Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 21 Dec 2011 10:58:54 -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/2011/Dec/21/t13244832081qsi89mwoopcn9i.htm/, Retrieved Tue, 07 May 2024 10:03:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=158849, Retrieved Tue, 07 May 2024 10:03:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opgave 10] [2011-12-21 15:58:54] [093288464fe3c33cfb191962bb8ff0bf] [Current]
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Dataseries X:
6.3
6.2
6.3
6.5
6.6
6.4
6.2
6.3
6.6
7.1
7.2
7.3
7.3
7.3
7.4
7.3
7.4
7.4
7.6
7.6
7.7
7.7
7.8
7.8
8
8.1
8.1
8.2
8.1
8.1
8.1
8.1
8.2
8.4
8.4
8.5
8.6
8.5
8.3
7.8
7.8
8
8.6
8.9
8.9
8.6
8.3
8.3
8.3
8.4
8.5
8.4
8.6
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.6
8.6
8.6
8.6
8.4
8.1
7.9
7.9
8
8
7.9
7.9
7.9
7.9
8
7.9
7.5
7.2
7
6.9
7.1
7.1
7.2
7.1
6.9
6.8
6.8
6.7
6.9
7.3
7.4
7.3
7.1
7
7.1
7.5
7.7
7.8
7.7
7.7
7.8
8
8.1
8.1
8
8.1
8.2
8.3
8.4
8.5
8.5
8.5
8.5
8.5
8.3
8.2
8.1
7.9
7.6




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158849&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158849&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158849&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.921358430818221
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.921358430818221 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158849&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.921358430818221[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158849&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158849&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
alpha1
beta0.921358430818221
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
36.36.10.199999999999999
46.56.384271686163640.115728313836357
56.66.69089894380115-0.0908989438011485
66.46.70714843557749-0.307148435577488
76.26.22415463494554-0.0241546349455435
86.36.001899558395130.298100441604869
96.66.376556913498410.223443086501589
107.16.882428085054690.217571914945305
117.27.58288980319882-0.382889803198816
127.37.33011105494726-0.0301110549472581
137.37.40236798061077-0.10236798061077
147.37.3080503786292-0.00805037862920077
157.47.300633094407910.0993669055920927
167.37.4921856306195-0.192185630619501
177.47.215113779566110.184886220433894
187.47.48546025750499-0.085460257504991
197.67.406720728752870.193279271247128
207.67.78480021481881-0.184800214818814
217.77.614532978878480.0854670211215192
227.77.79327873934571-0.0932787393457124
237.87.707335586433450.0926644135665544
247.87.89271272510982-0.0927127251098163
2587.807291074185750.192708925814245
268.18.18484506767863-0.0848450676786339
278.18.20667234925958-0.106672349259581
288.28.108388880934080.0916111190659201
298.18.29279555784216-0.192795557842157
308.18.015161745199980.0848382548000153
318.18.093328186515880.00667181348411638
328.18.099475318118320.000524681881678646
338.28.09995873819350.100041261806496
348.48.292132598188610.10786740181139
358.48.59151713825799-0.191517138257991
368.58.415061208277810.0849387917221875
378.68.593320280134560.0066797198654367
388.58.69947469634809-0.199474696348087
398.38.41568700313287-0.115687003132873
407.88.10909780746031-0.309097807460309
417.87.324307936609330.475692063390674
4287.762590829687640.237409170312361
438.68.181329770308490.418670229691507
448.99.16707511616736-0.267075116167362
458.99.22100320622481-0.321003206224809
468.68.9252441958499-0.325244195849901
478.38.3255777139289-0.0255777139289002
488.38.002011471559450.297988528440548
498.38.276565714525270.0234342854747336
508.48.298157091017610.101842908982386
518.58.491990913827590.00800908617241269
528.48.59937015289569-0.199370152895689
538.68.315678781671730.284321218328271
548.58.77764053323899-0.277640533238989
558.58.421834087202380.0781659127976191
568.58.493852909961070.00614709003893132
578.58.499516583193440.000483416806563497
588.58.499961983343763.80166562372608e-05
598.58.49999701031052.98968950218637e-06
608.58.499999764886132.35113873259252e-07
