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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 computationMon, 29 Nov 2010 20:40:32 +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/Nov/29/t1291063179uckrkw7vsqk5l1g.htm/, Retrieved Mon, 29 Apr 2024 09:09:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103103, Retrieved Mon, 29 Apr 2024 09:09:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:43:04] [74be16979710d4c4e7c6647856088456]
- RMPD    [Exponential Smoothing] [triple Exponentia...] [2010-11-29 20:40:32] [9ea95e194e0eb2a674315798620d5bc6] [Current]
- R         [Exponential Smoothing] [] [2011-11-29 15:44:51] [9401a40688cf36283be626153bc5a38b]
-  M          [Exponential Smoothing] [C8.7] [2011-11-29 20:31:08] [74be16979710d4c4e7c6647856088456]
- RM        [Exponential Smoothing] [Exponential smoot...] [2011-11-29 21:16:02] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
1149822
1086979
1276674
1522522
1742117
1737275
1979900
2061036
1867943
1707752
1298756
1281814
1281151
1164976
1454329
1645288
1817743
1895785
2236311
2295951
2087315
1980891
1465446
1445026
1488120
1338333
1715789
1806090
2083316
2092278
2430800
2424894
2299016
2130688
1652221
1608162
1647074
1479691
1884978
2007898
2208954
2217164
2534291
2560312
2429069
2315077
1799608
1772590
1744799
1659093
2099821
2135736
2427894
2468882
2703217
2766841
2655236
2550373
2052097
1998055
1920748
1876694
2380930
2467402
2770771
2781340
3143926
3172235
2952540
2920877
2384552
2248987
2208616
2178756
2632870
2706905
3029745
3015402
3391414
3507805
3177852
3142961
2545815
2414007
2372578
2332664
2825328
2901478
3263955
3226738
3610786
3709274
3467185
3449646
2802951
2462530
2490645
2561520
3067554
3226951
3546493
3492787
3952263
3932072
3720284
3651555
2914972
2713514
2703997
2591373
3163748
3355137
3613702
3686773
4098716
4063517
3551489
3226663
2656842
2597484
2572399
2596631
3165225
3303145
3698247
3668631
4130433
4131400
3864358
3721110
2892532
2843451
2747502
2668775
3018602
3013392
3393657
3544233
4075832
4032923
3734509
3761285
2970090
2847849
2741680
2830639
3257673
3480085
3843271
3796961
4337767
4243630
3927202
3915296
3087396
2963792
2955792
2829925
3281195
3548011
4059648
3941175
4528594
4433151
4145737
4077132
3198519
3078660
3028202
2858642
3398954
3808883
4175961
4227542
4744616
4608012
4295049
4201144
3353276
3286851
3169889
3051720
3695426
3905501
4296458
4246247
4921849
4821446
4425064
4379099
3472889
3359160
3200944
3153170
3741498
3918719
4403449
4400407
4847473
4716136
4297440
4272253
3271834
3168388
2911748
2720999
3199918
3672623
3892013
3850845
4532467
4484739
4014972
3983758
3158459
3100569
2935404
2855719
3465611
3006985
4095110
4104793
4730788
4642726
4246919
4308117




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103103&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103103&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103103&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.449324655668049
beta0.000702204199901681
gamma0.91359324470301

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.449324655668049 \tabularnewline
beta & 0.000702204199901681 \tabularnewline
gamma & 0.91359324470301 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103103&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]0.449324655668049[/C][/ROW]
[ROW][C]beta[/C][C]0.000702204199901681[/C][/ROW]
[ROW][C]gamma[/C][C]0.91359324470301[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103103&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103103&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
alpha0.449324655668049
beta0.000702204199901681
gamma0.91359324470301







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1312811511215879.2003205165271.7996794872
1411649761123508.8963108541467.1036891497
1514543291427526.9307422526802.0692577497
1616452881624977.3934869220310.6065130809
1718177431803208.5736574414534.4263425625
1818957851889016.251196626768.74880337855
1922363112150351.6290092785959.3709907318
2022959512276399.5525680019551.4474319955
2120873152096455.67756703-9140.677567031
2219808911934653.4643352946237.5356647144
2314654461553194.84478781-87748.8447878123
2414450261502069.82133576-57043.8213357613
2514881201506307.41874740-18187.4187473964
2613383331364489.08985710-26156.0898570959
2717157891630751.3817851785037.6182148324
2818060901851127.98145389-45037.9814538904
2920833161997095.1339979586220.8660020537
3020922782111233.71610509-18955.7161050858
3124308002400869.8903864629930.1096135429
3224248942468334.59079676-43440.5907967607
3322990162245633.634837353382.3651626995
3421306882139786.31006181-9098.31006181473
3516522211666040.16152991-13819.1615299087
3616081621663588.26220464-55426.2622046359
3716470741688108.77785988-41034.7778598769
3814796911532016.0878417-52325.0878417001
3918849781842453.0591707642524.9408292447
4020078981978266.3405275529631.6594724457
4122089542223822.24194732-14868.2419473208
4222171642239595.86372031-22431.8637203104
4325342912552233.65191923-17942.6519192276
4425603122561229.93221186-917.932211856823
4524290692406314.1477030722754.8522969251
4623150772255229.5697889359847.4302110691
4717996081810067.21827160-10459.2182715959
4817725901788173.63652074-15583.6365207382
4917447991837830.12103192-93031.1210319202
5016590931652671.143041516421.85695848591
5120998212037218.5423732162602.4576267861
5221357362175568.52446285-39832.5244628475
5324278942367504.8376022360389.162397767
5424688822413291.9878360655590.0121639352
5527032172763273.76650906-60056.766509057
5627668412761927.216697184913.78330281842
5726552362621558.2823862933677.7176137082
5825503732494062.9879675856310.0120324227
5920520972011959.6134271840137.3865728229
6019980552010257.46568472-12202.4656847171
6119207482022506.14416004-101758.144160038
6218766941883493.52947942-6799.52947942377
6323809302290393.6502864190536.349713591
6424674022389798.8159063977603.1840936118
6527707712684997.9456859785773.0543140261
6627813402739859.4939749941480.5060250093
6731439263025399.16504871118526.834951290
6831722353137115.9813773935119.0186226126
6929525403024934.58046274-72394.5804627389
7029208772861275.7091963359601.2908036662
7123845522372627.0535621211924.9464378762
7222489872332019.83698976-83032.8369897637
7322086162267468.77927478-58852.7792747826
7421787562195602.13626053-16846.1362605328
7526328702647048.41820423-14178.4182042321
7627069052692954.3518542013950.6481457958
7730297452963701.2348105366043.7651894735
7830154022987446.6191701527955.3808298483
7933914143305698.3157951885715.6842048154
8035078053360727.71702716147077.282972842
8131778523244815.23623102-66963.2362310197
8231429613150057.43080498-7096.43080497766
8325458152607487.54571153-61672.5457115322
8424140072486048.66734327-72041.6673432724
8523725782438614.63370534-66036.6337053375
8623326642384664.69687327-52000.6968732695
8728253282821657.516613753670.48338624556
8829014782889740.8151968311737.1848031660
8932639553185706.0022203378248.9977796697
9032267383195782.5103488730955.4896511291
9136107863544451.0184413966334.9815586135
9237092743621646.6532728187627.3467271915
9334671853371324.6006174295860.399382581
9434496463379882.5260911269763.473908878
9528029512844451.53522264-41500.5352226407
9624625302726926.88815884-264396.888158840
