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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 computationMon, 01 May 2017 14:35:12 +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/2017/May/01/t149364573186zh3nk2s5jsl19.htm/, Retrieved Wed, 15 May 2024 20:32:07 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Wed, 15 May 2024 20:32:07 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
101.68
101.25
101.24
101.11
101.08
101.09
101.09
101.62
101.66
101.96
102.04
102.02
102.02
101.51
101.62
101.83
102.06
102.14
102.14
102.59
102.92
103.31
103.54
103.58
103.58
102.83
102.86
103.03
103.2
103.28
103.28
103.79
103.92
104.26
104.41
104.45
99.92
99.18
99.18
99.35
99.62
99.67
99.72
100.08
100.39
100.77
101.03
101.07
101.29
101.1
101.2
101.15
101.24
101.16
100.81
101.02
101.15
101.06
101.17
101.22
101.84
101.79
101.88
101.9
101.91
101.96
101.26
101.06
100.98
101.12
101.24
101.25




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

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.00312568142278548
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.00312568142278548 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.00312568142278548[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
beta0.00312568142278548
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13102.02101.6264797008550.393520299145308
14101.51101.5076781542870.0023218457133396
15101.62101.6089354116370.0110645883633254
16101.83101.8031366626820.0268633373183462
17102.06102.0232206289160.0367793710839521
18102.14102.0945855895130.0454144104870124
19102.14102.0447275404920.0952724595078251
20102.59102.727525331849-0.137525331848948
21102.92102.6854288048070.234571195192643
22103.31103.2569953329680.0530046670321696
23103.54103.4021610086710.137838991329076
24103.58103.5188418494450.0611581505545757
25103.58103.5761163436740.00388365632619525
26102.83103.06946181608-0.239461816079583
27102.86102.92996333473-0.0699633347295787
28103.03103.043911318301-0.0139113183006145
29103.2103.223867835951-0.0238678359514353
30103.28103.23504323270.0449567672999933
31103.28103.1851837532320.0948162467676212
32103.79103.867980118613-0.0779801186134677
33103.92103.8860697109390.0339302890612885
34104.26104.2570090995460.00299090045376715
35104.41104.3520184481480.0579815518517535
36104.45104.3884496800080.0615503199923211
3799.92104.445725400033-4.5257254000328
3899.1899.3949127575586-0.214912757558636
3999.1899.2654910087448-0.0854910087448104
4099.3599.34939045775360.00060954224635168
4199.6299.52939236298850.0906076370115017
4299.6799.64092557359630.0290744264037244
4399.7299.56101645099080.158983549009236
44100.08100.294013382916-0.21401338291642
45100.39100.1616777785950.228322221405463
46100.77100.7132247744540.0567752255462608
47101.03100.8484022357220.181597764278479
48101.07100.995219852480.0747801475202863
49101.29101.0525369247310.237463075269062
50101.1100.7666124919870.33338750801272
51101.2101.1889045551280.0110954448723675
52101.15101.37310590262-0.223105902620233
53101.24101.332408544645-0.092408544645096
54101.16101.263369704974-0.103369704973787
55100.81101.053046604207-0.243046604207265
