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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationFri, 04 Dec 2009 15:43:34 -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/2009/Dec/04/t1259966663284tfbhcbboglaz.htm/, Retrieved Sun, 28 Apr 2024 06:01:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64197, Retrieved Sun, 28 Apr 2024 06:01:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Decomposition by Loess] [] [2009-11-27 15:00:29] [b98453cac15ba1066b407e146608df68]
-   PD    [Decomposition by Loess] [] [2009-12-04 22:42:06] [f1007ce43061b3abc536bdd12fa215f8]
-             [Decomposition by Loess] [] [2009-12-04 22:43:34] [7cc673c2b3a8ab442a3ec6ca430f2445] [Current]
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Dataseries X:
102.80 
118.72 
119.01 
118.61 
120.43 
111.83 
116.79 
131.71 
120.57 
117.83 
130.80 
107.46 
112.09 
129.47 
119.72 
134.81 
135.80 
129.27 
126.94 
153.45 
121.86 
133.47 
135.34 
117.10 
120.65 
132.49 
137.60 
138.69 
125.53 
133.09 
129.08 
145.94 
129.07 
139.69 
142.09 
137.29 
127.03 
137.25 
156.87 
150.89 
139.14 
158.30 
149.00 
158.36 
168.06 
153.38 
173.86 
162.47 
145.17 
168.89 
166.64 
140.07 
128.84 
123.40 
120.30 
129.66 
118.12 
113.91 
131.09 
119.14 
115.33




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=64197&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=64197&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64197&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







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal611062
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 611 & 0 & 62 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64197&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]611[/C][C]0[/C][C]62[/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=64197&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64197&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
Seasonal611062
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1102.8100.730437281045-9.52924700828724114.398809727242-2.0695627189546
2118.72118.2951253429854.00099912636879115.143875530647-0.424874657015451
3119.01115.6648155842886.46624308166065115.888941334051-3.3451844157121
4118.61117.6500462453122.98816439412893116.581789360560-0.9599537546885
5120.43127.387287294083-3.80192468115108117.2746373870686.9572872940834
6111.83108.502347789227-2.78968603829151117.947338249065-3.32765221077318
7116.79120.723418138360-5.7634572494219118.6200391110623.93341813836021
8131.71134.5290475108839.5757376383294119.3152148507872.81904751088346
9120.57123.904680777724-2.77507136823657120.0103905905133.33468077772400
10117.83117.307752114046-2.42828871218015120.780536598134-0.522247885953689
11130.8131.2708315649828.77848582926247121.5506826057550.470831564982433
12107.4696.9806842126412-4.72195435127229122.661270138631-10.4793157873588
13112.09109.937389336780-9.52924700828724123.771857671507-2.15261066321986
14129.47129.9136798431434.00099912636879125.0253210304880.4436798431433
15119.72106.6949725288716.46624308166065126.278784389469-13.0250274711293
16134.81139.2508739636922.98816439412893127.3809616421794.44087396369208
