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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 computationWed, 26 May 2010 20:15:37 +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/26/t12749049710yax9lqw3pobgfc.htm/, Retrieved Fri, 03 May 2024 10:16:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76560, Retrieved Fri, 03 May 2024 10:16:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact114
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [Exponential Smoot...] [2010-05-26 20:12:14] [74be16979710d4c4e7c6647856088456]
-    D    [Exponential Smoothing] [Exponential Smoot...] [2010-05-26 20:15:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
154
96
73
49
36
59
95
169
210
278
298
245
200
118
90
79
78
91
167
169
289
347
375
203
223
104
107
85
75
99
135
211
335
460
488
326
346
261
224
141
148
145
223
272
445
560
612
467
518
404
300
210
196
186
247
343
464
680
711
610
613
392
273
322
189
257
324
404
677
858
895
664
628
308
324
248
272




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76560&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76560&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76560&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.665421046338253
beta0.000770639574476133
gamma0.646362889708687

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.665421046338253 \tabularnewline
beta & 0.000770639574476133 \tabularnewline
gamma & 0.646362889708687 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76560&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]0.665421046338253[/C][/ROW]
[ROW][C]beta[/C][C]0.000770639574476133[/C][/ROW]
[ROW][C]gamma[/C][C]0.646362889708687[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76560&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76560&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
alpha0.665421046338253
beta0.000770639574476133
gamma0.646362889708687







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13200174.88890021154925.1110997884505
14118113.4424807039074.55751929609274
159088.94111402466691.05888597533313
167977.49393425490651.50606574509352
177876.40370088727731.59629911272273
189191.3597275152543-0.359727515254335
19167120.88542146893546.1145785310648
20169268.487229560383-99.4872295603834
21289253.41573863919235.5842613608075
22347368.383920418892-21.383920418892
23375378.934325820553-3.93432582055277
24203308.713097295575-105.713097295575
25223199.10630445183123.8936955481693
26104124.603942701796-20.6039427017963
2710784.263695340482222.7363046595178
288585.8858200729584-0.885820072958381
297582.9186970356463-7.91869703564635
309991.07981579092887.92018420907122
31135136.197133275263-1.19713327526318
32211201.6036320696029.39636793039784
33335298.73518025213936.2648197478606
34460411.34751636603848.6524836339619
35488478.2317715759.76822842500002
36326358.967935841707-32.9679358417073
37346316.46116369879629.5388363012036
38261181.38218083135479.6178191686458
39224192.52096206387131.4790379361294
40141173.826130322579-32.8261303225794
41148143.7264033800524.27359661994774
42145177.386175713433-32.3861757134329
43223214.6890219418148.3109780581864
44272329.627395624004-57.627395624004
45445422.77489431988422.2251056801161
46560555.1921141502324.8078858497679
47612588.96666351729623.0333364827039
48467435.03974141722431.9602585827760
