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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 31 May 2010 17:14:54 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/May/31/t12753261494376g9jtjb67jns.htm/, Retrieved Mon, 29 Apr 2024 09:52:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76770, Retrieved Mon, 29 Apr 2024 09:52:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-05-31 17:14:54] [3c5691dd66ab5929cdba3f011b504b86] [Current]
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Dataseries X:
15136
16733
20016
17708
18019
19227
22893
23739
21133
22591
26786
29740
15028
17977
20008
21354
19498
22125
25817
28779
20960
22254
27392
29945
16933
17892
20533
23569
22417
22084
26580
27454
24081
23451
28991
31386
16896
20045
23471
21747
25621
23859
25500
30998
24475
23145
29701
34365
17556
22077
25702
22214
26886
23191
27831
35406
23195
25110
30009
36242
18450
21845
26488
22394
28057
25451
24872
33424
24052
28449
33533
37351
19969
21701
26249
24493
24603
26485
30723
34569
26689
26157
32064
38870
21337
19419
23166
28286
24570
24001
33151
24878
26804
28967
33311
40226
20504
23060
23562
27562
23940
24584
34303
25517
23494
29095
32903
34379
16991
21109
23740
25552
21752
20294
29009
25500
24166
26960
31222
38641
14672
17543
25453
32683
22449
22316
27595
25451
25421
25288
32568
35110
16052
22146
21198
19543
22084
23816
29961
26773
26635
26972
30207
38687
16974
21697
24179
23757
25013
24019
30345
24488
25156
25650
30923
37240
17466
19463
24352
26805
25236
24735
29356
31234
22724
28496
32857
37198
13652
22784
23565
26323
23779
27549
29660
23356




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76770&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76770&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76770&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0165590081393153
beta0.812571984122757
gamma0.275925381237208

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0165590081393153 \tabularnewline
beta & 0.812571984122757 \tabularnewline
gamma & 0.275925381237208 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76770&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]0.0165590081393153[/C][/ROW]
[ROW][C]beta[/C][C]0.812571984122757[/C][/ROW]
[ROW][C]gamma[/C][C]0.275925381237208[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76770&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76770&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
alpha0.0165590081393153
beta0.812571984122757
gamma0.275925381237208







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131502814043.3258547009984.674145299134
141797716849.90181446561127.09818553442
152000818885.04338299611122.95661700386
162135420474.2678527804879.732147219562
171949818836.843568961661.156431039013
182212521665.1126697963459.88733020371
192581724118.32024887591698.67975112414
202877925198.27239364613580.72760635391
212096022901.4027899613-1941.40278996134
222225424450.8865266520-2196.88652665198
232739228641.6214163024-1249.62141630243
242994531621.3946046582-1676.39460465818
251693317112.5335452297-179.533545229693
261789219969.2434291384-2077.24342913844
272053321937.8491681524-1404.84916815238
282356923372.8513091111196.148690888909
292241721609.2339050159807.766094984083
302208424331.7260094808-2247.72600948080
312658026986.2313177364-406.231317736401
322745428423.6903866504-969.690386650425
332408124373.4342655675-292.434265567535
342345125723.5125969617-2272.51259696168
352899130011.6404411801-1020.64044118013
363138632724.0776112328-1338.07761123275
371689618476.2335461904-1580.23354619036
382004520625.1787534420-580.17875344204
392347122651.5615379194819.43846208063
402174724438.2939289779-2691.29392897788
412562122634.43528705152986.56471294846
422385924434.8012800507-575.80128005071
432550027510.1119087904-2010.11190879042
443099828639.95195085152358.04804914852
452447524745.1914492925-270.191449292539
462314525475.2444308131-2330.24443081305
472970130018.2560450529-317.256045052887
483436532581.80260335971783.19739664027
491755618287.5317969618-731.531796961805
502207720700.92005839601376.07994160396
512570223144.83195047872557.16804952134
522221424036.4021951834-1822.40219518340
532688623828.06793369593057.93206630407
542319124704.3189188362-1513.31891883618
552783127403.6550380826427.344961917439
563540629820.74085115335585.25914884671
572319525371.2097547596-2176.20975475962
582511025590.0257500626-480.025750062643
593000930814.1409034512-805.14090345117
603624234037.24384286382204.75615713616
611845019170.9021127666-720.902112766584
622184522259.8593732385-414.859373238534
632648825073.99223604931414.00776395072
642239424822.2085203781-2428.20852037808
652805725984.00069765032072.99930234966
662545125646.1000222340-195.100022233961
672487228954.2088554446-4082.20885544463
683342432695.9086966455728.091303354526
692405225994.1240270446-1942.12402704457
702844926614.53626166341834.46373833664
713353331757.34710427211775.65289572786
723735135843.25772206651507.74227793349
731996920165.417320889-196.417320889002
742170123347.1023896216-1646.10238962161
752624926621.5511401614-372.551140161388
762449325257.964604262-764.964604261986
772460327651.4998137125-3048.49981371247
782648526527.1874591475-42.1874591475134
793072328698.95265723732024.04734276273
803456933845.1493536221723.85064637789
812668926416.7354781968272.264521803158
822615728126.4330911603-1969.43309116025
833206433166.929882362-1102.92988236200
843887037070.37574123691799.6242587631
