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 12:12:37 -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/t1250619226un6r2cpxqykitx5.htm/, Retrieved Mon, 06 May 2024 22:19:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42861, Retrieved Mon, 06 May 2024 22:19:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opgave10_hanne ja...] [2009-08-18 18:12:37] [49ed6f8c7db7571d0c4403fef2ba00f0] [Current]
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Dataseries X:
0.88
1.03
0.69
0.71
1.11
1.05
1.03
0.65
0.59
0.77
0.9
1.26
0.96
0.83
0.87
0.79
1.12
0.88
0.64
0.64
0.58
0.5
0.99
1.07
0.89
0.89
0.83
0.86
0.9
1.12
0.88
0.88
0.89
0.82
0.88
0.81
0.88
0.76
1.13
0.85
1.45
1.55
0.71
0.81
0.83
0.73
0.9
0.94
1.78
0.88
1.04
0.83
1.41
0.96
1.3
0.83
1.4
0.91
0.87
0.97
1.19
1.23
1.33
1.17
1.09
0.63
0.89
0.63
1.51
0.97
0.84
0.92
0.95
0.73
1.02
0.79
1.27
0.95
0.75
0.52
0.95
0.82
0.76
1.24
0.94
1.04
1.81
0.95
1.39
0.86
1.15
1.51
0.6
0.72
1.1
1.62
1.84
1.73
1.36
1.07
1
1.49
0.9
1.43
1.54
0.81
1.61
1.3
1.4
1.03
0.79
1.11
1.15
1.03
1.59
1.11
1.33
0.93
1.07
1.14
1.12
0.86
0.82
1.02
1.07
1.31
0.98
0.89
0.8
0.8
0.78
0.97




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=42861&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=42861&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42861&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
alpha0.125224748724491
beta0.00097099762190841
gamma0.212367616296001

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.125224748724491 \tabularnewline
beta & 0.00097099762190841 \tabularnewline
gamma & 0.212367616296001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42861&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]0.125224748724491[/C][/ROW]
[ROW][C]beta[/C][C]0.00097099762190841[/C][/ROW]
[ROW][C]gamma[/C][C]0.212367616296001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42861&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42861&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
alpha0.125224748724491
beta0.00097099762190841
gamma0.212367616296001







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.960.978218492913525-0.0182184929135246
140.830.85406704310582-0.0240670431058204
150.870.886464128110635-0.0164641281106354
160.790.80824190251969-0.0182419025196893
171.121.14435940868487-0.0243594086848700
180.880.894502420320822-0.0145024203208223
190.640.964826068801091-0.324826068801091
200.640.5818026044293660.0581973955706335
210.580.5309658024316980.049034197568302
220.50.68703651045602-0.187036510456020
230.990.7660314113521030.223968588647897
241.071.11101242327162-0.0410124232716242
250.890.855132072629830.0348679273701705
260.890.7500828402673550.139917159732645
270.830.800378382924720.0296216170752797
280.860.7337730921075180.126226907892482
290.91.06403082131679-0.164030821316790
301.120.8180696905407780.301930309459222
310.880.8670421155886730.0129578844113271
320.880.5958987394137860.284101260586214
330.890.5686954814614760.321304518538524
340.820.7265461820049140.0934538179950863
350.880.947773736420089-0.0677737364200888
360.811.24148598574152-0.431485985741516
370.880.932273251398703-0.0522732513987033
380.760.829555047432056-0.0695550474320562
391.130.8338501733410460.296149826658954
400.850.8146580688620880.0353419311379124
411.451.095143202384100.354856797615897
421.550.9816696714234560.568330328576544
430.711.00501116557717-0.295011165577174
440.810.7183024385183540.0916975614816462
450.830.6663973166286540.163602683371346
460.730.764166112476198-0.0341661124761977
470.90.940479163017474-0.0404791630174745
480.941.16874646554381-0.228746465543811
491.780.9501336892662950.829866310733705
500.880.94065371922092-0.0606537192209202
511.041.025099466377530.0149005336224732
520.830.91158886297128-0.0815888629712807
531.411.265729435466060.144270564533945
540.961.15091707776968-0.190917077769678
551.30.9222845631188720.377715436881128
560.830.7808182205719690.0491817794280308
571.40.7336497721860060.666350227813994
580.910.8640997070327590.0459002929672413
590.871.07809735673952-0.208097356739520
600.971.27699405605982-0.306994056059820
611.191.23016944679741-0.0401694467974052
621.230.942469799508660.28753020049134
631.331.091615158515430.238384841484567
