Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 05 Jan 2017 13:59:59 +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/2017/Jan/05/t1483624825dmyl6a8omu3npke.htm/, Retrieved Mon, 13 May 2024 23:04:49 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 13 May 2024 23:04:49 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
98,36
95,05
93,72
91,33
91,33
90,4
90,59
91,84
91,28
91,11
90,62
91,13
90,97
90,27
91,07
90,46
92,41
94,64
95,56
96,21
96,7
96,12
96,23
96,43
96,36
96,06
96,14
96,19
95,87
95,58
95,29
96,06
94,83
94,88
97,41
97,87
97,89
98,87
98,72
98,17
98,03
98,65
99,28
100,09
101,29
101,95
103,29
103,78
105,79
106,14
106,5
106,89
106,59
106,01
105,91
105,65
104,72
103,42
102,47
99,32
97,71
98,44
96,4
97,44
98,21
97,42
97,44
96,66
94,78
113,29
114,16
115,05




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.851255222580543
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.851255222580543 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \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]0.851255222580543[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/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
alpha0.851255222580543
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1390.9790.77789262820510.19210737179489
1490.2790.05639152358320.213608476416766
1591.0790.8344433465620.235556653438024
1690.4690.19451200318950.265487996810478
1792.4192.1321432055150.277856794484975
1894.6494.34822007812470.291779921875332
1995.5692.53031575230673.02968424769334
2096.2197.0705667827671-0.860566782767123
2196.796.29172130639870.408278693601261
2296.1296.82007050177-0.70007050177
2396.2395.92951498947190.300485010528135
2496.4396.6777709158326-0.247770915832589
2596.3696.1558127564930.204187243507036
2696.0695.44779288277540.6122071172246
2796.1496.5684185571611-0.428418557161109
2896.1995.36772697910990.822273020890066
2995.8797.7811641350949-1.91116413509486
3095.5898.1358965015462-2.55589650154623
3195.2994.30114171761070.988858282389302
3296.0696.5254744630965-0.465474463096456
3394.8396.2716875252113-1.44168752521131
3494.8895.0603821608523-0.180382160852261
3597.4194.76104146984722.64895853015284
3697.8797.42689753914510.443102460854917
3797.8997.56027536566640.329724634333573
3898.8797.01981067681791.85018932318209
3998.7299.0394875351732-0.319487535173238
4098.1798.11755789888790.0524421011121206
4198.0399.4690879625508-1.43908796255081
4298.65100.129777063993-1.47977706399321
4399.2897.73833833273821.54166166726182
44100.09100.216923446136-0.126923446135763
45101.29100.106123234911.18387676508989
46101.95101.317455770570.632544229429513
47103.29102.1309725661941.15902743380633
48103.78103.2004074383940.579592561605594
49105.79103.433108816442.35689118355991
50106.14104.8444414213781.29555857862199
51106.5106.0692578604550.430742139545401
52106.89105.8412877438731.04871225612666
53106.59107.81904067276-1.22904067275955
54106.01108.652481335288-2.64248133528821
55105.91105.7207077523440.18929224765634
56105.65106.799888013146-1.14988801314611
57104.72106.013258557398-1.2932585573982