17135.8146.918785786262-3.80192468115108128.48313889488911.1187857862618
18129.27132.034985151205-2.78968603829151129.2947008870872.76498515120474
19126.94129.537194370138-5.7634572494219130.1062628792842.59719437013757
20153.45166.7791465649359.5757376383294130.54511579673613.3291465649346
21121.86115.511102654049-2.77507136823657130.983968714188-6.34889734595103
22133.47138.320182287418-2.42828871218015131.0481064247624.85018228741802
23135.34130.7892700354018.77848582926247131.112244135337-4.55072996459914
24117.1107.909904312669-4.72195435127229131.012050038604-9.19009568733132
25120.65119.917391066417-9.52924700828724130.911855941871-0.732608933583293
26132.49129.8694991863164.00099912636879131.109501687315-2.62050081368412
27137.6137.4266094855796.46624308166065131.307147432760-0.173390514420845
28138.69142.4225476065042.98816439412893131.9692879993673.73254760650428
29125.53122.230496115178-3.80192468115108132.631428565973-3.29950388482229
30133.09135.469631542479-2.78968603829151133.5000544958132.37963154247890
31129.08129.55477682377-5.7634572494219134.3686804256520.47477682377010
32145.94147.0490714830039.5757376383294135.2551908786681.10907148300268
33129.07124.773370036553-2.77507136823657136.141701331684-4.29662996344746
34139.69144.552552365300-2.42828871218015137.2557363468814.86255236529951
35142.09137.0317428086608.77848582926247138.369771362077-5.05825719133972
36137.29139.400611369349-4.72195435127229139.9013429819232.11061136934947
37127.03122.156332406519-9.52924700828724141.432914601768-4.87366759348117
38137.25127.1774898410234.00099912636879143.321511032608-10.0725101589772
39156.87162.0636494548916.46624308166065145.2101074634485.19364945489087
40150.89151.3935889697972.98816439412893147.3982466360740.503588969796908
41139.14132.495538872451-3.80192468115108149.586385808700-6.64446112754871
42158.3167.625751152026-2.78968603829151151.7639348862669.32575115202576
43149149.821973285590-5.7634572494219153.9414839638320.82197328559019
44158.36151.6297542224439.5757376383294155.514508139227-6.73024577755672
45168.06181.807539053614-2.77507136823657157.08753231462313.7475390536136
46153.38152.177205729211-2.42828871218015157.011082982969-1.20279427078859
47173.86182.0068805194238.77848582926247156.9346336513158.146880519423
48162.47174.624368500286-4.72195435127229155.03758585098712.1543685002856
49145.17146.728708957628-9.52924700828724153.1405380506591.55870895762843
50168.89183.8946452585334.00099912636879149.88435561509815.0046452585334
51166.64180.1855837388036.46624308166065146.62817317953713.5455837388025
52140.07134.2671641075562.98816439412893142.884671498315-5.80283589244411
53128.84122.340754864058-3.80192468115108139.141169817093-6.4992451359424
54123.4113.750694660752-2.78968603829151135.838991377540-9.64930533924806
55120.3113.826644311436-5.7634572494219132.536812937986-6.47335568856379
56129.66120.5180865770579.5757376383294129.226175784614-9.14191342294332
57118.12113.099532736994-2.77507136823657125.915538631242-5.02046726300554
58113.91107.562077028893-2.42828871218015122.686211683287-6.34792297110727
59131.09133.9446294354058.77848582926247119.4568847353332.85462943540483
60119.14126.579900657496-4.72195435127229116.4220536937767.43990065749605
