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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 24 Jan 2018 10:49:09 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Jan/24/t15167873587omwpshkc2tx4zx.htm/, Retrieved Sun, 05 May 2024 21:42:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=312467, Retrieved Sun, 05 May 2024 21:42:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact53
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-01-24 09:49:09] [fdca48e9cd692567d9d588088e91201d] [Current]
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Dataseries X:
1.72923686058208
0.122433126801145
0.523768788982079
-0.50175942601324
-1.86386120887019
0.0717422351702872
-0.380578531491989
-0.29851611788274
1.94316215667028
-1.24779901378139
1.35257277275093
2.84406850014719
1.12274878943606
-2.32540657982629
-2.89902363942181
0.246874012745119
-0.731094375584061
1.97769407549524
-0.089308186457892
-1.64931358279907
1.78988776616251
-0.655026882699021
-0.95518008982139
-0.501427837065876
-1.47468882156665
2.4255103110643
-0.388732570521789
-1.41970373897772
-0.435743764210552
0.588337253253952
-1.73087780677345
0.416192838768035
-0.135602934239543
1.5607508968729
-0.619488852927662
0.130061173484127
-0.485714783249833
1.19042117073251
0.504940688912012
-0.266725732456376
1.8987616014054
0.9835731579105
0.221023228988728
-0.176860990484583
-0.162198287814433
0.78911590880292
1.41209201053576
0.518161844628975
2.36462043434148
-1.24446105804486
1.09138861156198
0.422175612267996
-0.997989397904933
0.754650745534752
-1.44375392644115
0.568632265545353
1.35413305240232
-1.34288885715882
-0.0968579661829751
0.242767533935212
0.255744783559028
-0.243232899636027
0.461607264600104
0.0650797112167817
2.25999343044582
1.80462197944889
2.32548979115297
0.682758803307819
-0.335554613197298
-0.997929583796738
0.97507128242145
-1.17268516900173
-0.000337278483281606
-1.71460596672184
-1.34872342854985
-1.6521456119588
-1.48335049731373
0.925016701443022
-0.226525557050897
0.774905929042345
-0.339789522342372
0.89311055438168
-0.864578780222597
-1.95217915873499
-0.11317194501752
1.02470860347022
-1.25650654087286
-0.602130638597027
-0.83233134657693
-0.446577198612737
-4.01053303468812
0.288513333839785
-1.00798474916531
-0.572816189634855
-0.297410570159231
1.21578539483534
-0.727486991378146
-0.843943364912431
-1.20889338911855
-0.649656515850742
3.19984732249364
0.572738529480399
-0.0199646221520179
0.462316869083462
-1.28699501625665
-1.80757939159691
-2.15431670426712
0.707840316820782
1.36410372036211
0.314718394752158
-4.1002515835693
1.26992188862053
1.80144339707427
-0.42970220964945
0.529993653035631
1.18764422512472
-0.398233352310507
-0.421884162222733
-2.6898323919027
1.0140628812162
-0.542058945797581
-0.368690243263354
1.31411524584048
-0.428705333764204
-0.663582558495647
1.37204511801761
-1.27310996987184
0.810157913937622
1.5741305304336
-1.025150115941
-0.998930862337702
-0.0536208441845616
1.66337771592794
-0.178008462116163
-1.09164775518912
1.96797905166753
0.634220496887586
1.38764487483822
0.75570654001001
-2.3214750727902
1.62023993830839
0.423224828517651
-1.7051130142733
0.541981863740972
-0.593027838089475
0.213567450337977
-0.696840242545287
0.0777251570183703
-0.725328497765991
2.1315776363419
-0.33645518676905
-0.979182554450992
-0.242246084610725
-1.82980075345691
-1.14814874978528
0.496126806273696
-0.37803015357093
0.564631359789787
0.268965939275992
0.752661368724124
-2.30203173253409
2.82635859577673
-0.607627712639158
3.77405193258893
1.08426693162876
-2.2508985634727
0.290663952981133
-1.1346060583543
1.41583984485642
0.590041695581542
1.22056539827692
0.0970995178245223
-0.906020145960084
-0.597681226735446
0.437155726246844
0.742487563055592
1.22917286536281
-0.95259160353182
-0.75528682870179




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312467&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=312467&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312467&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0903364186836296
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0903364186836296 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312467&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]0.0903364186836296[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=312467&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312467&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
alpha0.0903364186836296
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
20.1224331268011451.72923686058208-1.60680373378094
30.5237687889820791.58408396574483-1.06031517676275
4-0.501759426013241.48829889000018-1.99005831601342
5-1.863861208870191.30852414875995-3.17238535763014
60.07174223517028721.02194221686726-0.950199981696974
7-0.3805785314919890.936104553487506-1.31668308497949
8-0.298516117882740.817160119049145-1.11567623693189
91.943162156670280.716373923394291.22678823327599
10-1.247799013781390.82719757887166-2.07499659265305
111.352572772750930.639749817910650.71282295484028
122.844068500147190.7041436908064032.13992480934079
131.122748789436060.8974568343344990.225291955101561
14-2.325406579826290.917808902716607-3.2432154825429
15-2.899023639421810.624828431004382-3.52385207042619
160.2468740127451190.306496254991187-0.0596222422460677
17-0.7310943755840610.301110195152789-1.03220457073685
181.977694075495240.2078645308835491.76982954461169
19-0.0893081864578920.367744593624248-0.45705278008214
20-1.649313582799070.326456082322231-1.9757696651213
211.789887766162510.1479721266314191.64191563953109
22-0.6550268826990210.296296905287299-0.95132378798632
23-0.955180089821390.21035772127207-1.16553781109346
24-0.5014278370658760.10506720957753-0.606495046643406
25-1.474688821566650.050278619114404-1.52496744068105
262.4255103110643-0.08748147808586272.51299178915016
27-0.3887325705217890.13953320032733-0.528265770849119
28-1.419703738977720.0918115624756735-1.51151530145339
29-0.435743764210552-0.0447333166431328-0.391010447567419
300.588337253253952-0.08005580014425660.668393053398209
31-1.73087780677345-0.0196755654272465-1.7112022413462
320.416192838768035-0.1742594475538620.590452286321897
33-0.135602934239543-0.120920102603981-0.0146828316355618
341.5607508968729-0.1222464970300731.68299739390297