852133720876.7624643109460.237535689106
861941923626.6037536597-4207.60375365971
872316627120.4206745899-3954.4206745899
882828625459.04051511412826.9594848859
892457027208.7358759055-2638.73587590551
902400126828.8374132503-2827.83741325027
913315129399.52562776533751.47437223467
922487834129.1181181138-9251.11811811375
932680426186.3787642776617.621235722359
942896727071.53407549501895.46592450503
953331132241.20237283271069.79762716727
964022636827.52925354673398.47074645328
972050420177.7296872069326.270312793069
982306021537.69121241111522.30878758886
992356225151.1777029187-1589.17770291867
1002756225357.04438482812204.95561517187
1012394025592.829966219-1652.82996621901
1022458425170.749997975-586.749997974981
1033430329586.84776741314716.15223258694
1042551730840.0201590292-5323.02015902921
1052349425729.0667639215-2235.06676392154
1062909526964.14727262122130.85272737878
1073290331967.2418782559935.758121744082
1083437937235.0246930085-2856.02469300845
1091699119615.6145007068-2624.61450070684
1102110921179.1782690323-70.1782690322507
1112374023828.4590254018-88.4590254017858
1122555225015.4167931369536.583206863092
1132175224080.97122572-2328.97122572002
1142029423832.1148185671-3538.11481856714
1152900929493.7374929715-484.737492971457
1162550027722.0358357092-2222.03583570921
1172416623327.5328178823838.4671821177
1182696025666.74892927231293.25107072767
1193122230188.92797785281033.07202214723
1203864134287.95812182514353.04187817489
1211467216806.2784949350-2134.27849493498
1221754319033.2827967697-1490.28279676972
1232545321597.13799002623855.86200997376
1243268323015.14188922829667.85811077176
1252244921573.3025914227875.6974085773
1262231621211.51135366011104.48864633989
1272759528003.1400296920-408.140029691971
1282545125986.8863214846-535.886321484551
1292542122699.08540312612721.91459687386
1302528825466.5348022003-178.534802200349
1313256830147.57463681632420.42536318365
1323511035442.9735209674-332.97352096736
1331605216332.7712356516-280.771235651608
1342214618999.60830527423146.39169472577
1352119823387.7289287219-2189.72892872186
1361954326498.1764753956-6955.17647539564
1372208422387.029099501-303.029099500978
1382381622043.70440352621772.29559647384
1392996128420.81666641631540.18333358365
1402677326413.2626719779359.737328022147
1412663524047.47043429452587.52956570546
1422697226046.9841803606925.015819639371
1433020731487.7356481160-1280.73564811604
1443868735961.08784419112725.91215580889
1451697416943.25466522630.7453347739938
1462169720576.97564611181120.02435388822
1472417923488.0291179545690.970882045498
1482375725396.2823582033-1639.28235820331
1492501323293.02914853701719.97085146305
1502401923688.3419946624330.658005337562
1513034530101.1854217337243.814578266276
1522448827856.988592583-3368.98859258301
1532515626088.9516746804-932.951674680444
1542565027586.6404748639-1936.64047486386
1553092332350.5607992501-1427.56079925007
1563724037875.8350444651-635.835044465086
1571746617992.8745627008-526.87456270081
1581946321827.3321531516-2364.33215315158
1592435224431.7658837295-79.7658837294657
1602680525552.06108043311252.93891956686
1612523624304.3043264481931.695673551876
1622473524195.0082500898539.99174991015
1632935630476.0121575791-1120.01215757914
1643123427098.78351841694135.21648158312
1652272426086.9236289532-3362.92362895325
1662849627210.20177930801285.79822069205
1673285732147.1682272963709.831772703721
1683719837932.978553725-734.978553724992
1691365218086.9126406551-4434.91264065506
1702278421314.43625651091469.56374348911
1712356524610.2585790204-1045.25857902037
1722632326071.1845412166251.815458783389
1732377924701.188766221-922.188766221017
1742754924411.46811100773137.53188899227
1752966030276.5482912322-616.548291232175
1762335628331.986528598-4975.986528598

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 15028 & 14043.3258547009 & 984.674145299134 \tabularnewline
14 & 17977 & 16849.9018144656 & 1127.09818553442 \tabularnewline
15 & 20008 & 18885.0433829961 & 1122.95661700386 \tabularnewline
16 & 21354 & 20474.2678527804 & 879.732147219562 \tabularnewline
17 & 19498 & 18836.843568961 & 661.156431039013 \tabularnewline
18 & 22125 & 21665.1126697963 & 459.88733020371 \tabularnewline
19 & 25817 & 24118.3202488759 & 1698.67975112414 \tabularnewline
20 & 28779 & 25198.2723936461 & 3580.72760635391 \tabularnewline
21 & 20960 & 22901.4027899613 & -1941.40278996134 \tabularnewline
22 & 22254 & 24450.8865266520 & -2196.88652665198 \tabularnewline
23 & 27392 & 28641.6214163024 & -1249.62141630243 \tabularnewline
24 & 29945 & 31621.3946046582 & -1676.39460465818 \tabularnewline
25 & 16933 & 17112.5335452297 & -179.533545229693 \tabularnewline
26 & 17892 & 19969.2434291384 & -2077.24342913844 \tabularnewline
27 & 20533 & 21937.8491681524 & -1404.84916815238 \tabularnewline
28 & 23569 & 23372.8513091111 & 196.148690888909 \tabularnewline
29 & 22417 & 21609.2339050159 & 807.766094984083 \tabularnewline
30 & 22084 & 24331.7260094808 & -2247.72600948080 \tabularnewline
31 & 26580 & 26986.2313177364 & -406.231317736401 \tabularnewline
32 & 27454 & 28423.6903866504 & -969.690386650425 \tabularnewline
33 & 24081 & 24373.4342655675 & -292.434265567535 \tabularnewline
34 & 23451 & 25723.5125969617 & -2272.51259696168 \tabularnewline
35 & 28991 & 30011.6404411801 & -1020.64044118013 \tabularnewline
36 & 31386 & 32724.0776112328 & -1338.07761123275 \tabularnewline
37 & 16896 & 18476.2335461904 & -1580.23354619036 \tabularnewline