58103.42105.033908877451-1.61390887745095
59102.47104.01343236061-1.54343236060997
6099.32102.696196307905-3.37619630790533
6197.7199.8258756392844-2.11587563928437
6298.4497.27187444480161.1681255551984
6396.498.2595759284205-1.8595759284205
6497.4496.17388042255541.26611957744457
6598.2197.99789861671710.212101383282914
6697.4299.8478770641889-2.42787706418891
6797.4497.5199980191031-0.0799980191031153
6896.6698.1707474641189-1.51074746411889
6994.7897.0556088964195-2.27560889641954
70113.2995.192333299490918.0976667005091
71114.16110.961921452493.1980785475097
72115.05113.4083072578421.64169274215772

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 90.97 & 90.7778926282051 & 0.19210737179489 \tabularnewline
14 & 90.27 & 90.0563915235832 & 0.213608476416766 \tabularnewline
15 & 91.07 & 90.834443346562 & 0.235556653438024 \tabularnewline
16 & 90.46 & 90.1945120031895 & 0.265487996810478 \tabularnewline
17 & 92.41 & 92.132143205515 & 0.277856794484975 \tabularnewline
18 & 94.64 & 94.3482200781247 & 0.291779921875332 \tabularnewline
19 & 95.56 & 92.5303157523067 & 3.02968424769334 \tabularnewline
20 & 96.21 & 97.0705667827671 & -0.860566782767123 \tabularnewline
21 & 96.7 & 96.2917213063987 & 0.408278693601261 \tabularnewline
22 & 96.12 & 96.82007050177 & -0.70007050177 \tabularnewline
23 & 96.23 & 95.9295149894719 & 0.300485010528135 \tabularnewline
24 & 96.43 & 96.6777709158326 & -0.247770915832589 \tabularnewline
25 & 96.36 & 96.155812756493 & 0.204187243507036 \tabularnewline
26 & 96.06 & 95.4477928827754 & 0.6122071172246 \tabularnewline
27 & 96.14 & 96.5684185571611 & -0.428418557161109 \tabularnewline
28 & 96.19 & 95.3677269791099 & 0.822273020890066 \tabularnewline
29 & 95.87 & 97.7811641350949 & -1.91116413509486 \tabularnewline
30 & 95.58 & 98.1358965015462 & -2.55589650154623 \tabularnewline
31 & 95.29 & 94.3011417176107 & 0.988858282389302 \tabularnewline
32 & 96.06 & 96.5254744630965 & -0.465474463096456 \tabularnewline
33 & 94.83 & 96.2716875252113 & -1.44168752521131 \tabularnewline
34 & 94.88 & 95.0603821608523 & -0.180382160852261 \tabularnewline
35 & 97.41 & 94.7610414698472 & 2.64895853015284 \tabularnewline
36 & 97.87 & 97.4268975391451 & 0.443102460854917 \tabularnewline
37 & 97.89 & 97.5602753656664 & 0.329724634333573 \tabularnewline
38 & 98.87 & 97.0198106768179 & 1.85018932318209 \tabularnewline
39 & 98.72 & 99.0394875351732 & -0.319487535173238 \tabularnewline
40 & 98.17 & 98.1175578988879 & 0.0524421011121206 \tabularnewline
41 & 98.03 & 99.4690879625508 & -1.43908796255081 \tabularnewline
42 & 98.65 & 100.129777063993 & -1.47977706399321 \tabularnewline
43 & 99.28 & 97.7383383327382 & 1.54166166726182 \tabularnewline
44 & 100.09 & 100.216923446136 & -0.126923446135763 \tabularnewline
45 & 101.29 & 100.10612323491 & 1.18387676508989 \tabularnewline
46 & 101.95 & 101.31745577057 & 0.632544229429513 \tabularnewline
47 & 103.29 & 102.130972566194 & 1.15902743380633 \tabularnewline
48 & 103.78 & 103.200407438394 & 0.579592561605594 \tabularnewline
49 & 105.79 & 103.43310881644 & 2.35689118355991 \tabularnewline
