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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 16 Dec 2010 17:57:57 +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/2010/Dec/16/t1292522276xq272htw26ihuw9.htm/, Retrieved Fri, 03 May 2024 04:44:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111118, Retrieved Fri, 03 May 2024 04:44:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact174
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-12-16 17:57:57] [30681199eb2b91d06bf445c1ee7d20a2] [Current]
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Dataseries X:
98.6
100.1
98.8
98.3
102.8
103.6
105.2
100.1
98.2
98.4
97.4
98.4
100.3
101.1
104.1
107.3
110.1
112.6
114.3
115.3
109.9
108.2
103.2
101.8
105.6
108.2
109.8
114.6
117.2
116.5
116.1
112.1
106.8
106.9
104.5
103
105.9
107.7
107.1
112.5
114.5
114.6
113.1
112.8
111.9
112
112.4
110
112.3
109.6
111.9
110.8
110.4
110.8
114
108.4
110.5
105.1
102.3
104.3
103.4
102.4
104.5
107.3
110.1
111.8
111.8
105.7
106
106.4
107.1
111.5
109.6
109.9
109.3
111.4
112.9
115.5
118.4
116.2
113.3
113.8
114.1
117.1
115.5
115.2
114.2
115.3
118.8
118
118.1
111.8
112
114.3
115
118.5
117.6
119.1
120.6
123.6
122.7
123.8
123.1
124.5
120.7
118.7
119
122.3
118.6
118.1
118.2
120.8
119.7
119.7
117.1
114.5
116.5
116.4
114.9
115.5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111118&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111118&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111118&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 time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111118&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]0.999933893038648[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111118&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111118&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2100.198.61.5
398.8100.099900839558-1.29990083955796
498.398.8000859324946-0.500085932494557
5102.898.30003305916144.49996694083859
6103.6102.7997025208590.800297479140639
7105.2103.5999470947651.60005290523453
8100.1105.199894225364-5.09989422536444
998.2100.100337138510-1.90033713851045
1098.498.20012562551380.199874374486228
1197.498.3999867869125-0.999986786912444
1298.497.40006610608790.999933893912129
13100.398.39993389740871.90006610259127
14101.1100.2998743924040.800125607596414
15104.1101.0999471061273.00005289387262
16107.3104.0998016756193.20019832438071
17110.1107.2997884446132.80021155538695
18112.6110.0998148865232.50018511347707
19114.3112.5998347203591.70016527964067
20115.3114.2998876072401.00011239276043
21109.9115.299933885609-5.39993388560869
22108.2109.900356973221-1.70035697322068
23103.2108.200112405433-5.00011240543272
24101.8103.200330542238-1.40033054223754
25105.6101.8000925715973.79990742840296
26108.2105.5997487996662.60025120033352
27109.8108.1998281052941.60017189470560
28114.6109.7998942174984.8001057825016
29117.2114.5996826795932.60031732040746
30116.5117.199828100923-0.699828100923398
31116.1116.500046263509-0.400046263509225
32112.1116.100026445843-4.00002644584288
33106.8112.100264429594-5.30026442959365
34106.9106.8003503843760.0996496156242017
35104.5106.899993412467-2.39999341246671
36103104.500158656272-1.50015865627176
37105.9103.0000991709302.89990082906969
38107.7105.8998082963681.80019170363202
39107.1107.699880994797-0.599880994796635
40112.5107.1000396563105.39996034369027
41114.5112.4996430250302.00035697496975
42114.6114.4998677624790.100132237521223
43113.1114.599993380562-1.49999338056205
44112.8113.100099160004-0.300099160004436
45111.9112.800019838644-0.900019838643559
46112111.9000594975770.0999405024233084
47112.4111.9999933932370.400006606762943
48110112.399973556779-2.39997355677872
49112.3110.0001586549592.29984134504083
50109.6112.299847964477-2.69984796447709
51111.9109.6001784787452.29982152125497
52110.8111.899847965788-1.09984796578759
53110.4110.800072707607-0.400072707606952
54110.8110.4000264475910.399973552408966
55114110.7999735589643.20002644103617
56108.4113.999788455976-5.59978845597573
57110.5108.4003701849992.09962981500095
58105.1110.499861199853-5.39986119985298
