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triple exponential smoothing prijzen energiegrondstoffen - Charlotte De Sae...

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 06 Jun 2009 05:52:43 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/06/t1244289301r1efsssxunbp3rq.htm/, Retrieved Sun, 28 Apr 2024 21:51:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41975, Retrieved Sun, 28 Apr 2024 21:51:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [triple exponentia...] [2009-06-06 11:52:43] [16e291b2db388e9b7dc52bb84b5ee0ff] [Current]
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Dataseries X:
106,8
114,3
105,7
90,1
91,6
97,7
100,8
104,6
95,9
102,7
104
107,9
113,8
113,8
123,1
125,1
137,6
134
140,3
152,1
150,6
167,3
153,2
142
154,4
158,5
180,9
181,3
172,4
192
199,3
215,4
214,3
201,5
190,5
196
215,7
209,4
214,1
237,8
239
237,8
251,5
248,8
215,4
201,2
203,1
214,2
188,9
203
213,3
228,5
228,2
240,9
258,8
248,5
269,2
289,6
323,4
317,2
322,8
340,9
368,2
388,5
441,2
474,3
483,9
417,9
365,9
263
199,4
157,2




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' @ 193.190.124.24

\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' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41975&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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41975&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41975&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' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.925208409968674
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.925208409968674 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41975&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]0.925208409968674[/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=41975&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41975&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
alpha0.925208409968674
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13113.894.743544296042419.0564557039576
14113.8108.9480779012344.85192209876554
15123.1118.4639996283984.6360003716015
16125.1119.9072006735075.19279932649277
17137.6132.2768594611825.32314053881791
18134130.2104182120233.78958178797703
19140.3134.2566144533626.04338554663798
20152.1144.7362472766707.36375272332981
21150.6137.99539190678912.6046080932107
22167.3156.94571201512410.3542879848757
23153.2163.396038159528-10.1960381595276
24142154.849623944533-12.8496239445329
25154.4148.5063195515795.89368044842075
26158.5147.86658548152410.6334145184755
27180.9164.63182404251716.2681759574834
28181.3175.5679557312455.73204426875478
29172.4191.802646718712-19.402646718712
30192164.86347377427227.1365262257281
31199.3190.9493836045878.35061639541266
32215.4205.7023451149289.69765488507204
33214.3195.99425840279718.3057415972030
34201.5222.934924962338-21.434924962338
35190.5197.381223101414-6.88122310141443
36196191.7735545385664.22644546143371
37215.7205.23589713954710.4641028604525
38209.4206.8611212238472.5388787761529
39214.1218.775207632589-4.67520763258923
40237.8208.62205787878129.1779421212193
41239247.186330674228-8.1863306742282
42237.8231.5855677294476.21443227055343
43251.5236.77852796697914.7214720330210
