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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 computationWed, 25 Jul 2012 07:23:30 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Jul/25/t1343215450sighqmqzzcz7brq.htm/, Retrieved Sat, 04 May 2024 00:42:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=168861, Retrieved Sat, 04 May 2024 00:42:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact161
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Workshop 5: Time ...] [2010-12-07 12:18:30] [eb6e95800005ec22b7fd76eead8d8a59]
- RMPD    [Decomposition by Loess] [Berekening 4] [2012-07-25 11:23:30] [0b94335bf72158573fe52322b9537409] [Current]
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Dataseries X:
-6
-3
-3
-7
-9
-11
-13
-11
-9
-17
-22
-25
-20
-24
-24
-22
-19
-18
-17
-11
-11
-12
-10
-15
-15
-15
-13
-8
-13
-9
-7
-4
-4
-2
0
-2
-3
1
-2
-1
1
-3
-4
-9
-9
-7
-14
-12
-16
-20
-12
-12
-10
-10




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168861&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168861&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168861&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'Herman Ole Andreas Wold' @ wold.wessa.net







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal541055
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 541 & 0 & 55 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168861&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]541[/C][C]0[/C][C]55[/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=168861&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168861&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
Seasonal541055
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1-6-7.67015875140195-2.5987984132633-1.73104283533475-1.67015875140195
2-3-0.163875069741431-2.41656651404875-3.419558416209822.83612493025857
3-3-0.257588346888028-0.634337656027088-5.108073997084882.74241165311197
4-7-7.728500559279790.490751144940244-6.76225058566046-0.728500559279787
5-9-10.39940812043160.815835294667625-8.41642717423603-1.3994081204316
6-11-12.83128559707090.876166857383295-10.0448812603124-1.83128559707091
7-13-14.56525458318870.238589929577489-11.6733353463887-1.56525458318874
8-11-10.64221979631771.93434549311578-13.29212569679810.357780203682294
9-9-5.719182635375552.63009868258296-14.91091604720743.28081736462445
10-17-19.20993059959321.47459399289736-16.2646633933042-2.2099305995932
11-22-25.9506800899994-0.430909170599659-17.6184107394009-3.95068008999943
12-25-29.2880999327829-2.37976770328114-18.332132363936-4.28809993278287
13-20-18.3553475982656-2.5987984132633-19.04585398847111.64465240173438
14-24-26.4124949787942-2.41656651404875-19.170938507157-2.41249497879421
15-24-28.0696393181299-0.634337656027088-19.296023025843-4.06963931812992
16-22-25.65859122067970.490751144940244-18.8321599242606-3.65859122067969
17-19-20.44753847198950.815835294667625-18.3682968226781-1.4475384719895
18-18-19.32171412776210.876166857383295-17.5544527296212-1.32171412776207
19-17-17.49798129301320.238589929577489-16.7406086365643-0.497981293013162
20-11-8.068321707999261.93434549311578-15.86602378511652.93167829200074
