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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 04 Jun 2010 15:22:07 +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/Jun/04/t1275664964mm1eiybwp9tma08.htm/, Retrieved Sun, 28 Apr 2024 18:59:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77464, Retrieved Sun, 28 Apr 2024 18:59:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact157
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Opgave9:Classical...] [2010-05-30 13:11:15] [6161c2e3b695d45e6326d4bda3093101]
-   PD  [Classical Decomposition] [Opgave9:Classical...] [2010-05-30 13:27:56] [6161c2e3b695d45e6326d4bda3093101]
- RMP       [Exponential Smoothing] [Opgave 10: Goudko...] [2010-06-04 15:22:07] [52430d682409e27a0d0e07da361cea73] [Current]
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Dataseries X:
23100
22650
22440
22910
22980
22535
22300
22780
22780
23300
23800
24510
24660
24730
25070
24690
24880
23920
23880
23990
24590
23610
23580
23360
23910
23940
23060
22800
23020
22890
22780
22530
22290
22820
22480
22110
22000
22230
22260
22590
22820
22420
22230
21600
21000
21360
21640
21450
21710
21620
21800
21490
21670
22130
22050
22050
22140
22390
22220
21790
21510
21670
21745
21850
22105
22050
21670
21680
21800
21920
21980
22270
21740
21950
22010
21890
21920
22110
22340
22210
22240
21960
22220
22060
22090
21960
21940
21790
21710
21690
21710
21670
21640
21500
21290
21250
21580
21670
21620
21510
21360
21420
21470
21370
21370
21340
21130
21130
20990
21240
21320
21430
21390
21530
21510
21630
21560
21610
21560
21310
21340
21410
21550
21380
21600
21530
21560
21670
21540
21540
21550
21590
21420
21420
21370
21380
21210
21505
21365
21385
21350
21360
21530
21380
21630
22145
22315
22340
22440
22135
21955
22060
22050
22035
22280
22315
22205
21970
22075
22115
22105
21885
21805
21910
21995
22245
22100
22130
22300
22915
23040
22880
23000
23160
23020
22770
22660
22740
22905
22720
22705
22735
22600
22510
22560
22575
22685
22980
23275
23845
23640
23640
23835
23625
24055
24005
24325
24445
24670
24615
24700
25065
25185
25220
25235
24975
25055
25520
25880
25960
25740
24965
25235
24895
24635
24835
24635
24695
25090
25220
24740
25005
24650
24460
24680
24840
24630
24490
24695




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77464&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]4 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=77464&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77464&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 time4 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.109263095532174
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.109263095532174 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77464&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.109263095532174[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77464&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77464&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
alpha1
beta0.109263095532174
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
32244022200240
42291022016.2231429277893.776857072276
52298022583.8799690465396.120030953542
62253522697.1612698307-162.16126983074
72230022234.443027513665.5569724863926
82278022006.6059852612773.394014738813
92278022571.1094093776208.890590622395
102330022593.9334419366706.066558063445
112380023191.0804597223608.919540277686
122451023757.6128936231752.387106376918
132466024549.8210379043110.178962095681
142473024711.859532365418.1404676345846
152507024783.8416160136286.158383986429
162469025155.1081668604-465.108166860413
172488024724.2890087919155.710991208052
182392024931.3024736997-1011.30247369972
192388023860.804434903919.1955650960517
202399023822.9018017668167.098198233169
212459023951.1594681636638.840531836366
222361024620.9611622235-1010.96116222350
232358023530.500416176249.4995838238465
242336023505.9088939323-145.908893932301
252391023269.9664365156640.033563484416
262394023889.898484906450.1015150936219
272306023925.3727315364-865.372731536361
282280022950.8194280996-150.819428099563
292302022674.340430519345.659569480988
302289022932.1082650808-42.1082650808239
312278022797.5073856906-17.5073856906056
322253022685.5944745354-155.594474535374
332229022418.5937405999-128.593740599936
342282022164.5431904359655.456809564075
352248022766.1604304365-286.160430436539
362211022394.8936559882-284.893655988224
372200021993.76529323756.23470676252691
382223021884.4465165981345.55348340192
392226022152.2027598665107.797240133499
402259022193.9810200133396.018979986689
412282022567.2512796562252.748720343847
422242022824.8673872327-404.867387232716
432223022380.6303232236-150.630323223646
442160022174.1719878272-574.17198782722
452100021481.4361790694-481.436179069355
462136020828.8329718431531.167028156946
472164021246.8699255841393.130074415891
482145021569.8245344616-119.824534461583
492171021366.7321349056343.267865094393
502162021664.2386444425-44.2386444425429
512180021569.4049932086230.595006791398
522149021774.6005174649-284.600517464893
532167021433.5041839366236.495816063380
542213021639.3444488801490.655551119886
552205022152.9549932355-102.954993235518
562205022061.7058119741-11.7058119741123
572214022060.426798722179.5732012778972
582239022159.1212130151230.878786984871
592222022434.3477439738-214.347743973809
602179022240.9274459469-450.927445946894
612151021761.6577173423-251.657717342317
622167021454.1608161309215.839183869062
632174521637.7440734976107.255926502392
642185021724.4631880414125.536811958569
652210521843.1797287193261.820271280736
662205022126.7870220325-76.787022032473
672167022063.3970343085-393.397034308506
682168021640.413256566839.5867434332176
692180021654.7386266963145.261373303667
702192021790.6103340047129.389665995252
712198021924.747849441355.2521505587392
722227021990.7848704461279.215129553879
732174022311.2927798206-571.292779820593
742195021718.8715622422231.128437757787
752201021954.125370817155.8746291828538
762189022020.2304057634-130.230405763377
772192021886.001028497333.9989715027405
782211021919.7158613686190.284138631439
792234022130.5068953861209.493104613895
802221022383.3967604889-173.396760488864
812224022234.45089368265.54910631740131
822196022265.0572062163-305.057206216276
832222021951.7257115507268.274288449313
842206022241.0381907584-181.038190758351
852209022061.257397626528.7426023734515
862196022094.3979033355-134.397903335524
872194021949.7131723841-9.71317238405027
882179021928.6518811019-138.651881101930
892171021763.5023473714-53.5023473713736
902169021677.656515279312.3434847206590
912171021659.005202629650.9947973704257
922167021684.5770520463-14.5770520463047
932164021642.984318216-2.98431821598933
942150021612.6582423697-112.65824236966
952129021460.3488540711-170.348854071137
962125021231.736010955018.2639890450373
972158021193.7315909348386.268409065211
982167021565.9364730155104.063526984457
992162021667.3067761059-47.3067761058628
1002151021612.1378913089-102.137891308888
1012136021490.9779891333-130.977989133349
1022142021326.666928594193.3330714059412
1032147021396.864788891473.1352111086017
