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Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationThu, 10 Dec 2015 18:06:43 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/10/t14497709384url45xy4c89jcx.htm/, Retrieved Thu, 16 May 2024 18:29:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285831, Retrieved Thu, 16 May 2024 18:29:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Decompositie Loes...] [2015-12-10 18:06:43] [3c36ff81d38607067ba7784098af4691] [Current]
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Dataseries X:
53.361
56.628
62.073
62.073
71.1295
76.86575
79.16025
81.45475
78.969
83.755
82.5585
76.576
81.609
79.136
86.555
90.2645
78.315
82.23075
62.652
69.17825
72.252
62.886
65.562
58.872
70.21425
72.96775
82.605
81.22825
84.5175
80.22
75.9225
64.4625
69.56
68.08
63.64
74
80.548
96.038
89.842
103.783
91.04325
97.43225
115.002
103.82125
101.30575
104.62725
106.288
116.2525
130.72
123.84
129
120.4
139.593
132.246
137.75625
143.2665




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285831&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285831&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285831&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal561057
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 561 & 0 & 57 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285831&T=1

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Parameters[/C][/ROW]
[ROW][C]Component[/C][C]Window[/C][C]Degree[/C][C]Jump[/C][/ROW]
[ROW][C]Seasonal[/C][C]561[/C][C]0[/C][C]57[/C][/ROW]
[ROW][C]Trend[/C][C]19[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]Low-pass[/C][C]13[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285831&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285831&T=1

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal561057
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
153.36151.6762169883410.66606724716709954.3797157644919-1.68478301165901
256.62854.12625691465791.6291043954826457.5006386898595-2.50174308534212
362.07359.07075108898194.4536872957910460.6215616152271-3.0022489110181
462.07355.96088897542924.6255101463548163.559600878216-6.11211102457082
571.129571.12889399144334.6324658673517166.497640141205-0.000606008556673032
676.8657580.45830720446564.0254864449817269.24770635055263.59255720446563
779.1602583.48387541713522.838852022964571.99777255990034.32362541713518
881.4547588.727516692737-0.46792367124617774.64990697850927.27276669273699
978.96983.6999949466869-3.0640363438049977.30204139711814.73099494668693
1083.75593.7025326793023-5.3640335910838279.17150091178159.94753267930226
1182.558591.3803803678582-7.3043407943032681.0409604264458.82188036785823
1276.57678.7324544371725-6.6708394497275381.0903850125552.15645443717254
1381.60981.4121231541680.66606724716709981.1398095986649-0.196876845832037
1479.13676.54709237371431.6291043954826480.0958032308031-2.5889076262857
1586.55589.60451584126784.4536872957910479.05179686294123.04951584126778
1690.264598.25936847393884.6255101463548177.64412137970647.99486847393878
1778.31575.76108823617674.6324658673517176.2364458964716-2.55391176382332
1882.2307585.47444770680484.0254864449817274.96156584821353.24369770680478
