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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 14 Dec 2011 13:28:09 -0500
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/Dec/14/t1323887333e8gvz502sh7hj3x.htm/, Retrieved Wed, 01 May 2024 23:05:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155182, Retrieved Wed, 01 May 2024 23:05:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [PAPER: inflatie] [2011-12-14 17:48:41] [f0cb027b41af06223bae4ee77475f3bc]
- RMPD  [Histogram] [PAPER: gezondheid...] [2011-12-14 18:00:08] [f0cb027b41af06223bae4ee77475f3bc]
- RMP     [Harrell-Davis Quantiles] [PAPER: gezondheid...] [2011-12-14 18:10:29] [f0cb027b41af06223bae4ee77475f3bc]
- RMP         [Exponential Smoothing] [PAPER: gezondheid...] [2011-12-14 18:28:09] [6baf48ba14bcb50d9e72b77bece8a45b] [Current]
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Dataseries X:
0.0266
0.0324
0.0305
0.0298
0.0201
0.0174
0.0118
0.0140
0.0128
0.0134
0.0111
0.0094
0.0121
0.0092
0.0134
0.0135
0.0147
0.0111
0.0160
0.0147
0.0164
0.0167
0.0156
0.0172
0.0160
0.0156
0.0131
0.0110
0.0158
0.0188
0.0161
0.0173
0.0163
0.0143
0.0209
0.0189
0.0172
0.0178
0.0200
0.0252
0.0209
0.0213
0.0232
0.0242
0.0241
0.0225
0.0172
0.0204
0.0233
0.0201
0.0196
0.0133
0.0173
0.0187
0.0168
0.0158
0.0169
0.0178
0.0191
0.0185
0.0186
0.0204
0.0208
0.0194
0.0191
0.0134
0.0130
0.0138
0.0124
0.0130
0.0179
0.0224
0.0264
0.0279
0.0308
0.0388
0.0370
0.0461
0.0507
0.0522
0.0493
0.0515
0.0480
0.0390
0.0354
0.0334
0.0280
0.0160
0.0153
0.0069
-0.0010
-0.0066
-0.0020
-0.0062
-0.0058
-0.0031
-0.0025
-0.0009
0.0013
0.0094
0.0105
0.0158
0.0202
0.0216
0.0206
0.0256
0.0254
0.0253
0.0260
0.0272
0.0281
0.0292
0.0287
0.0289
0.0327
0.0333
0.0314
0.0303
0.0309
0.0339




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.wessa.net

\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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155182&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155182&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'AstonUniversity' @ aston.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999956701083093
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999956701083093 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155182&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]0.999956701083093[/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=155182&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155182&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
alpha0.999956701083093
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
20.03240.02660.0058
30.03050.0323997488662819-0.00189974886628194
40.02980.0305000822570683-0.000700082257068305
50.02010.0298000303128035-0.00970003031280348
60.01740.0201004200008065-0.00270042000080651
70.01180.0174001169252612-0.00560011692526123
80.0140.01180024247899740.00219975752100258
90.01280.0139999047528819-0.00119990475288188
100.01340.01280005195457620.000599948045423808
110.01110.0133999740228994-0.00229997402289943
120.00940.0111000995863841-0.00170009958638411
130.01210.009400073612470730.00269992638752927
140.00920.0120998830961117-0.00289988309611169
150.01340.009200125561797220.00419987443820278
160.01350.01339981814998570.000100181850014319
170.01470.01349999566223440.0012000043377656
180.01110.0146999480411119-0.00359994804111189
190.0160.01110015587385110.0048998441261489
200.01470.0159997878420563-0.00129978784205633
210.01640.01470005627940580.00169994372059423
220.01670.01639992639427810.000300073605721901
230.01560.0166999870071379-0.00109998700713788
240.01720.0156000476282460.00159995237175398
250.0160.0171999307237952-0.0011999307237952
260.01560.0160000519557007-0.000400051955700705
270.01310.0156000173218164-0.00250001732181639
280.0110.0131001082480423-0.00210010824804228
290.01580.01100009093241250.00479990906758748
300.01880.01579979216913610.00300020783086388
310.01610.0187998700942504-0.00269987009425043
320.01730.01610011690145090.00119988309854913
330.01630.0172999480463614-0.000999948046361419
340.01430.0163000432966674-0.00200004329666737
350.02090.01430008659970850.00659991340029149
360.01890.0208997142308981-0.00199971423089809
370.01720.0189000865854603-0.00170008658546032
380.01780.01720007361190780.000599926388092201
390.020.01779997402383720.00220002597616283
400.02520.01999990474125810.00520009525874194
410.02090.0251997748415075-0.00429977484150748
420.02130.02090018617559360.00039981382440642
430.02320.02129998268849440.00190001731150556
440.02420.02319991773130830.00100008226869169
450.02410.0241999566975209-9.99566975209455e-05