1042137021454.8557684495-84.8557684495245
1052137021345.584164515024.4158354850333
1062134021348.2519142801-8.25191428006656
1072113021317.3502845818-187.350284581760
1082113021086.879812539543.1201874604776
1092099021091.5912577014-101.591257701384
1102124020940.4910824059299.508917594078
1112132021223.216353881796.783646118256
1122143021313.7912346535116.208765346488
1132139021436.4885640832-46.4885640832435
1142153021391.4090796647138.590920335337
1152151021546.5519526332-36.5519526331555
1162163021522.5581731407107.441826859289
1172156021654.297599733-94.2975997329886
1182161021573.994352084936.0056479150917
1192156021627.9284406328-67.9284406327533
1202131021570.5063689345-260.506368934544
1212134021292.042636658947.957363341091
1222141021327.282606631182.7173933688828
1232155021406.3205650850143.679434915044
1242138021562.0194249081-182.019424908085
1252160021372.1314190956227.868580904356
1262153021617.0290456198-87.0290456197763
1272156021537.519982694122.4800173058502
1282167021569.9762189726100.023781027397
1292154021690.9051269145-150.905126914487
1302154021544.4167656161-4.41676561613713
1312155021543.93417613276.06582386732407
1322159021554.596946825435.4030531746248
1332142021598.4651940065-178.465194006523
1342142021408.965534464611.0344655353801
1352137021410.1711943266-40.1711943265582
1362138021355.781965283224.2180347167850
1372121021368.4281027241-158.428102724076
1382150521181.1177578012323.882242198844
1392136521511.5061341717-146.506134171701
1402138521355.498420437629.5015795623513
1412135021378.7218543437-28.7218543437193
1422136021340.583615628719.4163843712995
1432153021352.7051098892177.294890110847
1442138021542.0768984047-162.076898404699
1452163021374.3678747707255.632125229251
1462214521652.2990320908492.700967909233
1472231522221.133065016293.8669349837728
1482234022401.3892569007-61.3892569006712
1492244022419.681676659320.3183233407144
1502213522521.9017195635-386.901719563513
1512195522174.6276400173-219.627640017283
1522206021970.630444204689.3695557954306
1532205022085.3952385171-35.3952385171142
1542203522071.5278451896-36.5278451896338
1552228022052.5366997511227.463300248906
1562231522322.3900440563-7.39004405625383
1572220522356.5825849665-151.582584966549
1582197022230.0202025043-260.020202504336
1592207521966.6095902778108.390409722193
1602211522083.452661970131.5473380299445
1612210522126.899621779-21.8996217790082
1622188522114.5068013124-229.506801312447
1632180521869.4301777554-64.4301777553628
1642191021782.3903370881127.609662911877
1652199521901.333363877793.666636122307
1662224521996.5676704885248.432329511499
1672210022273.7121558412-173.712155841196
1682213022109.731827962420.2681720375804
1692230022141.9463911800158.053608819973
1702291522329.2158177397585.784182260271
1712304023008.220410807331.7795891927308
1722288023136.6927470972-256.692747097208
1732300022948.645702948751.3542970512899
1742316023074.256832413485.7431675865882
1752302023243.6253963247-223.625396324656
1762277023079.1913932826-309.191393282614
1772266022795.4081845407-135.408184540651
1782274022670.613067137369.3869328626533
1792290522758.1944982114146.805501788596
1802272022939.2349217780-219.234921777981
1812270522730.2806355758-25.2806355757639
1822273522712.518395075722.4816049242654
1832260022744.9748048223-144.97480482229
1842251022594.1344088732-84.1344088732367
1852256022494.941622919065.0583770810226
1862257522552.050102589122.9498974108537
1872268522569.5576794224115.442320577597
1882298022692.1712647241287.828735275871
1892327523018.6203233235256.379676676519
1902384523341.6331604287503.366839571303
1912364023966.6325795085-326.632579508503
1922364023725.9436927697-85.9436927697461
1932383523716.5532188563118.446781143743
1942362523924.4950808198-299.495080819845
1952405523681.7713211928373.228678807191
1962400524152.5514419807-147.551441980668
1972432524086.4295146796238.570485320375
1982444524432.496464408312.5035355916589
1992467024553.8626394122116.137360587818
2002461524791.5521669369-176.552166936945
2012470024717.2615306545-17.2615306545013
2022506524800.3754823816264.624517618435
2032518525194.2891763303-9.28917633026504
2042522025313.2742121695-93.2742121694755
2052523525338.0827830145-103.082783014514
2062497525341.8196390463-366.819639046276
2072505525041.739789782113.2602102179153
2082552025123.1886413979396.811358602099
2092588025631.5454787811248.454521218904
2102596026018.6923888684-58.692388868436
2112574026092.2794767765-352.279476776494
2122496525833.7883306514-868.788330651438
2132523524963.8618282822271.138171717768
2142489525263.4872242410-368.487224241049
2152463524883.2251694564-248.225169456415
2162483524596.1033190526238.896680947393
2172463524822.2059099253-187.205909925284
2182469524601.751212704993.2487872950733
2192509024671.9398638594418.06013614059
2202522025112.6184084527107.381591547266
2212474025254.3512535484-514.351253548357
2222500524718.1516433948286.848356605191
2232465025014.4935827858-364.49358278581
2242446024619.667885629-159.66788562902
2252468024412.2220781881267.777921811885
2262484024661.4803228405178.519677159544
2272463024840.9859353803-210.985935380311
2282449024607.9329589669-117.932958966907
2292469524455.0472388049239.952761195087

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 22440 & 22200 & 240 \tabularnewline
4 & 22910 & 22016.2231429277 & 893.776857072276 \tabularnewline
5 & 22980 & 22583.8799690465 & 396.120030953542 \tabularnewline
6 & 22535 & 22697.1612698307 & -162.16126983074 \tabularnewline
7 & 22300 & 22234.4430275136 & 65.5569724863926 \tabularnewline
8 & 22780 & 22006.6059852612 & 773.394014738813 \tabularnewline
9 & 22780 & 22571.1094093776 & 208.890590622395 \tabularnewline
10 & 23300 & 22593.9334419366 & 706.066558063445 \tabularnewline
11 & 23800 & 23191.0804597223 & 608.919540277686 \tabularnewline
12 & 24510 & 23757.6128936231 & 752.387106376918 \tabularnewline
13 & 24660 & 24549.8210379043 & 110.178962095681 \tabularnewline
14 & 24730 & 24711.8595323654 & 18.1404676345846 \tabularnewline
15 & 25070 & 24783.8416160136 & 286.158383986429 \tabularnewline
16 & 24690 & 25155.1081668604 & -465.108166860413 \tabularnewline
17 & 24880 & 24724.2890087919 & 155.710991208052 \tabularnewline
18 & 23920 & 24931.3024736997 & -1011.30247369972 \tabularnewline
19 & 23880 & 23860.8044349039 & 19.1955650960517 \tabularnewline
20 & 23990 & 23822.9018017668 & 167.098198233169 \tabularnewline
21 & 24590 & 23951.1594681636 & 638.840531836366 \tabularnewline
22 & 23610 & 24620.9611622235 & -1010.96116222350 \tabularnewline
23 & 23580 & 23530.5004161762 & 49.4995838238465 \tabularnewline
24 & 23360 & 23505.9088939323 & -145.908893932301 \tabularnewline
25 & 23910 & 23269.9664365156 & 640.033563484416 \tabularnewline
26 & 23940 & 23889.8984849064 & 50.1015150936219 \tabularnewline
27 & 23060 & 23925.3727315364 & -865.372731536361 \tabularnewline
28 & 22800 & 22950.8194280996 & -150.819428099563 \tabularnewline
29 & 23020 & 22674.340430519 & 345.659569480988 \tabularnewline
30 & 22890 & 22932.1082650808 & -42.1082650808239 \tabularnewline
31 & 22780 & 22797.5073856906 & -17.5073856906056 \tabularnewline
