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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 computationFri, 22 Nov 2013 07:51:01 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/22/t13851247198qw6dvrxdswki6n.htm/, Retrieved Mon, 29 Apr 2024 17:01:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=227544, Retrieved Mon, 29 Apr 2024 17:01:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [WS807] [2013-11-22 12:51:01] [f1e366d257cd544a6a94e0c7cf247a26] [Current]
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Dataseries X:
6.34
6.42
6.55
6.46
6.25
6.62
6.77
7.08
7.31
7.3
7.19
7.51
7.66
7.5
8.02
7.63
7.25
7.24
7.16
6.83
6.59
6.76
6.43
6.21
5.69
5.56
5.55
5.32
5.07
5.19
5.18
5.16
4.96
4.67
4.54
4.39
4.25
4.32
4.55
4.47
4.36
4.33
4.32
4.49
4.42
4.55
4.56
4.41
4.22
4.17
4.05
4.12
4.13
4.08
4.01
3.93
3.75
3.59
3.55
3.27
3.0617
3.0297
3.0462
2.7564
2.6827
2.8363
3.03
3.2373
3.3011
3.6837
3.6892
3.8263
3.9495
4.1114
4.2675
4.3645
4.8485
4.9649
5.105
5.2484
5.2192
5.2184
5.1933
4.8809
4.5736
4.5913
4.4711
4.4811
4.5205
4.3125
4.3109
4.1075
3.77
3.3694
3.1979
3.2981
3.4832
3.5936
3.8156
3.8602
3.9627
3.8688
3.6448
3.4404
3.2364
3.1259
3.0174
2.8716
2.7045
2.5036
2.4112
2.447
2.2521
2.0137
2.0761
2.2786
2.2576
2.3025
2.4103
2.3808
2.2163
2.163
2.055
2.1626
2.2974
2.4044
2.361
2.302
2.377
2.3161
2.3283
2.301
2.3121
2.31
2.3348
2.2651
2.1933
2.1028
2.168
2.2229
2.2195
2.4136
2.6844
2.7833
2.8335
2.9142
3.1053
3.2214
3.3078
3.4005
3.5386
3.6151
3.7153
3.7992
3.8637
3.9209
4.0644
4.0936
4.1055
4.2527
4.3731
4.5055
4.5638
4.6663
4.7245
4.6467
4.6072
4.7929
4.498
4.3489
4.5901
4.8199
4.9938
5.3608
5.3932
5.323
5.3839
5.2478
4.3504
3.452
2.6216
2.1354
1.9089
1.771
1.6444
1.6105
1.412
1.3343
1.261
1.2426
1.2306
1.2424
1.2322
1.2252
1.2151
1.2252
1.2493
1.2813
1.3734
1.421
1.4205
1.4954
1.5405
1.5261
1.55
1.714
1.9241
2.0856
2.1471
2.1441
2.1827
2.0969
2.0669
2.1101
2.0439
2.0035
1.8366
1.6783
1.4985
1.3678
1.266
1.219
1.0608
0.8766
0.7398
0.6501
0.5879
0.5493
0.5753
0.5942
0.545
0.5284
0.4838
0.5071
0.5254
0.5423
0.5434
0.541




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227544&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227544&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227544&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.855773925018023
beta0.110004386030835
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.855773925018023 \tabularnewline
beta & 0.110004386030835 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227544&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]0.855773925018023[/C][/ROW]
[ROW][C]beta[/C][C]0.110004386030835[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227544&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227544&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
alpha0.855773925018023
beta0.110004386030835
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
137.667.167713675213680.492286324786323
147.57.498990780072750.00100921992724512
158.028.13619075547396-0.116190755473964
167.637.76423931305621-0.134239313056208
177.257.37587191306055-0.125871913060545
187.247.38448234089417-0.144482340894171
197.167.106898376684410.0531016233155865
206.837.39423387800178-0.564233878001783
216.597.01390340603507-0.423903406035074
226.766.470008298785130.289991701214866
236.436.4839288383214-0.0539288383214034
246.216.65137101379121-0.441371013791211
255.696.37211729390046-0.682117293900463
265.565.407019930368220.152980069631779
275.555.95118016473378-0.401180164733785
285.325.099721419928170.220278580071833
295.074.816304180908660.253695819091336
305.194.983142945725330.206857054274672
315.184.903885811348460.276114188651542
325.165.18319090599506-0.0231909059950599
334.965.22720052845499-0.267200528454993
344.674.87621209478124-0.206212094781239
354.544.325022130197970.21497786980203
364.394.60115304372994-0.211153043729944
374.254.44030908493495-0.190309084934948
384.324.018946570534270.301053429465729
394.554.62625462356391-0.0762546235639148
404.474.189432222052040.280567777947955
414.364.015047083695190.344952916304813
424.334.314435302911480.0155646970885206
434.324.124665173939830.195334826060168
444.494.327270650321120.162729349678882
454.424.54829260816298-0.128292608162975
464.554.391149888372520.158850111627483
474.564.313659580908860.246340419091141
484.414.65866535713638-0.248665357136375
494.224.56868901353871-0.348689013538711
504.174.167710095434310.00228990456568567
514.054.52185491198343-0.471854911983433
524.123.817638280633470.302361719366529
534.133.692928589492940.437071410507059
544.084.054053721041890.0259462789581093
554.013.930483406764430.0795165932355717
563.934.04975708777627-0.119757087776266
573.753.98095359345763-0.230953593457631
583.593.76159738595887-0.171597385958875
593.553.367056790265470.182943209734533
603.273.53356768514185-0.263567685141852
613.06173.36216094743528-0.30046094743528
623.02973.003363447882830.0263365521171721
633.04623.262255222487-0.216055222487005
642.75642.86524072892591-0.108840728925909
652.68272.34598642213820.336713577861798
662.83632.49040846629150.345891533708504
673.032.606959977237820.423040022762176
683.23732.982405286319790.254894713680208
693.30113.244384597318880.0567154026811192
703.68373.333052565425430.35064743457457
713.68923.539016850207140.150183149792858
723.82633.712457412724870.113842587275135
733.94953.99359994360842-0.0440999436084208
744.11144.060348135142130.0510518648578682
754.26754.46678399561355-0.19928399561355
764.36454.262516410824330.101983589175669
774.84854.170718777902210.677781222097794
784.96494.823227217830480.141672782169521
795.1054.971801442991990.133198557008015
805.24845.243332665880350.00506733411965499
815.21925.40779074506626-0.188590745066263
825.21845.45068907381148-0.232289073811482
835.19335.19576662701978-0.00246662701977574
844.88095.28584926358381-0.40494926358381
854.57365.10392236759318-0.530322367593176
864.59134.72620356473447-0.134903564734465
874.47114.87779912787324-0.406699127873241
884.48114.460356362301370.0207436376986276
894.52054.295307531135670.225192468864333
904.31254.35380210186997-0.0413021018699684
914.31094.197964537135340.112935462864659
924.10754.285163272994-0.177663272994002
933.774.09960066695189-0.329600666951894
943.36943.83653537438361-0.467135374383607
953.19793.21268723913223-0.0147872391322306
963.29813.031921140014230.266178859985768
973.48323.267168789026330.216031210973674
983.59363.516373180517990.0772268194820067
993.81563.761457666850630.0541423331493665
1003.86023.794575779889270.0656242201107315
1013.96273.696182821682950.26651717831705
1023.86883.754258185701830.114541814298171
1033.64483.77135548232376-0.126555482323763
1043.44043.60646940929915-0.166069409299149
1053.23643.40478384128171-0.168383841281714
1063.12593.27089303137194-0.144993031371941
1073.01743.02933784853709-0.0119378485370887
1082.87162.93317259877573-0.0615725987757298
1092.70452.89149211745947-0.186992117459466
1102.50362.74862589443249-0.245025894432492
1112.41122.65711446853611-0.24591446853611
1122.4472.349369711811670.0976302881883253
1132.25212.224615660184520.0274843398154809
1142.01371.95098680382330.0627131961766982
1152.07611.778851575654050.29724842434595
1162.27861.900736895949280.377863104050723
1172.25762.145195988083750.112404011916247
1182.30252.262397921283290.0401020787167057
1192.41032.223285236583940.187014763416062
1202.38082.333801898831150.0469981011688487
1212.21632.42074743089547-0.204447430895467
1222.1632.30673300241295-0.143733002412955
