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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 25 May 2008 13:18:37 -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/25/t121174319980bdxltyysxn89m.htm/, Retrieved Mon, 20 May 2024 05:49:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13200, Retrieved Mon, 20 May 2024 05:49:29 +0000
QR Codes:

Original text written by user:bron: belgostat
IsPrivate?No (this computation is public)
User-defined keywordsperiode: januari 2000 tot en met januari 2008
Estimated Impact153
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Laurane Potié -Go...] [2008-05-25 19:18:37] [8c9b3412c86ca5b785d4e204c3e8d338] [Current]
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Dataseries X:
9026
9787
9536
9490
9736
9694
9647
9753
10070
10137
9984
9732
9103
9155
9308
9394
9948
10177
10002
9728
10002
10063
10018
9960
10236
10893
10756
10940
10997
10827
10166
10186
10457
10368
10244
10511
10812
10738
10171
9721
9897
9828
9924
10371
10846
10413
10709
10662
10570
10297
10635
10872
10296
10383
10431
10574
10653
10805
10872
10625
10407
10463
10556
10646
10702
11353
11346
11451
11964
12574
13031
13812
14544
14931
14886
16005
17064
15168
16050
15839
15137
14954
15648
15305
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745
19394




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13200&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13200&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13200&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'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13200&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]1[/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=13200&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13200&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
alpha1
beta0
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
297879026761
395369787-251
494909536-46
597369490246
696949736-42
796479694-47
897539647106
9100709753317
10101371007067
11998410137-153
1297329984-252
1391039732-629
149155910352
1593089155153
169394930886
1799489394554
18101779948229
191000210177-175
20972810002-274
21100029728274
22100631000261
231001810063-45
24996010018-58
25102369960276
261089310236657
271075610893-137
281094010756184
29109971094057
301082710997-170
311016610827-661
32101861016620
331045710186271
341036810457-89
351024410368-124
361051110244267
371081210511301
381073810812-74
391017110738-567
40972110171-450
4198979721176
4298289897-69
439924982896
44103719924447
451084610371475
461041310846-433
471070910413296
481066210709-47
491057010662-92
501029710570-273
511063510297338
521087210635237
531029610872-576
54103831029687
55104311038348
561057410431143
57106531057479
581080510653152
59108721080567
601062510872-247
611040710625-218
62104631040756
63105561046393
64106461055690
65107021064656
661135310702651
671134611353-7
681145111346105
691196411451513
