Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 16 Dec 2016 16:17:32 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/16/t1481902668j3rokh2z5upo1z1.htm/, Retrieved Thu, 02 May 2024 19:51:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300373, Retrieved Thu, 02 May 2024 19:51:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2016-12-16 15:17:32] [9b171b8beffcb53bb49a1e7c02b89c12] [Current]
Feedback Forum

Post a new message
Dataseries X:
4865
5025
5135
5235
5290
5335
5350
5360
5350
5320
5285
5235
5185
5120
5065
4995
4990
4960
4955
4960
4965
4980
5005
5040
5095
5165
5215
5275
5320
5370
5445
5535
5585
5650
5695
5715
5935
6010
6085
6155
6210
6270
6370
6440
6490
6580
6655
6695
6905
7070
7200
7315
7225
7300
7335
7340
7320
7275
7220
7160
7015
6870
6610
6430
6330
6240
6210
6185
6185
6185
6205
6250
6310
6405
6515
6655
6795
6945
7100
7260




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300373&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300373&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.862699044346074
beta0.914981357758945
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.862699044346074 \tabularnewline
beta & 0.914981357758945 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300373&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]0.862699044346074[/C][/ROW]
[ROW][C]beta[/C][C]0.914981357758945[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300373&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
alpha0.862699044346074
beta0.914981357758945
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
351355185-50
452355262.39737063604-27.3973706360393
552905337.66779644547-47.6677964454666
653355357.82420127257-22.8242012725696
753505381.39678777433-31.3967877743307
853605372.79064642706-12.7906464270609
953505370.13966336544-20.1396633654422
1053205345.25137578321-25.2513757832075
1152855296.02095584478-11.0209558447841
1252355250.36767504529-15.3676750452923
1351855188.83395500183-3.8339550018336
1451205134.22401825348-14.2240182534788
1550655059.422804664115.57719533589352
1649955006.1064580132-11.106458013197
1749904929.6302175796760.3697824203291
1849604962.46956310119-2.4695631011864
1949554939.1481069105415.8518930894606
2049604944.1453014389615.8546985610446
2149654961.659878726323.34012127367623
2249804971.014678708698.9853212913149
2350054992.332182547112.6678174529006
2450405026.825958892613.1740411074006
2550955072.1554299239422.8445700760649
2651655143.8600993811821.1399006188167
2752155230.78100757746-15.7810075774551
2852755273.39348931411.60651068590414
2953205332.27427134177-12.2742713417665
3053705369.491376408840.50862359115763
3154455418.1377565522326.862243447772
3255355510.723186397624.2768136023951
3355855620.24115721433-35.2411572143283
3456505650.59529918185-0.595299181854898
3556955710.36848824624-15.3684882462449
3657155745.26569057614-30.2656905761414
3759355743.42076060701191.579239392989
3860106084.18499108256-74.1849910825595
3960856137.116488362-52.1164883620013
4061556167.94812711484-12.9481271148406
4162106222.34962367176-12.3496236717592
4262706267.519229377872.48077062213179
4363706327.4412071483842.5587928516234
4464406455.53239031593-15.5323903159333
4564906521.24781795381-31.2478179538057