1962.65248.77846217708012.838852022964573.6866857999554-13.8735378229199
2069.1782565.9587124494377-0.46792367124617772.8657112218085-3.21953755056234
2172.25275.5232997001433-3.0640363438049972.04473664366173.27129970014335
2262.88659.2727177666734-5.3640335910838271.8633158244104-3.61328223332656
2365.56266.7464457891441-7.3043407943032671.68189500515911.18444578914415
2458.87252.3999942735238-6.6708394497275372.0148451762037-6.47200572647617
2570.2142567.41463740558460.66606724716709972.3477953472483-2.79961259441536
2672.9677571.67509641391691.6291043954826472.6312991906004-1.29265358608309
2782.60587.84150967025634.4536872957910472.91480303395265.23650967025634
2881.2282584.72723260664474.6255101463548173.10375724700053.49898260664466
2984.517591.10982267259984.6324658673517173.29271146004846.59232267259985
3080.2282.57219054196594.0254864449817273.84232301305242.35219054196592
3175.922574.61421341097922.838852022964574.3919345660563-1.30828658902077
3264.462554.040125772991-0.46792367124617775.3527978982552-10.422374227009
3369.5665.8703751133508-3.0640363438049976.3136612304542-3.68962488664918
3468.0863.8811575691808-5.3640335910838277.642876021903-4.19884243081918
3563.6455.6122499809515-7.3043407943032678.9720908133518-8.02775001904853
367473.5811026750945-6.6708394497275381.089736774633-0.418897324905501
3780.54877.22255001691860.66606724716709983.2073827359143-3.32544998308136
3896.038104.3331909038221.6291043954826486.1137047006958.29519090382232
3989.84286.21028603873314.4536872957910489.0200266654758-3.63171396126687
40103.783110.7179871645294.6255101463548192.2225026891166.93498716452922
4191.0432582.02905541989224.6324658673517195.4249787127561-9.01419458010784
4297.4322592.07158008817944.0254864449817298.7674334668389-5.36066991182059
43115.002125.0552597561142.8388520229645102.10988822092210.0532597561139
44103.82125102.825597875644-0.467923671246177105.284825795602-0.995652124355914
45101.3057597.2157729735224-3.06403634380499108.459763370283-4.08997702647758
46104.62725103.260732244543-5.36403359108382111.357801346541-1.36651775545675
47106.288105.624501471505-7.30434079430326114.255839322799-0.663498528495296
48116.2525122.278104261933-6.67083944972753116.8977351877956.02560426193268
49130.72141.2343017000420.666067247167099119.53963105279110.5143017000418
50123.84123.7234468713331.62910439548264122.327448733184-0.116553128666936
51129128.4310462906314.45368729579104125.115266413578-0.568953709368543
52120.4108.3249230897534.62551014635481127.849566763892-12.0750769102465
53139.593143.9696670184424.63246586735171130.5838671142064.3766670184423
54132.246127.2082882947824.02548644498172133.258225260236-5.03771170521807
55137.75625136.7410645707692.8388520229645135.932583406267-1.01518542923125
56143.2665148.414093783296-0.467923671246177138.586829887955.14759378329637

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 53.361 & 51.676216988341 & 0.666067247167099 & 54.3797157644919 & -1.68478301165901 \tabularnewline
2 & 56.628 & 54.1262569146579 & 1.62910439548264 & 57.5006386898595 & -2.50174308534212 \tabularnewline
3 & 62.073 & 59.0707510889819 & 4.45368729579104 & 60.6215616152271 & -3.0022489110181 \tabularnewline
4 & 62.073 & 55.9608889754292 & 4.62551014635481 & 63.559600878216 & -6.11211102457082 \tabularnewline
