Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 18 Aug 2009 11:57:23 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Aug/18/t12506182876a6s2sc989p87fe.htm/, Retrieved Sun, 19 May 2024 14:42:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42859, Retrieved Sun, 19 May 2024 14:42:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact147
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [GuyVanHasseltOpga...] [2009-08-18 17:57:23] [6998899cd6ebdd3d2c6ef8366ab46470] [Current]
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Dataseries X:
0.8800
1.0300
0.6900
0.7100
1.1100
1.0500
1.0300
0.6500
0.5900
0.7700
0.9000
1.2600
0.9600
0.8300
0.8700
0.7900
1.1200
0.8800
0.6400
0.6400
0.5800
0.5000
0.9900
1.0700
0.8900
0.8900
0.8300
0.8600
0.9000
1.1200
0.8800
0.8800
0.8900
0.8200
0.8800
0.8100
0.8800
0.7600
1.1300
0.8500
1.4500
1.5500
0.7100
0.8100
0.8300
0.7300
0.9000
0.9400
1.7800
0.8800
1.0400
0.8300
1.4100
0.9600
1.3000
0.8300
1.4000
0.9100
0.8700
0.9700
1.1900
1.2300
1.3300
1.1700
1.0900
0.6300
0.8900
0.6300
1.5100
0.9700
0.8400
0.9200
0.9500
0.7300
1.0200
0.7900
1.2700
0.9500
0.7500
0.5200
0.9500
0.8200
0.7600
1.2400
0.9400
1.0400
1.8100
0.9500
1.3900
0.8600
1.1500
1.5100
0.6000
0.7200
1.1000
1.6200
1.8400
1.7300
1.3600
1.0700
1.0000
1.4900
0.9000
1.4300
1.5400
0.8100
1.6100
1.3000
1.4000
1.0300
0.7900
1.1100
1.1500
1.0300
1.5900
1.1100
1.3300
0.9300
1.0700
1.1400
1.1200
0.8600
0.8200
1.0200
1.0700
1.3100
0.9800
0.8900
0.8000
0.8000
0.7800
0.9700




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42859&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42859&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42859&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.123215267387331
beta0
gamma0.172216746810459

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.123215267387331 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.172216746810459 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42859&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]0.123215267387331[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.172216746810459[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42859&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42859&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
alpha0.123215267387331
beta0
gamma0.172216746810459







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.960.984482323232324-0.0244823232323237
140.830.868132393895657-0.0381323938956566
150.870.904267234119018-0.0342672341190178
160.790.831711654371085-0.0417116543710853
171.121.16407214172458-0.0440721417245842
180.880.922808447664324-0.0428084476643238
190.641.00545046000559-0.365450460005594
200.640.5854213838591820.0545786161408183
210.580.5329796359739360.0470203640260635
220.50.707939929366724-0.207939929366724
230.990.80856855536930.181431444630699
241.071.19759034599861-0.127590345998609
250.890.901505843022384-0.0115058430223839
260.890.7846936942493340.105306305750666
270.830.839085999789387-0.00908599978938707
280.860.768509047331240.0914909526687607
290.91.11692570298516-0.216925702985162
301.120.854554625185420.26544537481458
310.880.926460234134148-0.046460234134148
320.880.6091587603812520.270841239618748
330.890.5822225959710430.307777404028957
340.820.7508138947026280.0691861052973722
350.880.944382594095245-0.0643825940952453
360.811.25645497447559-0.446454974475589
370.880.938609894397542-0.0586098943975419
380.760.833632093038398-0.0736320930383976
391.130.8487035593299380.281296440670062
400.850.8290929764465260.0209070235534741
411.451.122242620236010.327757379763993
421.550.9998214066527440.550178593347256
430.711.05971367956122-0.349713679561217
440.810.7529583266147250.0570416733852755
450.830.7052560420295330.124743957970467
460.730.8152682520169-0.0852682520169006
470.90.969637341661197-0.069637341661197
480.941.22337046822984-0.283370468229835
491.780.9841833382997280.795816661700272
500.880.982215626369967-0.102215626369967
511.041.04735831384033-0.00735831384032704
520.830.952863033656425-0.122863033656425
531.411.274631499030290.135368500969709
540.961.16208997747290-0.202089977472904
551.30.9934102308765970.306589769123403
560.830.8289403266939480.00105967330605183
571.40.7845630478340160.615436952165984