32 & 22530 & 22685.5944745354 & -155.594474535374 \tabularnewline
33 & 22290 & 22418.5937405999 & -128.593740599936 \tabularnewline
34 & 22820 & 22164.5431904359 & 655.456809564075 \tabularnewline
35 & 22480 & 22766.1604304365 & -286.160430436539 \tabularnewline
36 & 22110 & 22394.8936559882 & -284.893655988224 \tabularnewline
37 & 22000 & 21993.7652932375 & 6.23470676252691 \tabularnewline
38 & 22230 & 21884.4465165981 & 345.55348340192 \tabularnewline
39 & 22260 & 22152.2027598665 & 107.797240133499 \tabularnewline
40 & 22590 & 22193.9810200133 & 396.018979986689 \tabularnewline
41 & 22820 & 22567.2512796562 & 252.748720343847 \tabularnewline
42 & 22420 & 22824.8673872327 & -404.867387232716 \tabularnewline
43 & 22230 & 22380.6303232236 & -150.630323223646 \tabularnewline
44 & 21600 & 22174.1719878272 & -574.17198782722 \tabularnewline
45 & 21000 & 21481.4361790694 & -481.436179069355 \tabularnewline
46 & 21360 & 20828.8329718431 & 531.167028156946 \tabularnewline
47 & 21640 & 21246.8699255841 & 393.130074415891 \tabularnewline
48 & 21450 & 21569.8245344616 & -119.824534461583 \tabularnewline
49 & 21710 & 21366.7321349056 & 343.267865094393 \tabularnewline
50 & 21620 & 21664.2386444425 & -44.2386444425429 \tabularnewline
51 & 21800 & 21569.4049932086 & 230.595006791398 \tabularnewline
52 & 21490 & 21774.6005174649 & -284.600517464893 \tabularnewline
53 & 21670 & 21433.5041839366 & 236.495816063380 \tabularnewline
54 & 22130 & 21639.3444488801 & 490.655551119886 \tabularnewline
55 & 22050 & 22152.9549932355 & -102.954993235518 \tabularnewline
56 & 22050 & 22061.7058119741 & -11.7058119741123 \tabularnewline
57 & 22140 & 22060.4267987221 & 79.5732012778972 \tabularnewline
58 & 22390 & 22159.1212130151 & 230.878786984871 \tabularnewline
59 & 22220 & 22434.3477439738 & -214.347743973809 \tabularnewline
60 & 21790 & 22240.9274459469 & -450.927445946894 \tabularnewline
61 & 21510 & 21761.6577173423 & -251.657717342317 \tabularnewline
62 & 21670 & 21454.1608161309 & 215.839183869062 \tabularnewline
63 & 21745 & 21637.7440734976 & 107.255926502392 \tabularnewline
64 & 21850 & 21724.4631880414 & 125.536811958569 \tabularnewline
65 & 22105 & 21843.1797287193 & 261.820271280736 \tabularnewline
66 & 22050 & 22126.7870220325 & -76.787022032473 \tabularnewline
67 & 21670 & 22063.3970343085 & -393.397034308506 \tabularnewline
68 & 21680 & 21640.4132565668 & 39.5867434332176 \tabularnewline
69 & 21800 & 21654.7386266963 & 145.261373303667 \tabularnewline
70 & 21920 & 21790.6103340047 & 129.389665995252 \tabularnewline
71 & 21980 & 21924.7478494413 & 55.2521505587392 \tabularnewline
72 & 22270 & 21990.7848704461 & 279.215129553879 \tabularnewline
73 & 21740 & 22311.2927798206 & -571.292779820593 \tabularnewline
74 & 21950 & 21718.8715622422 & 231.128437757787 \tabularnewline
75 & 22010 & 21954.1253708171 & 55.8746291828538 \tabularnewline
76 & 21890 & 22020.2304057634 & -130.230405763377 \tabularnewline
77 & 21920 & 21886.0010284973 & 33.9989715027405 \tabularnewline
78 & 22110 & 21919.7158613686 & 190.284138631439 \tabularnewline
79 & 22340 & 22130.5068953861 & 209.493104613895 \tabularnewline
80 & 22210 & 22383.3967604889 & -173.396760488864 \tabularnewline
81 & 22240 & 22234.4508936826 & 5.54910631740131 \tabularnewline
82 & 21960 & 22265.0572062163 & -305.057206216276 \tabularnewline
83 & 22220 & 21951.7257115507 & 268.274288449313 \tabularnewline
84 & 22060 & 22241.0381907584 & -181.038190758351 \tabularnewline
85 & 22090 & 22061.2573976265 & 28.7426023734515 \tabularnewline
86 & 21960 & 22094.3979033355 & -134.397903335524 \tabularnewline
87 & 21940 & 21949.7131723841 & -9.71317238405027 \tabularnewline
88 & 21790 & 21928.6518811019 & -138.651881101930 \tabularnewline
89 & 21710 & 21763.5023473714 & -53.5023473713736 \tabularnewline
90 & 21690 & 21677.6565152793 & 12.3434847206590 \tabularnewline
91 & 21710 & 21659.0052026296 & 50.9947973704257 \tabularnewline
92 & 21670 & 21684.5770520463 & -14.5770520463047 \tabularnewline
93 & 21640 & 21642.984318216 & -2.98431821598933 \tabularnewline
94 & 21500 & 21612.6582423697 & -112.65824236966 \tabularnewline
95 & 21290 & 21460.3488540711 & -170.348854071137 \tabularnewline
96 & 21250 & 21231.7360109550 & 18.2639890450373 \tabularnewline
97 & 21580 & 21193.7315909348 & 386.268409065211 \tabularnewline
98 & 21670 & 21565.9364730155 & 104.063526984457 \tabularnewline
99 & 21620 & 21667.3067761059 & -47.3067761058628 \tabularnewline
100 & 21510 & 21612.1378913089 & -102.137891308888 \tabularnewline
101 & 21360 & 21490.9779891333 & -130.977989133349 \tabularnewline
102 & 21420 & 21326.6669285941 & 93.3330714059412 \tabularnewline
103 & 21470 & 21396.8647888914 & 73.1352111086017 \tabularnewline
104 & 21370 & 21454.8557684495 & -84.8557684495245 \tabularnewline
105 & 21370 & 21345.5841645150 & 24.4158354850333 \tabularnewline
106 & 21340 & 21348.2519142801 & -8.25191428006656 \tabularnewline
107 & 21130 & 21317.3502845818 & -187.350284581760 \tabularnewline
108 & 21130 & 21086.8798125395 & 43.1201874604776 \tabularnewline
109 & 20990 & 21091.5912577014 & -101.591257701384 \tabularnewline
110 & 21240 & 20940.4910824059 & 299.508917594078 \tabularnewline
111 & 21320 & 21223.2163538817 & 96.783646118256 \tabularnewline
112 & 21430 & 21313.7912346535 & 116.208765346488 \tabularnewline
113 & 21390 & 21436.4885640832 & -46.4885640832435 \tabularnewline
114 & 21530 & 21391.4090796647 & 138.590920335337 \tabularnewline
115 & 21510 & 21546.5519526332 & -36.5519526331555 \tabularnewline
116 & 21630 & 21522.5581731407 & 107.441826859289 \tabularnewline
117 & 21560 & 21654.297599733 & -94.2975997329886 \tabularnewline
118 & 21610 & 21573.9943520849 & 36.0056479150917 \tabularnewline
119 & 21560 & 21627.9284406328 & -67.9284406327533 \tabularnewline
120 & 21310 & 21570.5063689345 & -260.506368934544 \tabularnewline
121 & 21340 & 21292.0426366589 & 47.957363341091 \tabularnewline
122 & 21410 & 21327.2826066311 & 82.7173933688828 \tabularnewline
123 & 21550 & 21406.3205650850 & 143.679434915044 \tabularnewline
124 & 21380 & 21562.0194249081 & -182.019424908085 \tabularnewline
125 & 21600 & 21372.1314190956 & 227.868580904356 \tabularnewline
126 & 21530 & 21617.0290456198 & -87.0290456197763 \tabularnewline
127 & 21560 & 21537.5199826941 & 22.4800173058502 \tabularnewline
128 & 21670 & 21569.9762189726 & 100.023781027397 \tabularnewline
129 & 21540 & 21690.9051269145 & -150.905126914487 \tabularnewline
130 & 21540 & 21544.4167656161 & -4.41676561613713 \tabularnewline
131 & 21550 & 21543.9341761327 & 6.06582386732407 \tabularnewline
132 & 21590 & 21554.5969468254 & 35.4030531746248 \tabularnewline
133 & 21420 & 21598.4651940065 & -178.465194006523 \tabularnewline
134 & 21420 & 21408.9655344646 & 11.0344655353801 \tabularnewline
135 & 21370 & 21410.1711943266 & -40.1711943265582 \tabularnewline
136 & 21380 & 21355.7819652832 & 24.2180347167850 \tabularnewline
137 & 21210 & 21368.4281027241 & -158.428102724076 \tabularnewline
138 & 21505 & 21181.1177578012 & 323.882242198844 \tabularnewline
139 & 21365 & 21511.5061341717 & -146.506134171701 \tabularnewline