44248.8259.315992533638-10.5159925336380
45215.4228.561073660509-13.1610736605085
46201.2223.326442855265-22.1264428552645
47203.1198.1730134341334.92698656586674
48214.2204.4165054079719.78349459202849
49188.9224.341293039953-35.4412930399533
50203183.86814712019919.1318528798014
51213.3210.2503236878743.04967631212565
52228.5209.54322771954318.9567722804574
53228.2235.442320602473-7.2423206024728
54240.9222.07953510933918.8204648906605
55258.8239.5122067262519.2877932737498
56248.5264.519262667103-16.0192626671034
57269.2228.34263923470540.8573607652953
58289.6273.68690036597215.9130996340282
59323.4284.5871491285638.8128508714401
60317.2323.680321250667-6.48032125066726
61322.8328.121135389173-5.32113538917292
62340.9316.82194744997924.0780525500209
63368.2351.58635451825716.6136454817434
64388.5362.74513378286525.7548662171350
65441.2397.37546685715943.824533142841
66474.3428.68179506500145.6182049349993
67483.9470.7996791726913.1003208273100
68417.9491.223973199139-73.3239731991388
69365.9393.507586970987-27.6075869709869
70263375.641652170156-112.641652170156
71199.4269.142256092473-69.7422560924728
72157.2204.481052461895-47.2810524618951

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 113.8 & 94.7435442960424 & 19.0564557039576 \tabularnewline
14 & 113.8 & 108.948077901234 & 4.85192209876554 \tabularnewline
15 & 123.1 & 118.463999628398 & 4.6360003716015 \tabularnewline
16 & 125.1 & 119.907200673507 & 5.19279932649277 \tabularnewline
17 & 137.6 & 132.276859461182 & 5.32314053881791 \tabularnewline
18 & 134 & 130.210418212023 & 3.78958178797703 \tabularnewline
19 & 140.3 & 134.256614453362 & 6.04338554663798 \tabularnewline
20 & 152.1 & 144.736247276670 & 7.36375272332981 \tabularnewline
21 & 150.6 & 137.995391906789 & 12.6046080932107 \tabularnewline
22 & 167.3 & 156.945712015124 & 10.3542879848757 \tabularnewline
23 & 153.2 & 163.396038159528 & -10.1960381595276 \tabularnewline
24 & 142 & 154.849623944533 & -12.8496239445329 \tabularnewline
25 & 154.4 & 148.506319551579 & 5.89368044842075 \tabularnewline
26 & 158.5 & 147.866585481524 & 10.6334145184755 \tabularnewline
27 & 180.9 & 164.631824042517 & 16.2681759574834 \tabularnewline
28 & 181.3 & 175.567955731245 & 5.73204426875478 \tabularnewline
29 & 172.4 & 191.802646718712 & -19.402646718712 \tabularnewline
30 & 192 & 164.863473774272 & 27.1365262257281 \tabularnewline
31 & 199.3 & 190.949383604587 & 8.35061639541266 \tabularnewline
32 & 215.4 & 205.702345114928 & 9.69765488507204 \tabularnewline
33 & 214.3 & 195.994258402797 & 18.3057415972030 \tabularnewline
34 & 201.5 & 222.934924962338 & -21.434924962338 \tabularnewline
35 & 190.5 & 197.381223101414 & -6.88122310141443 \tabularnewline
36 & 196 & 191.773554538566 & 4.22644546143371 \tabularnewline
37 & 215.7 & 205.235897139547 & 10.4641028604525 \tabularnewline
38 & 209.4 & 206.861121223847 & 2.5388787761529 \tabularnewline
39 & 214.1 & 218.775207632589 & -4.67520763258923 \tabularnewline
40 & 237.8 & 208.622057878781 & 29.1779421212193 \tabularnewline
41 & 239 & 247.186330674228 & -8.1863306742282 \tabularnewline
42 & 237.8 & 231.585567729447 & 6.21443227055343 \tabularnewline
