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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 18:23:40 +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/t1448821453nvjxod6y4nf3xuq.htm/, Retrieved Wed, 15 May 2024 03:49:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284507, Retrieved Wed, 15 May 2024 03:49:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-11-29 18:23:40] [d1a83db1c928d515dd26931964d56abe] [Current]
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Dataseries X:
90.65
90.93
91.42
91.52
91.76
91.47
91.37
91.35
91.74
91.78
91.88
91.99
92.55
92.94
92.81
93.35
93.72
93.94
94.03
93.66
93.78
94.1
94.85
94.83
95.06
95.87
95.97
95.96
96.3
96.17
96.18
96.55
96.76
97.63
97.86
97.82
98.62
99.24
99.63
100.27
100.84
101.05
100.38
100.02
99.97
99.95
100
100.04
100.51
100.29
100.22
101.29
100.29
100.26
100.39
99.3
98.9
98.76
99.12
99.28




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=284507&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=284507&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284507&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
alpha0.999954537677654
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999954537677654 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284507&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]0.999954537677654[/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=284507&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284507&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
alpha0.999954537677654
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
290.9390.650.280000000000001
391.4290.92998727054980.490012729450243
491.5291.41997772288330.100022277116651
591.7691.5199954527550.240004547245007
691.4791.7599890888359-0.28998908883591
791.3791.4700131835774-0.100013183577431
891.3591.3700045468316-0.0200045468316006
991.7491.35000090945320.389999090546837
1091.7891.73998226973560.0400177302643669
1191.8891.77999818070110.100001819298939
1291.9991.8799954536850.110004546314954
1392.5591.98999499893780.560005001062152
1492.9492.54997454087210.39002545912787
1592.8192.9399822685369-0.12998226853685
1693.3592.81000590929580.539994090704198
1793.7293.34997545061460.37002454938542
1893.9493.71998317782470.220016822175339
1994.0393.93998999752430.0900100024756938
2093.6694.0299959079363-0.369995907936257
2193.7893.66001682087320.119983179126763
2294.193.7799945452860.32000545471395
2394.8594.09998545180890.750014548191132
2494.8394.8499659025968-0.0199659025968515
2595.0694.83000090769630.229999092303714
2695.8795.05998954370710.810010456292886
2795.9795.86996317504350.100036824956462
2895.9695.9699954520936-0.00999545209361941
2996.395.96000045441640.339999545583552
3096.1796.2999845428311-0.129984542831053
3196.1896.17000590939920.00999409060081291
3296.5596.17999954564540.370000454354553
3396.7696.54998317892010.210016821079932
3497.6396.75999045214760.870009547852405
3597.8697.62996044734550.230039552654517
3697.8297.8599895418677-0.0399895418677119
3798.6297.82000181801740.799998181982573
3899.2498.61996363022480.620036369775221
3999.6399.23997181170670.390028188293314
