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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 26 Dec 2010 12:41:34 +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/2010/Dec/26/t1293367169shs69rc5i1wukqg.htm/, Retrieved Tue, 07 May 2024 00:34:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115571, Retrieved Tue, 07 May 2024 00:34:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact121

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
-  M D  [Classical Decomposition] [WS5 - monthly bir...] [2010-12-08 13:47:08] [8ed0bd3560b9ca2814a2ed0a29182575]
-    D      [Classical Decomposition] [CD Yuan] [2010-12-26 12:41:34] [c9d5faca36bd2ada281161976df30bf1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,4271
7,7662
7,6289
7,5281
7,3831
7,2355
7,0617
7,1237
7,4533
7,5411
7,4978
7,3525
7,3862
7,311
7,2013
7,249
7,3321
7,59
7,9082
8,2123
8,0929
8,118
8,1206
8,2883
8,4281
8,7917
8,9168
8,9446
8,9786
9,5862
9,6533
9,4125
9,2195
9,2882
9,6774
9,6857
10,1688
10,4399
10,4675
10,149
9,9163
9,9268
10,0529
10,1622
10,083
10,1134
10,3423
10,7536
11,0967
10,8588
10,7719
10,9262
10,708
10,5062
10,0683
9,8954
9,9589
9,9177
9,7189
9,5273
9,5746
9,763
9,6117
9,6581
9,8361
10,2353
10,1285
10,1347
10,2141
10,0971
9,9651
10,1286
10,3356
10,1238
10,1326
10,2467
10,44
10,3689
10,2415
10,3899
10,3162
10,4533
10,6741
10,8957
10,7404
10,6568
10,5682
10,9833
11,0237
10,8462
10,7287
10,7809
10,2609
9,8252
9,1071
8,695
9,2205
9,0496
8,7406
8,921
9,011
9,3157
9,5786
9,6246
9,7485
9,9431
10,1152
10,1827
9,9777
9,7436
9,3462
9,2623
9,1505
8,5794
8,3245
8,6538
8,752
8,8104
9,2665
9,0895

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115571&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115571&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115571&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
17.4271NANA0.0968546296296301NA
27.7662NANA0.0627689814814819NA
37.6289NANA-0.0593717592592592NA
47.5281NANA-0.00643842592592586NA
57.3831NANA-0.0142699074074085NA
67.2355NANA0.0315444444444437NA
77.06177.441031018518527.414879166666670.0261518518518516-0.379331018518517
87.12377.434341666666677.394208333333330.0401333333333336-0.310641666666665
97.45337.337242129629637.357425-0.02018287037037040.116057870370372
107.54117.286239351851857.32797916666667-0.04173981481481430.254860648148149
117.49787.247540740740747.314225-0.06668425925925940.25025925925926
127.35257.278104629629637.32687083333333-0.04876620370370330.0743953703703708
137.38627.473767129629637.37691250.0968546296296301-0.0875671296296296
147.3117.520310648148157.457541666666670.0627689814814819-0.209310648148148
157.20137.470178240740747.52955-0.0593717592592592-0.26887824074074
167.2497.573799074074077.5802375-0.00643842592592586-0.324799074074074
177.33217.615955092592597.630225-0.0142699074074085-0.283855092592590
187.597.726711111111117.695166666666670.0315444444444437-0.136711111111111
197.90827.803722685185197.777570833333330.02615185185185160.104477314814814
208.21237.92281257.882679166666660.04013333333333360.289487500000003
218.09297.99567129629638.01585416666667-0.02018287037037040.0972287037037045
228.1188.116243518518528.15798333333333-0.04173981481481430.00175648148148255
238.12068.230553240740748.2972375-0.0666842592592594-0.109953240740740
248.28838.400250462962968.44901666666667-0.0487662037037033-0.111950462962962
258.42818.70175879629638.604904166666670.0968546296296301-0.273658796296296
268.79178.790393981481488.7276250.06276898148148190.00130601851851964
278.91688.765203240740748.824575-0.05937175925925920.151596759259260
288.94468.913836574074078.920275-0.006438425925925860.0307634259259277
298.97869.01963009259269.0339-0.0142699074074085-0.0410300925925924
309.58629.188536111111119.156991666666670.03154444444444370.397663888888889
319.65339.313897685185189.287745833333330.02615185185185160.339402314814816
329.41259.469083333333339.428950.0401333333333336-0.0565833333333323
339.21959.542054629629639.5622375-0.0201828703703704-0.322554629629629
349.28829.635293518518529.67703333333333-0.0417398148148143-0.347093518518518
359.67749.699603240740749.7662875-0.0666842592592594-0.0222032407407387
369.68579.77078379629639.81955-0.0487662037037033-0.0850837962962956
3710.16889.94724629629639.850391666666670.09685462962963010.221553703703703
3810.43999.961048148148159.898279166666660.06276898148148190.478851851851854
3910.46759.906124074074079.96549583333333-0.05937175925925920.561375925925926
4010.14910.029419907407410.0358583333333-0.006438425925925860.119580092592592
419.916310.083675925925910.0979458333333-0.0142699074074085-0.167375925925926
429.926810.201690277777810.17014583333330.0315444444444437-0.274890277777779
4310.052910.279456018518510.25330416666670.0261518518518516-0.226556018518520
4410.162210.349554166666710.30942083333330.0401333333333336-0.187354166666669
4510.08310.319375462963010.3395583333333-0.0201828703703704-0.236375462962965
4610.113410.342885185185210.384625-0.0417398148148143-0.229485185185185
4710.342310.383311574074110.4499958333333-0.0666842592592594-0.0410115740740729
4810.753610.458358796296310.507125-0.04876620370370330.295241203703705
4911.096710.628762962963010.53190833333330.09685462962963010.467937037037037
5010.858810.584202314814810.52143333333330.06276898148148190.274597685185185
5110.771910.445774074074110.5051458333333-0.05937175925925920.326125925925924
5210.926210.485382407407410.4918208333333-0.006438425925925860.440817592592593
5310.70810.443421759259310.4576916666667-0.01426990740740850.264578240740741
5410.506210.412165277777810.38062083333330.03154444444444370.0940347222222204
5510.068310.292256018518510.26610416666670.0261518518518516-0.223956018518518
569.895410.197158333333310.1570250.0401333333333336-0.301758333333334