35-0.6194888529276620.0297894601890038-0.649278313116666
360.130061173484127-0.02886401734690410.158925190831031
37-0.485714783249833-0.0145072847686163-0.471207498481217
381.19042117073251-0.05707448263828121.24749565337079
390.5049406889120120.05561980701063060.449320881901381
40-0.2667257324563760.0962098463213714-0.362935578777747
411.89876160140540.06342354592171941.83533805548368
420.98357315791050.2292214129278920.754351744982608
430.2210232289887280.297366847997367-0.0763436190086392
44-0.1768609904845830.290470238866779-0.467331229351362
45-0.1621982878144330.248253209268159-0.410451497082592
460.789115908802920.2111744909783840.577941417824536
471.412092010535760.2633836488735921.14870836166217
480.5181618446289750.3671538483780910.151007996250884
492.364620434341480.3807953699519871.98382506438949
50-1.244461058044860.560007021563755-1.80446807960861
511.091388611561980.3969978376229860.694390773938994
520.4221756122679960.459726613307589-0.0375510010395926
53-0.9979893979049330.456334390355687-1.45432378826062
540.7546507455347520.3249559877178130.429694757816939
55-1.443753926441150.363773073266125-1.80752699970727
560.5686322655453530.2004875574386040.368144708106749
571.354133052402320.2337444319262981.12038862047602
58-1.342888857158820.334956327433994-1.67784518459281
59-0.09685796618297510.183385802352306-0.280243768535281
600.2427675339352120.1580695839444240.0846979499907877
610.2557447835590280.1657208934164370.0900238901425908
62-0.2432328996360270.173853329247887-0.417086228883914
630.4616072646001040.1361752530482540.32543201155185
640.06507971121678170.165573615496858-0.100493904280076
652.259993430445820.156495356084662.10349807436116
661.804621979448890.3465178388303581.45810414061853
672.325489791152970.4782377449616081.84725204619136
680.6827588033078190.6451118792205420.0376469240872768
69-0.3355546131972980.648512767517041-0.984067380714339
70-0.9979295837967380.559615644599928-1.55754522839667
710.975071282421450.4189125867287970.556158695692653
72-1.172685169001730.46915397151743-1.64183914051916
73-0.0003372784832816060.320836103508321-0.321173381991603
74-1.714605966721840.29182245040269-2.00642841712453
75-1.348723428549850.110568892854597-1.45929232140445
76-1.6521456119588-0.0212583492736012-1.6308872626852
77-1.48335049731373-0.16858686386133-1.3147636334524
780.925016701443022-0.2873579019228961.21237460336592
79-0.226525557050897-0.177836322151833-0.0486892348990639
800.774905929042345-0.182234733261060.957140662303406
81-0.339789522342372-0.0957700736520936-0.244019448690278
820.89311055438168-0.1178139167359271.01092447111761
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861.02470860347022-0.255215007852951.27992361132317
87-1.25650654087286-0.139591292617397-1.11691524825546
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89-0.83233134657693-0.273158789005064-0.559172557571866
90-0.446577198612737-0.323672435282272-0.122904763330465
91-4.01053303468812-0.334775211440705-3.67575782324741
920.288513333839785-0.666830009141210.955343342980995
93-1.00798474916531-0.580527712923061-0.427457036242249
94-0.572816189634855-0.6191426507183040.0463264610834492
95-0.297410570159231-0.6149576841337390.317547113974508
961.21578539483534-0.586271615093961.8020570099293
97-0.727486991378146-0.423480238553217-0.304006752824929
98-0.843943364912431-0.45094311985906-0.393000245053371
99-1.20889338911855-0.486445354538971-0.722448034579579
100-0.649656515850742-0.551708722667917-0.0979477931828252
1013.19984732249364-0.5605569755220183.76040429801566
1020.572738529480399-0.2208555184367560.793594047917155
103-0.0199646221520179-0.1491650742592750.129200452107257
1040.462316869083462-0.13749356812360.599810437207062
105-1.28699501625665-0.0833088413372517-1.2036861749194
106-1.80757939159691-0.192045539598467-1.61553385199844
107-2.15431670426712-0.337987082050175-1.81632962221694
1080.707840316820782-0.5020677952702441.20990811209103
1091.36410372036211-0.3927690294876691.75687274984978
1100.314718394752158-0.234059437183380.548777831935538
111-4.1002515835693-0.184484813193357-3.91576677037594
1121.26992188862053-0.5382211596294821.80814304825001
1131.80144339707427-0.3748799921828752.17632338925714
114-0.42970220964945-0.178278731299966-0.251423478349484
1150.529993653035631-0.2009914279070390.73098508094267
1161.18764422512472-0.1349568535835151.32260107870824
117-0.398233352310507-0.015477808785908-0.382755543524599
118-0.421884162222733-0.0500545738192263-0.371829588403507
119-2.6898323919027-0.0836443271962072-2.60618806470649
1201.0140628812162-0.3190780233778111.33314090459401
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127-1.27310996987184-0.0391346960942836-1.23397527377756
1280.810157913937622-0.1506076030714990.960765517009121
1291.5741305304336-0.06381548707016951.63794601750377
130-1.0251501159410.0841506901482346-1.10930080608923
131-0.998930862337702-0.0160595719167302-0.982871290420972
132-0.0536208441845616-0.1048486443203180.0512278001357568
1331.66337771592794-0.1002209083190131.76359862424695
134-0.1780084621161630.0590962753908325-0.237104737506996
135-1.091647755189120.0376770825515285-1.12932483774065
1361.96797905166753-0.06434207882043282.03232113048796
1370.6342204968875860.1192505337229150.514969963164671
1381.387644874838220.1657710759248521.22187379891337
1390.755706540010010.2761507790020470.479555761007963
140-2.32147507279020.319472129010609-2.64094720180081
1411.620239938308390.08089841686737141.53934152144102
1420.4232248285176510.2199570170453630.203267811472288
143-1.70511301427330.238319503167428-1.94343251744073
1440.5419818637409720.06275676958852250.47922509415245
145-0.5930278380894750.10604824833758-0.699076086427055
1460.2135674503379770.04289621830239230.170671232035585
147-0.6968402425452870.0583140461768098-0.755154288722097
1480.0777251570183703-0.009903887819928030.0876290448382983
149-0.725328497765991-0.00198779373656896-0.723340704029422
1502.1315776363419-0.06733180242668222.19890943876858
151-0.336455186769050.131309801281301-0.467764988050351
152-0.9791825544509920.0890535874752418-1.06823614192623
153-0.242246084610725-0.00744703989479158-0.234799044715933
154-1.82980075345691-0.0286579447047664-1.80114280875214