9724906452596090.39672371-105445.396723710
9825615202531488.475805130031.5241949018
9930675543033368.0333871234185.9666128829
10032269513119250.46434697107700.535653028
10135464933491855.7450224354637.2549775708
10234927873467582.167437125204.8325629011
10339522633831516.43187976120746.568120243
10439320723943940.23156913-11868.2315691286
10537202843653090.615008667193.3849913981
10636515553635665.7706018715889.2293981262
10729149723020061.79457749-105089.794577491
10827135142761817.42172716-48303.4217271628
10927039972808102.81269686-104105.812696860
11025913732812319.08402944-220946.084029439
11131637483203497.85472923-39749.8547292300
11233551373293100.0239086562036.9760913509
11336137023618433.59452762-4731.59452761617
11436867733552599.97614478134173.023855221
11540987164013520.222446585195.7775534969
11640635174043198.8268912920318.1731087109
11735514893806543.14380253-255054.143802528
11832266633618368.50975754-391705.509757544
11926568422758484.5771562-101642.577156198
12025974842530085.1965917867398.8034082241
12125723992600048.37875682-27649.3787568221
12225966312579624.7159178517006.2840821492
12331652253168742.89468948-3517.89468948497
12433031453325707.61655029-22562.6165502854
12536982473579285.36251992118961.637480079
12636686313638798.8467542129832.1532457881
12741304334028049.82710341102383.17289659
12841314004032670.8715298998729.1284701149
12938643583692593.14930596171764.850694040
13037211103627469.0447457893640.9552542237
13128925323131763.70632868-239231.706328681
13228434512926714.057876-83263.0578759983
13327475022881243.85191718-133741.851917182
13426687752835663.51673567-166888.516735673
13530186023331816.95706841-313214.957068415
13630133923339937.47256149-326545.472561494
13733936573527923.80589374-134266.805893738
13835442333428530.84394286115702.156057135
13940758323892608.13831852183223.861681476
14040329233931482.95341505101440.046584950
14137345093629136.33073290105372.669267096
14237612853494625.26436288266659.735637121
14329700902908998.4116342861091.5883657243
14428478492917255.83865995-69406.8386599515
14527416802852518.04013351-110838.040133507
14628306392800462.3230030930176.6769969082
14732576733311517.57802799-53844.5780279944
14834800853429526.3554200350558.6445799707
14938432713883861.20173513-40590.2017351263
15037969613952518.93927919-155557.939279186
15143377674328798.301329748968.69867026433
15242436304248292.30799866-4662.30799865816
15339272023900277.5002714326924.4997285721
15439152963811663.16659534103632.833404661
15530873963049315.9080121638080.0919878441
15629637922981525.11405577-17733.1140557742
15729557922919122.4318843236669.5681156823
15828299253004296.21376346-174371.213763456
15932811953381115.12932168-99920.1293216813
16035480113530873.6464289517137.3535710522
16140596483924252.62788640135395.372113596
16239411754014118.57059015-72943.5705901543
16345285944510289.9600860618304.0399139393
16444331514427122.953063616028.04693638626
16541457374099808.1240161945928.8759838142
16640771324058335.7962479918796.2037520148
16731985193224874.86177652-26355.8617765205
16830786603100016.48266343-21356.4826634275
16930282023063318.53810005-35116.538100048
17028586423010004.38764582-151362.387645825
17133989543434565.36879225-35611.3687922517
17238088833672078.31336194136804.686638056
17341759614178727.43239384-2766.43239383725
17442275424101662.19701107125879.802988928
17547446164733100.8698963811515.1301036160
17646080124640730.30713272-32718.3071327247
17742950494316090.23779858-21041.2377985828
17842011444230865.80470834-29721.8047083411
17933532763352863.00691643412.993083572481
18032868513242530.3089781244320.6910218834
18131698893228423.48949908-58534.4894990847
18230517203106100.52519276-54380.525192759
18336954263632497.9611004262928.0388995814
18439055014001086.09363987-95585.093639873
18542964584333083.78489143-36625.784891434
18642462474305499.40174536-59252.4017453594
18749218494796132.73853849125716.261461509
18848214464732773.2733208388672.7266791705
18944250644468541.40282752-43477.4028275246
19043790994368851.1930957810247.8069042219
19134728893523963.43281464-51074.4328146395
19233591603412564.67874247-53404.678742473
19332009443302749.7037284-101805.703728402
19431531703163008.10682421-9838.10682420991
19537414983768385.11242673-26887.1124267261
19639187194016790.26708917-98071.2670891709
19744034494377252.1815706526196.8184293527
19844004074366451.3564565533955.6435434455
19948474734991990.37755421-144517.377554213
20047161364788455.1798111-72319.1798111014
20142974404385234.29667774-87794.2966777394
20242722534292478.68450884-20225.6845088359
20332718343402856.49081998-131022.490819981
20431683883254146.41104936-85758.4110493618
20529117483105217.30706913-193469.307069132
20627209992970301.78197178-249302.781971778
20731999183459173.11880858-259255.118808582
20836726233566952.9673333105670.032666703
20938920134081139.23101098-189126.231010978
21038508453977083.84712417-126238.847124167
21145324674440396.3965996292070.6034003822
21244847394379104.5266934105634.473306597
21340149724047729.41480898-32757.4148089779
21439837584013386.14465595-29628.1446559522
21531584593063484.6987183694974.3012816403
21631005693038850.5428560961718.4571439149
21729354042901802.2750642233601.7249357812
21828557192840702.0329917615016.9670082373
21934656113443291.3093233622319.6906766407
22030069853861229.40645906-854244.406459063
22140951103795537.91256494299572.087435059
22241047933942604.63007496162188.369925035
22347307884645335.3376033985452.662396606
22446427264587882.349009854843.650990204
22542469194164034.2084524682884.7915475392
22643081174183235.20302457124881.796975435

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 1281151 & 1215879.20032051 & 65271.7996794872 \tabularnewline
14 & 1164976 & 1123508.89631085 & 41467.1036891497 \tabularnewline
15 & 1454329 & 1427526.93074225 & 26802.0692577497 \tabularnewline
16 & 1645288 & 1624977.39348692 & 20310.6065130809 \tabularnewline
17 & 1817743 & 1803208.57365744 & 14534.4263425625 \tabularnewline
18 & 1895785 & 1889016.25119662 & 6768.74880337855 \tabularnewline
19 & 2236311 & 2150351.62900927 & 85959.3709907318 \tabularnewline
20 & 2295951 & 2276399.55256800 & 19551.4474319955 \tabularnewline
21 & 2087315 & 2096455.67756703 & -9140.677567031 \tabularnewline
22 & 1980891 & 1934653.46433529 & 46237.5356647144 \tabularnewline
23 & 1465446 & 1553194.84478781 & -87748.8447878123 \tabularnewline
24 & 1445026 & 1502069.82133576 & -57043.8213357613 \tabularnewline
25 & 1488120 & 1506307.41874740 & -18187.4187473964 \tabularnewline
26 & 1338333 & 1364489.08985710 & -26156.0898570959 \tabularnewline
27 & 1715789 & 1630751.38178517 & 85037.6182148324 \tabularnewline
28 & 1806090 & 1851127.98145389 & -45037.9814538904 \tabularnewline
29 & 2083316 & 1997095.13399795 & 86220.8660020537 \tabularnewline
30 & 2092278 & 2111233.71610509 & -18955.7161050858 \tabularnewline
31 & 2430800 & 2400869.89038646 & 29930.1096135429 \tabularnewline
32 & 2424894 & 2468334.59079676 & -43440.5907967607 \tabularnewline
33 & 2299016 & 2245633.6348373 & 53382.3651626995 \tabularnewline
34 & 2130688 & 2139786.31006181 & -9098.31006181473 \tabularnewline
35 & 1652221 & 1666040.16152991 & -13819.1615299087 \tabularnewline
36 & 1608162 & 1663588.26220464 & -55426.2622046359 \tabularnewline
