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Author's title

Exponential Smoothing - Inschrijving nieuwe personenwagens - Wouter Schuurb...

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 20 May 2011 01:38:35 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/20/t1305855315qgbqdfhwz2idbu3.htm/, Retrieved Sun, 12 May 2024 14:22:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122341, Retrieved Sun, 12 May 2024 14:22:13 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W101
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2011-05-20 01:38:35] [118c7cedabc991c3d34fa0c13010a5e0] [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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122341&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122341&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122341&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

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







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.298636157964264
beta0
gamma0.619823384612923

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.298636157964264 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.619823384612923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122341&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]0.298636157964264[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.619823384612923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122341&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122341&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
alpha0.298636157964264
beta0
gamma0.619823384612923







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
133770240443.7037927351-2741.70379273505
143036431996.9844990367-1632.9844990367
153260933561.8688754693-952.868875469278
163021230629.3187020288-417.318702028831
172996529937.661508115127.3384918849406
182835228050.1283635362301.871636463784
192581421460.41407582164353.58592417843
202241420567.60484282561846.39515717439
212050621231.3911252214-725.391125221417
222880627004.35736647071801.64263352932
232222822474.1539271459-246.153927145915
241397113911.154390648759.8456093513323
253684536937.4508845054-92.450884505437
263533829763.87864852395574.12135147612
273502233776.72645335311245.27354664695
283477731733.43637492313043.56362507688
292688732268.6259182295-5381.62591822946
302397028885.1259418257-4915.12594182573
312278022498.7957064929281.204293507071
321735119299.8958109786-1948.89581097855
332138217712.25964878193669.74035121808
342456125896.3275057852-1335.32750578524
351740919539.0897329668-2130.0897329668
361151410546.5034874604967.496512539601
373151433777.6507675184-2263.65076751837
382707128419.0617149215-1348.06171492147
392946228482.8512422317979.14875776826
402610527141.8424180307-1036.84241803069
412239722795.8623688465-398.862368846509
422384321103.1934225262739.806577474
432170519261.86039202132443.13960797866
441808915739.11962076782349.88037923224
452076417877.79658659762886.20341340236
462531623652.06032332541663.9396766746
471770417845.0117838109-141.0117838109
481554810793.02412573864754.97587426142
492802933750.5998185582-5721.59981855822
502938327757.36858590541625.63141409456
513643829720.89932141486717.10067858518
523203429217.05528130392816.9447186961
532267926299.2991944364-3620.29919443636
542431925009.0402641702-690.040264170242
551800422014.4633780682-4010.46337806822
561753716523.90159460221013.09840539779
572036618496.51839448011869.48160551994
582278223435.8076545739-653.807654573939
591916916151.94437080393017.05562919615
601380712171.46196043551635.53803956448
612974329643.065818810799.9341811893391
622559128582.3560615794-2991.35606157939
632909631380.4596231728-2284.45962317278
642648226492.9417290902-10.941729090202
652240519932.26681401652472.73318598354
662704421735.4548383175308.545161683
671797019088.8124416346-1118.81244163462
681873016645.65355488632084.34644511374
691968419310.4721231373.527876899981
701978522706.0868861649-2921.0868861649
711847916340.93600906312138.0639909369
721069811497.3792234282-799.379223428243

