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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 computationThu, 01 Dec 2011 13:38:01 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/01/t1322764723z5bvmwuojnutivp.htm/, Retrieved Wed, 24 Apr 2024 22:15:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149937, Retrieved Wed, 24 Apr 2024 22:15:17 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Brutoindex van de...] [2011-12-01 18:38:01] [22ff23eaefab118cb5de5c6132878e2b] [Current]
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Dataseries X:
101,5
100,7
110,6
96,8
100
104,8
86,8
92
100,2
106,6
102,1
93,7
97,6
96,9
105,6
102,8
101,7
104,2
92,7
91,9
106,5
112,3
102,8
96,5
101
98,9
105,1
103
99
104,3
94,6
90,4
108,9
111,4
100,8
102,5
98,2
98,7
113,3
104,6
99,3
111,8
97,3
97,7
115,6
111,9
107
107,1
100,6
99,2
108,4
103
99,8
115
90,8
95,9
114,4
108,2
112,6
109,1
105
105
118,5
103,7
112,5
116,6
96,6
101,9
116,5
119,3
115,4
108,5
111,5
108,8
121,8
109,6
112,2
119,6
104,1
105,3
115
124,1
116,8
107,5
115,6
116,2
116,3
119
111,9
118,6
106,9
103,2
118,6
118,7
102,8
100,6
94,9
94,5
102,9
95,3
92,5
102,7
91,5
89,5
104,2
105,2
99
95,5
90,5
96,1
113
101,9
101,4
113,6
96,6
97,8
114,9
112,5
108,4
107
103,5
107,5
122,3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149937&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149937&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149937&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'AstonUniversity' @ aston.wessa.net







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal12310124
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 1231 & 0 & 124 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149937&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]1231[/C][C]0[/C][C]124[/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=149937&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149937&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
Seasonal12310124
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1101.5103.844003052029-3.36305594607018102.5190528940422.34400305202851
2100.7102.613731370649-3.22353761600566102.0098062453571.91373137064872
3110.6112.5380047370027.16143566632576101.5005595966721.938004737002
496.893.381911171414-0.836815305776498101.054904134363-3.41808882858602
5100101.211637909913-1.82088658196619100.6092486720531.21163790991339
6104.8103.1611071805096.22657176721205100.212321052278-1.63889281949054
786.882.9305783055471-9.145971738051399.8153934325042-3.86942169445287
89292.9738906891238-8.4223967966955399.44850610757170.97389068912382
9100.294.86720194569666.4511792716641599.0816187826392-5.33279805430338
10106.6106.2690230038447.9104470856031299.0205299105526-0.330976996155712
11102.1103.6608422075511.5797167539832398.9594410384661.56084220755082
1293.790.7000776072938-2.5166866208683699.2166090135746-2.99992239270624
1397.699.0892789573869-3.3630559460701899.47377698868331.48927895738687
1496.997.2364384019576-3.2235376160056699.7870992140480.336438401957608
15105.6103.9381428942617.16143566632576100.100421439413-1.66185710573856
16102.8106.044442821558-0.836815305776498100.3923724842193.24444282155766
17101.7104.536563052941-1.82088658196619100.6843235290252.83656305294132
18104.2101.2748263415416.22657176721205100.898601891247-2.9251736584588
1992.793.4330914845827-9.1459717380513101.1128802534690.733091484582658
2091.991.01047977438-8.42239679669553101.211917022316-0.88952022562006
21106.5105.2378669371736.45117927166415101.310953791163-1.26213306282668
22112.3115.3737006180337.91044708560312101.3158522963643.07370061803303
23102.8102.6995324444521.57971675398323101.320750801565-0.10046755554842
2496.594.2125742204952-2.51668662086836101.304112400373-2.28742577950484
25101104.075581946889-3.36305594607018101.2874739991813.07558194688895
2698.999.738785930955-3.22353761600566101.2847516850510.838785930955083
27105.1101.7565349627547.16143566632576101.28202937092-3.34346503724569
28103105.553150237059-0.836815305776498101.2836650687182.55315023705897
299998.535585815451-1.82088658196619101.285300766515-0.464414184548929
30104.3101.0268247907256.22657176721205101.346603442063-3.2731752092746
3194.696.9380656204413-9.1459717380513101.407906117612.33806562044133
3290.487.6469047357679-8.42239679669553101.575492060928-2.75309526423214
33108.9109.6057427240916.45117927166415101.7430780042450.705742724090499
34111.4112.8692813274497.91044708560312102.0202715869481.46928132744907
35100.897.72281807636651.57971675398323102.29746516965-3.07718192363353
36102.5104.866381763956-2.51668662086836102.6503048569132.36638176395556
3798.296.7599114018948-3.36305594607018103.003144544175-1.44008859810516
3898.797.202089143207-3.22353761600566103.421448472799-1.49791085679311
39113.3115.5988119322527.16143566632576103.8397524014222.29881193225204
40104.6105.791858802807-0.836815305776498104.2449565029691.19185880280705
4199.395.7707259774495-1.82088658196619104.650160604517-3.52927402255048
42111.8112.4162217597986.22657176721205104.957206472990.616221759797511
4397.398.481719396587-9.1459717380513105.2642523414641.18171939658711
4497.798.4968636359493-8.42239679669553105.3255331607460.796863635949322
45115.6119.3620067483086.45117927166415105.3868139800283.76200674830761
46111.9110.6182162265897.91044708560312105.271336687808-1.28178377341062
47107107.264423850431.57971675398323105.1558593955870.264423850429978
48107.1111.7399070658-2.51668662086836104.9767795550694.63990706579963
49100.699.7653562315195-3.36305594607018104.797699714551-0.834643768480504
5099.297.0418230435992-3.22353761600566104.581714572406-2.15817695640081
51108.4105.2728349034127.16143566632576104.365729430262-3.12716509658803
52103102.515986687714-0.836815305776498104.320828618062-0.484013312285583
5399.897.1449587761043-1.82088658196619104.275927805862-2.65504122389569
54115119.2058838715176.22657176721205104.5675443612714.20588387151703
5590.885.8868108213713-9.1459717380513104.85916091668-4.91318917862866
5695.994.8309473163556-8.42239679669553105.39144948034-1.06905268364443
