Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 15 May 2012 13:26:03 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/15/t1337102801vdyt0tyq8fv4oz2.htm/, Retrieved Wed, 08 May 2024 16:39:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166480, Retrieved Wed, 08 May 2024 16:39:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact222
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Niet-werkende wer...] [2012-05-15 17:26:03] [76c30f62b7052b57088120e90a652e05] [Current]
Feedback Forum

Post a new message
Dataseries X:
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614
116566
111272
104609
101802
94542
93051
124129
130374
123946
114971
105531
104919
104782
101281
94545
93248
84031
87486
115867
120327
117008
108811
104519
106758
109337
109078
108293
106534
99197
103493
130676
137448
134704
123725
118277
121225
120528
118240
112514
107304
100001
102082
130455
135574
132540
119920
112454
109415
109843
106365
102304
97968
92462
92286
120092
126656
124144
114045
108120
105698




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166480&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166480&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166480&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.821146945168228
beta0.0660065936452337
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.821146945168228 \tabularnewline
beta & 0.0660065936452337 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166480&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]0.821146945168228[/C][/ROW]
[ROW][C]beta[/C][C]0.0660065936452337[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166480&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166480&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
alpha0.821146945168228
beta0.0660065936452337
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13116566124441.288382663-7875.28838266317
14111272112397.249136598-1125.2491365977
15104609104733.334614409-124.334614408843
16101802101742.52884482959.4711551713262
179454294175.4472559367366.552744063301
189305192347.8164965284703.183503471577
19124129124067.15816602661.8418339735654
20130374128263.3686805392110.63131946069
21123946128187.116421263-4241.11642126295
22114971111085.7229493363885.27705066354
23105531103577.8374132991953.16258670064
2410491998726.77990700036192.22009299975
25104782103532.507527251249.49247274967
26101281101047.016736103233.983263897433
279454595748.905296604-1203.90529660399
289324892581.9329823049666.067017695124
298403186642.6175486143-2611.61754861427
308748682884.49016585294601.50983414706
31115867116252.329496446-385.329496445644
32120327120855.728507834-528.728507834167
33117008118230.419023411-1222.41902341071
34108811106387.8474304592423.15256954117
3510451998523.24069636055995.75930363948
3610675898625.32782299888132.67217700121
37109337105089.3368507234247.6631492766
38109078105879.5682625193198.43173748083
39108293103615.875364024677.12463598014
40106534107018.236098763-484.236098763038
4199197100015.87323194-818.873231940292
42103493100594.4358517392898.56414826095
43130676138807.358941436-8131.35894143625
44137448139387.766730328-1939.76673032757
45134704136740.350856428-2036.35085642833
46123725124758.596783582-1033.59678358184