49518444.37511821383573.6248817861647
50404279.402756500690124.597243499310
51300285.26784083580514.7321591641948
52210221.491527417580-11.4915274175803
53196212.812424030486-16.8124240304861
54186231.005870534258-45.0058705342578
55247291.589575589157-44.5895755891567
56343371.639438220566-28.6394382205659
57464539.197984617746-75.1979846177461
58680614.37751631248865.622483687512
59711697.34907839274713.6509216072531
60610511.30569197414598.6943080258552
61613570.26614953142542.7338504685746
62392352.41544732327839.5845526767223
63273280.599741530896-7.59974153089615
64322202.334592276207119.665407723793
65189278.325554955421-89.3255549554209
66257242.85630361628514.1436963837146
67324369.618094190125-45.6180941901252
68404489.926685592868-85.9266855928677
69677650.06033950496126.939660495039
70858884.038735958918-26.0387359589176
71895901.01453409839-6.01453409839064
72664669.215155406219-5.21515540621851
73628643.787384815201-15.7873848152011
74308375.268172582017-67.2681725820173
75324238.26294758328585.7370524167154
76248238.0476122865829.95238771341752
77272201.92134972625870.0786502737423

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 200 & 174.888900211549 & 25.1110997884505 \tabularnewline
14 & 118 & 113.442480703907 & 4.55751929609274 \tabularnewline
15 & 90 & 88.9411140246669 & 1.05888597533313 \tabularnewline
16 & 79 & 77.4939342549065 & 1.50606574509352 \tabularnewline
17 & 78 & 76.4037008872773 & 1.59629911272273 \tabularnewline
18 & 91 & 91.3597275152543 & -0.359727515254335 \tabularnewline
19 & 167 & 120.885421468935 & 46.1145785310648 \tabularnewline
20 & 169 & 268.487229560383 & -99.4872295603834 \tabularnewline
21 & 289 & 253.415738639192 & 35.5842613608075 \tabularnewline
22 & 347 & 368.383920418892 & -21.383920418892 \tabularnewline
23 & 375 & 378.934325820553 & -3.93432582055277 \tabularnewline
24 & 203 & 308.713097295575 & -105.713097295575 \tabularnewline
25 & 223 & 199.106304451831 & 23.8936955481693 \tabularnewline
26 & 104 & 124.603942701796 & -20.6039427017963 \tabularnewline
27 & 107 & 84.2636953404822 & 22.7363046595178 \tabularnewline
28 & 85 & 85.8858200729584 & -0.885820072958381 \tabularnewline
29 & 75 & 82.9186970356463 & -7.91869703564635 \tabularnewline
30 & 99 & 91.0798157909288 & 7.92018420907122 \tabularnewline
31 & 135 & 136.197133275263 & -1.19713327526318 \tabularnewline
32 & 211 & 201.603632069602 & 9.39636793039784 \tabularnewline
33 & 335 & 298.735180252139 & 36.2648197478606 \tabularnewline
34 & 460 & 411.347516366038 & 48.6524836339619 \tabularnewline
35 & 488 & 478.231771575 & 9.76822842500002 \tabularnewline
36 & 326 & 358.967935841707 & -32.9679358417073 \tabularnewline
37 & 346 & 316.461163698796 & 29.5388363012036 \tabularnewline
38 & 261 & 181.382180831354 & 79.6178191686458 \tabularnewline
39 & 224 & 192.520962063871 & 31.4790379361294 \tabularnewline
40 & 141 & 173.826130322579 & -32.8261303225794 \tabularnewline
41 & 148 & 143.726403380052 & 4.27359661994774 \tabularnewline
42 & 145 & 177.386175713433 & -32.3861757134329 \tabularnewline
43 & 223 & 214.689021941814 & 8.3109780581864 \tabularnewline
44 & 272 & 329.627395624004 & -57.627395624004 \tabularnewline
45 & 445 & 422.774894319884 & 22.2251056801161 \tabularnewline
46 & 560 & 555.192114150232 & 4.8078858497679 \tabularnewline