618.58.499999981510281.84897235300241e-08
628.68.499999998545940.100000001454061
638.68.69213584296747-0.0921358429674726
648.68.60724570726885-0.00724570726884721
658.68.60056981378945-0.000569813789454088
668.48.60004481105054-0.200044811050544
678.18.21573183784769-0.115731837847688
687.97.809101333332630.0908986666673677
697.97.692851586216750.207148413783252
7087.883709523686570.116290476313432
7188.09085473446181-0.0908547344618142
727.98.00714495888567-0.107144958885671
737.97.808426047696690.091573952303313
747.97.892798480694690.0072015193053101
757.97.899433661221340.000566338778662079
7687.899955462229760.100044537770242
777.98.09213234056168-0.192132340561681
787.57.81510958875234-0.315109588752339
797.27.124780712523710.0752192874762914
8076.894084637200130.105915362799871
816.96.791670649668960.10832935033104
827.16.791480809901530.308519190098474
837.17.27573756676796-0.175737566767964
847.27.113820278014820.0861797219851805
857.17.29322269143144-0.193222691431437
866.97.01519533565569-0.115195335655693
876.86.709059141958390.0909408580416136
886.86.692848268220870.107151731779131
896.76.79157341967234-0.0915734196723434
906.96.607201477418370.292798522581625
917.37.076973864730070.223026135269925
927.47.68246087475382-0.282460874753824
937.37.5222131664231-0.2222131664231
947.17.21747519210036-0.117475192100364
9576.90923843344670.0907615665532973
967.16.892862367984850.207137632015147
977.57.183710371581730.31628962841827
987.77.87512648730527-0.175126487305265
997.87.91377222176698-0.11377222176698
1007.77.90894722604905-0.208947226049052
1017.77.616431937732680.0835680622673225
1027.87.693428076449820.106571923550183
10387.891619016701290.108380983298708
1048.18.19147674940393-0.0914767494039257
1058.18.20719387511677-0.107193875116772
10688.10842989454586-0.108429894545859
1078.17.90852709705330.191472902946698
1088.28.184942270456480.0150577295435195
1098.38.298815836520380.00118416347961947
1108.48.39990687552589.31244742030657e-05
1118.58.499992676545227.32345478127172e-06
1128.58.59999942407202-0.0999994240720241
1138.58.5078641116263-0.00786411162629896
1148.58.50061844607851-0.000618446078512136
1158.58.50004863557007-4.86355700690666e-05
1168.38.50000382477755-0.200003824777548
1178.28.115728614622870.084271385377134
1188.18.093372766016820.00662723398318121
1197.97.99947882392023-0.0994788239202276
1207.67.70782317081345-0.107823170813446

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 6.3 & 6.1 & 0.199999999999999 \tabularnewline
4 & 6.5 & 6.38427168616364 & 0.115728313836357 \tabularnewline
5 & 6.6 & 6.69089894380115 & -0.0908989438011485 \tabularnewline
6 & 6.4 & 6.70714843557749 & -0.307148435577488 \tabularnewline
7 & 6.2 & 6.22415463494554 & -0.0241546349455435 \tabularnewline
8 & 6.3 & 6.00189955839513 & 0.298100441604869 \tabularnewline
9 & 6.6 & 6.37655691349841 & 0.223443086501589 \tabularnewline
10 & 7.1 & 6.88242808505469 & 0.217571914945305 \tabularnewline
11 & 7.2 & 7.58288980319882 & -0.382889803198816 \tabularnewline
12 & 7.3 & 7.33011105494726 & -0.0301110549472581 \tabularnewline
13 & 7.3 & 7.40236798061077 & -0.10236798061077 \tabularnewline
14 & 7.3 & 7.3080503786292 & -0.00805037862920077 \tabularnewline
15 & 7.4 & 7.30063309440791 & 0.0993669055920927 \tabularnewline
16 & 7.3 & 7.4921856306195 & -0.192185630619501 \tabularnewline
17 & 7.4 & 7.21511377956611 & 0.184886220433894 \tabularnewline
18 & 7.4 & 7.48546025750499 & -0.085460257504991 \tabularnewline
19 & 7.6 & 7.40672072875287 & 0.193279271247128 \tabularnewline
20 & 7.6 & 7.78480021481881 & -0.184800214818814 \tabularnewline
21 & 7.7 & 7.61453297887848 & 0.0854670211215192 \tabularnewline
22 & 7.7 & 7.79327873934571 & -0.0932787393457124 \tabularnewline
23 & 7.8 & 7.70733558643345 & 0.0926644135665544 \tabularnewline
24 & 7.8 & 7.89271272510982 & -0.0927127251098163 \tabularnewline
25 & 8 & 7.80729107418575 & 0.192708925814245 \tabularnewline
26 & 8.1 & 8.18484506767863 & -0.0848450676786339 \tabularnewline