47118277114496.8712518543780.12874814586
48121225113427.2107014267797.78929857432
49120528119621.682769028906.317230972039
50118240117783.911506409456.088493590549
51112514113540.021069217-1026.02106921673
52107304111385.057518834-4081.05751883404
53100001101198.413758781-1197.41375878129
54102082102041.83207279440.1679272064357
55130455135075.152567257-4620.15256725738
56135574139526.360231213-3952.36023121286
57132540134952.149675754-2412.14967575358
58119920122707.642245043-2787.64224504307
59112454111741.454813604712.545186396193
60109415108492.440428369922.559571631384
61109843107147.9596265522695.04037344808
62106365106259.694104097105.305895903308
63102304101286.6956143291017.30438567123
649796899861.3861758082-1893.38617580822
659246292084.7104592586377.289540741389
669228693928.5865119708-1642.58651197077
67120092121144.157778838-1052.15777883786
68126656127532.817836819-876.817836818518
69124144125532.011434963-1388.01143496261
70114045114464.016115062-419.016115062186
71108120106365.6797979931754.32020200747
72105698104135.949500721562.05049927977

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 116566 & 124441.288382663 & -7875.28838266317 \tabularnewline
14 & 111272 & 112397.249136598 & -1125.2491365977 \tabularnewline
15 & 104609 & 104733.334614409 & -124.334614408843 \tabularnewline
16 & 101802 & 101742.528844829 & 59.4711551713262 \tabularnewline
17 & 94542 & 94175.4472559367 & 366.552744063301 \tabularnewline
18 & 93051 & 92347.8164965284 & 703.183503471577 \tabularnewline
19 & 124129 & 124067.158166026 & 61.8418339735654 \tabularnewline
20 & 130374 & 128263.368680539 & 2110.63131946069 \tabularnewline
21 & 123946 & 128187.116421263 & -4241.11642126295 \tabularnewline
22 & 114971 & 111085.722949336 & 3885.27705066354 \tabularnewline
23 & 105531 & 103577.837413299 & 1953.16258670064 \tabularnewline
24 & 104919 & 98726.7799070003 & 6192.22009299975 \tabularnewline
25 & 104782 & 103532.50752725 & 1249.49247274967 \tabularnewline
26 & 101281 & 101047.016736103 & 233.983263897433 \tabularnewline
27 & 94545 & 95748.905296604 & -1203.90529660399 \tabularnewline
28 & 93248 & 92581.9329823049 & 666.067017695124 \tabularnewline
29 & 84031 & 86642.6175486143 & -2611.61754861427 \tabularnewline
30 & 87486 & 82884.4901658529 & 4601.50983414706 \tabularnewline
31 & 115867 & 116252.329496446 & -385.329496445644 \tabularnewline
32 & 120327 & 120855.728507834 & -528.728507834167 \tabularnewline
33 & 117008 & 118230.419023411 & -1222.41902341071 \tabularnewline
34 & 108811 & 106387.847430459 & 2423.15256954117 \tabularnewline
35 & 104519 & 98523.2406963605 & 5995.75930363948 \tabularnewline
36 & 106758 & 98625.3278229988 & 8132.67217700121 \tabularnewline
37 & 109337 & 105089.336850723 & 4247.6631492766 \tabularnewline
38 & 109078 & 105879.568262519 & 3198.43173748083 \tabularnewline
39 & 108293 & 103615.87536402 & 4677.12463598014 \tabularnewline
40 & 106534 & 107018.236098763 & -484.236098763038 \tabularnewline
41 & 99197 & 100015.87323194 & -818.873231940292 \tabularnewline
42 & 103493 & 100594.435851739 & 2898.56414826095 \tabularnewline
43 & 130676 & 138807.358941436 & -8131.35894143625 \tabularnewline
44 & 137448 & 139387.766730328 & -1939.76673032757 \tabularnewline
