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 computationTue, 27 Nov 2012 19:07:12 -0500
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/Nov/27/t1354061266ge8xbm6bmh3e7pd.htm/, Retrieved Sat, 04 May 2024 16:32:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194089, Retrieved Sat, 04 May 2024 16:32:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [paper deel 4: ES CO2] [2012-11-28 00:07:12] [4e0a07d67ff6ab1ee99ce2372e43edac] [Current]
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Dataseries X:
369.07
369.32
370.38
371.63
371.32
371.51
369.69
368.18
366.87
366.94
368.27
369.62
370.47
371.44
372.39
373.32
373.77
373.13
371.51
369.59
368.12
368.38
369.64
371.11
372.38
373.08
373.87
374.93
375.58
375.44
373.91
371.77
370.72
370.5
372.19
373.71
374.92
375.63
376.51
377.75
378.54
378.21
376.65
374.28
373.12
373.1
374.67
375.97
377.03
377.87
378.88
380.42
380.62
379.66
377.48
376.07
374.1
374.47
376.15
377.51
378.43
379.7
380.91
382.2
382.45
382.14
380.6
378.6
376.72
376.98
378.29
380.07
381.36
382.19
382.65
384.65
384.94
384.01
382.15
380.33
378.81
379.06
380.17
381.85
382.88
383.77
384.42
386.36
386.53
386.01
384.45
381.96
380.81
381.09
382.37
383.84
385.42
385.72
385.96
387.18
388.5
387.88
386.38
384.15
383.07
382.98
384.11
385.54
386.92
387.41
388.77
389.46
390.18
389.43
387.74
385.91
384.77
384.38
385.99
387.26
388.45
389.7
391.08
392.46
392.96
392.03
390.13
388.15
386.8
387.18
388.59




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194089&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]3 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=194089&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194089&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.626376683046909
beta0.00619511319476243
gamma0.452854411402937

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.626376683046909 \tabularnewline
beta & 0.00619511319476243 \tabularnewline
gamma & 0.452854411402937 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194089&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]0.626376683046909[/C][/ROW]
[ROW][C]beta[/C][C]0.00619511319476243[/C][/ROW]
[ROW][C]gamma[/C][C]0.452854411402937[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194089&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194089&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
alpha0.626376683046909
beta0.00619511319476243
gamma0.452854411402937







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13370.47369.5042494658120.965750534187976
14371.44371.0908853959340.349114604065846
15372.39372.2963796878010.0936203121985955
16373.32373.320951603821-0.000951603821249591
17373.77373.801282184101-0.0312821841009168
18373.13373.170409673061-0.0404096730605374
19371.51371.4049131070570.105086892943007
20369.59369.962209984465-0.372209984465144
21368.12368.393678208971-0.27367820897075
22368.38368.2837191055530.096280894446636
23369.64369.647534040415-0.00753404041540762
24371.11370.9692091517430.140790848256756
25372.38372.073989911680.30601008832042
26373.08373.144462624679-0.0644626246785265
27373.87374.047483792935-0.177483792934538
28374.93374.8849999933420.0450000066584835
29375.58375.3879189187270.192081081272875
30375.44374.8952155309130.544784469087233
31373.91373.5229632646410.387036735358777
32371.77372.179278620453-0.409278620452824
33370.72370.6072242048810.112775795119148
34370.5370.806451473486-0.306451473486391
35372.19371.9034009152370.286599084763054
36373.71373.4385134991110.271486500889466
37374.92374.6577239438150.262276056185328
38375.63375.64256049156-0.0125604915599524
39376.51376.563611184028-0.0536111840283411
40377.75377.5214846441120.228515355887623
41378.54378.170073865260.36992613474041
42378.21377.8549698271420.35503017285788
43376.65376.3429581308030.307041869197292
44374.28374.819910681188-0.539910681187848
45373.12373.259332754918-0.139332754917746
46373.1373.233706165276-0.133706165275953
47374.67374.5438649713970.126135028602619
48375.97375.979950307294-0.00995030729438895
49377.03377.0242655085740.00573449142598292
50377.87377.803861978840.0661380211602136
51378.88378.769520406860.110479593140155
52380.42379.8808066835430.539193316457443
53380.62380.752024412873-0.132024412872909
54379.66380.122142900658-0.462142900657568
55377.48378.089135546919-0.609135546918537
