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*Unverified author*

R Software Module

rwasp_decomposeloess.wasp

Title produced by software

Decomposition by Loess

Date of computation

Thu, 06 Mar 2008 04:35:25 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Mar/06/t12048034000a6t92ft1rhvoic.htm/, Retrieved Fri, 26 Apr 2024 07:50:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10031, Retrieved Fri, 26 Apr 2024 07:50:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

918

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Decomposition by Loess] [HPC Retail Sales] [2008-03-06 11:35:25] [d41d8cd98f00b204e9800998ecf8427e] [Current]
F  M D    [Decomposition by Loess] [ws 8: Seasonal De...] [2010-11-26 09:43:41] [05ab9592748364013445d860bb938e43] 
- RM D    [Decomposition by Loess] [] [2010-11-26 10:22:40] [d39e5c40c631ed6c22677d2e41dbfc7d] 
-           [Decomposition by Loess] [Seasonal decompos...] [2010-12-09 16:40:57] [5b90046bcdf0f277a2c54de2210570b9] 
-           [Decomposition by Loess] [Seasonal composition] [2010-12-09 17:36:01] [5b90046bcdf0f277a2c54de2210570b9] 
-    D      [Decomposition by Loess] [] [2010-12-15 19:50:19] [d39e5c40c631ed6c22677d2e41dbfc7d] 
- R         [Decomposition by Loess] [Workshop 8 Season...] [2011-11-24 16:34:45] [3deae35ae8526e36953f595ad65f3a1f] 
- RMP       [Structural Time Series Models] [Workshop 8 Struct...] [2011-11-24 16:53:07] [3deae35ae8526e36953f595ad65f3a1f] 
- R         [Decomposition by Loess] [WS8 - Decompositi...] [2011-11-29 20:23:27] [43a132f5d1d3e2c258a569e3803c6f06] 
- RMP       [Exponential Smoothing] [WS8 - Exponential...] [2011-11-29 20:52:03] [43a132f5d1d3e2c258a569e3803c6f06] 
- R P         [Exponential Smoothing] [] [2011-12-20 18:22:54] [43a132f5d1d3e2c258a569e3803c6f06] 
- R         [Decomposition by Loess] [workshop 8 season...] [2011-11-29 22:55:18] [6bcfceba5251b173e339435c50cbedb8] 
- R         [Decomposition by Loess] [seasonal decompos...] [2011-11-30 18:13:55] [d5821fed422662f85834b1edae505ce2] 
- R         [Decomposition by Loess] [Loess WS8] [2011-12-01 14:24:26] [bab4e1d4a779bb46523d87231e2a2e96] 
- RMP         [Classical Decomposition] [CD] [2011-12-19 17:54:05] [bab4e1d4a779bb46523d87231e2a2e96] 
- R         [Decomposition by Loess] [workshop 8] [2011-12-01 14:23:30] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
-             [Decomposition by Loess] [paper loess] [2011-12-20 19:26:10] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RMP         [Structural Time Series Models] [paper structural ] [2011-12-20 19:27:37] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RMP         [Exponential Smoothing] [paper exponential...] [2011-12-20 19:29:07] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RMP       [Exponential Smoothing] [workshop 8] [2011-12-01 14:53:33] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RMP       [Structural Time Series Models] [workshop 8] [2011-12-01 15:02:12] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RMPD      [Multiple Regression] [workshop 8] [2011-12-01 15:07:12] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RMPD      [Multiple Regression] [workshop8] [2011-12-01 15:10:11] [b1d8f9e536fbb1cbb331f583f7f5f24b] 
- RM D    [Decomposition by Loess] [seasonal decompos...] [2010-11-26 12:39:35] [4eaa304e6a28c475ba490fccf4c01ad3] 
- RM D    [Decomposition by Loess] [seasonal decompos...] [2010-11-26 12:39:35] [4eaa304e6a28c475ba490fccf4c01ad3] 
-  M D    [Decomposition by Loess] [] [2010-11-26 16:02:07] [0175b38674e1402e67841c9c82e4a5a3] 
-  M D    [Decomposition by Loess] [WS8 - Seasonal De...] [2010-11-27 11:05:46] [4a7069087cf9e0eda253aeed7d8c30d6] 
-   P       [Decomposition by Loess] [WS8 - Seasonal De...] [2010-11-27 11:09:48] [4a7069087cf9e0eda253aeed7d8c30d6] 
-           [Decomposition by Loess] [WS8] [2010-11-28 09:21:38] [c7506ced21a6c0dca45d37c8a93c80e0] 
-             [Decomposition by Loess] [ws8] [2010-11-28 09:27:04] [c7506ced21a6c0dca45d37c8a93c80e0] 
-    D      [Decomposition by Loess] [Paper - Ontleden ...] [2010-11-28 19:33:07] [4a7069087cf9e0eda253aeed7d8c30d6] 
-   PD      [Decomposition by Loess] [Paper - Ontleden ...] [2010-11-28 19:38:12] [4a7069087cf9e0eda253aeed7d8c30d6] 
-  MPD    [Decomposition by Loess] [] [2010-11-27 15:02:51] [39e83c7b0ac936e906a817a1bb402750] 
-  M D    [Decomposition by Loess] [ws 8: productie] [2010-11-27 18:26:46] [bd591a1ebb67d263a02e7adae3fa1a4d] 
-    D      [Decomposition by Loess] [decomposition by ...] [2010-12-18 11:03:52] [bd591a1ebb67d263a02e7adae3fa1a4d] 
-  M D    [Decomposition by Loess] [] [2010-11-29 10:12:56] [3074aa973ede76ac75d398946b01602f] 
-  M D    [Decomposition by Loess] [WS8 Loess Decompo...] [2010-11-29 10:31:27] [f4dc4aa51d65be851b8508203d9f6001] 
-  M D    [Decomposition by Loess] [Workshop 8, Decom...] [2010-11-29 11:05:10] [d946de7cca328fbcf207448a112523ab] 
-  M D    [Decomposition by Loess] [Seasonal decompos...] [2010-11-29 11:46:20] [8d09066a9d3795298da6860e7d4a4400] 