4665806548.7399853762331.2600146237719
4766556654.832803522890.167196477113066
4866956734.23385429997-39.2338542999714
4969056748.67427433083156.32572566917
5070707055.2200225223414.779977477664
5172007251.32101660425-51.3210166042454
5273157349.88631997788-34.8863199778762
5372257435.09218015076-210.092180150758
5473007203.3111054441296.6888945558794
5573357312.5114921903322.4885078096704
5673407375.45065951532-35.450659515318
5773207360.4226588711-40.422658871099
5872757309.19755013948-34.1975501394791
5972207236.34887939935-16.3488793993465
6071607165.99319397271-5.99319397271393
6170157099.84059957134-84.8405995713392
6268706898.69719585466-28.6971958546574
6366106723.33641965057-113.336419650574
6464306385.4949615690244.505038430977
6563306218.95338829648111.046611703516
6662406197.4722030743442.5277969256631
6762106150.4493690000259.5506309999773
6861856165.1186191774219.8813808225823
6961856161.2586835275623.7413164724449
7061856179.469002945495.53099705451223
7162056186.3352093252718.6647906747348
7262506219.2650455570530.7349544429453
7363106286.8685457182123.1314542817927
7464056366.1714089471838.828591052823
7565156489.6656629821325.3343370178691
7666556621.5161856398833.4838143601164
7767956786.827822108788.17217789121514
7869456936.753871557048.24612844295916
7971007093.252828777556.74717122245329
8072607253.784540545636.21545945437265

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 5135 & 5185 & -50 \tabularnewline
4 & 5235 & 5262.39737063604 & -27.3973706360393 \tabularnewline
5 & 5290 & 5337.66779644547 & -47.6677964454666 \tabularnewline
6 & 5335 & 5357.82420127257 & -22.8242012725696 \tabularnewline
7 & 5350 & 5381.39678777433 & -31.3967877743307 \tabularnewline
8 & 5360 & 5372.79064642706 & -12.7906464270609 \tabularnewline
9 & 5350 & 5370.13966336544 & -20.1396633654422 \tabularnewline
10 & 5320 & 5345.25137578321 & -25.2513757832075 \tabularnewline
11 & 5285 & 5296.02095584478 & -11.0209558447841 \tabularnewline
12 & 5235 & 5250.36767504529 & -15.3676750452923 \tabularnewline
13 & 5185 & 5188.83395500183 & -3.8339550018336 \tabularnewline
14 & 5120 & 5134.22401825348 & -14.2240182534788 \tabularnewline
15 & 5065 & 5059.42280466411 & 5.57719533589352 \tabularnewline
16 & 4995 & 5006.1064580132 & -11.106458013197 \tabularnewline
17 & 4990 & 4929.63021757967 & 60.3697824203291 \tabularnewline
18 & 4960 & 4962.46956310119 & -2.4695631011864 \tabularnewline
19 & 4955 & 4939.14810691054 & 15.8518930894606 \tabularnewline
20 & 4960 & 4944.14530143896 & 15.8546985610446 \tabularnewline
21 & 4965 & 4961.65987872632 & 3.34012127367623 \tabularnewline
22 & 4980 & 4971.01467870869 & 8.9853212913149 \tabularnewline
23 & 5005 & 4992.3321825471 & 12.6678174529006 \tabularnewline
24 & 5040 & 5026.8259588926 & 13.1740411074006 \tabularnewline
25 & 5095 & 5072.15542992394 & 22.8445700760649 \tabularnewline
26 & 5165 & 5143.86009938118 & 21.1399006188167 \tabularnewline
27 & 5215 & 5230.78100757746 & -15.7810075774551 \tabularnewline
28 & 5275 & 5273.3934893141 & 1.60651068590414 \tabularnewline
29 & 5320 & 5332.27427134177 & -12.2742713417665 \tabularnewline
30 & 5370 & 5369.49137640884 & 0.50862359115763 \tabularnewline
31 & 5445 & 5418.13775655223 & 26.862243447772 \tabularnewline