460.02250.0241000043280167-0.00160000432801674
470.01720.0225000692784544-0.00530006927845445
480.02040.01720022948725930.00319977051274071
490.02330.02039986145340240.00290013854659755
500.02010.0232998744271421-0.00319987442714205
510.01960.0201001385510969-0.000500138551096933
520.01330.0196000216554576-0.00630002165545757
530.01730.01330027278411420.00399972721588583
540.01870.01729982681614360.00140017318385637
550.01680.0186999393740177-0.00189993937401766
560.01580.0168000822653171-0.00100008226531708
570.01690.01580004330247890.00109995669752109
580.01780.01689995237306640.000900047626933648
590.01910.01779996102891260.00130003897108741
600.01850.0190999437097206-0.000599943709720614
610.01860.01850002597691289.99740230871633e-05
620.02040.01859999567123310.00180000432876692
630.02080.02039992206176210.000400077938237861
640.01940.0207999826770586-0.00139998267705859
650.01910.0194000606177336-0.000300060617733605
660.01340.0191000129922998-0.00570001299229975
670.0130.0134002468043889-0.000400246804388923
680.01380.01300001733025310.000799982669746875
690.01240.0137999653616169-0.00139996536161686
700.0130.01240006061698390.000599939383016135
710.01790.01299997402327450.00490002597672549
720.02240.01789978783418240.00450021216581761
730.02640.02239980514568740.00400019485431263
740.02790.02639982679589540.00150017320410461
750.03080.02789993504412510.00290006495587491
760.03880.03079987443032850.00800012556967155
770.0370.0387996536032277-0.00179965360322772
780.04610.03700007792305180.00909992207694817
790.05070.04609960598323010.00460039401676987
800.05220.05069980080792170.00150019919207827
810.04930.0521999350429998-0.00289993504299985
820.05150.04930012556404650.00219987443595354
830.0480.0514999047478196-0.00349990474781959
840.0390.0480001515420849-0.00900015154208486
850.03540.0390003896968138-0.00360038969681377
860.03340.0354001558929743-0.00200015589297432
870.0280.0334000866045838-0.00540008660458381
880.0160.0280002338179012-0.0120002338179012
890.01530.0160005195971269-0.000700519597126947
900.00690.0153000303317398-0.00840003033173983
91-0.0010.00690036371221535-0.00790036371221535
92-0.0066-0.00099965792280809-0.00560034207719191
93-0.002-0.006599757511253750.00459975751125375
94-0.0062-0.00200019916451827-0.00419980083548173
95-0.0058-0.00619981815317260.000399818153172599
96-0.0031-0.005800017311692990.00270001731169299
97-0.0025-0.003100116907825230.000600116907825226
98-9e-04-0.002500025984412130.00160002598441213
990.0013-0.0009000692793921480.00220006927939215
1000.00940.001299904739383080.00810009526061692
1010.01050.009399649274648370.00110035072535163
1020.01580.01049995235600540.00530004764399463
1030.02020.01579977051367750.00440022948632254
1040.02160.02019980947482910.0014001905251709
1050.02060.0215999393732668-0.000999939373266798
1060.02560.02060004329629180.00499995670370816
1070.02540.0255997835072901-0.000199783507290149
1080.02530.0254000086504095-0.000100008650409482
1090.0260.02530000433026620.000699995669733756
1100.02720.02599996969094570.00120003030905434
1110.02810.02719994803998740.000900051960012638
1120.02920.0280999610287250.00110003897127503
1130.02870.029199952369504-0.000499952369503988
1140.02890.02870002164739610.000199978352603894
1150.03270.02889999134115390.00380000865884608
1160.03330.03269983546374080.000600164536259169
1170.03140.0332999740135256-0.00189997401352562
1180.03030.0314000822668169-0.00110008226681693
1190.03090.03030004763237070.000599952367629338
1200.03390.03089997402271230.00300002597728771

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 0.0324 & 0.0266 & 0.0058 \tabularnewline
3 & 0.0305 & 0.0323997488662819 & -0.00189974886628194 \tabularnewline
4 & 0.0298 & 0.0305000822570683 & -0.000700082257068305 \tabularnewline
5 & 0.0201 & 0.0298000303128035 & -0.00970003031280348 \tabularnewline
6 & 0.0174 & 0.0201004200008065 & -0.00270042000080651 \tabularnewline
7 & 0.0118 & 0.0174001169252612 & -0.00560011692526123 \tabularnewline
8 & 0.014 & 0.0118002424789974 & 0.00219975752100258 \tabularnewline
9 & 0.0128 & 0.0139999047528819 & -0.00119990475288188 \tabularnewline
10 & 0.0134 & 0.0128000519545762 & 0.000599948045423808 \tabularnewline
11 & 0.0111 & 0.0133999740228994 & -0.00229997402289943 \tabularnewline
12 & 0.0094 & 0.0111000995863841 & -0.00170009958638411 \tabularnewline
13 & 0.0121 & 0.00940007361247073 & 0.00269992638752927 \tabularnewline
14 & 0.0092 & 0.0120998830961117 & -0.00289988309611169 \tabularnewline
15 & 0.0134 & 0.00920012556179722 & 0.00419987443820278 \tabularnewline
