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 computationFri, 11 Dec 2015 20:28:48 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/11/t1449865746gpqozjmvuapdynt.htm/, Retrieved Thu, 16 May 2024 14:20:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286028, Retrieved Thu, 16 May 2024 14:20:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact57
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [xxx] [2015-12-11 20:28:48] [42f75ab47e982481f307588c9de28675] [Current]
Feedback Forum

Post a new message
Dataseries X:
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1
8.3
8.1
7.9
7.9
8.3
8.6
8.7
8.5
8.3
8
8
8.8
8.7
8.5
8.1
7.8
7.7
7.5
7.2
6.9
6.6
6.5
6.6
7.7
8
7.7
7.3
7
7
7.3
7.3
7.1
7.1
7
7
7.5
7.8
7.9
8.1
8.3
8.4
8.6
8.5
8.4
8.3
8
8
8.7
8.7
8.6
8.5
8.5
8.6
8.8
8.7
8.6
8.4
8.1
8.1
8.7
8.7
8.6
8.6
8.5
8.6
8.8
8.8
8.7
8.5
8.3
8.3
8.9
9
8.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286028&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286028&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286028&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0249569549112722
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0249569549112722 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286028&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]0.0249569549112722[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286028&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286028&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
beta0.0249569549112722
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
38.58.30.199999999999999
48.78.404991390982260.295008609017744
58.78.612353907535950.0876460924640519
68.68.61454128711372-0.0145412871137225
78.58.51417838086687-0.0141783808668734
88.38.41382453165486-0.113824531654863
988.21098381795056-0.210983817950558
108.27.905718304318960.294281695681042
118.18.11306267932928-0.0130626793292805
128.18.012736674630240.0872633253697597
1388.0149145015069-0.014914501506901
147.97.91454228096527-0.0145422809652684
157.97.814179349914910.0858206500850889
1687.816321172009540.183678827990459
1787.920905236237850.0790947637621455
187.97.92287920069078-0.0228792006907836
1987.822308205510740.177691794489261
207.77.92674285161391-0.22674285161391
217.27.62108404048973-0.421084040489728
227.57.110575065077370.38942493492263
237.37.42029392561956-0.120293925619559
2477.21729175554177-0.217291755541772
2576.911868814996120.088131185003876
2676.914068301006540.0859316989934573
277.26.916212894543770.283787105456228
287.37.123295356539040.176704643460956
297.17.22770536635851-0.127705366358511
306.87.02451822928837-0.224518229288374
316.46.71891493796327-0.318914937963265
326.16.31095579223599-0.210955792235985
336.56.005690978040880.49430902195912
347.76.418027426014151.28197257398585
357.97.65002155774060.249978442259399
367.57.85626025845286-0.356260258452859
376.97.44736908724597-0.547369087245972
386.66.83370842161575-0.233708421615751
396.96.52787577107510.372124228924899
407.76.837162858677770.862837141322228
4187.658696646309520.341303353690478
4287.967214538718640.0327854612813585
437.77.96803276399759-0.268032763997586
447.37.66134348239175-0.361343482391755
457.47.252325449394220.147674550605779
468.17.356010956495230.743989043504767
478.38.074578657508460.22542134249154
488.18.28020448778906-0.180204487789062
497.98.0757071325125-0.1757071325125
507.97.87132201752880.0286779824712031
518.37.872037732644280.427962267355723
528.68.28271836765440.317281632345599
538.78.590636751047020.109363248952976
548.58.69336612472009-0.193366124720093
558.38.48854029506409-0.188540295064085
5688.28383490342121-0.283834903421214
5787.976751248534290.0232487514657143
588.87.977331466576360.822668533423642
598.78.79786276807194-0.0978627680719359
608.58.69542041138167-0.19542041138167
618.18.49054331298608-0.390543312986077
627.88.08079654113298-0.280796541132983
637.77.77378871451669-0.0737887145166871
