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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, 20 Jan 2010 15:20:58 -0700
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/Jan/20/t1264026122dibv7jhavo2fn9m.htm/, Retrieved Mon, 06 May 2024 00:50:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72321, Retrieved Mon, 06 May 2024 00:50:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W61
Estimated Impact170
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [KDGP2W61] [2010-01-20 22:20:58] [d00efe1a3b3f6588aa0a3288268f2e7e] [Current]
-   PD    [Exponential Smoothing] [Nicolas Van hoeij...] [2010-01-22 01:25:54] [8c77cc01643940e7a8195154a75bb218]
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Dataseries X:
39690

43129
37863
35953
29133
24693
22205
21725
27192
21790
13253
37702
30364
32609
30212
29965
28352
25814
22414
20506
28806
22228
13971
36845
35338
35022
34777
26887
23970
22780
17351
21382
24561
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=72321&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=72321&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72321&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 time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.562791973128805
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.562791973128805 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72321&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]0.562791973128805[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72321&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72321&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
alpha0.562791973128805
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
243129396903439
33786341625.44159559-3762.44159558996
43595339507.969666226-3554.96966622600
52913337507.2612733576-8374.26127335762
62469332794.2942478285-8101.29424782854
72220528234.9508731961-6029.95087319608
82172524841.3429234003-3116.3429234003
92719223087.49014059394104.50985940614
102179025397.4753430957-3607.47534309568
111325323367.2171767413-10114.2171767413
123770217675.016935189820026.9830648102
133036428946.04225005151417.95774994849
143260929744.05748995832864.9425100417
153021231356.4241380853-1144.42413808526
162996530712.351419316-747.351419316026
172835230291.7480394185-1939.74803941855
182581429200.0734129415-3386.07341294145
192241427294.4184757131-4880.41847571314
202050624547.7581320723-4041.75813207227
212880622273.08909801396532.91090198608
222222825949.7589148174-3721.75891481735
231397123855.1828716376-9884.18287163757
243684518292.444090542718552.5559094573
253533828733.67363740876604.32636259134
263502232450.5355021982571.46449780198
273477733897.7350807467879.264919253328
282688734392.5783195562-7505.57831955619
292397030168.4990876204-6198.49908762038
302278026680.0335556614-3900.03355566141
311735124485.1259756022-7134.12597560218
322138220470.0971412436911.902858756432
332456120983.30875042493577.6912495751
341740922996.8046680189-5587.80466801893
351151419852.0330534462-8338.03305344621
363151415159.454979284016354.5450207160
372707124363.66164111662707.33835888336
382946225887.32993803993574.67006196009
392610527899.1255554949-1794.12555549489
402239726889.4060940771-4492.40609407711
412384324361.1160042956-518.116004295585
422170524069.5244759285-2364.52447592846
431808922738.7890806093-4649.78908060933
442076420121.9251093004642.074890699565
452531620483.27970393374832.7202960663
461770423203.0958949365-5499.09589493648
471554820108.2488658007-4560.24886580067
482802917541.777408658310487.2225913417