56376.07375.8443408976050.2256591023949
57374.1374.829472151541-0.729472151540961
58374.47374.4312555333960.0387444666041574
59376.15375.8901744539410.25982554605946
60377.51377.3842706868860.125729313114164
61378.43378.514048260725-0.0840482607254103
62379.7379.2451006044680.454899395532436
63380.91380.4607547326690.449245267331435
64382.2381.8570697425460.342930257453759
65382.45382.491320022042-0.0413200220416456
66382.14381.8622857126460.277714287354286
67380.6380.270595071550.329404928450288
68378.6378.76132512866-0.161325128659939
69376.72377.347351603195-0.627351603195336
70376.98377.148375544746-0.168375544745629
71378.29378.519456551187-0.2294565511869
72380.07379.6869815477970.383018452202521
73381.36380.9460160505480.413983949451961
74382.19382.0857358090680.104264190932383
75382.65383.084966270505-0.434966270505242
76384.65383.9101751636660.739824836334265
77384.94384.7302886610180.209711338982117
78384.01384.315719991262-0.305719991261526
79382.15382.368307430618-0.21830743061804
80380.33380.431789624712-0.101789624712239
81378.81378.97534493571-0.165344935709868
82379.06379.144296694544-0.0842966945440935
83380.17380.558914533283-0.388914533283412
84381.85381.7307754305110.119224569488551
85382.88382.8293789682190.0506210317813043
86383.77383.687247107250.0827528927499088
87384.42384.579837843772-0.15983784377238
88386.36385.7752900990160.584709900984478
89386.53386.4070859403220.122914059677896
90386.01385.849139564830.160860435169639
91384.45384.2087821017520.241217898247783
92381.96382.58160794033-0.621607940330364
93380.81380.7885839052530.0214160947472237
94381.09381.0887323490080.00126765099162185
95382.37382.506238127985-0.136238127984882
96383.84383.924158577121-0.0841585771211157
97385.42384.8847842685620.535215731437575
98385.72386.054532423989-0.334532423988549
99385.96386.645985068378-0.685985068378272
100387.18387.637089807187-0.457089807187344
101388.5387.5333930863790.966606913620694
102387.88387.5088115218130.371188478186639
103386.38386.0130859202310.366914079768549
104384.15384.318436202209-0.168436202208795
105383.07382.9196034166150.150396583384577
106382.98383.299171003616-0.31917100361602
107384.11384.493490294373-0.383490294372677
108385.54385.765184372159-0.22518437215939
109386.92386.7415587199530.178441280046968
110387.41387.538576145027-0.12857614502667
111388.77388.1982727040950.571727295905305
112389.46390.019490471975-0.559490471974982
113390.18390.0957231128310.0842768871689827
114389.43389.4174893231960.0125106768043111
115387.74387.69474297860.0452570214001753
116385.91385.7051568368820.204843163118312
117384.77384.5926532851770.177346714823443
118384.38384.908327176547-0.528327176547407
119385.99385.9586164454320.0313835545675829
120387.26387.516435774817-0.256435774817305
121388.45388.54087900295-0.0908790029499187
122389.7389.1155607687830.584439231217004
123391.08390.3414362940480.738563705951663
124392.46392.0774788293070.382521170693053
125392.96392.8580654811150.101934518885344
126392.03392.184194313127-0.154194313127107
127390.13390.367366455641-0.237366455641222
128388.15388.231454359395-0.0814543593947405
129386.8386.937558739661-0.137558739660733
130387.18386.9379536722450.242046327755304
131388.59388.5698460720060.0201539279941585

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 370.47 & 369.504249465812 & 0.965750534187976 \tabularnewline
14 & 371.44 & 371.090885395934 & 0.349114604065846 \tabularnewline
15 & 372.39 & 372.296379687801 & 0.0936203121985955 \tabularnewline
16 & 373.32 & 373.320951603821 & -0.000951603821249591 \tabularnewline
17 & 373.77 & 373.801282184101 & -0.0312821841009168 \tabularnewline
18 & 373.13 & 373.170409673061 & -0.0404096730605374 \tabularnewline
19 & 371.51 & 371.404913107057 & 0.105086892943007 \tabularnewline
20 & 369.59 & 369.962209984465 & -0.372209984465144 \tabularnewline
21 & 368.12 & 368.393678208971 & -0.27367820897075 \tabularnewline
22 & 368.38 & 368.283719105553 & 0.096280894446636 \tabularnewline
23 & 369.64 & 369.647534040415 & -0.00753404041540762 \tabularnewline
24 & 371.11 & 370.969209151743 & 0.140790848256756 \tabularnewline
25 & 372.38 & 372.07398991168 & 0.30601008832042 \tabularnewline
26 & 373.08 & 373.144462624679 & -0.0644626246785265 \tabularnewline
27 & 373.87 & 374.047483792935 & -0.177483792934538 \tabularnewline