1232.0552.36347241718016-0.308472417180157
1242.16262.10754635593950.055053644060497
1252.29741.988037374722380.309362625277625
1262.40442.039047159402910.365352840597087
1272.3612.26655293638850.0944470636114989
1282.3022.3142451784109-0.012245178410899
1292.3772.237581592097140.13941840790286
1302.31612.42102496260858-0.104924962608585
1312.32832.318888919070590.0094110809294099
1322.3012.280401876224150.0205981237758488
1332.31212.32918367840552-0.0170836784055224
1342.312.4225987668515-0.112598766851501
1352.33482.52348517096752-0.188685170967519
1362.26512.47503932793838-0.209939327938379
1372.19332.193027593581270.000272406418730942
1382.10281.986097205262780.116702794737219
1392.1681.936831369305120.231168630694882
1402.22292.07409766569830.148802334301696
1412.21952.160248124107310.0592518758926923
1422.41362.235419532517180.178180467482825
1432.68442.414272353383120.270127646616879
1442.78332.647281159912630.136018840087369
1452.83352.84703582801628-0.0135358280162814
1462.91422.98767882361047-0.0734788236104706
1473.10533.17271963512446-0.0674196351244616
1483.22143.29805029784324-0.0766502978432375
1493.30783.246035559803940.0617644401960611
1503.40053.199923246522840.200576753477162
1513.53863.33824181467450.200358185325498
1523.61513.533659805675050.0814401943249483
1533.71533.639304431279350.0759955687206473
1543.79923.83758993321506-0.0383899332150568
1553.86373.91561361072258-0.0519136107225777
1563.92093.894614292436810.0262857075631948
1574.06444.009490742256370.0549092577436268
1584.09364.23710347664982-0.143503476649824
1594.10554.3935424282709-0.288042428270901
1604.25274.33841889061345-0.0857188906134478
1614.37314.307433130034670.0656668699653329
1624.50554.293874768188890.21162523181111
1634.56384.451850902907650.111949097092347
1644.66634.556370983493250.109929016506752
1654.72454.690203606371840.0342963936281615
1664.64674.8369744188098-0.190274418809801
1674.60724.76943836007104-0.162238360071041
1684.79294.641288042904090.151611957095908
1694.4984.85532542905905-0.357325429059054
1704.34894.65051660130368-0.301616601303683
1714.59014.584890008390590.00520999160941038
1724.81994.771600861140550.048299138859452
1734.99384.851450603927670.142349396072332
1745.36084.90609755179510.454702448204904
1755.39325.262131352285790.131068647714213
1765.3235.38893641053477-0.0659364105347686
1775.38395.351018328130430.0328816718695686
1785.24785.4537148492433-0.205914849243301
1794.35045.36489063348876-1.01449063348876
1803.4524.46049334845474-1.00849334845474
1812.62163.40695270792958-0.785352707929584
1822.13542.60220183612205-0.466801836122047
1831.90892.18223394262425-0.27333394262425
1841.7711.85333444359342-0.0823344435934239
1851.64441.53920387793850.105196122061498
1861.61051.307855915303080.302644084696923
1871.4121.1735215335270.238478466473004
1881.33431.060379121336150.273920878663853
1891.2611.056095249429260.204904750570741
1901.24261.016299071706070.226300928293926
1911.23060.9661595689961190.264440431003881
1921.24241.062923682728060.179476317271939
1931.23221.075853921578950.15634607842105
1941.22521.22923284920104-0.00403284920104419
1951.21511.38306345039339-0.167963450393393
1961.22521.3316735872826-0.106473587282599
1971.24931.181448945366940.0678510546330615
1981.28131.100620345503940.180679654496062
1991.37340.9951771868651720.378222813134828
2001.4211.162410997270630.25858900272937
2011.42051.28928418929980.131215810700204
2021.49541.336807439202350.158592560797653
2031.54051.375146215822690.165353784177306
2041.52611.506453237735890.0196467622641059
2051.551.495816068760880.0541839312391199
2061.7141.645565582174330.0684344178256662
2071.92411.9515198121719-0.0274198121719016
2082.08562.15625369145624-0.070653691456243
2092.14712.19217870619332-0.0450787061933156
2102.14412.15070327090166-0.00660327090165902
2112.18272.01557121984310.167128780156896
2122.09692.06712186657840.0297781334216052
2132.06692.040494067579220.0264059324207824
2142.11012.053085432909020.0570145670909818
2152.04392.04672235191177-0.0028223519117665
2162.00352.03851275195475-0.0350127519547527
2171.83662.006353852618-0.169753852618003
2181.67831.96571058453873-0.287410584538734
2191.49851.91901045198589-0.420510451985892
2201.36781.70980023540159-0.342000235401587
2211.2661.42034634834627-0.154346348346265
2221.2191.183769156463830.0352308435361706
2231.06081.006290039833330.0545099601666663
2240.87660.8278487804062860.0487512195937143
2250.73980.7049512878234850.0348487121765153
2260.65010.6179571143437330.0321428856562666
2270.58790.4681128477549150.119787152245085
2280.54930.4581622862194170.0911377137805829
2290.57530.4243778670675680.150922132932432
2300.59420.5812310380198440.0129689619801555
2310.5450.740708274029255-0.195708274029255
2320.52840.724680602940615-0.196280602940615
2330.48380.590191727974916-0.106391727974916
2340.50710.4297065852650230.0773934147349773
2350.52540.3027705476321520.222629452367848
2360.54230.2948784855783850.247421514421615
2370.54340.386202827195680.15719717280432
2380.5410.4612488533264080.0797511466735922

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 7.66 & 7.16771367521368 & 0.492286324786323 \tabularnewline
14 & 7.5 & 7.49899078007275 & 0.00100921992724512 \tabularnewline
15 & 8.02 & 8.13619075547396 & -0.116190755473964 \tabularnewline
16 & 7.63 & 7.76423931305621 & -0.134239313056208 \tabularnewline
17 & 7.25 & 7.37587191306055 & -0.125871913060545 \tabularnewline
18 & 7.24 & 7.38448234089417 & -0.144482340894171 \tabularnewline
19 & 7.16 & 7.10689837668441 & 0.0531016233155865 \tabularnewline
20 & 6.83 & 7.39423387800178 & -0.564233878001783 \tabularnewline
21 & 6.59 & 7.01390340603507 & -0.423903406035074 \tabularnewline
22 & 6.76 & 6.47000829878513 & 0.289991701214866 \tabularnewline
23 & 6.43 & 6.4839288383214 & -0.0539288383214034 \tabularnewline
24 & 6.21 & 6.65137101379121 & -0.441371013791211 \tabularnewline
25 & 5.69 & 6.37211729390046 & -0.682117293900463 \tabularnewline
26 & 5.56 & 5.40701993036822 & 0.152980069631779 \tabularnewline
27 & 5.55 & 5.95118016473378 & -0.401180164733785 \tabularnewline
28 & 5.32 & 5.09972141992817 & 0.220278580071833 \tabularnewline
29 & 5.07 & 4.81630418090866 & 0.253695819091336 \tabularnewline
30 & 5.19 & 4.98314294572533 & 0.206857054274672 \tabularnewline
31 & 5.18 & 4.90388581134846 & 0.276114188651542 \tabularnewline
32 & 5.16 & 5.18319090599506 & -0.0231909059950599 \tabularnewline
33 & 4.96 & 5.22720052845499 & -0.267200528454993 \tabularnewline
34 & 4.67 & 4.87621209478124 & -0.206212094781239 \tabularnewline
35 & 4.54 & 4.32502213019797 & 0.21497786980203 \tabularnewline
36 & 4.39 & 4.60115304372994 & -0.211153043729944 \tabularnewline
37 & 4.25 & 4.44030908493495 & -0.190309084934948 \tabularnewline
38 & 4.32 & 4.01894657053427 & 0.301053429465729 \tabularnewline
39 & 4.55 & 4.62625462356391 & -0.0762546235639148 \tabularnewline
40 & 4.47 & 4.18943222205204 & 0.280567777947955 \tabularnewline
41 & 4.36 & 4.01504708369519 & 0.344952916304813 \tabularnewline
42 & 4.33 & 4.31443530291148 & 0.0155646970885206 \tabularnewline
43 & 4.32 & 4.12466517393983 & 0.195334826060168 \tabularnewline
44 & 4.49 & 4.32727065032112 & 0.162729349678882 \tabularnewline
45 & 4.42 & 4.54829260816298 & -0.128292608162975 \tabularnewline
46 & 4.55 & 4.39114988837252 & 0.158850111627483 \tabularnewline
47 & 4.56 & 4.31365958090886 & 0.246340419091141 \tabularnewline
48 & 4.41 & 4.65866535713638 & -0.248665357136375 \tabularnewline
49 & 4.22 & 4.56868901353871 & -0.348689013538711 \tabularnewline
