Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 06 Jun 2009 08:07:36 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/06/t124429727638mqlu2fhmzgqbx.htm/, Retrieved Mon, 29 Apr 2024 01:38:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42000, Retrieved Mon, 29 Apr 2024 01:38:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Jeroen De Laet] [2009-06-06 14:07:36] [d41d8cd98f00b204e9800998ecf8427e] [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=42000&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=42000&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42000&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
alpha0.0694418538538814
beta0.0955451383637313
gamma0.274997599946921

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0694418538538814 \tabularnewline
beta & 0.0955451383637313 \tabularnewline
gamma & 0.274997599946921 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42000&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]0.0694418538538814[/C][/ROW]
[ROW][C]beta[/C][C]0.0955451383637313[/C][/ROW]
[ROW][C]gamma[/C][C]0.274997599946921[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42000&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42000&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
alpha0.0694418538538814
beta0.0955451383637313
gamma0.274997599946921







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131502814321.6838979972706.316102002787
141797717069.4160535447907.583946455306
152000819050.8439326332957.156067366803
162135420594.1425361458759.85746385418
171949819004.1288347880493.871165211971
182212521757.4644496887367.535550311321
192581724290.91202996251526.08797003750
202877925468.28392467463310.71607532535
212096023042.1510861182-2082.15108611822
222225424523.2293633099-2269.2293633099
232739228844.5021876792-1452.50218767915
242994531899.8676637324-1954.86766373242
251693316195.4241625049737.575837495142
261789219314.2164644429-1422.21646444291
272053321332.8072665367-799.807266536678
282356922812.4192922810756.580707718975
292241720958.65302350911458.34697649086
302208423985.8132815679-1901.81328156789
312658026864.8774314884-284.877431488352
322745428432.6130081043-978.613008104294
332408123975.6887334772105.311266522775
342345125609.0416780825-2158.04167808247
352899130404.3283513062-1413.32835130620
363138633461.1532316215-2075.15323162147
371689617419.8101742070-523.810174207032
382004519987.123180556657.876819443376
392347122355.33641719551115.66358280452
402174724450.3230768301-2703.32307683013
412562122387.30439160713233.69560839292
422385924738.742002527-879.742002527011
432550028245.7536118687-2745.75361186865
443099829465.55796526721532.44203473282
452447525204.5483869939-729.548386993894
462314526197.9138248614-3052.91382486144
472970131277.8847142151-1576.88471421506
483436534202.1348333372162.865166662828
491755618008.2840409601-452.284040960138
502207720811.98015589561265.01984410444
512570223622.37532126732079.62467873271
522221424825.2539082843-2611.25390828432
532688624240.38227317662645.61772682340
542319125513.7939720525-2322.79397205250
552783128509.5071560244-678.5071560244
563540631036.41574288264369.58425711737
572319526154.496343106-2959.49634310599
582511026383.7491860897-1273.74918608966
593000932191.5348743202-2182.53487432016
603624235640.0309609682601.969039031806
611845018627.0175778720-177.017577872048
622184522015.8478416554-170.847841655421
632648825017.02076434221470.97923565783
642239424940.6931600334-2546.69316003338
652805725704.26220337362352.73779662641
662545125647.0675347378-196.067534737773
672487229319.6100640472-4447.61006404716
683342432916.938012254507.061987745998
692405225720.7217749869-1668.72177498689
702844926433.79170391382015.20829608625
713353332331.25839854111201.74160145888
723735136839.8832867459511.116713254072
731996919112.5405429888856.459457011177
742170122683.3965436547-982.396543654671
752624926141.2192762621107.780723737924
762449324890.2002096102-397.200209610186
772460327118.6424433366-2515.64244333658
782648526022.1427589437462.857241056325
793072328656.15716949562066.84283050439
803456934157.4229120796411.577087920385
812668926144.2061451959544.793854804131
822615728046.0223252544-1889.02232525437
833206433630.5021480142-1566.50214801419
843887037851.11226958711018.88773041295
852133719799.21535936381537.78464063620
861941923019.9230621463-3600.92306214629
872316626616.3935327637-3450.39353276375
882828624930.64602521913355.35397478092
892457026876.3395178581-2306.33951785808
902400126530.51676962-2529.51676962000
913315129337.84479168953813.15520831049
922487834540.161023167-9662.16102316701
932680425877.5979925023926.402007497702
942896727079.87488187551887.12511812446
953331132890.1166771892420.883322810798
964022637812.60643254162413.39356745841
972050420053.1493755979450.85062440205
982306021813.58043826071246.41956173927
992356225774.3256813748-2212.32568137482
1002756225905.01923682241656.98076317764
1012394026263.6975520913-2323.69755209127
1022458425838.5323099926-1254.53230999264
1033430330346.08753203263956.91246796743
1042551732052.1394602351-6535.13946023508
1052349426286.2661739538-2792.26617395383
1062909527447.75363698251647.24636301752
1073290332813.071367803189.9286321968684
1083437938150.9680680047-3771.96806800469
1091699119758.4569672235-2767.45696722354