647.57.67194717289553-0.171947172895534
657.27.46765589505446-0.267655895054459
666.97.16097601894985-0.260976018949848
676.66.85446285221199-0.254462852211994
686.56.54811223428274-0.0481122342827449
696.66.446911499421070.153088500578929
707.76.550732122227451.14926787777255
7187.6794143488340.320585651166004
727.77.98741519047535-0.287415190475347
737.37.68024218252584-0.380242182525839
7477.27075249552118-0.270752495521178
7576.963995337698340.036004662301659
767.36.9648939044320.335106095568
777.37.273257132149580.0267428678504178
787.17.27392455269672-0.173924552696723
797.17.069583925477110.0304160745228916
8077.07034301807755-0.0703430180775531
8176.968587470547070.0314125294529308
827.56.969371431628280.530628568371725
837.87.482614304883760.317385695116238
847.97.790535285366260.109464714633741
858.17.893267191313750.206732808686249
868.38.098426612698810.201573387301188
878.48.3034572706370.0965427293629979
888.68.405866683180730.194133316819274
898.58.61071165961536-0.110711659615358
908.48.50794863371819-0.107948633718186
918.38.40525456453375-0.105254564533748
9288.30262773111247-0.302627731112475
9387.99507506447220.00492493552780093
948.77.995197975866110.704802024133892
958.78.71278768820379-0.0127876882037903
968.68.71246854644587-0.112468546445868
978.58.60966167400328-0.109661674003283
988.58.50692485254969-0.00692485254968922
998.68.506752029316840.0932479706831604
1008.88.609079214716750.190920785283256
1018.78.81384401614669-0.113844016146686
1028.68.71100281616879-0.111002816168794
1038.48.60823252389065-0.208232523890645
1048.18.40303567418085-0.303035674180846
1058.18.095472826523810.00452717347619291
1068.78.095585810988130.604414189011871
1078.78.71067014865103-0.0106701486510303
1088.68.71040385423225-0.110403854232251
1098.68.60764851022014-0.0076485102201449
1108.58.60745762669544-0.107457626695442
1118.68.504775811551130.0952241884488672
1128.88.607152317328710.192847682671287
1138.88.81196520824988-0.0119652082498831
1148.78.81166659308709-0.111666593087088
1158.58.70887973495832-0.208879734958318
1168.38.50366673283108-0.203666732831083
1178.38.298583831362890.00141616863710681
1188.98.298619174619720.601380825380284
11998.913627808763240.0863721912367641
1208.89.01578339564552-0.215783395645518

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 8.5 & 8.3 & 0.199999999999999 \tabularnewline
4 & 8.7 & 8.40499139098226 & 0.295008609017744 \tabularnewline
5 & 8.7 & 8.61235390753595 & 0.0876460924640519 \tabularnewline
6 & 8.6 & 8.61454128711372 & -0.0145412871137225 \tabularnewline
7 & 8.5 & 8.51417838086687 & -0.0141783808668734 \tabularnewline
8 & 8.3 & 8.41382453165486 & -0.113824531654863 \tabularnewline
9 & 8 & 8.21098381795056 & -0.210983817950558 \tabularnewline
10 & 8.2 & 7.90571830431896 & 0.294281695681042 \tabularnewline
11 & 8.1 & 8.11306267932928 & -0.0130626793292805 \tabularnewline
12 & 8.1 & 8.01273667463024 & 0.0872633253697597 \tabularnewline
13 & 8 & 8.0149145015069 & -0.014914501506901 \tabularnewline
14 & 7.9 & 7.91454228096527 & -0.0145422809652684 \tabularnewline
15 & 7.9 & 7.81417934991491 & 0.0858206500850889 \tabularnewline
16 & 8 & 7.81632117200954 & 0.183678827990459 \tabularnewline
17 & 8 & 7.92090523623785 & 0.0790947637621455 \tabularnewline
18 & 7.9 & 7.92287920069078 & -0.0228792006907836 \tabularnewline
19 & 8 & 7.82230820551074 & 0.177691794489261 \tabularnewline
20 & 7.7 & 7.92674285161391 & -0.22674285161391 \tabularnewline
21 & 7.2 & 7.62108404048973 & -0.421084040489728 \tabularnewline
22 & 7.5 & 7.11057506507737 & 0.38942493492263 \tabularnewline
23 & 7.3 & 7.42029392561956 & -0.120293925619559 \tabularnewline
24 & 7 & 7.21729175554177 & -0.217291755541772 \tabularnewline
25 & 7 & 6.91186881499612 & 0.088131185003876 \tabularnewline
26 & 7 & 6.91406830100654 & 0.0859316989934573 \tabularnewline
27 & 7.2 & 6.91621289454377 & 0.283787105456228 \tabularnewline
28 & 7.3 & 7.12329535653904 & 0.176704643460956 \tabularnewline