28 & 374.93 & 374.884999993342 & 0.0450000066584835 \tabularnewline
29 & 375.58 & 375.387918918727 & 0.192081081272875 \tabularnewline
30 & 375.44 & 374.895215530913 & 0.544784469087233 \tabularnewline
31 & 373.91 & 373.522963264641 & 0.387036735358777 \tabularnewline
32 & 371.77 & 372.179278620453 & -0.409278620452824 \tabularnewline
33 & 370.72 & 370.607224204881 & 0.112775795119148 \tabularnewline
34 & 370.5 & 370.806451473486 & -0.306451473486391 \tabularnewline
35 & 372.19 & 371.903400915237 & 0.286599084763054 \tabularnewline
36 & 373.71 & 373.438513499111 & 0.271486500889466 \tabularnewline
37 & 374.92 & 374.657723943815 & 0.262276056185328 \tabularnewline
38 & 375.63 & 375.64256049156 & -0.0125604915599524 \tabularnewline
39 & 376.51 & 376.563611184028 & -0.0536111840283411 \tabularnewline
40 & 377.75 & 377.521484644112 & 0.228515355887623 \tabularnewline
41 & 378.54 & 378.17007386526 & 0.36992613474041 \tabularnewline
42 & 378.21 & 377.854969827142 & 0.35503017285788 \tabularnewline
43 & 376.65 & 376.342958130803 & 0.307041869197292 \tabularnewline
44 & 374.28 & 374.819910681188 & -0.539910681187848 \tabularnewline
45 & 373.12 & 373.259332754918 & -0.139332754917746 \tabularnewline
46 & 373.1 & 373.233706165276 & -0.133706165275953 \tabularnewline
47 & 374.67 & 374.543864971397 & 0.126135028602619 \tabularnewline
48 & 375.97 & 375.979950307294 & -0.00995030729438895 \tabularnewline
49 & 377.03 & 377.024265508574 & 0.00573449142598292 \tabularnewline
50 & 377.87 & 377.80386197884 & 0.0661380211602136 \tabularnewline
51 & 378.88 & 378.76952040686 & 0.110479593140155 \tabularnewline
52 & 380.42 & 379.880806683543 & 0.539193316457443 \tabularnewline
53 & 380.62 & 380.752024412873 & -0.132024412872909 \tabularnewline
54 & 379.66 & 380.122142900658 & -0.462142900657568 \tabularnewline
55 & 377.48 & 378.089135546919 & -0.609135546918537 \tabularnewline
56 & 376.07 & 375.844340897605 & 0.2256591023949 \tabularnewline
57 & 374.1 & 374.829472151541 & -0.729472151540961 \tabularnewline
58 & 374.47 & 374.431255533396 & 0.0387444666041574 \tabularnewline
59 & 376.15 & 375.890174453941 & 0.25982554605946 \tabularnewline
60 & 377.51 & 377.384270686886 & 0.125729313114164 \tabularnewline
61 & 378.43 & 378.514048260725 & -0.0840482607254103 \tabularnewline
62 & 379.7 & 379.245100604468 & 0.454899395532436 \tabularnewline
63 & 380.91 & 380.460754732669 & 0.449245267331435 \tabularnewline
64 & 382.2 & 381.857069742546 & 0.342930257453759 \tabularnewline
65 & 382.45 & 382.491320022042 & -0.0413200220416456 \tabularnewline
66 & 382.14 & 381.862285712646 & 0.277714287354286 \tabularnewline
67 & 380.6 & 380.27059507155 & 0.329404928450288 \tabularnewline
68 & 378.6 & 378.76132512866 & -0.161325128659939 \tabularnewline
69 & 376.72 & 377.347351603195 & -0.627351603195336 \tabularnewline
70 & 376.98 & 377.148375544746 & -0.168375544745629 \tabularnewline
71 & 378.29 & 378.519456551187 & -0.2294565511869 \tabularnewline
72 & 380.07 & 379.686981547797 & 0.383018452202521 \tabularnewline
73 & 381.36 & 380.946016050548 & 0.413983949451961 \tabularnewline
74 & 382.19 & 382.085735809068 & 0.104264190932383 \tabularnewline
75 & 382.65 & 383.084966270505 & -0.434966270505242 \tabularnewline
76 & 384.65 & 383.910175163666 & 0.739824836334265 \tabularnewline
77 & 384.94 & 384.730288661018 & 0.209711338982117 \tabularnewline
78 & 384.01 & 384.315719991262 & -0.305719991261526 \tabularnewline
79 & 382.15 & 382.368307430618 & -0.21830743061804 \tabularnewline
80 & 380.33 & 380.431789624712 & -0.101789624712239 \tabularnewline
81 & 378.81 & 378.97534493571 & -0.165344935709868 \tabularnewline
82 & 379.06 & 379.144296694544 & -0.0842966945440935 \tabularnewline
83 & 380.17 & 380.558914533283 & -0.388914533283412 \tabularnewline
84 & 381.85 & 381.730775430511 & 0.119224569488551 \tabularnewline
85 & 382.88 & 382.829378968219 & 0.0506210317813043 \tabularnewline
86 & 383.77 & 383.68724710725 & 0.0827528927499088 \tabularnewline
87 & 384.42 & 384.579837843772 & -0.15983784377238 \tabularnewline
88 & 386.36 & 385.775290099016 & 0.584709900984478 \tabularnewline
89 & 386.53 & 386.407085940322 & 0.122914059677896 \tabularnewline
90 & 386.01 & 385.84913956483 & 0.160860435169639 \tabularnewline
91 & 384.45 & 384.208782101752 & 0.241217898247783 \tabularnewline