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 37702 & 40443.7037927351 & -2741.70379273505 \tabularnewline
14 & 30364 & 31996.9844990367 & -1632.9844990367 \tabularnewline
15 & 32609 & 33561.8688754693 & -952.868875469278 \tabularnewline
16 & 30212 & 30629.3187020288 & -417.318702028831 \tabularnewline
17 & 29965 & 29937.6615081151 & 27.3384918849406 \tabularnewline
18 & 28352 & 28050.1283635362 & 301.871636463784 \tabularnewline
19 & 25814 & 21460.4140758216 & 4353.58592417843 \tabularnewline
20 & 22414 & 20567.6048428256 & 1846.39515717439 \tabularnewline
21 & 20506 & 21231.3911252214 & -725.391125221417 \tabularnewline
22 & 28806 & 27004.3573664707 & 1801.64263352932 \tabularnewline
23 & 22228 & 22474.1539271459 & -246.153927145915 \tabularnewline
24 & 13971 & 13911.1543906487 & 59.8456093513323 \tabularnewline
25 & 36845 & 36937.4508845054 & -92.450884505437 \tabularnewline
26 & 35338 & 29763.8786485239 & 5574.12135147612 \tabularnewline
27 & 35022 & 33776.7264533531 & 1245.27354664695 \tabularnewline
28 & 34777 & 31733.4363749231 & 3043.56362507688 \tabularnewline
29 & 26887 & 32268.6259182295 & -5381.62591822946 \tabularnewline
30 & 23970 & 28885.1259418257 & -4915.12594182573 \tabularnewline
31 & 22780 & 22498.7957064929 & 281.204293507071 \tabularnewline
32 & 17351 & 19299.8958109786 & -1948.89581097855 \tabularnewline
33 & 21382 & 17712.2596487819 & 3669.74035121808 \tabularnewline
34 & 24561 & 25896.3275057852 & -1335.32750578524 \tabularnewline
35 & 17409 & 19539.0897329668 & -2130.0897329668 \tabularnewline
36 & 11514 & 10546.5034874604 & 967.496512539601 \tabularnewline
37 & 31514 & 33777.6507675184 & -2263.65076751837 \tabularnewline
38 & 27071 & 28419.0617149215 & -1348.06171492147 \tabularnewline
39 & 29462 & 28482.8512422317 & 979.14875776826 \tabularnewline
40 & 26105 & 27141.8424180307 & -1036.84241803069 \tabularnewline
41 & 22397 & 22795.8623688465 & -398.862368846509 \tabularnewline
42 & 23843 & 21103.193422526 & 2739.806577474 \tabularnewline
43 & 21705 & 19261.8603920213 & 2443.13960797866 \tabularnewline
44 & 18089 & 15739.1196207678 & 2349.88037923224 \tabularnewline
45 & 20764 & 17877.7965865976 & 2886.20341340236 \tabularnewline
46 & 25316 & 23652.0603233254 & 1663.9396766746 \tabularnewline
47 & 17704 & 17845.0117838109 & -141.0117838109 \tabularnewline
48 & 15548 & 10793.0241257386 & 4754.97587426142 \tabularnewline
49 & 28029 & 33750.5998185582 & -5721.59981855822 \tabularnewline
50 & 29383 & 27757.3685859054 & 1625.63141409456 \tabularnewline
51 & 36438 & 29720.8993214148 & 6717.10067858518 \tabularnewline
52 & 32034 & 29217.0552813039 & 2816.9447186961 \tabularnewline
53 & 22679 & 26299.2991944364 & -3620.29919443636 \tabularnewline
54 & 24319 & 25009.0402641702 & -690.040264170242 \tabularnewline
55 & 18004 & 22014.4633780682 & -4010.46337806822 \tabularnewline
56 & 17537 & 16523.9015946022 & 1013.09840539779 \tabularnewline
57 & 20366 & 18496.5183944801 & 1869.48160551994 \tabularnewline
58 & 22782 & 23435.8076545739 & -653.807654573939 \tabularnewline
59 & 19169 & 16151.9443708039 & 3017.05562919615 \tabularnewline
60 & 13807 & 12171.4619604355 & 1635.53803956448 \tabularnewline
61 & 29743 & 29643.0658188107 & 99.9341811893391 \tabularnewline
62 & 25591 & 28582.3560615794 & -2991.35606157939 \tabularnewline
63 & 29096 & 31380.4596231728 & -2284.45962317278 \tabularnewline
64 & 26482 & 26492.9417290902 & -10.941729090202 \tabularnewline
65 & 22405 & 19932.2668140165 & 2472.73318598354 \tabularnewline
66 & 27044 & 21735.454838317 & 5308.545161683 \tabularnewline
67 & 17970 & 19088.8124416346 & -1118.81244163462 \tabularnewline
68 & 18730 & 16645.6535548863 & 2084.34644511374 \tabularnewline
69 & 19684 & 19310.4721231 & 373.527876899981 \tabularnewline