21-11-9.638659748914242.63009868258296-14.99143893366871.36134025108576
22-12-11.31072111939361.47459399289736-14.16387287350380.689278880606413
23-10-6.23278401606151-0.430909170599659-13.33630681333883.76721598393849
24-15-14.9484607797774-2.37976770328114-12.67177151694150.0515392202226259
25-15-15.3939653661925-2.5987984132633-12.0072362205442-0.39396536619255
26-15-16.1768697486611-2.41656651404875-11.4065637372902-1.17686974866105
27-13-14.5597710899367-0.634337656027088-10.8058912540362-1.55977108993668
28-8-6.445032894504830.490751144940244-10.04571825043541.55496710549517
29-13-17.5302900478330.815835294667625-9.2855452468346-4.53029004783303
30-9-10.60562875792190.876166857383295-8.27053809946137-1.60562875792193
31-7-6.983058977489350.238589929577489-7.255530952088140.0169410225106494
32-4-3.812994798130581.93434549311578-6.12135069498520.187005201869417
33-4-5.64292824470072.63009868258296-4.98717043788226-1.6429282447007
34-2-1.458075254246551.47459399289736-4.016518738650810.541924745753446
3503.47677621001901-0.430909170599659-3.045867039419353.47677621001901
36-20.872055048952639-2.37976770328114-2.49228734567152.87205504895264
37-3-1.46249393481305-2.5987984132633-1.938707651923651.53750606518695
3816.48610098276695-2.41656651404875-2.069534468718195.48610098276695
39-2-1.16530105846018-0.634337656027088-2.200361285512740.834698941539825
40-10.4377214783842140.490751144940244-2.928472623324461.43772147838421
4114.840748666468550.815835294667625-3.656583961136183.84074866646855
42-3-2.096453773950980.876166857383295-4.779713083432320.903546226049024
43-4-2.335747723849030.238589929577489-5.902842205728461.66425227615097
44-9-12.79660737085541.93434549311578-7.1377381222604-3.79660737085538
45-9-12.25746464379062.63009868258296-8.37263403879234-3.25746464379062
46-7-6.344700602043971.47459399289736-9.129893390853390.655299397956028
47-14-17.6819380864859-0.430909170599659-9.88715274291444-3.6819380864859
48-12-11.0755387600181-2.37976770328114-10.54469353670080.924461239981898
49-16-18.1989672562496-2.5987984132633-11.2022343304871-2.19896725624961
50-20-25.7642443185851-2.41656651404875-11.8191891673662-5.76424431858509
51-12-10.9295183397277-0.634337656027088-12.43614400424521.07048166027232
52-12-11.50168283601960.490751144940244-12.98906830892060.498317163980378
53-10-7.273842681071610.815835294667625-13.5419926135962.72615731892839
54-10-6.841649930063380.876166857383295-14.03451692731993.15835006993662

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & -6 & -7.67015875140195 & -2.5987984132633 & -1.73104283533475 & -1.67015875140195 \tabularnewline
2 & -3 & -0.163875069741431 & -2.41656651404875 & -3.41955841620982 & 2.83612493025857 \tabularnewline
3 & -3 & -0.257588346888028 & -0.634337656027088 & -5.10807399708488 & 2.74241165311197 \tabularnewline
4 & -7 & -7.72850055927979 & 0.490751144940244 & -6.76225058566046 & -0.728500559279787 \tabularnewline
5 & -9 & -10.3994081204316 & 0.815835294667625 & -8.41642717423603 & -1.3994081204316 \tabularnewline
6 & -11 & -12.8312855970709 & 0.876166857383295 & -10.0448812603124 & -1.83128559707091 \tabularnewline
7 & -13 & -14.5652545831887 & 0.238589929577489 & -11.6733353463887 & -1.56525458318874 \tabularnewline
