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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 computationSat, 24 May 2008 08:04:16 -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/2008/May/24/t1211638016nhz5kycal7wabnd.htm/, Retrieved Tue, 14 May 2024 14:51:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13072, Retrieved Tue, 14 May 2024 14:51:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact196
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Inschrijvingen ni...] [2008-05-24 14:04:16] [678dd736c2ca43f11132dfe6e57daf69] [Current]
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Dataseries X:
41086
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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13072&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13072&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13072&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.567279661944919
beta0
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.567279661944919 \tabularnewline
beta & 0 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13072&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]0.567279661944919[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13072&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13072&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
alpha0.567279661944919
beta0
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
23969041086-1396
34312940294.07759192492834.92240807511
43786341902.2714172178-4039.27141721782
53595339610.8748931547-3657.87489315472
62913337535.8368603291-8402.83686032911
72469332769.0784068233-8076.07840682331
82220528187.6833783599-5982.68337835992
92172524793.8287739604-3068.82877396042
102719223052.94462450134139.05537549868
112179025400.9465586855-3610.94655868551
121325323352.5300155732-10099.5300155732
133770217623.272042536320078.7279574637
143036429013.52605053031350.47394946971
153260929779.62245605092829.37754394911
163021231384.6707926969-1172.67079269688
172996530719.4385018431-754.438501843117
182835230291.4608835593-1939.46088355932
192581429191.2441691784-3377.2441691784
202241427275.4022385814-4861.40223858143
212050624517.6276201007-4011.62762010068
222880622241.91285992116564.08714007893
232222825965.5859937220-3737.58599372203
241397123845.3294747133-9874.32947471334
253684518243.823188365218601.1768116348
263533828795.89248184716542.10751815295
273502232507.09702315222514.90297684783
283477733933.7503336827843.249666317322
292688734412.1087193263-7525.10871932633
302397030143.2675889281-6173.26758892813
312278026641.2984379855-3861.29843798546
321735124450.8623654166-7099.86236541663
332138220423.2548429076958.74515709237
342456120967.13147151433593.86852848568
351740923005.8599954282-5596.85999542816
361151419830.8751492686-8316.87514926863
373151415112.881026153416401.1189738466
382707124416.90225315552654.0977468445
392946225922.51792575423539.48207424578
402610527930.3941202925-1825.39412029247
412239726894.8851608167-4497.88516081671
422384324343.3263873215-500.326387321544
432170524059.5014034597-2354.50140345966
441808922723.8406432562-4634.84064325623
452076420094.5898099813669.410190018734
462531620474.33259627764841.66740372242
471770423220.9120443110-5516.91204431096
481554820091.2800448344-4543.28004483439
492802917513.969676879610515.0303231204
502938323478.93252391995904.06747608007
513643826828.18992585069609.81007414938
523203432279.6397360690-245.639736068955
532267932140.2933096315-9461.29330963152
542431926773.0940393820-2454.09403938203