38 & 20045 & 20625.1787534420 & -580.17875344204 \tabularnewline
39 & 23471 & 22651.5615379194 & 819.43846208063 \tabularnewline
40 & 21747 & 24438.2939289779 & -2691.29392897788 \tabularnewline
41 & 25621 & 22634.4352870515 & 2986.56471294846 \tabularnewline
42 & 23859 & 24434.8012800507 & -575.80128005071 \tabularnewline
43 & 25500 & 27510.1119087904 & -2010.11190879042 \tabularnewline
44 & 30998 & 28639.9519508515 & 2358.04804914852 \tabularnewline
45 & 24475 & 24745.1914492925 & -270.191449292539 \tabularnewline
46 & 23145 & 25475.2444308131 & -2330.24443081305 \tabularnewline
47 & 29701 & 30018.2560450529 & -317.256045052887 \tabularnewline
48 & 34365 & 32581.8026033597 & 1783.19739664027 \tabularnewline
49 & 17556 & 18287.5317969618 & -731.531796961805 \tabularnewline
50 & 22077 & 20700.9200583960 & 1376.07994160396 \tabularnewline
51 & 25702 & 23144.8319504787 & 2557.16804952134 \tabularnewline
52 & 22214 & 24036.4021951834 & -1822.40219518340 \tabularnewline
53 & 26886 & 23828.0679336959 & 3057.93206630407 \tabularnewline
54 & 23191 & 24704.3189188362 & -1513.31891883618 \tabularnewline
55 & 27831 & 27403.6550380826 & 427.344961917439 \tabularnewline
56 & 35406 & 29820.7408511533 & 5585.25914884671 \tabularnewline
57 & 23195 & 25371.2097547596 & -2176.20975475962 \tabularnewline
58 & 25110 & 25590.0257500626 & -480.025750062643 \tabularnewline
59 & 30009 & 30814.1409034512 & -805.14090345117 \tabularnewline
60 & 36242 & 34037.2438428638 & 2204.75615713616 \tabularnewline
61 & 18450 & 19170.9021127666 & -720.902112766584 \tabularnewline
62 & 21845 & 22259.8593732385 & -414.859373238534 \tabularnewline
63 & 26488 & 25073.9922360493 & 1414.00776395072 \tabularnewline
64 & 22394 & 24822.2085203781 & -2428.20852037808 \tabularnewline
65 & 28057 & 25984.0006976503 & 2072.99930234966 \tabularnewline
66 & 25451 & 25646.1000222340 & -195.100022233961 \tabularnewline
67 & 24872 & 28954.2088554446 & -4082.20885544463 \tabularnewline
68 & 33424 & 32695.9086966455 & 728.091303354526 \tabularnewline
69 & 24052 & 25994.1240270446 & -1942.12402704457 \tabularnewline
70 & 28449 & 26614.5362616634 & 1834.46373833664 \tabularnewline
71 & 33533 & 31757.3471042721 & 1775.65289572786 \tabularnewline
72 & 37351 & 35843.2577220665 & 1507.74227793349 \tabularnewline
73 & 19969 & 20165.417320889 & -196.417320889002 \tabularnewline
74 & 21701 & 23347.1023896216 & -1646.10238962161 \tabularnewline
75 & 26249 & 26621.5511401614 & -372.551140161388 \tabularnewline
76 & 24493 & 25257.964604262 & -764.964604261986 \tabularnewline
77 & 24603 & 27651.4998137125 & -3048.49981371247 \tabularnewline
78 & 26485 & 26527.1874591475 & -42.1874591475134 \tabularnewline
79 & 30723 & 28698.9526572373 & 2024.04734276273 \tabularnewline
80 & 34569 & 33845.1493536221 & 723.85064637789 \tabularnewline
81 & 26689 & 26416.7354781968 & 272.264521803158 \tabularnewline
82 & 26157 & 28126.4330911603 & -1969.43309116025 \tabularnewline
83 & 32064 & 33166.929882362 & -1102.92988236200 \tabularnewline
84 & 38870 & 37070.3757412369 & 1799.6242587631 \tabularnewline
85 & 21337 & 20876.7624643109 & 460.237535689106 \tabularnewline
86 & 19419 & 23626.6037536597 & -4207.60375365971 \tabularnewline
87 & 23166 & 27120.4206745899 & -3954.4206745899 \tabularnewline
88 & 28286 & 25459.0405151141 & 2826.9594848859 \tabularnewline
89 & 24570 & 27208.7358759055 & -2638.73587590551 \tabularnewline
90 & 24001 & 26828.8374132503 & -2827.83741325027 \tabularnewline
91 & 33151 & 29399.5256277653 & 3751.47437223467 \tabularnewline
92 & 24878 & 34129.1181181138 & -9251.11811811375 \tabularnewline
93 & 26804 & 26186.3787642776 & 617.621235722359 \tabularnewline
94 & 28967 & 27071.5340754950 & 1895.46592450503 \tabularnewline
95 & 33311 & 32241.2023728327 & 1069.79762716727 \tabularnewline
96 & 40226 & 36827.5292535467 & 3398.47074645328 \tabularnewline
97 & 20504 & 20177.7296872069 & 326.270312793069 \tabularnewline
98 & 23060 & 21537.6912124111 & 1522.30878758886 \tabularnewline
99 & 23562 & 25151.1777029187 & -1589.17770291867 \tabularnewline
100 & 27562 & 25357.0443848281 & 2204.95561517187 \tabularnewline
101 & 23940 & 25592.829966219 & -1652.82996621901 \tabularnewline
102 & 24584 & 25170.749997975 & -586.749997974981 \tabularnewline
103 & 34303 & 29586.8477674131 & 4716.15223258694 \tabularnewline
104 & 25517 & 30840.0201590292 & -5323.02015902921 \tabularnewline
105 & 23494 & 25729.0667639215 & -2235.06676392154 \tabularnewline
106 & 29095 & 26964.1472726212 & 2130.85272737878 \tabularnewline
107 & 32903 & 31967.2418782559 & 935.758121744082 \tabularnewline
108 & 34379 & 37235.0246930085 & -2856.02469300845 \tabularnewline
109 & 16991 & 19615.6145007068 & -2624.61450070684 \tabularnewline
110 & 21109 & 21179.1782690323 & -70.1782690322507 \tabularnewline
111 & 23740 & 23828.4590254018 & -88.4590254017858 \tabularnewline
112 & 25552 & 25015.4167931369 & 536.583206863092 \tabularnewline
113 & 21752 & 24080.97122572 & -2328.97122572002 \tabularnewline
114 & 20294 & 23832.1148185671 & -3538.11481856714 \tabularnewline
115 & 29009 & 29493.7374929715 & -484.737492971457 \tabularnewline
116 & 25500 & 27722.0358357092 & -2222.03583570921 \tabularnewline
117 & 24166 & 23327.5328178823 & 838.4671821177 \tabularnewline
118 & 26960 & 25666.7489292723 & 1293.25107072767 \tabularnewline
119 & 31222 & 30188.9279778528 & 1033.07202214723 \tabularnewline
120 & 38641 & 34287.9581218251 & 4353.04187817489 \tabularnewline
121 & 14672 & 16806.2784949350 & -2134.27849493498 \tabularnewline
