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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 28 Nov 2014 16:12:01 +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/2014/Nov/28/t1417191209ba9f0bxzw5453qj.htm/, Retrieved Wed, 29 May 2024 00:11:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=260943, Retrieved Wed, 29 May 2024 00:11:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Asielverzoeken - ...] [2014-11-28 16:12:01] [db747b603bff859876183158e28e8010] [Current]
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Dataseries X:
1060
1050
1025
1085
1160
1310
1445
1445
1615
1650
1255
1175
1300
1280
1390
1340
1110
1325
1265
1150
1430
1655
1570
1345
1430
1260
1495
1125
895
1085
870
1185
1455
1540
1615
1200
1260
1095
1160
1095
1300
1215
1245
1350
1300
1280
1270
1065
1340
1265
1155
930
880
925
980
1015
1040
1365
1160
1115
1630
1225
1200
1265
1140
1270
1445
1305
1665
1830
1690
1520




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260943&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260943&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260943&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.567070783647437
beta0
gamma0.893303889871354

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.567070783647437 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.893303889871354 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260943&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]0.567070783647437[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.893303889871354[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260943&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260943&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
alpha0.567070783647437
beta0
gamma0.893303889871354







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1313001240.5681793757159.4318206242936
1412801274.39216797015.60783202989546
1513901409.70587446669-19.7058744666851
1613401357.14782051244-17.1478205124447
1711101105.838561873444.16143812656151
1813251304.0322856860920.9677143139054
1912651499.78572870853-234.785728708527
2011501347.37506364851-197.37506364851
2114301356.4062108085373.5937891914703
2216551402.57199293183252.428007068173
2315701169.36747341039400.63252658961
2413451309.9274578054635.0725421945374
2514301506.55889658667-76.5588965866691
2612601439.65686029234-179.656860292341
2714951465.5524499955529.447550004448
2811251439.07628929484-314.076289294843
298951041.57449282411-146.574492824113
3010851133.28938625661-48.2893862566082
318701169.67500495725-299.675004957255
321185990.815483446625194.184516553375
3314551314.61504924333140.384950756666
3415401457.3461812711782.6538187288265
3516151189.22138802079425.778611979209
3612001220.31267781014-20.3126778101373
3712601328.30298901135-68.3029890113451
3810951227.91937057837-132.91937057837
3911601342.13957213443-182.139572134426
4010951078.8037216111316.19627838887
411300935.707390807538364.292609192462
4212151411.01317513412-196.013175134121
4312451236.104588780278.89541121973411
4413501485.75977180047-135.759771800469
4513001635.81546715491-335.815467154907
4612801485.10171309828-205.101713098281
