.12778-2.58611
18-12-10.1889-11.41671.22778-1.81111
19-10-8.73056-10.58331.85278-1.26944
20-3-8.30556-9.833331.527785.30556
21-4-6.65556-8.8752.219442.65556
22-4-5.63056-7.752.119441.63056
23-1-6.49722-6.833330.3361115.49722
24-8-8.25556-6.16667-2.088890.255556
25-10-9.19722-5.41667-3.78056-0.802778
26-11-7.53056-4.79167-2.73889-3.46944
27-7-6.48056-4.33333-2.14722-0.519444
28-2-3.36389-3.708330.3444441.36389
29-6-1.83056-2.958331.12778-4.16944
30-4-0.688889-1.916671.22778-3.31111
3101.22778-0.6251.85278-1.22778
3222.402780.8751.52778-0.402778
3324.511112.291672.21944-2.51111
3455.286113.166672.11944-0.286111
3584.461114.1250.3361113.53889
3683.036115.125-2.088894.96389
3751.927785.70833-3.780563.07222
38102.927785.66667-2.738897.07222
3962.977785.125-2.147223.02222
4064.927784.583330.3444441.07222
4194.794443.666671.127784.20556
4253.561112.333331.227781.43889
4352.769440.9166671.852782.23056
44-40.527778-11.52778-4.52778
45-5-0.530556-2.752.21944-4.46944
46-1-1.79722-3.916672.119440.797222
47-8-4.78889-5.1250.336111-3.21111
48-8-8.25556-6.16667-2.088890.255556
49-13-11.0306-7.25-3.78056-1.96944
50-18-11.0722-8.33333-2.73889-6.92778
51-8-11.1889-9.04167-2.147223.18889
52-8-9.48889-9.833330.3444441.48889
53-6-9.66389-10.79171.127783.66389
54-5-10.5639-11.79171.227785.56389
55-11-10.8556-12.70831.85278-0.144444
56-14-11.3472-12.8751.52778-2.65278
57-12-10.9889-13.20832.21944-1.01111
58-13-12.0056-14.1252.11944-0.994444
59-19-14.5389-14.8750.336111-4.46111
60-21-17.7139-15.625-2.08889-3.28611
61-22-19.7806-16-3.78056-2.21944
62-13-18.4889-15.75-2.738895.48889
63-21-17.2722-15.125-2.14722-3.72778
64-17-13.9472-14.29170.344444-3.05278
65-15-11.9556-13.08331.12778-3.04444
66-14-10.1889-11.41671.22778-3.81111
67-11NANA1.85278NA
68-8NANA1.52778NA
69-3NANA2.21944NA
70-2NANA2.11944NA
71-1NANA0.336111NA
721NANA-2.08889NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & -2 & NA & NA & -3.78056 & NA \tabularnewline
2 & 0 & NA & NA & -2.73889 & NA \tabularnewline
3 & 1 & NA & NA & -2.14722 & NA \tabularnewline
4 & -3 & NA & NA & 0.344444 & NA \tabularnewline
5 & -3 & NA & NA & 1.12778 & NA \tabularnewline
6 & -5 & NA & NA & 1.22778 & NA \tabularnewline
7 & -7 & -5.48056 & -7.33333 & 1.85278 & -1.51944 \tabularnewline
8 & -7 & -7.34722 & -8.875 & 1.52778 & 0.347222 \tabularnewline
9 & -5 & -8.40556 & -10.625 & 2.21944 & 3.40556 \tabularnewline
10 & -13 & -9.92222 & -12.0417 & 2.11944 & -3.07778 \tabularnewline
11 & -16 & -12.7056 & -13.0417 & 0.336111 & -3.29444 \tabularnewline
12 & -20 & -15.8806 & -13.7917 & -2.08889 & -4.11944 \tabularnewline