641.170.9767632688734820.193236731126518
651.091.46082417848526-0.370824178485256
660.631.20371914882395-0.57371914882395
670.891.02593397149463-0.135933971494629
680.630.766338727156386-0.136338727156386
691.510.7947821626187960.715217837381204
700.970.8198468064033140.150153193596686
710.840.991272649343572-0.151272649343572
720.921.16859261206379-0.248592612063794
730.951.17684925767621-0.226849257676213
740.730.937075327576103-0.207075327576103
751.021.001103899084000.0188961009159958
760.790.870060874544225-0.0800608745442245
771.271.15120325016740.118796749832599
780.950.944049462285660.00595053771433929
790.750.92121887173072-0.171218871730719
800.520.676875031376488-0.156875031376488
810.950.8293759912964650.120624008703535
820.820.702322080699620.117677919300379
830.760.795489236574378-0.0354892365743783
841.240.938063482483230.301936517516771
850.941.01298720963013-0.0729872096301276
861.040.8138406474873910.226159352512609
871.810.9692863462759720.840713653724028
880.950.9129129135937650.0370870864062351
891.391.274357122761660.115642877238337
900.861.02595622787438-0.165956227874384
911.150.9448512667601920.205148733239808
921.510.7239781330394350.786021866960565
930.61.11708490493514-0.517084904935141
940.720.879906555323419-0.159906555323419
951.10.919124263671980.18087573632802
961.621.192663522558360.427336477441636
971.841.208486960547610.631513039452389
981.731.11310852635190.6168914736481
991.361.4977527443149-0.137752744314901
1001.071.10782758001556-0.0378275800155559
10111.54786348788537-0.547863487885366
1021.491.123694000257560.366305999742438
1030.91.18021747698010-0.280217476980098
1041.430.9687649690577270.461235030942273
1051.541.076457835410130.463542164589874
1060.811.00897401639684-0.198974016396842
1071.611.129663825042020.480336174957979
1081.31.54955081263107-0.249550812631069
1091.41.51167154942183-0.111671549421827
1101.031.30145390491299-0.271453904912995
1110.791.42940411534341-0.639404115343414
1121.111.020481553990350.0895184460096494
1131.151.35629070103301-0.206290701033012
1141.031.14830322506779-0.118303225067790
1151.591.03127416683330.558725833166699
1161.111.057588019146970.0524119808530332
1171.331.107892293668730.222107706331272
1180.930.903191375175950.0268086248240504
1191.071.16216476116275-0.0921647611627545
1201.141.35064595779376-0.210645957793758
1211.121.34040532417100-0.220405324171002
1220.861.11006198056912-0.250061980569117
1230.821.15464873677918-0.334648736779178
1241.020.937095478262950.0829045217370505
1251.071.18979577460339-0.119795774603390
1261.311.023194161515250.286805838484753
1270.981.07499867226716-0.0949986722671556
1280.890.940847153475755-0.0508471534757552
1290.80.998248083419452-0.198248083419452
1300.80.7502041847403290.0497958152596712
1310.780.948974283473725-0.168974283473725
1320.971.07151006727841-0.101510067278412

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 0.96 & 0.978218492913525 & -0.0182184929135246 \tabularnewline
14 & 0.83 & 0.85406704310582 & -0.0240670431058204 \tabularnewline
15 & 0.87 & 0.886464128110635 & -0.0164641281106354 \tabularnewline
16 & 0.79 & 0.80824190251969 & -0.0182419025196893 \tabularnewline
17 & 1.12 & 1.14435940868487 & -0.0243594086848700 \tabularnewline
18 & 0.88 & 0.894502420320822 & -0.0145024203208223 \tabularnewline
19 & 0.64 & 0.964826068801091 & -0.324826068801091 \tabularnewline
20 & 0.64 & 0.581802604429366 & 0.0581973955706335 \tabularnewline
21 & 0.58 & 0.530965802431698 & 0.049034197568302 \tabularnewline
22 & 0.5 & 0.68703651045602 & -0.187036510456020 \tabularnewline
23 & 0.99 & 0.766031411352103 & 0.223968588647897 \tabularnewline
24 & 1.07 & 1.11101242327162 & -0.0410124232716242 \tabularnewline
25 & 0.89 & 0.85513207262983 & 0.0348679273701705 \tabularnewline
26 & 0.89 & 0.750082840267355 & 0.139917159732645 \tabularnewline
27 & 0.83 & 0.80037838292472 & 0.0296216170752797 \tabularnewline
28 & 0.86 & 0.733773092107518 & 0.126226907892482 \tabularnewline
29 & 0.9 & 1.06403082131679 & -0.164030821316790 \tabularnewline
30 & 1.12 & 0.818069690540778 & 0.301930309459222 \tabularnewline
31 & 0.88 & 0.867042115588673 & 0.0129578844113271 \tabularnewline
32 & 0.88 & 0.595898739413786 & 0.284101260586214 \tabularnewline