122 & 17543 & 19033.2827967697 & -1490.28279676972 \tabularnewline
123 & 25453 & 21597.1379900262 & 3855.86200997376 \tabularnewline
124 & 32683 & 23015.1418892282 & 9667.85811077176 \tabularnewline
125 & 22449 & 21573.3025914227 & 875.6974085773 \tabularnewline
126 & 22316 & 21211.5113536601 & 1104.48864633989 \tabularnewline
127 & 27595 & 28003.1400296920 & -408.140029691971 \tabularnewline
128 & 25451 & 25986.8863214846 & -535.886321484551 \tabularnewline
129 & 25421 & 22699.0854031261 & 2721.91459687386 \tabularnewline
130 & 25288 & 25466.5348022003 & -178.534802200349 \tabularnewline
131 & 32568 & 30147.5746368163 & 2420.42536318365 \tabularnewline
132 & 35110 & 35442.9735209674 & -332.97352096736 \tabularnewline
133 & 16052 & 16332.7712356516 & -280.771235651608 \tabularnewline
134 & 22146 & 18999.6083052742 & 3146.39169472577 \tabularnewline
135 & 21198 & 23387.7289287219 & -2189.72892872186 \tabularnewline
136 & 19543 & 26498.1764753956 & -6955.17647539564 \tabularnewline
137 & 22084 & 22387.029099501 & -303.029099500978 \tabularnewline
138 & 23816 & 22043.7044035262 & 1772.29559647384 \tabularnewline
139 & 29961 & 28420.8166664163 & 1540.18333358365 \tabularnewline
140 & 26773 & 26413.2626719779 & 359.737328022147 \tabularnewline
141 & 26635 & 24047.4704342945 & 2587.52956570546 \tabularnewline
142 & 26972 & 26046.9841803606 & 925.015819639371 \tabularnewline
143 & 30207 & 31487.7356481160 & -1280.73564811604 \tabularnewline
144 & 38687 & 35961.0878441911 & 2725.91215580889 \tabularnewline
145 & 16974 & 16943.254665226 & 30.7453347739938 \tabularnewline
146 & 21697 & 20576.9756461118 & 1120.02435388822 \tabularnewline
147 & 24179 & 23488.0291179545 & 690.970882045498 \tabularnewline
148 & 23757 & 25396.2823582033 & -1639.28235820331 \tabularnewline
149 & 25013 & 23293.0291485370 & 1719.97085146305 \tabularnewline
150 & 24019 & 23688.3419946624 & 330.658005337562 \tabularnewline
151 & 30345 & 30101.1854217337 & 243.814578266276 \tabularnewline
152 & 24488 & 27856.988592583 & -3368.98859258301 \tabularnewline
153 & 25156 & 26088.9516746804 & -932.951674680444 \tabularnewline
154 & 25650 & 27586.6404748639 & -1936.64047486386 \tabularnewline
155 & 30923 & 32350.5607992501 & -1427.56079925007 \tabularnewline
156 & 37240 & 37875.8350444651 & -635.835044465086 \tabularnewline
157 & 17466 & 17992.8745627008 & -526.87456270081 \tabularnewline
158 & 19463 & 21827.3321531516 & -2364.33215315158 \tabularnewline
159 & 24352 & 24431.7658837295 & -79.7658837294657 \tabularnewline
160 & 26805 & 25552.0610804331 & 1252.93891956686 \tabularnewline
161 & 25236 & 24304.3043264481 & 931.695673551876 \tabularnewline
162 & 24735 & 24195.0082500898 & 539.99174991015 \tabularnewline
163 & 29356 & 30476.0121575791 & -1120.01215757914 \tabularnewline
164 & 31234 & 27098.7835184169 & 4135.21648158312 \tabularnewline
165 & 22724 & 26086.9236289532 & -3362.92362895325 \tabularnewline
166 & 28496 & 27210.2017793080 & 1285.79822069205 \tabularnewline
167 & 32857 & 32147.1682272963 & 709.831772703721 \tabularnewline
168 & 37198 & 37932.978553725 & -734.978553724992 \tabularnewline
169 & 13652 & 18086.9126406551 & -4434.91264065506 \tabularnewline
170 & 22784 & 21314.4362565109 & 1469.56374348911 \tabularnewline
171 & 23565 & 24610.2585790204 & -1045.25857902037 \tabularnewline
172 & 26323 & 26071.1845412166 & 251.815458783389 \tabularnewline
173 & 23779 & 24701.188766221 & -922.188766221017 \tabularnewline
174 & 27549 & 24411.4681110077 & 3137.53188899227 \tabularnewline
175 & 29660 & 30276.5482912322 & -616.548291232175 \tabularnewline
176 & 23356 & 28331.986528598 & -4975.986528598 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76770&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]15028[/C][C]14043.3258547009[/C][C]984.674145299134[/C][/ROW]
[ROW][C]14[/C][C]17977[/C][C]16849.9018144656[/C][C]1127.09818553442[/C][/ROW]
[ROW][C]15[/C][C]20008[/C][C]18885.0433829961[/C][C]1122.95661700386[/C][/ROW]
[ROW][C]16[/C][C]21354[/C][C]20474.2678527804[/C][C]879.732147219562[/C][/ROW]
[ROW][C]17[/C][C]19498[/C][C]18836.843568961[/C][C]661.156431039013[/C][/ROW]
[ROW][C]18[/C][C]22125[/C][C]21665.1126697963[/C][C]459.88733020371[/C][/ROW]
[ROW][C]19[/C][C]25817[/C][C]24118.3202488759[/C][C]1698.67975112414[/C][/ROW]
[ROW][C]20[/C][C]28779[/C][C]25198.2723936461[/C][C]3580.72760635391[/C][/ROW]
[ROW][C]21[/C][C]20960[/C][C]22901.4027899613[/C][C]-1941.40278996134[/C][/ROW]
[ROW][C]22[/C][C]22254[/C][C]24450.8865266520[/C][C]-2196.88652665198[/C][/ROW]
[ROW][C]23[/C][C]27392[/C][C]28641.6214163024[/C][C]-1249.62141630243[/C][/ROW]
[ROW][C]24[/C][C]29945[/C][C]31621.3946046582[/C][C]-1676.39460465818[/C][/ROW]
[ROW][C]25[/C][C]16933[/C][C]17112.5335452297[/C][C]-179.533545229693[/C][/ROW]
[ROW][C]26[/C][C]17892[/C][C]19969.2434291384[/C][C]-2077.24342913844[/C][/ROW]
[ROW][C]27[/C][C]20533[/C][C]21937.8491681524[/C][C]-1404.84916815238[/C][/ROW]
[ROW][C]28[/C][C]23569[/C][C]23372.8513091111[/C][C]196.148690888909[/C][/ROW]
[ROW][C]29[/C][C]22417[/C][C]21609.2339050159[/C][C]807.766094984083[/C][/ROW]
[ROW][C]30[/C][C]22084[/C][C]24331.7260094808[/C][C]-2247.72600948080[/C][/ROW]
[ROW][C]31[/C][C]26580[/C][C]26986.2313177364[/C][C]-406.231317736401[/C][/ROW]
[ROW][C]32[/C][C]27454[/C][C]28423.6903866504[/C][C]-969.690386650425[/C][/ROW]
[ROW][C]33[/C][C]24081[/C][C]24373.4342655675[/C][C]-292.434265567535[/C][/ROW]
[ROW][C]34[/C][C]23451[/C][C]25723.5125969617[/C][C]-2272.51259696168[/C][/ROW]