45 & 134704 & 136740.350856428 & -2036.35085642833 \tabularnewline
46 & 123725 & 124758.596783582 & -1033.59678358184 \tabularnewline
47 & 118277 & 114496.871251854 & 3780.12874814586 \tabularnewline
48 & 121225 & 113427.210701426 & 7797.78929857432 \tabularnewline
49 & 120528 & 119621.682769028 & 906.317230972039 \tabularnewline
50 & 118240 & 117783.911506409 & 456.088493590549 \tabularnewline
51 & 112514 & 113540.021069217 & -1026.02106921673 \tabularnewline
52 & 107304 & 111385.057518834 & -4081.05751883404 \tabularnewline
53 & 100001 & 101198.413758781 & -1197.41375878129 \tabularnewline
54 & 102082 & 102041.832072794 & 40.1679272064357 \tabularnewline
55 & 130455 & 135075.152567257 & -4620.15256725738 \tabularnewline
56 & 135574 & 139526.360231213 & -3952.36023121286 \tabularnewline
57 & 132540 & 134952.149675754 & -2412.14967575358 \tabularnewline
58 & 119920 & 122707.642245043 & -2787.64224504307 \tabularnewline
59 & 112454 & 111741.454813604 & 712.545186396193 \tabularnewline
60 & 109415 & 108492.440428369 & 922.559571631384 \tabularnewline
61 & 109843 & 107147.959626552 & 2695.04037344808 \tabularnewline
62 & 106365 & 106259.694104097 & 105.305895903308 \tabularnewline
63 & 102304 & 101286.695614329 & 1017.30438567123 \tabularnewline
64 & 97968 & 99861.3861758082 & -1893.38617580822 \tabularnewline
65 & 92462 & 92084.7104592586 & 377.289540741389 \tabularnewline
66 & 92286 & 93928.5865119708 & -1642.58651197077 \tabularnewline
67 & 120092 & 121144.157778838 & -1052.15777883786 \tabularnewline
68 & 126656 & 127532.817836819 & -876.817836818518 \tabularnewline
69 & 124144 & 125532.011434963 & -1388.01143496261 \tabularnewline
70 & 114045 & 114464.016115062 & -419.016115062186 \tabularnewline
71 & 108120 & 106365.679797993 & 1754.32020200747 \tabularnewline
72 & 105698 & 104135.94950072 & 1562.05049927977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166480&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]116566[/C][C]124441.288382663[/C][C]-7875.28838266317[/C][/ROW]
[ROW][C]14[/C][C]111272[/C][C]112397.249136598[/C][C]-1125.2491365977[/C][/ROW]
[ROW][C]15[/C][C]104609[/C][C]104733.334614409[/C][C]-124.334614408843[/C][/ROW]
[ROW][C]16[/C][C]101802[/C][C]101742.528844829[/C][C]59.4711551713262[/C][/ROW]
[ROW][C]17[/C][C]94542[/C][C]94175.4472559367[/C][C]366.552744063301[/C][/ROW]
[ROW][C]18[/C][C]93051[/C][C]92347.8164965284[/C][C]703.183503471577[/C][/ROW]
[ROW][C]19[/C][C]124129[/C][C]124067.158166026[/C][C]61.8418339735654[/C][/ROW]
[ROW][C]20[/C][C]130374[/C][C]128263.368680539[/C][C]2110.63131946069[/C][/ROW]
[ROW][C]21[/C][C]123946[/C][C]128187.116421263[/C][C]-4241.11642126295[/C][/ROW]
[ROW][C]22[/C][C]114971[/C][C]111085.722949336[/C][C]3885.27705066354[/C][/ROW]
[ROW][C]23[/C][C]105531[/C][C]103577.837413299[/C][C]1953.16258670064[/C][/ROW]
[ROW][C]24[/C][C]104919[/C][C]98726.7799070003[/C][C]6192.22009299975[/C][/ROW]
[ROW][C]25[/C][C]104782[/C][C]103532.50752725[/C][C]1249.49247274967[/C][/ROW]
[ROW][C]26[/C][C]101281[/C][C]101047.016736103[/C][C]233.983263897433[/C][/ROW]
[ROW][C]27[/C][C]94545[/C][C]95748.905296604[/C][C]-1203.90529660399[/C][/ROW]
[ROW][C]28[/C][C]93248[/C][C]92581.9329823049[/C][C]666.067017695124[/C][/ROW]