59102.3105.100356968416-2.80035696841564
60104.3102.3001851230901.99981487691012
61103.4104.299867798315-0.899867798315213
62102.4103.400059487526-1.00005948752576
63104.5102.4000661108942.09993388910610
64107.3104.4998611797522.80013882024845
65110.1107.2998148913312.80018510866877
66111.8110.0998148882711.70018511172876
67111.8111.7998876059290.000112394071479116
68105.7111.79999999257-6.09999999256996
69106105.7004032524640.299596747536242
70106.4105.9999801945690.400019805430617
71107.1106.3999735559060.700026444093808
72111.5107.0999537233794.4000462766211
73109.6111.499709126311-1.89970912631085
74109.9109.6001255839980.299874416002226
75109.3109.899980176214-0.599980176213577
76111.4109.3000396628662.09996033713369
77112.9111.3998611780031.50013882199684
78115.5112.8999008303812.60009916961913
79118.4115.4998281153452.90017188465532
80116.2118.399808278449-2.19980827844931
81113.3116.200145422641-2.90014542264085
82113.8113.3001917198010.499808280198636
83114.1113.7999669591930.300033040806653
84117.1114.0999801657273.00001983427263
85115.5117.099801677805-1.59980167780475
86115.2115.500105758028-0.300105758027684
87114.2115.200019839080-1.00001983907974
88115.3114.2000661082731.09993389172715
89118.8115.2999272867133.50007271328727
90118118.799768620828-0.799768620828416
91118.1118.0000528702730.0999471297266865
92111.8118.099993392799-6.29999339279895
93112111.8004164734200.199583526580270
94114.3111.9999868061402.30001319386048
95115114.2998479531170.700152046883318
96118.5114.9999537150763.50004628492431
97117.6118.499768622576-0.899768622575522
98119.1117.6000594809701.49994051903045
99120.6119.099900843491.50009915650992
100123.6120.5999008330033.00009916699696
101122.7123.599801672560-0.8998016725603
102123.8122.7000594831541.09994051684561
103123.1123.799927286275-0.699927286274772
104124.5123.1000462700661.39995372993394
105120.7124.499907453313-3.79990745331288
106118.7120.700251200335-2.00025120033516
107119118.7001322305290.299867769471206
108122.3118.9999801766533.30001982334704
109118.6122.299781845717-3.69978184571708
110118.1118.600244581335-0.50024458133548
111118.2118.1000330696490.0999669303508028
112120.8118.199993391492.60000660851
113119.7120.799828121464-1.09982812146362
114119.7119.700072706295-7.27062951142443e-05
115117.1119.700000004806-2.60000000480640
116114.5117.100171878100-2.60017187809983
117116.5114.5001718894621.99982811053815
118116.4116.499867797440-0.0998677974403819
119114.9116.400006601957-1.50000660195663
120115.5114.9000991608780.599900839121531

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 100.1 & 98.6 & 1.5 \tabularnewline
3 & 98.8 & 100.099900839558 & -1.29990083955796 \tabularnewline
4 & 98.3 & 98.8000859324946 & -0.500085932494557 \tabularnewline
5 & 102.8 & 98.3000330591614 & 4.49996694083859 \tabularnewline
6 & 103.6 & 102.799702520859 & 0.800297479140639 \tabularnewline
7 & 105.2 & 103.599947094765 & 1.60005290523453 \tabularnewline
8 & 100.1 & 105.199894225364 & -5.09989422536444 \tabularnewline
9 & 98.2 & 100.100337138510 & -1.90033713851045 \tabularnewline
10 & 98.4 & 98.2001256255138 & 0.199874374486228 \tabularnewline
11 & 97.4 & 98.3999867869125 & -0.999986786912444 \tabularnewline
12 & 98.4 & 97.4000661060879 & 0.999933893912129 \tabularnewline
13 & 100.3 & 98.3999338974087 & 1.90006610259127 \tabularnewline
14 & 101.1 & 100.299874392404 & 0.800125607596414 \tabularnewline
15 & 104.1 & 101.099947106127 & 3.00005289387262 \tabularnewline
16 & 107.3 & 104.099801675619 & 3.20019832438071 \tabularnewline
17 & 110.1 & 107.299788444613 & 2.80021155538695 \tabularnewline
18 & 112.6 & 110.099814886523 & 2.50018511347707 \tabularnewline
19 & 114.3 & 112.599834720359 & 1.70016527964067 \tabularnewline
20 & 115.3 & 114.299887607240 & 1.00011239276043 \tabularnewline
21 & 109.9 & 115.299933885609 & -5.39993388560869 \tabularnewline
22 & 108.2 & 109.900356973221 & -1.70035697322068 \tabularnewline
23 & 103.2 & 108.200112405433 & -5.00011240543272 \tabularnewline
24 & 101.8 & 103.200330542238 & -1.40033054223754 \tabularnewline
