Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 24 Nov 2015 10:26:10 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/24/t1448360845dbnck55yn3x5nhx.htm/, Retrieved Tue, 14 May 2024 11:55:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284005, Retrieved Tue, 14 May 2024 11:55:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-11-24 10:26:10] [a231c0efc426ce58c731cc3abc4c2d25] [Current]
Feedback Forum

Post a new message
Dataseries X:
85.74
86.62
86.66
87.39
87.59
88.8
88.64
89.55
89.04
88.49
89.5
89.46
90.33
90.27
91.5
92.53
93.14
93.01
92.84
92.88
93.05
93.17
93.67
94.9
95.72
96.08
97.52
98.26
98.48
98.09
98.03
98.14
98.71
98.69
98.72
98.47
99.49
99.84
100.9
101.31
100.09
99.28
99.57
101.04
101.87
101.39
100.3
99.95
99.87
100.51
100.27
100.04
99.23
99.32
99.95
100.23
101.02
99.83
99.61
100.12
99.83
100.03
100.07
100.46
100.43
100.68
101.8
101.21
100.63
100.55
99.76
98.8
85.74
86.62
86.66
87.39
87.59
88.8
88.64
89.55
89.04
88.49
89.5
89.46
90.33
90.27
91.5
92.53
93.14
93.01
92.84
92.88
93.05
93.17
93.67
94.9
95.72
96.08
97.52
98.26
98.48
98.09
98.03
98.14
98.71
98.69
98.72
98.47
99.49
99.84
100.9
101.31
100.09
99.28
99.57
101.04
101.87
101.39
100.3
99.95
99.87
100.51
100.27
100.04
99.23
99.32
99.95
100.23
101.02
99.83
99.61
100.12
99.83
100.03
100.07
100.46
100.43
100.68
101.8
101.21
100.63
100.55
99.76
98.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284005&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284005&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284005&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.937303643605867
beta0.020357947227136
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.937303643605867 \tabularnewline
beta & 0.020357947227136 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284005&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]0.937303643605867[/C][/ROW]
[ROW][C]beta[/C][C]0.020357947227136[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284005&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284005&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
alpha0.937303643605867
beta0.020357947227136
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1390.3387.94280181623942.38719818376063
1490.2790.22103002502270.0489699749773109
1591.591.6064795052008-0.106479505200753
1692.5392.5879438242154-0.057943824215414
1793.1493.187128487588-0.0471284875879689
1893.0193.0238844528044-0.0138844528043762
1992.8493.1182019023475-0.278201902347519
2092.8893.8298817787013-0.949881778701297
2193.0592.46345174958750.586548250412491
2293.1792.44623211783110.723767882168914
2393.6794.1018562469397-0.431856246939688
2494.993.65481917048671.24518082951333
2595.7295.9193536996301-0.199353699630052
2696.0895.63651641754680.443483582453183
2797.5297.39944416859090.120555831409121
2898.2698.6185300838372-0.358530083837223
2998.4898.9526941105027-0.472694110502715
3098.0998.4005715603995-0.310571560399524
3198.0398.2024915175256-0.172491517525629
3298.1498.9754195183551-0.835419518355096
3398.7197.81906534468660.890934655313373
3498.6998.10802094029370.581979059706285
3598.7299.5678564827869-0.847856482786923
3698.4798.8376710583275-0.367671058327474
3799.4999.47075690001940.0192430999805708
3899.8499.40813623722080.431863762779244
39100.9101.114726058269-0.214726058268624
40101.31101.957916150523-0.647916150523002
41100.09101.97656000626-1.88656000625959
4299.28100.045281613432-0.765281613431611
4399.5799.35688203100750.21311796899252
44101.04100.3842628102560.6557371897444
45101.87100.6968477639141.17315223608587
46101.39101.1993780880520.190621911947844
47100.3102.163701511174-1.86370151117363
4899.95100.453036630447-0.503036630447014
4999.87100.922488861069-1.05248886106905
50100.5199.79973632614320.710263673856829
51100.27101.650581469815-1.38058146981514
52100.04101.275454132849-1.23545413284859
5399.23100.556129424816-1.32612942481583
5499.3299.12153001205930.198469987940683
5599.9599.31727559187270.632724408127302
56100.23100.693187566683-0.463187566683033
57101.0299.89557139609841.12442860390161
5899.83100.196033175825-0.366033175824711
5999.61100.404382670856-0.794382670855924
60100.1299.69628676400460.42371323599545
6199.83100.932604016623-1.10260401662291
62100.0399.80510789704680.224892102953248
63100.07100.992373843058-0.922373843057642
64100.46100.987018180584-0.527018180583681
65100.43100.870739178573-0.440739178573409
66100.68100.3232118580420.356788141958418
67101.8100.6592025108491.1407974891509
68101.21102.416945104644-1.2069451046445
69100.63100.981869522133-0.351869522132958
70100.5599.73710455745170.812895442548339