8 & -11 & -10.6422197963177 & 1.93434549311578 & -13.2921256967981 & 0.357780203682294 \tabularnewline
9 & -9 & -5.71918263537555 & 2.63009868258296 & -14.9109160472074 & 3.28081736462445 \tabularnewline
10 & -17 & -19.2099305995932 & 1.47459399289736 & -16.2646633933042 & -2.2099305995932 \tabularnewline
11 & -22 & -25.9506800899994 & -0.430909170599659 & -17.6184107394009 & -3.95068008999943 \tabularnewline
12 & -25 & -29.2880999327829 & -2.37976770328114 & -18.332132363936 & -4.28809993278287 \tabularnewline
13 & -20 & -18.3553475982656 & -2.5987984132633 & -19.0458539884711 & 1.64465240173438 \tabularnewline
14 & -24 & -26.4124949787942 & -2.41656651404875 & -19.170938507157 & -2.41249497879421 \tabularnewline
15 & -24 & -28.0696393181299 & -0.634337656027088 & -19.296023025843 & -4.06963931812992 \tabularnewline
16 & -22 & -25.6585912206797 & 0.490751144940244 & -18.8321599242606 & -3.65859122067969 \tabularnewline
17 & -19 & -20.4475384719895 & 0.815835294667625 & -18.3682968226781 & -1.4475384719895 \tabularnewline
18 & -18 & -19.3217141277621 & 0.876166857383295 & -17.5544527296212 & -1.32171412776207 \tabularnewline
19 & -17 & -17.4979812930132 & 0.238589929577489 & -16.7406086365643 & -0.497981293013162 \tabularnewline
20 & -11 & -8.06832170799926 & 1.93434549311578 & -15.8660237851165 & 2.93167829200074 \tabularnewline
21 & -11 & -9.63865974891424 & 2.63009868258296 & -14.9914389336687 & 1.36134025108576 \tabularnewline
22 & -12 & -11.3107211193936 & 1.47459399289736 & -14.1638728735038 & 0.689278880606413 \tabularnewline
23 & -10 & -6.23278401606151 & -0.430909170599659 & -13.3363068133388 & 3.76721598393849 \tabularnewline
24 & -15 & -14.9484607797774 & -2.37976770328114 & -12.6717715169415 & 0.0515392202226259 \tabularnewline
25 & -15 & -15.3939653661925 & -2.5987984132633 & -12.0072362205442 & -0.39396536619255 \tabularnewline
26 & -15 & -16.1768697486611 & -2.41656651404875 & -11.4065637372902 & -1.17686974866105 \tabularnewline
27 & -13 & -14.5597710899367 & -0.634337656027088 & -10.8058912540362 & -1.55977108993668 \tabularnewline
28 & -8 & -6.44503289450483 & 0.490751144940244 & -10.0457182504354 & 1.55496710549517 \tabularnewline
29 & -13 & -17.530290047833 & 0.815835294667625 & -9.2855452468346 & -4.53029004783303 \tabularnewline
30 & -9 & -10.6056287579219 & 0.876166857383295 & -8.27053809946137 & -1.60562875792193 \tabularnewline
31 & -7 & -6.98305897748935 & 0.238589929577489 & -7.25553095208814 & 0.0169410225106494 \tabularnewline
32 & -4 & -3.81299479813058 & 1.93434549311578 & -6.1213506949852 & 0.187005201869417 \tabularnewline
33 & -4 & -5.6429282447007 & 2.63009868258296 & -4.98717043788226 & -1.6429282447007 \tabularnewline
34 & -2 & -1.45807525424655 & 1.47459399289736 & -4.01651873865081 & 0.541924745753446 \tabularnewline
35 & 0 & 3.47677621001901 & -0.430909170599659 & -3.04586703941935 & 3.47677621001901 \tabularnewline
36 & -2 & 0.872055048952639 & -2.37976770328114 & -2.4922873456715 & 2.87205504895264 \tabularnewline
37 & -3 & -1.46249393481305 & -2.5987984132633 & -1.93870765192365 & 1.53750606518695 \tabularnewline