701257411964610
711303112574457
721381213031781
731454413812732
741493114544387
751488614931-45
7616005148861119
7717064160051059
781516817064-1896
791605015168882
801583916050-211
811513715839-702
821495415137-183
831564814954694
841530515648-343
851557915305274
861634815579769
871592816348-420
881617115928243
891593716171-234
901571315937-224
911559415713-119
92156831559489
931643815683755
941703216438594
951769617032664
96177451769649
9719394177451649

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 9787 & 9026 & 761 \tabularnewline
3 & 9536 & 9787 & -251 \tabularnewline
4 & 9490 & 9536 & -46 \tabularnewline
5 & 9736 & 9490 & 246 \tabularnewline
6 & 9694 & 9736 & -42 \tabularnewline
7 & 9647 & 9694 & -47 \tabularnewline
8 & 9753 & 9647 & 106 \tabularnewline
9 & 10070 & 9753 & 317 \tabularnewline
10 & 10137 & 10070 & 67 \tabularnewline
11 & 9984 & 10137 & -153 \tabularnewline
12 & 9732 & 9984 & -252 \tabularnewline
13 & 9103 & 9732 & -629 \tabularnewline
14 & 9155 & 9103 & 52 \tabularnewline
15 & 9308 & 9155 & 153 \tabularnewline
16 & 9394 & 9308 & 86 \tabularnewline
17 & 9948 & 9394 & 554 \tabularnewline
18 & 10177 & 9948 & 229 \tabularnewline
19 & 10002 & 10177 & -175 \tabularnewline
20 & 9728 & 10002 & -274 \tabularnewline
21 & 10002 & 9728 & 274 \tabularnewline
22 & 10063 & 10002 & 61 \tabularnewline
23 & 10018 & 10063 & -45 \tabularnewline
24 & 9960 & 10018 & -58 \tabularnewline
25 & 10236 & 9960 & 276 \tabularnewline
26 & 10893 & 10236 & 657 \tabularnewline
27 & 10756 & 10893 & -137 \tabularnewline
28 & 10940 & 10756 & 184 \tabularnewline
29 & 10997 & 10940 & 57 \tabularnewline
30 & 10827 & 10997 & -170 \tabularnewline
31 & 10166 & 10827 & -661 \tabularnewline
32 & 10186 & 10166 & 20 \tabularnewline
33 & 10457 & 10186 & 271 \tabularnewline
34 & 10368 & 10457 & -89 \tabularnewline
35 & 10244 & 10368 & -124 \tabularnewline
36 & 10511 & 10244 & 267 \tabularnewline
37 & 10812 & 10511 & 301 \tabularnewline
38 & 10738 & 10812 & -74 \tabularnewline
39 & 10171 & 10738 & -567 \tabularnewline
40 & 9721 & 10171 & -450 \tabularnewline
41 & 9897 & 9721 & 176 \tabularnewline
42 & 9828 & 9897 & -69 \tabularnewline
43 & 9924 & 9828 & 96 \tabularnewline
44 & 10371 & 9924 & 447 \tabularnewline
45 & 10846 & 10371 & 475 \tabularnewline
46 & 10413 & 10846 & -433 \tabularnewline
47 & 10709 & 10413 & 296 \tabularnewline
48 & 10662 & 10709 & -47 \tabularnewline
49 & 10570 & 10662 & -92 \tabularnewline
50 & 10297 & 10570 & -273 \tabularnewline
51 & 10635 & 10297 & 338 \tabularnewline
52 & 10872 & 10635 & 237 \tabularnewline
53 & 10296 & 10872 & -576 \tabularnewline
54 & 10383 & 10296 & 87 \tabularnewline
55 & 10431 & 10383 & 48 \tabularnewline
56 & 10574 & 10431 & 143 \tabularnewline
57 & 10653 & 10574 & 79 \tabularnewline
58 & 10805 & 10653 & 152 \tabularnewline
59 & 10872 & 10805 & 67 \tabularnewline
60 & 10625 & 10872 & -247 \tabularnewline
61 & 10407 & 10625 & -218 \tabularnewline
