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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 23 Apr 2016 21:58:23 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/23/t1461445135wr6ft9qsjp2fser.htm/, Retrieved Mon, 13 May 2024 15:49:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294618, Retrieved Mon, 13 May 2024 15:49:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2016-04-23 20:58:23] [b2b9e3f51b35fbbda207a2f484be6b24] [Current]
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Dataseries X:
90,75
92,82
97,78
99,32
98,33
98,66
98,13
97,8
99,36
100,37
103,22
101,68
104,39
103,99
106,71
106,06
103,5
100,17
101,1
105,93
108,09
107,27
104,9
102,7
102,06
103,05
102,08
100,13
97,56
97,38
99,66
99,58
102,7
98,92
97,85
99,01
97,71
97,95
97,24
96,69
96,41
96,99
98,36
97,8
96,79
94,73
92,67
87,15
79,54
82,35
86,38
84,75
87,54
86,73
84,74
80,75
79,28
78,52
78,54
77,33




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294618&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294618&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294618&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.107164479492977
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.107164479492977 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294618&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]0.107164479492977[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294618&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294618&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
beta0.107164479492977
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
397.7894.892.89000000000001
499.32100.159705345735-0.8397053457347
598.33101.609718759432-3.27971875943156
698.66100.268249405694-1.60824940569374
798.13100.425902195238-2.29590219523767
897.899.6498630315182-1.84986303151824
999.3699.12162342261230.238376577387712
10100.37100.707168924451-0.337168924451362
11103.22101.6810363921611.53896360783867
12101.68104.695958626154-3.01595862615399
13104.39102.832754989811.55724501019014
14103.99105.70963634077-1.71963634076991
15106.71105.1253524073941.5846475926059
16106.06108.015170341835-1.9551703418355
17103.5107.155645529833-3.6556455298326
18100.17104.203890179417-4.03389017941726
19101.1100.4416004380080.658399561991814
20105.93101.4421574843674.48784251563258
21108.09106.7530947916021.33690520839835
22107.27109.056363542391-1.78636354239111
23104.9108.044928823186-3.14492882318552
24102.7105.337904162806-2.63790416280641
25102.06102.855214536247-0.795214536246903
26103.05102.1299957843850.920004215615251
27102.08103.218587557283-1.13858755728251
28100.13102.126571414349-1.99657141434915
2997.5699.9626098779598-2.40260987795985
3097.3897.13513544096360.244864559036387
3199.6696.9813762239792.67862377602098
3299.5899.54842954669380.0315704533061876
33102.799.47181277788973.22818722211026
3498.92102.937759781253-4.01775978125306
3597.8598.7271986455673-0.877198645567262
3699.0197.56319410930311.44680589069691
3797.7198.878240309507-1.16824030950701
3897.9597.4530464448160.496953555184035
3997.2497.7463022138895-0.506302213889455
