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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 02 Jun 2009 08:16:46 -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/02/t1243952266jl5dr8qx9plle5i.htm/, Retrieved Fri, 10 May 2024 14:46:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41227, Retrieved Fri, 10 May 2024 14:46:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opgave 10-oefenin...] [2009-06-02 14:16:46] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
356445
291705
310900
332340
257166
334551
317365
270863
317904
423141
317684
411063
371161
299023
326964
327146
303447
351994
320317
257151
320274
476982
301723
363567
338831
265802
307691
334207
303127
318863
292123
245155
284794
391604
304982
369552
356021
247577
277885
294032
310845
311023
298462
234188
297478
371017
291128
316374
326001
222302
227424
255428
278250
280335
241894
255075
255115
319482
270694
300209
283531
218924
236466
267980
219994
256052
230444
200778
240960
277837
209776
232065




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41227&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41227&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41227&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.147667823524466
beta0.124242853591504
gamma0.292533149520714

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.147667823524466 \tabularnewline
beta & 0.124242853591504 \tabularnewline
gamma & 0.292533149520714 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41227&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]0.147667823524466[/C][/ROW]
[ROW][C]beta[/C][C]0.124242853591504[/C][/ROW]
[ROW][C]gamma[/C][C]0.292533149520714[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41227&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41227&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
alpha0.147667823524466
beta0.124242853591504
gamma0.292533149520714







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13371161361157.91509030910003.0849096908
14299023293480.2232094575542.77679054317
15326964323388.0427461083575.95725389244
16327146323045.4507206064100.54927939392
17303447299982.3609681863464.63903181400
18351994352748.677695795-754.67769579502
19320317326917.034848067-6600.03484806692
20257151278431.175896412-21280.1758964119
21320274322885.822104651-2611.82210465142
22476982429590.00061524947391.9993847507
23301723327430.411907507-25707.411907507
24363567416559.126517708-52992.1265177078
25338831370781.708270665-31950.7082706649
26265802294297.353265327-28495.3532653265
27307691316049.58595791-8358.5859579101
28334207311809.85800480422397.1419951958
29303127290189.70072249512937.2992775055
30318863339838.660850376-20975.6608503757
31292123308708.708341529-16585.7083415294
32245155255999.928903402-10844.9289034021
33284794301593.359756330-16799.3597563303
34391604406909.956302716-15305.9563027158
35304982286634.18898571818347.8110142816
36369552364816.4674734924735.53252650757
37356021333449.31945737622571.6805426237
38247577269362.671005350-21785.6710053502
39277885294653.697907713-16768.6979077131
40294032295671.763292971-1639.76329297089
41310845269139.19554495941705.8044550411
42311023311206.657278730-183.657278730476
43298462285577.40279554812884.5972044519