140 & 21385 & 21355.4984204376 & 29.5015795623513 \tabularnewline
141 & 21350 & 21378.7218543437 & -28.7218543437193 \tabularnewline
142 & 21360 & 21340.5836156287 & 19.4163843712995 \tabularnewline
143 & 21530 & 21352.7051098892 & 177.294890110847 \tabularnewline
144 & 21380 & 21542.0768984047 & -162.076898404699 \tabularnewline
145 & 21630 & 21374.3678747707 & 255.632125229251 \tabularnewline
146 & 22145 & 21652.2990320908 & 492.700967909233 \tabularnewline
147 & 22315 & 22221.1330650162 & 93.8669349837728 \tabularnewline
148 & 22340 & 22401.3892569007 & -61.3892569006712 \tabularnewline
149 & 22440 & 22419.6816766593 & 20.3183233407144 \tabularnewline
150 & 22135 & 22521.9017195635 & -386.901719563513 \tabularnewline
151 & 21955 & 22174.6276400173 & -219.627640017283 \tabularnewline
152 & 22060 & 21970.6304442046 & 89.3695557954306 \tabularnewline
153 & 22050 & 22085.3952385171 & -35.3952385171142 \tabularnewline
154 & 22035 & 22071.5278451896 & -36.5278451896338 \tabularnewline
155 & 22280 & 22052.5366997511 & 227.463300248906 \tabularnewline
156 & 22315 & 22322.3900440563 & -7.39004405625383 \tabularnewline
157 & 22205 & 22356.5825849665 & -151.582584966549 \tabularnewline
158 & 21970 & 22230.0202025043 & -260.020202504336 \tabularnewline
159 & 22075 & 21966.6095902778 & 108.390409722193 \tabularnewline
160 & 22115 & 22083.4526619701 & 31.5473380299445 \tabularnewline
161 & 22105 & 22126.899621779 & -21.8996217790082 \tabularnewline
162 & 21885 & 22114.5068013124 & -229.506801312447 \tabularnewline
163 & 21805 & 21869.4301777554 & -64.4301777553628 \tabularnewline
164 & 21910 & 21782.3903370881 & 127.609662911877 \tabularnewline
165 & 21995 & 21901.3333638777 & 93.666636122307 \tabularnewline
166 & 22245 & 21996.5676704885 & 248.432329511499 \tabularnewline
167 & 22100 & 22273.7121558412 & -173.712155841196 \tabularnewline
168 & 22130 & 22109.7318279624 & 20.2681720375804 \tabularnewline
169 & 22300 & 22141.9463911800 & 158.053608819973 \tabularnewline
170 & 22915 & 22329.2158177397 & 585.784182260271 \tabularnewline
171 & 23040 & 23008.2204108073 & 31.7795891927308 \tabularnewline
172 & 22880 & 23136.6927470972 & -256.692747097208 \tabularnewline
173 & 23000 & 22948.6457029487 & 51.3542970512899 \tabularnewline
174 & 23160 & 23074.2568324134 & 85.7431675865882 \tabularnewline
175 & 23020 & 23243.6253963247 & -223.625396324656 \tabularnewline
176 & 22770 & 23079.1913932826 & -309.191393282614 \tabularnewline
177 & 22660 & 22795.4081845407 & -135.408184540651 \tabularnewline
178 & 22740 & 22670.6130671373 & 69.3869328626533 \tabularnewline
179 & 22905 & 22758.1944982114 & 146.805501788596 \tabularnewline
180 & 22720 & 22939.2349217780 & -219.234921777981 \tabularnewline
181 & 22705 & 22730.2806355758 & -25.2806355757639 \tabularnewline
182 & 22735 & 22712.5183950757 & 22.4816049242654 \tabularnewline
183 & 22600 & 22744.9748048223 & -144.97480482229 \tabularnewline
184 & 22510 & 22594.1344088732 & -84.1344088732367 \tabularnewline
185 & 22560 & 22494.9416229190 & 65.0583770810226 \tabularnewline
186 & 22575 & 22552.0501025891 & 22.9498974108537 \tabularnewline
187 & 22685 & 22569.5576794224 & 115.442320577597 \tabularnewline
188 & 22980 & 22692.1712647241 & 287.828735275871 \tabularnewline
189 & 23275 & 23018.6203233235 & 256.379676676519 \tabularnewline
190 & 23845 & 23341.6331604287 & 503.366839571303 \tabularnewline
191 & 23640 & 23966.6325795085 & -326.632579508503 \tabularnewline
192 & 23640 & 23725.9436927697 & -85.9436927697461 \tabularnewline
193 & 23835 & 23716.5532188563 & 118.446781143743 \tabularnewline
194 & 23625 & 23924.4950808198 & -299.495080819845 \tabularnewline
195 & 24055 & 23681.7713211928 & 373.228678807191 \tabularnewline
196 & 24005 & 24152.5514419807 & -147.551441980668 \tabularnewline
197 & 24325 & 24086.4295146796 & 238.570485320375 \tabularnewline
198 & 24445 & 24432.4964644083 & 12.5035355916589 \tabularnewline
199 & 24670 & 24553.8626394122 & 116.137360587818 \tabularnewline
200 & 24615 & 24791.5521669369 & -176.552166936945 \tabularnewline
201 & 24700 & 24717.2615306545 & -17.2615306545013 \tabularnewline
202 & 25065 & 24800.3754823816 & 264.624517618435 \tabularnewline
203 & 25185 & 25194.2891763303 & -9.28917633026504 \tabularnewline
204 & 25220 & 25313.2742121695 & -93.2742121694755 \tabularnewline
205 & 25235 & 25338.0827830145 & -103.082783014514 \tabularnewline
206 & 24975 & 25341.8196390463 & -366.819639046276 \tabularnewline
207 & 25055 & 25041.7397897821 & 13.2602102179153 \tabularnewline
208 & 25520 & 25123.1886413979 & 396.811358602099 \tabularnewline
209 & 25880 & 25631.5454787811 & 248.454521218904 \tabularnewline
210 & 25960 & 26018.6923888684 & -58.692388868436 \tabularnewline
211 & 25740 & 26092.2794767765 & -352.279476776494 \tabularnewline
212 & 24965 & 25833.7883306514 & -868.788330651438 \tabularnewline
213 & 25235 & 24963.8618282822 & 271.138171717768 \tabularnewline
214 & 24895 & 25263.4872242410 & -368.487224241049 \tabularnewline
215 & 24635 & 24883.2251694564 & -248.225169456415 \tabularnewline
216 & 24835 & 24596.1033190526 & 238.896680947393 \tabularnewline
217 & 24635 & 24822.2059099253 & -187.205909925284 \tabularnewline
218 & 24695 & 24601.7512127049 & 93.2487872950733 \tabularnewline
219 & 25090 & 24671.9398638594 & 418.06013614059 \tabularnewline
220 & 25220 & 25112.6184084527 & 107.381591547266 \tabularnewline
221 & 24740 & 25254.3512535484 & -514.351253548357 \tabularnewline
222 & 25005 & 24718.1516433948 & 286.848356605191 \tabularnewline
223 & 24650 & 25014.4935827858 & -364.49358278581 \tabularnewline
224 & 24460 & 24619.667885629 & -159.66788562902 \tabularnewline
225 & 24680 & 24412.2220781881 & 267.777921811885 \tabularnewline
226 & 24840 & 24661.4803228405 & 178.519677159544 \tabularnewline
227 & 24630 & 24840.9859353803 & -210.985935380311 \tabularnewline
228 & 24490 & 24607.9329589669 & -117.932958966907 \tabularnewline
229 & 24695 & 24455.0472388049 & 239.952761195087 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77464&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]3[/C][C]22440[/C][C]22200[/C][C]240[/C][/ROW]
[ROW][C]4[/C][C]22910[/C][C]22016.2231429277[/C][C]893.776857072276[/C][/ROW]
[ROW][C]5[/C][C]22980[/C][C]22583.8799690465[/C][C]396.120030953542[/C][/ROW]
[ROW][C]6[/C][C]22535[/C][C]22697.1612698307[/C][C]-162.16126983074[/C][/ROW]
[ROW][C]7[/C][C]22300[/C][C]22234.4430275136[/C][C]65.5569724863926[/C][/ROW]
[ROW][C]8[/C][C]22780[/C][C]22006.6059852612[/C][C]773.394014738813[/C][/ROW]
[ROW][C]9[/C][C]22780[/C][C]22571.1094093776[/C][C]208.890590622395[/C][/ROW]
[ROW][C]10[/C][C]23300[/C][C]22593.9334419366[/C][C]706.066558063445[/C][/ROW]
[ROW][C]11[/C][C]23800[/C][C]23191.0804597223[/C][C]608.919540277686[/C][/ROW]
[ROW][C]12[/C][C]24510[/C][C]23757.6128936231[/C][C]752.387106376918[/C][/ROW]
[ROW][C]13[/C][C]24660[/C][C]24549.8210379043[/C][C]110.178962095681[/C][/ROW]
[ROW][C]14[/C][C]24730[/C][C]24711.8595323654[/C][C]18.1404676345846[/C][/ROW]
[ROW][C]15[/C][C]25070[/C][C]24783.8416160136[/C][C]286.158383986429[/C][/ROW]
[ROW][C]16[/C][C]24690[/C][C]25155.1081668604[/C][C]-465.108166860413[/C][/ROW]