27 & 8.1 & 8.20667234925958 & -0.106672349259581 \tabularnewline
28 & 8.2 & 8.10838888093408 & 0.0916111190659201 \tabularnewline
29 & 8.1 & 8.29279555784216 & -0.192795557842157 \tabularnewline
30 & 8.1 & 8.01516174519998 & 0.0848382548000153 \tabularnewline
31 & 8.1 & 8.09332818651588 & 0.00667181348411638 \tabularnewline
32 & 8.1 & 8.09947531811832 & 0.000524681881678646 \tabularnewline
33 & 8.2 & 8.0999587381935 & 0.100041261806496 \tabularnewline
34 & 8.4 & 8.29213259818861 & 0.10786740181139 \tabularnewline
35 & 8.4 & 8.59151713825799 & -0.191517138257991 \tabularnewline
36 & 8.5 & 8.41506120827781 & 0.0849387917221875 \tabularnewline
37 & 8.6 & 8.59332028013456 & 0.0066797198654367 \tabularnewline
38 & 8.5 & 8.69947469634809 & -0.199474696348087 \tabularnewline
39 & 8.3 & 8.41568700313287 & -0.115687003132873 \tabularnewline
40 & 7.8 & 8.10909780746031 & -0.309097807460309 \tabularnewline
41 & 7.8 & 7.32430793660933 & 0.475692063390674 \tabularnewline
42 & 8 & 7.76259082968764 & 0.237409170312361 \tabularnewline
43 & 8.6 & 8.18132977030849 & 0.418670229691507 \tabularnewline
44 & 8.9 & 9.16707511616736 & -0.267075116167362 \tabularnewline
45 & 8.9 & 9.22100320622481 & -0.321003206224809 \tabularnewline
46 & 8.6 & 8.9252441958499 & -0.325244195849901 \tabularnewline
47 & 8.3 & 8.3255777139289 & -0.0255777139289002 \tabularnewline
48 & 8.3 & 8.00201147155945 & 0.297988528440548 \tabularnewline
49 & 8.3 & 8.27656571452527 & 0.0234342854747336 \tabularnewline
50 & 8.4 & 8.29815709101761 & 0.101842908982386 \tabularnewline
51 & 8.5 & 8.49199091382759 & 0.00800908617241269 \tabularnewline
52 & 8.4 & 8.59937015289569 & -0.199370152895689 \tabularnewline
53 & 8.6 & 8.31567878167173 & 0.284321218328271 \tabularnewline
54 & 8.5 & 8.77764053323899 & -0.277640533238989 \tabularnewline
55 & 8.5 & 8.42183408720238 & 0.0781659127976191 \tabularnewline
56 & 8.5 & 8.49385290996107 & 0.00614709003893132 \tabularnewline
57 & 8.5 & 8.49951658319344 & 0.000483416806563497 \tabularnewline
58 & 8.5 & 8.49996198334376 & 3.80166562372608e-05 \tabularnewline
59 & 8.5 & 8.4999970103105 & 2.98968950218637e-06 \tabularnewline
60 & 8.5 & 8.49999976488613 & 2.35113873259252e-07 \tabularnewline
61 & 8.5 & 8.49999998151028 & 1.84897235300241e-08 \tabularnewline
62 & 8.6 & 8.49999999854594 & 0.100000001454061 \tabularnewline
63 & 8.6 & 8.69213584296747 & -0.0921358429674726 \tabularnewline
64 & 8.6 & 8.60724570726885 & -0.00724570726884721 \tabularnewline
65 & 8.6 & 8.60056981378945 & -0.000569813789454088 \tabularnewline
66 & 8.4 & 8.60004481105054 & -0.200044811050544 \tabularnewline
67 & 8.1 & 8.21573183784769 & -0.115731837847688 \tabularnewline
68 & 7.9 & 7.80910133333263 & 0.0908986666673677 \tabularnewline
69 & 7.9 & 7.69285158621675 & 0.207148413783252 \tabularnewline
70 & 8 & 7.88370952368657 & 0.116290476313432 \tabularnewline
71 & 8 & 8.09085473446181 & -0.0908547344618142 \tabularnewline
72 & 7.9 & 8.00714495888567 & -0.107144958885671 \tabularnewline
73 & 7.9 & 7.80842604769669 & 0.091573952303313 \tabularnewline
74 & 7.9 & 7.89279848069469 & 0.0072015193053101 \tabularnewline
75 & 7.9 & 7.89943366122134 & 0.000566338778662079 \tabularnewline
76 & 8 & 7.89995546222976 & 0.100044537770242 \tabularnewline
77 & 7.9 & 8.09213234056168 & -0.192132340561681 \tabularnewline
78 & 7.5 & 7.81510958875234 & -0.315109588752339 \tabularnewline
79 & 7.2 & 7.12478071252371 & 0.0752192874762914 \tabularnewline
80 & 7 & 6.89408463720013 & 0.105915362799871 \tabularnewline
81 & 6.9 & 6.79167064966896 & 0.10832935033104 \tabularnewline
82 & 7.1 & 6.79148080990153 & 0.308519190098474 \tabularnewline
83 & 7.1 & 7.27573756676796 & -0.175737566767964 \tabularnewline
84 & 7.2 & 7.11382027801482 & 0.0861797219851805 \tabularnewline
85 & 7.1 & 7.29322269143144 & -0.193222691431437 \tabularnewline
86 & 6.9 & 7.01519533565569 & -0.115195335655693 \tabularnewline
87 & 6.8 & 6.70905914195839 & 0.0909408580416136 \tabularnewline
88 & 6.8 & 6.69284826822087 & 0.107151731779131 \tabularnewline