1102110921370.7346646520-261.734664651962
1112374024135.5985914489-395.598591448877
1122555225253.8254327628298.174567237234
1132175224445.4639142612-2693.46391426115
1142029424178.5015986717-3884.50159867166
1152900929342.9348101488-333.934810148752
1162550027983.8777426644-2483.87774266444
1172416623648.7372295099517.26277049015
1182696025908.38833058191051.61166941807
1193122230365.2567014461856.743298553884
1203864134310.49058138794330.50941861207
1211467217809.3649304867-3137.36493048673
1221754319821.1469914741-2278.14699147414
1232545322127.73224622103325.26775377896
1243268323538.71017075899144.28982924112
1252244922655.5325845493-206.532584549277
1262231622283.745997153432.2540028465628
1272759528516.2649897776-921.264989777639
1282545126667.0999819650-1216.09998196495
1292542123316.88068623672104.11931376332
1302528825860.9884555389-572.98845553894
1313256830156.94502865382411.05497134623
1323511035137.5427455489-27.5427455488971
1331605216751.0333770975-699.033377097487
1342214619190.12975990362955.87024009641
1352119823460.954716575-2262.95471657499
1361954326002.1866122241-6459.18661222411
1372208421756.9413852293327.058614770725
1382381621470.45193482502345.54806517496
1392996127431.69911974662529.30088025342
1402677325798.3488840879974.65111591213
1412663523508.62052864863126.37947135138
1422697225452.68538442701519.31461557297
1433020730688.9221083319-481.922108331928
1443868734849.2883346563837.71166534397
1451697416598.4923302349375.507669765077
1462169720108.96942578251588.03057421751
1472417922998.37441568181180.62558431819
1482375724772.5356251825-1015.53562518251
1492501322670.95899606562342.04100393441
1502401923159.1013325659859.898667434092
1513034529448.9416142900896.058385710039
1522448827314.5296019602-2826.52960196018
1532515625312.0172500213-156.017250021254
1542565026713.8727180966-1063.87271809665
1553092331428.21764374-505.217643740001
1563724036888.5310577561351.468942243853
1571746617085.1903514527380.809648547252
1581946321009.6602130812-1546.66021308122
1592435223607.1702664655744.82973353445
1602680524793.50598754652011.49401245346
1612523623744.60055421531491.39944578473
1622473523797.7173186204937.282681379598
1632935630221.1128114769-865.112811476898
1643123426957.45293596364276.54706403644
1652272426134.9080071044-3410.90800710437
1662849627126.82892123591369.17107876414
1673285732354.7527072292502.247292770757
1683719838367.5698422472-1169.56984224721
1691365217800.497034701-4148.49703470101
1702278420965.81677010091818.18322989905
1712356524491.8262396236-926.826239623639
1722632325922.5372462624400.462753737571
1732377924594.0510975169-815.051097516913
1742754924320.13424636703228.86575363305
1752966030540.1221802575-880.122180257495
1762335628536.6697519588-5180.66975195879

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 15028 & 14321.6838979972 & 706.316102002787 \tabularnewline
14 & 17977 & 17069.4160535447 & 907.583946455306 \tabularnewline
15 & 20008 & 19050.8439326332 & 957.156067366803 \tabularnewline
16 & 21354 & 20594.1425361458 & 759.85746385418 \tabularnewline
17 & 19498 & 19004.1288347880 & 493.871165211971 \tabularnewline
18 & 22125 & 21757.4644496887 & 367.535550311321 \tabularnewline
19 & 25817 & 24290.9120299625 & 1526.08797003750 \tabularnewline
20 & 28779 & 25468.2839246746 & 3310.71607532535 \tabularnewline
21 & 20960 & 23042.1510861182 & -2082.15108611822 \tabularnewline
22 & 22254 & 24523.2293633099 & -2269.2293633099 \tabularnewline
23 & 27392 & 28844.5021876792 & -1452.50218767915 \tabularnewline
24 & 29945 & 31899.8676637324 & -1954.86766373242 \tabularnewline
25 & 16933 & 16195.4241625049 & 737.575837495142 \tabularnewline
26 & 17892 & 19314.2164644429 & -1422.21646444291 \tabularnewline
27 & 20533 & 21332.8072665367 & -799.807266536678 \tabularnewline
28 & 23569 & 22812.4192922810 & 756.580707718975 \tabularnewline
29 & 22417 & 20958.6530235091 & 1458.34697649086 \tabularnewline
30 & 22084 & 23985.8132815679 & -1901.81328156789 \tabularnewline
31 & 26580 & 26864.8774314884 & -284.877431488352 \tabularnewline
32 & 27454 & 28432.6130081043 & -978.613008104294 \tabularnewline
33 & 24081 & 23975.6887334772 & 105.311266522775 \tabularnewline
34 & 23451 & 25609.0416780825 & -2158.04167808247 \tabularnewline
35 & 28991 & 30404.3283513062 & -1413.32835130620 \tabularnewline
36 & 31386 & 33461.1532316215 & -2075.15323162147 \tabularnewline
37 & 16896 & 17419.8101742070 & -523.810174207032 \tabularnewline
38 & 20045 & 19987.1231805566 & 57.876819443376 \tabularnewline
39 & 23471 & 22355.3364171955 & 1115.66358280452 \tabularnewline
40 & 21747 & 24450.3230768301 & -2703.32307683013 \tabularnewline
41 & 25621 & 22387.3043916071 & 3233.69560839292 \tabularnewline
42 & 23859 & 24738.742002527 & -879.742002527011 \tabularnewline
43 & 25500 & 28245.7536118687 & -2745.75361186865 \tabularnewline
44 & 30998 & 29465.5579652672 & 1532.44203473282 \tabularnewline
45 & 24475 & 25204.5483869939 & -729.548386993894 \tabularnewline
46 & 23145 & 26197.9138248614 & -3052.91382486144 \tabularnewline
47 & 29701 & 31277.8847142151 & -1576.88471421506 \tabularnewline
48 & 34365 & 34202.1348333372 & 162.865166662828 \tabularnewline
49 & 17556 & 18008.2840409601 & -452.284040960138 \tabularnewline
50 & 22077 & 20811.9801558956 & 1265.01984410444 \tabularnewline
51 & 25702 & 23622.3753212673 & 2079.62467873271 \tabularnewline