580.910.923324909630874-0.0133249096308743
590.871.08891873823856-0.218918738238562
600.971.29198505364232-0.321985053642322
611.191.21099405173992-0.0209940517399161
621.230.972782595101920.257217404898080
631.331.096536090604650.233463909395346
641.171.014272917219340.155727082780661
651.091.40936012900906-0.319360129009059
660.631.18983387502388-0.559833875023882
670.891.05388374140742-0.163883741407416
680.630.785310185577734-0.155310185577734
691.510.8144348875079560.695565112492044
700.970.8681285981653270.101871401834673
710.841.01687231681326-0.176872316813263
720.921.20955668737438-0.289556687374377
730.951.17801009791213-0.228010097912132
740.730.95630020308896-0.226300203088961
751.021.01689024033690.00310975966309934
760.790.894505890078289-0.104505890078289
771.271.185791676020110.0842083239798916
780.950.979680399212409-0.0296803992124086
790.750.968840555863587-0.218840555863587
800.520.694790062778179-0.174790062778179
810.950.8499941759837260.100005824016274
820.820.7406599119464380.079340088053562
830.760.844537959470516-0.0845379594705165
841.241.031584329047240.208415670952758
850.941.07068888811715-0.130688888117146
861.040.8612286411943940.178771358805606
871.811.006369898679250.803630101320755
880.950.966372234563684-0.0163722345636839
891.391.2970127153150.0929872846849997
900.861.07478628333307-0.214786283333073
911.151.012575950097820.137424049902180
921.510.7890741886069820.720925811393018
930.61.09613753120049-0.496137531200491
940.720.910228839820232-0.190228839820232
951.10.956146783930980.143853216069019
961.621.215569556794040.404430443205959
971.841.227622352482680.612377647517316
981.731.156446820765710.573553179234289
991.361.44458303029565-0.084583030295649
1001.071.17132604323048-0.101326043230479
10111.50801187862358-0.508011878623576
1021.491.165260284182720.324739715817284
1030.91.22271049992060-0.322710499920601
1041.431.030620160665230.399379839334773
1051.541.114291199384240.425708800615758
1060.811.08815934931670-0.278159349316703
1071.611.173688305160040.436311694839965
1081.31.50849281097775-0.208492810977747
1091.41.47642351099803-0.0764235109980345
1101.031.31451478156523-0.284514781565226
1110.791.39754731522462-0.60754731522462
1121.111.057324998994300.052675001005704
1131.151.35157776732695-0.201577767326946
1141.031.17232653826326-0.142326538263258
1151.591.074464011130350.515535988869652
1161.111.094691922412810.0153080775871859
1171.331.135015050855320.194984949144678
1180.930.974172510632916-0.0441725106329157
1191.071.19641521184384-0.126415211843843
1201.141.36451961620046-0.22451961620046
1211.121.35041763910797-0.230417639107973
1220.861.13811332144572-0.278113321445724
1230.821.17315766461991-0.353157664619906
1241.020.963971635736820.0560283642631807
1251.071.22024618072322-0.150246180723223
1261.311.056266545510770.253733454489234
1270.981.10653993370559-0.126539933705590
1280.890.972121367429986-0.0821213674299863
1290.81.02757037189790-0.227570371897902
1300.80.7785505024324370.0214494975675626
1310.780.996460434599164-0.216460434599164
1320.971.13865642060915-0.168656420609148

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 0.96 & 0.984482323232324 & -0.0244823232323237 \tabularnewline
14 & 0.83 & 0.868132393895657 & -0.0381323938956566 \tabularnewline
15 & 0.87 & 0.904267234119018 & -0.0342672341190178 \tabularnewline
16 & 0.79 & 0.831711654371085 & -0.0417116543710853 \tabularnewline
17 & 1.12 & 1.16407214172458 & -0.0440721417245842 \tabularnewline
18 & 0.88 & 0.922808447664324 & -0.0428084476643238 \tabularnewline
19 & 0.64 & 1.00545046000559 & -0.365450460005594 \tabularnewline
20 & 0.64 & 0.585421383859182 & 0.0545786161408183 \tabularnewline
21 & 0.58 & 0.532979635973936 & 0.0470203640260635 \tabularnewline
22 & 0.5 & 0.707939929366724 & -0.207939929366724 \tabularnewline
23 & 0.99 & 0.8085685553693 & 0.181431444630699 \tabularnewline
24 & 1.07 & 1.19759034599861 & -0.127590345998609 \tabularnewline
25 & 0.89 & 0.901505843022384 & -0.0115058430223839 \tabularnewline
26 & 0.89 & 0.784693694249334 & 0.105306305750666 \tabularnewline
27 & 0.83 & 0.839085999789387 & -0.00908599978938707 \tabularnewline
28 & 0.86 & 0.76850904733124 & 0.0914909526687607 \tabularnewline
