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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 29 Dec 2010 07:45:29 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/29/t12936086027xlvdb00amt0rqw.htm/, Retrieved Fri, 03 May 2024 06:57:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116608, Retrieved Fri, 03 May 2024 06:57:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [ES triple additive] [2010-12-29 07:45:29] [e569a00cc6e8044e6afea1f18dd335a0] [Current]
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Dataseries X:
11974
10106
12069
11412
11180
10508
11288
10928
10199
11030
11234
13747
13912
12376
12264
11675
11271
10672
10933
10379
10187
10747
10970
12175
14200
11676
11258
10872
11148
10690
10684
11658
10178
10981
10773
11665
11359
10716
12928
12317
11641
10459
10953
10703
10703
11101
11334
13268
13145
12334
13153
11289
11374
10914
11299
11284
10694
11077
11104
12820
14915
11773
11608
11468
11511
11200
11164
10960
10667
11556
11372
12333
13102
11115
12572
11557
12059
11420
11185
11113
10706
11523
11391
12634
13469
11735
13281
11968
11623
11084
11509
11134
10438
11530
11491
13093
13106
11305
13113
12203
11309
11088
11234
11619
10942
11445
11291
13281
13726
11300
11983
11092
11093
10692
10786
11166
10553
11103
10969
12090
12544
12264
13783
11214
11453
10883
10381
10348
10024
10805
10796
11907
12261
11377
12689
11474
10992
10764
12164
10409
10398
10349
10865
11630
12221
10884
12019
11021
10799
10423
10484
10450
9906
11049
11281
12485
12849
11380
12079
11366
11328
10444
10854
10434
10137
10992
10906
12367
14371
11695
11546
10922
10670
10254
10573
10239
10253
11176
10719
11817




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time24 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 24 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116608&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]24 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116608&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116608&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 time24 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0855239409013859
beta0.00861805869647365
gamma0.213843782000805

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0855239409013859 \tabularnewline
beta & 0.00861805869647365 \tabularnewline
gamma & 0.213843782000805 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116608&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]0.0855239409013859[/C][/ROW]
[ROW][C]beta[/C][C]0.00861805869647365[/C][/ROW]
[ROW][C]gamma[/C][C]0.213843782000805[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116608&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116608&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0855239409013859
beta0.00861805869647365
gamma0.213843782000805







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131391213713.8616452992198.138354700845
141237612237.3748762257138.625123774269
151226412165.60880813698.3911918640042
161167511602.390961559772.6090384403142
171127111232.521640134338.4783598656832
181067210718.4700223933-46.4700223932668
191093311477.5357001490-544.535700148968
201037910900.3534880909-521.353488090906
211018710028.3946463998158.605353600167
221074710858.3304646311-111.330464631134
231097011042.4315850731-72.4315850730854
241217513542.9311052669-1367.93110526689
251420013640.9564500248559.043549975173
261167612182.5195771599-506.519577159881
271125812046.0567129745-788.056712974529
281087211399.6776304375-527.677630437483
291114810969.0456721942178.954327805764
301069010447.7502384579242.249761542109
311068411131.6761360110-447.676136010969
321165810564.94953303621093.05046696383
33101789962.85854052486215.141459475144
341098110743.7122117321237.287788267908
351077310964.3623258355-191.362325835509
361166513200.3882447923-1535.38824479229
371135913659.8373938020-2300.83739380203
381071611745.2439716718-1029.24397167176
391292811505.44234027381422.55765972615
401231711097.09416418641219.90583581364
411164110953.4479311061687.552068893927
421045910487.7424564449-28.7424564449175
431095311013.0887608071-60.088760807077
441070310780.6078504390-77.607850438977
45107039905.65607107289797.343928927112
461110110739.99996871361.000031290003
471133410886.8640933975447.135906602451
481326812914.5948218803353.405178119687
491314513387.2146794904-242.214679490446
501233411900.1876435763433.812356423736
511315312268.8911989637884.108801036253
521128911778.3830384783-489.383038478321
531137411386.7072670123-12.7072670123343
541091410722.7817716782191.218228321803
551129911262.716082515336.283917484745
561128411037.0284580154246.971541984607
571069410363.1534911704330.846508829552
581107711074.14391161672.85608838331063
591110411208.8309473176-104.830947317561
601282013172.2274431405-352.227443140535
611491513468.70394112521446.29605887484
621177312260.2115706604-487.211570660364
631160812639.4505119112-1031.45051191124
641146811716.3583354729-248.358335472936
651151111438.525321691472.4746783086248
661120010821.839395187378.160604812998
671116411347.6771776742-183.677177674197
681096011144.4301184834-184.430118483384
691066710449.7956701136217.204329886375
701155611086.5765484987469.423451501318
711137211240.1011649544131.898835045560
721233313175.5322214937-842.532221493697
731310213781.5929641904-679.592964190426
741111512011.4189219817-896.418921981742
751257212247.1704316818324.829568318222
761155711592.1481751232-35.1481751232022
771205911394.3852842205664.61471577951
781142010887.6514050885532.348594911535
791118511316.4508788237-131.450878823749
801111311117.206795526-4.20679552599358
811070610516.3438401836189.656159816444
821152311199.8875532506323.112446749357