579.958910.042842129629610.063025-0.0201828703703704-0.0839421296296301
589.91779.920106018518529.96184583333333-0.0417398148148143-0.00240601851851707
599.71899.80599490740749.87267916666667-0.0666842592592594-0.0870949074074066
609.52739.77629629629639.8250625-0.0487662037037033-0.248996296296296
619.57469.913137962962979.816283333333330.0968546296296301-0.338537962962965
629.7639.891531481481489.82876250.0627689814814819-0.128531481481481
639.61179.78999490740749.84936666666666-0.0593717592592592-0.178294907407405
649.65819.861036574074079.867475-0.00643842592592586-0.202936574074073
659.83619.870938425925929.88520833333333-0.0142699074074085-0.0348384259259245
6610.23539.952065277777789.920520833333330.03154444444444370.283234722222225
6710.128510.00343518518529.977283333333330.02615185185185160.125064814814815
6810.134710.064158333333310.0240250.04013333333333360.0705416666666672
6910.214110.040579629629610.0607625-0.02018287037037040.173520370370369
7010.097110.065251851851910.1069916666667-0.04173981481481430.0318481481481463
719.965110.089994907407410.1566791666667-0.0666842592592594-0.124894907407407
7210.128610.138642129629610.1874083333333-0.0487662037037033-0.0100421296296300
7310.335610.294537962963010.19768333333330.09685462962963010.0410620370370367
7410.123810.275793981481510.2130250.0627689814814819-0.15199398148148
7510.132610.168540740740710.2279125-0.0593717592592592-0.0359407407407417
7610.246710.240569907407410.2470083333333-0.006438425925925860.00613009259259556
7710.4410.277121759259310.2913916666667-0.01426990740740850.162878240740742
7810.368910.384440277777810.35289583333330.0315444444444437-0.0155402777777773
7910.241510.427876851851910.4017250.0261518518518516-0.186376851851850
8010.389910.480933333333310.44080.0401333333333336-0.0910333333333302
8110.316210.460975462963010.4811583333333-0.0201828703703704-0.144775462962963
8210.453310.488260185185210.53-0.0417398148148143-0.0349601851851826
8310.674110.518328240740710.5850125-0.06668425925925940.155771759259258
8410.895710.580454629629610.6292208333333-0.04876620370370330.31524537037037
8510.740410.766262962963010.66940833333330.0968546296296301-0.0258629629629628
8610.656810.768768981481510.7060.0627689814814819-0.111968981481482
8710.568210.660615740740710.7199875-0.0593717592592592-0.0924157407407424
8810.983310.685074074074110.6915125-0.006438425925925860.298225925925927
8911.023710.585780092592610.60005-0.01426990740740850.437919907407407
9010.846210.474606944444410.44306250.03154444444444370.371593055555554
9110.728710.314189351851910.28803750.02615185185185160.414510648148147
9210.780910.19787510.15774166666670.04013333333333360.583024999999999
9310.26099.9944421296296310.014625-0.02018287037037040.266457870370369
949.82529.810806018518529.85254583333333-0.04173981481481430.0143939814814811
959.10719.61606990740749.68275416666667-0.0666842592592594-0.508969907407407
968.6959.486354629629639.53512083333333-0.0487662037037033-0.79135462962963
979.22059.52028379629639.423429166666670.0968546296296301-0.299783796296298
989.04969.390098148148159.327329166666670.0627689814814819-0.340498148148146
998.74069.198428240740749.2578-0.0593717592592592-0.45782824074074
1008.9219.234924074074079.2413625-0.00643842592592586-0.313924074074071
1019.0119.274009259259269.28827916666667-0.0142699074074085-0.263009259259261
1029.31579.423815277777789.392270833333330.0315444444444437-0.108115277777779
1039.57869.511960185185189.485808333333330.02615185185185160.0666398148148151
1049.62469.586408333333339.5462750.04013333333333360.0381916666666662
1059.74859.580242129629639.600425-0.02018287037037040.16825787037037
1069.94319.598139351851859.63987916666667-0.04173981481481430.344960648148147
10710.11529.593228240740749.6599125-0.06668425925925940.521971759259261
10810.18279.586279629629639.63504583333333-0.04876620370370330.596420370370371
1099.97779.648967129629639.55211250.09685462962963010.328732870370372
1109.74369.522177314814819.459408333333330.06276898148148190.221422685185187
1119.34629.318065740740749.3774375-0.05937175925925920.0281342592592591
1129.26239.28228240740749.28872083333333-0.00643842592592586-0.0199824074074080
1139.15059.19189259259269.2061625-0.0142699074074085-0.0413925925925938
1148.57949.156794444444449.125250.0315444444444437-0.577394444444444
1158.3245NANA0.0261518518518516NA
1168.6538NANA0.0401333333333336NA
1178.752NANA-0.0201828703703704NA
1188.8104NANA-0.0417398148148143NA
1199.2665NANA-0.0666842592592594NA
1209.0895NANA-0.0487662037037033NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 7.4271 & NA & NA & 0.0968546296296301 & NA \tabularnewline
2 & 7.7662 & NA & NA & 0.0627689814814819 & NA \tabularnewline
3 & 7.6289 & NA & NA & -0.0593717592592592 & NA \tabularnewline
4 & 7.5281 & NA & NA & -0.00643842592592586 & NA \tabularnewline
5 & 7.3831 & NA & NA & -0.0142699074074085 & NA \tabularnewline
6 & 7.2355 & NA & NA & 0.0315444444444437 & NA \tabularnewline
7 & 7.0617 & 7.44103101851852 & 7.41487916666667 & 0.0261518518518516 & -0.379331018518517 \tabularnewline
8 & 7.1237 & 7.43434166666667 & 7.39420833333333 & 0.0401333333333336 & -0.310641666666665 \tabularnewline
9 & 7.4533 & 7.33724212962963 & 7.357425 & -0.0201828703703704 & 0.116057870370372 \tabularnewline
10 & 7.5411 & 7.28623935185185 & 7.32797916666667 & -0.0417398148148143 & 0.254860648148149 \tabularnewline
11 & 7.4978 & 7.24754074074074 & 7.314225 & -0.0666842592592594 & 0.25025925925926 \tabularnewline
12 & 7.3525 & 7.27810462962963 & 7.32687083333333 & -0.0487662037037033 & 0.0743953703703708 \tabularnewline
13 & 7.3862 & 7.47376712962963 & 7.3769125 & 0.0968546296296301 & -0.0875671296296296 \tabularnewline
14 & 7.311 & 7.52031064814815 & 7.45754166666667 & 0.0627689814814819 & -0.209310648148148 \tabularnewline