29 & 0.9 & 1.11692570298516 & -0.216925702985162 \tabularnewline
30 & 1.12 & 0.85455462518542 & 0.26544537481458 \tabularnewline
31 & 0.88 & 0.926460234134148 & -0.046460234134148 \tabularnewline
32 & 0.88 & 0.609158760381252 & 0.270841239618748 \tabularnewline
33 & 0.89 & 0.582222595971043 & 0.307777404028957 \tabularnewline
34 & 0.82 & 0.750813894702628 & 0.0691861052973722 \tabularnewline
35 & 0.88 & 0.944382594095245 & -0.0643825940952453 \tabularnewline
36 & 0.81 & 1.25645497447559 & -0.446454974475589 \tabularnewline
37 & 0.88 & 0.938609894397542 & -0.0586098943975419 \tabularnewline
38 & 0.76 & 0.833632093038398 & -0.0736320930383976 \tabularnewline
39 & 1.13 & 0.848703559329938 & 0.281296440670062 \tabularnewline
40 & 0.85 & 0.829092976446526 & 0.0209070235534741 \tabularnewline
41 & 1.45 & 1.12224262023601 & 0.327757379763993 \tabularnewline
42 & 1.55 & 0.999821406652744 & 0.550178593347256 \tabularnewline
43 & 0.71 & 1.05971367956122 & -0.349713679561217 \tabularnewline
44 & 0.81 & 0.752958326614725 & 0.0570416733852755 \tabularnewline
45 & 0.83 & 0.705256042029533 & 0.124743957970467 \tabularnewline
46 & 0.73 & 0.8152682520169 & -0.0852682520169006 \tabularnewline
47 & 0.9 & 0.969637341661197 & -0.069637341661197 \tabularnewline
48 & 0.94 & 1.22337046822984 & -0.283370468229835 \tabularnewline
49 & 1.78 & 0.984183338299728 & 0.795816661700272 \tabularnewline
50 & 0.88 & 0.982215626369967 & -0.102215626369967 \tabularnewline
51 & 1.04 & 1.04735831384033 & -0.00735831384032704 \tabularnewline
52 & 0.83 & 0.952863033656425 & -0.122863033656425 \tabularnewline
53 & 1.41 & 1.27463149903029 & 0.135368500969709 \tabularnewline
54 & 0.96 & 1.16208997747290 & -0.202089977472904 \tabularnewline
55 & 1.3 & 0.993410230876597 & 0.306589769123403 \tabularnewline
56 & 0.83 & 0.828940326693948 & 0.00105967330605183 \tabularnewline
57 & 1.4 & 0.784563047834016 & 0.615436952165984 \tabularnewline
58 & 0.91 & 0.923324909630874 & -0.0133249096308743 \tabularnewline
59 & 0.87 & 1.08891873823856 & -0.218918738238562 \tabularnewline
60 & 0.97 & 1.29198505364232 & -0.321985053642322 \tabularnewline
61 & 1.19 & 1.21099405173992 & -0.0209940517399161 \tabularnewline
62 & 1.23 & 0.97278259510192 & 0.257217404898080 \tabularnewline
63 & 1.33 & 1.09653609060465 & 0.233463909395346 \tabularnewline
64 & 1.17 & 1.01427291721934 & 0.155727082780661 \tabularnewline
65 & 1.09 & 1.40936012900906 & -0.319360129009059 \tabularnewline
66 & 0.63 & 1.18983387502388 & -0.559833875023882 \tabularnewline
67 & 0.89 & 1.05388374140742 & -0.163883741407416 \tabularnewline
68 & 0.63 & 0.785310185577734 & -0.155310185577734 \tabularnewline
69 & 1.51 & 0.814434887507956 & 0.695565112492044 \tabularnewline
70 & 0.97 & 0.868128598165327 & 0.101871401834673 \tabularnewline
71 & 0.84 & 1.01687231681326 & -0.176872316813263 \tabularnewline
72 & 0.92 & 1.20955668737438 & -0.289556687374377 \tabularnewline
73 & 0.95 & 1.17801009791213 & -0.228010097912132 \tabularnewline
74 & 0.73 & 0.95630020308896 & -0.226300203088961 \tabularnewline
75 & 1.02 & 1.0168902403369 & 0.00310975966309934 \tabularnewline
76 & 0.79 & 0.894505890078289 & -0.104505890078289 \tabularnewline
77 & 1.27 & 1.18579167602011 & 0.0842083239798916 \tabularnewline
78 & 0.95 & 0.979680399212409 & -0.0296803992124086 \tabularnewline
79 & 0.75 & 0.968840555863587 & -0.218840555863587 \tabularnewline
80 & 0.52 & 0.694790062778179 & -0.174790062778179 \tabularnewline
81 & 0.95 & 0.849994175983726 & 0.100005824016274 \tabularnewline
82 & 0.82 & 0.740659911946438 & 0.079340088053562 \tabularnewline
83 & 0.76 & 0.844537959470516 & -0.0845379594705165 \tabularnewline
84 & 1.24 & 1.03158432904724 & 0.208415670952758 \tabularnewline
85 & 0.94 & 1.07068888811715 & -0.130688888117146 \tabularnewline
86 & 1.04 & 0.861228641194394 & 0.178771358805606 \tabularnewline
87 & 1.81 & 1.00636989867925 & 0.803630101320755 \tabularnewline
88 & 0.95 & 0.966372234563684 & -0.0163722345636839 \tabularnewline
89 & 1.39 & 1.297012715315 & 0.0929872846849997 \tabularnewline
90 & 0.86 & 1.07478628333307 & -0.214786283333073 \tabularnewline
91 & 1.15 & 1.01257595009782 & 0.137424049902180 \tabularnewline
92 & 1.51 & 0.789074188606982 & 0.720925811393018 \tabularnewline
