Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 02 Jun 2009 12:55:35 -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/Jun/02/t1243968976omuucx36j8ovaql.htm/, Retrieved Fri, 10 May 2024 03:14:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41375, Retrieved Fri, 10 May 2024 03:14:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 Oefenin...] [2009-06-02 18:55:35] [69a8397eb9368d6355c6053ed100f2c7] [Current]
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Dataseries X:
1.1608
1.1208
1.0883
1.0704
1.0628
1.0378
1.0353
1.0604
1.0501
1.0706
1.0338
1.0110
1.0137
0.9834
0.9643
0.9470
0.9060
0.9492
0.9397
0.9041
0.8721
0.8552
0.8564
0.8973
0.9383
0.9217
0.9095
0.8920
0.8742
0.8532
0.8607
0.9005
0.9111
0.9059
0.8883
0.8924
0.8833
0.8700
0.8758
0.8858
0.9170
0.9554
0.9922
0.9778
0.9808
0.9811
1.0014
1.0183
1.0622
1.0773
1.0807
1.0848
1.1582
1.1663
1.1372
1.1139
1.1222
1.1692
1.1702
1.2286
1.2613
1.2646
1.2262
1.1985
1.2007
1.2138
1.2266
1.2176
1.2218
1.2490
1.2991
1.3408
1.3119
1.3014
1.3201
1.2938
1.2694
1.2165
1.2037
1.2292
1.2256
1.2015
1.1786
1.1856
1.2103
1.1938
1.2020
1.2271
1.2770
1.2650
1.2684
1.2811
1.2727
1.2611
1.2881
1.3213
1.2999
1.3074
1.3242
1.3516
1.3511
1.3419
1.3716
1.3622
1.3896
1.4227
1.4684
1.4570
1.4718
1.4748
1.5527
1.5750
1.5557
1.5553
1.5770
1.4975
1.4369
1.3322
1.2732
1.3449
1.3239




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=41375&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=41375&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41375&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
alpha0.859998440553193
beta0.0713194296639774
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.859998440553193 \tabularnewline
beta & 0.0713194296639774 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41375&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]0.859998440553193[/C][/ROW]
[ROW][C]beta[/C][C]0.0713194296639774[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41375&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41375&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
alpha0.859998440553193
beta0.0713194296639774
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131.01371.07518811431624-0.0614881143162398
140.98340.987017021911577-0.00361702191157653
150.96430.9630264634754070.0012735365245935
160.9470.947582389518923-0.00058238951892331
170.9060.90678150143204-0.000781501432040699
180.94920.9457239443339830.00347605566601727
190.93970.8873702488454040.0523297511545964
200.90410.957036112891393-0.0529361128913926
210.87210.896564182795004-0.0244641827950045
220.85520.889294234023439-0.0340942340234387
230.85640.8157179667317320.0406820332682678
240.89730.82149438886950.0758056111305005
250.93830.87646810801070.0618318919893
260.92170.9097481931471410.0119518068528588
270.90950.9080805180811880.00141948191881203
280.8920.900760105001888-0.0087601050018884
290.87420.8606549220859920.0135450779140076
300.85320.921149384218215-0.0679493842182153
310.86070.8124637834044260.0482362165955741
320.90050.8678750217304930.0326249782695065