4712701181.7436262387888.2563737612213
481065936.334323863459128.665676136541
4913401093.642754114246.357245886001
5012651145.490096803119.509903197
5111551394.59910077348-239.599100773476
529301168.80149246517-238.801492465174
53880992.702995639091-112.702995639091
54925962.057503567295-37.0575035672953
55980953.18968392960726.8103160703928
5610151113.23279565538-98.2327956553834
5710401161.18779381725-121.187793817254
5813651162.07609347407202.923906525931
5911601202.89283661939-42.8928366193882
601115914.773079839703200.226920160297
6116301143.96318750666486.036812493345
6212251270.46625475331-45.4662547533144
6312001276.77038608561-76.7703860856141
6412651125.59893062332139.401069376683
6511401210.88710421874-70.8871042187379
6612701252.611998672517.388001327497
6714451312.0539334182132.946066581796
6813051520.87753976654-215.877539766544
6916651523.94421576869141.055784231311
7018301891.33272559176-61.3327255917609
7116901623.7024831357766.2975168642345
7215201405.86335570378114.136644296224

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 1300 & 1240.56817937571 & 59.4318206242936 \tabularnewline
14 & 1280 & 1274.3921679701 & 5.60783202989546 \tabularnewline
15 & 1390 & 1409.70587446669 & -19.7058744666851 \tabularnewline
16 & 1340 & 1357.14782051244 & -17.1478205124447 \tabularnewline
17 & 1110 & 1105.83856187344 & 4.16143812656151 \tabularnewline
18 & 1325 & 1304.03228568609 & 20.9677143139054 \tabularnewline
19 & 1265 & 1499.78572870853 & -234.785728708527 \tabularnewline
20 & 1150 & 1347.37506364851 & -197.37506364851 \tabularnewline
21 & 1430 & 1356.40621080853 & 73.5937891914703 \tabularnewline
22 & 1655 & 1402.57199293183 & 252.428007068173 \tabularnewline
23 & 1570 & 1169.36747341039 & 400.63252658961 \tabularnewline
24 & 1345 & 1309.92745780546 & 35.0725421945374 \tabularnewline
25 & 1430 & 1506.55889658667 & -76.5588965866691 \tabularnewline
26 & 1260 & 1439.65686029234 & -179.656860292341 \tabularnewline
27 & 1495 & 1465.55244999555 & 29.447550004448 \tabularnewline
28 & 1125 & 1439.07628929484 & -314.076289294843 \tabularnewline
29 & 895 & 1041.57449282411 & -146.574492824113 \tabularnewline
30 & 1085 & 1133.28938625661 & -48.2893862566082 \tabularnewline
31 & 870 & 1169.67500495725 & -299.675004957255 \tabularnewline
32 & 1185 & 990.815483446625 & 194.184516553375 \tabularnewline
33 & 1455 & 1314.61504924333 & 140.384950756666 \tabularnewline
34 & 1540 & 1457.34618127117 & 82.6538187288265 \tabularnewline
35 & 1615 & 1189.22138802079 & 425.778611979209 \tabularnewline
36 & 1200 & 1220.31267781014 & -20.3126778101373 \tabularnewline
37 & 1260 & 1328.30298901135 & -68.3029890113451 \tabularnewline
38 & 1095 & 1227.91937057837 & -132.91937057837 \tabularnewline
39 & 1160 & 1342.13957213443 & -182.139572134426 \tabularnewline
40 & 1095 & 1078.80372161113 & 16.19627838887 \tabularnewline
41 & 1300 & 935.707390807538 & 364.292609192462 \tabularnewline
42 & 1215 & 1411.01317513412 & -196.013175134121 \tabularnewline
43 & 1245 & 1236.10458878027 & 8.89541121973411 \tabularnewline
44 & 1350 & 1485.75977180047 & -135.759771800469 \tabularnewline
45 & 1300 & 1635.81546715491 & -335.815467154907 \tabularnewline