93 & 0.6 & 1.09613753120049 & -0.496137531200491 \tabularnewline
94 & 0.72 & 0.910228839820232 & -0.190228839820232 \tabularnewline
95 & 1.1 & 0.95614678393098 & 0.143853216069019 \tabularnewline
96 & 1.62 & 1.21556955679404 & 0.404430443205959 \tabularnewline
97 & 1.84 & 1.22762235248268 & 0.612377647517316 \tabularnewline
98 & 1.73 & 1.15644682076571 & 0.573553179234289 \tabularnewline
99 & 1.36 & 1.44458303029565 & -0.084583030295649 \tabularnewline
100 & 1.07 & 1.17132604323048 & -0.101326043230479 \tabularnewline
101 & 1 & 1.50801187862358 & -0.508011878623576 \tabularnewline
102 & 1.49 & 1.16526028418272 & 0.324739715817284 \tabularnewline
103 & 0.9 & 1.22271049992060 & -0.322710499920601 \tabularnewline
104 & 1.43 & 1.03062016066523 & 0.399379839334773 \tabularnewline
105 & 1.54 & 1.11429119938424 & 0.425708800615758 \tabularnewline
106 & 0.81 & 1.08815934931670 & -0.278159349316703 \tabularnewline
107 & 1.61 & 1.17368830516004 & 0.436311694839965 \tabularnewline
108 & 1.3 & 1.50849281097775 & -0.208492810977747 \tabularnewline
109 & 1.4 & 1.47642351099803 & -0.0764235109980345 \tabularnewline
110 & 1.03 & 1.31451478156523 & -0.284514781565226 \tabularnewline
111 & 0.79 & 1.39754731522462 & -0.60754731522462 \tabularnewline
112 & 1.11 & 1.05732499899430 & 0.052675001005704 \tabularnewline
113 & 1.15 & 1.35157776732695 & -0.201577767326946 \tabularnewline
114 & 1.03 & 1.17232653826326 & -0.142326538263258 \tabularnewline
115 & 1.59 & 1.07446401113035 & 0.515535988869652 \tabularnewline
116 & 1.11 & 1.09469192241281 & 0.0153080775871859 \tabularnewline
117 & 1.33 & 1.13501505085532 & 0.194984949144678 \tabularnewline
118 & 0.93 & 0.974172510632916 & -0.0441725106329157 \tabularnewline
119 & 1.07 & 1.19641521184384 & -0.126415211843843 \tabularnewline
120 & 1.14 & 1.36451961620046 & -0.22451961620046 \tabularnewline
121 & 1.12 & 1.35041763910797 & -0.230417639107973 \tabularnewline
122 & 0.86 & 1.13811332144572 & -0.278113321445724 \tabularnewline
123 & 0.82 & 1.17315766461991 & -0.353157664619906 \tabularnewline
124 & 1.02 & 0.96397163573682 & 0.0560283642631807 \tabularnewline
125 & 1.07 & 1.22024618072322 & -0.150246180723223 \tabularnewline
126 & 1.31 & 1.05626654551077 & 0.253733454489234 \tabularnewline
127 & 0.98 & 1.10653993370559 & -0.126539933705590 \tabularnewline
128 & 0.89 & 0.972121367429986 & -0.0821213674299863 \tabularnewline
129 & 0.8 & 1.02757037189790 & -0.227570371897902 \tabularnewline
130 & 0.8 & 0.778550502432437 & 0.0214494975675626 \tabularnewline
131 & 0.78 & 0.996460434599164 & -0.216460434599164 \tabularnewline
132 & 0.97 & 1.13865642060915 & -0.168656420609148 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42859&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]0.96[/C][C]0.984482323232324[/C][C]-0.0244823232323237[/C][/ROW]
[ROW][C]14[/C][C]0.83[/C][C]0.868132393895657[/C][C]-0.0381323938956566[/C][/ROW]
[ROW][C]15[/C][C]0.87[/C][C]0.904267234119018[/C][C]-0.0342672341190178[/C][/ROW]
[ROW][C]16[/C][C]0.79[/C][C]0.831711654371085[/C][C]-0.0417116543710853[/C][/ROW]
[ROW][C]17[/C][C]1.12[/C][C]1.16407214172458[/C][C]-0.0440721417245842[/C][/ROW]
[ROW][C]18[/C][C]0.88[/C][C]0.922808447664324[/C][C]-0.0428084476643238[/C][/ROW]
[ROW][C]19[/C][C]0.64[/C][C]1.00545046000559[/C][C]-0.365450460005594[/C][/ROW]
[ROW][C]20[/C][C]0.64[/C][C]0.585421383859182[/C][C]0.0545786161408183[/C][/ROW]
[ROW][C]21[/C][C]0.58[/C][C]0.532979635973936[/C][C]0.0470203640260635[/C][/ROW]
[ROW][C]22[/C][C]0.5[/C][C]0.707939929366724[/C][C]-0.207939929366724[/C][/ROW]
[ROW][C]23[/C][C]0.99[/C][C]0.8085685553693[/C][C]0.181431444630699[/C][/ROW]
[ROW][C]24[/C][C]1.07[/C][C]1.19759034599861[/C][C]-0.127590345998609[/C][/ROW]
[ROW][C]25[/C][C]0.89[/C][C]0.901505843022384[/C][C]-0.0115058430223839[/C][/ROW]
[ROW][C]26[/C][C]0.89[/C][C]0.784693694249334[/C][C]0.105306305750666[/C][/ROW]
[ROW][C]27[/C][C]0.83[/C][C]0.839085999789387[/C][C]-0.00908599978938707[/C][/ROW]
[ROW][C]28[/C][C]0.86[/C][C]0.76850904733124[/C][C]0.0914909526687607[/C][/ROW]
[ROW][C]29[/C][C]0.9[/C][C]1.11692570298516[/C][C]-0.216925702985162[/C][/ROW]
[ROW][C]30[/C][C]1.12[/C][C]0.85455462518542[/C][C]0.26544537481458[/C][/ROW]
[ROW][C]31[/C][C]0.88[/C][C]0.926460234134148[/C][C]-0.046460234134148[/C][/ROW]