[ROW][C]29[/C][C]84031[/C][C]86642.6175486143[/C][C]-2611.61754861427[/C][/ROW]
[ROW][C]30[/C][C]87486[/C][C]82884.4901658529[/C][C]4601.50983414706[/C][/ROW]
[ROW][C]31[/C][C]115867[/C][C]116252.329496446[/C][C]-385.329496445644[/C][/ROW]
[ROW][C]32[/C][C]120327[/C][C]120855.728507834[/C][C]-528.728507834167[/C][/ROW]
[ROW][C]33[/C][C]117008[/C][C]118230.419023411[/C][C]-1222.41902341071[/C][/ROW]
[ROW][C]34[/C][C]108811[/C][C]106387.847430459[/C][C]2423.15256954117[/C][/ROW]
[ROW][C]35[/C][C]104519[/C][C]98523.2406963605[/C][C]5995.75930363948[/C][/ROW]
[ROW][C]36[/C][C]106758[/C][C]98625.3278229988[/C][C]8132.67217700121[/C][/ROW]
[ROW][C]37[/C][C]109337[/C][C]105089.336850723[/C][C]4247.6631492766[/C][/ROW]
[ROW][C]38[/C][C]109078[/C][C]105879.568262519[/C][C]3198.43173748083[/C][/ROW]
[ROW][C]39[/C][C]108293[/C][C]103615.87536402[/C][C]4677.12463598014[/C][/ROW]
[ROW][C]40[/C][C]106534[/C][C]107018.236098763[/C][C]-484.236098763038[/C][/ROW]
[ROW][C]41[/C][C]99197[/C][C]100015.87323194[/C][C]-818.873231940292[/C][/ROW]
[ROW][C]42[/C][C]103493[/C][C]100594.435851739[/C][C]2898.56414826095[/C][/ROW]
[ROW][C]43[/C][C]130676[/C][C]138807.358941436[/C][C]-8131.35894143625[/C][/ROW]
[ROW][C]44[/C][C]137448[/C][C]139387.766730328[/C][C]-1939.76673032757[/C][/ROW]
[ROW][C]45[/C][C]134704[/C][C]136740.350856428[/C][C]-2036.35085642833[/C][/ROW]
[ROW][C]46[/C][C]123725[/C][C]124758.596783582[/C][C]-1033.59678358184[/C][/ROW]
[ROW][C]47[/C][C]118277[/C][C]114496.871251854[/C][C]3780.12874814586[/C][/ROW]
[ROW][C]48[/C][C]121225[/C][C]113427.210701426[/C][C]7797.78929857432[/C][/ROW]
[ROW][C]49[/C][C]120528[/C][C]119621.682769028[/C][C]906.317230972039[/C][/ROW]
[ROW][C]50[/C][C]118240[/C][C]117783.911506409[/C][C]456.088493590549[/C][/ROW]
[ROW][C]51[/C][C]112514[/C][C]113540.021069217[/C][C]-1026.02106921673[/C][/ROW]
[ROW][C]52[/C][C]107304[/C][C]111385.057518834[/C][C]-4081.05751883404[/C][/ROW]
[ROW][C]53[/C][C]100001[/C][C]101198.413758781[/C][C]-1197.41375878129[/C][/ROW]
[ROW][C]54[/C][C]102082[/C][C]102041.832072794[/C][C]40.1679272064357[/C][/ROW]
[ROW][C]55[/C][C]130455[/C][C]135075.152567257[/C][C]-4620.15256725738[/C][/ROW]
[ROW][C]56[/C][C]135574[/C][C]139526.360231213[/C][C]-3952.36023121286[/C][/ROW]
[ROW][C]57[/C][C]132540[/C][C]134952.149675754[/C][C]-2412.14967575358[/C][/ROW]
[ROW][C]58[/C][C]119920[/C][C]122707.642245043[/C][C]-2787.64224504307[/C][/ROW]
[ROW][C]59[/C][C]112454[/C][C]111741.454813604[/C][C]712.545186396193[/C][/ROW]
[ROW][C]60[/C][C]109415[/C][C]108492.440428369[/C][C]922.559571631384[/C][/ROW]
[ROW][C]61[/C][C]109843[/C][C]107147.959626552[/C][C]2695.04037344808[/C][/ROW]
[ROW][C]62[/C][C]106365[/C][C]106259.694104097[/C][C]105.305895903308[/C][/ROW]
[ROW][C]63[/C][C]102304[/C][C]101286.695614329[/C][C]1017.30438567123[/C][/ROW]
[ROW][C]64[/C][C]97968[/C][C]99861.3861758082[/C][C]-1893.38617580822[/C][/ROW]
[ROW][C]65[/C][C]92462[/C][C]92084.7104592586[/C][C]377.289540741389[/C][/ROW]
[ROW][C]66[/C][C]92286[/C][C]93928.5865119708[/C][C]-1642.58651197077[/C][/ROW]
[ROW][C]67[/C][C]120092[/C][C]121144.157778838[/C][C]-1052.15777883786[/C][/ROW]
[ROW][C]68[/C][C]126656[/C][C]127532.817836819[/C][C]-876.817836818518[/C][/ROW]
[ROW][C]69[/C][C]124144[/C][C]125532.011434963[/C][C]-1388.01143496261[/C][/ROW]