37 & 1647074 & 1688108.77785988 & -41034.7778598769 \tabularnewline
38 & 1479691 & 1532016.0878417 & -52325.0878417001 \tabularnewline
39 & 1884978 & 1842453.05917076 & 42524.9408292447 \tabularnewline
40 & 2007898 & 1978266.34052755 & 29631.6594724457 \tabularnewline
41 & 2208954 & 2223822.24194732 & -14868.2419473208 \tabularnewline
42 & 2217164 & 2239595.86372031 & -22431.8637203104 \tabularnewline
43 & 2534291 & 2552233.65191923 & -17942.6519192276 \tabularnewline
44 & 2560312 & 2561229.93221186 & -917.932211856823 \tabularnewline
45 & 2429069 & 2406314.14770307 & 22754.8522969251 \tabularnewline
46 & 2315077 & 2255229.56978893 & 59847.4302110691 \tabularnewline
47 & 1799608 & 1810067.21827160 & -10459.2182715959 \tabularnewline
48 & 1772590 & 1788173.63652074 & -15583.6365207382 \tabularnewline
49 & 1744799 & 1837830.12103192 & -93031.1210319202 \tabularnewline
50 & 1659093 & 1652671.14304151 & 6421.85695848591 \tabularnewline
51 & 2099821 & 2037218.54237321 & 62602.4576267861 \tabularnewline
52 & 2135736 & 2175568.52446285 & -39832.5244628475 \tabularnewline
53 & 2427894 & 2367504.83760223 & 60389.162397767 \tabularnewline
54 & 2468882 & 2413291.98783606 & 55590.0121639352 \tabularnewline
55 & 2703217 & 2763273.76650906 & -60056.766509057 \tabularnewline
56 & 2766841 & 2761927.21669718 & 4913.78330281842 \tabularnewline
57 & 2655236 & 2621558.28238629 & 33677.7176137082 \tabularnewline
58 & 2550373 & 2494062.98796758 & 56310.0120324227 \tabularnewline
59 & 2052097 & 2011959.61342718 & 40137.3865728229 \tabularnewline
60 & 1998055 & 2010257.46568472 & -12202.4656847171 \tabularnewline
61 & 1920748 & 2022506.14416004 & -101758.144160038 \tabularnewline
62 & 1876694 & 1883493.52947942 & -6799.52947942377 \tabularnewline
63 & 2380930 & 2290393.65028641 & 90536.349713591 \tabularnewline
64 & 2467402 & 2389798.81590639 & 77603.1840936118 \tabularnewline
65 & 2770771 & 2684997.94568597 & 85773.0543140261 \tabularnewline
66 & 2781340 & 2739859.49397499 & 41480.5060250093 \tabularnewline
67 & 3143926 & 3025399.16504871 & 118526.834951290 \tabularnewline
68 & 3172235 & 3137115.98137739 & 35119.0186226126 \tabularnewline
69 & 2952540 & 3024934.58046274 & -72394.5804627389 \tabularnewline
70 & 2920877 & 2861275.70919633 & 59601.2908036662 \tabularnewline
71 & 2384552 & 2372627.05356212 & 11924.9464378762 \tabularnewline
72 & 2248987 & 2332019.83698976 & -83032.8369897637 \tabularnewline
73 & 2208616 & 2267468.77927478 & -58852.7792747826 \tabularnewline
74 & 2178756 & 2195602.13626053 & -16846.1362605328 \tabularnewline
75 & 2632870 & 2647048.41820423 & -14178.4182042321 \tabularnewline
76 & 2706905 & 2692954.35185420 & 13950.6481457958 \tabularnewline
77 & 3029745 & 2963701.23481053 & 66043.7651894735 \tabularnewline
78 & 3015402 & 2987446.61917015 & 27955.3808298483 \tabularnewline
79 & 3391414 & 3305698.31579518 & 85715.6842048154 \tabularnewline
80 & 3507805 & 3360727.71702716 & 147077.282972842 \tabularnewline
81 & 3177852 & 3244815.23623102 & -66963.2362310197 \tabularnewline
82 & 3142961 & 3150057.43080498 & -7096.43080497766 \tabularnewline
83 & 2545815 & 2607487.54571153 & -61672.5457115322 \tabularnewline
84 & 2414007 & 2486048.66734327 & -72041.6673432724 \tabularnewline
85 & 2372578 & 2438614.63370534 & -66036.6337053375 \tabularnewline
86 & 2332664 & 2384664.69687327 & -52000.6968732695 \tabularnewline
87 & 2825328 & 2821657.51661375 & 3670.48338624556 \tabularnewline
88 & 2901478 & 2889740.81519683 & 11737.1848031660 \tabularnewline
89 & 3263955 & 3185706.00222033 & 78248.9977796697 \tabularnewline
90 & 3226738 & 3195782.51034887 & 30955.4896511291 \tabularnewline
91 & 3610786 & 3544451.01844139 & 66334.9815586135 \tabularnewline
92 & 3709274 & 3621646.65327281 & 87627.3467271915 \tabularnewline
93 & 3467185 & 3371324.60061742 & 95860.399382581 \tabularnewline
94 & 3449646 & 3379882.52609112 & 69763.473908878 \tabularnewline
95 & 2802951 & 2844451.53522264 & -41500.5352226407 \tabularnewline
96 & 2462530 & 2726926.88815884 & -264396.888158840 \tabularnewline
97 & 2490645 & 2596090.39672371 & -105445.396723710 \tabularnewline
98 & 2561520 & 2531488.4758051 & 30031.5241949018 \tabularnewline
99 & 3067554 & 3033368.03338712 & 34185.9666128829 \tabularnewline
100 & 3226951 & 3119250.46434697 & 107700.535653028 \tabularnewline
101 & 3546493 & 3491855.74502243 & 54637.2549775708 \tabularnewline
102 & 3492787 & 3467582.1674371 & 25204.8325629011 \tabularnewline
103 & 3952263 & 3831516.43187976 & 120746.568120243 \tabularnewline
104 & 3932072 & 3943940.23156913 & -11868.2315691286 \tabularnewline
105 & 3720284 & 3653090.6150086 & 67193.3849913981 \tabularnewline
106 & 3651555 & 3635665.77060187 & 15889.2293981262 \tabularnewline
107 & 2914972 & 3020061.79457749 & -105089.794577491 \tabularnewline
108 & 2713514 & 2761817.42172716 & -48303.4217271628 \tabularnewline
109 & 2703997 & 2808102.81269686 & -104105.812696860 \tabularnewline
110 & 2591373 & 2812319.08402944 & -220946.084029439 \tabularnewline
111 & 3163748 & 3203497.85472923 & -39749.8547292300 \tabularnewline
112 & 3355137 & 3293100.02390865 & 62036.9760913509 \tabularnewline
113 & 3613702 & 3618433.59452762 & -4731.59452761617 \tabularnewline
114 & 3686773 & 3552599.97614478 & 134173.023855221 \tabularnewline
115 & 4098716 & 4013520.2224465 & 85195.7775534969 \tabularnewline
116 & 4063517 & 4043198.82689129 & 20318.1731087109 \tabularnewline
117 & 3551489 & 3806543.14380253 & -255054.143802528 \tabularnewline
118 & 3226663 & 3618368.50975754 & -391705.509757544 \tabularnewline
119 & 2656842 & 2758484.5771562 & -101642.577156198 \tabularnewline
120 & 2597484 & 2530085.19659178 & 67398.8034082241 \tabularnewline
121 & 2572399 & 2600048.37875682 & -27649.3787568221 \tabularnewline
122 & 2596631 & 2579624.71591785 & 17006.2840821492 \tabularnewline
123 & 3165225 & 3168742.89468948 & -3517.89468948497 \tabularnewline
124 & 3303145 & 3325707.61655029 & -22562.6165502854 \tabularnewline
125 & 3698247 & 3579285.36251992 & 118961.637480079 \tabularnewline
126 & 3668631 & 3638798.84675421 & 29832.1532457881 \tabularnewline
127 & 4130433 & 4028049.82710341 & 102383.17289659 \tabularnewline
128 & 4131400 & 4032670.87152989 & 98729.1284701149 \tabularnewline
129 & 3864358 & 3692593.14930596 & 171764.850694040 \tabularnewline
130 & 3721110 & 3627469.04474578 & 93640.9552542237 \tabularnewline
131 & 2892532 & 3131763.70632868 & -239231.706328681 \tabularnewline
132 & 2843451 & 2926714.057876 & -83263.0578759983 \tabularnewline
133 & 2747502 & 2881243.85191718 & -133741.851917182 \tabularnewline
134 & 2668775 & 2835663.51673567 & -166888.516735673 \tabularnewline
135 & 3018602 & 3331816.95706841 & -313214.957068415 \tabularnewline
136 & 3013392 & 3339937.47256149 & -326545.472561494 \tabularnewline
137 & 3393657 & 3527923.80589374 & -134266.805893738 \tabularnewline
138 & 3544233 & 3428530.84394286 & 115702.156057135 \tabularnewline
139 & 4075832 & 3892608.13831852 & 183223.861681476 \tabularnewline
140 & 4032923 & 3931482.95341505 & 101440.046584950 \tabularnewline
141 & 3734509 & 3629136.33073290 & 105372.669267096 \tabularnewline
142 & 3761285 & 3494625.26436288 & 266659.735637121 \tabularnewline
143 & 2970090 & 2908998.41163428 & 61091.5883657243 \tabularnewline