43 & 251.5 & 236.778527966979 & 14.7214720330210 \tabularnewline
44 & 248.8 & 259.315992533638 & -10.5159925336380 \tabularnewline
45 & 215.4 & 228.561073660509 & -13.1610736605085 \tabularnewline
46 & 201.2 & 223.326442855265 & -22.1264428552645 \tabularnewline
47 & 203.1 & 198.173013434133 & 4.92698656586674 \tabularnewline
48 & 214.2 & 204.416505407971 & 9.78349459202849 \tabularnewline
49 & 188.9 & 224.341293039953 & -35.4412930399533 \tabularnewline
50 & 203 & 183.868147120199 & 19.1318528798014 \tabularnewline
51 & 213.3 & 210.250323687874 & 3.04967631212565 \tabularnewline
52 & 228.5 & 209.543227719543 & 18.9567722804574 \tabularnewline
53 & 228.2 & 235.442320602473 & -7.2423206024728 \tabularnewline
54 & 240.9 & 222.079535109339 & 18.8204648906605 \tabularnewline
55 & 258.8 & 239.51220672625 & 19.2877932737498 \tabularnewline
56 & 248.5 & 264.519262667103 & -16.0192626671034 \tabularnewline
57 & 269.2 & 228.342639234705 & 40.8573607652953 \tabularnewline
58 & 289.6 & 273.686900365972 & 15.9130996340282 \tabularnewline
59 & 323.4 & 284.58714912856 & 38.8128508714401 \tabularnewline
60 & 317.2 & 323.680321250667 & -6.48032125066726 \tabularnewline
61 & 322.8 & 328.121135389173 & -5.32113538917292 \tabularnewline
62 & 340.9 & 316.821947449979 & 24.0780525500209 \tabularnewline
63 & 368.2 & 351.586354518257 & 16.6136454817434 \tabularnewline
64 & 388.5 & 362.745133782865 & 25.7548662171350 \tabularnewline
65 & 441.2 & 397.375466857159 & 43.824533142841 \tabularnewline
66 & 474.3 & 428.681795065001 & 45.6182049349993 \tabularnewline
67 & 483.9 & 470.79967917269 & 13.1003208273100 \tabularnewline
68 & 417.9 & 491.223973199139 & -73.3239731991388 \tabularnewline
69 & 365.9 & 393.507586970987 & -27.6075869709869 \tabularnewline
70 & 263 & 375.641652170156 & -112.641652170156 \tabularnewline
71 & 199.4 & 269.142256092473 & -69.7422560924728 \tabularnewline
72 & 157.2 & 204.481052461895 & -47.2810524618951 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41975&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]113.8[/C][C]94.7435442960424[/C][C]19.0564557039576[/C][/ROW]
[ROW][C]14[/C][C]113.8[/C][C]108.948077901234[/C][C]4.85192209876554[/C][/ROW]
[ROW][C]15[/C][C]123.1[/C][C]118.463999628398[/C][C]4.6360003716015[/C][/ROW]
[ROW][C]16[/C][C]125.1[/C][C]119.907200673507[/C][C]5.19279932649277[/C][/ROW]
[ROW][C]17[/C][C]137.6[/C][C]132.276859461182[/C][C]5.32314053881791[/C][/ROW]
[ROW][C]18[/C][C]134[/C][C]130.210418212023[/C][C]3.78958178797703[/C][/ROW]
[ROW][C]19[/C][C]140.3[/C][C]134.256614453362[/C][C]6.04338554663798[/C][/ROW]
[ROW][C]20[/C][C]152.1[/C][C]144.736247276670[/C][C]7.36375272332981[/C][/ROW]
[ROW][C]21[/C][C]150.6[/C][C]137.995391906789[/C][C]12.6046080932107[/C][/ROW]
[ROW][C]22[/C][C]167.3[/C][C]156.945712015124[/C][C]10.3542879848757[/C][/ROW]
[ROW][C]23[/C][C]153.2[/C][C]163.396038159528[/C][C]-10.1960381595276[/C][/ROW]
[ROW][C]24[/C][C]142[/C][C]154.849623944533[/C][C]-12.8496239445329[/C][/ROW]
[ROW][C]25[/C][C]154.4[/C][C]148.506319551579[/C][C]5.89368044842075[/C][/ROW]
[ROW][C]26[/C][C]158.5[/C][C]147.866585481524[/C][C]10.6334145184755[/C][/ROW]
[ROW][C]27[/C][C]180.9[/C][C]164.631824042517[/C][C]16.2681759574834[/C][/ROW]