46 & 1280 & 1485.10171309828 & -205.101713098281 \tabularnewline
47 & 1270 & 1181.74362623878 & 88.2563737612213 \tabularnewline
48 & 1065 & 936.334323863459 & 128.665676136541 \tabularnewline
49 & 1340 & 1093.642754114 & 246.357245886001 \tabularnewline
50 & 1265 & 1145.490096803 & 119.509903197 \tabularnewline
51 & 1155 & 1394.59910077348 & -239.599100773476 \tabularnewline
52 & 930 & 1168.80149246517 & -238.801492465174 \tabularnewline
53 & 880 & 992.702995639091 & -112.702995639091 \tabularnewline
54 & 925 & 962.057503567295 & -37.0575035672953 \tabularnewline
55 & 980 & 953.189683929607 & 26.8103160703928 \tabularnewline
56 & 1015 & 1113.23279565538 & -98.2327956553834 \tabularnewline
57 & 1040 & 1161.18779381725 & -121.187793817254 \tabularnewline
58 & 1365 & 1162.07609347407 & 202.923906525931 \tabularnewline
59 & 1160 & 1202.89283661939 & -42.8928366193882 \tabularnewline
60 & 1115 & 914.773079839703 & 200.226920160297 \tabularnewline
61 & 1630 & 1143.96318750666 & 486.036812493345 \tabularnewline
62 & 1225 & 1270.46625475331 & -45.4662547533144 \tabularnewline
63 & 1200 & 1276.77038608561 & -76.7703860856141 \tabularnewline
64 & 1265 & 1125.59893062332 & 139.401069376683 \tabularnewline
65 & 1140 & 1210.88710421874 & -70.8871042187379 \tabularnewline
66 & 1270 & 1252.6119986725 & 17.388001327497 \tabularnewline
67 & 1445 & 1312.0539334182 & 132.946066581796 \tabularnewline
68 & 1305 & 1520.87753976654 & -215.877539766544 \tabularnewline
69 & 1665 & 1523.94421576869 & 141.055784231311 \tabularnewline
70 & 1830 & 1891.33272559176 & -61.3327255917609 \tabularnewline
71 & 1690 & 1623.70248313577 & 66.2975168642345 \tabularnewline
72 & 1520 & 1405.86335570378 & 114.136644296224 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260943&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]1300[/C][C]1240.56817937571[/C][C]59.4318206242936[/C][/ROW]
[ROW][C]14[/C][C]1280[/C][C]1274.3921679701[/C][C]5.60783202989546[/C][/ROW]
[ROW][C]15[/C][C]1390[/C][C]1409.70587446669[/C][C]-19.7058744666851[/C][/ROW]
[ROW][C]16[/C][C]1340[/C][C]1357.14782051244[/C][C]-17.1478205124447[/C][/ROW]
[ROW][C]17[/C][C]1110[/C][C]1105.83856187344[/C][C]4.16143812656151[/C][/ROW]
[ROW][C]18[/C][C]1325[/C][C]1304.03228568609[/C][C]20.9677143139054[/C][/ROW]
[ROW][C]19[/C][C]1265[/C][C]1499.78572870853[/C][C]-234.785728708527[/C][/ROW]
[ROW][C]20[/C][C]1150[/C][C]1347.37506364851[/C][C]-197.37506364851[/C][/ROW]
[ROW][C]21[/C][C]1430[/C][C]1356.40621080853[/C][C]73.5937891914703[/C][/ROW]
[ROW][C]22[/C][C]1655[/C][C]1402.57199293183[/C][C]252.428007068173[/C][/ROW]
[ROW][C]23[/C][C]1570[/C][C]1169.36747341039[/C][C]400.63252658961[/C][/ROW]
[ROW][C]24[/C][C]1345[/C][C]1309.92745780546[/C][C]35.0725421945374[/C][/ROW]
[ROW][C]25[/C][C]1430[/C][C]1506.55889658667[/C][C]-76.5588965866691[/C][/ROW]
[ROW][C]26[/C][C]1260[/C][C]1439.65686029234[/C][C]-179.656860292341[/C][/ROW]
[ROW][C]27[/C][C]1495[/C][C]1465.55244999555[/C][C]29.447550004448[/C][/ROW]
[ROW][C]28[/C][C]1125[/C][C]1439.07628929484[/C][C]-314.076289294843[/C][/ROW]
[ROW][C]29[/C][C]895[/C][C]1041.57449282411[/C][C]-146.574492824113[/C][/ROW]