40100.2799.62998226841280.640017731587221
41100.84100.2699709033080.570029096692437
42101.05100.8399740851530.210025914846526
43100.38101.049990451734-0.669990451734151
44100.02100.380030459322-0.360030459321891
4599.97100.020016367821-0.0500163678207883
4699.9599.9700022738602-0.0200022738602428
4710099.95000090934980.049999090650175
48100.0499.99999772692520.0400022730747764
49100.51100.0399981814040.470001818596245
50100.29100.509978632626-0.219978632625825
51100.22100.29001000074-0.070010000739515
52101.29100.2200031828171.06999681718278
53100.29101.28995135546-0.999951355459785
54100.26100.290045460111-0.0300454601108555
55100.39100.2600013659360.129998634063597
5699.3100.38999408996-1.0899940899602
5798.999.3000495536627-0.400049553662654
5898.7698.9000181871818-0.140018187181767
5999.1298.7600063655520.359993634448045
6099.2899.11998363385340.16001636614665

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 90.93 & 90.65 & 0.280000000000001 \tabularnewline
3 & 91.42 & 90.9299872705498 & 0.490012729450243 \tabularnewline
4 & 91.52 & 91.4199777228833 & 0.100022277116651 \tabularnewline
5 & 91.76 & 91.519995452755 & 0.240004547245007 \tabularnewline
6 & 91.47 & 91.7599890888359 & -0.28998908883591 \tabularnewline
7 & 91.37 & 91.4700131835774 & -0.100013183577431 \tabularnewline
8 & 91.35 & 91.3700045468316 & -0.0200045468316006 \tabularnewline
9 & 91.74 & 91.3500009094532 & 0.389999090546837 \tabularnewline
10 & 91.78 & 91.7399822697356 & 0.0400177302643669 \tabularnewline
11 & 91.88 & 91.7799981807011 & 0.100001819298939 \tabularnewline
12 & 91.99 & 91.879995453685 & 0.110004546314954 \tabularnewline
13 & 92.55 & 91.9899949989378 & 0.560005001062152 \tabularnewline
14 & 92.94 & 92.5499745408721 & 0.39002545912787 \tabularnewline
15 & 92.81 & 92.9399822685369 & -0.12998226853685 \tabularnewline
16 & 93.35 & 92.8100059092958 & 0.539994090704198 \tabularnewline
17 & 93.72 & 93.3499754506146 & 0.37002454938542 \tabularnewline
18 & 93.94 & 93.7199831778247 & 0.220016822175339 \tabularnewline
19 & 94.03 & 93.9399899975243 & 0.0900100024756938 \tabularnewline
20 & 93.66 & 94.0299959079363 & -0.369995907936257 \tabularnewline
21 & 93.78 & 93.6600168208732 & 0.119983179126763 \tabularnewline
22 & 94.1 & 93.779994545286 & 0.32000545471395 \tabularnewline
23 & 94.85 & 94.0999854518089 & 0.750014548191132 \tabularnewline
24 & 94.83 & 94.8499659025968 & -0.0199659025968515 \tabularnewline
25 & 95.06 & 94.8300009076963 & 0.229999092303714 \tabularnewline
26 & 95.87 & 95.0599895437071 & 0.810010456292886 \tabularnewline
27 & 95.97 & 95.8699631750435 & 0.100036824956462 \tabularnewline
28 & 95.96 & 95.9699954520936 & -0.00999545209361941 \tabularnewline
29 & 96.3 & 95.9600004544164 & 0.339999545583552 \tabularnewline
30 & 96.17 & 96.2999845428311 & -0.129984542831053 \tabularnewline
31 & 96.18 & 96.1700059093992 & 0.00999409060081291 \tabularnewline
32 & 96.55 & 96.1799995456454 & 0.370000454354553 \tabularnewline
33 & 96.76 & 96.5499831789201 & 0.210016821079932 \tabularnewline
34 & 97.63 & 96.7599904521476 & 0.870009547852405 \tabularnewline
35 & 97.86 & 97.6299604473455 & 0.230039552654517 \tabularnewline