33 & 0.89 & 0.568695481461476 & 0.321304518538524 \tabularnewline
34 & 0.82 & 0.726546182004914 & 0.0934538179950863 \tabularnewline
35 & 0.88 & 0.947773736420089 & -0.0677737364200888 \tabularnewline
36 & 0.81 & 1.24148598574152 & -0.431485985741516 \tabularnewline
37 & 0.88 & 0.932273251398703 & -0.0522732513987033 \tabularnewline
38 & 0.76 & 0.829555047432056 & -0.0695550474320562 \tabularnewline
39 & 1.13 & 0.833850173341046 & 0.296149826658954 \tabularnewline
40 & 0.85 & 0.814658068862088 & 0.0353419311379124 \tabularnewline
41 & 1.45 & 1.09514320238410 & 0.354856797615897 \tabularnewline
42 & 1.55 & 0.981669671423456 & 0.568330328576544 \tabularnewline
43 & 0.71 & 1.00501116557717 & -0.295011165577174 \tabularnewline
44 & 0.81 & 0.718302438518354 & 0.0916975614816462 \tabularnewline
45 & 0.83 & 0.666397316628654 & 0.163602683371346 \tabularnewline
46 & 0.73 & 0.764166112476198 & -0.0341661124761977 \tabularnewline
47 & 0.9 & 0.940479163017474 & -0.0404791630174745 \tabularnewline
48 & 0.94 & 1.16874646554381 & -0.228746465543811 \tabularnewline
49 & 1.78 & 0.950133689266295 & 0.829866310733705 \tabularnewline
50 & 0.88 & 0.94065371922092 & -0.0606537192209202 \tabularnewline
51 & 1.04 & 1.02509946637753 & 0.0149005336224732 \tabularnewline
52 & 0.83 & 0.91158886297128 & -0.0815888629712807 \tabularnewline
53 & 1.41 & 1.26572943546606 & 0.144270564533945 \tabularnewline
54 & 0.96 & 1.15091707776968 & -0.190917077769678 \tabularnewline
55 & 1.3 & 0.922284563118872 & 0.377715436881128 \tabularnewline
56 & 0.83 & 0.780818220571969 & 0.0491817794280308 \tabularnewline
57 & 1.4 & 0.733649772186006 & 0.666350227813994 \tabularnewline
58 & 0.91 & 0.864099707032759 & 0.0459002929672413 \tabularnewline
59 & 0.87 & 1.07809735673952 & -0.208097356739520 \tabularnewline
60 & 0.97 & 1.27699405605982 & -0.306994056059820 \tabularnewline
61 & 1.19 & 1.23016944679741 & -0.0401694467974052 \tabularnewline
62 & 1.23 & 0.94246979950866 & 0.28753020049134 \tabularnewline
63 & 1.33 & 1.09161515851543 & 0.238384841484567 \tabularnewline
64 & 1.17 & 0.976763268873482 & 0.193236731126518 \tabularnewline
65 & 1.09 & 1.46082417848526 & -0.370824178485256 \tabularnewline
66 & 0.63 & 1.20371914882395 & -0.57371914882395 \tabularnewline
67 & 0.89 & 1.02593397149463 & -0.135933971494629 \tabularnewline
68 & 0.63 & 0.766338727156386 & -0.136338727156386 \tabularnewline
69 & 1.51 & 0.794782162618796 & 0.715217837381204 \tabularnewline
70 & 0.97 & 0.819846806403314 & 0.150153193596686 \tabularnewline
71 & 0.84 & 0.991272649343572 & -0.151272649343572 \tabularnewline
72 & 0.92 & 1.16859261206379 & -0.248592612063794 \tabularnewline
73 & 0.95 & 1.17684925767621 & -0.226849257676213 \tabularnewline
74 & 0.73 & 0.937075327576103 & -0.207075327576103 \tabularnewline
75 & 1.02 & 1.00110389908400 & 0.0188961009159958 \tabularnewline
76 & 0.79 & 0.870060874544225 & -0.0800608745442245 \tabularnewline
77 & 1.27 & 1.1512032501674 & 0.118796749832599 \tabularnewline
78 & 0.95 & 0.94404946228566 & 0.00595053771433929 \tabularnewline
79 & 0.75 & 0.92121887173072 & -0.171218871730719 \tabularnewline
80 & 0.52 & 0.676875031376488 & -0.156875031376488 \tabularnewline
81 & 0.95 & 0.829375991296465 & 0.120624008703535 \tabularnewline
82 & 0.82 & 0.70232208069962 & 0.117677919300379 \tabularnewline
83 & 0.76 & 0.795489236574378 & -0.0354892365743783 \tabularnewline
84 & 1.24 & 0.93806348248323 & 0.301936517516771 \tabularnewline
85 & 0.94 & 1.01298720963013 & -0.0729872096301276 \tabularnewline
86 & 1.04 & 0.813840647487391 & 0.226159352512609 \tabularnewline
87 & 1.81 & 0.969286346275972 & 0.840713653724028 \tabularnewline
88 & 0.95 & 0.912912913593765 & 0.0370870864062351 \tabularnewline
89 & 1.39 & 1.27435712276166 & 0.115642877238337 \tabularnewline
90 & 0.86 & 1.02595622787438 & -0.165956227874384 \tabularnewline
91 & 1.15 & 0.944851266760192 & 0.205148733239808 \tabularnewline
92 & 1.51 & 0.723978133039435 & 0.786021866960565 \tabularnewline
93 & 0.6 & 1.11708490493514 & -0.517084904935141 \tabularnewline
94 & 0.72 & 0.879906555323419 & -0.159906555323419 \tabularnewline
95 & 1.1 & 0.91912426367198 & 0.18087573632802 \tabularnewline