15 & 7.2013 & 7.47017824074074 & 7.52955 & -0.0593717592592592 & -0.26887824074074 \tabularnewline
16 & 7.249 & 7.57379907407407 & 7.5802375 & -0.00643842592592586 & -0.324799074074074 \tabularnewline
17 & 7.3321 & 7.61595509259259 & 7.630225 & -0.0142699074074085 & -0.283855092592590 \tabularnewline
18 & 7.59 & 7.72671111111111 & 7.69516666666667 & 0.0315444444444437 & -0.136711111111111 \tabularnewline
19 & 7.9082 & 7.80372268518519 & 7.77757083333333 & 0.0261518518518516 & 0.104477314814814 \tabularnewline
20 & 8.2123 & 7.9228125 & 7.88267916666666 & 0.0401333333333336 & 0.289487500000003 \tabularnewline
21 & 8.0929 & 7.9956712962963 & 8.01585416666667 & -0.0201828703703704 & 0.0972287037037045 \tabularnewline
22 & 8.118 & 8.11624351851852 & 8.15798333333333 & -0.0417398148148143 & 0.00175648148148255 \tabularnewline
23 & 8.1206 & 8.23055324074074 & 8.2972375 & -0.0666842592592594 & -0.109953240740740 \tabularnewline
24 & 8.2883 & 8.40025046296296 & 8.44901666666667 & -0.0487662037037033 & -0.111950462962962 \tabularnewline
25 & 8.4281 & 8.7017587962963 & 8.60490416666667 & 0.0968546296296301 & -0.273658796296296 \tabularnewline
26 & 8.7917 & 8.79039398148148 & 8.727625 & 0.0627689814814819 & 0.00130601851851964 \tabularnewline
27 & 8.9168 & 8.76520324074074 & 8.824575 & -0.0593717592592592 & 0.151596759259260 \tabularnewline
28 & 8.9446 & 8.91383657407407 & 8.920275 & -0.00643842592592586 & 0.0307634259259277 \tabularnewline
29 & 8.9786 & 9.0196300925926 & 9.0339 & -0.0142699074074085 & -0.0410300925925924 \tabularnewline
30 & 9.5862 & 9.18853611111111 & 9.15699166666667 & 0.0315444444444437 & 0.397663888888889 \tabularnewline
31 & 9.6533 & 9.31389768518518 & 9.28774583333333 & 0.0261518518518516 & 0.339402314814816 \tabularnewline
32 & 9.4125 & 9.46908333333333 & 9.42895 & 0.0401333333333336 & -0.0565833333333323 \tabularnewline
33 & 9.2195 & 9.54205462962963 & 9.5622375 & -0.0201828703703704 & -0.322554629629629 \tabularnewline
34 & 9.2882 & 9.63529351851852 & 9.67703333333333 & -0.0417398148148143 & -0.347093518518518 \tabularnewline
35 & 9.6774 & 9.69960324074074 & 9.7662875 & -0.0666842592592594 & -0.0222032407407387 \tabularnewline
36 & 9.6857 & 9.7707837962963 & 9.81955 & -0.0487662037037033 & -0.0850837962962956 \tabularnewline
37 & 10.1688 & 9.9472462962963 & 9.85039166666667 & 0.0968546296296301 & 0.221553703703703 \tabularnewline
38 & 10.4399 & 9.96104814814815 & 9.89827916666666 & 0.0627689814814819 & 0.478851851851854 \tabularnewline
39 & 10.4675 & 9.90612407407407 & 9.96549583333333 & -0.0593717592592592 & 0.561375925925926 \tabularnewline
40 & 10.149 & 10.0294199074074 & 10.0358583333333 & -0.00643842592592586 & 0.119580092592592 \tabularnewline
41 & 9.9163 & 10.0836759259259 & 10.0979458333333 & -0.0142699074074085 & -0.167375925925926 \tabularnewline
42 & 9.9268 & 10.2016902777778 & 10.1701458333333 & 0.0315444444444437 & -0.274890277777779 \tabularnewline
43 & 10.0529 & 10.2794560185185 & 10.2533041666667 & 0.0261518518518516 & -0.226556018518520 \tabularnewline
44 & 10.1622 & 10.3495541666667 & 10.3094208333333 & 0.0401333333333336 & -0.187354166666669 \tabularnewline
45 & 10.083 & 10.3193754629630 & 10.3395583333333 & -0.0201828703703704 & -0.236375462962965 \tabularnewline
46 & 10.1134 & 10.3428851851852 & 10.384625 & -0.0417398148148143 & -0.229485185185185 \tabularnewline
47 & 10.3423 & 10.3833115740741 & 10.4499958333333 & -0.0666842592592594 & -0.0410115740740729 \tabularnewline
48 & 10.7536 & 10.4583587962963 & 10.507125 & -0.0487662037037033 & 0.295241203703705 \tabularnewline
49 & 11.0967 & 10.6287629629630 & 10.5319083333333 & 0.0968546296296301 & 0.467937037037037 \tabularnewline
50 & 10.8588 & 10.5842023148148 & 10.5214333333333 & 0.0627689814814819 & 0.274597685185185 \tabularnewline
51 & 10.7719 & 10.4457740740741 & 10.5051458333333 & -0.0593717592592592 & 0.326125925925924 \tabularnewline
52 & 10.9262 & 10.4853824074074 & 10.4918208333333 & -0.00643842592592586 & 0.440817592592593 \tabularnewline
53 & 10.708 & 10.4434217592593 & 10.4576916666667 & -0.0142699074074085 & 0.264578240740741 \tabularnewline
54 & 10.5062 & 10.4121652777778 & 10.3806208333333 & 0.0315444444444437 & 0.0940347222222204 \tabularnewline
55 & 10.0683 & 10.2922560185185 & 10.2661041666667 & 0.0261518518518516 & -0.223956018518518 \tabularnewline
56 & 9.8954 & 10.1971583333333 & 10.157025 & 0.0401333333333336 & -0.301758333333334 \tabularnewline
57 & 9.9589 & 10.0428421296296 & 10.063025 & -0.0201828703703704 & -0.0839421296296301 \tabularnewline
58 & 9.9177 & 9.92010601851852 & 9.96184583333333 & -0.0417398148148143 & -0.00240601851851707 \tabularnewline
59 & 9.7189 & 9.8059949074074 & 9.87267916666667 & -0.0666842592592594 & -0.0870949074074066 \tabularnewline
60 & 9.5273 & 9.7762962962963 & 9.8250625 & -0.0487662037037033 & -0.248996296296296 \tabularnewline
61 & 9.5746 & 9.91313796296297 & 9.81628333333333 & 0.0968546296296301 & -0.338537962962965 \tabularnewline
62 & 9.763 & 9.89153148148148 & 9.8287625 & 0.0627689814814819 & -0.128531481481481 \tabularnewline
63 & 9.6117 & 9.7899949074074 & 9.84936666666666 & -0.0593717592592592 & -0.178294907407405 \tabularnewline
64 & 9.6581 & 9.86103657407407 & 9.867475 & -0.00643842592592586 & -0.202936574074073 \tabularnewline
65 & 9.8361 & 9.87093842592592 & 9.88520833333333 & -0.0142699074074085 & -0.0348384259259245 \tabularnewline
66 & 10.2353 & 9.95206527777778 & 9.92052083333333 & 0.0315444444444437 & 0.283234722222225 \tabularnewline
67 & 10.1285 & 10.0034351851852 & 9.97728333333333 & 0.0261518518518516 & 0.125064814814815 \tabularnewline
68 & 10.1347 & 10.0641583333333 & 10.024025 & 0.0401333333333336 & 0.0705416666666672 \tabularnewline
69 & 10.2141 & 10.0405796296296 & 10.0607625 & -0.0201828703703704 & 0.173520370370369 \tabularnewline