36 & 97.82 & 97.8599895418677 & -0.0399895418677119 \tabularnewline
37 & 98.62 & 97.8200018180174 & 0.799998181982573 \tabularnewline
38 & 99.24 & 98.6199636302248 & 0.620036369775221 \tabularnewline
39 & 99.63 & 99.2399718117067 & 0.390028188293314 \tabularnewline
40 & 100.27 & 99.6299822684128 & 0.640017731587221 \tabularnewline
41 & 100.84 & 100.269970903308 & 0.570029096692437 \tabularnewline
42 & 101.05 & 100.839974085153 & 0.210025914846526 \tabularnewline
43 & 100.38 & 101.049990451734 & -0.669990451734151 \tabularnewline
44 & 100.02 & 100.380030459322 & -0.360030459321891 \tabularnewline
45 & 99.97 & 100.020016367821 & -0.0500163678207883 \tabularnewline
46 & 99.95 & 99.9700022738602 & -0.0200022738602428 \tabularnewline
47 & 100 & 99.9500009093498 & 0.049999090650175 \tabularnewline
48 & 100.04 & 99.9999977269252 & 0.0400022730747764 \tabularnewline
49 & 100.51 & 100.039998181404 & 0.470001818596245 \tabularnewline
50 & 100.29 & 100.509978632626 & -0.219978632625825 \tabularnewline
51 & 100.22 & 100.29001000074 & -0.070010000739515 \tabularnewline
52 & 101.29 & 100.220003182817 & 1.06999681718278 \tabularnewline
53 & 100.29 & 101.28995135546 & -0.999951355459785 \tabularnewline
54 & 100.26 & 100.290045460111 & -0.0300454601108555 \tabularnewline
55 & 100.39 & 100.260001365936 & 0.129998634063597 \tabularnewline
56 & 99.3 & 100.38999408996 & -1.0899940899602 \tabularnewline
57 & 98.9 & 99.3000495536627 & -0.400049553662654 \tabularnewline
58 & 98.76 & 98.9000181871818 & -0.140018187181767 \tabularnewline
59 & 99.12 & 98.760006365552 & 0.359993634448045 \tabularnewline
60 & 99.28 & 99.1199836338534 & 0.16001636614665 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284507&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]90.93[/C][C]90.65[/C][C]0.280000000000001[/C][/ROW]
[ROW][C]3[/C][C]91.42[/C][C]90.9299872705498[/C][C]0.490012729450243[/C][/ROW]
[ROW][C]4[/C][C]91.52[/C][C]91.4199777228833[/C][C]0.100022277116651[/C][/ROW]
[ROW][C]5[/C][C]91.76[/C][C]91.519995452755[/C][C]0.240004547245007[/C][/ROW]
[ROW][C]6[/C][C]91.47[/C][C]91.7599890888359[/C][C]-0.28998908883591[/C][/ROW]
[ROW][C]7[/C][C]91.37[/C][C]91.4700131835774[/C][C]-0.100013183577431[/C][/ROW]
[ROW][C]8[/C][C]91.35[/C][C]91.3700045468316[/C][C]-0.0200045468316006[/C][/ROW]
[ROW][C]9[/C][C]91.74[/C][C]91.3500009094532[/C][C]0.389999090546837[/C][/ROW]
[ROW][C]10[/C][C]91.78[/C][C]91.7399822697356[/C][C]0.0400177302643669[/C][/ROW]
[ROW][C]11[/C][C]91.88[/C][C]91.7799981807011[/C][C]0.100001819298939[/C][/ROW]
[ROW][C]12[/C][C]91.99[/C][C]91.879995453685[/C][C]0.110004546314954[/C][/ROW]
[ROW][C]13[/C][C]92.55[/C][C]91.9899949989378[/C][C]0.560005001062152[/C][/ROW]
[ROW][C]14[/C][C]92.94[/C][C]92.5499745408721[/C][C]0.39002545912787[/C][/ROW]
[ROW][C]15[/C][C]92.81[/C][C]92.9399822685369[/C][C]-0.12998226853685[/C][/ROW]
[ROW][C]16[/C][C]93.35[/C][C]92.8100059092958[/C][C]0.539994090704198[/C][/ROW]
[ROW][C]17[/C][C]93.72[/C][C]93.3499754506146[/C][C]0.37002454938542[/C][/ROW]
[ROW][C]18[/C][C]93.94[/C][C]93.7199831778247[/C][C]0.220016822175339[/C][/ROW]
[ROW][C]19[/C][C]94.03[/C][C]93.9399899975243[/C][C]0.0900100024756938[/C][/ROW]