38 & 1 & 6.48610098276695 & -2.41656651404875 & -2.06953446871819 & 5.48610098276695 \tabularnewline
39 & -2 & -1.16530105846018 & -0.634337656027088 & -2.20036128551274 & 0.834698941539825 \tabularnewline
40 & -1 & 0.437721478384214 & 0.490751144940244 & -2.92847262332446 & 1.43772147838421 \tabularnewline
41 & 1 & 4.84074866646855 & 0.815835294667625 & -3.65658396113618 & 3.84074866646855 \tabularnewline
42 & -3 & -2.09645377395098 & 0.876166857383295 & -4.77971308343232 & 0.903546226049024 \tabularnewline
43 & -4 & -2.33574772384903 & 0.238589929577489 & -5.90284220572846 & 1.66425227615097 \tabularnewline
44 & -9 & -12.7966073708554 & 1.93434549311578 & -7.1377381222604 & -3.79660737085538 \tabularnewline
45 & -9 & -12.2574646437906 & 2.63009868258296 & -8.37263403879234 & -3.25746464379062 \tabularnewline
46 & -7 & -6.34470060204397 & 1.47459399289736 & -9.12989339085339 & 0.655299397956028 \tabularnewline
47 & -14 & -17.6819380864859 & -0.430909170599659 & -9.88715274291444 & -3.6819380864859 \tabularnewline
48 & -12 & -11.0755387600181 & -2.37976770328114 & -10.5446935367008 & 0.924461239981898 \tabularnewline
49 & -16 & -18.1989672562496 & -2.5987984132633 & -11.2022343304871 & -2.19896725624961 \tabularnewline
50 & -20 & -25.7642443185851 & -2.41656651404875 & -11.8191891673662 & -5.76424431858509 \tabularnewline
51 & -12 & -10.9295183397277 & -0.634337656027088 & -12.4361440042452 & 1.07048166027232 \tabularnewline
52 & -12 & -11.5016828360196 & 0.490751144940244 & -12.9890683089206 & 0.498317163980378 \tabularnewline
53 & -10 & -7.27384268107161 & 0.815835294667625 & -13.541992613596 & 2.72615731892839 \tabularnewline
54 & -10 & -6.84164993006338 & 0.876166857383295 & -14.0345169273199 & 3.15835006993662 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168861&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]-6[/C][C]-7.67015875140195[/C][C]-2.5987984132633[/C][C]-1.73104283533475[/C][C]-1.67015875140195[/C][/ROW]
[ROW][C]2[/C][C]-3[/C][C]-0.163875069741431[/C][C]-2.41656651404875[/C][C]-3.41955841620982[/C][C]2.83612493025857[/C][/ROW]
[ROW][C]3[/C][C]-3[/C][C]-0.257588346888028[/C][C]-0.634337656027088[/C][C]-5.10807399708488[/C][C]2.74241165311197[/C][/ROW]
[ROW][C]4[/C][C]-7[/C][C]-7.72850055927979[/C][C]0.490751144940244[/C][C]-6.76225058566046[/C][C]-0.728500559279787[/C][/ROW]
[ROW][C]5[/C][C]-9[/C][C]-10.3994081204316[/C][C]0.815835294667625[/C][C]-8.41642717423603[/C][C]-1.3994081204316[/C][/ROW]
[ROW][C]6[/C][C]-11[/C][C]-12.8312855970709[/C][C]0.876166857383295[/C][C]-10.0448812603124[/C][C]-1.83128559707091[/C][/ROW]
[ROW][C]7[/C][C]-13[/C][C]-14.5652545831887[/C][C]0.238589929577489[/C][C]-11.6733353463887[/C][C]-1.56525458318874[/C][/ROW]
[ROW][C]8[/C][C]-11[/C][C]-10.6422197963177[/C][C]1.93434549311578[/C][C]-13.2921256967981[/C][C]0.357780203682294[/C][/ROW]
[ROW][C]9[/C][C]-9[/C][C]-5.71918263537555[/C][C]2.63009868258296[/C][C]-14.9109160472074[/C][C]3.28081736462445[/C][/ROW]
[ROW][C]10[/C][C]-17[/C][C]-19.2099305995932[/C][C]1.47459399289736[/C][C]-16.2646633933042[/C][C]-2.2099305995932[/C][/ROW]
[ROW][C]11[/C][C]-22[/C][C]-25.9506800899994[/C][C]-0.430909170599659[/C][C]-17.6184107394009[/C][C]-3.95068008999943[/C][/ROW]