62 & 10463 & 10407 & 56 \tabularnewline
63 & 10556 & 10463 & 93 \tabularnewline
64 & 10646 & 10556 & 90 \tabularnewline
65 & 10702 & 10646 & 56 \tabularnewline
66 & 11353 & 10702 & 651 \tabularnewline
67 & 11346 & 11353 & -7 \tabularnewline
68 & 11451 & 11346 & 105 \tabularnewline
69 & 11964 & 11451 & 513 \tabularnewline
70 & 12574 & 11964 & 610 \tabularnewline
71 & 13031 & 12574 & 457 \tabularnewline
72 & 13812 & 13031 & 781 \tabularnewline
73 & 14544 & 13812 & 732 \tabularnewline
74 & 14931 & 14544 & 387 \tabularnewline
75 & 14886 & 14931 & -45 \tabularnewline
76 & 16005 & 14886 & 1119 \tabularnewline
77 & 17064 & 16005 & 1059 \tabularnewline
78 & 15168 & 17064 & -1896 \tabularnewline
79 & 16050 & 15168 & 882 \tabularnewline
80 & 15839 & 16050 & -211 \tabularnewline
81 & 15137 & 15839 & -702 \tabularnewline
82 & 14954 & 15137 & -183 \tabularnewline
83 & 15648 & 14954 & 694 \tabularnewline
84 & 15305 & 15648 & -343 \tabularnewline
85 & 15579 & 15305 & 274 \tabularnewline
86 & 16348 & 15579 & 769 \tabularnewline
87 & 15928 & 16348 & -420 \tabularnewline
88 & 16171 & 15928 & 243 \tabularnewline
89 & 15937 & 16171 & -234 \tabularnewline
90 & 15713 & 15937 & -224 \tabularnewline
91 & 15594 & 15713 & -119 \tabularnewline
92 & 15683 & 15594 & 89 \tabularnewline
93 & 16438 & 15683 & 755 \tabularnewline
94 & 17032 & 16438 & 594 \tabularnewline
95 & 17696 & 17032 & 664 \tabularnewline
96 & 17745 & 17696 & 49 \tabularnewline
97 & 19394 & 17745 & 1649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13200&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]9787[/C][C]9026[/C][C]761[/C][/ROW]
[ROW][C]3[/C][C]9536[/C][C]9787[/C][C]-251[/C][/ROW]
[ROW][C]4[/C][C]9490[/C][C]9536[/C][C]-46[/C][/ROW]
[ROW][C]5[/C][C]9736[/C][C]9490[/C][C]246[/C][/ROW]
[ROW][C]6[/C][C]9694[/C][C]9736[/C][C]-42[/C][/ROW]
[ROW][C]7[/C][C]9647[/C][C]9694[/C][C]-47[/C][/ROW]
[ROW][C]8[/C][C]9753[/C][C]9647[/C][C]106[/C][/ROW]
[ROW][C]9[/C][C]10070[/C][C]9753[/C][C]317[/C][/ROW]
[ROW][C]10[/C][C]10137[/C][C]10070[/C][C]67[/C][/ROW]
[ROW][C]11[/C][C]9984[/C][C]10137[/C][C]-153[/C][/ROW]
[ROW][C]12[/C][C]9732[/C][C]9984[/C][C]-252[/C][/ROW]
[ROW][C]13[/C][C]9103[/C][C]9732[/C][C]-629[/C][/ROW]
[ROW][C]14[/C][C]9155[/C][C]9103[/C][C]52[/C][/ROW]
[ROW][C]15[/C][C]9308[/C][C]9155[/C][C]153[/C][/ROW]
[ROW][C]16[/C][C]9394[/C][C]9308[/C][C]86[/C][/ROW]
[ROW][C]17[/C][C]9948[/C][C]9394[/C][C]554[/C][/ROW]
[ROW][C]18[/C][C]10177[/C][C]9948[/C][C]229[/C][/ROW]
[ROW][C]19[/C][C]10002[/C][C]10177[/C][C]-175[/C][/ROW]
[ROW][C]20[/C][C]9728[/C][C]10002[/C][C]-274[/C][/ROW]
[ROW][C]21[/C][C]10002[/C][C]9728[/C][C]274[/C][/ROW]
[ROW][C]22[/C][C]10063[/C][C]10002[/C][C]61[/C][/ROW]
[ROW][C]23[/C][C]10018[/C][C]10063[/C][C]-45[/C][/ROW]
[ROW][C]24[/C][C]9960[/C][C]10018[/C][C]-58[/C][/ROW]
[ROW][C]25[/C][C]10236[/C][C]9960[/C][C]276[/C][/ROW]
[ROW][C]26[/C][C]10893[/C][C]10236[/C][C]657[/C][/ROW]
