Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 26 Jan 2010 03:55:18 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jan/26/t1264503412xgtez12vwj98sub.htm/, Retrieved Thu, 02 May 2024 19:51:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72589, Retrieved Thu, 02 May 2024 19:51:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W52
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Opgave 9 opdracht 2] [2010-01-26 10:55:18] [2c3906e099e396db093769aeca236bf5] [Current]
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Dataseries X:
24.3
29.4
31.8
36.7
37.1
37.7
39.4
43.3
39.6
34.3
32
29.6
22.3
28.9
31.7
34.2
38.6
37.2
38.8
43.4
38.8
36.3
33
29.2
22.64
28.44
30.14
34.39
36.82
36.74
38.9
42.8
39.09
37.49
33.17
30.98
21.2
27.8
29
35.4
37.5
34.7
38.4
39.9
35.9
34.7
30.4
29
21.5
28
29.3
34.3
36.6
36.2
37.5
41.6
39.4
37.3
32.7
30.7
22.9
29.1
29.5
37.1
37.7
38.4
39.4
40.6
39.7
36.6
32.8
31.6
24.1
30.3
31.8
38.7
37.8
38.4
40.7
43.8
41.5
39.3
35.9
33.4




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72589&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72589&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72589&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' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
124.3NANA-11.6793865740741NA
229.4NANA-5.37521990740741NA
331.8NANA-3.90855324074074NA
436.7NANA1.48519675925926NA
537.1NANA3.24505787037037NA
637.7NANA2.62825231481481NA
739.439.19797453703734.51666666666674.681307870370370.202025462962965
843.342.288946759259334.41257.876446759259261.01105324074074
939.639.072696759259334.38754.685196759259260.527303240740736
1034.336.317141203703734.27916666666672.03797453703704-2.01714120370371
113232.486724537037034.2375-1.75077546296296-0.486724537037041
1229.630.353668981481534.2791666666667-3.92549768518518-0.753668981481482
1322.322.553946759259334.2333333333333-11.6793865740741-0.253946759259257
1428.928.837280092592634.2125-5.375219907407410.0627199074074056
1531.730.274780092592634.1833333333333-3.908553240740741.42521990740741
1634.235.718530092592634.23333333333331.48519675925926-1.51853009259259
1738.637.603391203703734.35833333333333.245057870370370.996608796296293
1837.237.011585648148134.38333333333332.628252314814810.188414351851854
1938.839.062141203703734.38083333333334.68130787037037-0.262141203703706
2043.442.252280092592634.37583333333337.876446759259261.14771990740741
2138.838.976863425925934.29166666666674.68519675925926-0.17686342592593
2236.336.272557870370434.23458333333332.037974537037040.0274421296296268
233332.417557870370434.1683333333333-1.750775462962960.582442129629626
2429.230.149502314814834.075-3.92549768518518-0.949502314814815
2522.6422.380613425925934.06-11.67938657407410.259386574074078
2628.4428.663946759259234.0391666666667-5.37521990740741-0.223946759259249
2730.1430.117696759259334.02625-3.908553240740740.0223032407407331
2834.3935.573113425925934.08791666666671.48519675925926-1.18311342592593
2936.8237.389641203703734.14458333333333.24505787037037-0.56964120370371
3036.7436.854085648148234.22583333333332.62825231481481-0.114085648148155
3138.938.921307870370434.244.68130787037037-0.0213078703703715
3242.842.029780092592634.15333333333337.876446759259260.770219907407402
3339.0938.764363425925934.07916666666674.685196759259260.325636574074075
3437.4936.111724537037034.073752.037974537037041.37827546296297
3533.1732.393391203703734.1441666666667-1.750775462962960.776608796296301
3630.9830.162002314814834.0875-3.925497685185180.817997685185183
3721.222.302280092592633.9816666666667-11.6793865740741-1.10228009259259
3827.828.464780092592633.84-5.37521990740741-0.664780092592594
392929.677696759259333.58625-3.90855324074074-0.677696759259263