13 & -18 & -17.9889 & -14.2083 & -3.78056 & -0.0111111 \tabularnewline
14 & -21 & -16.9056 & -14.1667 & -2.73889 & -4.09444 \tabularnewline
15 & -20 & -16.1056 & -13.9583 & -2.14722 & -3.89444 \tabularnewline
16 & -16 & -13.1972 & -13.5417 & 0.344444 & -2.80278 \tabularnewline
17 & -14 & -11.4139 & -12.5417 & 1.12778 & -2.58611 \tabularnewline
18 & -12 & -10.1889 & -11.4167 & 1.22778 & -1.81111 \tabularnewline
19 & -10 & -8.73056 & -10.5833 & 1.85278 & -1.26944 \tabularnewline
20 & -3 & -8.30556 & -9.83333 & 1.52778 & 5.30556 \tabularnewline
21 & -4 & -6.65556 & -8.875 & 2.21944 & 2.65556 \tabularnewline
22 & -4 & -5.63056 & -7.75 & 2.11944 & 1.63056 \tabularnewline
23 & -1 & -6.49722 & -6.83333 & 0.336111 & 5.49722 \tabularnewline
24 & -8 & -8.25556 & -6.16667 & -2.08889 & 0.255556 \tabularnewline
25 & -10 & -9.19722 & -5.41667 & -3.78056 & -0.802778 \tabularnewline
26 & -11 & -7.53056 & -4.79167 & -2.73889 & -3.46944 \tabularnewline
27 & -7 & -6.48056 & -4.33333 & -2.14722 & -0.519444 \tabularnewline
28 & -2 & -3.36389 & -3.70833 & 0.344444 & 1.36389 \tabularnewline
29 & -6 & -1.83056 & -2.95833 & 1.12778 & -4.16944 \tabularnewline
30 & -4 & -0.688889 & -1.91667 & 1.22778 & -3.31111 \tabularnewline
31 & 0 & 1.22778 & -0.625 & 1.85278 & -1.22778 \tabularnewline
32 & 2 & 2.40278 & 0.875 & 1.52778 & -0.402778 \tabularnewline
33 & 2 & 4.51111 & 2.29167 & 2.21944 & -2.51111 \tabularnewline
34 & 5 & 5.28611 & 3.16667 & 2.11944 & -0.286111 \tabularnewline
35 & 8 & 4.46111 & 4.125 & 0.336111 & 3.53889 \tabularnewline
36 & 8 & 3.03611 & 5.125 & -2.08889 & 4.96389 \tabularnewline
37 & 5 & 1.92778 & 5.70833 & -3.78056 & 3.07222 \tabularnewline
38 & 10 & 2.92778 & 5.66667 & -2.73889 & 7.07222 \tabularnewline
39 & 6 & 2.97778 & 5.125 & -2.14722 & 3.02222 \tabularnewline
40 & 6 & 4.92778 & 4.58333 & 0.344444 & 1.07222 \tabularnewline
41 & 9 & 4.79444 & 3.66667 & 1.12778 & 4.20556 \tabularnewline
42 & 5 & 3.56111 & 2.33333 & 1.22778 & 1.43889 \tabularnewline
43 & 5 & 2.76944 & 0.916667 & 1.85278 & 2.23056 \tabularnewline
44 & -4 & 0.527778 & -1 & 1.52778 & -4.52778 \tabularnewline
45 & -5 & -0.530556 & -2.75 & 2.21944 & -4.46944 \tabularnewline
46 & -1 & -1.79722 & -3.91667 & 2.11944 & 0.797222 \tabularnewline
47 & -8 & -4.78889 & -5.125 & 0.336111 & -3.21111 \tabularnewline
48 & -8 & -8.25556 & -6.16667 & -2.08889 & 0.255556 \tabularnewline
49 & -13 & -11.0306 & -7.25 & -3.78056 & -1.96944 \tabularnewline
50 & -18 & -11.0722 & -8.33333 & -2.73889 & -6.92778 \tabularnewline
51 & -8 & -11.1889 & -9.04167 & -2.14722 & 3.18889 \tabularnewline