29 & 7.1 & 7.22770536635851 & -0.127705366358511 \tabularnewline
30 & 6.8 & 7.02451822928837 & -0.224518229288374 \tabularnewline
31 & 6.4 & 6.71891493796327 & -0.318914937963265 \tabularnewline
32 & 6.1 & 6.31095579223599 & -0.210955792235985 \tabularnewline
33 & 6.5 & 6.00569097804088 & 0.49430902195912 \tabularnewline
34 & 7.7 & 6.41802742601415 & 1.28197257398585 \tabularnewline
35 & 7.9 & 7.6500215577406 & 0.249978442259399 \tabularnewline
36 & 7.5 & 7.85626025845286 & -0.356260258452859 \tabularnewline
37 & 6.9 & 7.44736908724597 & -0.547369087245972 \tabularnewline
38 & 6.6 & 6.83370842161575 & -0.233708421615751 \tabularnewline
39 & 6.9 & 6.5278757710751 & 0.372124228924899 \tabularnewline
40 & 7.7 & 6.83716285867777 & 0.862837141322228 \tabularnewline
41 & 8 & 7.65869664630952 & 0.341303353690478 \tabularnewline
42 & 8 & 7.96721453871864 & 0.0327854612813585 \tabularnewline
43 & 7.7 & 7.96803276399759 & -0.268032763997586 \tabularnewline
44 & 7.3 & 7.66134348239175 & -0.361343482391755 \tabularnewline
45 & 7.4 & 7.25232544939422 & 0.147674550605779 \tabularnewline
46 & 8.1 & 7.35601095649523 & 0.743989043504767 \tabularnewline
47 & 8.3 & 8.07457865750846 & 0.22542134249154 \tabularnewline
48 & 8.1 & 8.28020448778906 & -0.180204487789062 \tabularnewline
49 & 7.9 & 8.0757071325125 & -0.1757071325125 \tabularnewline
50 & 7.9 & 7.8713220175288 & 0.0286779824712031 \tabularnewline
51 & 8.3 & 7.87203773264428 & 0.427962267355723 \tabularnewline
52 & 8.6 & 8.2827183676544 & 0.317281632345599 \tabularnewline
53 & 8.7 & 8.59063675104702 & 0.109363248952976 \tabularnewline
54 & 8.5 & 8.69336612472009 & -0.193366124720093 \tabularnewline
55 & 8.3 & 8.48854029506409 & -0.188540295064085 \tabularnewline
56 & 8 & 8.28383490342121 & -0.283834903421214 \tabularnewline
57 & 8 & 7.97675124853429 & 0.0232487514657143 \tabularnewline
58 & 8.8 & 7.97733146657636 & 0.822668533423642 \tabularnewline
59 & 8.7 & 8.79786276807194 & -0.0978627680719359 \tabularnewline
60 & 8.5 & 8.69542041138167 & -0.19542041138167 \tabularnewline
61 & 8.1 & 8.49054331298608 & -0.390543312986077 \tabularnewline
62 & 7.8 & 8.08079654113298 & -0.280796541132983 \tabularnewline
63 & 7.7 & 7.77378871451669 & -0.0737887145166871 \tabularnewline
64 & 7.5 & 7.67194717289553 & -0.171947172895534 \tabularnewline
65 & 7.2 & 7.46765589505446 & -0.267655895054459 \tabularnewline
66 & 6.9 & 7.16097601894985 & -0.260976018949848 \tabularnewline
67 & 6.6 & 6.85446285221199 & -0.254462852211994 \tabularnewline
68 & 6.5 & 6.54811223428274 & -0.0481122342827449 \tabularnewline
69 & 6.6 & 6.44691149942107 & 0.153088500578929 \tabularnewline
70 & 7.7 & 6.55073212222745 & 1.14926787777255 \tabularnewline
71 & 8 & 7.679414348834 & 0.320585651166004 \tabularnewline
72 & 7.7 & 7.98741519047535 & -0.287415190475347 \tabularnewline
73 & 7.3 & 7.68024218252584 & -0.380242182525839 \tabularnewline
74 & 7 & 7.27075249552118 & -0.270752495521178 \tabularnewline
75 & 7 & 6.96399533769834 & 0.036004662301659 \tabularnewline
76 & 7.3 & 6.964893904432 & 0.335106095568 \tabularnewline
77 & 7.3 & 7.27325713214958 & 0.0267428678504178 \tabularnewline
78 & 7.1 & 7.27392455269672 & -0.173924552696723 \tabularnewline
79 & 7.1 & 7.06958392547711 & 0.0304160745228916 \tabularnewline
80 & 7 & 7.07034301807755 & -0.0703430180775531 \tabularnewline
81 & 7 & 6.96858747054707 & 0.0314125294529308 \tabularnewline
82 & 7.5 & 6.96937143162828 & 0.530628568371725 \tabularnewline
83 & 7.8 & 7.48261430488376 & 0.317385695116238 \tabularnewline
84 & 7.9 & 7.79053528536626 & 0.109464714633741 \tabularnewline
85 & 8.1 & 7.89326719131375 & 0.206732808686249 \tabularnewline
86 & 8.3 & 8.09842661269881 & 0.201573387301188 \tabularnewline
87 & 8.4 & 8.303457270637 & 0.0965427293629979 \tabularnewline
88 & 8.6 & 8.40586668318073 & 0.194133316819274 \tabularnewline
89 & 8.5 & 8.61071165961536 & -0.110711659615358 \tabularnewline
90 & 8.4 & 8.50794863371819 & -0.107948633718186 \tabularnewline