[ROW][C]28[/C][C]181.3[/C][C]175.567955731245[/C][C]5.73204426875478[/C][/ROW]
[ROW][C]29[/C][C]172.4[/C][C]191.802646718712[/C][C]-19.402646718712[/C][/ROW]
[ROW][C]30[/C][C]192[/C][C]164.863473774272[/C][C]27.1365262257281[/C][/ROW]
[ROW][C]31[/C][C]199.3[/C][C]190.949383604587[/C][C]8.35061639541266[/C][/ROW]
[ROW][C]32[/C][C]215.4[/C][C]205.702345114928[/C][C]9.69765488507204[/C][/ROW]
[ROW][C]33[/C][C]214.3[/C][C]195.994258402797[/C][C]18.3057415972030[/C][/ROW]
[ROW][C]34[/C][C]201.5[/C][C]222.934924962338[/C][C]-21.434924962338[/C][/ROW]
[ROW][C]35[/C][C]190.5[/C][C]197.381223101414[/C][C]-6.88122310141443[/C][/ROW]
[ROW][C]36[/C][C]196[/C][C]191.773554538566[/C][C]4.22644546143371[/C][/ROW]
[ROW][C]37[/C][C]215.7[/C][C]205.235897139547[/C][C]10.4641028604525[/C][/ROW]
[ROW][C]38[/C][C]209.4[/C][C]206.861121223847[/C][C]2.5388787761529[/C][/ROW]
[ROW][C]39[/C][C]214.1[/C][C]218.775207632589[/C][C]-4.67520763258923[/C][/ROW]
[ROW][C]40[/C][C]237.8[/C][C]208.622057878781[/C][C]29.1779421212193[/C][/ROW]
[ROW][C]41[/C][C]239[/C][C]247.186330674228[/C][C]-8.1863306742282[/C][/ROW]
[ROW][C]42[/C][C]237.8[/C][C]231.585567729447[/C][C]6.21443227055343[/C][/ROW]
[ROW][C]43[/C][C]251.5[/C][C]236.778527966979[/C][C]14.7214720330210[/C][/ROW]
[ROW][C]44[/C][C]248.8[/C][C]259.315992533638[/C][C]-10.5159925336380[/C][/ROW]
[ROW][C]45[/C][C]215.4[/C][C]228.561073660509[/C][C]-13.1610736605085[/C][/ROW]
[ROW][C]46[/C][C]201.2[/C][C]223.326442855265[/C][C]-22.1264428552645[/C][/ROW]
[ROW][C]47[/C][C]203.1[/C][C]198.173013434133[/C][C]4.92698656586674[/C][/ROW]
[ROW][C]48[/C][C]214.2[/C][C]204.416505407971[/C][C]9.78349459202849[/C][/ROW]
[ROW][C]49[/C][C]188.9[/C][C]224.341293039953[/C][C]-35.4412930399533[/C][/ROW]
[ROW][C]50[/C][C]203[/C][C]183.868147120199[/C][C]19.1318528798014[/C][/ROW]
[ROW][C]51[/C][C]213.3[/C][C]210.250323687874[/C][C]3.04967631212565[/C][/ROW]
[ROW][C]52[/C][C]228.5[/C][C]209.543227719543[/C][C]18.9567722804574[/C][/ROW]
[ROW][C]53[/C][C]228.2[/C][C]235.442320602473[/C][C]-7.2423206024728[/C][/ROW]
[ROW][C]54[/C][C]240.9[/C][C]222.079535109339[/C][C]18.8204648906605[/C][/ROW]
[ROW][C]55[/C][C]258.8[/C][C]239.51220672625[/C][C]19.2877932737498[/C][/ROW]
[ROW][C]56[/C][C]248.5[/C][C]264.519262667103[/C][C]-16.0192626671034[/C][/ROW]
[ROW][C]57[/C][C]269.2[/C][C]228.342639234705[/C][C]40.8573607652953[/C][/ROW]
[ROW][C]58[/C][C]289.6[/C][C]273.686900365972[/C][C]15.9130996340282[/C][/ROW]
[ROW][C]59[/C][C]323.4[/C][C]284.58714912856[/C][C]38.8128508714401[/C][/ROW]
[ROW][C]60[/C][C]317.2[/C][C]323.680321250667[/C][C]-6.48032125066726[/C][/ROW]
[ROW][C]61[/C][C]322.8[/C][C]328.121135389173[/C][C]-5.32113538917292[/C][/ROW]
[ROW][C]62[/C][C]340.9[/C][C]316.821947449979[/C][C]24.0780525500209[/C][/ROW]
[ROW][C]63[/C][C]368.2[/C][C]351.586354518257[/C][C]16.6136454817434[/C][/ROW]
[ROW][C]64[/C][C]388.5[/C][C]362.745133782865[/C][C]25.7548662171350[/C][/ROW]
[ROW][C]65[/C][C]441.2[/C][C]397.375466857159[/C][C]43.824533142841[/C][/ROW]
[ROW][C]66[/C][C]474.3[/C][C]428.681795065001[/C][C]45.6182049349993[/C][/ROW]
[ROW][C]67[/C][C]483.9[/C][C]470.79967917269[/C][C]13.1003208273100[/C][/ROW]
[ROW][C]68[/C][C]417.9[/C][C]491.223973199139[/C][C]-73.3239731991388[/C][/ROW]