[ROW][C]17[/C][C]24880[/C][C]24724.2890087919[/C][C]155.710991208052[/C][/ROW]
[ROW][C]18[/C][C]23920[/C][C]24931.3024736997[/C][C]-1011.30247369972[/C][/ROW]
[ROW][C]19[/C][C]23880[/C][C]23860.8044349039[/C][C]19.1955650960517[/C][/ROW]
[ROW][C]20[/C][C]23990[/C][C]23822.9018017668[/C][C]167.098198233169[/C][/ROW]
[ROW][C]21[/C][C]24590[/C][C]23951.1594681636[/C][C]638.840531836366[/C][/ROW]
[ROW][C]22[/C][C]23610[/C][C]24620.9611622235[/C][C]-1010.96116222350[/C][/ROW]
[ROW][C]23[/C][C]23580[/C][C]23530.5004161762[/C][C]49.4995838238465[/C][/ROW]
[ROW][C]24[/C][C]23360[/C][C]23505.9088939323[/C][C]-145.908893932301[/C][/ROW]
[ROW][C]25[/C][C]23910[/C][C]23269.9664365156[/C][C]640.033563484416[/C][/ROW]
[ROW][C]26[/C][C]23940[/C][C]23889.8984849064[/C][C]50.1015150936219[/C][/ROW]
[ROW][C]27[/C][C]23060[/C][C]23925.3727315364[/C][C]-865.372731536361[/C][/ROW]
[ROW][C]28[/C][C]22800[/C][C]22950.8194280996[/C][C]-150.819428099563[/C][/ROW]
[ROW][C]29[/C][C]23020[/C][C]22674.340430519[/C][C]345.659569480988[/C][/ROW]
[ROW][C]30[/C][C]22890[/C][C]22932.1082650808[/C][C]-42.1082650808239[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]22797.5073856906[/C][C]-17.5073856906056[/C][/ROW]
[ROW][C]32[/C][C]22530[/C][C]22685.5944745354[/C][C]-155.594474535374[/C][/ROW]
[ROW][C]33[/C][C]22290[/C][C]22418.5937405999[/C][C]-128.593740599936[/C][/ROW]
[ROW][C]34[/C][C]22820[/C][C]22164.5431904359[/C][C]655.456809564075[/C][/ROW]
[ROW][C]35[/C][C]22480[/C][C]22766.1604304365[/C][C]-286.160430436539[/C][/ROW]
[ROW][C]36[/C][C]22110[/C][C]22394.8936559882[/C][C]-284.893655988224[/C][/ROW]
[ROW][C]37[/C][C]22000[/C][C]21993.7652932375[/C][C]6.23470676252691[/C][/ROW]
[ROW][C]38[/C][C]22230[/C][C]21884.4465165981[/C][C]345.55348340192[/C][/ROW]
[ROW][C]39[/C][C]22260[/C][C]22152.2027598665[/C][C]107.797240133499[/C][/ROW]
[ROW][C]40[/C][C]22590[/C][C]22193.9810200133[/C][C]396.018979986689[/C][/ROW]
[ROW][C]41[/C][C]22820[/C][C]22567.2512796562[/C][C]252.748720343847[/C][/ROW]
[ROW][C]42[/C][C]22420[/C][C]22824.8673872327[/C][C]-404.867387232716[/C][/ROW]
[ROW][C]43[/C][C]22230[/C][C]22380.6303232236[/C][C]-150.630323223646[/C][/ROW]
[ROW][C]44[/C][C]21600[/C][C]22174.1719878272[/C][C]-574.17198782722[/C][/ROW]
[ROW][C]45[/C][C]21000[/C][C]21481.4361790694[/C][C]-481.436179069355[/C][/ROW]
[ROW][C]46[/C][C]21360[/C][C]20828.8329718431[/C][C]531.167028156946[/C][/ROW]
[ROW][C]47[/C][C]21640[/C][C]21246.8699255841[/C][C]393.130074415891[/C][/ROW]
[ROW][C]48[/C][C]21450[/C][C]21569.8245344616[/C][C]-119.824534461583[/C][/ROW]
[ROW][C]49[/C][C]21710[/C][C]21366.7321349056[/C][C]343.267865094393[/C][/ROW]
[ROW][C]50[/C][C]21620[/C][C]21664.2386444425[/C][C]-44.2386444425429[/C][/ROW]
[ROW][C]51[/C][C]21800[/C][C]21569.4049932086[/C][C]230.595006791398[/C][/ROW]
[ROW][C]52[/C][C]21490[/C][C]21774.6005174649[/C][C]-284.600517464893[/C][/ROW]
[ROW][C]53[/C][C]21670[/C][C]21433.5041839366[/C][C]236.495816063380[/C][/ROW]
[ROW][C]54[/C][C]22130[/C][C]21639.3444488801[/C][C]490.655551119886[/C][/ROW]
[ROW][C]55[/C][C]22050[/C][C]22152.9549932355[/C][C]-102.954993235518[/C][/ROW]
[ROW][C]56[/C][C]22050[/C][C]22061.7058119741[/C][C]-11.7058119741123[/C][/ROW]
[ROW][C]57[/C][C]22140[/C][C]22060.4267987221[/C][C]79.5732012778972[/C][/ROW]
[ROW][C]58[/C][C]22390[/C][C]22159.1212130151[/C][C]230.878786984871[/C][/ROW]
[ROW][C]59[/C][C]22220[/C][C]22434.3477439738[/C][C]-214.347743973809[/C][/ROW]
[ROW][C]60[/C][C]21790[/C][C]22240.9274459469[/C][C]-450.927445946894[/C][/ROW]
[ROW][C]61[/C][C]21510[/C][C]21761.6577173423[/C][C]-251.657717342317[/C][/ROW]
[ROW][C]62[/C][C]21670[/C][C]21454.1608161309[/C][C]215.839183869062[/C][/ROW]
[ROW][C]63[/C][C]21745[/C][C]21637.7440734976[/C][C]107.255926502392[/C][/ROW]
[ROW][C]64[/C][C]21850[/C][C]21724.4631880414[/C][C]125.536811958569[/C][/ROW]
[ROW][C]65[/C][C]22105[/C][C]21843.1797287193[/C][C]261.820271280736[/C][/ROW]
[ROW][C]66[/C][C]22050[/C][C]22126.7870220325[/C][C]-76.787022032473[/C][/ROW]
[ROW][C]67[/C][C]21670[/C][C]22063.3970343085[/C][C]-393.397034308506[/C][/ROW]
[ROW][C]68[/C][C]21680[/C][C]21640.4132565668[/C][C]39.5867434332176[/C][/ROW]
[ROW][C]69[/C][C]21800[/C][C]21654.7386266963[/C][C]145.261373303667[/C][/ROW]
[ROW][C]70[/C][C]21920[/C][C]21790.6103340047[/C][C]129.389665995252[/C][/ROW]
[ROW][C]71[/C][C]21980[/C][C]21924.7478494413[/C][C]55.2521505587392[/C][/ROW]
[ROW][C]72[/C][C]22270[/C][C]21990.7848704461[/C][C]279.215129553879[/C][/ROW]
[ROW][C]73[/C][C]21740[/C][C]22311.2927798206[/C][C]-571.292779820593[/C][/ROW]
[ROW][C]74[/C][C]21950[/C][C]21718.8715622422[/C][C]231.128437757787[/C][/ROW]
[ROW][C]75[/C][C]22010[/C][C]21954.1253708171[/C][C]55.8746291828538[/C][/ROW]
[ROW][C]76[/C][C]21890[/C][C]22020.2304057634[/C][C]-130.230405763377[/C][/ROW]
[ROW][C]77[/C][C]21920[/C][C]21886.0010284973[/C][C]33.9989715027405[/C][/ROW]
[ROW][C]78[/C][C]22110[/C][C]21919.7158613686[/C][C]190.284138631439[/C][/ROW]
[ROW][C]79[/C][C]22340[/C][C]22130.5068953861[/C][C]209.493104613895[/C][/ROW]
[ROW][C]80[/C][C]22210[/C][C]22383.3967604889[/C][C]-173.396760488864[/C][/ROW]
[ROW][C]81[/C][C]22240[/C][C]22234.4508936826[/C][C]5.54910631740131[/C][/ROW]
[ROW][C]82[/C][C]21960[/C][C]22265.0572062163[/C][C]-305.057206216276[/C][/ROW]
[ROW][C]83[/C][C]22220[/C][C]21951.7257115507[/C][C]268.274288449313[/C][/ROW]
[ROW][C]84[/C][C]22060[/C][C]22241.0381907584[/C][C]-181.038190758351[/C][/ROW]
[ROW][C]85[/C][C]22090[/C][C]22061.2573976265[/C][C]28.7426023734515[/C][/ROW]
[ROW][C]86[/C][C]21960[/C][C]22094.3979033355[/C][C]-134.397903335524[/C][/ROW]
[ROW][C]87[/C][C]21940[/C][C]21949.7131723841[/C][C]-9.71317238405027[/C][/ROW]
[ROW][C]88[/C][C]21790[/C][C]21928.6518811019[/C][C]-138.651881101930[/C][/ROW]
[ROW][C]89[/C][C]21710[/C][C]21763.5023473714[/C][C]-53.5023473713736[/C][/ROW]
[ROW][C]90[/C][C]21690[/C][C]21677.6565152793[/C][C]12.3434847206590[/C][/ROW]
[ROW][C]91[/C][C]21710[/C][C]21659.0052026296[/C][C]50.9947973704257[/C][/ROW]
[ROW][C]92[/C][C]21670[/C][C]21684.5770520463[/C][C]-14.5770520463047[/C][/ROW]
[ROW][C]93[/C][C]21640[/C][C]21642.984318216[/C][C]-2.98431821598933[/C][/ROW]
[ROW][C]94[/C][C]21500[/C][C]21612.6582423697[/C][C]-112.65824236966[/C][/ROW]
[ROW][C]95[/C][C]21290[/C][C]21460.3488540711[/C][C]-170.348854071137[/C][/ROW]
[ROW][C]96[/C][C]21250[/C][C]21231.7360109550[/C][C]18.2639890450373[/C][/ROW]
[ROW][C]97[/C][C]21580[/C][C]21193.7315909348[/C][C]386.268409065211[/C][/ROW]
[ROW][C]98[/C][C]21670[/C][C]21565.9364730155[/C][C]104.063526984457[/C][/ROW]
[ROW][C]99[/C][C]21620[/C][C]21667.3067761059[/C][C]-47.3067761058628[/C][/ROW]
[ROW][C]100[/C][C]21510[/C][C]21612.1378913089[/C][C]-102.137891308888[/C][/ROW]
[ROW][C]101[/C][C]21360[/C][C]21490.9779891333[/C][C]-130.977989133349[/C][/ROW]
[ROW][C]102[/C][C]21420[/C][C]21326.6669285941[/C][C]93.3330714059412[/C][/ROW]
[ROW][C]103[/C][C]21470[/C][C]21396.8647888914[/C][C]73.1352111086017[/C][/ROW]
[ROW][C]104[/C][C]21370[/C][C]21454.8557684495[/C][C]-84.8557684495245[/C][/ROW]
[ROW][C]105[/C][C]21370[/C][C]21345.5841645150[/C][C]24.4158354850333[/C][/ROW]