5 & 71.1295 & 71.1288939914433 & 4.63246586735171 & 66.497640141205 & -0.000606008556673032 \tabularnewline
6 & 76.86575 & 80.4583072044656 & 4.02548644498172 & 69.2477063505526 & 3.59255720446563 \tabularnewline
7 & 79.16025 & 83.4838754171352 & 2.8388520229645 & 71.9977725599003 & 4.32362541713518 \tabularnewline
8 & 81.45475 & 88.727516692737 & -0.467923671246177 & 74.6499069785092 & 7.27276669273699 \tabularnewline
9 & 78.969 & 83.6999949466869 & -3.06403634380499 & 77.3020413971181 & 4.73099494668693 \tabularnewline
10 & 83.755 & 93.7025326793023 & -5.36403359108382 & 79.1715009117815 & 9.94753267930226 \tabularnewline
11 & 82.5585 & 91.3803803678582 & -7.30434079430326 & 81.040960426445 & 8.82188036785823 \tabularnewline
12 & 76.576 & 78.7324544371725 & -6.67083944972753 & 81.090385012555 & 2.15645443717254 \tabularnewline
13 & 81.609 & 81.412123154168 & 0.666067247167099 & 81.1398095986649 & -0.196876845832037 \tabularnewline
14 & 79.136 & 76.5470923737143 & 1.62910439548264 & 80.0958032308031 & -2.5889076262857 \tabularnewline
15 & 86.555 & 89.6045158412678 & 4.45368729579104 & 79.0517968629412 & 3.04951584126778 \tabularnewline
16 & 90.2645 & 98.2593684739388 & 4.62551014635481 & 77.6441213797064 & 7.99486847393878 \tabularnewline
17 & 78.315 & 75.7610882361767 & 4.63246586735171 & 76.2364458964716 & -2.55391176382332 \tabularnewline
18 & 82.23075 & 85.4744477068048 & 4.02548644498172 & 74.9615658482135 & 3.24369770680478 \tabularnewline
19 & 62.652 & 48.7784621770801 & 2.8388520229645 & 73.6866857999554 & -13.8735378229199 \tabularnewline
20 & 69.17825 & 65.9587124494377 & -0.467923671246177 & 72.8657112218085 & -3.21953755056234 \tabularnewline
21 & 72.252 & 75.5232997001433 & -3.06403634380499 & 72.0447366436617 & 3.27129970014335 \tabularnewline
22 & 62.886 & 59.2727177666734 & -5.36403359108382 & 71.8633158244104 & -3.61328223332656 \tabularnewline
23 & 65.562 & 66.7464457891441 & -7.30434079430326 & 71.6818950051591 & 1.18444578914415 \tabularnewline
24 & 58.872 & 52.3999942735238 & -6.67083944972753 & 72.0148451762037 & -6.47200572647617 \tabularnewline
25 & 70.21425 & 67.4146374055846 & 0.666067247167099 & 72.3477953472483 & -2.79961259441536 \tabularnewline
26 & 72.96775 & 71.6750964139169 & 1.62910439548264 & 72.6312991906004 & -1.29265358608309 \tabularnewline
27 & 82.605 & 87.8415096702563 & 4.45368729579104 & 72.9148030339526 & 5.23650967025634 \tabularnewline
28 & 81.22825 & 84.7272326066447 & 4.62551014635481 & 73.1037572470005 & 3.49898260664466 \tabularnewline
29 & 84.5175 & 91.1098226725998 & 4.63246586735171 & 73.2927114600484 & 6.59232267259985 \tabularnewline
30 & 80.22 & 82.5721905419659 & 4.02548644498172 & 73.8423230130524 & 2.35219054196592 \tabularnewline
31 & 75.9225 & 74.6142134109792 & 2.8388520229645 & 74.3919345660563 & -1.30828658902077 \tabularnewline
32 & 64.4625 & 54.040125772991 & -0.467923671246177 & 75.3527978982552 & -10.422374227009 \tabularnewline
33 & 69.56 & 65.8703751133508 & -3.06403634380499 & 76.3136612304542 & -3.68962488664918 \tabularnewline
34 & 68.08 & 63.8811575691808 & -5.36403359108382 & 77.642876021903 & -4.19884243081918 \tabularnewline
35 & 63.64 & 55.6122499809515 & -7.30434079430326 & 78.9720908133518 & -8.02775001904853 \tabularnewline