155-1.14814874978528-0.191366735585209-0.956782014200071
1560.496126806273696-0.2777989962089530.773925802482649
157-0.37803015357093-0.207885310885816-0.170144842685114
1580.564631359789787-0.2232555866314790.787886946421266
1590.268965939275992-0.1520807015642010.421046640840193
1600.752661368724124-0.1140448559319260.86670622465605
161-2.30203173253409-0.0357497195456888-2.2662820129884
1622.82635859577673-0.2404775203261883.06683611610292
163-0.6076277126391580.0365694710921617-0.64419718373132
1643.77405193258893-0.02162499541220583.79567692800114
1651.084266931628760.3212628647434980.763004066885262
166-2.25089856347270.390189919586957-2.64108848305966
1670.2906639529811330.1516034446007680.139060508380365
168-1.13460605835430.164165672908175-1.29877173126247
1691.415839844856420.04683928601838531.36900055883803
1700.5900416955815420.1705098936797010.419531801901841
1711.220565398276920.2084088941874031.01215650408952
1720.09709951782452230.299843487914193-0.20274397008967
173-0.9060201459600840.281528323746591-1.18754846970667
174-0.5976812267354460.174249447980065-0.771930674715511
1750.4371557262468440.1045159953542280.332639730892616
1760.7424875630555920.1345654773549530.607922085700639
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178-0.952591603531820.2834048420732-1.23599644560502
179-0.755286828701790.171749349671547-0.927036178373337

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 0.122433126801145 & 1.72923686058208 & -1.60680373378094 \tabularnewline
3 & 0.523768788982079 & 1.58408396574483 & -1.06031517676275 \tabularnewline
4 & -0.50175942601324 & 1.48829889000018 & -1.99005831601342 \tabularnewline
5 & -1.86386120887019 & 1.30852414875995 & -3.17238535763014 \tabularnewline
6 & 0.0717422351702872 & 1.02194221686726 & -0.950199981696974 \tabularnewline
7 & -0.380578531491989 & 0.936104553487506 & -1.31668308497949 \tabularnewline
8 & -0.29851611788274 & 0.817160119049145 & -1.11567623693189 \tabularnewline
9 & 1.94316215667028 & 0.71637392339429 & 1.22678823327599 \tabularnewline
10 & -1.24779901378139 & 0.82719757887166 & -2.07499659265305 \tabularnewline
11 & 1.35257277275093 & 0.63974981791065 & 0.71282295484028 \tabularnewline
12 & 2.84406850014719 & 0.704143690806403 & 2.13992480934079 \tabularnewline
13 & 1.12274878943606 & 0.897456834334499 & 0.225291955101561 \tabularnewline
14 & -2.32540657982629 & 0.917808902716607 & -3.2432154825429 \tabularnewline
15 & -2.89902363942181 & 0.624828431004382 & -3.52385207042619 \tabularnewline
16 & 0.246874012745119 & 0.306496254991187 & -0.0596222422460677 \tabularnewline
17 & -0.731094375584061 & 0.301110195152789 & -1.03220457073685 \tabularnewline
18 & 1.97769407549524 & 0.207864530883549 & 1.76982954461169 \tabularnewline
19 & -0.089308186457892 & 0.367744593624248 & -0.45705278008214 \tabularnewline
20 & -1.64931358279907 & 0.326456082322231 & -1.9757696651213 \tabularnewline
21 & 1.78988776616251 & 0.147972126631419 & 1.64191563953109 \tabularnewline
22 & -0.655026882699021 & 0.296296905287299 & -0.95132378798632 \tabularnewline
23 & -0.95518008982139 & 0.21035772127207 & -1.16553781109346 \tabularnewline
24 & -0.501427837065876 & 0.10506720957753 & -0.606495046643406 \tabularnewline
25 & -1.47468882156665 & 0.050278619114404 & -1.52496744068105 \tabularnewline
26 & 2.4255103110643 & -0.0874814780858627 & 2.51299178915016 \tabularnewline
27 & -0.388732570521789 & 0.13953320032733 & -0.528265770849119 \tabularnewline
28 & -1.41970373897772 & 0.0918115624756735 & -1.51151530145339 \tabularnewline
29 & -0.435743764210552 & -0.0447333166431328 & -0.391010447567419 \tabularnewline
30 & 0.588337253253952 & -0.0800558001442566 & 0.668393053398209 \tabularnewline
31 & -1.73087780677345 & -0.0196755654272465 & -1.7112022413462 \tabularnewline
32 & 0.416192838768035 & -0.174259447553862 & 0.590452286321897 \tabularnewline
33 & -0.135602934239543 & -0.120920102603981 & -0.0146828316355618 \tabularnewline
34 & 1.5607508968729 & -0.122246497030073 & 1.68299739390297 \tabularnewline
35 & -0.619488852927662 & 0.0297894601890038 & -0.649278313116666 \tabularnewline
36 & 0.130061173484127 & -0.0288640173469041 & 0.158925190831031 \tabularnewline
37 & -0.485714783249833 & -0.0145072847686163 & -0.471207498481217 \tabularnewline
38 & 1.19042117073251 & -0.0570744826382812 & 1.24749565337079 \tabularnewline
39 & 0.504940688912012 & 0.0556198070106306 & 0.449320881901381 \tabularnewline
40 & -0.266725732456376 & 0.0962098463213714 & -0.362935578777747 \tabularnewline
41 & 1.8987616014054 & 0.0634235459217194 & 1.83533805548368 \tabularnewline
42 & 0.9835731579105 & 0.229221412927892 & 0.754351744982608 \tabularnewline
43 & 0.221023228988728 & 0.297366847997367 & -0.0763436190086392 \tabularnewline
44 & -0.176860990484583 & 0.290470238866779 & -0.467331229351362 \tabularnewline
45 & -0.162198287814433 & 0.248253209268159 & -0.410451497082592 \tabularnewline
46 & 0.78911590880292 & 0.211174490978384 & 0.577941417824536 \tabularnewline
47 & 1.41209201053576 & 0.263383648873592 & 1.14870836166217 \tabularnewline
48 & 0.518161844628975 & 0.367153848378091 & 0.151007996250884 \tabularnewline
49 & 2.36462043434148 & 0.380795369951987 & 1.98382506438949 \tabularnewline
50 & -1.24446105804486 & 0.560007021563755 & -1.80446807960861 \tabularnewline
51 & 1.09138861156198 & 0.396997837622986 & 0.694390773938994 \tabularnewline
52 & 0.422175612267996 & 0.459726613307589 & -0.0375510010395926 \tabularnewline
53 & -0.997989397904933 & 0.456334390355687 & -1.45432378826062 \tabularnewline
54 & 0.754650745534752 & 0.324955987717813 & 0.429694757816939 \tabularnewline
55 & -1.44375392644115 & 0.363773073266125 & -1.80752699970727 \tabularnewline
56 & 0.568632265545353 & 0.200487557438604 & 0.368144708106749 \tabularnewline
57 & 1.35413305240232 & 0.233744431926298 & 1.12038862047602 \tabularnewline
58 & -1.34288885715882 & 0.334956327433994 & -1.67784518459281 \tabularnewline
59 & -0.0968579661829751 & 0.183385802352306 & -0.280243768535281 \tabularnewline
60 & 0.242767533935212 & 0.158069583944424 & 0.0846979499907877 \tabularnewline
61 & 0.255744783559028 & 0.165720893416437 & 0.0900238901425908 \tabularnewline
62 & -0.243232899636027 & 0.173853329247887 & -0.417086228883914 \tabularnewline