32 & 5535 & 5510.7231863976 & 24.2768136023951 \tabularnewline
33 & 5585 & 5620.24115721433 & -35.2411572143283 \tabularnewline
34 & 5650 & 5650.59529918185 & -0.595299181854898 \tabularnewline
35 & 5695 & 5710.36848824624 & -15.3684882462449 \tabularnewline
36 & 5715 & 5745.26569057614 & -30.2656905761414 \tabularnewline
37 & 5935 & 5743.42076060701 & 191.579239392989 \tabularnewline
38 & 6010 & 6084.18499108256 & -74.1849910825595 \tabularnewline
39 & 6085 & 6137.116488362 & -52.1164883620013 \tabularnewline
40 & 6155 & 6167.94812711484 & -12.9481271148406 \tabularnewline
41 & 6210 & 6222.34962367176 & -12.3496236717592 \tabularnewline
42 & 6270 & 6267.51922937787 & 2.48077062213179 \tabularnewline
43 & 6370 & 6327.44120714838 & 42.5587928516234 \tabularnewline
44 & 6440 & 6455.53239031593 & -15.5323903159333 \tabularnewline
45 & 6490 & 6521.24781795381 & -31.2478179538057 \tabularnewline
46 & 6580 & 6548.73998537623 & 31.2600146237719 \tabularnewline
47 & 6655 & 6654.83280352289 & 0.167196477113066 \tabularnewline
48 & 6695 & 6734.23385429997 & -39.2338542999714 \tabularnewline
49 & 6905 & 6748.67427433083 & 156.32572566917 \tabularnewline
50 & 7070 & 7055.22002252234 & 14.779977477664 \tabularnewline
51 & 7200 & 7251.32101660425 & -51.3210166042454 \tabularnewline
52 & 7315 & 7349.88631997788 & -34.8863199778762 \tabularnewline
53 & 7225 & 7435.09218015076 & -210.092180150758 \tabularnewline
54 & 7300 & 7203.31110544412 & 96.6888945558794 \tabularnewline
55 & 7335 & 7312.51149219033 & 22.4885078096704 \tabularnewline
56 & 7340 & 7375.45065951532 & -35.450659515318 \tabularnewline
57 & 7320 & 7360.4226588711 & -40.422658871099 \tabularnewline
58 & 7275 & 7309.19755013948 & -34.1975501394791 \tabularnewline
59 & 7220 & 7236.34887939935 & -16.3488793993465 \tabularnewline
60 & 7160 & 7165.99319397271 & -5.99319397271393 \tabularnewline
61 & 7015 & 7099.84059957134 & -84.8405995713392 \tabularnewline
62 & 6870 & 6898.69719585466 & -28.6971958546574 \tabularnewline
63 & 6610 & 6723.33641965057 & -113.336419650574 \tabularnewline
64 & 6430 & 6385.49496156902 & 44.505038430977 \tabularnewline
65 & 6330 & 6218.95338829648 & 111.046611703516 \tabularnewline
66 & 6240 & 6197.47220307434 & 42.5277969256631 \tabularnewline
67 & 6210 & 6150.44936900002 & 59.5506309999773 \tabularnewline
68 & 6185 & 6165.11861917742 & 19.8813808225823 \tabularnewline
69 & 6185 & 6161.25868352756 & 23.7413164724449 \tabularnewline
70 & 6185 & 6179.46900294549 & 5.53099705451223 \tabularnewline
71 & 6205 & 6186.33520932527 & 18.6647906747348 \tabularnewline
72 & 6250 & 6219.26504555705 & 30.7349544429453 \tabularnewline
73 & 6310 & 6286.86854571821 & 23.1314542817927 \tabularnewline
74 & 6405 & 6366.17140894718 & 38.828591052823 \tabularnewline
75 & 6515 & 6489.66566298213 & 25.3343370178691 \tabularnewline
76 & 6655 & 6621.51618563988 & 33.4838143601164 \tabularnewline
77 & 6795 & 6786.82782210878 & 8.17217789121514 \tabularnewline
78 & 6945 & 6936.75387155704 & 8.24612844295916 \tabularnewline
79 & 7100 & 7093.25282877755 & 6.74717122245329 \tabularnewline
80 & 7260 & 7253.78454054563 & 6.21545945437265 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300373&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]3[/C][C]5135[/C][C]5185[/C][C]-50[/C][/ROW]