16 & 0.0135 & 0.0133998181499857 & 0.000100181850014319 \tabularnewline
17 & 0.0147 & 0.0134999956622344 & 0.0012000043377656 \tabularnewline
18 & 0.0111 & 0.0146999480411119 & -0.00359994804111189 \tabularnewline
19 & 0.016 & 0.0111001558738511 & 0.0048998441261489 \tabularnewline
20 & 0.0147 & 0.0159997878420563 & -0.00129978784205633 \tabularnewline
21 & 0.0164 & 0.0147000562794058 & 0.00169994372059423 \tabularnewline
22 & 0.0167 & 0.0163999263942781 & 0.000300073605721901 \tabularnewline
23 & 0.0156 & 0.0166999870071379 & -0.00109998700713788 \tabularnewline
24 & 0.0172 & 0.015600047628246 & 0.00159995237175398 \tabularnewline
25 & 0.016 & 0.0171999307237952 & -0.0011999307237952 \tabularnewline
26 & 0.0156 & 0.0160000519557007 & -0.000400051955700705 \tabularnewline
27 & 0.0131 & 0.0156000173218164 & -0.00250001732181639 \tabularnewline
28 & 0.011 & 0.0131001082480423 & -0.00210010824804228 \tabularnewline
29 & 0.0158 & 0.0110000909324125 & 0.00479990906758748 \tabularnewline
30 & 0.0188 & 0.0157997921691361 & 0.00300020783086388 \tabularnewline
31 & 0.0161 & 0.0187998700942504 & -0.00269987009425043 \tabularnewline
32 & 0.0173 & 0.0161001169014509 & 0.00119988309854913 \tabularnewline
33 & 0.0163 & 0.0172999480463614 & -0.000999948046361419 \tabularnewline
34 & 0.0143 & 0.0163000432966674 & -0.00200004329666737 \tabularnewline
35 & 0.0209 & 0.0143000865997085 & 0.00659991340029149 \tabularnewline
36 & 0.0189 & 0.0208997142308981 & -0.00199971423089809 \tabularnewline
37 & 0.0172 & 0.0189000865854603 & -0.00170008658546032 \tabularnewline
38 & 0.0178 & 0.0172000736119078 & 0.000599926388092201 \tabularnewline
39 & 0.02 & 0.0177999740238372 & 0.00220002597616283 \tabularnewline
40 & 0.0252 & 0.0199999047412581 & 0.00520009525874194 \tabularnewline
41 & 0.0209 & 0.0251997748415075 & -0.00429977484150748 \tabularnewline
42 & 0.0213 & 0.0209001861755936 & 0.00039981382440642 \tabularnewline
43 & 0.0232 & 0.0212999826884944 & 0.00190001731150556 \tabularnewline
44 & 0.0242 & 0.0231999177313083 & 0.00100008226869169 \tabularnewline
45 & 0.0241 & 0.0241999566975209 & -9.99566975209455e-05 \tabularnewline
46 & 0.0225 & 0.0241000043280167 & -0.00160000432801674 \tabularnewline
47 & 0.0172 & 0.0225000692784544 & -0.00530006927845445 \tabularnewline
48 & 0.0204 & 0.0172002294872593 & 0.00319977051274071 \tabularnewline
49 & 0.0233 & 0.0203998614534024 & 0.00290013854659755 \tabularnewline
50 & 0.0201 & 0.0232998744271421 & -0.00319987442714205 \tabularnewline
51 & 0.0196 & 0.0201001385510969 & -0.000500138551096933 \tabularnewline
52 & 0.0133 & 0.0196000216554576 & -0.00630002165545757 \tabularnewline
53 & 0.0173 & 0.0133002727841142 & 0.00399972721588583 \tabularnewline
54 & 0.0187 & 0.0172998268161436 & 0.00140017318385637 \tabularnewline
55 & 0.0168 & 0.0186999393740177 & -0.00189993937401766 \tabularnewline
56 & 0.0158 & 0.0168000822653171 & -0.00100008226531708 \tabularnewline
57 & 0.0169 & 0.0158000433024789 & 0.00109995669752109 \tabularnewline
58 & 0.0178 & 0.0168999523730664 & 0.000900047626933648 \tabularnewline
59 & 0.0191 & 0.0177999610289126 & 0.00130003897108741 \tabularnewline
60 & 0.0185 & 0.0190999437097206 & -0.000599943709720614 \tabularnewline
61 & 0.0186 & 0.0185000259769128 & 9.99740230871633e-05 \tabularnewline
62 & 0.0204 & 0.0185999956712331 & 0.00180000432876692 \tabularnewline
63 & 0.0208 & 0.0203999220617621 & 0.000400077938237861 \tabularnewline
64 & 0.0194 & 0.0207999826770586 & -0.00139998267705859 \tabularnewline
65 & 0.0191 & 0.0194000606177336 & -0.000300060617733605 \tabularnewline
66 & 0.0134 & 0.0191000129922998 & -0.00570001299229975 \tabularnewline
67 & 0.013 & 0.0134002468043889 & -0.000400246804388923 \tabularnewline
68 & 0.0138 & 0.0130000173302531 & 0.000799982669746875 \tabularnewline
69 & 0.0124 & 0.0137999653616169 & -0.00139996536161686 \tabularnewline
70 & 0.013 & 0.0124000606169839 & 0.000599939383016135 \tabularnewline
71 & 0.0179 & 0.0129999740232745 & 0.00490002597672549 \tabularnewline
72 & 0.0224 & 0.0178997878341824 & 0.00450021216581761 \tabularnewline
73 & 0.0264 & 0.0223998051456874 & 0.00400019485431263 \tabularnewline
74 & 0.0279 & 0.0263998267958954 & 0.00150017320410461 \tabularnewline
75 & 0.0308 & 0.0278999350441251 & 0.00290006495587491 \tabularnewline
76 & 0.0388 & 0.0307998744303285 & 0.00800012556967155 \tabularnewline
77 & 0.037 & 0.0387996536032277 & -0.00179965360322772 \tabularnewline
78 & 0.0461 & 0.0370000779230518 & 0.00909992207694817 \tabularnewline
79 & 0.0507 & 0.0460996059832301 & 0.00460039401676987 \tabularnewline