57114.4116.4250826843366.45117927166415105.9237380442.02508268433589
58108.2101.9824305905357.91044708560312106.507122323862-6.21756940946491
59112.6116.5297766422931.57971675398323107.0905066037243.92977664229313
60109.1113.117067079578-2.51668662086836107.599619541294.01706707957814
61105105.254323467213-3.36305594607018108.1087324788570.254323467213339
62105104.687213341271-3.22353761600566108.536324274734-0.312786658728612
63118.5120.8746482630637.16143566632576108.9639160706122.37464826306254
64103.798.94171524087-0.836815305776498109.295100064907-4.75828475913004
65112.5117.194602522765-1.82088658196619109.6262840592014.69460252276482
66116.6117.0485965584026.22657176721205109.9248316743860.448596558402357
6796.692.1225924484815-9.1459717380513110.22337928957-4.47740755151851
68101.9101.652838846053-8.42239679669553110.569557950642-0.247161153946919
69116.5115.6330841166216.45117927166415110.915736611715-0.866915883379235
70119.3119.4379270128697.91044708560312111.2516259015280.137927012868715
71115.4117.6327680546761.57971675398323111.5875151913412.23276805467553
72108.5107.607752647242-2.51668662086836111.908933973626-0.89224735275792
73111.5114.132703190159-3.36305594607018112.2303527559112.63270319015885
74108.8108.345956902889-3.22353761600566112.477580713116-0.454043097110628
75121.8123.7137556633537.16143566632576112.7248086703211.91375566335302
76109.6107.192895465867-0.836815305776498112.84391983991-2.40710453413328
77112.2113.257855572468-1.82088658196619112.9630310094981.05785557246786
78119.6119.8689569202266.22657176721205113.1044713125620.268956920226444
79104.1104.100060122427-9.1459717380513113.2459116156256.01224266318923e-05
80105.3105.555672970987-8.42239679669553113.4667238257090.255672970987007
81115109.8612846925436.45117927166415113.687536035792-5.13871530745651
82124.1126.3753091184947.91044708560312113.9142437959032.27530911849357
83116.8117.8793316900021.57971675398323114.1409515560141.07933169000249
84107.5103.227042666355-2.51668662086836114.289643954513-4.2729573336448
85115.6120.124719593058-3.36305594607018114.4383363530124.52471959305809
86116.2121.172602021684-3.22353761600566114.4509355943214.97260202168434
87116.3110.9750294980447.16143566632576114.463534835631-5.32497050195634
88119124.782537577832-0.836815305776498114.0542777279445.78253757783204
89111.9111.975865961708-1.82088658196619113.6450206202580.075865961707862
90118.6118.3686570658716.22657176721205112.604771166917-0.231342934129245
91106.9111.381450024475-9.1459717380513111.5645217135764.48145002447527
92103.2104.793842386091-8.42239679669553110.0285544106051.59384238609073
93118.6122.2562336207026.45117927166415108.4925871076343.6562336207023
94118.7122.7105730283557.91044708560312106.7789798860424.01057302835459
95102.898.95491058156571.57971675398323105.065372664451-3.8450894184343
96100.6100.247556355072-2.51668662086836103.469130265796-0.352443644927931
9794.991.2901680789287-3.36305594607018101.872887867142-3.60983192107135
9894.591.5951931702332-3.22353761600566100.628344445772-2.90480682976677
99102.999.2547633092717.1614356663257699.3838010244033-3.64523669072908
10095.392.812062947814-0.83681530577649898.6247523579624-2.48793705218596
10192.588.9551828904446-1.8208865819661997.8657036915216-3.5448171095554
102102.7101.5986557350286.2265717672120597.5747724977601-1.10134426497216
10391.594.8621304340527-9.145971738051397.28384130399863.36213043405267
10489.589.966503675772-8.4223967966955397.45589312092350.466503675771975
105104.2104.3208757904876.4511792716641597.62794493784850.120875790487389
106105.2104.3309812975417.9104470856031298.1585716168558-0.869018702458916
1079997.73108495015361.5797167539832398.6891982958632-1.26891504984638
10895.594.131794696148-2.5166866208683699.3848919247204-1.36820530385204
10990.584.2824703924925-3.36305594607018100.080585553578-6.21752960750749
11096.194.566482467135-3.22353761600566100.857055148871-1.53351753286496
111113117.2050395895117.16143566632576101.6335247441644.20503958951068
112101.9102.12553924281-0.836815305776498102.5112760629670.225539242809788
113101.4101.231859200196-1.82088658196619103.38902738177-0.168140799803652
114113.6116.7632210625346.22657176721205104.2102071702543.16322106253395
11596.697.3145847793131-9.1459717380513105.0313869587380.714584779313142
11697.898.1419724255337-8.42239679669553105.8804243711620.341972425533683
117114.9116.619358944756.45117927166415106.7294617835861.71935894475033
118112.5109.5166756983367.91044708560312107.572877216061-2.98332430166414
119108.4106.803990597481.57971675398323108.416292648537-1.59600940251975
120107107.286069267529-2.51668662086836109.230617353340.286069267528688
121103.5100.318113887927-3.36305594607018110.044942058143-3.18188611207265
122107.5107.374960081745-3.22353761600566110.848577534261-0.12503991825524
123122.3125.7863513232957.16143566632576111.6522130103793.48635132329528

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 101.5 & 103.844003052029 & -3.36305594607018 & 102.519052894042 & 2.34400305202851 \tabularnewline
2 & 100.7 & 102.613731370649 & -3.22353761600566 & 102.009806245357 & 1.91373137064872 \tabularnewline
3 & 110.6 & 112.538004737002 & 7.16143566632576 & 101.500559596672 & 1.938004737002 \tabularnewline
4 & 96.8 & 93.381911171414 & -0.836815305776498 & 101.054904134363 & -3.41808882858602 \tabularnewline
5 & 100 & 101.211637909913 & -1.82088658196619 & 100.609248672053 & 1.21163790991339 \tabularnewline
6 & 104.8 & 103.161107180509 & 6.22657176721205 & 100.212321052278 & -1.63889281949054 \tabularnewline
7 & 86.8 & 82.9305783055471 & -9.1459717380513 & 99.8153934325042 & -3.86942169445287 \tabularnewline
8 & 92 & 92.9738906891238 & -8.42239679669553 & 99.4485061075717 & 0.97389068912382 \tabularnewline
9 & 100.2 & 94.8672019456966 & 6.45117927166415 & 99.0816187826392 & -5.33279805430338 \tabularnewline
10 & 106.6 & 106.269023003844 & 7.91044708560312 & 99.0205299105526 & -0.330976996155712 \tabularnewline
11 & 102.1 & 103.660842207551 & 1.57971675398323 & 98.959441038466 & 1.56084220755082 \tabularnewline