61115.33126.802024356067-9.52924700828724113.38722265222011.4720243560675

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 102.8 & 100.730437281045 & -9.52924700828724 & 114.398809727242 & -2.0695627189546 \tabularnewline
2 & 118.72 & 118.295125342985 & 4.00099912636879 & 115.143875530647 & -0.424874657015451 \tabularnewline
3 & 119.01 & 115.664815584288 & 6.46624308166065 & 115.888941334051 & -3.3451844157121 \tabularnewline
4 & 118.61 & 117.650046245312 & 2.98816439412893 & 116.581789360560 & -0.9599537546885 \tabularnewline
5 & 120.43 & 127.387287294083 & -3.80192468115108 & 117.274637387068 & 6.9572872940834 \tabularnewline
6 & 111.83 & 108.502347789227 & -2.78968603829151 & 117.947338249065 & -3.32765221077318 \tabularnewline
7 & 116.79 & 120.723418138360 & -5.7634572494219 & 118.620039111062 & 3.93341813836021 \tabularnewline
8 & 131.71 & 134.529047510883 & 9.5757376383294 & 119.315214850787 & 2.81904751088346 \tabularnewline
9 & 120.57 & 123.904680777724 & -2.77507136823657 & 120.010390590513 & 3.33468077772400 \tabularnewline
10 & 117.83 & 117.307752114046 & -2.42828871218015 & 120.780536598134 & -0.522247885953689 \tabularnewline
11 & 130.8 & 131.270831564982 & 8.77848582926247 & 121.550682605755 & 0.470831564982433 \tabularnewline
12 & 107.46 & 96.9806842126412 & -4.72195435127229 & 122.661270138631 & -10.4793157873588 \tabularnewline
13 & 112.09 & 109.937389336780 & -9.52924700828724 & 123.771857671507 & -2.15261066321986 \tabularnewline
14 & 129.47 & 129.913679843143 & 4.00099912636879 & 125.025321030488 & 0.4436798431433 \tabularnewline
15 & 119.72 & 106.694972528871 & 6.46624308166065 & 126.278784389469 & -13.0250274711293 \tabularnewline
16 & 134.81 & 139.250873963692 & 2.98816439412893 & 127.380961642179 & 4.44087396369208 \tabularnewline
17 & 135.8 & 146.918785786262 & -3.80192468115108 & 128.483138894889 & 11.1187857862618 \tabularnewline
18 & 129.27 & 132.034985151205 & -2.78968603829151 & 129.294700887087 & 2.76498515120474 \tabularnewline
19 & 126.94 & 129.537194370138 & -5.7634572494219 & 130.106262879284 & 2.59719437013757 \tabularnewline
20 & 153.45 & 166.779146564935 & 9.5757376383294 & 130.545115796736 & 13.3291465649346 \tabularnewline
21 & 121.86 & 115.511102654049 & -2.77507136823657 & 130.983968714188 & -6.34889734595103 \tabularnewline
22 & 133.47 & 138.320182287418 & -2.42828871218015 & 131.048106424762 & 4.85018228741802 \tabularnewline
23 & 135.34 & 130.789270035401 & 8.77848582926247 & 131.112244135337 & -4.55072996459914 \tabularnewline
24 & 117.1 & 107.909904312669 & -4.72195435127229 & 131.012050038604 & -9.19009568733132 \tabularnewline
25 & 120.65 & 119.917391066417 & -9.52924700828724 & 130.911855941871 & -0.732608933583293 \tabularnewline
26 & 132.49 & 129.869499186316 & 4.00099912636879 & 131.109501687315 & -2.62050081368412 \tabularnewline
27 & 137.6 & 137.426609485579 & 6.46624308166065 & 131.307147432760 & -0.173390514420845 \tabularnewline
28 & 138.69 & 142.422547606504 & 2.98816439412893 & 131.969287999367 & 3.73254760650428 \tabularnewline
29 & 125.53 & 122.230496115178 & -3.80192468115108 & 132.631428565973 & -3.29950388482229 \tabularnewline