50 & 4.17 & 4.16771009543431 & 0.00228990456568567 \tabularnewline
51 & 4.05 & 4.52185491198343 & -0.471854911983433 \tabularnewline
52 & 4.12 & 3.81763828063347 & 0.302361719366529 \tabularnewline
53 & 4.13 & 3.69292858949294 & 0.437071410507059 \tabularnewline
54 & 4.08 & 4.05405372104189 & 0.0259462789581093 \tabularnewline
55 & 4.01 & 3.93048340676443 & 0.0795165932355717 \tabularnewline
56 & 3.93 & 4.04975708777627 & -0.119757087776266 \tabularnewline
57 & 3.75 & 3.98095359345763 & -0.230953593457631 \tabularnewline
58 & 3.59 & 3.76159738595887 & -0.171597385958875 \tabularnewline
59 & 3.55 & 3.36705679026547 & 0.182943209734533 \tabularnewline
60 & 3.27 & 3.53356768514185 & -0.263567685141852 \tabularnewline
61 & 3.0617 & 3.36216094743528 & -0.30046094743528 \tabularnewline
62 & 3.0297 & 3.00336344788283 & 0.0263365521171721 \tabularnewline
63 & 3.0462 & 3.262255222487 & -0.216055222487005 \tabularnewline
64 & 2.7564 & 2.86524072892591 & -0.108840728925909 \tabularnewline
65 & 2.6827 & 2.3459864221382 & 0.336713577861798 \tabularnewline
66 & 2.8363 & 2.4904084662915 & 0.345891533708504 \tabularnewline
67 & 3.03 & 2.60695997723782 & 0.423040022762176 \tabularnewline
68 & 3.2373 & 2.98240528631979 & 0.254894713680208 \tabularnewline
69 & 3.3011 & 3.24438459731888 & 0.0567154026811192 \tabularnewline
70 & 3.6837 & 3.33305256542543 & 0.35064743457457 \tabularnewline
71 & 3.6892 & 3.53901685020714 & 0.150183149792858 \tabularnewline
72 & 3.8263 & 3.71245741272487 & 0.113842587275135 \tabularnewline
73 & 3.9495 & 3.99359994360842 & -0.0440999436084208 \tabularnewline
74 & 4.1114 & 4.06034813514213 & 0.0510518648578682 \tabularnewline
75 & 4.2675 & 4.46678399561355 & -0.19928399561355 \tabularnewline
76 & 4.3645 & 4.26251641082433 & 0.101983589175669 \tabularnewline
77 & 4.8485 & 4.17071877790221 & 0.677781222097794 \tabularnewline
78 & 4.9649 & 4.82322721783048 & 0.141672782169521 \tabularnewline
79 & 5.105 & 4.97180144299199 & 0.133198557008015 \tabularnewline
80 & 5.2484 & 5.24333266588035 & 0.00506733411965499 \tabularnewline
81 & 5.2192 & 5.40779074506626 & -0.188590745066263 \tabularnewline
82 & 5.2184 & 5.45068907381148 & -0.232289073811482 \tabularnewline
83 & 5.1933 & 5.19576662701978 & -0.00246662701977574 \tabularnewline
84 & 4.8809 & 5.28584926358381 & -0.40494926358381 \tabularnewline
85 & 4.5736 & 5.10392236759318 & -0.530322367593176 \tabularnewline
86 & 4.5913 & 4.72620356473447 & -0.134903564734465 \tabularnewline
87 & 4.4711 & 4.87779912787324 & -0.406699127873241 \tabularnewline
88 & 4.4811 & 4.46035636230137 & 0.0207436376986276 \tabularnewline
89 & 4.5205 & 4.29530753113567 & 0.225192468864333 \tabularnewline
90 & 4.3125 & 4.35380210186997 & -0.0413021018699684 \tabularnewline
91 & 4.3109 & 4.19796453713534 & 0.112935462864659 \tabularnewline
92 & 4.1075 & 4.285163272994 & -0.177663272994002 \tabularnewline
93 & 3.77 & 4.09960066695189 & -0.329600666951894 \tabularnewline
94 & 3.3694 & 3.83653537438361 & -0.467135374383607 \tabularnewline
95 & 3.1979 & 3.21268723913223 & -0.0147872391322306 \tabularnewline
96 & 3.2981 & 3.03192114001423 & 0.266178859985768 \tabularnewline
97 & 3.4832 & 3.26716878902633 & 0.216031210973674 \tabularnewline
98 & 3.5936 & 3.51637318051799 & 0.0772268194820067 \tabularnewline
99 & 3.8156 & 3.76145766685063 & 0.0541423331493665 \tabularnewline
100 & 3.8602 & 3.79457577988927 & 0.0656242201107315 \tabularnewline
101 & 3.9627 & 3.69618282168295 & 0.26651717831705 \tabularnewline
102 & 3.8688 & 3.75425818570183 & 0.114541814298171 \tabularnewline
103 & 3.6448 & 3.77135548232376 & -0.126555482323763 \tabularnewline
104 & 3.4404 & 3.60646940929915 & -0.166069409299149 \tabularnewline
105 & 3.2364 & 3.40478384128171 & -0.168383841281714 \tabularnewline
106 & 3.1259 & 3.27089303137194 & -0.144993031371941 \tabularnewline
107 & 3.0174 & 3.02933784853709 & -0.0119378485370887 \tabularnewline
108 & 2.8716 & 2.93317259877573 & -0.0615725987757298 \tabularnewline
109 & 2.7045 & 2.89149211745947 & -0.186992117459466 \tabularnewline
110 & 2.5036 & 2.74862589443249 & -0.245025894432492 \tabularnewline
111 & 2.4112 & 2.65711446853611 & -0.24591446853611 \tabularnewline
112 & 2.447 & 2.34936971181167 & 0.0976302881883253 \tabularnewline
113 & 2.2521 & 2.22461566018452 & 0.0274843398154809 \tabularnewline
114 & 2.0137 & 1.9509868038233 & 0.0627131961766982 \tabularnewline
115 & 2.0761 & 1.77885157565405 & 0.29724842434595 \tabularnewline
116 & 2.2786 & 1.90073689594928 & 0.377863104050723 \tabularnewline
117 & 2.2576 & 2.14519598808375 & 0.112404011916247 \tabularnewline
118 & 2.3025 & 2.26239792128329 & 0.0401020787167057 \tabularnewline
119 & 2.4103 & 2.22328523658394 & 0.187014763416062 \tabularnewline
120 & 2.3808 & 2.33380189883115 & 0.0469981011688487 \tabularnewline
121 & 2.2163 & 2.42074743089547 & -0.204447430895467 \tabularnewline
122 & 2.163 & 2.30673300241295 & -0.143733002412955 \tabularnewline
123 & 2.055 & 2.36347241718016 & -0.308472417180157 \tabularnewline
124 & 2.1626 & 2.1075463559395 & 0.055053644060497 \tabularnewline
125 & 2.2974 & 1.98803737472238 & 0.309362625277625 \tabularnewline
126 & 2.4044 & 2.03904715940291 & 0.365352840597087 \tabularnewline
127 & 2.361 & 2.2665529363885 & 0.0944470636114989 \tabularnewline
128 & 2.302 & 2.3142451784109 & -0.012245178410899 \tabularnewline
129 & 2.377 & 2.23758159209714 & 0.13941840790286 \tabularnewline
130 & 2.3161 & 2.42102496260858 & -0.104924962608585 \tabularnewline
131 & 2.3283 & 2.31888891907059 & 0.0094110809294099 \tabularnewline
132 & 2.301 & 2.28040187622415 & 0.0205981237758488 \tabularnewline
133 & 2.3121 & 2.32918367840552 & -0.0170836784055224 \tabularnewline
134 & 2.31 & 2.4225987668515 & -0.112598766851501 \tabularnewline
135 & 2.3348 & 2.52348517096752 & -0.188685170967519 \tabularnewline
136 & 2.2651 & 2.47503932793838 & -0.209939327938379 \tabularnewline
137 & 2.1933 & 2.19302759358127 & 0.000272406418730942 \tabularnewline
138 & 2.1028 & 1.98609720526278 & 0.116702794737219 \tabularnewline
139 & 2.168 & 1.93683136930512 & 0.231168630694882 \tabularnewline
140 & 2.2229 & 2.0740976656983 & 0.148802334301696 \tabularnewline
141 & 2.2195 & 2.16024812410731 & 0.0592518758926923 \tabularnewline
142 & 2.4136 & 2.23541953251718 & 0.178180467482825 \tabularnewline
143 & 2.6844 & 2.41427235338312 & 0.270127646616879 \tabularnewline
144 & 2.7833 & 2.64728115991263 & 0.136018840087369 \tabularnewline
145 & 2.8335 & 2.84703582801628 & -0.0135358280162814 \tabularnewline
146 & 2.9142 & 2.98767882361047 & -0.0734788236104706 \tabularnewline
147 & 3.1053 & 3.17271963512446 & -0.0674196351244616 \tabularnewline
148 & 3.2214 & 3.29805029784324 & -0.0766502978432375 \tabularnewline
149 & 3.3078 & 3.24603555980394 & 0.0617644401960611 \tabularnewline
150 & 3.4005 & 3.19992324652284 & 0.200576753477162 \tabularnewline
151 & 3.5386 & 3.3382418146745 & 0.200358185325498 \tabularnewline
152 & 3.6151 & 3.53365980567505 & 0.0814401943249483 \tabularnewline
153 & 3.7153 & 3.63930443127935 & 0.0759955687206473 \tabularnewline
154 & 3.7992 & 3.83758993321506 & -0.0383899332150568 \tabularnewline
155 & 3.8637 & 3.91561361072258 & -0.0519136107225777 \tabularnewline
156 & 3.9209 & 3.89461429243681 & 0.0262857075631948 \tabularnewline
157 & 4.0644 & 4.00949074225637 & 0.0549092577436268 \tabularnewline
158 & 4.0936 & 4.23710347664982 & -0.143503476649824 \tabularnewline
159 & 4.1055 & 4.3935424282709 & -0.288042428270901 \tabularnewline