36 & 74 & 73.5811026750945 & -6.67083944972753 & 81.089736774633 & -0.418897324905501 \tabularnewline
37 & 80.548 & 77.2225500169186 & 0.666067247167099 & 83.2073827359143 & -3.32544998308136 \tabularnewline
38 & 96.038 & 104.333190903822 & 1.62910439548264 & 86.113704700695 & 8.29519090382232 \tabularnewline
39 & 89.842 & 86.2102860387331 & 4.45368729579104 & 89.0200266654758 & -3.63171396126687 \tabularnewline
40 & 103.783 & 110.717987164529 & 4.62551014635481 & 92.222502689116 & 6.93498716452922 \tabularnewline
41 & 91.04325 & 82.0290554198922 & 4.63246586735171 & 95.4249787127561 & -9.01419458010784 \tabularnewline
42 & 97.43225 & 92.0715800881794 & 4.02548644498172 & 98.7674334668389 & -5.36066991182059 \tabularnewline
43 & 115.002 & 125.055259756114 & 2.8388520229645 & 102.109888220922 & 10.0532597561139 \tabularnewline
44 & 103.82125 & 102.825597875644 & -0.467923671246177 & 105.284825795602 & -0.995652124355914 \tabularnewline
45 & 101.30575 & 97.2157729735224 & -3.06403634380499 & 108.459763370283 & -4.08997702647758 \tabularnewline
46 & 104.62725 & 103.260732244543 & -5.36403359108382 & 111.357801346541 & -1.36651775545675 \tabularnewline
47 & 106.288 & 105.624501471505 & -7.30434079430326 & 114.255839322799 & -0.663498528495296 \tabularnewline
48 & 116.2525 & 122.278104261933 & -6.67083944972753 & 116.897735187795 & 6.02560426193268 \tabularnewline
49 & 130.72 & 141.234301700042 & 0.666067247167099 & 119.539631052791 & 10.5143017000418 \tabularnewline
50 & 123.84 & 123.723446871333 & 1.62910439548264 & 122.327448733184 & -0.116553128666936 \tabularnewline
51 & 129 & 128.431046290631 & 4.45368729579104 & 125.115266413578 & -0.568953709368543 \tabularnewline
52 & 120.4 & 108.324923089753 & 4.62551014635481 & 127.849566763892 & -12.0750769102465 \tabularnewline
53 & 139.593 & 143.969667018442 & 4.63246586735171 & 130.583867114206 & 4.3766670184423 \tabularnewline
54 & 132.246 & 127.208288294782 & 4.02548644498172 & 133.258225260236 & -5.03771170521807 \tabularnewline
55 & 137.75625 & 136.741064570769 & 2.8388520229645 & 135.932583406267 & -1.01518542923125 \tabularnewline
56 & 143.2665 & 148.414093783296 & -0.467923671246177 & 138.58682988795 & 5.14759378329637 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285831&T=2

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Time Series Components[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Seasonal[/C][C]Trend[/C][C]Remainder[/C][/ROW]
[ROW][C]1[/C][C]53.361[/C][C]51.676216988341[/C][C]0.666067247167099[/C][C]54.3797157644919[/C][C]-1.68478301165901[/C][/ROW]
[ROW][C]2[/C][C]56.628[/C][C]54.1262569146579[/C][C]1.62910439548264[/C][C]57.5006386898595[/C][C]-2.50174308534212[/C][/ROW]
[ROW][C]3[/C][C]62.073[/C][C]59.0707510889819[/C][C]4.45368729579104[/C][C]60.6215616152271[/C][C]-3.0022489110181[/C][/ROW]
[ROW][C]4[/C][C]62.073[/C][C]55.9608889754292[/C][C]4.62551014635481[/C][C]63.559600878216[/C][C]-6.11211102457082[/C][/ROW]
[ROW][C]5[/C][C]71.1295[/C][C]71.1288939914433[/C][C]4.63246586735171[/C][C]66.497640141205[/C][C]-0.000606008556673032[/C][/ROW]
[ROW][C]6[/C][C]76.86575[/C][C]80.4583072044656[/C][C]4.02548644498172[/C][C]69.2477063505526[/C][C]3.59255720446563[/C][/ROW]