52 & 22214 & 24825.2539082843 & -2611.25390828432 \tabularnewline
53 & 26886 & 24240.3822731766 & 2645.61772682340 \tabularnewline
54 & 23191 & 25513.7939720525 & -2322.79397205250 \tabularnewline
55 & 27831 & 28509.5071560244 & -678.5071560244 \tabularnewline
56 & 35406 & 31036.4157428826 & 4369.58425711737 \tabularnewline
57 & 23195 & 26154.496343106 & -2959.49634310599 \tabularnewline
58 & 25110 & 26383.7491860897 & -1273.74918608966 \tabularnewline
59 & 30009 & 32191.5348743202 & -2182.53487432016 \tabularnewline
60 & 36242 & 35640.0309609682 & 601.969039031806 \tabularnewline
61 & 18450 & 18627.0175778720 & -177.017577872048 \tabularnewline
62 & 21845 & 22015.8478416554 & -170.847841655421 \tabularnewline
63 & 26488 & 25017.0207643422 & 1470.97923565783 \tabularnewline
64 & 22394 & 24940.6931600334 & -2546.69316003338 \tabularnewline
65 & 28057 & 25704.2622033736 & 2352.73779662641 \tabularnewline
66 & 25451 & 25647.0675347378 & -196.067534737773 \tabularnewline
67 & 24872 & 29319.6100640472 & -4447.61006404716 \tabularnewline
68 & 33424 & 32916.938012254 & 507.061987745998 \tabularnewline
69 & 24052 & 25720.7217749869 & -1668.72177498689 \tabularnewline
70 & 28449 & 26433.7917039138 & 2015.20829608625 \tabularnewline
71 & 33533 & 32331.2583985411 & 1201.74160145888 \tabularnewline
72 & 37351 & 36839.8832867459 & 511.116713254072 \tabularnewline
73 & 19969 & 19112.5405429888 & 856.459457011177 \tabularnewline
74 & 21701 & 22683.3965436547 & -982.396543654671 \tabularnewline
75 & 26249 & 26141.2192762621 & 107.780723737924 \tabularnewline
76 & 24493 & 24890.2002096102 & -397.200209610186 \tabularnewline
77 & 24603 & 27118.6424433366 & -2515.64244333658 \tabularnewline
78 & 26485 & 26022.1427589437 & 462.857241056325 \tabularnewline
79 & 30723 & 28656.1571694956 & 2066.84283050439 \tabularnewline
80 & 34569 & 34157.4229120796 & 411.577087920385 \tabularnewline
81 & 26689 & 26144.2061451959 & 544.793854804131 \tabularnewline
82 & 26157 & 28046.0223252544 & -1889.02232525437 \tabularnewline
83 & 32064 & 33630.5021480142 & -1566.50214801419 \tabularnewline
84 & 38870 & 37851.1122695871 & 1018.88773041295 \tabularnewline
85 & 21337 & 19799.2153593638 & 1537.78464063620 \tabularnewline
86 & 19419 & 23019.9230621463 & -3600.92306214629 \tabularnewline
87 & 23166 & 26616.3935327637 & -3450.39353276375 \tabularnewline
88 & 28286 & 24930.6460252191 & 3355.35397478092 \tabularnewline
89 & 24570 & 26876.3395178581 & -2306.33951785808 \tabularnewline
90 & 24001 & 26530.51676962 & -2529.51676962000 \tabularnewline
91 & 33151 & 29337.8447916895 & 3813.15520831049 \tabularnewline
92 & 24878 & 34540.161023167 & -9662.16102316701 \tabularnewline
93 & 26804 & 25877.5979925023 & 926.402007497702 \tabularnewline
94 & 28967 & 27079.8748818755 & 1887.12511812446 \tabularnewline
95 & 33311 & 32890.1166771892 & 420.883322810798 \tabularnewline
96 & 40226 & 37812.6064325416 & 2413.39356745841 \tabularnewline
97 & 20504 & 20053.1493755979 & 450.85062440205 \tabularnewline
98 & 23060 & 21813.5804382607 & 1246.41956173927 \tabularnewline
99 & 23562 & 25774.3256813748 & -2212.32568137482 \tabularnewline
100 & 27562 & 25905.0192368224 & 1656.98076317764 \tabularnewline
101 & 23940 & 26263.6975520913 & -2323.69755209127 \tabularnewline
102 & 24584 & 25838.5323099926 & -1254.53230999264 \tabularnewline
103 & 34303 & 30346.0875320326 & 3956.91246796743 \tabularnewline
104 & 25517 & 32052.1394602351 & -6535.13946023508 \tabularnewline
105 & 23494 & 26286.2661739538 & -2792.26617395383 \tabularnewline
106 & 29095 & 27447.7536369825 & 1647.24636301752 \tabularnewline
107 & 32903 & 32813.0713678031 & 89.9286321968684 \tabularnewline
108 & 34379 & 38150.9680680047 & -3771.96806800469 \tabularnewline
109 & 16991 & 19758.4569672235 & -2767.45696722354 \tabularnewline
110 & 21109 & 21370.7346646520 & -261.734664651962 \tabularnewline
111 & 23740 & 24135.5985914489 & -395.598591448877 \tabularnewline
112 & 25552 & 25253.8254327628 & 298.174567237234 \tabularnewline
113 & 21752 & 24445.4639142612 & -2693.46391426115 \tabularnewline
114 & 20294 & 24178.5015986717 & -3884.50159867166 \tabularnewline
115 & 29009 & 29342.9348101488 & -333.934810148752 \tabularnewline
116 & 25500 & 27983.8777426644 & -2483.87774266444 \tabularnewline
117 & 24166 & 23648.7372295099 & 517.26277049015 \tabularnewline
118 & 26960 & 25908.3883305819 & 1051.61166941807 \tabularnewline
119 & 31222 & 30365.2567014461 & 856.743298553884 \tabularnewline
120 & 38641 & 34310.4905813879 & 4330.50941861207 \tabularnewline
121 & 14672 & 17809.3649304867 & -3137.36493048673 \tabularnewline
122 & 17543 & 19821.1469914741 & -2278.14699147414 \tabularnewline
123 & 25453 & 22127.7322462210 & 3325.26775377896 \tabularnewline
124 & 32683 & 23538.7101707589 & 9144.28982924112 \tabularnewline
125 & 22449 & 22655.5325845493 & -206.532584549277 \tabularnewline
126 & 22316 & 22283.7459971534 & 32.2540028465628 \tabularnewline
127 & 27595 & 28516.2649897776 & -921.264989777639 \tabularnewline
128 & 25451 & 26667.0999819650 & -1216.09998196495 \tabularnewline
129 & 25421 & 23316.8806862367 & 2104.11931376332 \tabularnewline
130 & 25288 & 25860.9884555389 & -572.98845553894 \tabularnewline
131 & 32568 & 30156.9450286538 & 2411.05497134623 \tabularnewline
132 & 35110 & 35137.5427455489 & -27.5427455488971 \tabularnewline