551800425380.9364023404-7376.93640234035
561753721196.1504138316-3659.15041383155
572036619120.38880406761245.61119593242
582278219826.99870221092955.00129778907
591916921503.3108394675-2334.31083946751
601380720179.1037755800-6372.10377558002
612974316564.338899891013178.6611001090
622559124040.32531364751550.67468635250
632909624919.99152550814176.00847449191
642648227288.956201197-806.956201196976
652240526831.1863601776-4426.1863601776
662704424320.30085807082723.69914192916
671797025865.3999865441-7895.39998654408
681873021386.5001512574-2656.50015125744
691968419879.5216434955-195.521643495493
701978519768.606191670516.3938083295470
711847919777.9060657176-1298.90606571763
721069819041.0630718591-8343.06307185913

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 39690 & 41086 & -1396 \tabularnewline
3 & 43129 & 40294.0775919249 & 2834.92240807511 \tabularnewline
4 & 37863 & 41902.2714172178 & -4039.27141721782 \tabularnewline
5 & 35953 & 39610.8748931547 & -3657.87489315472 \tabularnewline
6 & 29133 & 37535.8368603291 & -8402.83686032911 \tabularnewline
7 & 24693 & 32769.0784068233 & -8076.07840682331 \tabularnewline
8 & 22205 & 28187.6833783599 & -5982.68337835992 \tabularnewline
9 & 21725 & 24793.8287739604 & -3068.82877396042 \tabularnewline
10 & 27192 & 23052.9446245013 & 4139.05537549868 \tabularnewline
11 & 21790 & 25400.9465586855 & -3610.94655868551 \tabularnewline
12 & 13253 & 23352.5300155732 & -10099.5300155732 \tabularnewline
13 & 37702 & 17623.2720425363 & 20078.7279574637 \tabularnewline
14 & 30364 & 29013.5260505303 & 1350.47394946971 \tabularnewline
15 & 32609 & 29779.6224560509 & 2829.37754394911 \tabularnewline
16 & 30212 & 31384.6707926969 & -1172.67079269688 \tabularnewline
17 & 29965 & 30719.4385018431 & -754.438501843117 \tabularnewline
18 & 28352 & 30291.4608835593 & -1939.46088355932 \tabularnewline
19 & 25814 & 29191.2441691784 & -3377.2441691784 \tabularnewline
20 & 22414 & 27275.4022385814 & -4861.40223858143 \tabularnewline
21 & 20506 & 24517.6276201007 & -4011.62762010068 \tabularnewline
22 & 28806 & 22241.9128599211 & 6564.08714007893 \tabularnewline
23 & 22228 & 25965.5859937220 & -3737.58599372203 \tabularnewline
24 & 13971 & 23845.3294747133 & -9874.32947471334 \tabularnewline
25 & 36845 & 18243.8231883652 & 18601.1768116348 \tabularnewline
26 & 35338 & 28795.8924818471 & 6542.10751815295 \tabularnewline
27 & 35022 & 32507.0970231522 & 2514.90297684783 \tabularnewline
28 & 34777 & 33933.7503336827 & 843.249666317322 \tabularnewline
29 & 26887 & 34412.1087193263 & -7525.10871932633 \tabularnewline
30 & 23970 & 30143.2675889281 & -6173.26758892813 \tabularnewline
31 & 22780 & 26641.2984379855 & -3861.29843798546 \tabularnewline
32 & 17351 & 24450.8623654166 & -7099.86236541663 \tabularnewline
33 & 21382 & 20423.2548429076 & 958.74515709237 \tabularnewline
34 & 24561 & 20967.1314715143 & 3593.86852848568 \tabularnewline
35 & 17409 & 23005.8599954282 & -5596.85999542816 \tabularnewline
36 & 11514 & 19830.8751492686 & -8316.87514926863 \tabularnewline
37 & 31514 & 15112.8810261534 & 16401.1189738466 \tabularnewline
38 & 27071 & 24416.9022531555 & 2654.0977468445 \tabularnewline
39 & 29462 & 25922.5179257542 & 3539.48207424578 \tabularnewline
40 & 26105 & 27930.3941202925 & -1825.39412029247 \tabularnewline
41 & 22397 & 26894.8851608167 & -4497.88516081671 \tabularnewline
42 & 23843 & 24343.3263873215 & -500.326387321544 \tabularnewline
43 & 21705 & 24059.5014034597 & -2354.50140345966 \tabularnewline
44 & 18089 & 22723.8406432562 & -4634.84064325623 \tabularnewline