89 & 6.7 & 6.79157341967234 & -0.0915734196723434 \tabularnewline
90 & 6.9 & 6.60720147741837 & 0.292798522581625 \tabularnewline
91 & 7.3 & 7.07697386473007 & 0.223026135269925 \tabularnewline
92 & 7.4 & 7.68246087475382 & -0.282460874753824 \tabularnewline
93 & 7.3 & 7.5222131664231 & -0.2222131664231 \tabularnewline
94 & 7.1 & 7.21747519210036 & -0.117475192100364 \tabularnewline
95 & 7 & 6.9092384334467 & 0.0907615665532973 \tabularnewline
96 & 7.1 & 6.89286236798485 & 0.207137632015147 \tabularnewline
97 & 7.5 & 7.18371037158173 & 0.31628962841827 \tabularnewline
98 & 7.7 & 7.87512648730527 & -0.175126487305265 \tabularnewline
99 & 7.8 & 7.91377222176698 & -0.11377222176698 \tabularnewline
100 & 7.7 & 7.90894722604905 & -0.208947226049052 \tabularnewline
101 & 7.7 & 7.61643193773268 & 0.0835680622673225 \tabularnewline
102 & 7.8 & 7.69342807644982 & 0.106571923550183 \tabularnewline
103 & 8 & 7.89161901670129 & 0.108380983298708 \tabularnewline
104 & 8.1 & 8.19147674940393 & -0.0914767494039257 \tabularnewline
105 & 8.1 & 8.20719387511677 & -0.107193875116772 \tabularnewline
106 & 8 & 8.10842989454586 & -0.108429894545859 \tabularnewline
107 & 8.1 & 7.9085270970533 & 0.191472902946698 \tabularnewline
108 & 8.2 & 8.18494227045648 & 0.0150577295435195 \tabularnewline
109 & 8.3 & 8.29881583652038 & 0.00118416347961947 \tabularnewline
110 & 8.4 & 8.3999068755258 & 9.31244742030657e-05 \tabularnewline
111 & 8.5 & 8.49999267654522 & 7.32345478127172e-06 \tabularnewline
112 & 8.5 & 8.59999942407202 & -0.0999994240720241 \tabularnewline
113 & 8.5 & 8.5078641116263 & -0.00786411162629896 \tabularnewline
114 & 8.5 & 8.50061844607851 & -0.000618446078512136 \tabularnewline
115 & 8.5 & 8.50004863557007 & -4.86355700690666e-05 \tabularnewline
116 & 8.3 & 8.50000382477755 & -0.200003824777548 \tabularnewline
117 & 8.2 & 8.11572861462287 & 0.084271385377134 \tabularnewline
118 & 8.1 & 8.09337276601682 & 0.00662723398318121 \tabularnewline
119 & 7.9 & 7.99947882392023 & -0.0994788239202276 \tabularnewline
120 & 7.6 & 7.70782317081345 & -0.107823170813446 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158849&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]6.3[/C][C]6.1[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]4[/C][C]6.5[/C][C]6.38427168616364[/C][C]0.115728313836357[/C][/ROW]
[ROW][C]5[/C][C]6.6[/C][C]6.69089894380115[/C][C]-0.0908989438011485[/C][/ROW]
[ROW][C]6[/C][C]6.4[/C][C]6.70714843557749[/C][C]-0.307148435577488[/C][/ROW]
[ROW][C]7[/C][C]6.2[/C][C]6.22415463494554[/C][C]-0.0241546349455435[/C][/ROW]
[ROW][C]8[/C][C]6.3[/C][C]6.00189955839513[/C][C]0.298100441604869[/C][/ROW]
[ROW][C]9[/C][C]6.6[/C][C]6.37655691349841[/C][C]0.223443086501589[/C][/ROW]
[ROW][C]10[/C][C]7.1[/C][C]6.88242808505469[/C][C]0.217571914945305[/C][/ROW]
[ROW][C]11[/C][C]7.2[/C][C]7.58288980319882[/C][C]-0.382889803198816[/C][/ROW]
[ROW][C]12[/C][C]7.3[/C][C]7.33011105494726[/C][C]-0.0301110549472581[/C][/ROW]
[ROW][C]13[/C][C]7.3[/C][C]7.40236798061077[/C][C]-0.10236798061077[/C][/ROW]
[ROW][C]14[/C][C]7.3[/C][C]7.3080503786292[/C][C]-0.00805037862920077[/C][/ROW]
[ROW][C]15[/C][C]7.4[/C][C]7.30063309440791[/C][C]0.0993669055920927[/C][/ROW]
[ROW][C]16[/C][C]7.3[/C][C]7.4921856306195[/C][C]-0.192185630619501[/C][/ROW]
[ROW][C]17[/C][C]7.4[/C][C]7.21511377956611[/C][C]0.184886220433894[/C][/ROW]
[ROW][C]18[/C][C]7.4[/C][C]7.48546025750499[/C][C]-0.085460257504991[/C][/ROW]
[ROW][C]19[/C][C]7.6[/C][C]7.40672072875287[/C][C]0.193279271247128[/C][/ROW]
[ROW][C]20[/C][C]7.6[/C][C]7.78480021481881[/C][C]-0.184800214818814[/C][/ROW]
[ROW][C]21[/C][C]7.7[/C][C]7.61453297887848[/C][C]0.0854670211215192[/C][/ROW]
[ROW][C]22[/C][C]7.7[/C][C]7.79327873934571[/C][C]-0.0932787393457124[/C][/ROW]
[ROW][C]23[/C][C]7.8[/C][C]7.70733558643345[/C][C]0.0926644135665544[/C][/ROW]
[ROW][C]24[/C][C]7.8[/C][C]7.89271272510982[/C][C]-0.0927127251098163[/C][/ROW]
[ROW][C]25[/C][C]8[/C][C]7.80729107418575[/C][C]0.192708925814245[/C][/ROW]