25 & 105.6 & 101.800092571597 & 3.79990742840296 \tabularnewline
26 & 108.2 & 105.599748799666 & 2.60025120033352 \tabularnewline
27 & 109.8 & 108.199828105294 & 1.60017189470560 \tabularnewline
28 & 114.6 & 109.799894217498 & 4.8001057825016 \tabularnewline
29 & 117.2 & 114.599682679593 & 2.60031732040746 \tabularnewline
30 & 116.5 & 117.199828100923 & -0.699828100923398 \tabularnewline
31 & 116.1 & 116.500046263509 & -0.400046263509225 \tabularnewline
32 & 112.1 & 116.100026445843 & -4.00002644584288 \tabularnewline
33 & 106.8 & 112.100264429594 & -5.30026442959365 \tabularnewline
34 & 106.9 & 106.800350384376 & 0.0996496156242017 \tabularnewline
35 & 104.5 & 106.899993412467 & -2.39999341246671 \tabularnewline
36 & 103 & 104.500158656272 & -1.50015865627176 \tabularnewline
37 & 105.9 & 103.000099170930 & 2.89990082906969 \tabularnewline
38 & 107.7 & 105.899808296368 & 1.80019170363202 \tabularnewline
39 & 107.1 & 107.699880994797 & -0.599880994796635 \tabularnewline
40 & 112.5 & 107.100039656310 & 5.39996034369027 \tabularnewline
41 & 114.5 & 112.499643025030 & 2.00035697496975 \tabularnewline
42 & 114.6 & 114.499867762479 & 0.100132237521223 \tabularnewline
43 & 113.1 & 114.599993380562 & -1.49999338056205 \tabularnewline
44 & 112.8 & 113.100099160004 & -0.300099160004436 \tabularnewline
45 & 111.9 & 112.800019838644 & -0.900019838643559 \tabularnewline
46 & 112 & 111.900059497577 & 0.0999405024233084 \tabularnewline
47 & 112.4 & 111.999993393237 & 0.400006606762943 \tabularnewline
48 & 110 & 112.399973556779 & -2.39997355677872 \tabularnewline
49 & 112.3 & 110.000158654959 & 2.29984134504083 \tabularnewline
50 & 109.6 & 112.299847964477 & -2.69984796447709 \tabularnewline
51 & 111.9 & 109.600178478745 & 2.29982152125497 \tabularnewline
52 & 110.8 & 111.899847965788 & -1.09984796578759 \tabularnewline
53 & 110.4 & 110.800072707607 & -0.400072707606952 \tabularnewline
54 & 110.8 & 110.400026447591 & 0.399973552408966 \tabularnewline
55 & 114 & 110.799973558964 & 3.20002644103617 \tabularnewline
56 & 108.4 & 113.999788455976 & -5.59978845597573 \tabularnewline
57 & 110.5 & 108.400370184999 & 2.09962981500095 \tabularnewline
58 & 105.1 & 110.499861199853 & -5.39986119985298 \tabularnewline
59 & 102.3 & 105.100356968416 & -2.80035696841564 \tabularnewline
60 & 104.3 & 102.300185123090 & 1.99981487691012 \tabularnewline
61 & 103.4 & 104.299867798315 & -0.899867798315213 \tabularnewline
62 & 102.4 & 103.400059487526 & -1.00005948752576 \tabularnewline
63 & 104.5 & 102.400066110894 & 2.09993388910610 \tabularnewline
64 & 107.3 & 104.499861179752 & 2.80013882024845 \tabularnewline
65 & 110.1 & 107.299814891331 & 2.80018510866877 \tabularnewline
66 & 111.8 & 110.099814888271 & 1.70018511172876 \tabularnewline
67 & 111.8 & 111.799887605929 & 0.000112394071479116 \tabularnewline
68 & 105.7 & 111.79999999257 & -6.09999999256996 \tabularnewline
69 & 106 & 105.700403252464 & 0.299596747536242 \tabularnewline
70 & 106.4 & 105.999980194569 & 0.400019805430617 \tabularnewline
71 & 107.1 & 106.399973555906 & 0.700026444093808 \tabularnewline
72 & 111.5 & 107.099953723379 & 4.4000462766211 \tabularnewline
73 & 109.6 & 111.499709126311 & -1.89970912631085 \tabularnewline
74 & 109.9 & 109.600125583998 & 0.299874416002226 \tabularnewline
75 & 109.3 & 109.899980176214 & -0.599980176213577 \tabularnewline
76 & 111.4 & 109.300039662866 & 2.09996033713369 \tabularnewline
77 & 112.9 & 111.399861178003 & 1.50013882199684 \tabularnewline
78 & 115.5 & 112.899900830381 & 2.60009916961913 \tabularnewline
79 & 118.4 & 115.499828115345 & 2.90017188465532 \tabularnewline
80 & 116.2 & 118.399808278449 & -2.19980827844931 \tabularnewline
81 & 113.3 & 116.200145422641 & -2.90014542264085 \tabularnewline
82 & 113.8 & 113.300191719801 & 0.499808280198636 \tabularnewline
83 & 114.1 & 113.799966959193 & 0.300033040806653 \tabularnewline
84 & 117.1 & 114.099980165727 & 3.00001983427263 \tabularnewline
85 & 115.5 & 117.099801677805 & -1.59980167780475 \tabularnewline
86 & 115.2 & 115.500105758028 & -0.300105758027684 \tabularnewline
87 & 114.2 & 115.200019839080 & -1.00001983907974 \tabularnewline