[ROW][C]32[/C][C]0.88[/C][C]0.609158760381252[/C][C]0.270841239618748[/C][/ROW]
[ROW][C]33[/C][C]0.89[/C][C]0.582222595971043[/C][C]0.307777404028957[/C][/ROW]
[ROW][C]34[/C][C]0.82[/C][C]0.750813894702628[/C][C]0.0691861052973722[/C][/ROW]
[ROW][C]35[/C][C]0.88[/C][C]0.944382594095245[/C][C]-0.0643825940952453[/C][/ROW]
[ROW][C]36[/C][C]0.81[/C][C]1.25645497447559[/C][C]-0.446454974475589[/C][/ROW]
[ROW][C]37[/C][C]0.88[/C][C]0.938609894397542[/C][C]-0.0586098943975419[/C][/ROW]
[ROW][C]38[/C][C]0.76[/C][C]0.833632093038398[/C][C]-0.0736320930383976[/C][/ROW]
[ROW][C]39[/C][C]1.13[/C][C]0.848703559329938[/C][C]0.281296440670062[/C][/ROW]
[ROW][C]40[/C][C]0.85[/C][C]0.829092976446526[/C][C]0.0209070235534741[/C][/ROW]
[ROW][C]41[/C][C]1.45[/C][C]1.12224262023601[/C][C]0.327757379763993[/C][/ROW]
[ROW][C]42[/C][C]1.55[/C][C]0.999821406652744[/C][C]0.550178593347256[/C][/ROW]
[ROW][C]43[/C][C]0.71[/C][C]1.05971367956122[/C][C]-0.349713679561217[/C][/ROW]
[ROW][C]44[/C][C]0.81[/C][C]0.752958326614725[/C][C]0.0570416733852755[/C][/ROW]
[ROW][C]45[/C][C]0.83[/C][C]0.705256042029533[/C][C]0.124743957970467[/C][/ROW]
[ROW][C]46[/C][C]0.73[/C][C]0.8152682520169[/C][C]-0.0852682520169006[/C][/ROW]
[ROW][C]47[/C][C]0.9[/C][C]0.969637341661197[/C][C]-0.069637341661197[/C][/ROW]
[ROW][C]48[/C][C]0.94[/C][C]1.22337046822984[/C][C]-0.283370468229835[/C][/ROW]
[ROW][C]49[/C][C]1.78[/C][C]0.984183338299728[/C][C]0.795816661700272[/C][/ROW]
[ROW][C]50[/C][C]0.88[/C][C]0.982215626369967[/C][C]-0.102215626369967[/C][/ROW]
[ROW][C]51[/C][C]1.04[/C][C]1.04735831384033[/C][C]-0.00735831384032704[/C][/ROW]
[ROW][C]52[/C][C]0.83[/C][C]0.952863033656425[/C][C]-0.122863033656425[/C][/ROW]
[ROW][C]53[/C][C]1.41[/C][C]1.27463149903029[/C][C]0.135368500969709[/C][/ROW]
[ROW][C]54[/C][C]0.96[/C][C]1.16208997747290[/C][C]-0.202089977472904[/C][/ROW]
[ROW][C]55[/C][C]1.3[/C][C]0.993410230876597[/C][C]0.306589769123403[/C][/ROW]
[ROW][C]56[/C][C]0.83[/C][C]0.828940326693948[/C][C]0.00105967330605183[/C][/ROW]
[ROW][C]57[/C][C]1.4[/C][C]0.784563047834016[/C][C]0.615436952165984[/C][/ROW]
[ROW][C]58[/C][C]0.91[/C][C]0.923324909630874[/C][C]-0.0133249096308743[/C][/ROW]
[ROW][C]59[/C][C]0.87[/C][C]1.08891873823856[/C][C]-0.218918738238562[/C][/ROW]
[ROW][C]60[/C][C]0.97[/C][C]1.29198505364232[/C][C]-0.321985053642322[/C][/ROW]
[ROW][C]61[/C][C]1.19[/C][C]1.21099405173992[/C][C]-0.0209940517399161[/C][/ROW]
[ROW][C]62[/C][C]1.23[/C][C]0.97278259510192[/C][C]0.257217404898080[/C][/ROW]
[ROW][C]63[/C][C]1.33[/C][C]1.09653609060465[/C][C]0.233463909395346[/C][/ROW]
[ROW][C]64[/C][C]1.17[/C][C]1.01427291721934[/C][C]0.155727082780661[/C][/ROW]
[ROW][C]65[/C][C]1.09[/C][C]1.40936012900906[/C][C]-0.319360129009059[/C][/ROW]
[ROW][C]66[/C][C]0.63[/C][C]1.18983387502388[/C][C]-0.559833875023882[/C][/ROW]
[ROW][C]67[/C][C]0.89[/C][C]1.05388374140742[/C][C]-0.163883741407416[/C][/ROW]
[ROW][C]68[/C][C]0.63[/C][C]0.785310185577734[/C][C]-0.155310185577734[/C][/ROW]
[ROW][C]69[/C][C]1.51[/C][C]0.814434887507956[/C][C]0.695565112492044[/C][/ROW]
[ROW][C]70[/C][C]0.97[/C][C]0.868128598165327[/C][C]0.101871401834673[/C][/ROW]
[ROW][C]71[/C][C]0.84[/C][C]1.01687231681326[/C][C]-0.176872316813263[/C][/ROW]
[ROW][C]72[/C][C]0.92[/C][C]1.20955668737438[/C][C]-0.289556687374377[/C][/ROW]
[ROW][C]73[/C][C]0.95[/C][C]1.17801009791213[/C][C]-0.228010097912132[/C][/ROW]
[ROW][C]74[/C][C]0.73[/C][C]0.95630020308896[/C][C]-0.226300203088961[/C][/ROW]
[ROW][C]75[/C][C]1.02[/C][C]1.0168902403369[/C][C]0.00310975966309934[/C][/ROW]
[ROW][C]76[/C][C]0.79[/C][C]0.894505890078289[/C][C]-0.104505890078289[/C][/ROW]
[ROW][C]77[/C][C]1.27[/C][C]1.18579167602011[/C][C]0.0842083239798916[/C][/ROW]
[ROW][C]78[/C][C]0.95[/C][C]0.979680399212409[/C][C]-0.0296803992124086[/C][/ROW]
[ROW][C]79[/C][C]0.75[/C][C]0.968840555863587[/C][C]-0.218840555863587[/C][/ROW]
[ROW][C]80[/C][C]0.52[/C][C]0.694790062778179[/C][C]-0.174790062778179[/C][/ROW]
[ROW][C]81[/C][C]0.95[/C][C]0.849994175983726[/C][C]0.100005824016274[/C][/ROW]
[ROW][C]82[/C][C]0.82[/C][C]0.740659911946438[/C][C]0.079340088053562[/C][/ROW]
[ROW][C]83[/C][C]0.76[/C][C]0.844537959470516[/C][C]-0.0845379594705165[/C][/ROW]
[ROW][C]84[/C][C]1.24[/C][C]1.03158432904724[/C][C]0.208415670952758[/C][/ROW]