160 & 4.2527 & 4.33841889061345 & -0.0857188906134478 \tabularnewline
161 & 4.3731 & 4.30743313003467 & 0.0656668699653329 \tabularnewline
162 & 4.5055 & 4.29387476818889 & 0.21162523181111 \tabularnewline
163 & 4.5638 & 4.45185090290765 & 0.111949097092347 \tabularnewline
164 & 4.6663 & 4.55637098349325 & 0.109929016506752 \tabularnewline
165 & 4.7245 & 4.69020360637184 & 0.0342963936281615 \tabularnewline
166 & 4.6467 & 4.8369744188098 & -0.190274418809801 \tabularnewline
167 & 4.6072 & 4.76943836007104 & -0.162238360071041 \tabularnewline
168 & 4.7929 & 4.64128804290409 & 0.151611957095908 \tabularnewline
169 & 4.498 & 4.85532542905905 & -0.357325429059054 \tabularnewline
170 & 4.3489 & 4.65051660130368 & -0.301616601303683 \tabularnewline
171 & 4.5901 & 4.58489000839059 & 0.00520999160941038 \tabularnewline
172 & 4.8199 & 4.77160086114055 & 0.048299138859452 \tabularnewline
173 & 4.9938 & 4.85145060392767 & 0.142349396072332 \tabularnewline
174 & 5.3608 & 4.9060975517951 & 0.454702448204904 \tabularnewline
175 & 5.3932 & 5.26213135228579 & 0.131068647714213 \tabularnewline
176 & 5.323 & 5.38893641053477 & -0.0659364105347686 \tabularnewline
177 & 5.3839 & 5.35101832813043 & 0.0328816718695686 \tabularnewline
178 & 5.2478 & 5.4537148492433 & -0.205914849243301 \tabularnewline
179 & 4.3504 & 5.36489063348876 & -1.01449063348876 \tabularnewline
180 & 3.452 & 4.46049334845474 & -1.00849334845474 \tabularnewline
181 & 2.6216 & 3.40695270792958 & -0.785352707929584 \tabularnewline
182 & 2.1354 & 2.60220183612205 & -0.466801836122047 \tabularnewline
183 & 1.9089 & 2.18223394262425 & -0.27333394262425 \tabularnewline
184 & 1.771 & 1.85333444359342 & -0.0823344435934239 \tabularnewline
185 & 1.6444 & 1.5392038779385 & 0.105196122061498 \tabularnewline
186 & 1.6105 & 1.30785591530308 & 0.302644084696923 \tabularnewline
187 & 1.412 & 1.173521533527 & 0.238478466473004 \tabularnewline
188 & 1.3343 & 1.06037912133615 & 0.273920878663853 \tabularnewline
189 & 1.261 & 1.05609524942926 & 0.204904750570741 \tabularnewline
190 & 1.2426 & 1.01629907170607 & 0.226300928293926 \tabularnewline
191 & 1.2306 & 0.966159568996119 & 0.264440431003881 \tabularnewline
192 & 1.2424 & 1.06292368272806 & 0.179476317271939 \tabularnewline
193 & 1.2322 & 1.07585392157895 & 0.15634607842105 \tabularnewline
194 & 1.2252 & 1.22923284920104 & -0.00403284920104419 \tabularnewline
195 & 1.2151 & 1.38306345039339 & -0.167963450393393 \tabularnewline
196 & 1.2252 & 1.3316735872826 & -0.106473587282599 \tabularnewline
197 & 1.2493 & 1.18144894536694 & 0.0678510546330615 \tabularnewline
198 & 1.2813 & 1.10062034550394 & 0.180679654496062 \tabularnewline
199 & 1.3734 & 0.995177186865172 & 0.378222813134828 \tabularnewline
200 & 1.421 & 1.16241099727063 & 0.25858900272937 \tabularnewline
201 & 1.4205 & 1.2892841892998 & 0.131215810700204 \tabularnewline
202 & 1.4954 & 1.33680743920235 & 0.158592560797653 \tabularnewline
203 & 1.5405 & 1.37514621582269 & 0.165353784177306 \tabularnewline
204 & 1.5261 & 1.50645323773589 & 0.0196467622641059 \tabularnewline
205 & 1.55 & 1.49581606876088 & 0.0541839312391199 \tabularnewline
206 & 1.714 & 1.64556558217433 & 0.0684344178256662 \tabularnewline
207 & 1.9241 & 1.9515198121719 & -0.0274198121719016 \tabularnewline
208 & 2.0856 & 2.15625369145624 & -0.070653691456243 \tabularnewline
209 & 2.1471 & 2.19217870619332 & -0.0450787061933156 \tabularnewline
210 & 2.1441 & 2.15070327090166 & -0.00660327090165902 \tabularnewline
211 & 2.1827 & 2.0155712198431 & 0.167128780156896 \tabularnewline
212 & 2.0969 & 2.0671218665784 & 0.0297781334216052 \tabularnewline
213 & 2.0669 & 2.04049406757922 & 0.0264059324207824 \tabularnewline
214 & 2.1101 & 2.05308543290902 & 0.0570145670909818 \tabularnewline
215 & 2.0439 & 2.04672235191177 & -0.0028223519117665 \tabularnewline
216 & 2.0035 & 2.03851275195475 & -0.0350127519547527 \tabularnewline
217 & 1.8366 & 2.006353852618 & -0.169753852618003 \tabularnewline
218 & 1.6783 & 1.96571058453873 & -0.287410584538734 \tabularnewline
219 & 1.4985 & 1.91901045198589 & -0.420510451985892 \tabularnewline
220 & 1.3678 & 1.70980023540159 & -0.342000235401587 \tabularnewline
221 & 1.266 & 1.42034634834627 & -0.154346348346265 \tabularnewline
222 & 1.219 & 1.18376915646383 & 0.0352308435361706 \tabularnewline
223 & 1.0608 & 1.00629003983333 & 0.0545099601666663 \tabularnewline
224 & 0.8766 & 0.827848780406286 & 0.0487512195937143 \tabularnewline
225 & 0.7398 & 0.704951287823485 & 0.0348487121765153 \tabularnewline
226 & 0.6501 & 0.617957114343733 & 0.0321428856562666 \tabularnewline
227 & 0.5879 & 0.468112847754915 & 0.119787152245085 \tabularnewline
228 & 0.5493 & 0.458162286219417 & 0.0911377137805829 \tabularnewline
229 & 0.5753 & 0.424377867067568 & 0.150922132932432 \tabularnewline
230 & 0.5942 & 0.581231038019844 & 0.0129689619801555 \tabularnewline
231 & 0.545 & 0.740708274029255 & -0.195708274029255 \tabularnewline
232 & 0.5284 & 0.724680602940615 & -0.196280602940615 \tabularnewline
233 & 0.4838 & 0.590191727974916 & -0.106391727974916 \tabularnewline
234 & 0.5071 & 0.429706585265023 & 0.0773934147349773 \tabularnewline
235 & 0.5254 & 0.302770547632152 & 0.222629452367848 \tabularnewline
236 & 0.5423 & 0.294878485578385 & 0.247421514421615 \tabularnewline
237 & 0.5434 & 0.38620282719568 & 0.15719717280432 \tabularnewline
238 & 0.541 & 0.461248853326408 & 0.0797511466735922 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227544&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]7.66[/C][C]7.16771367521368[/C][C]0.492286324786323[/C][/ROW]
[ROW][C]14[/C][C]7.5[/C][C]7.49899078007275[/C][C]0.00100921992724512[/C][/ROW]
[ROW][C]15[/C][C]8.02[/C][C]8.13619075547396[/C][C]-0.116190755473964[/C][/ROW]
[ROW][C]16[/C][C]7.63[/C][C]7.76423931305621[/C][C]-0.134239313056208[/C][/ROW]
[ROW][C]17[/C][C]7.25[/C][C]7.37587191306055[/C][C]-0.125871913060545[/C][/ROW]
[ROW][C]18[/C][C]7.24[/C][C]7.38448234089417[/C][C]-0.144482340894171[/C][/ROW]
[ROW][C]19[/C][C]7.16[/C][C]7.10689837668441[/C][C]0.0531016233155865[/C][/ROW]
[ROW][C]20[/C][C]6.83[/C][C]7.39423387800178[/C][C]-0.564233878001783[/C][/ROW]
[ROW][C]21[/C][C]6.59[/C][C]7.01390340603507[/C][C]-0.423903406035074[/C][/ROW]
[ROW][C]22[/C][C]6.76[/C][C]6.47000829878513[/C][C]0.289991701214866[/C][/ROW]
[ROW][C]23[/C][C]6.43[/C][C]6.4839288383214[/C][C]-0.0539288383214034[/C][/ROW]
[ROW][C]24[/C][C]6.21[/C][C]6.65137101379121[/C][C]-0.441371013791211[/C][/ROW]
[ROW][C]25[/C][C]5.69[/C][C]6.37211729390046[/C][C]-0.682117293900463[/C][/ROW]
[ROW][C]26[/C][C]5.56[/C][C]5.40701993036822[/C][C]0.152980069631779[/C][/ROW]
[ROW][C]27[/C][C]5.55[/C][C]5.95118016473378[/C][C]-0.401180164733785[/C][/ROW]
[ROW][C]28[/C][C]5.32[/C][C]5.09972141992817[/C][C]0.220278580071833[/C][/ROW]
[ROW][C]29[/C][C]5.07[/C][C]4.81630418090866[/C][C]0.253695819091336[/C][/ROW]
[ROW][C]30[/C][C]5.19[/C][C]4.98314294572533[/C][C]0.206857054274672[/C][/ROW]
[ROW][C]31[/C][C]5.18[/C][C]4.90388581134846[/C][C]0.276114188651542[/C][/ROW]
[ROW][C]32[/C][C]5.16[/C][C]5.18319090599506[/C][C]-0.0231909059950599[/C][/ROW]
[ROW][C]33[/C][C]4.96[/C][C]5.22720052845499[/C][C]-0.267200528454993[/C][/ROW]
[ROW][C]34[/C][C]4.67[/C][C]4.87621209478124[/C][C]-0.206212094781239[/C][/ROW]
[ROW][C]35[/C][C]4.54[/C][C]4.32502213019797[/C][C]0.21497786980203[/C][/ROW]
[ROW][C]36[/C][C]4.39[/C][C]4.60115304372994[/C][C]-0.211153043729944[/C][/ROW]
[ROW][C]37[/C][C]4.25[/C][C]4.44030908493495[/C][C]-0.190309084934948[/C][/ROW]
[ROW][C]38[/C][C]4.32[/C][C]4.01894657053427[/C][C]0.301053429465729[/C][/ROW]