44234188241210.153113655-7022.15311365537
45297478284077.49906606413400.5009339358
46371017392163.73739877-21146.7373987695
47291128283399.9974027197728.00259728072
48316374355076.83749303-38702.8374930298
49326001322936.1205282193064.87947178097
50222302248886.550308959-26584.5503089590
51227424272390.39427674-44966.39427674
52255428271352.536469898-15924.5364698984
53278250253349.0613199724900.9386800301
54280335278183.8848708832151.11512911710
55241894256885.912955354-14991.9129553536
56255075208045.47880117647029.5211988241
57255115258255.514490803-3140.51449080318
58319482343012.819417679-23530.8194176793
59270694251177.37400412719516.6259958728
60300209304969.700391699-4760.70039169939
61283531289256.273223095-5725.27322309453
62218924214825.6590619114098.34093808889
63236466235713.103595418752.896404582309
64267980248404.32991008719575.6700899135
65219994247414.126846901-27420.1268469013
66256052258092.299543123-2040.29954312256
67230444234149.675240082-3705.67524008173
68200778204689.920864555-3911.92086455479
69240960231211.1590050879748.84099491325
70277837304676.136356123-26839.1363561229
71209776230253.009807971-20477.0098079710
72232065265177.70131122-33112.7013112198

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 371161 & 361157.915090309 & 10003.0849096908 \tabularnewline
14 & 299023 & 293480.223209457 & 5542.77679054317 \tabularnewline
15 & 326964 & 323388.042746108 & 3575.95725389244 \tabularnewline
16 & 327146 & 323045.450720606 & 4100.54927939392 \tabularnewline
17 & 303447 & 299982.360968186 & 3464.63903181400 \tabularnewline
18 & 351994 & 352748.677695795 & -754.67769579502 \tabularnewline
19 & 320317 & 326917.034848067 & -6600.03484806692 \tabularnewline
20 & 257151 & 278431.175896412 & -21280.1758964119 \tabularnewline
21 & 320274 & 322885.822104651 & -2611.82210465142 \tabularnewline
22 & 476982 & 429590.000615249 & 47391.9993847507 \tabularnewline
23 & 301723 & 327430.411907507 & -25707.411907507 \tabularnewline
24 & 363567 & 416559.126517708 & -52992.1265177078 \tabularnewline
25 & 338831 & 370781.708270665 & -31950.7082706649 \tabularnewline
26 & 265802 & 294297.353265327 & -28495.3532653265 \tabularnewline
27 & 307691 & 316049.58595791 & -8358.5859579101 \tabularnewline
28 & 334207 & 311809.858004804 & 22397.1419951958 \tabularnewline
29 & 303127 & 290189.700722495 & 12937.2992775055 \tabularnewline
30 & 318863 & 339838.660850376 & -20975.6608503757 \tabularnewline
31 & 292123 & 308708.708341529 & -16585.7083415294 \tabularnewline
32 & 245155 & 255999.928903402 & -10844.9289034021 \tabularnewline
33 & 284794 & 301593.359756330 & -16799.3597563303 \tabularnewline
34 & 391604 & 406909.956302716 & -15305.9563027158 \tabularnewline
35 & 304982 & 286634.188985718 & 18347.8110142816 \tabularnewline
36 & 369552 & 364816.467473492 & 4735.53252650757 \tabularnewline
37 & 356021 & 333449.319457376 & 22571.6805426237 \tabularnewline
38 & 247577 & 269362.671005350 & -21785.6710053502 \tabularnewline
39 & 277885 & 294653.697907713 & -16768.6979077131 \tabularnewline
40 & 294032 & 295671.763292971 & -1639.76329297089 \tabularnewline
41 & 310845 & 269139.195544959 & 41705.8044550411 \tabularnewline
42 & 311023 & 311206.657278730 & -183.657278730476 \tabularnewline
43 & 298462 & 285577.402795548 & 12884.5972044519 \tabularnewline