[ROW][C]26[/C][C]8.1[/C][C]8.18484506767863[/C][C]-0.0848450676786339[/C][/ROW]
[ROW][C]27[/C][C]8.1[/C][C]8.20667234925958[/C][C]-0.106672349259581[/C][/ROW]
[ROW][C]28[/C][C]8.2[/C][C]8.10838888093408[/C][C]0.0916111190659201[/C][/ROW]
[ROW][C]29[/C][C]8.1[/C][C]8.29279555784216[/C][C]-0.192795557842157[/C][/ROW]
[ROW][C]30[/C][C]8.1[/C][C]8.01516174519998[/C][C]0.0848382548000153[/C][/ROW]
[ROW][C]31[/C][C]8.1[/C][C]8.09332818651588[/C][C]0.00667181348411638[/C][/ROW]
[ROW][C]32[/C][C]8.1[/C][C]8.09947531811832[/C][C]0.000524681881678646[/C][/ROW]
[ROW][C]33[/C][C]8.2[/C][C]8.0999587381935[/C][C]0.100041261806496[/C][/ROW]
[ROW][C]34[/C][C]8.4[/C][C]8.29213259818861[/C][C]0.10786740181139[/C][/ROW]
[ROW][C]35[/C][C]8.4[/C][C]8.59151713825799[/C][C]-0.191517138257991[/C][/ROW]
[ROW][C]36[/C][C]8.5[/C][C]8.41506120827781[/C][C]0.0849387917221875[/C][/ROW]
[ROW][C]37[/C][C]8.6[/C][C]8.59332028013456[/C][C]0.0066797198654367[/C][/ROW]
[ROW][C]38[/C][C]8.5[/C][C]8.69947469634809[/C][C]-0.199474696348087[/C][/ROW]
[ROW][C]39[/C][C]8.3[/C][C]8.41568700313287[/C][C]-0.115687003132873[/C][/ROW]
[ROW][C]40[/C][C]7.8[/C][C]8.10909780746031[/C][C]-0.309097807460309[/C][/ROW]
[ROW][C]41[/C][C]7.8[/C][C]7.32430793660933[/C][C]0.475692063390674[/C][/ROW]
[ROW][C]42[/C][C]8[/C][C]7.76259082968764[/C][C]0.237409170312361[/C][/ROW]
[ROW][C]43[/C][C]8.6[/C][C]8.18132977030849[/C][C]0.418670229691507[/C][/ROW]
[ROW][C]44[/C][C]8.9[/C][C]9.16707511616736[/C][C]-0.267075116167362[/C][/ROW]
[ROW][C]45[/C][C]8.9[/C][C]9.22100320622481[/C][C]-0.321003206224809[/C][/ROW]
[ROW][C]46[/C][C]8.6[/C][C]8.9252441958499[/C][C]-0.325244195849901[/C][/ROW]
[ROW][C]47[/C][C]8.3[/C][C]8.3255777139289[/C][C]-0.0255777139289002[/C][/ROW]
[ROW][C]48[/C][C]8.3[/C][C]8.00201147155945[/C][C]0.297988528440548[/C][/ROW]
[ROW][C]49[/C][C]8.3[/C][C]8.27656571452527[/C][C]0.0234342854747336[/C][/ROW]
[ROW][C]50[/C][C]8.4[/C][C]8.29815709101761[/C][C]0.101842908982386[/C][/ROW]
[ROW][C]51[/C][C]8.5[/C][C]8.49199091382759[/C][C]0.00800908617241269[/C][/ROW]
[ROW][C]52[/C][C]8.4[/C][C]8.59937015289569[/C][C]-0.199370152895689[/C][/ROW]
[ROW][C]53[/C][C]8.6[/C][C]8.31567878167173[/C][C]0.284321218328271[/C][/ROW]
[ROW][C]54[/C][C]8.5[/C][C]8.77764053323899[/C][C]-0.277640533238989[/C][/ROW]
[ROW][C]55[/C][C]8.5[/C][C]8.42183408720238[/C][C]0.0781659127976191[/C][/ROW]
[ROW][C]56[/C][C]8.5[/C][C]8.49385290996107[/C][C]0.00614709003893132[/C][/ROW]
[ROW][C]57[/C][C]8.5[/C][C]8.49951658319344[/C][C]0.000483416806563497[/C][/ROW]
[ROW][C]58[/C][C]8.5[/C][C]8.49996198334376[/C][C]3.80166562372608e-05[/C][/ROW]
[ROW][C]59[/C][C]8.5[/C][C]8.4999970103105[/C][C]2.98968950218637e-06[/C][/ROW]
[ROW][C]60[/C][C]8.5[/C][C]8.49999976488613[/C][C]2.35113873259252e-07[/C][/ROW]
[ROW][C]61[/C][C]8.5[/C][C]8.49999998151028[/C][C]1.84897235300241e-08[/C][/ROW]
[ROW][C]62[/C][C]8.6[/C][C]8.49999999854594[/C][C]0.100000001454061[/C][/ROW]
[ROW][C]63[/C][C]8.6[/C][C]8.69213584296747[/C][C]-0.0921358429674726[/C][/ROW]
[ROW][C]64[/C][C]8.6[/C][C]8.60724570726885[/C][C]-0.00724570726884721[/C][/ROW]
[ROW][C]65[/C][C]8.6[/C][C]8.60056981378945[/C][C]-0.000569813789454088[/C][/ROW]
[ROW][C]66[/C][C]8.4[/C][C]8.60004481105054[/C][C]-0.200044811050544[/C][/ROW]
[ROW][C]67[/C][C]8.1[/C][C]8.21573183784769[/C][C]-0.115731837847688[/C][/ROW]
[ROW][C]68[/C][C]7.9[/C][C]7.80910133333263[/C][C]0.0908986666673677[/C][/ROW]
[ROW][C]69[/C][C]7.9[/C][C]7.69285158621675[/C][C]0.207148413783252[/C][/ROW]
[ROW][C]70[/C][C]8[/C][C]7.88370952368657[/C][C]0.116290476313432[/C][/ROW]
[ROW][C]71[/C][C]8[/C][C]8.09085473446181[/C][C]-0.0908547344618142[/C][/ROW]
[ROW][C]72[/C][C]7.9[/C][C]8.00714495888567[/C][C]-0.107144958885671[/C][/ROW]
[ROW][C]73[/C][C]7.9[/C][C]7.80842604769669[/C][C]0.091573952303313[/C][/ROW]
[ROW][C]74[/C][C]7.9[/C][C]7.89279848069469[/C][C]0.0072015193053101[/C][/ROW]
[ROW][C]75[/C][C]7.9[/C][C]7.89943366122134[/C][C]0.000566338778662079[/C][/ROW]
[ROW][C]76[/C][C]8[/C][C]7.89995546222976[/C][C]0.100044537770242[/C][/ROW]
