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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 26 Dec 2010 21:05:11 +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/2010/Dec/26/t1293397512bmtssyq3lnwh9rr.htm/, Retrieved Mon, 06 May 2024 20:35:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115812, Retrieved Mon, 06 May 2024 20:35:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact175
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [Inschrijving nieu...] [2010-05-31 13:38:37] [44f4e89d2978fa9cb7cef84cf6986739]
-    D    [Exponential Smoothing] [] [2010-12-26 21:05:11] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
84,9
81,9
95,9
81
89,2
102,5
89,8
88,8
83,2
90,2
100,4
187,1
87,6
85,4
86,1
86,7
89,1
103,7
86,9
85,2
80,8
91,2
102,8
182,5
80,9
83,1
88,3
86,6
93
105,3
93,8
86,4
87
96,7
100,5
196,7
86,8
88,2
93,8
85
90,4
115,9
94,9
87,7
91,7
95,9
106,8
204,5
90,2
90,5
93,2
97,8
99,4
120
108,2
98,5
104,3
102,9
111,1
188,1
93,8
94,5
112,4
102,5
115,8
136,5
122,1
110,6
116,4
112,6
121,5
199,3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time13 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 13 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115812&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]13 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115812&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115812&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 time13 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.644729072186909
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.644729072186909 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115812&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]0.644729072186909[/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=115812&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115812&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
alpha0.644729072186909
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1387.687.47244697004080.127553029959202
1485.485.5382562478315-0.138256247831535
1586.186.3157813753947-0.215781375394712
1686.786.7741529029184-0.0741529029184278
1789.188.94131429148880.158685708511157
18103.7103.6660758912990.0339241087009725
1986.989.278745363225-2.37874536322504
2085.286.4840624504951-1.28406245049513
2180.880.41691636099740.383083639002592
2291.287.54623562948133.65376437051872
23102.899.76688331349243.03311668650763
24182.5189.358002003619-6.85800200361865
2580.986.6391802311585-5.73918023115847
2683.180.93749787628352.16250212371654
2788.383.13862041438135.1613795856187
2886.687.1170957441602-0.51709574416023
299389.08360788550983.91639211449022
30105.3106.599044512895-1.29904451289522
3193.890.17772043273273.6222795672673
3286.491.583542678437-5.18354267843705
338783.43012817406653.56987182593353
3496.794.23447322085262.46552677914741
35100.5105.939005876964-5.43900587696407
36196.7186.19454137470210.5054586252984
3786.889.359567826622-2.55956782662197
3888.288.5734116381013-0.37341163810126
3993.890.25135822014323.54864177985682
408591.1089397508686-6.10893975086857
4190.491.0326108358374-0.632610835837426
42115.9103.42151019841812.4784898015819
4394.996.7900562672123-1.8900562672123