44 & 234188 & 241210.153113655 & -7022.15311365537 \tabularnewline
45 & 297478 & 284077.499066064 & 13400.5009339358 \tabularnewline
46 & 371017 & 392163.73739877 & -21146.7373987695 \tabularnewline
47 & 291128 & 283399.997402719 & 7728.00259728072 \tabularnewline
48 & 316374 & 355076.83749303 & -38702.8374930298 \tabularnewline
49 & 326001 & 322936.120528219 & 3064.87947178097 \tabularnewline
50 & 222302 & 248886.550308959 & -26584.5503089590 \tabularnewline
51 & 227424 & 272390.39427674 & -44966.39427674 \tabularnewline
52 & 255428 & 271352.536469898 & -15924.5364698984 \tabularnewline
53 & 278250 & 253349.06131997 & 24900.9386800301 \tabularnewline
54 & 280335 & 278183.884870883 & 2151.11512911710 \tabularnewline
55 & 241894 & 256885.912955354 & -14991.9129553536 \tabularnewline
56 & 255075 & 208045.478801176 & 47029.5211988241 \tabularnewline
57 & 255115 & 258255.514490803 & -3140.51449080318 \tabularnewline
58 & 319482 & 343012.819417679 & -23530.8194176793 \tabularnewline
59 & 270694 & 251177.374004127 & 19516.6259958728 \tabularnewline
60 & 300209 & 304969.700391699 & -4760.70039169939 \tabularnewline
61 & 283531 & 289256.273223095 & -5725.27322309453 \tabularnewline
62 & 218924 & 214825.659061911 & 4098.34093808889 \tabularnewline
63 & 236466 & 235713.103595418 & 752.896404582309 \tabularnewline
64 & 267980 & 248404.329910087 & 19575.6700899135 \tabularnewline
65 & 219994 & 247414.126846901 & -27420.1268469013 \tabularnewline
66 & 256052 & 258092.299543123 & -2040.29954312256 \tabularnewline
67 & 230444 & 234149.675240082 & -3705.67524008173 \tabularnewline
68 & 200778 & 204689.920864555 & -3911.92086455479 \tabularnewline
69 & 240960 & 231211.159005087 & 9748.84099491325 \tabularnewline
70 & 277837 & 304676.136356123 & -26839.1363561229 \tabularnewline
71 & 209776 & 230253.009807971 & -20477.0098079710 \tabularnewline
72 & 232065 & 265177.70131122 & -33112.7013112198 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41227&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]371161[/C][C]361157.915090309[/C][C]10003.0849096908[/C][/ROW]
[ROW][C]14[/C][C]299023[/C][C]293480.223209457[/C][C]5542.77679054317[/C][/ROW]
[ROW][C]15[/C][C]326964[/C][C]323388.042746108[/C][C]3575.95725389244[/C][/ROW]
[ROW][C]16[/C][C]327146[/C][C]323045.450720606[/C][C]4100.54927939392[/C][/ROW]
[ROW][C]17[/C][C]303447[/C][C]299982.360968186[/C][C]3464.63903181400[/C][/ROW]
[ROW][C]18[/C][C]351994[/C][C]352748.677695795[/C][C]-754.67769579502[/C][/ROW]
[ROW][C]19[/C][C]320317[/C][C]326917.034848067[/C][C]-6600.03484806692[/C][/ROW]
[ROW][C]20[/C][C]257151[/C][C]278431.175896412[/C][C]-21280.1758964119[/C][/ROW]
[ROW][C]21[/C][C]320274[/C][C]322885.822104651[/C][C]-2611.82210465142[/C][/ROW]
[ROW][C]22[/C][C]476982[/C][C]429590.000615249[/C][C]47391.9993847507[/C][/ROW]
[ROW][C]23[/C][C]301723[/C][C]327430.411907507[/C][C]-25707.411907507[/C][/ROW]
[ROW][C]24[/C][C]363567[/C][C]416559.126517708[/C][C]-52992.1265177078[/C][/ROW]
[ROW][C]25[/C][C]338831[/C][C]370781.708270665[/C][C]-31950.7082706649[/C][/ROW]
[ROW][C]26[/C][C]265802[/C][C]294297.353265327[/C][C]-28495.3532653265[/C][/ROW]
[ROW][C]27[/C][C]307691[/C][C]316049.58595791[/C][C]-8358.5859579101[/C][/ROW]
[ROW][C]28[/C][C]334207[/C][C]311809.858004804[/C][C]22397.1419951958[/C][/ROW]