[ROW][C]106[/C][C]21340[/C][C]21348.2519142801[/C][C]-8.25191428006656[/C][/ROW]
[ROW][C]107[/C][C]21130[/C][C]21317.3502845818[/C][C]-187.350284581760[/C][/ROW]
[ROW][C]108[/C][C]21130[/C][C]21086.8798125395[/C][C]43.1201874604776[/C][/ROW]
[ROW][C]109[/C][C]20990[/C][C]21091.5912577014[/C][C]-101.591257701384[/C][/ROW]
[ROW][C]110[/C][C]21240[/C][C]20940.4910824059[/C][C]299.508917594078[/C][/ROW]
[ROW][C]111[/C][C]21320[/C][C]21223.2163538817[/C][C]96.783646118256[/C][/ROW]
[ROW][C]112[/C][C]21430[/C][C]21313.7912346535[/C][C]116.208765346488[/C][/ROW]
[ROW][C]113[/C][C]21390[/C][C]21436.4885640832[/C][C]-46.4885640832435[/C][/ROW]
[ROW][C]114[/C][C]21530[/C][C]21391.4090796647[/C][C]138.590920335337[/C][/ROW]
[ROW][C]115[/C][C]21510[/C][C]21546.5519526332[/C][C]-36.5519526331555[/C][/ROW]
[ROW][C]116[/C][C]21630[/C][C]21522.5581731407[/C][C]107.441826859289[/C][/ROW]
[ROW][C]117[/C][C]21560[/C][C]21654.297599733[/C][C]-94.2975997329886[/C][/ROW]
[ROW][C]118[/C][C]21610[/C][C]21573.9943520849[/C][C]36.0056479150917[/C][/ROW]
[ROW][C]119[/C][C]21560[/C][C]21627.9284406328[/C][C]-67.9284406327533[/C][/ROW]
[ROW][C]120[/C][C]21310[/C][C]21570.5063689345[/C][C]-260.506368934544[/C][/ROW]
[ROW][C]121[/C][C]21340[/C][C]21292.0426366589[/C][C]47.957363341091[/C][/ROW]
[ROW][C]122[/C][C]21410[/C][C]21327.2826066311[/C][C]82.7173933688828[/C][/ROW]
[ROW][C]123[/C][C]21550[/C][C]21406.3205650850[/C][C]143.679434915044[/C][/ROW]
[ROW][C]124[/C][C]21380[/C][C]21562.0194249081[/C][C]-182.019424908085[/C][/ROW]
[ROW][C]125[/C][C]21600[/C][C]21372.1314190956[/C][C]227.868580904356[/C][/ROW]
[ROW][C]126[/C][C]21530[/C][C]21617.0290456198[/C][C]-87.0290456197763[/C][/ROW]
[ROW][C]127[/C][C]21560[/C][C]21537.5199826941[/C][C]22.4800173058502[/C][/ROW]
[ROW][C]128[/C][C]21670[/C][C]21569.9762189726[/C][C]100.023781027397[/C][/ROW]
[ROW][C]129[/C][C]21540[/C][C]21690.9051269145[/C][C]-150.905126914487[/C][/ROW]
[ROW][C]130[/C][C]21540[/C][C]21544.4167656161[/C][C]-4.41676561613713[/C][/ROW]
[ROW][C]131[/C][C]21550[/C][C]21543.9341761327[/C][C]6.06582386732407[/C][/ROW]
[ROW][C]132[/C][C]21590[/C][C]21554.5969468254[/C][C]35.4030531746248[/C][/ROW]
[ROW][C]133[/C][C]21420[/C][C]21598.4651940065[/C][C]-178.465194006523[/C][/ROW]
[ROW][C]134[/C][C]21420[/C][C]21408.9655344646[/C][C]11.0344655353801[/C][/ROW]
[ROW][C]135[/C][C]21370[/C][C]21410.1711943266[/C][C]-40.1711943265582[/C][/ROW]
[ROW][C]136[/C][C]21380[/C][C]21355.7819652832[/C][C]24.2180347167850[/C][/ROW]
[ROW][C]137[/C][C]21210[/C][C]21368.4281027241[/C][C]-158.428102724076[/C][/ROW]
[ROW][C]138[/C][C]21505[/C][C]21181.1177578012[/C][C]323.882242198844[/C][/ROW]
[ROW][C]139[/C][C]21365[/C][C]21511.5061341717[/C][C]-146.506134171701[/C][/ROW]
[ROW][C]140[/C][C]21385[/C][C]21355.4984204376[/C][C]29.5015795623513[/C][/ROW]
[ROW][C]141[/C][C]21350[/C][C]21378.7218543437[/C][C]-28.7218543437193[/C][/ROW]
[ROW][C]142[/C][C]21360[/C][C]21340.5836156287[/C][C]19.4163843712995[/C][/ROW]
[ROW][C]143[/C][C]21530[/C][C]21352.7051098892[/C][C]177.294890110847[/C][/ROW]
[ROW][C]144[/C][C]21380[/C][C]21542.0768984047[/C][C]-162.076898404699[/C][/ROW]
[ROW][C]145[/C][C]21630[/C][C]21374.3678747707[/C][C]255.632125229251[/C][/ROW]
[ROW][C]146[/C][C]22145[/C][C]21652.2990320908[/C][C]492.700967909233[/C][/ROW]
[ROW][C]147[/C][C]22315[/C][C]22221.1330650162[/C][C]93.8669349837728[/C][/ROW]
[ROW][C]148[/C][C]22340[/C][C]22401.3892569007[/C][C]-61.3892569006712[/C][/ROW]
[ROW][C]149[/C][C]22440[/C][C]22419.6816766593[/C][C]20.3183233407144[/C][/ROW]
[ROW][C]150[/C][C]22135[/C][C]22521.9017195635[/C][C]-386.901719563513[/C][/ROW]
[ROW][C]151[/C][C]21955[/C][C]22174.6276400173[/C][C]-219.627640017283[/C][/ROW]
[ROW][C]152[/C][C]22060[/C][C]21970.6304442046[/C][C]89.3695557954306[/C][/ROW]
[ROW][C]153[/C][C]22050[/C][C]22085.3952385171[/C][C]-35.3952385171142[/C][/ROW]
[ROW][C]154[/C][C]22035[/C][C]22071.5278451896[/C][C]-36.5278451896338[/C][/ROW]
[ROW][C]155[/C][C]22280[/C][C]22052.5366997511[/C][C]227.463300248906[/C][/ROW]
[ROW][C]156[/C][C]22315[/C][C]22322.3900440563[/C][C]-7.39004405625383[/C][/ROW]
[ROW][C]157[/C][C]22205[/C][C]22356.5825849665[/C][C]-151.582584966549[/C][/ROW]
[ROW][C]158[/C][C]21970[/C][C]22230.0202025043[/C][C]-260.020202504336[/C][/ROW]
[ROW][C]159[/C][C]22075[/C][C]21966.6095902778[/C][C]108.390409722193[/C][/ROW]
[ROW][C]160[/C][C]22115[/C][C]22083.4526619701[/C][C]31.5473380299445[/C][/ROW]
[ROW][C]161[/C][C]22105[/C][C]22126.899621779[/C][C]-21.8996217790082[/C][/ROW]
[ROW][C]162[/C][C]21885[/C][C]22114.5068013124[/C][C]-229.506801312447[/C][/ROW]
[ROW][C]163[/C][C]21805[/C][C]21869.4301777554[/C][C]-64.4301777553628[/C][/ROW]
[ROW][C]164[/C][C]21910[/C][C]21782.3903370881[/C][C]127.609662911877[/C][/ROW]
[ROW][C]165[/C][C]21995[/C][C]21901.3333638777[/C][C]93.666636122307[/C][/ROW]
[ROW][C]166[/C][C]22245[/C][C]21996.5676704885[/C][C]248.432329511499[/C][/ROW]
[ROW][C]167[/C][C]22100[/C][C]22273.7121558412[/C][C]-173.712155841196[/C][/ROW]
[ROW][C]168[/C][C]22130[/C][C]22109.7318279624[/C][C]20.2681720375804[/C][/ROW]
[ROW][C]169[/C][C]22300[/C][C]22141.9463911800[/C][C]158.053608819973[/C][/ROW]
[ROW][C]170[/C][C]22915[/C][C]22329.2158177397[/C][C]585.784182260271[/C][/ROW]
[ROW][C]171[/C][C]23040[/C][C]23008.2204108073[/C][C]31.7795891927308[/C][/ROW]
[ROW][C]172[/C][C]22880[/C][C]23136.6927470972[/C][C]-256.692747097208[/C][/ROW]
[ROW][C]173[/C][C]23000[/C][C]22948.6457029487[/C][C]51.3542970512899[/C][/ROW]
[ROW][C]174[/C][C]23160[/C][C]23074.2568324134[/C][C]85.7431675865882[/C][/ROW]
[ROW][C]175[/C][C]23020[/C][C]23243.6253963247[/C][C]-223.625396324656[/C][/ROW]
[ROW][C]176[/C][C]22770[/C][C]23079.1913932826[/C][C]-309.191393282614[/C][/ROW]
[ROW][C]177[/C][C]22660[/C][C]22795.4081845407[/C][C]-135.408184540651[/C][/ROW]
[ROW][C]178[/C][C]22740[/C][C]22670.6130671373[/C][C]69.3869328626533[/C][/ROW]
[ROW][C]179[/C][C]22905[/C][C]22758.1944982114[/C][C]146.805501788596[/C][/ROW]
[ROW][C]180[/C][C]22720[/C][C]22939.2349217780[/C][C]-219.234921777981[/C][/ROW]
[ROW][C]181[/C][C]22705[/C][C]22730.2806355758[/C][C]-25.2806355757639[/C][/ROW]
[ROW][C]182[/C][C]22735[/C][C]22712.5183950757[/C][C]22.4816049242654[/C][/ROW]
[ROW][C]183[/C][C]22600[/C][C]22744.9748048223[/C][C]-144.97480482229[/C][/ROW]
[ROW][C]184[/C][C]22510[/C][C]22594.1344088732[/C][C]-84.1344088732367[/C][/ROW]
[ROW][C]185[/C][C]22560[/C][C]22494.9416229190[/C][C]65.0583770810226[/C][/ROW]
[ROW][C]186[/C][C]22575[/C][C]22552.0501025891[/C][C]22.9498974108537[/C][/ROW]
[ROW][C]187[/C][C]22685[/C][C]22569.5576794224[/C][C]115.442320577597[/C][/ROW]
[ROW][C]188[/C][C]22980[/C][C]22692.1712647241[/C][C]287.828735275871[/C][/ROW]
[ROW][C]189[/C][C]23275[/C][C]23018.6203233235[/C][C]256.379676676519[/C][/ROW]
[ROW][C]190[/C][C]23845[/C][C]23341.6331604287[/C][C]503.366839571303[/C][/ROW]
[ROW][C]191[/C][C]23640[/C][C]23966.6325795085[/C][C]-326.632579508503[/C][/ROW]
[ROW][C]192[/C][C]23640[/C][C]23725.9436927697[/C][C]-85.9436927697461[/C][/ROW]
[ROW][C]193[/C][C]23835[/C][C]23716.5532188563[/C][C]118.446781143743[/C][/ROW]