80 & 0.0522 & 0.0506998008079217 & 0.00150019919207827 \tabularnewline
81 & 0.0493 & 0.0521999350429998 & -0.00289993504299985 \tabularnewline
82 & 0.0515 & 0.0493001255640465 & 0.00219987443595354 \tabularnewline
83 & 0.048 & 0.0514999047478196 & -0.00349990474781959 \tabularnewline
84 & 0.039 & 0.0480001515420849 & -0.00900015154208486 \tabularnewline
85 & 0.0354 & 0.0390003896968138 & -0.00360038969681377 \tabularnewline
86 & 0.0334 & 0.0354001558929743 & -0.00200015589297432 \tabularnewline
87 & 0.028 & 0.0334000866045838 & -0.00540008660458381 \tabularnewline
88 & 0.016 & 0.0280002338179012 & -0.0120002338179012 \tabularnewline
89 & 0.0153 & 0.0160005195971269 & -0.000700519597126947 \tabularnewline
90 & 0.0069 & 0.0153000303317398 & -0.00840003033173983 \tabularnewline
91 & -0.001 & 0.00690036371221535 & -0.00790036371221535 \tabularnewline
92 & -0.0066 & -0.00099965792280809 & -0.00560034207719191 \tabularnewline
93 & -0.002 & -0.00659975751125375 & 0.00459975751125375 \tabularnewline
94 & -0.0062 & -0.00200019916451827 & -0.00419980083548173 \tabularnewline
95 & -0.0058 & -0.0061998181531726 & 0.000399818153172599 \tabularnewline
96 & -0.0031 & -0.00580001731169299 & 0.00270001731169299 \tabularnewline
97 & -0.0025 & -0.00310011690782523 & 0.000600116907825226 \tabularnewline
98 & -9e-04 & -0.00250002598441213 & 0.00160002598441213 \tabularnewline
99 & 0.0013 & -0.000900069279392148 & 0.00220006927939215 \tabularnewline
100 & 0.0094 & 0.00129990473938308 & 0.00810009526061692 \tabularnewline
101 & 0.0105 & 0.00939964927464837 & 0.00110035072535163 \tabularnewline
102 & 0.0158 & 0.0104999523560054 & 0.00530004764399463 \tabularnewline
103 & 0.0202 & 0.0157997705136775 & 0.00440022948632254 \tabularnewline
104 & 0.0216 & 0.0201998094748291 & 0.0014001905251709 \tabularnewline
105 & 0.0206 & 0.0215999393732668 & -0.000999939373266798 \tabularnewline
106 & 0.0256 & 0.0206000432962918 & 0.00499995670370816 \tabularnewline
107 & 0.0254 & 0.0255997835072901 & -0.000199783507290149 \tabularnewline
108 & 0.0253 & 0.0254000086504095 & -0.000100008650409482 \tabularnewline
109 & 0.026 & 0.0253000043302662 & 0.000699995669733756 \tabularnewline
110 & 0.0272 & 0.0259999696909457 & 0.00120003030905434 \tabularnewline
111 & 0.0281 & 0.0271999480399874 & 0.000900051960012638 \tabularnewline
112 & 0.0292 & 0.028099961028725 & 0.00110003897127503 \tabularnewline
113 & 0.0287 & 0.029199952369504 & -0.000499952369503988 \tabularnewline
114 & 0.0289 & 0.0287000216473961 & 0.000199978352603894 \tabularnewline
115 & 0.0327 & 0.0288999913411539 & 0.00380000865884608 \tabularnewline
116 & 0.0333 & 0.0326998354637408 & 0.000600164536259169 \tabularnewline
117 & 0.0314 & 0.0332999740135256 & -0.00189997401352562 \tabularnewline
118 & 0.0303 & 0.0314000822668169 & -0.00110008226681693 \tabularnewline
119 & 0.0309 & 0.0303000476323707 & 0.000599952367629338 \tabularnewline
120 & 0.0339 & 0.0308999740227123 & 0.00300002597728771 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155182&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]0.0324[/C][C]0.0266[/C][C]0.0058[/C][/ROW]
[ROW][C]3[/C][C]0.0305[/C][C]0.0323997488662819[/C][C]-0.00189974886628194[/C][/ROW]
[ROW][C]4[/C][C]0.0298[/C][C]0.0305000822570683[/C][C]-0.000700082257068305[/C][/ROW]
[ROW][C]5[/C][C]0.0201[/C][C]0.0298000303128035[/C][C]-0.00970003031280348[/C][/ROW]
[ROW][C]6[/C][C]0.0174[/C][C]0.0201004200008065[/C][C]-0.00270042000080651[/C][/ROW]
[ROW][C]7[/C][C]0.0118[/C][C]0.0174001169252612[/C][C]-0.00560011692526123[/C][/ROW]
[ROW][C]8[/C][C]0.014[/C][C]0.0118002424789974[/C][C]0.00219975752100258[/C][/ROW]
[ROW][C]9[/C][C]0.0128[/C][C]0.0139999047528819[/C][C]-0.00119990475288188[/C][/ROW]
[ROW][C]10[/C][C]0.0134[/C][C]0.0128000519545762[/C][C]0.000599948045423808[/C][/ROW]
[ROW][C]11[/C][C]0.0111[/C][C]0.0133999740228994[/C][C]-0.00229997402289943[/C][/ROW]
[ROW][C]12[/C][C]0.0094[/C][C]0.0111000995863841[/C][C]-0.00170009958638411[/C][/ROW]
[ROW][C]13[/C][C]0.0121[/C][C]0.00940007361247073[/C][C]0.00269992638752927[/C][/ROW]
[ROW][C]14[/C][C]0.0092[/C][C]0.0120998830961117[/C][C]-0.00289988309611169[/C][/ROW]
[ROW][C]15[/C][C]0.0134[/C][C]0.00920012556179722[/C][C]0.00419987443820278[/C][/ROW]
[ROW][C]16[/C][C]0.0135[/C][C]0.0133998181499857[/C][C]0.000100181850014319[/C][/ROW]
[ROW][C]17[/C][C]0.0147[/C][C]0.0134999956622344[/C][C]0.0012000043377656[/C][/ROW]
[ROW][C]18[/C][C]0.0111[/C][C]0.0146999480411119[/C][C]-0.00359994804111189[/C][/ROW]
[ROW][C]19[/C][C]0.016[/C][C]0.0111001558738511[/C][C]0.0048998441261489[/C][/ROW]
[ROW][C]20[/C][C]0.0147[/C][C]0.0159997878420563[/C][C]-0.00129978784205633[/C][/ROW]