[ROW][C]35[/C][C]28991[/C][C]30011.6404411801[/C][C]-1020.64044118013[/C][/ROW]
[ROW][C]36[/C][C]31386[/C][C]32724.0776112328[/C][C]-1338.07761123275[/C][/ROW]
[ROW][C]37[/C][C]16896[/C][C]18476.2335461904[/C][C]-1580.23354619036[/C][/ROW]
[ROW][C]38[/C][C]20045[/C][C]20625.1787534420[/C][C]-580.17875344204[/C][/ROW]
[ROW][C]39[/C][C]23471[/C][C]22651.5615379194[/C][C]819.43846208063[/C][/ROW]
[ROW][C]40[/C][C]21747[/C][C]24438.2939289779[/C][C]-2691.29392897788[/C][/ROW]
[ROW][C]41[/C][C]25621[/C][C]22634.4352870515[/C][C]2986.56471294846[/C][/ROW]
[ROW][C]42[/C][C]23859[/C][C]24434.8012800507[/C][C]-575.80128005071[/C][/ROW]
[ROW][C]43[/C][C]25500[/C][C]27510.1119087904[/C][C]-2010.11190879042[/C][/ROW]
[ROW][C]44[/C][C]30998[/C][C]28639.9519508515[/C][C]2358.04804914852[/C][/ROW]
[ROW][C]45[/C][C]24475[/C][C]24745.1914492925[/C][C]-270.191449292539[/C][/ROW]
[ROW][C]46[/C][C]23145[/C][C]25475.2444308131[/C][C]-2330.24443081305[/C][/ROW]
[ROW][C]47[/C][C]29701[/C][C]30018.2560450529[/C][C]-317.256045052887[/C][/ROW]
[ROW][C]48[/C][C]34365[/C][C]32581.8026033597[/C][C]1783.19739664027[/C][/ROW]
[ROW][C]49[/C][C]17556[/C][C]18287.5317969618[/C][C]-731.531796961805[/C][/ROW]
[ROW][C]50[/C][C]22077[/C][C]20700.9200583960[/C][C]1376.07994160396[/C][/ROW]
[ROW][C]51[/C][C]25702[/C][C]23144.8319504787[/C][C]2557.16804952134[/C][/ROW]
[ROW][C]52[/C][C]22214[/C][C]24036.4021951834[/C][C]-1822.40219518340[/C][/ROW]
[ROW][C]53[/C][C]26886[/C][C]23828.0679336959[/C][C]3057.93206630407[/C][/ROW]
[ROW][C]54[/C][C]23191[/C][C]24704.3189188362[/C][C]-1513.31891883618[/C][/ROW]
[ROW][C]55[/C][C]27831[/C][C]27403.6550380826[/C][C]427.344961917439[/C][/ROW]
[ROW][C]56[/C][C]35406[/C][C]29820.7408511533[/C][C]5585.25914884671[/C][/ROW]
[ROW][C]57[/C][C]23195[/C][C]25371.2097547596[/C][C]-2176.20975475962[/C][/ROW]
[ROW][C]58[/C][C]25110[/C][C]25590.0257500626[/C][C]-480.025750062643[/C][/ROW]
[ROW][C]59[/C][C]30009[/C][C]30814.1409034512[/C][C]-805.14090345117[/C][/ROW]
[ROW][C]60[/C][C]36242[/C][C]34037.2438428638[/C][C]2204.75615713616[/C][/ROW]
[ROW][C]61[/C][C]18450[/C][C]19170.9021127666[/C][C]-720.902112766584[/C][/ROW]
[ROW][C]62[/C][C]21845[/C][C]22259.8593732385[/C][C]-414.859373238534[/C][/ROW]
[ROW][C]63[/C][C]26488[/C][C]25073.9922360493[/C][C]1414.00776395072[/C][/ROW]
[ROW][C]64[/C][C]22394[/C][C]24822.2085203781[/C][C]-2428.20852037808[/C][/ROW]
[ROW][C]65[/C][C]28057[/C][C]25984.0006976503[/C][C]2072.99930234966[/C][/ROW]
[ROW][C]66[/C][C]25451[/C][C]25646.1000222340[/C][C]-195.100022233961[/C][/ROW]
[ROW][C]67[/C][C]24872[/C][C]28954.2088554446[/C][C]-4082.20885544463[/C][/ROW]
[ROW][C]68[/C][C]33424[/C][C]32695.9086966455[/C][C]728.091303354526[/C][/ROW]
[ROW][C]69[/C][C]24052[/C][C]25994.1240270446[/C][C]-1942.12402704457[/C][/ROW]
[ROW][C]70[/C][C]28449[/C][C]26614.5362616634[/C][C]1834.46373833664[/C][/ROW]
[ROW][C]71[/C][C]33533[/C][C]31757.3471042721[/C][C]1775.65289572786[/C][/ROW]
[ROW][C]72[/C][C]37351[/C][C]35843.2577220665[/C][C]1507.74227793349[/C][/ROW]
[ROW][C]73[/C][C]19969[/C][C]20165.417320889[/C][C]-196.417320889002[/C][/ROW]
[ROW][C]74[/C][C]21701[/C][C]23347.1023896216[/C][C]-1646.10238962161[/C][/ROW]
[ROW][C]75[/C][C]26249[/C][C]26621.5511401614[/C][C]-372.551140161388[/C][/ROW]
[ROW][C]76[/C][C]24493[/C][C]25257.964604262[/C][C]-764.964604261986[/C][/ROW]
[ROW][C]77[/C][C]24603[/C][C]27651.4998137125[/C][C]-3048.49981371247[/C][/ROW]
[ROW][C]78[/C][C]26485[/C][C]26527.1874591475[/C][C]-42.1874591475134[/C][/ROW]
[ROW][C]79[/C][C]30723[/C][C]28698.9526572373[/C][C]2024.04734276273[/C][/ROW]
[ROW][C]80[/C][C]34569[/C][C]33845.1493536221[/C][C]723.85064637789[/C][/ROW]
[ROW][C]81[/C][C]26689[/C][C]26416.7354781968[/C][C]272.264521803158[/C][/ROW]
[ROW][C]82[/C][C]26157[/C][C]28126.4330911603[/C][C]-1969.43309116025[/C][/ROW]
[ROW][C]83[/C][C]32064[/C][C]33166.929882362[/C][C]-1102.92988236200[/C][/ROW]
[ROW][C]84[/C][C]38870[/C][C]37070.3757412369[/C][C]1799.6242587631[/C][/ROW]
[ROW][C]85[/C][C]21337[/C][C]20876.7624643109[/C][C]460.237535689106[/C][/ROW]
[ROW][C]86[/C][C]19419[/C][C]23626.6037536597[/C][C]-4207.60375365971[/C][/ROW]
[ROW][C]87[/C][C]23166[/C][C]27120.4206745899[/C][C]-3954.4206745899[/C][/ROW]
[ROW][C]88[/C][C]28286[/C][C]25459.0405151141[/C][C]2826.9594848859[/C][/ROW]
[ROW][C]89[/C][C]24570[/C][C]27208.7358759055[/C][C]-2638.73587590551[/C][/ROW]
[ROW][C]90[/C][C]24001[/C][C]26828.8374132503[/C][C]-2827.83741325027[/C][/ROW]
[ROW][C]91[/C][C]33151[/C][C]29399.5256277653[/C][C]3751.47437223467[/C][/ROW]
[ROW][C]92[/C][C]24878[/C][C]34129.1181181138[/C][C]-9251.11811811375[/C][/ROW]
[ROW][C]93[/C][C]26804[/C][C]26186.3787642776[/C][C]617.621235722359[/C][/ROW]
[ROW][C]94[/C][C]28967[/C][C]27071.5340754950[/C][C]1895.46592450503[/C][/ROW]
[ROW][C]95[/C][C]33311[/C][C]32241.2023728327[/C][C]1069.79762716727[/C][/ROW]
[ROW][C]96[/C][C]40226[/C][C]36827.5292535467[/C][C]3398.47074645328[/C][/ROW]
[ROW][C]97[/C][C]20504[/C][C]20177.7296872069[/C][C]326.270312793069[/C][/ROW]
[ROW][C]98[/C][C]23060[/C][C]21537.6912124111[/C][C]1522.30878758886[/C][/ROW]
[ROW][C]99[/C][C]23562[/C][C]25151.1777029187[/C][C]-1589.17770291867[/C][/ROW]
[ROW][C]100[/C][C]27562[/C][C]25357.0443848281[/C][C]2204.95561517187[/C][/ROW]
[ROW][C]101[/C][C]23940[/C][C]25592.829966219[/C][C]-1652.82996621901[/C][/ROW]
[ROW][C]102[/C][C]24584[/C][C]25170.749997975[/C][C]-586.749997974981[/C][/ROW]
[ROW][C]103[/C][C]34303[/C][C]29586.8477674131[/C][C]4716.15223258694[/C][/ROW]