70 & 10.0971 & 10.0652518518519 & 10.1069916666667 & -0.0417398148148143 & 0.0318481481481463 \tabularnewline
71 & 9.9651 & 10.0899949074074 & 10.1566791666667 & -0.0666842592592594 & -0.124894907407407 \tabularnewline
72 & 10.1286 & 10.1386421296296 & 10.1874083333333 & -0.0487662037037033 & -0.0100421296296300 \tabularnewline
73 & 10.3356 & 10.2945379629630 & 10.1976833333333 & 0.0968546296296301 & 0.0410620370370367 \tabularnewline
74 & 10.1238 & 10.2757939814815 & 10.213025 & 0.0627689814814819 & -0.15199398148148 \tabularnewline
75 & 10.1326 & 10.1685407407407 & 10.2279125 & -0.0593717592592592 & -0.0359407407407417 \tabularnewline
76 & 10.2467 & 10.2405699074074 & 10.2470083333333 & -0.00643842592592586 & 0.00613009259259556 \tabularnewline
77 & 10.44 & 10.2771217592593 & 10.2913916666667 & -0.0142699074074085 & 0.162878240740742 \tabularnewline
78 & 10.3689 & 10.3844402777778 & 10.3528958333333 & 0.0315444444444437 & -0.0155402777777773 \tabularnewline
79 & 10.2415 & 10.4278768518519 & 10.401725 & 0.0261518518518516 & -0.186376851851850 \tabularnewline
80 & 10.3899 & 10.4809333333333 & 10.4408 & 0.0401333333333336 & -0.0910333333333302 \tabularnewline
81 & 10.3162 & 10.4609754629630 & 10.4811583333333 & -0.0201828703703704 & -0.144775462962963 \tabularnewline
82 & 10.4533 & 10.4882601851852 & 10.53 & -0.0417398148148143 & -0.0349601851851826 \tabularnewline
83 & 10.6741 & 10.5183282407407 & 10.5850125 & -0.0666842592592594 & 0.155771759259258 \tabularnewline
84 & 10.8957 & 10.5804546296296 & 10.6292208333333 & -0.0487662037037033 & 0.31524537037037 \tabularnewline
85 & 10.7404 & 10.7662629629630 & 10.6694083333333 & 0.0968546296296301 & -0.0258629629629628 \tabularnewline
86 & 10.6568 & 10.7687689814815 & 10.706 & 0.0627689814814819 & -0.111968981481482 \tabularnewline
87 & 10.5682 & 10.6606157407407 & 10.7199875 & -0.0593717592592592 & -0.0924157407407424 \tabularnewline
88 & 10.9833 & 10.6850740740741 & 10.6915125 & -0.00643842592592586 & 0.298225925925927 \tabularnewline
89 & 11.0237 & 10.5857800925926 & 10.60005 & -0.0142699074074085 & 0.437919907407407 \tabularnewline
90 & 10.8462 & 10.4746069444444 & 10.4430625 & 0.0315444444444437 & 0.371593055555554 \tabularnewline
91 & 10.7287 & 10.3141893518519 & 10.2880375 & 0.0261518518518516 & 0.414510648148147 \tabularnewline
92 & 10.7809 & 10.197875 & 10.1577416666667 & 0.0401333333333336 & 0.583024999999999 \tabularnewline
93 & 10.2609 & 9.99444212962963 & 10.014625 & -0.0201828703703704 & 0.266457870370369 \tabularnewline
94 & 9.8252 & 9.81080601851852 & 9.85254583333333 & -0.0417398148148143 & 0.0143939814814811 \tabularnewline
95 & 9.1071 & 9.6160699074074 & 9.68275416666667 & -0.0666842592592594 & -0.508969907407407 \tabularnewline
96 & 8.695 & 9.48635462962963 & 9.53512083333333 & -0.0487662037037033 & -0.79135462962963 \tabularnewline
97 & 9.2205 & 9.5202837962963 & 9.42342916666667 & 0.0968546296296301 & -0.299783796296298 \tabularnewline
98 & 9.0496 & 9.39009814814815 & 9.32732916666667 & 0.0627689814814819 & -0.340498148148146 \tabularnewline
99 & 8.7406 & 9.19842824074074 & 9.2578 & -0.0593717592592592 & -0.45782824074074 \tabularnewline
100 & 8.921 & 9.23492407407407 & 9.2413625 & -0.00643842592592586 & -0.313924074074071 \tabularnewline
101 & 9.011 & 9.27400925925926 & 9.28827916666667 & -0.0142699074074085 & -0.263009259259261 \tabularnewline
102 & 9.3157 & 9.42381527777778 & 9.39227083333333 & 0.0315444444444437 & -0.108115277777779 \tabularnewline
103 & 9.5786 & 9.51196018518518 & 9.48580833333333 & 0.0261518518518516 & 0.0666398148148151 \tabularnewline
104 & 9.6246 & 9.58640833333333 & 9.546275 & 0.0401333333333336 & 0.0381916666666662 \tabularnewline
105 & 9.7485 & 9.58024212962963 & 9.600425 & -0.0201828703703704 & 0.16825787037037 \tabularnewline
106 & 9.9431 & 9.59813935185185 & 9.63987916666667 & -0.0417398148148143 & 0.344960648148147 \tabularnewline
107 & 10.1152 & 9.59322824074074 & 9.6599125 & -0.0666842592592594 & 0.521971759259261 \tabularnewline
108 & 10.1827 & 9.58627962962963 & 9.63504583333333 & -0.0487662037037033 & 0.596420370370371 \tabularnewline
109 & 9.9777 & 9.64896712962963 & 9.5521125 & 0.0968546296296301 & 0.328732870370372 \tabularnewline
110 & 9.7436 & 9.52217731481481 & 9.45940833333333 & 0.0627689814814819 & 0.221422685185187 \tabularnewline
111 & 9.3462 & 9.31806574074074 & 9.3774375 & -0.0593717592592592 & 0.0281342592592591 \tabularnewline
112 & 9.2623 & 9.2822824074074 & 9.28872083333333 & -0.00643842592592586 & -0.0199824074074080 \tabularnewline
113 & 9.1505 & 9.1918925925926 & 9.2061625 & -0.0142699074074085 & -0.0413925925925938 \tabularnewline
114 & 8.5794 & 9.15679444444444 & 9.12525 & 0.0315444444444437 & -0.577394444444444 \tabularnewline
115 & 8.3245 & NA & NA & 0.0261518518518516 & NA \tabularnewline
116 & 8.6538 & NA & NA & 0.0401333333333336 & NA \tabularnewline
117 & 8.752 & NA & NA & -0.0201828703703704 & NA \tabularnewline
118 & 8.8104 & NA & NA & -0.0417398148148143 & NA \tabularnewline
119 & 9.2665 & NA & NA & -0.0666842592592594 & NA \tabularnewline
120 & 9.0895 & NA & NA & -0.0487662037037033 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115571&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]7.4271[/C][C]NA[/C][C]NA[/C][C]0.0968546296296301[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]7.7662[/C][C]NA[/C][C]NA[/C][C]0.0627689814814819[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]7.6289[/C][C]NA[/C][C]NA[/C][C]-0.0593717592592592[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]7.5281[/C][C]NA[/C][C]NA[/C][C]-0.00643842592592586[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7.3831[/C][C]NA[/C][C]NA[/C][C]-0.0142699074074085[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7.2355[/C][C]NA[/C][C]NA[/C][C]0.0315444444444437[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]7.0617[/C][C]7.44103101851852[/C][C]7.41487916666667[/C][C]0.0261518518518516[/C][C]-0.379331018518517[/C][/ROW]