52 & -8 & -9.48889 & -9.83333 & 0.344444 & 1.48889 \tabularnewline
53 & -6 & -9.66389 & -10.7917 & 1.12778 & 3.66389 \tabularnewline
54 & -5 & -10.5639 & -11.7917 & 1.22778 & 5.56389 \tabularnewline
55 & -11 & -10.8556 & -12.7083 & 1.85278 & -0.144444 \tabularnewline
56 & -14 & -11.3472 & -12.875 & 1.52778 & -2.65278 \tabularnewline
57 & -12 & -10.9889 & -13.2083 & 2.21944 & -1.01111 \tabularnewline
58 & -13 & -12.0056 & -14.125 & 2.11944 & -0.994444 \tabularnewline
59 & -19 & -14.5389 & -14.875 & 0.336111 & -4.46111 \tabularnewline
60 & -21 & -17.7139 & -15.625 & -2.08889 & -3.28611 \tabularnewline
61 & -22 & -19.7806 & -16 & -3.78056 & -2.21944 \tabularnewline
62 & -13 & -18.4889 & -15.75 & -2.73889 & 5.48889 \tabularnewline
63 & -21 & -17.2722 & -15.125 & -2.14722 & -3.72778 \tabularnewline
64 & -17 & -13.9472 & -14.2917 & 0.344444 & -3.05278 \tabularnewline
65 & -15 & -11.9556 & -13.0833 & 1.12778 & -3.04444 \tabularnewline
66 & -14 & -10.1889 & -11.4167 & 1.22778 & -3.81111 \tabularnewline
67 & -11 & NA & NA & 1.85278 & NA \tabularnewline
68 & -8 & NA & NA & 1.52778 & NA \tabularnewline
69 & -3 & NA & NA & 2.21944 & NA \tabularnewline
70 & -2 & NA & NA & 2.11944 & NA \tabularnewline
71 & -1 & NA & NA & 0.336111 & NA \tabularnewline
72 & 1 & NA & NA & -2.08889 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234819&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]-2[/C][C]NA[/C][C]NA[/C][C]-3.78056[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]0[/C][C]NA[/C][C]NA[/C][C]-2.73889[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1[/C][C]NA[/C][C]NA[/C][C]-2.14722[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]-3[/C][C]NA[/C][C]NA[/C][C]0.344444[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]-3[/C][C]NA[/C][C]NA[/C][C]1.12778[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]-5[/C][C]NA[/C][C]NA[/C][C]1.22778[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]-7[/C][C]-5.48056[/C][C]-7.33333[/C][C]1.85278[/C][C]-1.51944[/C][/ROW]
[ROW][C]8[/C][C]-7[/C][C]-7.34722[/C][C]-8.875[/C][C]1.52778[/C][C]0.347222[/C][/ROW]
[ROW][C]9[/C][C]-5[/C][C]-8.40556[/C][C]-10.625[/C][C]2.21944[/C][C]3.40556[/C][/ROW]
[ROW][C]10[/C][C]-13[/C][C]-9.92222[/C][C]-12.0417[/C][C]2.11944[/C][C]-3.07778[/C][/ROW]
[ROW][C]11[/C][C]-16[/C][C]-12.7056[/C][C]-13.0417[/C][C]0.336111[/C][C]-3.29444[/C][/ROW]
[ROW][C]12[/C][C]-20[/C][C]-15.8806[/C][C]-13.7917[/C][C]-2.08889[/C][C]-4.11944[/C][/ROW]
[ROW][C]13[/C][C]-18[/C][C]-17.9889[/C][C]-14.2083[/C][C]-3.78056[/C][C]-0.0111111[/C][/ROW]