831139111274.5827522382116.417247761758
841263413017.811776959-383.811776958994
851346913694.9826878066-225.982687806641
861173511921.5511117760-186.551111776020
871328112457.7071262035823.292873796512
881196811776.1598943288191.840105671192
891162311736.0593158455-113.059315845545
901108411137.7844347606-53.7844347605842
911150911387.0482233904121.951776609572
921113411234.9481636655-100.94816366546
931043810664.2398866485-226.239886648505
941153011338.5235486798191.476451320154
951149111361.6543837804129.345616219622
961309313008.290274709784.7097252902804
971310613756.8640629284-650.864062928398
981130511954.9616424890-649.961642489032
991311312648.7791076034464.220892396606
1001220311812.5882983158390.411701684201
1011130911729.5415219505-420.541521950521
1021108811116.0302103273-28.0302103272807
1031123411401.3508410301-167.350841030146
1041161911180.1941898230438.805810177049
1051094210630.8191108987311.180889101328
1061144511432.820484584912.1795154150514
1071129111428.4038341983-137.403834198294
1081328113043.2375723240237.76242767598
1091372613660.908776141765.0912238583114
1101130011920.7947327492-620.794732749246
1111198312835.3927377838-852.392737783768
1121109211871.5978580237-779.597858023662
1131109311528.4705977143-435.470597714348
1141069210988.9983638023-296.998363802333
1151078611222.4310004773-436.431000477263
1161116611094.960274474371.0397255257194
1171055310487.065380071265.9346199287847
1181110311207.3310314392-104.331031439227
1191096911161.3222154438-192.32221544381
1201209012842.4083353394-752.408335339358
1211254413338.4832797733-794.483279773329
1221226411386.9468133375877.053186662453
1231378312381.68072965251401.31927034755
1241121411623.8528924113-409.852892411323
1251145311378.901318110974.098681889076
1261088310909.7218021862-26.7218021862172
1271038111138.8354157542-757.835415754245
1281034811082.7110859067-734.711085906678
1291002410403.9087196856-379.908719685563
1301080511051.4210219283-246.421021928287
1311079610974.6214978413-178.62149784127
1321190712545.930308905-638.930308905003
1331226113042.1446174628-781.14461746276
1341137711417.2983454144-40.2983454144105
1351268912434.0955471457254.904452854324
1361147411221.1889642829252.811035717121
1371099211125.1895708322-133.189570832175
1381076410616.0526039754147.947396024572
1391216410714.74702813371449.25297186628
1401040910851.1457581461-442.145758146078
1411039810266.2058348480131.794165152029
1421034910983.4200440787-634.420044078666
1431086510886.2447473934-21.2447473933717
1441163012380.6622302628-750.662230262773
1451222112839.0926009216-618.092600921605
1461088411372.7701024268-488.77010242679
1471201912408.3127903861-389.312790386075
1481102111138.7981807552-117.798180755239
1491079910934.2426618679-135.242661867938
1501042310478.5305294948-55.530529494763
1511048410812.7722607621-328.7722607621
1521045010424.396961658625.6030383414291
15399069989.204556255-83.2045562550065
1541104910535.5426932424513.457306757588
1551128110654.6424414418626.357558558153
1561248512060.4760347732424.523965226803
1571284912644.8756468006204.124353199360
1581138011274.3060916889105.693908311061
1591207912380.7212565589-301.721256558851
1601136611172.4406195528193.559380447236
1611132810991.9785115000336.021488499970
1621044410593.3824404453-149.382440445264
1631085410867.3182072975-13.3182072974505
1641043410576.6085687239-142.608568723932
1651013710107.015110470229.9848895298455
1661099210781.0602411463210.939758853718
1671090610897.48910092668.51089907344976
1681236712211.6804503702155.319549629827
1691437112730.42598182571640.57401817425
1701169511464.9870234456230.012976554448
1711154612503.9823220540-957.982322054046
1721092211337.566526828-415.566526828008
1731067011133.5560544401-463.55605444014
1741025410571.7517609036-317.751760903628
1751057310857.8698415874-284.869841587413
1761023910518.4263887194-279.426388719361
1771025310070.5561374226182.443862577447
1781117610792.8120522472383.187947752767
1791071910884.2984910501-165.298491050124
1801181712212.1182532878-395.118253287785

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 13912 & 13713.8616452992 & 198.138354700845 \tabularnewline
14 & 12376 & 12237.3748762257 & 138.625123774269 \tabularnewline
15 & 12264 & 12165.608808136 & 98.3911918640042 \tabularnewline
16 & 11675 & 11602.3909615597 & 72.6090384403142 \tabularnewline
17 & 11271 & 11232.5216401343 & 38.4783598656832 \tabularnewline
18 & 10672 & 10718.4700223933 & -46.4700223932668 \tabularnewline
19 & 10933 & 11477.5357001490 & -544.535700148968 \tabularnewline
20 & 10379 & 10900.3534880909 & -521.353488090906 \tabularnewline
21 & 10187 & 10028.3946463998 & 158.605353600167 \tabularnewline
22 & 10747 & 10858.3304646311 & -111.330464631134 \tabularnewline
23 & 10970 & 11042.4315850731 & -72.4315850730854 \tabularnewline
24 & 12175 & 13542.9311052669 & -1367.93110526689 \tabularnewline
25 & 14200 & 13640.9564500248 & 559.043549975173 \tabularnewline
26 & 11676 & 12182.5195771599 & -506.519577159881 \tabularnewline
27 & 11258 & 12046.0567129745 & -788.056712974529 \tabularnewline
28 & 10872 & 11399.6776304375 & -527.677630437483 \tabularnewline
29 & 11148 & 10969.0456721942 & 178.954327805764 \tabularnewline
30 & 10690 & 10447.7502384579 & 242.249761542109 \tabularnewline
31 & 10684 & 11131.6761360110 & -447.676136010969 \tabularnewline
32 & 11658 & 10564.9495330362 & 1093.05046696383 \tabularnewline
33 & 10178 & 9962.85854052486 & 215.141459475144 \tabularnewline
34 & 10981 & 10743.7122117321 & 237.287788267908 \tabularnewline
35 & 10773 & 10964.3623258355 & -191.362325835509 \tabularnewline
36 & 11665 & 13200.3882447923 & -1535.38824479229 \tabularnewline
