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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 computationSun, 29 Nov 2015 14:31:54 +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/2015/Nov/29/t144880752722rl7gy39i0ppyf.htm/, Retrieved Sat, 11 May 2024 07:55:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284460, Retrieved Sat, 11 May 2024 07:55:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-11-29 14:31:54] [3f4cdac9fd89e14266cb9d7908aad4b9] [Current]
- R PD    [Exponential Smoothing] [] [2016-01-07 15:35:58] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
104,93
105,68
106,93
107,29
107,25
106,74
106,44
106,6
107,26
107,35
107,22
106,99
106,87
107,68
108,9
109,48
109,57
109,03
109,58
109,76
110,15
110,2
109,86
109,58
109,52
110,35
111,61
112,06
111,9
111,36
112,09
112,24
112,7
113,36
112,9
112,74
112,7
113,66
114,87
114,97
115
114,57
115,54
115,39
115,46
115,13
114,56
114,62
114,37
114,86
115,82
116,35
115,95
115,64
116,58
116,5
116,48
116,34
115,65
115,42




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284460&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284460&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284460&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999948988531775
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999948988531775 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284460&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]0.999948988531775[/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=284460&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284460&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
alpha0.999948988531775
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2105.68104.930.75
3106.93105.6799617413991.25003825860117
4107.29106.9299362337130.360063766286913
5107.25107.289981632619-0.039981632618634
6106.74107.250002039522-0.510002039521794
7106.44106.740026015953-0.300026015952838
8106.6106.4400153047680.159984695232424
9107.26106.5999918389460.660008161054208
10107.35107.2599663320150.090033667985324
11107.22107.34999540725-0.129995407250405
12106.99107.220006631257-0.230006631256586
13106.87106.990011732976-0.120011732975954
14107.68106.8700061219750.80999387802531
15108.9107.6799586810231.22004131897697
16109.48108.8999377639010.580062236098982
17109.57109.4799704101740.0900295898263153
18109.03109.569995407458-0.539995407458434
19109.58109.0300275459590.549972454041423
20109.76109.5799719450980.18002805490238
21110.15109.7599908165050.390009183495394
22110.2110.1499801050590.0500198949410731
23109.86110.199997448412-0.339997448411722
24109.58109.860017343769-0.280017343769032
25109.52109.580014284096-0.0600142840958284
26110.35109.5200030614170.82999693858325
27111.61110.3499576606381.26004233936246
28112.06111.609935723390.450064276609766
29111.9112.05997704156-0.159977041560452
30111.36111.900008160664-0.540008160663774
31112.09111.3600275466090.729972453390872
32112.24112.0899627630330.150037236966611
33112.7112.239992346380.460007653619755
34113.36112.6999765343340.660023465665802
35112.9113.359966331234-0.459966331233943
36112.74112.900023463558-0.160023463557906
37112.7112.740008163032-0.0400081630318141