[ROW][C]4[/C][C]5235[/C][C]5262.39737063604[/C][C]-27.3973706360393[/C][/ROW]
[ROW][C]5[/C][C]5290[/C][C]5337.66779644547[/C][C]-47.6677964454666[/C][/ROW]
[ROW][C]6[/C][C]5335[/C][C]5357.82420127257[/C][C]-22.8242012725696[/C][/ROW]
[ROW][C]7[/C][C]5350[/C][C]5381.39678777433[/C][C]-31.3967877743307[/C][/ROW]
[ROW][C]8[/C][C]5360[/C][C]5372.79064642706[/C][C]-12.7906464270609[/C][/ROW]
[ROW][C]9[/C][C]5350[/C][C]5370.13966336544[/C][C]-20.1396633654422[/C][/ROW]
[ROW][C]10[/C][C]5320[/C][C]5345.25137578321[/C][C]-25.2513757832075[/C][/ROW]
[ROW][C]11[/C][C]5285[/C][C]5296.02095584478[/C][C]-11.0209558447841[/C][/ROW]
[ROW][C]12[/C][C]5235[/C][C]5250.36767504529[/C][C]-15.3676750452923[/C][/ROW]
[ROW][C]13[/C][C]5185[/C][C]5188.83395500183[/C][C]-3.8339550018336[/C][/ROW]
[ROW][C]14[/C][C]5120[/C][C]5134.22401825348[/C][C]-14.2240182534788[/C][/ROW]
[ROW][C]15[/C][C]5065[/C][C]5059.42280466411[/C][C]5.57719533589352[/C][/ROW]
[ROW][C]16[/C][C]4995[/C][C]5006.1064580132[/C][C]-11.106458013197[/C][/ROW]
[ROW][C]17[/C][C]4990[/C][C]4929.63021757967[/C][C]60.3697824203291[/C][/ROW]
[ROW][C]18[/C][C]4960[/C][C]4962.46956310119[/C][C]-2.4695631011864[/C][/ROW]
[ROW][C]19[/C][C]4955[/C][C]4939.14810691054[/C][C]15.8518930894606[/C][/ROW]
[ROW][C]20[/C][C]4960[/C][C]4944.14530143896[/C][C]15.8546985610446[/C][/ROW]
[ROW][C]21[/C][C]4965[/C][C]4961.65987872632[/C][C]3.34012127367623[/C][/ROW]
[ROW][C]22[/C][C]4980[/C][C]4971.01467870869[/C][C]8.9853212913149[/C][/ROW]
[ROW][C]23[/C][C]5005[/C][C]4992.3321825471[/C][C]12.6678174529006[/C][/ROW]
[ROW][C]24[/C][C]5040[/C][C]5026.8259588926[/C][C]13.1740411074006[/C][/ROW]
[ROW][C]25[/C][C]5095[/C][C]5072.15542992394[/C][C]22.8445700760649[/C][/ROW]
[ROW][C]26[/C][C]5165[/C][C]5143.86009938118[/C][C]21.1399006188167[/C][/ROW]
[ROW][C]27[/C][C]5215[/C][C]5230.78100757746[/C][C]-15.7810075774551[/C][/ROW]
[ROW][C]28[/C][C]5275[/C][C]5273.3934893141[/C][C]1.60651068590414[/C][/ROW]
[ROW][C]29[/C][C]5320[/C][C]5332.27427134177[/C][C]-12.2742713417665[/C][/ROW]
[ROW][C]30[/C][C]5370[/C][C]5369.49137640884[/C][C]0.50862359115763[/C][/ROW]
[ROW][C]31[/C][C]5445[/C][C]5418.13775655223[/C][C]26.862243447772[/C][/ROW]
[ROW][C]32[/C][C]5535[/C][C]5510.7231863976[/C][C]24.2768136023951[/C][/ROW]
[ROW][C]33[/C][C]5585[/C][C]5620.24115721433[/C][C]-35.2411572143283[/C][/ROW]
[ROW][C]34[/C][C]5650[/C][C]5650.59529918185[/C][C]-0.595299181854898[/C][/ROW]
[ROW][C]35[/C][C]5695[/C][C]5710.36848824624[/C][C]-15.3684882462449[/C][/ROW]
[ROW][C]36[/C][C]5715[/C][C]5745.26569057614[/C][C]-30.2656905761414[/C][/ROW]
[ROW][C]37[/C][C]5935[/C][C]5743.42076060701[/C][C]191.579239392989[/C][/ROW]
[ROW][C]38[/C][C]6010[/C][C]6084.18499108256[/C][C]-74.1849910825595[/C][/ROW]
[ROW][C]39[/C][C]6085[/C][C]6137.116488362[/C][C]-52.1164883620013[/C][/ROW]
[ROW][C]40[/C][C]6155[/C][C]6167.94812711484[/C][C]-12.9481271148406[/C][/ROW]
[ROW][C]41[/C][C]6210[/C][C]6222.34962367176[/C][C]-12.3496236717592[/C][/ROW]
[ROW][C]42[/C][C]6270[/C][C]6267.51922937787[/C][C]2.48077062213179[/C][/ROW]
[ROW][C]43[/C][C]6370[/C][C]6327.44120714838[/C][C]42.5587928516234[/C][/ROW]