492938323443.90210348055939.09789651952
503643826786.37872726789651.62127273216
513203432218.2337072407-184.233707240717
522267932114.5484556259-9435.54845562588
532431926804.2975227317-2485.29752273174
541800425405.5920261014-7401.59202610142
551753721240.0354454374-3703.03544543737
562036619155.99682053381210.00317946623
572278219836.97689739772945.0231026023
581916921494.4122602212-2325.41226022116
591380720185.6889059534-6378.68890595338
602974316595.813990597113147.1860094029
612559123994.94474592041596.05525407964
622909624893.19183158644202.80816841356
632648227258.4985333698-776.498533369762
642240526821.4913916430-4416.49139164297
652704424335.92548703382708.07451296616
661797025860.0080855659-7890.00808556589
671873021419.5748670880-2689.57486708804
681968419905.9037207619-221.903720761919
691978519781.01808790973.98191209030483
701847919783.2590760718-1304.25907607182
711069819049.2325371782-8351.2325371782

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 43129 & 39690 & 3439 \tabularnewline
3 & 37863 & 41625.44159559 & -3762.44159558996 \tabularnewline
4 & 35953 & 39507.969666226 & -3554.96966622600 \tabularnewline
5 & 29133 & 37507.2612733576 & -8374.26127335762 \tabularnewline
6 & 24693 & 32794.2942478285 & -8101.29424782854 \tabularnewline
7 & 22205 & 28234.9508731961 & -6029.95087319608 \tabularnewline
8 & 21725 & 24841.3429234003 & -3116.3429234003 \tabularnewline
9 & 27192 & 23087.4901405939 & 4104.50985940614 \tabularnewline
10 & 21790 & 25397.4753430957 & -3607.47534309568 \tabularnewline
11 & 13253 & 23367.2171767413 & -10114.2171767413 \tabularnewline
12 & 37702 & 17675.0169351898 & 20026.9830648102 \tabularnewline
13 & 30364 & 28946.0422500515 & 1417.95774994849 \tabularnewline
14 & 32609 & 29744.0574899583 & 2864.9425100417 \tabularnewline
15 & 30212 & 31356.4241380853 & -1144.42413808526 \tabularnewline
16 & 29965 & 30712.351419316 & -747.351419316026 \tabularnewline
17 & 28352 & 30291.7480394185 & -1939.74803941855 \tabularnewline
18 & 25814 & 29200.0734129415 & -3386.07341294145 \tabularnewline
19 & 22414 & 27294.4184757131 & -4880.41847571314 \tabularnewline
20 & 20506 & 24547.7581320723 & -4041.75813207227 \tabularnewline
21 & 28806 & 22273.0890980139 & 6532.91090198608 \tabularnewline
22 & 22228 & 25949.7589148174 & -3721.75891481735 \tabularnewline
23 & 13971 & 23855.1828716376 & -9884.18287163757 \tabularnewline
24 & 36845 & 18292.4440905427 & 18552.5559094573 \tabularnewline
25 & 35338 & 28733.6736374087 & 6604.32636259134 \tabularnewline
26 & 35022 & 32450.535502198 & 2571.46449780198 \tabularnewline
27 & 34777 & 33897.7350807467 & 879.264919253328 \tabularnewline
28 & 26887 & 34392.5783195562 & -7505.57831955619 \tabularnewline
29 & 23970 & 30168.4990876204 & -6198.49908762038 \tabularnewline
30 & 22780 & 26680.0335556614 & -3900.03355566141 \tabularnewline
31 & 17351 & 24485.1259756022 & -7134.12597560218 \tabularnewline
32 & 21382 & 20470.0971412436 & 911.902858756432 \tabularnewline
33 & 24561 & 20983.3087504249 & 3577.6912495751 \tabularnewline
34 & 17409 & 22996.8046680189 & -5587.80466801893 \tabularnewline
35 & 11514 & 19852.0330534462 & -8338.03305344621 \tabularnewline
36 & 31514 & 15159.4549792840 & 16354.5450207160 \tabularnewline
37 & 27071 & 24363.6616411166 & 2707.33835888336 \tabularnewline
38 & 29462 & 25887.3299380399 & 3574.67006196009 \tabularnewline
39 & 26105 & 27899.1255554949 & -1794.12555549489 \tabularnewline
40 & 22397 & 26889.4060940771 & -4492.40609407711 \tabularnewline
41 & 23843 & 24361.1160042956 & -518.116004295585 \tabularnewline