12 & 93.7 & 90.7000776072938 & -2.51668662086836 & 99.2166090135746 & -2.99992239270624 \tabularnewline
13 & 97.6 & 99.0892789573869 & -3.36305594607018 & 99.4737769886833 & 1.48927895738687 \tabularnewline
14 & 96.9 & 97.2364384019576 & -3.22353761600566 & 99.787099214048 & 0.336438401957608 \tabularnewline
15 & 105.6 & 103.938142894261 & 7.16143566632576 & 100.100421439413 & -1.66185710573856 \tabularnewline
16 & 102.8 & 106.044442821558 & -0.836815305776498 & 100.392372484219 & 3.24444282155766 \tabularnewline
17 & 101.7 & 104.536563052941 & -1.82088658196619 & 100.684323529025 & 2.83656305294132 \tabularnewline
18 & 104.2 & 101.274826341541 & 6.22657176721205 & 100.898601891247 & -2.9251736584588 \tabularnewline
19 & 92.7 & 93.4330914845827 & -9.1459717380513 & 101.112880253469 & 0.733091484582658 \tabularnewline
20 & 91.9 & 91.01047977438 & -8.42239679669553 & 101.211917022316 & -0.88952022562006 \tabularnewline
21 & 106.5 & 105.237866937173 & 6.45117927166415 & 101.310953791163 & -1.26213306282668 \tabularnewline
22 & 112.3 & 115.373700618033 & 7.91044708560312 & 101.315852296364 & 3.07370061803303 \tabularnewline
23 & 102.8 & 102.699532444452 & 1.57971675398323 & 101.320750801565 & -0.10046755554842 \tabularnewline
24 & 96.5 & 94.2125742204952 & -2.51668662086836 & 101.304112400373 & -2.28742577950484 \tabularnewline
25 & 101 & 104.075581946889 & -3.36305594607018 & 101.287473999181 & 3.07558194688895 \tabularnewline
26 & 98.9 & 99.738785930955 & -3.22353761600566 & 101.284751685051 & 0.838785930955083 \tabularnewline
27 & 105.1 & 101.756534962754 & 7.16143566632576 & 101.28202937092 & -3.34346503724569 \tabularnewline
28 & 103 & 105.553150237059 & -0.836815305776498 & 101.283665068718 & 2.55315023705897 \tabularnewline
29 & 99 & 98.535585815451 & -1.82088658196619 & 101.285300766515 & -0.464414184548929 \tabularnewline
30 & 104.3 & 101.026824790725 & 6.22657176721205 & 101.346603442063 & -3.2731752092746 \tabularnewline
31 & 94.6 & 96.9380656204413 & -9.1459717380513 & 101.40790611761 & 2.33806562044133 \tabularnewline
32 & 90.4 & 87.6469047357679 & -8.42239679669553 & 101.575492060928 & -2.75309526423214 \tabularnewline
33 & 108.9 & 109.605742724091 & 6.45117927166415 & 101.743078004245 & 0.705742724090499 \tabularnewline
34 & 111.4 & 112.869281327449 & 7.91044708560312 & 102.020271586948 & 1.46928132744907 \tabularnewline
35 & 100.8 & 97.7228180763665 & 1.57971675398323 & 102.29746516965 & -3.07718192363353 \tabularnewline
36 & 102.5 & 104.866381763956 & -2.51668662086836 & 102.650304856913 & 2.36638176395556 \tabularnewline
37 & 98.2 & 96.7599114018948 & -3.36305594607018 & 103.003144544175 & -1.44008859810516 \tabularnewline
38 & 98.7 & 97.202089143207 & -3.22353761600566 & 103.421448472799 & -1.49791085679311 \tabularnewline
39 & 113.3 & 115.598811932252 & 7.16143566632576 & 103.839752401422 & 2.29881193225204 \tabularnewline
40 & 104.6 & 105.791858802807 & -0.836815305776498 & 104.244956502969 & 1.19185880280705 \tabularnewline
41 & 99.3 & 95.7707259774495 & -1.82088658196619 & 104.650160604517 & -3.52927402255048 \tabularnewline
42 & 111.8 & 112.416221759798 & 6.22657176721205 & 104.95720647299 & 0.616221759797511 \tabularnewline
43 & 97.3 & 98.481719396587 & -9.1459717380513 & 105.264252341464 & 1.18171939658711 \tabularnewline
44 & 97.7 & 98.4968636359493 & -8.42239679669553 & 105.325533160746 & 0.796863635949322 \tabularnewline
45 & 115.6 & 119.362006748308 & 6.45117927166415 & 105.386813980028 & 3.76200674830761 \tabularnewline
46 & 111.9 & 110.618216226589 & 7.91044708560312 & 105.271336687808 & -1.28178377341062 \tabularnewline
47 & 107 & 107.26442385043 & 1.57971675398323 & 105.155859395587 & 0.264423850429978 \tabularnewline
48 & 107.1 & 111.7399070658 & -2.51668662086836 & 104.976779555069 & 4.63990706579963 \tabularnewline
49 & 100.6 & 99.7653562315195 & -3.36305594607018 & 104.797699714551 & -0.834643768480504 \tabularnewline
50 & 99.2 & 97.0418230435992 & -3.22353761600566 & 104.581714572406 & -2.15817695640081 \tabularnewline
51 & 108.4 & 105.272834903412 & 7.16143566632576 & 104.365729430262 & -3.12716509658803 \tabularnewline
52 & 103 & 102.515986687714 & -0.836815305776498 & 104.320828618062 & -0.484013312285583 \tabularnewline
53 & 99.8 & 97.1449587761043 & -1.82088658196619 & 104.275927805862 & -2.65504122389569 \tabularnewline
54 & 115 & 119.205883871517 & 6.22657176721205 & 104.567544361271 & 4.20588387151703 \tabularnewline
55 & 90.8 & 85.8868108213713 & -9.1459717380513 & 104.85916091668 & -4.91318917862866 \tabularnewline
56 & 95.9 & 94.8309473163556 & -8.42239679669553 & 105.39144948034 & -1.06905268364443 \tabularnewline
57 & 114.4 & 116.425082684336 & 6.45117927166415 & 105.923738044 & 2.02508268433589 \tabularnewline
58 & 108.2 & 101.982430590535 & 7.91044708560312 & 106.507122323862 & -6.21756940946491 \tabularnewline
59 & 112.6 & 116.529776642293 & 1.57971675398323 & 107.090506603724 & 3.92977664229313 \tabularnewline
60 & 109.1 & 113.117067079578 & -2.51668662086836 & 107.59961954129 & 4.01706707957814 \tabularnewline
61 & 105 & 105.254323467213 & -3.36305594607018 & 108.108732478857 & 0.254323467213339 \tabularnewline
62 & 105 & 104.687213341271 & -3.22353761600566 & 108.536324274734 & -0.312786658728612 \tabularnewline
63 & 118.5 & 120.874648263063 & 7.16143566632576 & 108.963916070612 & 2.37464826306254 \tabularnewline
64 & 103.7 & 98.94171524087 & -0.836815305776498 & 109.295100064907 & -4.75828475913004 \tabularnewline
65 & 112.5 & 117.194602522765 & -1.82088658196619 & 109.626284059201 & 4.69460252276482 \tabularnewline
66 & 116.6 & 117.048596558402 & 6.22657176721205 & 109.924831674386 & 0.448596558402357 \tabularnewline
67 & 96.6 & 92.1225924484815 & -9.1459717380513 & 110.22337928957 & -4.47740755151851 \tabularnewline
68 & 101.9 & 101.652838846053 & -8.42239679669553 & 110.569557950642 & -0.247161153946919 \tabularnewline
69 & 116.5 & 115.633084116621 & 6.45117927166415 & 110.915736611715 & -0.866915883379235 \tabularnewline