[ROW][C]7[/C][C]79.16025[/C][C]83.4838754171352[/C][C]2.8388520229645[/C][C]71.9977725599003[/C][C]4.32362541713518[/C][/ROW]
[ROW][C]8[/C][C]81.45475[/C][C]88.727516692737[/C][C]-0.467923671246177[/C][C]74.6499069785092[/C][C]7.27276669273699[/C][/ROW]
[ROW][C]9[/C][C]78.969[/C][C]83.6999949466869[/C][C]-3.06403634380499[/C][C]77.3020413971181[/C][C]4.73099494668693[/C][/ROW]
[ROW][C]10[/C][C]83.755[/C][C]93.7025326793023[/C][C]-5.36403359108382[/C][C]79.1715009117815[/C][C]9.94753267930226[/C][/ROW]
[ROW][C]11[/C][C]82.5585[/C][C]91.3803803678582[/C][C]-7.30434079430326[/C][C]81.040960426445[/C][C]8.82188036785823[/C][/ROW]
[ROW][C]12[/C][C]76.576[/C][C]78.7324544371725[/C][C]-6.67083944972753[/C][C]81.090385012555[/C][C]2.15645443717254[/C][/ROW]
[ROW][C]13[/C][C]81.609[/C][C]81.412123154168[/C][C]0.666067247167099[/C][C]81.1398095986649[/C][C]-0.196876845832037[/C][/ROW]
[ROW][C]14[/C][C]79.136[/C][C]76.5470923737143[/C][C]1.62910439548264[/C][C]80.0958032308031[/C][C]-2.5889076262857[/C][/ROW]
[ROW][C]15[/C][C]86.555[/C][C]89.6045158412678[/C][C]4.45368729579104[/C][C]79.0517968629412[/C][C]3.04951584126778[/C][/ROW]
[ROW][C]16[/C][C]90.2645[/C][C]98.2593684739388[/C][C]4.62551014635481[/C][C]77.6441213797064[/C][C]7.99486847393878[/C][/ROW]
[ROW][C]17[/C][C]78.315[/C][C]75.7610882361767[/C][C]4.63246586735171[/C][C]76.2364458964716[/C][C]-2.55391176382332[/C][/ROW]
[ROW][C]18[/C][C]82.23075[/C][C]85.4744477068048[/C][C]4.02548644498172[/C][C]74.9615658482135[/C][C]3.24369770680478[/C][/ROW]
[ROW][C]19[/C][C]62.652[/C][C]48.7784621770801[/C][C]2.8388520229645[/C][C]73.6866857999554[/C][C]-13.8735378229199[/C][/ROW]
[ROW][C]20[/C][C]69.17825[/C][C]65.9587124494377[/C][C]-0.467923671246177[/C][C]72.8657112218085[/C][C]-3.21953755056234[/C][/ROW]
[ROW][C]21[/C][C]72.252[/C][C]75.5232997001433[/C][C]-3.06403634380499[/C][C]72.0447366436617[/C][C]3.27129970014335[/C][/ROW]
[ROW][C]22[/C][C]62.886[/C][C]59.2727177666734[/C][C]-5.36403359108382[/C][C]71.8633158244104[/C][C]-3.61328223332656[/C][/ROW]
[ROW][C]23[/C][C]65.562[/C][C]66.7464457891441[/C][C]-7.30434079430326[/C][C]71.6818950051591[/C][C]1.18444578914415[/C][/ROW]
[ROW][C]24[/C][C]58.872[/C][C]52.3999942735238[/C][C]-6.67083944972753[/C][C]72.0148451762037[/C][C]-6.47200572647617[/C][/ROW]
[ROW][C]25[/C][C]70.21425[/C][C]67.4146374055846[/C][C]0.666067247167099[/C][C]72.3477953472483[/C][C]-2.79961259441536[/C][/ROW]
[ROW][C]26[/C][C]72.96775[/C][C]71.6750964139169[/C][C]1.62910439548264[/C][C]72.6312991906004[/C][C]-1.29265358608309[/C][/ROW]
[ROW][C]27[/C][C]82.605[/C][C]87.8415096702563[/C][C]4.45368729579104[/C][C]72.9148030339526[/C][C]5.23650967025634[/C][/ROW]
[ROW][C]28[/C][C]81.22825[/C][C]84.7272326066447[/C][C]4.62551014635481[/C][C]73.1037572470005[/C][C]3.49898260664466[/C][/ROW]
[ROW][C]29[/C][C]84.5175[/C][C]91.1098226725998[/C][C]4.63246586735171[/C][C]73.2927114600484[/C][C]6.59232267259985[/C][/ROW]
[ROW][C]30[/C][C]80.22[/C][C]82.5721905419659[/C][C]4.02548644498172[/C][C]73.8423230130524[/C][C]2.35219054196592[/C][/ROW]
[ROW][C]31[/C][C]75.9225[/C][C]74.6142134109792[/C][C]2.8388520229645[/C][C]74.3919345660563[/C][C]-1.30828658902077[/C][/ROW]