37 & 11359 & 13659.8373938020 & -2300.83739380203 \tabularnewline
38 & 10716 & 11745.2439716718 & -1029.24397167176 \tabularnewline
39 & 12928 & 11505.4423402738 & 1422.55765972615 \tabularnewline
40 & 12317 & 11097.0941641864 & 1219.90583581364 \tabularnewline
41 & 11641 & 10953.4479311061 & 687.552068893927 \tabularnewline
42 & 10459 & 10487.7424564449 & -28.7424564449175 \tabularnewline
43 & 10953 & 11013.0887608071 & -60.088760807077 \tabularnewline
44 & 10703 & 10780.6078504390 & -77.607850438977 \tabularnewline
45 & 10703 & 9905.65607107289 & 797.343928927112 \tabularnewline
46 & 11101 & 10739.99996871 & 361.000031290003 \tabularnewline
47 & 11334 & 10886.8640933975 & 447.135906602451 \tabularnewline
48 & 13268 & 12914.5948218803 & 353.405178119687 \tabularnewline
49 & 13145 & 13387.2146794904 & -242.214679490446 \tabularnewline
50 & 12334 & 11900.1876435763 & 433.812356423736 \tabularnewline
51 & 13153 & 12268.8911989637 & 884.108801036253 \tabularnewline
52 & 11289 & 11778.3830384783 & -489.383038478321 \tabularnewline
53 & 11374 & 11386.7072670123 & -12.7072670123343 \tabularnewline
54 & 10914 & 10722.7817716782 & 191.218228321803 \tabularnewline
55 & 11299 & 11262.7160825153 & 36.283917484745 \tabularnewline
56 & 11284 & 11037.0284580154 & 246.971541984607 \tabularnewline
57 & 10694 & 10363.1534911704 & 330.846508829552 \tabularnewline
58 & 11077 & 11074.1439116167 & 2.85608838331063 \tabularnewline
59 & 11104 & 11208.8309473176 & -104.830947317561 \tabularnewline
60 & 12820 & 13172.2274431405 & -352.227443140535 \tabularnewline
61 & 14915 & 13468.7039411252 & 1446.29605887484 \tabularnewline
62 & 11773 & 12260.2115706604 & -487.211570660364 \tabularnewline
63 & 11608 & 12639.4505119112 & -1031.45051191124 \tabularnewline
64 & 11468 & 11716.3583354729 & -248.358335472936 \tabularnewline
65 & 11511 & 11438.5253216914 & 72.4746783086248 \tabularnewline
66 & 11200 & 10821.839395187 & 378.160604812998 \tabularnewline
67 & 11164 & 11347.6771776742 & -183.677177674197 \tabularnewline
68 & 10960 & 11144.4301184834 & -184.430118483384 \tabularnewline
69 & 10667 & 10449.7956701136 & 217.204329886375 \tabularnewline
70 & 11556 & 11086.5765484987 & 469.423451501318 \tabularnewline
71 & 11372 & 11240.1011649544 & 131.898835045560 \tabularnewline
72 & 12333 & 13175.5322214937 & -842.532221493697 \tabularnewline
73 & 13102 & 13781.5929641904 & -679.592964190426 \tabularnewline
74 & 11115 & 12011.4189219817 & -896.418921981742 \tabularnewline
75 & 12572 & 12247.1704316818 & 324.829568318222 \tabularnewline
76 & 11557 & 11592.1481751232 & -35.1481751232022 \tabularnewline
77 & 12059 & 11394.3852842205 & 664.61471577951 \tabularnewline
78 & 11420 & 10887.6514050885 & 532.348594911535 \tabularnewline
79 & 11185 & 11316.4508788237 & -131.450878823749 \tabularnewline
80 & 11113 & 11117.206795526 & -4.20679552599358 \tabularnewline
81 & 10706 & 10516.3438401836 & 189.656159816444 \tabularnewline
82 & 11523 & 11199.8875532506 & 323.112446749357 \tabularnewline
83 & 11391 & 11274.5827522382 & 116.417247761758 \tabularnewline
84 & 12634 & 13017.811776959 & -383.811776958994 \tabularnewline
85 & 13469 & 13694.9826878066 & -225.982687806641 \tabularnewline
86 & 11735 & 11921.5511117760 & -186.551111776020 \tabularnewline
87 & 13281 & 12457.7071262035 & 823.292873796512 \tabularnewline
88 & 11968 & 11776.1598943288 & 191.840105671192 \tabularnewline
89 & 11623 & 11736.0593158455 & -113.059315845545 \tabularnewline
90 & 11084 & 11137.7844347606 & -53.7844347605842 \tabularnewline
91 & 11509 & 11387.0482233904 & 121.951776609572 \tabularnewline
92 & 11134 & 11234.9481636655 & -100.94816366546 \tabularnewline
93 & 10438 & 10664.2398866485 & -226.239886648505 \tabularnewline
94 & 11530 & 11338.5235486798 & 191.476451320154 \tabularnewline
95 & 11491 & 11361.6543837804 & 129.345616219622 \tabularnewline
96 & 13093 & 13008.2902747097 & 84.7097252902804 \tabularnewline
97 & 13106 & 13756.8640629284 & -650.864062928398 \tabularnewline
98 & 11305 & 11954.9616424890 & -649.961642489032 \tabularnewline
99 & 13113 & 12648.7791076034 & 464.220892396606 \tabularnewline
100 & 12203 & 11812.5882983158 & 390.411701684201 \tabularnewline
101 & 11309 & 11729.5415219505 & -420.541521950521 \tabularnewline
102 & 11088 & 11116.0302103273 & -28.0302103272807 \tabularnewline
103 & 11234 & 11401.3508410301 & -167.350841030146 \tabularnewline
104 & 11619 & 11180.1941898230 & 438.805810177049 \tabularnewline
105 & 10942 & 10630.8191108987 & 311.180889101328 \tabularnewline
106 & 11445 & 11432.8204845849 & 12.1795154150514 \tabularnewline
107 & 11291 & 11428.4038341983 & -137.403834198294 \tabularnewline
108 & 13281 & 13043.2375723240 & 237.76242767598 \tabularnewline
109 & 13726 & 13660.9087761417 & 65.0912238583114 \tabularnewline
110 & 11300 & 11920.7947327492 & -620.794732749246 \tabularnewline
111 & 11983 & 12835.3927377838 & -852.392737783768 \tabularnewline
112 & 11092 & 11871.5978580237 & -779.597858023662 \tabularnewline
113 & 11093 & 11528.4705977143 & -435.470597714348 \tabularnewline
114 & 10692 & 10988.9983638023 & -296.998363802333 \tabularnewline
115 & 10786 & 11222.4310004773 & -436.431000477263 \tabularnewline
116 & 11166 & 11094.9602744743 & 71.0397255257194 \tabularnewline
117 & 10553 & 10487.0653800712 & 65.9346199287847 \tabularnewline
118 & 11103 & 11207.3310314392 & -104.331031439227 \tabularnewline
119 & 10969 & 11161.3222154438 & -192.32221544381 \tabularnewline
120 & 12090 & 12842.4083353394 & -752.408335339358 \tabularnewline
121 & 12544 & 13338.4832797733 & -794.483279773329 \tabularnewline
122 & 12264 & 11386.9468133375 & 877.053186662453 \tabularnewline