[ROW][C]21[/C][C]0.0164[/C][C]0.0147000562794058[/C][C]0.00169994372059423[/C][/ROW]
[ROW][C]22[/C][C]0.0167[/C][C]0.0163999263942781[/C][C]0.000300073605721901[/C][/ROW]
[ROW][C]23[/C][C]0.0156[/C][C]0.0166999870071379[/C][C]-0.00109998700713788[/C][/ROW]
[ROW][C]24[/C][C]0.0172[/C][C]0.015600047628246[/C][C]0.00159995237175398[/C][/ROW]
[ROW][C]25[/C][C]0.016[/C][C]0.0171999307237952[/C][C]-0.0011999307237952[/C][/ROW]
[ROW][C]26[/C][C]0.0156[/C][C]0.0160000519557007[/C][C]-0.000400051955700705[/C][/ROW]
[ROW][C]27[/C][C]0.0131[/C][C]0.0156000173218164[/C][C]-0.00250001732181639[/C][/ROW]
[ROW][C]28[/C][C]0.011[/C][C]0.0131001082480423[/C][C]-0.00210010824804228[/C][/ROW]
[ROW][C]29[/C][C]0.0158[/C][C]0.0110000909324125[/C][C]0.00479990906758748[/C][/ROW]
[ROW][C]30[/C][C]0.0188[/C][C]0.0157997921691361[/C][C]0.00300020783086388[/C][/ROW]
[ROW][C]31[/C][C]0.0161[/C][C]0.0187998700942504[/C][C]-0.00269987009425043[/C][/ROW]
[ROW][C]32[/C][C]0.0173[/C][C]0.0161001169014509[/C][C]0.00119988309854913[/C][/ROW]
[ROW][C]33[/C][C]0.0163[/C][C]0.0172999480463614[/C][C]-0.000999948046361419[/C][/ROW]
[ROW][C]34[/C][C]0.0143[/C][C]0.0163000432966674[/C][C]-0.00200004329666737[/C][/ROW]
[ROW][C]35[/C][C]0.0209[/C][C]0.0143000865997085[/C][C]0.00659991340029149[/C][/ROW]
[ROW][C]36[/C][C]0.0189[/C][C]0.0208997142308981[/C][C]-0.00199971423089809[/C][/ROW]
[ROW][C]37[/C][C]0.0172[/C][C]0.0189000865854603[/C][C]-0.00170008658546032[/C][/ROW]
[ROW][C]38[/C][C]0.0178[/C][C]0.0172000736119078[/C][C]0.000599926388092201[/C][/ROW]
[ROW][C]39[/C][C]0.02[/C][C]0.0177999740238372[/C][C]0.00220002597616283[/C][/ROW]
[ROW][C]40[/C][C]0.0252[/C][C]0.0199999047412581[/C][C]0.00520009525874194[/C][/ROW]
[ROW][C]41[/C][C]0.0209[/C][C]0.0251997748415075[/C][C]-0.00429977484150748[/C][/ROW]
[ROW][C]42[/C][C]0.0213[/C][C]0.0209001861755936[/C][C]0.00039981382440642[/C][/ROW]
[ROW][C]43[/C][C]0.0232[/C][C]0.0212999826884944[/C][C]0.00190001731150556[/C][/ROW]
[ROW][C]44[/C][C]0.0242[/C][C]0.0231999177313083[/C][C]0.00100008226869169[/C][/ROW]
[ROW][C]45[/C][C]0.0241[/C][C]0.0241999566975209[/C][C]-9.99566975209455e-05[/C][/ROW]
[ROW][C]46[/C][C]0.0225[/C][C]0.0241000043280167[/C][C]-0.00160000432801674[/C][/ROW]
[ROW][C]47[/C][C]0.0172[/C][C]0.0225000692784544[/C][C]-0.00530006927845445[/C][/ROW]
[ROW][C]48[/C][C]0.0204[/C][C]0.0172002294872593[/C][C]0.00319977051274071[/C][/ROW]
[ROW][C]49[/C][C]0.0233[/C][C]0.0203998614534024[/C][C]0.00290013854659755[/C][/ROW]
[ROW][C]50[/C][C]0.0201[/C][C]0.0232998744271421[/C][C]-0.00319987442714205[/C][/ROW]
[ROW][C]51[/C][C]0.0196[/C][C]0.0201001385510969[/C][C]-0.000500138551096933[/C][/ROW]
[ROW][C]52[/C][C]0.0133[/C][C]0.0196000216554576[/C][C]-0.00630002165545757[/C][/ROW]
[ROW][C]53[/C][C]0.0173[/C][C]0.0133002727841142[/C][C]0.00399972721588583[/C][/ROW]
[ROW][C]54[/C][C]0.0187[/C][C]0.0172998268161436[/C][C]0.00140017318385637[/C][/ROW]
[ROW][C]55[/C][C]0.0168[/C][C]0.0186999393740177[/C][C]-0.00189993937401766[/C][/ROW]
[ROW][C]56[/C][C]0.0158[/C][C]0.0168000822653171[/C][C]-0.00100008226531708[/C][/ROW]
[ROW][C]57[/C][C]0.0169[/C][C]0.0158000433024789[/C][C]0.00109995669752109[/C][/ROW]
[ROW][C]58[/C][C]0.0178[/C][C]0.0168999523730664[/C][C]0.000900047626933648[/C][/ROW]
[ROW][C]59[/C][C]0.0191[/C][C]0.0177999610289126[/C][C]0.00130003897108741[/C][/ROW]
[ROW][C]60[/C][C]0.0185[/C][C]0.0190999437097206[/C][C]-0.000599943709720614[/C][/ROW]
[ROW][C]61[/C][C]0.0186[/C][C]0.0185000259769128[/C][C]9.99740230871633e-05[/C][/ROW]
[ROW][C]62[/C][C]0.0204[/C][C]0.0185999956712331[/C][C]0.00180000432876692[/C][/ROW]
[ROW][C]63[/C][C]0.0208[/C][C]0.0203999220617621[/C][C]0.000400077938237861[/C][/ROW]
[ROW][C]64[/C][C]0.0194[/C][C]0.0207999826770586[/C][C]-0.00139998267705859[/C][/ROW]
[ROW][C]65[/C][C]0.0191[/C][C]0.0194000606177336[/C][C]-0.000300060617733605[/C][/ROW]
[ROW][C]66[/C][C]0.0134[/C][C]0.0191000129922998[/C][C]-0.00570001299229975[/C][/ROW]
[ROW][C]67[/C][C]0.013[/C][C]0.0134002468043889[/C][C]-0.000400246804388923[/C][/ROW]
[ROW][C]68[/C][C]0.0138[/C][C]0.0130000173302531[/C][C]0.000799982669746875[/C][/ROW]
[ROW][C]69[/C][C]0.0124[/C][C]0.0137999653616169[/C][C]-0.00139996536161686[/C][/ROW]
[ROW][C]70[/C][C]0.013[/C][C]0.0124000606169839[/C][C]0.000599939383016135[/C][/ROW]
[ROW][C]71[/C][C]0.0179[/C][C]0.0129999740232745[/C][C]0.00490002597672549[/C][/ROW]
[ROW][C]72[/C][C]0.0224[/C][C]0.0178997878341824[/C][C]0.00450021216581761[/C][/ROW]
[ROW][C]73[/C][C]0.0264[/C][C]0.0223998051456874[/C][C]0.00400019485431263[/C][/ROW]