88 & 115.3 & 114.200066108273 & 1.09993389172715 \tabularnewline
89 & 118.8 & 115.299927286713 & 3.50007271328727 \tabularnewline
90 & 118 & 118.799768620828 & -0.799768620828416 \tabularnewline
91 & 118.1 & 118.000052870273 & 0.0999471297266865 \tabularnewline
92 & 111.8 & 118.099993392799 & -6.29999339279895 \tabularnewline
93 & 112 & 111.800416473420 & 0.199583526580270 \tabularnewline
94 & 114.3 & 111.999986806140 & 2.30001319386048 \tabularnewline
95 & 115 & 114.299847953117 & 0.700152046883318 \tabularnewline
96 & 118.5 & 114.999953715076 & 3.50004628492431 \tabularnewline
97 & 117.6 & 118.499768622576 & -0.899768622575522 \tabularnewline
98 & 119.1 & 117.600059480970 & 1.49994051903045 \tabularnewline
99 & 120.6 & 119.09990084349 & 1.50009915650992 \tabularnewline
100 & 123.6 & 120.599900833003 & 3.00009916699696 \tabularnewline
101 & 122.7 & 123.599801672560 & -0.8998016725603 \tabularnewline
102 & 123.8 & 122.700059483154 & 1.09994051684561 \tabularnewline
103 & 123.1 & 123.799927286275 & -0.699927286274772 \tabularnewline
104 & 124.5 & 123.100046270066 & 1.39995372993394 \tabularnewline
105 & 120.7 & 124.499907453313 & -3.79990745331288 \tabularnewline
106 & 118.7 & 120.700251200335 & -2.00025120033516 \tabularnewline
107 & 119 & 118.700132230529 & 0.299867769471206 \tabularnewline
108 & 122.3 & 118.999980176653 & 3.30001982334704 \tabularnewline
109 & 118.6 & 122.299781845717 & -3.69978184571708 \tabularnewline
110 & 118.1 & 118.600244581335 & -0.50024458133548 \tabularnewline
111 & 118.2 & 118.100033069649 & 0.0999669303508028 \tabularnewline
112 & 120.8 & 118.19999339149 & 2.60000660851 \tabularnewline
113 & 119.7 & 120.799828121464 & -1.09982812146362 \tabularnewline
114 & 119.7 & 119.700072706295 & -7.27062951142443e-05 \tabularnewline
115 & 117.1 & 119.700000004806 & -2.60000000480640 \tabularnewline
116 & 114.5 & 117.100171878100 & -2.60017187809983 \tabularnewline
117 & 116.5 & 114.500171889462 & 1.99982811053815 \tabularnewline
118 & 116.4 & 116.499867797440 & -0.0998677974403819 \tabularnewline
119 & 114.9 & 116.400006601957 & -1.50000660195663 \tabularnewline
120 & 115.5 & 114.900099160878 & 0.599900839121531 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111118&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]2[/C][C]100.1[/C][C]98.6[/C][C]1.5[/C][/ROW]
[ROW][C]3[/C][C]98.8[/C][C]100.099900839558[/C][C]-1.29990083955796[/C][/ROW]
[ROW][C]4[/C][C]98.3[/C][C]98.8000859324946[/C][C]-0.500085932494557[/C][/ROW]
[ROW][C]5[/C][C]102.8[/C][C]98.3000330591614[/C][C]4.49996694083859[/C][/ROW]
[ROW][C]6[/C][C]103.6[/C][C]102.799702520859[/C][C]0.800297479140639[/C][/ROW]
[ROW][C]7[/C][C]105.2[/C][C]103.599947094765[/C][C]1.60005290523453[/C][/ROW]
[ROW][C]8[/C][C]100.1[/C][C]105.199894225364[/C][C]-5.09989422536444[/C][/ROW]
[ROW][C]9[/C][C]98.2[/C][C]100.100337138510[/C][C]-1.90033713851045[/C][/ROW]
[ROW][C]10[/C][C]98.4[/C][C]98.2001256255138[/C][C]0.199874374486228[/C][/ROW]
[ROW][C]11[/C][C]97.4[/C][C]98.3999867869125[/C][C]-0.999986786912444[/C][/ROW]
[ROW][C]12[/C][C]98.4[/C][C]97.4000661060879[/C][C]0.999933893912129[/C][/ROW]
[ROW][C]13[/C][C]100.3[/C][C]98.3999338974087[/C][C]1.90006610259127[/C][/ROW]
[ROW][C]14[/C][C]101.1[/C][C]100.299874392404[/C][C]0.800125607596414[/C][/ROW]
[ROW][C]15[/C][C]104.1[/C][C]101.099947106127[/C][C]3.00005289387262[/C][/ROW]
[ROW][C]16[/C][C]107.3[/C][C]104.099801675619[/C][C]3.20019832438071[/C][/ROW]
[ROW][C]17[/C][C]110.1[/C][C]107.299788444613[/C][C]2.80021155538695[/C][/ROW]
[ROW][C]18[/C][C]112.6[/C][C]110.099814886523[/C][C]2.50018511347707[/C][/ROW]
[ROW][C]19[/C][C]114.3[/C][C]112.599834720359[/C][C]1.70016527964067[/C][/ROW]
[ROW][C]20[/C][C]115.3[/C][C]114.299887607240[/C][C]1.00011239276043[/C][/ROW]
[ROW][C]21[/C][C]109.9[/C][C]115.299933885609[/C][C]-5.39993388560869[/C][/ROW]
[ROW][C]22[/C][C]108.2[/C][C]109.900356973221[/C][C]-1.70035697322068[/C][/ROW]
[ROW][C]23[/C][C]103.2[/C][C]108.200112405433[/C][C]-5.00011240543272[/C][/ROW]
[ROW][C]24[/C][C]101.8[/C][C]103.200330542238[/C][C]-1.40033054223754[/C][/ROW]