47 & 612 & 588.966663517296 & 23.0333364827039 \tabularnewline
48 & 467 & 435.039741417224 & 31.9602585827760 \tabularnewline
49 & 518 & 444.375118213835 & 73.6248817861647 \tabularnewline
50 & 404 & 279.402756500690 & 124.597243499310 \tabularnewline
51 & 300 & 285.267840835805 & 14.7321591641948 \tabularnewline
52 & 210 & 221.491527417580 & -11.4915274175803 \tabularnewline
53 & 196 & 212.812424030486 & -16.8124240304861 \tabularnewline
54 & 186 & 231.005870534258 & -45.0058705342578 \tabularnewline
55 & 247 & 291.589575589157 & -44.5895755891567 \tabularnewline
56 & 343 & 371.639438220566 & -28.6394382205659 \tabularnewline
57 & 464 & 539.197984617746 & -75.1979846177461 \tabularnewline
58 & 680 & 614.377516312488 & 65.622483687512 \tabularnewline
59 & 711 & 697.349078392747 & 13.6509216072531 \tabularnewline
60 & 610 & 511.305691974145 & 98.6943080258552 \tabularnewline
61 & 613 & 570.266149531425 & 42.7338504685746 \tabularnewline
62 & 392 & 352.415447323278 & 39.5845526767223 \tabularnewline
63 & 273 & 280.599741530896 & -7.59974153089615 \tabularnewline
64 & 322 & 202.334592276207 & 119.665407723793 \tabularnewline
65 & 189 & 278.325554955421 & -89.3255549554209 \tabularnewline
66 & 257 & 242.856303616285 & 14.1436963837146 \tabularnewline
67 & 324 & 369.618094190125 & -45.6180941901252 \tabularnewline
68 & 404 & 489.926685592868 & -85.9266855928677 \tabularnewline
69 & 677 & 650.060339504961 & 26.939660495039 \tabularnewline
70 & 858 & 884.038735958918 & -26.0387359589176 \tabularnewline
71 & 895 & 901.01453409839 & -6.01453409839064 \tabularnewline
72 & 664 & 669.215155406219 & -5.21515540621851 \tabularnewline
73 & 628 & 643.787384815201 & -15.7873848152011 \tabularnewline
74 & 308 & 375.268172582017 & -67.2681725820173 \tabularnewline
75 & 324 & 238.262947583285 & 85.7370524167154 \tabularnewline
76 & 248 & 238.047612286582 & 9.95238771341752 \tabularnewline
77 & 272 & 201.921349726258 & 70.0786502737423 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76560&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]200[/C][C]174.888900211549[/C][C]25.1110997884505[/C][/ROW]
[ROW][C]14[/C][C]118[/C][C]113.442480703907[/C][C]4.55751929609274[/C][/ROW]
[ROW][C]15[/C][C]90[/C][C]88.9411140246669[/C][C]1.05888597533313[/C][/ROW]
[ROW][C]16[/C][C]79[/C][C]77.4939342549065[/C][C]1.50606574509352[/C][/ROW]
[ROW][C]17[/C][C]78[/C][C]76.4037008872773[/C][C]1.59629911272273[/C][/ROW]
[ROW][C]18[/C][C]91[/C][C]91.3597275152543[/C][C]-0.359727515254335[/C][/ROW]
[ROW][C]19[/C][C]167[/C][C]120.885421468935[/C][C]46.1145785310648[/C][/ROW]
[ROW][C]20[/C][C]169[/C][C]268.487229560383[/C][C]-99.4872295603834[/C][/ROW]
[ROW][C]21[/C][C]289[/C][C]253.415738639192[/C][C]35.5842613608075[/C][/ROW]
[ROW][C]22[/C][C]347[/C][C]368.383920418892[/C][C]-21.383920418892[/C][/ROW]
[ROW][C]23[/C][C]375[/C][C]378.934325820553[/C][C]-3.93432582055277[/C][/ROW]
[ROW][C]24[/C][C]203[/C][C]308.713097295575[/C][C]-105.713097295575[/C][/ROW]
[ROW][C]25[/C][C]223[/C][C]199.106304451831[/C][C]23.8936955481693[/C][/ROW]
[ROW][C]26[/C][C]104[/C][C]124.603942701796[/C][C]-20.6039427017963[/C][/ROW]
[ROW][C]27[/C][C]107[/C][C]84.2636953404822[/C][C]22.7363046595178[/C][/ROW]
[ROW][C]28[/C][C]85[/C][C]85.8858200729584[/C][C]-0.885820072958381[/C][/ROW]
[ROW][C]29[/C][C]75[/C][C]82.9186970356463[/C][C]-7.91869703564635[/C][/ROW]