4035.434.822280092592633.33708333333331.485196759259260.577719907407406
4137.536.350474537037033.10541666666673.245057870370371.14952546296296
4234.735.535752314814832.90752.62825231481481-0.835752314814812
4338.437.518807870370432.83754.681307870370370.881192129629632
4439.940.734780092592632.85833333333337.87644675925926-0.834780092592595
4535.937.564363425925932.87916666666674.68519675925926-1.66436342592592
4634.734.883807870370432.84583333333332.03797453703704-0.183807870370366
4730.431.011724537037032.7625-1.75077546296296-0.611724537037034
482928.862002314814832.7875-3.925497685185180.137997685185191
4921.521.133113425925932.8125-11.67938657407410.366886574074073
502827.470613425925932.8458333333333-5.375219907407410.529386574074074
5129.329.153946759259333.0625-3.908553240740740.146053240740741
5234.334.801863425925933.31666666666671.48519675925926-0.501863425925933
5336.636.765891203703733.52083333333333.24505787037037-0.165891203703708
5436.236.315752314814833.68752.62825231481481-0.115752314814813
5537.538.497974537037033.81666666666674.68130787037037-0.997974537037038
5641.641.797280092592633.92083333333337.87644675925926-0.197280092592585
5739.438.660196759259333.9754.685196759259260.739803240740741
5837.336.137974537037034.12.037974537037041.16202546296297
5932.732.511724537037034.2625-1.750775462962960.188275462962963
6030.730.474502314814834.4-3.925497685185180.225497685185182
6122.922.891446759259334.5708333333333-11.67938657407410.00855324074073138
6229.129.233113425925934.6083333333333-5.37521990740741-0.133113425925927
6329.530.670613425925934.5791666666667-3.90855324074074-1.17061342592592
6437.136.047696759259334.56251.485196759259261.05230324074075
6537.737.782557870370434.53753.24505787037037-0.0825578703703584
6638.437.207418981481534.57916666666672.628252314814811.19258101851852
6739.439.34797453703734.66666666666674.681307870370370.0520254629629662
6840.642.643113425925934.76666666666677.87644675925926-2.04311342592592
6939.739.597696759259334.91254.685196759259260.102303240740753
7036.637.112974537037035.0752.03797453703704-0.512974537037039
7132.833.395057870370435.1458333333333-1.75077546296296-0.595057870370375
7231.631.224502314814835.15-3.925497685185180.375497685185181
7324.123.524780092592635.2041666666667-11.67938657407410.575219907407408
7430.330.016446759259335.3916666666667-5.375219907407410.283553240740737
7531.831.691446759259335.6-3.908553240740740.108553240740747
7638.737.272696759259335.78751.485196759259261.42730324074075
7737.839.27422453703736.02916666666673.24505787037037-1.47422453703704
7838.438.861585648148236.23333333333332.62825231481481-0.461585648148152
7940.7NANA4.68130787037037NA
8043.8NANA7.87644675925926NA
8141.5NANA4.68519675925926NA
8239.3NANA2.03797453703704NA
8335.9NANA-1.75077546296296NA
8433.4NANA-3.92549768518518NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 24.3 & NA & NA & -11.6793865740741 & NA \tabularnewline
2 & 29.4 & NA & NA & -5.37521990740741 & NA \tabularnewline
3 & 31.8 & NA & NA & -3.90855324074074 & NA \tabularnewline
4 & 36.7 & NA & NA & 1.48519675925926 & NA \tabularnewline
5 & 37.1 & NA & NA & 3.24505787037037 & NA \tabularnewline
6 & 37.7 & NA & NA & 2.62825231481481 & NA \tabularnewline
7 & 39.4 & 39.197974537037 & 34.5166666666667 & 4.68130787037037 & 0.202025462962965 \tabularnewline
8 & 43.3 & 42.2889467592593 & 34.4125 & 7.87644675925926 & 1.01105324074074 \tabularnewline
9 & 39.6 & 39.0726967592593 & 34.3875 & 4.68519675925926 & 0.527303240740736 \tabularnewline
10 & 34.3 & 36.3171412037037 & 34.2791666666667 & 2.03797453703704 & -2.01714120370371 \tabularnewline
11 & 32 & 32.4867245370370 & 34.2375 & -1.75077546296296 & -0.486724537037041 \tabularnewline
12 & 29.6 & 30.3536689814815 & 34.2791666666667 & -3.92549768518518 & -0.753668981481482 \tabularnewline