[ROW][C]8[/C][C]7.1237[/C][C]7.43434166666667[/C][C]7.39420833333333[/C][C]0.0401333333333336[/C][C]-0.310641666666665[/C][/ROW]
[ROW][C]9[/C][C]7.4533[/C][C]7.33724212962963[/C][C]7.357425[/C][C]-0.0201828703703704[/C][C]0.116057870370372[/C][/ROW]
[ROW][C]10[/C][C]7.5411[/C][C]7.28623935185185[/C][C]7.32797916666667[/C][C]-0.0417398148148143[/C][C]0.254860648148149[/C][/ROW]
[ROW][C]11[/C][C]7.4978[/C][C]7.24754074074074[/C][C]7.314225[/C][C]-0.0666842592592594[/C][C]0.25025925925926[/C][/ROW]
[ROW][C]12[/C][C]7.3525[/C][C]7.27810462962963[/C][C]7.32687083333333[/C][C]-0.0487662037037033[/C][C]0.0743953703703708[/C][/ROW]
[ROW][C]13[/C][C]7.3862[/C][C]7.47376712962963[/C][C]7.3769125[/C][C]0.0968546296296301[/C][C]-0.0875671296296296[/C][/ROW]
[ROW][C]14[/C][C]7.311[/C][C]7.52031064814815[/C][C]7.45754166666667[/C][C]0.0627689814814819[/C][C]-0.209310648148148[/C][/ROW]
[ROW][C]15[/C][C]7.2013[/C][C]7.47017824074074[/C][C]7.52955[/C][C]-0.0593717592592592[/C][C]-0.26887824074074[/C][/ROW]
[ROW][C]16[/C][C]7.249[/C][C]7.57379907407407[/C][C]7.5802375[/C][C]-0.00643842592592586[/C][C]-0.324799074074074[/C][/ROW]
[ROW][C]17[/C][C]7.3321[/C][C]7.61595509259259[/C][C]7.630225[/C][C]-0.0142699074074085[/C][C]-0.283855092592590[/C][/ROW]
[ROW][C]18[/C][C]7.59[/C][C]7.72671111111111[/C][C]7.69516666666667[/C][C]0.0315444444444437[/C][C]-0.136711111111111[/C][/ROW]
[ROW][C]19[/C][C]7.9082[/C][C]7.80372268518519[/C][C]7.77757083333333[/C][C]0.0261518518518516[/C][C]0.104477314814814[/C][/ROW]
[ROW][C]20[/C][C]8.2123[/C][C]7.9228125[/C][C]7.88267916666666[/C][C]0.0401333333333336[/C][C]0.289487500000003[/C][/ROW]
[ROW][C]21[/C][C]8.0929[/C][C]7.9956712962963[/C][C]8.01585416666667[/C][C]-0.0201828703703704[/C][C]0.0972287037037045[/C][/ROW]
[ROW][C]22[/C][C]8.118[/C][C]8.11624351851852[/C][C]8.15798333333333[/C][C]-0.0417398148148143[/C][C]0.00175648148148255[/C][/ROW]
[ROW][C]23[/C][C]8.1206[/C][C]8.23055324074074[/C][C]8.2972375[/C][C]-0.0666842592592594[/C][C]-0.109953240740740[/C][/ROW]
[ROW][C]24[/C][C]8.2883[/C][C]8.40025046296296[/C][C]8.44901666666667[/C][C]-0.0487662037037033[/C][C]-0.111950462962962[/C][/ROW]
[ROW][C]25[/C][C]8.4281[/C][C]8.7017587962963[/C][C]8.60490416666667[/C][C]0.0968546296296301[/C][C]-0.273658796296296[/C][/ROW]
[ROW][C]26[/C][C]8.7917[/C][C]8.79039398148148[/C][C]8.727625[/C][C]0.0627689814814819[/C][C]0.00130601851851964[/C][/ROW]
[ROW][C]27[/C][C]8.9168[/C][C]8.76520324074074[/C][C]8.824575[/C][C]-0.0593717592592592[/C][C]0.151596759259260[/C][/ROW]
[ROW][C]28[/C][C]8.9446[/C][C]8.91383657407407[/C][C]8.920275[/C][C]-0.00643842592592586[/C][C]0.0307634259259277[/C][/ROW]
[ROW][C]29[/C][C]8.9786[/C][C]9.0196300925926[/C][C]9.0339[/C][C]-0.0142699074074085[/C][C]-0.0410300925925924[/C][/ROW]
[ROW][C]30[/C][C]9.5862[/C][C]9.18853611111111[/C][C]9.15699166666667[/C][C]0.0315444444444437[/C][C]0.397663888888889[/C][/ROW]
[ROW][C]31[/C][C]9.6533[/C][C]9.31389768518518[/C][C]9.28774583333333[/C][C]0.0261518518518516[/C][C]0.339402314814816[/C][/ROW]
[ROW][C]32[/C][C]9.4125[/C][C]9.46908333333333[/C][C]9.42895[/C][C]0.0401333333333336[/C][C]-0.0565833333333323[/C][/ROW]
[ROW][C]33[/C][C]9.2195[/C][C]9.54205462962963[/C][C]9.5622375[/C][C]-0.0201828703703704[/C][C]-0.322554629629629[/C][/ROW]
[ROW][C]34[/C][C]9.2882[/C][C]9.63529351851852[/C][C]9.67703333333333[/C][C]-0.0417398148148143[/C][C]-0.347093518518518[/C][/ROW]
[ROW][C]35[/C][C]9.6774[/C][C]9.69960324074074[/C][C]9.7662875[/C][C]-0.0666842592592594[/C][C]-0.0222032407407387[/C][/ROW]
[ROW][C]36[/C][C]9.6857[/C][C]9.7707837962963[/C][C]9.81955[/C][C]-0.0487662037037033[/C][C]-0.0850837962962956[/C][/ROW]
[ROW][C]37[/C][C]10.1688[/C][C]9.9472462962963[/C][C]9.85039166666667[/C][C]0.0968546296296301[/C][C]0.221553703703703[/C][/ROW]
[ROW][C]38[/C][C]10.4399[/C][C]9.96104814814815[/C][C]9.89827916666666[/C][C]0.0627689814814819[/C][C]0.478851851851854[/C][/ROW]
[ROW][C]39[/C][C]10.4675[/C][C]9.90612407407407[/C][C]9.96549583333333[/C][C]-0.0593717592592592[/C][C]0.561375925925926[/C][/ROW]
[ROW][C]40[/C][C]10.149[/C][C]10.0294199074074[/C][C]10.0358583333333[/C][C]-0.00643842592592586[/C][C]0.119580092592592[/C][/ROW]
[ROW][C]41[/C][C]9.9163[/C][C]10.0836759259259[/C][C]10.0979458333333[/C][C]-0.0142699074074085[/C][C]-0.167375925925926[/C][/ROW]
[ROW][C]42[/C][C]9.9268[/C][C]10.2016902777778[/C][C]10.1701458333333[/C][C]0.0315444444444437[/C][C]-0.274890277777779[/C][/ROW]
[ROW][C]43[/C][C]10.0529[/C][C]10.2794560185185[/C][C]10.2533041666667[/C][C]0.0261518518518516[/C][C]-0.226556018518520[/C][/ROW]
[ROW][C]44[/C][C]10.1622[/C][C]10.3495541666667[/C][C]10.3094208333333[/C][C]0.0401333333333336[/C][C]-0.187354166666669[/C][/ROW]
[ROW][C]45[/C][C]10.083[/C][C]10.3193754629630[/C][C]10.3395583333333[/C][C]-0.0201828703703704[/C][C]-0.236375462962965[/C][/ROW]
[ROW][C]46[/C][C]10.1134[/C][C]10.3428851851852[/C][C]10.384625[/C][C]-0.0417398148148143[/C][C]-0.229485185185185[/C][/ROW]
[ROW][C]47[/C][C]10.3423[/C][C]10.3833115740741[/C][C]10.4499958333333[/C][C]-0.0666842592592594[/C][C]-0.0410115740740729[/C][/ROW]
[ROW][C]48[/C][C]10.7536[/C][C]10.4583587962963[/C][C]10.507125[/C][C]-0.0487662037037033[/C][C]0.295241203703705[/C][/ROW]
[ROW][C]49[/C][C]11.0967[/C][C]10.6287629629630[/C][C]10.5319083333333[/C][C]0.0968546296296301[/C][C]0.467937037037037[/C][/ROW]
[ROW][C]50[/C][C]10.8588[/C][C]10.5842023148148[/C][C]10.5214333333333[/C][C]0.0627689814814819[/C][C]0.274597685185185[/C][/ROW]
[ROW][C]51[/C][C]10.7719[/C][C]10.4457740740741[/C][C]10.5051458333333[/C][C]-0.0593717592592592[/C][C]0.326125925925924[/C][/ROW]
[ROW][C]52[/C][C]10.9262[/C][C]10.4853824074074[/C][C]10.4918208333333[/C][C]-0.00643842592592586[/C][C]0.440817592592593[/C][/ROW]