[ROW][C]27[/C][C]10756[/C][C]10893[/C][C]-137[/C][/ROW]
[ROW][C]28[/C][C]10940[/C][C]10756[/C][C]184[/C][/ROW]
[ROW][C]29[/C][C]10997[/C][C]10940[/C][C]57[/C][/ROW]
[ROW][C]30[/C][C]10827[/C][C]10997[/C][C]-170[/C][/ROW]
[ROW][C]31[/C][C]10166[/C][C]10827[/C][C]-661[/C][/ROW]
[ROW][C]32[/C][C]10186[/C][C]10166[/C][C]20[/C][/ROW]
[ROW][C]33[/C][C]10457[/C][C]10186[/C][C]271[/C][/ROW]
[ROW][C]34[/C][C]10368[/C][C]10457[/C][C]-89[/C][/ROW]
[ROW][C]35[/C][C]10244[/C][C]10368[/C][C]-124[/C][/ROW]
[ROW][C]36[/C][C]10511[/C][C]10244[/C][C]267[/C][/ROW]
[ROW][C]37[/C][C]10812[/C][C]10511[/C][C]301[/C][/ROW]
[ROW][C]38[/C][C]10738[/C][C]10812[/C][C]-74[/C][/ROW]
[ROW][C]39[/C][C]10171[/C][C]10738[/C][C]-567[/C][/ROW]
[ROW][C]40[/C][C]9721[/C][C]10171[/C][C]-450[/C][/ROW]
[ROW][C]41[/C][C]9897[/C][C]9721[/C][C]176[/C][/ROW]
[ROW][C]42[/C][C]9828[/C][C]9897[/C][C]-69[/C][/ROW]
[ROW][C]43[/C][C]9924[/C][C]9828[/C][C]96[/C][/ROW]
[ROW][C]44[/C][C]10371[/C][C]9924[/C][C]447[/C][/ROW]
[ROW][C]45[/C][C]10846[/C][C]10371[/C][C]475[/C][/ROW]
[ROW][C]46[/C][C]10413[/C][C]10846[/C][C]-433[/C][/ROW]
[ROW][C]47[/C][C]10709[/C][C]10413[/C][C]296[/C][/ROW]
[ROW][C]48[/C][C]10662[/C][C]10709[/C][C]-47[/C][/ROW]
[ROW][C]49[/C][C]10570[/C][C]10662[/C][C]-92[/C][/ROW]
[ROW][C]50[/C][C]10297[/C][C]10570[/C][C]-273[/C][/ROW]
[ROW][C]51[/C][C]10635[/C][C]10297[/C][C]338[/C][/ROW]
[ROW][C]52[/C][C]10872[/C][C]10635[/C][C]237[/C][/ROW]
[ROW][C]53[/C][C]10296[/C][C]10872[/C][C]-576[/C][/ROW]
[ROW][C]54[/C][C]10383[/C][C]10296[/C][C]87[/C][/ROW]
[ROW][C]55[/C][C]10431[/C][C]10383[/C][C]48[/C][/ROW]
[ROW][C]56[/C][C]10574[/C][C]10431[/C][C]143[/C][/ROW]
[ROW][C]57[/C][C]10653[/C][C]10574[/C][C]79[/C][/ROW]
[ROW][C]58[/C][C]10805[/C][C]10653[/C][C]152[/C][/ROW]
[ROW][C]59[/C][C]10872[/C][C]10805[/C][C]67[/C][/ROW]
[ROW][C]60[/C][C]10625[/C][C]10872[/C][C]-247[/C][/ROW]
[ROW][C]61[/C][C]10407[/C][C]10625[/C][C]-218[/C][/ROW]
[ROW][C]62[/C][C]10463[/C][C]10407[/C][C]56[/C][/ROW]
[ROW][C]63[/C][C]10556[/C][C]10463[/C][C]93[/C][/ROW]
[ROW][C]64[/C][C]10646[/C][C]10556[/C][C]90[/C][/ROW]
[ROW][C]65[/C][C]10702[/C][C]10646[/C][C]56[/C][/ROW]
[ROW][C]66[/C][C]11353[/C][C]10702[/C][C]651[/C][/ROW]
[ROW][C]67[/C][C]11346[/C][C]11353[/C][C]-7[/C][/ROW]
[ROW][C]68[/C][C]11451[/C][C]11346[/C][C]105[/C][/ROW]
[ROW][C]69[/C][C]11964[/C][C]11451[/C][C]513[/C][/ROW]
[ROW][C]70[/C][C]12574[/C][C]11964[/C][C]610[/C][/ROW]
[ROW][C]71[/C][C]13031[/C][C]12574[/C][C]457[/C][/ROW]
[ROW][C]72[/C][C]13812[/C][C]13031[/C][C]781[/C][/ROW]
[ROW][C]73[/C][C]14544[/C][C]13812[/C][C]732[/C][/ROW]
[ROW][C]74[/C][C]14931[/C][C]14544[/C][C]387[/C][/ROW]
[ROW][C]75[/C][C]14886[/C][C]14931[/C][C]-45[/C][/ROW]
[ROW][C]76[/C][C]16005[/C][C]14886[/C][C]1119[/C][/ROW]
[ROW][C]77[/C][C]17064[/C][C]16005[/C][C]1059[/C][/ROW]
[ROW][C]78[/C][C]15168[/C][C]17064[/C][C]-1896[/C][/ROW]
[ROW][C]79[/C][C]16050[/C][C]15168[/C][C]882[/C][/ROW]