-  M D    [Decomposition by Loess] [Seasonal decompos...] [2010-11-29 20:21:39] [18a20458ff88c9ba38344d123a9464bc] 
-  M D    [Decomposition by Loess] [] [2010-11-29 20:28:46] [2db311435ed525bc1ed0ddec922afb8f] 
-   P       [Decomposition by Loess] [] [2010-11-29 20:48:55] [2db311435ed525bc1ed0ddec922afb8f] 
- R           [Decomposition by Loess] [] [2010-11-29 21:02:57] [2db311435ed525bc1ed0ddec922afb8f] 
-           [Decomposition by Loess] [] [2010-12-10 09:53:13] [8e0d27d3447b6ae48398467ddbde7cca] 
- RM D    [Decomposition by Loess] [] [2010-11-29 21:05:52] [2db311435ed525bc1ed0ddec922afb8f] 
-  M D    [Decomposition by Loess] [WS 8 ] [2010-11-29 21:50:47] [19f9551d4d95750ef21e9f3cf8fe2131] 
-  M D    [Decomposition by Loess] [] [2010-11-30 14:07:18] [f72e5115d7374b3b3f29ba3966e5379d] 
- RM D    [Decomposition by Loess] [] [2010-11-30 13:42:03] [1908ef7bb1a3d37a854f5aaad1a1c348] 
- R  D      [Decomposition by Loess] [] [2010-12-19 19:27:54] [1908ef7bb1a3d37a854f5aaad1a1c348] 

[Truncated]

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Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10031&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10031&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10031&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Seasonal Decomposition by Loess - Parameters
Component	Window	Degree	Jump
Seasonal	841	0	85
Trend	19	1	2
Low-pass	13	1	2

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 841 & 0 & 85 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10031&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]841[/C][C]0[/C][C]85[/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=10031&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10031&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
Component	Window	Degree	Jump
Seasonal	841	0	85
Trend	19	1	2
Low-pass	13	1	2

Seasonal Decomposition by Loess - Time Series Components
t	Observed	Fitted	Seasonal	Trend	Remainder
1	13328	13297.5417578351	-99.3384197678257	13457.7966619327	-30.4582421649175
2	12873	13037.9615016470	-831.4134116448	13539.4519099978	164.961501646963
3	14000	13864.9527773806	513.940064556485	13621.1071580629	-135.047222619416
4	13477	13469.1750386704	-219.389218657257	13704.2141799869	-7.82496132959932
5	14237	14331.8262731201	354.852524969072	13787.3212019108	94.8262731201448
6	13674	13773.1214053284	-297.525008490446	13872.4036031620	99.1214053284093
7	13529	13444.4166159159	-343.902620329187	13957.4860044133	-84.5833840841024
8	14058	14082.2291402892	-10.340121363424	14044.1109810743	24.2291402891606
9	12975	12605.4696270984	-786.205584833683	14130.7359577352	-369.530372901556
10	14326	14459.5271309366	-30.8573418062063	14223.3302108696	133.527130936558
11	14008	14062.8698206893	-362.794284693378	14315.9244640041	54.8698206893187
12	16193	15858.4458077938	2112.97342530496	14414.5807669012	-334.554192206206
13	14483	14552.1013499694	-99.3384197678257	14513.2370697984	69.1013499694036
14	14011	14240.1497023153	-831.4134116448	14613.2637093295	229.149702315292
15	15057	14886.7695865829	513.940064556485	14713.2903488606	-170.230413417083
16	14884	15181.6258322494	-219.389218657257	14805.7633864079	297.625832249390
17	15414	15574.9110510758	354.852524969072	14898.2364239551	160.911051075791
18	14440	14199.9446586459	-297.525008490446	14977.5803498446	-240.055341354115
19	14900	15086.9783445952	-343.902620329187	15056.9242757340	186.978344595203
20	15074	15033.2860161002	-10.340121363424	15125.0541052632	-40.7139838997791
21	14442	14477.0216500413	-786.205584833683	15193.1839347924	35.0216500412571
22	15307	15383.9444934667	-30.8573418062063	15260.9128483395	76.9444934667226
23	14938	14910.1525228068	-362.794284693378	15328.6417618865	-27.8474771931633
24	17193	16867.8669535064	2112.97342530496	15405.1596211886	-325.133046493615
25	15528	15673.6609392771	-99.3384197678257	15481.6774804908	145.660939277068
26	14765	14790.9584499268	-831.4134116448	15570.4549617180	25.9584499267839
27	15838	15502.8274924982	513.940064556485	15659.2324429453	-335.172507501758
28	15723	15909.8864779058	-219.389218657257	15755.5027407515	186.886477905782
29	16150	16093.3744364733	354.852524969072	15851.7730385577	-56.6255635267498
30	15486	15320.9548660353	-297.525008490446	15948.5701424551	-165.045133964684
31	15986	16270.5353739766	-343.902620329187	16045.3672463526	284.535373976603
32	15983	15843.5566348689	-10.340121363424	16132.7834864945	-139.443365131081
33	15692	15950.0058581973	-786.205584833683	16220.1997266364	258.005858197255
34	16490	16720.8064867039	-30.8573418062063	16290.0508551023	230.806486703943
35	15686	15374.8923011253	-362.794284693378	16359.9019835681	-311.107698874726
36	18897	19274.8833788665	2112.97342530496	16406.1431958285	377.883378866518
37	16316	16278.9540116789	-99.3384197678257	16452.3844080889	-37.0459883211042
38	15636	15625.0619623243	-831.4134116448	16478.3514493205	-10.9380376757217