13 & 22.3 & 22.5539467592593 & 34.2333333333333 & -11.6793865740741 & -0.253946759259257 \tabularnewline
14 & 28.9 & 28.8372800925926 & 34.2125 & -5.37521990740741 & 0.0627199074074056 \tabularnewline
15 & 31.7 & 30.2747800925926 & 34.1833333333333 & -3.90855324074074 & 1.42521990740741 \tabularnewline
16 & 34.2 & 35.7185300925926 & 34.2333333333333 & 1.48519675925926 & -1.51853009259259 \tabularnewline
17 & 38.6 & 37.6033912037037 & 34.3583333333333 & 3.24505787037037 & 0.996608796296293 \tabularnewline
18 & 37.2 & 37.0115856481481 & 34.3833333333333 & 2.62825231481481 & 0.188414351851854 \tabularnewline
19 & 38.8 & 39.0621412037037 & 34.3808333333333 & 4.68130787037037 & -0.262141203703706 \tabularnewline
20 & 43.4 & 42.2522800925926 & 34.3758333333333 & 7.87644675925926 & 1.14771990740741 \tabularnewline
21 & 38.8 & 38.9768634259259 & 34.2916666666667 & 4.68519675925926 & -0.17686342592593 \tabularnewline
22 & 36.3 & 36.2725578703704 & 34.2345833333333 & 2.03797453703704 & 0.0274421296296268 \tabularnewline
23 & 33 & 32.4175578703704 & 34.1683333333333 & -1.75077546296296 & 0.582442129629626 \tabularnewline
24 & 29.2 & 30.1495023148148 & 34.075 & -3.92549768518518 & -0.949502314814815 \tabularnewline
25 & 22.64 & 22.3806134259259 & 34.06 & -11.6793865740741 & 0.259386574074078 \tabularnewline
26 & 28.44 & 28.6639467592592 & 34.0391666666667 & -5.37521990740741 & -0.223946759259249 \tabularnewline
27 & 30.14 & 30.1176967592593 & 34.02625 & -3.90855324074074 & 0.0223032407407331 \tabularnewline
28 & 34.39 & 35.5731134259259 & 34.0879166666667 & 1.48519675925926 & -1.18311342592593 \tabularnewline
29 & 36.82 & 37.3896412037037 & 34.1445833333333 & 3.24505787037037 & -0.56964120370371 \tabularnewline
30 & 36.74 & 36.8540856481482 & 34.2258333333333 & 2.62825231481481 & -0.114085648148155 \tabularnewline
31 & 38.9 & 38.9213078703704 & 34.24 & 4.68130787037037 & -0.0213078703703715 \tabularnewline
32 & 42.8 & 42.0297800925926 & 34.1533333333333 & 7.87644675925926 & 0.770219907407402 \tabularnewline
33 & 39.09 & 38.7643634259259 & 34.0791666666667 & 4.68519675925926 & 0.325636574074075 \tabularnewline
34 & 37.49 & 36.1117245370370 & 34.07375 & 2.03797453703704 & 1.37827546296297 \tabularnewline
35 & 33.17 & 32.3933912037037 & 34.1441666666667 & -1.75077546296296 & 0.776608796296301 \tabularnewline
36 & 30.98 & 30.1620023148148 & 34.0875 & -3.92549768518518 & 0.817997685185183 \tabularnewline
37 & 21.2 & 22.3022800925926 & 33.9816666666667 & -11.6793865740741 & -1.10228009259259 \tabularnewline
38 & 27.8 & 28.4647800925926 & 33.84 & -5.37521990740741 & -0.664780092592594 \tabularnewline
39 & 29 & 29.6776967592593 & 33.58625 & -3.90855324074074 & -0.677696759259263 \tabularnewline
40 & 35.4 & 34.8222800925926 & 33.3370833333333 & 1.48519675925926 & 0.577719907407406 \tabularnewline
41 & 37.5 & 36.3504745370370 & 33.1054166666667 & 3.24505787037037 & 1.14952546296296 \tabularnewline
42 & 34.7 & 35.5357523148148 & 32.9075 & 2.62825231481481 & -0.835752314814812 \tabularnewline
43 & 38.4 & 37.5188078703704 & 32.8375 & 4.68130787037037 & 0.881192129629632 \tabularnewline
44 & 39.9 & 40.7347800925926 & 32.8583333333333 & 7.87644675925926 & -0.834780092592595 \tabularnewline
45 & 35.9 & 37.5643634259259 & 32.8791666666667 & 4.68519675925926 & -1.66436342592592 \tabularnewline
46 & 34.7 & 34.8838078703704 & 32.8458333333333 & 2.03797453703704 & -0.183807870370366 \tabularnewline
47 & 30.4 & 31.0117245370370 & 32.7625 & -1.75077546296296 & -0.611724537037034 \tabularnewline
48 & 29 & 28.8620023148148 & 32.7875 & -3.92549768518518 & 0.137997685185191 \tabularnewline
49 & 21.5 & 21.1331134259259 & 32.8125 & -11.6793865740741 & 0.366886574074073 \tabularnewline