38113.66112.7000020408750.959997959124863
39114.87113.6599510290951.21004897090539
40114.97114.8699382736250.100061726374619
41115114.9699948957040.0300051042955829
42114.57114.999998469396-0.429998469395585
43115.54114.5700219348530.969978065146762
44115.39115.539950519995-0.149950519994746
45115.46115.3900076491960.0699923508038154
46115.13115.459996429587-0.329996429587425
47114.56115.130016833602-0.570016833602367
48114.62114.5600290773960.059970922604407
49114.37114.619996940795-0.249996940795199
50114.86114.3700127527110.489987247288994
51115.82114.8599750050310.96002499496889
52116.35115.8199510277150.530048972284533
53115.95116.349972961424-0.399972961423686
54115.64115.950020403208-0.310020403208014
55116.58115.6400158145960.939984185404043
56116.5116.579952050027-0.0799520500266055
57116.48116.500004078471-0.0200040784714588
58116.34116.480001020437-0.14000102043741
59115.65116.340007141658-0.690007141657603
60115.42115.650035198277-0.230035198277378

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 105.68 & 104.93 & 0.75 \tabularnewline
3 & 106.93 & 105.679961741399 & 1.25003825860117 \tabularnewline
4 & 107.29 & 106.929936233713 & 0.360063766286913 \tabularnewline
5 & 107.25 & 107.289981632619 & -0.039981632618634 \tabularnewline
6 & 106.74 & 107.250002039522 & -0.510002039521794 \tabularnewline
7 & 106.44 & 106.740026015953 & -0.300026015952838 \tabularnewline
8 & 106.6 & 106.440015304768 & 0.159984695232424 \tabularnewline
9 & 107.26 & 106.599991838946 & 0.660008161054208 \tabularnewline
10 & 107.35 & 107.259966332015 & 0.090033667985324 \tabularnewline
11 & 107.22 & 107.34999540725 & -0.129995407250405 \tabularnewline
12 & 106.99 & 107.220006631257 & -0.230006631256586 \tabularnewline
13 & 106.87 & 106.990011732976 & -0.120011732975954 \tabularnewline
14 & 107.68 & 106.870006121975 & 0.80999387802531 \tabularnewline
15 & 108.9 & 107.679958681023 & 1.22004131897697 \tabularnewline
16 & 109.48 & 108.899937763901 & 0.580062236098982 \tabularnewline
17 & 109.57 & 109.479970410174 & 0.0900295898263153 \tabularnewline
18 & 109.03 & 109.569995407458 & -0.539995407458434 \tabularnewline
19 & 109.58 & 109.030027545959 & 0.549972454041423 \tabularnewline
20 & 109.76 & 109.579971945098 & 0.18002805490238 \tabularnewline
21 & 110.15 & 109.759990816505 & 0.390009183495394 \tabularnewline
22 & 110.2 & 110.149980105059 & 0.0500198949410731 \tabularnewline
23 & 109.86 & 110.199997448412 & -0.339997448411722 \tabularnewline
24 & 109.58 & 109.860017343769 & -0.280017343769032 \tabularnewline
25 & 109.52 & 109.580014284096 & -0.0600142840958284 \tabularnewline
26 & 110.35 & 109.520003061417 & 0.82999693858325 \tabularnewline
27 & 111.61 & 110.349957660638 & 1.26004233936246 \tabularnewline
28 & 112.06 & 111.60993572339 & 0.450064276609766 \tabularnewline
29 & 111.9 & 112.05997704156 & -0.159977041560452 \tabularnewline
30 & 111.36 & 111.900008160664 & -0.540008160663774 \tabularnewline
31 & 112.09 & 111.360027546609 & 0.729972453390872 \tabularnewline
32 & 112.24 & 112.089962763033 & 0.150037236966611 \tabularnewline
33 & 112.7 & 112.23999234638 & 0.460007653619755 \tabularnewline
34 & 113.36 & 112.699976534334 & 0.660023465665802 \tabularnewline