63 & 0.461607264600104 & 0.136175253048254 & 0.32543201155185 \tabularnewline
64 & 0.0650797112167817 & 0.165573615496858 & -0.100493904280076 \tabularnewline
65 & 2.25999343044582 & 0.15649535608466 & 2.10349807436116 \tabularnewline
66 & 1.80462197944889 & 0.346517838830358 & 1.45810414061853 \tabularnewline
67 & 2.32548979115297 & 0.478237744961608 & 1.84725204619136 \tabularnewline
68 & 0.682758803307819 & 0.645111879220542 & 0.0376469240872768 \tabularnewline
69 & -0.335554613197298 & 0.648512767517041 & -0.984067380714339 \tabularnewline
70 & -0.997929583796738 & 0.559615644599928 & -1.55754522839667 \tabularnewline
71 & 0.97507128242145 & 0.418912586728797 & 0.556158695692653 \tabularnewline
72 & -1.17268516900173 & 0.46915397151743 & -1.64183914051916 \tabularnewline
73 & -0.000337278483281606 & 0.320836103508321 & -0.321173381991603 \tabularnewline
74 & -1.71460596672184 & 0.29182245040269 & -2.00642841712453 \tabularnewline
75 & -1.34872342854985 & 0.110568892854597 & -1.45929232140445 \tabularnewline
76 & -1.6521456119588 & -0.0212583492736012 & -1.6308872626852 \tabularnewline
77 & -1.48335049731373 & -0.16858686386133 & -1.3147636334524 \tabularnewline
78 & 0.925016701443022 & -0.287357901922896 & 1.21237460336592 \tabularnewline
79 & -0.226525557050897 & -0.177836322151833 & -0.0486892348990639 \tabularnewline
80 & 0.774905929042345 & -0.18223473326106 & 0.957140662303406 \tabularnewline
81 & -0.339789522342372 & -0.0957700736520936 & -0.244019448690278 \tabularnewline
82 & 0.89311055438168 & -0.117813916735927 & 1.01092447111761 \tabularnewline
83 & -0.864578780222597 & -0.0264906204555201 & -0.838088159767077 \tabularnewline
84 & -1.95217915873499 & -0.102200503350031 & -1.84997865538496 \tabularnewline
85 & -0.11317194501752 & -0.269320949718665 & 0.156149004701145 \tabularnewline
86 & 1.02470860347022 & -0.25521500785295 & 1.27992361132317 \tabularnewline
87 & -1.25650654087286 & -0.139591292617397 & -1.11691524825546 \tabularnewline
88 & -0.602130638597027 & -0.240489416117933 & -0.361641222479094 \tabularnewline
89 & -0.83233134657693 & -0.273158789005064 & -0.559172557571866 \tabularnewline
90 & -0.446577198612737 & -0.323672435282272 & -0.122904763330465 \tabularnewline
91 & -4.01053303468812 & -0.334775211440705 & -3.67575782324741 \tabularnewline
92 & 0.288513333839785 & -0.66683000914121 & 0.955343342980995 \tabularnewline
93 & -1.00798474916531 & -0.580527712923061 & -0.427457036242249 \tabularnewline
94 & -0.572816189634855 & -0.619142650718304 & 0.0463264610834492 \tabularnewline
95 & -0.297410570159231 & -0.614957684133739 & 0.317547113974508 \tabularnewline
96 & 1.21578539483534 & -0.58627161509396 & 1.8020570099293 \tabularnewline
97 & -0.727486991378146 & -0.423480238553217 & -0.304006752824929 \tabularnewline
98 & -0.843943364912431 & -0.45094311985906 & -0.393000245053371 \tabularnewline
99 & -1.20889338911855 & -0.486445354538971 & -0.722448034579579 \tabularnewline
100 & -0.649656515850742 & -0.551708722667917 & -0.0979477931828252 \tabularnewline
101 & 3.19984732249364 & -0.560556975522018 & 3.76040429801566 \tabularnewline
102 & 0.572738529480399 & -0.220855518436756 & 0.793594047917155 \tabularnewline
103 & -0.0199646221520179 & -0.149165074259275 & 0.129200452107257 \tabularnewline
104 & 0.462316869083462 & -0.1374935681236 & 0.599810437207062 \tabularnewline
105 & -1.28699501625665 & -0.0833088413372517 & -1.2036861749194 \tabularnewline
106 & -1.80757939159691 & -0.192045539598467 & -1.61553385199844 \tabularnewline
107 & -2.15431670426712 & -0.337987082050175 & -1.81632962221694 \tabularnewline
108 & 0.707840316820782 & -0.502067795270244 & 1.20990811209103 \tabularnewline
109 & 1.36410372036211 & -0.392769029487669 & 1.75687274984978 \tabularnewline
110 & 0.314718394752158 & -0.23405943718338 & 0.548777831935538 \tabularnewline
111 & -4.1002515835693 & -0.184484813193357 & -3.91576677037594 \tabularnewline
112 & 1.26992188862053 & -0.538221159629482 & 1.80814304825001 \tabularnewline
113 & 1.80144339707427 & -0.374879992182875 & 2.17632338925714 \tabularnewline
114 & -0.42970220964945 & -0.178278731299966 & -0.251423478349484 \tabularnewline
115 & 0.529993653035631 & -0.200991427907039 & 0.73098508094267 \tabularnewline
116 & 1.18764422512472 & -0.134956853583515 & 1.32260107870824 \tabularnewline
117 & -0.398233352310507 & -0.015477808785908 & -0.382755543524599 \tabularnewline
118 & -0.421884162222733 & -0.0500545738192263 & -0.371829588403507 \tabularnewline
119 & -2.6898323919027 & -0.0836443271962072 & -2.60618806470649 \tabularnewline
120 & 1.0140628812162 & -0.319078023377811 & 1.33314090459401 \tabularnewline
121 & -0.542058945797581 & -0.198646848456134 & -0.343412097341447 \tabularnewline
122 & -0.368690243263354 & -0.229669467462594 & -0.13902077580076 \tabularnewline
123 & 1.31411524584048 & -0.242228106471055 & 1.55634335231153 \tabularnewline
124 & -0.428705333764204 & -0.101633621781156 & -0.327071711983048 \tabularnewline
125 & -0.663582558495647 & -0.131180108894428 & -0.532402449601219 \tabularnewline
126 & 1.37204511801761 & -0.179275439489794 & 1.5513205575074 \tabularnewline
127 & -1.27310996987184 & -0.0391346960942836 & -1.23397527377756 \tabularnewline
128 & 0.810157913937622 & -0.150607603071499 & 0.960765517009121 \tabularnewline
129 & 1.5741305304336 & -0.0638154870701695 & 1.63794601750377 \tabularnewline
130 & -1.025150115941 & 0.0841506901482346 & -1.10930080608923 \tabularnewline
131 & -0.998930862337702 & -0.0160595719167302 & -0.982871290420972 \tabularnewline
132 & -0.0536208441845616 & -0.104848644320318 & 0.0512278001357568 \tabularnewline
133 & 1.66337771592794 & -0.100220908319013 & 1.76359862424695 \tabularnewline
134 & -0.178008462116163 & 0.0590962753908325 & -0.237104737506996 \tabularnewline
135 & -1.09164775518912 & 0.0376770825515285 & -1.12932483774065 \tabularnewline
136 & 1.96797905166753 & -0.0643420788204328 & 2.03232113048796 \tabularnewline
137 & 0.634220496887586 & 0.119250533722915 & 0.514969963164671 \tabularnewline
138 & 1.38764487483822 & 0.165771075924852 & 1.22187379891337 \tabularnewline
139 & 0.75570654001001 & 0.276150779002047 & 0.479555761007963 \tabularnewline
140 & -2.3214750727902 & 0.319472129010609 & -2.64094720180081 \tabularnewline
141 & 1.62023993830839 & 0.0808984168673714 & 1.53934152144102 \tabularnewline