50 & 28 & 27.4706134259259 & 32.8458333333333 & -5.37521990740741 & 0.529386574074074 \tabularnewline
51 & 29.3 & 29.1539467592593 & 33.0625 & -3.90855324074074 & 0.146053240740741 \tabularnewline
52 & 34.3 & 34.8018634259259 & 33.3166666666667 & 1.48519675925926 & -0.501863425925933 \tabularnewline
53 & 36.6 & 36.7658912037037 & 33.5208333333333 & 3.24505787037037 & -0.165891203703708 \tabularnewline
54 & 36.2 & 36.3157523148148 & 33.6875 & 2.62825231481481 & -0.115752314814813 \tabularnewline
55 & 37.5 & 38.4979745370370 & 33.8166666666667 & 4.68130787037037 & -0.997974537037038 \tabularnewline
56 & 41.6 & 41.7972800925926 & 33.9208333333333 & 7.87644675925926 & -0.197280092592585 \tabularnewline
57 & 39.4 & 38.6601967592593 & 33.975 & 4.68519675925926 & 0.739803240740741 \tabularnewline
58 & 37.3 & 36.1379745370370 & 34.1 & 2.03797453703704 & 1.16202546296297 \tabularnewline
59 & 32.7 & 32.5117245370370 & 34.2625 & -1.75077546296296 & 0.188275462962963 \tabularnewline
60 & 30.7 & 30.4745023148148 & 34.4 & -3.92549768518518 & 0.225497685185182 \tabularnewline
61 & 22.9 & 22.8914467592593 & 34.5708333333333 & -11.6793865740741 & 0.00855324074073138 \tabularnewline
62 & 29.1 & 29.2331134259259 & 34.6083333333333 & -5.37521990740741 & -0.133113425925927 \tabularnewline
63 & 29.5 & 30.6706134259259 & 34.5791666666667 & -3.90855324074074 & -1.17061342592592 \tabularnewline
64 & 37.1 & 36.0476967592593 & 34.5625 & 1.48519675925926 & 1.05230324074075 \tabularnewline
65 & 37.7 & 37.7825578703704 & 34.5375 & 3.24505787037037 & -0.0825578703703584 \tabularnewline
66 & 38.4 & 37.2074189814815 & 34.5791666666667 & 2.62825231481481 & 1.19258101851852 \tabularnewline
67 & 39.4 & 39.347974537037 & 34.6666666666667 & 4.68130787037037 & 0.0520254629629662 \tabularnewline
68 & 40.6 & 42.6431134259259 & 34.7666666666667 & 7.87644675925926 & -2.04311342592592 \tabularnewline
69 & 39.7 & 39.5976967592593 & 34.9125 & 4.68519675925926 & 0.102303240740753 \tabularnewline
70 & 36.6 & 37.1129745370370 & 35.075 & 2.03797453703704 & -0.512974537037039 \tabularnewline
71 & 32.8 & 33.3950578703704 & 35.1458333333333 & -1.75077546296296 & -0.595057870370375 \tabularnewline
72 & 31.6 & 31.2245023148148 & 35.15 & -3.92549768518518 & 0.375497685185181 \tabularnewline
73 & 24.1 & 23.5247800925926 & 35.2041666666667 & -11.6793865740741 & 0.575219907407408 \tabularnewline
74 & 30.3 & 30.0164467592593 & 35.3916666666667 & -5.37521990740741 & 0.283553240740737 \tabularnewline
75 & 31.8 & 31.6914467592593 & 35.6 & -3.90855324074074 & 0.108553240740747 \tabularnewline
76 & 38.7 & 37.2726967592593 & 35.7875 & 1.48519675925926 & 1.42730324074075 \tabularnewline
77 & 37.8 & 39.274224537037 & 36.0291666666667 & 3.24505787037037 & -1.47422453703704 \tabularnewline
78 & 38.4 & 38.8615856481482 & 36.2333333333333 & 2.62825231481481 & -0.461585648148152 \tabularnewline
79 & 40.7 & NA & NA & 4.68130787037037 & NA \tabularnewline
80 & 43.8 & NA & NA & 7.87644675925926 & NA \tabularnewline
81 & 41.5 & NA & NA & 4.68519675925926 & NA \tabularnewline
82 & 39.3 & NA & NA & 2.03797453703704 & NA \tabularnewline
83 & 35.9 & NA & NA & -1.75077546296296 & NA \tabularnewline
84 & 33.4 & NA & NA & -3.92549768518518 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72589&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]24.3[/C][C]NA[/C][C]NA[/C][C]-11.6793865740741[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]29.4[/C][C]NA[/C][C]NA[/C][C]-5.37521990740741[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]31.8[/C][C]NA[/C][C]NA[/C][C]-3.90855324074074[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]36.7[/C][C]NA[/C][C]NA[/C][C]1.48519675925926[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]37.1[/C][C]NA[/C][C]NA[/C][C]3.24505787037037[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]37.7[/C][C]NA[/C][C]NA[/C][C]2.62825231481481[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]39.4[/C][C]39.197974537037[/C][C]34.5166666666667[/C][C]4.68130787037037[/C][C]0.202025462962965[/C][/ROW]