123 & 13783 & 12381.6807296525 & 1401.31927034755 \tabularnewline
124 & 11214 & 11623.8528924113 & -409.852892411323 \tabularnewline
125 & 11453 & 11378.9013181109 & 74.098681889076 \tabularnewline
126 & 10883 & 10909.7218021862 & -26.7218021862172 \tabularnewline
127 & 10381 & 11138.8354157542 & -757.835415754245 \tabularnewline
128 & 10348 & 11082.7110859067 & -734.711085906678 \tabularnewline
129 & 10024 & 10403.9087196856 & -379.908719685563 \tabularnewline
130 & 10805 & 11051.4210219283 & -246.421021928287 \tabularnewline
131 & 10796 & 10974.6214978413 & -178.62149784127 \tabularnewline
132 & 11907 & 12545.930308905 & -638.930308905003 \tabularnewline
133 & 12261 & 13042.1446174628 & -781.14461746276 \tabularnewline
134 & 11377 & 11417.2983454144 & -40.2983454144105 \tabularnewline
135 & 12689 & 12434.0955471457 & 254.904452854324 \tabularnewline
136 & 11474 & 11221.1889642829 & 252.811035717121 \tabularnewline
137 & 10992 & 11125.1895708322 & -133.189570832175 \tabularnewline
138 & 10764 & 10616.0526039754 & 147.947396024572 \tabularnewline
139 & 12164 & 10714.7470281337 & 1449.25297186628 \tabularnewline
140 & 10409 & 10851.1457581461 & -442.145758146078 \tabularnewline
141 & 10398 & 10266.2058348480 & 131.794165152029 \tabularnewline
142 & 10349 & 10983.4200440787 & -634.420044078666 \tabularnewline
143 & 10865 & 10886.2447473934 & -21.2447473933717 \tabularnewline
144 & 11630 & 12380.6622302628 & -750.662230262773 \tabularnewline
145 & 12221 & 12839.0926009216 & -618.092600921605 \tabularnewline
146 & 10884 & 11372.7701024268 & -488.77010242679 \tabularnewline
147 & 12019 & 12408.3127903861 & -389.312790386075 \tabularnewline
148 & 11021 & 11138.7981807552 & -117.798180755239 \tabularnewline
149 & 10799 & 10934.2426618679 & -135.242661867938 \tabularnewline
150 & 10423 & 10478.5305294948 & -55.530529494763 \tabularnewline
151 & 10484 & 10812.7722607621 & -328.7722607621 \tabularnewline
152 & 10450 & 10424.3969616586 & 25.6030383414291 \tabularnewline
153 & 9906 & 9989.204556255 & -83.2045562550065 \tabularnewline
154 & 11049 & 10535.5426932424 & 513.457306757588 \tabularnewline
155 & 11281 & 10654.6424414418 & 626.357558558153 \tabularnewline
156 & 12485 & 12060.4760347732 & 424.523965226803 \tabularnewline
157 & 12849 & 12644.8756468006 & 204.124353199360 \tabularnewline
158 & 11380 & 11274.3060916889 & 105.693908311061 \tabularnewline
159 & 12079 & 12380.7212565589 & -301.721256558851 \tabularnewline
160 & 11366 & 11172.4406195528 & 193.559380447236 \tabularnewline
161 & 11328 & 10991.9785115000 & 336.021488499970 \tabularnewline
162 & 10444 & 10593.3824404453 & -149.382440445264 \tabularnewline
163 & 10854 & 10867.3182072975 & -13.3182072974505 \tabularnewline
164 & 10434 & 10576.6085687239 & -142.608568723932 \tabularnewline
165 & 10137 & 10107.0151104702 & 29.9848895298455 \tabularnewline
166 & 10992 & 10781.0602411463 & 210.939758853718 \tabularnewline
167 & 10906 & 10897.4891009266 & 8.51089907344976 \tabularnewline
168 & 12367 & 12211.6804503702 & 155.319549629827 \tabularnewline
169 & 14371 & 12730.4259818257 & 1640.57401817425 \tabularnewline
170 & 11695 & 11464.9870234456 & 230.012976554448 \tabularnewline
171 & 11546 & 12503.9823220540 & -957.982322054046 \tabularnewline
172 & 10922 & 11337.566526828 & -415.566526828008 \tabularnewline
173 & 10670 & 11133.5560544401 & -463.55605444014 \tabularnewline
174 & 10254 & 10571.7517609036 & -317.751760903628 \tabularnewline
175 & 10573 & 10857.8698415874 & -284.869841587413 \tabularnewline
176 & 10239 & 10518.4263887194 & -279.426388719361 \tabularnewline
177 & 10253 & 10070.5561374226 & 182.443862577447 \tabularnewline
178 & 11176 & 10792.8120522472 & 383.187947752767 \tabularnewline
179 & 10719 & 10884.2984910501 & -165.298491050124 \tabularnewline
180 & 11817 & 12212.1182532878 & -395.118253287785 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116608&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]13912[/C][C]13713.8616452992[/C][C]198.138354700845[/C][/ROW]
[ROW][C]14[/C][C]12376[/C][C]12237.3748762257[/C][C]138.625123774269[/C][/ROW]
[ROW][C]15[/C][C]12264[/C][C]12165.608808136[/C][C]98.3911918640042[/C][/ROW]
[ROW][C]16[/C][C]11675[/C][C]11602.3909615597[/C][C]72.6090384403142[/C][/ROW]
[ROW][C]17[/C][C]11271[/C][C]11232.5216401343[/C][C]38.4783598656832[/C][/ROW]
[ROW][C]18[/C][C]10672[/C][C]10718.4700223933[/C][C]-46.4700223932668[/C][/ROW]
[ROW][C]19[/C][C]10933[/C][C]11477.5357001490[/C][C]-544.535700148968[/C][/ROW]
[ROW][C]20[/C][C]10379[/C][C]10900.3534880909[/C][C]-521.353488090906[/C][/ROW]
[ROW][C]21[/C][C]10187[/C][C]10028.3946463998[/C][C]158.605353600167[/C][/ROW]
[ROW][C]22[/C][C]10747[/C][C]10858.3304646311[/C][C]-111.330464631134[/C][/ROW]
[ROW][C]23[/C][C]10970[/C][C]11042.4315850731[/C][C]-72.4315850730854[/C][/ROW]
[ROW][C]24[/C][C]12175[/C][C]13542.9311052669[/C][C]-1367.93110526689[/C][/ROW]
[ROW][C]25[/C][C]14200[/C][C]13640.9564500248[/C][C]559.043549975173[/C][/ROW]
[ROW][C]26[/C][C]11676[/C][C]12182.5195771599[/C][C]-506.519577159881[/C][/ROW]
[ROW][C]27[/C][C]11258[/C][C]12046.0567129745[/C][C]-788.056712974529[/C][/ROW]
[ROW][C]28[/C][C]10872[/C][C]11399.6776304375[/C][C]-527.677630437483[/C][/ROW]
[ROW][C]29[/C][C]11148[/C][C]10969.0456721942[/C][C]178.954327805764[/C][/ROW]
[ROW][C]30[/C][C]10690[/C][C]10447.7502384579[/C][C]242.249761542109[/C][/ROW]
[ROW][C]31[/C][C]10684[/C][C]11131.6761360110[/C][C]-447.676136010969[/C][/ROW]
[ROW][C]32[/C][C]11658[/C][C]10564.9495330362[/C][C]1093.05046696383[/C][/ROW]
[ROW][C]33[/C][C]10178[/C][C]9962.85854052486[/C][C]215.141459475144[/C][/ROW]
[ROW][C]34[/C][C]10981[/C][C]10743.7122117321[/C][C]237.287788267908[/C][/ROW]