4096.6996.9820446006718-0.292044600671844
4196.4196.40074779305210.00925220694787754
4296.9996.12173930099380.868260699006157
4398.3696.7947860068671.56521399313296
4497.898.3325213497363-0.532521349736271
4596.7997.7154539764729-0.925453976472866
4694.7396.6062781827895-1.87627818278946
4792.6794.3452078079468-1.6752078079468
4887.1592.1056850351656-4.9556850351656
4979.5486.054611627841-6.51461162784095
5082.3577.74647666364454.60352333635551
5186.3881.04981084581885.33018915418121
5284.7585.6510177921257-0.901017792125728
5387.5483.92446068941873.61553931058134
5486.7387.1019180777235-0.371918077723521
5584.7486.2520616705102-1.51206167051025
5680.7584.1000223686287-3.35002236862873
5779.2879.7510189652048-0.471018965204806
5878.5278.23054246296730.289457537032689
5978.5477.50156202925871.03843797074127
6077.3377.632845693879-0.302845693878979

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 97.78 & 94.89 & 2.89000000000001 \tabularnewline
4 & 99.32 & 100.159705345735 & -0.8397053457347 \tabularnewline
5 & 98.33 & 101.609718759432 & -3.27971875943156 \tabularnewline
6 & 98.66 & 100.268249405694 & -1.60824940569374 \tabularnewline
7 & 98.13 & 100.425902195238 & -2.29590219523767 \tabularnewline
8 & 97.8 & 99.6498630315182 & -1.84986303151824 \tabularnewline
9 & 99.36 & 99.1216234226123 & 0.238376577387712 \tabularnewline
10 & 100.37 & 100.707168924451 & -0.337168924451362 \tabularnewline
11 & 103.22 & 101.681036392161 & 1.53896360783867 \tabularnewline
12 & 101.68 & 104.695958626154 & -3.01595862615399 \tabularnewline
13 & 104.39 & 102.83275498981 & 1.55724501019014 \tabularnewline
14 & 103.99 & 105.70963634077 & -1.71963634076991 \tabularnewline
15 & 106.71 & 105.125352407394 & 1.5846475926059 \tabularnewline
16 & 106.06 & 108.015170341835 & -1.9551703418355 \tabularnewline
17 & 103.5 & 107.155645529833 & -3.6556455298326 \tabularnewline
18 & 100.17 & 104.203890179417 & -4.03389017941726 \tabularnewline
19 & 101.1 & 100.441600438008 & 0.658399561991814 \tabularnewline
20 & 105.93 & 101.442157484367 & 4.48784251563258 \tabularnewline
21 & 108.09 & 106.753094791602 & 1.33690520839835 \tabularnewline
22 & 107.27 & 109.056363542391 & -1.78636354239111 \tabularnewline
23 & 104.9 & 108.044928823186 & -3.14492882318552 \tabularnewline
24 & 102.7 & 105.337904162806 & -2.63790416280641 \tabularnewline
25 & 102.06 & 102.855214536247 & -0.795214536246903 \tabularnewline
26 & 103.05 & 102.129995784385 & 0.920004215615251 \tabularnewline
27 & 102.08 & 103.218587557283 & -1.13858755728251 \tabularnewline
28 & 100.13 & 102.126571414349 & -1.99657141434915 \tabularnewline
29 & 97.56 & 99.9626098779598 & -2.40260987795985 \tabularnewline
30 & 97.38 & 97.1351354409636 & 0.244864559036387 \tabularnewline
31 & 99.66 & 96.981376223979 & 2.67862377602098 \tabularnewline
32 & 99.58 & 99.5484295466938 & 0.0315704533061876 \tabularnewline
33 & 102.7 & 99.4718127778897 & 3.22818722211026 \tabularnewline
34 & 98.92 & 102.937759781253 & -4.01775978125306 \tabularnewline
35 & 97.85 & 98.7271986455673 & -0.877198645567262 \tabularnewline
36 & 99.01 & 97.5631941093031 & 1.44680589069691 \tabularnewline