[ROW][C]29[/C][C]303127[/C][C]290189.700722495[/C][C]12937.2992775055[/C][/ROW]
[ROW][C]30[/C][C]318863[/C][C]339838.660850376[/C][C]-20975.6608503757[/C][/ROW]
[ROW][C]31[/C][C]292123[/C][C]308708.708341529[/C][C]-16585.7083415294[/C][/ROW]
[ROW][C]32[/C][C]245155[/C][C]255999.928903402[/C][C]-10844.9289034021[/C][/ROW]
[ROW][C]33[/C][C]284794[/C][C]301593.359756330[/C][C]-16799.3597563303[/C][/ROW]
[ROW][C]34[/C][C]391604[/C][C]406909.956302716[/C][C]-15305.9563027158[/C][/ROW]
[ROW][C]35[/C][C]304982[/C][C]286634.188985718[/C][C]18347.8110142816[/C][/ROW]
[ROW][C]36[/C][C]369552[/C][C]364816.467473492[/C][C]4735.53252650757[/C][/ROW]
[ROW][C]37[/C][C]356021[/C][C]333449.319457376[/C][C]22571.6805426237[/C][/ROW]
[ROW][C]38[/C][C]247577[/C][C]269362.671005350[/C][C]-21785.6710053502[/C][/ROW]
[ROW][C]39[/C][C]277885[/C][C]294653.697907713[/C][C]-16768.6979077131[/C][/ROW]
[ROW][C]40[/C][C]294032[/C][C]295671.763292971[/C][C]-1639.76329297089[/C][/ROW]
[ROW][C]41[/C][C]310845[/C][C]269139.195544959[/C][C]41705.8044550411[/C][/ROW]
[ROW][C]42[/C][C]311023[/C][C]311206.657278730[/C][C]-183.657278730476[/C][/ROW]
[ROW][C]43[/C][C]298462[/C][C]285577.402795548[/C][C]12884.5972044519[/C][/ROW]
[ROW][C]44[/C][C]234188[/C][C]241210.153113655[/C][C]-7022.15311365537[/C][/ROW]
[ROW][C]45[/C][C]297478[/C][C]284077.499066064[/C][C]13400.5009339358[/C][/ROW]
[ROW][C]46[/C][C]371017[/C][C]392163.73739877[/C][C]-21146.7373987695[/C][/ROW]
[ROW][C]47[/C][C]291128[/C][C]283399.997402719[/C][C]7728.00259728072[/C][/ROW]
[ROW][C]48[/C][C]316374[/C][C]355076.83749303[/C][C]-38702.8374930298[/C][/ROW]
[ROW][C]49[/C][C]326001[/C][C]322936.120528219[/C][C]3064.87947178097[/C][/ROW]
[ROW][C]50[/C][C]222302[/C][C]248886.550308959[/C][C]-26584.5503089590[/C][/ROW]
[ROW][C]51[/C][C]227424[/C][C]272390.39427674[/C][C]-44966.39427674[/C][/ROW]
[ROW][C]52[/C][C]255428[/C][C]271352.536469898[/C][C]-15924.5364698984[/C][/ROW]
[ROW][C]53[/C][C]278250[/C][C]253349.06131997[/C][C]24900.9386800301[/C][/ROW]
[ROW][C]54[/C][C]280335[/C][C]278183.884870883[/C][C]2151.11512911710[/C][/ROW]
[ROW][C]55[/C][C]241894[/C][C]256885.912955354[/C][C]-14991.9129553536[/C][/ROW]
[ROW][C]56[/C][C]255075[/C][C]208045.478801176[/C][C]47029.5211988241[/C][/ROW]
[ROW][C]57[/C][C]255115[/C][C]258255.514490803[/C][C]-3140.51449080318[/C][/ROW]
[ROW][C]58[/C][C]319482[/C][C]343012.819417679[/C][C]-23530.8194176793[/C][/ROW]
[ROW][C]59[/C][C]270694[/C][C]251177.374004127[/C][C]19516.6259958728[/C][/ROW]
[ROW][C]60[/C][C]300209[/C][C]304969.700391699[/C][C]-4760.70039169939[/C][/ROW]
[ROW][C]61[/C][C]283531[/C][C]289256.273223095[/C][C]-5725.27322309453[/C][/ROW]
[ROW][C]62[/C][C]218924[/C][C]214825.659061911[/C][C]4098.34093808889[/C][/ROW]
[ROW][C]63[/C][C]236466[/C][C]235713.103595418[/C][C]752.896404582309[/C][/ROW]
[ROW][C]64[/C][C]267980[/C][C]248404.329910087[/C][C]19575.6700899135[/C][/ROW]
[ROW][C]65[/C][C]219994[/C][C]247414.126846901[/C][C]-27420.1268469013[/C][/ROW]
[ROW][C]66[/C][C]256052[/C][C]258092.299543123[/C][C]-2040.29954312256[/C][/ROW]
[ROW][C]67[/C][C]230444[/C][C]234149.675240082[/C][C]-3705.67524008173[/C][/ROW]
[ROW][C]68[/C][C]200778[/C][C]204689.920864555[/C][C]-3911.92086455479[/C][/ROW]