7199.76100.97806739906-1.21806739906043
7298.899.8955910642118-1.09559106421177
7385.7499.5295442427691-13.7895442427691
7486.6286.26905506461930.350944935380681
7586.6687.1802397538679-0.52023975386787
7687.3987.26196490970750.128035090292457
7787.5987.46295026624180.127049733758227
7888.887.20632108957851.59367891042153
7988.6488.48311579409060.156884205909378
8089.5588.88497065619310.665029343806879
8189.0489.00736657514350.0326334248565274
8288.4987.95261397273740.537386027262642
8389.588.55933954072560.940660459274383
8489.4689.30045012255450.1595498774455
8590.3389.13146154592041.19853845407962
8690.2790.9083849895151-0.638384989515131
8791.590.9212400036490.578759996350982
8892.5392.17826972392160.351730276078442
8993.1492.69769569560660.442304304393446
9093.0192.94335571765690.0666442823430771
9192.8492.78448291339940.0555170866006307
9292.8893.2069600141922-0.326960014192252
9393.0592.42475821142860.625241788571429
9493.1792.03326007727081.13673992272923
9593.6793.31463703163230.355362968367714
9694.993.53459591425671.36540408574332
9795.7294.66043183911271.05956816088731
9896.0896.2887099014571-0.208709901457141
9997.5296.88559076356750.634409236432461
10098.2698.2865879249555-0.0265879249554644
10198.4898.5559157635013-0.0759157635012997
10298.0998.3812274899669-0.291227489966886
10398.0397.96832755364020.0616724463597933
10498.1498.4548166476078-0.314816647607799
10598.7197.82615063744130.883849362558735
10698.6997.79650422185010.893495778149912
10798.7298.8836454109478-0.163645410947808
10898.4798.7533055932597-0.283305593259655
10999.4998.35600899488471.13399100511531
11099.84100.017331416493-0.177331416493104
111100.9100.739886665460.160113334539986
112101.31101.689234842568-0.379234842567655
113100.09101.652556111196-1.56255611119583
11499.28100.07019106499-0.790191064990296
11599.5799.20147118220770.368528817792267
116101.0499.94756357085031.09243642914973
117101.87100.7355157919651.13448420803546
118101.39100.9686204373340.421379562665749
119100.3101.56518306623-1.26518306622992
12099.95100.392063245955-0.442063245954685
12199.8799.9289900200698-0.0589900200697571
122100.51100.3613160476720.148683952328312
123100.27101.388228339351-1.1182283393514
124100.04101.058799358981-1.01879935898121
12599.23100.289492960556-1.05949296055573
12699.3299.17770296790510.142297032094888
12799.9599.22407609062760.725923909372355
128100.23100.325783232526-0.0957832325262871
129101.0299.95521663370231.06478336629765
13099.83100.029518916925-0.199518916924532
13199.6199.8777596378586-0.267759637858617
132100.1299.64955728881020.470442711189762
13399.83100.041630814553-0.211630814552763
134100.03100.316828141156-0.286828141155837
135100.07100.820713988634-0.750713988634217
136100.46100.813615549264-0.353615549263523
137100.43100.649553941837-0.21955394183658
138100.68100.4007339905530.27926600944663
139101.8100.6150377827731.18496221722694
140101.21102.107202203952-0.897202203951679
141100.63101.054650686144-0.424650686144162
142100.5599.62163781223770.928362187762346
14399.76100.512292862664-0.75229286266368
14498.899.8564984006222-1.05649840062219

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 90.33 & 87.9428018162394 & 2.38719818376063 \tabularnewline
14 & 90.27 & 90.2210300250227 & 0.0489699749773109 \tabularnewline
15 & 91.5 & 91.6064795052008 & -0.106479505200753 \tabularnewline
16 & 92.53 & 92.5879438242154 & -0.057943824215414 \tabularnewline
17 & 93.14 & 93.187128487588 & -0.0471284875879689 \tabularnewline
18 & 93.01 & 93.0238844528044 & -0.0138844528043762 \tabularnewline
19 & 92.84 & 93.1182019023475 & -0.278201902347519 \tabularnewline
20 & 92.88 & 93.8298817787013 & -0.949881778701297 \tabularnewline
21 & 93.05 & 92.4634517495875 & 0.586548250412491 \tabularnewline
22 & 93.17 & 92.4462321178311 & 0.723767882168914 \tabularnewline
23 & 93.67 & 94.1018562469397 & -0.431856246939688 \tabularnewline
24 & 94.9 & 93.6548191704867 & 1.24518082951333 \tabularnewline
25 & 95.72 & 95.9193536996301 & -0.199353699630052 \tabularnewline
26 & 96.08 & 95.6365164175468 & 0.443483582453183 \tabularnewline
27 & 97.52 & 97.3994441685909 & 0.120555831409121 \tabularnewline
28 & 98.26 & 98.6185300838372 & -0.358530083837223 \tabularnewline
29 & 98.48 & 98.9526941105027 & -0.472694110502715 \tabularnewline
30 & 98.09 & 98.4005715603995 & -0.310571560399524 \tabularnewline
31 & 98.03 & 98.2024915175256 & -0.172491517525629 \tabularnewline
32 & 98.14 & 98.9754195183551 & -0.835419518355096 \tabularnewline
33 & 98.71 & 97.8190653446866 & 0.890934655313373 \tabularnewline
34 & 98.69 & 98.1080209402937 & 0.581979059706285 \tabularnewline
