Free Statistics

of Irreproducible Research!

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 computationTue, 04 Oct 2022 22:45:39 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2022/Oct/04/t1664916418vtouuj92f7x40jd.htm/, Retrieved Fri, 28 Aug 2026 17:49:40 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 28 Aug 2026 17:49:40 +0200
QR Codes:

Original text written by user:
IsPrivate?This computation is private
User-defined keywords
Estimated Impact0
Dataseries X:
32.33
33.18
34.05
35.29
35.18
35.07
34.18
32.32
31.27
0
-31.27
-62.54
-93.81
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27
-31.27




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal741075
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 741 & 0 & 75 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]741[/C][C]0[/C][C]75[/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=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
Seasonal741075
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
132.3323.0886660814544-12.707845735896954.2791796544425-9.24133391854556
233.1820.6945279265652-2.1104345317151547.7759066051499-12.4854720734348
334.0526.59996649481150.22739994933109641.2726335558574-7.45003350518852
435.2934.2544364412741.9019266036350334.423636955091-1.03556355872603
535.1839.43390605993233.3514535857431127.57464035432464.25390605993233
635.0745.52147977314664.0656652073977620.552855019455610.4514797731466
734.1850.17905329696294.6498770184503713.531069684586715.9990532969629
832.3253.02257095811954.955592358788346.661836683092220.7025709581195
931.2757.35108881595855.39630750244383-0.20739631840232826.0810888159585
1005.897014314508861.06837606606119-6.965390380570055.89701431450886
11-31.27-45.5570601869408-3.25955537032146-13.7233844427378-14.2870601869408
12-62.54-97.8437314888697-7.53875802777045-19.6975104833599-35.3037314888696
13-93.81-149.240517740121-12.7078457358969-25.671636523982-55.430517740121
14-31.27-30.2918181226667-2.11043453171515-30.13774734561810.978181877333295
15-31.27-28.16354178207680.227399949331096-34.60385816725433.10645821792317
16-31.27-28.48697810855291.90192660363503-35.95494849508222.78302189144713
17-31.27-28.58541476283313.35145358574311-37.30603882291012.68458523716695
18-31.27-30.73211173295144.06566520739776-35.87355347444640.537888267048622
19-31.27-32.74880889246774.64987701845037-34.4410681259827-1.47880889246765
20-31.27-34.45048328806454.95559235878834-33.0451090707238-3.18048328806454
21-31.27-36.28715748697895.39630750244383-31.6491500154649-5.01715748697895
22-31.27-32.33073332780541.06837606606119-31.2776427382557-1.06073332780545
23-31.27-28.374309168632-3.25955537032146-30.90613546104662.89569083136805
24-31.27-24.2020290540824-7.53875802777045-30.79921291814717.06797094591759
25-31.27-19.1398638888554-12.7078457358969-30.692290375247712.1301361111446
26-31.27-29.5905209594026-2.11043453171515-30.83904450888231.67947904059744
27-31.27-31.78160130681420.227399949331096-30.9857986425169-0.511601306814228
28-31.27-33.12687104575581.90192660363503-31.3150555578792-1.8568710457558
29-31.27-34.24714111250153.35145358574311-31.6443124732416-2.9771411125015
30-31.27-34.83210633770974.06566520739776-31.7735588696881-3.56210633770967
31-31.27-35.28707175231584.64987701845037-31.9028052661346-4.01707175231579
32-31.27-35.79880532688314.95559235878834-31.6967870319052-4.52880532688313
33-31.27-36.4455387047685.39630750244383-31.4907687976758-5.17553870476799
34-31.27-32.40992375153361.06837606606119-31.1984523145276-1.1399237515336
35-31.27-28.3743087982992-3.25955537032146-30.90613583137932.89569120170078
36-31.27-24.2020285084218-7.53875802777045-30.79921346380787.06797149157822