35 & 112.9 & 113.359966331234 & -0.459966331233943 \tabularnewline
36 & 112.74 & 112.900023463558 & -0.160023463557906 \tabularnewline
37 & 112.7 & 112.740008163032 & -0.0400081630318141 \tabularnewline
38 & 113.66 & 112.700002040875 & 0.959997959124863 \tabularnewline
39 & 114.87 & 113.659951029095 & 1.21004897090539 \tabularnewline
40 & 114.97 & 114.869938273625 & 0.100061726374619 \tabularnewline
41 & 115 & 114.969994895704 & 0.0300051042955829 \tabularnewline
42 & 114.57 & 114.999998469396 & -0.429998469395585 \tabularnewline
43 & 115.54 & 114.570021934853 & 0.969978065146762 \tabularnewline
44 & 115.39 & 115.539950519995 & -0.149950519994746 \tabularnewline
45 & 115.46 & 115.390007649196 & 0.0699923508038154 \tabularnewline
46 & 115.13 & 115.459996429587 & -0.329996429587425 \tabularnewline
47 & 114.56 & 115.130016833602 & -0.570016833602367 \tabularnewline
48 & 114.62 & 114.560029077396 & 0.059970922604407 \tabularnewline
49 & 114.37 & 114.619996940795 & -0.249996940795199 \tabularnewline
50 & 114.86 & 114.370012752711 & 0.489987247288994 \tabularnewline
51 & 115.82 & 114.859975005031 & 0.96002499496889 \tabularnewline
52 & 116.35 & 115.819951027715 & 0.530048972284533 \tabularnewline
53 & 115.95 & 116.349972961424 & -0.399972961423686 \tabularnewline
54 & 115.64 & 115.950020403208 & -0.310020403208014 \tabularnewline
55 & 116.58 & 115.640015814596 & 0.939984185404043 \tabularnewline
56 & 116.5 & 116.579952050027 & -0.0799520500266055 \tabularnewline
57 & 116.48 & 116.500004078471 & -0.0200040784714588 \tabularnewline
58 & 116.34 & 116.480001020437 & -0.14000102043741 \tabularnewline
59 & 115.65 & 116.340007141658 & -0.690007141657603 \tabularnewline
60 & 115.42 & 115.650035198277 & -0.230035198277378 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284460&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]105.68[/C][C]104.93[/C][C]0.75[/C][/ROW]
[ROW][C]3[/C][C]106.93[/C][C]105.679961741399[/C][C]1.25003825860117[/C][/ROW]
[ROW][C]4[/C][C]107.29[/C][C]106.929936233713[/C][C]0.360063766286913[/C][/ROW]
[ROW][C]5[/C][C]107.25[/C][C]107.289981632619[/C][C]-0.039981632618634[/C][/ROW]
[ROW][C]6[/C][C]106.74[/C][C]107.250002039522[/C][C]-0.510002039521794[/C][/ROW]
[ROW][C]7[/C][C]106.44[/C][C]106.740026015953[/C][C]-0.300026015952838[/C][/ROW]
[ROW][C]8[/C][C]106.6[/C][C]106.440015304768[/C][C]0.159984695232424[/C][/ROW]
[ROW][C]9[/C][C]107.26[/C][C]106.599991838946[/C][C]0.660008161054208[/C][/ROW]
[ROW][C]10[/C][C]107.35[/C][C]107.259966332015[/C][C]0.090033667985324[/C][/ROW]
[ROW][C]11[/C][C]107.22[/C][C]107.34999540725[/C][C]-0.129995407250405[/C][/ROW]
[ROW][C]12[/C][C]106.99[/C][C]107.220006631257[/C][C]-0.230006631256586[/C][/ROW]
[ROW][C]13[/C][C]106.87[/C][C]106.990011732976[/C][C]-0.120011732975954[/C][/ROW]
[ROW][C]14[/C][C]107.68[/C][C]106.870006121975[/C][C]0.80999387802531[/C][/ROW]
[ROW][C]15[/C][C]108.9[/C][C]107.679958681023[/C][C]1.22004131897697[/C][/ROW]
[ROW][C]16[/C][C]109.48[/C][C]108.899937763901[/C][C]0.580062236098982[/C][/ROW]
[ROW][C]17[/C][C]109.57[/C][C]109.479970410174[/C][C]0.0900295898263153[/C][/ROW]
[ROW][C]18[/C][C]109.03[/C][C]109.569995407458[/C][C]-0.539995407458434[/C][/ROW]
[ROW][C]19[/C][C]109.58[/C][C]109.030027545959[/C][C]0.549972454041423[/C][/ROW]