4487.791.3667883309254-3.66678833092544
4591.787.21637642418934.48362357581071
4695.998.4941888530737-2.59418885307366
47106.8104.0713605543212.72863944567895
48204.5199.8690194239064.63098057609446
4990.291.2018616197427-1.00186161974266
5090.592.2696540844687-1.76965408446871
5193.294.5204417166908-1.32044171669081
5297.888.71650943482879.08349056517127
5399.4101.040170174393-1.64017017439268
54120118.9410421268191.05895787318140
55108.299.19977158291359.0002284170865
5698.599.6191824008073-1.11918240080726
57104.3100.0978269232684.20217307673171
58102.9109.380095146458-6.4800951464576
59111.1115.218063119950-4.11806311994972
60188.1212.369097414048-24.2690974140483
6193.887.38625833154296.41374166845712
6294.592.97624478064441.52375521935565
63112.497.64342199756114.7565780024390
64102.5105.491389777753-2.99138977775341
65115.8106.3736299351429.4263700648576
66136.5134.9899856689531.51001433104702
67122.1115.8266771840156.27332281598508
68110.6109.9269023398040.673097660196191
69116.4113.786325679932.61367432007010
70112.6118.451713817369-5.85171381736859
71121.5126.745246385535-5.24524638553484
72199.3225.488196993613-26.1881969936130

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 87.6 & 87.4724469700408 & 0.127553029959202 \tabularnewline
14 & 85.4 & 85.5382562478315 & -0.138256247831535 \tabularnewline
15 & 86.1 & 86.3157813753947 & -0.215781375394712 \tabularnewline
16 & 86.7 & 86.7741529029184 & -0.0741529029184278 \tabularnewline
17 & 89.1 & 88.9413142914888 & 0.158685708511157 \tabularnewline
18 & 103.7 & 103.666075891299 & 0.0339241087009725 \tabularnewline
19 & 86.9 & 89.278745363225 & -2.37874536322504 \tabularnewline
20 & 85.2 & 86.4840624504951 & -1.28406245049513 \tabularnewline
21 & 80.8 & 80.4169163609974 & 0.383083639002592 \tabularnewline
22 & 91.2 & 87.5462356294813 & 3.65376437051872 \tabularnewline
23 & 102.8 & 99.7668833134924 & 3.03311668650763 \tabularnewline
24 & 182.5 & 189.358002003619 & -6.85800200361865 \tabularnewline
25 & 80.9 & 86.6391802311585 & -5.73918023115847 \tabularnewline
26 & 83.1 & 80.9374978762835 & 2.16250212371654 \tabularnewline
27 & 88.3 & 83.1386204143813 & 5.1613795856187 \tabularnewline
28 & 86.6 & 87.1170957441602 & -0.51709574416023 \tabularnewline
29 & 93 & 89.0836078855098 & 3.91639211449022 \tabularnewline
30 & 105.3 & 106.599044512895 & -1.29904451289522 \tabularnewline
31 & 93.8 & 90.1777204327327 & 3.6222795672673 \tabularnewline
32 & 86.4 & 91.583542678437 & -5.18354267843705 \tabularnewline
33 & 87 & 83.4301281740665 & 3.56987182593353 \tabularnewline
34 & 96.7 & 94.2344732208526 & 2.46552677914741 \tabularnewline
35 & 100.5 & 105.939005876964 & -5.43900587696407 \tabularnewline
36 & 196.7 & 186.194541374702 & 10.5054586252984 \tabularnewline
37 & 86.8 & 89.359567826622 & -2.55956782662197 \tabularnewline
38 & 88.2 & 88.5734116381013 & -0.37341163810126 \tabularnewline
39 & 93.8 & 90.2513582201432 & 3.54864177985682 \tabularnewline
40 & 85 & 91.1089397508686 & -6.10893975086857 \tabularnewline
41 & 90.4 & 91.0326108358374 & -0.632610835837426 \tabularnewline
42 & 115.9 & 103.421510198418 & 12.4784898015819 \tabularnewline
43 & 94.9 & 96.7900562672123 & -1.8900562672123 \tabularnewline