[ROW][C]74[/C][C]0.0279[/C][C]0.0263998267958954[/C][C]0.00150017320410461[/C][/ROW]
[ROW][C]75[/C][C]0.0308[/C][C]0.0278999350441251[/C][C]0.00290006495587491[/C][/ROW]
[ROW][C]76[/C][C]0.0388[/C][C]0.0307998744303285[/C][C]0.00800012556967155[/C][/ROW]
[ROW][C]77[/C][C]0.037[/C][C]0.0387996536032277[/C][C]-0.00179965360322772[/C][/ROW]
[ROW][C]78[/C][C]0.0461[/C][C]0.0370000779230518[/C][C]0.00909992207694817[/C][/ROW]
[ROW][C]79[/C][C]0.0507[/C][C]0.0460996059832301[/C][C]0.00460039401676987[/C][/ROW]
[ROW][C]80[/C][C]0.0522[/C][C]0.0506998008079217[/C][C]0.00150019919207827[/C][/ROW]
[ROW][C]81[/C][C]0.0493[/C][C]0.0521999350429998[/C][C]-0.00289993504299985[/C][/ROW]
[ROW][C]82[/C][C]0.0515[/C][C]0.0493001255640465[/C][C]0.00219987443595354[/C][/ROW]
[ROW][C]83[/C][C]0.048[/C][C]0.0514999047478196[/C][C]-0.00349990474781959[/C][/ROW]
[ROW][C]84[/C][C]0.039[/C][C]0.0480001515420849[/C][C]-0.00900015154208486[/C][/ROW]
[ROW][C]85[/C][C]0.0354[/C][C]0.0390003896968138[/C][C]-0.00360038969681377[/C][/ROW]
[ROW][C]86[/C][C]0.0334[/C][C]0.0354001558929743[/C][C]-0.00200015589297432[/C][/ROW]
[ROW][C]87[/C][C]0.028[/C][C]0.0334000866045838[/C][C]-0.00540008660458381[/C][/ROW]
[ROW][C]88[/C][C]0.016[/C][C]0.0280002338179012[/C][C]-0.0120002338179012[/C][/ROW]
[ROW][C]89[/C][C]0.0153[/C][C]0.0160005195971269[/C][C]-0.000700519597126947[/C][/ROW]
[ROW][C]90[/C][C]0.0069[/C][C]0.0153000303317398[/C][C]-0.00840003033173983[/C][/ROW]
[ROW][C]91[/C][C]-0.001[/C][C]0.00690036371221535[/C][C]-0.00790036371221535[/C][/ROW]
[ROW][C]92[/C][C]-0.0066[/C][C]-0.00099965792280809[/C][C]-0.00560034207719191[/C][/ROW]
[ROW][C]93[/C][C]-0.002[/C][C]-0.00659975751125375[/C][C]0.00459975751125375[/C][/ROW]
[ROW][C]94[/C][C]-0.0062[/C][C]-0.00200019916451827[/C][C]-0.00419980083548173[/C][/ROW]
[ROW][C]95[/C][C]-0.0058[/C][C]-0.0061998181531726[/C][C]0.000399818153172599[/C][/ROW]
[ROW][C]96[/C][C]-0.0031[/C][C]-0.00580001731169299[/C][C]0.00270001731169299[/C][/ROW]
[ROW][C]97[/C][C]-0.0025[/C][C]-0.00310011690782523[/C][C]0.000600116907825226[/C][/ROW]
[ROW][C]98[/C][C]-9e-04[/C][C]-0.00250002598441213[/C][C]0.00160002598441213[/C][/ROW]
[ROW][C]99[/C][C]0.0013[/C][C]-0.000900069279392148[/C][C]0.00220006927939215[/C][/ROW]
[ROW][C]100[/C][C]0.0094[/C][C]0.00129990473938308[/C][C]0.00810009526061692[/C][/ROW]
[ROW][C]101[/C][C]0.0105[/C][C]0.00939964927464837[/C][C]0.00110035072535163[/C][/ROW]
[ROW][C]102[/C][C]0.0158[/C][C]0.0104999523560054[/C][C]0.00530004764399463[/C][/ROW]
[ROW][C]103[/C][C]0.0202[/C][C]0.0157997705136775[/C][C]0.00440022948632254[/C][/ROW]
[ROW][C]104[/C][C]0.0216[/C][C]0.0201998094748291[/C][C]0.0014001905251709[/C][/ROW]
[ROW][C]105[/C][C]0.0206[/C][C]0.0215999393732668[/C][C]-0.000999939373266798[/C][/ROW]
[ROW][C]106[/C][C]0.0256[/C][C]0.0206000432962918[/C][C]0.00499995670370816[/C][/ROW]
[ROW][C]107[/C][C]0.0254[/C][C]0.0255997835072901[/C][C]-0.000199783507290149[/C][/ROW]
[ROW][C]108[/C][C]0.0253[/C][C]0.0254000086504095[/C][C]-0.000100008650409482[/C][/ROW]
[ROW][C]109[/C][C]0.026[/C][C]0.0253000043302662[/C][C]0.000699995669733756[/C][/ROW]
[ROW][C]110[/C][C]0.0272[/C][C]0.0259999696909457[/C][C]0.00120003030905434[/C][/ROW]
[ROW][C]111[/C][C]0.0281[/C][C]0.0271999480399874[/C][C]0.000900051960012638[/C][/ROW]
[ROW][C]112[/C][C]0.0292[/C][C]0.028099961028725[/C][C]0.00110003897127503[/C][/ROW]
[ROW][C]113[/C][C]0.0287[/C][C]0.029199952369504[/C][C]-0.000499952369503988[/C][/ROW]
[ROW][C]114[/C][C]0.0289[/C][C]0.0287000216473961[/C][C]0.000199978352603894[/C][/ROW]
[ROW][C]115[/C][C]0.0327[/C][C]0.0288999913411539[/C][C]0.00380000865884608[/C][/ROW]
[ROW][C]116[/C][C]0.0333[/C][C]0.0326998354637408[/C][C]0.000600164536259169[/C][/ROW]
[ROW][C]117[/C][C]0.0314[/C][C]0.0332999740135256[/C][C]-0.00189997401352562[/C][/ROW]
[ROW][C]118[/C][C]0.0303[/C][C]0.0314000822668169[/C][C]-0.00110008226681693[/C][/ROW]
[ROW][C]119[/C][C]0.0309[/C][C]0.0303000476323707[/C][C]0.000599952367629338[/C][/ROW]
[ROW][C]120[/C][C]0.0339[/C][C]0.0308999740227123[/C][C]0.00300002597728771[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155182&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155182&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
20.03240.02660.0058
30.03050.0323997488662819-0.00189974886628194
40.02980.0305000822570683-0.000700082257068305
50.02010.0298000303128035-0.00970003031280348
60.01740.0201004200008065-0.00270042000080651
70.01180.0174001169252612-0.00560011692526123
80.0140.01180024247899740.00219975752100258
90.01280.0139999047528819-0.00119990475288188
100.01340.01280005195457620.000599948045423808