56101.02101.384786917952-0.364786917951633
57101.15101.1019800435920.0480199564077708
58101.06101.472963472011-0.412963472011242
59101.17101.1366726797590.033327320241483
60101.22101.1330268503440.0869731496557762
61101.84101.2003820340360.639617965964277
62101.79101.3157146093630.474285390637021
63101.88101.8784470743980.00155292560241094
64101.9102.052618595015-0.152618595014943
65101.91102.082141557908-0.17214155790775
66101.96101.9328534982380.0271465017618908
67101.26101.852938349554-0.592938349554345
68101.06101.83358501317-0.77358501317029
69100.98101.139500366199-0.159500366198998
70101.12101.299835152201-0.179835152200781
71101.24101.1942730448060.0457269551935724
72101.25101.2006659727010.0493340272992668

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 102.02 & 101.626479700855 & 0.393520299145308 \tabularnewline
14 & 101.51 & 101.507678154287 & 0.0023218457133396 \tabularnewline
15 & 101.62 & 101.608935411637 & 0.0110645883633254 \tabularnewline
16 & 101.83 & 101.803136662682 & 0.0268633373183462 \tabularnewline
17 & 102.06 & 102.023220628916 & 0.0367793710839521 \tabularnewline
18 & 102.14 & 102.094585589513 & 0.0454144104870124 \tabularnewline
19 & 102.14 & 102.044727540492 & 0.0952724595078251 \tabularnewline
20 & 102.59 & 102.727525331849 & -0.137525331848948 \tabularnewline
21 & 102.92 & 102.685428804807 & 0.234571195192643 \tabularnewline
22 & 103.31 & 103.256995332968 & 0.0530046670321696 \tabularnewline
23 & 103.54 & 103.402161008671 & 0.137838991329076 \tabularnewline
24 & 103.58 & 103.518841849445 & 0.0611581505545757 \tabularnewline
25 & 103.58 & 103.576116343674 & 0.00388365632619525 \tabularnewline
26 & 102.83 & 103.06946181608 & -0.239461816079583 \tabularnewline
27 & 102.86 & 102.92996333473 & -0.0699633347295787 \tabularnewline
28 & 103.03 & 103.043911318301 & -0.0139113183006145 \tabularnewline
29 & 103.2 & 103.223867835951 & -0.0238678359514353 \tabularnewline
30 & 103.28 & 103.2350432327 & 0.0449567672999933 \tabularnewline
31 & 103.28 & 103.185183753232 & 0.0948162467676212 \tabularnewline
32 & 103.79 & 103.867980118613 & -0.0779801186134677 \tabularnewline
33 & 103.92 & 103.886069710939 & 0.0339302890612885 \tabularnewline
34 & 104.26 & 104.257009099546 & 0.00299090045376715 \tabularnewline
35 & 104.41 & 104.352018448148 & 0.0579815518517535 \tabularnewline
36 & 104.45 & 104.388449680008 & 0.0615503199923211 \tabularnewline
37 & 99.92 & 104.445725400033 & -4.5257254000328 \tabularnewline
38 & 99.18 & 99.3949127575586 & -0.214912757558636 \tabularnewline
39 & 99.18 & 99.2654910087448 & -0.0854910087448104 \tabularnewline
40 & 99.35 & 99.3493904577536 & 0.00060954224635168 \tabularnewline
41 & 99.62 & 99.5293923629885 & 0.0906076370115017 \tabularnewline
42 & 99.67 & 99.6409255735963 & 0.0290744264037244 \tabularnewline
43 & 99.72 & 99.5610164509908 & 0.158983549009236 \tabularnewline
44 & 100.08 & 100.294013382916 & -0.21401338291642 \tabularnewline
45 & 100.39 & 100.161677778595 & 0.228322221405463 \tabularnewline
46 & 100.77 & 100.713224774454 & 0.0567752255462608 \tabularnewline
47 & 101.03 & 100.848402235722 & 0.181597764278479 \tabularnewline