70 & 119.3 & 119.437927012869 & 7.91044708560312 & 111.251625901528 & 0.137927012868715 \tabularnewline
71 & 115.4 & 117.632768054676 & 1.57971675398323 & 111.587515191341 & 2.23276805467553 \tabularnewline
72 & 108.5 & 107.607752647242 & -2.51668662086836 & 111.908933973626 & -0.89224735275792 \tabularnewline
73 & 111.5 & 114.132703190159 & -3.36305594607018 & 112.230352755911 & 2.63270319015885 \tabularnewline
74 & 108.8 & 108.345956902889 & -3.22353761600566 & 112.477580713116 & -0.454043097110628 \tabularnewline
75 & 121.8 & 123.713755663353 & 7.16143566632576 & 112.724808670321 & 1.91375566335302 \tabularnewline
76 & 109.6 & 107.192895465867 & -0.836815305776498 & 112.84391983991 & -2.40710453413328 \tabularnewline
77 & 112.2 & 113.257855572468 & -1.82088658196619 & 112.963031009498 & 1.05785557246786 \tabularnewline
78 & 119.6 & 119.868956920226 & 6.22657176721205 & 113.104471312562 & 0.268956920226444 \tabularnewline
79 & 104.1 & 104.100060122427 & -9.1459717380513 & 113.245911615625 & 6.01224266318923e-05 \tabularnewline
80 & 105.3 & 105.555672970987 & -8.42239679669553 & 113.466723825709 & 0.255672970987007 \tabularnewline
81 & 115 & 109.861284692543 & 6.45117927166415 & 113.687536035792 & -5.13871530745651 \tabularnewline
82 & 124.1 & 126.375309118494 & 7.91044708560312 & 113.914243795903 & 2.27530911849357 \tabularnewline
83 & 116.8 & 117.879331690002 & 1.57971675398323 & 114.140951556014 & 1.07933169000249 \tabularnewline
84 & 107.5 & 103.227042666355 & -2.51668662086836 & 114.289643954513 & -4.2729573336448 \tabularnewline
85 & 115.6 & 120.124719593058 & -3.36305594607018 & 114.438336353012 & 4.52471959305809 \tabularnewline
86 & 116.2 & 121.172602021684 & -3.22353761600566 & 114.450935594321 & 4.97260202168434 \tabularnewline
87 & 116.3 & 110.975029498044 & 7.16143566632576 & 114.463534835631 & -5.32497050195634 \tabularnewline
88 & 119 & 124.782537577832 & -0.836815305776498 & 114.054277727944 & 5.78253757783204 \tabularnewline
89 & 111.9 & 111.975865961708 & -1.82088658196619 & 113.645020620258 & 0.075865961707862 \tabularnewline
90 & 118.6 & 118.368657065871 & 6.22657176721205 & 112.604771166917 & -0.231342934129245 \tabularnewline
91 & 106.9 & 111.381450024475 & -9.1459717380513 & 111.564521713576 & 4.48145002447527 \tabularnewline
92 & 103.2 & 104.793842386091 & -8.42239679669553 & 110.028554410605 & 1.59384238609073 \tabularnewline
93 & 118.6 & 122.256233620702 & 6.45117927166415 & 108.492587107634 & 3.6562336207023 \tabularnewline
94 & 118.7 & 122.710573028355 & 7.91044708560312 & 106.778979886042 & 4.01057302835459 \tabularnewline
95 & 102.8 & 98.9549105815657 & 1.57971675398323 & 105.065372664451 & -3.8450894184343 \tabularnewline
96 & 100.6 & 100.247556355072 & -2.51668662086836 & 103.469130265796 & -0.352443644927931 \tabularnewline
97 & 94.9 & 91.2901680789287 & -3.36305594607018 & 101.872887867142 & -3.60983192107135 \tabularnewline
98 & 94.5 & 91.5951931702332 & -3.22353761600566 & 100.628344445772 & -2.90480682976677 \tabularnewline
99 & 102.9 & 99.254763309271 & 7.16143566632576 & 99.3838010244033 & -3.64523669072908 \tabularnewline
100 & 95.3 & 92.812062947814 & -0.836815305776498 & 98.6247523579624 & -2.48793705218596 \tabularnewline
101 & 92.5 & 88.9551828904446 & -1.82088658196619 & 97.8657036915216 & -3.5448171095554 \tabularnewline
102 & 102.7 & 101.598655735028 & 6.22657176721205 & 97.5747724977601 & -1.10134426497216 \tabularnewline
103 & 91.5 & 94.8621304340527 & -9.1459717380513 & 97.2838413039986 & 3.36213043405267 \tabularnewline
104 & 89.5 & 89.966503675772 & -8.42239679669553 & 97.4558931209235 & 0.466503675771975 \tabularnewline
105 & 104.2 & 104.320875790487 & 6.45117927166415 & 97.6279449378485 & 0.120875790487389 \tabularnewline
106 & 105.2 & 104.330981297541 & 7.91044708560312 & 98.1585716168558 & -0.869018702458916 \tabularnewline
107 & 99 & 97.7310849501536 & 1.57971675398323 & 98.6891982958632 & -1.26891504984638 \tabularnewline
108 & 95.5 & 94.131794696148 & -2.51668662086836 & 99.3848919247204 & -1.36820530385204 \tabularnewline
109 & 90.5 & 84.2824703924925 & -3.36305594607018 & 100.080585553578 & -6.21752960750749 \tabularnewline
110 & 96.1 & 94.566482467135 & -3.22353761600566 & 100.857055148871 & -1.53351753286496 \tabularnewline
111 & 113 & 117.205039589511 & 7.16143566632576 & 101.633524744164 & 4.20503958951068 \tabularnewline
112 & 101.9 & 102.12553924281 & -0.836815305776498 & 102.511276062967 & 0.225539242809788 \tabularnewline
113 & 101.4 & 101.231859200196 & -1.82088658196619 & 103.38902738177 & -0.168140799803652 \tabularnewline
114 & 113.6 & 116.763221062534 & 6.22657176721205 & 104.210207170254 & 3.16322106253395 \tabularnewline
115 & 96.6 & 97.3145847793131 & -9.1459717380513 & 105.031386958738 & 0.714584779313142 \tabularnewline
116 & 97.8 & 98.1419724255337 & -8.42239679669553 & 105.880424371162 & 0.341972425533683 \tabularnewline
117 & 114.9 & 116.61935894475 & 6.45117927166415 & 106.729461783586 & 1.71935894475033 \tabularnewline
118 & 112.5 & 109.516675698336 & 7.91044708560312 & 107.572877216061 & -2.98332430166414 \tabularnewline
119 & 108.4 & 106.80399059748 & 1.57971675398323 & 108.416292648537 & -1.59600940251975 \tabularnewline
120 & 107 & 107.286069267529 & -2.51668662086836 & 109.23061735334 & 0.286069267528688 \tabularnewline
121 & 103.5 & 100.318113887927 & -3.36305594607018 & 110.044942058143 & -3.18188611207265 \tabularnewline
122 & 107.5 & 107.374960081745 & -3.22353761600566 & 110.848577534261 & -0.12503991825524 \tabularnewline
123 & 122.3 & 125.786351323295 & 7.16143566632576 & 111.652213010379 & 3.48635132329528 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149937&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]101.5[/C][C]103.844003052029[/C][C]-3.36305594607018[/C][C]102.519052894042[/C][C]2.34400305202851[/C][/ROW]
[ROW][C]2[/C][C]100.7[/C][C]102.613731370649[/C][C]-3.22353761600566[/C][C]102.009806245357[/C][C]1.91373137064872[/C][/ROW]
[ROW][C]3[/C][C]110.6[/C][C]112.538004737002[/C][C]7.16143566632576[/C][C]101.500559596672[/C][C]1.938004737002[/C][/ROW]