[ROW][C]8[/C][C]43.3[/C][C]42.2889467592593[/C][C]34.4125[/C][C]7.87644675925926[/C][C]1.01105324074074[/C][/ROW]
[ROW][C]9[/C][C]39.6[/C][C]39.0726967592593[/C][C]34.3875[/C][C]4.68519675925926[/C][C]0.527303240740736[/C][/ROW]
[ROW][C]10[/C][C]34.3[/C][C]36.3171412037037[/C][C]34.2791666666667[/C][C]2.03797453703704[/C][C]-2.01714120370371[/C][/ROW]
[ROW][C]11[/C][C]32[/C][C]32.4867245370370[/C][C]34.2375[/C][C]-1.75077546296296[/C][C]-0.486724537037041[/C][/ROW]
[ROW][C]12[/C][C]29.6[/C][C]30.3536689814815[/C][C]34.2791666666667[/C][C]-3.92549768518518[/C][C]-0.753668981481482[/C][/ROW]
[ROW][C]13[/C][C]22.3[/C][C]22.5539467592593[/C][C]34.2333333333333[/C][C]-11.6793865740741[/C][C]-0.253946759259257[/C][/ROW]
[ROW][C]14[/C][C]28.9[/C][C]28.8372800925926[/C][C]34.2125[/C][C]-5.37521990740741[/C][C]0.0627199074074056[/C][/ROW]
[ROW][C]15[/C][C]31.7[/C][C]30.2747800925926[/C][C]34.1833333333333[/C][C]-3.90855324074074[/C][C]1.42521990740741[/C][/ROW]
[ROW][C]16[/C][C]34.2[/C][C]35.7185300925926[/C][C]34.2333333333333[/C][C]1.48519675925926[/C][C]-1.51853009259259[/C][/ROW]
[ROW][C]17[/C][C]38.6[/C][C]37.6033912037037[/C][C]34.3583333333333[/C][C]3.24505787037037[/C][C]0.996608796296293[/C][/ROW]
[ROW][C]18[/C][C]37.2[/C][C]37.0115856481481[/C][C]34.3833333333333[/C][C]2.62825231481481[/C][C]0.188414351851854[/C][/ROW]
[ROW][C]19[/C][C]38.8[/C][C]39.0621412037037[/C][C]34.3808333333333[/C][C]4.68130787037037[/C][C]-0.262141203703706[/C][/ROW]
[ROW][C]20[/C][C]43.4[/C][C]42.2522800925926[/C][C]34.3758333333333[/C][C]7.87644675925926[/C][C]1.14771990740741[/C][/ROW]
[ROW][C]21[/C][C]38.8[/C][C]38.9768634259259[/C][C]34.2916666666667[/C][C]4.68519675925926[/C][C]-0.17686342592593[/C][/ROW]
[ROW][C]22[/C][C]36.3[/C][C]36.2725578703704[/C][C]34.2345833333333[/C][C]2.03797453703704[/C][C]0.0274421296296268[/C][/ROW]
[ROW][C]23[/C][C]33[/C][C]32.4175578703704[/C][C]34.1683333333333[/C][C]-1.75077546296296[/C][C]0.582442129629626[/C][/ROW]
[ROW][C]24[/C][C]29.2[/C][C]30.1495023148148[/C][C]34.075[/C][C]-3.92549768518518[/C][C]-0.949502314814815[/C][/ROW]
[ROW][C]25[/C][C]22.64[/C][C]22.3806134259259[/C][C]34.06[/C][C]-11.6793865740741[/C][C]0.259386574074078[/C][/ROW]
[ROW][C]26[/C][C]28.44[/C][C]28.6639467592592[/C][C]34.0391666666667[/C][C]-5.37521990740741[/C][C]-0.223946759259249[/C][/ROW]
[ROW][C]27[/C][C]30.14[/C][C]30.1176967592593[/C][C]34.02625[/C][C]-3.90855324074074[/C][C]0.0223032407407331[/C][/ROW]
[ROW][C]28[/C][C]34.39[/C][C]35.5731134259259[/C][C]34.0879166666667[/C][C]1.48519675925926[/C][C]-1.18311342592593[/C][/ROW]
[ROW][C]29[/C][C]36.82[/C][C]37.3896412037037[/C][C]34.1445833333333[/C][C]3.24505787037037[/C][C]-0.56964120370371[/C][/ROW]
[ROW][C]30[/C][C]36.74[/C][C]36.8540856481482[/C][C]34.2258333333333[/C][C]2.62825231481481[/C][C]-0.114085648148155[/C][/ROW]
[ROW][C]31[/C][C]38.9[/C][C]38.9213078703704[/C][C]34.24[/C][C]4.68130787037037[/C][C]-0.0213078703703715[/C][/ROW]
[ROW][C]32[/C][C]42.8[/C][C]42.0297800925926[/C][C]34.1533333333333[/C][C]7.87644675925926[/C][C]0.770219907407402[/C][/ROW]
[ROW][C]33[/C][C]39.09[/C][C]38.7643634259259[/C][C]34.0791666666667[/C][C]4.68519675925926[/C][C]0.325636574074075[/C][/ROW]
[ROW][C]34[/C][C]37.49[/C][C]36.1117245370370[/C][C]34.07375[/C][C]2.03797453703704[/C][C]1.37827546296297[/C][/ROW]
[ROW][C]35[/C][C]33.17[/C][C]32.3933912037037[/C][C]34.1441666666667[/C][C]-1.75077546296296[/C][C]0.776608796296301[/C][/ROW]