[ROW][C]44[/C][C]6440[/C][C]6455.53239031593[/C][C]-15.5323903159333[/C][/ROW]
[ROW][C]45[/C][C]6490[/C][C]6521.24781795381[/C][C]-31.2478179538057[/C][/ROW]
[ROW][C]46[/C][C]6580[/C][C]6548.73998537623[/C][C]31.2600146237719[/C][/ROW]
[ROW][C]47[/C][C]6655[/C][C]6654.83280352289[/C][C]0.167196477113066[/C][/ROW]
[ROW][C]48[/C][C]6695[/C][C]6734.23385429997[/C][C]-39.2338542999714[/C][/ROW]
[ROW][C]49[/C][C]6905[/C][C]6748.67427433083[/C][C]156.32572566917[/C][/ROW]
[ROW][C]50[/C][C]7070[/C][C]7055.22002252234[/C][C]14.779977477664[/C][/ROW]
[ROW][C]51[/C][C]7200[/C][C]7251.32101660425[/C][C]-51.3210166042454[/C][/ROW]
[ROW][C]52[/C][C]7315[/C][C]7349.88631997788[/C][C]-34.8863199778762[/C][/ROW]
[ROW][C]53[/C][C]7225[/C][C]7435.09218015076[/C][C]-210.092180150758[/C][/ROW]
[ROW][C]54[/C][C]7300[/C][C]7203.31110544412[/C][C]96.6888945558794[/C][/ROW]
[ROW][C]55[/C][C]7335[/C][C]7312.51149219033[/C][C]22.4885078096704[/C][/ROW]
[ROW][C]56[/C][C]7340[/C][C]7375.45065951532[/C][C]-35.450659515318[/C][/ROW]
[ROW][C]57[/C][C]7320[/C][C]7360.4226588711[/C][C]-40.422658871099[/C][/ROW]
[ROW][C]58[/C][C]7275[/C][C]7309.19755013948[/C][C]-34.1975501394791[/C][/ROW]
[ROW][C]59[/C][C]7220[/C][C]7236.34887939935[/C][C]-16.3488793993465[/C][/ROW]
[ROW][C]60[/C][C]7160[/C][C]7165.99319397271[/C][C]-5.99319397271393[/C][/ROW]
[ROW][C]61[/C][C]7015[/C][C]7099.84059957134[/C][C]-84.8405995713392[/C][/ROW]
[ROW][C]62[/C][C]6870[/C][C]6898.69719585466[/C][C]-28.6971958546574[/C][/ROW]
[ROW][C]63[/C][C]6610[/C][C]6723.33641965057[/C][C]-113.336419650574[/C][/ROW]
[ROW][C]64[/C][C]6430[/C][C]6385.49496156902[/C][C]44.505038430977[/C][/ROW]
[ROW][C]65[/C][C]6330[/C][C]6218.95338829648[/C][C]111.046611703516[/C][/ROW]
[ROW][C]66[/C][C]6240[/C][C]6197.47220307434[/C][C]42.5277969256631[/C][/ROW]
[ROW][C]67[/C][C]6210[/C][C]6150.44936900002[/C][C]59.5506309999773[/C][/ROW]
[ROW][C]68[/C][C]6185[/C][C]6165.11861917742[/C][C]19.8813808225823[/C][/ROW]
[ROW][C]69[/C][C]6185[/C][C]6161.25868352756[/C][C]23.7413164724449[/C][/ROW]
[ROW][C]70[/C][C]6185[/C][C]6179.46900294549[/C][C]5.53099705451223[/C][/ROW]
[ROW][C]71[/C][C]6205[/C][C]6186.33520932527[/C][C]18.6647906747348[/C][/ROW]
[ROW][C]72[/C][C]6250[/C][C]6219.26504555705[/C][C]30.7349544429453[/C][/ROW]
[ROW][C]73[/C][C]6310[/C][C]6286.86854571821[/C][C]23.1314542817927[/C][/ROW]
[ROW][C]74[/C][C]6405[/C][C]6366.17140894718[/C][C]38.828591052823[/C][/ROW]
[ROW][C]75[/C][C]6515[/C][C]6489.66566298213[/C][C]25.3343370178691[/C][/ROW]
[ROW][C]76[/C][C]6655[/C][C]6621.51618563988[/C][C]33.4838143601164[/C][/ROW]
[ROW][C]77[/C][C]6795[/C][C]6786.82782210878[/C][C]8.17217789121514[/C][/ROW]
[ROW][C]78[/C][C]6945[/C][C]6936.75387155704[/C][C]8.24612844295916[/C][/ROW]
[ROW][C]79[/C][C]7100[/C][C]7093.25282877755[/C][C]6.74717122245329[/C][/ROW]
[ROW][C]80[/C][C]7260[/C][C]7253.78454054563[/C][C]6.21545945437265[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300373&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300373&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
351355185-50
452355262.39737063604-27.3973706360393
552905337.66779644547-47.6677964454666
653355357.82420127257-22.8242012725696
753505381.39678777433-31.3967877743307