70 & 19785 & 22706.0868861649 & -2921.0868861649 \tabularnewline
71 & 18479 & 16340.9360090631 & 2138.0639909369 \tabularnewline
72 & 10698 & 11497.3792234282 & -799.379223428243 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122341&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]37702[/C][C]40443.7037927351[/C][C]-2741.70379273505[/C][/ROW]
[ROW][C]14[/C][C]30364[/C][C]31996.9844990367[/C][C]-1632.9844990367[/C][/ROW]
[ROW][C]15[/C][C]32609[/C][C]33561.8688754693[/C][C]-952.868875469278[/C][/ROW]
[ROW][C]16[/C][C]30212[/C][C]30629.3187020288[/C][C]-417.318702028831[/C][/ROW]
[ROW][C]17[/C][C]29965[/C][C]29937.6615081151[/C][C]27.3384918849406[/C][/ROW]
[ROW][C]18[/C][C]28352[/C][C]28050.1283635362[/C][C]301.871636463784[/C][/ROW]
[ROW][C]19[/C][C]25814[/C][C]21460.4140758216[/C][C]4353.58592417843[/C][/ROW]
[ROW][C]20[/C][C]22414[/C][C]20567.6048428256[/C][C]1846.39515717439[/C][/ROW]
[ROW][C]21[/C][C]20506[/C][C]21231.3911252214[/C][C]-725.391125221417[/C][/ROW]
[ROW][C]22[/C][C]28806[/C][C]27004.3573664707[/C][C]1801.64263352932[/C][/ROW]
[ROW][C]23[/C][C]22228[/C][C]22474.1539271459[/C][C]-246.153927145915[/C][/ROW]
[ROW][C]24[/C][C]13971[/C][C]13911.1543906487[/C][C]59.8456093513323[/C][/ROW]
[ROW][C]25[/C][C]36845[/C][C]36937.4508845054[/C][C]-92.450884505437[/C][/ROW]
[ROW][C]26[/C][C]35338[/C][C]29763.8786485239[/C][C]5574.12135147612[/C][/ROW]
[ROW][C]27[/C][C]35022[/C][C]33776.7264533531[/C][C]1245.27354664695[/C][/ROW]
[ROW][C]28[/C][C]34777[/C][C]31733.4363749231[/C][C]3043.56362507688[/C][/ROW]
[ROW][C]29[/C][C]26887[/C][C]32268.6259182295[/C][C]-5381.62591822946[/C][/ROW]
[ROW][C]30[/C][C]23970[/C][C]28885.1259418257[/C][C]-4915.12594182573[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]22498.7957064929[/C][C]281.204293507071[/C][/ROW]
[ROW][C]32[/C][C]17351[/C][C]19299.8958109786[/C][C]-1948.89581097855[/C][/ROW]
[ROW][C]33[/C][C]21382[/C][C]17712.2596487819[/C][C]3669.74035121808[/C][/ROW]
[ROW][C]34[/C][C]24561[/C][C]25896.3275057852[/C][C]-1335.32750578524[/C][/ROW]
[ROW][C]35[/C][C]17409[/C][C]19539.0897329668[/C][C]-2130.0897329668[/C][/ROW]
[ROW][C]36[/C][C]11514[/C][C]10546.5034874604[/C][C]967.496512539601[/C][/ROW]
[ROW][C]37[/C][C]31514[/C][C]33777.6507675184[/C][C]-2263.65076751837[/C][/ROW]
[ROW][C]38[/C][C]27071[/C][C]28419.0617149215[/C][C]-1348.06171492147[/C][/ROW]
[ROW][C]39[/C][C]29462[/C][C]28482.8512422317[/C][C]979.14875776826[/C][/ROW]
[ROW][C]40[/C][C]26105[/C][C]27141.8424180307[/C][C]-1036.84241803069[/C][/ROW]
[ROW][C]41[/C][C]22397[/C][C]22795.8623688465[/C][C]-398.862368846509[/C][/ROW]
[ROW][C]42[/C][C]23843[/C][C]21103.193422526[/C][C]2739.806577474[/C][/ROW]
[ROW][C]43[/C][C]21705[/C][C]19261.8603920213[/C][C]2443.13960797866[/C][/ROW]
[ROW][C]44[/C][C]18089[/C][C]15739.1196207678[/C][C]2349.88037923224[/C][/ROW]
[ROW][C]45[/C][C]20764[/C][C]17877.7965865976[/C][C]2886.20341340236[/C][/ROW]
[ROW][C]46[/C][C]25316[/C][C]23652.0603233254[/C][C]1663.9396766746[/C][/ROW]
[ROW][C]47[/C][C]17704[/C][C]17845.0117838109[/C][C]-141.0117838109[/C][/ROW]
[ROW][C]48[/C][C]15548[/C][C]10793.0241257386[/C][C]4754.97587426142[/C][/ROW]
[ROW][C]49[/C][C]28029[/C][C]33750.5998185582[/C][C]-5721.59981855822[/C][/ROW]
[ROW][C]50[/C][C]29383[/C][C]27757.3685859054[/C][C]1625.63141409456[/C][/ROW]
[ROW][C]51[/C][C]36438[/C][C]29720.8993214148[/C][C]6717.10067858518[/C][/ROW]
[ROW][C]52[/C][C]32034[/C][C]29217.0552813039[/C][C]2816.9447186961[/C][/ROW]
[ROW][C]53[/C][C]22679[/C][C]26299.2991944364[/C][C]-3620.29919443636[/C][/ROW]
[ROW][C]54[/C][C]24319[/C][C]25009.0402641702[/C][C]-690.040264170242[/C][/ROW]
[ROW][C]55[/C][C]18004[/C][C]22014.4633780682[/C][C]-4010.46337806822[/C][/ROW]
[ROW][C]56[/C][C]17537[/C][C]16523.9015946022[/C][C]1013.09840539779[/C][/ROW]
[ROW][C]57[/C][C]20366[/C][C]18496.5183944801[/C][C]1869.48160551994[/C][/ROW]