133 & 16052 & 16751.0333770975 & -699.033377097487 \tabularnewline
134 & 22146 & 19190.1297599036 & 2955.87024009641 \tabularnewline
135 & 21198 & 23460.954716575 & -2262.95471657499 \tabularnewline
136 & 19543 & 26002.1866122241 & -6459.18661222411 \tabularnewline
137 & 22084 & 21756.9413852293 & 327.058614770725 \tabularnewline
138 & 23816 & 21470.4519348250 & 2345.54806517496 \tabularnewline
139 & 29961 & 27431.6991197466 & 2529.30088025342 \tabularnewline
140 & 26773 & 25798.3488840879 & 974.65111591213 \tabularnewline
141 & 26635 & 23508.6205286486 & 3126.37947135138 \tabularnewline
142 & 26972 & 25452.6853844270 & 1519.31461557297 \tabularnewline
143 & 30207 & 30688.9221083319 & -481.922108331928 \tabularnewline
144 & 38687 & 34849.288334656 & 3837.71166534397 \tabularnewline
145 & 16974 & 16598.4923302349 & 375.507669765077 \tabularnewline
146 & 21697 & 20108.9694257825 & 1588.03057421751 \tabularnewline
147 & 24179 & 22998.3744156818 & 1180.62558431819 \tabularnewline
148 & 23757 & 24772.5356251825 & -1015.53562518251 \tabularnewline
149 & 25013 & 22670.9589960656 & 2342.04100393441 \tabularnewline
150 & 24019 & 23159.1013325659 & 859.898667434092 \tabularnewline
151 & 30345 & 29448.9416142900 & 896.058385710039 \tabularnewline
152 & 24488 & 27314.5296019602 & -2826.52960196018 \tabularnewline
153 & 25156 & 25312.0172500213 & -156.017250021254 \tabularnewline
154 & 25650 & 26713.8727180966 & -1063.87271809665 \tabularnewline
155 & 30923 & 31428.21764374 & -505.217643740001 \tabularnewline
156 & 37240 & 36888.5310577561 & 351.468942243853 \tabularnewline
157 & 17466 & 17085.1903514527 & 380.809648547252 \tabularnewline
158 & 19463 & 21009.6602130812 & -1546.66021308122 \tabularnewline
159 & 24352 & 23607.1702664655 & 744.82973353445 \tabularnewline
160 & 26805 & 24793.5059875465 & 2011.49401245346 \tabularnewline
161 & 25236 & 23744.6005542153 & 1491.39944578473 \tabularnewline
162 & 24735 & 23797.7173186204 & 937.282681379598 \tabularnewline
163 & 29356 & 30221.1128114769 & -865.112811476898 \tabularnewline
164 & 31234 & 26957.4529359636 & 4276.54706403644 \tabularnewline
165 & 22724 & 26134.9080071044 & -3410.90800710437 \tabularnewline
166 & 28496 & 27126.8289212359 & 1369.17107876414 \tabularnewline
167 & 32857 & 32354.7527072292 & 502.247292770757 \tabularnewline
168 & 37198 & 38367.5698422472 & -1169.56984224721 \tabularnewline
169 & 13652 & 17800.497034701 & -4148.49703470101 \tabularnewline
170 & 22784 & 20965.8167701009 & 1818.18322989905 \tabularnewline
171 & 23565 & 24491.8262396236 & -926.826239623639 \tabularnewline
172 & 26323 & 25922.5372462624 & 400.462753737571 \tabularnewline
173 & 23779 & 24594.0510975169 & -815.051097516913 \tabularnewline
174 & 27549 & 24320.1342463670 & 3228.86575363305 \tabularnewline
175 & 29660 & 30540.1221802575 & -880.122180257495 \tabularnewline
176 & 23356 & 28536.6697519588 & -5180.66975195879 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42000&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]14321.6838979972[/C][C]706.316102002787[/C][/ROW]
[ROW][C]14[/C][C]17977[/C][C]17069.4160535447[/C][C]907.583946455306[/C][/ROW]
[ROW][C]15[/C][C]20008[/C][C]19050.8439326332[/C][C]957.156067366803[/C][/ROW]
[ROW][C]16[/C][C]21354[/C][C]20594.1425361458[/C][C]759.85746385418[/C][/ROW]
[ROW][C]17[/C][C]19498[/C][C]19004.1288347880[/C][C]493.871165211971[/C][/ROW]
[ROW][C]18[/C][C]22125[/C][C]21757.4644496887[/C][C]367.535550311321[/C][/ROW]
[ROW][C]19[/C][C]25817[/C][C]24290.9120299625[/C][C]1526.08797003750[/C][/ROW]
[ROW][C]20[/C][C]28779[/C][C]25468.2839246746[/C][C]3310.71607532535[/C][/ROW]
[ROW][C]21[/C][C]20960[/C][C]23042.1510861182[/C][C]-2082.15108611822[/C][/ROW]
[ROW][C]22[/C][C]22254[/C][C]24523.2293633099[/C][C]-2269.2293633099[/C][/ROW]
[ROW][C]23[/C][C]27392[/C][C]28844.5021876792[/C][C]-1452.50218767915[/C][/ROW]
[ROW][C]24[/C][C]29945[/C][C]31899.8676637324[/C][C]-1954.86766373242[/C][/ROW]
[ROW][C]25[/C][C]16933[/C][C]16195.4241625049[/C][C]737.575837495142[/C][/ROW]
[ROW][C]26[/C][C]17892[/C][C]19314.2164644429[/C][C]-1422.21646444291[/C][/ROW]
[ROW][C]27[/C][C]20533[/C][C]21332.8072665367[/C][C]-799.807266536678[/C][/ROW]
[ROW][C]28[/C][C]23569[/C][C]22812.4192922810[/C][C]756.580707718975[/C][/ROW]
[ROW][C]29[/C][C]22417[/C][C]20958.6530235091[/C][C]1458.34697649086[/C][/ROW]
[ROW][C]30[/C][C]22084[/C][C]23985.8132815679[/C][C]-1901.81328156789[/C][/ROW]
[ROW][C]31[/C][C]26580[/C][C]26864.8774314884[/C][C]-284.877431488352[/C][/ROW]
[ROW][C]32[/C][C]27454[/C][C]28432.6130081043[/C][C]-978.613008104294[/C][/ROW]
[ROW][C]33[/C][C]24081[/C][C]23975.6887334772[/C][C]105.311266522775[/C][/ROW]
[ROW][C]34[/C][C]23451[/C][C]25609.0416780825[/C][C]-2158.04167808247[/C][/ROW]
[ROW][C]35[/C][C]28991[/C][C]30404.3283513062[/C][C]-1413.32835130620[/C][/ROW]
[ROW][C]36[/C][C]31386[/C][C]33461.1532316215[/C][C]-2075.15323162147[/C][/ROW]
[ROW][C]37[/C][C]16896[/C][C]17419.8101742070[/C][C]-523.810174207032[/C][/ROW]
[ROW][C]38[/C][C]20045[/C][C]19987.1231805566[/C][C]57.876819443376[/C][/ROW]
[ROW][C]39[/C][C]23471[/C][C]22355.3364171955[/C][C]1115.66358280452[/C][/ROW]
[ROW][C]40[/C][C]21747[/C][C]24450.3230768301[/C][C]-2703.32307683013[/C][/ROW]
[ROW][C]41[/C][C]25621[/C][C]22387.3043916071[/C][C]3233.69560839292[/C][/ROW]