[ROW][C]20[/C][C]109.76[/C][C]109.579971945098[/C][C]0.18002805490238[/C][/ROW]
[ROW][C]21[/C][C]110.15[/C][C]109.759990816505[/C][C]0.390009183495394[/C][/ROW]
[ROW][C]22[/C][C]110.2[/C][C]110.149980105059[/C][C]0.0500198949410731[/C][/ROW]
[ROW][C]23[/C][C]109.86[/C][C]110.199997448412[/C][C]-0.339997448411722[/C][/ROW]
[ROW][C]24[/C][C]109.58[/C][C]109.860017343769[/C][C]-0.280017343769032[/C][/ROW]
[ROW][C]25[/C][C]109.52[/C][C]109.580014284096[/C][C]-0.0600142840958284[/C][/ROW]
[ROW][C]26[/C][C]110.35[/C][C]109.520003061417[/C][C]0.82999693858325[/C][/ROW]
[ROW][C]27[/C][C]111.61[/C][C]110.349957660638[/C][C]1.26004233936246[/C][/ROW]
[ROW][C]28[/C][C]112.06[/C][C]111.60993572339[/C][C]0.450064276609766[/C][/ROW]
[ROW][C]29[/C][C]111.9[/C][C]112.05997704156[/C][C]-0.159977041560452[/C][/ROW]
[ROW][C]30[/C][C]111.36[/C][C]111.900008160664[/C][C]-0.540008160663774[/C][/ROW]
[ROW][C]31[/C][C]112.09[/C][C]111.360027546609[/C][C]0.729972453390872[/C][/ROW]
[ROW][C]32[/C][C]112.24[/C][C]112.089962763033[/C][C]0.150037236966611[/C][/ROW]
[ROW][C]33[/C][C]112.7[/C][C]112.23999234638[/C][C]0.460007653619755[/C][/ROW]
[ROW][C]34[/C][C]113.36[/C][C]112.699976534334[/C][C]0.660023465665802[/C][/ROW]
[ROW][C]35[/C][C]112.9[/C][C]113.359966331234[/C][C]-0.459966331233943[/C][/ROW]
[ROW][C]36[/C][C]112.74[/C][C]112.900023463558[/C][C]-0.160023463557906[/C][/ROW]
[ROW][C]37[/C][C]112.7[/C][C]112.740008163032[/C][C]-0.0400081630318141[/C][/ROW]
[ROW][C]38[/C][C]113.66[/C][C]112.700002040875[/C][C]0.959997959124863[/C][/ROW]
[ROW][C]39[/C][C]114.87[/C][C]113.659951029095[/C][C]1.21004897090539[/C][/ROW]
[ROW][C]40[/C][C]114.97[/C][C]114.869938273625[/C][C]0.100061726374619[/C][/ROW]
[ROW][C]41[/C][C]115[/C][C]114.969994895704[/C][C]0.0300051042955829[/C][/ROW]
[ROW][C]42[/C][C]114.57[/C][C]114.999998469396[/C][C]-0.429998469395585[/C][/ROW]
[ROW][C]43[/C][C]115.54[/C][C]114.570021934853[/C][C]0.969978065146762[/C][/ROW]
[ROW][C]44[/C][C]115.39[/C][C]115.539950519995[/C][C]-0.149950519994746[/C][/ROW]
[ROW][C]45[/C][C]115.46[/C][C]115.390007649196[/C][C]0.0699923508038154[/C][/ROW]
[ROW][C]46[/C][C]115.13[/C][C]115.459996429587[/C][C]-0.329996429587425[/C][/ROW]
[ROW][C]47[/C][C]114.56[/C][C]115.130016833602[/C][C]-0.570016833602367[/C][/ROW]
[ROW][C]48[/C][C]114.62[/C][C]114.560029077396[/C][C]0.059970922604407[/C][/ROW]
[ROW][C]49[/C][C]114.37[/C][C]114.619996940795[/C][C]-0.249996940795199[/C][/ROW]
[ROW][C]50[/C][C]114.86[/C][C]114.370012752711[/C][C]0.489987247288994[/C][/ROW]
[ROW][C]51[/C][C]115.82[/C][C]114.859975005031[/C][C]0.96002499496889[/C][/ROW]
[ROW][C]52[/C][C]116.35[/C][C]115.819951027715[/C][C]0.530048972284533[/C][/ROW]
[ROW][C]53[/C][C]115.95[/C][C]116.349972961424[/C][C]-0.399972961423686[/C][/ROW]
[ROW][C]54[/C][C]115.64[/C][C]115.950020403208[/C][C]-0.310020403208014[/C][/ROW]
[ROW][C]55[/C][C]116.58[/C][C]115.640015814596[/C][C]0.939984185404043[/C][/ROW]
[ROW][C]56[/C][C]116.5[/C][C]116.579952050027[/C][C]-0.0799520500266055[/C][/ROW]
[ROW][C]57[/C][C]116.48[/C][C]116.500004078471[/C][C]-0.0200040784714588[/C][/ROW]
[ROW][C]58[/C][C]116.34[/C][C]116.480001020437[/C][C]-0.14000102043741[/C][/ROW]