[ROW][C]4[/C][C]96.8[/C][C]93.381911171414[/C][C]-0.836815305776498[/C][C]101.054904134363[/C][C]-3.41808882858602[/C][/ROW]
[ROW][C]5[/C][C]100[/C][C]101.211637909913[/C][C]-1.82088658196619[/C][C]100.609248672053[/C][C]1.21163790991339[/C][/ROW]
[ROW][C]6[/C][C]104.8[/C][C]103.161107180509[/C][C]6.22657176721205[/C][C]100.212321052278[/C][C]-1.63889281949054[/C][/ROW]
[ROW][C]7[/C][C]86.8[/C][C]82.9305783055471[/C][C]-9.1459717380513[/C][C]99.8153934325042[/C][C]-3.86942169445287[/C][/ROW]
[ROW][C]8[/C][C]92[/C][C]92.9738906891238[/C][C]-8.42239679669553[/C][C]99.4485061075717[/C][C]0.97389068912382[/C][/ROW]
[ROW][C]9[/C][C]100.2[/C][C]94.8672019456966[/C][C]6.45117927166415[/C][C]99.0816187826392[/C][C]-5.33279805430338[/C][/ROW]
[ROW][C]10[/C][C]106.6[/C][C]106.269023003844[/C][C]7.91044708560312[/C][C]99.0205299105526[/C][C]-0.330976996155712[/C][/ROW]
[ROW][C]11[/C][C]102.1[/C][C]103.660842207551[/C][C]1.57971675398323[/C][C]98.959441038466[/C][C]1.56084220755082[/C][/ROW]
[ROW][C]12[/C][C]93.7[/C][C]90.7000776072938[/C][C]-2.51668662086836[/C][C]99.2166090135746[/C][C]-2.99992239270624[/C][/ROW]
[ROW][C]13[/C][C]97.6[/C][C]99.0892789573869[/C][C]-3.36305594607018[/C][C]99.4737769886833[/C][C]1.48927895738687[/C][/ROW]
[ROW][C]14[/C][C]96.9[/C][C]97.2364384019576[/C][C]-3.22353761600566[/C][C]99.787099214048[/C][C]0.336438401957608[/C][/ROW]
[ROW][C]15[/C][C]105.6[/C][C]103.938142894261[/C][C]7.16143566632576[/C][C]100.100421439413[/C][C]-1.66185710573856[/C][/ROW]
[ROW][C]16[/C][C]102.8[/C][C]106.044442821558[/C][C]-0.836815305776498[/C][C]100.392372484219[/C][C]3.24444282155766[/C][/ROW]
[ROW][C]17[/C][C]101.7[/C][C]104.536563052941[/C][C]-1.82088658196619[/C][C]100.684323529025[/C][C]2.83656305294132[/C][/ROW]
[ROW][C]18[/C][C]104.2[/C][C]101.274826341541[/C][C]6.22657176721205[/C][C]100.898601891247[/C][C]-2.9251736584588[/C][/ROW]
[ROW][C]19[/C][C]92.7[/C][C]93.4330914845827[/C][C]-9.1459717380513[/C][C]101.112880253469[/C][C]0.733091484582658[/C][/ROW]
[ROW][C]20[/C][C]91.9[/C][C]91.01047977438[/C][C]-8.42239679669553[/C][C]101.211917022316[/C][C]-0.88952022562006[/C][/ROW]
[ROW][C]21[/C][C]106.5[/C][C]105.237866937173[/C][C]6.45117927166415[/C][C]101.310953791163[/C][C]-1.26213306282668[/C][/ROW]
[ROW][C]22[/C][C]112.3[/C][C]115.373700618033[/C][C]7.91044708560312[/C][C]101.315852296364[/C][C]3.07370061803303[/C][/ROW]
[ROW][C]23[/C][C]102.8[/C][C]102.699532444452[/C][C]1.57971675398323[/C][C]101.320750801565[/C][C]-0.10046755554842[/C][/ROW]
[ROW][C]24[/C][C]96.5[/C][C]94.2125742204952[/C][C]-2.51668662086836[/C][C]101.304112400373[/C][C]-2.28742577950484[/C][/ROW]
[ROW][C]25[/C][C]101[/C][C]104.075581946889[/C][C]-3.36305594607018[/C][C]101.287473999181[/C][C]3.07558194688895[/C][/ROW]
[ROW][C]26[/C][C]98.9[/C][C]99.738785930955[/C][C]-3.22353761600566[/C][C]101.284751685051[/C][C]0.838785930955083[/C][/ROW]
[ROW][C]27[/C][C]105.1[/C][C]101.756534962754[/C][C]7.16143566632576[/C][C]101.28202937092[/C][C]-3.34346503724569[/C][/ROW]
[ROW][C]28[/C][C]103[/C][C]105.553150237059[/C][C]-0.836815305776498[/C][C]101.283665068718[/C][C]2.55315023705897[/C][/ROW]
[ROW][C]29[/C][C]99[/C][C]98.535585815451[/C][C]-1.82088658196619[/C][C]101.285300766515[/C][C]-0.464414184548929[/C][/ROW]
[ROW][C]30[/C][C]104.3[/C][C]101.026824790725[/C][C]6.22657176721205[/C][C]101.346603442063[/C][C]-3.2731752092746[/C][/ROW]
[ROW][C]31[/C][C]94.6[/C][C]96.9380656204413[/C][C]-9.1459717380513[/C][C]101.40790611761[/C][C]2.33806562044133[/C][/ROW]
[ROW][C]32[/C][C]90.4[/C][C]87.6469047357679[/C][C]-8.42239679669553[/C][C]101.575492060928[/C][C]-2.75309526423214[/C][/ROW]
[ROW][C]33[/C][C]108.9[/C][C]109.605742724091[/C][C]6.45117927166415[/C][C]101.743078004245[/C][C]0.705742724090499[/C][/ROW]
[ROW][C]34[/C][C]111.4[/C][C]112.869281327449[/C][C]7.91044708560312[/C][C]102.020271586948[/C][C]1.46928132744907[/C][/ROW]
[ROW][C]35[/C][C]100.8[/C][C]97.7228180763665[/C][C]1.57971675398323[/C][C]102.29746516965[/C][C]-3.07718192363353[/C][/ROW]
[ROW][C]36[/C][C]102.5[/C][C]104.866381763956[/C][C]-2.51668662086836[/C][C]102.650304856913[/C][C]2.36638176395556[/C][/ROW]
[ROW][C]37[/C][C]98.2[/C][C]96.7599114018948[/C][C]-3.36305594607018[/C][C]103.003144544175[/C][C]-1.44008859810516[/C][/ROW]
[ROW][C]38[/C][C]98.7[/C][C]97.202089143207[/C][C]-3.22353761600566[/C][C]103.421448472799[/C][C]-1.49791085679311[/C][/ROW]
[ROW][C]39[/C][C]113.3[/C][C]115.598811932252[/C][C]7.16143566632576[/C][C]103.839752401422[/C][C]2.29881193225204[/C][/ROW]
[ROW][C]40[/C][C]104.6[/C][C]105.791858802807[/C][C]-0.836815305776498[/C][C]104.244956502969[/C][C]1.19185880280705[/C][/ROW]
[ROW][C]41[/C][C]99.3[/C][C]95.7707259774495[/C][C]-1.82088658196619[/C][C]104.650160604517[/C][C]-3.52927402255048[/C][/ROW]
[ROW][C]42[/C][C]111.8[/C][C]112.416221759798[/C][C]6.22657176721205[/C][C]104.95720647299[/C][C]0.616221759797511[/C][/ROW]
[ROW][C]43[/C][C]97.3[/C][C]98.481719396587[/C][C]-9.1459717380513[/C][C]105.264252341464[/C][C]1.18171939658711[/C][/ROW]
[ROW][C]44[/C][C]97.7[/C][C]98.4968636359493[/C][C]-8.42239679669553[/C][C]105.325533160746[/C][C]0.796863635949322[/C][/ROW]
[ROW][C]45[/C][C]115.6[/C][C]119.362006748308[/C][C]6.45117927166415[/C][C]105.386813980028[/C][C]3.76200674830761[/C][/ROW]
[ROW][C]46[/C][C]111.9[/C][C]110.618216226589[/C][C]7.91044708560312[/C][C]105.271336687808[/C][C]-1.28178377341062[/C][/ROW]
[ROW][C]47[/C][C]107[/C][C]107.26442385043[/C][C]1.57971675398323[/C][C]105.155859395587[/C][C]0.264423850429978[/C][/ROW]
[ROW][C]48[/C][C]107.1[/C][C]111.7399070658[/C][C]-2.51668662086836[/C][C]104.976779555069[/C][C]4.63990706579963[/C][/ROW]
[ROW][C]49[/C][C]100.6[/C][C]99.7653562315195[/C][C]-3.36305594607018[/C][C]104.797699714551[/C][C]-0.834643768480504[/C][/ROW]
[ROW][C]50[/C][C]99.2[/C][C]97.0418230435992[/C][C]-3.22353761600566[/C][C]104.581714572406[/C][C]-2.15817695640081[/C][/ROW]
[ROW][C]51[/C][C]108.4[/C][C]105.272834903412[/C][C]7.16143566632576[/C][C]104.365729430262[/C][C]-3.12716509658803[/C][/ROW]