[ROW][C]20[/C][C]93.66[/C][C]94.0299959079363[/C][C]-0.369995907936257[/C][/ROW]
[ROW][C]21[/C][C]93.78[/C][C]93.6600168208732[/C][C]0.119983179126763[/C][/ROW]
[ROW][C]22[/C][C]94.1[/C][C]93.779994545286[/C][C]0.32000545471395[/C][/ROW]
[ROW][C]23[/C][C]94.85[/C][C]94.0999854518089[/C][C]0.750014548191132[/C][/ROW]
[ROW][C]24[/C][C]94.83[/C][C]94.8499659025968[/C][C]-0.0199659025968515[/C][/ROW]
[ROW][C]25[/C][C]95.06[/C][C]94.8300009076963[/C][C]0.229999092303714[/C][/ROW]
[ROW][C]26[/C][C]95.87[/C][C]95.0599895437071[/C][C]0.810010456292886[/C][/ROW]
[ROW][C]27[/C][C]95.97[/C][C]95.8699631750435[/C][C]0.100036824956462[/C][/ROW]
[ROW][C]28[/C][C]95.96[/C][C]95.9699954520936[/C][C]-0.00999545209361941[/C][/ROW]
[ROW][C]29[/C][C]96.3[/C][C]95.9600004544164[/C][C]0.339999545583552[/C][/ROW]
[ROW][C]30[/C][C]96.17[/C][C]96.2999845428311[/C][C]-0.129984542831053[/C][/ROW]
[ROW][C]31[/C][C]96.18[/C][C]96.1700059093992[/C][C]0.00999409060081291[/C][/ROW]
[ROW][C]32[/C][C]96.55[/C][C]96.1799995456454[/C][C]0.370000454354553[/C][/ROW]
[ROW][C]33[/C][C]96.76[/C][C]96.5499831789201[/C][C]0.210016821079932[/C][/ROW]
[ROW][C]34[/C][C]97.63[/C][C]96.7599904521476[/C][C]0.870009547852405[/C][/ROW]
[ROW][C]35[/C][C]97.86[/C][C]97.6299604473455[/C][C]0.230039552654517[/C][/ROW]
[ROW][C]36[/C][C]97.82[/C][C]97.8599895418677[/C][C]-0.0399895418677119[/C][/ROW]
[ROW][C]37[/C][C]98.62[/C][C]97.8200018180174[/C][C]0.799998181982573[/C][/ROW]
[ROW][C]38[/C][C]99.24[/C][C]98.6199636302248[/C][C]0.620036369775221[/C][/ROW]
[ROW][C]39[/C][C]99.63[/C][C]99.2399718117067[/C][C]0.390028188293314[/C][/ROW]
[ROW][C]40[/C][C]100.27[/C][C]99.6299822684128[/C][C]0.640017731587221[/C][/ROW]
[ROW][C]41[/C][C]100.84[/C][C]100.269970903308[/C][C]0.570029096692437[/C][/ROW]
[ROW][C]42[/C][C]101.05[/C][C]100.839974085153[/C][C]0.210025914846526[/C][/ROW]
[ROW][C]43[/C][C]100.38[/C][C]101.049990451734[/C][C]-0.669990451734151[/C][/ROW]
[ROW][C]44[/C][C]100.02[/C][C]100.380030459322[/C][C]-0.360030459321891[/C][/ROW]
[ROW][C]45[/C][C]99.97[/C][C]100.020016367821[/C][C]-0.0500163678207883[/C][/ROW]
[ROW][C]46[/C][C]99.95[/C][C]99.9700022738602[/C][C]-0.0200022738602428[/C][/ROW]
[ROW][C]47[/C][C]100[/C][C]99.9500009093498[/C][C]0.049999090650175[/C][/ROW]
[ROW][C]48[/C][C]100.04[/C][C]99.9999977269252[/C][C]0.0400022730747764[/C][/ROW]
[ROW][C]49[/C][C]100.51[/C][C]100.039998181404[/C][C]0.470001818596245[/C][/ROW]
[ROW][C]50[/C][C]100.29[/C][C]100.509978632626[/C][C]-0.219978632625825[/C][/ROW]
[ROW][C]51[/C][C]100.22[/C][C]100.29001000074[/C][C]-0.070010000739515[/C][/ROW]
[ROW][C]52[/C][C]101.29[/C][C]100.220003182817[/C][C]1.06999681718278[/C][/ROW]
[ROW][C]53[/C][C]100.29[/C][C]101.28995135546[/C][C]-0.999951355459785[/C][/ROW]
[ROW][C]54[/C][C]100.26[/C][C]100.290045460111[/C][C]-0.0300454601108555[/C][/ROW]
[ROW][C]55[/C][C]100.39[/C][C]100.260001365936[/C][C]0.129998634063597[/C][/ROW]
[ROW][C]56[/C][C]99.3[/C][C]100.38999408996[/C][C]-1.0899940899602[/C][/ROW]
[ROW][C]57[/C][C]98.9[/C][C]99.3000495536627[/C][C]-0.400049553662654[/C][/ROW]
[ROW][C]58[/C][C]98.76[/C][C]98.9000181871818[/C][C]-0.140018187181767[/C][/ROW]