96 & 1.62 & 1.19266352255836 & 0.427336477441636 \tabularnewline
97 & 1.84 & 1.20848696054761 & 0.631513039452389 \tabularnewline
98 & 1.73 & 1.1131085263519 & 0.6168914736481 \tabularnewline
99 & 1.36 & 1.4977527443149 & -0.137752744314901 \tabularnewline
100 & 1.07 & 1.10782758001556 & -0.0378275800155559 \tabularnewline
101 & 1 & 1.54786348788537 & -0.547863487885366 \tabularnewline
102 & 1.49 & 1.12369400025756 & 0.366305999742438 \tabularnewline
103 & 0.9 & 1.18021747698010 & -0.280217476980098 \tabularnewline
104 & 1.43 & 0.968764969057727 & 0.461235030942273 \tabularnewline
105 & 1.54 & 1.07645783541013 & 0.463542164589874 \tabularnewline
106 & 0.81 & 1.00897401639684 & -0.198974016396842 \tabularnewline
107 & 1.61 & 1.12966382504202 & 0.480336174957979 \tabularnewline
108 & 1.3 & 1.54955081263107 & -0.249550812631069 \tabularnewline
109 & 1.4 & 1.51167154942183 & -0.111671549421827 \tabularnewline
110 & 1.03 & 1.30145390491299 & -0.271453904912995 \tabularnewline
111 & 0.79 & 1.42940411534341 & -0.639404115343414 \tabularnewline
112 & 1.11 & 1.02048155399035 & 0.0895184460096494 \tabularnewline
113 & 1.15 & 1.35629070103301 & -0.206290701033012 \tabularnewline
114 & 1.03 & 1.14830322506779 & -0.118303225067790 \tabularnewline
115 & 1.59 & 1.0312741668333 & 0.558725833166699 \tabularnewline
116 & 1.11 & 1.05758801914697 & 0.0524119808530332 \tabularnewline
117 & 1.33 & 1.10789229366873 & 0.222107706331272 \tabularnewline
118 & 0.93 & 0.90319137517595 & 0.0268086248240504 \tabularnewline
119 & 1.07 & 1.16216476116275 & -0.0921647611627545 \tabularnewline
120 & 1.14 & 1.35064595779376 & -0.210645957793758 \tabularnewline
121 & 1.12 & 1.34040532417100 & -0.220405324171002 \tabularnewline
122 & 0.86 & 1.11006198056912 & -0.250061980569117 \tabularnewline
123 & 0.82 & 1.15464873677918 & -0.334648736779178 \tabularnewline
124 & 1.02 & 0.93709547826295 & 0.0829045217370505 \tabularnewline
125 & 1.07 & 1.18979577460339 & -0.119795774603390 \tabularnewline
126 & 1.31 & 1.02319416151525 & 0.286805838484753 \tabularnewline
127 & 0.98 & 1.07499867226716 & -0.0949986722671556 \tabularnewline
128 & 0.89 & 0.940847153475755 & -0.0508471534757552 \tabularnewline
129 & 0.8 & 0.998248083419452 & -0.198248083419452 \tabularnewline
130 & 0.8 & 0.750204184740329 & 0.0497958152596712 \tabularnewline
131 & 0.78 & 0.948974283473725 & -0.168974283473725 \tabularnewline
132 & 0.97 & 1.07151006727841 & -0.101510067278412 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42861&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]0.978218492913525[/C][C]-0.0182184929135246[/C][/ROW]
[ROW][C]14[/C][C]0.83[/C][C]0.85406704310582[/C][C]-0.0240670431058204[/C][/ROW]
[ROW][C]15[/C][C]0.87[/C][C]0.886464128110635[/C][C]-0.0164641281106354[/C][/ROW]
[ROW][C]16[/C][C]0.79[/C][C]0.80824190251969[/C][C]-0.0182419025196893[/C][/ROW]
[ROW][C]17[/C][C]1.12[/C][C]1.14435940868487[/C][C]-0.0243594086848700[/C][/ROW]
[ROW][C]18[/C][C]0.88[/C][C]0.894502420320822[/C][C]-0.0145024203208223[/C][/ROW]
[ROW][C]19[/C][C]0.64[/C][C]0.964826068801091[/C][C]-0.324826068801091[/C][/ROW]
[ROW][C]20[/C][C]0.64[/C][C]0.581802604429366[/C][C]0.0581973955706335[/C][/ROW]
[ROW][C]21[/C][C]0.58[/C][C]0.530965802431698[/C][C]0.049034197568302[/C][/ROW]
[ROW][C]22[/C][C]0.5[/C][C]0.68703651045602[/C][C]-0.187036510456020[/C][/ROW]
[ROW][C]23[/C][C]0.99[/C][C]0.766031411352103[/C][C]0.223968588647897[/C][/ROW]
[ROW][C]24[/C][C]1.07[/C][C]1.11101242327162[/C][C]-0.0410124232716242[/C][/ROW]
[ROW][C]25[/C][C]0.89[/C][C]0.85513207262983[/C][C]0.0348679273701705[/C][/ROW]
[ROW][C]26[/C][C]0.89[/C][C]0.750082840267355[/C][C]0.139917159732645[/C][/ROW]
[ROW][C]27[/C][C]0.83[/C][C]0.80037838292472[/C][C]0.0296216170752797[/C][/ROW]
[ROW][C]28[/C][C]0.86[/C][C]0.733773092107518[/C][C]0.126226907892482[/C][/ROW]
[ROW][C]29[/C][C]0.9[/C][C]1.06403082131679[/C][C]-0.164030821316790[/C][/ROW]
[ROW][C]30[/C][C]1.12[/C][C]0.818069690540778[/C][C]0.301930309459222[/C][/ROW]
[ROW][C]31[/C][C]0.88[/C][C]0.867042115588673[/C][C]0.0129578844113271[/C][/ROW]
[ROW][C]32[/C][C]0.88[/C][C]0.595898739413786[/C][C]0.284101260586214[/C][/ROW]
[ROW][C]33[/C][C]0.89[/C][C]0.568695481461476[/C][C]0.321304518538524[/C][/ROW]