[ROW][C]30[/C][C]1085[/C][C]1133.28938625661[/C][C]-48.2893862566082[/C][/ROW]
[ROW][C]31[/C][C]870[/C][C]1169.67500495725[/C][C]-299.675004957255[/C][/ROW]
[ROW][C]32[/C][C]1185[/C][C]990.815483446625[/C][C]194.184516553375[/C][/ROW]
[ROW][C]33[/C][C]1455[/C][C]1314.61504924333[/C][C]140.384950756666[/C][/ROW]
[ROW][C]34[/C][C]1540[/C][C]1457.34618127117[/C][C]82.6538187288265[/C][/ROW]
[ROW][C]35[/C][C]1615[/C][C]1189.22138802079[/C][C]425.778611979209[/C][/ROW]
[ROW][C]36[/C][C]1200[/C][C]1220.31267781014[/C][C]-20.3126778101373[/C][/ROW]
[ROW][C]37[/C][C]1260[/C][C]1328.30298901135[/C][C]-68.3029890113451[/C][/ROW]
[ROW][C]38[/C][C]1095[/C][C]1227.91937057837[/C][C]-132.91937057837[/C][/ROW]
[ROW][C]39[/C][C]1160[/C][C]1342.13957213443[/C][C]-182.139572134426[/C][/ROW]
[ROW][C]40[/C][C]1095[/C][C]1078.80372161113[/C][C]16.19627838887[/C][/ROW]
[ROW][C]41[/C][C]1300[/C][C]935.707390807538[/C][C]364.292609192462[/C][/ROW]
[ROW][C]42[/C][C]1215[/C][C]1411.01317513412[/C][C]-196.013175134121[/C][/ROW]
[ROW][C]43[/C][C]1245[/C][C]1236.10458878027[/C][C]8.89541121973411[/C][/ROW]
[ROW][C]44[/C][C]1350[/C][C]1485.75977180047[/C][C]-135.759771800469[/C][/ROW]
[ROW][C]45[/C][C]1300[/C][C]1635.81546715491[/C][C]-335.815467154907[/C][/ROW]
[ROW][C]46[/C][C]1280[/C][C]1485.10171309828[/C][C]-205.101713098281[/C][/ROW]
[ROW][C]47[/C][C]1270[/C][C]1181.74362623878[/C][C]88.2563737612213[/C][/ROW]
[ROW][C]48[/C][C]1065[/C][C]936.334323863459[/C][C]128.665676136541[/C][/ROW]
[ROW][C]49[/C][C]1340[/C][C]1093.642754114[/C][C]246.357245886001[/C][/ROW]
[ROW][C]50[/C][C]1265[/C][C]1145.490096803[/C][C]119.509903197[/C][/ROW]
[ROW][C]51[/C][C]1155[/C][C]1394.59910077348[/C][C]-239.599100773476[/C][/ROW]
[ROW][C]52[/C][C]930[/C][C]1168.80149246517[/C][C]-238.801492465174[/C][/ROW]
[ROW][C]53[/C][C]880[/C][C]992.702995639091[/C][C]-112.702995639091[/C][/ROW]
[ROW][C]54[/C][C]925[/C][C]962.057503567295[/C][C]-37.0575035672953[/C][/ROW]
[ROW][C]55[/C][C]980[/C][C]953.189683929607[/C][C]26.8103160703928[/C][/ROW]
[ROW][C]56[/C][C]1015[/C][C]1113.23279565538[/C][C]-98.2327956553834[/C][/ROW]
[ROW][C]57[/C][C]1040[/C][C]1161.18779381725[/C][C]-121.187793817254[/C][/ROW]
[ROW][C]58[/C][C]1365[/C][C]1162.07609347407[/C][C]202.923906525931[/C][/ROW]
[ROW][C]59[/C][C]1160[/C][C]1202.89283661939[/C][C]-42.8928366193882[/C][/ROW]
[ROW][C]60[/C][C]1115[/C][C]914.773079839703[/C][C]200.226920160297[/C][/ROW]
[ROW][C]61[/C][C]1630[/C][C]1143.96318750666[/C][C]486.036812493345[/C][/ROW]
[ROW][C]62[/C][C]1225[/C][C]1270.46625475331[/C][C]-45.4662547533144[/C][/ROW]
[ROW][C]63[/C][C]1200[/C][C]1276.77038608561[/C][C]-76.7703860856141[/C][/ROW]
[ROW][C]64[/C][C]1265[/C][C]1125.59893062332[/C][C]139.401069376683[/C][/ROW]
[ROW][C]65[/C][C]1140[/C][C]1210.88710421874[/C][C]-70.8871042187379[/C][/ROW]
[ROW][C]66[/C][C]1270[/C][C]1252.6119986725[/C][C]17.388001327497[/C][/ROW]
[ROW][C]67[/C][C]1445[/C][C]1312.0539334182[/C][C]132.946066581796[/C][/ROW]
[ROW][C]68[/C][C]1305[/C][C]1520.87753976654[/C][C]-215.877539766544[/C][/ROW]
[ROW][C]69[/C][C]1665[/C][C]1523.94421576869[/C][C]141.055784231311[/C][/ROW]
[ROW][C]70[/C][C]1830[/C][C]1891.33272559176[/C][C]-61.3327255917609[/C][/ROW]