[ROW][C]35[/C][C]10773[/C][C]10964.3623258355[/C][C]-191.362325835509[/C][/ROW]
[ROW][C]36[/C][C]11665[/C][C]13200.3882447923[/C][C]-1535.38824479229[/C][/ROW]
[ROW][C]37[/C][C]11359[/C][C]13659.8373938020[/C][C]-2300.83739380203[/C][/ROW]
[ROW][C]38[/C][C]10716[/C][C]11745.2439716718[/C][C]-1029.24397167176[/C][/ROW]
[ROW][C]39[/C][C]12928[/C][C]11505.4423402738[/C][C]1422.55765972615[/C][/ROW]
[ROW][C]40[/C][C]12317[/C][C]11097.0941641864[/C][C]1219.90583581364[/C][/ROW]
[ROW][C]41[/C][C]11641[/C][C]10953.4479311061[/C][C]687.552068893927[/C][/ROW]
[ROW][C]42[/C][C]10459[/C][C]10487.7424564449[/C][C]-28.7424564449175[/C][/ROW]
[ROW][C]43[/C][C]10953[/C][C]11013.0887608071[/C][C]-60.088760807077[/C][/ROW]
[ROW][C]44[/C][C]10703[/C][C]10780.6078504390[/C][C]-77.607850438977[/C][/ROW]
[ROW][C]45[/C][C]10703[/C][C]9905.65607107289[/C][C]797.343928927112[/C][/ROW]
[ROW][C]46[/C][C]11101[/C][C]10739.99996871[/C][C]361.000031290003[/C][/ROW]
[ROW][C]47[/C][C]11334[/C][C]10886.8640933975[/C][C]447.135906602451[/C][/ROW]
[ROW][C]48[/C][C]13268[/C][C]12914.5948218803[/C][C]353.405178119687[/C][/ROW]
[ROW][C]49[/C][C]13145[/C][C]13387.2146794904[/C][C]-242.214679490446[/C][/ROW]
[ROW][C]50[/C][C]12334[/C][C]11900.1876435763[/C][C]433.812356423736[/C][/ROW]
[ROW][C]51[/C][C]13153[/C][C]12268.8911989637[/C][C]884.108801036253[/C][/ROW]
[ROW][C]52[/C][C]11289[/C][C]11778.3830384783[/C][C]-489.383038478321[/C][/ROW]
[ROW][C]53[/C][C]11374[/C][C]11386.7072670123[/C][C]-12.7072670123343[/C][/ROW]
[ROW][C]54[/C][C]10914[/C][C]10722.7817716782[/C][C]191.218228321803[/C][/ROW]
[ROW][C]55[/C][C]11299[/C][C]11262.7160825153[/C][C]36.283917484745[/C][/ROW]
[ROW][C]56[/C][C]11284[/C][C]11037.0284580154[/C][C]246.971541984607[/C][/ROW]
[ROW][C]57[/C][C]10694[/C][C]10363.1534911704[/C][C]330.846508829552[/C][/ROW]
[ROW][C]58[/C][C]11077[/C][C]11074.1439116167[/C][C]2.85608838331063[/C][/ROW]
[ROW][C]59[/C][C]11104[/C][C]11208.8309473176[/C][C]-104.830947317561[/C][/ROW]
[ROW][C]60[/C][C]12820[/C][C]13172.2274431405[/C][C]-352.227443140535[/C][/ROW]
[ROW][C]61[/C][C]14915[/C][C]13468.7039411252[/C][C]1446.29605887484[/C][/ROW]
[ROW][C]62[/C][C]11773[/C][C]12260.2115706604[/C][C]-487.211570660364[/C][/ROW]
[ROW][C]63[/C][C]11608[/C][C]12639.4505119112[/C][C]-1031.45051191124[/C][/ROW]
[ROW][C]64[/C][C]11468[/C][C]11716.3583354729[/C][C]-248.358335472936[/C][/ROW]
[ROW][C]65[/C][C]11511[/C][C]11438.5253216914[/C][C]72.4746783086248[/C][/ROW]
[ROW][C]66[/C][C]11200[/C][C]10821.839395187[/C][C]378.160604812998[/C][/ROW]
[ROW][C]67[/C][C]11164[/C][C]11347.6771776742[/C][C]-183.677177674197[/C][/ROW]
[ROW][C]68[/C][C]10960[/C][C]11144.4301184834[/C][C]-184.430118483384[/C][/ROW]
[ROW][C]69[/C][C]10667[/C][C]10449.7956701136[/C][C]217.204329886375[/C][/ROW]
[ROW][C]70[/C][C]11556[/C][C]11086.5765484987[/C][C]469.423451501318[/C][/ROW]
[ROW][C]71[/C][C]11372[/C][C]11240.1011649544[/C][C]131.898835045560[/C][/ROW]
[ROW][C]72[/C][C]12333[/C][C]13175.5322214937[/C][C]-842.532221493697[/C][/ROW]
[ROW][C]73[/C][C]13102[/C][C]13781.5929641904[/C][C]-679.592964190426[/C][/ROW]
[ROW][C]74[/C][C]11115[/C][C]12011.4189219817[/C][C]-896.418921981742[/C][/ROW]
[ROW][C]75[/C][C]12572[/C][C]12247.1704316818[/C][C]324.829568318222[/C][/ROW]
[ROW][C]76[/C][C]11557[/C][C]11592.1481751232[/C][C]-35.1481751232022[/C][/ROW]
[ROW][C]77[/C][C]12059[/C][C]11394.3852842205[/C][C]664.61471577951[/C][/ROW]
[ROW][C]78[/C][C]11420[/C][C]10887.6514050885[/C][C]532.348594911535[/C][/ROW]
[ROW][C]79[/C][C]11185[/C][C]11316.4508788237[/C][C]-131.450878823749[/C][/ROW]
[ROW][C]80[/C][C]11113[/C][C]11117.206795526[/C][C]-4.20679552599358[/C][/ROW]
[ROW][C]81[/C][C]10706[/C][C]10516.3438401836[/C][C]189.656159816444[/C][/ROW]
[ROW][C]82[/C][C]11523[/C][C]11199.8875532506[/C][C]323.112446749357[/C][/ROW]
[ROW][C]83[/C][C]11391[/C][C]11274.5827522382[/C][C]116.417247761758[/C][/ROW]
[ROW][C]84[/C][C]12634[/C][C]13017.811776959[/C][C]-383.811776958994[/C][/ROW]
[ROW][C]85[/C][C]13469[/C][C]13694.9826878066[/C][C]-225.982687806641[/C][/ROW]
[ROW][C]86[/C][C]11735[/C][C]11921.5511117760[/C][C]-186.551111776020[/C][/ROW]
[ROW][C]87[/C][C]13281[/C][C]12457.7071262035[/C][C]823.292873796512[/C][/ROW]
[ROW][C]88[/C][C]11968[/C][C]11776.1598943288[/C][C]191.840105671192[/C][/ROW]
[ROW][C]89[/C][C]11623[/C][C]11736.0593158455[/C][C]-113.059315845545[/C][/ROW]
[ROW][C]90[/C][C]11084[/C][C]11137.7844347606[/C][C]-53.7844347605842[/C][/ROW]
[ROW][C]91[/C][C]11509[/C][C]11387.0482233904[/C][C]121.951776609572[/C][/ROW]
[ROW][C]92[/C][C]11134[/C][C]11234.9481636655[/C][C]-100.94816366546[/C][/ROW]
[ROW][C]93[/C][C]10438[/C][C]10664.2398866485[/C][C]-226.239886648505[/C][/ROW]
[ROW][C]94[/C][C]11530[/C][C]11338.5235486798[/C][C]191.476451320154[/C][/ROW]
[ROW][C]95[/C][C]11491[/C][C]11361.6543837804[/C][C]129.345616219622[/C][/ROW]
[ROW][C]96[/C][C]13093[/C][C]13008.2902747097[/C][C]84.7097252902804[/C][/ROW]
[ROW][C]97[/C][C]13106[/C][C]13756.8640629284[/C][C]-650.864062928398[/C][/ROW]
[ROW][C]98[/C][C]11305[/C][C]11954.9616424890[/C][C]-649.961642489032[/C][/ROW]
[ROW][C]99[/C][C]13113[/C][C]12648.7791076034[/C][C]464.220892396606[/C][/ROW]
[ROW][C]100[/C][C]12203[/C][C]11812.5882983158[/C][C]390.411701684201[/C][/ROW]
[ROW][C]101[/C][C]11309[/C][C]11729.5415219505[/C][C]-420.541521950521[/C][/ROW]
[ROW][C]102[/C][C]11088[/C][C]11116.0302103273[/C][C]-28.0302103272807[/C][/ROW]
[ROW][C]103[/C][C]11234[/C][C]11401.3508410301[/C][C]-167.350841030146[/C][/ROW]
[ROW][C]104[/C][C]11619[/C][C]11180.1941898230[/C][C]438.805810177049[/C][/ROW]
[ROW][C]105[/C][C]10942[/C][C]10630.8191108987[/C][C]311.180889101328[/C][/ROW]