[ROW][C]34[/C][C]0.82[/C][C]0.726546182004914[/C][C]0.0934538179950863[/C][/ROW]
[ROW][C]35[/C][C]0.88[/C][C]0.947773736420089[/C][C]-0.0677737364200888[/C][/ROW]
[ROW][C]36[/C][C]0.81[/C][C]1.24148598574152[/C][C]-0.431485985741516[/C][/ROW]
[ROW][C]37[/C][C]0.88[/C][C]0.932273251398703[/C][C]-0.0522732513987033[/C][/ROW]
[ROW][C]38[/C][C]0.76[/C][C]0.829555047432056[/C][C]-0.0695550474320562[/C][/ROW]
[ROW][C]39[/C][C]1.13[/C][C]0.833850173341046[/C][C]0.296149826658954[/C][/ROW]
[ROW][C]40[/C][C]0.85[/C][C]0.814658068862088[/C][C]0.0353419311379124[/C][/ROW]
[ROW][C]41[/C][C]1.45[/C][C]1.09514320238410[/C][C]0.354856797615897[/C][/ROW]
[ROW][C]42[/C][C]1.55[/C][C]0.981669671423456[/C][C]0.568330328576544[/C][/ROW]
[ROW][C]43[/C][C]0.71[/C][C]1.00501116557717[/C][C]-0.295011165577174[/C][/ROW]
[ROW][C]44[/C][C]0.81[/C][C]0.718302438518354[/C][C]0.0916975614816462[/C][/ROW]
[ROW][C]45[/C][C]0.83[/C][C]0.666397316628654[/C][C]0.163602683371346[/C][/ROW]
[ROW][C]46[/C][C]0.73[/C][C]0.764166112476198[/C][C]-0.0341661124761977[/C][/ROW]
[ROW][C]47[/C][C]0.9[/C][C]0.940479163017474[/C][C]-0.0404791630174745[/C][/ROW]
[ROW][C]48[/C][C]0.94[/C][C]1.16874646554381[/C][C]-0.228746465543811[/C][/ROW]
[ROW][C]49[/C][C]1.78[/C][C]0.950133689266295[/C][C]0.829866310733705[/C][/ROW]
[ROW][C]50[/C][C]0.88[/C][C]0.94065371922092[/C][C]-0.0606537192209202[/C][/ROW]
[ROW][C]51[/C][C]1.04[/C][C]1.02509946637753[/C][C]0.0149005336224732[/C][/ROW]
[ROW][C]52[/C][C]0.83[/C][C]0.91158886297128[/C][C]-0.0815888629712807[/C][/ROW]
[ROW][C]53[/C][C]1.41[/C][C]1.26572943546606[/C][C]0.144270564533945[/C][/ROW]
[ROW][C]54[/C][C]0.96[/C][C]1.15091707776968[/C][C]-0.190917077769678[/C][/ROW]
[ROW][C]55[/C][C]1.3[/C][C]0.922284563118872[/C][C]0.377715436881128[/C][/ROW]
[ROW][C]56[/C][C]0.83[/C][C]0.780818220571969[/C][C]0.0491817794280308[/C][/ROW]
[ROW][C]57[/C][C]1.4[/C][C]0.733649772186006[/C][C]0.666350227813994[/C][/ROW]
[ROW][C]58[/C][C]0.91[/C][C]0.864099707032759[/C][C]0.0459002929672413[/C][/ROW]
[ROW][C]59[/C][C]0.87[/C][C]1.07809735673952[/C][C]-0.208097356739520[/C][/ROW]
[ROW][C]60[/C][C]0.97[/C][C]1.27699405605982[/C][C]-0.306994056059820[/C][/ROW]
[ROW][C]61[/C][C]1.19[/C][C]1.23016944679741[/C][C]-0.0401694467974052[/C][/ROW]
[ROW][C]62[/C][C]1.23[/C][C]0.94246979950866[/C][C]0.28753020049134[/C][/ROW]
[ROW][C]63[/C][C]1.33[/C][C]1.09161515851543[/C][C]0.238384841484567[/C][/ROW]
[ROW][C]64[/C][C]1.17[/C][C]0.976763268873482[/C][C]0.193236731126518[/C][/ROW]
[ROW][C]65[/C][C]1.09[/C][C]1.46082417848526[/C][C]-0.370824178485256[/C][/ROW]
[ROW][C]66[/C][C]0.63[/C][C]1.20371914882395[/C][C]-0.57371914882395[/C][/ROW]
[ROW][C]67[/C][C]0.89[/C][C]1.02593397149463[/C][C]-0.135933971494629[/C][/ROW]
[ROW][C]68[/C][C]0.63[/C][C]0.766338727156386[/C][C]-0.136338727156386[/C][/ROW]
[ROW][C]69[/C][C]1.51[/C][C]0.794782162618796[/C][C]0.715217837381204[/C][/ROW]
[ROW][C]70[/C][C]0.97[/C][C]0.819846806403314[/C][C]0.150153193596686[/C][/ROW]
[ROW][C]71[/C][C]0.84[/C][C]0.991272649343572[/C][C]-0.151272649343572[/C][/ROW]
[ROW][C]72[/C][C]0.92[/C][C]1.16859261206379[/C][C]-0.248592612063794[/C][/ROW]
[ROW][C]73[/C][C]0.95[/C][C]1.17684925767621[/C][C]-0.226849257676213[/C][/ROW]
[ROW][C]74[/C][C]0.73[/C][C]0.937075327576103[/C][C]-0.207075327576103[/C][/ROW]
[ROW][C]75[/C][C]1.02[/C][C]1.00110389908400[/C][C]0.0188961009159958[/C][/ROW]
[ROW][C]76[/C][C]0.79[/C][C]0.870060874544225[/C][C]-0.0800608745442245[/C][/ROW]
[ROW][C]77[/C][C]1.27[/C][C]1.1512032501674[/C][C]0.118796749832599[/C][/ROW]
[ROW][C]78[/C][C]0.95[/C][C]0.94404946228566[/C][C]0.00595053771433929[/C][/ROW]
[ROW][C]79[/C][C]0.75[/C][C]0.92121887173072[/C][C]-0.171218871730719[/C][/ROW]
[ROW][C]80[/C][C]0.52[/C][C]0.676875031376488[/C][C]-0.156875031376488[/C][/ROW]
[ROW][C]81[/C][C]0.95[/C][C]0.829375991296465[/C][C]0.120624008703535[/C][/ROW]
[ROW][C]82[/C][C]0.82[/C][C]0.70232208069962[/C][C]0.117677919300379[/C][/ROW]
[ROW][C]83[/C][C]0.76[/C][C]0.795489236574378[/C][C]-0.0354892365743783[/C][/ROW]
[ROW][C]84[/C][C]1.24[/C][C]0.93806348248323[/C][C]0.301936517516771[/C][/ROW]
[ROW][C]85[/C][C]0.94[/C][C]1.01298720963013[/C][C]-0.0729872096301276[/C][/ROW]
[ROW][C]86[/C][C]1.04[/C][C]0.813840647487391[/C][C]0.226159352512609[/C][/ROW]