[ROW][C]36[/C][C]30.98[/C][C]30.1620023148148[/C][C]34.0875[/C][C]-3.92549768518518[/C][C]0.817997685185183[/C][/ROW]
[ROW][C]37[/C][C]21.2[/C][C]22.3022800925926[/C][C]33.9816666666667[/C][C]-11.6793865740741[/C][C]-1.10228009259259[/C][/ROW]
[ROW][C]38[/C][C]27.8[/C][C]28.4647800925926[/C][C]33.84[/C][C]-5.37521990740741[/C][C]-0.664780092592594[/C][/ROW]
[ROW][C]39[/C][C]29[/C][C]29.6776967592593[/C][C]33.58625[/C][C]-3.90855324074074[/C][C]-0.677696759259263[/C][/ROW]
[ROW][C]40[/C][C]35.4[/C][C]34.8222800925926[/C][C]33.3370833333333[/C][C]1.48519675925926[/C][C]0.577719907407406[/C][/ROW]
[ROW][C]41[/C][C]37.5[/C][C]36.3504745370370[/C][C]33.1054166666667[/C][C]3.24505787037037[/C][C]1.14952546296296[/C][/ROW]
[ROW][C]42[/C][C]34.7[/C][C]35.5357523148148[/C][C]32.9075[/C][C]2.62825231481481[/C][C]-0.835752314814812[/C][/ROW]
[ROW][C]43[/C][C]38.4[/C][C]37.5188078703704[/C][C]32.8375[/C][C]4.68130787037037[/C][C]0.881192129629632[/C][/ROW]
[ROW][C]44[/C][C]39.9[/C][C]40.7347800925926[/C][C]32.8583333333333[/C][C]7.87644675925926[/C][C]-0.834780092592595[/C][/ROW]
[ROW][C]45[/C][C]35.9[/C][C]37.5643634259259[/C][C]32.8791666666667[/C][C]4.68519675925926[/C][C]-1.66436342592592[/C][/ROW]
[ROW][C]46[/C][C]34.7[/C][C]34.8838078703704[/C][C]32.8458333333333[/C][C]2.03797453703704[/C][C]-0.183807870370366[/C][/ROW]
[ROW][C]47[/C][C]30.4[/C][C]31.0117245370370[/C][C]32.7625[/C][C]-1.75077546296296[/C][C]-0.611724537037034[/C][/ROW]
[ROW][C]48[/C][C]29[/C][C]28.8620023148148[/C][C]32.7875[/C][C]-3.92549768518518[/C][C]0.137997685185191[/C][/ROW]
[ROW][C]49[/C][C]21.5[/C][C]21.1331134259259[/C][C]32.8125[/C][C]-11.6793865740741[/C][C]0.366886574074073[/C][/ROW]
[ROW][C]50[/C][C]28[/C][C]27.4706134259259[/C][C]32.8458333333333[/C][C]-5.37521990740741[/C][C]0.529386574074074[/C][/ROW]
[ROW][C]51[/C][C]29.3[/C][C]29.1539467592593[/C][C]33.0625[/C][C]-3.90855324074074[/C][C]0.146053240740741[/C][/ROW]
[ROW][C]52[/C][C]34.3[/C][C]34.8018634259259[/C][C]33.3166666666667[/C][C]1.48519675925926[/C][C]-0.501863425925933[/C][/ROW]
[ROW][C]53[/C][C]36.6[/C][C]36.7658912037037[/C][C]33.5208333333333[/C][C]3.24505787037037[/C][C]-0.165891203703708[/C][/ROW]
[ROW][C]54[/C][C]36.2[/C][C]36.3157523148148[/C][C]33.6875[/C][C]2.62825231481481[/C][C]-0.115752314814813[/C][/ROW]
[ROW][C]55[/C][C]37.5[/C][C]38.4979745370370[/C][C]33.8166666666667[/C][C]4.68130787037037[/C][C]-0.997974537037038[/C][/ROW]
[ROW][C]56[/C][C]41.6[/C][C]41.7972800925926[/C][C]33.9208333333333[/C][C]7.87644675925926[/C][C]-0.197280092592585[/C][/ROW]
[ROW][C]57[/C][C]39.4[/C][C]38.6601967592593[/C][C]33.975[/C][C]4.68519675925926[/C][C]0.739803240740741[/C][/ROW]
[ROW][C]58[/C][C]37.3[/C][C]36.1379745370370[/C][C]34.1[/C][C]2.03797453703704[/C][C]1.16202546296297[/C][/ROW]
[ROW][C]59[/C][C]32.7[/C][C]32.5117245370370[/C][C]34.2625[/C][C]-1.75077546296296[/C][C]0.188275462962963[/C][/ROW]
[ROW][C]60[/C][C]30.7[/C][C]30.4745023148148[/C][C]34.4[/C][C]-3.92549768518518[/C][C]0.225497685185182[/C][/ROW]
[ROW][C]61[/C][C]22.9[/C][C]22.8914467592593[/C][C]34.5708333333333[/C][C]-11.6793865740741[/C][C]0.00855324074073138[/C][/ROW]
[ROW][C]62[/C][C]29.1[/C][C]29.2331134259259[/C][C]34.6083333333333[/C][C]-5.37521990740741[/C][C]-0.133113425925927[/C][/ROW]
[ROW][C]63[/C][C]29.5[/C][C]30.6706134259259[/C][C]34.5791666666667[/C][C]-3.90855324074074[/C][C]-1.17061342592592[/C][/ROW]
[ROW][C]64[/C][C]37.1[/C][C]36.0476967592593[/C][C]34.5625[/C][C]1.48519675925926[/C][C]1.05230324074075[/C][/ROW]
[ROW][C]65[/C][C]37.7[/C][C]37.7825578703704[/C][C]34.5375[/C][C]3.24505787037037[/C][C]-0.0825578703703584[/C][/ROW]
[ROW][C]66[/C][C]38.4[/C][C]37.2074189814815[/C][C]34.5791666666667[/C][C]2.62825231481481[/C][C]1.19258101851852[/C][/ROW]