[ROW][C]32[/C][C]64.4625[/C][C]54.040125772991[/C][C]-0.467923671246177[/C][C]75.3527978982552[/C][C]-10.422374227009[/C][/ROW]
[ROW][C]33[/C][C]69.56[/C][C]65.8703751133508[/C][C]-3.06403634380499[/C][C]76.3136612304542[/C][C]-3.68962488664918[/C][/ROW]
[ROW][C]34[/C][C]68.08[/C][C]63.8811575691808[/C][C]-5.36403359108382[/C][C]77.642876021903[/C][C]-4.19884243081918[/C][/ROW]
[ROW][C]35[/C][C]63.64[/C][C]55.6122499809515[/C][C]-7.30434079430326[/C][C]78.9720908133518[/C][C]-8.02775001904853[/C][/ROW]
[ROW][C]36[/C][C]74[/C][C]73.5811026750945[/C][C]-6.67083944972753[/C][C]81.089736774633[/C][C]-0.418897324905501[/C][/ROW]
[ROW][C]37[/C][C]80.548[/C][C]77.2225500169186[/C][C]0.666067247167099[/C][C]83.2073827359143[/C][C]-3.32544998308136[/C][/ROW]
[ROW][C]38[/C][C]96.038[/C][C]104.333190903822[/C][C]1.62910439548264[/C][C]86.113704700695[/C][C]8.29519090382232[/C][/ROW]
[ROW][C]39[/C][C]89.842[/C][C]86.2102860387331[/C][C]4.45368729579104[/C][C]89.0200266654758[/C][C]-3.63171396126687[/C][/ROW]
[ROW][C]40[/C][C]103.783[/C][C]110.717987164529[/C][C]4.62551014635481[/C][C]92.222502689116[/C][C]6.93498716452922[/C][/ROW]
[ROW][C]41[/C][C]91.04325[/C][C]82.0290554198922[/C][C]4.63246586735171[/C][C]95.4249787127561[/C][C]-9.01419458010784[/C][/ROW]
[ROW][C]42[/C][C]97.43225[/C][C]92.0715800881794[/C][C]4.02548644498172[/C][C]98.7674334668389[/C][C]-5.36066991182059[/C][/ROW]
[ROW][C]43[/C][C]115.002[/C][C]125.055259756114[/C][C]2.8388520229645[/C][C]102.109888220922[/C][C]10.0532597561139[/C][/ROW]
[ROW][C]44[/C][C]103.82125[/C][C]102.825597875644[/C][C]-0.467923671246177[/C][C]105.284825795602[/C][C]-0.995652124355914[/C][/ROW]
[ROW][C]45[/C][C]101.30575[/C][C]97.2157729735224[/C][C]-3.06403634380499[/C][C]108.459763370283[/C][C]-4.08997702647758[/C][/ROW]
[ROW][C]46[/C][C]104.62725[/C][C]103.260732244543[/C][C]-5.36403359108382[/C][C]111.357801346541[/C][C]-1.36651775545675[/C][/ROW]
[ROW][C]47[/C][C]106.288[/C][C]105.624501471505[/C][C]-7.30434079430326[/C][C]114.255839322799[/C][C]-0.663498528495296[/C][/ROW]
[ROW][C]48[/C][C]116.2525[/C][C]122.278104261933[/C][C]-6.67083944972753[/C][C]116.897735187795[/C][C]6.02560426193268[/C][/ROW]
[ROW][C]49[/C][C]130.72[/C][C]141.234301700042[/C][C]0.666067247167099[/C][C]119.539631052791[/C][C]10.5143017000418[/C][/ROW]
[ROW][C]50[/C][C]123.84[/C][C]123.723446871333[/C][C]1.62910439548264[/C][C]122.327448733184[/C][C]-0.116553128666936[/C][/ROW]
[ROW][C]51[/C][C]129[/C][C]128.431046290631[/C][C]4.45368729579104[/C][C]125.115266413578[/C][C]-0.568953709368543[/C][/ROW]
[ROW][C]52[/C][C]120.4[/C][C]108.324923089753[/C][C]4.62551014635481[/C][C]127.849566763892[/C][C]-12.0750769102465[/C][/ROW]
[ROW][C]53[/C][C]139.593[/C][C]143.969667018442[/C][C]4.63246586735171[/C][C]130.583867114206[/C][C]4.3766670184423[/C][/ROW]
[ROW][C]54[/C][C]132.246[/C][C]127.208288294782[/C][C]4.02548644498172[/C][C]133.258225260236[/C][C]-5.03771170521807[/C][/ROW]
[ROW][C]55[/C][C]137.75625[/C][C]136.741064570769[/C][C]2.8388520229645[/C][C]135.932583406267[/C][C]-1.01518542923125[/C][/ROW]
[ROW][C]56[/C][C]143.2665[/C][C]148.414093783296[/C][C]-0.467923671246177[/C][C]138.58682988795[/C][C]5.14759378329637[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285831&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285831&T=2