91 & 8.3 & 8.40525456453375 & -0.105254564533748 \tabularnewline
92 & 8 & 8.30262773111247 & -0.302627731112475 \tabularnewline
93 & 8 & 7.9950750644722 & 0.00492493552780093 \tabularnewline
94 & 8.7 & 7.99519797586611 & 0.704802024133892 \tabularnewline
95 & 8.7 & 8.71278768820379 & -0.0127876882037903 \tabularnewline
96 & 8.6 & 8.71246854644587 & -0.112468546445868 \tabularnewline
97 & 8.5 & 8.60966167400328 & -0.109661674003283 \tabularnewline
98 & 8.5 & 8.50692485254969 & -0.00692485254968922 \tabularnewline
99 & 8.6 & 8.50675202931684 & 0.0932479706831604 \tabularnewline
100 & 8.8 & 8.60907921471675 & 0.190920785283256 \tabularnewline
101 & 8.7 & 8.81384401614669 & -0.113844016146686 \tabularnewline
102 & 8.6 & 8.71100281616879 & -0.111002816168794 \tabularnewline
103 & 8.4 & 8.60823252389065 & -0.208232523890645 \tabularnewline
104 & 8.1 & 8.40303567418085 & -0.303035674180846 \tabularnewline
105 & 8.1 & 8.09547282652381 & 0.00452717347619291 \tabularnewline
106 & 8.7 & 8.09558581098813 & 0.604414189011871 \tabularnewline
107 & 8.7 & 8.71067014865103 & -0.0106701486510303 \tabularnewline
108 & 8.6 & 8.71040385423225 & -0.110403854232251 \tabularnewline
109 & 8.6 & 8.60764851022014 & -0.0076485102201449 \tabularnewline
110 & 8.5 & 8.60745762669544 & -0.107457626695442 \tabularnewline
111 & 8.6 & 8.50477581155113 & 0.0952241884488672 \tabularnewline
112 & 8.8 & 8.60715231732871 & 0.192847682671287 \tabularnewline
113 & 8.8 & 8.81196520824988 & -0.0119652082498831 \tabularnewline
114 & 8.7 & 8.81166659308709 & -0.111666593087088 \tabularnewline
115 & 8.5 & 8.70887973495832 & -0.208879734958318 \tabularnewline
116 & 8.3 & 8.50366673283108 & -0.203666732831083 \tabularnewline
117 & 8.3 & 8.29858383136289 & 0.00141616863710681 \tabularnewline
118 & 8.9 & 8.29861917461972 & 0.601380825380284 \tabularnewline
119 & 9 & 8.91362780876324 & 0.0863721912367641 \tabularnewline
120 & 8.8 & 9.01578339564552 & -0.215783395645518 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286028&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]8.5[/C][C]8.3[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]4[/C][C]8.7[/C][C]8.40499139098226[/C][C]0.295008609017744[/C][/ROW]
[ROW][C]5[/C][C]8.7[/C][C]8.61235390753595[/C][C]0.0876460924640519[/C][/ROW]
[ROW][C]6[/C][C]8.6[/C][C]8.61454128711372[/C][C]-0.0145412871137225[/C][/ROW]
[ROW][C]7[/C][C]8.5[/C][C]8.51417838086687[/C][C]-0.0141783808668734[/C][/ROW]
[ROW][C]8[/C][C]8.3[/C][C]8.41382453165486[/C][C]-0.113824531654863[/C][/ROW]
[ROW][C]9[/C][C]8[/C][C]8.21098381795056[/C][C]-0.210983817950558[/C][/ROW]
[ROW][C]10[/C][C]8.2[/C][C]7.90571830431896[/C][C]0.294281695681042[/C][/ROW]
[ROW][C]11[/C][C]8.1[/C][C]8.11306267932928[/C][C]-0.0130626793292805[/C][/ROW]
[ROW][C]12[/C][C]8.1[/C][C]8.01273667463024[/C][C]0.0872633253697597[/C][/ROW]
[ROW][C]13[/C][C]8[/C][C]8.0149145015069[/C][C]-0.014914501506901[/C][/ROW]
[ROW][C]14[/C][C]7.9[/C][C]7.91454228096527[/C][C]-0.0145422809652684[/C][/ROW]
[ROW][C]15[/C][C]7.9[/C][C]7.81417934991491[/C][C]0.0858206500850889[/C][/ROW]
[ROW][C]16[/C][C]8[/C][C]7.81632117200954[/C][C]0.183678827990459[/C][/ROW]
[ROW][C]17[/C][C]8[/C][C]7.92090523623785[/C][C]0.0790947637621455[/C][/ROW]
[ROW][C]18[/C][C]7.9[/C][C]7.92287920069078[/C][C]-0.0228792006907836[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]7.82230820551074[/C][C]0.177691794489261[/C][/ROW]
[ROW][C]20[/C][C]7.7[/C][C]7.92674285161391[/C][C]-0.22674285161391[/C][/ROW]
[ROW][C]21[/C][C]7.2[/C][C]7.62108404048973[/C][C]-0.421084040489728[/C][/ROW]
[ROW][C]22[/C][C]7.5[/C][C]7.11057506507737[/C][C]0.38942493492263[/C][/ROW]
[ROW][C]23[/C][C]7.3[/C][C]7.42029392561956[/C][C]-0.120293925619559[/C][/ROW]
[ROW][C]24[/C][C]7[/C][C]7.21729175554177[/C][C]-0.217291755541772[/C][/ROW]
[ROW][C]25[/C][C]7[/C][C]6.91186881499612[/C][C]0.088131185003876[/C][/ROW]
[ROW][C]26[/C][C]7[/C][C]6.91406830100654[/C][C]0.0859316989934573[/C][/ROW]