42 & 21705 & 24069.5244759285 & -2364.52447592846 \tabularnewline
43 & 18089 & 22738.7890806093 & -4649.78908060933 \tabularnewline
44 & 20764 & 20121.9251093004 & 642.074890699565 \tabularnewline
45 & 25316 & 20483.2797039337 & 4832.7202960663 \tabularnewline
46 & 17704 & 23203.0958949365 & -5499.09589493648 \tabularnewline
47 & 15548 & 20108.2488658007 & -4560.24886580067 \tabularnewline
48 & 28029 & 17541.7774086583 & 10487.2225913417 \tabularnewline
49 & 29383 & 23443.9021034805 & 5939.09789651952 \tabularnewline
50 & 36438 & 26786.3787272678 & 9651.62127273216 \tabularnewline
51 & 32034 & 32218.2337072407 & -184.233707240717 \tabularnewline
52 & 22679 & 32114.5484556259 & -9435.54845562588 \tabularnewline
53 & 24319 & 26804.2975227317 & -2485.29752273174 \tabularnewline
54 & 18004 & 25405.5920261014 & -7401.59202610142 \tabularnewline
55 & 17537 & 21240.0354454374 & -3703.03544543737 \tabularnewline
56 & 20366 & 19155.9968205338 & 1210.00317946623 \tabularnewline
57 & 22782 & 19836.9768973977 & 2945.0231026023 \tabularnewline
58 & 19169 & 21494.4122602212 & -2325.41226022116 \tabularnewline
59 & 13807 & 20185.6889059534 & -6378.68890595338 \tabularnewline
60 & 29743 & 16595.8139905971 & 13147.1860094029 \tabularnewline
61 & 25591 & 23994.9447459204 & 1596.05525407964 \tabularnewline
62 & 29096 & 24893.1918315864 & 4202.80816841356 \tabularnewline
63 & 26482 & 27258.4985333698 & -776.498533369762 \tabularnewline
64 & 22405 & 26821.4913916430 & -4416.49139164297 \tabularnewline
65 & 27044 & 24335.9254870338 & 2708.07451296616 \tabularnewline
66 & 17970 & 25860.0080855659 & -7890.00808556589 \tabularnewline
67 & 18730 & 21419.5748670880 & -2689.57486708804 \tabularnewline
68 & 19684 & 19905.9037207619 & -221.903720761919 \tabularnewline
69 & 19785 & 19781.0180879097 & 3.98191209030483 \tabularnewline
70 & 18479 & 19783.2590760718 & -1304.25907607182 \tabularnewline
71 & 10698 & 19049.2325371782 & -8351.2325371782 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72321&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]43129[/C][C]39690[/C][C]3439[/C][/ROW]
[ROW][C]3[/C][C]37863[/C][C]41625.44159559[/C][C]-3762.44159558996[/C][/ROW]
[ROW][C]4[/C][C]35953[/C][C]39507.969666226[/C][C]-3554.96966622600[/C][/ROW]
[ROW][C]5[/C][C]29133[/C][C]37507.2612733576[/C][C]-8374.26127335762[/C][/ROW]
[ROW][C]6[/C][C]24693[/C][C]32794.2942478285[/C][C]-8101.29424782854[/C][/ROW]
[ROW][C]7[/C][C]22205[/C][C]28234.9508731961[/C][C]-6029.95087319608[/C][/ROW]
[ROW][C]8[/C][C]21725[/C][C]24841.3429234003[/C][C]-3116.3429234003[/C][/ROW]
[ROW][C]9[/C][C]27192[/C][C]23087.4901405939[/C][C]4104.50985940614[/C][/ROW]
[ROW][C]10[/C][C]21790[/C][C]25397.4753430957[/C][C]-3607.47534309568[/C][/ROW]
[ROW][C]11[/C][C]13253[/C][C]23367.2171767413[/C][C]-10114.2171767413[/C][/ROW]
[ROW][C]12[/C][C]37702[/C][C]17675.0169351898[/C][C]20026.9830648102[/C][/ROW]
[ROW][C]13[/C][C]30364[/C][C]28946.0422500515[/C][C]1417.95774994849[/C][/ROW]
[ROW][C]14[/C][C]32609[/C][C]29744.0574899583[/C][C]2864.9425100417[/C][/ROW]
[ROW][C]15[/C][C]30212[/C][C]31356.4241380853[/C][C]-1144.42413808526[/C][/ROW]
[ROW][C]16[/C][C]29965[/C][C]30712.351419316[/C][C]-747.351419316026[/C][/ROW]
[ROW][C]17[/C][C]28352[/C][C]30291.7480394185[/C][C]-1939.74803941855[/C][/ROW]
[ROW][C]18[/C][C]25814[/C][C]29200.0734129415[/C][C]-3386.07341294145[/C][/ROW]
[ROW][C]19[/C][C]22414[/C][C]27294.4184757131[/C][C]-4880.41847571314[/C][/ROW]
[ROW][C]20[/C][C]20506[/C][C]24547.7581320723[/C][C]-4041.75813207227[/C][/ROW]