39	17163	17307.7414448914	513.940064556485	16504.3184905521	144.741444891395
40	16534	16764.6848783891	-219.389218657257	16522.7043402681	230.684878389118
41	16518	16140.0572850468	354.852524969072	16541.0901899842	-377.942714953231
42	16375	16480.1826059896	-297.525008490446	16567.3424025009	105.182605989568
43	16290	16330.3080053116	-343.902620329187	16593.5946150176	40.3080053115882
44	16352	16076.1325082310	-10.340121363424	16638.2076131324	-275.867491768982
45	15943	15989.3849735865	-786.205584833683	16682.8206112472	46.3849735864715
46	16362	16012.0022674927	-30.8573418062063	16742.8550743135	-349.997732507334
47	16393	16345.9047473135	-362.794284693378	16802.8895373799	-47.095252686493
48	19051	19116.5329740006	2112.97342530496	16872.4936006945	65.5329740005654
49	16747	16651.2407557588	-99.3384197678257	16942.0976640091	-95.759244241246
50	16320	16451.7913674718	-831.4134116448	17019.6220441730	131.791367471847
51	17910	18208.9135111067	513.940064556485	17097.1464243368	298.913511106683
52	16961	16962.0829361777	-219.389218657257	17179.3062824796	1.08293617768868
53	17480	17343.6813344086	354.852524969072	17261.4661406223	-136.318665591374
54	17049	17051.6974904720	-297.525008490446	17343.8275180184	2.69749047204095
55	16879	16675.7137249147	-343.902620329187	17426.1888954145	-203.286275085327
56	17473	17442.9587924026	-10.340121363424	17513.3813289608	-30.0412075973836
57	16998	17181.6318223266	-786.205584833683	17600.5737625071	183.631822326581
58	17307	16943.1362633167	-30.8573418062063	17701.7210784895	-363.863736683263
59	17418	17395.9258902215	-362.794284693378	17802.8683944718	-22.0741097784667
60	20169	20308.7266455873	2112.97342530496	17916.2999291077	139.726645587310
61	17871	17811.6069560242	-99.3384197678257	18029.7314637436	-59.3930439757823
62	17226	17139.9312064186	-831.4134116448	18143.4822052262	-86.0687935813585
63	19062	19352.8269887348	513.940064556485	18257.2329467087	290.826988734807
64	17804	17457.3930290327	-219.389218657257	18369.9961896245	-346.606970967274
65	19100	19362.3880424906	354.852524969072	18482.7594325404	262.388042490573
66	18522	18745.7423966514	-297.525008490446	18595.7826118390	223.742396651411
67	18060	17755.0968291915	-343.902620329187	18708.8057911377	-304.903170808528
68	18869	18929.3683938180	-10.340121363424	18818.9717275455	60.3683938179638
69	18127	18111.0679208805	-786.205584833683	18929.1376639532	-15.9320791195241
70	18871	18739.2445928084	-30.8573418062063	19033.6127489978	-131.755407191631
71	18890	19004.7064506509	-362.794284693378	19138.0878340425	114.706450650901
72	21263	21177.2105691642	2112.97342530496	19235.8160055308	-85.789430835779
73	19547	19859.7942427487	-99.3384197678257	19333.5441770192	312.794242748671
74	18450	18311.6609510351	-831.4134116448	19419.7524606097	-138.339048964895
75	20254	20488.0991912433	513.940064556485	19505.9607442002	234.099191243276
76	19240	19138.0601589227	-219.389218657257	19561.3290597346	-101.939841077314
77	20216	20460.4500997620	354.852524969072	19616.6973752689	244.450099762023
78	19420	19467.8895376259	-297.525008490446	19669.6354708646	47.8895376258733
79	19415	19451.3290538689	-343.902620329187	19722.5735664602	36.3290538689471
80	20018	20273.1542946653	-10.340121363424	19773.1858266981	255.154294665324
81	18652	18266.4074978977	-786.205584833683	19823.7980869360	-385.592502102274
82	19978	20115.5306104799	-30.8573418062063	19871.3267313263	137.530610479931
83	19509	19461.9389089768	-362.794284693378	19918.8553757166	-47.0610910232208
84	21971	21864.8316944729	2112.97342530496	19964.1948802222	-106.168305527150

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 13328 & 13297.5417578351 & -99.3384197678257 & 13457.7966619327 & -30.4582421649175 \tabularnewline
2 & 12873 & 13037.9615016470 & -831.4134116448 & 13539.4519099978 & 164.961501646963 \tabularnewline
3 & 14000 & 13864.9527773806 & 513.940064556485 & 13621.1071580629 & -135.047222619416 \tabularnewline
4 & 13477 & 13469.1750386704 & -219.389218657257 & 13704.2141799869 & -7.82496132959932 \tabularnewline
5 & 14237 & 14331.8262731201 & 354.852524969072 & 13787.3212019108 & 94.8262731201448 \tabularnewline
6 & 13674 & 13773.1214053284 & -297.525008490446 & 13872.4036031620 & 99.1214053284093 \tabularnewline
7 & 13529 & 13444.4166159159 & -343.902620329187 & 13957.4860044133 & -84.5833840841024 \tabularnewline
8 & 14058 & 14082.2291402892 & -10.340121363424 & 14044.1109810743 & 24.2291402891606 \tabularnewline
9 & 12975 & 12605.4696270984 & -786.205584833683 & 14130.7359577352 & -369.530372901556 \tabularnewline
10 & 14326 & 14459.5271309366 & -30.8573418062063 & 14223.3302108696 & 133.527130936558 \tabularnewline
11 & 14008 & 14062.8698206893 & -362.794284693378 & 14315.9244640041 & 54.8698206893187 \tabularnewline
12 & 16193 & 15858.4458077938 & 2112.97342530496 & 14414.5807669012 & -334.554192206206 \tabularnewline
13 & 14483 & 14552.1013499694 & -99.3384197678257 & 14513.2370697984 & 69.1013499694036 \tabularnewline