330.91110.8942226591143980.0168773408856017
340.90590.932944847692385-0.0270448476923846
350.88830.8881189206051850.000181079394815264
360.89240.8737169164311450.0186830835688550
370.88330.883840396382622-0.000540396382622488
380.870.8589029297339690.0110970702660314
390.87580.8573790243486280.0184209756513719
400.88580.8666508748391710.0191491251608291
410.9170.8587783116690860.0582216883309142
420.95540.95413342419410.00126657580590062
430.99220.9333331263549610.058866873645039
440.97781.00844666252811-0.0306466625281139
450.98080.9870409001049-0.00624090010490086
460.98111.00717912096454-0.02607912096454
471.00140.9745014804448450.0268985195551548
481.01830.9948115368791220.0234884631208777
491.06221.015815848902460.0463841510975367
501.07731.045180311981030.0321196880189711
511.08071.076368225661470.00433177433852650
521.08481.08636821396511-0.00156821396510587
531.15821.077621188460670.0805788115393287
541.16631.19707304991013-0.0307730499101331
551.13721.16766118027058-0.0304611802705801
561.11391.15882011924888-0.0449201192488764
571.12221.1330800188951-0.0108800188951006
581.16921.150690652277060.0185093477229406
591.17021.17075022270366-0.000550222703664005
601.22861.172267677921380.0563323220786183
611.26131.232028241886780.0292717581132225
621.26461.250934597294830.0136654027051726
631.22621.26748518764415-0.041285187644154
641.19851.23975443868747-0.0412544386874714
651.20071.20826968130461-0.00756968130460822
661.21381.23080963754201-0.0170096375420106
671.22661.208607212101410.0179927878985868
681.21761.23771338760201-0.0201133876020145
691.22181.23789538929663-0.0160953892966329
701.2491.25463817115914-0.00563817115914067
711.29911.249284266786520.0498157332134752
721.34081.303190909563260.037609090436737
731.31191.34302351950686-0.0311235195068611
741.30141.30406331330588-0.00266331330588421
751.32011.294134746826300.0259652531736971
761.29381.32362503759217-0.0298250375921731
771.26941.30676794420661-0.0373679442066110
781.21651.30061464605355-0.0841146460535516
791.20371.21974136717618-0.0160413671761772
801.22921.206294782252930.0229052177470728
811.22561.23872525622995-0.0131252562299464
821.20151.25435855940209-0.0528585594020885
831.17861.20813476898104-0.0295347689810443
841.18561.179200164525890.00639983547410972
851.21031.167764994114580.0425350058854206
861.19381.185848097021190.00795190297881443
871.2021.179420342857510.022579657142487
881.22711.188344343347500.0387556566525016
891.2771.223772935448240.0532270645517645
901.2651.28890561493379-0.0239056149337915
911.26841.27295429340549-0.00455429340548652
921.28111.279155630970580.00194436902942252
931.27271.29154633429204-0.0188463342920409
941.26111.29937674392037-0.0382767439203742
951.28811.272532977974090.0155670220259145
961.32131.293757363215460.0275426367845437
971.29991.31320135349621-0.0133013534962094
981.30741.282636289725950.0247637102740519
991.32421.297958421115130.0262415788848662
1001.35161.317764785351010.0338352146489931
1011.35111.35615448294248-0.00505448294247746
1021.34191.36195841002156-0.0200584100215606
1031.37161.353852843641310.0177471563586877