[ROW][C]21[/C][C]28806[/C][C]22273.0890980139[/C][C]6532.91090198608[/C][/ROW]
[ROW][C]22[/C][C]22228[/C][C]25949.7589148174[/C][C]-3721.75891481735[/C][/ROW]
[ROW][C]23[/C][C]13971[/C][C]23855.1828716376[/C][C]-9884.18287163757[/C][/ROW]
[ROW][C]24[/C][C]36845[/C][C]18292.4440905427[/C][C]18552.5559094573[/C][/ROW]
[ROW][C]25[/C][C]35338[/C][C]28733.6736374087[/C][C]6604.32636259134[/C][/ROW]
[ROW][C]26[/C][C]35022[/C][C]32450.535502198[/C][C]2571.46449780198[/C][/ROW]
[ROW][C]27[/C][C]34777[/C][C]33897.7350807467[/C][C]879.264919253328[/C][/ROW]
[ROW][C]28[/C][C]26887[/C][C]34392.5783195562[/C][C]-7505.57831955619[/C][/ROW]
[ROW][C]29[/C][C]23970[/C][C]30168.4990876204[/C][C]-6198.49908762038[/C][/ROW]
[ROW][C]30[/C][C]22780[/C][C]26680.0335556614[/C][C]-3900.03355566141[/C][/ROW]
[ROW][C]31[/C][C]17351[/C][C]24485.1259756022[/C][C]-7134.12597560218[/C][/ROW]
[ROW][C]32[/C][C]21382[/C][C]20470.0971412436[/C][C]911.902858756432[/C][/ROW]
[ROW][C]33[/C][C]24561[/C][C]20983.3087504249[/C][C]3577.6912495751[/C][/ROW]
[ROW][C]34[/C][C]17409[/C][C]22996.8046680189[/C][C]-5587.80466801893[/C][/ROW]
[ROW][C]35[/C][C]11514[/C][C]19852.0330534462[/C][C]-8338.03305344621[/C][/ROW]
[ROW][C]36[/C][C]31514[/C][C]15159.4549792840[/C][C]16354.5450207160[/C][/ROW]
[ROW][C]37[/C][C]27071[/C][C]24363.6616411166[/C][C]2707.33835888336[/C][/ROW]
[ROW][C]38[/C][C]29462[/C][C]25887.3299380399[/C][C]3574.67006196009[/C][/ROW]
[ROW][C]39[/C][C]26105[/C][C]27899.1255554949[/C][C]-1794.12555549489[/C][/ROW]
[ROW][C]40[/C][C]22397[/C][C]26889.4060940771[/C][C]-4492.40609407711[/C][/ROW]
[ROW][C]41[/C][C]23843[/C][C]24361.1160042956[/C][C]-518.116004295585[/C][/ROW]
[ROW][C]42[/C][C]21705[/C][C]24069.5244759285[/C][C]-2364.52447592846[/C][/ROW]
[ROW][C]43[/C][C]18089[/C][C]22738.7890806093[/C][C]-4649.78908060933[/C][/ROW]
[ROW][C]44[/C][C]20764[/C][C]20121.9251093004[/C][C]642.074890699565[/C][/ROW]
[ROW][C]45[/C][C]25316[/C][C]20483.2797039337[/C][C]4832.7202960663[/C][/ROW]
[ROW][C]46[/C][C]17704[/C][C]23203.0958949365[/C][C]-5499.09589493648[/C][/ROW]
[ROW][C]47[/C][C]15548[/C][C]20108.2488658007[/C][C]-4560.24886580067[/C][/ROW]
[ROW][C]48[/C][C]28029[/C][C]17541.7774086583[/C][C]10487.2225913417[/C][/ROW]
[ROW][C]49[/C][C]29383[/C][C]23443.9021034805[/C][C]5939.09789651952[/C][/ROW]
[ROW][C]50[/C][C]36438[/C][C]26786.3787272678[/C][C]9651.62127273216[/C][/ROW]
[ROW][C]51[/C][C]32034[/C][C]32218.2337072407[/C][C]-184.233707240717[/C][/ROW]
[ROW][C]52[/C][C]22679[/C][C]32114.5484556259[/C][C]-9435.54845562588[/C][/ROW]
[ROW][C]53[/C][C]24319[/C][C]26804.2975227317[/C][C]-2485.29752273174[/C][/ROW]
[ROW][C]54[/C][C]18004[/C][C]25405.5920261014[/C][C]-7401.59202610142[/C][/ROW]
[ROW][C]55[/C][C]17537[/C][C]21240.0354454374[/C][C]-3703.03544543737[/C][/ROW]
[ROW][C]56[/C][C]20366[/C][C]19155.9968205338[/C][C]1210.00317946623[/C][/ROW]
[ROW][C]57[/C][C]22782[/C][C]19836.9768973977[/C][C]2945.0231026023[/C][/ROW]
[ROW][C]58[/C][C]19169[/C][C]21494.4122602212[/C][C]-2325.41226022116[/C][/ROW]
[ROW][C]59[/C][C]13807[/C][C]20185.6889059534[/C][C]-6378.68890595338[/C][/ROW]
[ROW][C]60[/C][C]29743[/C][C]16595.8139905971[/C][C]13147.1860094029[/C][/ROW]
[ROW][C]61[/C][C]25591[/C][C]23994.9447459204[/C][C]1596.05525407964[/C][/ROW]
[ROW][C]62[/C][C]29096[/C][C]24893.1918315864[/C][C]4202.80816841356[/C][/ROW]
[ROW][C]63[/C][C]26482[/C][C]27258.4985333698[/C][C]-776.498533369762[/C][/ROW]
[ROW][C]64[/C][C]22405[/C][C]26821.4913916430[/C][C]-4416.49139164297[/C][/ROW]
[ROW][C]65[/C][C]27044[/C][C]24335.9254870338[/C][C]2708.07451296616[/C][/ROW]