[ROW][C]42[/C][C]23859[/C][C]24738.742002527[/C][C]-879.742002527011[/C][/ROW]
[ROW][C]43[/C][C]25500[/C][C]28245.7536118687[/C][C]-2745.75361186865[/C][/ROW]
[ROW][C]44[/C][C]30998[/C][C]29465.5579652672[/C][C]1532.44203473282[/C][/ROW]
[ROW][C]45[/C][C]24475[/C][C]25204.5483869939[/C][C]-729.548386993894[/C][/ROW]
[ROW][C]46[/C][C]23145[/C][C]26197.9138248614[/C][C]-3052.91382486144[/C][/ROW]
[ROW][C]47[/C][C]29701[/C][C]31277.8847142151[/C][C]-1576.88471421506[/C][/ROW]
[ROW][C]48[/C][C]34365[/C][C]34202.1348333372[/C][C]162.865166662828[/C][/ROW]
[ROW][C]49[/C][C]17556[/C][C]18008.2840409601[/C][C]-452.284040960138[/C][/ROW]
[ROW][C]50[/C][C]22077[/C][C]20811.9801558956[/C][C]1265.01984410444[/C][/ROW]
[ROW][C]51[/C][C]25702[/C][C]23622.3753212673[/C][C]2079.62467873271[/C][/ROW]
[ROW][C]52[/C][C]22214[/C][C]24825.2539082843[/C][C]-2611.25390828432[/C][/ROW]
[ROW][C]53[/C][C]26886[/C][C]24240.3822731766[/C][C]2645.61772682340[/C][/ROW]
[ROW][C]54[/C][C]23191[/C][C]25513.7939720525[/C][C]-2322.79397205250[/C][/ROW]
[ROW][C]55[/C][C]27831[/C][C]28509.5071560244[/C][C]-678.5071560244[/C][/ROW]
[ROW][C]56[/C][C]35406[/C][C]31036.4157428826[/C][C]4369.58425711737[/C][/ROW]
[ROW][C]57[/C][C]23195[/C][C]26154.496343106[/C][C]-2959.49634310599[/C][/ROW]
[ROW][C]58[/C][C]25110[/C][C]26383.7491860897[/C][C]-1273.74918608966[/C][/ROW]
[ROW][C]59[/C][C]30009[/C][C]32191.5348743202[/C][C]-2182.53487432016[/C][/ROW]
[ROW][C]60[/C][C]36242[/C][C]35640.0309609682[/C][C]601.969039031806[/C][/ROW]
[ROW][C]61[/C][C]18450[/C][C]18627.0175778720[/C][C]-177.017577872048[/C][/ROW]
[ROW][C]62[/C][C]21845[/C][C]22015.8478416554[/C][C]-170.847841655421[/C][/ROW]
[ROW][C]63[/C][C]26488[/C][C]25017.0207643422[/C][C]1470.97923565783[/C][/ROW]
[ROW][C]64[/C][C]22394[/C][C]24940.6931600334[/C][C]-2546.69316003338[/C][/ROW]
[ROW][C]65[/C][C]28057[/C][C]25704.2622033736[/C][C]2352.73779662641[/C][/ROW]
[ROW][C]66[/C][C]25451[/C][C]25647.0675347378[/C][C]-196.067534737773[/C][/ROW]
[ROW][C]67[/C][C]24872[/C][C]29319.6100640472[/C][C]-4447.61006404716[/C][/ROW]
[ROW][C]68[/C][C]33424[/C][C]32916.938012254[/C][C]507.061987745998[/C][/ROW]
[ROW][C]69[/C][C]24052[/C][C]25720.7217749869[/C][C]-1668.72177498689[/C][/ROW]
[ROW][C]70[/C][C]28449[/C][C]26433.7917039138[/C][C]2015.20829608625[/C][/ROW]
[ROW][C]71[/C][C]33533[/C][C]32331.2583985411[/C][C]1201.74160145888[/C][/ROW]
[ROW][C]72[/C][C]37351[/C][C]36839.8832867459[/C][C]511.116713254072[/C][/ROW]
[ROW][C]73[/C][C]19969[/C][C]19112.5405429888[/C][C]856.459457011177[/C][/ROW]
[ROW][C]74[/C][C]21701[/C][C]22683.3965436547[/C][C]-982.396543654671[/C][/ROW]
[ROW][C]75[/C][C]26249[/C][C]26141.2192762621[/C][C]107.780723737924[/C][/ROW]
[ROW][C]76[/C][C]24493[/C][C]24890.2002096102[/C][C]-397.200209610186[/C][/ROW]
[ROW][C]77[/C][C]24603[/C][C]27118.6424433366[/C][C]-2515.64244333658[/C][/ROW]
[ROW][C]78[/C][C]26485[/C][C]26022.1427589437[/C][C]462.857241056325[/C][/ROW]
[ROW][C]79[/C][C]30723[/C][C]28656.1571694956[/C][C]2066.84283050439[/C][/ROW]
[ROW][C]80[/C][C]34569[/C][C]34157.4229120796[/C][C]411.577087920385[/C][/ROW]
[ROW][C]81[/C][C]26689[/C][C]26144.2061451959[/C][C]544.793854804131[/C][/ROW]
[ROW][C]82[/C][C]26157[/C][C]28046.0223252544[/C][C]-1889.02232525437[/C][/ROW]
[ROW][C]83[/C][C]32064[/C][C]33630.5021480142[/C][C]-1566.50214801419[/C][/ROW]
[ROW][C]84[/C][C]38870[/C][C]37851.1122695871[/C][C]1018.88773041295[/C][/ROW]
[ROW][C]85[/C][C]21337[/C][C]19799.2153593638[/C][C]1537.78464063620[/C][/ROW]
[ROW][C]86[/C][C]19419[/C][C]23019.9230621463[/C][C]-3600.92306214629[/C][/ROW]
[ROW][C]87[/C][C]23166[/C][C]26616.3935327637[/C][C]-3450.39353276375[/C][/ROW]
[ROW][C]88[/C][C]28286[/C][C]24930.6460252191[/C][C]3355.35397478092[/C][/ROW]
[ROW][C]89[/C][C]24570[/C][C]26876.3395178581[/C][C]-2306.33951785808[/C][/ROW]
[ROW][C]90[/C][C]24001[/C][C]26530.51676962[/C][C]-2529.51676962000[/C][/ROW]
[ROW][C]91[/C][C]33151[/C][C]29337.8447916895[/C][C]3813.15520831049[/C][/ROW]
[ROW][C]92[/C][C]24878[/C][C]34540.161023167[/C][C]-9662.16102316701[/C][/ROW]
[ROW][C]93[/C][C]26804[/C][C]25877.5979925023[/C][C]926.402007497702[/C][/ROW]
[ROW][C]94[/C][C]28967[/C][C]27079.8748818755[/C][C]1887.12511812446[/C][/ROW]
[ROW][C]95[/C][C]33311[/C][C]32890.1166771892[/C][C]420.883322810798[/C][/ROW]
[ROW][C]96[/C][C]40226[/C][C]37812.6064325416[/C][C]2413.39356745841[/C][/ROW]
[ROW][C]97[/C][C]20504[/C][C]20053.1493755979[/C][C]450.85062440205[/C][/ROW]
[ROW][C]98[/C][C]23060[/C][C]21813.5804382607[/C][C]1246.41956173927[/C][/ROW]
[ROW][C]99[/C][C]23562[/C][C]25774.3256813748[/C][C]-2212.32568137482[/C][/ROW]
[ROW][C]100[/C][C]27562[/C][C]25905.0192368224[/C][C]1656.98076317764[/C][/ROW]
[ROW][C]101[/C][C]23940[/C][C]26263.6975520913[/C][C]-2323.69755209127[/C][/ROW]
[ROW][C]102[/C][C]24584[/C][C]25838.5323099926[/C][C]-1254.53230999264[/C][/ROW]
[ROW][C]103[/C][C]34303[/C][C]30346.0875320326[/C][C]3956.91246796743[/C][/ROW]
[ROW][C]104[/C][C]25517[/C][C]32052.1394602351[/C][C]-6535.13946023508[/C][/ROW]
[ROW][C]105[/C][C]23494[/C][C]26286.2661739538[/C][C]-2792.26617395383[/C][/ROW]
[ROW][C]106[/C][C]29095[/C][C]27447.7536369825[/C][C]1647.24636301752[/C][/ROW]
[ROW][C]107[/C][C]32903[/C][C]32813.0713678031[/C][C]89.9286321968684[/C][/ROW]
[ROW][C]108[/C][C]34379[/C][C]38150.9680680047[/C][C]-3771.96806800469[/C][/ROW]