[ROW][C]12[/C][C]-25[/C][C]-29.2880999327829[/C][C]-2.37976770328114[/C][C]-18.332132363936[/C][C]-4.28809993278287[/C][/ROW]
[ROW][C]13[/C][C]-20[/C][C]-18.3553475982656[/C][C]-2.5987984132633[/C][C]-19.0458539884711[/C][C]1.64465240173438[/C][/ROW]
[ROW][C]14[/C][C]-24[/C][C]-26.4124949787942[/C][C]-2.41656651404875[/C][C]-19.170938507157[/C][C]-2.41249497879421[/C][/ROW]
[ROW][C]15[/C][C]-24[/C][C]-28.0696393181299[/C][C]-0.634337656027088[/C][C]-19.296023025843[/C][C]-4.06963931812992[/C][/ROW]
[ROW][C]16[/C][C]-22[/C][C]-25.6585912206797[/C][C]0.490751144940244[/C][C]-18.8321599242606[/C][C]-3.65859122067969[/C][/ROW]
[ROW][C]17[/C][C]-19[/C][C]-20.4475384719895[/C][C]0.815835294667625[/C][C]-18.3682968226781[/C][C]-1.4475384719895[/C][/ROW]
[ROW][C]18[/C][C]-18[/C][C]-19.3217141277621[/C][C]0.876166857383295[/C][C]-17.5544527296212[/C][C]-1.32171412776207[/C][/ROW]
[ROW][C]19[/C][C]-17[/C][C]-17.4979812930132[/C][C]0.238589929577489[/C][C]-16.7406086365643[/C][C]-0.497981293013162[/C][/ROW]
[ROW][C]20[/C][C]-11[/C][C]-8.06832170799926[/C][C]1.93434549311578[/C][C]-15.8660237851165[/C][C]2.93167829200074[/C][/ROW]
[ROW][C]21[/C][C]-11[/C][C]-9.63865974891424[/C][C]2.63009868258296[/C][C]-14.9914389336687[/C][C]1.36134025108576[/C][/ROW]
[ROW][C]22[/C][C]-12[/C][C]-11.3107211193936[/C][C]1.47459399289736[/C][C]-14.1638728735038[/C][C]0.689278880606413[/C][/ROW]
[ROW][C]23[/C][C]-10[/C][C]-6.23278401606151[/C][C]-0.430909170599659[/C][C]-13.3363068133388[/C][C]3.76721598393849[/C][/ROW]
[ROW][C]24[/C][C]-15[/C][C]-14.9484607797774[/C][C]-2.37976770328114[/C][C]-12.6717715169415[/C][C]0.0515392202226259[/C][/ROW]
[ROW][C]25[/C][C]-15[/C][C]-15.3939653661925[/C][C]-2.5987984132633[/C][C]-12.0072362205442[/C][C]-0.39396536619255[/C][/ROW]
[ROW][C]26[/C][C]-15[/C][C]-16.1768697486611[/C][C]-2.41656651404875[/C][C]-11.4065637372902[/C][C]-1.17686974866105[/C][/ROW]
[ROW][C]27[/C][C]-13[/C][C]-14.5597710899367[/C][C]-0.634337656027088[/C][C]-10.8058912540362[/C][C]-1.55977108993668[/C][/ROW]
[ROW][C]28[/C][C]-8[/C][C]-6.44503289450483[/C][C]0.490751144940244[/C][C]-10.0457182504354[/C][C]1.55496710549517[/C][/ROW]
[ROW][C]29[/C][C]-13[/C][C]-17.530290047833[/C][C]0.815835294667625[/C][C]-9.2855452468346[/C][C]-4.53029004783303[/C][/ROW]
[ROW][C]30[/C][C]-9[/C][C]-10.6056287579219[/C][C]0.876166857383295[/C][C]-8.27053809946137[/C][C]-1.60562875792193[/C][/ROW]
[ROW][C]31[/C][C]-7[/C][C]-6.98305897748935[/C][C]0.238589929577489[/C][C]-7.25553095208814[/C][C]0.0169410225106494[/C][/ROW]
[ROW][C]32[/C][C]-4[/C][C]-3.81299479813058[/C][C]1.93434549311578[/C][C]-6.1213506949852[/C][C]0.187005201869417[/C][/ROW]
[ROW][C]33[/C][C]-4[/C][C]-5.6429282447007[/C][C]2.63009868258296[/C][C]-4.98717043788226[/C][C]-1.6429282447007[/C][/ROW]
[ROW][C]34[/C][C]-2[/C][C]-1.45807525424655[/C][C]1.47459399289736[/C][C]-4.01651873865081[/C][C]0.541924745753446[/C][/ROW]
[ROW][C]35[/C][C]0[/C][C]3.47677621001901[/C][C]-0.430909170599659[/C][C]-3.04586703941935[/C][C]3.47677621001901[/C][/ROW]
[ROW][C]36[/C][C]-2[/C][C]0.872055048952639[/C][C]-2.37976770328114[/C][C]-2.4922873456715[/C][C]2.87205504895264[/C][/ROW]