44 & 87.7 & 91.3667883309254 & -3.66678833092544 \tabularnewline
45 & 91.7 & 87.2163764241893 & 4.48362357581071 \tabularnewline
46 & 95.9 & 98.4941888530737 & -2.59418885307366 \tabularnewline
47 & 106.8 & 104.071360554321 & 2.72863944567895 \tabularnewline
48 & 204.5 & 199.869019423906 & 4.63098057609446 \tabularnewline
49 & 90.2 & 91.2018616197427 & -1.00186161974266 \tabularnewline
50 & 90.5 & 92.2696540844687 & -1.76965408446871 \tabularnewline
51 & 93.2 & 94.5204417166908 & -1.32044171669081 \tabularnewline
52 & 97.8 & 88.7165094348287 & 9.08349056517127 \tabularnewline
53 & 99.4 & 101.040170174393 & -1.64017017439268 \tabularnewline
54 & 120 & 118.941042126819 & 1.05895787318140 \tabularnewline
55 & 108.2 & 99.1997715829135 & 9.0002284170865 \tabularnewline
56 & 98.5 & 99.6191824008073 & -1.11918240080726 \tabularnewline
57 & 104.3 & 100.097826923268 & 4.20217307673171 \tabularnewline
58 & 102.9 & 109.380095146458 & -6.4800951464576 \tabularnewline
59 & 111.1 & 115.218063119950 & -4.11806311994972 \tabularnewline
60 & 188.1 & 212.369097414048 & -24.2690974140483 \tabularnewline
61 & 93.8 & 87.3862583315429 & 6.41374166845712 \tabularnewline
62 & 94.5 & 92.9762447806444 & 1.52375521935565 \tabularnewline
63 & 112.4 & 97.643421997561 & 14.7565780024390 \tabularnewline
64 & 102.5 & 105.491389777753 & -2.99138977775341 \tabularnewline
65 & 115.8 & 106.373629935142 & 9.4263700648576 \tabularnewline
66 & 136.5 & 134.989985668953 & 1.51001433104702 \tabularnewline
67 & 122.1 & 115.826677184015 & 6.27332281598508 \tabularnewline
68 & 110.6 & 109.926902339804 & 0.673097660196191 \tabularnewline
69 & 116.4 & 113.78632567993 & 2.61367432007010 \tabularnewline
70 & 112.6 & 118.451713817369 & -5.85171381736859 \tabularnewline
71 & 121.5 & 126.745246385535 & -5.24524638553484 \tabularnewline
72 & 199.3 & 225.488196993613 & -26.1881969936130 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115812&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]87.6[/C][C]87.4724469700408[/C][C]0.127553029959202[/C][/ROW]
[ROW][C]14[/C][C]85.4[/C][C]85.5382562478315[/C][C]-0.138256247831535[/C][/ROW]
[ROW][C]15[/C][C]86.1[/C][C]86.3157813753947[/C][C]-0.215781375394712[/C][/ROW]
[ROW][C]16[/C][C]86.7[/C][C]86.7741529029184[/C][C]-0.0741529029184278[/C][/ROW]
[ROW][C]17[/C][C]89.1[/C][C]88.9413142914888[/C][C]0.158685708511157[/C][/ROW]
[ROW][C]18[/C][C]103.7[/C][C]103.666075891299[/C][C]0.0339241087009725[/C][/ROW]
[ROW][C]19[/C][C]86.9[/C][C]89.278745363225[/C][C]-2.37874536322504[/C][/ROW]
[ROW][C]20[/C][C]85.2[/C][C]86.4840624504951[/C][C]-1.28406245049513[/C][/ROW]
[ROW][C]21[/C][C]80.8[/C][C]80.4169163609974[/C][C]0.383083639002592[/C][/ROW]
[ROW][C]22[/C][C]91.2[/C][C]87.5462356294813[/C][C]3.65376437051872[/C][/ROW]
[ROW][C]23[/C][C]102.8[/C][C]99.7668833134924[/C][C]3.03311668650763[/C][/ROW]
[ROW][C]24[/C][C]182.5[/C][C]189.358002003619[/C][C]-6.85800200361865[/C][/ROW]
[ROW][C]25[/C][C]80.9[/C][C]86.6391802311585[/C][C]-5.73918023115847[/C][/ROW]
[ROW][C]26[/C][C]83.1[/C][C]80.9374978762835[/C][C]2.16250212371654[/C][/ROW]
[ROW][C]27[/C][C]88.3[/C][C]83.1386204143813[/C][C]5.1613795856187[/C][/ROW]
[ROW][C]28[/C][C]86.6[/C][C]87.1170957441602[/C][C]-0.51709574416023[/C][/ROW]