37 & 97.71 & 98.878240309507 & -1.16824030950701 \tabularnewline
38 & 97.95 & 97.453046444816 & 0.496953555184035 \tabularnewline
39 & 97.24 & 97.7463022138895 & -0.506302213889455 \tabularnewline
40 & 96.69 & 96.9820446006718 & -0.292044600671844 \tabularnewline
41 & 96.41 & 96.4007477930521 & 0.00925220694787754 \tabularnewline
42 & 96.99 & 96.1217393009938 & 0.868260699006157 \tabularnewline
43 & 98.36 & 96.794786006867 & 1.56521399313296 \tabularnewline
44 & 97.8 & 98.3325213497363 & -0.532521349736271 \tabularnewline
45 & 96.79 & 97.7154539764729 & -0.925453976472866 \tabularnewline
46 & 94.73 & 96.6062781827895 & -1.87627818278946 \tabularnewline
47 & 92.67 & 94.3452078079468 & -1.6752078079468 \tabularnewline
48 & 87.15 & 92.1056850351656 & -4.9556850351656 \tabularnewline
49 & 79.54 & 86.054611627841 & -6.51461162784095 \tabularnewline
50 & 82.35 & 77.7464766636445 & 4.60352333635551 \tabularnewline
51 & 86.38 & 81.0498108458188 & 5.33018915418121 \tabularnewline
52 & 84.75 & 85.6510177921257 & -0.901017792125728 \tabularnewline
53 & 87.54 & 83.9244606894187 & 3.61553931058134 \tabularnewline
54 & 86.73 & 87.1019180777235 & -0.371918077723521 \tabularnewline
55 & 84.74 & 86.2520616705102 & -1.51206167051025 \tabularnewline
56 & 80.75 & 84.1000223686287 & -3.35002236862873 \tabularnewline
57 & 79.28 & 79.7510189652048 & -0.471018965204806 \tabularnewline
58 & 78.52 & 78.2305424629673 & 0.289457537032689 \tabularnewline
59 & 78.54 & 77.5015620292587 & 1.03843797074127 \tabularnewline
60 & 77.33 & 77.632845693879 & -0.302845693878979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294618&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]3[/C][C]97.78[/C][C]94.89[/C][C]2.89000000000001[/C][/ROW]
[ROW][C]4[/C][C]99.32[/C][C]100.159705345735[/C][C]-0.8397053457347[/C][/ROW]
[ROW][C]5[/C][C]98.33[/C][C]101.609718759432[/C][C]-3.27971875943156[/C][/ROW]
[ROW][C]6[/C][C]98.66[/C][C]100.268249405694[/C][C]-1.60824940569374[/C][/ROW]
[ROW][C]7[/C][C]98.13[/C][C]100.425902195238[/C][C]-2.29590219523767[/C][/ROW]
[ROW][C]8[/C][C]97.8[/C][C]99.6498630315182[/C][C]-1.84986303151824[/C][/ROW]
[ROW][C]9[/C][C]99.36[/C][C]99.1216234226123[/C][C]0.238376577387712[/C][/ROW]
[ROW][C]10[/C][C]100.37[/C][C]100.707168924451[/C][C]-0.337168924451362[/C][/ROW]
[ROW][C]11[/C][C]103.22[/C][C]101.681036392161[/C][C]1.53896360783867[/C][/ROW]
[ROW][C]12[/C][C]101.68[/C][C]104.695958626154[/C][C]-3.01595862615399[/C][/ROW]
[ROW][C]13[/C][C]104.39[/C][C]102.83275498981[/C][C]1.55724501019014[/C][/ROW]
[ROW][C]14[/C][C]103.99[/C][C]105.70963634077[/C][C]-1.71963634076991[/C][/ROW]
[ROW][C]15[/C][C]106.71[/C][C]105.125352407394[/C][C]1.5846475926059[/C][/ROW]
[ROW][C]16[/C][C]106.06[/C][C]108.015170341835[/C][C]-1.9551703418355[/C][/ROW]
[ROW][C]17[/C][C]103.5[/C][C]107.155645529833[/C][C]-3.6556455298326[/C][/ROW]
[ROW][C]18[/C][C]100.17[/C][C]104.203890179417[/C][C]-4.03389017941726[/C][/ROW]
[ROW][C]19[/C][C]101.1[/C][C]100.441600438008[/C][C]0.658399561991814[/C][/ROW]
[ROW][C]20[/C][C]105.93[/C][C]101.442157484367[/C][C]4.48784251563258[/C][/ROW]