[ROW][C]59[/C][C]99.12[/C][C]98.760006365552[/C][C]0.359993634448045[/C][/ROW]
[ROW][C]60[/C][C]99.28[/C][C]99.1199836338534[/C][C]0.16001636614665[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284507&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284507&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
290.9390.650.280000000000001
391.4290.92998727054980.490012729450243
491.5291.41997772288330.100022277116651
591.7691.5199954527550.240004547245007
691.4791.7599890888359-0.28998908883591
791.3791.4700131835774-0.100013183577431
891.3591.3700045468316-0.0200045468316006
991.7491.35000090945320.389999090546837
1091.7891.73998226973560.0400177302643669
1191.8891.77999818070110.100001819298939
1291.9991.8799954536850.110004546314954
1392.5591.98999499893780.560005001062152
1492.9492.54997454087210.39002545912787
1592.8192.9399822685369-0.12998226853685
1693.3592.81000590929580.539994090704198
1793.7293.34997545061460.37002454938542
1893.9493.71998317782470.220016822175339
1994.0393.93998999752430.0900100024756938
2093.6694.0299959079363-0.369995907936257
2193.7893.66001682087320.119983179126763
2294.193.7799945452860.32000545471395
2394.8594.09998545180890.750014548191132
2494.8394.8499659025968-0.0199659025968515
2595.0694.83000090769630.229999092303714
2695.8795.05998954370710.810010456292886
2795.9795.86996317504350.100036824956462
2895.9695.9699954520936-0.00999545209361941
2996.395.96000045441640.339999545583552
3096.1796.2999845428311-0.129984542831053
3196.1896.17000590939920.00999409060081291
3296.5596.17999954564540.370000454354553
3396.7696.54998317892010.210016821079932
3497.6396.75999045214760.870009547852405
3597.8697.62996044734550.230039552654517
3697.8297.8599895418677-0.0399895418677119
3798.6297.82000181801740.799998181982573
3899.2498.61996363022480.620036369775221
3999.6399.23997181170670.390028188293314
40100.2799.62998226841280.640017731587221
41100.84100.2699709033080.570029096692437
42101.05100.8399740851530.210025914846526
43100.38101.049990451734-0.669990451734151
44100.02100.380030459322-0.360030459321891
4599.97100.020016367821-0.0500163678207883
4699.9599.9700022738602-0.0200022738602428
4710099.95000090934980.049999090650175
48100.0499.99999772692520.0400022730747764
49100.51100.0399981814040.470001818596245
50100.29100.509978632626-0.219978632625825
51100.22100.29001000074-0.070010000739515
52101.29100.2200031828171.06999681718278
53100.29101.28995135546-0.999951355459785
54100.26100.290045460111-0.0300454601108555
55100.39100.2600013659360.129998634063597
5699.3100.38999408996-1.0899940899602
5798.999.3000495536627-0.400049553662654
5898.7698.9000181871818-0.140018187181767
5999.1298.7600063655520.359993634448045
6099.2899.11998363385340.16001636614665







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6199.279992725284498.4858143933241100.074171057245
6299.279992725284498.1568804872188100.40310496335
6399.279992725284497.9044771944269100.655508256142
6499.279992725284497.6916902188431100.868295231726
6599.279992725284497.5042205754101.055764875169
6699.279992725284497.3347347463411101.225250704228
6799.279992725284497.1788762408933101.381109209676
6899.279992725284497.0338065448181101.526178905751