[ROW][C]106[/C][C]11445[/C][C]11432.8204845849[/C][C]12.1795154150514[/C][/ROW]
[ROW][C]107[/C][C]11291[/C][C]11428.4038341983[/C][C]-137.403834198294[/C][/ROW]
[ROW][C]108[/C][C]13281[/C][C]13043.2375723240[/C][C]237.76242767598[/C][/ROW]
[ROW][C]109[/C][C]13726[/C][C]13660.9087761417[/C][C]65.0912238583114[/C][/ROW]
[ROW][C]110[/C][C]11300[/C][C]11920.7947327492[/C][C]-620.794732749246[/C][/ROW]
[ROW][C]111[/C][C]11983[/C][C]12835.3927377838[/C][C]-852.392737783768[/C][/ROW]
[ROW][C]112[/C][C]11092[/C][C]11871.5978580237[/C][C]-779.597858023662[/C][/ROW]
[ROW][C]113[/C][C]11093[/C][C]11528.4705977143[/C][C]-435.470597714348[/C][/ROW]
[ROW][C]114[/C][C]10692[/C][C]10988.9983638023[/C][C]-296.998363802333[/C][/ROW]
[ROW][C]115[/C][C]10786[/C][C]11222.4310004773[/C][C]-436.431000477263[/C][/ROW]
[ROW][C]116[/C][C]11166[/C][C]11094.9602744743[/C][C]71.0397255257194[/C][/ROW]
[ROW][C]117[/C][C]10553[/C][C]10487.0653800712[/C][C]65.9346199287847[/C][/ROW]
[ROW][C]118[/C][C]11103[/C][C]11207.3310314392[/C][C]-104.331031439227[/C][/ROW]
[ROW][C]119[/C][C]10969[/C][C]11161.3222154438[/C][C]-192.32221544381[/C][/ROW]
[ROW][C]120[/C][C]12090[/C][C]12842.4083353394[/C][C]-752.408335339358[/C][/ROW]
[ROW][C]121[/C][C]12544[/C][C]13338.4832797733[/C][C]-794.483279773329[/C][/ROW]
[ROW][C]122[/C][C]12264[/C][C]11386.9468133375[/C][C]877.053186662453[/C][/ROW]
[ROW][C]123[/C][C]13783[/C][C]12381.6807296525[/C][C]1401.31927034755[/C][/ROW]
[ROW][C]124[/C][C]11214[/C][C]11623.8528924113[/C][C]-409.852892411323[/C][/ROW]
[ROW][C]125[/C][C]11453[/C][C]11378.9013181109[/C][C]74.098681889076[/C][/ROW]
[ROW][C]126[/C][C]10883[/C][C]10909.7218021862[/C][C]-26.7218021862172[/C][/ROW]
[ROW][C]127[/C][C]10381[/C][C]11138.8354157542[/C][C]-757.835415754245[/C][/ROW]
[ROW][C]128[/C][C]10348[/C][C]11082.7110859067[/C][C]-734.711085906678[/C][/ROW]
[ROW][C]129[/C][C]10024[/C][C]10403.9087196856[/C][C]-379.908719685563[/C][/ROW]
[ROW][C]130[/C][C]10805[/C][C]11051.4210219283[/C][C]-246.421021928287[/C][/ROW]
[ROW][C]131[/C][C]10796[/C][C]10974.6214978413[/C][C]-178.62149784127[/C][/ROW]
[ROW][C]132[/C][C]11907[/C][C]12545.930308905[/C][C]-638.930308905003[/C][/ROW]
[ROW][C]133[/C][C]12261[/C][C]13042.1446174628[/C][C]-781.14461746276[/C][/ROW]
[ROW][C]134[/C][C]11377[/C][C]11417.2983454144[/C][C]-40.2983454144105[/C][/ROW]
[ROW][C]135[/C][C]12689[/C][C]12434.0955471457[/C][C]254.904452854324[/C][/ROW]
[ROW][C]136[/C][C]11474[/C][C]11221.1889642829[/C][C]252.811035717121[/C][/ROW]
[ROW][C]137[/C][C]10992[/C][C]11125.1895708322[/C][C]-133.189570832175[/C][/ROW]
[ROW][C]138[/C][C]10764[/C][C]10616.0526039754[/C][C]147.947396024572[/C][/ROW]
[ROW][C]139[/C][C]12164[/C][C]10714.7470281337[/C][C]1449.25297186628[/C][/ROW]
[ROW][C]140[/C][C]10409[/C][C]10851.1457581461[/C][C]-442.145758146078[/C][/ROW]
[ROW][C]141[/C][C]10398[/C][C]10266.2058348480[/C][C]131.794165152029[/C][/ROW]
[ROW][C]142[/C][C]10349[/C][C]10983.4200440787[/C][C]-634.420044078666[/C][/ROW]
[ROW][C]143[/C][C]10865[/C][C]10886.2447473934[/C][C]-21.2447473933717[/C][/ROW]
[ROW][C]144[/C][C]11630[/C][C]12380.6622302628[/C][C]-750.662230262773[/C][/ROW]
[ROW][C]145[/C][C]12221[/C][C]12839.0926009216[/C][C]-618.092600921605[/C][/ROW]
[ROW][C]146[/C][C]10884[/C][C]11372.7701024268[/C][C]-488.77010242679[/C][/ROW]
[ROW][C]147[/C][C]12019[/C][C]12408.3127903861[/C][C]-389.312790386075[/C][/ROW]
[ROW][C]148[/C][C]11021[/C][C]11138.7981807552[/C][C]-117.798180755239[/C][/ROW]
[ROW][C]149[/C][C]10799[/C][C]10934.2426618679[/C][C]-135.242661867938[/C][/ROW]
[ROW][C]150[/C][C]10423[/C][C]10478.5305294948[/C][C]-55.530529494763[/C][/ROW]
[ROW][C]151[/C][C]10484[/C][C]10812.7722607621[/C][C]-328.7722607621[/C][/ROW]
[ROW][C]152[/C][C]10450[/C][C]10424.3969616586[/C][C]25.6030383414291[/C][/ROW]
[ROW][C]153[/C][C]9906[/C][C]9989.204556255[/C][C]-83.2045562550065[/C][/ROW]
[ROW][C]154[/C][C]11049[/C][C]10535.5426932424[/C][C]513.457306757588[/C][/ROW]
[ROW][C]155[/C][C]11281[/C][C]10654.6424414418[/C][C]626.357558558153[/C][/ROW]
[ROW][C]156[/C][C]12485[/C][C]12060.4760347732[/C][C]424.523965226803[/C][/ROW]
[ROW][C]157[/C][C]12849[/C][C]12644.8756468006[/C][C]204.124353199360[/C][/ROW]
[ROW][C]158[/C][C]11380[/C][C]11274.3060916889[/C][C]105.693908311061[/C][/ROW]
[ROW][C]159[/C][C]12079[/C][C]12380.7212565589[/C][C]-301.721256558851[/C][/ROW]
[ROW][C]160[/C][C]11366[/C][C]11172.4406195528[/C][C]193.559380447236[/C][/ROW]
[ROW][C]161[/C][C]11328[/C][C]10991.9785115000[/C][C]336.021488499970[/C][/ROW]
[ROW][C]162[/C][C]10444[/C][C]10593.3824404453[/C][C]-149.382440445264[/C][/ROW]
[ROW][C]163[/C][C]10854[/C][C]10867.3182072975[/C][C]-13.3182072974505[/C][/ROW]
[ROW][C]164[/C][C]10434[/C][C]10576.6085687239[/C][C]-142.608568723932[/C][/ROW]
[ROW][C]165[/C][C]10137[/C][C]10107.0151104702[/C][C]29.9848895298455[/C][/ROW]
[ROW][C]166[/C][C]10992[/C][C]10781.0602411463[/C][C]210.939758853718[/C][/ROW]
[ROW][C]167[/C][C]10906[/C][C]10897.4891009266[/C][C]8.51089907344976[/C][/ROW]
[ROW][C]168[/C][C]12367[/C][C]12211.6804503702[/C][C]155.319549629827[/C][/ROW]
[ROW][C]169[/C][C]14371[/C][C]12730.4259818257[/C][C]1640.57401817425[/C][/ROW]
[ROW][C]170[/C][C]11695[/C][C]11464.9870234456[/C][C]230.012976554448[/C][/ROW]
[ROW][C]171[/C][C]11546[/C][C]12503.9823220540[/C][C]-957.982322054046[/C][/ROW]
[ROW][C]172[/C][C]10922[/C][C]11337.566526828[/C][C]-415.566526828008[/C][/ROW]
[ROW][C]173[/C][C]10670[/C][C]11133.5560544401[/C][C]-463.55605444014[/C][/ROW]
[ROW][C]174[/C][C]10254[/C][C]10571.7517609036[/C][C]-317.751760903628[/C][/ROW]
[ROW][C]175[/C][C]10573[/C][C]10857.8698415874[/C][C]-284.869841587413[/C][/ROW]