[ROW][C]21[/C][C]108.09[/C][C]106.753094791602[/C][C]1.33690520839835[/C][/ROW]
[ROW][C]22[/C][C]107.27[/C][C]109.056363542391[/C][C]-1.78636354239111[/C][/ROW]
[ROW][C]23[/C][C]104.9[/C][C]108.044928823186[/C][C]-3.14492882318552[/C][/ROW]
[ROW][C]24[/C][C]102.7[/C][C]105.337904162806[/C][C]-2.63790416280641[/C][/ROW]
[ROW][C]25[/C][C]102.06[/C][C]102.855214536247[/C][C]-0.795214536246903[/C][/ROW]
[ROW][C]26[/C][C]103.05[/C][C]102.129995784385[/C][C]0.920004215615251[/C][/ROW]
[ROW][C]27[/C][C]102.08[/C][C]103.218587557283[/C][C]-1.13858755728251[/C][/ROW]
[ROW][C]28[/C][C]100.13[/C][C]102.126571414349[/C][C]-1.99657141434915[/C][/ROW]
[ROW][C]29[/C][C]97.56[/C][C]99.9626098779598[/C][C]-2.40260987795985[/C][/ROW]
[ROW][C]30[/C][C]97.38[/C][C]97.1351354409636[/C][C]0.244864559036387[/C][/ROW]
[ROW][C]31[/C][C]99.66[/C][C]96.981376223979[/C][C]2.67862377602098[/C][/ROW]
[ROW][C]32[/C][C]99.58[/C][C]99.5484295466938[/C][C]0.0315704533061876[/C][/ROW]
[ROW][C]33[/C][C]102.7[/C][C]99.4718127778897[/C][C]3.22818722211026[/C][/ROW]
[ROW][C]34[/C][C]98.92[/C][C]102.937759781253[/C][C]-4.01775978125306[/C][/ROW]
[ROW][C]35[/C][C]97.85[/C][C]98.7271986455673[/C][C]-0.877198645567262[/C][/ROW]
[ROW][C]36[/C][C]99.01[/C][C]97.5631941093031[/C][C]1.44680589069691[/C][/ROW]
[ROW][C]37[/C][C]97.71[/C][C]98.878240309507[/C][C]-1.16824030950701[/C][/ROW]
[ROW][C]38[/C][C]97.95[/C][C]97.453046444816[/C][C]0.496953555184035[/C][/ROW]
[ROW][C]39[/C][C]97.24[/C][C]97.7463022138895[/C][C]-0.506302213889455[/C][/ROW]
[ROW][C]40[/C][C]96.69[/C][C]96.9820446006718[/C][C]-0.292044600671844[/C][/ROW]
[ROW][C]41[/C][C]96.41[/C][C]96.4007477930521[/C][C]0.00925220694787754[/C][/ROW]
[ROW][C]42[/C][C]96.99[/C][C]96.1217393009938[/C][C]0.868260699006157[/C][/ROW]
[ROW][C]43[/C][C]98.36[/C][C]96.794786006867[/C][C]1.56521399313296[/C][/ROW]
[ROW][C]44[/C][C]97.8[/C][C]98.3325213497363[/C][C]-0.532521349736271[/C][/ROW]
[ROW][C]45[/C][C]96.79[/C][C]97.7154539764729[/C][C]-0.925453976472866[/C][/ROW]
[ROW][C]46[/C][C]94.73[/C][C]96.6062781827895[/C][C]-1.87627818278946[/C][/ROW]
[ROW][C]47[/C][C]92.67[/C][C]94.3452078079468[/C][C]-1.6752078079468[/C][/ROW]
[ROW][C]48[/C][C]87.15[/C][C]92.1056850351656[/C][C]-4.9556850351656[/C][/ROW]
[ROW][C]49[/C][C]79.54[/C][C]86.054611627841[/C][C]-6.51461162784095[/C][/ROW]
[ROW][C]50[/C][C]82.35[/C][C]77.7464766636445[/C][C]4.60352333635551[/C][/ROW]
[ROW][C]51[/C][C]86.38[/C][C]81.0498108458188[/C][C]5.33018915418121[/C][/ROW]
[ROW][C]52[/C][C]84.75[/C][C]85.6510177921257[/C][C]-0.901017792125728[/C][/ROW]
[ROW][C]53[/C][C]87.54[/C][C]83.9244606894187[/C][C]3.61553931058134[/C][/ROW]
[ROW][C]54[/C][C]86.73[/C][C]87.1019180777235[/C][C]-0.371918077723521[/C][/ROW]
[ROW][C]55[/C][C]84.74[/C][C]86.2520616705102[/C][C]-1.51206167051025[/C][/ROW]
[ROW][C]56[/C][C]80.75[/C][C]84.1000223686287[/C][C]-3.35002236862873[/C][/ROW]
[ROW][C]57[/C][C]79.28[/C][C]79.7510189652048[/C][C]-0.471018965204806[/C][/ROW]
[ROW][C]58[/C][C]78.52[/C][C]78.2305424629673[/C][C]0.289457537032689[/C][/ROW]
[ROW][C]59[/C][C]78.54[/C][C]77.5015620292587[/C][C]1.03843797074127[/C][/ROW]