142 & 0.423224828517651 & 0.219957017045363 & 0.203267811472288 \tabularnewline
143 & -1.7051130142733 & 0.238319503167428 & -1.94343251744073 \tabularnewline
144 & 0.541981863740972 & 0.0627567695885225 & 0.47922509415245 \tabularnewline
145 & -0.593027838089475 & 0.10604824833758 & -0.699076086427055 \tabularnewline
146 & 0.213567450337977 & 0.0428962183023923 & 0.170671232035585 \tabularnewline
147 & -0.696840242545287 & 0.0583140461768098 & -0.755154288722097 \tabularnewline
148 & 0.0777251570183703 & -0.00990388781992803 & 0.0876290448382983 \tabularnewline
149 & -0.725328497765991 & -0.00198779373656896 & -0.723340704029422 \tabularnewline
150 & 2.1315776363419 & -0.0673318024266822 & 2.19890943876858 \tabularnewline
151 & -0.33645518676905 & 0.131309801281301 & -0.467764988050351 \tabularnewline
152 & -0.979182554450992 & 0.0890535874752418 & -1.06823614192623 \tabularnewline
153 & -0.242246084610725 & -0.00744703989479158 & -0.234799044715933 \tabularnewline
154 & -1.82980075345691 & -0.0286579447047664 & -1.80114280875214 \tabularnewline
155 & -1.14814874978528 & -0.191366735585209 & -0.956782014200071 \tabularnewline
156 & 0.496126806273696 & -0.277798996208953 & 0.773925802482649 \tabularnewline
157 & -0.37803015357093 & -0.207885310885816 & -0.170144842685114 \tabularnewline
158 & 0.564631359789787 & -0.223255586631479 & 0.787886946421266 \tabularnewline
159 & 0.268965939275992 & -0.152080701564201 & 0.421046640840193 \tabularnewline
160 & 0.752661368724124 & -0.114044855931926 & 0.86670622465605 \tabularnewline
161 & -2.30203173253409 & -0.0357497195456888 & -2.2662820129884 \tabularnewline
162 & 2.82635859577673 & -0.240477520326188 & 3.06683611610292 \tabularnewline
163 & -0.607627712639158 & 0.0365694710921617 & -0.64419718373132 \tabularnewline
164 & 3.77405193258893 & -0.0216249954122058 & 3.79567692800114 \tabularnewline
165 & 1.08426693162876 & 0.321262864743498 & 0.763004066885262 \tabularnewline
166 & -2.2508985634727 & 0.390189919586957 & -2.64108848305966 \tabularnewline
167 & 0.290663952981133 & 0.151603444600768 & 0.139060508380365 \tabularnewline
168 & -1.1346060583543 & 0.164165672908175 & -1.29877173126247 \tabularnewline
169 & 1.41583984485642 & 0.0468392860183853 & 1.36900055883803 \tabularnewline
170 & 0.590041695581542 & 0.170509893679701 & 0.419531801901841 \tabularnewline
171 & 1.22056539827692 & 0.208408894187403 & 1.01215650408952 \tabularnewline
172 & 0.0970995178245223 & 0.299843487914193 & -0.20274397008967 \tabularnewline
173 & -0.906020145960084 & 0.281528323746591 & -1.18754846970667 \tabularnewline
174 & -0.597681226735446 & 0.174249447980065 & -0.771930674715511 \tabularnewline
175 & 0.437155726246844 & 0.104515995354228 & 0.332639730892616 \tabularnewline
176 & 0.742487563055592 & 0.134565477354953 & 0.607922085700639 \tabularnewline
177 & 1.22917286536281 & 0.189482981415832 & 1.03968988394698 \tabularnewline
178 & -0.95259160353182 & 0.2834048420732 & -1.23599644560502 \tabularnewline
179 & -0.75528682870179 & 0.171749349671547 & -0.927036178373337 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312467&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]2[/C][C]0.122433126801145[/C][C]1.72923686058208[/C][C]-1.60680373378094[/C][/ROW]
[ROW][C]3[/C][C]0.523768788982079[/C][C]1.58408396574483[/C][C]-1.06031517676275[/C][/ROW]
[ROW][C]4[/C][C]-0.50175942601324[/C][C]1.48829889000018[/C][C]-1.99005831601342[/C][/ROW]
[ROW][C]5[/C][C]-1.86386120887019[/C][C]1.30852414875995[/C][C]-3.17238535763014[/C][/ROW]
[ROW][C]6[/C][C]0.0717422351702872[/C][C]1.02194221686726[/C][C]-0.950199981696974[/C][/ROW]
[ROW][C]7[/C][C]-0.380578531491989[/C][C]0.936104553487506[/C][C]-1.31668308497949[/C][/ROW]
[ROW][C]8[/C][C]-0.29851611788274[/C][C]0.817160119049145[/C][C]-1.11567623693189[/C][/ROW]
[ROW][C]9[/C][C]1.94316215667028[/C][C]0.71637392339429[/C][C]1.22678823327599[/C][/ROW]
[ROW][C]10[/C][C]-1.24779901378139[/C][C]0.82719757887166[/C][C]-2.07499659265305[/C][/ROW]
[ROW][C]11[/C][C]1.35257277275093[/C][C]0.63974981791065[/C][C]0.71282295484028[/C][/ROW]
[ROW][C]12[/C][C]2.84406850014719[/C][C]0.704143690806403[/C][C]2.13992480934079[/C][/ROW]
[ROW][C]13[/C][C]1.12274878943606[/C][C]0.897456834334499[/C][C]0.225291955101561[/C][/ROW]
[ROW][C]14[/C][C]-2.32540657982629[/C][C]0.917808902716607[/C][C]-3.2432154825429[/C][/ROW]
[ROW][C]15[/C][C]-2.89902363942181[/C][C]0.624828431004382[/C][C]-3.52385207042619[/C][/ROW]
[ROW][C]16[/C][C]0.246874012745119[/C][C]0.306496254991187[/C][C]-0.0596222422460677[/C][/ROW]
[ROW][C]17[/C][C]-0.731094375584061[/C][C]0.301110195152789[/C][C]-1.03220457073685[/C][/ROW]
[ROW][C]18[/C][C]1.97769407549524[/C][C]0.207864530883549[/C][C]1.76982954461169[/C][/ROW]
[ROW][C]19[/C][C]-0.089308186457892[/C][C]0.367744593624248[/C][C]-0.45705278008214[/C][/ROW]
[ROW][C]20[/C][C]-1.64931358279907[/C][C]0.326456082322231[/C][C]-1.9757696651213[/C][/ROW]
[ROW][C]21[/C][C]1.78988776616251[/C][C]0.147972126631419[/C][C]1.64191563953109[/C][/ROW]
[ROW][C]22[/C][C]-0.655026882699021[/C][C]0.296296905287299[/C][C]-0.95132378798632[/C][/ROW]
[ROW][C]23[/C][C]-0.95518008982139[/C][C]0.21035772127207[/C][C]-1.16553781109346[/C][/ROW]
[ROW][C]24[/C][C]-0.501427837065876[/C][C]0.10506720957753[/C][C]-0.606495046643406[/C][/ROW]
[ROW][C]25[/C][C]-1.47468882156665[/C][C]0.050278619114404[/C][C]-1.52496744068105[/C][/ROW]
[ROW][C]26[/C][C]2.4255103110643[/C][C]-0.0874814780858627[/C][C]2.51299178915016[/C][/ROW]
[ROW][C]27[/C][C]-0.388732570521789[/C][C]0.13953320032733[/C][C]-0.528265770849119[/C][/ROW]
[ROW][C]28[/C][C]-1.41970373897772[/C][C]0.0918115624756735[/C][C]-1.51151530145339[/C][/ROW]
[ROW][C]29[/C][C]-0.435743764210552[/C][C]-0.0447333166431328[/C][C]-0.391010447567419[/C][/ROW]
[ROW][C]30[/C][C]0.588337253253952[/C][C]-0.0800558001442566[/C][C]0.668393053398209[/C][/ROW]
[ROW][C]31[/C][C]-1.73087780677345[/C][C]-0.0196755654272465[/C][C]-1.7112022413462[/C][/ROW]
[ROW][C]32[/C][C]0.416192838768035[/C][C]-0.174259447553862[/C][C]0.590452286321897[/C][/ROW]
[ROW][C]33[/C][C]-0.135602934239543[/C][C]-0.120920102603981[/C][C]-0.0146828316355618[/C][/ROW]
[ROW][C]34[/C][C]1.5607508968729[/C][C]-0.122246497030073[/C][C]1.68299739390297[/C][/ROW]