37-31.27-19.1398631678669-12.7078457358969-30.692291096236212.1301368321331
38-31.27-29.5905203814059-2.11043453171515-30.8390450868791.67947961859412
39-31.27-31.78160087180940.227399949331096-30.9857990775217-0.51160087180936
40-31.27-33.12687102551631.90192660363503-31.3150555781188-1.85687102551628
41-31.27-34.24714150702733.35145358574311-31.6443120787158-2.97714150702734
42-31.27-34.83210692904724.06566520739776-31.7735582783505-3.56210692904725
43-31.27-35.28707254046514.64987701845037-31.9028044779853-4.01707254046509
44-31.27-35.79880589422624.95559235878834-31.6967864645621-4.52880589422624
45-31.27-36.44553905130495.39630750244383-31.4907684511389-5.17553905130491
46-31.27-32.40992373962091.06837606606119-31.1984523264403-1.13992373962085
47-31.27-28.3743084279368-3.25955537032146-30.90613620174172.89569157206321
48-31.27-24.2020279627459-7.53875802777045-30.79921400948367.06797203725408
49-31.27-19.1398624468776-12.7078457358969-30.692291817225512.1301375531224
50-31.27-29.5905198034095-2.11043453171515-30.83904566487531.67948019659049
51-31.27-31.78160043680590.227399949331096-30.9857995125252-0.511600436805921
52-31.27-33.12687100528331.90192660363503-31.3150555983517-1.85687100528334
53-31.27-34.24714190156493.35145358574311-31.6443116841782-2.97714190156488
54-31.27-34.83210752036394.06566520739776-31.7735576870338-3.56210752036395
55-31.27-35.2870733285614.64987701845037-31.9028036898894-4.01707332856096
56-31.27-35.79880646098994.95559235878834-31.6967858977984-4.52880646098989
57-31.27-36.44553939673635.39630750244383-31.4907681057075-5.17553939673634
58-31.27-32.40992372369731.06837606606119-31.1984523423639-1.13992372369726
59-31.27-28.3743080506582-3.25955537032146-30.90613657902042.89569194934181
60-31.27-24.2020274002269-7.53875802777045-30.79921457200277.06797259977314
61-31.27-19.139861699118-12.7078457358969-30.69229256498512.130138300882
62-31.27-29.5905191742879-2.11043453171515-30.83904629399691.67948082571207
63-31.27-31.78159992632230.227399949331096-30.9858000230088-0.511599926322287
64-31.27-33.12687086383291.90192660363503-31.3150557398021-1.85687086383295
65-31.27-34.24714212914783.35145358574311-31.6443114565954-2.97714212914775
66-31.27-35.32526379772934.06566520739776-31.2804014096684-4.05526379772932
67-31.27-36.27338565570884.64987701845037-30.9164913627415-5.00338565570884
68-31.27-36.95194411302514.95559235878834-30.5436482457633-5.68194411302507
69-31.27-37.76550237365885.39630750244383-30.170805128785-6.49550237365882
70-31.27-33.88177533701681.06837606606119-29.7266007290444-2.6117753370168
71-31.27-29.9980483003748-3.25955537032146-29.28239632930371.27195169962521
72-31.27-26.3131708542856-7.53875802777045-28.68807111794394.95682914571438
73-31.27-21.738408357519-12.7078457358969-28.09374590658419.53159164248104
74-31.27-33.0527388219148-2.11043453171515-27.3768266463701-1.78273882191478

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 32.33 & 23.0886660814544 & -12.7078457358969 & 54.2791796544425 & -9.24133391854556 \tabularnewline
2 & 33.18 & 20.6945279265652 & -2.11043453171515 & 47.7759066051499 & -12.4854720734348 \tabularnewline
3 & 34.05 & 26.5999664948115 & 0.227399949331096 & 41.2726335558574 & -7.45003350518852 \tabularnewline
4 & 35.29 & 34.254436441274 & 1.90192660363503 & 34.423636955091 & -1.03556355872603 \tabularnewline
5 & 35.18 & 39.4339060599323 & 3.35145358574311 & 27.5746403543246 & 4.25390605993233 \tabularnewline
6 & 35.07 & 45.5214797731466 & 4.06566520739776 & 20.5528550194556 & 10.4514797731466 \tabularnewline
7 & 34.18 & 50.1790532969629 & 4.64987701845037 & 13.5310696845867 & 15.9990532969629 \tabularnewline
8 & 32.32 & 53.0225709581195 & 4.95559235878834 & 6.6618366830922 & 20.7025709581195 \tabularnewline