[ROW][C]60[/C][C]77.33[/C][C]77.632845693879[/C][C]-0.302845693878979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294618&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294618&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
397.7894.892.89000000000001
499.32100.159705345735-0.8397053457347
598.33101.609718759432-3.27971875943156
698.66100.268249405694-1.60824940569374
798.13100.425902195238-2.29590219523767
897.899.6498630315182-1.84986303151824
999.3699.12162342261230.238376577387712
10100.37100.707168924451-0.337168924451362
11103.22101.6810363921611.53896360783867
12101.68104.695958626154-3.01595862615399
13104.39102.832754989811.55724501019014
14103.99105.70963634077-1.71963634076991
15106.71105.1253524073941.5846475926059
16106.06108.015170341835-1.9551703418355
17103.5107.155645529833-3.6556455298326
18100.17104.203890179417-4.03389017941726
19101.1100.4416004380080.658399561991814
20105.93101.4421574843674.48784251563258
21108.09106.7530947916021.33690520839835
22107.27109.056363542391-1.78636354239111
23104.9108.044928823186-3.14492882318552
24102.7105.337904162806-2.63790416280641
25102.06102.855214536247-0.795214536246903
26103.05102.1299957843850.920004215615251
27102.08103.218587557283-1.13858755728251
28100.13102.126571414349-1.99657141434915
2997.5699.9626098779598-2.40260987795985
3097.3897.13513544096360.244864559036387
3199.6696.9813762239792.67862377602098
3299.5899.54842954669380.0315704533061876
33102.799.47181277788973.22818722211026
3498.92102.937759781253-4.01775978125306
3597.8598.7271986455673-0.877198645567262
3699.0197.56319410930311.44680589069691
3797.7198.878240309507-1.16824030950701
3897.9597.4530464448160.496953555184035
3997.2497.7463022138895-0.506302213889455
4096.6996.9820446006718-0.292044600671844
4196.4196.40074779305210.00925220694787754
4296.9996.12173930099380.868260699006157
4398.3696.7947860068671.56521399313296
4497.898.3325213497363-0.532521349736271
4596.7997.7154539764729-0.925453976472866
4694.7396.6062781827895-1.87627818278946
4792.6794.3452078079468-1.6752078079468
4887.1592.1056850351656-4.9556850351656
4979.5486.054611627841-6.51461162784095
5082.3577.74647666364454.60352333635551
5186.3881.04981084581885.33018915418121
5284.7585.6510177921257-0.901017792125728
5387.5483.92446068941873.61553931058134
5486.7387.1019180777235-0.371918077723521
5584.7486.2520616705102-1.51206167051025
5680.7584.1000223686287-3.35002236862873
5779.2879.7510189652048-0.471018965204806
5878.5278.23054246296730.289457537032689
5978.5477.50156202925871.03843797074127
6077.3377.632845693879-0.302845693878979







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6176.390391392727771.744189833060381.0365929523951
6275.450782785455568.519040598476382.3825249724347
6374.511174178183265.573534291757283.4488140646092
6473.57156557091162.728130496660984.415000645161
6572.631956963638759.918149254882285.3457646723952
6671.692348356366457.112921146250486.2717755664825
6770.752739749094254.295756961616287.2097225365721
6869.813131141821951.456811117633688.1694511660102
6968.873522534549748.589979225683689.1570658434157