48 & 101.07 & 100.99521985248 & 0.0747801475202863 \tabularnewline
49 & 101.29 & 101.052536924731 & 0.237463075269062 \tabularnewline
50 & 101.1 & 100.766612491987 & 0.33338750801272 \tabularnewline
51 & 101.2 & 101.188904555128 & 0.0110954448723675 \tabularnewline
52 & 101.15 & 101.37310590262 & -0.223105902620233 \tabularnewline
53 & 101.24 & 101.332408544645 & -0.092408544645096 \tabularnewline
54 & 101.16 & 101.263369704974 & -0.103369704973787 \tabularnewline
55 & 100.81 & 101.053046604207 & -0.243046604207265 \tabularnewline
56 & 101.02 & 101.384786917952 & -0.364786917951633 \tabularnewline
57 & 101.15 & 101.101980043592 & 0.0480199564077708 \tabularnewline
58 & 101.06 & 101.472963472011 & -0.412963472011242 \tabularnewline
59 & 101.17 & 101.136672679759 & 0.033327320241483 \tabularnewline
60 & 101.22 & 101.133026850344 & 0.0869731496557762 \tabularnewline
61 & 101.84 & 101.200382034036 & 0.639617965964277 \tabularnewline
62 & 101.79 & 101.315714609363 & 0.474285390637021 \tabularnewline
63 & 101.88 & 101.878447074398 & 0.00155292560241094 \tabularnewline
64 & 101.9 & 102.052618595015 & -0.152618595014943 \tabularnewline
65 & 101.91 & 102.082141557908 & -0.17214155790775 \tabularnewline
66 & 101.96 & 101.932853498238 & 0.0271465017618908 \tabularnewline
67 & 101.26 & 101.852938349554 & -0.592938349554345 \tabularnewline
68 & 101.06 & 101.83358501317 & -0.77358501317029 \tabularnewline
69 & 100.98 & 101.139500366199 & -0.159500366198998 \tabularnewline
70 & 101.12 & 101.299835152201 & -0.179835152200781 \tabularnewline
71 & 101.24 & 101.194273044806 & 0.0457269551935724 \tabularnewline
72 & 101.25 & 101.200665972701 & 0.0493340272992668 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]13[/C][C]102.02[/C][C]101.626479700855[/C][C]0.393520299145308[/C][/ROW]
[ROW][C]14[/C][C]101.51[/C][C]101.507678154287[/C][C]0.0023218457133396[/C][/ROW]
[ROW][C]15[/C][C]101.62[/C][C]101.608935411637[/C][C]0.0110645883633254[/C][/ROW]
[ROW][C]16[/C][C]101.83[/C][C]101.803136662682[/C][C]0.0268633373183462[/C][/ROW]
[ROW][C]17[/C][C]102.06[/C][C]102.023220628916[/C][C]0.0367793710839521[/C][/ROW]
[ROW][C]18[/C][C]102.14[/C][C]102.094585589513[/C][C]0.0454144104870124[/C][/ROW]
[ROW][C]19[/C][C]102.14[/C][C]102.044727540492[/C][C]0.0952724595078251[/C][/ROW]
[ROW][C]20[/C][C]102.59[/C][C]102.727525331849[/C][C]-0.137525331848948[/C][/ROW]
[ROW][C]21[/C][C]102.92[/C][C]102.685428804807[/C][C]0.234571195192643[/C][/ROW]
[ROW][C]22[/C][C]103.31[/C][C]103.256995332968[/C][C]0.0530046670321696[/C][/ROW]
[ROW][C]23[/C][C]103.54[/C][C]103.402161008671[/C][C]0.137838991329076[/C][/ROW]
[ROW][C]24[/C][C]103.58[/C][C]103.518841849445[/C][C]0.0611581505545757[/C][/ROW]
[ROW][C]25[/C][C]103.58[/C][C]103.576116343674[/C][C]0.00388365632619525[/C][/ROW]
[ROW][C]26[/C][C]102.83[/C][C]103.06946181608[/C][C]-0.239461816079583[/C][/ROW]
[ROW][C]27[/C][C]102.86[/C][C]102.92996333473[/C][C]-0.0699633347295787[/C][/ROW]
[ROW][C]28[/C][C]103.03[/C][C]103.043911318301[/C][C]-0.0139113183006145[/C][/ROW]
[ROW][C]29[/C][C]103.2[/C][C]103.223867835951[/C][C]-0.0238678359514353[/C][/ROW]
[ROW][C]30[/C][C]103.28[/C][C]103.2350432327[/C][C]0.0449567672999933[/C][/ROW]