45 & 20764 & 20094.5898099813 & 669.410190018734 \tabularnewline
46 & 25316 & 20474.3325962776 & 4841.66740372242 \tabularnewline
47 & 17704 & 23220.9120443110 & -5516.91204431096 \tabularnewline
48 & 15548 & 20091.2800448344 & -4543.28004483439 \tabularnewline
49 & 28029 & 17513.9696768796 & 10515.0303231204 \tabularnewline
50 & 29383 & 23478.9325239199 & 5904.06747608007 \tabularnewline
51 & 36438 & 26828.1899258506 & 9609.81007414938 \tabularnewline
52 & 32034 & 32279.6397360690 & -245.639736068955 \tabularnewline
53 & 22679 & 32140.2933096315 & -9461.29330963152 \tabularnewline
54 & 24319 & 26773.0940393820 & -2454.09403938203 \tabularnewline
55 & 18004 & 25380.9364023404 & -7376.93640234035 \tabularnewline
56 & 17537 & 21196.1504138316 & -3659.15041383155 \tabularnewline
57 & 20366 & 19120.3888040676 & 1245.61119593242 \tabularnewline
58 & 22782 & 19826.9987022109 & 2955.00129778907 \tabularnewline
59 & 19169 & 21503.3108394675 & -2334.31083946751 \tabularnewline
60 & 13807 & 20179.1037755800 & -6372.10377558002 \tabularnewline
61 & 29743 & 16564.3388998910 & 13178.6611001090 \tabularnewline
62 & 25591 & 24040.3253136475 & 1550.67468635250 \tabularnewline
63 & 29096 & 24919.9915255081 & 4176.00847449191 \tabularnewline
64 & 26482 & 27288.956201197 & -806.956201196976 \tabularnewline
65 & 22405 & 26831.1863601776 & -4426.1863601776 \tabularnewline
66 & 27044 & 24320.3008580708 & 2723.69914192916 \tabularnewline
67 & 17970 & 25865.3999865441 & -7895.39998654408 \tabularnewline
68 & 18730 & 21386.5001512574 & -2656.50015125744 \tabularnewline
69 & 19684 & 19879.5216434955 & -195.521643495493 \tabularnewline
70 & 19785 & 19768.6061916705 & 16.3938083295470 \tabularnewline
71 & 18479 & 19777.9060657176 & -1298.90606571763 \tabularnewline
72 & 10698 & 19041.0630718591 & -8343.06307185913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13072&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]39690[/C][C]41086[/C][C]-1396[/C][/ROW]
[ROW][C]3[/C][C]43129[/C][C]40294.0775919249[/C][C]2834.92240807511[/C][/ROW]
[ROW][C]4[/C][C]37863[/C][C]41902.2714172178[/C][C]-4039.27141721782[/C][/ROW]
[ROW][C]5[/C][C]35953[/C][C]39610.8748931547[/C][C]-3657.87489315472[/C][/ROW]
[ROW][C]6[/C][C]29133[/C][C]37535.8368603291[/C][C]-8402.83686032911[/C][/ROW]
[ROW][C]7[/C][C]24693[/C][C]32769.0784068233[/C][C]-8076.07840682331[/C][/ROW]
[ROW][C]8[/C][C]22205[/C][C]28187.6833783599[/C][C]-5982.68337835992[/C][/ROW]
[ROW][C]9[/C][C]21725[/C][C]24793.8287739604[/C][C]-3068.82877396042[/C][/ROW]
[ROW][C]10[/C][C]27192[/C][C]23052.9446245013[/C][C]4139.05537549868[/C][/ROW]
[ROW][C]11[/C][C]21790[/C][C]25400.9465586855[/C][C]-3610.94655868551[/C][/ROW]
[ROW][C]12[/C][C]13253[/C][C]23352.5300155732[/C][C]-10099.5300155732[/C][/ROW]
[ROW][C]13[/C][C]37702[/C][C]17623.2720425363[/C][C]20078.7279574637[/C][/ROW]
[ROW][C]14[/C][C]30364[/C][C]29013.5260505303[/C][C]1350.47394946971[/C][/ROW]
[ROW][C]15[/C][C]32609[/C][C]29779.6224560509[/C][C]2829.37754394911[/C][/ROW]
[ROW][C]16[/C][C]30212[/C][C]31384.6707926969[/C][C]-1172.67079269688[/C][/ROW]
[ROW][C]17[/C][C]29965[/C][C]30719.4385018431[/C][C]-754.438501843117[/C][/ROW]
[ROW][C]18[/C][C]28352[/C][C]30291.4608835593[/C][C]-1939.46088355932[/C][/ROW]
[ROW][C]19[/C][C]25814[/C][C]29191.2441691784[/C][C]-3377.2441691784[/C][/ROW]
[ROW][C]20[/C][C]22414[/C][C]27275.4022385814[/C][C]-4861.40223858143[/C][/ROW]
[ROW][C]21[/C][C]20506[/C][C]24517.6276201007[/C][C]-4011.62762010068[/C][/ROW]
[ROW][C]22[/C][C]28806[/C][C]22241.9128599211[/C][C]6564.08714007893[/C][/ROW]