9 & 31.27 & 57.3510888159585 & 5.39630750244383 & -0.207396318402328 & 26.0810888159585 \tabularnewline
10 & 0 & 5.89701431450886 & 1.06837606606119 & -6.96539038057005 & 5.89701431450886 \tabularnewline
11 & -31.27 & -45.5570601869408 & -3.25955537032146 & -13.7233844427378 & -14.2870601869408 \tabularnewline
12 & -62.54 & -97.8437314888697 & -7.53875802777045 & -19.6975104833599 & -35.3037314888696 \tabularnewline
13 & -93.81 & -149.240517740121 & -12.7078457358969 & -25.671636523982 & -55.430517740121 \tabularnewline
14 & -31.27 & -30.2918181226667 & -2.11043453171515 & -30.1377473456181 & 0.978181877333295 \tabularnewline
15 & -31.27 & -28.1635417820768 & 0.227399949331096 & -34.6038581672543 & 3.10645821792317 \tabularnewline
16 & -31.27 & -28.4869781085529 & 1.90192660363503 & -35.9549484950822 & 2.78302189144713 \tabularnewline
17 & -31.27 & -28.5854147628331 & 3.35145358574311 & -37.3060388229101 & 2.68458523716695 \tabularnewline
18 & -31.27 & -30.7321117329514 & 4.06566520739776 & -35.8735534744464 & 0.537888267048622 \tabularnewline
19 & -31.27 & -32.7488088924677 & 4.64987701845037 & -34.4410681259827 & -1.47880889246765 \tabularnewline
20 & -31.27 & -34.4504832880645 & 4.95559235878834 & -33.0451090707238 & -3.18048328806454 \tabularnewline
21 & -31.27 & -36.2871574869789 & 5.39630750244383 & -31.6491500154649 & -5.01715748697895 \tabularnewline
22 & -31.27 & -32.3307333278054 & 1.06837606606119 & -31.2776427382557 & -1.06073332780545 \tabularnewline
23 & -31.27 & -28.374309168632 & -3.25955537032146 & -30.9061354610466 & 2.89569083136805 \tabularnewline
24 & -31.27 & -24.2020290540824 & -7.53875802777045 & -30.7992129181471 & 7.06797094591759 \tabularnewline
25 & -31.27 & -19.1398638888554 & -12.7078457358969 & -30.6922903752477 & 12.1301361111446 \tabularnewline
26 & -31.27 & -29.5905209594026 & -2.11043453171515 & -30.8390445088823 & 1.67947904059744 \tabularnewline
27 & -31.27 & -31.7816013068142 & 0.227399949331096 & -30.9857986425169 & -0.511601306814228 \tabularnewline
28 & -31.27 & -33.1268710457558 & 1.90192660363503 & -31.3150555578792 & -1.8568710457558 \tabularnewline
29 & -31.27 & -34.2471411125015 & 3.35145358574311 & -31.6443124732416 & -2.9771411125015 \tabularnewline
30 & -31.27 & -34.8321063377097 & 4.06566520739776 & -31.7735588696881 & -3.56210633770967 \tabularnewline
31 & -31.27 & -35.2870717523158 & 4.64987701845037 & -31.9028052661346 & -4.01707175231579 \tabularnewline
32 & -31.27 & -35.7988053268831 & 4.95559235878834 & -31.6967870319052 & -4.52880532688313 \tabularnewline
33 & -31.27 & -36.445538704768 & 5.39630750244383 & -31.4907687976758 & -5.17553870476799 \tabularnewline
34 & -31.27 & -32.4099237515336 & 1.06837606606119 & -31.1984523145276 & -1.1399237515336 \tabularnewline
35 & -31.27 & -28.3743087982992 & -3.25955537032146 & -30.9061358313793 & 2.89569120170078 \tabularnewline
36 & -31.27 & -24.2020285084218 & -7.53875802777045 & -30.7992134638078 & 7.06797149157822 \tabularnewline
37 & -31.27 & -19.1398631678669 & -12.7078457358969 & -30.6922910962362 & 12.1301368321331 \tabularnewline
38 & -31.27 & -29.5905203814059 & -2.11043453171515 & -30.839045086879 & 1.67947961859412 \tabularnewline
39 & -31.27 & -31.7816008718094 & 0.227399949331096 & -30.9857990775217 & -0.51160087180936 \tabularnewline
40 & -31.27 & -33.1268710255163 & 1.90192660363503 & -31.3150555781188 & -1.85687102551628 \tabularnewline
41 & -31.27 & -34.2471415070273 & 3.35145358574311 & -31.6443120787158 & -2.97714150702734 \tabularnewline
42 & -31.27 & -34.8321069290472 & 4.06566520739776 & -31.7735582783505 & -3.56210692904725 \tabularnewline
43 & -31.27 & -35.2870725404651 & 4.64987701845037 & -31.9028044779853 & -4.01707254046509 \tabularnewline