[ROW][C]59[/C][C]115.65[/C][C]116.340007141658[/C][C]-0.690007141657603[/C][/ROW]
[ROW][C]60[/C][C]115.42[/C][C]115.650035198277[/C][C]-0.230035198277378[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284460&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284460&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
2105.68104.930.75
3106.93105.6799617413991.25003825860117
4107.29106.9299362337130.360063766286913
5107.25107.289981632619-0.039981632618634
6106.74107.250002039522-0.510002039521794
7106.44106.740026015953-0.300026015952838
8106.6106.4400153047680.159984695232424
9107.26106.5999918389460.660008161054208
10107.35107.2599663320150.090033667985324
11107.22107.34999540725-0.129995407250405
12106.99107.220006631257-0.230006631256586
13106.87106.990011732976-0.120011732975954
14107.68106.8700061219750.80999387802531
15108.9107.6799586810231.22004131897697
16109.48108.8999377639010.580062236098982
17109.57109.4799704101740.0900295898263153
18109.03109.569995407458-0.539995407458434
19109.58109.0300275459590.549972454041423
20109.76109.5799719450980.18002805490238
21110.15109.7599908165050.390009183495394
22110.2110.1499801050590.0500198949410731
23109.86110.199997448412-0.339997448411722
24109.58109.860017343769-0.280017343769032
25109.52109.580014284096-0.0600142840958284
26110.35109.5200030614170.82999693858325
27111.61110.3499576606381.26004233936246
28112.06111.609935723390.450064276609766
29111.9112.05997704156-0.159977041560452
30111.36111.900008160664-0.540008160663774
31112.09111.3600275466090.729972453390872
32112.24112.0899627630330.150037236966611
33112.7112.239992346380.460007653619755
34113.36112.6999765343340.660023465665802
35112.9113.359966331234-0.459966331233943
36112.74112.900023463558-0.160023463557906
37112.7112.740008163032-0.0400081630318141
38113.66112.7000020408750.959997959124863
39114.87113.6599510290951.21004897090539
40114.97114.8699382736250.100061726374619
41115114.9699948957040.0300051042955829
42114.57114.999998469396-0.429998469395585
43115.54114.5700219348530.969978065146762
44115.39115.539950519995-0.149950519994746
45115.46115.3900076491960.0699923508038154
46115.13115.459996429587-0.329996429587425
47114.56115.130016833602-0.570016833602367
48114.62114.5600290773960.059970922604407
49114.37114.619996940795-0.249996940795199
50114.86114.3700127527110.489987247288994
51115.82114.8599750050310.96002499496889
52116.35115.8199510277150.530048972284533
53115.95116.349972961424-0.399972961423686
54115.64115.950020403208-0.310020403208014
55116.58115.6400158145960.939984185404043
56116.5116.579952050027-0.0799520500266055
57116.48116.500004078471-0.0200040784714588
58116.34116.480001020437-0.14000102043741
59115.65116.340007141658-0.690007141657603
60115.42115.650035198277-0.230035198277378







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61115.420011734433114.384562829243116.455460639623
62115.420011734433113.95570319831116.884320270557
63115.420011734433113.6266226125117.213400856367
64115.420011734433113.349193153202117.490830315665
65115.420011734433113.104772081594117.735251387272
66115.420011734433112.883798079438117.956225389428
67115.420011734433112.680591219527118.159432249339
68115.420011734433112.491450686547118.348572782319