144 & 2847849 & 2917255.83865995 & -69406.8386599515 \tabularnewline
145 & 2741680 & 2852518.04013351 & -110838.040133507 \tabularnewline
146 & 2830639 & 2800462.32300309 & 30176.6769969082 \tabularnewline
147 & 3257673 & 3311517.57802799 & -53844.5780279944 \tabularnewline
148 & 3480085 & 3429526.35542003 & 50558.6445799707 \tabularnewline
149 & 3843271 & 3883861.20173513 & -40590.2017351263 \tabularnewline
150 & 3796961 & 3952518.93927919 & -155557.939279186 \tabularnewline
151 & 4337767 & 4328798.30132974 & 8968.69867026433 \tabularnewline
152 & 4243630 & 4248292.30799866 & -4662.30799865816 \tabularnewline
153 & 3927202 & 3900277.50027143 & 26924.4997285721 \tabularnewline
154 & 3915296 & 3811663.16659534 & 103632.833404661 \tabularnewline
155 & 3087396 & 3049315.90801216 & 38080.0919878441 \tabularnewline
156 & 2963792 & 2981525.11405577 & -17733.1140557742 \tabularnewline
157 & 2955792 & 2919122.43188432 & 36669.5681156823 \tabularnewline
158 & 2829925 & 3004296.21376346 & -174371.213763456 \tabularnewline
159 & 3281195 & 3381115.12932168 & -99920.1293216813 \tabularnewline
160 & 3548011 & 3530873.64642895 & 17137.3535710522 \tabularnewline
161 & 4059648 & 3924252.62788640 & 135395.372113596 \tabularnewline
162 & 3941175 & 4014118.57059015 & -72943.5705901543 \tabularnewline
163 & 4528594 & 4510289.96008606 & 18304.0399139393 \tabularnewline
164 & 4433151 & 4427122.95306361 & 6028.04693638626 \tabularnewline
165 & 4145737 & 4099808.12401619 & 45928.8759838142 \tabularnewline
166 & 4077132 & 4058335.79624799 & 18796.2037520148 \tabularnewline
167 & 3198519 & 3224874.86177652 & -26355.8617765205 \tabularnewline
168 & 3078660 & 3100016.48266343 & -21356.4826634275 \tabularnewline
169 & 3028202 & 3063318.53810005 & -35116.538100048 \tabularnewline
170 & 2858642 & 3010004.38764582 & -151362.387645825 \tabularnewline
171 & 3398954 & 3434565.36879225 & -35611.3687922517 \tabularnewline
172 & 3808883 & 3672078.31336194 & 136804.686638056 \tabularnewline
173 & 4175961 & 4178727.43239384 & -2766.43239383725 \tabularnewline
174 & 4227542 & 4101662.19701107 & 125879.802988928 \tabularnewline
175 & 4744616 & 4733100.86989638 & 11515.1301036160 \tabularnewline
176 & 4608012 & 4640730.30713272 & -32718.3071327247 \tabularnewline
177 & 4295049 & 4316090.23779858 & -21041.2377985828 \tabularnewline
178 & 4201144 & 4230865.80470834 & -29721.8047083411 \tabularnewline
179 & 3353276 & 3352863.00691643 & 412.993083572481 \tabularnewline
180 & 3286851 & 3242530.30897812 & 44320.6910218834 \tabularnewline
181 & 3169889 & 3228423.48949908 & -58534.4894990847 \tabularnewline
182 & 3051720 & 3106100.52519276 & -54380.525192759 \tabularnewline
183 & 3695426 & 3632497.96110042 & 62928.0388995814 \tabularnewline
184 & 3905501 & 4001086.09363987 & -95585.093639873 \tabularnewline
185 & 4296458 & 4333083.78489143 & -36625.784891434 \tabularnewline
186 & 4246247 & 4305499.40174536 & -59252.4017453594 \tabularnewline
187 & 4921849 & 4796132.73853849 & 125716.261461509 \tabularnewline
188 & 4821446 & 4732773.27332083 & 88672.7266791705 \tabularnewline
189 & 4425064 & 4468541.40282752 & -43477.4028275246 \tabularnewline
190 & 4379099 & 4368851.19309578 & 10247.8069042219 \tabularnewline
191 & 3472889 & 3523963.43281464 & -51074.4328146395 \tabularnewline
192 & 3359160 & 3412564.67874247 & -53404.678742473 \tabularnewline
193 & 3200944 & 3302749.7037284 & -101805.703728402 \tabularnewline
194 & 3153170 & 3163008.10682421 & -9838.10682420991 \tabularnewline
195 & 3741498 & 3768385.11242673 & -26887.1124267261 \tabularnewline
196 & 3918719 & 4016790.26708917 & -98071.2670891709 \tabularnewline
197 & 4403449 & 4377252.18157065 & 26196.8184293527 \tabularnewline
198 & 4400407 & 4366451.35645655 & 33955.6435434455 \tabularnewline
199 & 4847473 & 4991990.37755421 & -144517.377554213 \tabularnewline
200 & 4716136 & 4788455.1798111 & -72319.1798111014 \tabularnewline
201 & 4297440 & 4385234.29667774 & -87794.2966777394 \tabularnewline
202 & 4272253 & 4292478.68450884 & -20225.6845088359 \tabularnewline
203 & 3271834 & 3402856.49081998 & -131022.490819981 \tabularnewline
204 & 3168388 & 3254146.41104936 & -85758.4110493618 \tabularnewline
205 & 2911748 & 3105217.30706913 & -193469.307069132 \tabularnewline
206 & 2720999 & 2970301.78197178 & -249302.781971778 \tabularnewline
207 & 3199918 & 3459173.11880858 & -259255.118808582 \tabularnewline
208 & 3672623 & 3566952.9673333 & 105670.032666703 \tabularnewline
209 & 3892013 & 4081139.23101098 & -189126.231010978 \tabularnewline
210 & 3850845 & 3977083.84712417 & -126238.847124167 \tabularnewline
211 & 4532467 & 4440396.39659962 & 92070.6034003822 \tabularnewline
212 & 4484739 & 4379104.5266934 & 105634.473306597 \tabularnewline
213 & 4014972 & 4047729.41480898 & -32757.4148089779 \tabularnewline
214 & 3983758 & 4013386.14465595 & -29628.1446559522 \tabularnewline
215 & 3158459 & 3063484.69871836 & 94974.3012816403 \tabularnewline
216 & 3100569 & 3038850.54285609 & 61718.4571439149 \tabularnewline
217 & 2935404 & 2901802.27506422 & 33601.7249357812 \tabularnewline
218 & 2855719 & 2840702.03299176 & 15016.9670082373 \tabularnewline
219 & 3465611 & 3443291.30932336 & 22319.6906766407 \tabularnewline
220 & 3006985 & 3861229.40645906 & -854244.406459063 \tabularnewline
221 & 4095110 & 3795537.91256494 & 299572.087435059 \tabularnewline
222 & 4104793 & 3942604.63007496 & 162188.369925035 \tabularnewline
223 & 4730788 & 4645335.33760339 & 85452.662396606 \tabularnewline
224 & 4642726 & 4587882.3490098 & 54843.650990204 \tabularnewline
225 & 4246919 & 4164034.20845246 & 82884.7915475392 \tabularnewline
226 & 4308117 & 4183235.20302457 & 124881.796975435 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103103&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]1281151[/C][C]1215879.20032051[/C][C]65271.7996794872[/C][/ROW]
[ROW][C]14[/C][C]1164976[/C][C]1123508.89631085[/C][C]41467.1036891497[/C][/ROW]
[ROW][C]15[/C][C]1454329[/C][C]1427526.93074225[/C][C]26802.0692577497[/C][/ROW]
[ROW][C]16[/C][C]1645288[/C][C]1624977.39348692[/C][C]20310.6065130809[/C][/ROW]
[ROW][C]17[/C][C]1817743[/C][C]1803208.57365744[/C][C]14534.4263425625[/C][/ROW]
[ROW][C]18[/C][C]1895785[/C][C]1889016.25119662[/C][C]6768.74880337855[/C][/ROW]
[ROW][C]19[/C][C]2236311[/C][C]2150351.62900927[/C][C]85959.3709907318[/C][/ROW]
[ROW][C]20[/C][C]2295951[/C][C]2276399.55256800[/C][C]19551.4474319955[/C][/ROW]
[ROW][C]21[/C][C]2087315[/C][C]2096455.67756703[/C][C]-9140.677567031[/C][/ROW]
[ROW][C]22[/C][C]1980891[/C][C]1934653.46433529[/C][C]46237.5356647144[/C][/ROW]
[ROW][C]23[/C][C]1465446[/C][C]1553194.84478781[/C][C]-87748.8447878123[/C][/ROW]
[ROW][C]24[/C][C]1445026[/C][C]1502069.82133576[/C][C]-57043.8213357613[/C][/ROW]
[ROW][C]25[/C][C]1488120[/C][C]1506307.41874740[/C][C]-18187.4187473964[/C][/ROW]
[ROW][C]26[/C][C]1338333[/C][C]1364489.08985710[/C][C]-26156.0898570959[/C][/ROW]
[ROW][C]27[/C][C]1715789[/C][C]1630751.38178517[/C][C]85037.6182148324[/C][/ROW]
[ROW][C]28[/C][C]1806090[/C][C]1851127.98145389[/C][C]-45037.9814538904[/C][/ROW]
[ROW][C]29[/C][C]2083316[/C][C]1997095.13399795[/C][C]86220.8660020537[/C][/ROW]
[ROW][C]30[/C][C]2092278[/C][C]2111233.71610509[/C][C]-18955.7161050858[/C][/ROW]
[ROW][C]31[/C][C]2430800[/C][C]2400869.89038646[/C][C]29930.1096135429[/C][/ROW]