44 & -31.27 & -35.7988058942262 & 4.95559235878834 & -31.6967864645621 & -4.52880589422624 \tabularnewline
45 & -31.27 & -36.4455390513049 & 5.39630750244383 & -31.4907684511389 & -5.17553905130491 \tabularnewline
46 & -31.27 & -32.4099237396209 & 1.06837606606119 & -31.1984523264403 & -1.13992373962085 \tabularnewline
47 & -31.27 & -28.3743084279368 & -3.25955537032146 & -30.9061362017417 & 2.89569157206321 \tabularnewline
48 & -31.27 & -24.2020279627459 & -7.53875802777045 & -30.7992140094836 & 7.06797203725408 \tabularnewline
49 & -31.27 & -19.1398624468776 & -12.7078457358969 & -30.6922918172255 & 12.1301375531224 \tabularnewline
50 & -31.27 & -29.5905198034095 & -2.11043453171515 & -30.8390456648753 & 1.67948019659049 \tabularnewline
51 & -31.27 & -31.7816004368059 & 0.227399949331096 & -30.9857995125252 & -0.511600436805921 \tabularnewline
52 & -31.27 & -33.1268710052833 & 1.90192660363503 & -31.3150555983517 & -1.85687100528334 \tabularnewline
53 & -31.27 & -34.2471419015649 & 3.35145358574311 & -31.6443116841782 & -2.97714190156488 \tabularnewline
54 & -31.27 & -34.8321075203639 & 4.06566520739776 & -31.7735576870338 & -3.56210752036395 \tabularnewline
55 & -31.27 & -35.287073328561 & 4.64987701845037 & -31.9028036898894 & -4.01707332856096 \tabularnewline
56 & -31.27 & -35.7988064609899 & 4.95559235878834 & -31.6967858977984 & -4.52880646098989 \tabularnewline
57 & -31.27 & -36.4455393967363 & 5.39630750244383 & -31.4907681057075 & -5.17553939673634 \tabularnewline
58 & -31.27 & -32.4099237236973 & 1.06837606606119 & -31.1984523423639 & -1.13992372369726 \tabularnewline
59 & -31.27 & -28.3743080506582 & -3.25955537032146 & -30.9061365790204 & 2.89569194934181 \tabularnewline
60 & -31.27 & -24.2020274002269 & -7.53875802777045 & -30.7992145720027 & 7.06797259977314 \tabularnewline
61 & -31.27 & -19.139861699118 & -12.7078457358969 & -30.692292564985 & 12.130138300882 \tabularnewline
62 & -31.27 & -29.5905191742879 & -2.11043453171515 & -30.8390462939969 & 1.67948082571207 \tabularnewline
63 & -31.27 & -31.7815999263223 & 0.227399949331096 & -30.9858000230088 & -0.511599926322287 \tabularnewline
64 & -31.27 & -33.1268708638329 & 1.90192660363503 & -31.3150557398021 & -1.85687086383295 \tabularnewline
65 & -31.27 & -34.2471421291478 & 3.35145358574311 & -31.6443114565954 & -2.97714212914775 \tabularnewline
66 & -31.27 & -35.3252637977293 & 4.06566520739776 & -31.2804014096684 & -4.05526379772932 \tabularnewline
67 & -31.27 & -36.2733856557088 & 4.64987701845037 & -30.9164913627415 & -5.00338565570884 \tabularnewline
68 & -31.27 & -36.9519441130251 & 4.95559235878834 & -30.5436482457633 & -5.68194411302507 \tabularnewline
69 & -31.27 & -37.7655023736588 & 5.39630750244383 & -30.170805128785 & -6.49550237365882 \tabularnewline
70 & -31.27 & -33.8817753370168 & 1.06837606606119 & -29.7266007290444 & -2.6117753370168 \tabularnewline
71 & -31.27 & -29.9980483003748 & -3.25955537032146 & -29.2823963293037 & 1.27195169962521 \tabularnewline
72 & -31.27 & -26.3131708542856 & -7.53875802777045 & -28.6880711179439 & 4.95682914571438 \tabularnewline
73 & -31.27 & -21.738408357519 & -12.7078457358969 & -28.0937459065841 & 9.53159164248104 \tabularnewline
74 & -31.27 & -33.0527388219148 & -2.11043453171515 & -27.3768266463701 & -1.78273882191478 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]32.33[/C][C]23.0886660814544[/C][C]-12.7078457358969[/C][C]54.2791796544425[/C][C]-9.24133391854556[/C][/ROW]
[ROW][C]2[/C][C]33.18[/C][C]20.6945279265652[/C][C]-2.11043453171515[/C][C]47.7759066051499[/C][C]-12.4854720734348[/C][/ROW]
[ROW][C]3[/C][C]34.05[/C][C]26.5999664948115[/C][C]0.227399949331096[/C][C]41.2726335558574[/C][C]-7.45003350518852[/C][/ROW]