14 & 14011 & 14240.1497023153 & -831.4134116448 & 14613.2637093295 & 229.149702315292 \tabularnewline
15 & 15057 & 14886.7695865829 & 513.940064556485 & 14713.2903488606 & -170.230413417083 \tabularnewline
16 & 14884 & 15181.6258322494 & -219.389218657257 & 14805.7633864079 & 297.625832249390 \tabularnewline
17 & 15414 & 15574.9110510758 & 354.852524969072 & 14898.2364239551 & 160.911051075791 \tabularnewline
18 & 14440 & 14199.9446586459 & -297.525008490446 & 14977.5803498446 & -240.055341354115 \tabularnewline
19 & 14900 & 15086.9783445952 & -343.902620329187 & 15056.9242757340 & 186.978344595203 \tabularnewline
20 & 15074 & 15033.2860161002 & -10.340121363424 & 15125.0541052632 & -40.7139838997791 \tabularnewline
21 & 14442 & 14477.0216500413 & -786.205584833683 & 15193.1839347924 & 35.0216500412571 \tabularnewline
22 & 15307 & 15383.9444934667 & -30.8573418062063 & 15260.9128483395 & 76.9444934667226 \tabularnewline
23 & 14938 & 14910.1525228068 & -362.794284693378 & 15328.6417618865 & -27.8474771931633 \tabularnewline
24 & 17193 & 16867.8669535064 & 2112.97342530496 & 15405.1596211886 & -325.133046493615 \tabularnewline
25 & 15528 & 15673.6609392771 & -99.3384197678257 & 15481.6774804908 & 145.660939277068 \tabularnewline
26 & 14765 & 14790.9584499268 & -831.4134116448 & 15570.4549617180 & 25.9584499267839 \tabularnewline
27 & 15838 & 15502.8274924982 & 513.940064556485 & 15659.2324429453 & -335.172507501758 \tabularnewline
28 & 15723 & 15909.8864779058 & -219.389218657257 & 15755.5027407515 & 186.886477905782 \tabularnewline
29 & 16150 & 16093.3744364733 & 354.852524969072 & 15851.7730385577 & -56.6255635267498 \tabularnewline
30 & 15486 & 15320.9548660353 & -297.525008490446 & 15948.5701424551 & -165.045133964684 \tabularnewline
31 & 15986 & 16270.5353739766 & -343.902620329187 & 16045.3672463526 & 284.535373976603 \tabularnewline
32 & 15983 & 15843.5566348689 & -10.340121363424 & 16132.7834864945 & -139.443365131081 \tabularnewline
33 & 15692 & 15950.0058581973 & -786.205584833683 & 16220.1997266364 & 258.005858197255 \tabularnewline
34 & 16490 & 16720.8064867039 & -30.8573418062063 & 16290.0508551023 & 230.806486703943 \tabularnewline
35 & 15686 & 15374.8923011253 & -362.794284693378 & 16359.9019835681 & -311.107698874726 \tabularnewline
36 & 18897 & 19274.8833788665 & 2112.97342530496 & 16406.1431958285 & 377.883378866518 \tabularnewline
37 & 16316 & 16278.9540116789 & -99.3384197678257 & 16452.3844080889 & -37.0459883211042 \tabularnewline
38 & 15636 & 15625.0619623243 & -831.4134116448 & 16478.3514493205 & -10.9380376757217 \tabularnewline
39 & 17163 & 17307.7414448914 & 513.940064556485 & 16504.3184905521 & 144.741444891395 \tabularnewline
40 & 16534 & 16764.6848783891 & -219.389218657257 & 16522.7043402681 & 230.684878389118 \tabularnewline
41 & 16518 & 16140.0572850468 & 354.852524969072 & 16541.0901899842 & -377.942714953231 \tabularnewline
42 & 16375 & 16480.1826059896 & -297.525008490446 & 16567.3424025009 & 105.182605989568 \tabularnewline
43 & 16290 & 16330.3080053116 & -343.902620329187 & 16593.5946150176 & 40.3080053115882 \tabularnewline
44 & 16352 & 16076.1325082310 & -10.340121363424 & 16638.2076131324 & -275.867491768982 \tabularnewline
45 & 15943 & 15989.3849735865 & -786.205584833683 & 16682.8206112472 & 46.3849735864715 \tabularnewline
46 & 16362 & 16012.0022674927 & -30.8573418062063 & 16742.8550743135 & -349.997732507334 \tabularnewline
47 & 16393 & 16345.9047473135 & -362.794284693378 & 16802.8895373799 & -47.095252686493 \tabularnewline
48 & 19051 & 19116.5329740006 & 2112.97342530496 & 16872.4936006945 & 65.5329740005654 \tabularnewline
49 & 16747 & 16651.2407557588 & -99.3384197678257 & 16942.0976640091 & -95.759244241246 \tabularnewline
50 & 16320 & 16451.7913674718 & -831.4134116448 & 17019.6220441730 & 131.791367471847 \tabularnewline
51 & 17910 & 18208.9135111067 & 513.940064556485 & 17097.1464243368 & 298.913511106683 \tabularnewline
52 & 16961 & 16962.0829361777 & -219.389218657257 & 17179.3062824796 & 1.08293617768868 \tabularnewline
53 & 17480 & 17343.6813344086 & 354.852524969072 & 17261.4661406223 & -136.318665591374 \tabularnewline
54 & 17049 & 17051.6974904720 & -297.525008490446 & 17343.8275180184 & 2.69749047204095 \tabularnewline
55 & 16879 & 16675.7137249147 & -343.902620329187 & 17426.1888954145 & -203.286275085327 \tabularnewline
56 & 17473 & 17442.9587924026 & -10.340121363424 & 17513.3813289608 & -30.0412075973836 \tabularnewline
57 & 16998 & 17181.6318223266 & -786.205584833683 & 17600.5737625071 & 183.631822326581 \tabularnewline
58 & 17307 & 16943.1362633167 & -30.8573418062063 & 17701.7210784895 & -363.863736683263 \tabularnewline
59 & 17418 & 17395.9258902215 & -362.794284693378 & 17802.8683944718 & -22.0741097784667 \tabularnewline
60 & 20169 & 20308.7266455873 & 2112.97342530496 & 17916.2999291077 & 139.726645587310 \tabularnewline
61 & 17871 & 17811.6069560242 & -99.3384197678257 & 18029.7314637436 & -59.3930439757823 \tabularnewline