[ROW][C]32[/C][C]2424894[/C][C]2468334.59079676[/C][C]-43440.5907967607[/C][/ROW]
[ROW][C]33[/C][C]2299016[/C][C]2245633.6348373[/C][C]53382.3651626995[/C][/ROW]
[ROW][C]34[/C][C]2130688[/C][C]2139786.31006181[/C][C]-9098.31006181473[/C][/ROW]
[ROW][C]35[/C][C]1652221[/C][C]1666040.16152991[/C][C]-13819.1615299087[/C][/ROW]
[ROW][C]36[/C][C]1608162[/C][C]1663588.26220464[/C][C]-55426.2622046359[/C][/ROW]
[ROW][C]37[/C][C]1647074[/C][C]1688108.77785988[/C][C]-41034.7778598769[/C][/ROW]
[ROW][C]38[/C][C]1479691[/C][C]1532016.0878417[/C][C]-52325.0878417001[/C][/ROW]
[ROW][C]39[/C][C]1884978[/C][C]1842453.05917076[/C][C]42524.9408292447[/C][/ROW]
[ROW][C]40[/C][C]2007898[/C][C]1978266.34052755[/C][C]29631.6594724457[/C][/ROW]
[ROW][C]41[/C][C]2208954[/C][C]2223822.24194732[/C][C]-14868.2419473208[/C][/ROW]
[ROW][C]42[/C][C]2217164[/C][C]2239595.86372031[/C][C]-22431.8637203104[/C][/ROW]
[ROW][C]43[/C][C]2534291[/C][C]2552233.65191923[/C][C]-17942.6519192276[/C][/ROW]
[ROW][C]44[/C][C]2560312[/C][C]2561229.93221186[/C][C]-917.932211856823[/C][/ROW]
[ROW][C]45[/C][C]2429069[/C][C]2406314.14770307[/C][C]22754.8522969251[/C][/ROW]
[ROW][C]46[/C][C]2315077[/C][C]2255229.56978893[/C][C]59847.4302110691[/C][/ROW]
[ROW][C]47[/C][C]1799608[/C][C]1810067.21827160[/C][C]-10459.2182715959[/C][/ROW]
[ROW][C]48[/C][C]1772590[/C][C]1788173.63652074[/C][C]-15583.6365207382[/C][/ROW]
[ROW][C]49[/C][C]1744799[/C][C]1837830.12103192[/C][C]-93031.1210319202[/C][/ROW]
[ROW][C]50[/C][C]1659093[/C][C]1652671.14304151[/C][C]6421.85695848591[/C][/ROW]
[ROW][C]51[/C][C]2099821[/C][C]2037218.54237321[/C][C]62602.4576267861[/C][/ROW]
[ROW][C]52[/C][C]2135736[/C][C]2175568.52446285[/C][C]-39832.5244628475[/C][/ROW]
[ROW][C]53[/C][C]2427894[/C][C]2367504.83760223[/C][C]60389.162397767[/C][/ROW]
[ROW][C]54[/C][C]2468882[/C][C]2413291.98783606[/C][C]55590.0121639352[/C][/ROW]
[ROW][C]55[/C][C]2703217[/C][C]2763273.76650906[/C][C]-60056.766509057[/C][/ROW]
[ROW][C]56[/C][C]2766841[/C][C]2761927.21669718[/C][C]4913.78330281842[/C][/ROW]
[ROW][C]57[/C][C]2655236[/C][C]2621558.28238629[/C][C]33677.7176137082[/C][/ROW]
[ROW][C]58[/C][C]2550373[/C][C]2494062.98796758[/C][C]56310.0120324227[/C][/ROW]
[ROW][C]59[/C][C]2052097[/C][C]2011959.61342718[/C][C]40137.3865728229[/C][/ROW]
[ROW][C]60[/C][C]1998055[/C][C]2010257.46568472[/C][C]-12202.4656847171[/C][/ROW]
[ROW][C]61[/C][C]1920748[/C][C]2022506.14416004[/C][C]-101758.144160038[/C][/ROW]
[ROW][C]62[/C][C]1876694[/C][C]1883493.52947942[/C][C]-6799.52947942377[/C][/ROW]
[ROW][C]63[/C][C]2380930[/C][C]2290393.65028641[/C][C]90536.349713591[/C][/ROW]
[ROW][C]64[/C][C]2467402[/C][C]2389798.81590639[/C][C]77603.1840936118[/C][/ROW]
[ROW][C]65[/C][C]2770771[/C][C]2684997.94568597[/C][C]85773.0543140261[/C][/ROW]
[ROW][C]66[/C][C]2781340[/C][C]2739859.49397499[/C][C]41480.5060250093[/C][/ROW]
[ROW][C]67[/C][C]3143926[/C][C]3025399.16504871[/C][C]118526.834951290[/C][/ROW]
[ROW][C]68[/C][C]3172235[/C][C]3137115.98137739[/C][C]35119.0186226126[/C][/ROW]
[ROW][C]69[/C][C]2952540[/C][C]3024934.58046274[/C][C]-72394.5804627389[/C][/ROW]
[ROW][C]70[/C][C]2920877[/C][C]2861275.70919633[/C][C]59601.2908036662[/C][/ROW]
[ROW][C]71[/C][C]2384552[/C][C]2372627.05356212[/C][C]11924.9464378762[/C][/ROW]
[ROW][C]72[/C][C]2248987[/C][C]2332019.83698976[/C][C]-83032.8369897637[/C][/ROW]
[ROW][C]73[/C][C]2208616[/C][C]2267468.77927478[/C][C]-58852.7792747826[/C][/ROW]
[ROW][C]74[/C][C]2178756[/C][C]2195602.13626053[/C][C]-16846.1362605328[/C][/ROW]
[ROW][C]75[/C][C]2632870[/C][C]2647048.41820423[/C][C]-14178.4182042321[/C][/ROW]
[ROW][C]76[/C][C]2706905[/C][C]2692954.35185420[/C][C]13950.6481457958[/C][/ROW]
[ROW][C]77[/C][C]3029745[/C][C]2963701.23481053[/C][C]66043.7651894735[/C][/ROW]
[ROW][C]78[/C][C]3015402[/C][C]2987446.61917015[/C][C]27955.3808298483[/C][/ROW]
[ROW][C]79[/C][C]3391414[/C][C]3305698.31579518[/C][C]85715.6842048154[/C][/ROW]
[ROW][C]80[/C][C]3507805[/C][C]3360727.71702716[/C][C]147077.282972842[/C][/ROW]
[ROW][C]81[/C][C]3177852[/C][C]3244815.23623102[/C][C]-66963.2362310197[/C][/ROW]
[ROW][C]82[/C][C]3142961[/C][C]3150057.43080498[/C][C]-7096.43080497766[/C][/ROW]
[ROW][C]83[/C][C]2545815[/C][C]2607487.54571153[/C][C]-61672.5457115322[/C][/ROW]
[ROW][C]84[/C][C]2414007[/C][C]2486048.66734327[/C][C]-72041.6673432724[/C][/ROW]
[ROW][C]85[/C][C]2372578[/C][C]2438614.63370534[/C][C]-66036.6337053375[/C][/ROW]
[ROW][C]86[/C][C]2332664[/C][C]2384664.69687327[/C][C]-52000.6968732695[/C][/ROW]
[ROW][C]87[/C][C]2825328[/C][C]2821657.51661375[/C][C]3670.48338624556[/C][/ROW]
[ROW][C]88[/C][C]2901478[/C][C]2889740.81519683[/C][C]11737.1848031660[/C][/ROW]
[ROW][C]89[/C][C]3263955[/C][C]3185706.00222033[/C][C]78248.9977796697[/C][/ROW]
[ROW][C]90[/C][C]3226738[/C][C]3195782.51034887[/C][C]30955.4896511291[/C][/ROW]
[ROW][C]91[/C][C]3610786[/C][C]3544451.01844139[/C][C]66334.9815586135[/C][/ROW]
[ROW][C]92[/C][C]3709274[/C][C]3621646.65327281[/C][C]87627.3467271915[/C][/ROW]
[ROW][C]93[/C][C]3467185[/C][C]3371324.60061742[/C][C]95860.399382581[/C][/ROW]
[ROW][C]94[/C][C]3449646[/C][C]3379882.52609112[/C][C]69763.473908878[/C][/ROW]
[ROW][C]95[/C][C]2802951[/C][C]2844451.53522264[/C][C]-41500.5352226407[/C][/ROW]
[ROW][C]96[/C][C]2462530[/C][C]2726926.88815884[/C][C]-264396.888158840[/C][/ROW]
[ROW][C]97[/C][C]2490645[/C][C]2596090.39672371[/C][C]-105445.396723710[/C][/ROW]
[ROW][C]98[/C][C]2561520[/C][C]2531488.4758051[/C][C]30031.5241949018[/C][/ROW]
[ROW][C]99[/C][C]3067554[/C][C]3033368.03338712[/C][C]34185.9666128829[/C][/ROW]
[ROW][C]100[/C][C]3226951[/C][C]3119250.46434697[/C][C]107700.535653028[/C][/ROW]
[ROW][C]101[/C][C]3546493[/C][C]3491855.74502243[/C][C]54637.2549775708[/C][/ROW]
[ROW][C]102[/C][C]3492787[/C][C]3467582.1674371[/C][C]25204.8325629011[/C][/ROW]
[ROW][C]103[/C][C]3952263[/C][C]3831516.43187976[/C][C]120746.568120243[/C][/ROW]
[ROW][C]104[/C][C]3932072[/C][C]3943940.23156913[/C][C]-11868.2315691286[/C][/ROW]
[ROW][C]105[/C][C]3720284[/C][C]3653090.6150086[/C][C]67193.3849913981[/C][/ROW]
[ROW][C]106[/C][C]3651555[/C][C]3635665.77060187[/C][C]15889.2293981262[/C][/ROW]
[ROW][C]107[/C][C]2914972[/C][C]3020061.79457749[/C][C]-105089.794577491[/C][/ROW]
[ROW][C]108[/C][C]2713514[/C][C]2761817.42172716[/C][C]-48303.4217271628[/C][/ROW]
[ROW][C]109[/C][C]2703997[/C][C]2808102.81269686[/C][C]-104105.812696860[/C][/ROW]
[ROW][C]110[/C][C]2591373[/C][C]2812319.08402944[/C][C]-220946.084029439[/C][/ROW]
[ROW][C]111[/C][C]3163748[/C][C]3203497.85472923[/C][C]-39749.8547292300[/C][/ROW]
[ROW][C]112[/C][C]3355137[/C][C]3293100.02390865[/C][C]62036.9760913509[/C][/ROW]
[ROW][C]113[/C][C]3613702[/C][C]3618433.59452762[/C][C]-4731.59452761617[/C][/ROW]
[ROW][C]114[/C][C]3686773[/C][C]3552599.97614478[/C][C]134173.023855221[/C][/ROW]
[ROW][C]115[/C][C]4098716[/C][C]4013520.2224465[/C][C]85195.7775534969[/C][/ROW]
[ROW][C]116[/C][C]4063517[/C][C]4043198.82689129[/C][C]20318.1731087109[/C][/ROW]
[ROW][C]117[/C][C]3551489[/C][C]3806543.14380253[/C][C]-255054.143802528[/C][/ROW]
[ROW][C]118[/C][C]3226663[/C][C]3618368.50975754[/C][C]-391705.509757544[/C][/ROW]
[ROW][C]119[/C][C]2656842[/C][C]2758484.5771562[/C][C]-101642.577156198[/C][/ROW]
[ROW][C]120[/C][C]2597484[/C][C]2530085.19659178[/C][C]67398.8034082241[/C][/ROW]