[ROW][C]23[/C][C]22228[/C][C]25965.5859937220[/C][C]-3737.58599372203[/C][/ROW]
[ROW][C]24[/C][C]13971[/C][C]23845.3294747133[/C][C]-9874.32947471334[/C][/ROW]
[ROW][C]25[/C][C]36845[/C][C]18243.8231883652[/C][C]18601.1768116348[/C][/ROW]
[ROW][C]26[/C][C]35338[/C][C]28795.8924818471[/C][C]6542.10751815295[/C][/ROW]
[ROW][C]27[/C][C]35022[/C][C]32507.0970231522[/C][C]2514.90297684783[/C][/ROW]
[ROW][C]28[/C][C]34777[/C][C]33933.7503336827[/C][C]843.249666317322[/C][/ROW]
[ROW][C]29[/C][C]26887[/C][C]34412.1087193263[/C][C]-7525.10871932633[/C][/ROW]
[ROW][C]30[/C][C]23970[/C][C]30143.2675889281[/C][C]-6173.26758892813[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]26641.2984379855[/C][C]-3861.29843798546[/C][/ROW]
[ROW][C]32[/C][C]17351[/C][C]24450.8623654166[/C][C]-7099.86236541663[/C][/ROW]
[ROW][C]33[/C][C]21382[/C][C]20423.2548429076[/C][C]958.74515709237[/C][/ROW]
[ROW][C]34[/C][C]24561[/C][C]20967.1314715143[/C][C]3593.86852848568[/C][/ROW]
[ROW][C]35[/C][C]17409[/C][C]23005.8599954282[/C][C]-5596.85999542816[/C][/ROW]
[ROW][C]36[/C][C]11514[/C][C]19830.8751492686[/C][C]-8316.87514926863[/C][/ROW]
[ROW][C]37[/C][C]31514[/C][C]15112.8810261534[/C][C]16401.1189738466[/C][/ROW]
[ROW][C]38[/C][C]27071[/C][C]24416.9022531555[/C][C]2654.0977468445[/C][/ROW]
[ROW][C]39[/C][C]29462[/C][C]25922.5179257542[/C][C]3539.48207424578[/C][/ROW]
[ROW][C]40[/C][C]26105[/C][C]27930.3941202925[/C][C]-1825.39412029247[/C][/ROW]
[ROW][C]41[/C][C]22397[/C][C]26894.8851608167[/C][C]-4497.88516081671[/C][/ROW]
[ROW][C]42[/C][C]23843[/C][C]24343.3263873215[/C][C]-500.326387321544[/C][/ROW]
[ROW][C]43[/C][C]21705[/C][C]24059.5014034597[/C][C]-2354.50140345966[/C][/ROW]
[ROW][C]44[/C][C]18089[/C][C]22723.8406432562[/C][C]-4634.84064325623[/C][/ROW]
[ROW][C]45[/C][C]20764[/C][C]20094.5898099813[/C][C]669.410190018734[/C][/ROW]
[ROW][C]46[/C][C]25316[/C][C]20474.3325962776[/C][C]4841.66740372242[/C][/ROW]
[ROW][C]47[/C][C]17704[/C][C]23220.9120443110[/C][C]-5516.91204431096[/C][/ROW]
[ROW][C]48[/C][C]15548[/C][C]20091.2800448344[/C][C]-4543.28004483439[/C][/ROW]
[ROW][C]49[/C][C]28029[/C][C]17513.9696768796[/C][C]10515.0303231204[/C][/ROW]
[ROW][C]50[/C][C]29383[/C][C]23478.9325239199[/C][C]5904.06747608007[/C][/ROW]
[ROW][C]51[/C][C]36438[/C][C]26828.1899258506[/C][C]9609.81007414938[/C][/ROW]
[ROW][C]52[/C][C]32034[/C][C]32279.6397360690[/C][C]-245.639736068955[/C][/ROW]
[ROW][C]53[/C][C]22679[/C][C]32140.2933096315[/C][C]-9461.29330963152[/C][/ROW]
[ROW][C]54[/C][C]24319[/C][C]26773.0940393820[/C][C]-2454.09403938203[/C][/ROW]
[ROW][C]55[/C][C]18004[/C][C]25380.9364023404[/C][C]-7376.93640234035[/C][/ROW]
[ROW][C]56[/C][C]17537[/C][C]21196.1504138316[/C][C]-3659.15041383155[/C][/ROW]
[ROW][C]57[/C][C]20366[/C][C]19120.3888040676[/C][C]1245.61119593242[/C][/ROW]
[ROW][C]58[/C][C]22782[/C][C]19826.9987022109[/C][C]2955.00129778907[/C][/ROW]
[ROW][C]59[/C][C]19169[/C][C]21503.3108394675[/C][C]-2334.31083946751[/C][/ROW]
[ROW][C]60[/C][C]13807[/C][C]20179.1037755800[/C][C]-6372.10377558002[/C][/ROW]
[ROW][C]61[/C][C]29743[/C][C]16564.3388998910[/C][C]13178.6611001090[/C][/ROW]
[ROW][C]62[/C][C]25591[/C][C]24040.3253136475[/C][C]1550.67468635250[/C][/ROW]
[ROW][C]63[/C][C]29096[/C][C]24919.9915255081[/C][C]4176.00847449191[/C][/ROW]
[ROW][C]64[/C][C]26482[/C][C]27288.956201197[/C][C]-806.956201196976[/C][/ROW]
[ROW][C]65[/C][C]22405[/C][C]26831.1863601776[/C][C]-4426.1863601776[/C][/ROW]
[ROW][C]66[/C][C]27044[/C][C]24320.3008580708[/C][C]2723.69914192916[/C][/ROW]
[ROW][C]67[/C][C]17970[/C][C]25865.3999865441[/C][C]-7895.39998654408[/C][/ROW]