[ROW][C]109[/C][C]16991[/C][C]19758.4569672235[/C][C]-2767.45696722354[/C][/ROW]
[ROW][C]110[/C][C]21109[/C][C]21370.7346646520[/C][C]-261.734664651962[/C][/ROW]
[ROW][C]111[/C][C]23740[/C][C]24135.5985914489[/C][C]-395.598591448877[/C][/ROW]
[ROW][C]112[/C][C]25552[/C][C]25253.8254327628[/C][C]298.174567237234[/C][/ROW]
[ROW][C]113[/C][C]21752[/C][C]24445.4639142612[/C][C]-2693.46391426115[/C][/ROW]
[ROW][C]114[/C][C]20294[/C][C]24178.5015986717[/C][C]-3884.50159867166[/C][/ROW]
[ROW][C]115[/C][C]29009[/C][C]29342.9348101488[/C][C]-333.934810148752[/C][/ROW]
[ROW][C]116[/C][C]25500[/C][C]27983.8777426644[/C][C]-2483.87774266444[/C][/ROW]
[ROW][C]117[/C][C]24166[/C][C]23648.7372295099[/C][C]517.26277049015[/C][/ROW]
[ROW][C]118[/C][C]26960[/C][C]25908.3883305819[/C][C]1051.61166941807[/C][/ROW]
[ROW][C]119[/C][C]31222[/C][C]30365.2567014461[/C][C]856.743298553884[/C][/ROW]
[ROW][C]120[/C][C]38641[/C][C]34310.4905813879[/C][C]4330.50941861207[/C][/ROW]
[ROW][C]121[/C][C]14672[/C][C]17809.3649304867[/C][C]-3137.36493048673[/C][/ROW]
[ROW][C]122[/C][C]17543[/C][C]19821.1469914741[/C][C]-2278.14699147414[/C][/ROW]
[ROW][C]123[/C][C]25453[/C][C]22127.7322462210[/C][C]3325.26775377896[/C][/ROW]
[ROW][C]124[/C][C]32683[/C][C]23538.7101707589[/C][C]9144.28982924112[/C][/ROW]
[ROW][C]125[/C][C]22449[/C][C]22655.5325845493[/C][C]-206.532584549277[/C][/ROW]
[ROW][C]126[/C][C]22316[/C][C]22283.7459971534[/C][C]32.2540028465628[/C][/ROW]
[ROW][C]127[/C][C]27595[/C][C]28516.2649897776[/C][C]-921.264989777639[/C][/ROW]
[ROW][C]128[/C][C]25451[/C][C]26667.0999819650[/C][C]-1216.09998196495[/C][/ROW]
[ROW][C]129[/C][C]25421[/C][C]23316.8806862367[/C][C]2104.11931376332[/C][/ROW]
[ROW][C]130[/C][C]25288[/C][C]25860.9884555389[/C][C]-572.98845553894[/C][/ROW]
[ROW][C]131[/C][C]32568[/C][C]30156.9450286538[/C][C]2411.05497134623[/C][/ROW]
[ROW][C]132[/C][C]35110[/C][C]35137.5427455489[/C][C]-27.5427455488971[/C][/ROW]
[ROW][C]133[/C][C]16052[/C][C]16751.0333770975[/C][C]-699.033377097487[/C][/ROW]
[ROW][C]134[/C][C]22146[/C][C]19190.1297599036[/C][C]2955.87024009641[/C][/ROW]
[ROW][C]135[/C][C]21198[/C][C]23460.954716575[/C][C]-2262.95471657499[/C][/ROW]
[ROW][C]136[/C][C]19543[/C][C]26002.1866122241[/C][C]-6459.18661222411[/C][/ROW]
[ROW][C]137[/C][C]22084[/C][C]21756.9413852293[/C][C]327.058614770725[/C][/ROW]
[ROW][C]138[/C][C]23816[/C][C]21470.4519348250[/C][C]2345.54806517496[/C][/ROW]
[ROW][C]139[/C][C]29961[/C][C]27431.6991197466[/C][C]2529.30088025342[/C][/ROW]
[ROW][C]140[/C][C]26773[/C][C]25798.3488840879[/C][C]974.65111591213[/C][/ROW]
[ROW][C]141[/C][C]26635[/C][C]23508.6205286486[/C][C]3126.37947135138[/C][/ROW]
[ROW][C]142[/C][C]26972[/C][C]25452.6853844270[/C][C]1519.31461557297[/C][/ROW]
[ROW][C]143[/C][C]30207[/C][C]30688.9221083319[/C][C]-481.922108331928[/C][/ROW]
[ROW][C]144[/C][C]38687[/C][C]34849.288334656[/C][C]3837.71166534397[/C][/ROW]
[ROW][C]145[/C][C]16974[/C][C]16598.4923302349[/C][C]375.507669765077[/C][/ROW]
[ROW][C]146[/C][C]21697[/C][C]20108.9694257825[/C][C]1588.03057421751[/C][/ROW]
[ROW][C]147[/C][C]24179[/C][C]22998.3744156818[/C][C]1180.62558431819[/C][/ROW]
[ROW][C]148[/C][C]23757[/C][C]24772.5356251825[/C][C]-1015.53562518251[/C][/ROW]
[ROW][C]149[/C][C]25013[/C][C]22670.9589960656[/C][C]2342.04100393441[/C][/ROW]
[ROW][C]150[/C][C]24019[/C][C]23159.1013325659[/C][C]859.898667434092[/C][/ROW]
[ROW][C]151[/C][C]30345[/C][C]29448.9416142900[/C][C]896.058385710039[/C][/ROW]
[ROW][C]152[/C][C]24488[/C][C]27314.5296019602[/C][C]-2826.52960196018[/C][/ROW]
[ROW][C]153[/C][C]25156[/C][C]25312.0172500213[/C][C]-156.017250021254[/C][/ROW]
[ROW][C]154[/C][C]25650[/C][C]26713.8727180966[/C][C]-1063.87271809665[/C][/ROW]
[ROW][C]155[/C][C]30923[/C][C]31428.21764374[/C][C]-505.217643740001[/C][/ROW]
[ROW][C]156[/C][C]37240[/C][C]36888.5310577561[/C][C]351.468942243853[/C][/ROW]
[ROW][C]157[/C][C]17466[/C][C]17085.1903514527[/C][C]380.809648547252[/C][/ROW]
[ROW][C]158[/C][C]19463[/C][C]21009.6602130812[/C][C]-1546.66021308122[/C][/ROW]
[ROW][C]159[/C][C]24352[/C][C]23607.1702664655[/C][C]744.82973353445[/C][/ROW]
[ROW][C]160[/C][C]26805[/C][C]24793.5059875465[/C][C]2011.49401245346[/C][/ROW]
[ROW][C]161[/C][C]25236[/C][C]23744.6005542153[/C][C]1491.39944578473[/C][/ROW]
[ROW][C]162[/C][C]24735[/C][C]23797.7173186204[/C][C]937.282681379598[/C][/ROW]
[ROW][C]163[/C][C]29356[/C][C]30221.1128114769[/C][C]-865.112811476898[/C][/ROW]
[ROW][C]164[/C][C]31234[/C][C]26957.4529359636[/C][C]4276.54706403644[/C][/ROW]
[ROW][C]165[/C][C]22724[/C][C]26134.9080071044[/C][C]-3410.90800710437[/C][/ROW]
[ROW][C]166[/C][C]28496[/C][C]27126.8289212359[/C][C]1369.17107876414[/C][/ROW]
[ROW][C]167[/C][C]32857[/C][C]32354.7527072292[/C][C]502.247292770757[/C][/ROW]
[ROW][C]168[/C][C]37198[/C][C]38367.5698422472[/C][C]-1169.56984224721[/C][/ROW]
[ROW][C]169[/C][C]13652[/C][C]17800.497034701[/C][C]-4148.49703470101[/C][/ROW]
[ROW][C]170[/C][C]22784[/C][C]20965.8167701009[/C][C]1818.18322989905[/C][/ROW]
[ROW][C]171[/C][C]23565[/C][C]24491.8262396236[/C][C]-926.826239623639[/C][/ROW]
[ROW][C]172[/C][C]26323[/C][C]25922.5372462624[/C][C]400.462753737571[/C][/ROW]
[ROW][C]173[/C][C]23779[/C][C]24594.0510975169[/C][C]-815.051097516913[/C][/ROW]
[ROW][C]174[/C][C]27549[/C][C]24320.1342463670[/C][C]3228.86575363305[/C][/ROW]
[ROW][C]175[/C][C]29660[/C][C]30540.1221802575[/C][C]-880.122180257495[/C][/ROW]