35 & 98.72 & 99.5678564827869 & -0.847856482786923 \tabularnewline
36 & 98.47 & 98.8376710583275 & -0.367671058327474 \tabularnewline
37 & 99.49 & 99.4707569000194 & 0.0192430999805708 \tabularnewline
38 & 99.84 & 99.4081362372208 & 0.431863762779244 \tabularnewline
39 & 100.9 & 101.114726058269 & -0.214726058268624 \tabularnewline
40 & 101.31 & 101.957916150523 & -0.647916150523002 \tabularnewline
41 & 100.09 & 101.97656000626 & -1.88656000625959 \tabularnewline
42 & 99.28 & 100.045281613432 & -0.765281613431611 \tabularnewline
43 & 99.57 & 99.3568820310075 & 0.21311796899252 \tabularnewline
44 & 101.04 & 100.384262810256 & 0.6557371897444 \tabularnewline
45 & 101.87 & 100.696847763914 & 1.17315223608587 \tabularnewline
46 & 101.39 & 101.199378088052 & 0.190621911947844 \tabularnewline
47 & 100.3 & 102.163701511174 & -1.86370151117363 \tabularnewline
48 & 99.95 & 100.453036630447 & -0.503036630447014 \tabularnewline
49 & 99.87 & 100.922488861069 & -1.05248886106905 \tabularnewline
50 & 100.51 & 99.7997363261432 & 0.710263673856829 \tabularnewline
51 & 100.27 & 101.650581469815 & -1.38058146981514 \tabularnewline
52 & 100.04 & 101.275454132849 & -1.23545413284859 \tabularnewline
53 & 99.23 & 100.556129424816 & -1.32612942481583 \tabularnewline
54 & 99.32 & 99.1215300120593 & 0.198469987940683 \tabularnewline
55 & 99.95 & 99.3172755918727 & 0.632724408127302 \tabularnewline
56 & 100.23 & 100.693187566683 & -0.463187566683033 \tabularnewline
57 & 101.02 & 99.8955713960984 & 1.12442860390161 \tabularnewline
58 & 99.83 & 100.196033175825 & -0.366033175824711 \tabularnewline
59 & 99.61 & 100.404382670856 & -0.794382670855924 \tabularnewline
60 & 100.12 & 99.6962867640046 & 0.42371323599545 \tabularnewline
61 & 99.83 & 100.932604016623 & -1.10260401662291 \tabularnewline
62 & 100.03 & 99.8051078970468 & 0.224892102953248 \tabularnewline
63 & 100.07 & 100.992373843058 & -0.922373843057642 \tabularnewline
64 & 100.46 & 100.987018180584 & -0.527018180583681 \tabularnewline
65 & 100.43 & 100.870739178573 & -0.440739178573409 \tabularnewline
66 & 100.68 & 100.323211858042 & 0.356788141958418 \tabularnewline
67 & 101.8 & 100.659202510849 & 1.1407974891509 \tabularnewline
68 & 101.21 & 102.416945104644 & -1.2069451046445 \tabularnewline
69 & 100.63 & 100.981869522133 & -0.351869522132958 \tabularnewline
70 & 100.55 & 99.7371045574517 & 0.812895442548339 \tabularnewline
71 & 99.76 & 100.97806739906 & -1.21806739906043 \tabularnewline
72 & 98.8 & 99.8955910642118 & -1.09559106421177 \tabularnewline
73 & 85.74 & 99.5295442427691 & -13.7895442427691 \tabularnewline
74 & 86.62 & 86.2690550646193 & 0.350944935380681 \tabularnewline
75 & 86.66 & 87.1802397538679 & -0.52023975386787 \tabularnewline
76 & 87.39 & 87.2619649097075 & 0.128035090292457 \tabularnewline
77 & 87.59 & 87.4629502662418 & 0.127049733758227 \tabularnewline
78 & 88.8 & 87.2063210895785 & 1.59367891042153 \tabularnewline
79 & 88.64 & 88.4831157940906 & 0.156884205909378 \tabularnewline
80 & 89.55 & 88.8849706561931 & 0.665029343806879 \tabularnewline
81 & 89.04 & 89.0073665751435 & 0.0326334248565274 \tabularnewline
82 & 88.49 & 87.9526139727374 & 0.537386027262642 \tabularnewline
83 & 89.5 & 88.5593395407256 & 0.940660459274383 \tabularnewline
84 & 89.46 & 89.3004501225545 & 0.1595498774455 \tabularnewline
85 & 90.33 & 89.1314615459204 & 1.19853845407962 \tabularnewline
86 & 90.27 & 90.9083849895151 & -0.638384989515131 \tabularnewline
87 & 91.5 & 90.921240003649 & 0.578759996350982 \tabularnewline
88 & 92.53 & 92.1782697239216 & 0.351730276078442 \tabularnewline
89 & 93.14 & 92.6976956956066 & 0.442304304393446 \tabularnewline
90 & 93.01 & 92.9433557176569 & 0.0666442823430771 \tabularnewline
91 & 92.84 & 92.7844829133994 & 0.0555170866006307 \tabularnewline
92 & 92.88 & 93.2069600141922 & -0.326960014192252 \tabularnewline
93 & 93.05 & 92.4247582114286 & 0.625241788571429 \tabularnewline
94 & 93.17 & 92.0332600772708 & 1.13673992272923 \tabularnewline
95 & 93.67 & 93.3146370316323 & 0.355362968367714 \tabularnewline
96 & 94.9 & 93.5345959142567 & 1.36540408574332 \tabularnewline
97 & 95.72 & 94.6604318391127 & 1.05956816088731 \tabularnewline
98 & 96.08 & 96.2887099014571 & -0.208709901457141 \tabularnewline
99 & 97.52 & 96.8855907635675 & 0.634409236432461 \tabularnewline
100 & 98.26 & 98.2865879249555 & -0.0265879249554644 \tabularnewline
101 & 98.48 & 98.5559157635013 & -0.0759157635012997 \tabularnewline
102 & 98.09 & 98.3812274899669 & -0.291227489966886 \tabularnewline
103 & 98.03 & 97.9683275536402 & 0.0616724463597933 \tabularnewline