[ROW][C]87[/C][C]1.81[/C][C]0.969286346275972[/C][C]0.840713653724028[/C][/ROW]
[ROW][C]88[/C][C]0.95[/C][C]0.912912913593765[/C][C]0.0370870864062351[/C][/ROW]
[ROW][C]89[/C][C]1.39[/C][C]1.27435712276166[/C][C]0.115642877238337[/C][/ROW]
[ROW][C]90[/C][C]0.86[/C][C]1.02595622787438[/C][C]-0.165956227874384[/C][/ROW]
[ROW][C]91[/C][C]1.15[/C][C]0.944851266760192[/C][C]0.205148733239808[/C][/ROW]
[ROW][C]92[/C][C]1.51[/C][C]0.723978133039435[/C][C]0.786021866960565[/C][/ROW]
[ROW][C]93[/C][C]0.6[/C][C]1.11708490493514[/C][C]-0.517084904935141[/C][/ROW]
[ROW][C]94[/C][C]0.72[/C][C]0.879906555323419[/C][C]-0.159906555323419[/C][/ROW]
[ROW][C]95[/C][C]1.1[/C][C]0.91912426367198[/C][C]0.18087573632802[/C][/ROW]
[ROW][C]96[/C][C]1.62[/C][C]1.19266352255836[/C][C]0.427336477441636[/C][/ROW]
[ROW][C]97[/C][C]1.84[/C][C]1.20848696054761[/C][C]0.631513039452389[/C][/ROW]
[ROW][C]98[/C][C]1.73[/C][C]1.1131085263519[/C][C]0.6168914736481[/C][/ROW]
[ROW][C]99[/C][C]1.36[/C][C]1.4977527443149[/C][C]-0.137752744314901[/C][/ROW]
[ROW][C]100[/C][C]1.07[/C][C]1.10782758001556[/C][C]-0.0378275800155559[/C][/ROW]
[ROW][C]101[/C][C]1[/C][C]1.54786348788537[/C][C]-0.547863487885366[/C][/ROW]
[ROW][C]102[/C][C]1.49[/C][C]1.12369400025756[/C][C]0.366305999742438[/C][/ROW]
[ROW][C]103[/C][C]0.9[/C][C]1.18021747698010[/C][C]-0.280217476980098[/C][/ROW]
[ROW][C]104[/C][C]1.43[/C][C]0.968764969057727[/C][C]0.461235030942273[/C][/ROW]
[ROW][C]105[/C][C]1.54[/C][C]1.07645783541013[/C][C]0.463542164589874[/C][/ROW]
[ROW][C]106[/C][C]0.81[/C][C]1.00897401639684[/C][C]-0.198974016396842[/C][/ROW]
[ROW][C]107[/C][C]1.61[/C][C]1.12966382504202[/C][C]0.480336174957979[/C][/ROW]
[ROW][C]108[/C][C]1.3[/C][C]1.54955081263107[/C][C]-0.249550812631069[/C][/ROW]
[ROW][C]109[/C][C]1.4[/C][C]1.51167154942183[/C][C]-0.111671549421827[/C][/ROW]
[ROW][C]110[/C][C]1.03[/C][C]1.30145390491299[/C][C]-0.271453904912995[/C][/ROW]
[ROW][C]111[/C][C]0.79[/C][C]1.42940411534341[/C][C]-0.639404115343414[/C][/ROW]
[ROW][C]112[/C][C]1.11[/C][C]1.02048155399035[/C][C]0.0895184460096494[/C][/ROW]
[ROW][C]113[/C][C]1.15[/C][C]1.35629070103301[/C][C]-0.206290701033012[/C][/ROW]
[ROW][C]114[/C][C]1.03[/C][C]1.14830322506779[/C][C]-0.118303225067790[/C][/ROW]
[ROW][C]115[/C][C]1.59[/C][C]1.0312741668333[/C][C]0.558725833166699[/C][/ROW]
[ROW][C]116[/C][C]1.11[/C][C]1.05758801914697[/C][C]0.0524119808530332[/C][/ROW]
[ROW][C]117[/C][C]1.33[/C][C]1.10789229366873[/C][C]0.222107706331272[/C][/ROW]
[ROW][C]118[/C][C]0.93[/C][C]0.90319137517595[/C][C]0.0268086248240504[/C][/ROW]
[ROW][C]119[/C][C]1.07[/C][C]1.16216476116275[/C][C]-0.0921647611627545[/C][/ROW]
[ROW][C]120[/C][C]1.14[/C][C]1.35064595779376[/C][C]-0.210645957793758[/C][/ROW]
[ROW][C]121[/C][C]1.12[/C][C]1.34040532417100[/C][C]-0.220405324171002[/C][/ROW]
[ROW][C]122[/C][C]0.86[/C][C]1.11006198056912[/C][C]-0.250061980569117[/C][/ROW]
[ROW][C]123[/C][C]0.82[/C][C]1.15464873677918[/C][C]-0.334648736779178[/C][/ROW]
[ROW][C]124[/C][C]1.02[/C][C]0.93709547826295[/C][C]0.0829045217370505[/C][/ROW]
[ROW][C]125[/C][C]1.07[/C][C]1.18979577460339[/C][C]-0.119795774603390[/C][/ROW]
[ROW][C]126[/C][C]1.31[/C][C]1.02319416151525[/C][C]0.286805838484753[/C][/ROW]
[ROW][C]127[/C][C]0.98[/C][C]1.07499867226716[/C][C]-0.0949986722671556[/C][/ROW]
[ROW][C]128[/C][C]0.89[/C][C]0.940847153475755[/C][C]-0.0508471534757552[/C][/ROW]
[ROW][C]129[/C][C]0.8[/C][C]0.998248083419452[/C][C]-0.198248083419452[/C][/ROW]
[ROW][C]130[/C][C]0.8[/C][C]0.750204184740329[/C][C]0.0497958152596712[/C][/ROW]
[ROW][C]131[/C][C]0.78[/C][C]0.948974283473725[/C][C]-0.168974283473725[/C][/ROW]
[ROW][C]132[/C][C]0.97[/C][C]1.07151006727841[/C][C]-0.101510067278412[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42861&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42861&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
130.960.978218492913525-0.0182184929135246
140.830.85406704310582-0.0240670431058204
150.870.886464128110635-0.0164641281106354
160.790.80824190251969-0.0182419025196893
171.121.14435940868487-0.0243594086848700
180.880.894502420320822-0.0145024203208223
190.640.964826068801091-0.324826068801091
200.640.5818026044293660.0581973955706335