[ROW][C]121[/C][C]2572399[/C][C]2600048.37875682[/C][C]-27649.3787568221[/C][/ROW]
[ROW][C]122[/C][C]2596631[/C][C]2579624.71591785[/C][C]17006.2840821492[/C][/ROW]
[ROW][C]123[/C][C]3165225[/C][C]3168742.89468948[/C][C]-3517.89468948497[/C][/ROW]
[ROW][C]124[/C][C]3303145[/C][C]3325707.61655029[/C][C]-22562.6165502854[/C][/ROW]
[ROW][C]125[/C][C]3698247[/C][C]3579285.36251992[/C][C]118961.637480079[/C][/ROW]
[ROW][C]126[/C][C]3668631[/C][C]3638798.84675421[/C][C]29832.1532457881[/C][/ROW]
[ROW][C]127[/C][C]4130433[/C][C]4028049.82710341[/C][C]102383.17289659[/C][/ROW]
[ROW][C]128[/C][C]4131400[/C][C]4032670.87152989[/C][C]98729.1284701149[/C][/ROW]
[ROW][C]129[/C][C]3864358[/C][C]3692593.14930596[/C][C]171764.850694040[/C][/ROW]
[ROW][C]130[/C][C]3721110[/C][C]3627469.04474578[/C][C]93640.9552542237[/C][/ROW]
[ROW][C]131[/C][C]2892532[/C][C]3131763.70632868[/C][C]-239231.706328681[/C][/ROW]
[ROW][C]132[/C][C]2843451[/C][C]2926714.057876[/C][C]-83263.0578759983[/C][/ROW]
[ROW][C]133[/C][C]2747502[/C][C]2881243.85191718[/C][C]-133741.851917182[/C][/ROW]
[ROW][C]134[/C][C]2668775[/C][C]2835663.51673567[/C][C]-166888.516735673[/C][/ROW]
[ROW][C]135[/C][C]3018602[/C][C]3331816.95706841[/C][C]-313214.957068415[/C][/ROW]
[ROW][C]136[/C][C]3013392[/C][C]3339937.47256149[/C][C]-326545.472561494[/C][/ROW]
[ROW][C]137[/C][C]3393657[/C][C]3527923.80589374[/C][C]-134266.805893738[/C][/ROW]
[ROW][C]138[/C][C]3544233[/C][C]3428530.84394286[/C][C]115702.156057135[/C][/ROW]
[ROW][C]139[/C][C]4075832[/C][C]3892608.13831852[/C][C]183223.861681476[/C][/ROW]
[ROW][C]140[/C][C]4032923[/C][C]3931482.95341505[/C][C]101440.046584950[/C][/ROW]
[ROW][C]141[/C][C]3734509[/C][C]3629136.33073290[/C][C]105372.669267096[/C][/ROW]
[ROW][C]142[/C][C]3761285[/C][C]3494625.26436288[/C][C]266659.735637121[/C][/ROW]
[ROW][C]143[/C][C]2970090[/C][C]2908998.41163428[/C][C]61091.5883657243[/C][/ROW]
[ROW][C]144[/C][C]2847849[/C][C]2917255.83865995[/C][C]-69406.8386599515[/C][/ROW]
[ROW][C]145[/C][C]2741680[/C][C]2852518.04013351[/C][C]-110838.040133507[/C][/ROW]
[ROW][C]146[/C][C]2830639[/C][C]2800462.32300309[/C][C]30176.6769969082[/C][/ROW]
[ROW][C]147[/C][C]3257673[/C][C]3311517.57802799[/C][C]-53844.5780279944[/C][/ROW]
[ROW][C]148[/C][C]3480085[/C][C]3429526.35542003[/C][C]50558.6445799707[/C][/ROW]
[ROW][C]149[/C][C]3843271[/C][C]3883861.20173513[/C][C]-40590.2017351263[/C][/ROW]
[ROW][C]150[/C][C]3796961[/C][C]3952518.93927919[/C][C]-155557.939279186[/C][/ROW]
[ROW][C]151[/C][C]4337767[/C][C]4328798.30132974[/C][C]8968.69867026433[/C][/ROW]
[ROW][C]152[/C][C]4243630[/C][C]4248292.30799866[/C][C]-4662.30799865816[/C][/ROW]
[ROW][C]153[/C][C]3927202[/C][C]3900277.50027143[/C][C]26924.4997285721[/C][/ROW]
[ROW][C]154[/C][C]3915296[/C][C]3811663.16659534[/C][C]103632.833404661[/C][/ROW]
[ROW][C]155[/C][C]3087396[/C][C]3049315.90801216[/C][C]38080.0919878441[/C][/ROW]
[ROW][C]156[/C][C]2963792[/C][C]2981525.11405577[/C][C]-17733.1140557742[/C][/ROW]
[ROW][C]157[/C][C]2955792[/C][C]2919122.43188432[/C][C]36669.5681156823[/C][/ROW]
[ROW][C]158[/C][C]2829925[/C][C]3004296.21376346[/C][C]-174371.213763456[/C][/ROW]
[ROW][C]159[/C][C]3281195[/C][C]3381115.12932168[/C][C]-99920.1293216813[/C][/ROW]
[ROW][C]160[/C][C]3548011[/C][C]3530873.64642895[/C][C]17137.3535710522[/C][/ROW]
[ROW][C]161[/C][C]4059648[/C][C]3924252.62788640[/C][C]135395.372113596[/C][/ROW]
[ROW][C]162[/C][C]3941175[/C][C]4014118.57059015[/C][C]-72943.5705901543[/C][/ROW]
[ROW][C]163[/C][C]4528594[/C][C]4510289.96008606[/C][C]18304.0399139393[/C][/ROW]
[ROW][C]164[/C][C]4433151[/C][C]4427122.95306361[/C][C]6028.04693638626[/C][/ROW]
[ROW][C]165[/C][C]4145737[/C][C]4099808.12401619[/C][C]45928.8759838142[/C][/ROW]
[ROW][C]166[/C][C]4077132[/C][C]4058335.79624799[/C][C]18796.2037520148[/C][/ROW]
[ROW][C]167[/C][C]3198519[/C][C]3224874.86177652[/C][C]-26355.8617765205[/C][/ROW]
[ROW][C]168[/C][C]3078660[/C][C]3100016.48266343[/C][C]-21356.4826634275[/C][/ROW]
[ROW][C]169[/C][C]3028202[/C][C]3063318.53810005[/C][C]-35116.538100048[/C][/ROW]
[ROW][C]170[/C][C]2858642[/C][C]3010004.38764582[/C][C]-151362.387645825[/C][/ROW]
[ROW][C]171[/C][C]3398954[/C][C]3434565.36879225[/C][C]-35611.3687922517[/C][/ROW]
[ROW][C]172[/C][C]3808883[/C][C]3672078.31336194[/C][C]136804.686638056[/C][/ROW]
[ROW][C]173[/C][C]4175961[/C][C]4178727.43239384[/C][C]-2766.43239383725[/C][/ROW]
[ROW][C]174[/C][C]4227542[/C][C]4101662.19701107[/C][C]125879.802988928[/C][/ROW]
[ROW][C]175[/C][C]4744616[/C][C]4733100.86989638[/C][C]11515.1301036160[/C][/ROW]
[ROW][C]176[/C][C]4608012[/C][C]4640730.30713272[/C][C]-32718.3071327247[/C][/ROW]
[ROW][C]177[/C][C]4295049[/C][C]4316090.23779858[/C][C]-21041.2377985828[/C][/ROW]
[ROW][C]178[/C][C]4201144[/C][C]4230865.80470834[/C][C]-29721.8047083411[/C][/ROW]
[ROW][C]179[/C][C]3353276[/C][C]3352863.00691643[/C][C]412.993083572481[/C][/ROW]
[ROW][C]180[/C][C]3286851[/C][C]3242530.30897812[/C][C]44320.6910218834[/C][/ROW]
[ROW][C]181[/C][C]3169889[/C][C]3228423.48949908[/C][C]-58534.4894990847[/C][/ROW]
[ROW][C]182[/C][C]3051720[/C][C]3106100.52519276[/C][C]-54380.525192759[/C][/ROW]
[ROW][C]183[/C][C]3695426[/C][C]3632497.96110042[/C][C]62928.0388995814[/C][/ROW]
[ROW][C]184[/C][C]3905501[/C][C]4001086.09363987[/C][C]-95585.093639873[/C][/ROW]
[ROW][C]185[/C][C]4296458[/C][C]4333083.78489143[/C][C]-36625.784891434[/C][/ROW]
[ROW][C]186[/C][C]4246247[/C][C]4305499.40174536[/C][C]-59252.4017453594[/C][/ROW]
[ROW][C]187[/C][C]4921849[/C][C]4796132.73853849[/C][C]125716.261461509[/C][/ROW]
[ROW][C]188[/C][C]4821446[/C][C]4732773.27332083[/C][C]88672.7266791705[/C][/ROW]
[ROW][C]189[/C][C]4425064[/C][C]4468541.40282752[/C][C]-43477.4028275246[/C][/ROW]
[ROW][C]190[/C][C]4379099[/C][C]4368851.19309578[/C][C]10247.8069042219[/C][/ROW]
[ROW][C]191[/C][C]3472889[/C][C]3523963.43281464[/C][C]-51074.4328146395[/C][/ROW]
[ROW][C]192[/C][C]3359160[/C][C]3412564.67874247[/C][C]-53404.678742473[/C][/ROW]
[ROW][C]193[/C][C]3200944[/C][C]3302749.7037284[/C][C]-101805.703728402[/C][/ROW]
[ROW][C]194[/C][C]3153170[/C][C]3163008.10682421[/C][C]-9838.10682420991[/C][/ROW]
[ROW][C]195[/C][C]3741498[/C][C]3768385.11242673[/C][C]-26887.1124267261[/C][/ROW]
[ROW][C]196[/C][C]3918719[/C][C]4016790.26708917[/C][C]-98071.2670891709[/C][/ROW]
[ROW][C]197[/C][C]4403449[/C][C]4377252.18157065[/C][C]26196.8184293527[/C][/ROW]
[ROW][C]198[/C][C]4400407[/C][C]4366451.35645655[/C][C]33955.6435434455[/C][/ROW]
[ROW][C]199[/C][C]4847473[/C][C]4991990.37755421[/C][C]-144517.377554213[/C][/ROW]
[ROW][C]200[/C][C]4716136[/C][C]4788455.1798111[/C][C]-72319.1798111014[/C][/ROW]
[ROW][C]201[/C][C]4297440[/C][C]4385234.29667774[/C][C]-87794.2966777394[/C][/ROW]
[ROW][C]202[/C][C]4272253[/C][C]4292478.68450884[/C][C]-20225.6845088359[/C][/ROW]
[ROW][C]203[/C][C]3271834[/C][C]3402856.49081998[/C][C]-131022.490819981[/C][/ROW]
[ROW][C]204[/C][C]3168388[/C][C]3254146.41104936[/C][C]-85758.4110493618[/C][/ROW]
[ROW][C]205[/C][C]2911748[/C][C]3105217.30706913[/C][C]-193469.307069132[/C][/ROW]
[ROW][C]206[/C][C]2720999[/C][C]2970301.78197178[/C][C]-249302.781971778[/C][/ROW]
[ROW][C]207[/C][C]3199918[/C][C]3459173.11880858[/C][C]-259255.118808582[/C][/ROW]
[ROW][C]208[/C][C]3672623[/C][C]3566952.9673333[/C][C]105670.032666703[/C][/ROW]