[ROW][C]68[/C][C]18730[/C][C]21386.5001512574[/C][C]-2656.50015125744[/C][/ROW]
[ROW][C]69[/C][C]19684[/C][C]19879.5216434955[/C][C]-195.521643495493[/C][/ROW]
[ROW][C]70[/C][C]19785[/C][C]19768.6061916705[/C][C]16.3938083295470[/C][/ROW]
[ROW][C]71[/C][C]18479[/C][C]19777.9060657176[/C][C]-1298.90606571763[/C][/ROW]
[ROW][C]72[/C][C]10698[/C][C]19041.0630718591[/C][C]-8343.06307185913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13072&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13072&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
23969041086-1396
34312940294.07759192492834.92240807511
43786341902.2714172178-4039.27141721782
53595339610.8748931547-3657.87489315472
62913337535.8368603291-8402.83686032911
72469332769.0784068233-8076.07840682331
82220528187.6833783599-5982.68337835992
92172524793.8287739604-3068.82877396042
102719223052.94462450134139.05537549868
112179025400.9465586855-3610.94655868551
121325323352.5300155732-10099.5300155732
133770217623.272042536320078.7279574637
143036429013.52605053031350.47394946971
153260929779.62245605092829.37754394911
163021231384.6707926969-1172.67079269688
172996530719.4385018431-754.438501843117
182835230291.4608835593-1939.46088355932
192581429191.2441691784-3377.2441691784
202241427275.4022385814-4861.40223858143
212050624517.6276201007-4011.62762010068
222880622241.91285992116564.08714007893
232222825965.5859937220-3737.58599372203
241397123845.3294747133-9874.32947471334
253684518243.823188365218601.1768116348
263533828795.89248184716542.10751815295
273502232507.09702315222514.90297684783
283477733933.7503336827843.249666317322
292688734412.1087193263-7525.10871932633
302397030143.2675889281-6173.26758892813
312278026641.2984379855-3861.29843798546
321735124450.8623654166-7099.86236541663
332138220423.2548429076958.74515709237
342456120967.13147151433593.86852848568
351740923005.8599954282-5596.85999542816
361151419830.8751492686-8316.87514926863
373151415112.881026153416401.1189738466
382707124416.90225315552654.0977468445
392946225922.51792575423539.48207424578
402610527930.3941202925-1825.39412029247
412239726894.8851608167-4497.88516081671
422384324343.3263873215-500.326387321544
432170524059.5014034597-2354.50140345966
441808922723.8406432562-4634.84064325623
452076420094.5898099813669.410190018734
462531620474.33259627764841.66740372242
471770423220.9120443110-5516.91204431096
481554820091.2800448344-4543.28004483439
492802917513.969676879610515.0303231204
502938323478.93252391995904.06747608007
513643826828.18992585069609.81007414938
523203432279.6397360690-245.639736068955
532267932140.2933096315-9461.29330963152
542431926773.0940393820-2454.09403938203
551800425380.9364023404-7376.93640234035
561753721196.1504138316-3659.15041383155
572036619120.38880406761245.61119593242
582278219826.99870221092955.00129778907
591916921503.3108394675-2334.31083946751
601380720179.1037755800-6372.10377558002
612974316564.338899891013178.6611001090
622559124040.32531364751550.67468635250
632909624919.99152550814176.00847449191
642648227288.956201197-806.956201196976
652240526831.1863601776-4426.1863601776
662704424320.30085807082723.69914192916
671797025865.3999865441-7895.39998654408
681873021386.5001512574-2656.50015125744
691968419879.5216434955-195.521643495493
701978519768.606191670516.3938083295470
711847919777.9060657176-1298.90606571763
721069819041.0630718591-8343.06307185913







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7314308.21307286971802.3110965900926814.1150491494
7414308.2130728697-69.801353238155628686.2274989776