[ROW][C]104[/C][C]25517[/C][C]30840.0201590292[/C][C]-5323.02015902921[/C][/ROW]
[ROW][C]105[/C][C]23494[/C][C]25729.0667639215[/C][C]-2235.06676392154[/C][/ROW]
[ROW][C]106[/C][C]29095[/C][C]26964.1472726212[/C][C]2130.85272737878[/C][/ROW]
[ROW][C]107[/C][C]32903[/C][C]31967.2418782559[/C][C]935.758121744082[/C][/ROW]
[ROW][C]108[/C][C]34379[/C][C]37235.0246930085[/C][C]-2856.02469300845[/C][/ROW]
[ROW][C]109[/C][C]16991[/C][C]19615.6145007068[/C][C]-2624.61450070684[/C][/ROW]
[ROW][C]110[/C][C]21109[/C][C]21179.1782690323[/C][C]-70.1782690322507[/C][/ROW]
[ROW][C]111[/C][C]23740[/C][C]23828.4590254018[/C][C]-88.4590254017858[/C][/ROW]
[ROW][C]112[/C][C]25552[/C][C]25015.4167931369[/C][C]536.583206863092[/C][/ROW]
[ROW][C]113[/C][C]21752[/C][C]24080.97122572[/C][C]-2328.97122572002[/C][/ROW]
[ROW][C]114[/C][C]20294[/C][C]23832.1148185671[/C][C]-3538.11481856714[/C][/ROW]
[ROW][C]115[/C][C]29009[/C][C]29493.7374929715[/C][C]-484.737492971457[/C][/ROW]
[ROW][C]116[/C][C]25500[/C][C]27722.0358357092[/C][C]-2222.03583570921[/C][/ROW]
[ROW][C]117[/C][C]24166[/C][C]23327.5328178823[/C][C]838.4671821177[/C][/ROW]
[ROW][C]118[/C][C]26960[/C][C]25666.7489292723[/C][C]1293.25107072767[/C][/ROW]
[ROW][C]119[/C][C]31222[/C][C]30188.9279778528[/C][C]1033.07202214723[/C][/ROW]
[ROW][C]120[/C][C]38641[/C][C]34287.9581218251[/C][C]4353.04187817489[/C][/ROW]
[ROW][C]121[/C][C]14672[/C][C]16806.2784949350[/C][C]-2134.27849493498[/C][/ROW]
[ROW][C]122[/C][C]17543[/C][C]19033.2827967697[/C][C]-1490.28279676972[/C][/ROW]
[ROW][C]123[/C][C]25453[/C][C]21597.1379900262[/C][C]3855.86200997376[/C][/ROW]
[ROW][C]124[/C][C]32683[/C][C]23015.1418892282[/C][C]9667.85811077176[/C][/ROW]
[ROW][C]125[/C][C]22449[/C][C]21573.3025914227[/C][C]875.6974085773[/C][/ROW]
[ROW][C]126[/C][C]22316[/C][C]21211.5113536601[/C][C]1104.48864633989[/C][/ROW]
[ROW][C]127[/C][C]27595[/C][C]28003.1400296920[/C][C]-408.140029691971[/C][/ROW]
[ROW][C]128[/C][C]25451[/C][C]25986.8863214846[/C][C]-535.886321484551[/C][/ROW]
[ROW][C]129[/C][C]25421[/C][C]22699.0854031261[/C][C]2721.91459687386[/C][/ROW]
[ROW][C]130[/C][C]25288[/C][C]25466.5348022003[/C][C]-178.534802200349[/C][/ROW]
[ROW][C]131[/C][C]32568[/C][C]30147.5746368163[/C][C]2420.42536318365[/C][/ROW]
[ROW][C]132[/C][C]35110[/C][C]35442.9735209674[/C][C]-332.97352096736[/C][/ROW]
[ROW][C]133[/C][C]16052[/C][C]16332.7712356516[/C][C]-280.771235651608[/C][/ROW]
[ROW][C]134[/C][C]22146[/C][C]18999.6083052742[/C][C]3146.39169472577[/C][/ROW]
[ROW][C]135[/C][C]21198[/C][C]23387.7289287219[/C][C]-2189.72892872186[/C][/ROW]
[ROW][C]136[/C][C]19543[/C][C]26498.1764753956[/C][C]-6955.17647539564[/C][/ROW]
[ROW][C]137[/C][C]22084[/C][C]22387.029099501[/C][C]-303.029099500978[/C][/ROW]
[ROW][C]138[/C][C]23816[/C][C]22043.7044035262[/C][C]1772.29559647384[/C][/ROW]
[ROW][C]139[/C][C]29961[/C][C]28420.8166664163[/C][C]1540.18333358365[/C][/ROW]
[ROW][C]140[/C][C]26773[/C][C]26413.2626719779[/C][C]359.737328022147[/C][/ROW]
[ROW][C]141[/C][C]26635[/C][C]24047.4704342945[/C][C]2587.52956570546[/C][/ROW]
[ROW][C]142[/C][C]26972[/C][C]26046.9841803606[/C][C]925.015819639371[/C][/ROW]
[ROW][C]143[/C][C]30207[/C][C]31487.7356481160[/C][C]-1280.73564811604[/C][/ROW]
[ROW][C]144[/C][C]38687[/C][C]35961.0878441911[/C][C]2725.91215580889[/C][/ROW]
[ROW][C]145[/C][C]16974[/C][C]16943.254665226[/C][C]30.7453347739938[/C][/ROW]
[ROW][C]146[/C][C]21697[/C][C]20576.9756461118[/C][C]1120.02435388822[/C][/ROW]
[ROW][C]147[/C][C]24179[/C][C]23488.0291179545[/C][C]690.970882045498[/C][/ROW]
[ROW][C]148[/C][C]23757[/C][C]25396.2823582033[/C][C]-1639.28235820331[/C][/ROW]
[ROW][C]149[/C][C]25013[/C][C]23293.0291485370[/C][C]1719.97085146305[/C][/ROW]
[ROW][C]150[/C][C]24019[/C][C]23688.3419946624[/C][C]330.658005337562[/C][/ROW]
[ROW][C]151[/C][C]30345[/C][C]30101.1854217337[/C][C]243.814578266276[/C][/ROW]
[ROW][C]152[/C][C]24488[/C][C]27856.988592583[/C][C]-3368.98859258301[/C][/ROW]
[ROW][C]153[/C][C]25156[/C][C]26088.9516746804[/C][C]-932.951674680444[/C][/ROW]
[ROW][C]154[/C][C]25650[/C][C]27586.6404748639[/C][C]-1936.64047486386[/C][/ROW]
[ROW][C]155[/C][C]30923[/C][C]32350.5607992501[/C][C]-1427.56079925007[/C][/ROW]
[ROW][C]156[/C][C]37240[/C][C]37875.8350444651[/C][C]-635.835044465086[/C][/ROW]
[ROW][C]157[/C][C]17466[/C][C]17992.8745627008[/C][C]-526.87456270081[/C][/ROW]
[ROW][C]158[/C][C]19463[/C][C]21827.3321531516[/C][C]-2364.33215315158[/C][/ROW]
[ROW][C]159[/C][C]24352[/C][C]24431.7658837295[/C][C]-79.7658837294657[/C][/ROW]
[ROW][C]160[/C][C]26805[/C][C]25552.0610804331[/C][C]1252.93891956686[/C][/ROW]
[ROW][C]161[/C][C]25236[/C][C]24304.3043264481[/C][C]931.695673551876[/C][/ROW]
[ROW][C]162[/C][C]24735[/C][C]24195.0082500898[/C][C]539.99174991015[/C][/ROW]
[ROW][C]163[/C][C]29356[/C][C]30476.0121575791[/C][C]-1120.01215757914[/C][/ROW]
[ROW][C]164[/C][C]31234[/C][C]27098.7835184169[/C][C]4135.21648158312[/C][/ROW]
[ROW][C]165[/C][C]22724[/C][C]26086.9236289532[/C][C]-3362.92362895325[/C][/ROW]
[ROW][C]166[/C][C]28496[/C][C]27210.2017793080[/C][C]1285.79822069205[/C][/ROW]
[ROW][C]167[/C][C]32857[/C][C]32147.1682272963[/C][C]709.831772703721[/C][/ROW]
[ROW][C]168[/C][C]37198[/C][C]37932.978553725[/C][C]-734.978553724992[/C][/ROW]
[ROW][C]169[/C][C]13652[/C][C]18086.9126406551[/C][C]-4434.91264065506[/C][/ROW]
[ROW][C]170[/C][C]22784[/C][C]21314.4362565109[/C][C]1469.56374348911[/C][/ROW]
[ROW][C]171[/C][C]23565[/C][C]24610.2585790204[/C][C]-1045.25857902037[/C][/ROW]