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
153.36151.6762169883410.66606724716709954.3797157644919-1.68478301165901
256.62854.12625691465791.6291043954826457.5006386898595-2.50174308534212
362.07359.07075108898194.4536872957910460.6215616152271-3.0022489110181
462.07355.96088897542924.6255101463548163.559600878216-6.11211102457082
571.129571.12889399144334.6324658673517166.497640141205-0.000606008556673032
676.8657580.45830720446564.0254864449817269.24770635055263.59255720446563
779.1602583.48387541713522.838852022964571.99777255990034.32362541713518
881.4547588.727516692737-0.46792367124617774.64990697850927.27276669273699
978.96983.6999949466869-3.0640363438049977.30204139711814.73099494668693
1083.75593.7025326793023-5.3640335910838279.17150091178159.94753267930226
1182.558591.3803803678582-7.3043407943032681.0409604264458.82188036785823
1276.57678.7324544371725-6.6708394497275381.0903850125552.15645443717254
1381.60981.4121231541680.66606724716709981.1398095986649-0.196876845832037
1479.13676.54709237371431.6291043954826480.0958032308031-2.5889076262857
1586.55589.60451584126784.4536872957910479.05179686294123.04951584126778
1690.264598.25936847393884.6255101463548177.64412137970647.99486847393878
1778.31575.76108823617674.6324658673517176.2364458964716-2.55391176382332
1882.2307585.47444770680484.0254864449817274.96156584821353.24369770680478
1962.65248.77846217708012.838852022964573.6866857999554-13.8735378229199
2069.1782565.9587124494377-0.46792367124617772.8657112218085-3.21953755056234
2172.25275.5232997001433-3.0640363438049972.04473664366173.27129970014335
2262.88659.2727177666734-5.3640335910838271.8633158244104-3.61328223332656
2365.56266.7464457891441-7.3043407943032671.68189500515911.18444578914415
2458.87252.3999942735238-6.6708394497275372.0148451762037-6.47200572647617
2570.2142567.41463740558460.66606724716709972.3477953472483-2.79961259441536
2672.9677571.67509641391691.6291043954826472.6312991906004-1.29265358608309
2782.60587.84150967025634.4536872957910472.91480303395265.23650967025634
2881.2282584.72723260664474.6255101463548173.10375724700053.49898260664466
2984.517591.10982267259984.6324658673517173.29271146004846.59232267259985
3080.2282.57219054196594.0254864449817273.84232301305242.35219054196592
3175.922574.61421341097922.838852022964574.3919345660563-1.30828658902077
3264.462554.040125772991-0.46792367124617775.3527978982552-10.422374227009
3369.5665.8703751133508-3.0640363438049976.3136612304542-3.68962488664918
3468.0863.8811575691808-5.3640335910838277.642876021903-4.19884243081918
3563.6455.6122499809515-7.3043407943032678.9720908133518-8.02775001904853
367473.5811026750945-6.6708394497275381.089736774633-0.418897324905501
3780.54877.22255001691860.66606724716709983.2073827359143-3.32544998308136
3896.038104.3331909038221.6291043954826486.1137047006958.29519090382232
3989.84286.21028603873314.4536872957910489.0200266654758-3.63171396126687
40103.783110.7179871645294.6255101463548192.2225026891166.93498716452922
4191.0432582.02905541989224.6324658673517195.4249787127561-9.01419458010784
4297.4322592.07158008817944.0254864449817298.7674334668389-5.36066991182059
43115.002125.0552597561142.8388520229645102.10988822092210.0532597561139