[ROW][C]85[/C][C]0.94[/C][C]1.07068888811715[/C][C]-0.130688888117146[/C][/ROW]
[ROW][C]86[/C][C]1.04[/C][C]0.861228641194394[/C][C]0.178771358805606[/C][/ROW]
[ROW][C]87[/C][C]1.81[/C][C]1.00636989867925[/C][C]0.803630101320755[/C][/ROW]
[ROW][C]88[/C][C]0.95[/C][C]0.966372234563684[/C][C]-0.0163722345636839[/C][/ROW]
[ROW][C]89[/C][C]1.39[/C][C]1.297012715315[/C][C]0.0929872846849997[/C][/ROW]
[ROW][C]90[/C][C]0.86[/C][C]1.07478628333307[/C][C]-0.214786283333073[/C][/ROW]
[ROW][C]91[/C][C]1.15[/C][C]1.01257595009782[/C][C]0.137424049902180[/C][/ROW]
[ROW][C]92[/C][C]1.51[/C][C]0.789074188606982[/C][C]0.720925811393018[/C][/ROW]
[ROW][C]93[/C][C]0.6[/C][C]1.09613753120049[/C][C]-0.496137531200491[/C][/ROW]
[ROW][C]94[/C][C]0.72[/C][C]0.910228839820232[/C][C]-0.190228839820232[/C][/ROW]
[ROW][C]95[/C][C]1.1[/C][C]0.95614678393098[/C][C]0.143853216069019[/C][/ROW]
[ROW][C]96[/C][C]1.62[/C][C]1.21556955679404[/C][C]0.404430443205959[/C][/ROW]
[ROW][C]97[/C][C]1.84[/C][C]1.22762235248268[/C][C]0.612377647517316[/C][/ROW]
[ROW][C]98[/C][C]1.73[/C][C]1.15644682076571[/C][C]0.573553179234289[/C][/ROW]
[ROW][C]99[/C][C]1.36[/C][C]1.44458303029565[/C][C]-0.084583030295649[/C][/ROW]
[ROW][C]100[/C][C]1.07[/C][C]1.17132604323048[/C][C]-0.101326043230479[/C][/ROW]
[ROW][C]101[/C][C]1[/C][C]1.50801187862358[/C][C]-0.508011878623576[/C][/ROW]
[ROW][C]102[/C][C]1.49[/C][C]1.16526028418272[/C][C]0.324739715817284[/C][/ROW]
[ROW][C]103[/C][C]0.9[/C][C]1.22271049992060[/C][C]-0.322710499920601[/C][/ROW]
[ROW][C]104[/C][C]1.43[/C][C]1.03062016066523[/C][C]0.399379839334773[/C][/ROW]
[ROW][C]105[/C][C]1.54[/C][C]1.11429119938424[/C][C]0.425708800615758[/C][/ROW]
[ROW][C]106[/C][C]0.81[/C][C]1.08815934931670[/C][C]-0.278159349316703[/C][/ROW]
[ROW][C]107[/C][C]1.61[/C][C]1.17368830516004[/C][C]0.436311694839965[/C][/ROW]
[ROW][C]108[/C][C]1.3[/C][C]1.50849281097775[/C][C]-0.208492810977747[/C][/ROW]
[ROW][C]109[/C][C]1.4[/C][C]1.47642351099803[/C][C]-0.0764235109980345[/C][/ROW]
[ROW][C]110[/C][C]1.03[/C][C]1.31451478156523[/C][C]-0.284514781565226[/C][/ROW]
[ROW][C]111[/C][C]0.79[/C][C]1.39754731522462[/C][C]-0.60754731522462[/C][/ROW]
[ROW][C]112[/C][C]1.11[/C][C]1.05732499899430[/C][C]0.052675001005704[/C][/ROW]
[ROW][C]113[/C][C]1.15[/C][C]1.35157776732695[/C][C]-0.201577767326946[/C][/ROW]
[ROW][C]114[/C][C]1.03[/C][C]1.17232653826326[/C][C]-0.142326538263258[/C][/ROW]
[ROW][C]115[/C][C]1.59[/C][C]1.07446401113035[/C][C]0.515535988869652[/C][/ROW]
[ROW][C]116[/C][C]1.11[/C][C]1.09469192241281[/C][C]0.0153080775871859[/C][/ROW]
[ROW][C]117[/C][C]1.33[/C][C]1.13501505085532[/C][C]0.194984949144678[/C][/ROW]
[ROW][C]118[/C][C]0.93[/C][C]0.974172510632916[/C][C]-0.0441725106329157[/C][/ROW]
[ROW][C]119[/C][C]1.07[/C][C]1.19641521184384[/C][C]-0.126415211843843[/C][/ROW]
[ROW][C]120[/C][C]1.14[/C][C]1.36451961620046[/C][C]-0.22451961620046[/C][/ROW]
[ROW][C]121[/C][C]1.12[/C][C]1.35041763910797[/C][C]-0.230417639107973[/C][/ROW]
[ROW][C]122[/C][C]0.86[/C][C]1.13811332144572[/C][C]-0.278113321445724[/C][/ROW]
[ROW][C]123[/C][C]0.82[/C][C]1.17315766461991[/C][C]-0.353157664619906[/C][/ROW]
[ROW][C]124[/C][C]1.02[/C][C]0.96397163573682[/C][C]0.0560283642631807[/C][/ROW]
[ROW][C]125[/C][C]1.07[/C][C]1.22024618072322[/C][C]-0.150246180723223[/C][/ROW]
[ROW][C]126[/C][C]1.31[/C][C]1.05626654551077[/C][C]0.253733454489234[/C][/ROW]
[ROW][C]127[/C][C]0.98[/C][C]1.10653993370559[/C][C]-0.126539933705590[/C][/ROW]
[ROW][C]128[/C][C]0.89[/C][C]0.972121367429986[/C][C]-0.0821213674299863[/C][/ROW]
[ROW][C]129[/C][C]0.8[/C][C]1.02757037189790[/C][C]-0.227570371897902[/C][/ROW]
[ROW][C]130[/C][C]0.8[/C][C]0.778550502432437[/C][C]0.0214494975675626[/C][/ROW]
[ROW][C]131[/C][C]0.78[/C][C]0.996460434599164[/C][C]-0.216460434599164[/C][/ROW]
[ROW][C]132[/C][C]0.97[/C][C]1.13865642060915[/C][C]-0.168656420609148[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42859&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42859&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
130.960.984482323232324-0.0244823232323237
140.830.868132393895657-0.0381323938956566
150.870.904267234119018-0.0342672341190178
160.790.831711654371085-0.0417116543710853
171.121.16407214172458-0.0440721417245842