30 & 133.09 & 135.469631542479 & -2.78968603829151 & 133.500054495813 & 2.37963154247890 \tabularnewline
31 & 129.08 & 129.55477682377 & -5.7634572494219 & 134.368680425652 & 0.47477682377010 \tabularnewline
32 & 145.94 & 147.049071483003 & 9.5757376383294 & 135.255190878668 & 1.10907148300268 \tabularnewline
33 & 129.07 & 124.773370036553 & -2.77507136823657 & 136.141701331684 & -4.29662996344746 \tabularnewline
34 & 139.69 & 144.552552365300 & -2.42828871218015 & 137.255736346881 & 4.86255236529951 \tabularnewline
35 & 142.09 & 137.031742808660 & 8.77848582926247 & 138.369771362077 & -5.05825719133972 \tabularnewline
36 & 137.29 & 139.400611369349 & -4.72195435127229 & 139.901342981923 & 2.11061136934947 \tabularnewline
37 & 127.03 & 122.156332406519 & -9.52924700828724 & 141.432914601768 & -4.87366759348117 \tabularnewline
38 & 137.25 & 127.177489841023 & 4.00099912636879 & 143.321511032608 & -10.0725101589772 \tabularnewline
39 & 156.87 & 162.063649454891 & 6.46624308166065 & 145.210107463448 & 5.19364945489087 \tabularnewline
40 & 150.89 & 151.393588969797 & 2.98816439412893 & 147.398246636074 & 0.503588969796908 \tabularnewline
41 & 139.14 & 132.495538872451 & -3.80192468115108 & 149.586385808700 & -6.64446112754871 \tabularnewline
42 & 158.3 & 167.625751152026 & -2.78968603829151 & 151.763934886266 & 9.32575115202576 \tabularnewline
43 & 149 & 149.821973285590 & -5.7634572494219 & 153.941483963832 & 0.82197328559019 \tabularnewline
44 & 158.36 & 151.629754222443 & 9.5757376383294 & 155.514508139227 & -6.73024577755672 \tabularnewline
45 & 168.06 & 181.807539053614 & -2.77507136823657 & 157.087532314623 & 13.7475390536136 \tabularnewline
46 & 153.38 & 152.177205729211 & -2.42828871218015 & 157.011082982969 & -1.20279427078859 \tabularnewline
47 & 173.86 & 182.006880519423 & 8.77848582926247 & 156.934633651315 & 8.146880519423 \tabularnewline
48 & 162.47 & 174.624368500286 & -4.72195435127229 & 155.037585850987 & 12.1543685002856 \tabularnewline
49 & 145.17 & 146.728708957628 & -9.52924700828724 & 153.140538050659 & 1.55870895762843 \tabularnewline
50 & 168.89 & 183.894645258533 & 4.00099912636879 & 149.884355615098 & 15.0046452585334 \tabularnewline
51 & 166.64 & 180.185583738803 & 6.46624308166065 & 146.628173179537 & 13.5455837388025 \tabularnewline
52 & 140.07 & 134.267164107556 & 2.98816439412893 & 142.884671498315 & -5.80283589244411 \tabularnewline
53 & 128.84 & 122.340754864058 & -3.80192468115108 & 139.141169817093 & -6.4992451359424 \tabularnewline
54 & 123.4 & 113.750694660752 & -2.78968603829151 & 135.838991377540 & -9.64930533924806 \tabularnewline
55 & 120.3 & 113.826644311436 & -5.7634572494219 & 132.536812937986 & -6.47335568856379 \tabularnewline
56 & 129.66 & 120.518086577057 & 9.5757376383294 & 129.226175784614 & -9.14191342294332 \tabularnewline
57 & 118.12 & 113.099532736994 & -2.77507136823657 & 125.915538631242 & -5.02046726300554 \tabularnewline
58 & 113.91 & 107.562077028893 & -2.42828871218015 & 122.686211683287 & -6.34792297110727 \tabularnewline
59 & 131.09 & 133.944629435405 & 8.77848582926247 & 119.456884735333 & 2.85462943540483 \tabularnewline
60 & 119.14 & 126.579900657496 & -4.72195435127229 & 116.422053693776 & 7.43990065749605 \tabularnewline