1041.36221.38333901629522-0.0211390162952225
1051.38961.374747303376040.0148526966239597
1061.42271.412685445943940.0100145540560628
1071.46841.441719166063340.0266808339366584
1081.4571.48166851206183-0.0246685120618342
1091.47181.454780918684750.0170190813152504
1101.47481.461768386809600.0130316131904047
1111.55271.472636090402930.0800639095970745
1121.5751.548522120490790.0264778795092062
1131.55571.58341806835461-0.0277180683546092
1141.55531.57451887755431-0.0192188775543141
1151.5771.57936774184362-0.00236774184362409
1161.49751.59181686520620-0.0943168652061963
1171.43691.52654873491655-0.0896487349165489
1181.33221.46874643113537-0.13654643113537
1191.27321.35988994788131-0.0866899478813117
1201.34491.274016768598470.0708832314015333
1211.32391.319865640278610.00403435972139055

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 1.0137 & 1.07518811431624 & -0.0614881143162398 \tabularnewline
14 & 0.9834 & 0.987017021911577 & -0.00361702191157653 \tabularnewline
15 & 0.9643 & 0.963026463475407 & 0.0012735365245935 \tabularnewline
16 & 0.947 & 0.947582389518923 & -0.00058238951892331 \tabularnewline
17 & 0.906 & 0.90678150143204 & -0.000781501432040699 \tabularnewline
18 & 0.9492 & 0.945723944333983 & 0.00347605566601727 \tabularnewline
19 & 0.9397 & 0.887370248845404 & 0.0523297511545964 \tabularnewline
20 & 0.9041 & 0.957036112891393 & -0.0529361128913926 \tabularnewline
21 & 0.8721 & 0.896564182795004 & -0.0244641827950045 \tabularnewline
22 & 0.8552 & 0.889294234023439 & -0.0340942340234387 \tabularnewline
23 & 0.8564 & 0.815717966731732 & 0.0406820332682678 \tabularnewline
24 & 0.8973 & 0.8214943888695 & 0.0758056111305005 \tabularnewline
25 & 0.9383 & 0.8764681080107 & 0.0618318919893 \tabularnewline
26 & 0.9217 & 0.909748193147141 & 0.0119518068528588 \tabularnewline
27 & 0.9095 & 0.908080518081188 & 0.00141948191881203 \tabularnewline
28 & 0.892 & 0.900760105001888 & -0.0087601050018884 \tabularnewline
29 & 0.8742 & 0.860654922085992 & 0.0135450779140076 \tabularnewline
30 & 0.8532 & 0.921149384218215 & -0.0679493842182153 \tabularnewline
31 & 0.8607 & 0.812463783404426 & 0.0482362165955741 \tabularnewline
32 & 0.9005 & 0.867875021730493 & 0.0326249782695065 \tabularnewline
33 & 0.9111 & 0.894222659114398 & 0.0168773408856017 \tabularnewline
34 & 0.9059 & 0.932944847692385 & -0.0270448476923846 \tabularnewline
35 & 0.8883 & 0.888118920605185 & 0.000181079394815264 \tabularnewline
36 & 0.8924 & 0.873716916431145 & 0.0186830835688550 \tabularnewline
37 & 0.8833 & 0.883840396382622 & -0.000540396382622488 \tabularnewline
38 & 0.87 & 0.858902929733969 & 0.0110970702660314 \tabularnewline
39 & 0.8758 & 0.857379024348628 & 0.0184209756513719 \tabularnewline
40 & 0.8858 & 0.866650874839171 & 0.0191491251608291 \tabularnewline
41 & 0.917 & 0.858778311669086 & 0.0582216883309142 \tabularnewline
42 & 0.9554 & 0.9541334241941 & 0.00126657580590062 \tabularnewline
43 & 0.9922 & 0.933333126354961 & 0.058866873645039 \tabularnewline
44 & 0.9778 & 1.00844666252811 & -0.0306466625281139 \tabularnewline