[ROW][C]27[/C][C]7.2[/C][C]6.91621289454377[/C][C]0.283787105456228[/C][/ROW]
[ROW][C]28[/C][C]7.3[/C][C]7.12329535653904[/C][C]0.176704643460956[/C][/ROW]
[ROW][C]29[/C][C]7.1[/C][C]7.22770536635851[/C][C]-0.127705366358511[/C][/ROW]
[ROW][C]30[/C][C]6.8[/C][C]7.02451822928837[/C][C]-0.224518229288374[/C][/ROW]
[ROW][C]31[/C][C]6.4[/C][C]6.71891493796327[/C][C]-0.318914937963265[/C][/ROW]
[ROW][C]32[/C][C]6.1[/C][C]6.31095579223599[/C][C]-0.210955792235985[/C][/ROW]
[ROW][C]33[/C][C]6.5[/C][C]6.00569097804088[/C][C]0.49430902195912[/C][/ROW]
[ROW][C]34[/C][C]7.7[/C][C]6.41802742601415[/C][C]1.28197257398585[/C][/ROW]
[ROW][C]35[/C][C]7.9[/C][C]7.6500215577406[/C][C]0.249978442259399[/C][/ROW]
[ROW][C]36[/C][C]7.5[/C][C]7.85626025845286[/C][C]-0.356260258452859[/C][/ROW]
[ROW][C]37[/C][C]6.9[/C][C]7.44736908724597[/C][C]-0.547369087245972[/C][/ROW]
[ROW][C]38[/C][C]6.6[/C][C]6.83370842161575[/C][C]-0.233708421615751[/C][/ROW]
[ROW][C]39[/C][C]6.9[/C][C]6.5278757710751[/C][C]0.372124228924899[/C][/ROW]
[ROW][C]40[/C][C]7.7[/C][C]6.83716285867777[/C][C]0.862837141322228[/C][/ROW]
[ROW][C]41[/C][C]8[/C][C]7.65869664630952[/C][C]0.341303353690478[/C][/ROW]
[ROW][C]42[/C][C]8[/C][C]7.96721453871864[/C][C]0.0327854612813585[/C][/ROW]
[ROW][C]43[/C][C]7.7[/C][C]7.96803276399759[/C][C]-0.268032763997586[/C][/ROW]
[ROW][C]44[/C][C]7.3[/C][C]7.66134348239175[/C][C]-0.361343482391755[/C][/ROW]
[ROW][C]45[/C][C]7.4[/C][C]7.25232544939422[/C][C]0.147674550605779[/C][/ROW]
[ROW][C]46[/C][C]8.1[/C][C]7.35601095649523[/C][C]0.743989043504767[/C][/ROW]
[ROW][C]47[/C][C]8.3[/C][C]8.07457865750846[/C][C]0.22542134249154[/C][/ROW]
[ROW][C]48[/C][C]8.1[/C][C]8.28020448778906[/C][C]-0.180204487789062[/C][/ROW]
[ROW][C]49[/C][C]7.9[/C][C]8.0757071325125[/C][C]-0.1757071325125[/C][/ROW]
[ROW][C]50[/C][C]7.9[/C][C]7.8713220175288[/C][C]0.0286779824712031[/C][/ROW]
[ROW][C]51[/C][C]8.3[/C][C]7.87203773264428[/C][C]0.427962267355723[/C][/ROW]
[ROW][C]52[/C][C]8.6[/C][C]8.2827183676544[/C][C]0.317281632345599[/C][/ROW]
[ROW][C]53[/C][C]8.7[/C][C]8.59063675104702[/C][C]0.109363248952976[/C][/ROW]
[ROW][C]54[/C][C]8.5[/C][C]8.69336612472009[/C][C]-0.193366124720093[/C][/ROW]
[ROW][C]55[/C][C]8.3[/C][C]8.48854029506409[/C][C]-0.188540295064085[/C][/ROW]
[ROW][C]56[/C][C]8[/C][C]8.28383490342121[/C][C]-0.283834903421214[/C][/ROW]
[ROW][C]57[/C][C]8[/C][C]7.97675124853429[/C][C]0.0232487514657143[/C][/ROW]
[ROW][C]58[/C][C]8.8[/C][C]7.97733146657636[/C][C]0.822668533423642[/C][/ROW]
[ROW][C]59[/C][C]8.7[/C][C]8.79786276807194[/C][C]-0.0978627680719359[/C][/ROW]
[ROW][C]60[/C][C]8.5[/C][C]8.69542041138167[/C][C]-0.19542041138167[/C][/ROW]
[ROW][C]61[/C][C]8.1[/C][C]8.49054331298608[/C][C]-0.390543312986077[/C][/ROW]
[ROW][C]62[/C][C]7.8[/C][C]8.08079654113298[/C][C]-0.280796541132983[/C][/ROW]
[ROW][C]63[/C][C]7.7[/C][C]7.77378871451669[/C][C]-0.0737887145166871[/C][/ROW]
[ROW][C]64[/C][C]7.5[/C][C]7.67194717289553[/C][C]-0.171947172895534[/C][/ROW]
[ROW][C]65[/C][C]7.2[/C][C]7.46765589505446[/C][C]-0.267655895054459[/C][/ROW]
[ROW][C]66[/C][C]6.9[/C][C]7.16097601894985[/C][C]-0.260976018949848[/C][/ROW]
[ROW][C]67[/C][C]6.6[/C][C]6.85446285221199[/C][C]-0.254462852211994[/C][/ROW]
[ROW][C]68[/C][C]6.5[/C][C]6.54811223428274[/C][C]-0.0481122342827449[/C][/ROW]
[ROW][C]69[/C][C]6.6[/C][C]6.44691149942107[/C][C]0.153088500578929[/C][/ROW]
[ROW][C]70[/C][C]7.7[/C][C]6.55073212222745[/C][C]1.14926787777255[/C][/ROW]
[ROW][C]71[/C][C]8[/C][C]7.679414348834[/C][C]0.320585651166004[/C][/ROW]
[ROW][C]72[/C][C]7.7[/C][C]7.98741519047535[/C][C]-0.287415190475347[/C][/ROW]
[ROW][C]73[/C][C]7.3[/C][C]7.68024218252584[/C][C]-0.380242182525839[/C][/ROW]
[ROW][C]74[/C][C]7[/C][C]7.27075249552118[/C][C]-0.270752495521178[/C][/ROW]
[ROW][C]75[/C][C]7[/C][C]6.96399533769834[/C][C]0.036004662301659[/C][/ROW]
[ROW][C]76[/C][C]7.3[/C][C]6.964893904432[/C][C]0.335106095568[/C][/ROW]
[ROW][C]77[/C][C]7.3[/C][C]7.27325713214958[/C][C]0.0267428678504178[/C][/ROW]