[ROW][C]194[/C][C]23625[/C][C]23924.4950808198[/C][C]-299.495080819845[/C][/ROW]
[ROW][C]195[/C][C]24055[/C][C]23681.7713211928[/C][C]373.228678807191[/C][/ROW]
[ROW][C]196[/C][C]24005[/C][C]24152.5514419807[/C][C]-147.551441980668[/C][/ROW]
[ROW][C]197[/C][C]24325[/C][C]24086.4295146796[/C][C]238.570485320375[/C][/ROW]
[ROW][C]198[/C][C]24445[/C][C]24432.4964644083[/C][C]12.5035355916589[/C][/ROW]
[ROW][C]199[/C][C]24670[/C][C]24553.8626394122[/C][C]116.137360587818[/C][/ROW]
[ROW][C]200[/C][C]24615[/C][C]24791.5521669369[/C][C]-176.552166936945[/C][/ROW]
[ROW][C]201[/C][C]24700[/C][C]24717.2615306545[/C][C]-17.2615306545013[/C][/ROW]
[ROW][C]202[/C][C]25065[/C][C]24800.3754823816[/C][C]264.624517618435[/C][/ROW]
[ROW][C]203[/C][C]25185[/C][C]25194.2891763303[/C][C]-9.28917633026504[/C][/ROW]
[ROW][C]204[/C][C]25220[/C][C]25313.2742121695[/C][C]-93.2742121694755[/C][/ROW]
[ROW][C]205[/C][C]25235[/C][C]25338.0827830145[/C][C]-103.082783014514[/C][/ROW]
[ROW][C]206[/C][C]24975[/C][C]25341.8196390463[/C][C]-366.819639046276[/C][/ROW]
[ROW][C]207[/C][C]25055[/C][C]25041.7397897821[/C][C]13.2602102179153[/C][/ROW]
[ROW][C]208[/C][C]25520[/C][C]25123.1886413979[/C][C]396.811358602099[/C][/ROW]
[ROW][C]209[/C][C]25880[/C][C]25631.5454787811[/C][C]248.454521218904[/C][/ROW]
[ROW][C]210[/C][C]25960[/C][C]26018.6923888684[/C][C]-58.692388868436[/C][/ROW]
[ROW][C]211[/C][C]25740[/C][C]26092.2794767765[/C][C]-352.279476776494[/C][/ROW]
[ROW][C]212[/C][C]24965[/C][C]25833.7883306514[/C][C]-868.788330651438[/C][/ROW]
[ROW][C]213[/C][C]25235[/C][C]24963.8618282822[/C][C]271.138171717768[/C][/ROW]
[ROW][C]214[/C][C]24895[/C][C]25263.4872242410[/C][C]-368.487224241049[/C][/ROW]
[ROW][C]215[/C][C]24635[/C][C]24883.2251694564[/C][C]-248.225169456415[/C][/ROW]
[ROW][C]216[/C][C]24835[/C][C]24596.1033190526[/C][C]238.896680947393[/C][/ROW]
[ROW][C]217[/C][C]24635[/C][C]24822.2059099253[/C][C]-187.205909925284[/C][/ROW]
[ROW][C]218[/C][C]24695[/C][C]24601.7512127049[/C][C]93.2487872950733[/C][/ROW]
[ROW][C]219[/C][C]25090[/C][C]24671.9398638594[/C][C]418.06013614059[/C][/ROW]
[ROW][C]220[/C][C]25220[/C][C]25112.6184084527[/C][C]107.381591547266[/C][/ROW]
[ROW][C]221[/C][C]24740[/C][C]25254.3512535484[/C][C]-514.351253548357[/C][/ROW]
[ROW][C]222[/C][C]25005[/C][C]24718.1516433948[/C][C]286.848356605191[/C][/ROW]
[ROW][C]223[/C][C]24650[/C][C]25014.4935827858[/C][C]-364.49358278581[/C][/ROW]
[ROW][C]224[/C][C]24460[/C][C]24619.667885629[/C][C]-159.66788562902[/C][/ROW]
[ROW][C]225[/C][C]24680[/C][C]24412.2220781881[/C][C]267.777921811885[/C][/ROW]
[ROW][C]226[/C][C]24840[/C][C]24661.4803228405[/C][C]178.519677159544[/C][/ROW]
[ROW][C]227[/C][C]24630[/C][C]24840.9859353803[/C][C]-210.985935380311[/C][/ROW]
[ROW][C]228[/C][C]24490[/C][C]24607.9329589669[/C][C]-117.932958966907[/C][/ROW]
[ROW][C]229[/C][C]24695[/C][C]24455.0472388049[/C][C]239.952761195087[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77464&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77464&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
32244022200240
42291022016.2231429277893.776857072276
52298022583.8799690465396.120030953542
62253522697.1612698307-162.16126983074
72230022234.443027513665.5569724863926
82278022006.6059852612773.394014738813
92278022571.1094093776208.890590622395
102330022593.9334419366706.066558063445
112380023191.0804597223608.919540277686
122451023757.6128936231752.387106376918
132466024549.8210379043110.178962095681
142473024711.859532365418.1404676345846
152507024783.8416160136286.158383986429
162469025155.1081668604-465.108166860413
172488024724.2890087919155.710991208052
182392024931.3024736997-1011.30247369972
192388023860.804434903919.1955650960517
202399023822.9018017668167.098198233169
212459023951.1594681636638.840531836366
222361024620.9611622235-1010.96116222350
232358023530.500416176249.4995838238465
242336023505.9088939323-145.908893932301
252391023269.9664365156640.033563484416
262394023889.898484906450.1015150936219
272306023925.3727315364-865.372731536361
282280022950.8194280996-150.819428099563
292302022674.340430519345.659569480988
302289022932.1082650808-42.1082650808239
312278022797.5073856906-17.5073856906056
322253022685.5944745354-155.594474535374
332229022418.5937405999-128.593740599936
342282022164.5431904359655.456809564075
352248022766.1604304365-286.160430436539
362211022394.8936559882-284.893655988224
372200021993.76529323756.23470676252691
382223021884.4465165981345.55348340192
392226022152.2027598665107.797240133499
402259022193.9810200133396.018979986689
412282022567.2512796562252.748720343847
422242022824.8673872327-404.867387232716
432223022380.6303232236-150.630323223646
442160022174.1719878272-574.17198782722
452100021481.4361790694-481.436179069355
462136020828.8329718431531.167028156946
472164021246.8699255841393.130074415891
482145021569.8245344616-119.824534461583
492171021366.7321349056343.267865094393
502162021664.2386444425-44.2386444425429
512180021569.4049932086230.595006791398
522149021774.6005174649-284.600517464893
532167021433.5041839366236.495816063380
542213021639.3444488801490.655551119886
552205022152.9549932355-102.954993235518
562205022061.7058119741-11.7058119741123
572214022060.426798722179.5732012778972
582239022159.1212130151230.878786984871
592222022434.3477439738-214.347743973809
602179022240.9274459469-450.927445946894
612151021761.6577173423-251.657717342317
622167021454.1608161309215.839183869062
632174521637.7440734976107.255926502392
642185021724.4631880414125.536811958569
652210521843.1797287193261.820271280736
662205022126.7870220325-76.787022032473
672167022063.3970343085-393.397034308506
682168021640.413256566839.5867434332176
692180021654.7386266963145.261373303667
702192021790.6103340047129.389665995252
712198021924.747849441355.2521505587392
722227021990.7848704461279.215129553879
732174022311.2927798206-571.292779820593
742195021718.8715622422231.128437757787
752201021954.125370817155.8746291828538
762189022020.2304057634-130.230405763377
772192021886.001028497333.9989715027405
782211021919.7158613686190.284138631439
792234022130.5068953861209.493104613895
802221022383.3967604889-173.396760488864
812224022234.45089368265.54910631740131
822196022265.0572062163-305.057206216276
832222021951.7257115507268.274288449313
842206022241.0381907584-181.038190758351
852209022061.257397626528.7426023734515
862196022094.3979033355-134.397903335524
872194021949.7131723841-9.71317238405027
882179021928.6518811019-138.651881101930
892171021763.5023473714-53.5023473713736
902169021677.656515279312.3434847206590
912171021659.005202629650.9947973704257
922167021684.5770520463-14.5770520463047
932164021642.984318216-2.98431821598933
942150021612.6582423697-112.65824236966
952129021460.3488540711-170.348854071137
962125021231.736010955018.2639890450373
972158021193.7315909348386.268409065211
982167021565.9364730155104.063526984457
992162021667.3067761059-47.3067761058628
1002151021612.1378913089-102.137891308888
1012136021490.9779891333-130.977989133349
1022142021326.666928594193.3330714059412
1032147021396.864788891473.1352111086017