180.880.922808447664324-0.0428084476643238
190.641.00545046000559-0.365450460005594
200.640.5854213838591820.0545786161408183
210.580.5329796359739360.0470203640260635
220.50.707939929366724-0.207939929366724
230.990.80856855536930.181431444630699
241.071.19759034599861-0.127590345998609
250.890.901505843022384-0.0115058430223839
260.890.7846936942493340.105306305750666
270.830.839085999789387-0.00908599978938707
280.860.768509047331240.0914909526687607
290.91.11692570298516-0.216925702985162
301.120.854554625185420.26544537481458
310.880.926460234134148-0.046460234134148
320.880.6091587603812520.270841239618748
330.890.5822225959710430.307777404028957
340.820.7508138947026280.0691861052973722
350.880.944382594095245-0.0643825940952453
360.811.25645497447559-0.446454974475589
370.880.938609894397542-0.0586098943975419
380.760.833632093038398-0.0736320930383976
391.130.8487035593299380.281296440670062
400.850.8290929764465260.0209070235534741
411.451.122242620236010.327757379763993
421.550.9998214066527440.550178593347256
430.711.05971367956122-0.349713679561217
440.810.7529583266147250.0570416733852755
450.830.7052560420295330.124743957970467
460.730.8152682520169-0.0852682520169006
470.90.969637341661197-0.069637341661197
480.941.22337046822984-0.283370468229835
491.780.9841833382997280.795816661700272
500.880.982215626369967-0.102215626369967
511.041.04735831384033-0.00735831384032704
520.830.952863033656425-0.122863033656425
531.411.274631499030290.135368500969709
540.961.16208997747290-0.202089977472904
551.30.9934102308765970.306589769123403
560.830.8289403266939480.00105967330605183
571.40.7845630478340160.615436952165984
580.910.923324909630874-0.0133249096308743
590.871.08891873823856-0.218918738238562
600.971.29198505364232-0.321985053642322
611.191.21099405173992-0.0209940517399161
621.230.972782595101920.257217404898080
631.331.096536090604650.233463909395346
641.171.014272917219340.155727082780661
651.091.40936012900906-0.319360129009059
660.631.18983387502388-0.559833875023882
670.891.05388374140742-0.163883741407416
680.630.785310185577734-0.155310185577734
691.510.8144348875079560.695565112492044
700.970.8681285981653270.101871401834673
710.841.01687231681326-0.176872316813263
720.921.20955668737438-0.289556687374377
730.951.17801009791213-0.228010097912132
740.730.95630020308896-0.226300203088961
751.021.01689024033690.00310975966309934
760.790.894505890078289-0.104505890078289
771.271.185791676020110.0842083239798916
780.950.979680399212409-0.0296803992124086
790.750.968840555863587-0.218840555863587
800.520.694790062778179-0.174790062778179
810.950.8499941759837260.100005824016274
820.820.7406599119464380.079340088053562
830.760.844537959470516-0.0845379594705165
841.241.031584329047240.208415670952758
850.941.07068888811715-0.130688888117146
861.040.8612286411943940.178771358805606
871.811.006369898679250.803630101320755
880.950.966372234563684-0.0163722345636839
891.391.2970127153150.0929872846849997
900.861.07478628333307-0.214786283333073
911.151.012575950097820.137424049902180
921.510.7890741886069820.720925811393018
930.61.09613753120049-0.496137531200491
940.720.910228839820232-0.190228839820232
951.10.956146783930980.143853216069019
961.621.215569556794040.404430443205959
971.841.227622352482680.612377647517316
981.731.156446820765710.573553179234289
991.361.44458303029565-0.084583030295649
1001.071.17132604323048-0.101326043230479
10111.50801187862358-0.508011878623576
1021.491.165260284182720.324739715817284
1030.91.22271049992060-0.322710499920601
1041.431.030620160665230.399379839334773
1051.541.114291199384240.425708800615758
1060.811.08815934931670-0.278159349316703
1071.611.173688305160040.436311694839965
1081.31.50849281097775-0.208492810977747
1091.41.47642351099803-0.0764235109980345
1101.031.31451478156523-0.284514781565226
1110.791.39754731522462-0.60754731522462
1121.111.057324998994300.052675001005704
1131.151.35157776732695-0.201577767326946
1141.031.17232653826326-0.142326538263258
1151.591.074464011130350.515535988869652
1161.111.094691922412810.0153080775871859
1171.331.135015050855320.194984949144678
1180.930.974172510632916-0.0441725106329157
1191.071.19641521184384-0.126415211843843
1201.141.36451961620046-0.22451961620046