853605372.79064642706-12.7906464270609
953505370.13966336544-20.1396633654422
1053205345.25137578321-25.2513757832075
1152855296.02095584478-11.0209558447841
1252355250.36767504529-15.3676750452923
1351855188.83395500183-3.8339550018336
1451205134.22401825348-14.2240182534788
1550655059.422804664115.57719533589352
1649955006.1064580132-11.106458013197
1749904929.6302175796760.3697824203291
1849604962.46956310119-2.4695631011864
1949554939.1481069105415.8518930894606
2049604944.1453014389615.8546985610446
2149654961.659878726323.34012127367623
2249804971.014678708698.9853212913149
2350054992.332182547112.6678174529006
2450405026.825958892613.1740411074006
2550955072.1554299239422.8445700760649
2651655143.8600993811821.1399006188167
2752155230.78100757746-15.7810075774551
2852755273.39348931411.60651068590414
2953205332.27427134177-12.2742713417665
3053705369.491376408840.50862359115763
3154455418.1377565522326.862243447772
3255355510.723186397624.2768136023951
3355855620.24115721433-35.2411572143283
3456505650.59529918185-0.595299181854898
3556955710.36848824624-15.3684882462449
3657155745.26569057614-30.2656905761414
3759355743.42076060701191.579239392989
3860106084.18499108256-74.1849910825595
3960856137.116488362-52.1164883620013
4061556167.94812711484-12.9481271148406
4162106222.34962367176-12.3496236717592
4262706267.519229377872.48077062213179
4363706327.4412071483842.5587928516234
4464406455.53239031593-15.5323903159333
4564906521.24781795381-31.2478179538057
4665806548.7399853762331.2600146237719
4766556654.832803522890.167196477113066
4866956734.23385429997-39.2338542999714
4969056748.67427433083156.32572566917
5070707055.2200225223414.779977477664
5172007251.32101660425-51.3210166042454
5273157349.88631997788-34.8863199778762
5372257435.09218015076-210.092180150758
5473007203.3111054441296.6888945558794
5573357312.5114921903322.4885078096704
5673407375.45065951532-35.450659515318
5773207360.4226588711-40.422658871099
5872757309.19755013948-34.1975501394791
5972207236.34887939935-16.3488793993465
6071607165.99319397271-5.99319397271393
6170157099.84059957134-84.8405995713392
6268706898.69719585466-28.6971958546574
6366106723.33641965057-113.336419650574
6464306385.4949615690244.505038430977
6563306218.95338829648111.046611703516
6662406197.4722030743442.5277969256631
6762106150.4493690000259.5506309999773
6861856165.1186191774219.8813808225823
6961856161.2586835275623.7413164724449
7061856179.469002945495.53099705451223
7162056186.3352093252718.6647906747348
7262506219.2650455570530.7349544429453
7363106286.8685457182123.1314542817927
7464056366.1714089471838.828591052823
7565156489.6656629821325.3343370178691
7666556621.5161856398833.4838143601164
7767956786.827822108788.17217789121514
7869456936.753871557048.24612844295916
7971007093.252828777556.74717122245329
8072607253.784540545636.21545945437265







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
817418.763740020787318.098670481387519.42880956019
827578.380868564487383.983150359267772.7785867697
837737.997997108187424.644246879528051.35174733684
847897.615125651877445.993996934228349.23625436952
858057.232254195577450.823502551248663.6410058399
868216.849382739277440.880149364538992.81861611401