[ROW][C]66[/C][C]17970[/C][C]25860.0080855659[/C][C]-7890.00808556589[/C][/ROW]
[ROW][C]67[/C][C]18730[/C][C]21419.5748670880[/C][C]-2689.57486708804[/C][/ROW]
[ROW][C]68[/C][C]19684[/C][C]19905.9037207619[/C][C]-221.903720761919[/C][/ROW]
[ROW][C]69[/C][C]19785[/C][C]19781.0180879097[/C][C]3.98191209030483[/C][/ROW]
[ROW][C]70[/C][C]18479[/C][C]19783.2590760718[/C][C]-1304.25907607182[/C][/ROW]
[ROW][C]71[/C][C]10698[/C][C]19049.2325371782[/C][C]-8351.2325371782[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72321&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72321&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
243129396903439
33786341625.44159559-3762.44159558996
43595339507.969666226-3554.96966622600
52913337507.2612733576-8374.26127335762
62469332794.2942478285-8101.29424782854
72220528234.9508731961-6029.95087319608
82172524841.3429234003-3116.3429234003
92719223087.49014059394104.50985940614
102179025397.4753430957-3607.47534309568
111325323367.2171767413-10114.2171767413
123770217675.016935189820026.9830648102
133036428946.04225005151417.95774994849
143260929744.05748995832864.9425100417
153021231356.4241380853-1144.42413808526
162996530712.351419316-747.351419316026
172835230291.7480394185-1939.74803941855
182581429200.0734129415-3386.07341294145
192241427294.4184757131-4880.41847571314
202050624547.7581320723-4041.75813207227
212880622273.08909801396532.91090198608
222222825949.7589148174-3721.75891481735
231397123855.1828716376-9884.18287163757
243684518292.444090542718552.5559094573
253533828733.67363740876604.32636259134
263502232450.5355021982571.46449780198
273477733897.7350807467879.264919253328
282688734392.5783195562-7505.57831955619
292397030168.4990876204-6198.49908762038
302278026680.0335556614-3900.03355566141
311735124485.1259756022-7134.12597560218
322138220470.0971412436911.902858756432
332456120983.30875042493577.6912495751
341740922996.8046680189-5587.80466801893
351151419852.0330534462-8338.03305344621
363151415159.454979284016354.5450207160
372707124363.66164111662707.33835888336
382946225887.32993803993574.67006196009
392610527899.1255554949-1794.12555549489
402239726889.4060940771-4492.40609407711
412384324361.1160042956-518.116004295585
422170524069.5244759285-2364.52447592846
431808922738.7890806093-4649.78908060933
442076420121.9251093004642.074890699565
452531620483.27970393374832.7202960663
461770423203.0958949365-5499.09589493648
471554820108.2488658007-4560.24886580067
482802917541.777408658310487.2225913417
492938323443.90210348055939.09789651952
503643826786.37872726789651.62127273216
513203432218.2337072407-184.233707240717
522267932114.5484556259-9435.54845562588
532431926804.2975227317-2485.29752273174
541800425405.5920261014-7401.59202610142
551753721240.0354454374-3703.03544543737
562036619155.99682053381210.00317946623
572278219836.97689739772945.0231026023
581916921494.4122602212-2325.41226022116
591380720185.6889059534-6378.68890595338
602974316595.813990597113147.1860094029
612559123994.94474592041596.05525407964
622909624893.19183158644202.80816841356
632648227258.4985333698-776.498533369762
642240526821.4913916430-4416.49139164297
652704424335.92548703382708.07451296616
661797025860.0080855659-7890.00808556589
671873021419.5748670880-2689.57486708804
681968419905.9037207619-221.903720761919
691978519781.01808790973.98191209030483
701847919783.2590760718-1304.25907607182
711069819049.2325371782-8351.2325371782







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7214349.22589952221752.8757771176826945.5760219267