[ROW][C]52[/C][C]103[/C][C]102.515986687714[/C][C]-0.836815305776498[/C][C]104.320828618062[/C][C]-0.484013312285583[/C][/ROW]
[ROW][C]53[/C][C]99.8[/C][C]97.1449587761043[/C][C]-1.82088658196619[/C][C]104.275927805862[/C][C]-2.65504122389569[/C][/ROW]
[ROW][C]54[/C][C]115[/C][C]119.205883871517[/C][C]6.22657176721205[/C][C]104.567544361271[/C][C]4.20588387151703[/C][/ROW]
[ROW][C]55[/C][C]90.8[/C][C]85.8868108213713[/C][C]-9.1459717380513[/C][C]104.85916091668[/C][C]-4.91318917862866[/C][/ROW]
[ROW][C]56[/C][C]95.9[/C][C]94.8309473163556[/C][C]-8.42239679669553[/C][C]105.39144948034[/C][C]-1.06905268364443[/C][/ROW]
[ROW][C]57[/C][C]114.4[/C][C]116.425082684336[/C][C]6.45117927166415[/C][C]105.923738044[/C][C]2.02508268433589[/C][/ROW]
[ROW][C]58[/C][C]108.2[/C][C]101.982430590535[/C][C]7.91044708560312[/C][C]106.507122323862[/C][C]-6.21756940946491[/C][/ROW]
[ROW][C]59[/C][C]112.6[/C][C]116.529776642293[/C][C]1.57971675398323[/C][C]107.090506603724[/C][C]3.92977664229313[/C][/ROW]
[ROW][C]60[/C][C]109.1[/C][C]113.117067079578[/C][C]-2.51668662086836[/C][C]107.59961954129[/C][C]4.01706707957814[/C][/ROW]
[ROW][C]61[/C][C]105[/C][C]105.254323467213[/C][C]-3.36305594607018[/C][C]108.108732478857[/C][C]0.254323467213339[/C][/ROW]
[ROW][C]62[/C][C]105[/C][C]104.687213341271[/C][C]-3.22353761600566[/C][C]108.536324274734[/C][C]-0.312786658728612[/C][/ROW]
[ROW][C]63[/C][C]118.5[/C][C]120.874648263063[/C][C]7.16143566632576[/C][C]108.963916070612[/C][C]2.37464826306254[/C][/ROW]
[ROW][C]64[/C][C]103.7[/C][C]98.94171524087[/C][C]-0.836815305776498[/C][C]109.295100064907[/C][C]-4.75828475913004[/C][/ROW]
[ROW][C]65[/C][C]112.5[/C][C]117.194602522765[/C][C]-1.82088658196619[/C][C]109.626284059201[/C][C]4.69460252276482[/C][/ROW]
[ROW][C]66[/C][C]116.6[/C][C]117.048596558402[/C][C]6.22657176721205[/C][C]109.924831674386[/C][C]0.448596558402357[/C][/ROW]
[ROW][C]67[/C][C]96.6[/C][C]92.1225924484815[/C][C]-9.1459717380513[/C][C]110.22337928957[/C][C]-4.47740755151851[/C][/ROW]
[ROW][C]68[/C][C]101.9[/C][C]101.652838846053[/C][C]-8.42239679669553[/C][C]110.569557950642[/C][C]-0.247161153946919[/C][/ROW]
[ROW][C]69[/C][C]116.5[/C][C]115.633084116621[/C][C]6.45117927166415[/C][C]110.915736611715[/C][C]-0.866915883379235[/C][/ROW]
[ROW][C]70[/C][C]119.3[/C][C]119.437927012869[/C][C]7.91044708560312[/C][C]111.251625901528[/C][C]0.137927012868715[/C][/ROW]
[ROW][C]71[/C][C]115.4[/C][C]117.632768054676[/C][C]1.57971675398323[/C][C]111.587515191341[/C][C]2.23276805467553[/C][/ROW]
[ROW][C]72[/C][C]108.5[/C][C]107.607752647242[/C][C]-2.51668662086836[/C][C]111.908933973626[/C][C]-0.89224735275792[/C][/ROW]
[ROW][C]73[/C][C]111.5[/C][C]114.132703190159[/C][C]-3.36305594607018[/C][C]112.230352755911[/C][C]2.63270319015885[/C][/ROW]
[ROW][C]74[/C][C]108.8[/C][C]108.345956902889[/C][C]-3.22353761600566[/C][C]112.477580713116[/C][C]-0.454043097110628[/C][/ROW]
[ROW][C]75[/C][C]121.8[/C][C]123.713755663353[/C][C]7.16143566632576[/C][C]112.724808670321[/C][C]1.91375566335302[/C][/ROW]
[ROW][C]76[/C][C]109.6[/C][C]107.192895465867[/C][C]-0.836815305776498[/C][C]112.84391983991[/C][C]-2.40710453413328[/C][/ROW]
[ROW][C]77[/C][C]112.2[/C][C]113.257855572468[/C][C]-1.82088658196619[/C][C]112.963031009498[/C][C]1.05785557246786[/C][/ROW]
[ROW][C]78[/C][C]119.6[/C][C]119.868956920226[/C][C]6.22657176721205[/C][C]113.104471312562[/C][C]0.268956920226444[/C][/ROW]
[ROW][C]79[/C][C]104.1[/C][C]104.100060122427[/C][C]-9.1459717380513[/C][C]113.245911615625[/C][C]6.01224266318923e-05[/C][/ROW]
[ROW][C]80[/C][C]105.3[/C][C]105.555672970987[/C][C]-8.42239679669553[/C][C]113.466723825709[/C][C]0.255672970987007[/C][/ROW]
[ROW][C]81[/C][C]115[/C][C]109.861284692543[/C][C]6.45117927166415[/C][C]113.687536035792[/C][C]-5.13871530745651[/C][/ROW]
[ROW][C]82[/C][C]124.1[/C][C]126.375309118494[/C][C]7.91044708560312[/C][C]113.914243795903[/C][C]2.27530911849357[/C][/ROW]
[ROW][C]83[/C][C]116.8[/C][C]117.879331690002[/C][C]1.57971675398323[/C][C]114.140951556014[/C][C]1.07933169000249[/C][/ROW]
[ROW][C]84[/C][C]107.5[/C][C]103.227042666355[/C][C]-2.51668662086836[/C][C]114.289643954513[/C][C]-4.2729573336448[/C][/ROW]
[ROW][C]85[/C][C]115.6[/C][C]120.124719593058[/C][C]-3.36305594607018[/C][C]114.438336353012[/C][C]4.52471959305809[/C][/ROW]
[ROW][C]86[/C][C]116.2[/C][C]121.172602021684[/C][C]-3.22353761600566[/C][C]114.450935594321[/C][C]4.97260202168434[/C][/ROW]
[ROW][C]87[/C][C]116.3[/C][C]110.975029498044[/C][C]7.16143566632576[/C][C]114.463534835631[/C][C]-5.32497050195634[/C][/ROW]
[ROW][C]88[/C][C]119[/C][C]124.782537577832[/C][C]-0.836815305776498[/C][C]114.054277727944[/C][C]5.78253757783204[/C][/ROW]
[ROW][C]89[/C][C]111.9[/C][C]111.975865961708[/C][C]-1.82088658196619[/C][C]113.645020620258[/C][C]0.075865961707862[/C][/ROW]
[ROW][C]90[/C][C]118.6[/C][C]118.368657065871[/C][C]6.22657176721205[/C][C]112.604771166917[/C][C]-0.231342934129245[/C][/ROW]
[ROW][C]91[/C][C]106.9[/C][C]111.381450024475[/C][C]-9.1459717380513[/C][C]111.564521713576[/C][C]4.48145002447527[/C][/ROW]
[ROW][C]92[/C][C]103.2[/C][C]104.793842386091[/C][C]-8.42239679669553[/C][C]110.028554410605[/C][C]1.59384238609073[/C][/ROW]
[ROW][C]93[/C][C]118.6[/C][C]122.256233620702[/C][C]6.45117927166415[/C][C]108.492587107634[/C][C]3.6562336207023[/C][/ROW]
[ROW][C]94[/C][C]118.7[/C][C]122.710573028355[/C][C]7.91044708560312[/C][C]106.778979886042[/C][C]4.01057302835459[/C][/ROW]
[ROW][C]95[/C][C]102.8[/C][C]98.9549105815657[/C][C]1.57971675398323[/C][C]105.065372664451[/C][C]-3.8450894184343[/C][/ROW]
[ROW][C]96[/C][C]100.6[/C][C]100.247556355072[/C][C]-2.51668662086836[/C][C]103.469130265796[/C][C]-0.352443644927931[/C][/ROW]
[ROW][C]97[/C][C]94.9[/C][C]91.2901680789287[/C][C]-3.36305594607018[/C][C]101.872887867142[/C][C]-3.60983192107135[/C][/ROW]
[ROW][C]98[/C][C]94.5[/C][C]91.5951931702332[/C][C]-3.22353761600566[/C][C]100.628344445772[/C][C]-2.90480682976677[/C][/ROW]
[ROW][C]99[/C][C]102.9[/C][C]99.254763309271[/C][C]7.16143566632576[/C][C]99.3838010244033[/C][C]-3.64523669072908[/C][/ROW]