[ROW][C]176[/C][C]23356[/C][C]28536.6697519588[/C][C]-5180.66975195879[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42000&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42000&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
131502814321.6838979972706.316102002787
141797717069.4160535447907.583946455306
152000819050.8439326332957.156067366803
162135420594.1425361458759.85746385418
171949819004.1288347880493.871165211971
182212521757.4644496887367.535550311321
192581724290.91202996251526.08797003750
202877925468.28392467463310.71607532535
212096023042.1510861182-2082.15108611822
222225424523.2293633099-2269.2293633099
232739228844.5021876792-1452.50218767915
242994531899.8676637324-1954.86766373242
251693316195.4241625049737.575837495142
261789219314.2164644429-1422.21646444291
272053321332.8072665367-799.807266536678
282356922812.4192922810756.580707718975
292241720958.65302350911458.34697649086
302208423985.8132815679-1901.81328156789
312658026864.8774314884-284.877431488352
322745428432.6130081043-978.613008104294
332408123975.6887334772105.311266522775
342345125609.0416780825-2158.04167808247
352899130404.3283513062-1413.32835130620
363138633461.1532316215-2075.15323162147
371689617419.8101742070-523.810174207032
382004519987.123180556657.876819443376
392347122355.33641719551115.66358280452
402174724450.3230768301-2703.32307683013
412562122387.30439160713233.69560839292
422385924738.742002527-879.742002527011
432550028245.7536118687-2745.75361186865
443099829465.55796526721532.44203473282
452447525204.5483869939-729.548386993894
462314526197.9138248614-3052.91382486144
472970131277.8847142151-1576.88471421506
483436534202.1348333372162.865166662828
491755618008.2840409601-452.284040960138
502207720811.98015589561265.01984410444
512570223622.37532126732079.62467873271
522221424825.2539082843-2611.25390828432
532688624240.38227317662645.61772682340
542319125513.7939720525-2322.79397205250
552783128509.5071560244-678.5071560244
563540631036.41574288264369.58425711737
572319526154.496343106-2959.49634310599
582511026383.7491860897-1273.74918608966
593000932191.5348743202-2182.53487432016
603624235640.0309609682601.969039031806
611845018627.0175778720-177.017577872048
622184522015.8478416554-170.847841655421
632648825017.02076434221470.97923565783
642239424940.6931600334-2546.69316003338
652805725704.26220337362352.73779662641
662545125647.0675347378-196.067534737773
672487229319.6100640472-4447.61006404716
683342432916.938012254507.061987745998
692405225720.7217749869-1668.72177498689
702844926433.79170391382015.20829608625
713353332331.25839854111201.74160145888
723735136839.8832867459511.116713254072
731996919112.5405429888856.459457011177
742170122683.3965436547-982.396543654671
752624926141.2192762621107.780723737924
762449324890.2002096102-397.200209610186
772460327118.6424433366-2515.64244333658
782648526022.1427589437462.857241056325
793072328656.15716949562066.84283050439
803456934157.4229120796411.577087920385
812668926144.2061451959544.793854804131
822615728046.0223252544-1889.02232525437
833206433630.5021480142-1566.50214801419
843887037851.11226958711018.88773041295
852133719799.21535936381537.78464063620
861941923019.9230621463-3600.92306214629
872316626616.3935327637-3450.39353276375
882828624930.64602521913355.35397478092
892457026876.3395178581-2306.33951785808
902400126530.51676962-2529.51676962000
913315129337.84479168953813.15520831049
922487834540.161023167-9662.16102316701
932680425877.5979925023926.402007497702
942896727079.87488187551887.12511812446
953331132890.1166771892420.883322810798
964022637812.60643254162413.39356745841
972050420053.1493755979450.85062440205
982306021813.58043826071246.41956173927
992356225774.3256813748-2212.32568137482
1002756225905.01923682241656.98076317764
1012394026263.6975520913-2323.69755209127
1022458425838.5323099926-1254.53230999264
1033430330346.08753203263956.91246796743
1042551732052.1394602351-6535.13946023508
1052349426286.2661739538-2792.26617395383
1062909527447.75363698251647.24636301752
1073290332813.071367803189.9286321968684
1083437938150.9680680047-3771.96806800469
1091699119758.4569672235-2767.45696722354
1102110921370.7346646520-261.734664651962
1112374024135.5985914489-395.598591448877
1122555225253.8254327628298.174567237234
1132175224445.4639142612-2693.46391426115
1142029424178.5015986717-3884.50159867166
1152900929342.9348101488-333.934810148752
1162550027983.8777426644-2483.87774266444
1172416623648.7372295099517.26277049015
1182696025908.38833058191051.61166941807
1193122230365.2567014461856.743298553884
1203864134310.49058138794330.50941861207
1211467217809.3649304867-3137.36493048673
1221754319821.1469914741-2278.14699147414
1232545322127.73224622103325.26775377896
1243268323538.71017075899144.28982924112
1252244922655.5325845493-206.532584549277
1262231622283.745997153432.2540028465628
1272759528516.2649897776-921.264989777639
1282545126667.0999819650-1216.09998196495
1292542123316.88068623672104.11931376332
1302528825860.9884555389-572.98845553894
1313256830156.94502865382411.05497134623
1323511035137.5427455489-27.5427455488971
1331605216751.0333770975-699.033377097487
1342214619190.12975990362955.87024009641
1352119823460.954716575-2262.95471657499
1361954326002.1866122241-6459.18661222411
1372208421756.9413852293327.058614770725