62 & 17226 & 17139.9312064186 & -831.4134116448 & 18143.4822052262 & -86.0687935813585 \tabularnewline
63 & 19062 & 19352.8269887348 & 513.940064556485 & 18257.2329467087 & 290.826988734807 \tabularnewline
64 & 17804 & 17457.3930290327 & -219.389218657257 & 18369.9961896245 & -346.606970967274 \tabularnewline
65 & 19100 & 19362.3880424906 & 354.852524969072 & 18482.7594325404 & 262.388042490573 \tabularnewline
66 & 18522 & 18745.7423966514 & -297.525008490446 & 18595.7826118390 & 223.742396651411 \tabularnewline
67 & 18060 & 17755.0968291915 & -343.902620329187 & 18708.8057911377 & -304.903170808528 \tabularnewline
68 & 18869 & 18929.3683938180 & -10.340121363424 & 18818.9717275455 & 60.3683938179638 \tabularnewline
69 & 18127 & 18111.0679208805 & -786.205584833683 & 18929.1376639532 & -15.9320791195241 \tabularnewline
70 & 18871 & 18739.2445928084 & -30.8573418062063 & 19033.6127489978 & -131.755407191631 \tabularnewline
71 & 18890 & 19004.7064506509 & -362.794284693378 & 19138.0878340425 & 114.706450650901 \tabularnewline
72 & 21263 & 21177.2105691642 & 2112.97342530496 & 19235.8160055308 & -85.789430835779 \tabularnewline
73 & 19547 & 19859.7942427487 & -99.3384197678257 & 19333.5441770192 & 312.794242748671 \tabularnewline
74 & 18450 & 18311.6609510351 & -831.4134116448 & 19419.7524606097 & -138.339048964895 \tabularnewline
75 & 20254 & 20488.0991912433 & 513.940064556485 & 19505.9607442002 & 234.099191243276 \tabularnewline
76 & 19240 & 19138.0601589227 & -219.389218657257 & 19561.3290597346 & -101.939841077314 \tabularnewline
77 & 20216 & 20460.4500997620 & 354.852524969072 & 19616.6973752689 & 244.450099762023 \tabularnewline
78 & 19420 & 19467.8895376259 & -297.525008490446 & 19669.6354708646 & 47.8895376258733 \tabularnewline
79 & 19415 & 19451.3290538689 & -343.902620329187 & 19722.5735664602 & 36.3290538689471 \tabularnewline
80 & 20018 & 20273.1542946653 & -10.340121363424 & 19773.1858266981 & 255.154294665324 \tabularnewline
81 & 18652 & 18266.4074978977 & -786.205584833683 & 19823.7980869360 & -385.592502102274 \tabularnewline
82 & 19978 & 20115.5306104799 & -30.8573418062063 & 19871.3267313263 & 137.530610479931 \tabularnewline
83 & 19509 & 19461.9389089768 & -362.794284693378 & 19918.8553757166 & -47.0610910232208 \tabularnewline
84 & 21971 & 21864.8316944729 & 2112.97342530496 & 19964.1948802222 & -106.168305527150 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10031&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]13328[/C][C]13297.5417578351[/C][C]-99.3384197678257[/C][C]13457.7966619327[/C][C]-30.4582421649175[/C][/ROW]
[ROW][C]2[/C][C]12873[/C][C]13037.9615016470[/C][C]-831.4134116448[/C][C]13539.4519099978[/C][C]164.961501646963[/C][/ROW]
[ROW][C]3[/C][C]14000[/C][C]13864.9527773806[/C][C]513.940064556485[/C][C]13621.1071580629[/C][C]-135.047222619416[/C][/ROW]
[ROW][C]4[/C][C]13477[/C][C]13469.1750386704[/C][C]-219.389218657257[/C][C]13704.2141799869[/C][C]-7.82496132959932[/C][/ROW]
[ROW][C]5[/C][C]14237[/C][C]14331.8262731201[/C][C]354.852524969072[/C][C]13787.3212019108[/C][C]94.8262731201448[/C][/ROW]
[ROW][C]6[/C][C]13674[/C][C]13773.1214053284[/C][C]-297.525008490446[/C][C]13872.4036031620[/C][C]99.1214053284093[/C][/ROW]
[ROW][C]7[/C][C]13529[/C][C]13444.4166159159[/C][C]-343.902620329187[/C][C]13957.4860044133[/C][C]-84.5833840841024[/C][/ROW]
[ROW][C]8[/C][C]14058[/C][C]14082.2291402892[/C][C]-10.340121363424[/C][C]14044.1109810743[/C][C]24.2291402891606[/C][/ROW]
[ROW][C]9[/C][C]12975[/C][C]12605.4696270984[/C][C]-786.205584833683[/C][C]14130.7359577352[/C][C]-369.530372901556[/C][/ROW]
[ROW][C]10[/C][C]14326[/C][C]14459.5271309366[/C][C]-30.8573418062063[/C][C]14223.3302108696[/C][C]133.527130936558[/C][/ROW]
[ROW][C]11[/C][C]14008[/C][C]14062.8698206893[/C][C]-362.794284693378[/C][C]14315.9244640041[/C][C]54.8698206893187[/C][/ROW]
[ROW][C]12[/C][C]16193[/C][C]15858.4458077938[/C][C]2112.97342530496[/C][C]14414.5807669012[/C][C]-334.554192206206[/C][/ROW]
[ROW][C]13[/C][C]14483[/C][C]14552.1013499694[/C][C]-99.3384197678257[/C][C]14513.2370697984[/C][C]69.1013499694036[/C][/ROW]
[ROW][C]14[/C][C]14011[/C][C]14240.1497023153[/C][C]-831.4134116448[/C][C]14613.2637093295[/C][C]229.149702315292[/C][/ROW]
[ROW][C]15[/C][C]15057[/C][C]14886.7695865829[/C][C]513.940064556485[/C][C]14713.2903488606[/C][C]-170.230413417083[/C][/ROW]
[ROW][C]16[/C][C]14884[/C][C]15181.6258322494[/C][C]-219.389218657257[/C][C]14805.7633864079[/C][C]297.625832249390[/C][/ROW]
[ROW][C]17[/C][C]15414[/C][C]15574.9110510758[/C][C]354.852524969072[/C][C]14898.2364239551[/C][C]160.911051075791[/C][/ROW]
[ROW][C]18[/C][C]14440[/C][C]14199.9446586459[/C][C]-297.525008490446[/C][C]14977.5803498446[/C][C]-240.055341354115[/C][/ROW]
[ROW][C]19[/C][C]14900[/C][C]15086.9783445952[/C][C]-343.902620329187[/C][C]15056.9242757340[/C][C]186.978344595203[/C][/ROW]
[ROW][C]20[/C][C]15074[/C][C]15033.2860161002[/C][C]-10.340121363424[/C][C]15125.0541052632[/C][C]-40.7139838997791[/C][/ROW]