[ROW][C]4[/C][C]35.29[/C][C]34.254436441274[/C][C]1.90192660363503[/C][C]34.423636955091[/C][C]-1.03556355872603[/C][/ROW]
[ROW][C]5[/C][C]35.18[/C][C]39.4339060599323[/C][C]3.35145358574311[/C][C]27.5746403543246[/C][C]4.25390605993233[/C][/ROW]
[ROW][C]6[/C][C]35.07[/C][C]45.5214797731466[/C][C]4.06566520739776[/C][C]20.5528550194556[/C][C]10.4514797731466[/C][/ROW]
[ROW][C]7[/C][C]34.18[/C][C]50.1790532969629[/C][C]4.64987701845037[/C][C]13.5310696845867[/C][C]15.9990532969629[/C][/ROW]
[ROW][C]8[/C][C]32.32[/C][C]53.0225709581195[/C][C]4.95559235878834[/C][C]6.6618366830922[/C][C]20.7025709581195[/C][/ROW]
[ROW][C]9[/C][C]31.27[/C][C]57.3510888159585[/C][C]5.39630750244383[/C][C]-0.207396318402328[/C][C]26.0810888159585[/C][/ROW]
[ROW][C]10[/C][C]0[/C][C]5.89701431450886[/C][C]1.06837606606119[/C][C]-6.96539038057005[/C][C]5.89701431450886[/C][/ROW]
[ROW][C]11[/C][C]-31.27[/C][C]-45.5570601869408[/C][C]-3.25955537032146[/C][C]-13.7233844427378[/C][C]-14.2870601869408[/C][/ROW]
[ROW][C]12[/C][C]-62.54[/C][C]-97.8437314888697[/C][C]-7.53875802777045[/C][C]-19.6975104833599[/C][C]-35.3037314888696[/C][/ROW]
[ROW][C]13[/C][C]-93.81[/C][C]-149.240517740121[/C][C]-12.7078457358969[/C][C]-25.671636523982[/C][C]-55.430517740121[/C][/ROW]
[ROW][C]14[/C][C]-31.27[/C][C]-30.2918181226667[/C][C]-2.11043453171515[/C][C]-30.1377473456181[/C][C]0.978181877333295[/C][/ROW]
[ROW][C]15[/C][C]-31.27[/C][C]-28.1635417820768[/C][C]0.227399949331096[/C][C]-34.6038581672543[/C][C]3.10645821792317[/C][/ROW]
[ROW][C]16[/C][C]-31.27[/C][C]-28.4869781085529[/C][C]1.90192660363503[/C][C]-35.9549484950822[/C][C]2.78302189144713[/C][/ROW]
[ROW][C]17[/C][C]-31.27[/C][C]-28.5854147628331[/C][C]3.35145358574311[/C][C]-37.3060388229101[/C][C]2.68458523716695[/C][/ROW]
[ROW][C]18[/C][C]-31.27[/C][C]-30.7321117329514[/C][C]4.06566520739776[/C][C]-35.8735534744464[/C][C]0.537888267048622[/C][/ROW]
[ROW][C]19[/C][C]-31.27[/C][C]-32.7488088924677[/C][C]4.64987701845037[/C][C]-34.4410681259827[/C][C]-1.47880889246765[/C][/ROW]
[ROW][C]20[/C][C]-31.27[/C][C]-34.4504832880645[/C][C]4.95559235878834[/C][C]-33.0451090707238[/C][C]-3.18048328806454[/C][/ROW]
[ROW][C]21[/C][C]-31.27[/C][C]-36.2871574869789[/C][C]5.39630750244383[/C][C]-31.6491500154649[/C][C]-5.01715748697895[/C][/ROW]
[ROW][C]22[/C][C]-31.27[/C][C]-32.3307333278054[/C][C]1.06837606606119[/C][C]-31.2776427382557[/C][C]-1.06073332780545[/C][/ROW]
[ROW][C]23[/C][C]-31.27[/C][C]-28.374309168632[/C][C]-3.25955537032146[/C][C]-30.9061354610466[/C][C]2.89569083136805[/C][/ROW]
[ROW][C]24[/C][C]-31.27[/C][C]-24.2020290540824[/C][C]-7.53875802777045[/C][C]-30.7992129181471[/C][C]7.06797094591759[/C][/ROW]
[ROW][C]25[/C][C]-31.27[/C][C]-19.1398638888554[/C][C]-12.7078457358969[/C][C]-30.6922903752477[/C][C]12.1301361111446[/C][/ROW]
[ROW][C]26[/C][C]-31.27[/C][C]-29.5905209594026[/C][C]-2.11043453171515[/C][C]-30.8390445088823[/C][C]1.67947904059744[/C][/ROW]
[ROW][C]27[/C][C]-31.27[/C][C]-31.7816013068142[/C][C]0.227399949331096[/C][C]-30.9857986425169[/C][C]-0.511601306814228[/C][/ROW]
[ROW][C]28[/C][C]-31.27[/C][C]-33.1268710457558[/C][C]1.90192660363503[/C][C]-31.3150555578792[/C][C]-1.8568710457558[/C][/ROW]
[ROW][C]29[/C][C]-31.27[/C][C]-34.2471411125015[/C][C]3.35145358574311[/C][C]-31.6443124732416[/C][C]-2.9771411125015[/C][/ROW]
[ROW][C]30[/C][C]-31.27[/C][C]-34.8321063377097[/C][C]4.06566520739776[/C][C]-31.7735588696881[/C][C]-3.56210633770967[/C][/ROW]
[ROW][C]31[/C][C]-31.27[/C][C]-35.2870717523158[/C][C]4.64987701845037[/C][C]-31.9028052661346[/C][C]-4.01707175231579[/C][/ROW]
[ROW][C]32[/C][C]-31.27[/C][C]-35.7988053268831[/C][C]4.95559235878834[/C][C]-31.6967870319052[/C][C]-4.52880532688313[/C][/ROW]