[ROW][C]176[/C][C]10239[/C][C]10518.4263887194[/C][C]-279.426388719361[/C][/ROW]
[ROW][C]177[/C][C]10253[/C][C]10070.5561374226[/C][C]182.443862577447[/C][/ROW]
[ROW][C]178[/C][C]11176[/C][C]10792.8120522472[/C][C]383.187947752767[/C][/ROW]
[ROW][C]179[/C][C]10719[/C][C]10884.2984910501[/C][C]-165.298491050124[/C][/ROW]
[ROW][C]180[/C][C]11817[/C][C]12212.1182532878[/C][C]-395.118253287785[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116608&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116608&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131391213713.8616452992198.138354700845
141237612237.3748762257138.625123774269
151226412165.60880813698.3911918640042
161167511602.390961559772.6090384403142
171127111232.521640134338.4783598656832
181067210718.4700223933-46.4700223932668
191093311477.5357001490-544.535700148968
201037910900.3534880909-521.353488090906
211018710028.3946463998158.605353600167
221074710858.3304646311-111.330464631134
231097011042.4315850731-72.4315850730854
241217513542.9311052669-1367.93110526689
251420013640.9564500248559.043549975173
261167612182.5195771599-506.519577159881
271125812046.0567129745-788.056712974529
281087211399.6776304375-527.677630437483
291114810969.0456721942178.954327805764
301069010447.7502384579242.249761542109
311068411131.6761360110-447.676136010969
321165810564.94953303621093.05046696383
33101789962.85854052486215.141459475144
341098110743.7122117321237.287788267908
351077310964.3623258355-191.362325835509
361166513200.3882447923-1535.38824479229
371135913659.8373938020-2300.83739380203
381071611745.2439716718-1029.24397167176
391292811505.44234027381422.55765972615
401231711097.09416418641219.90583581364
411164110953.4479311061687.552068893927
421045910487.7424564449-28.7424564449175
431095311013.0887608071-60.088760807077
441070310780.6078504390-77.607850438977
45107039905.65607107289797.343928927112
461110110739.99996871361.000031290003
471133410886.8640933975447.135906602451
481326812914.5948218803353.405178119687
491314513387.2146794904-242.214679490446
501233411900.1876435763433.812356423736
511315312268.8911989637884.108801036253
521128911778.3830384783-489.383038478321
531137411386.7072670123-12.7072670123343
541091410722.7817716782191.218228321803
551129911262.716082515336.283917484745
561128411037.0284580154246.971541984607
571069410363.1534911704330.846508829552
581107711074.14391161672.85608838331063
591110411208.8309473176-104.830947317561
601282013172.2274431405-352.227443140535
611491513468.70394112521446.29605887484
621177312260.2115706604-487.211570660364
631160812639.4505119112-1031.45051191124
641146811716.3583354729-248.358335472936
651151111438.525321691472.4746783086248
661120010821.839395187378.160604812998
671116411347.6771776742-183.677177674197
681096011144.4301184834-184.430118483384
691066710449.7956701136217.204329886375
701155611086.5765484987469.423451501318
711137211240.1011649544131.898835045560
721233313175.5322214937-842.532221493697
731310213781.5929641904-679.592964190426
741111512011.4189219817-896.418921981742
751257212247.1704316818324.829568318222
761155711592.1481751232-35.1481751232022
771205911394.3852842205664.61471577951
781142010887.6514050885532.348594911535
791118511316.4508788237-131.450878823749
801111311117.206795526-4.20679552599358
811070610516.3438401836189.656159816444
821152311199.8875532506323.112446749357
831139111274.5827522382116.417247761758
841263413017.811776959-383.811776958994
851346913694.9826878066-225.982687806641
861173511921.5511117760-186.551111776020
871328112457.7071262035823.292873796512
881196811776.1598943288191.840105671192
891162311736.0593158455-113.059315845545
901108411137.7844347606-53.7844347605842
911150911387.0482233904121.951776609572
921113411234.9481636655-100.94816366546
931043810664.2398866485-226.239886648505
941153011338.5235486798191.476451320154
951149111361.6543837804129.345616219622
961309313008.290274709784.7097252902804
971310613756.8640629284-650.864062928398
981130511954.9616424890-649.961642489032
991311312648.7791076034464.220892396606
1001220311812.5882983158390.411701684201
1011130911729.5415219505-420.541521950521
1021108811116.0302103273-28.0302103272807
1031123411401.3508410301-167.350841030146
1041161911180.1941898230438.805810177049
1051094210630.8191108987311.180889101328
1061144511432.820484584912.1795154150514
1071129111428.4038341983-137.403834198294
1081328113043.2375723240237.76242767598
1091372613660.908776141765.0912238583114
1101130011920.7947327492-620.794732749246
1111198312835.3927377838-852.392737783768
1121109211871.5978580237-779.597858023662
1131109311528.4705977143-435.470597714348
1141069210988.9983638023-296.998363802333
1151078611222.4310004773-436.431000477263
1161116611094.960274474371.0397255257194
1171055310487.065380071265.9346199287847
1181110311207.3310314392-104.331031439227
1191096911161.3222154438-192.32221544381
1201209012842.4083353394-752.408335339358
1211254413338.4832797733-794.483279773329
1221226411386.9468133375877.053186662453
1231378312381.68072965251401.31927034755
1241121411623.8528924113-409.852892411323
1251145311378.901318110974.098681889076
1261088310909.7218021862-26.7218021862172
1271038111138.8354157542-757.835415754245
1281034811082.7110859067-734.711085906678
1291002410403.9087196856-379.908719685563
1301080511051.4210219283-246.421021928287
1311079610974.6214978413-178.62149784127
1321190712545.930308905-638.930308905003
1331226113042.1446174628-781.14461746276
1341137711417.2983454144-40.2983454144105
1351268912434.0955471457254.904452854324
1361147411221.1889642829252.811035717121
1371099211125.1895708322-133.189570832175