1382381621470.45193482502345.54806517496
1392996127431.69911974662529.30088025342
1402677325798.3488840879974.65111591213
1412663523508.62052864863126.37947135138
1422697225452.68538442701519.31461557297
1433020730688.9221083319-481.922108331928
1443868734849.2883346563837.71166534397
1451697416598.4923302349375.507669765077
1462169720108.96942578251588.03057421751
1472417922998.37441568181180.62558431819
1482375724772.5356251825-1015.53562518251
1492501322670.95899606562342.04100393441
1502401923159.1013325659859.898667434092
1513034529448.9416142900896.058385710039
1522448827314.5296019602-2826.52960196018
1532515625312.0172500213-156.017250021254
1542565026713.8727180966-1063.87271809665
1553092331428.21764374-505.217643740001
1563724036888.5310577561351.468942243853
1571746617085.1903514527380.809648547252
1581946321009.6602130812-1546.66021308122
1592435223607.1702664655744.82973353445
1602680524793.50598754652011.49401245346
1612523623744.60055421531491.39944578473
1622473523797.7173186204937.282681379598
1632935630221.1128114769-865.112811476898
1643123426957.45293596364276.54706403644
1652272426134.9080071044-3410.90800710437
1662849627126.82892123591369.17107876414
1673285732354.7527072292502.247292770757
1683719838367.5698422472-1169.56984224721
1691365217800.497034701-4148.49703470101
1702278420965.81677010091818.18322989905
1712356524491.8262396236-926.826239623639
1722632325922.5372462624400.462753737571
1732377924594.0510975169-815.051097516913
1742754924320.13424636703228.86575363305
1752966030540.1221802575-880.122180257495
1762335628536.6697519588-5180.66975195879







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
17725038.050350782923551.113597143726524.9871044221
17827444.625684773525909.658362064728979.5930074824
17932268.879600274930651.784746410033885.9744541398
18037697.628284532235959.172228759539436.0843403049
18116563.034617837615008.540248678418117.5289869967
18221567.329063758819888.660193180623245.9979343371
18324243.458682857822440.639500118926046.2778655967
18426065.18677979824133.317099029427997.0564605666
18524378.295232389322419.168551216326337.4219135622
18625176.556304875923099.758889611927253.3537201399
18730040.675493974827638.712209664232442.6387782855
18826969.995832734525139.639086212028800.3525792569

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
177 & 25038.0503507829 & 23551.1135971437 & 26524.9871044221 \tabularnewline
178 & 27444.6256847735 & 25909.6583620647 & 28979.5930074824 \tabularnewline
179 & 32268.8796002749 & 30651.7847464100 & 33885.9744541398 \tabularnewline
180 & 37697.6282845322 & 35959.1722287595 & 39436.0843403049 \tabularnewline
181 & 16563.0346178376 & 15008.5402486784 & 18117.5289869967 \tabularnewline
182 & 21567.3290637588 & 19888.6601931806 & 23245.9979343371 \tabularnewline
183 & 24243.4586828578 & 22440.6395001189 & 26046.2778655967 \tabularnewline
184 & 26065.186779798 & 24133.3170990294 & 27997.0564605666 \tabularnewline
185 & 24378.2952323893 & 22419.1685512163 & 26337.4219135622 \tabularnewline
186 & 25176.5563048759 & 23099.7588896119 & 27253.3537201399 \tabularnewline
187 & 30040.6754939748 & 27638.7122096642 & 32442.6387782855 \tabularnewline
188 & 26969.9958327345 & 25139.6390862120 & 28800.3525792569 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42000&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]25038.0503507829[/C][C]23551.1135971437[/C][C]26524.9871044221[/C][/ROW]
[ROW][C]178[/C][C]27444.6256847735[/C][C]25909.6583620647[/C][C]28979.5930074824[/C][/ROW]
[ROW][C]179[/C][C]32268.8796002749[/C][C]30651.7847464100[/C][C]33885.9744541398[/C][/ROW]
[ROW][C]180[/C][C]37697.6282845322[/C][C]35959.1722287595[/C][C]39436.0843403049[/C][/ROW]
[ROW][C]181[/C][C]16563.0346178376[/C][C]15008.5402486784[/C][C]18117.5289869967[/C][/ROW]
[ROW][C]182[/C][C]21567.3290637588[/C][C]19888.6601931806[/C][C]23245.9979343371[/C][/ROW]
[ROW][C]183[/C][C]24243.4586828578[/C][C]22440.6395001189[/C][C]26046.2778655967[/C][/ROW]
[ROW][C]184[/C][C]26065.186779798[/C][C]24133.3170990294[/C][C]27997.0564605666[/C][/ROW]
[ROW][C]185[/C][C]24378.2952323893[/C][C]22419.1685512163[/C][C]26337.4219135622[/C][/ROW]
[ROW][C]186[/C][C]25176.5563048759[/C][C]23099.7588896119[/C][C]27253.3537201399[/C][/ROW]
[ROW][C]187[/C][C]30040.6754939748[/C][C]27638.7122096642[/C][C]32442.6387782855[/C][/ROW]
[ROW][C]188[/C][C]26969.9958327345[/C][C]25139.6390862120[/C][C]28800.3525792569[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42000&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42000&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
17725038.050350782923551.113597143726524.9871044221
17827444.625684773525909.658362064728979.5930074824
17932268.879600274930651.784746410033885.9744541398
18037697.628284532235959.172228759539436.0843403049
18116563.034617837615008.540248678418117.5289869967
18221567.329063758819888.660193180623245.9979343371
18324243.458682857822440.639500118926046.2778655967
18426065.18677979824133.317099029427997.0564605666
18524378.295232389322419.168551216326337.4219135622
18625176.556304875923099.758889611927253.3537201399
18730040.675493974827638.712209664232442.6387782855
18826969.995832734525139.639086212028800.3525792569



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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')