[ROW][C]33[/C][C]-31.27[/C][C]-36.445538704768[/C][C]5.39630750244383[/C][C]-31.4907687976758[/C][C]-5.17553870476799[/C][/ROW]
[ROW][C]34[/C][C]-31.27[/C][C]-32.4099237515336[/C][C]1.06837606606119[/C][C]-31.1984523145276[/C][C]-1.1399237515336[/C][/ROW]
[ROW][C]35[/C][C]-31.27[/C][C]-28.3743087982992[/C][C]-3.25955537032146[/C][C]-30.9061358313793[/C][C]2.89569120170078[/C][/ROW]
[ROW][C]36[/C][C]-31.27[/C][C]-24.2020285084218[/C][C]-7.53875802777045[/C][C]-30.7992134638078[/C][C]7.06797149157822[/C][/ROW]
[ROW][C]37[/C][C]-31.27[/C][C]-19.1398631678669[/C][C]-12.7078457358969[/C][C]-30.6922910962362[/C][C]12.1301368321331[/C][/ROW]
[ROW][C]38[/C][C]-31.27[/C][C]-29.5905203814059[/C][C]-2.11043453171515[/C][C]-30.839045086879[/C][C]1.67947961859412[/C][/ROW]
[ROW][C]39[/C][C]-31.27[/C][C]-31.7816008718094[/C][C]0.227399949331096[/C][C]-30.9857990775217[/C][C]-0.51160087180936[/C][/ROW]
[ROW][C]40[/C][C]-31.27[/C][C]-33.1268710255163[/C][C]1.90192660363503[/C][C]-31.3150555781188[/C][C]-1.85687102551628[/C][/ROW]
[ROW][C]41[/C][C]-31.27[/C][C]-34.2471415070273[/C][C]3.35145358574311[/C][C]-31.6443120787158[/C][C]-2.97714150702734[/C][/ROW]
[ROW][C]42[/C][C]-31.27[/C][C]-34.8321069290472[/C][C]4.06566520739776[/C][C]-31.7735582783505[/C][C]-3.56210692904725[/C][/ROW]
[ROW][C]43[/C][C]-31.27[/C][C]-35.2870725404651[/C][C]4.64987701845037[/C][C]-31.9028044779853[/C][C]-4.01707254046509[/C][/ROW]
[ROW][C]44[/C][C]-31.27[/C][C]-35.7988058942262[/C][C]4.95559235878834[/C][C]-31.6967864645621[/C][C]-4.52880589422624[/C][/ROW]
[ROW][C]45[/C][C]-31.27[/C][C]-36.4455390513049[/C][C]5.39630750244383[/C][C]-31.4907684511389[/C][C]-5.17553905130491[/C][/ROW]
[ROW][C]46[/C][C]-31.27[/C][C]-32.4099237396209[/C][C]1.06837606606119[/C][C]-31.1984523264403[/C][C]-1.13992373962085[/C][/ROW]
[ROW][C]47[/C][C]-31.27[/C][C]-28.3743084279368[/C][C]-3.25955537032146[/C][C]-30.9061362017417[/C][C]2.89569157206321[/C][/ROW]
[ROW][C]48[/C][C]-31.27[/C][C]-24.2020279627459[/C][C]-7.53875802777045[/C][C]-30.7992140094836[/C][C]7.06797203725408[/C][/ROW]
[ROW][C]49[/C][C]-31.27[/C][C]-19.1398624468776[/C][C]-12.7078457358969[/C][C]-30.6922918172255[/C][C]12.1301375531224[/C][/ROW]
[ROW][C]50[/C][C]-31.27[/C][C]-29.5905198034095[/C][C]-2.11043453171515[/C][C]-30.8390456648753[/C][C]1.67948019659049[/C][/ROW]
[ROW][C]51[/C][C]-31.27[/C][C]-31.7816004368059[/C][C]0.227399949331096[/C][C]-30.9857995125252[/C][C]-0.511600436805921[/C][/ROW]
[ROW][C]52[/C][C]-31.27[/C][C]-33.1268710052833[/C][C]1.90192660363503[/C][C]-31.3150555983517[/C][C]-1.85687100528334[/C][/ROW]
[ROW][C]53[/C][C]-31.27[/C][C]-34.2471419015649[/C][C]3.35145358574311[/C][C]-31.6443116841782[/C][C]-2.97714190156488[/C][/ROW]
[ROW][C]54[/C][C]-31.27[/C][C]-34.8321075203639[/C][C]4.06566520739776[/C][C]-31.7735576870338[/C][C]-3.56210752036395[/C][/ROW]
[ROW][C]55[/C][C]-31.27[/C][C]-35.287073328561[/C][C]4.64987701845037[/C][C]-31.9028036898894[/C][C]-4.01707332856096[/C][/ROW]
[ROW][C]56[/C][C]-31.27[/C][C]-35.7988064609899[/C][C]4.95559235878834[/C][C]-31.6967858977984[/C][C]-4.52880646098989[/C][/ROW]
[ROW][C]57[/C][C]-31.27[/C][C]-36.4455393967363[/C][C]5.39630750244383[/C][C]-31.4907681057075[/C][C]-5.17553939673634[/C][/ROW]
[ROW][C]58[/C][C]-31.27[/C][C]-32.4099237236973[/C][C]1.06837606606119[/C][C]-31.1984523423639[/C][C]-1.13992372369726[/C][/ROW]
[ROW][C]59[/C][C]-31.27[/C][C]-28.3743080506582[/C][C]-3.25955537032146[/C][C]-30.9061365790204[/C][C]2.89569194934181[/C][/ROW]
[ROW][C]60[/C][C]-31.27[/C][C]-24.2020274002269[/C][C]-7.53875802777045[/C][C]-30.7992145720027[/C][C]7.06797259977314[/C][/ROW]
[ROW][C]61[/C][C]-31.27[/C][C]-19.139861699118[/C][C]-12.7078457358969[/C][C]-30.692292564985[/C][C]12.130138300882[/C][/ROW]