61 & 115.33 & 126.802024356067 & -9.52924700828724 & 113.387222652220 & 11.4720243560675 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64197&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]102.8[/C][C]100.730437281045[/C][C]-9.52924700828724[/C][C]114.398809727242[/C][C]-2.0695627189546[/C][/ROW]
[ROW][C]2[/C][C]118.72[/C][C]118.295125342985[/C][C]4.00099912636879[/C][C]115.143875530647[/C][C]-0.424874657015451[/C][/ROW]
[ROW][C]3[/C][C]119.01[/C][C]115.664815584288[/C][C]6.46624308166065[/C][C]115.888941334051[/C][C]-3.3451844157121[/C][/ROW]
[ROW][C]4[/C][C]118.61[/C][C]117.650046245312[/C][C]2.98816439412893[/C][C]116.581789360560[/C][C]-0.9599537546885[/C][/ROW]
[ROW][C]5[/C][C]120.43[/C][C]127.387287294083[/C][C]-3.80192468115108[/C][C]117.274637387068[/C][C]6.9572872940834[/C][/ROW]
[ROW][C]6[/C][C]111.83[/C][C]108.502347789227[/C][C]-2.78968603829151[/C][C]117.947338249065[/C][C]-3.32765221077318[/C][/ROW]
[ROW][C]7[/C][C]116.79[/C][C]120.723418138360[/C][C]-5.7634572494219[/C][C]118.620039111062[/C][C]3.93341813836021[/C][/ROW]
[ROW][C]8[/C][C]131.71[/C][C]134.529047510883[/C][C]9.5757376383294[/C][C]119.315214850787[/C][C]2.81904751088346[/C][/ROW]
[ROW][C]9[/C][C]120.57[/C][C]123.904680777724[/C][C]-2.77507136823657[/C][C]120.010390590513[/C][C]3.33468077772400[/C][/ROW]
[ROW][C]10[/C][C]117.83[/C][C]117.307752114046[/C][C]-2.42828871218015[/C][C]120.780536598134[/C][C]-0.522247885953689[/C][/ROW]
[ROW][C]11[/C][C]130.8[/C][C]131.270831564982[/C][C]8.77848582926247[/C][C]121.550682605755[/C][C]0.470831564982433[/C][/ROW]
[ROW][C]12[/C][C]107.46[/C][C]96.9806842126412[/C][C]-4.72195435127229[/C][C]122.661270138631[/C][C]-10.4793157873588[/C][/ROW]
[ROW][C]13[/C][C]112.09[/C][C]109.937389336780[/C][C]-9.52924700828724[/C][C]123.771857671507[/C][C]-2.15261066321986[/C][/ROW]
[ROW][C]14[/C][C]129.47[/C][C]129.913679843143[/C][C]4.00099912636879[/C][C]125.025321030488[/C][C]0.4436798431433[/C][/ROW]
[ROW][C]15[/C][C]119.72[/C][C]106.694972528871[/C][C]6.46624308166065[/C][C]126.278784389469[/C][C]-13.0250274711293[/C][/ROW]
[ROW][C]16[/C][C]134.81[/C][C]139.250873963692[/C][C]2.98816439412893[/C][C]127.380961642179[/C][C]4.44087396369208[/C][/ROW]
[ROW][C]17[/C][C]135.8[/C][C]146.918785786262[/C][C]-3.80192468115108[/C][C]128.483138894889[/C][C]11.1187857862618[/C][/ROW]
[ROW][C]18[/C][C]129.27[/C][C]132.034985151205[/C][C]-2.78968603829151[/C][C]129.294700887087[/C][C]2.76498515120474[/C][/ROW]
[ROW][C]19[/C][C]126.94[/C][C]129.537194370138[/C][C]-5.7634572494219[/C][C]130.106262879284[/C][C]2.59719437013757[/C][/ROW]
[ROW][C]20[/C][C]153.45[/C][C]166.779146564935[/C][C]9.5757376383294[/C][C]130.545115796736[/C][C]13.3291465649346[/C][/ROW]
[ROW][C]21[/C][C]121.86[/C][C]115.511102654049[/C][C]-2.77507136823657[/C][C]130.983968714188[/C][C]-6.34889734595103[/C][/ROW]
[ROW][C]22[/C][C]133.47[/C][C]138.320182287418[/C][C]-2.42828871218015[/C][C]131.048106424762[/C][C]4.85018228741802[/C][/ROW]
[ROW][C]23[/C][C]135.34[/C][C]130.789270035401[/C][C]8.77848582926247[/C][C]131.112244135337[/C][C]-4.55072996459914[/C][/ROW]
[ROW][C]24[/C][C]117.1[/C][C]107.909904312669[/C][C]-4.72195435127229[/C][C]131.012050038604[/C][C]-9.19009568733132[/C][/ROW]