[ROW][C]209[/C][C]3892013[/C][C]4081139.23101098[/C][C]-189126.231010978[/C][/ROW]
[ROW][C]210[/C][C]3850845[/C][C]3977083.84712417[/C][C]-126238.847124167[/C][/ROW]
[ROW][C]211[/C][C]4532467[/C][C]4440396.39659962[/C][C]92070.6034003822[/C][/ROW]
[ROW][C]212[/C][C]4484739[/C][C]4379104.5266934[/C][C]105634.473306597[/C][/ROW]
[ROW][C]213[/C][C]4014972[/C][C]4047729.41480898[/C][C]-32757.4148089779[/C][/ROW]
[ROW][C]214[/C][C]3983758[/C][C]4013386.14465595[/C][C]-29628.1446559522[/C][/ROW]
[ROW][C]215[/C][C]3158459[/C][C]3063484.69871836[/C][C]94974.3012816403[/C][/ROW]
[ROW][C]216[/C][C]3100569[/C][C]3038850.54285609[/C][C]61718.4571439149[/C][/ROW]
[ROW][C]217[/C][C]2935404[/C][C]2901802.27506422[/C][C]33601.7249357812[/C][/ROW]
[ROW][C]218[/C][C]2855719[/C][C]2840702.03299176[/C][C]15016.9670082373[/C][/ROW]
[ROW][C]219[/C][C]3465611[/C][C]3443291.30932336[/C][C]22319.6906766407[/C][/ROW]
[ROW][C]220[/C][C]3006985[/C][C]3861229.40645906[/C][C]-854244.406459063[/C][/ROW]
[ROW][C]221[/C][C]4095110[/C][C]3795537.91256494[/C][C]299572.087435059[/C][/ROW]
[ROW][C]222[/C][C]4104793[/C][C]3942604.63007496[/C][C]162188.369925035[/C][/ROW]
[ROW][C]223[/C][C]4730788[/C][C]4645335.33760339[/C][C]85452.662396606[/C][/ROW]
[ROW][C]224[/C][C]4642726[/C][C]4587882.3490098[/C][C]54843.650990204[/C][/ROW]
[ROW][C]225[/C][C]4246919[/C][C]4164034.20845246[/C][C]82884.7915475392[/C][/ROW]
[ROW][C]226[/C][C]4308117[/C][C]4183235.20302457[/C][C]124881.796975435[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103103&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103103&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
1312811511215879.2003205165271.7996794872
1411649761123508.8963108541467.1036891497
1514543291427526.9307422526802.0692577497
1616452881624977.3934869220310.6065130809
1718177431803208.5736574414534.4263425625
1818957851889016.251196626768.74880337855
1922363112150351.6290092785959.3709907318
2022959512276399.5525680019551.4474319955
2120873152096455.67756703-9140.677567031
2219808911934653.4643352946237.5356647144
2314654461553194.84478781-87748.8447878123
2414450261502069.82133576-57043.8213357613
2514881201506307.41874740-18187.4187473964
2613383331364489.08985710-26156.0898570959
2717157891630751.3817851785037.6182148324
2818060901851127.98145389-45037.9814538904
2920833161997095.1339979586220.8660020537
3020922782111233.71610509-18955.7161050858
3124308002400869.8903864629930.1096135429
3224248942468334.59079676-43440.5907967607
3322990162245633.634837353382.3651626995
3421306882139786.31006181-9098.31006181473
3516522211666040.16152991-13819.1615299087
3616081621663588.26220464-55426.2622046359
3716470741688108.77785988-41034.7778598769
3814796911532016.0878417-52325.0878417001
3918849781842453.0591707642524.9408292447
4020078981978266.3405275529631.6594724457
4122089542223822.24194732-14868.2419473208
4222171642239595.86372031-22431.8637203104
4325342912552233.65191923-17942.6519192276
4425603122561229.93221186-917.932211856823
4524290692406314.1477030722754.8522969251
4623150772255229.5697889359847.4302110691
4717996081810067.21827160-10459.2182715959
4817725901788173.63652074-15583.6365207382
4917447991837830.12103192-93031.1210319202
5016590931652671.143041516421.85695848591
5120998212037218.5423732162602.4576267861
5221357362175568.52446285-39832.5244628475
5324278942367504.8376022360389.162397767
5424688822413291.9878360655590.0121639352
5527032172763273.76650906-60056.766509057
5627668412761927.216697184913.78330281842
5726552362621558.2823862933677.7176137082
5825503732494062.9879675856310.0120324227
5920520972011959.6134271840137.3865728229
6019980552010257.46568472-12202.4656847171
6119207482022506.14416004-101758.144160038
6218766941883493.52947942-6799.52947942377
6323809302290393.6502864190536.349713591
6424674022389798.8159063977603.1840936118
6527707712684997.9456859785773.0543140261
6627813402739859.4939749941480.5060250093
6731439263025399.16504871118526.834951290
6831722353137115.9813773935119.0186226126
6929525403024934.58046274-72394.5804627389
7029208772861275.7091963359601.2908036662
7123845522372627.0535621211924.9464378762
7222489872332019.83698976-83032.8369897637
7322086162267468.77927478-58852.7792747826
7421787562195602.13626053-16846.1362605328
7526328702647048.41820423-14178.4182042321
7627069052692954.3518542013950.6481457958
7730297452963701.2348105366043.7651894735
7830154022987446.6191701527955.3808298483
7933914143305698.3157951885715.6842048154
8035078053360727.71702716147077.282972842
8131778523244815.23623102-66963.2362310197
8231429613150057.43080498-7096.43080497766
8325458152607487.54571153-61672.5457115322
8424140072486048.66734327-72041.6673432724
8523725782438614.63370534-66036.6337053375
8623326642384664.69687327-52000.6968732695
8728253282821657.516613753670.48338624556
8829014782889740.8151968311737.1848031660
8932639553185706.0022203378248.9977796697
9032267383195782.5103488730955.4896511291
9136107863544451.0184413966334.9815586135
9237092743621646.6532728187627.3467271915
9334671853371324.6006174295860.399382581
9434496463379882.5260911269763.473908878
9528029512844451.53522264-41500.5352226407
9624625302726926.88815884-264396.888158840
9724906452596090.39672371-105445.396723710
9825615202531488.475805130031.5241949018
9930675543033368.0333871234185.9666128829
10032269513119250.46434697107700.535653028
10135464933491855.7450224354637.2549775708
10234927873467582.167437125204.8325629011
10339522633831516.43187976120746.568120243
10439320723943940.23156913-11868.2315691286
10537202843653090.615008667193.3849913981
10636515553635665.7706018715889.2293981262
10729149723020061.79457749-105089.794577491
10827135142761817.42172716-48303.4217271628
10927039972808102.81269686-104105.812696860
11025913732812319.08402944-220946.084029439
11131637483203497.85472923-39749.8547292300
11233551373293100.0239086562036.9760913509
11336137023618433.59452762-4731.59452761617
11436867733552599.97614478134173.023855221
11540987164013520.222446585195.7775534969
11640635174043198.8268912920318.1731087109
11735514893806543.14380253-255054.143802528
11832266633618368.50975754-391705.509757544
11926568422758484.5771562-101642.577156198
12025974842530085.1965917867398.8034082241
12125723992600048.37875682-27649.3787568221
12225966312579624.7159178517006.2840821492
12331652253168742.89468948-3517.89468948497
12433031453325707.61655029-22562.6165502854
12536982473579285.36251992118961.637480079
12636686313638798.8467542129832.1532457881
12741304334028049.82710341102383.17289659
12841314004032670.8715298998729.1284701149
12938643583692593.14930596171764.850694040
13037211103627469.0447457893640.9552542237
13128925323131763.70632868-239231.706328681
13228434512926714.057876-83263.0578759983
13327475022881243.85191718-133741.851917182
13426687752835663.51673567-166888.516735673
13530186023331816.95706841-313214.957068415
13630133923339937.47256149-326545.472561494
13733936573527923.80589374-134266.805893738
13835442333428530.84394286115702.156057135
13940758323892608.13831852183223.861681476
14040329233931482.95341505101440.046584950
14137345093629136.33073290105372.669267096
14237612853494625.26436288266659.735637121
14329700902908998.4116342861091.5883657243
14428478492917255.83865995-69406.8386599515