92 & 381.96 & 382.58160794033 & -0.621607940330364 \tabularnewline
93 & 380.81 & 380.788583905253 & 0.0214160947472237 \tabularnewline
94 & 381.09 & 381.088732349008 & 0.00126765099162185 \tabularnewline
95 & 382.37 & 382.506238127985 & -0.136238127984882 \tabularnewline
96 & 383.84 & 383.924158577121 & -0.0841585771211157 \tabularnewline
97 & 385.42 & 384.884784268562 & 0.535215731437575 \tabularnewline
98 & 385.72 & 386.054532423989 & -0.334532423988549 \tabularnewline
99 & 385.96 & 386.645985068378 & -0.685985068378272 \tabularnewline
100 & 387.18 & 387.637089807187 & -0.457089807187344 \tabularnewline
101 & 388.5 & 387.533393086379 & 0.966606913620694 \tabularnewline
102 & 387.88 & 387.508811521813 & 0.371188478186639 \tabularnewline
103 & 386.38 & 386.013085920231 & 0.366914079768549 \tabularnewline
104 & 384.15 & 384.318436202209 & -0.168436202208795 \tabularnewline
105 & 383.07 & 382.919603416615 & 0.150396583384577 \tabularnewline
106 & 382.98 & 383.299171003616 & -0.31917100361602 \tabularnewline
107 & 384.11 & 384.493490294373 & -0.383490294372677 \tabularnewline
108 & 385.54 & 385.765184372159 & -0.22518437215939 \tabularnewline
109 & 386.92 & 386.741558719953 & 0.178441280046968 \tabularnewline
110 & 387.41 & 387.538576145027 & -0.12857614502667 \tabularnewline
111 & 388.77 & 388.198272704095 & 0.571727295905305 \tabularnewline
112 & 389.46 & 390.019490471975 & -0.559490471974982 \tabularnewline
113 & 390.18 & 390.095723112831 & 0.0842768871689827 \tabularnewline
114 & 389.43 & 389.417489323196 & 0.0125106768043111 \tabularnewline
115 & 387.74 & 387.6947429786 & 0.0452570214001753 \tabularnewline
116 & 385.91 & 385.705156836882 & 0.204843163118312 \tabularnewline
117 & 384.77 & 384.592653285177 & 0.177346714823443 \tabularnewline
118 & 384.38 & 384.908327176547 & -0.528327176547407 \tabularnewline
119 & 385.99 & 385.958616445432 & 0.0313835545675829 \tabularnewline
120 & 387.26 & 387.516435774817 & -0.256435774817305 \tabularnewline
121 & 388.45 & 388.54087900295 & -0.0908790029499187 \tabularnewline
122 & 389.7 & 389.115560768783 & 0.584439231217004 \tabularnewline
123 & 391.08 & 390.341436294048 & 0.738563705951663 \tabularnewline
124 & 392.46 & 392.077478829307 & 0.382521170693053 \tabularnewline
125 & 392.96 & 392.858065481115 & 0.101934518885344 \tabularnewline
126 & 392.03 & 392.184194313127 & -0.154194313127107 \tabularnewline
127 & 390.13 & 390.367366455641 & -0.237366455641222 \tabularnewline
128 & 388.15 & 388.231454359395 & -0.0814543593947405 \tabularnewline
129 & 386.8 & 386.937558739661 & -0.137558739660733 \tabularnewline
130 & 387.18 & 386.937953672245 & 0.242046327755304 \tabularnewline
131 & 388.59 & 388.569846072006 & 0.0201539279941585 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194089&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]370.47[/C][C]369.504249465812[/C][C]0.965750534187976[/C][/ROW]
[ROW][C]14[/C][C]371.44[/C][C]371.090885395934[/C][C]0.349114604065846[/C][/ROW]
[ROW][C]15[/C][C]372.39[/C][C]372.296379687801[/C][C]0.0936203121985955[/C][/ROW]
[ROW][C]16[/C][C]373.32[/C][C]373.320951603821[/C][C]-0.000951603821249591[/C][/ROW]
[ROW][C]17[/C][C]373.77[/C][C]373.801282184101[/C][C]-0.0312821841009168[/C][/ROW]
[ROW][C]18[/C][C]373.13[/C][C]373.170409673061[/C][C]-0.0404096730605374[/C][/ROW]
[ROW][C]19[/C][C]371.51[/C][C]371.404913107057[/C][C]0.105086892943007[/C][/ROW]
[ROW][C]20[/C][C]369.59[/C][C]369.962209984465[/C][C]-0.372209984465144[/C][/ROW]
[ROW][C]21[/C][C]368.12[/C][C]368.393678208971[/C][C]-0.27367820897075[/C][/ROW]
[ROW][C]22[/C][C]368.38[/C][C]368.283719105553[/C][C]0.096280894446636[/C][/ROW]
[ROW][C]23[/C][C]369.64[/C][C]369.647534040415[/C][C]-0.00753404041540762[/C][/ROW]
[ROW][C]24[/C][C]371.11[/C][C]370.969209151743[/C][C]0.140790848256756[/C][/ROW]
[ROW][C]25[/C][C]372.38[/C][C]372.07398991168[/C][C]0.30601008832042[/C][/ROW]
[ROW][C]26[/C][C]373.08[/C][C]373.144462624679[/C][C]-0.0644626246785265[/C][/ROW]
[ROW][C]27[/C][C]373.87[/C][C]374.047483792935[/C][C]-0.177483792934538[/C][/ROW]
[ROW][C]28[/C][C]374.93[/C][C]374.884999993342[/C][C]0.0450000066584835[/C][/ROW]
[ROW][C]29[/C][C]375.58[/C][C]375.387918918727[/C][C]0.192081081272875[/C][/ROW]
[ROW][C]30[/C][C]375.44[/C][C]374.895215530913[/C][C]0.544784469087233[/C][/ROW]