1042137021454.8557684495-84.8557684495245
1052137021345.584164515024.4158354850333
1062134021348.2519142801-8.25191428006656
1072113021317.3502845818-187.350284581760
1082113021086.879812539543.1201874604776
1092099021091.5912577014-101.591257701384
1102124020940.4910824059299.508917594078
1112132021223.216353881796.783646118256
1122143021313.7912346535116.208765346488
1132139021436.4885640832-46.4885640832435
1142153021391.4090796647138.590920335337
1152151021546.5519526332-36.5519526331555
1162163021522.5581731407107.441826859289
1172156021654.297599733-94.2975997329886
1182161021573.994352084936.0056479150917
1192156021627.9284406328-67.9284406327533
1202131021570.5063689345-260.506368934544
1212134021292.042636658947.957363341091
1222141021327.282606631182.7173933688828
1232155021406.3205650850143.679434915044
1242138021562.0194249081-182.019424908085
1252160021372.1314190956227.868580904356
1262153021617.0290456198-87.0290456197763
1272156021537.519982694122.4800173058502
1282167021569.9762189726100.023781027397
1292154021690.9051269145-150.905126914487
1302154021544.4167656161-4.41676561613713
1312155021543.93417613276.06582386732407
1322159021554.596946825435.4030531746248
1332142021598.4651940065-178.465194006523
1342142021408.965534464611.0344655353801
1352137021410.1711943266-40.1711943265582
1362138021355.781965283224.2180347167850
1372121021368.4281027241-158.428102724076
1382150521181.1177578012323.882242198844
1392136521511.5061341717-146.506134171701
1402138521355.498420437629.5015795623513
1412135021378.7218543437-28.7218543437193
1422136021340.583615628719.4163843712995
1432153021352.7051098892177.294890110847
1442138021542.0768984047-162.076898404699
1452163021374.3678747707255.632125229251
1462214521652.2990320908492.700967909233
1472231522221.133065016293.8669349837728
1482234022401.3892569007-61.3892569006712
1492244022419.681676659320.3183233407144
1502213522521.9017195635-386.901719563513
1512195522174.6276400173-219.627640017283
1522206021970.630444204689.3695557954306
1532205022085.3952385171-35.3952385171142
1542203522071.5278451896-36.5278451896338
1552228022052.5366997511227.463300248906
1562231522322.3900440563-7.39004405625383
1572220522356.5825849665-151.582584966549
1582197022230.0202025043-260.020202504336
1592207521966.6095902778108.390409722193
1602211522083.452661970131.5473380299445
1612210522126.899621779-21.8996217790082
1622188522114.5068013124-229.506801312447
1632180521869.4301777554-64.4301777553628
1642191021782.3903370881127.609662911877
1652199521901.333363877793.666636122307
1662224521996.5676704885248.432329511499
1672210022273.7121558412-173.712155841196
1682213022109.731827962420.2681720375804
1692230022141.9463911800158.053608819973
1702291522329.2158177397585.784182260271
1712304023008.220410807331.7795891927308
1722288023136.6927470972-256.692747097208
1732300022948.645702948751.3542970512899
1742316023074.256832413485.7431675865882
1752302023243.6253963247-223.625396324656
1762277023079.1913932826-309.191393282614
1772266022795.4081845407-135.408184540651
1782274022670.613067137369.3869328626533
1792290522758.1944982114146.805501788596
1802272022939.2349217780-219.234921777981
1812270522730.2806355758-25.2806355757639
1822273522712.518395075722.4816049242654
1832260022744.9748048223-144.97480482229
1842251022594.1344088732-84.1344088732367
1852256022494.941622919065.0583770810226
1862257522552.050102589122.9498974108537
1872268522569.5576794224115.442320577597
1882298022692.1712647241287.828735275871
1892327523018.6203233235256.379676676519
1902384523341.6331604287503.366839571303
1912364023966.6325795085-326.632579508503
1922364023725.9436927697-85.9436927697461
1932383523716.5532188563118.446781143743
1942362523924.4950808198-299.495080819845
1952405523681.7713211928373.228678807191
1962400524152.5514419807-147.551441980668
1972432524086.4295146796238.570485320375
1982444524432.496464408312.5035355916589
1992467024553.8626394122116.137360587818
2002461524791.5521669369-176.552166936945
2012470024717.2615306545-17.2615306545013
2022506524800.3754823816264.624517618435
2032518525194.2891763303-9.28917633026504
2042522025313.2742121695-93.2742121694755
2052523525338.0827830145-103.082783014514
2062497525341.8196390463-366.819639046276
2072505525041.739789782113.2602102179153
2082552025123.1886413979396.811358602099
2092588025631.5454787811248.454521218904
2102596026018.6923888684-58.692388868436
2112574026092.2794767765-352.279476776494
2122496525833.7883306514-868.788330651438
2132523524963.8618282822271.138171717768
2142489525263.4872242410-368.487224241049
2152463524883.2251694564-248.225169456415
2162483524596.1033190526238.896680947393
2172463524822.2059099253-187.205909925284
2182469524601.751212704993.2487872950733
2192509024671.9398638594418.06013614059
2202522025112.6184084527107.381591547266
2212474025254.3512535484-514.351253548357
2222500524718.1516433948286.848356605191
2232465025014.4935827858-364.49358278581
2242446024619.667885629-159.66788562902
2252468024412.2220781881267.777921811885
2262484024661.4803228405178.519677159544
2272463024840.9859353803-210.985935380311
2282449024607.9329589669-117.932958966907
2292469524455.0472388049239.952761195087







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
23024686.265220274624140.815003532725231.7154370165
23124677.530440549223862.914718723725492.1461623746
23224668.795660823723617.438324432825720.1529972146
23324660.060881098323383.393302816625936.7284593801
23424651.326101372923153.231949764926149.4202529809

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
230 & 24686.2652202746 & 24140.8150035327 & 25231.7154370165 \tabularnewline
231 & 24677.5304405492 & 23862.9147187237 & 25492.1461623746 \tabularnewline
232 & 24668.7956608237 & 23617.4383244328 & 25720.1529972146 \tabularnewline
233 & 24660.0608810983 & 23383.3933028166 & 25936.7284593801 \tabularnewline
234 & 24651.3261013729 & 23153.2319497649 & 26149.4202529809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77464&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]230[/C][C]24686.2652202746[/C][C]24140.8150035327[/C][C]25231.7154370165[/C][/ROW]
[ROW][C]231[/C][C]24677.5304405492[/C][C]23862.9147187237[/C][C]25492.1461623746[/C][/ROW]
[ROW][C]232[/C][C]24668.7956608237[/C][C]23617.4383244328[/C][C]25720.1529972146[/C][/ROW]
[ROW][C]233[/C][C]24660.0608810983[/C][C]23383.3933028166[/C][C]25936.7284593801[/C][/ROW]
[ROW][C]234[/C][C]24651.3261013729[/C][C]23153.2319497649[/C][C]26149.4202529809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77464&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77464&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
23024686.265220274624140.815003532725231.7154370165
23124677.530440549223862.914718723725492.1461623746
23224668.795660823723617.438324432825720.1529972146
23324660.060881098323383.393302816625936.7284593801
23424651.326101372923153.231949764926149.4202529809



Parameters (Session):
par1 = 5 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 5 ; par2 = Double ; par3 = multiplicative ;
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')