210.580.5309658024316980.049034197568302
220.50.68703651045602-0.187036510456020
230.990.7660314113521030.223968588647897
241.071.11101242327162-0.0410124232716242
250.890.855132072629830.0348679273701705
260.890.7500828402673550.139917159732645
270.830.800378382924720.0296216170752797
280.860.7337730921075180.126226907892482
290.91.06403082131679-0.164030821316790
301.120.8180696905407780.301930309459222
310.880.8670421155886730.0129578844113271
320.880.5958987394137860.284101260586214
330.890.5686954814614760.321304518538524
340.820.7265461820049140.0934538179950863
350.880.947773736420089-0.0677737364200888
360.811.24148598574152-0.431485985741516
370.880.932273251398703-0.0522732513987033
380.760.829555047432056-0.0695550474320562
391.130.8338501733410460.296149826658954
400.850.8146580688620880.0353419311379124
411.451.095143202384100.354856797615897
421.550.9816696714234560.568330328576544
430.711.00501116557717-0.295011165577174
440.810.7183024385183540.0916975614816462
450.830.6663973166286540.163602683371346
460.730.764166112476198-0.0341661124761977
470.90.940479163017474-0.0404791630174745
480.941.16874646554381-0.228746465543811
491.780.9501336892662950.829866310733705
500.880.94065371922092-0.0606537192209202
511.041.025099466377530.0149005336224732
520.830.91158886297128-0.0815888629712807
531.411.265729435466060.144270564533945
540.961.15091707776968-0.190917077769678
551.30.9222845631188720.377715436881128
560.830.7808182205719690.0491817794280308
571.40.7336497721860060.666350227813994
580.910.8640997070327590.0459002929672413
590.871.07809735673952-0.208097356739520
600.971.27699405605982-0.306994056059820
611.191.23016944679741-0.0401694467974052
621.230.942469799508660.28753020049134
631.331.091615158515430.238384841484567
641.170.9767632688734820.193236731126518
651.091.46082417848526-0.370824178485256
660.631.20371914882395-0.57371914882395
670.891.02593397149463-0.135933971494629
680.630.766338727156386-0.136338727156386
691.510.7947821626187960.715217837381204
700.970.8198468064033140.150153193596686
710.840.991272649343572-0.151272649343572
720.921.16859261206379-0.248592612063794
730.951.17684925767621-0.226849257676213
740.730.937075327576103-0.207075327576103
751.021.001103899084000.0188961009159958
760.790.870060874544225-0.0800608745442245
771.271.15120325016740.118796749832599
780.950.944049462285660.00595053771433929
790.750.92121887173072-0.171218871730719
800.520.676875031376488-0.156875031376488
810.950.8293759912964650.120624008703535
820.820.702322080699620.117677919300379
830.760.795489236574378-0.0354892365743783
841.240.938063482483230.301936517516771
850.941.01298720963013-0.0729872096301276
861.040.8138406474873910.226159352512609
871.810.9692863462759720.840713653724028
880.950.9129129135937650.0370870864062351
891.391.274357122761660.115642877238337
900.861.02595622787438-0.165956227874384
911.150.9448512667601920.205148733239808
921.510.7239781330394350.786021866960565
930.61.11708490493514-0.517084904935141
940.720.879906555323419-0.159906555323419
951.10.919124263671980.18087573632802
961.621.192663522558360.427336477441636
971.841.208486960547610.631513039452389
981.731.11310852635190.6168914736481
991.361.4977527443149-0.137752744314901
1001.071.10782758001556-0.0378275800155559
10111.54786348788537-0.547863487885366
1021.491.123694000257560.366305999742438
1030.91.18021747698010-0.280217476980098
1041.430.9687649690577270.461235030942273
1051.541.076457835410130.463542164589874
1060.811.00897401639684-0.198974016396842
1071.611.129663825042020.480336174957979
1081.31.54955081263107-0.249550812631069
1091.41.51167154942183-0.111671549421827
1101.031.30145390491299-0.271453904912995
1110.791.42940411534341-0.639404115343414
1121.111.020481553990350.0895184460096494
1131.151.35629070103301-0.206290701033012
1141.031.14830322506779-0.118303225067790
1151.591.03127416683330.558725833166699
1161.111.057588019146970.0524119808530332
1171.331.107892293668730.222107706331272
1180.930.903191375175950.0268086248240504
1191.071.16216476116275-0.0921647611627545
1201.141.35064595779376-0.210645957793758
1211.121.34040532417100-0.220405324171002
1220.861.11006198056912-0.250061980569117