[ROW][C]25[/C][C]105.6[/C][C]101.800092571597[/C][C]3.79990742840296[/C][/ROW]
[ROW][C]26[/C][C]108.2[/C][C]105.599748799666[/C][C]2.60025120033352[/C][/ROW]
[ROW][C]27[/C][C]109.8[/C][C]108.199828105294[/C][C]1.60017189470560[/C][/ROW]
[ROW][C]28[/C][C]114.6[/C][C]109.799894217498[/C][C]4.8001057825016[/C][/ROW]
[ROW][C]29[/C][C]117.2[/C][C]114.599682679593[/C][C]2.60031732040746[/C][/ROW]
[ROW][C]30[/C][C]116.5[/C][C]117.199828100923[/C][C]-0.699828100923398[/C][/ROW]
[ROW][C]31[/C][C]116.1[/C][C]116.500046263509[/C][C]-0.400046263509225[/C][/ROW]
[ROW][C]32[/C][C]112.1[/C][C]116.100026445843[/C][C]-4.00002644584288[/C][/ROW]
[ROW][C]33[/C][C]106.8[/C][C]112.100264429594[/C][C]-5.30026442959365[/C][/ROW]
[ROW][C]34[/C][C]106.9[/C][C]106.800350384376[/C][C]0.0996496156242017[/C][/ROW]
[ROW][C]35[/C][C]104.5[/C][C]106.899993412467[/C][C]-2.39999341246671[/C][/ROW]
[ROW][C]36[/C][C]103[/C][C]104.500158656272[/C][C]-1.50015865627176[/C][/ROW]
[ROW][C]37[/C][C]105.9[/C][C]103.000099170930[/C][C]2.89990082906969[/C][/ROW]
[ROW][C]38[/C][C]107.7[/C][C]105.899808296368[/C][C]1.80019170363202[/C][/ROW]
[ROW][C]39[/C][C]107.1[/C][C]107.699880994797[/C][C]-0.599880994796635[/C][/ROW]
[ROW][C]40[/C][C]112.5[/C][C]107.100039656310[/C][C]5.39996034369027[/C][/ROW]
[ROW][C]41[/C][C]114.5[/C][C]112.499643025030[/C][C]2.00035697496975[/C][/ROW]
[ROW][C]42[/C][C]114.6[/C][C]114.499867762479[/C][C]0.100132237521223[/C][/ROW]
[ROW][C]43[/C][C]113.1[/C][C]114.599993380562[/C][C]-1.49999338056205[/C][/ROW]
[ROW][C]44[/C][C]112.8[/C][C]113.100099160004[/C][C]-0.300099160004436[/C][/ROW]
[ROW][C]45[/C][C]111.9[/C][C]112.800019838644[/C][C]-0.900019838643559[/C][/ROW]
[ROW][C]46[/C][C]112[/C][C]111.900059497577[/C][C]0.0999405024233084[/C][/ROW]
[ROW][C]47[/C][C]112.4[/C][C]111.999993393237[/C][C]0.400006606762943[/C][/ROW]
[ROW][C]48[/C][C]110[/C][C]112.399973556779[/C][C]-2.39997355677872[/C][/ROW]
[ROW][C]49[/C][C]112.3[/C][C]110.000158654959[/C][C]2.29984134504083[/C][/ROW]
[ROW][C]50[/C][C]109.6[/C][C]112.299847964477[/C][C]-2.69984796447709[/C][/ROW]
[ROW][C]51[/C][C]111.9[/C][C]109.600178478745[/C][C]2.29982152125497[/C][/ROW]
[ROW][C]52[/C][C]110.8[/C][C]111.899847965788[/C][C]-1.09984796578759[/C][/ROW]
[ROW][C]53[/C][C]110.4[/C][C]110.800072707607[/C][C]-0.400072707606952[/C][/ROW]
[ROW][C]54[/C][C]110.8[/C][C]110.400026447591[/C][C]0.399973552408966[/C][/ROW]
[ROW][C]55[/C][C]114[/C][C]110.799973558964[/C][C]3.20002644103617[/C][/ROW]
[ROW][C]56[/C][C]108.4[/C][C]113.999788455976[/C][C]-5.59978845597573[/C][/ROW]
[ROW][C]57[/C][C]110.5[/C][C]108.400370184999[/C][C]2.09962981500095[/C][/ROW]
[ROW][C]58[/C][C]105.1[/C][C]110.499861199853[/C][C]-5.39986119985298[/C][/ROW]
[ROW][C]59[/C][C]102.3[/C][C]105.100356968416[/C][C]-2.80035696841564[/C][/ROW]
[ROW][C]60[/C][C]104.3[/C][C]102.300185123090[/C][C]1.99981487691012[/C][/ROW]
[ROW][C]61[/C][C]103.4[/C][C]104.299867798315[/C][C]-0.899867798315213[/C][/ROW]
[ROW][C]62[/C][C]102.4[/C][C]103.400059487526[/C][C]-1.00005948752576[/C][/ROW]
[ROW][C]63[/C][C]104.5[/C][C]102.400066110894[/C][C]2.09993388910610[/C][/ROW]
[ROW][C]64[/C][C]107.3[/C][C]104.499861179752[/C][C]2.80013882024845[/C][/ROW]
[ROW][C]65[/C][C]110.1[/C][C]107.299814891331[/C][C]2.80018510866877[/C][/ROW]
[ROW][C]66[/C][C]111.8[/C][C]110.099814888271[/C][C]1.70018511172876[/C][/ROW]
[ROW][C]67[/C][C]111.8[/C][C]111.799887605929[/C][C]0.000112394071479116[/C][/ROW]
[ROW][C]68[/C][C]105.7[/C][C]111.79999999257[/C][C]-6.09999999256996[/C][/ROW]
[ROW][C]69[/C][C]106[/C][C]105.700403252464[/C][C]0.299596747536242[/C][/ROW]
[ROW][C]70[/C][C]106.4[/C][C]105.999980194569[/C][C]0.400019805430617[/C][/ROW]
[ROW][C]71[/C][C]107.1[/C][C]106.399973555906[/C][C]0.700026444093808[/C][/ROW]
[ROW][C]72[/C][C]111.5[/C][C]107.099953723379[/C][C]4.4000462766211[/C][/ROW]
[ROW][C]73[/C][C]109.6[/C][C]111.499709126311[/C][C]-1.89970912631085[/C][/ROW]
[ROW][C]74[/C][C]109.9[/C][C]109.600125583998[/C][C]0.299874416002226[/C][/ROW]
[ROW][C]75[/C][C]109.3[/C][C]109.899980176214[/C][C]-0.599980176213577[/C][/ROW]