[ROW][C]100[/C][C]95.3[/C][C]92.812062947814[/C][C]-0.836815305776498[/C][C]98.6247523579624[/C][C]-2.48793705218596[/C][/ROW]
[ROW][C]101[/C][C]92.5[/C][C]88.9551828904446[/C][C]-1.82088658196619[/C][C]97.8657036915216[/C][C]-3.5448171095554[/C][/ROW]
[ROW][C]102[/C][C]102.7[/C][C]101.598655735028[/C][C]6.22657176721205[/C][C]97.5747724977601[/C][C]-1.10134426497216[/C][/ROW]
[ROW][C]103[/C][C]91.5[/C][C]94.8621304340527[/C][C]-9.1459717380513[/C][C]97.2838413039986[/C][C]3.36213043405267[/C][/ROW]
[ROW][C]104[/C][C]89.5[/C][C]89.966503675772[/C][C]-8.42239679669553[/C][C]97.4558931209235[/C][C]0.466503675771975[/C][/ROW]
[ROW][C]105[/C][C]104.2[/C][C]104.320875790487[/C][C]6.45117927166415[/C][C]97.6279449378485[/C][C]0.120875790487389[/C][/ROW]
[ROW][C]106[/C][C]105.2[/C][C]104.330981297541[/C][C]7.91044708560312[/C][C]98.1585716168558[/C][C]-0.869018702458916[/C][/ROW]
[ROW][C]107[/C][C]99[/C][C]97.7310849501536[/C][C]1.57971675398323[/C][C]98.6891982958632[/C][C]-1.26891504984638[/C][/ROW]
[ROW][C]108[/C][C]95.5[/C][C]94.131794696148[/C][C]-2.51668662086836[/C][C]99.3848919247204[/C][C]-1.36820530385204[/C][/ROW]
[ROW][C]109[/C][C]90.5[/C][C]84.2824703924925[/C][C]-3.36305594607018[/C][C]100.080585553578[/C][C]-6.21752960750749[/C][/ROW]
[ROW][C]110[/C][C]96.1[/C][C]94.566482467135[/C][C]-3.22353761600566[/C][C]100.857055148871[/C][C]-1.53351753286496[/C][/ROW]
[ROW][C]111[/C][C]113[/C][C]117.205039589511[/C][C]7.16143566632576[/C][C]101.633524744164[/C][C]4.20503958951068[/C][/ROW]
[ROW][C]112[/C][C]101.9[/C][C]102.12553924281[/C][C]-0.836815305776498[/C][C]102.511276062967[/C][C]0.225539242809788[/C][/ROW]
[ROW][C]113[/C][C]101.4[/C][C]101.231859200196[/C][C]-1.82088658196619[/C][C]103.38902738177[/C][C]-0.168140799803652[/C][/ROW]
[ROW][C]114[/C][C]113.6[/C][C]116.763221062534[/C][C]6.22657176721205[/C][C]104.210207170254[/C][C]3.16322106253395[/C][/ROW]
[ROW][C]115[/C][C]96.6[/C][C]97.3145847793131[/C][C]-9.1459717380513[/C][C]105.031386958738[/C][C]0.714584779313142[/C][/ROW]
[ROW][C]116[/C][C]97.8[/C][C]98.1419724255337[/C][C]-8.42239679669553[/C][C]105.880424371162[/C][C]0.341972425533683[/C][/ROW]
[ROW][C]117[/C][C]114.9[/C][C]116.61935894475[/C][C]6.45117927166415[/C][C]106.729461783586[/C][C]1.71935894475033[/C][/ROW]
[ROW][C]118[/C][C]112.5[/C][C]109.516675698336[/C][C]7.91044708560312[/C][C]107.572877216061[/C][C]-2.98332430166414[/C][/ROW]
[ROW][C]119[/C][C]108.4[/C][C]106.80399059748[/C][C]1.57971675398323[/C][C]108.416292648537[/C][C]-1.59600940251975[/C][/ROW]
[ROW][C]120[/C][C]107[/C][C]107.286069267529[/C][C]-2.51668662086836[/C][C]109.23061735334[/C][C]0.286069267528688[/C][/ROW]
[ROW][C]121[/C][C]103.5[/C][C]100.318113887927[/C][C]-3.36305594607018[/C][C]110.044942058143[/C][C]-3.18188611207265[/C][/ROW]
[ROW][C]122[/C][C]107.5[/C][C]107.374960081745[/C][C]-3.22353761600566[/C][C]110.848577534261[/C][C]-0.12503991825524[/C][/ROW]
[ROW][C]123[/C][C]122.3[/C][C]125.786351323295[/C][C]7.16143566632576[/C][C]111.652213010379[/C][C]3.48635132329528[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149937&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149937&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
1101.5103.844003052029-3.36305594607018102.5190528940422.34400305202851
2100.7102.613731370649-3.22353761600566102.0098062453571.91373137064872
3110.6112.5380047370027.16143566632576101.5005595966721.938004737002
496.893.381911171414-0.836815305776498101.054904134363-3.41808882858602
5100101.211637909913-1.82088658196619100.6092486720531.21163790991339
6104.8103.1611071805096.22657176721205100.212321052278-1.63889281949054
786.882.9305783055471-9.145971738051399.8153934325042-3.86942169445287
89292.9738906891238-8.4223967966955399.44850610757170.97389068912382
9100.294.86720194569666.4511792716641599.0816187826392-5.33279805430338
10106.6106.2690230038447.9104470856031299.0205299105526-0.330976996155712
11102.1103.6608422075511.5797167539832398.9594410384661.56084220755082
1293.790.7000776072938-2.5166866208683699.2166090135746-2.99992239270624
1397.699.0892789573869-3.3630559460701899.47377698868331.48927895738687
1496.997.2364384019576-3.2235376160056699.7870992140480.336438401957608
15105.6103.9381428942617.16143566632576100.100421439413-1.66185710573856
16102.8106.044442821558-0.836815305776498100.3923724842193.24444282155766
17101.7104.536563052941-1.82088658196619100.6843235290252.83656305294132
18104.2101.2748263415416.22657176721205100.898601891247-2.9251736584588
1992.793.4330914845827-9.1459717380513101.1128802534690.733091484582658
2091.991.01047977438-8.42239679669553101.211917022316-0.88952022562006
21106.5105.2378669371736.45117927166415101.310953791163-1.26213306282668
22112.3115.3737006180337.91044708560312101.3158522963643.07370061803303
23102.8102.6995324444521.57971675398323101.320750801565-0.10046755554842
2496.594.2125742204952-2.51668662086836101.304112400373-2.28742577950484
25101104.075581946889-3.36305594607018101.2874739991813.07558194688895
2698.999.738785930955-3.22353761600566101.2847516850510.838785930955083
27105.1101.7565349627547.16143566632576101.28202937092-3.34346503724569
28103105.553150237059-0.836815305776498101.2836650687182.55315023705897
299998.535585815451-1.82088658196619101.285300766515-0.464414184548929
30104.3101.0268247907256.22657176721205101.346603442063-3.2731752092746
3194.696.9380656204413-9.1459717380513101.407906117612.33806562044133
3290.487.6469047357679-8.42239679669553101.575492060928-2.75309526423214
33108.9109.6057427240916.45117927166415101.7430780042450.705742724090499
34111.4112.8692813274497.91044708560312102.0202715869481.46928132744907
35100.897.72281807636651.57971675398323102.29746516965-3.07718192363353
36102.5104.866381763956-2.51668662086836102.6503048569132.36638176395556
3798.296.7599114018948-3.36305594607018103.003144544175-1.44008859810516
3898.797.202089143207-3.22353761600566103.421448472799-1.49791085679311
39113.3115.5988119322527.16143566632576103.8397524014222.29881193225204
40104.6105.791858802807-0.836815305776498104.2449565029691.19185880280705