[ROW][C]31[/C][C]103.28[/C][C]103.185183753232[/C][C]0.0948162467676212[/C][/ROW]
[ROW][C]32[/C][C]103.79[/C][C]103.867980118613[/C][C]-0.0779801186134677[/C][/ROW]
[ROW][C]33[/C][C]103.92[/C][C]103.886069710939[/C][C]0.0339302890612885[/C][/ROW]
[ROW][C]34[/C][C]104.26[/C][C]104.257009099546[/C][C]0.00299090045376715[/C][/ROW]
[ROW][C]35[/C][C]104.41[/C][C]104.352018448148[/C][C]0.0579815518517535[/C][/ROW]
[ROW][C]36[/C][C]104.45[/C][C]104.388449680008[/C][C]0.0615503199923211[/C][/ROW]
[ROW][C]37[/C][C]99.92[/C][C]104.445725400033[/C][C]-4.5257254000328[/C][/ROW]
[ROW][C]38[/C][C]99.18[/C][C]99.3949127575586[/C][C]-0.214912757558636[/C][/ROW]
[ROW][C]39[/C][C]99.18[/C][C]99.2654910087448[/C][C]-0.0854910087448104[/C][/ROW]
[ROW][C]40[/C][C]99.35[/C][C]99.3493904577536[/C][C]0.00060954224635168[/C][/ROW]
[ROW][C]41[/C][C]99.62[/C][C]99.5293923629885[/C][C]0.0906076370115017[/C][/ROW]
[ROW][C]42[/C][C]99.67[/C][C]99.6409255735963[/C][C]0.0290744264037244[/C][/ROW]
[ROW][C]43[/C][C]99.72[/C][C]99.5610164509908[/C][C]0.158983549009236[/C][/ROW]
[ROW][C]44[/C][C]100.08[/C][C]100.294013382916[/C][C]-0.21401338291642[/C][/ROW]
[ROW][C]45[/C][C]100.39[/C][C]100.161677778595[/C][C]0.228322221405463[/C][/ROW]
[ROW][C]46[/C][C]100.77[/C][C]100.713224774454[/C][C]0.0567752255462608[/C][/ROW]
[ROW][C]47[/C][C]101.03[/C][C]100.848402235722[/C][C]0.181597764278479[/C][/ROW]
[ROW][C]48[/C][C]101.07[/C][C]100.99521985248[/C][C]0.0747801475202863[/C][/ROW]
[ROW][C]49[/C][C]101.29[/C][C]101.052536924731[/C][C]0.237463075269062[/C][/ROW]
[ROW][C]50[/C][C]101.1[/C][C]100.766612491987[/C][C]0.33338750801272[/C][/ROW]
[ROW][C]51[/C][C]101.2[/C][C]101.188904555128[/C][C]0.0110954448723675[/C][/ROW]
[ROW][C]52[/C][C]101.15[/C][C]101.37310590262[/C][C]-0.223105902620233[/C][/ROW]
[ROW][C]53[/C][C]101.24[/C][C]101.332408544645[/C][C]-0.092408544645096[/C][/ROW]
[ROW][C]54[/C][C]101.16[/C][C]101.263369704974[/C][C]-0.103369704973787[/C][/ROW]
[ROW][C]55[/C][C]100.81[/C][C]101.053046604207[/C][C]-0.243046604207265[/C][/ROW]
[ROW][C]56[/C][C]101.02[/C][C]101.384786917952[/C][C]-0.364786917951633[/C][/ROW]
[ROW][C]57[/C][C]101.15[/C][C]101.101980043592[/C][C]0.0480199564077708[/C][/ROW]
[ROW][C]58[/C][C]101.06[/C][C]101.472963472011[/C][C]-0.412963472011242[/C][/ROW]
[ROW][C]59[/C][C]101.17[/C][C]101.136672679759[/C][C]0.033327320241483[/C][/ROW]
[ROW][C]60[/C][C]101.22[/C][C]101.133026850344[/C][C]0.0869731496557762[/C][/ROW]
[ROW][C]61[/C][C]101.84[/C][C]101.200382034036[/C][C]0.639617965964277[/C][/ROW]
[ROW][C]62[/C][C]101.79[/C][C]101.315714609363[/C][C]0.474285390637021[/C][/ROW]
[ROW][C]63[/C][C]101.88[/C][C]101.878447074398[/C][C]0.00155292560241094[/C][/ROW]
[ROW][C]64[/C][C]101.9[/C][C]102.052618595015[/C][C]-0.152618595014943[/C][/ROW]
[ROW][C]65[/C][C]101.91[/C][C]102.082141557908[/C][C]-0.17214155790775[/C][/ROW]
[ROW][C]66[/C][C]101.96[/C][C]101.932853498238[/C][C]0.0271465017618908[/C][/ROW]
[ROW][C]67[/C][C]101.26[/C][C]101.852938349554[/C][C]-0.592938349554345[/C][/ROW]
[ROW][C]68[/C][C]101.06[/C][C]101.83358501317[/C][C]-0.77358501317029[/C][/ROW]
[ROW][C]69[/C][C]100.98[/C][C]101.139500366199[/C][C]-0.159500366198998[/C][/ROW]