[ROW][C]39[/C][C]4.55[/C][C]4.62625462356391[/C][C]-0.0762546235639148[/C][/ROW]
[ROW][C]40[/C][C]4.47[/C][C]4.18943222205204[/C][C]0.280567777947955[/C][/ROW]
[ROW][C]41[/C][C]4.36[/C][C]4.01504708369519[/C][C]0.344952916304813[/C][/ROW]
[ROW][C]42[/C][C]4.33[/C][C]4.31443530291148[/C][C]0.0155646970885206[/C][/ROW]
[ROW][C]43[/C][C]4.32[/C][C]4.12466517393983[/C][C]0.195334826060168[/C][/ROW]
[ROW][C]44[/C][C]4.49[/C][C]4.32727065032112[/C][C]0.162729349678882[/C][/ROW]
[ROW][C]45[/C][C]4.42[/C][C]4.54829260816298[/C][C]-0.128292608162975[/C][/ROW]
[ROW][C]46[/C][C]4.55[/C][C]4.39114988837252[/C][C]0.158850111627483[/C][/ROW]
[ROW][C]47[/C][C]4.56[/C][C]4.31365958090886[/C][C]0.246340419091141[/C][/ROW]
[ROW][C]48[/C][C]4.41[/C][C]4.65866535713638[/C][C]-0.248665357136375[/C][/ROW]
[ROW][C]49[/C][C]4.22[/C][C]4.56868901353871[/C][C]-0.348689013538711[/C][/ROW]
[ROW][C]50[/C][C]4.17[/C][C]4.16771009543431[/C][C]0.00228990456568567[/C][/ROW]
[ROW][C]51[/C][C]4.05[/C][C]4.52185491198343[/C][C]-0.471854911983433[/C][/ROW]
[ROW][C]52[/C][C]4.12[/C][C]3.81763828063347[/C][C]0.302361719366529[/C][/ROW]
[ROW][C]53[/C][C]4.13[/C][C]3.69292858949294[/C][C]0.437071410507059[/C][/ROW]
[ROW][C]54[/C][C]4.08[/C][C]4.05405372104189[/C][C]0.0259462789581093[/C][/ROW]
[ROW][C]55[/C][C]4.01[/C][C]3.93048340676443[/C][C]0.0795165932355717[/C][/ROW]
[ROW][C]56[/C][C]3.93[/C][C]4.04975708777627[/C][C]-0.119757087776266[/C][/ROW]
[ROW][C]57[/C][C]3.75[/C][C]3.98095359345763[/C][C]-0.230953593457631[/C][/ROW]
[ROW][C]58[/C][C]3.59[/C][C]3.76159738595887[/C][C]-0.171597385958875[/C][/ROW]
[ROW][C]59[/C][C]3.55[/C][C]3.36705679026547[/C][C]0.182943209734533[/C][/ROW]
[ROW][C]60[/C][C]3.27[/C][C]3.53356768514185[/C][C]-0.263567685141852[/C][/ROW]
[ROW][C]61[/C][C]3.0617[/C][C]3.36216094743528[/C][C]-0.30046094743528[/C][/ROW]
[ROW][C]62[/C][C]3.0297[/C][C]3.00336344788283[/C][C]0.0263365521171721[/C][/ROW]
[ROW][C]63[/C][C]3.0462[/C][C]3.262255222487[/C][C]-0.216055222487005[/C][/ROW]
[ROW][C]64[/C][C]2.7564[/C][C]2.86524072892591[/C][C]-0.108840728925909[/C][/ROW]
[ROW][C]65[/C][C]2.6827[/C][C]2.3459864221382[/C][C]0.336713577861798[/C][/ROW]
[ROW][C]66[/C][C]2.8363[/C][C]2.4904084662915[/C][C]0.345891533708504[/C][/ROW]
[ROW][C]67[/C][C]3.03[/C][C]2.60695997723782[/C][C]0.423040022762176[/C][/ROW]
[ROW][C]68[/C][C]3.2373[/C][C]2.98240528631979[/C][C]0.254894713680208[/C][/ROW]
[ROW][C]69[/C][C]3.3011[/C][C]3.24438459731888[/C][C]0.0567154026811192[/C][/ROW]
[ROW][C]70[/C][C]3.6837[/C][C]3.33305256542543[/C][C]0.35064743457457[/C][/ROW]
[ROW][C]71[/C][C]3.6892[/C][C]3.53901685020714[/C][C]0.150183149792858[/C][/ROW]
[ROW][C]72[/C][C]3.8263[/C][C]3.71245741272487[/C][C]0.113842587275135[/C][/ROW]
[ROW][C]73[/C][C]3.9495[/C][C]3.99359994360842[/C][C]-0.0440999436084208[/C][/ROW]
[ROW][C]74[/C][C]4.1114[/C][C]4.06034813514213[/C][C]0.0510518648578682[/C][/ROW]
[ROW][C]75[/C][C]4.2675[/C][C]4.46678399561355[/C][C]-0.19928399561355[/C][/ROW]
[ROW][C]76[/C][C]4.3645[/C][C]4.26251641082433[/C][C]0.101983589175669[/C][/ROW]
[ROW][C]77[/C][C]4.8485[/C][C]4.17071877790221[/C][C]0.677781222097794[/C][/ROW]
[ROW][C]78[/C][C]4.9649[/C][C]4.82322721783048[/C][C]0.141672782169521[/C][/ROW]
[ROW][C]79[/C][C]5.105[/C][C]4.97180144299199[/C][C]0.133198557008015[/C][/ROW]
[ROW][C]80[/C][C]5.2484[/C][C]5.24333266588035[/C][C]0.00506733411965499[/C][/ROW]
[ROW][C]81[/C][C]5.2192[/C][C]5.40779074506626[/C][C]-0.188590745066263[/C][/ROW]
[ROW][C]82[/C][C]5.2184[/C][C]5.45068907381148[/C][C]-0.232289073811482[/C][/ROW]
[ROW][C]83[/C][C]5.1933[/C][C]5.19576662701978[/C][C]-0.00246662701977574[/C][/ROW]
[ROW][C]84[/C][C]4.8809[/C][C]5.28584926358381[/C][C]-0.40494926358381[/C][/ROW]
[ROW][C]85[/C][C]4.5736[/C][C]5.10392236759318[/C][C]-0.530322367593176[/C][/ROW]
[ROW][C]86[/C][C]4.5913[/C][C]4.72620356473447[/C][C]-0.134903564734465[/C][/ROW]
[ROW][C]87[/C][C]4.4711[/C][C]4.87779912787324[/C][C]-0.406699127873241[/C][/ROW]
[ROW][C]88[/C][C]4.4811[/C][C]4.46035636230137[/C][C]0.0207436376986276[/C][/ROW]
[ROW][C]89[/C][C]4.5205[/C][C]4.29530753113567[/C][C]0.225192468864333[/C][/ROW]
[ROW][C]90[/C][C]4.3125[/C][C]4.35380210186997[/C][C]-0.0413021018699684[/C][/ROW]
[ROW][C]91[/C][C]4.3109[/C][C]4.19796453713534[/C][C]0.112935462864659[/C][/ROW]
[ROW][C]92[/C][C]4.1075[/C][C]4.285163272994[/C][C]-0.177663272994002[/C][/ROW]
[ROW][C]93[/C][C]3.77[/C][C]4.09960066695189[/C][C]-0.329600666951894[/C][/ROW]
[ROW][C]94[/C][C]3.3694[/C][C]3.83653537438361[/C][C]-0.467135374383607[/C][/ROW]
[ROW][C]95[/C][C]3.1979[/C][C]3.21268723913223[/C][C]-0.0147872391322306[/C][/ROW]
[ROW][C]96[/C][C]3.2981[/C][C]3.03192114001423[/C][C]0.266178859985768[/C][/ROW]
[ROW][C]97[/C][C]3.4832[/C][C]3.26716878902633[/C][C]0.216031210973674[/C][/ROW]
[ROW][C]98[/C][C]3.5936[/C][C]3.51637318051799[/C][C]0.0772268194820067[/C][/ROW]
[ROW][C]99[/C][C]3.8156[/C][C]3.76145766685063[/C][C]0.0541423331493665[/C][/ROW]
[ROW][C]100[/C][C]3.8602[/C][C]3.79457577988927[/C][C]0.0656242201107315[/C][/ROW]
[ROW][C]101[/C][C]3.9627[/C][C]3.69618282168295[/C][C]0.26651717831705[/C][/ROW]
[ROW][C]102[/C][C]3.8688[/C][C]3.75425818570183[/C][C]0.114541814298171[/C][/ROW]
[ROW][C]103[/C][C]3.6448[/C][C]3.77135548232376[/C][C]-0.126555482323763[/C][/ROW]
[ROW][C]104[/C][C]3.4404[/C][C]3.60646940929915[/C][C]-0.166069409299149[/C][/ROW]
[ROW][C]105[/C][C]3.2364[/C][C]3.40478384128171[/C][C]-0.168383841281714[/C][/ROW]
[ROW][C]106[/C][C]3.1259[/C][C]3.27089303137194[/C][C]-0.144993031371941[/C][/ROW]
[ROW][C]107[/C][C]3.0174[/C][C]3.02933784853709[/C][C]-0.0119378485370887[/C][/ROW]
[ROW][C]108[/C][C]2.8716[/C][C]2.93317259877573[/C][C]-0.0615725987757298[/C][/ROW]
[ROW][C]109[/C][C]2.7045[/C][C]2.89149211745947[/C][C]-0.186992117459466[/C][/ROW]
[ROW][C]110[/C][C]2.5036[/C][C]2.74862589443249[/C][C]-0.245025894432492[/C][/ROW]
[ROW][C]111[/C][C]2.4112[/C][C]2.65711446853611[/C][C]-0.24591446853611[/C][/ROW]
[ROW][C]112[/C][C]2.447[/C][C]2.34936971181167[/C][C]0.0976302881883253[/C][/ROW]
[ROW][C]113[/C][C]2.2521[/C][C]2.22461566018452[/C][C]0.0274843398154809[/C][/ROW]
[ROW][C]114[/C][C]2.0137[/C][C]1.9509868038233[/C][C]0.0627131961766982[/C][/ROW]
[ROW][C]115[/C][C]2.0761[/C][C]1.77885157565405[/C][C]0.29724842434595[/C][/ROW]
[ROW][C]116[/C][C]2.2786[/C][C]1.90073689594928[/C][C]0.377863104050723[/C][/ROW]
[ROW][C]117[/C][C]2.2576[/C][C]2.14519598808375[/C][C]0.112404011916247[/C][/ROW]
[ROW][C]118[/C][C]2.3025[/C][C]2.26239792128329[/C][C]0.0401020787167057[/C][/ROW]
[ROW][C]119[/C][C]2.4103[/C][C]2.22328523658394[/C][C]0.187014763416062[/C][/ROW]
[ROW][C]120[/C][C]2.3808[/C][C]2.33380189883115[/C][C]0.0469981011688487[/C][/ROW]
[ROW][C]121[/C][C]2.2163[/C][C]2.42074743089547[/C][C]-0.204447430895467[/C][/ROW]
[ROW][C]122[/C][C]2.163[/C][C]2.30673300241295[/C][C]-0.143733002412955[/C][/ROW]
[ROW][C]123[/C][C]2.055[/C][C]2.36347241718016[/C][C]-0.308472417180157[/C][/ROW]
[ROW][C]124[/C][C]2.1626[/C][C]2.1075463559395[/C][C]0.055053644060497[/C][/ROW]
[ROW][C]125[/C][C]2.2974[/C][C]1.98803737472238[/C][C]0.309362625277625[/C][/ROW]
[ROW][C]126[/C][C]2.4044[/C][C]2.03904715940291[/C][C]0.365352840597087[/C][/ROW]
[ROW][C]127[/C][C]2.361[/C][C]2.2665529363885[/C][C]0.0944470636114989[/C][/ROW]
[ROW][C]128[/C][C]2.302[/C][C]2.3142451784109[/C][C]-0.012245178410899[/C][/ROW]
[ROW][C]129[/C][C]2.377[/C][C]2.23758159209714[/C][C]0.13941840790286[/C][/ROW]
[ROW][C]130[/C][C]2.3161[/C][C]2.42102496260858[/C][C]-0.104924962608585[/C][/ROW]