[ROW][C]31[/C][C]373.91[/C][C]373.522963264641[/C][C]0.387036735358777[/C][/ROW]
[ROW][C]32[/C][C]371.77[/C][C]372.179278620453[/C][C]-0.409278620452824[/C][/ROW]
[ROW][C]33[/C][C]370.72[/C][C]370.607224204881[/C][C]0.112775795119148[/C][/ROW]
[ROW][C]34[/C][C]370.5[/C][C]370.806451473486[/C][C]-0.306451473486391[/C][/ROW]
[ROW][C]35[/C][C]372.19[/C][C]371.903400915237[/C][C]0.286599084763054[/C][/ROW]
[ROW][C]36[/C][C]373.71[/C][C]373.438513499111[/C][C]0.271486500889466[/C][/ROW]
[ROW][C]37[/C][C]374.92[/C][C]374.657723943815[/C][C]0.262276056185328[/C][/ROW]
[ROW][C]38[/C][C]375.63[/C][C]375.64256049156[/C][C]-0.0125604915599524[/C][/ROW]
[ROW][C]39[/C][C]376.51[/C][C]376.563611184028[/C][C]-0.0536111840283411[/C][/ROW]
[ROW][C]40[/C][C]377.75[/C][C]377.521484644112[/C][C]0.228515355887623[/C][/ROW]
[ROW][C]41[/C][C]378.54[/C][C]378.17007386526[/C][C]0.36992613474041[/C][/ROW]
[ROW][C]42[/C][C]378.21[/C][C]377.854969827142[/C][C]0.35503017285788[/C][/ROW]
[ROW][C]43[/C][C]376.65[/C][C]376.342958130803[/C][C]0.307041869197292[/C][/ROW]
[ROW][C]44[/C][C]374.28[/C][C]374.819910681188[/C][C]-0.539910681187848[/C][/ROW]
[ROW][C]45[/C][C]373.12[/C][C]373.259332754918[/C][C]-0.139332754917746[/C][/ROW]
[ROW][C]46[/C][C]373.1[/C][C]373.233706165276[/C][C]-0.133706165275953[/C][/ROW]
[ROW][C]47[/C][C]374.67[/C][C]374.543864971397[/C][C]0.126135028602619[/C][/ROW]
[ROW][C]48[/C][C]375.97[/C][C]375.979950307294[/C][C]-0.00995030729438895[/C][/ROW]
[ROW][C]49[/C][C]377.03[/C][C]377.024265508574[/C][C]0.00573449142598292[/C][/ROW]
[ROW][C]50[/C][C]377.87[/C][C]377.80386197884[/C][C]0.0661380211602136[/C][/ROW]
[ROW][C]51[/C][C]378.88[/C][C]378.76952040686[/C][C]0.110479593140155[/C][/ROW]
[ROW][C]52[/C][C]380.42[/C][C]379.880806683543[/C][C]0.539193316457443[/C][/ROW]
[ROW][C]53[/C][C]380.62[/C][C]380.752024412873[/C][C]-0.132024412872909[/C][/ROW]
[ROW][C]54[/C][C]379.66[/C][C]380.122142900658[/C][C]-0.462142900657568[/C][/ROW]
[ROW][C]55[/C][C]377.48[/C][C]378.089135546919[/C][C]-0.609135546918537[/C][/ROW]
[ROW][C]56[/C][C]376.07[/C][C]375.844340897605[/C][C]0.2256591023949[/C][/ROW]
[ROW][C]57[/C][C]374.1[/C][C]374.829472151541[/C][C]-0.729472151540961[/C][/ROW]
[ROW][C]58[/C][C]374.47[/C][C]374.431255533396[/C][C]0.0387444666041574[/C][/ROW]
[ROW][C]59[/C][C]376.15[/C][C]375.890174453941[/C][C]0.25982554605946[/C][/ROW]
[ROW][C]60[/C][C]377.51[/C][C]377.384270686886[/C][C]0.125729313114164[/C][/ROW]
[ROW][C]61[/C][C]378.43[/C][C]378.514048260725[/C][C]-0.0840482607254103[/C][/ROW]
[ROW][C]62[/C][C]379.7[/C][C]379.245100604468[/C][C]0.454899395532436[/C][/ROW]
[ROW][C]63[/C][C]380.91[/C][C]380.460754732669[/C][C]0.449245267331435[/C][/ROW]
[ROW][C]64[/C][C]382.2[/C][C]381.857069742546[/C][C]0.342930257453759[/C][/ROW]
[ROW][C]65[/C][C]382.45[/C][C]382.491320022042[/C][C]-0.0413200220416456[/C][/ROW]
[ROW][C]66[/C][C]382.14[/C][C]381.862285712646[/C][C]0.277714287354286[/C][/ROW]
[ROW][C]67[/C][C]380.6[/C][C]380.27059507155[/C][C]0.329404928450288[/C][/ROW]
[ROW][C]68[/C][C]378.6[/C][C]378.76132512866[/C][C]-0.161325128659939[/C][/ROW]
[ROW][C]69[/C][C]376.72[/C][C]377.347351603195[/C][C]-0.627351603195336[/C][/ROW]
[ROW][C]70[/C][C]376.98[/C][C]377.148375544746[/C][C]-0.168375544745629[/C][/ROW]
[ROW][C]71[/C][C]378.29[/C][C]378.519456551187[/C][C]-0.2294565511869[/C][/ROW]
[ROW][C]72[/C][C]380.07[/C][C]379.686981547797[/C][C]0.383018452202521[/C][/ROW]
[ROW][C]73[/C][C]381.36[/C][C]380.946016050548[/C][C]0.413983949451961[/C][/ROW]
[ROW][C]74[/C][C]382.19[/C][C]382.085735809068[/C][C]0.104264190932383[/C][/ROW]
[ROW][C]75[/C][C]382.65[/C][C]383.084966270505[/C][C]-0.434966270505242[/C][/ROW]
[ROW][C]76[/C][C]384.65[/C][C]383.910175163666[/C][C]0.739824836334265[/C][/ROW]
[ROW][C]77[/C][C]384.94[/C][C]384.730288661018[/C][C]0.209711338982117[/C][/ROW]
[ROW][C]78[/C][C]384.01[/C][C]384.315719991262[/C][C]-0.305719991261526[/C][/ROW]
[ROW][C]79[/C][C]382.15[/C][C]382.368307430618[/C][C]-0.21830743061804[/C][/ROW]
[ROW][C]80[/C][C]380.33[/C][C]380.431789624712[/C][C]-0.101789624712239[/C][/ROW]
[ROW][C]81[/C][C]378.81[/C][C]378.97534493571[/C][C]-0.165344935709868[/C][/ROW]
[ROW][C]82[/C][C]379.06[/C][C]379.144296694544[/C][C]-0.0842966945440935[/C][/ROW]
[ROW][C]83[/C][C]380.17[/C][C]380.558914533283[/C][C]-0.388914533283412[/C][/ROW]