[ROW][C]58[/C][C]22782[/C][C]23435.8076545739[/C][C]-653.807654573939[/C][/ROW]
[ROW][C]59[/C][C]19169[/C][C]16151.9443708039[/C][C]3017.05562919615[/C][/ROW]
[ROW][C]60[/C][C]13807[/C][C]12171.4619604355[/C][C]1635.53803956448[/C][/ROW]
[ROW][C]61[/C][C]29743[/C][C]29643.0658188107[/C][C]99.9341811893391[/C][/ROW]
[ROW][C]62[/C][C]25591[/C][C]28582.3560615794[/C][C]-2991.35606157939[/C][/ROW]
[ROW][C]63[/C][C]29096[/C][C]31380.4596231728[/C][C]-2284.45962317278[/C][/ROW]
[ROW][C]64[/C][C]26482[/C][C]26492.9417290902[/C][C]-10.941729090202[/C][/ROW]
[ROW][C]65[/C][C]22405[/C][C]19932.2668140165[/C][C]2472.73318598354[/C][/ROW]
[ROW][C]66[/C][C]27044[/C][C]21735.454838317[/C][C]5308.545161683[/C][/ROW]
[ROW][C]67[/C][C]17970[/C][C]19088.8124416346[/C][C]-1118.81244163462[/C][/ROW]
[ROW][C]68[/C][C]18730[/C][C]16645.6535548863[/C][C]2084.34644511374[/C][/ROW]
[ROW][C]69[/C][C]19684[/C][C]19310.4721231[/C][C]373.527876899981[/C][/ROW]
[ROW][C]70[/C][C]19785[/C][C]22706.0868861649[/C][C]-2921.0868861649[/C][/ROW]
[ROW][C]71[/C][C]18479[/C][C]16340.9360090631[/C][C]2138.0639909369[/C][/ROW]
[ROW][C]72[/C][C]10698[/C][C]11497.3792234282[/C][C]-799.379223428243[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122341&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122341&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
133770240443.7037927351-2741.70379273505
143036431996.9844990367-1632.9844990367
153260933561.8688754693-952.868875469278
163021230629.3187020288-417.318702028831
172996529937.661508115127.3384918849406
182835228050.1283635362301.871636463784
192581421460.41407582164353.58592417843
202241420567.60484282561846.39515717439
212050621231.3911252214-725.391125221417
222880627004.35736647071801.64263352932
232222822474.1539271459-246.153927145915
241397113911.154390648759.8456093513323
253684536937.4508845054-92.450884505437
263533829763.87864852395574.12135147612
273502233776.72645335311245.27354664695
283477731733.43637492313043.56362507688
292688732268.6259182295-5381.62591822946
302397028885.1259418257-4915.12594182573
312278022498.7957064929281.204293507071
321735119299.8958109786-1948.89581097855
332138217712.25964878193669.74035121808
342456125896.3275057852-1335.32750578524
351740919539.0897329668-2130.0897329668
361151410546.5034874604967.496512539601
373151433777.6507675184-2263.65076751837
382707128419.0617149215-1348.06171492147
392946228482.8512422317979.14875776826
402610527141.8424180307-1036.84241803069
412239722795.8623688465-398.862368846509
422384321103.1934225262739.806577474
432170519261.86039202132443.13960797866
441808915739.11962076782349.88037923224
452076417877.79658659762886.20341340236
462531623652.06032332541663.9396766746
471770417845.0117838109-141.0117838109
481554810793.02412573864754.97587426142
492802933750.5998185582-5721.59981855822
502938327757.36858590541625.63141409456
513643829720.89932141486717.10067858518
523203429217.05528130392816.9447186961
532267926299.2991944364-3620.29919443636
542431925009.0402641702-690.040264170242
551800422014.4633780682-4010.46337806822
561753716523.90159460221013.09840539779
572036618496.51839448011869.48160551994
582278223435.8076545739-653.807654573939
591916916151.94437080393017.05562919615
601380712171.46196043551635.53803956448
612974329643.065818810799.9341811893391
622559128582.3560615794-2991.35606157939
632909631380.4596231728-2284.45962317278
642648226492.9417290902-10.941729090202
652240519932.26681401652472.73318598354
662704421735.4548383175308.545161683
671797019088.8124416346-1118.81244163462
681873016645.65355488632084.34644511374
691968419310.4721231373.527876899981
701978522706.0868861649-2921.0868861649
711847916340.93600906312138.0639909369
721069811497.3792234282-799.379223428243