[ROW][C]78[/C][C]7.1[/C][C]7.27392455269672[/C][C]-0.173924552696723[/C][/ROW]
[ROW][C]79[/C][C]7.1[/C][C]7.06958392547711[/C][C]0.0304160745228916[/C][/ROW]
[ROW][C]80[/C][C]7[/C][C]7.07034301807755[/C][C]-0.0703430180775531[/C][/ROW]
[ROW][C]81[/C][C]7[/C][C]6.96858747054707[/C][C]0.0314125294529308[/C][/ROW]
[ROW][C]82[/C][C]7.5[/C][C]6.96937143162828[/C][C]0.530628568371725[/C][/ROW]
[ROW][C]83[/C][C]7.8[/C][C]7.48261430488376[/C][C]0.317385695116238[/C][/ROW]
[ROW][C]84[/C][C]7.9[/C][C]7.79053528536626[/C][C]0.109464714633741[/C][/ROW]
[ROW][C]85[/C][C]8.1[/C][C]7.89326719131375[/C][C]0.206732808686249[/C][/ROW]
[ROW][C]86[/C][C]8.3[/C][C]8.09842661269881[/C][C]0.201573387301188[/C][/ROW]
[ROW][C]87[/C][C]8.4[/C][C]8.303457270637[/C][C]0.0965427293629979[/C][/ROW]
[ROW][C]88[/C][C]8.6[/C][C]8.40586668318073[/C][C]0.194133316819274[/C][/ROW]
[ROW][C]89[/C][C]8.5[/C][C]8.61071165961536[/C][C]-0.110711659615358[/C][/ROW]
[ROW][C]90[/C][C]8.4[/C][C]8.50794863371819[/C][C]-0.107948633718186[/C][/ROW]
[ROW][C]91[/C][C]8.3[/C][C]8.40525456453375[/C][C]-0.105254564533748[/C][/ROW]
[ROW][C]92[/C][C]8[/C][C]8.30262773111247[/C][C]-0.302627731112475[/C][/ROW]
[ROW][C]93[/C][C]8[/C][C]7.9950750644722[/C][C]0.00492493552780093[/C][/ROW]
[ROW][C]94[/C][C]8.7[/C][C]7.99519797586611[/C][C]0.704802024133892[/C][/ROW]
[ROW][C]95[/C][C]8.7[/C][C]8.71278768820379[/C][C]-0.0127876882037903[/C][/ROW]
[ROW][C]96[/C][C]8.6[/C][C]8.71246854644587[/C][C]-0.112468546445868[/C][/ROW]
[ROW][C]97[/C][C]8.5[/C][C]8.60966167400328[/C][C]-0.109661674003283[/C][/ROW]
[ROW][C]98[/C][C]8.5[/C][C]8.50692485254969[/C][C]-0.00692485254968922[/C][/ROW]
[ROW][C]99[/C][C]8.6[/C][C]8.50675202931684[/C][C]0.0932479706831604[/C][/ROW]
[ROW][C]100[/C][C]8.8[/C][C]8.60907921471675[/C][C]0.190920785283256[/C][/ROW]
[ROW][C]101[/C][C]8.7[/C][C]8.81384401614669[/C][C]-0.113844016146686[/C][/ROW]
[ROW][C]102[/C][C]8.6[/C][C]8.71100281616879[/C][C]-0.111002816168794[/C][/ROW]
[ROW][C]103[/C][C]8.4[/C][C]8.60823252389065[/C][C]-0.208232523890645[/C][/ROW]
[ROW][C]104[/C][C]8.1[/C][C]8.40303567418085[/C][C]-0.303035674180846[/C][/ROW]
[ROW][C]105[/C][C]8.1[/C][C]8.09547282652381[/C][C]0.00452717347619291[/C][/ROW]
[ROW][C]106[/C][C]8.7[/C][C]8.09558581098813[/C][C]0.604414189011871[/C][/ROW]
[ROW][C]107[/C][C]8.7[/C][C]8.71067014865103[/C][C]-0.0106701486510303[/C][/ROW]
[ROW][C]108[/C][C]8.6[/C][C]8.71040385423225[/C][C]-0.110403854232251[/C][/ROW]
[ROW][C]109[/C][C]8.6[/C][C]8.60764851022014[/C][C]-0.0076485102201449[/C][/ROW]
[ROW][C]110[/C][C]8.5[/C][C]8.60745762669544[/C][C]-0.107457626695442[/C][/ROW]
[ROW][C]111[/C][C]8.6[/C][C]8.50477581155113[/C][C]0.0952241884488672[/C][/ROW]
[ROW][C]112[/C][C]8.8[/C][C]8.60715231732871[/C][C]0.192847682671287[/C][/ROW]
[ROW][C]113[/C][C]8.8[/C][C]8.81196520824988[/C][C]-0.0119652082498831[/C][/ROW]
[ROW][C]114[/C][C]8.7[/C][C]8.81166659308709[/C][C]-0.111666593087088[/C][/ROW]
[ROW][C]115[/C][C]8.5[/C][C]8.70887973495832[/C][C]-0.208879734958318[/C][/ROW]
[ROW][C]116[/C][C]8.3[/C][C]8.50366673283108[/C][C]-0.203666732831083[/C][/ROW]
[ROW][C]117[/C][C]8.3[/C][C]8.29858383136289[/C][C]0.00141616863710681[/C][/ROW]
[ROW][C]118[/C][C]8.9[/C][C]8.29861917461972[/C][C]0.601380825380284[/C][/ROW]
[ROW][C]119[/C][C]9[/C][C]8.91362780876324[/C][C]0.0863721912367641[/C][/ROW]
[ROW][C]120[/C][C]8.8[/C][C]9.01578339564552[/C][C]-0.215783395645518[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286028&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286028&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
38.58.30.199999999999999
48.78.404991390982260.295008609017744
58.78.612353907535950.0876460924640519
68.68.61454128711372-0.0145412871137225
78.58.51417838086687-0.0141783808668734
88.38.41382453165486-0.113824531654863
988.21098381795056-0.210983817950558
108.27.905718304318960.294281695681042
118.18.11306267932928-0.0130626793292805
128.18.012736674630240.0872633253697597