45 & 0.9808 & 0.9870409001049 & -0.00624090010490086 \tabularnewline
46 & 0.9811 & 1.00717912096454 & -0.02607912096454 \tabularnewline
47 & 1.0014 & 0.974501480444845 & 0.0268985195551548 \tabularnewline
48 & 1.0183 & 0.994811536879122 & 0.0234884631208777 \tabularnewline
49 & 1.0622 & 1.01581584890246 & 0.0463841510975367 \tabularnewline
50 & 1.0773 & 1.04518031198103 & 0.0321196880189711 \tabularnewline
51 & 1.0807 & 1.07636822566147 & 0.00433177433852650 \tabularnewline
52 & 1.0848 & 1.08636821396511 & -0.00156821396510587 \tabularnewline
53 & 1.1582 & 1.07762118846067 & 0.0805788115393287 \tabularnewline
54 & 1.1663 & 1.19707304991013 & -0.0307730499101331 \tabularnewline
55 & 1.1372 & 1.16766118027058 & -0.0304611802705801 \tabularnewline
56 & 1.1139 & 1.15882011924888 & -0.0449201192488764 \tabularnewline
57 & 1.1222 & 1.1330800188951 & -0.0108800188951006 \tabularnewline
58 & 1.1692 & 1.15069065227706 & 0.0185093477229406 \tabularnewline
59 & 1.1702 & 1.17075022270366 & -0.000550222703664005 \tabularnewline
60 & 1.2286 & 1.17226767792138 & 0.0563323220786183 \tabularnewline
61 & 1.2613 & 1.23202824188678 & 0.0292717581132225 \tabularnewline
62 & 1.2646 & 1.25093459729483 & 0.0136654027051726 \tabularnewline
63 & 1.2262 & 1.26748518764415 & -0.041285187644154 \tabularnewline
64 & 1.1985 & 1.23975443868747 & -0.0412544386874714 \tabularnewline
65 & 1.2007 & 1.20826968130461 & -0.00756968130460822 \tabularnewline
66 & 1.2138 & 1.23080963754201 & -0.0170096375420106 \tabularnewline
67 & 1.2266 & 1.20860721210141 & 0.0179927878985868 \tabularnewline
68 & 1.2176 & 1.23771338760201 & -0.0201133876020145 \tabularnewline
69 & 1.2218 & 1.23789538929663 & -0.0160953892966329 \tabularnewline
70 & 1.249 & 1.25463817115914 & -0.00563817115914067 \tabularnewline
71 & 1.2991 & 1.24928426678652 & 0.0498157332134752 \tabularnewline
72 & 1.3408 & 1.30319090956326 & 0.037609090436737 \tabularnewline
73 & 1.3119 & 1.34302351950686 & -0.0311235195068611 \tabularnewline
74 & 1.3014 & 1.30406331330588 & -0.00266331330588421 \tabularnewline
75 & 1.3201 & 1.29413474682630 & 0.0259652531736971 \tabularnewline
76 & 1.2938 & 1.32362503759217 & -0.0298250375921731 \tabularnewline
77 & 1.2694 & 1.30676794420661 & -0.0373679442066110 \tabularnewline
78 & 1.2165 & 1.30061464605355 & -0.0841146460535516 \tabularnewline
79 & 1.2037 & 1.21974136717618 & -0.0160413671761772 \tabularnewline
80 & 1.2292 & 1.20629478225293 & 0.0229052177470728 \tabularnewline
81 & 1.2256 & 1.23872525622995 & -0.0131252562299464 \tabularnewline
82 & 1.2015 & 1.25435855940209 & -0.0528585594020885 \tabularnewline
83 & 1.1786 & 1.20813476898104 & -0.0295347689810443 \tabularnewline
84 & 1.1856 & 1.17920016452589 & 0.00639983547410972 \tabularnewline
85 & 1.2103 & 1.16776499411458 & 0.0425350058854206 \tabularnewline
86 & 1.1938 & 1.18584809702119 & 0.00795190297881443 \tabularnewline
87 & 1.202 & 1.17942034285751 & 0.022579657142487 \tabularnewline
88 & 1.2271 & 1.18834434334750 & 0.0387556566525016 \tabularnewline
89 & 1.277 & 1.22377293544824 & 0.0532270645517645 \tabularnewline