7314349.2258995222-104.96816240810028803.4199614525
7414349.2258995222-1749.8242449329630448.2760439774
7514349.2258995222-3241.5417110007331939.9935100452
7614349.2258995222-4616.2900360162633314.7418350607
7714349.2258995222-5897.9093120306734596.3611110751
7814349.2258995222-7103.0973743948935801.5491734393
7914349.2258995222-8244.0886740941736942.5404731386
8014349.2258995222-9330.1649920553638028.6167910998
8114349.2258995222-10368.566125047239067.0179240916
8214349.2258995222-11365.068415967140063.5202150116
8314349.2258995222-12324.368191213841022.8199902583

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
72 & 14349.2258995222 & 1752.87577711768 & 26945.5760219267 \tabularnewline
73 & 14349.2258995222 & -104.968162408100 & 28803.4199614525 \tabularnewline
74 & 14349.2258995222 & -1749.82424493296 & 30448.2760439774 \tabularnewline
75 & 14349.2258995222 & -3241.54171100073 & 31939.9935100452 \tabularnewline
76 & 14349.2258995222 & -4616.29003601626 & 33314.7418350607 \tabularnewline
77 & 14349.2258995222 & -5897.90931203067 & 34596.3611110751 \tabularnewline
78 & 14349.2258995222 & -7103.09737439489 & 35801.5491734393 \tabularnewline
79 & 14349.2258995222 & -8244.08867409417 & 36942.5404731386 \tabularnewline
80 & 14349.2258995222 & -9330.16499205536 & 38028.6167910998 \tabularnewline
81 & 14349.2258995222 & -10368.5661250472 & 39067.0179240916 \tabularnewline
82 & 14349.2258995222 & -11365.0684159671 & 40063.5202150116 \tabularnewline
83 & 14349.2258995222 & -12324.3681912138 & 41022.8199902583 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72321&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]72[/C][C]14349.2258995222[/C][C]1752.87577711768[/C][C]26945.5760219267[/C][/ROW]
[ROW][C]73[/C][C]14349.2258995222[/C][C]-104.968162408100[/C][C]28803.4199614525[/C][/ROW]
[ROW][C]74[/C][C]14349.2258995222[/C][C]-1749.82424493296[/C][C]30448.2760439774[/C][/ROW]
[ROW][C]75[/C][C]14349.2258995222[/C][C]-3241.54171100073[/C][C]31939.9935100452[/C][/ROW]
[ROW][C]76[/C][C]14349.2258995222[/C][C]-4616.29003601626[/C][C]33314.7418350607[/C][/ROW]
[ROW][C]77[/C][C]14349.2258995222[/C][C]-5897.90931203067[/C][C]34596.3611110751[/C][/ROW]
[ROW][C]78[/C][C]14349.2258995222[/C][C]-7103.09737439489[/C][C]35801.5491734393[/C][/ROW]
[ROW][C]79[/C][C]14349.2258995222[/C][C]-8244.08867409417[/C][C]36942.5404731386[/C][/ROW]
[ROW][C]80[/C][C]14349.2258995222[/C][C]-9330.16499205536[/C][C]38028.6167910998[/C][/ROW]
[ROW][C]81[/C][C]14349.2258995222[/C][C]-10368.5661250472[/C][C]39067.0179240916[/C][/ROW]
[ROW][C]82[/C][C]14349.2258995222[/C][C]-11365.0684159671[/C][C]40063.5202150116[/C][/ROW]
[ROW][C]83[/C][C]14349.2258995222[/C][C]-12324.3681912138[/C][C]41022.8199902583[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72321&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72321&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
7214349.22589952221752.8757771176826945.5760219267
7314349.2258995222-104.96816240810028803.4199614525
7414349.2258995222-1749.8242449329630448.2760439774
7514349.2258995222-3241.5417110007331939.9935100452
7614349.2258995222-4616.2900360162633314.7418350607
7714349.2258995222-5897.9093120306734596.3611110751
7814349.2258995222-7103.0973743948935801.5491734393
7914349.2258995222-8244.0886740941736942.5404731386
8014349.2258995222-9330.1649920553638028.6167910998
8114349.2258995222-10368.566125047239067.0179240916
8214349.2258995222-11365.068415967140063.5202150116
8314349.2258995222-12324.368191213841022.8199902583



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