50 & 106.14 & 104.844441421378 & 1.29555857862199 \tabularnewline
51 & 106.5 & 106.069257860455 & 0.430742139545401 \tabularnewline
52 & 106.89 & 105.841287743873 & 1.04871225612666 \tabularnewline
53 & 106.59 & 107.81904067276 & -1.22904067275955 \tabularnewline
54 & 106.01 & 108.652481335288 & -2.64248133528821 \tabularnewline
55 & 105.91 & 105.720707752344 & 0.18929224765634 \tabularnewline
56 & 105.65 & 106.799888013146 & -1.14988801314611 \tabularnewline
57 & 104.72 & 106.013258557398 & -1.2932585573982 \tabularnewline
58 & 103.42 & 105.033908877451 & -1.61390887745095 \tabularnewline
59 & 102.47 & 104.01343236061 & -1.54343236060997 \tabularnewline
60 & 99.32 & 102.696196307905 & -3.37619630790533 \tabularnewline
61 & 97.71 & 99.8258756392844 & -2.11587563928437 \tabularnewline
62 & 98.44 & 97.2718744448016 & 1.1681255551984 \tabularnewline
63 & 96.4 & 98.2595759284205 & -1.8595759284205 \tabularnewline
64 & 97.44 & 96.1738804225554 & 1.26611957744457 \tabularnewline
65 & 98.21 & 97.9978986167171 & 0.212101383282914 \tabularnewline
66 & 97.42 & 99.8478770641889 & -2.42787706418891 \tabularnewline
67 & 97.44 & 97.5199980191031 & -0.0799980191031153 \tabularnewline
68 & 96.66 & 98.1707474641189 & -1.51074746411889 \tabularnewline
69 & 94.78 & 97.0556088964195 & -2.27560889641954 \tabularnewline
70 & 113.29 & 95.1923332994909 & 18.0976667005091 \tabularnewline
71 & 114.16 & 110.96192145249 & 3.1980785475097 \tabularnewline
72 & 115.05 & 113.408307257842 & 1.64169274215772 \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]90.97[/C][C]90.7778926282051[/C][C]0.19210737179489[/C][/ROW]
[ROW][C]14[/C][C]90.27[/C][C]90.0563915235832[/C][C]0.213608476416766[/C][/ROW]
[ROW][C]15[/C][C]91.07[/C][C]90.834443346562[/C][C]0.235556653438024[/C][/ROW]
[ROW][C]16[/C][C]90.46[/C][C]90.1945120031895[/C][C]0.265487996810478[/C][/ROW]
[ROW][C]17[/C][C]92.41[/C][C]92.132143205515[/C][C]0.277856794484975[/C][/ROW]
[ROW][C]18[/C][C]94.64[/C][C]94.3482200781247[/C][C]0.291779921875332[/C][/ROW]
[ROW][C]19[/C][C]95.56[/C][C]92.5303157523067[/C][C]3.02968424769334[/C][/ROW]
[ROW][C]20[/C][C]96.21[/C][C]97.0705667827671[/C][C]-0.860566782767123[/C][/ROW]
[ROW][C]21[/C][C]96.7[/C][C]96.2917213063987[/C][C]0.408278693601261[/C][/ROW]
[ROW][C]22[/C][C]96.12[/C][C]96.82007050177[/C][C]-0.70007050177[/C][/ROW]
[ROW][C]23[/C][C]96.23[/C][C]95.9295149894719[/C][C]0.300485010528135[/C][/ROW]
[ROW][C]24[/C][C]96.43[/C][C]96.6777709158326[/C][C]-0.247770915832589[/C][/ROW]
[ROW][C]25[/C][C]96.36[/C][C]96.155812756493[/C][C]0.204187243507036[/C][/ROW]
[ROW][C]26[/C][C]96.06[/C][C]95.4477928827754[/C][C]0.6122071172246[/C][/ROW]
[ROW][C]27[/C][C]96.14[/C][C]96.5684185571611[/C][C]-0.428418557161109[/C][/ROW]
[ROW][C]28[/C][C]96.19[/C][C]95.3677269791099[/C][C]0.822273020890066[/C][/ROW]
[ROW][C]29[/C][C]95.87[/C][C]97.7811641350949[/C][C]-1.91116413509486[/C][/ROW]
[ROW][C]30[/C][C]95.58[/C][C]98.1358965015462[/C][C]-2.55589650154623[/C][/ROW]
[ROW][C]31[/C][C]95.29[/C][C]94.3011417176107[/C][C]0.988858282389302[/C][/ROW]