[ROW][C]69[/C][C]365.9[/C][C]393.507586970987[/C][C]-27.6075869709869[/C][/ROW]
[ROW][C]70[/C][C]263[/C][C]375.641652170156[/C][C]-112.641652170156[/C][/ROW]
[ROW][C]71[/C][C]199.4[/C][C]269.142256092473[/C][C]-69.7422560924728[/C][/ROW]
[ROW][C]72[/C][C]157.2[/C][C]204.481052461895[/C][C]-47.2810524618951[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41975&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41975&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
13113.894.743544296042419.0564557039576
14113.8108.9480779012344.85192209876554
15123.1118.4639996283984.6360003716015
16125.1119.9072006735075.19279932649277
17137.6132.2768594611825.32314053881791
18134130.2104182120233.78958178797703
19140.3134.2566144533626.04338554663798
20152.1144.7362472766707.36375272332981
21150.6137.99539190678912.6046080932107
22167.3156.94571201512410.3542879848757
23153.2163.396038159528-10.1960381595276
24142154.849623944533-12.8496239445329
25154.4148.5063195515795.89368044842075
26158.5147.86658548152410.6334145184755
27180.9164.63182404251716.2681759574834
28181.3175.5679557312455.73204426875478
29172.4191.802646718712-19.402646718712
30192164.86347377427227.1365262257281
31199.3190.9493836045878.35061639541266
32215.4205.7023451149289.69765488507204
33214.3195.99425840279718.3057415972030
34201.5222.934924962338-21.434924962338
35190.5197.381223101414-6.88122310141443
36196191.7735545385664.22644546143371
37215.7205.23589713954710.4641028604525
38209.4206.8611212238472.5388787761529
39214.1218.775207632589-4.67520763258923
40237.8208.62205787878129.1779421212193
41239247.186330674228-8.1863306742282
42237.8231.5855677294476.21443227055343
43251.5236.77852796697914.7214720330210
44248.8259.315992533638-10.5159925336380
45215.4228.561073660509-13.1610736605085
46201.2223.326442855265-22.1264428552645
47203.1198.1730134341334.92698656586674
48214.2204.4165054079719.78349459202849
49188.9224.341293039953-35.4412930399533
50203183.86814712019919.1318528798014
51213.3210.2503236878743.04967631212565
52228.5209.54322771954318.9567722804574
53228.2235.442320602473-7.2423206024728
54240.9222.07953510933918.8204648906605
55258.8239.5122067262519.2877932737498
56248.5264.519262667103-16.0192626671034
57269.2228.34263923470540.8573607652953
58289.6273.68690036597215.9130996340282
59323.4284.5871491285638.8128508714401
60317.2323.680321250667-6.48032125066726
61322.8328.121135389173-5.32113538917292
62340.9316.82194744997924.0780525500209
63368.2351.58635451825716.6136454817434
64388.5362.74513378286525.7548662171350
65441.2397.37546685715943.824533142841
66474.3428.68179506500145.6182049349993
67483.9470.7996791726913.1003208273100
68417.9491.223973199139-73.3239731991388
69365.9393.507586970987-27.6075869709869
70263375.641652170156-112.641652170156
71199.4269.142256092473-69.7422560924728
72157.2204.481052461895-47.2810524618951







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73166.06560235588112.580258339886219.550946371874
74163.85575527461689.8080827077046237.903427841527
75169.56444709822581.0666452948311258.062248901619
76167.88475800109264.2499565571834271.519559445001
77173.00543477659160.0763456583152285.934523894867