1230.821.15464873677918-0.334648736779178
1241.020.937095478262950.0829045217370505
1251.071.18979577460339-0.119795774603390
1261.311.023194161515250.286805838484753
1270.981.07499867226716-0.0949986722671556
1280.890.940847153475755-0.0508471534757552
1290.80.998248083419452-0.198248083419452
1300.80.7502041847403290.0497958152596712
1310.780.948974283473725-0.168974283473725
1320.971.07151006727841-0.101510067278412







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331.068538077373890.893068396869481.24400775787830
1340.891420293203190.7061726078496421.07666797855674
1350.9404550272799660.739415550020051.14149450453988
1360.851881522189260.6445904987020691.05917254567645
1371.031852630742110.7944206904143611.26928457106986
1380.9614217344376850.7211135138904971.20172995498487
1390.912775623329290.6677447615151571.15780648514342
1400.812387168404660.5708461195497261.05392821725959
1410.8427645934193520.5851423403238691.10038684651483
1420.6828092573910780.4422949912792380.923323523502918
1430.8169737427820350.5387503364415431.09519714912253
1440.958537267942376-34.470363407197836.3874379430825

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1.06853807737389 & 0.89306839686948 & 1.24400775787830 \tabularnewline
134 & 0.89142029320319 & 0.706172607849642 & 1.07666797855674 \tabularnewline
135 & 0.940455027279966 & 0.73941555002005 & 1.14149450453988 \tabularnewline
136 & 0.85188152218926 & 0.644590498702069 & 1.05917254567645 \tabularnewline
137 & 1.03185263074211 & 0.794420690414361 & 1.26928457106986 \tabularnewline
138 & 0.961421734437685 & 0.721113513890497 & 1.20172995498487 \tabularnewline
139 & 0.91277562332929 & 0.667744761515157 & 1.15780648514342 \tabularnewline
140 & 0.81238716840466 & 0.570846119549726 & 1.05392821725959 \tabularnewline
141 & 0.842764593419352 & 0.585142340323869 & 1.10038684651483 \tabularnewline
142 & 0.682809257391078 & 0.442294991279238 & 0.923323523502918 \tabularnewline
143 & 0.816973742782035 & 0.538750336441543 & 1.09519714912253 \tabularnewline
144 & 0.958537267942376 & -34.4703634071978 & 36.3874379430825 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42861&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]1.06853807737389[/C][C]0.89306839686948[/C][C]1.24400775787830[/C][/ROW]
[ROW][C]134[/C][C]0.89142029320319[/C][C]0.706172607849642[/C][C]1.07666797855674[/C][/ROW]
[ROW][C]135[/C][C]0.940455027279966[/C][C]0.73941555002005[/C][C]1.14149450453988[/C][/ROW]
[ROW][C]136[/C][C]0.85188152218926[/C][C]0.644590498702069[/C][C]1.05917254567645[/C][/ROW]
[ROW][C]137[/C][C]1.03185263074211[/C][C]0.794420690414361[/C][C]1.26928457106986[/C][/ROW]
[ROW][C]138[/C][C]0.961421734437685[/C][C]0.721113513890497[/C][C]1.20172995498487[/C][/ROW]
[ROW][C]139[/C][C]0.91277562332929[/C][C]0.667744761515157[/C][C]1.15780648514342[/C][/ROW]
[ROW][C]140[/C][C]0.81238716840466[/C][C]0.570846119549726[/C][C]1.05392821725959[/C][/ROW]
[ROW][C]141[/C][C]0.842764593419352[/C][C]0.585142340323869[/C][C]1.10038684651483[/C][/ROW]
[ROW][C]142[/C][C]0.682809257391078[/C][C]0.442294991279238[/C][C]0.923323523502918[/C][/ROW]
[ROW][C]143[/C][C]0.816973742782035[/C][C]0.538750336441543[/C][C]1.09519714912253[/C][/ROW]
[ROW][C]144[/C][C]0.958537267942376[/C][C]-34.4703634071978[/C][C]36.3874379430825[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42861&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42861&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
1331.068538077373890.893068396869481.24400775787830
1340.891420293203190.7061726078496421.07666797855674
1350.9404550272799660.739415550020051.14149450453988
1360.851881522189260.6445904987020691.05917254567645
1371.031852630742110.7944206904143611.26928457106986
1380.9614217344376850.7211135138904971.20172995498487
1390.912775623329290.6677447615151571.15780648514342
1400.812387168404660.5708461195497261.05392821725959
1410.8427645934193520.5851423403238691.10038684651483
1420.6828092573910780.4422949912792380.923323523502918
1430.8169737427820350.5387503364415431.09519714912253
1440.958537267942376-34.470363407197836.3874379430825



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
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')