[ROW][C]32[/C][C]96.06[/C][C]96.5254744630965[/C][C]-0.465474463096456[/C][/ROW]
[ROW][C]33[/C][C]94.83[/C][C]96.2716875252113[/C][C]-1.44168752521131[/C][/ROW]
[ROW][C]34[/C][C]94.88[/C][C]95.0603821608523[/C][C]-0.180382160852261[/C][/ROW]
[ROW][C]35[/C][C]97.41[/C][C]94.7610414698472[/C][C]2.64895853015284[/C][/ROW]
[ROW][C]36[/C][C]97.87[/C][C]97.4268975391451[/C][C]0.443102460854917[/C][/ROW]
[ROW][C]37[/C][C]97.89[/C][C]97.5602753656664[/C][C]0.329724634333573[/C][/ROW]
[ROW][C]38[/C][C]98.87[/C][C]97.0198106768179[/C][C]1.85018932318209[/C][/ROW]
[ROW][C]39[/C][C]98.72[/C][C]99.0394875351732[/C][C]-0.319487535173238[/C][/ROW]
[ROW][C]40[/C][C]98.17[/C][C]98.1175578988879[/C][C]0.0524421011121206[/C][/ROW]
[ROW][C]41[/C][C]98.03[/C][C]99.4690879625508[/C][C]-1.43908796255081[/C][/ROW]
[ROW][C]42[/C][C]98.65[/C][C]100.129777063993[/C][C]-1.47977706399321[/C][/ROW]
[ROW][C]43[/C][C]99.28[/C][C]97.7383383327382[/C][C]1.54166166726182[/C][/ROW]
[ROW][C]44[/C][C]100.09[/C][C]100.216923446136[/C][C]-0.126923446135763[/C][/ROW]
[ROW][C]45[/C][C]101.29[/C][C]100.10612323491[/C][C]1.18387676508989[/C][/ROW]
[ROW][C]46[/C][C]101.95[/C][C]101.31745577057[/C][C]0.632544229429513[/C][/ROW]
[ROW][C]47[/C][C]103.29[/C][C]102.130972566194[/C][C]1.15902743380633[/C][/ROW]
[ROW][C]48[/C][C]103.78[/C][C]103.200407438394[/C][C]0.579592561605594[/C][/ROW]
[ROW][C]49[/C][C]105.79[/C][C]103.43310881644[/C][C]2.35689118355991[/C][/ROW]
[ROW][C]50[/C][C]106.14[/C][C]104.844441421378[/C][C]1.29555857862199[/C][/ROW]
[ROW][C]51[/C][C]106.5[/C][C]106.069257860455[/C][C]0.430742139545401[/C][/ROW]
[ROW][C]52[/C][C]106.89[/C][C]105.841287743873[/C][C]1.04871225612666[/C][/ROW]
[ROW][C]53[/C][C]106.59[/C][C]107.81904067276[/C][C]-1.22904067275955[/C][/ROW]
[ROW][C]54[/C][C]106.01[/C][C]108.652481335288[/C][C]-2.64248133528821[/C][/ROW]
[ROW][C]55[/C][C]105.91[/C][C]105.720707752344[/C][C]0.18929224765634[/C][/ROW]
[ROW][C]56[/C][C]105.65[/C][C]106.799888013146[/C][C]-1.14988801314611[/C][/ROW]
[ROW][C]57[/C][C]104.72[/C][C]106.013258557398[/C][C]-1.2932585573982[/C][/ROW]
[ROW][C]58[/C][C]103.42[/C][C]105.033908877451[/C][C]-1.61390887745095[/C][/ROW]
[ROW][C]59[/C][C]102.47[/C][C]104.01343236061[/C][C]-1.54343236060997[/C][/ROW]
[ROW][C]60[/C][C]99.32[/C][C]102.696196307905[/C][C]-3.37619630790533[/C][/ROW]
[ROW][C]61[/C][C]97.71[/C][C]99.8258756392844[/C][C]-2.11587563928437[/C][/ROW]
[ROW][C]62[/C][C]98.44[/C][C]97.2718744448016[/C][C]1.1681255551984[/C][/ROW]
[ROW][C]63[/C][C]96.4[/C][C]98.2595759284205[/C][C]-1.8595759284205[/C][/ROW]
[ROW][C]64[/C][C]97.44[/C][C]96.1738804225554[/C][C]1.26611957744457[/C][/ROW]
[ROW][C]65[/C][C]98.21[/C][C]97.9978986167171[/C][C]0.212101383282914[/C][/ROW]
[ROW][C]66[/C][C]97.42[/C][C]99.8478770641889[/C][C]-2.42787706418891[/C][/ROW]
[ROW][C]67[/C][C]97.44[/C][C]97.5199980191031[/C][C]-0.0799980191031153[/C][/ROW]
[ROW][C]68[/C][C]96.66[/C][C]98.1707474641189[/C][C]-1.51074746411889[/C][/ROW]
[ROW][C]69[/C][C]94.78[/C][C]97.0556088964195[/C][C]-2.27560889641954[/C][/ROW]