[ROW][C]76[/C][C]111.4[/C][C]109.300039662866[/C][C]2.09996033713369[/C][/ROW]
[ROW][C]77[/C][C]112.9[/C][C]111.399861178003[/C][C]1.50013882199684[/C][/ROW]
[ROW][C]78[/C][C]115.5[/C][C]112.899900830381[/C][C]2.60009916961913[/C][/ROW]
[ROW][C]79[/C][C]118.4[/C][C]115.499828115345[/C][C]2.90017188465532[/C][/ROW]
[ROW][C]80[/C][C]116.2[/C][C]118.399808278449[/C][C]-2.19980827844931[/C][/ROW]
[ROW][C]81[/C][C]113.3[/C][C]116.200145422641[/C][C]-2.90014542264085[/C][/ROW]
[ROW][C]82[/C][C]113.8[/C][C]113.300191719801[/C][C]0.499808280198636[/C][/ROW]
[ROW][C]83[/C][C]114.1[/C][C]113.799966959193[/C][C]0.300033040806653[/C][/ROW]
[ROW][C]84[/C][C]117.1[/C][C]114.099980165727[/C][C]3.00001983427263[/C][/ROW]
[ROW][C]85[/C][C]115.5[/C][C]117.099801677805[/C][C]-1.59980167780475[/C][/ROW]
[ROW][C]86[/C][C]115.2[/C][C]115.500105758028[/C][C]-0.300105758027684[/C][/ROW]
[ROW][C]87[/C][C]114.2[/C][C]115.200019839080[/C][C]-1.00001983907974[/C][/ROW]
[ROW][C]88[/C][C]115.3[/C][C]114.200066108273[/C][C]1.09993389172715[/C][/ROW]
[ROW][C]89[/C][C]118.8[/C][C]115.299927286713[/C][C]3.50007271328727[/C][/ROW]
[ROW][C]90[/C][C]118[/C][C]118.799768620828[/C][C]-0.799768620828416[/C][/ROW]
[ROW][C]91[/C][C]118.1[/C][C]118.000052870273[/C][C]0.0999471297266865[/C][/ROW]
[ROW][C]92[/C][C]111.8[/C][C]118.099993392799[/C][C]-6.29999339279895[/C][/ROW]
[ROW][C]93[/C][C]112[/C][C]111.800416473420[/C][C]0.199583526580270[/C][/ROW]
[ROW][C]94[/C][C]114.3[/C][C]111.999986806140[/C][C]2.30001319386048[/C][/ROW]
[ROW][C]95[/C][C]115[/C][C]114.299847953117[/C][C]0.700152046883318[/C][/ROW]
[ROW][C]96[/C][C]118.5[/C][C]114.999953715076[/C][C]3.50004628492431[/C][/ROW]
[ROW][C]97[/C][C]117.6[/C][C]118.499768622576[/C][C]-0.899768622575522[/C][/ROW]
[ROW][C]98[/C][C]119.1[/C][C]117.600059480970[/C][C]1.49994051903045[/C][/ROW]
[ROW][C]99[/C][C]120.6[/C][C]119.09990084349[/C][C]1.50009915650992[/C][/ROW]
[ROW][C]100[/C][C]123.6[/C][C]120.599900833003[/C][C]3.00009916699696[/C][/ROW]
[ROW][C]101[/C][C]122.7[/C][C]123.599801672560[/C][C]-0.8998016725603[/C][/ROW]
[ROW][C]102[/C][C]123.8[/C][C]122.700059483154[/C][C]1.09994051684561[/C][/ROW]
[ROW][C]103[/C][C]123.1[/C][C]123.799927286275[/C][C]-0.699927286274772[/C][/ROW]
[ROW][C]104[/C][C]124.5[/C][C]123.100046270066[/C][C]1.39995372993394[/C][/ROW]
[ROW][C]105[/C][C]120.7[/C][C]124.499907453313[/C][C]-3.79990745331288[/C][/ROW]
[ROW][C]106[/C][C]118.7[/C][C]120.700251200335[/C][C]-2.00025120033516[/C][/ROW]
[ROW][C]107[/C][C]119[/C][C]118.700132230529[/C][C]0.299867769471206[/C][/ROW]
[ROW][C]108[/C][C]122.3[/C][C]118.999980176653[/C][C]3.30001982334704[/C][/ROW]
[ROW][C]109[/C][C]118.6[/C][C]122.299781845717[/C][C]-3.69978184571708[/C][/ROW]
[ROW][C]110[/C][C]118.1[/C][C]118.600244581335[/C][C]-0.50024458133548[/C][/ROW]
[ROW][C]111[/C][C]118.2[/C][C]118.100033069649[/C][C]0.0999669303508028[/C][/ROW]
[ROW][C]112[/C][C]120.8[/C][C]118.19999339149[/C][C]2.60000660851[/C][/ROW]
[ROW][C]113[/C][C]119.7[/C][C]120.799828121464[/C][C]-1.09982812146362[/C][/ROW]
[ROW][C]114[/C][C]119.7[/C][C]119.700072706295[/C][C]-7.27062951142443e-05[/C][/ROW]
[ROW][C]115[/C][C]117.1[/C][C]119.700000004806[/C][C]-2.60000000480640[/C][/ROW]
[ROW][C]116[/C][C]114.5[/C][C]117.100171878100[/C][C]-2.60017187809983[/C][/ROW]
[ROW][C]117[/C][C]116.5[/C][C]114.500171889462[/C][C]1.99982811053815[/C][/ROW]
[ROW][C]118[/C][C]116.4[/C][C]116.499867797440[/C][C]-0.0998677974403819[/C][/ROW]
[ROW][C]119[/C][C]114.9[/C][C]116.400006601957[/C][C]-1.50000660195663[/C][/ROW]
[ROW][C]120[/C][C]115.5[/C][C]114.900099160878[/C][C]0.599900839121531[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111118&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111118&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
2100.198.61.5
398.8100.099900839558-1.29990083955796
498.398.8000859324946-0.500085932494557
5102.898.30003305916144.49996694083859
6103.6102.7997025208590.800297479140639
7105.2103.5999470947651.60005290523453
8100.1105.199894225364-5.09989422536444
998.2100.100337138510-1.90033713851045
1098.498.20012562551380.199874374486228
1197.498.3999867869125-0.999986786912444