[ROW][C]77[/C][C]7.9[/C][C]8.09213234056168[/C][C]-0.192132340561681[/C][/ROW]
[ROW][C]78[/C][C]7.5[/C][C]7.81510958875234[/C][C]-0.315109588752339[/C][/ROW]
[ROW][C]79[/C][C]7.2[/C][C]7.12478071252371[/C][C]0.0752192874762914[/C][/ROW]
[ROW][C]80[/C][C]7[/C][C]6.89408463720013[/C][C]0.105915362799871[/C][/ROW]
[ROW][C]81[/C][C]6.9[/C][C]6.79167064966896[/C][C]0.10832935033104[/C][/ROW]
[ROW][C]82[/C][C]7.1[/C][C]6.79148080990153[/C][C]0.308519190098474[/C][/ROW]
[ROW][C]83[/C][C]7.1[/C][C]7.27573756676796[/C][C]-0.175737566767964[/C][/ROW]
[ROW][C]84[/C][C]7.2[/C][C]7.11382027801482[/C][C]0.0861797219851805[/C][/ROW]
[ROW][C]85[/C][C]7.1[/C][C]7.29322269143144[/C][C]-0.193222691431437[/C][/ROW]
[ROW][C]86[/C][C]6.9[/C][C]7.01519533565569[/C][C]-0.115195335655693[/C][/ROW]
[ROW][C]87[/C][C]6.8[/C][C]6.70905914195839[/C][C]0.0909408580416136[/C][/ROW]
[ROW][C]88[/C][C]6.8[/C][C]6.69284826822087[/C][C]0.107151731779131[/C][/ROW]
[ROW][C]89[/C][C]6.7[/C][C]6.79157341967234[/C][C]-0.0915734196723434[/C][/ROW]
[ROW][C]90[/C][C]6.9[/C][C]6.60720147741837[/C][C]0.292798522581625[/C][/ROW]
[ROW][C]91[/C][C]7.3[/C][C]7.07697386473007[/C][C]0.223026135269925[/C][/ROW]
[ROW][C]92[/C][C]7.4[/C][C]7.68246087475382[/C][C]-0.282460874753824[/C][/ROW]
[ROW][C]93[/C][C]7.3[/C][C]7.5222131664231[/C][C]-0.2222131664231[/C][/ROW]
[ROW][C]94[/C][C]7.1[/C][C]7.21747519210036[/C][C]-0.117475192100364[/C][/ROW]
[ROW][C]95[/C][C]7[/C][C]6.9092384334467[/C][C]0.0907615665532973[/C][/ROW]
[ROW][C]96[/C][C]7.1[/C][C]6.89286236798485[/C][C]0.207137632015147[/C][/ROW]
[ROW][C]97[/C][C]7.5[/C][C]7.18371037158173[/C][C]0.31628962841827[/C][/ROW]
[ROW][C]98[/C][C]7.7[/C][C]7.87512648730527[/C][C]-0.175126487305265[/C][/ROW]
[ROW][C]99[/C][C]7.8[/C][C]7.91377222176698[/C][C]-0.11377222176698[/C][/ROW]
[ROW][C]100[/C][C]7.7[/C][C]7.90894722604905[/C][C]-0.208947226049052[/C][/ROW]
[ROW][C]101[/C][C]7.7[/C][C]7.61643193773268[/C][C]0.0835680622673225[/C][/ROW]
[ROW][C]102[/C][C]7.8[/C][C]7.69342807644982[/C][C]0.106571923550183[/C][/ROW]
[ROW][C]103[/C][C]8[/C][C]7.89161901670129[/C][C]0.108380983298708[/C][/ROW]
[ROW][C]104[/C][C]8.1[/C][C]8.19147674940393[/C][C]-0.0914767494039257[/C][/ROW]
[ROW][C]105[/C][C]8.1[/C][C]8.20719387511677[/C][C]-0.107193875116772[/C][/ROW]
[ROW][C]106[/C][C]8[/C][C]8.10842989454586[/C][C]-0.108429894545859[/C][/ROW]
[ROW][C]107[/C][C]8.1[/C][C]7.9085270970533[/C][C]0.191472902946698[/C][/ROW]
[ROW][C]108[/C][C]8.2[/C][C]8.18494227045648[/C][C]0.0150577295435195[/C][/ROW]
[ROW][C]109[/C][C]8.3[/C][C]8.29881583652038[/C][C]0.00118416347961947[/C][/ROW]
[ROW][C]110[/C][C]8.4[/C][C]8.3999068755258[/C][C]9.31244742030657e-05[/C][/ROW]
[ROW][C]111[/C][C]8.5[/C][C]8.49999267654522[/C][C]7.32345478127172e-06[/C][/ROW]
[ROW][C]112[/C][C]8.5[/C][C]8.59999942407202[/C][C]-0.0999994240720241[/C][/ROW]
[ROW][C]113[/C][C]8.5[/C][C]8.5078641116263[/C][C]-0.00786411162629896[/C][/ROW]
[ROW][C]114[/C][C]8.5[/C][C]8.50061844607851[/C][C]-0.000618446078512136[/C][/ROW]
[ROW][C]115[/C][C]8.5[/C][C]8.50004863557007[/C][C]-4.86355700690666e-05[/C][/ROW]
[ROW][C]116[/C][C]8.3[/C][C]8.50000382477755[/C][C]-0.200003824777548[/C][/ROW]
[ROW][C]117[/C][C]8.2[/C][C]8.11572861462287[/C][C]0.084271385377134[/C][/ROW]
[ROW][C]118[/C][C]8.1[/C][C]8.09337276601682[/C][C]0.00662723398318121[/C][/ROW]
[ROW][C]119[/C][C]7.9[/C][C]7.99947882392023[/C][C]-0.0994788239202276[/C][/ROW]
[ROW][C]120[/C][C]7.6[/C][C]7.70782317081345[/C][C]-0.107823170813446[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158849&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158849&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
36.36.10.199999999999999
46.56.384271686163640.115728313836357
56.66.69089894380115-0.0908989438011485
66.46.70714843557749-0.307148435577488
76.26.22415463494554-0.0241546349455435
86.36.001899558395130.298100441604869
96.66.376556913498410.223443086501589
107.16.882428085054690.217571914945305
117.27.58288980319882-0.382889803198816
127.37.33011105494726-0.0301110549472581