[ROW][C]30[/C][C]99[/C][C]91.0798157909288[/C][C]7.92018420907122[/C][/ROW]
[ROW][C]31[/C][C]135[/C][C]136.197133275263[/C][C]-1.19713327526318[/C][/ROW]
[ROW][C]32[/C][C]211[/C][C]201.603632069602[/C][C]9.39636793039784[/C][/ROW]
[ROW][C]33[/C][C]335[/C][C]298.735180252139[/C][C]36.2648197478606[/C][/ROW]
[ROW][C]34[/C][C]460[/C][C]411.347516366038[/C][C]48.6524836339619[/C][/ROW]
[ROW][C]35[/C][C]488[/C][C]478.231771575[/C][C]9.76822842500002[/C][/ROW]
[ROW][C]36[/C][C]326[/C][C]358.967935841707[/C][C]-32.9679358417073[/C][/ROW]
[ROW][C]37[/C][C]346[/C][C]316.461163698796[/C][C]29.5388363012036[/C][/ROW]
[ROW][C]38[/C][C]261[/C][C]181.382180831354[/C][C]79.6178191686458[/C][/ROW]
[ROW][C]39[/C][C]224[/C][C]192.520962063871[/C][C]31.4790379361294[/C][/ROW]
[ROW][C]40[/C][C]141[/C][C]173.826130322579[/C][C]-32.8261303225794[/C][/ROW]
[ROW][C]41[/C][C]148[/C][C]143.726403380052[/C][C]4.27359661994774[/C][/ROW]
[ROW][C]42[/C][C]145[/C][C]177.386175713433[/C][C]-32.3861757134329[/C][/ROW]
[ROW][C]43[/C][C]223[/C][C]214.689021941814[/C][C]8.3109780581864[/C][/ROW]
[ROW][C]44[/C][C]272[/C][C]329.627395624004[/C][C]-57.627395624004[/C][/ROW]
[ROW][C]45[/C][C]445[/C][C]422.774894319884[/C][C]22.2251056801161[/C][/ROW]
[ROW][C]46[/C][C]560[/C][C]555.192114150232[/C][C]4.8078858497679[/C][/ROW]
[ROW][C]47[/C][C]612[/C][C]588.966663517296[/C][C]23.0333364827039[/C][/ROW]
[ROW][C]48[/C][C]467[/C][C]435.039741417224[/C][C]31.9602585827760[/C][/ROW]
[ROW][C]49[/C][C]518[/C][C]444.375118213835[/C][C]73.6248817861647[/C][/ROW]
[ROW][C]50[/C][C]404[/C][C]279.402756500690[/C][C]124.597243499310[/C][/ROW]
[ROW][C]51[/C][C]300[/C][C]285.267840835805[/C][C]14.7321591641948[/C][/ROW]
[ROW][C]52[/C][C]210[/C][C]221.491527417580[/C][C]-11.4915274175803[/C][/ROW]
[ROW][C]53[/C][C]196[/C][C]212.812424030486[/C][C]-16.8124240304861[/C][/ROW]
[ROW][C]54[/C][C]186[/C][C]231.005870534258[/C][C]-45.0058705342578[/C][/ROW]
[ROW][C]55[/C][C]247[/C][C]291.589575589157[/C][C]-44.5895755891567[/C][/ROW]
[ROW][C]56[/C][C]343[/C][C]371.639438220566[/C][C]-28.6394382205659[/C][/ROW]
[ROW][C]57[/C][C]464[/C][C]539.197984617746[/C][C]-75.1979846177461[/C][/ROW]
[ROW][C]58[/C][C]680[/C][C]614.377516312488[/C][C]65.622483687512[/C][/ROW]
[ROW][C]59[/C][C]711[/C][C]697.349078392747[/C][C]13.6509216072531[/C][/ROW]
[ROW][C]60[/C][C]610[/C][C]511.305691974145[/C][C]98.6943080258552[/C][/ROW]
[ROW][C]61[/C][C]613[/C][C]570.266149531425[/C][C]42.7338504685746[/C][/ROW]
[ROW][C]62[/C][C]392[/C][C]352.415447323278[/C][C]39.5845526767223[/C][/ROW]
[ROW][C]63[/C][C]273[/C][C]280.599741530896[/C][C]-7.59974153089615[/C][/ROW]
[ROW][C]64[/C][C]322[/C][C]202.334592276207[/C][C]119.665407723793[/C][/ROW]
[ROW][C]65[/C][C]189[/C][C]278.325554955421[/C][C]-89.3255549554209[/C][/ROW]
[ROW][C]66[/C][C]257[/C][C]242.856303616285[/C][C]14.1436963837146[/C][/ROW]
[ROW][C]67[/C][C]324[/C][C]369.618094190125[/C][C]-45.6180941901252[/C][/ROW]
[ROW][C]68[/C][C]404[/C][C]489.926685592868[/C][C]-85.9266855928677[/C][/ROW]
[ROW][C]69[/C][C]677[/C][C]650.060339504961[/C][C]26.939660495039[/C][/ROW]
[ROW][C]70[/C][C]858[/C][C]884.038735958918[/C][C]-26.0387359589176[/C][/ROW]
[ROW][C]71[/C][C]895[/C][C]901.01453409839[/C][C]-6.01453409839064[/C][/ROW]
[ROW][C]72[/C][C]664[/C][C]669.215155406219[/C][C]-5.21515540621851[/C][/ROW]