1211.121.35041763910797-0.230417639107973
1220.861.13811332144572-0.278113321445724
1230.821.17315766461991-0.353157664619906
1241.020.963971635736820.0560283642631807
1251.071.22024618072322-0.150246180723223
1261.311.056266545510770.253733454489234
1270.981.10653993370559-0.126539933705590
1280.890.972121367429986-0.0821213674299863
1290.81.02757037189790-0.227570371897902
1300.80.7785505024324370.0214494975675626
1310.780.996460434599164-0.216460434599164
1320.971.13865642060915-0.168656420609148







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331.130547058249230.5825997006633131.67849441583514
1340.9394318059722490.3873406479655271.49152296397897
1350.9974124846526660.4412083972773381.55361657202799
1360.8935267405017120.3332399149589011.45381356604452
1371.111750895184370.5474108674168341.67609092295190
1381.027283602060200.4589192761173421.59564792800305
1390.9888730085784750.4165126788312991.56123333832565
1400.8767531649568450.3004245372346801.45308179267901
1410.9203584102627680.3400886219781021.50062819854744
1420.7369799418117030.1527955811345701.32116430248884
1430.9163232789699640.3282504031088431.50439615483108
1441.092408758692080.5004729113341211.68434460605004

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1.13054705824923 & 0.582599700663313 & 1.67849441583514 \tabularnewline
134 & 0.939431805972249 & 0.387340647965527 & 1.49152296397897 \tabularnewline
135 & 0.997412484652666 & 0.441208397277338 & 1.55361657202799 \tabularnewline
136 & 0.893526740501712 & 0.333239914958901 & 1.45381356604452 \tabularnewline
137 & 1.11175089518437 & 0.547410867416834 & 1.67609092295190 \tabularnewline
138 & 1.02728360206020 & 0.458919276117342 & 1.59564792800305 \tabularnewline
139 & 0.988873008578475 & 0.416512678831299 & 1.56123333832565 \tabularnewline
140 & 0.876753164956845 & 0.300424537234680 & 1.45308179267901 \tabularnewline
141 & 0.920358410262768 & 0.340088621978102 & 1.50062819854744 \tabularnewline
142 & 0.736979941811703 & 0.152795581134570 & 1.32116430248884 \tabularnewline
143 & 0.916323278969964 & 0.328250403108843 & 1.50439615483108 \tabularnewline
144 & 1.09240875869208 & 0.500472911334121 & 1.68434460605004 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42859&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]133[/C][C]1.13054705824923[/C][C]0.582599700663313[/C][C]1.67849441583514[/C][/ROW]
[ROW][C]134[/C][C]0.939431805972249[/C][C]0.387340647965527[/C][C]1.49152296397897[/C][/ROW]
[ROW][C]135[/C][C]0.997412484652666[/C][C]0.441208397277338[/C][C]1.55361657202799[/C][/ROW]
[ROW][C]136[/C][C]0.893526740501712[/C][C]0.333239914958901[/C][C]1.45381356604452[/C][/ROW]
[ROW][C]137[/C][C]1.11175089518437[/C][C]0.547410867416834[/C][C]1.67609092295190[/C][/ROW]
[ROW][C]138[/C][C]1.02728360206020[/C][C]0.458919276117342[/C][C]1.59564792800305[/C][/ROW]
[ROW][C]139[/C][C]0.988873008578475[/C][C]0.416512678831299[/C][C]1.56123333832565[/C][/ROW]
[ROW][C]140[/C][C]0.876753164956845[/C][C]0.300424537234680[/C][C]1.45308179267901[/C][/ROW]
[ROW][C]141[/C][C]0.920358410262768[/C][C]0.340088621978102[/C][C]1.50062819854744[/C][/ROW]
[ROW][C]142[/C][C]0.736979941811703[/C][C]0.152795581134570[/C][C]1.32116430248884[/C][/ROW]
[ROW][C]143[/C][C]0.916323278969964[/C][C]0.328250403108843[/C][C]1.50439615483108[/C][/ROW]
[ROW][C]144[/C][C]1.09240875869208[/C][C]0.500472911334121[/C][C]1.68434460605004[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42859&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42859&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
1331.130547058249230.5825997006633131.67849441583514
1340.9394318059722490.3873406479655271.49152296397897
1350.9974124846526660.4412083972773381.55361657202799
1360.8935267405017120.3332399149589011.45381356604452
1371.111750895184370.5474108674168341.67609092295190
1381.027283602060200.4589192761173421.59564792800305
1390.9888730085784750.4165126788312991.56123333832565
1400.8767531649568450.3004245372346801.45308179267901
1410.9203584102627680.3400886219781021.50062819854744
1420.7369799418117030.1527955811345701.32116430248884
1430.9163232789699640.3282504031088431.50439615483108
1441.092408758692080.5004729113341211.68434460605004



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')