104 & 98.14 & 98.4548166476078 & -0.314816647607799 \tabularnewline
105 & 98.71 & 97.8261506374413 & 0.883849362558735 \tabularnewline
106 & 98.69 & 97.7965042218501 & 0.893495778149912 \tabularnewline
107 & 98.72 & 98.8836454109478 & -0.163645410947808 \tabularnewline
108 & 98.47 & 98.7533055932597 & -0.283305593259655 \tabularnewline
109 & 99.49 & 98.3560089948847 & 1.13399100511531 \tabularnewline
110 & 99.84 & 100.017331416493 & -0.177331416493104 \tabularnewline
111 & 100.9 & 100.73988666546 & 0.160113334539986 \tabularnewline
112 & 101.31 & 101.689234842568 & -0.379234842567655 \tabularnewline
113 & 100.09 & 101.652556111196 & -1.56255611119583 \tabularnewline
114 & 99.28 & 100.07019106499 & -0.790191064990296 \tabularnewline
115 & 99.57 & 99.2014711822077 & 0.368528817792267 \tabularnewline
116 & 101.04 & 99.9475635708503 & 1.09243642914973 \tabularnewline
117 & 101.87 & 100.735515791965 & 1.13448420803546 \tabularnewline
118 & 101.39 & 100.968620437334 & 0.421379562665749 \tabularnewline
119 & 100.3 & 101.56518306623 & -1.26518306622992 \tabularnewline
120 & 99.95 & 100.392063245955 & -0.442063245954685 \tabularnewline
121 & 99.87 & 99.9289900200698 & -0.0589900200697571 \tabularnewline
122 & 100.51 & 100.361316047672 & 0.148683952328312 \tabularnewline
123 & 100.27 & 101.388228339351 & -1.1182283393514 \tabularnewline
124 & 100.04 & 101.058799358981 & -1.01879935898121 \tabularnewline
125 & 99.23 & 100.289492960556 & -1.05949296055573 \tabularnewline
126 & 99.32 & 99.1777029679051 & 0.142297032094888 \tabularnewline
127 & 99.95 & 99.2240760906276 & 0.725923909372355 \tabularnewline
128 & 100.23 & 100.325783232526 & -0.0957832325262871 \tabularnewline
129 & 101.02 & 99.9552166337023 & 1.06478336629765 \tabularnewline
130 & 99.83 & 100.029518916925 & -0.199518916924532 \tabularnewline
131 & 99.61 & 99.8777596378586 & -0.267759637858617 \tabularnewline
132 & 100.12 & 99.6495572888102 & 0.470442711189762 \tabularnewline
133 & 99.83 & 100.041630814553 & -0.211630814552763 \tabularnewline
134 & 100.03 & 100.316828141156 & -0.286828141155837 \tabularnewline
135 & 100.07 & 100.820713988634 & -0.750713988634217 \tabularnewline
136 & 100.46 & 100.813615549264 & -0.353615549263523 \tabularnewline
137 & 100.43 & 100.649553941837 & -0.21955394183658 \tabularnewline
138 & 100.68 & 100.400733990553 & 0.27926600944663 \tabularnewline
139 & 101.8 & 100.615037782773 & 1.18496221722694 \tabularnewline
140 & 101.21 & 102.107202203952 & -0.897202203951679 \tabularnewline
141 & 100.63 & 101.054650686144 & -0.424650686144162 \tabularnewline
142 & 100.55 & 99.6216378122377 & 0.928362187762346 \tabularnewline
143 & 99.76 & 100.512292862664 & -0.75229286266368 \tabularnewline
144 & 98.8 & 99.8564984006222 & -1.05649840062219 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284005&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]90.33[/C][C]87.9428018162394[/C][C]2.38719818376063[/C][/ROW]
[ROW][C]14[/C][C]90.27[/C][C]90.2210300250227[/C][C]0.0489699749773109[/C][/ROW]
[ROW][C]15[/C][C]91.5[/C][C]91.6064795052008[/C][C]-0.106479505200753[/C][/ROW]
[ROW][C]16[/C][C]92.53[/C][C]92.5879438242154[/C][C]-0.057943824215414[/C][/ROW]
[ROW][C]17[/C][C]93.14[/C][C]93.187128487588[/C][C]-0.0471284875879689[/C][/ROW]
[ROW][C]18[/C][C]93.01[/C][C]93.0238844528044[/C][C]-0.0138844528043762[/C][/ROW]
[ROW][C]19[/C][C]92.84[/C][C]93.1182019023475[/C][C]-0.278201902347519[/C][/ROW]
[ROW][C]20[/C][C]92.88[/C][C]93.8298817787013[/C][C]-0.949881778701297[/C][/ROW]
[ROW][C]21[/C][C]93.05[/C][C]92.4634517495875[/C][C]0.586548250412491[/C][/ROW]
[ROW][C]22[/C][C]93.17[/C][C]92.4462321178311[/C][C]0.723767882168914[/C][/ROW]
[ROW][C]23[/C][C]93.67[/C][C]94.1018562469397[/C][C]-0.431856246939688[/C][/ROW]
[ROW][C]24[/C][C]94.9[/C][C]93.6548191704867[/C][C]1.24518082951333[/C][/ROW]
[ROW][C]25[/C][C]95.72[/C][C]95.9193536996301[/C][C]-0.199353699630052[/C][/ROW]
[ROW][C]26[/C][C]96.08[/C][C]95.6365164175468[/C][C]0.443483582453183[/C][/ROW]
[ROW][C]27[/C][C]97.52[/C][C]97.3994441685909[/C][C]0.120555831409121[/C][/ROW]
[ROW][C]28[/C][C]98.26[/C][C]98.6185300838372[/C][C]-0.358530083837223[/C][/ROW]
[ROW][C]29[/C][C]98.48[/C][C]98.9526941105027[/C][C]-0.472694110502715[/C][/ROW]
[ROW][C]30[/C][C]98.09[/C][C]98.4005715603995[/C][C]-0.310571560399524[/C][/ROW]
[ROW][C]31[/C][C]98.03[/C][C]98.2024915175256[/C][C]-0.172491517525629[/C][/ROW]
[ROW][C]32[/C][C]98.14[/C][C]98.9754195183551[/C][C]-0.835419518355096[/C][/ROW]
[ROW][C]33[/C][C]98.71[/C][C]97.8190653446866[/C][C]0.890934655313373[/C][/ROW]
[ROW][C]34[/C][C]98.69[/C][C]98.1080209402937[/C][C]0.581979059706285[/C][/ROW]