7514308.2130728697-1724.7845705660730341.2107163056
7614308.2130728697-3224.2347890652831840.6609348048
7714308.2130728697-4605.180134815733221.6062805552
7814308.2130728697-5891.9393331289234508.3654788684
7914308.2130728697-7101.5013535915635717.9274993310
8014308.2130728697-8246.289502440536862.71564818
8114308.2130728697-9335.714287379237952.1404331187
8214308.2130728697-10377.106767346638993.5329130861
8314308.2130728697-11376.310092079839992.7362378193
8414308.2130728697-12338.070810776840954.4969565163

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 14308.2130728697 & 1802.31109659009 & 26814.1150491494 \tabularnewline
74 & 14308.2130728697 & -69.8013532381556 & 28686.2274989776 \tabularnewline
75 & 14308.2130728697 & -1724.78457056607 & 30341.2107163056 \tabularnewline
76 & 14308.2130728697 & -3224.23478906528 & 31840.6609348048 \tabularnewline
77 & 14308.2130728697 & -4605.1801348157 & 33221.6062805552 \tabularnewline
78 & 14308.2130728697 & -5891.93933312892 & 34508.3654788684 \tabularnewline
79 & 14308.2130728697 & -7101.50135359156 & 35717.9274993310 \tabularnewline
80 & 14308.2130728697 & -8246.2895024405 & 36862.71564818 \tabularnewline
81 & 14308.2130728697 & -9335.7142873792 & 37952.1404331187 \tabularnewline
82 & 14308.2130728697 & -10377.1067673466 & 38993.5329130861 \tabularnewline
83 & 14308.2130728697 & -11376.3100920798 & 39992.7362378193 \tabularnewline
84 & 14308.2130728697 & -12338.0708107768 & 40954.4969565163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13072&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]14308.2130728697[/C][C]1802.31109659009[/C][C]26814.1150491494[/C][/ROW]
[ROW][C]74[/C][C]14308.2130728697[/C][C]-69.8013532381556[/C][C]28686.2274989776[/C][/ROW]
[ROW][C]75[/C][C]14308.2130728697[/C][C]-1724.78457056607[/C][C]30341.2107163056[/C][/ROW]
[ROW][C]76[/C][C]14308.2130728697[/C][C]-3224.23478906528[/C][C]31840.6609348048[/C][/ROW]
[ROW][C]77[/C][C]14308.2130728697[/C][C]-4605.1801348157[/C][C]33221.6062805552[/C][/ROW]
[ROW][C]78[/C][C]14308.2130728697[/C][C]-5891.93933312892[/C][C]34508.3654788684[/C][/ROW]
[ROW][C]79[/C][C]14308.2130728697[/C][C]-7101.50135359156[/C][C]35717.9274993310[/C][/ROW]
[ROW][C]80[/C][C]14308.2130728697[/C][C]-8246.2895024405[/C][C]36862.71564818[/C][/ROW]
[ROW][C]81[/C][C]14308.2130728697[/C][C]-9335.7142873792[/C][C]37952.1404331187[/C][/ROW]
[ROW][C]82[/C][C]14308.2130728697[/C][C]-10377.1067673466[/C][C]38993.5329130861[/C][/ROW]
[ROW][C]83[/C][C]14308.2130728697[/C][C]-11376.3100920798[/C][C]39992.7362378193[/C][/ROW]
[ROW][C]84[/C][C]14308.2130728697[/C][C]-12338.0708107768[/C][C]40954.4969565163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13072&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13072&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
7314308.21307286971802.3110965900926814.1150491494
7414308.2130728697-69.801353238155628686.2274989776
7514308.2130728697-1724.7845705660730341.2107163056
7614308.2130728697-3224.2347890652831840.6609348048
7714308.2130728697-4605.180134815733221.6062805552
7814308.2130728697-5891.9393331289234508.3654788684
7914308.2130728697-7101.5013535915635717.9274993310
8014308.2130728697-8246.289502440536862.71564818
8114308.2130728697-9335.714287379237952.1404331187
8214308.2130728697-10377.106767346638993.5329130861
8314308.2130728697-11376.310092079839992.7362378193
8414308.2130728697-12338.070810776840954.4969565163



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Single ; 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')