[ROW][C]25[/C][C]120.65[/C][C]119.917391066417[/C][C]-9.52924700828724[/C][C]130.911855941871[/C][C]-0.732608933583293[/C][/ROW]
[ROW][C]26[/C][C]132.49[/C][C]129.869499186316[/C][C]4.00099912636879[/C][C]131.109501687315[/C][C]-2.62050081368412[/C][/ROW]
[ROW][C]27[/C][C]137.6[/C][C]137.426609485579[/C][C]6.46624308166065[/C][C]131.307147432760[/C][C]-0.173390514420845[/C][/ROW]
[ROW][C]28[/C][C]138.69[/C][C]142.422547606504[/C][C]2.98816439412893[/C][C]131.969287999367[/C][C]3.73254760650428[/C][/ROW]
[ROW][C]29[/C][C]125.53[/C][C]122.230496115178[/C][C]-3.80192468115108[/C][C]132.631428565973[/C][C]-3.29950388482229[/C][/ROW]
[ROW][C]30[/C][C]133.09[/C][C]135.469631542479[/C][C]-2.78968603829151[/C][C]133.500054495813[/C][C]2.37963154247890[/C][/ROW]
[ROW][C]31[/C][C]129.08[/C][C]129.55477682377[/C][C]-5.7634572494219[/C][C]134.368680425652[/C][C]0.47477682377010[/C][/ROW]
[ROW][C]32[/C][C]145.94[/C][C]147.049071483003[/C][C]9.5757376383294[/C][C]135.255190878668[/C][C]1.10907148300268[/C][/ROW]
[ROW][C]33[/C][C]129.07[/C][C]124.773370036553[/C][C]-2.77507136823657[/C][C]136.141701331684[/C][C]-4.29662996344746[/C][/ROW]
[ROW][C]34[/C][C]139.69[/C][C]144.552552365300[/C][C]-2.42828871218015[/C][C]137.255736346881[/C][C]4.86255236529951[/C][/ROW]
[ROW][C]35[/C][C]142.09[/C][C]137.031742808660[/C][C]8.77848582926247[/C][C]138.369771362077[/C][C]-5.05825719133972[/C][/ROW]
[ROW][C]36[/C][C]137.29[/C][C]139.400611369349[/C][C]-4.72195435127229[/C][C]139.901342981923[/C][C]2.11061136934947[/C][/ROW]
[ROW][C]37[/C][C]127.03[/C][C]122.156332406519[/C][C]-9.52924700828724[/C][C]141.432914601768[/C][C]-4.87366759348117[/C][/ROW]
[ROW][C]38[/C][C]137.25[/C][C]127.177489841023[/C][C]4.00099912636879[/C][C]143.321511032608[/C][C]-10.0725101589772[/C][/ROW]
[ROW][C]39[/C][C]156.87[/C][C]162.063649454891[/C][C]6.46624308166065[/C][C]145.210107463448[/C][C]5.19364945489087[/C][/ROW]
[ROW][C]40[/C][C]150.89[/C][C]151.393588969797[/C][C]2.98816439412893[/C][C]147.398246636074[/C][C]0.503588969796908[/C][/ROW]
[ROW][C]41[/C][C]139.14[/C][C]132.495538872451[/C][C]-3.80192468115108[/C][C]149.586385808700[/C][C]-6.64446112754871[/C][/ROW]
[ROW][C]42[/C][C]158.3[/C][C]167.625751152026[/C][C]-2.78968603829151[/C][C]151.763934886266[/C][C]9.32575115202576[/C][/ROW]
[ROW][C]43[/C][C]149[/C][C]149.821973285590[/C][C]-5.7634572494219[/C][C]153.941483963832[/C][C]0.82197328559019[/C][/ROW]
[ROW][C]44[/C][C]158.36[/C][C]151.629754222443[/C][C]9.5757376383294[/C][C]155.514508139227[/C][C]-6.73024577755672[/C][/ROW]
[ROW][C]45[/C][C]168.06[/C][C]181.807539053614[/C][C]-2.77507136823657[/C][C]157.087532314623[/C][C]13.7475390536136[/C][/ROW]
[ROW][C]46[/C][C]153.38[/C][C]152.177205729211[/C][C]-2.42828871218015[/C][C]157.011082982969[/C][C]-1.20279427078859[/C][/ROW]
[ROW][C]47[/C][C]173.86[/C][C]182.006880519423[/C][C]8.77848582926247[/C][C]156.934633651315[/C][C]8.146880519423[/C][/ROW]
[ROW][C]48[/C][C]162.47[/C][C]174.624368500286[/C][C]-4.72195435127229[/C][C]155.037585850987[/C][C]12.1543685002856[/C][/ROW]
[ROW][C]49[/C][C]145.17[/C][C]146.728708957628[/C][C]-9.52924700828724[/C][C]153.140538050659[/C][C]1.55870895762843[/C][/ROW]