110.01110.0133999740228994-0.00229997402289943
120.00940.0111000995863841-0.00170009958638411
130.01210.009400073612470730.00269992638752927
140.00920.0120998830961117-0.00289988309611169
150.01340.009200125561797220.00419987443820278
160.01350.01339981814998570.000100181850014319
170.01470.01349999566223440.0012000043377656
180.01110.0146999480411119-0.00359994804111189
190.0160.01110015587385110.0048998441261489
200.01470.0159997878420563-0.00129978784205633
210.01640.01470005627940580.00169994372059423
220.01670.01639992639427810.000300073605721901
230.01560.0166999870071379-0.00109998700713788
240.01720.0156000476282460.00159995237175398
250.0160.0171999307237952-0.0011999307237952
260.01560.0160000519557007-0.000400051955700705
270.01310.0156000173218164-0.00250001732181639
280.0110.0131001082480423-0.00210010824804228
290.01580.01100009093241250.00479990906758748
300.01880.01579979216913610.00300020783086388
310.01610.0187998700942504-0.00269987009425043
320.01730.01610011690145090.00119988309854913
330.01630.0172999480463614-0.000999948046361419
340.01430.0163000432966674-0.00200004329666737
350.02090.01430008659970850.00659991340029149
360.01890.0208997142308981-0.00199971423089809
370.01720.0189000865854603-0.00170008658546032
380.01780.01720007361190780.000599926388092201
390.020.01779997402383720.00220002597616283
400.02520.01999990474125810.00520009525874194
410.02090.0251997748415075-0.00429977484150748
420.02130.02090018617559360.00039981382440642
430.02320.02129998268849440.00190001731150556
440.02420.02319991773130830.00100008226869169
450.02410.0241999566975209-9.99566975209455e-05
460.02250.0241000043280167-0.00160000432801674
470.01720.0225000692784544-0.00530006927845445
480.02040.01720022948725930.00319977051274071
490.02330.02039986145340240.00290013854659755
500.02010.0232998744271421-0.00319987442714205
510.01960.0201001385510969-0.000500138551096933
520.01330.0196000216554576-0.00630002165545757
530.01730.01330027278411420.00399972721588583
540.01870.01729982681614360.00140017318385637
550.01680.0186999393740177-0.00189993937401766
560.01580.0168000822653171-0.00100008226531708
570.01690.01580004330247890.00109995669752109
580.01780.01689995237306640.000900047626933648
590.01910.01779996102891260.00130003897108741
600.01850.0190999437097206-0.000599943709720614
610.01860.01850002597691289.99740230871633e-05
620.02040.01859999567123310.00180000432876692
630.02080.02039992206176210.000400077938237861
640.01940.0207999826770586-0.00139998267705859
650.01910.0194000606177336-0.000300060617733605
660.01340.0191000129922998-0.00570001299229975
670.0130.0134002468043889-0.000400246804388923
680.01380.01300001733025310.000799982669746875
690.01240.0137999653616169-0.00139996536161686
700.0130.01240006061698390.000599939383016135
710.01790.01299997402327450.00490002597672549
720.02240.01789978783418240.00450021216581761
730.02640.02239980514568740.00400019485431263
740.02790.02639982679589540.00150017320410461
750.03080.02789993504412510.00290006495587491
760.03880.03079987443032850.00800012556967155
770.0370.0387996536032277-0.00179965360322772
780.04610.03700007792305180.00909992207694817
790.05070.04609960598323010.00460039401676987
800.05220.05069980080792170.00150019919207827
810.04930.0521999350429998-0.00289993504299985
820.05150.04930012556404650.00219987443595354
830.0480.0514999047478196-0.00349990474781959
840.0390.0480001515420849-0.00900015154208486
850.03540.0390003896968138-0.00360038969681377
860.03340.0354001558929743-0.00200015589297432
870.0280.0334000866045838-0.00540008660458381
880.0160.0280002338179012-0.0120002338179012
890.01530.0160005195971269-0.000700519597126947
900.00690.0153000303317398-0.00840003033173983
91-0.0010.00690036371221535-0.00790036371221535
92-0.0066-0.00099965792280809-0.00560034207719191
93-0.002-0.006599757511253750.00459975751125375
94-0.0062-0.00200019916451827-0.00419980083548173
95-0.0058-0.00619981815317260.000399818153172599
96-0.0031-0.005800017311692990.00270001731169299
97-0.0025-0.003100116907825230.000600116907825226
98-9e-04-0.002500025984412130.00160002598441213
990.0013-0.0009000692793921480.00220006927939215
1000.00940.001299904739383080.00810009526061692
1010.01050.009399649274648370.00110035072535163
1020.01580.01049995235600540.00530004764399463
1030.02020.01579977051367750.00440022948632254
1040.02160.02019980947482910.0014001905251709
1050.02060.0215999393732668-0.000999939373266798
1060.02560.02060004329629180.00499995670370816
1070.02540.0255997835072901-0.000199783507290149
1080.02530.0254000086504095-0.000100008650409482