[ROW][C]70[/C][C]113.29[/C][C]95.1923332994909[/C][C]18.0976667005091[/C][/ROW]
[ROW][C]71[/C][C]114.16[/C][C]110.96192145249[/C][C]3.1980785475097[/C][/ROW]
[ROW][C]72[/C][C]115.05[/C][C]113.408307257842[/C][C]1.64169274215772[/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
1390.9790.77789262820510.19210737179489
1490.2790.05639152358320.213608476416766
1591.0790.8344433465620.235556653438024
1690.4690.19451200318950.265487996810478
1792.4192.1321432055150.277856794484975
1894.6494.34822007812470.291779921875332
1995.5692.53031575230673.02968424769334
2096.2197.0705667827671-0.860566782767123
2196.796.29172130639870.408278693601261
2296.1296.82007050177-0.70007050177
2396.2395.92951498947190.300485010528135
2496.4396.6777709158326-0.247770915832589
2596.3696.1558127564930.204187243507036
2696.0695.44779288277540.6122071172246
2796.1496.5684185571611-0.428418557161109
2896.1995.36772697910990.822273020890066
2995.8797.7811641350949-1.91116413509486
3095.5898.1358965015462-2.55589650154623
3195.2994.30114171761070.988858282389302
3296.0696.5254744630965-0.465474463096456
3394.8396.2716875252113-1.44168752521131
3494.8895.0603821608523-0.180382160852261
3597.4194.76104146984722.64895853015284
3697.8797.42689753914510.443102460854917
3797.8997.56027536566640.329724634333573
3898.8797.01981067681791.85018932318209
3998.7299.0394875351732-0.319487535173238
4098.1798.11755789888790.0524421011121206
4198.0399.4690879625508-1.43908796255081
4298.65100.129777063993-1.47977706399321
4399.2897.73833833273821.54166166726182
44100.09100.216923446136-0.126923446135763
45101.29100.106123234911.18387676508989
46101.95101.317455770570.632544229429513
47103.29102.1309725661941.15902743380633
48103.78103.2004074383940.579592561605594
49105.79103.433108816442.35689118355991
50106.14104.8444414213781.29555857862199
51106.5106.0692578604550.430742139545401
52106.89105.8412877438731.04871225612666
53106.59107.81904067276-1.22904067275955
54106.01108.652481335288-2.64248133528821
55105.91105.7207077523440.18929224765634
56105.65106.799888013146-1.14988801314611
57104.72106.013258557398-1.2932585573982
58103.42105.033908877451-1.61390887745095
59102.47104.01343236061-1.54343236060997
6099.32102.696196307905-3.37619630790533
6197.7199.8258756392844-2.11587563928437
6298.4497.27187444480161.1681255551984
6396.498.2595759284205-1.8595759284205
6497.4496.17388042255541.26611957744457
6598.2197.99789861671710.212101383282914
6697.4299.8478770641889-2.42787706418891
6797.4497.5199980191031-0.0799980191031153
6896.6698.1707474641189-1.51074746411889
6994.7897.0556088964195-2.27560889641954
70113.2995.192333299490918.0976667005091
71114.16110.961921452493.1980785475097
72115.05113.4083072578421.64169274215772







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73114.996956966748109.615329470757120.37858446274
74114.732583987256107.665141410818121.800026563694
75114.275557708109105.853231744524122.697883671694
76114.237766805398104.650149546531123.825384064264
77114.827214395162104.201338677455125.453090112868
78116.103957425836104.532610709322127.67530414235