[ROW][C]37[/C][C]-3[/C][C]-1.46249393481305[/C][C]-2.5987984132633[/C][C]-1.93870765192365[/C][C]1.53750606518695[/C][/ROW]
[ROW][C]38[/C][C]1[/C][C]6.48610098276695[/C][C]-2.41656651404875[/C][C]-2.06953446871819[/C][C]5.48610098276695[/C][/ROW]
[ROW][C]39[/C][C]-2[/C][C]-1.16530105846018[/C][C]-0.634337656027088[/C][C]-2.20036128551274[/C][C]0.834698941539825[/C][/ROW]
[ROW][C]40[/C][C]-1[/C][C]0.437721478384214[/C][C]0.490751144940244[/C][C]-2.92847262332446[/C][C]1.43772147838421[/C][/ROW]
[ROW][C]41[/C][C]1[/C][C]4.84074866646855[/C][C]0.815835294667625[/C][C]-3.65658396113618[/C][C]3.84074866646855[/C][/ROW]
[ROW][C]42[/C][C]-3[/C][C]-2.09645377395098[/C][C]0.876166857383295[/C][C]-4.77971308343232[/C][C]0.903546226049024[/C][/ROW]
[ROW][C]43[/C][C]-4[/C][C]-2.33574772384903[/C][C]0.238589929577489[/C][C]-5.90284220572846[/C][C]1.66425227615097[/C][/ROW]
[ROW][C]44[/C][C]-9[/C][C]-12.7966073708554[/C][C]1.93434549311578[/C][C]-7.1377381222604[/C][C]-3.79660737085538[/C][/ROW]
[ROW][C]45[/C][C]-9[/C][C]-12.2574646437906[/C][C]2.63009868258296[/C][C]-8.37263403879234[/C][C]-3.25746464379062[/C][/ROW]
[ROW][C]46[/C][C]-7[/C][C]-6.34470060204397[/C][C]1.47459399289736[/C][C]-9.12989339085339[/C][C]0.655299397956028[/C][/ROW]
[ROW][C]47[/C][C]-14[/C][C]-17.6819380864859[/C][C]-0.430909170599659[/C][C]-9.88715274291444[/C][C]-3.6819380864859[/C][/ROW]
[ROW][C]48[/C][C]-12[/C][C]-11.0755387600181[/C][C]-2.37976770328114[/C][C]-10.5446935367008[/C][C]0.924461239981898[/C][/ROW]
[ROW][C]49[/C][C]-16[/C][C]-18.1989672562496[/C][C]-2.5987984132633[/C][C]-11.2022343304871[/C][C]-2.19896725624961[/C][/ROW]
[ROW][C]50[/C][C]-20[/C][C]-25.7642443185851[/C][C]-2.41656651404875[/C][C]-11.8191891673662[/C][C]-5.76424431858509[/C][/ROW]
[ROW][C]51[/C][C]-12[/C][C]-10.9295183397277[/C][C]-0.634337656027088[/C][C]-12.4361440042452[/C][C]1.07048166027232[/C][/ROW]
[ROW][C]52[/C][C]-12[/C][C]-11.5016828360196[/C][C]0.490751144940244[/C][C]-12.9890683089206[/C][C]0.498317163980378[/C][/ROW]
[ROW][C]53[/C][C]-10[/C][C]-7.27384268107161[/C][C]0.815835294667625[/C][C]-13.541992613596[/C][C]2.72615731892839[/C][/ROW]
[ROW][C]54[/C][C]-10[/C][C]-6.84164993006338[/C][C]0.876166857383295[/C][C]-14.0345169273199[/C][C]3.15835006993662[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168861&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168861&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
1-6-7.67015875140195-2.5987984132633-1.73104283533475-1.67015875140195
2-3-0.163875069741431-2.41656651404875-3.419558416209822.83612493025857
3-3-0.257588346888028-0.634337656027088-5.108073997084882.74241165311197
4-7-7.728500559279790.490751144940244-6.76225058566046-0.728500559279787
5-9-10.39940812043160.815835294667625-8.41642717423603-1.3994081204316
6-11-12.83128559707090.876166857383295-10.0448812603124-1.83128559707091
7-13-14.56525458318870.238589929577489-11.6733353463887-1.56525458318874
8-11-10.64221979631771.93434549311578-13.29212569679810.357780203682294
9-9-5.719182635375552.63009868258296-14.91091604720743.28081736462445
10-17-19.20993059959321.47459399289736-16.2646633933042-2.2099305995932
11-22-25.9506800899994-0.430909170599659-17.6184107394009-3.95068008999943