[ROW][C]70[/C][C]101.12[/C][C]101.299835152201[/C][C]-0.179835152200781[/C][/ROW]
[ROW][C]71[/C][C]101.24[/C][C]101.194273044806[/C][C]0.0457269551935724[/C][/ROW]
[ROW][C]72[/C][C]101.25[/C][C]101.200665972701[/C][C]0.0493340272992668[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
13102.02101.6264797008550.393520299145308
14101.51101.5076781542870.0023218457133396
15101.62101.6089354116370.0110645883633254
16101.83101.8031366626820.0268633373183462
17102.06102.0232206289160.0367793710839521
18102.14102.0945855895130.0454144104870124
19102.14102.0447275404920.0952724595078251
20102.59102.727525331849-0.137525331848948
21102.92102.6854288048070.234571195192643
22103.31103.2569953329680.0530046670321696
23103.54103.4021610086710.137838991329076
24103.58103.5188418494450.0611581505545757
25103.58103.5761163436740.00388365632619525
26102.83103.06946181608-0.239461816079583
27102.86102.92996333473-0.0699633347295787
28103.03103.043911318301-0.0139113183006145
29103.2103.223867835951-0.0238678359514353
30103.28103.23504323270.0449567672999933
31103.28103.1851837532320.0948162467676212
32103.79103.867980118613-0.0779801186134677
33103.92103.8860697109390.0339302890612885
34104.26104.2570090995460.00299090045376715
35104.41104.3520184481480.0579815518517535
36104.45104.3884496800080.0615503199923211
3799.92104.445725400033-4.5257254000328
3899.1899.3949127575586-0.214912757558636
3999.1899.2654910087448-0.0854910087448104
4099.3599.34939045775360.00060954224635168
4199.6299.52939236298850.0906076370115017
4299.6799.64092557359630.0290744264037244
4399.7299.56101645099080.158983549009236
44100.08100.294013382916-0.21401338291642
45100.39100.1616777785950.228322221405463
46100.77100.7132247744540.0567752255462608
47101.03100.8484022357220.181597764278479
48101.07100.995219852480.0747801475202863
49101.29101.0525369247310.237463075269062
50101.1100.7666124919870.33338750801272
51101.2101.1889045551280.0110954448723675
52101.15101.37310590262-0.223105902620233
53101.24101.332408544645-0.092408544645096
54101.16101.263369704974-0.103369704973787
55100.81101.053046604207-0.243046604207265
56101.02101.384786917952-0.364786917951633
57101.15101.1019800435920.0480199564077708
58101.06101.472963472011-0.412963472011242
59101.17101.1366726797590.033327320241483
60101.22101.1330268503440.0869731496557762
61101.84101.2003820340360.639617965964277
62101.79101.3157146093630.474285390637021
63101.88101.8784470743980.00155292560241094
64101.9102.052618595015-0.152618595014943
65101.91102.082141557908-0.17214155790775
66101.96101.9328534982380.0271465017618908
67101.26101.852938349554-0.592938349554345
68101.06101.83358501317-0.77358501317029
69100.98101.139500366199-0.159500366198998
70101.12101.299835152201-0.179835152200781
71101.24101.1942730448060.0457269551935724
72101.25101.2006659727010.0493340272992668







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73101.227903508487100.004665071297102.451141945676
74100.69914035030798.9665142630651102.431766437549
75100.78162719212798.6562867748024102.906967609451
76100.94828070061498.4903185963937103.406242804834