[ROW][C]71[/C][C]1690[/C][C]1623.70248313577[/C][C]66.2975168642345[/C][/ROW]
[ROW][C]72[/C][C]1520[/C][C]1405.86335570378[/C][C]114.136644296224[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260943&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260943&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
1313001240.5681793757159.4318206242936
1412801274.39216797015.60783202989546
1513901409.70587446669-19.7058744666851
1613401357.14782051244-17.1478205124447
1711101105.838561873444.16143812656151
1813251304.0322856860920.9677143139054
1912651499.78572870853-234.785728708527
2011501347.37506364851-197.37506364851
2114301356.4062108085373.5937891914703
2216551402.57199293183252.428007068173
2315701169.36747341039400.63252658961
2413451309.9274578054635.0725421945374
2514301506.55889658667-76.5588965866691
2612601439.65686029234-179.656860292341
2714951465.5524499955529.447550004448
2811251439.07628929484-314.076289294843
298951041.57449282411-146.574492824113
3010851133.28938625661-48.2893862566082
318701169.67500495725-299.675004957255
321185990.815483446625194.184516553375
3314551314.61504924333140.384950756666
3415401457.3461812711782.6538187288265
3516151189.22138802079425.778611979209
3612001220.31267781014-20.3126778101373
3712601328.30298901135-68.3029890113451
3810951227.91937057837-132.91937057837
3911601342.13957213443-182.139572134426
4010951078.8037216111316.19627838887
411300935.707390807538364.292609192462
4212151411.01317513412-196.013175134121
4312451236.104588780278.89541121973411
4413501485.75977180047-135.759771800469
4513001635.81546715491-335.815467154907
4612801485.10171309828-205.101713098281
4712701181.7436262387888.2563737612213
481065936.334323863459128.665676136541
4913401093.642754114246.357245886001
5012651145.490096803119.509903197
5111551394.59910077348-239.599100773476
529301168.80149246517-238.801492465174
53880992.702995639091-112.702995639091
54925962.057503567295-37.0575035672953
55980953.18968392960726.8103160703928
5610151113.23279565538-98.2327956553834
5710401161.18779381725-121.187793817254
5813651162.07609347407202.923906525931
5911601202.89283661939-42.8928366193882
601115914.773079839703200.226920160297
6116301143.96318750666486.036812493345
6212251270.46625475331-45.4662547533144
6312001276.77038608561-76.7703860856141
6412651125.59893062332139.401069376683
6511401210.88710421874-70.8871042187379
6612701252.611998672517.388001327497
6714451312.0539334182132.946066581796
6813051520.87753976654-215.877539766544
6916651523.94421576869141.055784231311
7018301891.33272559176-61.3327255917609
7116901623.7024831357766.2975168642345
7215201405.86335570378114.136644296224







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
731722.423445976481383.664780595222061.18211135774
741341.94934731536968.6640297527421715.23466487798
751362.55600238765936.1538613273621788.95814344795
761331.20542292886865.0191244555851797.39172140213
771250.73214999121759.8983419869371741.56595799548
781377.54699469665814.7895443840951940.3044450092
791476.73897392056849.829505832342103.64844200879
801467.70080287954812.5604497021292122.84115605695