[ROW][C]35[/C][C]98.72[/C][C]99.5678564827869[/C][C]-0.847856482786923[/C][/ROW]
[ROW][C]36[/C][C]98.47[/C][C]98.8376710583275[/C][C]-0.367671058327474[/C][/ROW]
[ROW][C]37[/C][C]99.49[/C][C]99.4707569000194[/C][C]0.0192430999805708[/C][/ROW]
[ROW][C]38[/C][C]99.84[/C][C]99.4081362372208[/C][C]0.431863762779244[/C][/ROW]
[ROW][C]39[/C][C]100.9[/C][C]101.114726058269[/C][C]-0.214726058268624[/C][/ROW]
[ROW][C]40[/C][C]101.31[/C][C]101.957916150523[/C][C]-0.647916150523002[/C][/ROW]
[ROW][C]41[/C][C]100.09[/C][C]101.97656000626[/C][C]-1.88656000625959[/C][/ROW]
[ROW][C]42[/C][C]99.28[/C][C]100.045281613432[/C][C]-0.765281613431611[/C][/ROW]
[ROW][C]43[/C][C]99.57[/C][C]99.3568820310075[/C][C]0.21311796899252[/C][/ROW]
[ROW][C]44[/C][C]101.04[/C][C]100.384262810256[/C][C]0.6557371897444[/C][/ROW]
[ROW][C]45[/C][C]101.87[/C][C]100.696847763914[/C][C]1.17315223608587[/C][/ROW]
[ROW][C]46[/C][C]101.39[/C][C]101.199378088052[/C][C]0.190621911947844[/C][/ROW]
[ROW][C]47[/C][C]100.3[/C][C]102.163701511174[/C][C]-1.86370151117363[/C][/ROW]
[ROW][C]48[/C][C]99.95[/C][C]100.453036630447[/C][C]-0.503036630447014[/C][/ROW]
[ROW][C]49[/C][C]99.87[/C][C]100.922488861069[/C][C]-1.05248886106905[/C][/ROW]
[ROW][C]50[/C][C]100.51[/C][C]99.7997363261432[/C][C]0.710263673856829[/C][/ROW]
[ROW][C]51[/C][C]100.27[/C][C]101.650581469815[/C][C]-1.38058146981514[/C][/ROW]
[ROW][C]52[/C][C]100.04[/C][C]101.275454132849[/C][C]-1.23545413284859[/C][/ROW]
[ROW][C]53[/C][C]99.23[/C][C]100.556129424816[/C][C]-1.32612942481583[/C][/ROW]
[ROW][C]54[/C][C]99.32[/C][C]99.1215300120593[/C][C]0.198469987940683[/C][/ROW]
[ROW][C]55[/C][C]99.95[/C][C]99.3172755918727[/C][C]0.632724408127302[/C][/ROW]
[ROW][C]56[/C][C]100.23[/C][C]100.693187566683[/C][C]-0.463187566683033[/C][/ROW]
[ROW][C]57[/C][C]101.02[/C][C]99.8955713960984[/C][C]1.12442860390161[/C][/ROW]
[ROW][C]58[/C][C]99.83[/C][C]100.196033175825[/C][C]-0.366033175824711[/C][/ROW]
[ROW][C]59[/C][C]99.61[/C][C]100.404382670856[/C][C]-0.794382670855924[/C][/ROW]
[ROW][C]60[/C][C]100.12[/C][C]99.6962867640046[/C][C]0.42371323599545[/C][/ROW]
[ROW][C]61[/C][C]99.83[/C][C]100.932604016623[/C][C]-1.10260401662291[/C][/ROW]
[ROW][C]62[/C][C]100.03[/C][C]99.8051078970468[/C][C]0.224892102953248[/C][/ROW]
[ROW][C]63[/C][C]100.07[/C][C]100.992373843058[/C][C]-0.922373843057642[/C][/ROW]
[ROW][C]64[/C][C]100.46[/C][C]100.987018180584[/C][C]-0.527018180583681[/C][/ROW]
[ROW][C]65[/C][C]100.43[/C][C]100.870739178573[/C][C]-0.440739178573409[/C][/ROW]
[ROW][C]66[/C][C]100.68[/C][C]100.323211858042[/C][C]0.356788141958418[/C][/ROW]
[ROW][C]67[/C][C]101.8[/C][C]100.659202510849[/C][C]1.1407974891509[/C][/ROW]
[ROW][C]68[/C][C]101.21[/C][C]102.416945104644[/C][C]-1.2069451046445[/C][/ROW]
[ROW][C]69[/C][C]100.63[/C][C]100.981869522133[/C][C]-0.351869522132958[/C][/ROW]
[ROW][C]70[/C][C]100.55[/C][C]99.7371045574517[/C][C]0.812895442548339[/C][/ROW]
[ROW][C]71[/C][C]99.76[/C][C]100.97806739906[/C][C]-1.21806739906043[/C][/ROW]
[ROW][C]72[/C][C]98.8[/C][C]99.8955910642118[/C][C]-1.09559106421177[/C][/ROW]
[ROW][C]73[/C][C]85.74[/C][C]99.5295442427691[/C][C]-13.7895442427691[/C][/ROW]
[ROW][C]74[/C][C]86.62[/C][C]86.2690550646193[/C][C]0.350944935380681[/C][/ROW]
[ROW][C]75[/C][C]86.66[/C][C]87.1802397538679[/C][C]-0.52023975386787[/C][/ROW]
[ROW][C]76[/C][C]87.39[/C][C]87.2619649097075[/C][C]0.128035090292457[/C][/ROW]
[ROW][C]77[/C][C]87.59[/C][C]87.4629502662418[/C][C]0.127049733758227[/C][/ROW]
[ROW][C]78[/C][C]88.8[/C][C]87.2063210895785[/C][C]1.59367891042153[/C][/ROW]
[ROW][C]79[/C][C]88.64[/C][C]88.4831157940906[/C][C]0.156884205909378[/C][/ROW]
[ROW][C]80[/C][C]89.55[/C][C]88.8849706561931[/C][C]0.665029343806879[/C][/ROW]
[ROW][C]81[/C][C]89.04[/C][C]89.0073665751435[/C][C]0.0326334248565274[/C][/ROW]
[ROW][C]82[/C][C]88.49[/C][C]87.9526139727374[/C][C]0.537386027262642[/C][/ROW]
[ROW][C]83[/C][C]89.5[/C][C]88.5593395407256[/C][C]0.940660459274383[/C][/ROW]
[ROW][C]84[/C][C]89.46[/C][C]89.3004501225545[/C][C]0.1595498774455[/C][/ROW]
[ROW][C]85[/C][C]90.33[/C][C]89.1314615459204[/C][C]1.19853845407962[/C][/ROW]
[ROW][C]86[/C][C]90.27[/C][C]90.9083849895151[/C][C]-0.638384989515131[/C][/ROW]
[ROW][C]87[/C][C]91.5[/C][C]90.921240003649[/C][C]0.578759996350982[/C][/ROW]
[ROW][C]88[/C][C]92.53[/C][C]92.1782697239216[/C][C]0.351730276078442[/C][/ROW]
[ROW][C]89[/C][C]93.14[/C][C]92.6976956956066[/C][C]0.442304304393446[/C][/ROW]
[ROW][C]90[/C][C]93.01[/C][C]92.9433557176569[/C][C]0.0666442823430771[/C][/ROW]
[ROW][C]91[/C][C]92.84[/C][C]92.7844829133994[/C][C]0.0555170866006307[/C][/ROW]