4199.395.7707259774495-1.82088658196619104.650160604517-3.52927402255048
42111.8112.4162217597986.22657176721205104.957206472990.616221759797511
4397.398.481719396587-9.1459717380513105.2642523414641.18171939658711
4497.798.4968636359493-8.42239679669553105.3255331607460.796863635949322
45115.6119.3620067483086.45117927166415105.3868139800283.76200674830761
46111.9110.6182162265897.91044708560312105.271336687808-1.28178377341062
47107107.264423850431.57971675398323105.1558593955870.264423850429978
48107.1111.7399070658-2.51668662086836104.9767795550694.63990706579963
49100.699.7653562315195-3.36305594607018104.797699714551-0.834643768480504
5099.297.0418230435992-3.22353761600566104.581714572406-2.15817695640081
51108.4105.2728349034127.16143566632576104.365729430262-3.12716509658803
52103102.515986687714-0.836815305776498104.320828618062-0.484013312285583
5399.897.1449587761043-1.82088658196619104.275927805862-2.65504122389569
54115119.2058838715176.22657176721205104.5675443612714.20588387151703
5590.885.8868108213713-9.1459717380513104.85916091668-4.91318917862866
5695.994.8309473163556-8.42239679669553105.39144948034-1.06905268364443
57114.4116.4250826843366.45117927166415105.9237380442.02508268433589
58108.2101.9824305905357.91044708560312106.507122323862-6.21756940946491
59112.6116.5297766422931.57971675398323107.0905066037243.92977664229313
60109.1113.117067079578-2.51668662086836107.599619541294.01706707957814
61105105.254323467213-3.36305594607018108.1087324788570.254323467213339
62105104.687213341271-3.22353761600566108.536324274734-0.312786658728612
63118.5120.8746482630637.16143566632576108.9639160706122.37464826306254
64103.798.94171524087-0.836815305776498109.295100064907-4.75828475913004
65112.5117.194602522765-1.82088658196619109.6262840592014.69460252276482
66116.6117.0485965584026.22657176721205109.9248316743860.448596558402357
6796.692.1225924484815-9.1459717380513110.22337928957-4.47740755151851
68101.9101.652838846053-8.42239679669553110.569557950642-0.247161153946919
69116.5115.6330841166216.45117927166415110.915736611715-0.866915883379235
70119.3119.4379270128697.91044708560312111.2516259015280.137927012868715
71115.4117.6327680546761.57971675398323111.5875151913412.23276805467553
72108.5107.607752647242-2.51668662086836111.908933973626-0.89224735275792
73111.5114.132703190159-3.36305594607018112.2303527559112.63270319015885
74108.8108.345956902889-3.22353761600566112.477580713116-0.454043097110628
75121.8123.7137556633537.16143566632576112.7248086703211.91375566335302
76109.6107.192895465867-0.836815305776498112.84391983991-2.40710453413328
77112.2113.257855572468-1.82088658196619112.9630310094981.05785557246786
78119.6119.8689569202266.22657176721205113.1044713125620.268956920226444
79104.1104.100060122427-9.1459717380513113.2459116156256.01224266318923e-05
80105.3105.555672970987-8.42239679669553113.4667238257090.255672970987007
81115109.8612846925436.45117927166415113.687536035792-5.13871530745651
82124.1126.3753091184947.91044708560312113.9142437959032.27530911849357
83116.8117.8793316900021.57971675398323114.1409515560141.07933169000249
84107.5103.227042666355-2.51668662086836114.289643954513-4.2729573336448
85115.6120.124719593058-3.36305594607018114.4383363530124.52471959305809
86116.2121.172602021684-3.22353761600566114.4509355943214.97260202168434
87116.3110.9750294980447.16143566632576114.463534835631-5.32497050195634
88119124.782537577832-0.836815305776498114.0542777279445.78253757783204
89111.9111.975865961708-1.82088658196619113.6450206202580.075865961707862
90118.6118.3686570658716.22657176721205112.604771166917-0.231342934129245
91106.9111.381450024475-9.1459717380513111.5645217135764.48145002447527
92103.2104.793842386091-8.42239679669553110.0285544106051.59384238609073
93118.6122.2562336207026.45117927166415108.4925871076343.6562336207023
94118.7122.7105730283557.91044708560312106.7789798860424.01057302835459
95102.898.95491058156571.57971675398323105.065372664451-3.8450894184343
96100.6100.247556355072-2.51668662086836103.469130265796-0.352443644927931
9794.991.2901680789287-3.36305594607018101.872887867142-3.60983192107135
9894.591.5951931702332-3.22353761600566100.628344445772-2.90480682976677
99102.999.2547633092717.1614356663257699.3838010244033-3.64523669072908
10095.392.812062947814-0.83681530577649898.6247523579624-2.48793705218596
10192.588.9551828904446-1.8208865819661997.8657036915216-3.5448171095554
102102.7101.5986557350286.2265717672120597.5747724977601-1.10134426497216
10391.594.8621304340527-9.145971738051397.28384130399863.36213043405267
10489.589.966503675772-8.4223967966955397.45589312092350.466503675771975
105104.2104.3208757904876.4511792716641597.62794493784850.120875790487389
106105.2104.3309812975417.9104470856031298.1585716168558-0.869018702458916
1079997.73108495015361.5797167539832398.6891982958632-1.26891504984638
10895.594.131794696148-2.5166866208683699.3848919247204-1.36820530385204
10990.584.2824703924925-3.36305594607018100.080585553578-6.21752960750749
11096.194.566482467135-3.22353761600566100.857055148871-1.53351753286496
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112101.9102.12553924281-0.836815305776498102.5112760629670.225539242809788
113101.4101.231859200196-1.82088658196619103.38902738177-0.168140799803652
114113.6116.7632210625346.22657176721205104.2102071702543.16322106253395
11596.697.3145847793131-9.1459717380513105.0313869587380.714584779313142
11697.898.1419724255337-8.42239679669553105.8804243711620.341972425533683
117114.9116.619358944756.45117927166415106.7294617835861.71935894475033
118112.5109.5166756983367.91044708560312107.572877216061-2.98332430166414
119108.4106.803990597481.57971675398323108.416292648537-1.59600940251975
120107107.286069267529-2.51668662086836109.230617353340.286069267528688
121103.5100.318113887927-3.36305594607018110.044942058143-3.18188611207265
122107.5107.374960081745-3.22353761600566110.848577534261-0.12503991825524
123122.3125.7863513232957.16143566632576111.6522130103793.48635132329528



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')