1388.0149145015069-0.014914501506901
147.97.91454228096527-0.0145422809652684
157.97.814179349914910.0858206500850889
1687.816321172009540.183678827990459
1787.920905236237850.0790947637621455
187.97.92287920069078-0.0228792006907836
1987.822308205510740.177691794489261
207.77.92674285161391-0.22674285161391
217.27.62108404048973-0.421084040489728
227.57.110575065077370.38942493492263
237.37.42029392561956-0.120293925619559
2477.21729175554177-0.217291755541772
2576.911868814996120.088131185003876
2676.914068301006540.0859316989934573
277.26.916212894543770.283787105456228
287.37.123295356539040.176704643460956
297.17.22770536635851-0.127705366358511
306.87.02451822928837-0.224518229288374
316.46.71891493796327-0.318914937963265
326.16.31095579223599-0.210955792235985
336.56.005690978040880.49430902195912
347.76.418027426014151.28197257398585
357.97.65002155774060.249978442259399
367.57.85626025845286-0.356260258452859
376.97.44736908724597-0.547369087245972
386.66.83370842161575-0.233708421615751
396.96.52787577107510.372124228924899
407.76.837162858677770.862837141322228
4187.658696646309520.341303353690478
4287.967214538718640.0327854612813585
437.77.96803276399759-0.268032763997586
447.37.66134348239175-0.361343482391755
457.47.252325449394220.147674550605779
468.17.356010956495230.743989043504767
478.38.074578657508460.22542134249154
488.18.28020448778906-0.180204487789062
497.98.0757071325125-0.1757071325125
507.97.87132201752880.0286779824712031
518.37.872037732644280.427962267355723
528.68.28271836765440.317281632345599
538.78.590636751047020.109363248952976
548.58.69336612472009-0.193366124720093
558.38.48854029506409-0.188540295064085
5688.28383490342121-0.283834903421214
5787.976751248534290.0232487514657143
588.87.977331466576360.822668533423642
598.78.79786276807194-0.0978627680719359
608.58.69542041138167-0.19542041138167
618.18.49054331298608-0.390543312986077
627.88.08079654113298-0.280796541132983
637.77.77378871451669-0.0737887145166871
647.57.67194717289553-0.171947172895534
657.27.46765589505446-0.267655895054459
666.97.16097601894985-0.260976018949848
676.66.85446285221199-0.254462852211994
686.56.54811223428274-0.0481122342827449
696.66.446911499421070.153088500578929
707.76.550732122227451.14926787777255
7187.6794143488340.320585651166004
727.77.98741519047535-0.287415190475347
737.37.68024218252584-0.380242182525839
7477.27075249552118-0.270752495521178
7576.963995337698340.036004662301659
767.36.9648939044320.335106095568
777.37.273257132149580.0267428678504178
787.17.27392455269672-0.173924552696723
797.17.069583925477110.0304160745228916
8077.07034301807755-0.0703430180775531
8176.968587470547070.0314125294529308
827.56.969371431628280.530628568371725
837.87.482614304883760.317385695116238
847.97.790535285366260.109464714633741
858.17.893267191313750.206732808686249
868.38.098426612698810.201573387301188
878.48.3034572706370.0965427293629979
888.68.405866683180730.194133316819274
898.58.61071165961536-0.110711659615358
908.48.50794863371819-0.107948633718186
918.38.40525456453375-0.105254564533748
9288.30262773111247-0.302627731112475
9387.99507506447220.00492493552780093
948.77.995197975866110.704802024133892
958.78.71278768820379-0.0127876882037903
968.68.71246854644587-0.112468546445868
978.58.60966167400328-0.109661674003283
988.58.50692485254969-0.00692485254968922
998.68.506752029316840.0932479706831604
1008.88.609079214716750.190920785283256
1018.78.81384401614669-0.113844016146686
1028.68.71100281616879-0.111002816168794
1038.48.60823252389065-0.208232523890645
1048.18.40303567418085-0.303035674180846
1058.18.095472826523810.00452717347619291
1068.78.095585810988130.604414189011871
1078.78.71067014865103-0.0106701486510303
1088.68.71040385423225-0.110403854232251
1098.68.60764851022014-0.0076485102201449
1108.58.60745762669544-0.107457626695442
1118.68.504775811551130.0952241884488672
1128.88.607152317328710.192847682671287
1138.88.81196520824988-0.0119652082498831