[ROW][C]35[/C][C]-0.619488852927662[/C][C]0.0297894601890038[/C][C]-0.649278313116666[/C][/ROW]
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[ROW][C]38[/C][C]1.19042117073251[/C][C]-0.0570744826382812[/C][C]1.24749565337079[/C][/ROW]
[ROW][C]39[/C][C]0.504940688912012[/C][C]0.0556198070106306[/C][C]0.449320881901381[/C][/ROW]
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[ROW][C]48[/C][C]0.518161844628975[/C][C]0.367153848378091[/C][C]0.151007996250884[/C][/ROW]
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[ROW][C]90[/C][C]-0.446577198612737[/C][C]-0.323672435282272[/C][C]-0.122904763330465[/C][/ROW]
[ROW][C]91[/C][C]-4.01053303468812[/C][C]-0.334775211440705[/C][C]-3.67575782324741[/C][/ROW]
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[ROW][C]99[/C][C]-1.20889338911855[/C][C]-0.486445354538971[/C][C]-0.722448034579579[/C][/ROW]
[ROW][C]100[/C][C]-0.649656515850742[/C][C]-0.551708722667917[/C][C]-0.0979477931828252[/C][/ROW]
[ROW][C]101[/C][C]3.19984732249364[/C][C]-0.560556975522018[/C][C]3.76040429801566[/C][/ROW]
[ROW][C]102[/C][C]0.572738529480399[/C][C]-0.220855518436756[/C][C]0.793594047917155[/C][/ROW]
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[ROW][C]106[/C][C]-1.80757939159691[/C][C]-0.192045539598467[/C][C]-1.61553385199844[/C][/ROW]
[ROW][C]107[/C][C]-2.15431670426712[/C][C]-0.337987082050175[/C][C]-1.81632962221694[/C][/ROW]
[ROW][C]108[/C][C]0.707840316820782[/C][C]-0.502067795270244[/C][C]1.20990811209103[/C][/ROW]
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[ROW][C]110[/C][C]0.314718394752158[/C][C]-0.23405943718338[/C][C]0.548777831935538[/C][/ROW]
[ROW][C]111[/C][C]-4.1002515835693[/C][C]-0.184484813193357[/C][C]-3.91576677037594[/C][/ROW]
[ROW][C]112[/C][C]1.26992188862053[/C][C]-0.538221159629482[/C][C]1.80814304825001[/C][/ROW]
[ROW][C]113[/C][C]1.80144339707427[/C][C]-0.374879992182875[/C][C]2.17632338925714[/C][/ROW]
[ROW][C]114[/C][C]-0.42970220964945[/C][C]-0.178278731299966[/C][C]-0.251423478349484[/C][/ROW]
[ROW][C]115[/C][C]0.529993653035631[/C][C]-0.200991427907039[/C][C]0.73098508094267[/C][/ROW]
[ROW][C]116[/C][C]1.18764422512472[/C][C]-0.134956853583515[/C][C]1.32260107870824[/C][/ROW]
[ROW][C]117[/C][C]-0.398233352310507[/C][C]-0.015477808785908[/C][C]-0.382755543524599[/C][/ROW]
[ROW][C]118[/C][C]-0.421884162222733[/C][C]-0.0500545738192263[/C][C]-0.371829588403507[/C][/ROW]
[ROW][C]119[/C][C]-2.6898323919027[/C][C]-0.0836443271962072[/C][C]-2.60618806470649[/C][/ROW]
[ROW][C]120[/C][C]1.0140628812162[/C][C]-0.319078023377811[/C][C]1.33314090459401[/C][/ROW]
[ROW][C]121[/C][C]-0.542058945797581[/C][C]-0.198646848456134[/C][C]-0.343412097341447[/C][/ROW]
[ROW][C]122[/C][C]-0.368690243263354[/C][C]-0.229669467462594[/C][C]-0.13902077580076[/C][/ROW]
[ROW][C]123[/C][C]1.31411524584048[/C][C]-0.242228106471055[/C][C]1.55634335231153[/C][/ROW]
[ROW][C]124[/C][C]-0.428705333764204[/C][C]-0.101633621781156[/C][C]-0.327071711983048[/C][/ROW]
[ROW][C]125[/C][C]-0.663582558495647[/C][C]-0.131180108894428[/C][C]-0.532402449601219[/C][/ROW]
[ROW][C]126[/C][C]1.37204511801761[/C][C]-0.179275439489794[/C][C]1.5513205575074[/C][/ROW]
[ROW][C]127[/C][C]-1.27310996987184[/C][C]-0.0391346960942836[/C][C]-1.23397527377756[/C][/ROW]
[ROW][C]128[/C][C]0.810157913937622[/C][C]-0.150607603071499[/C][C]0.960765517009121[/C][/ROW]
[ROW][C]129[/C][C]1.5741305304336[/C][C]-0.0638154870701695[/C][C]1.63794601750377[/C][/ROW]
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[ROW][C]131[/C][C]-0.998930862337702[/C][C]-0.0160595719167302[/C][C]-0.982871290420972[/C][/ROW]
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[ROW][C]165[/C][C]1.08426693162876[/C][C]0.321262864743498[/C][C]0.763004066885262[/C][/ROW]
[ROW][C]166[/C][C]-2.2508985634727[/C][C]0.390189919586957[/C][C]-2.64108848305966[/C][/ROW]
[ROW][C]167[/C][C]0.290663952981133[/C][C]0.151603444600768[/C][C]0.139060508380365[/C][/ROW]
[ROW][C]168[/C][C]-1.1346060583543[/C][C]0.164165672908175[/C][C]-1.29877173126247[/C][/ROW]
[ROW][C]169[/C][C]1.41583984485642[/C][C]0.0468392860183853[/C][C]1.36900055883803[/C][/ROW]
[ROW][C]170[/C][C]0.590041695581542[/C][C]0.170509893679701[/C][C]0.419531801901841[/C][/ROW]
[ROW][C]171[/C][C]1.22056539827692[/C][C]0.208408894187403[/C][C]1.01215650408952[/C][/ROW]
[ROW][C]172[/C][C]0.0970995178245223[/C][C]0.299843487914193[/C][C]-0.20274397008967[/C][/ROW]
[ROW][C]173[/C][C]-0.906020145960084[/C][C]0.281528323746591[/C][C]-1.18754846970667[/C][/ROW]
[ROW][C]174[/C][C]-0.597681226735446[/C][C]0.174249447980065[/C][C]-0.771930674715511[/C][/ROW]
[ROW][C]175[/C][C]0.437155726246844[/C][C]0.104515995354228[/C][C]0.332639730892616[/C][/ROW]
[ROW][C]176[/C][C]0.742487563055592[/C][C]0.134565477354953[/C][C]0.607922085700639[/C][/ROW]
[ROW][C]177[/C][C]1.22917286536281[/C][C]0.189482981415832[/C][C]1.03968988394698[/C][/ROW]
[ROW][C]178[/C][C]-0.95259160353182[/C][C]0.2834048420732[/C][C]-1.23599644560502[/C][/ROW]
[ROW][C]179[/C][C]-0.75528682870179[/C][C]0.171749349671547[/C][C]-0.927036178373337[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=312467&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312467&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
20.1224331268011451.72923686058208-1.60680373378094
30.5237687889820791.58408396574483-1.06031517676275
4-0.501759426013241.48829889000018-1.99005831601342
5-1.863861208870191.30852414875995-3.17238535763014
60.07174223517028721.02194221686726-0.950199981696974
7-0.3805785314919890.936104553487506-1.31668308497949
8-0.298516117882740.817160119049145-1.11567623693189
91.943162156670280.716373923394291.22678823327599
10-1.247799013781390.82719757887166-2.07499659265305
111.352572772750930.639749817910650.71282295484028
122.844068500147190.7041436908064032.13992480934079
131.122748789436060.8974568343344990.225291955101561
14-2.325406579826290.917808902716607-3.2432154825429
15-2.899023639421810.624828431004382-3.52385207042619
160.2468740127451190.306496254991187-0.0596222422460677
17-0.7310943755840610.301110195152789-1.03220457073685
181.977694075495240.2078645308835491.76982954461169
19-0.0893081864578920.367744593624248-0.45705278008214
20-1.649313582799070.326456082322231-1.9757696651213
211.789887766162510.1479721266314191.64191563953109