12-25-29.2880999327829-2.37976770328114-18.332132363936-4.28809993278287
13-20-18.3553475982656-2.5987984132633-19.04585398847111.64465240173438
14-24-26.4124949787942-2.41656651404875-19.170938507157-2.41249497879421
15-24-28.0696393181299-0.634337656027088-19.296023025843-4.06963931812992
16-22-25.65859122067970.490751144940244-18.8321599242606-3.65859122067969
17-19-20.44753847198950.815835294667625-18.3682968226781-1.4475384719895
18-18-19.32171412776210.876166857383295-17.5544527296212-1.32171412776207
19-17-17.49798129301320.238589929577489-16.7406086365643-0.497981293013162
20-11-8.068321707999261.93434549311578-15.86602378511652.93167829200074
21-11-9.638659748914242.63009868258296-14.99143893366871.36134025108576
22-12-11.31072111939361.47459399289736-14.16387287350380.689278880606413
23-10-6.23278401606151-0.430909170599659-13.33630681333883.76721598393849
24-15-14.9484607797774-2.37976770328114-12.67177151694150.0515392202226259
25-15-15.3939653661925-2.5987984132633-12.0072362205442-0.39396536619255
26-15-16.1768697486611-2.41656651404875-11.4065637372902-1.17686974866105
27-13-14.5597710899367-0.634337656027088-10.8058912540362-1.55977108993668
28-8-6.445032894504830.490751144940244-10.04571825043541.55496710549517
29-13-17.5302900478330.815835294667625-9.2855452468346-4.53029004783303
30-9-10.60562875792190.876166857383295-8.27053809946137-1.60562875792193
31-7-6.983058977489350.238589929577489-7.255530952088140.0169410225106494
32-4-3.812994798130581.93434549311578-6.12135069498520.187005201869417
33-4-5.64292824470072.63009868258296-4.98717043788226-1.6429282447007
34-2-1.458075254246551.47459399289736-4.016518738650810.541924745753446
3503.47677621001901-0.430909170599659-3.045867039419353.47677621001901
36-20.872055048952639-2.37976770328114-2.49228734567152.87205504895264
37-3-1.46249393481305-2.5987984132633-1.938707651923651.53750606518695
3816.48610098276695-2.41656651404875-2.069534468718195.48610098276695
39-2-1.16530105846018-0.634337656027088-2.200361285512740.834698941539825
40-10.4377214783842140.490751144940244-2.928472623324461.43772147838421
4114.840748666468550.815835294667625-3.656583961136183.84074866646855
42-3-2.096453773950980.876166857383295-4.779713083432320.903546226049024
43-4-2.335747723849030.238589929577489-5.902842205728461.66425227615097
44-9-12.79660737085541.93434549311578-7.1377381222604-3.79660737085538
45-9-12.25746464379062.63009868258296-8.37263403879234-3.25746464379062
46-7-6.344700602043971.47459399289736-9.129893390853390.655299397956028
47-14-17.6819380864859-0.430909170599659-9.88715274291444-3.6819380864859
48-12-11.0755387600181-2.37976770328114-10.54469353670080.924461239981898
49-16-18.1989672562496-2.5987984132633-11.2022343304871-2.19896725624961
50-20-25.7642443185851-2.41656651404875-11.8191891673662-5.76424431858509
51-12-10.9295183397277-0.634337656027088-12.43614400424521.07048166027232
52-12-11.50168283601960.490751144940244-12.98906830892060.498317163980378
53-10-7.273842681071610.815835294667625-13.5419926135962.72615731892839
54-10-6.841649930063380.876166857383295-14.03451692731993.15835006993662



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')