[ROW][C]84[/C][C]381.85[/C][C]381.730775430511[/C][C]0.119224569488551[/C][/ROW]
[ROW][C]85[/C][C]382.88[/C][C]382.829378968219[/C][C]0.0506210317813043[/C][/ROW]
[ROW][C]86[/C][C]383.77[/C][C]383.68724710725[/C][C]0.0827528927499088[/C][/ROW]
[ROW][C]87[/C][C]384.42[/C][C]384.579837843772[/C][C]-0.15983784377238[/C][/ROW]
[ROW][C]88[/C][C]386.36[/C][C]385.775290099016[/C][C]0.584709900984478[/C][/ROW]
[ROW][C]89[/C][C]386.53[/C][C]386.407085940322[/C][C]0.122914059677896[/C][/ROW]
[ROW][C]90[/C][C]386.01[/C][C]385.84913956483[/C][C]0.160860435169639[/C][/ROW]
[ROW][C]91[/C][C]384.45[/C][C]384.208782101752[/C][C]0.241217898247783[/C][/ROW]
[ROW][C]92[/C][C]381.96[/C][C]382.58160794033[/C][C]-0.621607940330364[/C][/ROW]
[ROW][C]93[/C][C]380.81[/C][C]380.788583905253[/C][C]0.0214160947472237[/C][/ROW]
[ROW][C]94[/C][C]381.09[/C][C]381.088732349008[/C][C]0.00126765099162185[/C][/ROW]
[ROW][C]95[/C][C]382.37[/C][C]382.506238127985[/C][C]-0.136238127984882[/C][/ROW]
[ROW][C]96[/C][C]383.84[/C][C]383.924158577121[/C][C]-0.0841585771211157[/C][/ROW]
[ROW][C]97[/C][C]385.42[/C][C]384.884784268562[/C][C]0.535215731437575[/C][/ROW]
[ROW][C]98[/C][C]385.72[/C][C]386.054532423989[/C][C]-0.334532423988549[/C][/ROW]
[ROW][C]99[/C][C]385.96[/C][C]386.645985068378[/C][C]-0.685985068378272[/C][/ROW]
[ROW][C]100[/C][C]387.18[/C][C]387.637089807187[/C][C]-0.457089807187344[/C][/ROW]
[ROW][C]101[/C][C]388.5[/C][C]387.533393086379[/C][C]0.966606913620694[/C][/ROW]
[ROW][C]102[/C][C]387.88[/C][C]387.508811521813[/C][C]0.371188478186639[/C][/ROW]
[ROW][C]103[/C][C]386.38[/C][C]386.013085920231[/C][C]0.366914079768549[/C][/ROW]
[ROW][C]104[/C][C]384.15[/C][C]384.318436202209[/C][C]-0.168436202208795[/C][/ROW]
[ROW][C]105[/C][C]383.07[/C][C]382.919603416615[/C][C]0.150396583384577[/C][/ROW]
[ROW][C]106[/C][C]382.98[/C][C]383.299171003616[/C][C]-0.31917100361602[/C][/ROW]
[ROW][C]107[/C][C]384.11[/C][C]384.493490294373[/C][C]-0.383490294372677[/C][/ROW]
[ROW][C]108[/C][C]385.54[/C][C]385.765184372159[/C][C]-0.22518437215939[/C][/ROW]
[ROW][C]109[/C][C]386.92[/C][C]386.741558719953[/C][C]0.178441280046968[/C][/ROW]
[ROW][C]110[/C][C]387.41[/C][C]387.538576145027[/C][C]-0.12857614502667[/C][/ROW]
[ROW][C]111[/C][C]388.77[/C][C]388.198272704095[/C][C]0.571727295905305[/C][/ROW]
[ROW][C]112[/C][C]389.46[/C][C]390.019490471975[/C][C]-0.559490471974982[/C][/ROW]
[ROW][C]113[/C][C]390.18[/C][C]390.095723112831[/C][C]0.0842768871689827[/C][/ROW]
[ROW][C]114[/C][C]389.43[/C][C]389.417489323196[/C][C]0.0125106768043111[/C][/ROW]
[ROW][C]115[/C][C]387.74[/C][C]387.6947429786[/C][C]0.0452570214001753[/C][/ROW]
[ROW][C]116[/C][C]385.91[/C][C]385.705156836882[/C][C]0.204843163118312[/C][/ROW]
[ROW][C]117[/C][C]384.77[/C][C]384.592653285177[/C][C]0.177346714823443[/C][/ROW]
[ROW][C]118[/C][C]384.38[/C][C]384.908327176547[/C][C]-0.528327176547407[/C][/ROW]
[ROW][C]119[/C][C]385.99[/C][C]385.958616445432[/C][C]0.0313835545675829[/C][/ROW]
[ROW][C]120[/C][C]387.26[/C][C]387.516435774817[/C][C]-0.256435774817305[/C][/ROW]
[ROW][C]121[/C][C]388.45[/C][C]388.54087900295[/C][C]-0.0908790029499187[/C][/ROW]
[ROW][C]122[/C][C]389.7[/C][C]389.115560768783[/C][C]0.584439231217004[/C][/ROW]
[ROW][C]123[/C][C]391.08[/C][C]390.341436294048[/C][C]0.738563705951663[/C][/ROW]
[ROW][C]124[/C][C]392.46[/C][C]392.077478829307[/C][C]0.382521170693053[/C][/ROW]
[ROW][C]125[/C][C]392.96[/C][C]392.858065481115[/C][C]0.101934518885344[/C][/ROW]
[ROW][C]126[/C][C]392.03[/C][C]392.184194313127[/C][C]-0.154194313127107[/C][/ROW]
[ROW][C]127[/C][C]390.13[/C][C]390.367366455641[/C][C]-0.237366455641222[/C][/ROW]
[ROW][C]128[/C][C]388.15[/C][C]388.231454359395[/C][C]-0.0814543593947405[/C][/ROW]
[ROW][C]129[/C][C]386.8[/C][C]386.937558739661[/C][C]-0.137558739660733[/C][/ROW]
[ROW][C]130[/C][C]387.18[/C][C]386.937953672245[/C][C]0.242046327755304[/C][/ROW]
[ROW][C]131[/C][C]388.59[/C][C]388.569846072006[/C][C]0.0201539279941585[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194089&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194089&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
13370.47369.5042494658120.965750534187976
14371.44371.0908853959340.349114604065846
15372.39372.2963796878010.0936203121985955
16373.32373.320951603821-0.000951603821249591