[ROW][C]21[/C][C]14442[/C][C]14477.0216500413[/C][C]-786.205584833683[/C][C]15193.1839347924[/C][C]35.0216500412571[/C][/ROW]
[ROW][C]22[/C][C]15307[/C][C]15383.9444934667[/C][C]-30.8573418062063[/C][C]15260.9128483395[/C][C]76.9444934667226[/C][/ROW]
[ROW][C]23[/C][C]14938[/C][C]14910.1525228068[/C][C]-362.794284693378[/C][C]15328.6417618865[/C][C]-27.8474771931633[/C][/ROW]
[ROW][C]24[/C][C]17193[/C][C]16867.8669535064[/C][C]2112.97342530496[/C][C]15405.1596211886[/C][C]-325.133046493615[/C][/ROW]
[ROW][C]25[/C][C]15528[/C][C]15673.6609392771[/C][C]-99.3384197678257[/C][C]15481.6774804908[/C][C]145.660939277068[/C][/ROW]
[ROW][C]26[/C][C]14765[/C][C]14790.9584499268[/C][C]-831.4134116448[/C][C]15570.4549617180[/C][C]25.9584499267839[/C][/ROW]
[ROW][C]27[/C][C]15838[/C][C]15502.8274924982[/C][C]513.940064556485[/C][C]15659.2324429453[/C][C]-335.172507501758[/C][/ROW]
[ROW][C]28[/C][C]15723[/C][C]15909.8864779058[/C][C]-219.389218657257[/C][C]15755.5027407515[/C][C]186.886477905782[/C][/ROW]
[ROW][C]29[/C][C]16150[/C][C]16093.3744364733[/C][C]354.852524969072[/C][C]15851.7730385577[/C][C]-56.6255635267498[/C][/ROW]
[ROW][C]30[/C][C]15486[/C][C]15320.9548660353[/C][C]-297.525008490446[/C][C]15948.5701424551[/C][C]-165.045133964684[/C][/ROW]
[ROW][C]31[/C][C]15986[/C][C]16270.5353739766[/C][C]-343.902620329187[/C][C]16045.3672463526[/C][C]284.535373976603[/C][/ROW]
[ROW][C]32[/C][C]15983[/C][C]15843.5566348689[/C][C]-10.340121363424[/C][C]16132.7834864945[/C][C]-139.443365131081[/C][/ROW]
[ROW][C]33[/C][C]15692[/C][C]15950.0058581973[/C][C]-786.205584833683[/C][C]16220.1997266364[/C][C]258.005858197255[/C][/ROW]
[ROW][C]34[/C][C]16490[/C][C]16720.8064867039[/C][C]-30.8573418062063[/C][C]16290.0508551023[/C][C]230.806486703943[/C][/ROW]
[ROW][C]35[/C][C]15686[/C][C]15374.8923011253[/C][C]-362.794284693378[/C][C]16359.9019835681[/C][C]-311.107698874726[/C][/ROW]
[ROW][C]36[/C][C]18897[/C][C]19274.8833788665[/C][C]2112.97342530496[/C][C]16406.1431958285[/C][C]377.883378866518[/C][/ROW]
[ROW][C]37[/C][C]16316[/C][C]16278.9540116789[/C][C]-99.3384197678257[/C][C]16452.3844080889[/C][C]-37.0459883211042[/C][/ROW]
[ROW][C]38[/C][C]15636[/C][C]15625.0619623243[/C][C]-831.4134116448[/C][C]16478.3514493205[/C][C]-10.9380376757217[/C][/ROW]
[ROW][C]39[/C][C]17163[/C][C]17307.7414448914[/C][C]513.940064556485[/C][C]16504.3184905521[/C][C]144.741444891395[/C][/ROW]
[ROW][C]40[/C][C]16534[/C][C]16764.6848783891[/C][C]-219.389218657257[/C][C]16522.7043402681[/C][C]230.684878389118[/C][/ROW]
[ROW][C]41[/C][C]16518[/C][C]16140.0572850468[/C][C]354.852524969072[/C][C]16541.0901899842[/C][C]-377.942714953231[/C][/ROW]
[ROW][C]42[/C][C]16375[/C][C]16480.1826059896[/C][C]-297.525008490446[/C][C]16567.3424025009[/C][C]105.182605989568[/C][/ROW]
[ROW][C]43[/C][C]16290[/C][C]16330.3080053116[/C][C]-343.902620329187[/C][C]16593.5946150176[/C][C]40.3080053115882[/C][/ROW]
[ROW][C]44[/C][C]16352[/C][C]16076.1325082310[/C][C]-10.340121363424[/C][C]16638.2076131324[/C][C]-275.867491768982[/C][/ROW]
[ROW][C]45[/C][C]15943[/C][C]15989.3849735865[/C][C]-786.205584833683[/C][C]16682.8206112472[/C][C]46.3849735864715[/C][/ROW]
[ROW][C]46[/C][C]16362[/C][C]16012.0022674927[/C][C]-30.8573418062063[/C][C]16742.8550743135[/C][C]-349.997732507334[/C][/ROW]
[ROW][C]47[/C][C]16393[/C][C]16345.9047473135[/C][C]-362.794284693378[/C][C]16802.8895373799[/C][C]-47.095252686493[/C][/ROW]
[ROW][C]48[/C][C]19051[/C][C]19116.5329740006[/C][C]2112.97342530496[/C][C]16872.4936006945[/C][C]65.5329740005654[/C][/ROW]
[ROW][C]49[/C][C]16747[/C][C]16651.2407557588[/C][C]-99.3384197678257[/C][C]16942.0976640091[/C][C]-95.759244241246[/C][/ROW]
[ROW][C]50[/C][C]16320[/C][C]16451.7913674718[/C][C]-831.4134116448[/C][C]17019.6220441730[/C][C]131.791367471847[/C][/ROW]
[ROW][C]51[/C][C]17910[/C][C]18208.9135111067[/C][C]513.940064556485[/C][C]17097.1464243368[/C][C]298.913511106683[/C][/ROW]
[ROW][C]52[/C][C]16961[/C][C]16962.0829361777[/C][C]-219.389218657257[/C][C]17179.3062824796[/C][C]1.08293617768868[/C][/ROW]
[ROW][C]53[/C][C]17480[/C][C]17343.6813344086[/C][C]354.852524969072[/C][C]17261.4661406223[/C][C]-136.318665591374[/C][/ROW]
[ROW][C]54[/C][C]17049[/C][C]17051.6974904720[/C][C]-297.525008490446[/C][C]17343.8275180184[/C][C]2.69749047204095[/C][/ROW]
[ROW][C]55[/C][C]16879[/C][C]16675.7137249147[/C][C]-343.902620329187[/C][C]17426.1888954145[/C][C]-203.286275085327[/C][/ROW]
[ROW][C]56[/C][C]17473[/C][C]17442.9587924026[/C][C]-10.340121363424[/C][C]17513.3813289608[/C][C]-30.0412075973836[/C][/ROW]
[ROW][C]57[/C][C]16998[/C][C]17181.6318223266[/C][C]-786.205584833683[/C][C]17600.5737625071[/C][C]183.631822326581[/C][/ROW]
[ROW][C]58[/C][C]17307[/C][C]16943.1362633167[/C][C]-30.8573418062063[/C][C]17701.7210784895[/C][C]-363.863736683263[/C][/ROW]
[ROW][C]59[/C][C]17418[/C][C]17395.9258902215[/C][C]-362.794284693378[/C][C]17802.8683944718[/C][C]-22.0741097784667[/C][/ROW]