[ROW][C]67[/C][C]39.4[/C][C]39.347974537037[/C][C]34.6666666666667[/C][C]4.68130787037037[/C][C]0.0520254629629662[/C][/ROW]
[ROW][C]68[/C][C]40.6[/C][C]42.6431134259259[/C][C]34.7666666666667[/C][C]7.87644675925926[/C][C]-2.04311342592592[/C][/ROW]
[ROW][C]69[/C][C]39.7[/C][C]39.5976967592593[/C][C]34.9125[/C][C]4.68519675925926[/C][C]0.102303240740753[/C][/ROW]
[ROW][C]70[/C][C]36.6[/C][C]37.1129745370370[/C][C]35.075[/C][C]2.03797453703704[/C][C]-0.512974537037039[/C][/ROW]
[ROW][C]71[/C][C]32.8[/C][C]33.3950578703704[/C][C]35.1458333333333[/C][C]-1.75077546296296[/C][C]-0.595057870370375[/C][/ROW]
[ROW][C]72[/C][C]31.6[/C][C]31.2245023148148[/C][C]35.15[/C][C]-3.92549768518518[/C][C]0.375497685185181[/C][/ROW]
[ROW][C]73[/C][C]24.1[/C][C]23.5247800925926[/C][C]35.2041666666667[/C][C]-11.6793865740741[/C][C]0.575219907407408[/C][/ROW]
[ROW][C]74[/C][C]30.3[/C][C]30.0164467592593[/C][C]35.3916666666667[/C][C]-5.37521990740741[/C][C]0.283553240740737[/C][/ROW]
[ROW][C]75[/C][C]31.8[/C][C]31.6914467592593[/C][C]35.6[/C][C]-3.90855324074074[/C][C]0.108553240740747[/C][/ROW]
[ROW][C]76[/C][C]38.7[/C][C]37.2726967592593[/C][C]35.7875[/C][C]1.48519675925926[/C][C]1.42730324074075[/C][/ROW]
[ROW][C]77[/C][C]37.8[/C][C]39.274224537037[/C][C]36.0291666666667[/C][C]3.24505787037037[/C][C]-1.47422453703704[/C][/ROW]
[ROW][C]78[/C][C]38.4[/C][C]38.8615856481482[/C][C]36.2333333333333[/C][C]2.62825231481481[/C][C]-0.461585648148152[/C][/ROW]
[ROW][C]79[/C][C]40.7[/C][C]NA[/C][C]NA[/C][C]4.68130787037037[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]43.8[/C][C]NA[/C][C]NA[/C][C]7.87644675925926[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]41.5[/C][C]NA[/C][C]NA[/C][C]4.68519675925926[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]39.3[/C][C]NA[/C][C]NA[/C][C]2.03797453703704[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]35.9[/C][C]NA[/C][C]NA[/C][C]-1.75077546296296[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]33.4[/C][C]NA[/C][C]NA[/C][C]-3.92549768518518[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72589&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72589&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
124.3NANA-11.6793865740741NA
229.4NANA-5.37521990740741NA
331.8NANA-3.90855324074074NA
436.7NANA1.48519675925926NA
537.1NANA3.24505787037037NA
637.7NANA2.62825231481481NA
739.439.19797453703734.51666666666674.681307870370370.202025462962965
843.342.288946759259334.41257.876446759259261.01105324074074
939.639.072696759259334.38754.685196759259260.527303240740736
1034.336.317141203703734.27916666666672.03797453703704-2.01714120370371
113232.486724537037034.2375-1.75077546296296-0.486724537037041
1229.630.353668981481534.2791666666667-3.92549768518518-0.753668981481482
1322.322.553946759259334.2333333333333-11.6793865740741-0.253946759259257
1428.928.837280092592634.2125-5.375219907407410.0627199074074056
1531.730.274780092592634.1833333333333-3.908553240740741.42521990740741
1634.235.718530092592634.23333333333331.48519675925926-1.51853009259259
1738.637.603391203703734.35833333333333.245057870370370.996608796296293
1837.237.011585648148134.38333333333332.628252314814810.188414351851854
1938.839.062141203703734.38083333333334.68130787037037-0.262141203703706
2043.442.252280092592634.37583333333337.876446759259261.14771990740741
2138.838.976863425925934.29166666666674.68519675925926-0.17686342592593
2236.336.272557870370434.23458333333332.037974537037040.0274421296296268
233332.417557870370434.1683333333333-1.750775462962960.582442129629626
2429.230.149502314814834.075-3.92549768518518-0.949502314814815
2522.6422.380613425925934.06-11.67938657407410.259386574074078
2628.4428.663946759259234.0391666666667-5.37521990740741-0.223946759259249