17373.77373.801282184101-0.0312821841009168
18373.13373.170409673061-0.0404096730605374
19371.51371.4049131070570.105086892943007
20369.59369.962209984465-0.372209984465144
21368.12368.393678208971-0.27367820897075
22368.38368.2837191055530.096280894446636
23369.64369.647534040415-0.00753404041540762
24371.11370.9692091517430.140790848256756
25372.38372.073989911680.30601008832042
26373.08373.144462624679-0.0644626246785265
27373.87374.047483792935-0.177483792934538
28374.93374.8849999933420.0450000066584835
29375.58375.3879189187270.192081081272875
30375.44374.8952155309130.544784469087233
31373.91373.5229632646410.387036735358777
32371.77372.179278620453-0.409278620452824
33370.72370.6072242048810.112775795119148
34370.5370.806451473486-0.306451473486391
35372.19371.9034009152370.286599084763054
36373.71373.4385134991110.271486500889466
37374.92374.6577239438150.262276056185328
38375.63375.64256049156-0.0125604915599524
39376.51376.563611184028-0.0536111840283411
40377.75377.5214846441120.228515355887623
41378.54378.170073865260.36992613474041
42378.21377.8549698271420.35503017285788
43376.65376.3429581308030.307041869197292
44374.28374.819910681188-0.539910681187848
45373.12373.259332754918-0.139332754917746
46373.1373.233706165276-0.133706165275953
47374.67374.5438649713970.126135028602619
48375.97375.979950307294-0.00995030729438895
49377.03377.0242655085740.00573449142598292
50377.87377.803861978840.0661380211602136
51378.88378.769520406860.110479593140155
52380.42379.8808066835430.539193316457443
53380.62380.752024412873-0.132024412872909
54379.66380.122142900658-0.462142900657568
55377.48378.089135546919-0.609135546918537
56376.07375.8443408976050.2256591023949
57374.1374.829472151541-0.729472151540961
58374.47374.4312555333960.0387444666041574
59376.15375.8901744539410.25982554605946
60377.51377.3842706868860.125729313114164
61378.43378.514048260725-0.0840482607254103
62379.7379.2451006044680.454899395532436
63380.91380.4607547326690.449245267331435
64382.2381.8570697425460.342930257453759
65382.45382.491320022042-0.0413200220416456
66382.14381.8622857126460.277714287354286
67380.6380.270595071550.329404928450288
68378.6378.76132512866-0.161325128659939
69376.72377.347351603195-0.627351603195336
70376.98377.148375544746-0.168375544745629
71378.29378.519456551187-0.2294565511869
72380.07379.6869815477970.383018452202521
73381.36380.9460160505480.413983949451961
74382.19382.0857358090680.104264190932383
75382.65383.084966270505-0.434966270505242
76384.65383.9101751636660.739824836334265
77384.94384.7302886610180.209711338982117
78384.01384.315719991262-0.305719991261526
79382.15382.368307430618-0.21830743061804
80380.33380.431789624712-0.101789624712239
81378.81378.97534493571-0.165344935709868
82379.06379.144296694544-0.0842966945440935
83380.17380.558914533283-0.388914533283412
84381.85381.7307754305110.119224569488551
85382.88382.8293789682190.0506210317813043
86383.77383.687247107250.0827528927499088
87384.42384.579837843772-0.15983784377238
88386.36385.7752900990160.584709900984478
89386.53386.4070859403220.122914059677896
90386.01385.849139564830.160860435169639
91384.45384.2087821017520.241217898247783
92381.96382.58160794033-0.621607940330364
93380.81380.7885839052530.0214160947472237
94381.09381.0887323490080.00126765099162185
95382.37382.506238127985-0.136238127984882
96383.84383.924158577121-0.0841585771211157
97385.42384.8847842685620.535215731437575
98385.72386.054532423989-0.334532423988549
99385.96386.645985068378-0.685985068378272
100387.18387.637089807187-0.457089807187344
101388.5387.5333930863790.966606913620694
102387.88387.5088115218130.371188478186639
103386.38386.0130859202310.366914079768549
104384.15384.318436202209-0.168436202208795
105383.07382.9196034166150.150396583384577
106382.98383.299171003616-0.31917100361602
107384.11384.493490294373-0.383490294372677
108385.54385.765184372159-0.22518437215939
109386.92386.7415587199530.178441280046968
110387.41387.538576145027-0.12857614502667
111388.77388.1982727040950.571727295905305
112389.46390.019490471975-0.559490471974982
113390.18390.0957231128310.0842768871689827
114389.43389.4174893231960.0125106768043111
115387.74387.69474297860.0452570214001753
116385.91385.7051568368820.204843163118312
117384.77384.5926532851770.177346714823443
118384.38384.908327176547-0.528327176547407