[ROW][C]172[/C][C]26323[/C][C]26071.1845412166[/C][C]251.815458783389[/C][/ROW]
[ROW][C]173[/C][C]23779[/C][C]24701.188766221[/C][C]-922.188766221017[/C][/ROW]
[ROW][C]174[/C][C]27549[/C][C]24411.4681110077[/C][C]3137.53188899227[/C][/ROW]
[ROW][C]175[/C][C]29660[/C][C]30276.5482912322[/C][C]-616.548291232175[/C][/ROW]
[ROW][C]176[/C][C]23356[/C][C]28331.986528598[/C][C]-4975.986528598[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76770&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76770&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
131502814043.3258547009984.674145299134
141797716849.90181446561127.09818553442
152000818885.04338299611122.95661700386
162135420474.2678527804879.732147219562
171949818836.843568961661.156431039013
182212521665.1126697963459.88733020371
192581724118.32024887591698.67975112414
202877925198.27239364613580.72760635391
212096022901.4027899613-1941.40278996134
222225424450.8865266520-2196.88652665198
232739228641.6214163024-1249.62141630243
242994531621.3946046582-1676.39460465818
251693317112.5335452297-179.533545229693
261789219969.2434291384-2077.24342913844
272053321937.8491681524-1404.84916815238
282356923372.8513091111196.148690888909
292241721609.2339050159807.766094984083
302208424331.7260094808-2247.72600948080
312658026986.2313177364-406.231317736401
322745428423.6903866504-969.690386650425
332408124373.4342655675-292.434265567535
342345125723.5125969617-2272.51259696168
352899130011.6404411801-1020.64044118013
363138632724.0776112328-1338.07761123275
371689618476.2335461904-1580.23354619036
382004520625.1787534420-580.17875344204
392347122651.5615379194819.43846208063
402174724438.2939289779-2691.29392897788
412562122634.43528705152986.56471294846
422385924434.8012800507-575.80128005071
432550027510.1119087904-2010.11190879042
443099828639.95195085152358.04804914852
452447524745.1914492925-270.191449292539
462314525475.2444308131-2330.24443081305
472970130018.2560450529-317.256045052887
483436532581.80260335971783.19739664027
491755618287.5317969618-731.531796961805
502207720700.92005839601376.07994160396
512570223144.83195047872557.16804952134
522221424036.4021951834-1822.40219518340
532688623828.06793369593057.93206630407
542319124704.3189188362-1513.31891883618
552783127403.6550380826427.344961917439
563540629820.74085115335585.25914884671
572319525371.2097547596-2176.20975475962
582511025590.0257500626-480.025750062643
593000930814.1409034512-805.14090345117
603624234037.24384286382204.75615713616
611845019170.9021127666-720.902112766584
622184522259.8593732385-414.859373238534
632648825073.99223604931414.00776395072
642239424822.2085203781-2428.20852037808
652805725984.00069765032072.99930234966
662545125646.1000222340-195.100022233961
672487228954.2088554446-4082.20885544463
683342432695.9086966455728.091303354526
692405225994.1240270446-1942.12402704457
702844926614.53626166341834.46373833664
713353331757.34710427211775.65289572786
723735135843.25772206651507.74227793349
731996920165.417320889-196.417320889002
742170123347.1023896216-1646.10238962161
752624926621.5511401614-372.551140161388
762449325257.964604262-764.964604261986
772460327651.4998137125-3048.49981371247
782648526527.1874591475-42.1874591475134
793072328698.95265723732024.04734276273
803456933845.1493536221723.85064637789
812668926416.7354781968272.264521803158
822615728126.4330911603-1969.43309116025
833206433166.929882362-1102.92988236200
843887037070.37574123691799.6242587631
852133720876.7624643109460.237535689106
861941923626.6037536597-4207.60375365971
872316627120.4206745899-3954.4206745899
882828625459.04051511412826.9594848859
892457027208.7358759055-2638.73587590551
902400126828.8374132503-2827.83741325027
913315129399.52562776533751.47437223467
922487834129.1181181138-9251.11811811375
932680426186.3787642776617.621235722359
942896727071.53407549501895.46592450503
953331132241.20237283271069.79762716727
964022636827.52925354673398.47074645328
972050420177.7296872069326.270312793069
982306021537.69121241111522.30878758886
992356225151.1777029187-1589.17770291867
1002756225357.04438482812204.95561517187
1012394025592.829966219-1652.82996621901
1022458425170.749997975-586.749997974981
1033430329586.84776741314716.15223258694
1042551730840.0201590292-5323.02015902921
1052349425729.0667639215-2235.06676392154
1062909526964.14727262122130.85272737878
1073290331967.2418782559935.758121744082
1083437937235.0246930085-2856.02469300845
1091699119615.6145007068-2624.61450070684
1102110921179.1782690323-70.1782690322507
1112374023828.4590254018-88.4590254017858
1122555225015.4167931369536.583206863092
1132175224080.97122572-2328.97122572002
1142029423832.1148185671-3538.11481856714
1152900929493.7374929715-484.737492971457
1162550027722.0358357092-2222.03583570921
1172416623327.5328178823838.4671821177
1182696025666.74892927231293.25107072767
1193122230188.92797785281033.07202214723
1203864134287.95812182514353.04187817489
1211467216806.2784949350-2134.27849493498
1221754319033.2827967697-1490.28279676972
1232545321597.13799002623855.86200997376
1243268323015.14188922829667.85811077176
1252244921573.3025914227875.6974085773
1262231621211.51135366011104.48864633989
1272759528003.1400296920-408.140029691971
1282545125986.8863214846-535.886321484551
1292542122699.08540312612721.91459687386
1302528825466.5348022003-178.534802200349
1313256830147.57463681632420.42536318365
1323511035442.9735209674-332.97352096736
1331605216332.7712356516-280.771235651608