[ROW][C]53[/C][C]10.708[/C][C]10.4434217592593[/C][C]10.4576916666667[/C][C]-0.0142699074074085[/C][C]0.264578240740741[/C][/ROW]
[ROW][C]54[/C][C]10.5062[/C][C]10.4121652777778[/C][C]10.3806208333333[/C][C]0.0315444444444437[/C][C]0.0940347222222204[/C][/ROW]
[ROW][C]55[/C][C]10.0683[/C][C]10.2922560185185[/C][C]10.2661041666667[/C][C]0.0261518518518516[/C][C]-0.223956018518518[/C][/ROW]
[ROW][C]56[/C][C]9.8954[/C][C]10.1971583333333[/C][C]10.157025[/C][C]0.0401333333333336[/C][C]-0.301758333333334[/C][/ROW]
[ROW][C]57[/C][C]9.9589[/C][C]10.0428421296296[/C][C]10.063025[/C][C]-0.0201828703703704[/C][C]-0.0839421296296301[/C][/ROW]
[ROW][C]58[/C][C]9.9177[/C][C]9.92010601851852[/C][C]9.96184583333333[/C][C]-0.0417398148148143[/C][C]-0.00240601851851707[/C][/ROW]
[ROW][C]59[/C][C]9.7189[/C][C]9.8059949074074[/C][C]9.87267916666667[/C][C]-0.0666842592592594[/C][C]-0.0870949074074066[/C][/ROW]
[ROW][C]60[/C][C]9.5273[/C][C]9.7762962962963[/C][C]9.8250625[/C][C]-0.0487662037037033[/C][C]-0.248996296296296[/C][/ROW]
[ROW][C]61[/C][C]9.5746[/C][C]9.91313796296297[/C][C]9.81628333333333[/C][C]0.0968546296296301[/C][C]-0.338537962962965[/C][/ROW]
[ROW][C]62[/C][C]9.763[/C][C]9.89153148148148[/C][C]9.8287625[/C][C]0.0627689814814819[/C][C]-0.128531481481481[/C][/ROW]
[ROW][C]63[/C][C]9.6117[/C][C]9.7899949074074[/C][C]9.84936666666666[/C][C]-0.0593717592592592[/C][C]-0.178294907407405[/C][/ROW]
[ROW][C]64[/C][C]9.6581[/C][C]9.86103657407407[/C][C]9.867475[/C][C]-0.00643842592592586[/C][C]-0.202936574074073[/C][/ROW]
[ROW][C]65[/C][C]9.8361[/C][C]9.87093842592592[/C][C]9.88520833333333[/C][C]-0.0142699074074085[/C][C]-0.0348384259259245[/C][/ROW]
[ROW][C]66[/C][C]10.2353[/C][C]9.95206527777778[/C][C]9.92052083333333[/C][C]0.0315444444444437[/C][C]0.283234722222225[/C][/ROW]
[ROW][C]67[/C][C]10.1285[/C][C]10.0034351851852[/C][C]9.97728333333333[/C][C]0.0261518518518516[/C][C]0.125064814814815[/C][/ROW]
[ROW][C]68[/C][C]10.1347[/C][C]10.0641583333333[/C][C]10.024025[/C][C]0.0401333333333336[/C][C]0.0705416666666672[/C][/ROW]
[ROW][C]69[/C][C]10.2141[/C][C]10.0405796296296[/C][C]10.0607625[/C][C]-0.0201828703703704[/C][C]0.173520370370369[/C][/ROW]
[ROW][C]70[/C][C]10.0971[/C][C]10.0652518518519[/C][C]10.1069916666667[/C][C]-0.0417398148148143[/C][C]0.0318481481481463[/C][/ROW]
[ROW][C]71[/C][C]9.9651[/C][C]10.0899949074074[/C][C]10.1566791666667[/C][C]-0.0666842592592594[/C][C]-0.124894907407407[/C][/ROW]
[ROW][C]72[/C][C]10.1286[/C][C]10.1386421296296[/C][C]10.1874083333333[/C][C]-0.0487662037037033[/C][C]-0.0100421296296300[/C][/ROW]
[ROW][C]73[/C][C]10.3356[/C][C]10.2945379629630[/C][C]10.1976833333333[/C][C]0.0968546296296301[/C][C]0.0410620370370367[/C][/ROW]
[ROW][C]74[/C][C]10.1238[/C][C]10.2757939814815[/C][C]10.213025[/C][C]0.0627689814814819[/C][C]-0.15199398148148[/C][/ROW]
[ROW][C]75[/C][C]10.1326[/C][C]10.1685407407407[/C][C]10.2279125[/C][C]-0.0593717592592592[/C][C]-0.0359407407407417[/C][/ROW]
[ROW][C]76[/C][C]10.2467[/C][C]10.2405699074074[/C][C]10.2470083333333[/C][C]-0.00643842592592586[/C][C]0.00613009259259556[/C][/ROW]
[ROW][C]77[/C][C]10.44[/C][C]10.2771217592593[/C][C]10.2913916666667[/C][C]-0.0142699074074085[/C][C]0.162878240740742[/C][/ROW]
[ROW][C]78[/C][C]10.3689[/C][C]10.3844402777778[/C][C]10.3528958333333[/C][C]0.0315444444444437[/C][C]-0.0155402777777773[/C][/ROW]
[ROW][C]79[/C][C]10.2415[/C][C]10.4278768518519[/C][C]10.401725[/C][C]0.0261518518518516[/C][C]-0.186376851851850[/C][/ROW]
[ROW][C]80[/C][C]10.3899[/C][C]10.4809333333333[/C][C]10.4408[/C][C]0.0401333333333336[/C][C]-0.0910333333333302[/C][/ROW]
[ROW][C]81[/C][C]10.3162[/C][C]10.4609754629630[/C][C]10.4811583333333[/C][C]-0.0201828703703704[/C][C]-0.144775462962963[/C][/ROW]
[ROW][C]82[/C][C]10.4533[/C][C]10.4882601851852[/C][C]10.53[/C][C]-0.0417398148148143[/C][C]-0.0349601851851826[/C][/ROW]
[ROW][C]83[/C][C]10.6741[/C][C]10.5183282407407[/C][C]10.5850125[/C][C]-0.0666842592592594[/C][C]0.155771759259258[/C][/ROW]
[ROW][C]84[/C][C]10.8957[/C][C]10.5804546296296[/C][C]10.6292208333333[/C][C]-0.0487662037037033[/C][C]0.31524537037037[/C][/ROW]
[ROW][C]85[/C][C]10.7404[/C][C]10.7662629629630[/C][C]10.6694083333333[/C][C]0.0968546296296301[/C][C]-0.0258629629629628[/C][/ROW]
[ROW][C]86[/C][C]10.6568[/C][C]10.7687689814815[/C][C]10.706[/C][C]0.0627689814814819[/C][C]-0.111968981481482[/C][/ROW]
[ROW][C]87[/C][C]10.5682[/C][C]10.6606157407407[/C][C]10.7199875[/C][C]-0.0593717592592592[/C][C]-0.0924157407407424[/C][/ROW]
[ROW][C]88[/C][C]10.9833[/C][C]10.6850740740741[/C][C]10.6915125[/C][C]-0.00643842592592586[/C][C]0.298225925925927[/C][/ROW]
[ROW][C]89[/C][C]11.0237[/C][C]10.5857800925926[/C][C]10.60005[/C][C]-0.0142699074074085[/C][C]0.437919907407407[/C][/ROW]
[ROW][C]90[/C][C]10.8462[/C][C]10.4746069444444[/C][C]10.4430625[/C][C]0.0315444444444437[/C][C]0.371593055555554[/C][/ROW]
[ROW][C]91[/C][C]10.7287[/C][C]10.3141893518519[/C][C]10.2880375[/C][C]0.0261518518518516[/C][C]0.414510648148147[/C][/ROW]
[ROW][C]92[/C][C]10.7809[/C][C]10.197875[/C][C]10.1577416666667[/C][C]0.0401333333333336[/C][C]0.583024999999999[/C][/ROW]
[ROW][C]93[/C][C]10.2609[/C][C]9.99444212962963[/C][C]10.014625[/C][C]-0.0201828703703704[/C][C]0.266457870370369[/C][/ROW]
[ROW][C]94[/C][C]9.8252[/C][C]9.81080601851852[/C][C]9.85254583333333[/C][C]-0.0417398148148143[/C][C]0.0143939814814811[/C][/ROW]
[ROW][C]95[/C][C]9.1071[/C][C]9.6160699074074[/C][C]9.68275416666667[/C][C]-0.0666842592592594[/C][C]-0.508969907407407[/C][/ROW]
[ROW][C]96[/C][C]8.695[/C][C]9.48635462962963[/C][C]9.53512083333333[/C][C]-0.0487662037037033[/C][C]-0.79135462962963[/C][/ROW]
[ROW][C]97[/C][C]9.2205[/C][C]9.5202837962963[/C][C]9.42342916666667[/C][C]0.0968546296296301[/C][C]-0.299783796296298[/C][/ROW]