14527416802852518.04013351-110838.040133507
14628306392800462.3230030930176.6769969082
14732576733311517.57802799-53844.5780279944
14834800853429526.3554200350558.6445799707
14938432713883861.20173513-40590.2017351263
15037969613952518.93927919-155557.939279186
15143377674328798.301329748968.69867026433
15242436304248292.30799866-4662.30799865816
15339272023900277.5002714326924.4997285721
15439152963811663.16659534103632.833404661
15530873963049315.9080121638080.0919878441
15629637922981525.11405577-17733.1140557742
15729557922919122.4318843236669.5681156823
15828299253004296.21376346-174371.213763456
15932811953381115.12932168-99920.1293216813
16035480113530873.6464289517137.3535710522
16140596483924252.62788640135395.372113596
16239411754014118.57059015-72943.5705901543
16345285944510289.9600860618304.0399139393
16444331514427122.953063616028.04693638626
16541457374099808.1240161945928.8759838142
16640771324058335.7962479918796.2037520148
16731985193224874.86177652-26355.8617765205
16830786603100016.48266343-21356.4826634275
16930282023063318.53810005-35116.538100048
17028586423010004.38764582-151362.387645825
17133989543434565.36879225-35611.3687922517
17238088833672078.31336194136804.686638056
17341759614178727.43239384-2766.43239383725
17442275424101662.19701107125879.802988928
17547446164733100.8698963811515.1301036160
17646080124640730.30713272-32718.3071327247
17742950494316090.23779858-21041.2377985828
17842011444230865.80470834-29721.8047083411
17933532763352863.00691643412.993083572481
18032868513242530.3089781244320.6910218834
18131698893228423.48949908-58534.4894990847
18230517203106100.52519276-54380.525192759
18336954263632497.9611004262928.0388995814
18439055014001086.09363987-95585.093639873
18542964584333083.78489143-36625.784891434
18642462474305499.40174536-59252.4017453594
18749218494796132.73853849125716.261461509
18848214464732773.2733208388672.7266791705
18944250644468541.40282752-43477.4028275246
19043790994368851.1930957810247.8069042219
19134728893523963.43281464-51074.4328146395
19233591603412564.67874247-53404.678742473
19332009443302749.7037284-101805.703728402
19431531703163008.10682421-9838.10682420991
19537414983768385.11242673-26887.1124267261
19639187194016790.26708917-98071.2670891709
19744034494377252.1815706526196.8184293527
19844004074366451.3564565533955.6435434455
19948474734991990.37755421-144517.377554213
20047161364788455.1798111-72319.1798111014
20142974404385234.29667774-87794.2966777394
20242722534292478.68450884-20225.6845088359
20332718343402856.49081998-131022.490819981
20431683883254146.41104936-85758.4110493618
20529117483105217.30706913-193469.307069132
20627209992970301.78197178-249302.781971778
20731999183459173.11880858-259255.118808582
20836726233566952.9673333105670.032666703
20938920134081139.23101098-189126.231010978
21038508453977083.84712417-126238.847124167
21145324674440396.3965996292070.6034003822
21244847394379104.5266934105634.473306597
21340149724047729.41480898-32757.4148089779
21439837584013386.14465595-29628.1446559522
21531584593063484.6987183694974.3012816403
21631005693038850.5428560961718.4571439149
21729354042901802.2750642233601.7249357812
21828557192840702.0329917615016.9670082373
21934656113443291.3093233622319.6906766407
22030069853861229.40645906-854244.406459063
22140951103795537.91256494299572.087435059
22241047933942604.63007496162188.369925035
22347307884645335.3376033985452.662396606
22446427264587882.349009854843.650990204
22542469194164034.2084524682884.7915475392
22643081174183235.20302457124881.796975435







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
2273365503.341978633143691.379072683587315.30488458
2283281491.939319463038288.874574843524695.00406408
2293102575.074832862839689.397174683365460.75249104
2303017024.647300252735805.865683463298243.42891703
2313616533.407897273318082.220354273914984.59544028
2323583435.200050003268671.456983603898198.94311639
2334482309.611723854152016.831390994812602.39205672
2344425815.373167144080671.285119374770959.46121491
2355017175.44883844657773.743127275376577.15454954
2364906010.142524984532876.43432215279143.85072785
2374471692.260625484085296.109379454858088.41187151
2384474818.888172144075583.042630184874054.73371409

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
227 & 3365503.34197863 & 3143691.37907268 & 3587315.30488458 \tabularnewline
228 & 3281491.93931946 & 3038288.87457484 & 3524695.00406408 \tabularnewline
229 & 3102575.07483286 & 2839689.39717468 & 3365460.75249104 \tabularnewline
230 & 3017024.64730025 & 2735805.86568346 & 3298243.42891703 \tabularnewline
231 & 3616533.40789727 & 3318082.22035427 & 3914984.59544028 \tabularnewline
232 & 3583435.20005000 & 3268671.45698360 & 3898198.94311639 \tabularnewline
233 & 4482309.61172385 & 4152016.83139099 & 4812602.39205672 \tabularnewline
234 & 4425815.37316714 & 4080671.28511937 & 4770959.46121491 \tabularnewline
235 & 5017175.4488384 & 4657773.74312727 & 5376577.15454954 \tabularnewline
236 & 4906010.14252498 & 4532876.4343221 & 5279143.85072785 \tabularnewline
237 & 4471692.26062548 & 4085296.10937945 & 4858088.41187151 \tabularnewline
238 & 4474818.88817214 & 4075583.04263018 & 4874054.73371409 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103103&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]227[/C][C]3365503.34197863[/C][C]3143691.37907268[/C][C]3587315.30488458[/C][/ROW]
[ROW][C]228[/C][C]3281491.93931946[/C][C]3038288.87457484[/C][C]3524695.00406408[/C][/ROW]
[ROW][C]229[/C][C]3102575.07483286[/C][C]2839689.39717468[/C][C]3365460.75249104[/C][/ROW]
[ROW][C]230[/C][C]3017024.64730025[/C][C]2735805.86568346[/C][C]3298243.42891703[/C][/ROW]
[ROW][C]231[/C][C]3616533.40789727[/C][C]3318082.22035427[/C][C]3914984.59544028[/C][/ROW]
[ROW][C]232[/C][C]3583435.20005000[/C][C]3268671.45698360[/C][C]3898198.94311639[/C][/ROW]
[ROW][C]233[/C][C]4482309.61172385[/C][C]4152016.83139099[/C][C]4812602.39205672[/C][/ROW]
[ROW][C]234[/C][C]4425815.37316714[/C][C]4080671.28511937[/C][C]4770959.46121491[/C][/ROW]
[ROW][C]235[/C][C]5017175.4488384[/C][C]4657773.74312727[/C][C]5376577.15454954[/C][/ROW]
[ROW][C]236[/C][C]4906010.14252498[/C][C]4532876.4343221[/C][C]5279143.85072785[/C][/ROW]
[ROW][C]237[/C][C]4471692.26062548[/C][C]4085296.10937945[/C][C]4858088.41187151[/C][/ROW]
[ROW][C]238[/C][C]4474818.88817214[/C][C]4075583.04263018[/C][C]4874054.73371409[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103103&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103103&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
2273365503.341978633143691.379072683587315.30488458
2283281491.939319463038288.874574843524695.00406408
2293102575.074832862839689.397174683365460.75249104
2303017024.647300252735805.865683463298243.42891703
2313616533.407897273318082.220354273914984.59544028
2323583435.200050003268671.456983603898198.94311639
2334482309.611723854152016.831390994812602.39205672
2344425815.373167144080671.285119374770959.46121491
2355017175.44883844657773.743127275376577.15454954
2364906010.142524984532876.43432215279143.85072785
2374471692.260625484085296.109379454858088.41187151
2384474818.888172144075583.042630184874054.73371409



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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')