[ROW][C]131[/C][C]2.3283[/C][C]2.31888891907059[/C][C]0.0094110809294099[/C][/ROW]
[ROW][C]132[/C][C]2.301[/C][C]2.28040187622415[/C][C]0.0205981237758488[/C][/ROW]
[ROW][C]133[/C][C]2.3121[/C][C]2.32918367840552[/C][C]-0.0170836784055224[/C][/ROW]
[ROW][C]134[/C][C]2.31[/C][C]2.4225987668515[/C][C]-0.112598766851501[/C][/ROW]
[ROW][C]135[/C][C]2.3348[/C][C]2.52348517096752[/C][C]-0.188685170967519[/C][/ROW]
[ROW][C]136[/C][C]2.2651[/C][C]2.47503932793838[/C][C]-0.209939327938379[/C][/ROW]
[ROW][C]137[/C][C]2.1933[/C][C]2.19302759358127[/C][C]0.000272406418730942[/C][/ROW]
[ROW][C]138[/C][C]2.1028[/C][C]1.98609720526278[/C][C]0.116702794737219[/C][/ROW]
[ROW][C]139[/C][C]2.168[/C][C]1.93683136930512[/C][C]0.231168630694882[/C][/ROW]
[ROW][C]140[/C][C]2.2229[/C][C]2.0740976656983[/C][C]0.148802334301696[/C][/ROW]
[ROW][C]141[/C][C]2.2195[/C][C]2.16024812410731[/C][C]0.0592518758926923[/C][/ROW]
[ROW][C]142[/C][C]2.4136[/C][C]2.23541953251718[/C][C]0.178180467482825[/C][/ROW]
[ROW][C]143[/C][C]2.6844[/C][C]2.41427235338312[/C][C]0.270127646616879[/C][/ROW]
[ROW][C]144[/C][C]2.7833[/C][C]2.64728115991263[/C][C]0.136018840087369[/C][/ROW]
[ROW][C]145[/C][C]2.8335[/C][C]2.84703582801628[/C][C]-0.0135358280162814[/C][/ROW]
[ROW][C]146[/C][C]2.9142[/C][C]2.98767882361047[/C][C]-0.0734788236104706[/C][/ROW]
[ROW][C]147[/C][C]3.1053[/C][C]3.17271963512446[/C][C]-0.0674196351244616[/C][/ROW]
[ROW][C]148[/C][C]3.2214[/C][C]3.29805029784324[/C][C]-0.0766502978432375[/C][/ROW]
[ROW][C]149[/C][C]3.3078[/C][C]3.24603555980394[/C][C]0.0617644401960611[/C][/ROW]
[ROW][C]150[/C][C]3.4005[/C][C]3.19992324652284[/C][C]0.200576753477162[/C][/ROW]
[ROW][C]151[/C][C]3.5386[/C][C]3.3382418146745[/C][C]0.200358185325498[/C][/ROW]
[ROW][C]152[/C][C]3.6151[/C][C]3.53365980567505[/C][C]0.0814401943249483[/C][/ROW]
[ROW][C]153[/C][C]3.7153[/C][C]3.63930443127935[/C][C]0.0759955687206473[/C][/ROW]
[ROW][C]154[/C][C]3.7992[/C][C]3.83758993321506[/C][C]-0.0383899332150568[/C][/ROW]
[ROW][C]155[/C][C]3.8637[/C][C]3.91561361072258[/C][C]-0.0519136107225777[/C][/ROW]
[ROW][C]156[/C][C]3.9209[/C][C]3.89461429243681[/C][C]0.0262857075631948[/C][/ROW]
[ROW][C]157[/C][C]4.0644[/C][C]4.00949074225637[/C][C]0.0549092577436268[/C][/ROW]
[ROW][C]158[/C][C]4.0936[/C][C]4.23710347664982[/C][C]-0.143503476649824[/C][/ROW]
[ROW][C]159[/C][C]4.1055[/C][C]4.3935424282709[/C][C]-0.288042428270901[/C][/ROW]
[ROW][C]160[/C][C]4.2527[/C][C]4.33841889061345[/C][C]-0.0857188906134478[/C][/ROW]
[ROW][C]161[/C][C]4.3731[/C][C]4.30743313003467[/C][C]0.0656668699653329[/C][/ROW]
[ROW][C]162[/C][C]4.5055[/C][C]4.29387476818889[/C][C]0.21162523181111[/C][/ROW]
[ROW][C]163[/C][C]4.5638[/C][C]4.45185090290765[/C][C]0.111949097092347[/C][/ROW]
[ROW][C]164[/C][C]4.6663[/C][C]4.55637098349325[/C][C]0.109929016506752[/C][/ROW]
[ROW][C]165[/C][C]4.7245[/C][C]4.69020360637184[/C][C]0.0342963936281615[/C][/ROW]
[ROW][C]166[/C][C]4.6467[/C][C]4.8369744188098[/C][C]-0.190274418809801[/C][/ROW]
[ROW][C]167[/C][C]4.6072[/C][C]4.76943836007104[/C][C]-0.162238360071041[/C][/ROW]
[ROW][C]168[/C][C]4.7929[/C][C]4.64128804290409[/C][C]0.151611957095908[/C][/ROW]
[ROW][C]169[/C][C]4.498[/C][C]4.85532542905905[/C][C]-0.357325429059054[/C][/ROW]
[ROW][C]170[/C][C]4.3489[/C][C]4.65051660130368[/C][C]-0.301616601303683[/C][/ROW]
[ROW][C]171[/C][C]4.5901[/C][C]4.58489000839059[/C][C]0.00520999160941038[/C][/ROW]
[ROW][C]172[/C][C]4.8199[/C][C]4.77160086114055[/C][C]0.048299138859452[/C][/ROW]
[ROW][C]173[/C][C]4.9938[/C][C]4.85145060392767[/C][C]0.142349396072332[/C][/ROW]
[ROW][C]174[/C][C]5.3608[/C][C]4.9060975517951[/C][C]0.454702448204904[/C][/ROW]
[ROW][C]175[/C][C]5.3932[/C][C]5.26213135228579[/C][C]0.131068647714213[/C][/ROW]
[ROW][C]176[/C][C]5.323[/C][C]5.38893641053477[/C][C]-0.0659364105347686[/C][/ROW]
[ROW][C]177[/C][C]5.3839[/C][C]5.35101832813043[/C][C]0.0328816718695686[/C][/ROW]
[ROW][C]178[/C][C]5.2478[/C][C]5.4537148492433[/C][C]-0.205914849243301[/C][/ROW]
[ROW][C]179[/C][C]4.3504[/C][C]5.36489063348876[/C][C]-1.01449063348876[/C][/ROW]
[ROW][C]180[/C][C]3.452[/C][C]4.46049334845474[/C][C]-1.00849334845474[/C][/ROW]
[ROW][C]181[/C][C]2.6216[/C][C]3.40695270792958[/C][C]-0.785352707929584[/C][/ROW]
[ROW][C]182[/C][C]2.1354[/C][C]2.60220183612205[/C][C]-0.466801836122047[/C][/ROW]
[ROW][C]183[/C][C]1.9089[/C][C]2.18223394262425[/C][C]-0.27333394262425[/C][/ROW]
[ROW][C]184[/C][C]1.771[/C][C]1.85333444359342[/C][C]-0.0823344435934239[/C][/ROW]
[ROW][C]185[/C][C]1.6444[/C][C]1.5392038779385[/C][C]0.105196122061498[/C][/ROW]
[ROW][C]186[/C][C]1.6105[/C][C]1.30785591530308[/C][C]0.302644084696923[/C][/ROW]
[ROW][C]187[/C][C]1.412[/C][C]1.173521533527[/C][C]0.238478466473004[/C][/ROW]
[ROW][C]188[/C][C]1.3343[/C][C]1.06037912133615[/C][C]0.273920878663853[/C][/ROW]
[ROW][C]189[/C][C]1.261[/C][C]1.05609524942926[/C][C]0.204904750570741[/C][/ROW]
[ROW][C]190[/C][C]1.2426[/C][C]1.01629907170607[/C][C]0.226300928293926[/C][/ROW]
[ROW][C]191[/C][C]1.2306[/C][C]0.966159568996119[/C][C]0.264440431003881[/C][/ROW]
[ROW][C]192[/C][C]1.2424[/C][C]1.06292368272806[/C][C]0.179476317271939[/C][/ROW]
[ROW][C]193[/C][C]1.2322[/C][C]1.07585392157895[/C][C]0.15634607842105[/C][/ROW]
[ROW][C]194[/C][C]1.2252[/C][C]1.22923284920104[/C][C]-0.00403284920104419[/C][/ROW]
[ROW][C]195[/C][C]1.2151[/C][C]1.38306345039339[/C][C]-0.167963450393393[/C][/ROW]
[ROW][C]196[/C][C]1.2252[/C][C]1.3316735872826[/C][C]-0.106473587282599[/C][/ROW]
[ROW][C]197[/C][C]1.2493[/C][C]1.18144894536694[/C][C]0.0678510546330615[/C][/ROW]
[ROW][C]198[/C][C]1.2813[/C][C]1.10062034550394[/C][C]0.180679654496062[/C][/ROW]
[ROW][C]199[/C][C]1.3734[/C][C]0.995177186865172[/C][C]0.378222813134828[/C][/ROW]
[ROW][C]200[/C][C]1.421[/C][C]1.16241099727063[/C][C]0.25858900272937[/C][/ROW]
[ROW][C]201[/C][C]1.4205[/C][C]1.2892841892998[/C][C]0.131215810700204[/C][/ROW]
[ROW][C]202[/C][C]1.4954[/C][C]1.33680743920235[/C][C]0.158592560797653[/C][/ROW]
[ROW][C]203[/C][C]1.5405[/C][C]1.37514621582269[/C][C]0.165353784177306[/C][/ROW]
[ROW][C]204[/C][C]1.5261[/C][C]1.50645323773589[/C][C]0.0196467622641059[/C][/ROW]
[ROW][C]205[/C][C]1.55[/C][C]1.49581606876088[/C][C]0.0541839312391199[/C][/ROW]
[ROW][C]206[/C][C]1.714[/C][C]1.64556558217433[/C][C]0.0684344178256662[/C][/ROW]
[ROW][C]207[/C][C]1.9241[/C][C]1.9515198121719[/C][C]-0.0274198121719016[/C][/ROW]
[ROW][C]208[/C][C]2.0856[/C][C]2.15625369145624[/C][C]-0.070653691456243[/C][/ROW]
[ROW][C]209[/C][C]2.1471[/C][C]2.19217870619332[/C][C]-0.0450787061933156[/C][/ROW]
[ROW][C]210[/C][C]2.1441[/C][C]2.15070327090166[/C][C]-0.00660327090165902[/C][/ROW]
[ROW][C]211[/C][C]2.1827[/C][C]2.0155712198431[/C][C]0.167128780156896[/C][/ROW]
[ROW][C]212[/C][C]2.0969[/C][C]2.0671218665784[/C][C]0.0297781334216052[/C][/ROW]
[ROW][C]213[/C][C]2.0669[/C][C]2.04049406757922[/C][C]0.0264059324207824[/C][/ROW]
[ROW][C]214[/C][C]2.1101[/C][C]2.05308543290902[/C][C]0.0570145670909818[/C][/ROW]
[ROW][C]215[/C][C]2.0439[/C][C]2.04672235191177[/C][C]-0.0028223519117665[/C][/ROW]
[ROW][C]216[/C][C]2.0035[/C][C]2.03851275195475[/C][C]-0.0350127519547527[/C][/ROW]
[ROW][C]217[/C][C]1.8366[/C][C]2.006353852618[/C][C]-0.169753852618003[/C][/ROW]
[ROW][C]218[/C][C]1.6783[/C][C]1.96571058453873[/C][C]-0.287410584538734[/C][/ROW]
[ROW][C]219[/C][C]1.4985[/C][C]1.91901045198589[/C][C]-0.420510451985892[/C][/ROW]
[ROW][C]220[/C][C]1.3678[/C][C]1.70980023540159[/C][C]-0.342000235401587[/C][/ROW]
[ROW][C]221[/C][C]1.266[/C][C]1.42034634834627[/C][C]-0.154346348346265[/C][/ROW]