[ROW][C]69[/C][C]240960[/C][C]231211.159005087[/C][C]9748.84099491325[/C][/ROW]
[ROW][C]70[/C][C]277837[/C][C]304676.136356123[/C][C]-26839.1363561229[/C][/ROW]
[ROW][C]71[/C][C]209776[/C][C]230253.009807971[/C][C]-20477.0098079710[/C][/ROW]
[ROW][C]72[/C][C]232065[/C][C]265177.70131122[/C][C]-33112.7013112198[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41227&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41227&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
13371161361157.91509030910003.0849096908
14299023293480.2232094575542.77679054317
15326964323388.0427461083575.95725389244
16327146323045.4507206064100.54927939392
17303447299982.3609681863464.63903181400
18351994352748.677695795-754.67769579502
19320317326917.034848067-6600.03484806692
20257151278431.175896412-21280.1758964119
21320274322885.822104651-2611.82210465142
22476982429590.00061524947391.9993847507
23301723327430.411907507-25707.411907507
24363567416559.126517708-52992.1265177078
25338831370781.708270665-31950.7082706649
26265802294297.353265327-28495.3532653265
27307691316049.58595791-8358.5859579101
28334207311809.85800480422397.1419951958
29303127290189.70072249512937.2992775055
30318863339838.660850376-20975.6608503757
31292123308708.708341529-16585.7083415294
32245155255999.928903402-10844.9289034021
33284794301593.359756330-16799.3597563303
34391604406909.956302716-15305.9563027158
35304982286634.18898571818347.8110142816
36369552364816.4674734924735.53252650757
37356021333449.31945737622571.6805426237
38247577269362.671005350-21785.6710053502
39277885294653.697907713-16768.6979077131
40294032295671.763292971-1639.76329297089
41310845269139.19554495941705.8044550411
42311023311206.657278730-183.657278730476
43298462285577.40279554812884.5972044519
44234188241210.153113655-7022.15311365537
45297478284077.49906606413400.5009339358
46371017392163.73739877-21146.7373987695
47291128283399.9974027197728.00259728072
48316374355076.83749303-38702.8374930298
49326001322936.1205282193064.87947178097
50222302248886.550308959-26584.5503089590
51227424272390.39427674-44966.39427674
52255428271352.536469898-15924.5364698984
53278250253349.0613199724900.9386800301
54280335278183.8848708832151.11512911710
55241894256885.912955354-14991.9129553536
56255075208045.47880117647029.5211988241
57255115258255.514490803-3140.51449080318
58319482343012.819417679-23530.8194176793
59270694251177.37400412719516.6259958728
60300209304969.700391699-4760.70039169939
61283531289256.273223095-5725.27322309453
62218924214825.6590619114098.34093808889
63236466235713.103595418752.896404582309
64267980248404.32991008719575.6700899135
65219994247414.126846901-27420.1268469013
66256052258092.299543123-2040.29954312256
67230444234149.675240082-3705.67524008173
68200778204689.920864555-3911.92086455479
69240960231211.1590050879748.84099491325
70277837304676.136356123-26839.1363561229
71209776230253.009807971-20477.0098079710
72232065265177.70131122-33112.7013112198







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73245284.756237227229107.042437408261462.470037046
74183101.802187382166130.785475117200072.818899648
75197950.651322263179082.590229975216818.712414552
76210632.287350266189419.6395728231844.935127732
77195738.26560289173250.808965976218225.722239804