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7327574.268409588622373.72964222732774.8071769501
7425139.863710709819712.37566086130567.3517605585
7529138.597582427223493.27654712134783.9186177335
7625921.649520809820066.594213462831776.7048281568
7720443.949608870514386.417461823126501.4817559179
7822741.479127331616488.022581313828994.9356733494
7915715.40130841679271.9750588695522158.827557964
8014998.84298070138370.889684715121626.7962766875
8116297.4703604959489.9900664217723104.9506545682
8218149.295628549511166.902699573425131.6885575256
8314855.80963875667702.7799257583322008.8393517549
848096.77929898877777.08961052130915416.4689874562

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 27574.2684095886 & 22373.729642227 & 32774.8071769501 \tabularnewline
74 & 25139.8637107098 & 19712.375660861 & 30567.3517605585 \tabularnewline
75 & 29138.5975824272 & 23493.276547121 & 34783.9186177335 \tabularnewline
76 & 25921.6495208098 & 20066.5942134628 & 31776.7048281568 \tabularnewline
77 & 20443.9496088705 & 14386.4174618231 & 26501.4817559179 \tabularnewline
78 & 22741.4791273316 & 16488.0225813138 & 28994.9356733494 \tabularnewline
79 & 15715.4013084167 & 9271.97505886955 & 22158.827557964 \tabularnewline
80 & 14998.8429807013 & 8370.8896847151 & 21626.7962766875 \tabularnewline
81 & 16297.470360495 & 9489.99006642177 & 23104.9506545682 \tabularnewline
82 & 18149.2956285495 & 11166.9026995734 & 25131.6885575256 \tabularnewline
83 & 14855.8096387566 & 7702.77992575833 & 22008.8393517549 \tabularnewline
84 & 8096.77929898877 & 777.089610521309 & 15416.4689874562 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122341&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]27574.2684095886[/C][C]22373.729642227[/C][C]32774.8071769501[/C][/ROW]
[ROW][C]74[/C][C]25139.8637107098[/C][C]19712.375660861[/C][C]30567.3517605585[/C][/ROW]
[ROW][C]75[/C][C]29138.5975824272[/C][C]23493.276547121[/C][C]34783.9186177335[/C][/ROW]
[ROW][C]76[/C][C]25921.6495208098[/C][C]20066.5942134628[/C][C]31776.7048281568[/C][/ROW]
[ROW][C]77[/C][C]20443.9496088705[/C][C]14386.4174618231[/C][C]26501.4817559179[/C][/ROW]
[ROW][C]78[/C][C]22741.4791273316[/C][C]16488.0225813138[/C][C]28994.9356733494[/C][/ROW]
[ROW][C]79[/C][C]15715.4013084167[/C][C]9271.97505886955[/C][C]22158.827557964[/C][/ROW]
[ROW][C]80[/C][C]14998.8429807013[/C][C]8370.8896847151[/C][C]21626.7962766875[/C][/ROW]
[ROW][C]81[/C][C]16297.470360495[/C][C]9489.99006642177[/C][C]23104.9506545682[/C][/ROW]
[ROW][C]82[/C][C]18149.2956285495[/C][C]11166.9026995734[/C][C]25131.6885575256[/C][/ROW]
[ROW][C]83[/C][C]14855.8096387566[/C][C]7702.77992575833[/C][C]22008.8393517549[/C][/ROW]
[ROW][C]84[/C][C]8096.77929898877[/C][C]777.089610521309[/C][C]15416.4689874562[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122341&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122341&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
7327574.268409588622373.72964222732774.8071769501
7425139.863710709819712.37566086130567.3517605585
7529138.597582427223493.27654712134783.9186177335
7625921.649520809820066.594213462831776.7048281568
7720443.949608870514386.417461823126501.4817559179
7822741.479127331616488.022581313828994.9356733494
7915715.40130841679271.9750588695522158.827557964
8014998.84298070138370.889684715121626.7962766875
8116297.4703604959489.9900664217723104.9506545682
8218149.295628549511166.902699573425131.6885575256
8314855.80963875667702.7799257583322008.8393517549
848096.77929898877777.08961052130915416.4689874562



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')