[ROW][C]29[/C][C]93[/C][C]89.0836078855098[/C][C]3.91639211449022[/C][/ROW]
[ROW][C]30[/C][C]105.3[/C][C]106.599044512895[/C][C]-1.29904451289522[/C][/ROW]
[ROW][C]31[/C][C]93.8[/C][C]90.1777204327327[/C][C]3.6222795672673[/C][/ROW]
[ROW][C]32[/C][C]86.4[/C][C]91.583542678437[/C][C]-5.18354267843705[/C][/ROW]
[ROW][C]33[/C][C]87[/C][C]83.4301281740665[/C][C]3.56987182593353[/C][/ROW]
[ROW][C]34[/C][C]96.7[/C][C]94.2344732208526[/C][C]2.46552677914741[/C][/ROW]
[ROW][C]35[/C][C]100.5[/C][C]105.939005876964[/C][C]-5.43900587696407[/C][/ROW]
[ROW][C]36[/C][C]196.7[/C][C]186.194541374702[/C][C]10.5054586252984[/C][/ROW]
[ROW][C]37[/C][C]86.8[/C][C]89.359567826622[/C][C]-2.55956782662197[/C][/ROW]
[ROW][C]38[/C][C]88.2[/C][C]88.5734116381013[/C][C]-0.37341163810126[/C][/ROW]
[ROW][C]39[/C][C]93.8[/C][C]90.2513582201432[/C][C]3.54864177985682[/C][/ROW]
[ROW][C]40[/C][C]85[/C][C]91.1089397508686[/C][C]-6.10893975086857[/C][/ROW]
[ROW][C]41[/C][C]90.4[/C][C]91.0326108358374[/C][C]-0.632610835837426[/C][/ROW]
[ROW][C]42[/C][C]115.9[/C][C]103.421510198418[/C][C]12.4784898015819[/C][/ROW]
[ROW][C]43[/C][C]94.9[/C][C]96.7900562672123[/C][C]-1.8900562672123[/C][/ROW]
[ROW][C]44[/C][C]87.7[/C][C]91.3667883309254[/C][C]-3.66678833092544[/C][/ROW]
[ROW][C]45[/C][C]91.7[/C][C]87.2163764241893[/C][C]4.48362357581071[/C][/ROW]
[ROW][C]46[/C][C]95.9[/C][C]98.4941888530737[/C][C]-2.59418885307366[/C][/ROW]
[ROW][C]47[/C][C]106.8[/C][C]104.071360554321[/C][C]2.72863944567895[/C][/ROW]
[ROW][C]48[/C][C]204.5[/C][C]199.869019423906[/C][C]4.63098057609446[/C][/ROW]
[ROW][C]49[/C][C]90.2[/C][C]91.2018616197427[/C][C]-1.00186161974266[/C][/ROW]
[ROW][C]50[/C][C]90.5[/C][C]92.2696540844687[/C][C]-1.76965408446871[/C][/ROW]
[ROW][C]51[/C][C]93.2[/C][C]94.5204417166908[/C][C]-1.32044171669081[/C][/ROW]
[ROW][C]52[/C][C]97.8[/C][C]88.7165094348287[/C][C]9.08349056517127[/C][/ROW]
[ROW][C]53[/C][C]99.4[/C][C]101.040170174393[/C][C]-1.64017017439268[/C][/ROW]
[ROW][C]54[/C][C]120[/C][C]118.941042126819[/C][C]1.05895787318140[/C][/ROW]
[ROW][C]55[/C][C]108.2[/C][C]99.1997715829135[/C][C]9.0002284170865[/C][/ROW]
[ROW][C]56[/C][C]98.5[/C][C]99.6191824008073[/C][C]-1.11918240080726[/C][/ROW]
[ROW][C]57[/C][C]104.3[/C][C]100.097826923268[/C][C]4.20217307673171[/C][/ROW]
[ROW][C]58[/C][C]102.9[/C][C]109.380095146458[/C][C]-6.4800951464576[/C][/ROW]
[ROW][C]59[/C][C]111.1[/C][C]115.218063119950[/C][C]-4.11806311994972[/C][/ROW]
[ROW][C]60[/C][C]188.1[/C][C]212.369097414048[/C][C]-24.2690974140483[/C][/ROW]
[ROW][C]61[/C][C]93.8[/C][C]87.3862583315429[/C][C]6.41374166845712[/C][/ROW]
[ROW][C]62[/C][C]94.5[/C][C]92.9762447806444[/C][C]1.52375521935565[/C][/ROW]
[ROW][C]63[/C][C]112.4[/C][C]97.643421997561[/C][C]14.7565780024390[/C][/ROW]
[ROW][C]64[/C][C]102.5[/C][C]105.491389777753[/C][C]-2.99138977775341[/C][/ROW]
[ROW][C]65[/C][C]115.8[/C][C]106.373629935142[/C][C]9.4263700648576[/C][/ROW]
[ROW][C]66[/C][C]136.5[/C][C]134.989985668953[/C][C]1.51001433104702[/C][/ROW]
[ROW][C]67[/C][C]122.1[/C][C]115.826677184015[/C][C]6.27332281598508[/C][/ROW]
[ROW][C]68[/C][C]110.6[/C][C]109.926902339804[/C][C]0.673097660196191[/C][/ROW]
[ROW][C]69[/C][C]116.4[/C][C]113.78632567993[/C][C]2.61367432007010[/C][/ROW]