1342214618999.60830527423146.39169472577
1352119823387.7289287219-2189.72892872186
1361954326498.1764753956-6955.17647539564
1372208422387.029099501-303.029099500978
1382381622043.70440352621772.29559647384
1392996128420.81666641631540.18333358365
1402677326413.2626719779359.737328022147
1412663524047.47043429452587.52956570546
1422697226046.9841803606925.015819639371
1433020731487.7356481160-1280.73564811604
1443868735961.08784419112725.91215580889
1451697416943.25466522630.7453347739938
1462169720576.97564611181120.02435388822
1472417923488.0291179545690.970882045498
1482375725396.2823582033-1639.28235820331
1492501323293.02914853701719.97085146305
1502401923688.3419946624330.658005337562
1513034530101.1854217337243.814578266276
1522448827856.988592583-3368.98859258301
1532515626088.9516746804-932.951674680444
1542565027586.6404748639-1936.64047486386
1553092332350.5607992501-1427.56079925007
1563724037875.8350444651-635.835044465086
1571746617992.8745627008-526.87456270081
1581946321827.3321531516-2364.33215315158
1592435224431.7658837295-79.7658837294657
1602680525552.06108043311252.93891956686
1612523624304.3043264481931.695673551876
1622473524195.0082500898539.99174991015
1632935630476.0121575791-1120.01215757914
1643123427098.78351841694135.21648158312
1652272426086.9236289532-3362.92362895325
1662849627210.20177930801285.79822069205
1673285732147.1682272963709.831772703721
1683719837932.978553725-734.978553724992
1691365218086.9126406551-4434.91264065506
1702278421314.43625651091469.56374348911
1712356524610.2585790204-1045.25857902037
1722632326071.1845412166251.815458783389
1732377924701.188766221-922.188766221017
1742754924411.46811100773137.53188899227
1752966030276.5482912322-616.548291232175
1762335628331.986528598-4975.986528598







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
17725010.282067519020467.644298853229552.9198361848
17827371.652136516922826.968679368331916.3355936655
17932034.679123705327485.707687678236583.6505597325
18037310.770075146532754.454663931841867.0854863612
18116376.856724552611809.338059395720944.3753897095
18221243.691186479816660.323096867625827.0592760919
18323776.648531699619172.021400187328381.2756632119
18425564.799046642820932.771120178930196.8269731066
18523826.618560591619160.355586052728492.8815351305
18624620.766324629619912.789545043329328.7431042160
18729339.948950997824582.191036907534097.7068650881
18826155.681632987421339.549656776930971.8136091979

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
177 & 25010.2820675190 & 20467.6442988532 & 29552.9198361848 \tabularnewline
178 & 27371.6521365169 & 22826.9686793683 & 31916.3355936655 \tabularnewline
179 & 32034.6791237053 & 27485.7076876782 & 36583.6505597325 \tabularnewline
180 & 37310.7700751465 & 32754.4546639318 & 41867.0854863612 \tabularnewline
181 & 16376.8567245526 & 11809.3380593957 & 20944.3753897095 \tabularnewline
182 & 21243.6911864798 & 16660.3230968676 & 25827.0592760919 \tabularnewline
183 & 23776.6485316996 & 19172.0214001873 & 28381.2756632119 \tabularnewline
184 & 25564.7990466428 & 20932.7711201789 & 30196.8269731066 \tabularnewline
185 & 23826.6185605916 & 19160.3555860527 & 28492.8815351305 \tabularnewline
186 & 24620.7663246296 & 19912.7895450433 & 29328.7431042160 \tabularnewline
187 & 29339.9489509978 & 24582.1910369075 & 34097.7068650881 \tabularnewline
188 & 26155.6816329874 & 21339.5496567769 & 30971.8136091979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76770&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]177[/C][C]25010.2820675190[/C][C]20467.6442988532[/C][C]29552.9198361848[/C][/ROW]
[ROW][C]178[/C][C]27371.6521365169[/C][C]22826.9686793683[/C][C]31916.3355936655[/C][/ROW]
[ROW][C]179[/C][C]32034.6791237053[/C][C]27485.7076876782[/C][C]36583.6505597325[/C][/ROW]
[ROW][C]180[/C][C]37310.7700751465[/C][C]32754.4546639318[/C][C]41867.0854863612[/C][/ROW]
[ROW][C]181[/C][C]16376.8567245526[/C][C]11809.3380593957[/C][C]20944.3753897095[/C][/ROW]
[ROW][C]182[/C][C]21243.6911864798[/C][C]16660.3230968676[/C][C]25827.0592760919[/C][/ROW]
[ROW][C]183[/C][C]23776.6485316996[/C][C]19172.0214001873[/C][C]28381.2756632119[/C][/ROW]
[ROW][C]184[/C][C]25564.7990466428[/C][C]20932.7711201789[/C][C]30196.8269731066[/C][/ROW]
[ROW][C]185[/C][C]23826.6185605916[/C][C]19160.3555860527[/C][C]28492.8815351305[/C][/ROW]
[ROW][C]186[/C][C]24620.7663246296[/C][C]19912.7895450433[/C][C]29328.7431042160[/C][/ROW]
[ROW][C]187[/C][C]29339.9489509978[/C][C]24582.1910369075[/C][C]34097.7068650881[/C][/ROW]
[ROW][C]188[/C][C]26155.6816329874[/C][C]21339.5496567769[/C][C]30971.8136091979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76770&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76770&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
17725010.282067519020467.644298853229552.9198361848
17827371.652136516922826.968679368331916.3355936655
17932034.679123705327485.707687678236583.6505597325
18037310.770075146532754.454663931841867.0854863612
18116376.856724552611809.338059395720944.3753897095
18221243.691186479816660.323096867625827.0592760919
18323776.648531699619172.021400187328381.2756632119
18425564.799046642820932.771120178930196.8269731066
18523826.618560591619160.355586052728492.8815351305
18624620.766324629619912.789545043329328.7431042160
18729339.948950997824582.191036907534097.7068650881
18826155.681632987421339.549656776930971.8136091979



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')