[ROW][C]14[/C][C]-21[/C][C]-16.9056[/C][C]-14.1667[/C][C]-2.73889[/C][C]-4.09444[/C][/ROW]
[ROW][C]15[/C][C]-20[/C][C]-16.1056[/C][C]-13.9583[/C][C]-2.14722[/C][C]-3.89444[/C][/ROW]
[ROW][C]16[/C][C]-16[/C][C]-13.1972[/C][C]-13.5417[/C][C]0.344444[/C][C]-2.80278[/C][/ROW]
[ROW][C]17[/C][C]-14[/C][C]-11.4139[/C][C]-12.5417[/C][C]1.12778[/C][C]-2.58611[/C][/ROW]
[ROW][C]18[/C][C]-12[/C][C]-10.1889[/C][C]-11.4167[/C][C]1.22778[/C][C]-1.81111[/C][/ROW]
[ROW][C]19[/C][C]-10[/C][C]-8.73056[/C][C]-10.5833[/C][C]1.85278[/C][C]-1.26944[/C][/ROW]
[ROW][C]20[/C][C]-3[/C][C]-8.30556[/C][C]-9.83333[/C][C]1.52778[/C][C]5.30556[/C][/ROW]
[ROW][C]21[/C][C]-4[/C][C]-6.65556[/C][C]-8.875[/C][C]2.21944[/C][C]2.65556[/C][/ROW]
[ROW][C]22[/C][C]-4[/C][C]-5.63056[/C][C]-7.75[/C][C]2.11944[/C][C]1.63056[/C][/ROW]
[ROW][C]23[/C][C]-1[/C][C]-6.49722[/C][C]-6.83333[/C][C]0.336111[/C][C]5.49722[/C][/ROW]
[ROW][C]24[/C][C]-8[/C][C]-8.25556[/C][C]-6.16667[/C][C]-2.08889[/C][C]0.255556[/C][/ROW]
[ROW][C]25[/C][C]-10[/C][C]-9.19722[/C][C]-5.41667[/C][C]-3.78056[/C][C]-0.802778[/C][/ROW]
[ROW][C]26[/C][C]-11[/C][C]-7.53056[/C][C]-4.79167[/C][C]-2.73889[/C][C]-3.46944[/C][/ROW]
[ROW][C]27[/C][C]-7[/C][C]-6.48056[/C][C]-4.33333[/C][C]-2.14722[/C][C]-0.519444[/C][/ROW]
[ROW][C]28[/C][C]-2[/C][C]-3.36389[/C][C]-3.70833[/C][C]0.344444[/C][C]1.36389[/C][/ROW]
[ROW][C]29[/C][C]-6[/C][C]-1.83056[/C][C]-2.95833[/C][C]1.12778[/C][C]-4.16944[/C][/ROW]
[ROW][C]30[/C][C]-4[/C][C]-0.688889[/C][C]-1.91667[/C][C]1.22778[/C][C]-3.31111[/C][/ROW]
[ROW][C]31[/C][C]0[/C][C]1.22778[/C][C]-0.625[/C][C]1.85278[/C][C]-1.22778[/C][/ROW]
[ROW][C]32[/C][C]2[/C][C]2.40278[/C][C]0.875[/C][C]1.52778[/C][C]-0.402778[/C][/ROW]
[ROW][C]33[/C][C]2[/C][C]4.51111[/C][C]2.29167[/C][C]2.21944[/C][C]-2.51111[/C][/ROW]
[ROW][C]34[/C][C]5[/C][C]5.28611[/C][C]3.16667[/C][C]2.11944[/C][C]-0.286111[/C][/ROW]
[ROW][C]35[/C][C]8[/C][C]4.46111[/C][C]4.125[/C][C]0.336111[/C][C]3.53889[/C][/ROW]
[ROW][C]36[/C][C]8[/C][C]3.03611[/C][C]5.125[/C][C]-2.08889[/C][C]4.96389[/C][/ROW]
[ROW][C]37[/C][C]5[/C][C]1.92778[/C][C]5.70833[/C][C]-3.78056[/C][C]3.07222[/C][/ROW]
[ROW][C]38[/C][C]10[/C][C]2.92778[/C][C]5.66667[/C][C]-2.73889[/C][C]7.07222[/C][/ROW]
[ROW][C]39[/C][C]6[/C][C]2.97778[/C][C]5.125[/C][C]-2.14722[/C][C]3.02222[/C][/ROW]
[ROW][C]40[/C][C]6[/C][C]4.92778[/C][C]4.58333[/C][C]0.344444[/C][C]1.07222[/C][/ROW]
[ROW][C]41[/C][C]9[/C][C]4.79444[/C][C]3.66667[/C][C]1.12778[/C][C]4.20556[/C][/ROW]
[ROW][C]42[/C][C]5[/C][C]3.56111[/C][C]2.33333[/C][C]1.22778[/C][C]1.43889[/C][/ROW]
[ROW][C]43[/C][C]5[/C][C]2.76944[/C][C]0.916667[/C][C]1.85278[/C][C]2.23056[/C][/ROW]