[ROW][C]50[/C][C]168.89[/C][C]183.894645258533[/C][C]4.00099912636879[/C][C]149.884355615098[/C][C]15.0046452585334[/C][/ROW]
[ROW][C]51[/C][C]166.64[/C][C]180.185583738803[/C][C]6.46624308166065[/C][C]146.628173179537[/C][C]13.5455837388025[/C][/ROW]
[ROW][C]52[/C][C]140.07[/C][C]134.267164107556[/C][C]2.98816439412893[/C][C]142.884671498315[/C][C]-5.80283589244411[/C][/ROW]
[ROW][C]53[/C][C]128.84[/C][C]122.340754864058[/C][C]-3.80192468115108[/C][C]139.141169817093[/C][C]-6.4992451359424[/C][/ROW]
[ROW][C]54[/C][C]123.4[/C][C]113.750694660752[/C][C]-2.78968603829151[/C][C]135.838991377540[/C][C]-9.64930533924806[/C][/ROW]
[ROW][C]55[/C][C]120.3[/C][C]113.826644311436[/C][C]-5.7634572494219[/C][C]132.536812937986[/C][C]-6.47335568856379[/C][/ROW]
[ROW][C]56[/C][C]129.66[/C][C]120.518086577057[/C][C]9.5757376383294[/C][C]129.226175784614[/C][C]-9.14191342294332[/C][/ROW]
[ROW][C]57[/C][C]118.12[/C][C]113.099532736994[/C][C]-2.77507136823657[/C][C]125.915538631242[/C][C]-5.02046726300554[/C][/ROW]
[ROW][C]58[/C][C]113.91[/C][C]107.562077028893[/C][C]-2.42828871218015[/C][C]122.686211683287[/C][C]-6.34792297110727[/C][/ROW]
[ROW][C]59[/C][C]131.09[/C][C]133.944629435405[/C][C]8.77848582926247[/C][C]119.456884735333[/C][C]2.85462943540483[/C][/ROW]
[ROW][C]60[/C][C]119.14[/C][C]126.579900657496[/C][C]-4.72195435127229[/C][C]116.422053693776[/C][C]7.43990065749605[/C][/ROW]
[ROW][C]61[/C][C]115.33[/C][C]126.802024356067[/C][C]-9.52924700828724[/C][C]113.387222652220[/C][C]11.4720243560675[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64197&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64197&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
1102.8100.730437281045-9.52924700828724114.398809727242-2.0695627189546
2118.72118.2951253429854.00099912636879115.143875530647-0.424874657015451
3119.01115.6648155842886.46624308166065115.888941334051-3.3451844157121
4118.61117.6500462453122.98816439412893116.581789360560-0.9599537546885
5120.43127.387287294083-3.80192468115108117.2746373870686.9572872940834
6111.83108.502347789227-2.78968603829151117.947338249065-3.32765221077318
7116.79120.723418138360-5.7634572494219118.6200391110623.93341813836021
8131.71134.5290475108839.5757376383294119.3152148507872.81904751088346
9120.57123.904680777724-2.77507136823657120.0103905905133.33468077772400
10117.83117.307752114046-2.42828871218015120.780536598134-0.522247885953689
11130.8131.2708315649828.77848582926247121.5506826057550.470831564982433
12107.4696.9806842126412-4.72195435127229122.661270138631-10.4793157873588
13112.09109.937389336780-9.52924700828724123.771857671507-2.15261066321986
14129.47129.9136798431434.00099912636879125.0253210304880.4436798431433
15119.72106.6949725288716.46624308166065126.278784389469-13.0250274711293
16134.81139.2508739636922.98816439412893127.3809616421794.44087396369208
17135.8146.918785786262-3.80192468115108128.48313889488911.1187857862618
18129.27132.034985151205-2.78968603829151129.2947008870872.76498515120474
19126.94129.537194370138-5.7634572494219130.1062628792842.59719437013757
20153.45166.7791465649359.5757376383294130.54511579673613.3291465649346