2730.1430.117696759259334.02625-3.908553240740740.0223032407407331
2834.3935.573113425925934.08791666666671.48519675925926-1.18311342592593
2936.8237.389641203703734.14458333333333.24505787037037-0.56964120370371
3036.7436.854085648148234.22583333333332.62825231481481-0.114085648148155
3138.938.921307870370434.244.68130787037037-0.0213078703703715
3242.842.029780092592634.15333333333337.876446759259260.770219907407402
3339.0938.764363425925934.07916666666674.685196759259260.325636574074075
3437.4936.111724537037034.073752.037974537037041.37827546296297
3533.1732.393391203703734.1441666666667-1.750775462962960.776608796296301
3630.9830.162002314814834.0875-3.925497685185180.817997685185183
3721.222.302280092592633.9816666666667-11.6793865740741-1.10228009259259
3827.828.464780092592633.84-5.37521990740741-0.664780092592594
392929.677696759259333.58625-3.90855324074074-0.677696759259263
4035.434.822280092592633.33708333333331.485196759259260.577719907407406
4137.536.350474537037033.10541666666673.245057870370371.14952546296296
4234.735.535752314814832.90752.62825231481481-0.835752314814812
4338.437.518807870370432.83754.681307870370370.881192129629632
4439.940.734780092592632.85833333333337.87644675925926-0.834780092592595
4535.937.564363425925932.87916666666674.68519675925926-1.66436342592592
4634.734.883807870370432.84583333333332.03797453703704-0.183807870370366
4730.431.011724537037032.7625-1.75077546296296-0.611724537037034
482928.862002314814832.7875-3.925497685185180.137997685185191
4921.521.133113425925932.8125-11.67938657407410.366886574074073
502827.470613425925932.8458333333333-5.375219907407410.529386574074074
5129.329.153946759259333.0625-3.908553240740740.146053240740741
5234.334.801863425925933.31666666666671.48519675925926-0.501863425925933
5336.636.765891203703733.52083333333333.24505787037037-0.165891203703708
5436.236.315752314814833.68752.62825231481481-0.115752314814813
5537.538.497974537037033.81666666666674.68130787037037-0.997974537037038
5641.641.797280092592633.92083333333337.87644675925926-0.197280092592585
5739.438.660196759259333.9754.685196759259260.739803240740741
5837.336.137974537037034.12.037974537037041.16202546296297
5932.732.511724537037034.2625-1.750775462962960.188275462962963
6030.730.474502314814834.4-3.925497685185180.225497685185182
6122.922.891446759259334.5708333333333-11.67938657407410.00855324074073138
6229.129.233113425925934.6083333333333-5.37521990740741-0.133113425925927
6329.530.670613425925934.5791666666667-3.90855324074074-1.17061342592592
6437.136.047696759259334.56251.485196759259261.05230324074075
6537.737.782557870370434.53753.24505787037037-0.0825578703703584
6638.437.207418981481534.57916666666672.628252314814811.19258101851852
6739.439.34797453703734.66666666666674.681307870370370.0520254629629662
6840.642.643113425925934.76666666666677.87644675925926-2.04311342592592
6939.739.597696759259334.91254.685196759259260.102303240740753
7036.637.112974537037035.0752.03797453703704-0.512974537037039
7132.833.395057870370435.1458333333333-1.75077546296296-0.595057870370375
7231.631.224502314814835.15-3.925497685185180.375497685185181
7324.123.524780092592635.2041666666667-11.67938657407410.575219907407408
7430.330.016446759259335.3916666666667-5.375219907407410.283553240740737
7531.831.691446759259335.6-3.908553240740740.108553240740747
7638.737.272696759259335.78751.485196759259261.42730324074075
7737.839.27422453703736.02916666666673.24505787037037-1.47422453703704
7838.438.861585648148236.23333333333332.62825231481481-0.461585648148152
7940.7NANA4.68130787037037NA
8043.8NANA7.87644675925926NA
8141.5NANA4.68519675925926NA
8239.3NANA2.03797453703704NA
8335.9NANA-1.75077546296296NA
8433.4NANA-3.92549768518518NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')