[ROW][C]73[/C][C]628[/C][C]643.787384815201[/C][C]-15.7873848152011[/C][/ROW]
[ROW][C]74[/C][C]308[/C][C]375.268172582017[/C][C]-67.2681725820173[/C][/ROW]
[ROW][C]75[/C][C]324[/C][C]238.262947583285[/C][C]85.7370524167154[/C][/ROW]
[ROW][C]76[/C][C]248[/C][C]238.047612286582[/C][C]9.95238771341752[/C][/ROW]
[ROW][C]77[/C][C]272[/C][C]201.921349726258[/C][C]70.0786502737423[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76560&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76560&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
13200174.88890021154925.1110997884505
14118113.4424807039074.55751929609274
159088.94111402466691.05888597533313
167977.49393425490651.50606574509352
177876.40370088727731.59629911272273
189191.3597275152543-0.359727515254335
19167120.88542146893546.1145785310648
20169268.487229560383-99.4872295603834
21289253.41573863919235.5842613608075
22347368.383920418892-21.383920418892
23375378.934325820553-3.93432582055277
24203308.713097295575-105.713097295575
25223199.10630445183123.8936955481693
26104124.603942701796-20.6039427017963
2710784.263695340482222.7363046595178
288585.8858200729584-0.885820072958381
297582.9186970356463-7.91869703564635
309991.07981579092887.92018420907122
31135136.197133275263-1.19713327526318
32211201.6036320696029.39636793039784
33335298.73518025213936.2648197478606
34460411.34751636603848.6524836339619
35488478.2317715759.76822842500002
36326358.967935841707-32.9679358417073
37346316.46116369879629.5388363012036
38261181.38218083135479.6178191686458
39224192.52096206387131.4790379361294
40141173.826130322579-32.8261303225794
41148143.7264033800524.27359661994774
42145177.386175713433-32.3861757134329
43223214.6890219418148.3109780581864
44272329.627395624004-57.627395624004
45445422.77489431988422.2251056801161
46560555.1921141502324.8078858497679
47612588.96666351729623.0333364827039
48467435.03974141722431.9602585827760
49518444.37511821383573.6248817861647
50404279.402756500690124.597243499310
51300285.26784083580514.7321591641948
52210221.491527417580-11.4915274175803
53196212.812424030486-16.8124240304861
54186231.005870534258-45.0058705342578
55247291.589575589157-44.5895755891567
56343371.639438220566-28.6394382205659
57464539.197984617746-75.1979846177461
58680614.37751631248865.622483687512
59711697.34907839274713.6509216072531
60610511.30569197414598.6943080258552
61613570.26614953142542.7338504685746
62392352.41544732327839.5845526767223
63273280.599741530896-7.59974153089615
64322202.334592276207119.665407723793
65189278.325554955421-89.3255549554209
66257242.85630361628514.1436963837146
67324369.618094190125-45.6180941901252
68404489.926685592868-85.9266855928677
69677650.06033950496126.939660495039
70858884.038735958918-26.0387359589176
71895901.01453409839-6.01453409839064
72664669.215155406219-5.21515540621851
73628643.787384815201-15.7873848152011
74308375.268172582017-67.2681725820173
75324238.26294758328585.7370524167154
76248238.0476122865829.95238771341752
77272201.92134972625870.0786502737423







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
78305.759388145103223.019235979670388.499540310536
79429.331810249379309.072930190873549.590690307884
80610.240403522688437.340052910974783.140754134402
81963.978867408961692.9275294721121235.03020534581