[ROW][C]92[/C][C]92.88[/C][C]93.2069600141922[/C][C]-0.326960014192252[/C][/ROW]
[ROW][C]93[/C][C]93.05[/C][C]92.4247582114286[/C][C]0.625241788571429[/C][/ROW]
[ROW][C]94[/C][C]93.17[/C][C]92.0332600772708[/C][C]1.13673992272923[/C][/ROW]
[ROW][C]95[/C][C]93.67[/C][C]93.3146370316323[/C][C]0.355362968367714[/C][/ROW]
[ROW][C]96[/C][C]94.9[/C][C]93.5345959142567[/C][C]1.36540408574332[/C][/ROW]
[ROW][C]97[/C][C]95.72[/C][C]94.6604318391127[/C][C]1.05956816088731[/C][/ROW]
[ROW][C]98[/C][C]96.08[/C][C]96.2887099014571[/C][C]-0.208709901457141[/C][/ROW]
[ROW][C]99[/C][C]97.52[/C][C]96.8855907635675[/C][C]0.634409236432461[/C][/ROW]
[ROW][C]100[/C][C]98.26[/C][C]98.2865879249555[/C][C]-0.0265879249554644[/C][/ROW]
[ROW][C]101[/C][C]98.48[/C][C]98.5559157635013[/C][C]-0.0759157635012997[/C][/ROW]
[ROW][C]102[/C][C]98.09[/C][C]98.3812274899669[/C][C]-0.291227489966886[/C][/ROW]
[ROW][C]103[/C][C]98.03[/C][C]97.9683275536402[/C][C]0.0616724463597933[/C][/ROW]
[ROW][C]104[/C][C]98.14[/C][C]98.4548166476078[/C][C]-0.314816647607799[/C][/ROW]
[ROW][C]105[/C][C]98.71[/C][C]97.8261506374413[/C][C]0.883849362558735[/C][/ROW]
[ROW][C]106[/C][C]98.69[/C][C]97.7965042218501[/C][C]0.893495778149912[/C][/ROW]
[ROW][C]107[/C][C]98.72[/C][C]98.8836454109478[/C][C]-0.163645410947808[/C][/ROW]
[ROW][C]108[/C][C]98.47[/C][C]98.7533055932597[/C][C]-0.283305593259655[/C][/ROW]
[ROW][C]109[/C][C]99.49[/C][C]98.3560089948847[/C][C]1.13399100511531[/C][/ROW]
[ROW][C]110[/C][C]99.84[/C][C]100.017331416493[/C][C]-0.177331416493104[/C][/ROW]
[ROW][C]111[/C][C]100.9[/C][C]100.73988666546[/C][C]0.160113334539986[/C][/ROW]
[ROW][C]112[/C][C]101.31[/C][C]101.689234842568[/C][C]-0.379234842567655[/C][/ROW]
[ROW][C]113[/C][C]100.09[/C][C]101.652556111196[/C][C]-1.56255611119583[/C][/ROW]
[ROW][C]114[/C][C]99.28[/C][C]100.07019106499[/C][C]-0.790191064990296[/C][/ROW]
[ROW][C]115[/C][C]99.57[/C][C]99.2014711822077[/C][C]0.368528817792267[/C][/ROW]
[ROW][C]116[/C][C]101.04[/C][C]99.9475635708503[/C][C]1.09243642914973[/C][/ROW]
[ROW][C]117[/C][C]101.87[/C][C]100.735515791965[/C][C]1.13448420803546[/C][/ROW]
[ROW][C]118[/C][C]101.39[/C][C]100.968620437334[/C][C]0.421379562665749[/C][/ROW]
[ROW][C]119[/C][C]100.3[/C][C]101.56518306623[/C][C]-1.26518306622992[/C][/ROW]
[ROW][C]120[/C][C]99.95[/C][C]100.392063245955[/C][C]-0.442063245954685[/C][/ROW]
[ROW][C]121[/C][C]99.87[/C][C]99.9289900200698[/C][C]-0.0589900200697571[/C][/ROW]
[ROW][C]122[/C][C]100.51[/C][C]100.361316047672[/C][C]0.148683952328312[/C][/ROW]
[ROW][C]123[/C][C]100.27[/C][C]101.388228339351[/C][C]-1.1182283393514[/C][/ROW]
[ROW][C]124[/C][C]100.04[/C][C]101.058799358981[/C][C]-1.01879935898121[/C][/ROW]
[ROW][C]125[/C][C]99.23[/C][C]100.289492960556[/C][C]-1.05949296055573[/C][/ROW]
[ROW][C]126[/C][C]99.32[/C][C]99.1777029679051[/C][C]0.142297032094888[/C][/ROW]
[ROW][C]127[/C][C]99.95[/C][C]99.2240760906276[/C][C]0.725923909372355[/C][/ROW]
[ROW][C]128[/C][C]100.23[/C][C]100.325783232526[/C][C]-0.0957832325262871[/C][/ROW]
[ROW][C]129[/C][C]101.02[/C][C]99.9552166337023[/C][C]1.06478336629765[/C][/ROW]
[ROW][C]130[/C][C]99.83[/C][C]100.029518916925[/C][C]-0.199518916924532[/C][/ROW]
[ROW][C]131[/C][C]99.61[/C][C]99.8777596378586[/C][C]-0.267759637858617[/C][/ROW]
[ROW][C]132[/C][C]100.12[/C][C]99.6495572888102[/C][C]0.470442711189762[/C][/ROW]
[ROW][C]133[/C][C]99.83[/C][C]100.041630814553[/C][C]-0.211630814552763[/C][/ROW]
[ROW][C]134[/C][C]100.03[/C][C]100.316828141156[/C][C]-0.286828141155837[/C][/ROW]
[ROW][C]135[/C][C]100.07[/C][C]100.820713988634[/C][C]-0.750713988634217[/C][/ROW]
[ROW][C]136[/C][C]100.46[/C][C]100.813615549264[/C][C]-0.353615549263523[/C][/ROW]
[ROW][C]137[/C][C]100.43[/C][C]100.649553941837[/C][C]-0.21955394183658[/C][/ROW]
[ROW][C]138[/C][C]100.68[/C][C]100.400733990553[/C][C]0.27926600944663[/C][/ROW]
[ROW][C]139[/C][C]101.8[/C][C]100.615037782773[/C][C]1.18496221722694[/C][/ROW]
[ROW][C]140[/C][C]101.21[/C][C]102.107202203952[/C][C]-0.897202203951679[/C][/ROW]
[ROW][C]141[/C][C]100.63[/C][C]101.054650686144[/C][C]-0.424650686144162[/C][/ROW]
[ROW][C]142[/C][C]100.55[/C][C]99.6216378122377[/C][C]0.928362187762346[/C][/ROW]
[ROW][C]143[/C][C]99.76[/C][C]100.512292862664[/C][C]-0.75229286266368[/C][/ROW]
[ROW][C]144[/C][C]98.8[/C][C]99.8564984006222[/C][C]-1.05649840062219[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284005&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284005&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
1390.3387.94280181623942.38719818376063
1490.2790.22103002502270.0489699749773109
1591.591.6064795052008-0.106479505200753