[ROW][C]98[/C][C]9.0496[/C][C]9.39009814814815[/C][C]9.32732916666667[/C][C]0.0627689814814819[/C][C]-0.340498148148146[/C][/ROW]
[ROW][C]99[/C][C]8.7406[/C][C]9.19842824074074[/C][C]9.2578[/C][C]-0.0593717592592592[/C][C]-0.45782824074074[/C][/ROW]
[ROW][C]100[/C][C]8.921[/C][C]9.23492407407407[/C][C]9.2413625[/C][C]-0.00643842592592586[/C][C]-0.313924074074071[/C][/ROW]
[ROW][C]101[/C][C]9.011[/C][C]9.27400925925926[/C][C]9.28827916666667[/C][C]-0.0142699074074085[/C][C]-0.263009259259261[/C][/ROW]
[ROW][C]102[/C][C]9.3157[/C][C]9.42381527777778[/C][C]9.39227083333333[/C][C]0.0315444444444437[/C][C]-0.108115277777779[/C][/ROW]
[ROW][C]103[/C][C]9.5786[/C][C]9.51196018518518[/C][C]9.48580833333333[/C][C]0.0261518518518516[/C][C]0.0666398148148151[/C][/ROW]
[ROW][C]104[/C][C]9.6246[/C][C]9.58640833333333[/C][C]9.546275[/C][C]0.0401333333333336[/C][C]0.0381916666666662[/C][/ROW]
[ROW][C]105[/C][C]9.7485[/C][C]9.58024212962963[/C][C]9.600425[/C][C]-0.0201828703703704[/C][C]0.16825787037037[/C][/ROW]
[ROW][C]106[/C][C]9.9431[/C][C]9.59813935185185[/C][C]9.63987916666667[/C][C]-0.0417398148148143[/C][C]0.344960648148147[/C][/ROW]
[ROW][C]107[/C][C]10.1152[/C][C]9.59322824074074[/C][C]9.6599125[/C][C]-0.0666842592592594[/C][C]0.521971759259261[/C][/ROW]
[ROW][C]108[/C][C]10.1827[/C][C]9.58627962962963[/C][C]9.63504583333333[/C][C]-0.0487662037037033[/C][C]0.596420370370371[/C][/ROW]
[ROW][C]109[/C][C]9.9777[/C][C]9.64896712962963[/C][C]9.5521125[/C][C]0.0968546296296301[/C][C]0.328732870370372[/C][/ROW]
[ROW][C]110[/C][C]9.7436[/C][C]9.52217731481481[/C][C]9.45940833333333[/C][C]0.0627689814814819[/C][C]0.221422685185187[/C][/ROW]
[ROW][C]111[/C][C]9.3462[/C][C]9.31806574074074[/C][C]9.3774375[/C][C]-0.0593717592592592[/C][C]0.0281342592592591[/C][/ROW]
[ROW][C]112[/C][C]9.2623[/C][C]9.2822824074074[/C][C]9.28872083333333[/C][C]-0.00643842592592586[/C][C]-0.0199824074074080[/C][/ROW]
[ROW][C]113[/C][C]9.1505[/C][C]9.1918925925926[/C][C]9.2061625[/C][C]-0.0142699074074085[/C][C]-0.0413925925925938[/C][/ROW]
[ROW][C]114[/C][C]8.5794[/C][C]9.15679444444444[/C][C]9.12525[/C][C]0.0315444444444437[/C][C]-0.577394444444444[/C][/ROW]
[ROW][C]115[/C][C]8.3245[/C][C]NA[/C][C]NA[/C][C]0.0261518518518516[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]8.6538[/C][C]NA[/C][C]NA[/C][C]0.0401333333333336[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]8.752[/C][C]NA[/C][C]NA[/C][C]-0.0201828703703704[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]8.8104[/C][C]NA[/C][C]NA[/C][C]-0.0417398148148143[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]9.2665[/C][C]NA[/C][C]NA[/C][C]-0.0666842592592594[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]9.0895[/C][C]NA[/C][C]NA[/C][C]-0.0487662037037033[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115571&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115571&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
17.4271NANA0.0968546296296301NA
27.7662NANA0.0627689814814819NA
37.6289NANA-0.0593717592592592NA
47.5281NANA-0.00643842592592586NA
57.3831NANA-0.0142699074074085NA
67.2355NANA0.0315444444444437NA
77.06177.441031018518527.414879166666670.0261518518518516-0.379331018518517
87.12377.434341666666677.394208333333330.0401333333333336-0.310641666666665
97.45337.337242129629637.357425-0.02018287037037040.116057870370372
107.54117.286239351851857.32797916666667-0.04173981481481430.254860648148149
117.49787.247540740740747.314225-0.06668425925925940.25025925925926
127.35257.278104629629637.32687083333333-0.04876620370370330.0743953703703708
137.38627.473767129629637.37691250.0968546296296301-0.0875671296296296
147.3117.520310648148157.457541666666670.0627689814814819-0.209310648148148
157.20137.470178240740747.52955-0.0593717592592592-0.26887824074074
167.2497.573799074074077.5802375-0.00643842592592586-0.324799074074074
177.33217.615955092592597.630225-0.0142699074074085-0.283855092592590
187.597.726711111111117.695166666666670.0315444444444437-0.136711111111111
197.90827.803722685185197.777570833333330.02615185185185160.104477314814814
208.21237.92281257.882679166666660.04013333333333360.289487500000003
218.09297.99567129629638.01585416666667-0.02018287037037040.0972287037037045
228.1188.116243518518528.15798333333333-0.04173981481481430.00175648148148255
238.12068.230553240740748.2972375-0.0666842592592594-0.109953240740740
248.28838.400250462962968.44901666666667-0.0487662037037033-0.111950462962962
258.42818.70175879629638.604904166666670.0968546296296301-0.273658796296296
268.79178.790393981481488.7276250.06276898148148190.00130601851851964
278.91688.765203240740748.824575-0.05937175925925920.151596759259260
288.94468.913836574074078.920275-0.006438425925925860.0307634259259277
298.97869.01963009259269.0339-0.0142699074074085-0.0410300925925924
309.58629.188536111111119.156991666666670.03154444444444370.397663888888889
319.65339.313897685185189.287745833333330.02615185185185160.339402314814816
329.41259.469083333333339.428950.0401333333333336-0.0565833333333323
339.21959.542054629629639.5622375-0.0201828703703704-0.322554629629629
349.28829.635293518518529.67703333333333-0.0417398148148143-0.347093518518518
359.67749.699603240740749.7662875-0.0666842592592594-0.0222032407407387
369.68579.77078379629639.81955-0.0487662037037033-0.0850837962962956
3710.16889.94724629629639.850391666666670.09685462962963010.221553703703703
3810.43999.961048148148159.898279166666660.06276898148148190.478851851851854
3910.46759.906124074074079.96549583333333-0.05937175925925920.561375925925926
4010.14910.029419907407410.0358583333333-0.006438425925925860.119580092592592
419.916310.083675925925910.0979458333333-0.0142699074074085-0.167375925925926
429.926810.201690277777810.17014583333330.0315444444444437-0.274890277777779