78211446.175941396185578.812880892237313.539001899
79190121.875229136163585.742718653216658.00773962
80165123.004770323138597.231209813191648.778330833
81188421.627648825156498.093646389220345.16165126
82236652.735908474194534.003945037278771.467871911
83179832.658266007143315.356784557216349.959747457
84206684.005369926164914.322234310248453.688505542

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 245284.756237227 & 229107.042437408 & 261462.470037046 \tabularnewline
74 & 183101.802187382 & 166130.785475117 & 200072.818899648 \tabularnewline
75 & 197950.651322263 & 179082.590229975 & 216818.712414552 \tabularnewline
76 & 210632.287350266 & 189419.6395728 & 231844.935127732 \tabularnewline
77 & 195738.26560289 & 173250.808965976 & 218225.722239804 \tabularnewline
78 & 211446.175941396 & 185578.812880892 & 237313.539001899 \tabularnewline
79 & 190121.875229136 & 163585.742718653 & 216658.00773962 \tabularnewline
80 & 165123.004770323 & 138597.231209813 & 191648.778330833 \tabularnewline
81 & 188421.627648825 & 156498.093646389 & 220345.16165126 \tabularnewline
82 & 236652.735908474 & 194534.003945037 & 278771.467871911 \tabularnewline
83 & 179832.658266007 & 143315.356784557 & 216349.959747457 \tabularnewline
84 & 206684.005369926 & 164914.322234310 & 248453.688505542 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41227&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]245284.756237227[/C][C]229107.042437408[/C][C]261462.470037046[/C][/ROW]
[ROW][C]74[/C][C]183101.802187382[/C][C]166130.785475117[/C][C]200072.818899648[/C][/ROW]
[ROW][C]75[/C][C]197950.651322263[/C][C]179082.590229975[/C][C]216818.712414552[/C][/ROW]
[ROW][C]76[/C][C]210632.287350266[/C][C]189419.6395728[/C][C]231844.935127732[/C][/ROW]
[ROW][C]77[/C][C]195738.26560289[/C][C]173250.808965976[/C][C]218225.722239804[/C][/ROW]
[ROW][C]78[/C][C]211446.175941396[/C][C]185578.812880892[/C][C]237313.539001899[/C][/ROW]
[ROW][C]79[/C][C]190121.875229136[/C][C]163585.742718653[/C][C]216658.00773962[/C][/ROW]
[ROW][C]80[/C][C]165123.004770323[/C][C]138597.231209813[/C][C]191648.778330833[/C][/ROW]
[ROW][C]81[/C][C]188421.627648825[/C][C]156498.093646389[/C][C]220345.16165126[/C][/ROW]
[ROW][C]82[/C][C]236652.735908474[/C][C]194534.003945037[/C][C]278771.467871911[/C][/ROW]
[ROW][C]83[/C][C]179832.658266007[/C][C]143315.356784557[/C][C]216349.959747457[/C][/ROW]
[ROW][C]84[/C][C]206684.005369926[/C][C]164914.322234310[/C][C]248453.688505542[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41227&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41227&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
73245284.756237227229107.042437408261462.470037046
74183101.802187382166130.785475117200072.818899648
75197950.651322263179082.590229975216818.712414552
76210632.287350266189419.6395728231844.935127732
77195738.26560289173250.808965976218225.722239804
78211446.175941396185578.812880892237313.539001899
79190121.875229136163585.742718653216658.00773962
80165123.004770323138597.231209813191648.778330833
81188421.627648825156498.093646389220345.16165126
82236652.735908474194534.003945037278771.467871911
83179832.658266007143315.356784557216349.959747457
84206684.005369926164914.322234310248453.688505542



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')