137.37.40236798061077-0.10236798061077
147.37.3080503786292-0.00805037862920077
157.47.300633094407910.0993669055920927
167.37.4921856306195-0.192185630619501
177.47.215113779566110.184886220433894
187.47.48546025750499-0.085460257504991
197.67.406720728752870.193279271247128
207.67.78480021481881-0.184800214818814
217.77.614532978878480.0854670211215192
227.77.79327873934571-0.0932787393457124
237.87.707335586433450.0926644135665544
247.87.89271272510982-0.0927127251098163
2587.807291074185750.192708925814245
268.18.18484506767863-0.0848450676786339
278.18.20667234925958-0.106672349259581
288.28.108388880934080.0916111190659201
298.18.29279555784216-0.192795557842157
308.18.015161745199980.0848382548000153
318.18.093328186515880.00667181348411638
328.18.099475318118320.000524681881678646
338.28.09995873819350.100041261806496
348.48.292132598188610.10786740181139
358.48.59151713825799-0.191517138257991
368.58.415061208277810.0849387917221875
378.68.593320280134560.0066797198654367
388.58.69947469634809-0.199474696348087
398.38.41568700313287-0.115687003132873
407.88.10909780746031-0.309097807460309
417.87.324307936609330.475692063390674
4287.762590829687640.237409170312361
438.68.181329770308490.418670229691507
448.99.16707511616736-0.267075116167362
458.99.22100320622481-0.321003206224809
468.68.9252441958499-0.325244195849901
478.38.3255777139289-0.0255777139289002
488.38.002011471559450.297988528440548
498.38.276565714525270.0234342854747336
508.48.298157091017610.101842908982386
518.58.491990913827590.00800908617241269
528.48.59937015289569-0.199370152895689
538.68.315678781671730.284321218328271
548.58.77764053323899-0.277640533238989
558.58.421834087202380.0781659127976191
568.58.493852909961070.00614709003893132
578.58.499516583193440.000483416806563497
588.58.499961983343763.80166562372608e-05
598.58.49999701031052.98968950218637e-06
608.58.499999764886132.35113873259252e-07
618.58.499999981510281.84897235300241e-08
628.68.499999998545940.100000001454061
638.68.69213584296747-0.0921358429674726
648.68.60724570726885-0.00724570726884721
658.68.60056981378945-0.000569813789454088
668.48.60004481105054-0.200044811050544
678.18.21573183784769-0.115731837847688
687.97.809101333332630.0908986666673677
697.97.692851586216750.207148413783252
7087.883709523686570.116290476313432
7188.09085473446181-0.0908547344618142
727.98.00714495888567-0.107144958885671
737.97.808426047696690.091573952303313
747.97.892798480694690.0072015193053101
757.97.899433661221340.000566338778662079
7687.899955462229760.100044537770242
777.98.09213234056168-0.192132340561681
787.57.81510958875234-0.315109588752339
797.27.124780712523710.0752192874762914
8076.894084637200130.105915362799871
816.96.791670649668960.10832935033104
827.16.791480809901530.308519190098474
837.17.27573756676796-0.175737566767964
847.27.113820278014820.0861797219851805
857.17.29322269143144-0.193222691431437
866.97.01519533565569-0.115195335655693
876.86.709059141958390.0909408580416136
886.86.692848268220870.107151731779131
896.76.79157341967234-0.0915734196723434
906.96.607201477418370.292798522581625
917.37.076973864730070.223026135269925
927.47.68246087475382-0.282460874753824
937.37.5222131664231-0.2222131664231
947.17.21747519210036-0.117475192100364
9576.90923843344670.0907615665532973
967.16.892862367984850.207137632015147
977.57.183710371581730.31628962841827
987.77.87512648730527-0.175126487305265
997.87.91377222176698-0.11377222176698
1007.77.90894722604905-0.208947226049052
1017.77.616431937732680.0835680622673225
1027.87.693428076449820.106571923550183
10387.891619016701290.108380983298708
1048.18.19147674940393-0.0914767494039257
1058.18.20719387511677-0.107193875116772
10688.10842989454586-0.108429894545859
1078.17.90852709705330.191472902946698
1088.28.184942270456480.0150577295435195
1098.38.298815836520380.00118416347961947
1108.48.39990687552589.31244742030657e-05
1118.58.499992676545227.32345478127172e-06
1128.58.59999942407202-0.0999994240720241