77101.124934209198.3725643493993103.877304068801
78101.14283771758798.1230715770493104.162603858125
79101.03074122607497.7639461544144104.297536297733
80101.60114473456198.1033659290573105.098923540064
81101.67988157638197.9641667895379105.395596363223
82101.99945175153498.0766697422177105.92223376085
83102.07402192668797.9533990664652106.19464478691
84102.03484210184197.7243307858287106.345353417853

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 101.227903508487 & 100.004665071297 & 102.451141945676 \tabularnewline
74 & 100.699140350307 & 98.9665142630651 & 102.431766437549 \tabularnewline
75 & 100.781627192127 & 98.6562867748024 & 102.906967609451 \tabularnewline
76 & 100.948280700614 & 98.4903185963937 & 103.406242804834 \tabularnewline
77 & 101.1249342091 & 98.3725643493993 & 103.877304068801 \tabularnewline
78 & 101.142837717587 & 98.1230715770493 & 104.162603858125 \tabularnewline
79 & 101.030741226074 & 97.7639461544144 & 104.297536297733 \tabularnewline
80 & 101.601144734561 & 98.1033659290573 & 105.098923540064 \tabularnewline
81 & 101.679881576381 & 97.9641667895379 & 105.395596363223 \tabularnewline
82 & 101.999451751534 & 98.0766697422177 & 105.92223376085 \tabularnewline
83 & 102.074021926687 & 97.9533990664652 & 106.19464478691 \tabularnewline
84 & 102.034842101841 & 97.7243307858287 & 106.345353417853 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]73[/C][C]101.227903508487[/C][C]100.004665071297[/C][C]102.451141945676[/C][/ROW]
[ROW][C]74[/C][C]100.699140350307[/C][C]98.9665142630651[/C][C]102.431766437549[/C][/ROW]
[ROW][C]75[/C][C]100.781627192127[/C][C]98.6562867748024[/C][C]102.906967609451[/C][/ROW]
[ROW][C]76[/C][C]100.948280700614[/C][C]98.4903185963937[/C][C]103.406242804834[/C][/ROW]
[ROW][C]77[/C][C]101.1249342091[/C][C]98.3725643493993[/C][C]103.877304068801[/C][/ROW]
[ROW][C]78[/C][C]101.142837717587[/C][C]98.1230715770493[/C][C]104.162603858125[/C][/ROW]
[ROW][C]79[/C][C]101.030741226074[/C][C]97.7639461544144[/C][C]104.297536297733[/C][/ROW]
[ROW][C]80[/C][C]101.601144734561[/C][C]98.1033659290573[/C][C]105.098923540064[/C][/ROW]
[ROW][C]81[/C][C]101.679881576381[/C][C]97.9641667895379[/C][C]105.395596363223[/C][/ROW]
[ROW][C]82[/C][C]101.999451751534[/C][C]98.0766697422177[/C][C]105.92223376085[/C][/ROW]
[ROW][C]83[/C][C]102.074021926687[/C][C]97.9533990664652[/C][C]106.19464478691[/C][/ROW]
[ROW][C]84[/C][C]102.034842101841[/C][C]97.7243307858287[/C][C]106.345353417853[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
73101.227903508487100.004665071297102.451141945676
74100.69914035030798.9665142630651102.431766437549
75100.78162719212798.6562867748024102.906967609451
76100.94828070061498.4903185963937103.406242804834
77101.124934209198.3725643493993103.877304068801
78101.14283771758798.1230715770493104.162603858125
79101.03074122607497.7639461544144104.297536297733
80101.60114473456198.1033659290573105.098923540064
81101.67988157638197.9641667895379105.395596363223
82101.99945175153498.0766697422177105.92223376085
83102.07402192668797.9533990664652106.19464478691
84102.03484210184197.7243307858287106.345353417853



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