1381076410616.0526039754147.947396024572
1391216410714.74702813371449.25297186628
1401040910851.1457581461-442.145758146078
1411039810266.2058348480131.794165152029
1421034910983.4200440787-634.420044078666
1431086510886.2447473934-21.2447473933717
1441163012380.6622302628-750.662230262773
1451222112839.0926009216-618.092600921605
1461088411372.7701024268-488.77010242679
1471201912408.3127903861-389.312790386075
1481102111138.7981807552-117.798180755239
1491079910934.2426618679-135.242661867938
1501042310478.5305294948-55.530529494763
1511048410812.7722607621-328.7722607621
1521045010424.396961658625.6030383414291
15399069989.204556255-83.2045562550065
1541104910535.5426932424513.457306757588
1551128110654.6424414418626.357558558153
1561248512060.4760347732424.523965226803
1571284912644.8756468006204.124353199360
1581138011274.3060916889105.693908311061
1591207912380.7212565589-301.721256558851
1601136611172.4406195528193.559380447236
1611132810991.9785115000336.021488499970
1621044410593.3824404453-149.382440445264
1631085410867.3182072975-13.3182072974505
1641043410576.6085687239-142.608568723932
1651013710107.015110470229.9848895298455
1661099210781.0602411463210.939758853718
1671090610897.48910092668.51089907344976
1681236712211.6804503702155.319549629827
1691437112730.42598182571640.57401817425
1701169511464.9870234456230.012976554448
1711154612503.9823220540-957.982322054046
1721092211337.566526828-415.566526828008
1731067011133.5560544401-463.55605444014
1741025410571.7517609036-317.751760903628
1751057310857.8698415874-284.869841587413
1761023910518.4263887194-279.426388719361
1771025310070.5561374226182.443862577447
1781117610792.8120522472383.187947752767
1791071910884.2984910501-165.298491050124
1801181712212.1182532878-395.118253287785







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
18112973.615548451611906.417772251714040.8133246516
18211290.19516570110219.034260965412361.3560704366
18312075.200096066511000.023034459713150.3771576733
18411095.492627884510016.246399792012174.7388559770
18510916.65051543579833.2821374659312000.0188934055
18610422.35785389249334.8143762255111509.9013315592
18710741.66947079089649.8979843725411833.4409572090
18810427.45159639909331.3992399776811523.5039528204
18910093.80388060388993.4178476090511194.1899135986
19010839.58236415839734.8099094208411944.3548188958
19110790.6247282349681.4131745443811899.8362819236
19212087.347838830210973.644583336713201.0510943237

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
181 & 12973.6155484516 & 11906.4177722517 & 14040.8133246516 \tabularnewline
182 & 11290.195165701 & 10219.0342609654 & 12361.3560704366 \tabularnewline
183 & 12075.2000960665 & 11000.0230344597 & 13150.3771576733 \tabularnewline
184 & 11095.4926278845 & 10016.2463997920 & 12174.7388559770 \tabularnewline
185 & 10916.6505154357 & 9833.28213746593 & 12000.0188934055 \tabularnewline
186 & 10422.3578538924 & 9334.81437622551 & 11509.9013315592 \tabularnewline
187 & 10741.6694707908 & 9649.89798437254 & 11833.4409572090 \tabularnewline
188 & 10427.4515963990 & 9331.39923997768 & 11523.5039528204 \tabularnewline
189 & 10093.8038806038 & 8993.41784760905 & 11194.1899135986 \tabularnewline
190 & 10839.5823641583 & 9734.80990942084 & 11944.3548188958 \tabularnewline
191 & 10790.624728234 & 9681.41317454438 & 11899.8362819236 \tabularnewline
192 & 12087.3478388302 & 10973.6445833367 & 13201.0510943237 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116608&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]181[/C][C]12973.6155484516[/C][C]11906.4177722517[/C][C]14040.8133246516[/C][/ROW]
[ROW][C]182[/C][C]11290.195165701[/C][C]10219.0342609654[/C][C]12361.3560704366[/C][/ROW]
[ROW][C]183[/C][C]12075.2000960665[/C][C]11000.0230344597[/C][C]13150.3771576733[/C][/ROW]
[ROW][C]184[/C][C]11095.4926278845[/C][C]10016.2463997920[/C][C]12174.7388559770[/C][/ROW]
[ROW][C]185[/C][C]10916.6505154357[/C][C]9833.28213746593[/C][C]12000.0188934055[/C][/ROW]
[ROW][C]186[/C][C]10422.3578538924[/C][C]9334.81437622551[/C][C]11509.9013315592[/C][/ROW]
[ROW][C]187[/C][C]10741.6694707908[/C][C]9649.89798437254[/C][C]11833.4409572090[/C][/ROW]
[ROW][C]188[/C][C]10427.4515963990[/C][C]9331.39923997768[/C][C]11523.5039528204[/C][/ROW]
[ROW][C]189[/C][C]10093.8038806038[/C][C]8993.41784760905[/C][C]11194.1899135986[/C][/ROW]
[ROW][C]190[/C][C]10839.5823641583[/C][C]9734.80990942084[/C][C]11944.3548188958[/C][/ROW]
[ROW][C]191[/C][C]10790.624728234[/C][C]9681.41317454438[/C][C]11899.8362819236[/C][/ROW]
[ROW][C]192[/C][C]12087.3478388302[/C][C]10973.6445833367[/C][C]13201.0510943237[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116608&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116608&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
18112973.615548451611906.417772251714040.8133246516
18211290.19516570110219.034260965412361.3560704366
18312075.200096066511000.023034459713150.3771576733
18411095.492627884510016.246399792012174.7388559770
18510916.65051543579833.2821374659312000.0188934055
18610422.35785389249334.8143762255111509.9013315592
18710741.66947079089649.8979843725411833.4409572090
18810427.45159639909331.3992399776811523.5039528204
18910093.80388060388993.4178476090511194.1899135986
19010839.58236415839734.8099094208411944.3548188958
19110790.6247282349681.4131745443811899.8362819236
19212087.347838830210973.644583336713201.0510943237



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
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,'Interpolation Forecasts of Exponential Smoothing',4,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,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')