1692.5392.5879438242154-0.057943824215414
1793.1493.187128487588-0.0471284875879689
1893.0193.0238844528044-0.0138844528043762
1992.8493.1182019023475-0.278201902347519
2092.8893.8298817787013-0.949881778701297
2193.0592.46345174958750.586548250412491
2293.1792.44623211783110.723767882168914
2393.6794.1018562469397-0.431856246939688
2494.993.65481917048671.24518082951333
2595.7295.9193536996301-0.199353699630052
2696.0895.63651641754680.443483582453183
2797.5297.39944416859090.120555831409121
2898.2698.6185300838372-0.358530083837223
2998.4898.9526941105027-0.472694110502715
3098.0998.4005715603995-0.310571560399524
3198.0398.2024915175256-0.172491517525629
3298.1498.9754195183551-0.835419518355096
3398.7197.81906534468660.890934655313373
3498.6998.10802094029370.581979059706285
3598.7299.5678564827869-0.847856482786923
3698.4798.8376710583275-0.367671058327474
3799.4999.47075690001940.0192430999805708
3899.8499.40813623722080.431863762779244
39100.9101.114726058269-0.214726058268624
40101.31101.957916150523-0.647916150523002
41100.09101.97656000626-1.88656000625959
4299.28100.045281613432-0.765281613431611
4399.5799.35688203100750.21311796899252
44101.04100.3842628102560.6557371897444
45101.87100.6968477639141.17315223608587
46101.39101.1993780880520.190621911947844
47100.3102.163701511174-1.86370151117363
4899.95100.453036630447-0.503036630447014
4999.87100.922488861069-1.05248886106905
50100.5199.79973632614320.710263673856829
51100.27101.650581469815-1.38058146981514
52100.04101.275454132849-1.23545413284859
5399.23100.556129424816-1.32612942481583
5499.3299.12153001205930.198469987940683
5599.9599.31727559187270.632724408127302
56100.23100.693187566683-0.463187566683033
57101.0299.89557139609841.12442860390161
5899.83100.196033175825-0.366033175824711
5999.61100.404382670856-0.794382670855924
60100.1299.69628676400460.42371323599545
6199.83100.932604016623-1.10260401662291
62100.0399.80510789704680.224892102953248
63100.07100.992373843058-0.922373843057642
64100.46100.987018180584-0.527018180583681
65100.43100.870739178573-0.440739178573409
66100.68100.3232118580420.356788141958418
67101.8100.6592025108491.1407974891509
68101.21102.416945104644-1.2069451046445
69100.63100.981869522133-0.351869522132958
70100.5599.73710455745170.812895442548339
7199.76100.97806739906-1.21806739906043
7298.899.8955910642118-1.09559106421177
7385.7499.5295442427691-13.7895442427691
7486.6286.26905506461930.350944935380681
7586.6687.1802397538679-0.52023975386787
7687.3987.26196490970750.128035090292457
7787.5987.46295026624180.127049733758227
7888.887.20632108957851.59367891042153
7988.6488.48311579409060.156884205909378
8089.5588.88497065619310.665029343806879
8189.0489.00736657514350.0326334248565274
8288.4987.95261397273740.537386027262642
8389.588.55933954072560.940660459274383
8489.4689.30045012255450.1595498774455
8590.3389.13146154592041.19853845407962
8690.2790.9083849895151-0.638384989515131
8791.590.9212400036490.578759996350982
8892.5392.17826972392160.351730276078442
8993.1492.69769569560660.442304304393446
9093.0192.94335571765690.0666442823430771
9192.8492.78448291339940.0555170866006307
9292.8893.2069600141922-0.326960014192252
9393.0592.42475821142860.625241788571429
9493.1792.03326007727081.13673992272923
9593.6793.31463703163230.355362968367714
9694.993.53459591425671.36540408574332
9795.7294.66043183911271.05956816088731
9896.0896.2887099014571-0.208709901457141
9997.5296.88559076356750.634409236432461
10098.2698.2865879249555-0.0265879249554644
10198.4898.5559157635013-0.0759157635012997
10298.0998.3812274899669-0.291227489966886
10398.0397.96832755364020.0616724463597933
10498.1498.4548166476078-0.314816647607799
10598.7197.82615063744130.883849362558735
10698.6997.79650422185010.893495778149912
10798.7298.8836454109478-0.163645410947808
10898.4798.7533055932597-0.283305593259655
10999.4998.35600899488471.13399100511531
11099.84100.017331416493-0.177331416493104
111100.9100.739886665460.160113334539986
112101.31101.689234842568-0.379234842567655
113100.09101.652556111196-1.56255611119583
11499.28100.07019106499-0.790191064990296
11599.5799.20147118220770.368528817792267
116101.0499.94756357085031.09243642914973
117101.87100.7355157919651.13448420803546
118101.39100.9686204373340.421379562665749
119100.3101.56518306623-1.26518306622992
12099.95100.392063245955-0.442063245954685
12199.8799.9289900200698-0.0589900200697571
122100.51100.3613160476720.148683952328312
123100.27101.388228339351-1.1182283393514
124100.04101.058799358981-1.01879935898121
12599.23100.289492960556-1.05949296055573