[ROW][C]70[/C][C]114045[/C][C]114464.016115062[/C][C]-419.016115062186[/C][/ROW]
[ROW][C]71[/C][C]108120[/C][C]106365.679797993[/C][C]1754.32020200747[/C][/ROW]
[ROW][C]72[/C][C]105698[/C][C]104135.94950072[/C][C]1562.05049927977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166480&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166480&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
13116566124441.288382663-7875.28838266317
14111272112397.249136598-1125.2491365977
15104609104733.334614409-124.334614408843
16101802101742.52884482959.4711551713262
179454294175.4472559367366.552744063301
189305192347.8164965284703.183503471577
19124129124067.15816602661.8418339735654
20130374128263.3686805392110.63131946069
21123946128187.116421263-4241.11642126295
22114971111085.7229493363885.27705066354
23105531103577.8374132991953.16258670064
2410491998726.77990700036192.22009299975
25104782103532.507527251249.49247274967
26101281101047.016736103233.983263897433
279454595748.905296604-1203.90529660399
289324892581.9329823049666.067017695124
298403186642.6175486143-2611.61754861427
308748682884.49016585294601.50983414706
31115867116252.329496446-385.329496445644
32120327120855.728507834-528.728507834167
33117008118230.419023411-1222.41902341071
34108811106387.8474304592423.15256954117
3510451998523.24069636055995.75930363948
3610675898625.32782299888132.67217700121
37109337105089.3368507234247.6631492766
38109078105879.5682625193198.43173748083
39108293103615.875364024677.12463598014
40106534107018.236098763-484.236098763038
4199197100015.87323194-818.873231940292
42103493100594.4358517392898.56414826095
43130676138807.358941436-8131.35894143625
44137448139387.766730328-1939.76673032757
45134704136740.350856428-2036.35085642833
46123725124758.596783582-1033.59678358184
47118277114496.8712518543780.12874814586
48121225113427.2107014267797.78929857432
49120528119621.682769028906.317230972039
50118240117783.911506409456.088493590549
51112514113540.021069217-1026.02106921673
52107304111385.057518834-4081.05751883404
53100001101198.413758781-1197.41375878129
54102082102041.83207279440.1679272064357
55130455135075.152567257-4620.15256725738
56135574139526.360231213-3952.36023121286
57132540134952.149675754-2412.14967575358
58119920122707.642245043-2787.64224504307
59112454111741.454813604712.545186396193
60109415108492.440428369922.559571631384
61109843107147.9596265522695.04037344808
62106365106259.694104097105.305895903308
63102304101286.6956143291017.30438567123
649796899861.3861758082-1893.38617580822
659246292084.7104592586377.289540741389
669228693928.5865119708-1642.58651197077
67120092121144.157778838-1052.15777883786
68126656127532.817836819-876.817836818518
69124144125532.011434963-1388.01143496261
70114045114464.016115062-419.016115062186
71108120106365.6797979931754.32020200747
72105698104135.949500721562.05049927977







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73103698.26099681597513.998454674109882.523538957
74100200.24269800392088.6810621115108311.804333895
7595453.606843236685788.2198073768105118.993879096
7692672.253560767181495.7636819867103848.743439547
7787092.706057618874818.465364267699366.94675097
7888093.7435118574030.3974960928102157.089527607