811758.64025534792968.8966534751642548.38385722068
821979.83618017651079.768490389382879.90386996362
831780.89311624043938.6858755009942623.10035697987
841528.64802167572789.0117391124532268.28430423898

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 1722.42344597648 & 1383.66478059522 & 2061.18211135774 \tabularnewline
74 & 1341.94934731536 & 968.664029752742 & 1715.23466487798 \tabularnewline
75 & 1362.55600238765 & 936.153861327362 & 1788.95814344795 \tabularnewline
76 & 1331.20542292886 & 865.019124455585 & 1797.39172140213 \tabularnewline
77 & 1250.73214999121 & 759.898341986937 & 1741.56595799548 \tabularnewline
78 & 1377.54699469665 & 814.789544384095 & 1940.3044450092 \tabularnewline
79 & 1476.73897392056 & 849.82950583234 & 2103.64844200879 \tabularnewline
80 & 1467.70080287954 & 812.560449702129 & 2122.84115605695 \tabularnewline
81 & 1758.64025534792 & 968.896653475164 & 2548.38385722068 \tabularnewline
82 & 1979.8361801765 & 1079.76849038938 & 2879.90386996362 \tabularnewline
83 & 1780.89311624043 & 938.685875500994 & 2623.10035697987 \tabularnewline
84 & 1528.64802167572 & 789.011739112453 & 2268.28430423898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260943&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]73[/C][C]1722.42344597648[/C][C]1383.66478059522[/C][C]2061.18211135774[/C][/ROW]
[ROW][C]74[/C][C]1341.94934731536[/C][C]968.664029752742[/C][C]1715.23466487798[/C][/ROW]
[ROW][C]75[/C][C]1362.55600238765[/C][C]936.153861327362[/C][C]1788.95814344795[/C][/ROW]
[ROW][C]76[/C][C]1331.20542292886[/C][C]865.019124455585[/C][C]1797.39172140213[/C][/ROW]
[ROW][C]77[/C][C]1250.73214999121[/C][C]759.898341986937[/C][C]1741.56595799548[/C][/ROW]
[ROW][C]78[/C][C]1377.54699469665[/C][C]814.789544384095[/C][C]1940.3044450092[/C][/ROW]
[ROW][C]79[/C][C]1476.73897392056[/C][C]849.82950583234[/C][C]2103.64844200879[/C][/ROW]
[ROW][C]80[/C][C]1467.70080287954[/C][C]812.560449702129[/C][C]2122.84115605695[/C][/ROW]
[ROW][C]81[/C][C]1758.64025534792[/C][C]968.896653475164[/C][C]2548.38385722068[/C][/ROW]
[ROW][C]82[/C][C]1979.8361801765[/C][C]1079.76849038938[/C][C]2879.90386996362[/C][/ROW]
[ROW][C]83[/C][C]1780.89311624043[/C][C]938.685875500994[/C][C]2623.10035697987[/C][/ROW]
[ROW][C]84[/C][C]1528.64802167572[/C][C]789.011739112453[/C][C]2268.28430423898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260943&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260943&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
731722.423445976481383.664780595222061.18211135774
741341.94934731536968.6640297527421715.23466487798
751362.55600238765936.1538613273621788.95814344795
761331.20542292886865.0191244555851797.39172140213
771250.73214999121759.8983419869371741.56595799548
781377.54699469665814.7895443840951940.3044450092
791476.73897392056849.829505832342103.64844200879
801467.70080287954812.5604497021292122.84115605695
811758.64025534792968.8966534751642548.38385722068
821979.83618017651079.768490389382879.90386996362
831780.89311624043938.6858755009942623.10035697987
841528.64802167572789.0117391124532268.28430423898



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')