119385.99385.9586164454320.0313835545675829
120387.26387.516435774817-0.256435774817305
121388.45388.54087900295-0.0908790029499187
122389.7389.1155607687830.584439231217004
123391.08390.3414362940480.738563705951663
124392.46392.0774788293070.382521170693053
125392.96392.8580654811150.101934518885344
126392.03392.184194313127-0.154194313127107
127390.13390.367366455641-0.237366455641222
128388.15388.231454359395-0.0814543593947405
129386.8386.937558739661-0.137558739660733
130387.18386.9379536722450.242046327755304
131388.59388.5698460720060.0201539279941585







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
132390.076247463491389.422292321916390.730202605065
133391.294637073858390.521634410538392.067639737178
134392.046167067417391.168951479422392.923382655411
135392.935434919918391.964048067243393.906821772593
136394.149145116659393.090938290898395.20735194242
137394.641698715221393.502335791113395.781061639328
138393.859290064893392.64329505784395.075285071946
139392.124219947723390.835304698946393.4131351965
140390.163536105134388.804809960438391.52226224983
141388.911652574084387.485763591789390.33754155638
142389.063456581308387.572690550511390.554222612105
143390.506271490846388.952623679429392.059919302263

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
132 & 390.076247463491 & 389.422292321916 & 390.730202605065 \tabularnewline
133 & 391.294637073858 & 390.521634410538 & 392.067639737178 \tabularnewline
134 & 392.046167067417 & 391.168951479422 & 392.923382655411 \tabularnewline
135 & 392.935434919918 & 391.964048067243 & 393.906821772593 \tabularnewline
136 & 394.149145116659 & 393.090938290898 & 395.20735194242 \tabularnewline
137 & 394.641698715221 & 393.502335791113 & 395.781061639328 \tabularnewline
138 & 393.859290064893 & 392.64329505784 & 395.075285071946 \tabularnewline
139 & 392.124219947723 & 390.835304698946 & 393.4131351965 \tabularnewline
140 & 390.163536105134 & 388.804809960438 & 391.52226224983 \tabularnewline
141 & 388.911652574084 & 387.485763591789 & 390.33754155638 \tabularnewline
142 & 389.063456581308 & 387.572690550511 & 390.554222612105 \tabularnewline
143 & 390.506271490846 & 388.952623679429 & 392.059919302263 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194089&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]132[/C][C]390.076247463491[/C][C]389.422292321916[/C][C]390.730202605065[/C][/ROW]
[ROW][C]133[/C][C]391.294637073858[/C][C]390.521634410538[/C][C]392.067639737178[/C][/ROW]
[ROW][C]134[/C][C]392.046167067417[/C][C]391.168951479422[/C][C]392.923382655411[/C][/ROW]
[ROW][C]135[/C][C]392.935434919918[/C][C]391.964048067243[/C][C]393.906821772593[/C][/ROW]
[ROW][C]136[/C][C]394.149145116659[/C][C]393.090938290898[/C][C]395.20735194242[/C][/ROW]
[ROW][C]137[/C][C]394.641698715221[/C][C]393.502335791113[/C][C]395.781061639328[/C][/ROW]
[ROW][C]138[/C][C]393.859290064893[/C][C]392.64329505784[/C][C]395.075285071946[/C][/ROW]
[ROW][C]139[/C][C]392.124219947723[/C][C]390.835304698946[/C][C]393.4131351965[/C][/ROW]
[ROW][C]140[/C][C]390.163536105134[/C][C]388.804809960438[/C][C]391.52226224983[/C][/ROW]
[ROW][C]141[/C][C]388.911652574084[/C][C]387.485763591789[/C][C]390.33754155638[/C][/ROW]
[ROW][C]142[/C][C]389.063456581308[/C][C]387.572690550511[/C][C]390.554222612105[/C][/ROW]
[ROW][C]143[/C][C]390.506271490846[/C][C]388.952623679429[/C][C]392.059919302263[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194089&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194089&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
132390.076247463491389.422292321916390.730202605065
133391.294637073858390.521634410538392.067639737178
134392.046167067417391.168951479422392.923382655411
135392.935434919918391.964048067243393.906821772593
136394.149145116659393.090938290898395.20735194242
137394.641698715221393.502335791113395.781061639328
138393.859290064893392.64329505784395.075285071946
139392.124219947723390.835304698946393.4131351965
140390.163536105134388.804809960438391.52226224983
141388.911652574084387.485763591789390.33754155638
142389.063456581308387.572690550511390.554222612105
143390.506271490846388.952623679429392.059919302263



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):
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')