21121.86115.511102654049-2.77507136823657130.983968714188-6.34889734595103
22133.47138.320182287418-2.42828871218015131.0481064247624.85018228741802
23135.34130.7892700354018.77848582926247131.112244135337-4.55072996459914
24117.1107.909904312669-4.72195435127229131.012050038604-9.19009568733132
25120.65119.917391066417-9.52924700828724130.911855941871-0.732608933583293
26132.49129.8694991863164.00099912636879131.109501687315-2.62050081368412
27137.6137.4266094855796.46624308166065131.307147432760-0.173390514420845
28138.69142.4225476065042.98816439412893131.9692879993673.73254760650428
29125.53122.230496115178-3.80192468115108132.631428565973-3.29950388482229
30133.09135.469631542479-2.78968603829151133.5000544958132.37963154247890
31129.08129.55477682377-5.7634572494219134.3686804256520.47477682377010
32145.94147.0490714830039.5757376383294135.2551908786681.10907148300268
33129.07124.773370036553-2.77507136823657136.141701331684-4.29662996344746
34139.69144.552552365300-2.42828871218015137.2557363468814.86255236529951
35142.09137.0317428086608.77848582926247138.369771362077-5.05825719133972
36137.29139.400611369349-4.72195435127229139.9013429819232.11061136934947
37127.03122.156332406519-9.52924700828724141.432914601768-4.87366759348117
38137.25127.1774898410234.00099912636879143.321511032608-10.0725101589772
39156.87162.0636494548916.46624308166065145.2101074634485.19364945489087
40150.89151.3935889697972.98816439412893147.3982466360740.503588969796908
41139.14132.495538872451-3.80192468115108149.586385808700-6.64446112754871
42158.3167.625751152026-2.78968603829151151.7639348862669.32575115202576
43149149.821973285590-5.7634572494219153.9414839638320.82197328559019
44158.36151.6297542224439.5757376383294155.514508139227-6.73024577755672
45168.06181.807539053614-2.77507136823657157.08753231462313.7475390536136
46153.38152.177205729211-2.42828871218015157.011082982969-1.20279427078859
47173.86182.0068805194238.77848582926247156.9346336513158.146880519423
48162.47174.624368500286-4.72195435127229155.03758585098712.1543685002856
49145.17146.728708957628-9.52924700828724153.1405380506591.55870895762843
50168.89183.8946452585334.00099912636879149.88435561509815.0046452585334
51166.64180.1855837388036.46624308166065146.62817317953713.5455837388025
52140.07134.2671641075562.98816439412893142.884671498315-5.80283589244411
53128.84122.340754864058-3.80192468115108139.141169817093-6.4992451359424
54123.4113.750694660752-2.78968603829151135.838991377540-9.64930533924806
55120.3113.826644311436-5.7634572494219132.536812937986-6.47335568856379
56129.66120.5180865770579.5757376383294129.226175784614-9.14191342294332
57118.12113.099532736994-2.77507136823657125.915538631242-5.02046726300554
58113.91107.562077028893-2.42828871218015122.686211683287-6.34792297110727
59131.09133.9446294354058.77848582926247119.4568847353332.85462943540483
60119.14126.579900657496-4.72195435127229116.4220536937767.43990065749605
61115.33126.802024356067-9.52924700828724113.38722265222011.4720243560675



Parameters (Session):
par1 = 36 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par4 = ; par5 = 1 ; par6 = ; par7 = 1 ; par8 = FALSE ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')