878376.466511282967417.41512424159335.51789832443
888536.083639826667381.391733966629690.7755456867
898695.700768370367333.585632846310057.8159038944
908855.317896914057274.6407680407510435.9950257874
919014.935025457757205.1038412643510824.7662096512
929174.552154001457125.4470520379411223.657255965

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
81 & 7418.76374002078 & 7318.09867048138 & 7519.42880956019 \tabularnewline
82 & 7578.38086856448 & 7383.98315035926 & 7772.7785867697 \tabularnewline
83 & 7737.99799710818 & 7424.64424687952 & 8051.35174733684 \tabularnewline
84 & 7897.61512565187 & 7445.99399693422 & 8349.23625436952 \tabularnewline
85 & 8057.23225419557 & 7450.82350255124 & 8663.6410058399 \tabularnewline
86 & 8216.84938273927 & 7440.88014936453 & 8992.81861611401 \tabularnewline
87 & 8376.46651128296 & 7417.4151242415 & 9335.51789832443 \tabularnewline
88 & 8536.08363982666 & 7381.39173396662 & 9690.7755456867 \tabularnewline
89 & 8695.70076837036 & 7333.5856328463 & 10057.8159038944 \tabularnewline
90 & 8855.31789691405 & 7274.64076804075 & 10435.9950257874 \tabularnewline
91 & 9014.93502545775 & 7205.10384126435 & 10824.7662096512 \tabularnewline
92 & 9174.55215400145 & 7125.44705203794 & 11223.657255965 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300373&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]81[/C][C]7418.76374002078[/C][C]7318.09867048138[/C][C]7519.42880956019[/C][/ROW]
[ROW][C]82[/C][C]7578.38086856448[/C][C]7383.98315035926[/C][C]7772.7785867697[/C][/ROW]
[ROW][C]83[/C][C]7737.99799710818[/C][C]7424.64424687952[/C][C]8051.35174733684[/C][/ROW]
[ROW][C]84[/C][C]7897.61512565187[/C][C]7445.99399693422[/C][C]8349.23625436952[/C][/ROW]
[ROW][C]85[/C][C]8057.23225419557[/C][C]7450.82350255124[/C][C]8663.6410058399[/C][/ROW]
[ROW][C]86[/C][C]8216.84938273927[/C][C]7440.88014936453[/C][C]8992.81861611401[/C][/ROW]
[ROW][C]87[/C][C]8376.46651128296[/C][C]7417.4151242415[/C][C]9335.51789832443[/C][/ROW]
[ROW][C]88[/C][C]8536.08363982666[/C][C]7381.39173396662[/C][C]9690.7755456867[/C][/ROW]
[ROW][C]89[/C][C]8695.70076837036[/C][C]7333.5856328463[/C][C]10057.8159038944[/C][/ROW]
[ROW][C]90[/C][C]8855.31789691405[/C][C]7274.64076804075[/C][C]10435.9950257874[/C][/ROW]
[ROW][C]91[/C][C]9014.93502545775[/C][C]7205.10384126435[/C][C]10824.7662096512[/C][/ROW]
[ROW][C]92[/C][C]9174.55215400145[/C][C]7125.44705203794[/C][C]11223.657255965[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300373&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300373&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
817418.763740020787318.098670481387519.42880956019
827578.380868564487383.983150359267772.7785867697
837737.997997108187424.644246879528051.35174733684
847897.615125651877445.993996934228349.23625436952
858057.232254195577450.823502551248663.6410058399
868216.849382739277440.880149364538992.81861611401
878376.466511282967417.41512424159335.51789832443
888536.083639826667381.391733966629690.7755456867
898695.700768370367333.585632846310057.8159038944
908855.317896914057274.6407680407510435.9950257874
919014.935025457757205.1038412643510824.7662096512
929174.552154001457125.4470520379411223.657255965



Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')