[ROW][C]44[/C][C]-4[/C][C]0.527778[/C][C]-1[/C][C]1.52778[/C][C]-4.52778[/C][/ROW]
[ROW][C]45[/C][C]-5[/C][C]-0.530556[/C][C]-2.75[/C][C]2.21944[/C][C]-4.46944[/C][/ROW]
[ROW][C]46[/C][C]-1[/C][C]-1.79722[/C][C]-3.91667[/C][C]2.11944[/C][C]0.797222[/C][/ROW]
[ROW][C]47[/C][C]-8[/C][C]-4.78889[/C][C]-5.125[/C][C]0.336111[/C][C]-3.21111[/C][/ROW]
[ROW][C]48[/C][C]-8[/C][C]-8.25556[/C][C]-6.16667[/C][C]-2.08889[/C][C]0.255556[/C][/ROW]
[ROW][C]49[/C][C]-13[/C][C]-11.0306[/C][C]-7.25[/C][C]-3.78056[/C][C]-1.96944[/C][/ROW]
[ROW][C]50[/C][C]-18[/C][C]-11.0722[/C][C]-8.33333[/C][C]-2.73889[/C][C]-6.92778[/C][/ROW]
[ROW][C]51[/C][C]-8[/C][C]-11.1889[/C][C]-9.04167[/C][C]-2.14722[/C][C]3.18889[/C][/ROW]
[ROW][C]52[/C][C]-8[/C][C]-9.48889[/C][C]-9.83333[/C][C]0.344444[/C][C]1.48889[/C][/ROW]
[ROW][C]53[/C][C]-6[/C][C]-9.66389[/C][C]-10.7917[/C][C]1.12778[/C][C]3.66389[/C][/ROW]
[ROW][C]54[/C][C]-5[/C][C]-10.5639[/C][C]-11.7917[/C][C]1.22778[/C][C]5.56389[/C][/ROW]
[ROW][C]55[/C][C]-11[/C][C]-10.8556[/C][C]-12.7083[/C][C]1.85278[/C][C]-0.144444[/C][/ROW]
[ROW][C]56[/C][C]-14[/C][C]-11.3472[/C][C]-12.875[/C][C]1.52778[/C][C]-2.65278[/C][/ROW]
[ROW][C]57[/C][C]-12[/C][C]-10.9889[/C][C]-13.2083[/C][C]2.21944[/C][C]-1.01111[/C][/ROW]
[ROW][C]58[/C][C]-13[/C][C]-12.0056[/C][C]-14.125[/C][C]2.11944[/C][C]-0.994444[/C][/ROW]
[ROW][C]59[/C][C]-19[/C][C]-14.5389[/C][C]-14.875[/C][C]0.336111[/C][C]-4.46111[/C][/ROW]
[ROW][C]60[/C][C]-21[/C][C]-17.7139[/C][C]-15.625[/C][C]-2.08889[/C][C]-3.28611[/C][/ROW]
[ROW][C]61[/C][C]-22[/C][C]-19.7806[/C][C]-16[/C][C]-3.78056[/C][C]-2.21944[/C][/ROW]
[ROW][C]62[/C][C]-13[/C][C]-18.4889[/C][C]-15.75[/C][C]-2.73889[/C][C]5.48889[/C][/ROW]
[ROW][C]63[/C][C]-21[/C][C]-17.2722[/C][C]-15.125[/C][C]-2.14722[/C][C]-3.72778[/C][/ROW]
[ROW][C]64[/C][C]-17[/C][C]-13.9472[/C][C]-14.2917[/C][C]0.344444[/C][C]-3.05278[/C][/ROW]
[ROW][C]65[/C][C]-15[/C][C]-11.9556[/C][C]-13.0833[/C][C]1.12778[/C][C]-3.04444[/C][/ROW]
[ROW][C]66[/C][C]-14[/C][C]-10.1889[/C][C]-11.4167[/C][C]1.22778[/C][C]-3.81111[/C][/ROW]
[ROW][C]67[/C][C]-11[/C][C]NA[/C][C]NA[/C][C]1.85278[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]-8[/C][C]NA[/C][C]NA[/C][C]1.52778[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]-3[/C][C]NA[/C][C]NA[/C][C]2.21944[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]-2[/C][C]NA[/C][C]NA[/C][C]2.11944[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]-1[/C][C]NA[/C][C]NA[/C][C]0.336111[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]1[/C][C]NA[/C][C]NA[/C][C]-2.08889[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234819&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234819&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