79116.192056157394103.746860502065128.637251812722
80116.698087826225103.43649949884129.95967615361
81116.755211783853102.724653882234130.785769685472
82119.859478488523105.099960031056134.61899694599
83118.007097422732102.552964798675133.461230046789
84117.499597902098101.380756590528133.618439213668

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 114.996956966748 & 109.615329470757 & 120.37858446274 \tabularnewline
74 & 114.732583987256 & 107.665141410818 & 121.800026563694 \tabularnewline
75 & 114.275557708109 & 105.853231744524 & 122.697883671694 \tabularnewline
76 & 114.237766805398 & 104.650149546531 & 123.825384064264 \tabularnewline
77 & 114.827214395162 & 104.201338677455 & 125.453090112868 \tabularnewline
78 & 116.103957425836 & 104.532610709322 & 127.67530414235 \tabularnewline
79 & 116.192056157394 & 103.746860502065 & 128.637251812722 \tabularnewline
80 & 116.698087826225 & 103.43649949884 & 129.95967615361 \tabularnewline
81 & 116.755211783853 & 102.724653882234 & 130.785769685472 \tabularnewline
82 & 119.859478488523 & 105.099960031056 & 134.61899694599 \tabularnewline
83 & 118.007097422732 & 102.552964798675 & 133.461230046789 \tabularnewline
84 & 117.499597902098 & 101.380756590528 & 133.618439213668 \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]114.996956966748[/C][C]109.615329470757[/C][C]120.37858446274[/C][/ROW]
[ROW][C]74[/C][C]114.732583987256[/C][C]107.665141410818[/C][C]121.800026563694[/C][/ROW]
[ROW][C]75[/C][C]114.275557708109[/C][C]105.853231744524[/C][C]122.697883671694[/C][/ROW]
[ROW][C]76[/C][C]114.237766805398[/C][C]104.650149546531[/C][C]123.825384064264[/C][/ROW]
[ROW][C]77[/C][C]114.827214395162[/C][C]104.201338677455[/C][C]125.453090112868[/C][/ROW]
[ROW][C]78[/C][C]116.103957425836[/C][C]104.532610709322[/C][C]127.67530414235[/C][/ROW]
[ROW][C]79[/C][C]116.192056157394[/C][C]103.746860502065[/C][C]128.637251812722[/C][/ROW]
[ROW][C]80[/C][C]116.698087826225[/C][C]103.43649949884[/C][C]129.95967615361[/C][/ROW]
[ROW][C]81[/C][C]116.755211783853[/C][C]102.724653882234[/C][C]130.785769685472[/C][/ROW]
[ROW][C]82[/C][C]119.859478488523[/C][C]105.099960031056[/C][C]134.61899694599[/C][/ROW]
[ROW][C]83[/C][C]118.007097422732[/C][C]102.552964798675[/C][C]133.461230046789[/C][/ROW]
[ROW][C]84[/C][C]117.499597902098[/C][C]101.380756590528[/C][C]133.618439213668[/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
73114.996956966748109.615329470757120.37858446274
74114.732583987256107.665141410818121.800026563694
75114.275557708109105.853231744524122.697883671694
76114.237766805398104.650149546531123.825384064264
77114.827214395162104.201338677455125.453090112868
78116.103957425836104.532610709322127.67530414235
79116.192056157394103.746860502065128.637251812722
80116.698087826225103.43649949884129.95967615361
81116.755211783853102.724653882234130.785769685472
82119.859478488523105.099960031056134.61899694599
83118.007097422732102.552964798675133.461230046789
84117.499597902098101.380756590528133.618439213668



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')