[ROW][C]80[/C][C]15839[/C][C]16050[/C][C]-211[/C][/ROW]
[ROW][C]81[/C][C]15137[/C][C]15839[/C][C]-702[/C][/ROW]
[ROW][C]82[/C][C]14954[/C][C]15137[/C][C]-183[/C][/ROW]
[ROW][C]83[/C][C]15648[/C][C]14954[/C][C]694[/C][/ROW]
[ROW][C]84[/C][C]15305[/C][C]15648[/C][C]-343[/C][/ROW]
[ROW][C]85[/C][C]15579[/C][C]15305[/C][C]274[/C][/ROW]
[ROW][C]86[/C][C]16348[/C][C]15579[/C][C]769[/C][/ROW]
[ROW][C]87[/C][C]15928[/C][C]16348[/C][C]-420[/C][/ROW]
[ROW][C]88[/C][C]16171[/C][C]15928[/C][C]243[/C][/ROW]
[ROW][C]89[/C][C]15937[/C][C]16171[/C][C]-234[/C][/ROW]
[ROW][C]90[/C][C]15713[/C][C]15937[/C][C]-224[/C][/ROW]
[ROW][C]91[/C][C]15594[/C][C]15713[/C][C]-119[/C][/ROW]
[ROW][C]92[/C][C]15683[/C][C]15594[/C][C]89[/C][/ROW]
[ROW][C]93[/C][C]16438[/C][C]15683[/C][C]755[/C][/ROW]
[ROW][C]94[/C][C]17032[/C][C]16438[/C][C]594[/C][/ROW]
[ROW][C]95[/C][C]17696[/C][C]17032[/C][C]664[/C][/ROW]
[ROW][C]96[/C][C]17745[/C][C]17696[/C][C]49[/C][/ROW]
[ROW][C]97[/C][C]19394[/C][C]17745[/C][C]1649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13200&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13200&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
297879026761
395369787-251
494909536-46
597369490246
696949736-42
796479694-47
897539647106
9100709753317
10101371007067
11998410137-153
1297329984-252
1391039732-629
149155910352
1593089155153
169394930886
1799489394554
18101779948229
191000210177-175
20972810002-274
21100029728274
22100631000261
231001810063-45
24996010018-58
25102369960276
261089310236657
271075610893-137
281094010756184
29109971094057
301082710997-170
311016610827-661
32101861016620
331045710186271
341036810457-89
351024410368-124
361051110244267
371081210511301
381073810812-74
391017110738-567
40972110171-450
4198979721176
4298289897-69
439924982896
44103719924447
451084610371475
461041310846-433
471070910413296
481066210709-47
491057010662-92
501029710570-273
511063510297338
521087210635237
531029610872-576
54103831029687
55104311038348
561057410431143
57106531057479
581080510653152
59108721080567
601062510872-247
611040710625-218
62104631040756
63105561046393
64106461055690
65107021064656
661135310702651
671134611353-7
681145111346105
691196411451513
701257411964610
711303112574457
721381213031781
731454413812732
741493114544387
751488614931-45
7616005148861119
7717064160051059
781516817064-1896
791605015168882
801583916050-211
811513715839-702
821495415137-183
831564814954694
841530515648-343
851557915305274
861634815579769
871592816348-420
881617115928243
891593716171-234
901571315937-224
911559415713-119
92156831559489
931643815683755
941703216438594
951769617032664
96177451769649
9719394177451649







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
981939418500.923974032520287.0760259675
991939418130.999771846620657.0002281534
1001939417847.146948002720940.8530519973
1011939417607.847948065121180.1520519349
1021939417397.021296861421390.9787031386
1031939417206.419434867221581.5805651328