79115444.17549500395539.9303516807135348.420638326
80122489.7516237599640.5369187965145338.966328704
81121252.99421691296852.2085516222145653.779882202
82111883.46454290587592.8853441453136174.043741664
83104825.66150841680326.8768733909129324.446143441
84101301.71159182976669.3846894037125934.038494255

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 103698.260996815 & 97513.998454674 & 109882.523538957 \tabularnewline
74 & 100200.242698003 & 92088.6810621115 & 108311.804333895 \tabularnewline
75 & 95453.6068432366 & 85788.2198073768 & 105118.993879096 \tabularnewline
76 & 92672.2535607671 & 81495.7636819867 & 103848.743439547 \tabularnewline
77 & 87092.7060576188 & 74818.4653642676 & 99366.94675097 \tabularnewline
78 & 88093.74351185 & 74030.3974960928 & 102157.089527607 \tabularnewline
79 & 115444.175495003 & 95539.9303516807 & 135348.420638326 \tabularnewline
80 & 122489.75162375 & 99640.5369187965 & 145338.966328704 \tabularnewline
81 & 121252.994216912 & 96852.2085516222 & 145653.779882202 \tabularnewline
82 & 111883.464542905 & 87592.8853441453 & 136174.043741664 \tabularnewline
83 & 104825.661508416 & 80326.8768733909 & 129324.446143441 \tabularnewline
84 & 101301.711591829 & 76669.3846894037 & 125934.038494255 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166480&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]103698.260996815[/C][C]97513.998454674[/C][C]109882.523538957[/C][/ROW]
[ROW][C]74[/C][C]100200.242698003[/C][C]92088.6810621115[/C][C]108311.804333895[/C][/ROW]
[ROW][C]75[/C][C]95453.6068432366[/C][C]85788.2198073768[/C][C]105118.993879096[/C][/ROW]
[ROW][C]76[/C][C]92672.2535607671[/C][C]81495.7636819867[/C][C]103848.743439547[/C][/ROW]
[ROW][C]77[/C][C]87092.7060576188[/C][C]74818.4653642676[/C][C]99366.94675097[/C][/ROW]
[ROW][C]78[/C][C]88093.74351185[/C][C]74030.3974960928[/C][C]102157.089527607[/C][/ROW]
[ROW][C]79[/C][C]115444.175495003[/C][C]95539.9303516807[/C][C]135348.420638326[/C][/ROW]
[ROW][C]80[/C][C]122489.75162375[/C][C]99640.5369187965[/C][C]145338.966328704[/C][/ROW]
[ROW][C]81[/C][C]121252.994216912[/C][C]96852.2085516222[/C][C]145653.779882202[/C][/ROW]
[ROW][C]82[/C][C]111883.464542905[/C][C]87592.8853441453[/C][C]136174.043741664[/C][/ROW]
[ROW][C]83[/C][C]104825.661508416[/C][C]80326.8768733909[/C][C]129324.446143441[/C][/ROW]
[ROW][C]84[/C][C]101301.711591829[/C][C]76669.3846894037[/C][C]125934.038494255[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166480&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166480&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
73103698.26099681597513.998454674109882.523538957
74100200.24269800392088.6810621115108311.804333895
7595453.606843236685788.2198073768105118.993879096
7692672.253560767181495.7636819867103848.743439547
7787092.706057618874818.465364267699366.94675097
7888093.7435118574030.3974960928102157.089527607
79115444.17549500395539.9303516807135348.420638326
80122489.7516237599640.5369187965145338.966328704
81121252.99421691296852.2085516222145653.779882202
82111883.46454290587592.8853441453136174.043741664
83104825.66150841680326.8768733909129324.446143441
84101301.71159182976669.3846894037125934.038494255



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')