90 & 1.265 & 1.28890561493379 & -0.0239056149337915 \tabularnewline
91 & 1.2684 & 1.27295429340549 & -0.00455429340548652 \tabularnewline
92 & 1.2811 & 1.27915563097058 & 0.00194436902942252 \tabularnewline
93 & 1.2727 & 1.29154633429204 & -0.0188463342920409 \tabularnewline
94 & 1.2611 & 1.29937674392037 & -0.0382767439203742 \tabularnewline
95 & 1.2881 & 1.27253297797409 & 0.0155670220259145 \tabularnewline
96 & 1.3213 & 1.29375736321546 & 0.0275426367845437 \tabularnewline
97 & 1.2999 & 1.31320135349621 & -0.0133013534962094 \tabularnewline
98 & 1.3074 & 1.28263628972595 & 0.0247637102740519 \tabularnewline
99 & 1.3242 & 1.29795842111513 & 0.0262415788848662 \tabularnewline
100 & 1.3516 & 1.31776478535101 & 0.0338352146489931 \tabularnewline
101 & 1.3511 & 1.35615448294248 & -0.00505448294247746 \tabularnewline
102 & 1.3419 & 1.36195841002156 & -0.0200584100215606 \tabularnewline
103 & 1.3716 & 1.35385284364131 & 0.0177471563586877 \tabularnewline
104 & 1.3622 & 1.38333901629522 & -0.0211390162952225 \tabularnewline
105 & 1.3896 & 1.37474730337604 & 0.0148526966239597 \tabularnewline
106 & 1.4227 & 1.41268544594394 & 0.0100145540560628 \tabularnewline
107 & 1.4684 & 1.44171916606334 & 0.0266808339366584 \tabularnewline
108 & 1.457 & 1.48166851206183 & -0.0246685120618342 \tabularnewline
109 & 1.4718 & 1.45478091868475 & 0.0170190813152504 \tabularnewline
110 & 1.4748 & 1.46176838680960 & 0.0130316131904047 \tabularnewline
111 & 1.5527 & 1.47263609040293 & 0.0800639095970745 \tabularnewline
112 & 1.575 & 1.54852212049079 & 0.0264778795092062 \tabularnewline
113 & 1.5557 & 1.58341806835461 & -0.0277180683546092 \tabularnewline
114 & 1.5553 & 1.57451887755431 & -0.0192188775543141 \tabularnewline
115 & 1.577 & 1.57936774184362 & -0.00236774184362409 \tabularnewline
116 & 1.4975 & 1.59181686520620 & -0.0943168652061963 \tabularnewline
117 & 1.4369 & 1.52654873491655 & -0.0896487349165489 \tabularnewline
118 & 1.3322 & 1.46874643113537 & -0.13654643113537 \tabularnewline
119 & 1.2732 & 1.35988994788131 & -0.0866899478813117 \tabularnewline
120 & 1.3449 & 1.27401676859847 & 0.0708832314015333 \tabularnewline
121 & 1.3239 & 1.31986564027861 & 0.00403435972139055 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41375&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]1.0137[/C][C]1.07518811431624[/C][C]-0.0614881143162398[/C][/ROW]
[ROW][C]14[/C][C]0.9834[/C][C]0.987017021911577[/C][C]-0.00361702191157653[/C][/ROW]
[ROW][C]15[/C][C]0.9643[/C][C]0.963026463475407[/C][C]0.0012735365245935[/C][/ROW]
[ROW][C]16[/C][C]0.947[/C][C]0.947582389518923[/C][C]-0.00058238951892331[/C][/ROW]
[ROW][C]17[/C][C]0.906[/C][C]0.90678150143204[/C][C]-0.000781501432040699[/C][/ROW]
[ROW][C]18[/C][C]0.9492[/C][C]0.945723944333983[/C][C]0.00347605566601727[/C][/ROW]
[ROW][C]19[/C][C]0.9397[/C][C]0.887370248845404[/C][C]0.0523297511545964[/C][/ROW]
[ROW][C]20[/C][C]0.9041[/C][C]0.957036112891393[/C][C]-0.0529361128913926[/C][/ROW]
[ROW][C]21[/C][C]0.8721[/C][C]0.896564182795004[/C][C]-0.0244641827950045[/C][/ROW]
[ROW][C]22[/C][C]0.8552[/C][C]0.889294234023439[/C][C]-0.0340942340234387[/C][/ROW]