[ROW][C]70[/C][C]112.6[/C][C]118.451713817369[/C][C]-5.85171381736859[/C][/ROW]
[ROW][C]71[/C][C]121.5[/C][C]126.745246385535[/C][C]-5.24524638553484[/C][/ROW]
[ROW][C]72[/C][C]199.3[/C][C]225.488196993613[/C][C]-26.1881969936130[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115812&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115812&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
1387.687.47244697004080.127553029959202
1485.485.5382562478315-0.138256247831535
1586.186.3157813753947-0.215781375394712
1686.786.7741529029184-0.0741529029184278
1789.188.94131429148880.158685708511157
18103.7103.6660758912990.0339241087009725
1986.989.278745363225-2.37874536322504
2085.286.4840624504951-1.28406245049513
2180.880.41691636099740.383083639002592
2291.287.54623562948133.65376437051872
23102.899.76688331349243.03311668650763
24182.5189.358002003619-6.85800200361865
2580.986.6391802311585-5.73918023115847
2683.180.93749787628352.16250212371654
2788.383.13862041438135.1613795856187
2886.687.1170957441602-0.51709574416023
299389.08360788550983.91639211449022
30105.3106.599044512895-1.29904451289522
3193.890.17772043273273.6222795672673
3286.491.583542678437-5.18354267843705
338783.43012817406653.56987182593353
3496.794.23447322085262.46552677914741
35100.5105.939005876964-5.43900587696407
36196.7186.19454137470210.5054586252984
3786.889.359567826622-2.55956782662197
3888.288.5734116381013-0.37341163810126
3993.890.25135822014323.54864177985682
408591.1089397508686-6.10893975086857
4190.491.0326108358374-0.632610835837426
42115.9103.42151019841812.4784898015819
4394.996.7900562672123-1.8900562672123
4487.791.3667883309254-3.66678833092544
4591.787.21637642418934.48362357581071
4695.998.4941888530737-2.59418885307366
47106.8104.0713605543212.72863944567895
48204.5199.8690194239064.63098057609446
4990.291.2018616197427-1.00186161974266
5090.592.2696540844687-1.76965408446871
5193.294.5204417166908-1.32044171669081
5297.888.71650943482879.08349056517127
5399.4101.040170174393-1.64017017439268
54120118.9410421268191.05895787318140
55108.299.19977158291359.0002284170865
5698.599.6191824008073-1.11918240080726
57104.3100.0978269232684.20217307673171
58102.9109.380095146458-6.4800951464576
59111.1115.218063119950-4.11806311994972
60188.1212.369097414048-24.2690974140483
6193.887.38625833154296.41374166845712
6294.592.97624478064441.52375521935565
63112.497.64342199756114.7565780024390
64102.5105.491389777753-2.99138977775341
65115.8106.3736299351429.4263700648576
66136.5134.9899856689531.51001433104702
67122.1115.8266771840156.27332281598508
68110.6109.9269023398040.673097660196191
69116.4113.786325679932.61367432007010
70112.6118.451713817369-5.85171381736859
71121.5126.745246385535-5.24524638553484
72199.3225.488196993613-26.1881969936130







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7399.330584029640986.2244507253583112.436717333924
7499.028731466076283.446171141228114.611291790924
75107.33167170076288.9118834927104125.751459908814
7699.698384444463680.2525330254099119.144235863517
77106.54587123362384.4244622858312128.667280181415
78124.68687614207398.1335032457983151.240249038348
79107.76471337451182.7851607369448132.744266012077