78169.31469542589346.5561396524902292.073251199296
79168.40614403672835.8288892855833300.983398787873
80168.74067261886734.9129216350159302.568423602718
81157.99983405878915.9586367148078300.041031402771
82157.1717280600687.1164318170824307.227024303054
83156.742167049015-1.67086003569091315.155194133721
84157.2NANA

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 166.06560235588 & 112.580258339886 & 219.550946371874 \tabularnewline
74 & 163.855755274616 & 89.8080827077046 & 237.903427841527 \tabularnewline
75 & 169.564447098225 & 81.0666452948311 & 258.062248901619 \tabularnewline
76 & 167.884758001092 & 64.2499565571834 & 271.519559445001 \tabularnewline
77 & 173.005434776591 & 60.0763456583152 & 285.934523894867 \tabularnewline
78 & 169.314695425893 & 46.5561396524902 & 292.073251199296 \tabularnewline
79 & 168.406144036728 & 35.8288892855833 & 300.983398787873 \tabularnewline
80 & 168.740672618867 & 34.9129216350159 & 302.568423602718 \tabularnewline
81 & 157.999834058789 & 15.9586367148078 & 300.041031402771 \tabularnewline
82 & 157.171728060068 & 7.1164318170824 & 307.227024303054 \tabularnewline
83 & 156.742167049015 & -1.67086003569091 & 315.155194133721 \tabularnewline
84 & 157.2 & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41975&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]166.06560235588[/C][C]112.580258339886[/C][C]219.550946371874[/C][/ROW]
[ROW][C]74[/C][C]163.855755274616[/C][C]89.8080827077046[/C][C]237.903427841527[/C][/ROW]
[ROW][C]75[/C][C]169.564447098225[/C][C]81.0666452948311[/C][C]258.062248901619[/C][/ROW]
[ROW][C]76[/C][C]167.884758001092[/C][C]64.2499565571834[/C][C]271.519559445001[/C][/ROW]
[ROW][C]77[/C][C]173.005434776591[/C][C]60.0763456583152[/C][C]285.934523894867[/C][/ROW]
[ROW][C]78[/C][C]169.314695425893[/C][C]46.5561396524902[/C][C]292.073251199296[/C][/ROW]
[ROW][C]79[/C][C]168.406144036728[/C][C]35.8288892855833[/C][C]300.983398787873[/C][/ROW]
[ROW][C]80[/C][C]168.740672618867[/C][C]34.9129216350159[/C][C]302.568423602718[/C][/ROW]
[ROW][C]81[/C][C]157.999834058789[/C][C]15.9586367148078[/C][C]300.041031402771[/C][/ROW]
[ROW][C]82[/C][C]157.171728060068[/C][C]7.1164318170824[/C][C]307.227024303054[/C][/ROW]
[ROW][C]83[/C][C]156.742167049015[/C][C]-1.67086003569091[/C][C]315.155194133721[/C][/ROW]
[ROW][C]84[/C][C]157.2[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41975&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41975&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
73166.06560235588112.580258339886219.550946371874
74163.85575527461689.8080827077046237.903427841527
75169.56444709822581.0666452948311258.062248901619
76167.88475800109264.2499565571834271.519559445001
77173.00543477659160.0763456583152285.934523894867
78169.31469542589346.5561396524902292.073251199296
79168.40614403672835.8288892855833300.983398787873
80168.74067261886734.9129216350159302.568423602718
81157.99983405878915.9586367148078300.041031402771
82157.1717280600687.1164318170824307.227024303054
83156.742167049015-1.67086003569091315.155194133721
84157.2NANA



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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')