1298.497.40006610608790.999933893912129
13100.398.39993389740871.90006610259127
14101.1100.2998743924040.800125607596414
15104.1101.0999471061273.00005289387262
16107.3104.0998016756193.20019832438071
17110.1107.2997884446132.80021155538695
18112.6110.0998148865232.50018511347707
19114.3112.5998347203591.70016527964067
20115.3114.2998876072401.00011239276043
21109.9115.299933885609-5.39993388560869
22108.2109.900356973221-1.70035697322068
23103.2108.200112405433-5.00011240543272
24101.8103.200330542238-1.40033054223754
25105.6101.8000925715973.79990742840296
26108.2105.5997487996662.60025120033352
27109.8108.1998281052941.60017189470560
28114.6109.7998942174984.8001057825016
29117.2114.5996826795932.60031732040746
30116.5117.199828100923-0.699828100923398
31116.1116.500046263509-0.400046263509225
32112.1116.100026445843-4.00002644584288
33106.8112.100264429594-5.30026442959365
34106.9106.8003503843760.0996496156242017
35104.5106.899993412467-2.39999341246671
36103104.500158656272-1.50015865627176
37105.9103.0000991709302.89990082906969
38107.7105.8998082963681.80019170363202
39107.1107.699880994797-0.599880994796635
40112.5107.1000396563105.39996034369027
41114.5112.4996430250302.00035697496975
42114.6114.4998677624790.100132237521223
43113.1114.599993380562-1.49999338056205
44112.8113.100099160004-0.300099160004436
45111.9112.800019838644-0.900019838643559
46112111.9000594975770.0999405024233084
47112.4111.9999933932370.400006606762943
48110112.399973556779-2.39997355677872
49112.3110.0001586549592.29984134504083
50109.6112.299847964477-2.69984796447709
51111.9109.6001784787452.29982152125497
52110.8111.899847965788-1.09984796578759
53110.4110.800072707607-0.400072707606952
54110.8110.4000264475910.399973552408966
55114110.7999735589643.20002644103617
56108.4113.999788455976-5.59978845597573
57110.5108.4003701849992.09962981500095
58105.1110.499861199853-5.39986119985298
59102.3105.100356968416-2.80035696841564
60104.3102.3001851230901.99981487691012
61103.4104.299867798315-0.899867798315213
62102.4103.400059487526-1.00005948752576
63104.5102.4000661108942.09993388910610
64107.3104.4998611797522.80013882024845
65110.1107.2998148913312.80018510866877
66111.8110.0998148882711.70018511172876
67111.8111.7998876059290.000112394071479116
68105.7111.79999999257-6.09999999256996
69106105.7004032524640.299596747536242
70106.4105.9999801945690.400019805430617
71107.1106.3999735559060.700026444093808
72111.5107.0999537233794.4000462766211
73109.6111.499709126311-1.89970912631085
74109.9109.6001255839980.299874416002226
75109.3109.899980176214-0.599980176213577
76111.4109.3000396628662.09996033713369
77112.9111.3998611780031.50013882199684
78115.5112.8999008303812.60009916961913
79118.4115.4998281153452.90017188465532
80116.2118.399808278449-2.19980827844931
81113.3116.200145422641-2.90014542264085
82113.8113.3001917198010.499808280198636
83114.1113.7999669591930.300033040806653
84117.1114.0999801657273.00001983427263
85115.5117.099801677805-1.59980167780475
86115.2115.500105758028-0.300105758027684
87114.2115.200019839080-1.00001983907974
88115.3114.2000661082731.09993389172715
89118.8115.2999272867133.50007271328727
90118118.799768620828-0.799768620828416
91118.1118.0000528702730.0999471297266865
92111.8118.099993392799-6.29999339279895
93112111.8004164734200.199583526580270
94114.3111.9999868061402.30001319386048
95115114.2998479531170.700152046883318
96118.5114.9999537150763.50004628492431
97117.6118.499768622576-0.899768622575522
98119.1117.6000594809701.49994051903045
99120.6119.099900843491.50009915650992
100123.6120.5999008330033.00009916699696
101122.7123.599801672560-0.8998016725603
102123.8122.7000594831541.09994051684561
103123.1123.799927286275-0.699927286274772
104124.5123.1000462700661.39995372993394
105120.7124.499907453313-3.79990745331288
106118.7120.700251200335-2.00025120033516
107119118.7001322305290.299867769471206
108122.3118.9999801766533.30001982334704
109118.6122.299781845717-3.69978184571708
110118.1118.600244581335-0.50024458133548
111118.2118.1000330696490.0999669303508028
112120.8118.199993391492.60000660851