821253.94371274631900.2798355607561607.60758993187
831307.37129379048935.3585911876131679.38399639335
84973.021471580121688.0808082873641257.96213487288
85935.416102800596655.2257955854571215.60641001573
86531.583281547937355.432887870354707.73367522552
87424.70352552675267.8237132179581.5833378356
88324.425494357226185.228592563105463.622396151347
89281.182226090519170.228887566324392.135564614713

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
78 & 305.759388145103 & 223.019235979670 & 388.499540310536 \tabularnewline
79 & 429.331810249379 & 309.072930190873 & 549.590690307884 \tabularnewline
80 & 610.240403522688 & 437.340052910974 & 783.140754134402 \tabularnewline
81 & 963.978867408961 & 692.927529472112 & 1235.03020534581 \tabularnewline
82 & 1253.94371274631 & 900.279835560756 & 1607.60758993187 \tabularnewline
83 & 1307.37129379048 & 935.358591187613 & 1679.38399639335 \tabularnewline
84 & 973.021471580121 & 688.080808287364 & 1257.96213487288 \tabularnewline
85 & 935.416102800596 & 655.225795585457 & 1215.60641001573 \tabularnewline
86 & 531.583281547937 & 355.432887870354 & 707.73367522552 \tabularnewline
87 & 424.70352552675 & 267.8237132179 & 581.5833378356 \tabularnewline
88 & 324.425494357226 & 185.228592563105 & 463.622396151347 \tabularnewline
89 & 281.182226090519 & 170.228887566324 & 392.135564614713 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76560&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]78[/C][C]305.759388145103[/C][C]223.019235979670[/C][C]388.499540310536[/C][/ROW]
[ROW][C]79[/C][C]429.331810249379[/C][C]309.072930190873[/C][C]549.590690307884[/C][/ROW]
[ROW][C]80[/C][C]610.240403522688[/C][C]437.340052910974[/C][C]783.140754134402[/C][/ROW]
[ROW][C]81[/C][C]963.978867408961[/C][C]692.927529472112[/C][C]1235.03020534581[/C][/ROW]
[ROW][C]82[/C][C]1253.94371274631[/C][C]900.279835560756[/C][C]1607.60758993187[/C][/ROW]
[ROW][C]83[/C][C]1307.37129379048[/C][C]935.358591187613[/C][C]1679.38399639335[/C][/ROW]
[ROW][C]84[/C][C]973.021471580121[/C][C]688.080808287364[/C][C]1257.96213487288[/C][/ROW]
[ROW][C]85[/C][C]935.416102800596[/C][C]655.225795585457[/C][C]1215.60641001573[/C][/ROW]
[ROW][C]86[/C][C]531.583281547937[/C][C]355.432887870354[/C][C]707.73367522552[/C][/ROW]
[ROW][C]87[/C][C]424.70352552675[/C][C]267.8237132179[/C][C]581.5833378356[/C][/ROW]
[ROW][C]88[/C][C]324.425494357226[/C][C]185.228592563105[/C][C]463.622396151347[/C][/ROW]
[ROW][C]89[/C][C]281.182226090519[/C][C]170.228887566324[/C][C]392.135564614713[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76560&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76560&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
78305.759388145103223.019235979670388.499540310536
79429.331810249379309.072930190873549.590690307884
80610.240403522688437.340052910974783.140754134402
81963.978867408961692.9275294721121235.03020534581
821253.94371274631900.2798355607561607.60758993187
831307.37129379048935.3585911876131679.38399639335
84973.021471580121688.0808082873641257.96213487288
85935.416102800596655.2257955854571215.60641001573
86531.583281547937355.432887870354707.73367522552
87424.70352552675267.8237132179581.5833378356
88324.425494357226185.228592563105463.622396151347
89281.182226090519170.228887566324392.135564614713



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