[ROW][C]222[/C][C]1.219[/C][C]1.18376915646383[/C][C]0.0352308435361706[/C][/ROW]
[ROW][C]223[/C][C]1.0608[/C][C]1.00629003983333[/C][C]0.0545099601666663[/C][/ROW]
[ROW][C]224[/C][C]0.8766[/C][C]0.827848780406286[/C][C]0.0487512195937143[/C][/ROW]
[ROW][C]225[/C][C]0.7398[/C][C]0.704951287823485[/C][C]0.0348487121765153[/C][/ROW]
[ROW][C]226[/C][C]0.6501[/C][C]0.617957114343733[/C][C]0.0321428856562666[/C][/ROW]
[ROW][C]227[/C][C]0.5879[/C][C]0.468112847754915[/C][C]0.119787152245085[/C][/ROW]
[ROW][C]228[/C][C]0.5493[/C][C]0.458162286219417[/C][C]0.0911377137805829[/C][/ROW]
[ROW][C]229[/C][C]0.5753[/C][C]0.424377867067568[/C][C]0.150922132932432[/C][/ROW]
[ROW][C]230[/C][C]0.5942[/C][C]0.581231038019844[/C][C]0.0129689619801555[/C][/ROW]
[ROW][C]231[/C][C]0.545[/C][C]0.740708274029255[/C][C]-0.195708274029255[/C][/ROW]
[ROW][C]232[/C][C]0.5284[/C][C]0.724680602940615[/C][C]-0.196280602940615[/C][/ROW]
[ROW][C]233[/C][C]0.4838[/C][C]0.590191727974916[/C][C]-0.106391727974916[/C][/ROW]
[ROW][C]234[/C][C]0.5071[/C][C]0.429706585265023[/C][C]0.0773934147349773[/C][/ROW]
[ROW][C]235[/C][C]0.5254[/C][C]0.302770547632152[/C][C]0.222629452367848[/C][/ROW]
[ROW][C]236[/C][C]0.5423[/C][C]0.294878485578385[/C][C]0.247421514421615[/C][/ROW]
[ROW][C]237[/C][C]0.5434[/C][C]0.38620282719568[/C][C]0.15719717280432[/C][/ROW]
[ROW][C]238[/C][C]0.541[/C][C]0.461248853326408[/C][C]0.0797511466735922[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227544&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227544&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
137.667.167713675213680.492286324786323
147.57.498990780072750.00100921992724512
158.028.13619075547396-0.116190755473964
167.637.76423931305621-0.134239313056208
177.257.37587191306055-0.125871913060545
187.247.38448234089417-0.144482340894171
197.167.106898376684410.0531016233155865
206.837.39423387800178-0.564233878001783
216.597.01390340603507-0.423903406035074
226.766.470008298785130.289991701214866
236.436.4839288383214-0.0539288383214034
246.216.65137101379121-0.441371013791211
255.696.37211729390046-0.682117293900463
265.565.407019930368220.152980069631779
275.555.95118016473378-0.401180164733785
285.325.099721419928170.220278580071833
295.074.816304180908660.253695819091336
305.194.983142945725330.206857054274672
315.184.903885811348460.276114188651542
325.165.18319090599506-0.0231909059950599
334.965.22720052845499-0.267200528454993
344.674.87621209478124-0.206212094781239
354.544.325022130197970.21497786980203
364.394.60115304372994-0.211153043729944
374.254.44030908493495-0.190309084934948
384.324.018946570534270.301053429465729
394.554.62625462356391-0.0762546235639148
404.474.189432222052040.280567777947955
414.364.015047083695190.344952916304813
424.334.314435302911480.0155646970885206
434.324.124665173939830.195334826060168
444.494.327270650321120.162729349678882
454.424.54829260816298-0.128292608162975
464.554.391149888372520.158850111627483
474.564.313659580908860.246340419091141
484.414.65866535713638-0.248665357136375
494.224.56868901353871-0.348689013538711
504.174.167710095434310.00228990456568567
514.054.52185491198343-0.471854911983433
524.123.817638280633470.302361719366529
534.133.692928589492940.437071410507059
544.084.054053721041890.0259462789581093
554.013.930483406764430.0795165932355717
563.934.04975708777627-0.119757087776266
573.753.98095359345763-0.230953593457631
583.593.76159738595887-0.171597385958875
593.553.367056790265470.182943209734533
603.273.53356768514185-0.263567685141852
613.06173.36216094743528-0.30046094743528
623.02973.003363447882830.0263365521171721
633.04623.262255222487-0.216055222487005
642.75642.86524072892591-0.108840728925909
652.68272.34598642213820.336713577861798
662.83632.49040846629150.345891533708504
673.032.606959977237820.423040022762176
683.23732.982405286319790.254894713680208
693.30113.244384597318880.0567154026811192
703.68373.333052565425430.35064743457457
713.68923.539016850207140.150183149792858
723.82633.712457412724870.113842587275135
733.94953.99359994360842-0.0440999436084208
744.11144.060348135142130.0510518648578682
754.26754.46678399561355-0.19928399561355
764.36454.262516410824330.101983589175669
774.84854.170718777902210.677781222097794
784.96494.823227217830480.141672782169521
795.1054.971801442991990.133198557008015
805.24845.243332665880350.00506733411965499
815.21925.40779074506626-0.188590745066263
825.21845.45068907381148-0.232289073811482
835.19335.19576662701978-0.00246662701977574
844.88095.28584926358381-0.40494926358381
854.57365.10392236759318-0.530322367593176
864.59134.72620356473447-0.134903564734465
874.47114.87779912787324-0.406699127873241
884.48114.460356362301370.0207436376986276
894.52054.295307531135670.225192468864333
904.31254.35380210186997-0.0413021018699684
914.31094.197964537135340.112935462864659
924.10754.285163272994-0.177663272994002
933.774.09960066695189-0.329600666951894
943.36943.83653537438361-0.467135374383607
953.19793.21268723913223-0.0147872391322306
963.29813.031921140014230.266178859985768
973.48323.267168789026330.216031210973674
983.59363.516373180517990.0772268194820067
993.81563.761457666850630.0541423331493665
1003.86023.794575779889270.0656242201107315
1013.96273.696182821682950.26651717831705
1023.86883.754258185701830.114541814298171
1033.64483.77135548232376-0.126555482323763
1043.44043.60646940929915-0.166069409299149
1053.23643.40478384128171-0.168383841281714
1063.12593.27089303137194-0.144993031371941
1073.01743.02933784853709-0.0119378485370887
1082.87162.93317259877573-0.0615725987757298
1092.70452.89149211745947-0.186992117459466
1102.50362.74862589443249-0.245025894432492
1112.41122.65711446853611-0.24591446853611
1122.4472.349369711811670.0976302881883253
1132.25212.224615660184520.0274843398154809
1142.01371.95098680382330.0627131961766982
1152.07611.778851575654050.29724842434595
1162.27861.900736895949280.377863104050723
1172.25762.145195988083750.112404011916247
1182.30252.262397921283290.0401020787167057
1192.41032.223285236583940.187014763416062
1202.38082.333801898831150.0469981011688487
1212.21632.42074743089547-0.204447430895467
1222.1632.30673300241295-0.143733002412955
1232.0552.36347241718016-0.308472417180157
1242.16262.10754635593950.055053644060497
1252.29741.988037374722380.309362625277625
1262.40442.039047159402910.365352840597087
1272.3612.26655293638850.0944470636114989
1282.3022.3142451784109-0.012245178410899
1292.3772.237581592097140.13941840790286
1302.31612.42102496260858-0.104924962608585
1312.32832.318888919070590.0094110809294099
1322.3012.280401876224150.0205981237758488
1332.31212.32918367840552-0.0170836784055224
1342.312.4225987668515-0.112598766851501
1352.33482.52348517096752-0.188685170967519
1362.26512.47503932793838-0.209939327938379
1372.19332.193027593581270.000272406418730942
1382.10281.986097205262780.116702794737219
1392.1681.936831369305120.231168630694882
1402.22292.07409766569830.148802334301696
1412.21952.160248124107310.0592518758926923
1422.41362.235419532517180.178180467482825
1432.68442.414272353383120.270127646616879
1442.78332.647281159912630.136018840087369
1452.83352.84703582801628-0.0135358280162814
1462.91422.98767882361047-0.0734788236104706
1473.10533.17271963512446-0.0674196351244616
1483.22143.29805029784324-0.0766502978432375
1493.30783.246035559803940.0617644401960611
1503.40053.199923246522840.200576753477162
1513.53863.33824181467450.200358185325498
1523.61513.533659805675050.0814401943249483
1533.71533.639304431279350.0759955687206473