[ROW][C]62[/C][C]-31.27[/C][C]-29.5905191742879[/C][C]-2.11043453171515[/C][C]-30.8390462939969[/C][C]1.67948082571207[/C][/ROW]
[ROW][C]63[/C][C]-31.27[/C][C]-31.7815999263223[/C][C]0.227399949331096[/C][C]-30.9858000230088[/C][C]-0.511599926322287[/C][/ROW]
[ROW][C]64[/C][C]-31.27[/C][C]-33.1268708638329[/C][C]1.90192660363503[/C][C]-31.3150557398021[/C][C]-1.85687086383295[/C][/ROW]
[ROW][C]65[/C][C]-31.27[/C][C]-34.2471421291478[/C][C]3.35145358574311[/C][C]-31.6443114565954[/C][C]-2.97714212914775[/C][/ROW]
[ROW][C]66[/C][C]-31.27[/C][C]-35.3252637977293[/C][C]4.06566520739776[/C][C]-31.2804014096684[/C][C]-4.05526379772932[/C][/ROW]
[ROW][C]67[/C][C]-31.27[/C][C]-36.2733856557088[/C][C]4.64987701845037[/C][C]-30.9164913627415[/C][C]-5.00338565570884[/C][/ROW]
[ROW][C]68[/C][C]-31.27[/C][C]-36.9519441130251[/C][C]4.95559235878834[/C][C]-30.5436482457633[/C][C]-5.68194411302507[/C][/ROW]
[ROW][C]69[/C][C]-31.27[/C][C]-37.7655023736588[/C][C]5.39630750244383[/C][C]-30.170805128785[/C][C]-6.49550237365882[/C][/ROW]
[ROW][C]70[/C][C]-31.27[/C][C]-33.8817753370168[/C][C]1.06837606606119[/C][C]-29.7266007290444[/C][C]-2.6117753370168[/C][/ROW]
[ROW][C]71[/C][C]-31.27[/C][C]-29.9980483003748[/C][C]-3.25955537032146[/C][C]-29.2823963293037[/C][C]1.27195169962521[/C][/ROW]
[ROW][C]72[/C][C]-31.27[/C][C]-26.3131708542856[/C][C]-7.53875802777045[/C][C]-28.6880711179439[/C][C]4.95682914571438[/C][/ROW]
[ROW][C]73[/C][C]-31.27[/C][C]-21.738408357519[/C][C]-12.7078457358969[/C][C]-28.0937459065841[/C][C]9.53159164248104[/C][/ROW]
[ROW][C]74[/C][C]-31.27[/C][C]-33.0527388219148[/C][C]-2.11043453171515[/C][C]-27.3768266463701[/C][C]-1.78273882191478[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
132.3323.0886660814544-12.707845735896954.2791796544425-9.24133391854556
233.1820.6945279265652-2.1104345317151547.7759066051499-12.4854720734348
334.0526.59996649481150.22739994933109641.2726335558574-7.45003350518852
435.2934.2544364412741.9019266036350334.423636955091-1.03556355872603
535.1839.43390605993233.3514535857431127.57464035432464.25390605993233
635.0745.52147977314664.0656652073977620.552855019455610.4514797731466
734.1850.17905329696294.6498770184503713.531069684586715.9990532969629
832.3253.02257095811954.955592358788346.661836683092220.7025709581195
931.2757.35108881595855.39630750244383-0.20739631840232826.0810888159585
1005.897014314508861.06837606606119-6.965390380570055.89701431450886
11-31.27-45.5570601869408-3.25955537032146-13.7233844427378-14.2870601869408
12-62.54-97.8437314888697-7.53875802777045-19.6975104833599-35.3037314888696
13-93.81-149.240517740121-12.7078457358969-25.671636523982-55.430517740121
14-31.27-30.2918181226667-2.11043453171515-30.13774734561810.978181877333295
15-31.27-28.16354178207680.227399949331096-34.60385816725433.10645821792317
16-31.27-28.48697810855291.90192660363503-35.95494849508222.78302189144713
17-31.27-28.58541476283313.35145358574311-37.30603882291012.68458523716695
18-31.27-30.73211173295144.06566520739776-35.87355347444640.537888267048622
19-31.27-32.74880889246774.64987701845037-34.4410681259827-1.47880889246765
20-31.27-34.45048328806454.95559235878834-33.0451090707238-3.18048328806454
21-31.27-36.28715748697895.39630750244383-31.6491500154649-5.01715748697895
22-31.27-32.33073332780541.06837606606119-31.2776427382557-1.06073332780545
23-31.27-28.374309168632-3.25955537032146-30.90613546104662.89569083136805
24-31.27-24.2020290540824-7.53875802777045-30.79921291814717.06797094591759
25-31.27-19.1398638888554-12.7078457358969-30.692290375247712.1301361111446
26-31.27-29.5905209594026-2.11043453171515-30.83904450888231.67947904059744
27-31.27-31.78160130681420.227399949331096-30.9857986425169-0.511601306814228
28-31.27-33.12687104575581.90192660363503-31.3150555578792-1.8568710457558