4310.052910.279456018518510.25330416666670.0261518518518516-0.226556018518520
4410.162210.349554166666710.30942083333330.0401333333333336-0.187354166666669
4510.08310.319375462963010.3395583333333-0.0201828703703704-0.236375462962965
4610.113410.342885185185210.384625-0.0417398148148143-0.229485185185185
4710.342310.383311574074110.4499958333333-0.0666842592592594-0.0410115740740729
4810.753610.458358796296310.507125-0.04876620370370330.295241203703705
4911.096710.628762962963010.53190833333330.09685462962963010.467937037037037
5010.858810.584202314814810.52143333333330.06276898148148190.274597685185185
5110.771910.445774074074110.5051458333333-0.05937175925925920.326125925925924
5210.926210.485382407407410.4918208333333-0.006438425925925860.440817592592593
5310.70810.443421759259310.4576916666667-0.01426990740740850.264578240740741
5410.506210.412165277777810.38062083333330.03154444444444370.0940347222222204
5510.068310.292256018518510.26610416666670.0261518518518516-0.223956018518518
569.895410.197158333333310.1570250.0401333333333336-0.301758333333334
579.958910.042842129629610.063025-0.0201828703703704-0.0839421296296301
589.91779.920106018518529.96184583333333-0.0417398148148143-0.00240601851851707
599.71899.80599490740749.87267916666667-0.0666842592592594-0.0870949074074066
609.52739.77629629629639.8250625-0.0487662037037033-0.248996296296296
619.57469.913137962962979.816283333333330.0968546296296301-0.338537962962965
629.7639.891531481481489.82876250.0627689814814819-0.128531481481481
639.61179.78999490740749.84936666666666-0.0593717592592592-0.178294907407405
649.65819.861036574074079.867475-0.00643842592592586-0.202936574074073
659.83619.870938425925929.88520833333333-0.0142699074074085-0.0348384259259245
6610.23539.952065277777789.920520833333330.03154444444444370.283234722222225
6710.128510.00343518518529.977283333333330.02615185185185160.125064814814815
6810.134710.064158333333310.0240250.04013333333333360.0705416666666672
6910.214110.040579629629610.0607625-0.02018287037037040.173520370370369
7010.097110.065251851851910.1069916666667-0.04173981481481430.0318481481481463
719.965110.089994907407410.1566791666667-0.0666842592592594-0.124894907407407
7210.128610.138642129629610.1874083333333-0.0487662037037033-0.0100421296296300
7310.335610.294537962963010.19768333333330.09685462962963010.0410620370370367
7410.123810.275793981481510.2130250.0627689814814819-0.15199398148148
7510.132610.168540740740710.2279125-0.0593717592592592-0.0359407407407417
7610.246710.240569907407410.2470083333333-0.006438425925925860.00613009259259556
7710.4410.277121759259310.2913916666667-0.01426990740740850.162878240740742
7810.368910.384440277777810.35289583333330.0315444444444437-0.0155402777777773
7910.241510.427876851851910.4017250.0261518518518516-0.186376851851850
8010.389910.480933333333310.44080.0401333333333336-0.0910333333333302
8110.316210.460975462963010.4811583333333-0.0201828703703704-0.144775462962963
8210.453310.488260185185210.53-0.0417398148148143-0.0349601851851826
8310.674110.518328240740710.5850125-0.06668425925925940.155771759259258
8410.895710.580454629629610.6292208333333-0.04876620370370330.31524537037037
8510.740410.766262962963010.66940833333330.0968546296296301-0.0258629629629628
8610.656810.768768981481510.7060.0627689814814819-0.111968981481482
8710.568210.660615740740710.7199875-0.0593717592592592-0.0924157407407424
8810.983310.685074074074110.6915125-0.006438425925925860.298225925925927
8911.023710.585780092592610.60005-0.01426990740740850.437919907407407
9010.846210.474606944444410.44306250.03154444444444370.371593055555554
9110.728710.314189351851910.28803750.02615185185185160.414510648148147
9210.780910.19787510.15774166666670.04013333333333360.583024999999999
9310.26099.9944421296296310.014625-0.02018287037037040.266457870370369
949.82529.810806018518529.85254583333333-0.04173981481481430.0143939814814811
959.10719.61606990740749.68275416666667-0.0666842592592594-0.508969907407407
968.6959.486354629629639.53512083333333-0.0487662037037033-0.79135462962963
979.22059.52028379629639.423429166666670.0968546296296301-0.299783796296298
989.04969.390098148148159.327329166666670.0627689814814819-0.340498148148146
998.74069.198428240740749.2578-0.0593717592592592-0.45782824074074
1008.9219.234924074074079.2413625-0.00643842592592586-0.313924074074071
1019.0119.274009259259269.28827916666667-0.0142699074074085-0.263009259259261
1029.31579.423815277777789.392270833333330.0315444444444437-0.108115277777779
1039.57869.511960185185189.485808333333330.02615185185185160.0666398148148151
1049.62469.586408333333339.5462750.04013333333333360.0381916666666662
1059.74859.580242129629639.600425-0.02018287037037040.16825787037037
1069.94319.598139351851859.63987916666667-0.04173981481481430.344960648148147
10710.11529.593228240740749.6599125-0.06668425925925940.521971759259261
10810.18279.586279629629639.63504583333333-0.04876620370370330.596420370370371
1099.97779.648967129629639.55211250.09685462962963010.328732870370372
1109.74369.522177314814819.459408333333330.06276898148148190.221422685185187
1119.34629.318065740740749.3774375-0.05937175925925920.0281342592592591
1129.26239.28228240740749.28872083333333-0.00643842592592586-0.0199824074074080
1139.15059.19189259259269.2061625-0.0142699074074085-0.0413925925925938
1148.57949.156794444444449.125250.0315444444444437-0.577394444444444
1158.3245NANA0.0261518518518516NA
1168.6538NANA0.0401333333333336NA
1178.752NANA-0.0201828703703704NA
1188.8104NANA-0.0417398148148143NA
1199.2665NANA-0.0666842592592594NA
1209.0895NANA-0.0487662037037033NA


Figures (Output of Computation)

Input Parameters & R Code

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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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')