1148.78.81166659308709-0.111666593087088
1158.58.70887973495832-0.208879734958318
1168.38.50366673283108-0.203666732831083
1178.38.298583831362890.00141616863710681
1188.98.298619174619720.601380825380284
11998.913627808763240.0863721912367641
1208.89.01578339564552-0.215783395645518







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1218.810398099169798.204490533912329.41630566442727
1228.820796198339597.953155021695729.68843737498346
1238.831194297509387.755327657372579.90706093764618
1248.841592396679177.5839578108259410.0992269825324
1258.851990495848967.4287105831202810.2752704085777
1268.862388595018767.2843552529338710.4404219371036
1278.872786694188557.1478250616174910.5977483267596
1288.883184793358347.0171480168309110.7492215698858
1298.893582892528146.89097249424610.8961932908103
1308.903980991697936.7683275957202811.0396343876756
1318.914379090867726.6484903824960311.1802677992394
1328.924777190037526.5309070251625911.3186473549124

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 8.81039809916979 & 8.20449053391232 & 9.41630566442727 \tabularnewline
122 & 8.82079619833959 & 7.95315502169572 & 9.68843737498346 \tabularnewline
123 & 8.83119429750938 & 7.75532765737257 & 9.90706093764618 \tabularnewline
124 & 8.84159239667917 & 7.58395781082594 & 10.0992269825324 \tabularnewline
125 & 8.85199049584896 & 7.42871058312028 & 10.2752704085777 \tabularnewline
126 & 8.86238859501876 & 7.28435525293387 & 10.4404219371036 \tabularnewline
127 & 8.87278669418855 & 7.14782506161749 & 10.5977483267596 \tabularnewline
128 & 8.88318479335834 & 7.01714801683091 & 10.7492215698858 \tabularnewline
129 & 8.89358289252814 & 6.890972494246 & 10.8961932908103 \tabularnewline
130 & 8.90398099169793 & 6.76832759572028 & 11.0396343876756 \tabularnewline
131 & 8.91437909086772 & 6.64849038249603 & 11.1802677992394 \tabularnewline
132 & 8.92477719003752 & 6.53090702516259 & 11.3186473549124 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286028&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]8.81039809916979[/C][C]8.20449053391232[/C][C]9.41630566442727[/C][/ROW]
[ROW][C]122[/C][C]8.82079619833959[/C][C]7.95315502169572[/C][C]9.68843737498346[/C][/ROW]
[ROW][C]123[/C][C]8.83119429750938[/C][C]7.75532765737257[/C][C]9.90706093764618[/C][/ROW]
[ROW][C]124[/C][C]8.84159239667917[/C][C]7.58395781082594[/C][C]10.0992269825324[/C][/ROW]
[ROW][C]125[/C][C]8.85199049584896[/C][C]7.42871058312028[/C][C]10.2752704085777[/C][/ROW]
[ROW][C]126[/C][C]8.86238859501876[/C][C]7.28435525293387[/C][C]10.4404219371036[/C][/ROW]
[ROW][C]127[/C][C]8.87278669418855[/C][C]7.14782506161749[/C][C]10.5977483267596[/C][/ROW]
[ROW][C]128[/C][C]8.88318479335834[/C][C]7.01714801683091[/C][C]10.7492215698858[/C][/ROW]
[ROW][C]129[/C][C]8.89358289252814[/C][C]6.890972494246[/C][C]10.8961932908103[/C][/ROW]
[ROW][C]130[/C][C]8.90398099169793[/C][C]6.76832759572028[/C][C]11.0396343876756[/C][/ROW]
[ROW][C]131[/C][C]8.91437909086772[/C][C]6.64849038249603[/C][C]11.1802677992394[/C][/ROW]
[ROW][C]132[/C][C]8.92477719003752[/C][C]6.53090702516259[/C][C]11.3186473549124[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286028&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286028&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
1218.810398099169798.204490533912329.41630566442727
1228.820796198339597.953155021695729.68843737498346
1238.831194297509387.755327657372579.90706093764618
1248.841592396679177.5839578108259410.0992269825324
1258.851990495848967.4287105831202810.2752704085777
1268.862388595018767.2843552529338710.4404219371036
1278.872786694188557.1478250616174910.5977483267596
1288.883184793358347.0171480168309110.7492215698858
1298.893582892528146.89097249424610.8961932908103
1308.903980991697936.7683275957202811.0396343876756
1318.914379090867726.6484903824960311.1802677992394
1328.924777190037526.5309070251625911.3186473549124



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')