29-31.27-34.24714111250153.35145358574311-31.6443124732416-2.9771411125015
30-31.27-34.83210633770974.06566520739776-31.7735588696881-3.56210633770967
31-31.27-35.28707175231584.64987701845037-31.9028052661346-4.01707175231579
32-31.27-35.79880532688314.95559235878834-31.6967870319052-4.52880532688313
33-31.27-36.4455387047685.39630750244383-31.4907687976758-5.17553870476799
34-31.27-32.40992375153361.06837606606119-31.1984523145276-1.1399237515336
35-31.27-28.3743087982992-3.25955537032146-30.90613583137932.89569120170078
36-31.27-24.2020285084218-7.53875802777045-30.79921346380787.06797149157822
37-31.27-19.1398631678669-12.7078457358969-30.692291096236212.1301368321331
38-31.27-29.5905203814059-2.11043453171515-30.8390450868791.67947961859412
39-31.27-31.78160087180940.227399949331096-30.9857990775217-0.51160087180936
40-31.27-33.12687102551631.90192660363503-31.3150555781188-1.85687102551628
41-31.27-34.24714150702733.35145358574311-31.6443120787158-2.97714150702734
42-31.27-34.83210692904724.06566520739776-31.7735582783505-3.56210692904725
43-31.27-35.28707254046514.64987701845037-31.9028044779853-4.01707254046509
44-31.27-35.79880589422624.95559235878834-31.6967864645621-4.52880589422624
45-31.27-36.44553905130495.39630750244383-31.4907684511389-5.17553905130491
46-31.27-32.40992373962091.06837606606119-31.1984523264403-1.13992373962085
47-31.27-28.3743084279368-3.25955537032146-30.90613620174172.89569157206321
48-31.27-24.2020279627459-7.53875802777045-30.79921400948367.06797203725408
49-31.27-19.1398624468776-12.7078457358969-30.692291817225512.1301375531224
50-31.27-29.5905198034095-2.11043453171515-30.83904566487531.67948019659049
51-31.27-31.78160043680590.227399949331096-30.9857995125252-0.511600436805921
52-31.27-33.12687100528331.90192660363503-31.3150555983517-1.85687100528334
53-31.27-34.24714190156493.35145358574311-31.6443116841782-2.97714190156488
54-31.27-34.83210752036394.06566520739776-31.7735576870338-3.56210752036395
55-31.27-35.2870733285614.64987701845037-31.9028036898894-4.01707332856096
56-31.27-35.79880646098994.95559235878834-31.6967858977984-4.52880646098989
57-31.27-36.44553939673635.39630750244383-31.4907681057075-5.17553939673634
58-31.27-32.40992372369731.06837606606119-31.1984523423639-1.13992372369726
59-31.27-28.3743080506582-3.25955537032146-30.90613657902042.89569194934181
60-31.27-24.2020274002269-7.53875802777045-30.79921457200277.06797259977314
61-31.27-19.139861699118-12.7078457358969-30.69229256498512.130138300882
62-31.27-29.5905191742879-2.11043453171515-30.83904629399691.67948082571207
63-31.27-31.78159992632230.227399949331096-30.9858000230088-0.511599926322287
64-31.27-33.12687086383291.90192660363503-31.3150557398021-1.85687086383295
65-31.27-34.24714212914783.35145358574311-31.6443114565954-2.97714212914775
66-31.27-35.32526379772934.06566520739776-31.2804014096684-4.05526379772932
67-31.27-36.27338565570884.64987701845037-30.9164913627415-5.00338565570884
68-31.27-36.95194411302514.95559235878834-30.5436482457633-5.68194411302507
69-31.27-37.76550237365885.39630750244383-30.170805128785-6.49550237365882
70-31.27-33.88177533701681.06837606606119-29.7266007290444-2.6117753370168
71-31.27-29.9980483003748-3.25955537032146-29.28239632930371.27195169962521
72-31.27-26.3131708542856-7.53875802777045-28.68807111794394.95682914571438
73-31.27-21.738408357519-12.7078457358969-28.09374590658419.53159164248104
74-31.27-33.0527388219148-2.11043453171515-27.3768266463701-1.78273882191478



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):
par8 <- 'FALSE'
par7 <- '1'
par6 <- ''
par5 <- '1'
par4 <- ''
par3 <- '0'
par2 <- 'periodic'
par1 <- '12'
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')