12699.3299.17770296790510.142297032094888
12799.9599.22407609062760.725923909372355
128100.23100.325783232526-0.0957832325262871
129101.0299.95521663370231.06478336629765
13099.83100.029518916925-0.199518916924532
13199.6199.8777596378586-0.267759637858617
132100.1299.64955728881020.470442711189762
13399.83100.041630814553-0.211630814552763
134100.03100.316828141156-0.286828141155837
135100.07100.820713988634-0.750713988634217
136100.46100.813615549264-0.353615549263523
137100.43100.649553941837-0.21955394183658
138100.68100.4007339905530.27926600944663
139101.8100.6150377827731.18496221722694
140101.21102.107202203952-0.897202203951679
141100.63101.054650686144-0.424650686144162
142100.5599.62163781223770.928362187762346
14399.76100.512292862664-0.75229286266368
14498.899.8564984006222-1.05649840062219







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
14598.725744534234795.9389898327642101.512499235705
14699.149771446347595.2936916351664103.005851257529
14799.854073387099395.1361312817326104.572015492466
148100.55049832137395.0787037647666106.022292877979
149100.70801436526294.5501185642685106.865910166256
150100.68217408700293.8849637700022107.479384404002
151100.67209261701693.2698393676357108.074345866396
152100.88102049647992.8998431883027108.862197804655
153100.67414415044692.1345166662617109.213771634631
15499.707186913093790.6254939263423108.788879899845
15599.587799162547889.9773581559753109.19824016912
15699.597899306157789.4696625702001109.726136042115

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 98.7257445342347 & 95.9389898327642 & 101.512499235705 \tabularnewline
146 & 99.1497714463475 & 95.2936916351664 & 103.005851257529 \tabularnewline
147 & 99.8540733870993 & 95.1361312817326 & 104.572015492466 \tabularnewline
148 & 100.550498321373 & 95.0787037647666 & 106.022292877979 \tabularnewline
149 & 100.708014365262 & 94.5501185642685 & 106.865910166256 \tabularnewline
150 & 100.682174087002 & 93.8849637700022 & 107.479384404002 \tabularnewline
151 & 100.672092617016 & 93.2698393676357 & 108.074345866396 \tabularnewline
152 & 100.881020496479 & 92.8998431883027 & 108.862197804655 \tabularnewline
153 & 100.674144150446 & 92.1345166662617 & 109.213771634631 \tabularnewline
154 & 99.7071869130937 & 90.6254939263423 & 108.788879899845 \tabularnewline
155 & 99.5877991625478 & 89.9773581559753 & 109.19824016912 \tabularnewline
156 & 99.5978993061577 & 89.4696625702001 & 109.726136042115 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284005&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]145[/C][C]98.7257445342347[/C][C]95.9389898327642[/C][C]101.512499235705[/C][/ROW]
[ROW][C]146[/C][C]99.1497714463475[/C][C]95.2936916351664[/C][C]103.005851257529[/C][/ROW]
[ROW][C]147[/C][C]99.8540733870993[/C][C]95.1361312817326[/C][C]104.572015492466[/C][/ROW]
[ROW][C]148[/C][C]100.550498321373[/C][C]95.0787037647666[/C][C]106.022292877979[/C][/ROW]
[ROW][C]149[/C][C]100.708014365262[/C][C]94.5501185642685[/C][C]106.865910166256[/C][/ROW]
[ROW][C]150[/C][C]100.682174087002[/C][C]93.8849637700022[/C][C]107.479384404002[/C][/ROW]
[ROW][C]151[/C][C]100.672092617016[/C][C]93.2698393676357[/C][C]108.074345866396[/C][/ROW]
[ROW][C]152[/C][C]100.881020496479[/C][C]92.8998431883027[/C][C]108.862197804655[/C][/ROW]
[ROW][C]153[/C][C]100.674144150446[/C][C]92.1345166662617[/C][C]109.213771634631[/C][/ROW]
[ROW][C]154[/C][C]99.7071869130937[/C][C]90.6254939263423[/C][C]108.788879899845[/C][/ROW]
[ROW][C]155[/C][C]99.5877991625478[/C][C]89.9773581559753[/C][C]109.19824016912[/C][/ROW]
[ROW][C]156[/C][C]99.5978993061577[/C][C]89.4696625702001[/C][C]109.726136042115[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284005&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284005&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
14598.725744534234795.9389898327642101.512499235705
14699.149771446347595.2936916351664103.005851257529
14799.854073387099395.1361312817326104.572015492466
148100.55049832137395.0787037647666106.022292877979
149100.70801436526294.5501185642685106.865910166256
150100.68217408700293.8849637700022107.479384404002
151100.67209261701693.2698393676357108.074345866396
152100.88102049647992.8998431883027108.862197804655
153100.67414415044692.1345166662617109.213771634631
15499.707186913093790.6254939263423108.788879899845
15599.587799162547889.9773581559753109.19824016912
15699.597899306157789.4696625702001109.726136042115



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par3 <- 'additive'
par2 <- 'Double'
par1 <- '12'
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')