69115.420011734433112.313805871182118.526217597685
70115.420011734433112.14578512062118.694238348247
71115.420011734433111.98597548356118.854047985306
72115.420011734433111.833279234509119.006744234358

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 115.420011734433 & 114.384562829243 & 116.455460639623 \tabularnewline
62 & 115.420011734433 & 113.95570319831 & 116.884320270557 \tabularnewline
63 & 115.420011734433 & 113.6266226125 & 117.213400856367 \tabularnewline
64 & 115.420011734433 & 113.349193153202 & 117.490830315665 \tabularnewline
65 & 115.420011734433 & 113.104772081594 & 117.735251387272 \tabularnewline
66 & 115.420011734433 & 112.883798079438 & 117.956225389428 \tabularnewline
67 & 115.420011734433 & 112.680591219527 & 118.159432249339 \tabularnewline
68 & 115.420011734433 & 112.491450686547 & 118.348572782319 \tabularnewline
69 & 115.420011734433 & 112.313805871182 & 118.526217597685 \tabularnewline
70 & 115.420011734433 & 112.14578512062 & 118.694238348247 \tabularnewline
71 & 115.420011734433 & 111.98597548356 & 118.854047985306 \tabularnewline
72 & 115.420011734433 & 111.833279234509 & 119.006744234358 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284460&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]115.420011734433[/C][C]114.384562829243[/C][C]116.455460639623[/C][/ROW]
[ROW][C]62[/C][C]115.420011734433[/C][C]113.95570319831[/C][C]116.884320270557[/C][/ROW]
[ROW][C]63[/C][C]115.420011734433[/C][C]113.6266226125[/C][C]117.213400856367[/C][/ROW]
[ROW][C]64[/C][C]115.420011734433[/C][C]113.349193153202[/C][C]117.490830315665[/C][/ROW]
[ROW][C]65[/C][C]115.420011734433[/C][C]113.104772081594[/C][C]117.735251387272[/C][/ROW]
[ROW][C]66[/C][C]115.420011734433[/C][C]112.883798079438[/C][C]117.956225389428[/C][/ROW]
[ROW][C]67[/C][C]115.420011734433[/C][C]112.680591219527[/C][C]118.159432249339[/C][/ROW]
[ROW][C]68[/C][C]115.420011734433[/C][C]112.491450686547[/C][C]118.348572782319[/C][/ROW]
[ROW][C]69[/C][C]115.420011734433[/C][C]112.313805871182[/C][C]118.526217597685[/C][/ROW]
[ROW][C]70[/C][C]115.420011734433[/C][C]112.14578512062[/C][C]118.694238348247[/C][/ROW]
[ROW][C]71[/C][C]115.420011734433[/C][C]111.98597548356[/C][C]118.854047985306[/C][/ROW]
[ROW][C]72[/C][C]115.420011734433[/C][C]111.833279234509[/C][C]119.006744234358[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284460&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284460&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
61115.420011734433114.384562829243116.455460639623
62115.420011734433113.95570319831116.884320270557
63115.420011734433113.6266226125117.213400856367
64115.420011734433113.349193153202117.490830315665
65115.420011734433113.104772081594117.735251387272
66115.420011734433112.883798079438117.956225389428
67115.420011734433112.680591219527118.159432249339
68115.420011734433112.491450686547118.348572782319
69115.420011734433112.313805871182118.526217597685
70115.420011734433112.14578512062118.694238348247
71115.420011734433111.98597548356118.854047985306
72115.420011734433111.833279234509119.006744234358



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=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')