1041939417031.142933416221756.8570665838
1051939416867.999543693121920.0004563069
1061939416714.771922097622073.2280779024
1071939416569.845634251222218.1543657488
1081939416432.001912604322355.9980873957
1091939416300.293896005322487.7061039947

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
98 & 19394 & 18500.9239740325 & 20287.0760259675 \tabularnewline
99 & 19394 & 18130.9997718466 & 20657.0002281534 \tabularnewline
100 & 19394 & 17847.1469480027 & 20940.8530519973 \tabularnewline
101 & 19394 & 17607.8479480651 & 21180.1520519349 \tabularnewline
102 & 19394 & 17397.0212968614 & 21390.9787031386 \tabularnewline
103 & 19394 & 17206.4194348672 & 21581.5805651328 \tabularnewline
104 & 19394 & 17031.1429334162 & 21756.8570665838 \tabularnewline
105 & 19394 & 16867.9995436931 & 21920.0004563069 \tabularnewline
106 & 19394 & 16714.7719220976 & 22073.2280779024 \tabularnewline
107 & 19394 & 16569.8456342512 & 22218.1543657488 \tabularnewline
108 & 19394 & 16432.0019126043 & 22355.9980873957 \tabularnewline
109 & 19394 & 16300.2938960053 & 22487.7061039947 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13200&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]98[/C][C]19394[/C][C]18500.9239740325[/C][C]20287.0760259675[/C][/ROW]
[ROW][C]99[/C][C]19394[/C][C]18130.9997718466[/C][C]20657.0002281534[/C][/ROW]
[ROW][C]100[/C][C]19394[/C][C]17847.1469480027[/C][C]20940.8530519973[/C][/ROW]
[ROW][C]101[/C][C]19394[/C][C]17607.8479480651[/C][C]21180.1520519349[/C][/ROW]
[ROW][C]102[/C][C]19394[/C][C]17397.0212968614[/C][C]21390.9787031386[/C][/ROW]
[ROW][C]103[/C][C]19394[/C][C]17206.4194348672[/C][C]21581.5805651328[/C][/ROW]
[ROW][C]104[/C][C]19394[/C][C]17031.1429334162[/C][C]21756.8570665838[/C][/ROW]
[ROW][C]105[/C][C]19394[/C][C]16867.9995436931[/C][C]21920.0004563069[/C][/ROW]
[ROW][C]106[/C][C]19394[/C][C]16714.7719220976[/C][C]22073.2280779024[/C][/ROW]
[ROW][C]107[/C][C]19394[/C][C]16569.8456342512[/C][C]22218.1543657488[/C][/ROW]
[ROW][C]108[/C][C]19394[/C][C]16432.0019126043[/C][C]22355.9980873957[/C][/ROW]
[ROW][C]109[/C][C]19394[/C][C]16300.2938960053[/C][C]22487.7061039947[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13200&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13200&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
981939418500.923974032520287.0760259675
991939418130.999771846620657.0002281534
1001939417847.146948002720940.8530519973
1011939417607.847948065121180.1520519349
1021939417397.021296861421390.9787031386
1031939417206.419434867221581.5805651328
1041939417031.142933416221756.8570665838
1051939416867.999543693121920.0004563069
1061939416714.771922097622073.2280779024
1071939416569.845634251222218.1543657488
1081939416432.001912604322355.9980873957
1091939416300.293896005322487.7061039947



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=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')