44103.82125102.825597875644-0.467923671246177105.284825795602-0.995652124355914
45101.3057597.2157729735224-3.06403634380499108.459763370283-4.08997702647758
46104.62725103.260732244543-5.36403359108382111.357801346541-1.36651775545675
47106.288105.624501471505-7.30434079430326114.255839322799-0.663498528495296
48116.2525122.278104261933-6.67083944972753116.8977351877956.02560426193268
49130.72141.2343017000420.666067247167099119.53963105279110.5143017000418
50123.84123.7234468713331.62910439548264122.327448733184-0.116553128666936
51129128.4310462906314.45368729579104125.115266413578-0.568953709368543
52120.4108.3249230897534.62551014635481127.849566763892-12.0750769102465
53139.593143.9696670184424.63246586735171130.5838671142064.3766670184423
54132.246127.2082882947824.02548644498172133.258225260236-5.03771170521807
55137.75625136.7410645707692.8388520229645135.932583406267-1.01518542923125
56143.2665148.414093783296-0.467923671246177138.586829887955.14759378329637



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par4 = ; par5 = 1 ; par6 = ; par7 = 1 ; par8 = FALSE ;
R code (references can be found in the software module):
par1 <- as.numeric(par1) #seasonal period
if (par2 != 'periodic') par2 <- as.numeric(par2) #s.window
par3 <- as.numeric(par3) #s.degree
if (par4 == '') par4 <- NULL else par4 <- as.numeric(par4)#t.window
par5 <- as.numeric(par5)#t.degree
if (par6 != '') par6 <- as.numeric(par6)#l.window
par7 <- as.numeric(par7)#l.degree
if (par8 == 'FALSE') par8 <- FALSE else par9 <- TRUE #robust
nx <- length(x)
x <- ts(x,frequency=par1)
if (par6 != '') {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.window=par6, l.degree=par7, robust=par8)
} else {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.degree=par7, robust=par8)
}
m$time.series
m$win
m$deg
m$jump
m$inner
m$outer
bitmap(file='test1.png')
plot(m,main=main)
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$time.series[,'trend']),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$time.series[,'seasonal']),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$time.series[,'remainder']),na.action=na.pass,lag.max = mylagmax,main='Remainder')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Parameters',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Component',header=TRUE)
a<-table.element(a,'Window',header=TRUE)
a<-table.element(a,'Degree',header=TRUE)
a<-table.element(a,'Jump',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,m$win['s'])
a<-table.element(a,m$deg['s'])
a<-table.element(a,m$jump['s'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,m$win['t'])
a<-table.element(a,m$deg['t'])
a<-table.element(a,m$jump['t'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Low-pass',header=TRUE)
a<-table.element(a,m$win['l'])
a<-table.element(a,m$deg['l'])
a<-table.element(a,m$jump['l'])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Time Series Components',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Remainder',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]+m$time.series[i,'remainder'])
a<-table.element(a,m$time.series[i,'seasonal'])
a<-table.element(a,m$time.series[i,'trend'])
a<-table.element(a,m$time.series[i,'remainder'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')