113119.7120.799828121464-1.09982812146362
114119.7119.700072706295-7.27062951142443e-05
115117.1119.700000004806-2.60000000480640
116114.5117.100171878100-2.60017187809983
117116.5114.5001718894621.99982811053815
118116.4116.499867797440-0.0998677974403819
119114.9116.400006601957-1.50000660195663
120115.5114.9000991608780.599900839121531







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121115.499960342378110.656048602652120.343872082105
122115.499960342378108.649861088484122.350059596272
123115.499960342378107.110428851637123.889491833120
124115.499960342378105.812617183386125.187303501371
125115.499960342378104.669217231861126.330703452896
126115.499960342378103.635501856128127.364418828629
127115.499960342378102.684900685166128.315019999591
128115.499960342378101.800101479461129.199819205295
129115.499960342378100.969079030160130.030841654597
130115.499960342378100.183077808529130.816842876227
131115.49996034237899.4354880696372131.564432615120
132115.49996034237898.7211746816814132.278746003075

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 115.499960342378 & 110.656048602652 & 120.343872082105 \tabularnewline
122 & 115.499960342378 & 108.649861088484 & 122.350059596272 \tabularnewline
123 & 115.499960342378 & 107.110428851637 & 123.889491833120 \tabularnewline
124 & 115.499960342378 & 105.812617183386 & 125.187303501371 \tabularnewline
125 & 115.499960342378 & 104.669217231861 & 126.330703452896 \tabularnewline
126 & 115.499960342378 & 103.635501856128 & 127.364418828629 \tabularnewline
127 & 115.499960342378 & 102.684900685166 & 128.315019999591 \tabularnewline
128 & 115.499960342378 & 101.800101479461 & 129.199819205295 \tabularnewline
129 & 115.499960342378 & 100.969079030160 & 130.030841654597 \tabularnewline
130 & 115.499960342378 & 100.183077808529 & 130.816842876227 \tabularnewline
131 & 115.499960342378 & 99.4354880696372 & 131.564432615120 \tabularnewline
132 & 115.499960342378 & 98.7211746816814 & 132.278746003075 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111118&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]121[/C][C]115.499960342378[/C][C]110.656048602652[/C][C]120.343872082105[/C][/ROW]
[ROW][C]122[/C][C]115.499960342378[/C][C]108.649861088484[/C][C]122.350059596272[/C][/ROW]
[ROW][C]123[/C][C]115.499960342378[/C][C]107.110428851637[/C][C]123.889491833120[/C][/ROW]
[ROW][C]124[/C][C]115.499960342378[/C][C]105.812617183386[/C][C]125.187303501371[/C][/ROW]
[ROW][C]125[/C][C]115.499960342378[/C][C]104.669217231861[/C][C]126.330703452896[/C][/ROW]
[ROW][C]126[/C][C]115.499960342378[/C][C]103.635501856128[/C][C]127.364418828629[/C][/ROW]
[ROW][C]127[/C][C]115.499960342378[/C][C]102.684900685166[/C][C]128.315019999591[/C][/ROW]
[ROW][C]128[/C][C]115.499960342378[/C][C]101.800101479461[/C][C]129.199819205295[/C][/ROW]
[ROW][C]129[/C][C]115.499960342378[/C][C]100.969079030160[/C][C]130.030841654597[/C][/ROW]
[ROW][C]130[/C][C]115.499960342378[/C][C]100.183077808529[/C][C]130.816842876227[/C][/ROW]
[ROW][C]131[/C][C]115.499960342378[/C][C]99.4354880696372[/C][C]131.564432615120[/C][/ROW]
[ROW][C]132[/C][C]115.499960342378[/C][C]98.7211746816814[/C][C]132.278746003075[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111118&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111118&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
121115.499960342378110.656048602652120.343872082105
122115.499960342378108.649861088484122.350059596272
123115.499960342378107.110428851637123.889491833120
124115.499960342378105.812617183386125.187303501371
125115.499960342378104.669217231861126.330703452896
126115.499960342378103.635501856128127.364418828629
127115.499960342378102.684900685166128.315019999591
128115.499960342378101.800101479461129.199819205295
129115.499960342378100.969079030160130.030841654597
130115.499960342378100.183077808529130.816842876227
131115.49996034237899.4354880696372131.564432615120
132115.49996034237898.7211746816814132.278746003075



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; 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')