6999.279992725284496.8975540096707101.662431440898
7099.279992725284496.7686830848791101.79130236569
7199.279992725284496.6461100425648101.913875408004
7299.279992725284496.5289929319969102.030992518572

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 99.2799927252844 & 98.4858143933241 & 100.074171057245 \tabularnewline
62 & 99.2799927252844 & 98.1568804872188 & 100.40310496335 \tabularnewline
63 & 99.2799927252844 & 97.9044771944269 & 100.655508256142 \tabularnewline
64 & 99.2799927252844 & 97.6916902188431 & 100.868295231726 \tabularnewline
65 & 99.2799927252844 & 97.5042205754 & 101.055764875169 \tabularnewline
66 & 99.2799927252844 & 97.3347347463411 & 101.225250704228 \tabularnewline
67 & 99.2799927252844 & 97.1788762408933 & 101.381109209676 \tabularnewline
68 & 99.2799927252844 & 97.0338065448181 & 101.526178905751 \tabularnewline
69 & 99.2799927252844 & 96.8975540096707 & 101.662431440898 \tabularnewline
70 & 99.2799927252844 & 96.7686830848791 & 101.79130236569 \tabularnewline
71 & 99.2799927252844 & 96.6461100425648 & 101.913875408004 \tabularnewline
72 & 99.2799927252844 & 96.5289929319969 & 102.030992518572 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284507&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]99.2799927252844[/C][C]98.4858143933241[/C][C]100.074171057245[/C][/ROW]
[ROW][C]62[/C][C]99.2799927252844[/C][C]98.1568804872188[/C][C]100.40310496335[/C][/ROW]
[ROW][C]63[/C][C]99.2799927252844[/C][C]97.9044771944269[/C][C]100.655508256142[/C][/ROW]
[ROW][C]64[/C][C]99.2799927252844[/C][C]97.6916902188431[/C][C]100.868295231726[/C][/ROW]
[ROW][C]65[/C][C]99.2799927252844[/C][C]97.5042205754[/C][C]101.055764875169[/C][/ROW]
[ROW][C]66[/C][C]99.2799927252844[/C][C]97.3347347463411[/C][C]101.225250704228[/C][/ROW]
[ROW][C]67[/C][C]99.2799927252844[/C][C]97.1788762408933[/C][C]101.381109209676[/C][/ROW]
[ROW][C]68[/C][C]99.2799927252844[/C][C]97.0338065448181[/C][C]101.526178905751[/C][/ROW]
[ROW][C]69[/C][C]99.2799927252844[/C][C]96.8975540096707[/C][C]101.662431440898[/C][/ROW]
[ROW][C]70[/C][C]99.2799927252844[/C][C]96.7686830848791[/C][C]101.79130236569[/C][/ROW]
[ROW][C]71[/C][C]99.2799927252844[/C][C]96.6461100425648[/C][C]101.913875408004[/C][/ROW]
[ROW][C]72[/C][C]99.2799927252844[/C][C]96.5289929319969[/C][C]102.030992518572[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284507&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284507&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
6199.279992725284498.4858143933241100.074171057245
6299.279992725284498.1568804872188100.40310496335
6399.279992725284497.9044771944269100.655508256142
6499.279992725284497.6916902188431100.868295231726
6599.279992725284497.5042205754101.055764875169
6699.279992725284497.3347347463411101.225250704228
6799.279992725284497.1788762408933101.381109209676
6899.279992725284497.0338065448181101.526178905751
6999.279992725284496.8975540096707101.662431440898
7099.279992725284496.7686830848791101.79130236569
7199.279992725284496.6461100425648101.913875408004
7299.279992725284496.5289929319969102.030992518572



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')