1-2NANA-3.78056NA
20NANA-2.73889NA
31NANA-2.14722NA
4-3NANA0.344444NA
5-3NANA1.12778NA
6-5NANA1.22778NA
7-7-5.48056-7.333331.85278-1.51944
8-7-7.34722-8.8751.527780.347222
9-5-8.40556-10.6252.219443.40556
10-13-9.92222-12.04172.11944-3.07778
11-16-12.7056-13.04170.336111-3.29444
12-20-15.8806-13.7917-2.08889-4.11944
13-18-17.9889-14.2083-3.78056-0.0111111
14-21-16.9056-14.1667-2.73889-4.09444
15-20-16.1056-13.9583-2.14722-3.89444
16-16-13.1972-13.54170.344444-2.80278
17-14-11.4139-12.54171.12778-2.58611
18-12-10.1889-11.41671.22778-1.81111
19-10-8.73056-10.58331.85278-1.26944
20-3-8.30556-9.833331.527785.30556
21-4-6.65556-8.8752.219442.65556
22-4-5.63056-7.752.119441.63056
23-1-6.49722-6.833330.3361115.49722
24-8-8.25556-6.16667-2.088890.255556
25-10-9.19722-5.41667-3.78056-0.802778
26-11-7.53056-4.79167-2.73889-3.46944
27-7-6.48056-4.33333-2.14722-0.519444
28-2-3.36389-3.708330.3444441.36389
29-6-1.83056-2.958331.12778-4.16944
30-4-0.688889-1.916671.22778-3.31111
3101.22778-0.6251.85278-1.22778
3222.402780.8751.52778-0.402778
3324.511112.291672.21944-2.51111
3455.286113.166672.11944-0.286111
3584.461114.1250.3361113.53889
3683.036115.125-2.088894.96389
3751.927785.70833-3.780563.07222
38102.927785.66667-2.738897.07222
3962.977785.125-2.147223.02222
4064.927784.583330.3444441.07222
4194.794443.666671.127784.20556
4253.561112.333331.227781.43889
4352.769440.9166671.852782.23056
44-40.527778-11.52778-4.52778
45-5-0.530556-2.752.21944-4.46944
46-1-1.79722-3.916672.119440.797222
47-8-4.78889-5.1250.336111-3.21111
48-8-8.25556-6.16667-2.088890.255556
49-13-11.0306-7.25-3.78056-1.96944
50-18-11.0722-8.33333-2.73889-6.92778
51-8-11.1889-9.04167-2.147223.18889
52-8-9.48889-9.833330.3444441.48889
53-6-9.66389-10.79171.127783.66389
54-5-10.5639-11.79171.227785.56389
55-11-10.8556-12.70831.85278-0.144444
56-14-11.3472-12.8751.52778-2.65278
57-12-10.9889-13.20832.21944-1.01111
58-13-12.0056-14.1252.11944-0.994444
59-19-14.5389-14.8750.336111-4.46111
60-21-17.7139-15.625-2.08889-3.28611
61-22-19.7806-16-3.78056-2.21944
62-13-18.4889-15.75-2.738895.48889
63-21-17.2722-15.125-2.14722-3.72778
64-17-13.9472-14.29170.344444-3.05278
65-15-11.9556-13.08331.12778-3.04444
66-14-10.1889-11.41671.22778-3.81111
67-11NANA1.85278NA
68-8NANA1.52778NA
69-3NANA2.21944NA
70-2NANA2.11944NA
71-1NANA0.336111NA
721NANA-2.08889NA



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')