22-0.6550268826990210.296296905287299-0.95132378798632
23-0.955180089821390.21035772127207-1.16553781109346
24-0.5014278370658760.10506720957753-0.606495046643406
25-1.474688821566650.050278619114404-1.52496744068105
262.4255103110643-0.08748147808586272.51299178915016
27-0.3887325705217890.13953320032733-0.528265770849119
28-1.419703738977720.0918115624756735-1.51151530145339
29-0.435743764210552-0.0447333166431328-0.391010447567419
300.588337253253952-0.08005580014425660.668393053398209
31-1.73087780677345-0.0196755654272465-1.7112022413462
320.416192838768035-0.1742594475538620.590452286321897
33-0.135602934239543-0.120920102603981-0.0146828316355618
341.5607508968729-0.1222464970300731.68299739390297
35-0.6194888529276620.0297894601890038-0.649278313116666
360.130061173484127-0.02886401734690410.158925190831031
37-0.485714783249833-0.0145072847686163-0.471207498481217
381.19042117073251-0.05707448263828121.24749565337079
390.5049406889120120.05561980701063060.449320881901381
40-0.2667257324563760.0962098463213714-0.362935578777747
411.89876160140540.06342354592171941.83533805548368
420.98357315791050.2292214129278920.754351744982608
430.2210232289887280.297366847997367-0.0763436190086392
44-0.1768609904845830.290470238866779-0.467331229351362
45-0.1621982878144330.248253209268159-0.410451497082592
460.789115908802920.2111744909783840.577941417824536
471.412092010535760.2633836488735921.14870836166217
480.5181618446289750.3671538483780910.151007996250884
492.364620434341480.3807953699519871.98382506438949
50-1.244461058044860.560007021563755-1.80446807960861
511.091388611561980.3969978376229860.694390773938994
520.4221756122679960.459726613307589-0.0375510010395926
53-0.9979893979049330.456334390355687-1.45432378826062
540.7546507455347520.3249559877178130.429694757816939
55-1.443753926441150.363773073266125-1.80752699970727
560.5686322655453530.2004875574386040.368144708106749
571.354133052402320.2337444319262981.12038862047602
58-1.342888857158820.334956327433994-1.67784518459281
59-0.09685796618297510.183385802352306-0.280243768535281
600.2427675339352120.1580695839444240.0846979499907877
610.2557447835590280.1657208934164370.0900238901425908
62-0.2432328996360270.173853329247887-0.417086228883914
630.4616072646001040.1361752530482540.32543201155185
640.06507971121678170.165573615496858-0.100493904280076
652.259993430445820.156495356084662.10349807436116
661.804621979448890.3465178388303581.45810414061853
672.325489791152970.4782377449616081.84725204619136
680.6827588033078190.6451118792205420.0376469240872768
69-0.3355546131972980.648512767517041-0.984067380714339
70-0.9979295837967380.559615644599928-1.55754522839667
710.975071282421450.4189125867287970.556158695692653
72-1.172685169001730.46915397151743-1.64183914051916
73-0.0003372784832816060.320836103508321-0.321173381991603
74-1.714605966721840.29182245040269-2.00642841712453
75-1.348723428549850.110568892854597-1.45929232140445
76-1.6521456119588-0.0212583492736012-1.6308872626852
77-1.48335049731373-0.16858686386133-1.3147636334524
780.925016701443022-0.2873579019228961.21237460336592
79-0.226525557050897-0.177836322151833-0.0486892348990639
800.774905929042345-0.182234733261060.957140662303406
81-0.339789522342372-0.0957700736520936-0.244019448690278
820.89311055438168-0.1178139167359271.01092447111761
83-0.864578780222597-0.0264906204555201-0.838088159767077
84-1.95217915873499-0.102200503350031-1.84997865538496
85-0.11317194501752-0.2693209497186650.156149004701145
861.02470860347022-0.255215007852951.27992361132317
87-1.25650654087286-0.139591292617397-1.11691524825546
88-0.602130638597027-0.240489416117933-0.361641222479094
89-0.83233134657693-0.273158789005064-0.559172557571866
90-0.446577198612737-0.323672435282272-0.122904763330465
91-4.01053303468812-0.334775211440705-3.67575782324741
920.288513333839785-0.666830009141210.955343342980995
93-1.00798474916531-0.580527712923061-0.427457036242249
94-0.572816189634855-0.6191426507183040.0463264610834492
95-0.297410570159231-0.6149576841337390.317547113974508
961.21578539483534-0.586271615093961.8020570099293
97-0.727486991378146-0.423480238553217-0.304006752824929
98-0.843943364912431-0.45094311985906-0.393000245053371
99-1.20889338911855-0.486445354538971-0.722448034579579
100-0.649656515850742-0.551708722667917-0.0979477931828252
1013.19984732249364-0.5605569755220183.76040429801566
1020.572738529480399-0.2208555184367560.793594047917155
103-0.0199646221520179-0.1491650742592750.129200452107257
1040.462316869083462-0.13749356812360.599810437207062
105-1.28699501625665-0.0833088413372517-1.2036861749194
106-1.80757939159691-0.192045539598467-1.61553385199844
107-2.15431670426712-0.337987082050175-1.81632962221694
1080.707840316820782-0.5020677952702441.20990811209103
1091.36410372036211-0.3927690294876691.75687274984978
1100.314718394752158-0.234059437183380.548777831935538
111-4.1002515835693-0.184484813193357-3.91576677037594
1121.26992188862053-0.5382211596294821.80814304825001
1131.80144339707427-0.3748799921828752.17632338925714
114-0.42970220964945-0.178278731299966-0.251423478349484
1150.529993653035631-0.2009914279070390.73098508094267
1161.18764422512472-0.1349568535835151.32260107870824
117-0.398233352310507-0.015477808785908-0.382755543524599
118-0.421884162222733-0.0500545738192263-0.371829588403507
119-2.6898323919027-0.0836443271962072-2.60618806470649
1201.0140628812162-0.3190780233778111.33314090459401
121-0.542058945797581-0.198646848456134-0.343412097341447
122-0.368690243263354-0.229669467462594-0.13902077580076
1231.31411524584048-0.2422281064710551.55634335231153
124-0.428705333764204-0.101633621781156-0.327071711983048
125-0.663582558495647-0.131180108894428-0.532402449601219
1261.37204511801761-0.1792754394897941.5513205575074
127-1.27310996987184-0.0391346960942836-1.23397527377756
1280.810157913937622-0.1506076030714990.960765517009121
1291.5741305304336-0.06381548707016951.63794601750377
130-1.0251501159410.0841506901482346-1.10930080608923
131-0.998930862337702-0.0160595719167302-0.982871290420972
132-0.0536208441845616-0.1048486443203180.0512278001357568
1331.66337771592794-0.1002209083190131.76359862424695
134-0.1780084621161630.0590962753908325-0.237104737506996
135-1.091647755189120.0376770825515285-1.12932483774065