8097.224758097941472.7618566929547121.687659502928
81100.82339442582474.2155591368782127.431229714770
82100.73314189524672.8233085780659128.642975212427
83111.66835018322779.9412958734655143.395404492989
84197.989939633358-178.160681586067574.140560852784

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 99.3305840296409 & 86.2244507253583 & 112.436717333924 \tabularnewline
74 & 99.0287314660762 & 83.446171141228 & 114.611291790924 \tabularnewline
75 & 107.331671700762 & 88.9118834927104 & 125.751459908814 \tabularnewline
76 & 99.6983844444636 & 80.2525330254099 & 119.144235863517 \tabularnewline
77 & 106.545871233623 & 84.4244622858312 & 128.667280181415 \tabularnewline
78 & 124.686876142073 & 98.1335032457983 & 151.240249038348 \tabularnewline
79 & 107.764713374511 & 82.7851607369448 & 132.744266012077 \tabularnewline
80 & 97.2247580979414 & 72.7618566929547 & 121.687659502928 \tabularnewline
81 & 100.823394425824 & 74.2155591368782 & 127.431229714770 \tabularnewline
82 & 100.733141895246 & 72.8233085780659 & 128.642975212427 \tabularnewline
83 & 111.668350183227 & 79.9412958734655 & 143.395404492989 \tabularnewline
84 & 197.989939633358 & -178.160681586067 & 574.140560852784 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115812&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]99.3305840296409[/C][C]86.2244507253583[/C][C]112.436717333924[/C][/ROW]
[ROW][C]74[/C][C]99.0287314660762[/C][C]83.446171141228[/C][C]114.611291790924[/C][/ROW]
[ROW][C]75[/C][C]107.331671700762[/C][C]88.9118834927104[/C][C]125.751459908814[/C][/ROW]
[ROW][C]76[/C][C]99.6983844444636[/C][C]80.2525330254099[/C][C]119.144235863517[/C][/ROW]
[ROW][C]77[/C][C]106.545871233623[/C][C]84.4244622858312[/C][C]128.667280181415[/C][/ROW]
[ROW][C]78[/C][C]124.686876142073[/C][C]98.1335032457983[/C][C]151.240249038348[/C][/ROW]
[ROW][C]79[/C][C]107.764713374511[/C][C]82.7851607369448[/C][C]132.744266012077[/C][/ROW]
[ROW][C]80[/C][C]97.2247580979414[/C][C]72.7618566929547[/C][C]121.687659502928[/C][/ROW]
[ROW][C]81[/C][C]100.823394425824[/C][C]74.2155591368782[/C][C]127.431229714770[/C][/ROW]
[ROW][C]82[/C][C]100.733141895246[/C][C]72.8233085780659[/C][C]128.642975212427[/C][/ROW]
[ROW][C]83[/C][C]111.668350183227[/C][C]79.9412958734655[/C][C]143.395404492989[/C][/ROW]
[ROW][C]84[/C][C]197.989939633358[/C][C]-178.160681586067[/C][C]574.140560852784[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115812&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115812&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
7399.330584029640986.2244507253583112.436717333924
7499.028731466076283.446171141228114.611291790924
75107.33167170076288.9118834927104125.751459908814
7699.698384444463680.2525330254099119.144235863517
77106.54587123362384.4244622858312128.667280181415
78124.68687614207398.1335032457983151.240249038348
79107.76471337451182.7851607369448132.744266012077
8097.224758097941472.7618566929547121.687659502928
81100.82339442582474.2155591368782127.431229714770
82100.73314189524672.8233085780659128.642975212427
83111.66835018322779.9412958734655143.395404492989
84197.989939633358-178.160681586067574.140560852784



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