[ROW][C]60[/C][C]20169[/C][C]20308.7266455873[/C][C]2112.97342530496[/C][C]17916.2999291077[/C][C]139.726645587310[/C][/ROW]
[ROW][C]61[/C][C]17871[/C][C]17811.6069560242[/C][C]-99.3384197678257[/C][C]18029.7314637436[/C][C]-59.3930439757823[/C][/ROW]
[ROW][C]62[/C][C]17226[/C][C]17139.9312064186[/C][C]-831.4134116448[/C][C]18143.4822052262[/C][C]-86.0687935813585[/C][/ROW]
[ROW][C]63[/C][C]19062[/C][C]19352.8269887348[/C][C]513.940064556485[/C][C]18257.2329467087[/C][C]290.826988734807[/C][/ROW]
[ROW][C]64[/C][C]17804[/C][C]17457.3930290327[/C][C]-219.389218657257[/C][C]18369.9961896245[/C][C]-346.606970967274[/C][/ROW]
[ROW][C]65[/C][C]19100[/C][C]19362.3880424906[/C][C]354.852524969072[/C][C]18482.7594325404[/C][C]262.388042490573[/C][/ROW]
[ROW][C]66[/C][C]18522[/C][C]18745.7423966514[/C][C]-297.525008490446[/C][C]18595.7826118390[/C][C]223.742396651411[/C][/ROW]
[ROW][C]67[/C][C]18060[/C][C]17755.0968291915[/C][C]-343.902620329187[/C][C]18708.8057911377[/C][C]-304.903170808528[/C][/ROW]
[ROW][C]68[/C][C]18869[/C][C]18929.3683938180[/C][C]-10.340121363424[/C][C]18818.9717275455[/C][C]60.3683938179638[/C][/ROW]
[ROW][C]69[/C][C]18127[/C][C]18111.0679208805[/C][C]-786.205584833683[/C][C]18929.1376639532[/C][C]-15.9320791195241[/C][/ROW]
[ROW][C]70[/C][C]18871[/C][C]18739.2445928084[/C][C]-30.8573418062063[/C][C]19033.6127489978[/C][C]-131.755407191631[/C][/ROW]
[ROW][C]71[/C][C]18890[/C][C]19004.7064506509[/C][C]-362.794284693378[/C][C]19138.0878340425[/C][C]114.706450650901[/C][/ROW]
[ROW][C]72[/C][C]21263[/C][C]21177.2105691642[/C][C]2112.97342530496[/C][C]19235.8160055308[/C][C]-85.789430835779[/C][/ROW]
[ROW][C]73[/C][C]19547[/C][C]19859.7942427487[/C][C]-99.3384197678257[/C][C]19333.5441770192[/C][C]312.794242748671[/C][/ROW]
[ROW][C]74[/C][C]18450[/C][C]18311.6609510351[/C][C]-831.4134116448[/C][C]19419.7524606097[/C][C]-138.339048964895[/C][/ROW]
[ROW][C]75[/C][C]20254[/C][C]20488.0991912433[/C][C]513.940064556485[/C][C]19505.9607442002[/C][C]234.099191243276[/C][/ROW]
[ROW][C]76[/C][C]19240[/C][C]19138.0601589227[/C][C]-219.389218657257[/C][C]19561.3290597346[/C][C]-101.939841077314[/C][/ROW]
[ROW][C]77[/C][C]20216[/C][C]20460.4500997620[/C][C]354.852524969072[/C][C]19616.6973752689[/C][C]244.450099762023[/C][/ROW]
[ROW][C]78[/C][C]19420[/C][C]19467.8895376259[/C][C]-297.525008490446[/C][C]19669.6354708646[/C][C]47.8895376258733[/C][/ROW]
[ROW][C]79[/C][C]19415[/C][C]19451.3290538689[/C][C]-343.902620329187[/C][C]19722.5735664602[/C][C]36.3290538689471[/C][/ROW]
[ROW][C]80[/C][C]20018[/C][C]20273.1542946653[/C][C]-10.340121363424[/C][C]19773.1858266981[/C][C]255.154294665324[/C][/ROW]
[ROW][C]81[/C][C]18652[/C][C]18266.4074978977[/C][C]-786.205584833683[/C][C]19823.7980869360[/C][C]-385.592502102274[/C][/ROW]
[ROW][C]82[/C][C]19978[/C][C]20115.5306104799[/C][C]-30.8573418062063[/C][C]19871.3267313263[/C][C]137.530610479931[/C][/ROW]
[ROW][C]83[/C][C]19509[/C][C]19461.9389089768[/C][C]-362.794284693378[/C][C]19918.8553757166[/C][C]-47.0610910232208[/C][/ROW]
[ROW][C]84[/C][C]21971[/C][C]21864.8316944729[/C][C]2112.97342530496[/C][C]19964.1948802222[/C][C]-106.168305527150[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10031&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10031&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
t	Observed	Fitted	Seasonal	Trend	Remainder
1	13328	13297.5417578351	-99.3384197678257	13457.7966619327	-30.4582421649175
2	12873	13037.9615016470	-831.4134116448	13539.4519099978	164.961501646963
3	14000	13864.9527773806	513.940064556485	13621.1071580629	-135.047222619416
4	13477	13469.1750386704	-219.389218657257	13704.2141799869	-7.82496132959932
5	14237	14331.8262731201	354.852524969072	13787.3212019108	94.8262731201448
6	13674	13773.1214053284	-297.525008490446	13872.4036031620	99.1214053284093
7	13529	13444.4166159159	-343.902620329187	13957.4860044133	-84.5833840841024
8	14058	14082.2291402892	-10.340121363424	14044.1109810743	24.2291402891606
9	12975	12605.4696270984	-786.205584833683	14130.7359577352	-369.530372901556
10	14326	14459.5271309366	-30.8573418062063	14223.3302108696	133.527130936558
11	14008	14062.8698206893	-362.794284693378	14315.9244640041	54.8698206893187
12	16193	15858.4458077938	2112.97342530496	14414.5807669012	-334.554192206206
13	14483	14552.1013499694	-99.3384197678257	14513.2370697984	69.1013499694036
14	14011	14240.1497023153	-831.4134116448	14613.2637093295	229.149702315292
15	15057	14886.7695865829	513.940064556485	14713.2903488606	-170.230413417083
16	14884	15181.6258322494	-219.389218657257	14805.7633864079	297.625832249390
17	15414	15574.9110510758	354.852524969072	14898.2364239551	160.911051075791
18	14440	14199.9446586459	-297.525008490446	14977.5803498446	-240.055341354115
19	14900	15086.9783445952	-343.902620329187	15056.9242757340	186.978344595203
20	15074	15033.2860161002	-10.340121363424	15125.0541052632	-40.7139838997791
21	14442	14477.0216500413	-786.205584833683	15193.1839347924	35.0216500412571