1361.96797905166753-0.06434207882043282.03232113048796
1370.6342204968875860.1192505337229150.514969963164671
1381.387644874838220.1657710759248521.22187379891337
1390.755706540010010.2761507790020470.479555761007963
140-2.32147507279020.319472129010609-2.64094720180081
1411.620239938308390.08089841686737141.53934152144102
1420.4232248285176510.2199570170453630.203267811472288
143-1.70511301427330.238319503167428-1.94343251744073
1440.5419818637409720.06275676958852250.47922509415245
145-0.5930278380894750.10604824833758-0.699076086427055
1460.2135674503379770.04289621830239230.170671232035585
147-0.6968402425452870.0583140461768098-0.755154288722097
1480.0777251570183703-0.009903887819928030.0876290448382983
149-0.725328497765991-0.00198779373656896-0.723340704029422
1502.1315776363419-0.06733180242668222.19890943876858
151-0.336455186769050.131309801281301-0.467764988050351
152-0.9791825544509920.0890535874752418-1.06823614192623
153-0.242246084610725-0.00744703989479158-0.234799044715933
154-1.82980075345691-0.0286579447047664-1.80114280875214
155-1.14814874978528-0.191366735585209-0.956782014200071
1560.496126806273696-0.2777989962089530.773925802482649
157-0.37803015357093-0.207885310885816-0.170144842685114
1580.564631359789787-0.2232555866314790.787886946421266
1590.268965939275992-0.1520807015642010.421046640840193
1600.752661368724124-0.1140448559319260.86670622465605
161-2.30203173253409-0.0357497195456888-2.2662820129884
1622.82635859577673-0.2404775203261883.06683611610292
163-0.6076277126391580.0365694710921617-0.64419718373132
1643.77405193258893-0.02162499541220583.79567692800114
1651.084266931628760.3212628647434980.763004066885262
166-2.25089856347270.390189919586957-2.64108848305966
1670.2906639529811330.1516034446007680.139060508380365
168-1.13460605835430.164165672908175-1.29877173126247
1691.415839844856420.04683928601838531.36900055883803
1700.5900416955815420.1705098936797010.419531801901841
1711.220565398276920.2084088941874031.01215650408952
1720.09709951782452230.299843487914193-0.20274397008967
173-0.9060201459600840.281528323746591-1.18754846970667
174-0.5976812267354460.174249447980065-0.771930674715511
1750.4371557262468440.1045159953542280.332639730892616
1760.7424875630555920.1345654773549530.607922085700639
1771.229172865362810.1894829814158321.03968988394698
178-0.952591603531820.2834048420732-1.23599644560502
179-0.755286828701790.171749349671547-0.927036178373337







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1800.0880042213271413-2.583080416651582.75908885930586
1810.0880042213271413-2.593957189492692.76996563214697
1820.0880042213271413-2.604790029076612.78079847173089
1830.0880042213271413-2.615579463504592.79158790615887
1840.0880042213271413-2.62632601038182.80233445303608
1850.0880042213271413-2.637030177107112.81303861976139
1860.0880042213271413-2.647692461152612.8237009038069
1870.0880042213271413-2.658313350333422.8343217929877
1880.0880042213271413-2.668893323068072.84490176572235
1890.0880042213271413-2.679432848630032.85544129128432
1900.0880042213271413-2.689932387390552.86594083004484
1910.0880042213271413-2.700392391053312.87640083370759

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
180 & 0.0880042213271413 & -2.58308041665158 & 2.75908885930586 \tabularnewline
181 & 0.0880042213271413 & -2.59395718949269 & 2.76996563214697 \tabularnewline
182 & 0.0880042213271413 & -2.60479002907661 & 2.78079847173089 \tabularnewline
183 & 0.0880042213271413 & -2.61557946350459 & 2.79158790615887 \tabularnewline
184 & 0.0880042213271413 & -2.6263260103818 & 2.80233445303608 \tabularnewline
185 & 0.0880042213271413 & -2.63703017710711 & 2.81303861976139 \tabularnewline
186 & 0.0880042213271413 & -2.64769246115261 & 2.8237009038069 \tabularnewline
187 & 0.0880042213271413 & -2.65831335033342 & 2.8343217929877 \tabularnewline
188 & 0.0880042213271413 & -2.66889332306807 & 2.84490176572235 \tabularnewline
189 & 0.0880042213271413 & -2.67943284863003 & 2.85544129128432 \tabularnewline
190 & 0.0880042213271413 & -2.68993238739055 & 2.86594083004484 \tabularnewline
191 & 0.0880042213271413 & -2.70039239105331 & 2.87640083370759 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312467&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]180[/C][C]0.0880042213271413[/C][C]-2.58308041665158[/C][C]2.75908885930586[/C][/ROW]
[ROW][C]181[/C][C]0.0880042213271413[/C][C]-2.59395718949269[/C][C]2.76996563214697[/C][/ROW]
[ROW][C]182[/C][C]0.0880042213271413[/C][C]-2.60479002907661[/C][C]2.78079847173089[/C][/ROW]
[ROW][C]183[/C][C]0.0880042213271413[/C][C]-2.61557946350459[/C][C]2.79158790615887[/C][/ROW]
[ROW][C]184[/C][C]0.0880042213271413[/C][C]-2.6263260103818[/C][C]2.80233445303608[/C][/ROW]
[ROW][C]185[/C][C]0.0880042213271413[/C][C]-2.63703017710711[/C][C]2.81303861976139[/C][/ROW]
[ROW][C]186[/C][C]0.0880042213271413[/C][C]-2.64769246115261[/C][C]2.8237009038069[/C][/ROW]
[ROW][C]187[/C][C]0.0880042213271413[/C][C]-2.65831335033342[/C][C]2.8343217929877[/C][/ROW]
[ROW][C]188[/C][C]0.0880042213271413[/C][C]-2.66889332306807[/C][C]2.84490176572235[/C][/ROW]
[ROW][C]189[/C][C]0.0880042213271413[/C][C]-2.67943284863003[/C][C]2.85544129128432[/C][/ROW]
[ROW][C]190[/C][C]0.0880042213271413[/C][C]-2.68993238739055[/C][C]2.86594083004484[/C][/ROW]
[ROW][C]191[/C][C]0.0880042213271413[/C][C]-2.70039239105331[/C][C]2.87640083370759[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=312467&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312467&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
1800.0880042213271413-2.583080416651582.75908885930586
1810.0880042213271413-2.593957189492692.76996563214697
1820.0880042213271413-2.604790029076612.78079847173089
1830.0880042213271413-2.615579463504592.79158790615887
1840.0880042213271413-2.62632601038182.80233445303608
1850.0880042213271413-2.637030177107112.81303861976139
1860.0880042213271413-2.647692461152612.8237009038069
1870.0880042213271413-2.658313350333422.8343217929877
1880.0880042213271413-2.668893323068072.84490176572235
1890.0880042213271413-2.679432848630032.85544129128432
1900.0880042213271413-2.689932387390552.86594083004484
1910.0880042213271413-2.700392391053312.87640083370759



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')