1543.79923.83758993321506-0.0383899332150568
1553.86373.91561361072258-0.0519136107225777
1563.92093.894614292436810.0262857075631948
1574.06444.009490742256370.0549092577436268
1584.09364.23710347664982-0.143503476649824
1594.10554.3935424282709-0.288042428270901
1604.25274.33841889061345-0.0857188906134478
1614.37314.307433130034670.0656668699653329
1624.50554.293874768188890.21162523181111
1634.56384.451850902907650.111949097092347
1644.66634.556370983493250.109929016506752
1654.72454.690203606371840.0342963936281615
1664.64674.8369744188098-0.190274418809801
1674.60724.76943836007104-0.162238360071041
1684.79294.641288042904090.151611957095908
1694.4984.85532542905905-0.357325429059054
1704.34894.65051660130368-0.301616601303683
1714.59014.584890008390590.00520999160941038
1724.81994.771600861140550.048299138859452
1734.99384.851450603927670.142349396072332
1745.36084.90609755179510.454702448204904
1755.39325.262131352285790.131068647714213
1765.3235.38893641053477-0.0659364105347686
1775.38395.351018328130430.0328816718695686
1785.24785.4537148492433-0.205914849243301
1794.35045.36489063348876-1.01449063348876
1803.4524.46049334845474-1.00849334845474
1812.62163.40695270792958-0.785352707929584
1822.13542.60220183612205-0.466801836122047
1831.90892.18223394262425-0.27333394262425
1841.7711.85333444359342-0.0823344435934239
1851.64441.53920387793850.105196122061498
1861.61051.307855915303080.302644084696923
1871.4121.1735215335270.238478466473004
1881.33431.060379121336150.273920878663853
1891.2611.056095249429260.204904750570741
1901.24261.016299071706070.226300928293926
1911.23060.9661595689961190.264440431003881
1921.24241.062923682728060.179476317271939
1931.23221.075853921578950.15634607842105
1941.22521.22923284920104-0.00403284920104419
1951.21511.38306345039339-0.167963450393393
1961.22521.3316735872826-0.106473587282599
1971.24931.181448945366940.0678510546330615
1981.28131.100620345503940.180679654496062
1991.37340.9951771868651720.378222813134828
2001.4211.162410997270630.25858900272937
2011.42051.28928418929980.131215810700204
2021.49541.336807439202350.158592560797653
2031.54051.375146215822690.165353784177306
2041.52611.506453237735890.0196467622641059
2051.551.495816068760880.0541839312391199
2061.7141.645565582174330.0684344178256662
2071.92411.9515198121719-0.0274198121719016
2082.08562.15625369145624-0.070653691456243
2092.14712.19217870619332-0.0450787061933156
2102.14412.15070327090166-0.00660327090165902
2112.18272.01557121984310.167128780156896
2122.09692.06712186657840.0297781334216052
2132.06692.040494067579220.0264059324207824
2142.11012.053085432909020.0570145670909818
2152.04392.04672235191177-0.0028223519117665
2162.00352.03851275195475-0.0350127519547527
2171.83662.006353852618-0.169753852618003
2181.67831.96571058453873-0.287410584538734
2191.49851.91901045198589-0.420510451985892
2201.36781.70980023540159-0.342000235401587
2211.2661.42034634834627-0.154346348346265
2221.2191.183769156463830.0352308435361706
2231.06081.006290039833330.0545099601666663
2240.87660.8278487804062860.0487512195937143
2250.73980.7049512878234850.0348487121765153
2260.65010.6179571143437330.0321428856562666
2270.58790.4681128477549150.119787152245085
2280.54930.4581622862194170.0911377137805829
2290.57530.4243778670675680.150922132932432
2300.59420.5812310380198440.0129689619801555
2310.5450.740708274029255-0.195708274029255
2320.52840.724680602940615-0.196280602940615
2330.48380.590191727974916-0.106391727974916
2340.50710.4297065852650230.0773934147349773
2350.52540.3027705476321520.222629452367848
2360.54230.2948784855783850.247421514421615
2370.54340.386202827195680.15719717280432
2380.5410.4612488533264080.0797511466735922







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
2390.42699670029277-0.04420772455698520.898201125142525
2400.361336408875943-0.2885729405662541.01124575831814
2410.300534567651379-0.5145780344780861.11564716978084
2420.336481811654638-0.6392477442541631.31221136756344
2430.481688709356533-0.6537567451527821.61713416386585
2440.678409149959383-0.6177037221039411.97452202202271
2450.788682672365146-0.6700839773987682.24744932212906
2460.819593260500425-0.8044284282321452.443614949233
2470.713928904871369-1.078327460569032.50618527031177
2480.564690060530049-1.39901684777612.5283969688362
2490.453570869603889-1.684949098406492.59209083761427
2500.390429601831838-1.926354107605332.707213311269

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
239 & 0.42699670029277 & -0.0442077245569852 & 0.898201125142525 \tabularnewline
240 & 0.361336408875943 & -0.288572940566254 & 1.01124575831814 \tabularnewline
241 & 0.300534567651379 & -0.514578034478086 & 1.11564716978084 \tabularnewline
242 & 0.336481811654638 & -0.639247744254163 & 1.31221136756344 \tabularnewline
243 & 0.481688709356533 & -0.653756745152782 & 1.61713416386585 \tabularnewline
244 & 0.678409149959383 & -0.617703722103941 & 1.97452202202271 \tabularnewline
245 & 0.788682672365146 & -0.670083977398768 & 2.24744932212906 \tabularnewline
246 & 0.819593260500425 & -0.804428428232145 & 2.443614949233 \tabularnewline
247 & 0.713928904871369 & -1.07832746056903 & 2.50618527031177 \tabularnewline
248 & 0.564690060530049 & -1.3990168477761 & 2.5283969688362 \tabularnewline
249 & 0.453570869603889 & -1.68494909840649 & 2.59209083761427 \tabularnewline
250 & 0.390429601831838 & -1.92635410760533 & 2.707213311269 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227544&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]239[/C][C]0.42699670029277[/C][C]-0.0442077245569852[/C][C]0.898201125142525[/C][/ROW]
[ROW][C]240[/C][C]0.361336408875943[/C][C]-0.288572940566254[/C][C]1.01124575831814[/C][/ROW]
[ROW][C]241[/C][C]0.300534567651379[/C][C]-0.514578034478086[/C][C]1.11564716978084[/C][/ROW]
[ROW][C]242[/C][C]0.336481811654638[/C][C]-0.639247744254163[/C][C]1.31221136756344[/C][/ROW]
[ROW][C]243[/C][C]0.481688709356533[/C][C]-0.653756745152782[/C][C]1.61713416386585[/C][/ROW]
[ROW][C]244[/C][C]0.678409149959383[/C][C]-0.617703722103941[/C][C]1.97452202202271[/C][/ROW]
[ROW][C]245[/C][C]0.788682672365146[/C][C]-0.670083977398768[/C][C]2.24744932212906[/C][/ROW]
[ROW][C]246[/C][C]0.819593260500425[/C][C]-0.804428428232145[/C][C]2.443614949233[/C][/ROW]
[ROW][C]247[/C][C]0.713928904871369[/C][C]-1.07832746056903[/C][C]2.50618527031177[/C][/ROW]
[ROW][C]248[/C][C]0.564690060530049[/C][C]-1.3990168477761[/C][C]2.5283969688362[/C][/ROW]
[ROW][C]249[/C][C]0.453570869603889[/C][C]-1.68494909840649[/C][C]2.59209083761427[/C][/ROW]
[ROW][C]250[/C][C]0.390429601831838[/C][C]-1.92635410760533[/C][C]2.707213311269[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227544&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227544&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
2390.42699670029277-0.04420772455698520.898201125142525
2400.361336408875943-0.2885729405662541.01124575831814
2410.300534567651379-0.5145780344780861.11564716978084
2420.336481811654638-0.6392477442541631.31221136756344
2430.481688709356533-0.6537567451527821.61713416386585
2440.678409149959383-0.6177037221039411.97452202202271
2450.788682672365146-0.6700839773987682.24744932212906
2460.819593260500425-0.8044284282321452.443614949233
2470.713928904871369-1.078327460569032.50618527031177
2480.564690060530049-1.39901684777612.5283969688362
2490.453570869603889-1.684949098406492.59209083761427
2500.390429601831838-1.926354107605332.707213311269



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