7067.933913927277445.691363719120290.1764641354346
7166.994305320005142.758442617637491.2301680223729
7266.054696712732939.789587595162392.3198058303034

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 76.3903913927277 & 71.7441898330603 & 81.0365929523951 \tabularnewline
62 & 75.4507827854555 & 68.5190405984763 & 82.3825249724347 \tabularnewline
63 & 74.5111741781832 & 65.5735342917572 & 83.4488140646092 \tabularnewline
64 & 73.571565570911 & 62.7281304966609 & 84.415000645161 \tabularnewline
65 & 72.6319569636387 & 59.9181492548822 & 85.3457646723952 \tabularnewline
66 & 71.6923483563664 & 57.1129211462504 & 86.2717755664825 \tabularnewline
67 & 70.7527397490942 & 54.2957569616162 & 87.2097225365721 \tabularnewline
68 & 69.8131311418219 & 51.4568111176336 & 88.1694511660102 \tabularnewline
69 & 68.8735225345497 & 48.5899792256836 & 89.1570658434157 \tabularnewline
70 & 67.9339139272774 & 45.6913637191202 & 90.1764641354346 \tabularnewline
71 & 66.9943053200051 & 42.7584426176374 & 91.2301680223729 \tabularnewline
72 & 66.0546967127329 & 39.7895875951623 & 92.3198058303034 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294618&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]61[/C][C]76.3903913927277[/C][C]71.7441898330603[/C][C]81.0365929523951[/C][/ROW]
[ROW][C]62[/C][C]75.4507827854555[/C][C]68.5190405984763[/C][C]82.3825249724347[/C][/ROW]
[ROW][C]63[/C][C]74.5111741781832[/C][C]65.5735342917572[/C][C]83.4488140646092[/C][/ROW]
[ROW][C]64[/C][C]73.571565570911[/C][C]62.7281304966609[/C][C]84.415000645161[/C][/ROW]
[ROW][C]65[/C][C]72.6319569636387[/C][C]59.9181492548822[/C][C]85.3457646723952[/C][/ROW]
[ROW][C]66[/C][C]71.6923483563664[/C][C]57.1129211462504[/C][C]86.2717755664825[/C][/ROW]
[ROW][C]67[/C][C]70.7527397490942[/C][C]54.2957569616162[/C][C]87.2097225365721[/C][/ROW]
[ROW][C]68[/C][C]69.8131311418219[/C][C]51.4568111176336[/C][C]88.1694511660102[/C][/ROW]
[ROW][C]69[/C][C]68.8735225345497[/C][C]48.5899792256836[/C][C]89.1570658434157[/C][/ROW]
[ROW][C]70[/C][C]67.9339139272774[/C][C]45.6913637191202[/C][C]90.1764641354346[/C][/ROW]
[ROW][C]71[/C][C]66.9943053200051[/C][C]42.7584426176374[/C][C]91.2301680223729[/C][/ROW]
[ROW][C]72[/C][C]66.0546967127329[/C][C]39.7895875951623[/C][C]92.3198058303034[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294618&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294618&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
6176.390391392727771.744189833060381.0365929523951
6275.450782785455568.519040598476382.3825249724347
6374.511174178183265.573534291757283.4488140646092
6473.57156557091162.728130496660984.415000645161
6572.631956963638759.918149254882285.3457646723952
6671.692348356366457.112921146250486.2717755664825
6770.752739749094254.295756961616287.2097225365721
6869.813131141821951.456811117633688.1694511660102
6968.873522534549748.589979225683689.1570658434157
7067.933913927277445.691363719120290.1764641354346
7166.994305320005142.758442617637491.2301680223729
7266.054696712732939.789587595162392.3198058303034



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