1090.0260.02530000433026620.000699995669733756
1100.02720.02599996969094570.00120003030905434
1110.02810.02719994803998740.000900051960012638
1120.02920.0280999610287250.00110003897127503
1130.02870.029199952369504-0.000499952369503988
1140.02890.02870002164739610.000199978352603894
1150.03270.02889999134115390.00380000865884608
1160.03330.03269983546374080.000600164536259169
1170.03140.0332999740135256-0.00189997401352562
1180.03030.0314000822668169-0.00110008226681693
1190.03090.03030004763237070.000599952367629338
1200.03390.03089997402271230.00300002597728771







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1210.03389987010212450.02683868029489710.0409610599093519
1220.03389987010212450.02391405590006260.0438856843041864
1230.03389987010212450.02166988363187410.0461298565723749
1240.03389987010212450.01977794909799350.0480217911062555
1250.03389987010212450.01811111661645230.0496886235877966
1260.03389987010212450.01660418218820410.0511955580160449
1270.03389987010212450.01521841126722240.0525813289370266
1280.03389987010212450.01392856598885860.0538711742153903
1290.03389987010212450.01271711599013620.0550826242141128
1300.03389987010212450.01157129747525550.0562284427289935
1310.03389987010212450.01048147478268010.0573182654215688
1320.03389987010212450.009440161945194620.0583595782590544

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 0.0338998701021245 & 0.0268386802948971 & 0.0409610599093519 \tabularnewline
122 & 0.0338998701021245 & 0.0239140559000626 & 0.0438856843041864 \tabularnewline
123 & 0.0338998701021245 & 0.0216698836318741 & 0.0461298565723749 \tabularnewline
124 & 0.0338998701021245 & 0.0197779490979935 & 0.0480217911062555 \tabularnewline
125 & 0.0338998701021245 & 0.0181111166164523 & 0.0496886235877966 \tabularnewline
126 & 0.0338998701021245 & 0.0166041821882041 & 0.0511955580160449 \tabularnewline
127 & 0.0338998701021245 & 0.0152184112672224 & 0.0525813289370266 \tabularnewline
128 & 0.0338998701021245 & 0.0139285659888586 & 0.0538711742153903 \tabularnewline
129 & 0.0338998701021245 & 0.0127171159901362 & 0.0550826242141128 \tabularnewline
130 & 0.0338998701021245 & 0.0115712974752555 & 0.0562284427289935 \tabularnewline
131 & 0.0338998701021245 & 0.0104814747826801 & 0.0573182654215688 \tabularnewline
132 & 0.0338998701021245 & 0.00944016194519462 & 0.0583595782590544 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155182&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]121[/C][C]0.0338998701021245[/C][C]0.0268386802948971[/C][C]0.0409610599093519[/C][/ROW]
[ROW][C]122[/C][C]0.0338998701021245[/C][C]0.0239140559000626[/C][C]0.0438856843041864[/C][/ROW]
[ROW][C]123[/C][C]0.0338998701021245[/C][C]0.0216698836318741[/C][C]0.0461298565723749[/C][/ROW]
[ROW][C]124[/C][C]0.0338998701021245[/C][C]0.0197779490979935[/C][C]0.0480217911062555[/C][/ROW]
[ROW][C]125[/C][C]0.0338998701021245[/C][C]0.0181111166164523[/C][C]0.0496886235877966[/C][/ROW]
[ROW][C]126[/C][C]0.0338998701021245[/C][C]0.0166041821882041[/C][C]0.0511955580160449[/C][/ROW]
[ROW][C]127[/C][C]0.0338998701021245[/C][C]0.0152184112672224[/C][C]0.0525813289370266[/C][/ROW]
[ROW][C]128[/C][C]0.0338998701021245[/C][C]0.0139285659888586[/C][C]0.0538711742153903[/C][/ROW]
[ROW][C]129[/C][C]0.0338998701021245[/C][C]0.0127171159901362[/C][C]0.0550826242141128[/C][/ROW]
[ROW][C]130[/C][C]0.0338998701021245[/C][C]0.0115712974752555[/C][C]0.0562284427289935[/C][/ROW]
[ROW][C]131[/C][C]0.0338998701021245[/C][C]0.0104814747826801[/C][C]0.0573182654215688[/C][/ROW]
[ROW][C]132[/C][C]0.0338998701021245[/C][C]0.00944016194519462[/C][C]0.0583595782590544[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155182&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155182&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
1210.03389987010212450.02683868029489710.0409610599093519
1220.03389987010212450.02391405590006260.0438856843041864
1230.03389987010212450.02166988363187410.0461298565723749
1240.03389987010212450.01977794909799350.0480217911062555
1250.03389987010212450.01811111661645230.0496886235877966
1260.03389987010212450.01660418218820410.0511955580160449
1270.03389987010212450.01521841126722240.0525813289370266
1280.03389987010212450.01392856598885860.0538711742153903
1290.03389987010212450.01271711599013620.0550826242141128
1300.03389987010212450.01157129747525550.0562284427289935
1310.03389987010212450.01048147478268010.0573182654215688
1320.03389987010212450.009440161945194620.0583595782590544



Parameters (Session):
par1 = 4 ;
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')