1138.58.5078641116263-0.00786411162629896
1148.58.50061844607851-0.000618446078512136
1158.58.50004863557007-4.86355700690666e-05
1168.38.50000382477755-0.200003824777548
1178.28.115728614622870.084271385377134
1188.18.093372766016820.00662723398318121
1197.97.99947882392023-0.0994788239202276
1207.67.70782317081345-0.107823170813446







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1217.308479383346926.979083703496287.63787506319756
1227.016958766693856.303482993106757.73043454028095
1236.725438150040775.548215714908087.90266058517346
1246.433917533387694.724200999642478.14363406713292
1256.142396916734623.839117572745438.4456762607238
1265.850876300081542.898595459978168.80315714018493
1275.559355683428471.906966868152899.21174449870404
1285.267835066775390.8676923874093779.6679777461414
1294.97631445012231-0.21638339842728210.1690122986719
1304.68479383346924-1.3428694173780910.7124570843166
1314.39327321681616-2.5097195922221811.2962660258545
1324.10175260016308-3.7151573698567811.918662570183

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 7.30847938334692 & 6.97908370349628 & 7.63787506319756 \tabularnewline
122 & 7.01695876669385 & 6.30348299310675 & 7.73043454028095 \tabularnewline
123 & 6.72543815004077 & 5.54821571490808 & 7.90266058517346 \tabularnewline
124 & 6.43391753338769 & 4.72420099964247 & 8.14363406713292 \tabularnewline
125 & 6.14239691673462 & 3.83911757274543 & 8.4456762607238 \tabularnewline
126 & 5.85087630008154 & 2.89859545997816 & 8.80315714018493 \tabularnewline
127 & 5.55935568342847 & 1.90696686815289 & 9.21174449870404 \tabularnewline
128 & 5.26783506677539 & 0.867692387409377 & 9.6679777461414 \tabularnewline
129 & 4.97631445012231 & -0.216383398427282 & 10.1690122986719 \tabularnewline
130 & 4.68479383346924 & -1.34286941737809 & 10.7124570843166 \tabularnewline
131 & 4.39327321681616 & -2.50971959222218 & 11.2962660258545 \tabularnewline
132 & 4.10175260016308 & -3.71515736985678 & 11.918662570183 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158849&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]7.30847938334692[/C][C]6.97908370349628[/C][C]7.63787506319756[/C][/ROW]
[ROW][C]122[/C][C]7.01695876669385[/C][C]6.30348299310675[/C][C]7.73043454028095[/C][/ROW]
[ROW][C]123[/C][C]6.72543815004077[/C][C]5.54821571490808[/C][C]7.90266058517346[/C][/ROW]
[ROW][C]124[/C][C]6.43391753338769[/C][C]4.72420099964247[/C][C]8.14363406713292[/C][/ROW]
[ROW][C]125[/C][C]6.14239691673462[/C][C]3.83911757274543[/C][C]8.4456762607238[/C][/ROW]
[ROW][C]126[/C][C]5.85087630008154[/C][C]2.89859545997816[/C][C]8.80315714018493[/C][/ROW]
[ROW][C]127[/C][C]5.55935568342847[/C][C]1.90696686815289[/C][C]9.21174449870404[/C][/ROW]
[ROW][C]128[/C][C]5.26783506677539[/C][C]0.867692387409377[/C][C]9.6679777461414[/C][/ROW]
[ROW][C]129[/C][C]4.97631445012231[/C][C]-0.216383398427282[/C][C]10.1690122986719[/C][/ROW]
[ROW][C]130[/C][C]4.68479383346924[/C][C]-1.34286941737809[/C][C]10.7124570843166[/C][/ROW]
[ROW][C]131[/C][C]4.39327321681616[/C][C]-2.50971959222218[/C][C]11.2962660258545[/C][/ROW]
[ROW][C]132[/C][C]4.10175260016308[/C][C]-3.71515736985678[/C][C]11.918662570183[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158849&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158849&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
1217.308479383346926.979083703496287.63787506319756
1227.016958766693856.303482993106757.73043454028095
1236.725438150040775.548215714908087.90266058517346
1246.433917533387694.724200999642478.14363406713292
1256.142396916734623.839117572745438.4456762607238
1265.850876300081542.898595459978168.80315714018493
1275.559355683428471.906966868152899.21174449870404
1285.267835066775390.8676923874093779.6679777461414
1294.97631445012231-0.21638339842728210.1690122986719
1304.68479383346924-1.3428694173780910.7124570843166
1314.39327321681616-2.5097195922221811.2962660258545
1324.10175260016308-3.7151573698567811.918662570183



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