22	15307	15383.9444934667	-30.8573418062063	15260.9128483395	76.9444934667226
23	14938	14910.1525228068	-362.794284693378	15328.6417618865	-27.8474771931633
24	17193	16867.8669535064	2112.97342530496	15405.1596211886	-325.133046493615
25	15528	15673.6609392771	-99.3384197678257	15481.6774804908	145.660939277068
26	14765	14790.9584499268	-831.4134116448	15570.4549617180	25.9584499267839
27	15838	15502.8274924982	513.940064556485	15659.2324429453	-335.172507501758
28	15723	15909.8864779058	-219.389218657257	15755.5027407515	186.886477905782
29	16150	16093.3744364733	354.852524969072	15851.7730385577	-56.6255635267498
30	15486	15320.9548660353	-297.525008490446	15948.5701424551	-165.045133964684
31	15986	16270.5353739766	-343.902620329187	16045.3672463526	284.535373976603
32	15983	15843.5566348689	-10.340121363424	16132.7834864945	-139.443365131081
33	15692	15950.0058581973	-786.205584833683	16220.1997266364	258.005858197255
34	16490	16720.8064867039	-30.8573418062063	16290.0508551023	230.806486703943
35	15686	15374.8923011253	-362.794284693378	16359.9019835681	-311.107698874726
36	18897	19274.8833788665	2112.97342530496	16406.1431958285	377.883378866518
37	16316	16278.9540116789	-99.3384197678257	16452.3844080889	-37.0459883211042
38	15636	15625.0619623243	-831.4134116448	16478.3514493205	-10.9380376757217
39	17163	17307.7414448914	513.940064556485	16504.3184905521	144.741444891395
40	16534	16764.6848783891	-219.389218657257	16522.7043402681	230.684878389118
41	16518	16140.0572850468	354.852524969072	16541.0901899842	-377.942714953231
42	16375	16480.1826059896	-297.525008490446	16567.3424025009	105.182605989568
43	16290	16330.3080053116	-343.902620329187	16593.5946150176	40.3080053115882
44	16352	16076.1325082310	-10.340121363424	16638.2076131324	-275.867491768982
45	15943	15989.3849735865	-786.205584833683	16682.8206112472	46.3849735864715
46	16362	16012.0022674927	-30.8573418062063	16742.8550743135	-349.997732507334
47	16393	16345.9047473135	-362.794284693378	16802.8895373799	-47.095252686493
48	19051	19116.5329740006	2112.97342530496	16872.4936006945	65.5329740005654
49	16747	16651.2407557588	-99.3384197678257	16942.0976640091	-95.759244241246
50	16320	16451.7913674718	-831.4134116448	17019.6220441730	131.791367471847
51	17910	18208.9135111067	513.940064556485	17097.1464243368	298.913511106683
52	16961	16962.0829361777	-219.389218657257	17179.3062824796	1.08293617768868
53	17480	17343.6813344086	354.852524969072	17261.4661406223	-136.318665591374
54	17049	17051.6974904720	-297.525008490446	17343.8275180184	2.69749047204095
55	16879	16675.7137249147	-343.902620329187	17426.1888954145	-203.286275085327
56	17473	17442.9587924026	-10.340121363424	17513.3813289608	-30.0412075973836
57	16998	17181.6318223266	-786.205584833683	17600.5737625071	183.631822326581
58	17307	16943.1362633167	-30.8573418062063	17701.7210784895	-363.863736683263
59	17418	17395.9258902215	-362.794284693378	17802.8683944718	-22.0741097784667
60	20169	20308.7266455873	2112.97342530496	17916.2999291077	139.726645587310
61	17871	17811.6069560242	-99.3384197678257	18029.7314637436	-59.3930439757823
62	17226	17139.9312064186	-831.4134116448	18143.4822052262	-86.0687935813585
63	19062	19352.8269887348	513.940064556485	18257.2329467087	290.826988734807
64	17804	17457.3930290327	-219.389218657257	18369.9961896245	-346.606970967274
65	19100	19362.3880424906	354.852524969072	18482.7594325404	262.388042490573
66	18522	18745.7423966514	-297.525008490446	18595.7826118390	223.742396651411
67	18060	17755.0968291915	-343.902620329187	18708.8057911377	-304.903170808528
68	18869	18929.3683938180	-10.340121363424	18818.9717275455	60.3683938179638
69	18127	18111.0679208805	-786.205584833683	18929.1376639532	-15.9320791195241
70	18871	18739.2445928084	-30.8573418062063	19033.6127489978	-131.755407191631
71	18890	19004.7064506509	-362.794284693378	19138.0878340425	114.706450650901
72	21263	21177.2105691642	2112.97342530496	19235.8160055308	-85.789430835779
73	19547	19859.7942427487	-99.3384197678257	19333.5441770192	312.794242748671
74	18450	18311.6609510351	-831.4134116448	19419.7524606097	-138.339048964895
75	20254	20488.0991912433	513.940064556485	19505.9607442002	234.099191243276
76	19240	19138.0601589227	-219.389218657257	19561.3290597346	-101.939841077314
77	20216	20460.4500997620	354.852524969072	19616.6973752689	244.450099762023
78	19420	19467.8895376259	-297.525008490446	19669.6354708646	47.8895376258733
79	19415	19451.3290538689	-343.902620329187	19722.5735664602	36.3290538689471
80	20018	20273.1542946653	-10.340121363424	19773.1858266981	255.154294665324
81	18652	18266.4074978977	-786.205584833683	19823.7980869360	-385.592502102274
82	19978	20115.5306104799	-30.8573418062063	19871.3267313263	137.530610479931
83	19509	19461.9389089768	-362.794284693378	19918.8553757166	-47.0610910232208
84	21971	21864.8316944729	2112.97342530496	19964.1948802222	-106.168305527150

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code