[ROW][C]23[/C][C]0.8564[/C][C]0.815717966731732[/C][C]0.0406820332682678[/C][/ROW]
[ROW][C]24[/C][C]0.8973[/C][C]0.8214943888695[/C][C]0.0758056111305005[/C][/ROW]
[ROW][C]25[/C][C]0.9383[/C][C]0.8764681080107[/C][C]0.0618318919893[/C][/ROW]
[ROW][C]26[/C][C]0.9217[/C][C]0.909748193147141[/C][C]0.0119518068528588[/C][/ROW]
[ROW][C]27[/C][C]0.9095[/C][C]0.908080518081188[/C][C]0.00141948191881203[/C][/ROW]
[ROW][C]28[/C][C]0.892[/C][C]0.900760105001888[/C][C]-0.0087601050018884[/C][/ROW]
[ROW][C]29[/C][C]0.8742[/C][C]0.860654922085992[/C][C]0.0135450779140076[/C][/ROW]
[ROW][C]30[/C][C]0.8532[/C][C]0.921149384218215[/C][C]-0.0679493842182153[/C][/ROW]
[ROW][C]31[/C][C]0.8607[/C][C]0.812463783404426[/C][C]0.0482362165955741[/C][/ROW]
[ROW][C]32[/C][C]0.9005[/C][C]0.867875021730493[/C][C]0.0326249782695065[/C][/ROW]
[ROW][C]33[/C][C]0.9111[/C][C]0.894222659114398[/C][C]0.0168773408856017[/C][/ROW]
[ROW][C]34[/C][C]0.9059[/C][C]0.932944847692385[/C][C]-0.0270448476923846[/C][/ROW]
[ROW][C]35[/C][C]0.8883[/C][C]0.888118920605185[/C][C]0.000181079394815264[/C][/ROW]
[ROW][C]36[/C][C]0.8924[/C][C]0.873716916431145[/C][C]0.0186830835688550[/C][/ROW]
[ROW][C]37[/C][C]0.8833[/C][C]0.883840396382622[/C][C]-0.000540396382622488[/C][/ROW]
[ROW][C]38[/C][C]0.87[/C][C]0.858902929733969[/C][C]0.0110970702660314[/C][/ROW]
[ROW][C]39[/C][C]0.8758[/C][C]0.857379024348628[/C][C]0.0184209756513719[/C][/ROW]
[ROW][C]40[/C][C]0.8858[/C][C]0.866650874839171[/C][C]0.0191491251608291[/C][/ROW]
[ROW][C]41[/C][C]0.917[/C][C]0.858778311669086[/C][C]0.0582216883309142[/C][/ROW]
[ROW][C]42[/C][C]0.9554[/C][C]0.9541334241941[/C][C]0.00126657580590062[/C][/ROW]
[ROW][C]43[/C][C]0.9922[/C][C]0.933333126354961[/C][C]0.058866873645039[/C][/ROW]
[ROW][C]44[/C][C]0.9778[/C][C]1.00844666252811[/C][C]-0.0306466625281139[/C][/ROW]
[ROW][C]45[/C][C]0.9808[/C][C]0.9870409001049[/C][C]-0.00624090010490086[/C][/ROW]
[ROW][C]46[/C][C]0.9811[/C][C]1.00717912096454[/C][C]-0.02607912096454[/C][/ROW]
[ROW][C]47[/C][C]1.0014[/C][C]0.974501480444845[/C][C]0.0268985195551548[/C][/ROW]
[ROW][C]48[/C][C]1.0183[/C][C]0.994811536879122[/C][C]0.0234884631208777[/C][/ROW]
[ROW][C]49[/C][C]1.0622[/C][C]1.01581584890246[/C][C]0.0463841510975367[/C][/ROW]
[ROW][C]50[/C][C]1.0773[/C][C]1.04518031198103[/C][C]0.0321196880189711[/C][/ROW]
[ROW][C]51[/C][C]1.0807[/C][C]1.07636822566147[/C][C]0.00433177433852650[/C][/ROW]
[ROW][C]52[/C][C]1.0848[/C][C]1.08636821396511[/C][C]-0.00156821396510587[/C][/ROW]
[ROW][C]53[/C][C]1.1582[/C][C]1.07762118846067[/C][C]0.0805788115393287[/C][/ROW]
[ROW][C]54[/C][C]1.1663[/C][C]1.19707304991013[/C][C]-0.0307730499101331[/C][/ROW]
[ROW][C]55[/C][C]1.1372[/C][C]1.16766118027058[/C][C]-0.0304611802705801[/C][/ROW]
[ROW][C]56[/C][C]1.1139[/C][C]1.15882011924888[/C][C]-0.0449201192488764[/C][/ROW]
[ROW][C]57[/C][C]1.1222[/C][C]1.1330800188951[/C][C]-0.0108800188951006[/C][/ROW]
[ROW][C]58[/C][C]1.1692[/C][C]1.15069065227706[/C][C]0.0185093477229406[/C][/ROW]
[ROW][C]59[/C][C]1.1702[/C][C]1.17075022270366[/C][C]-0.000550222703664005[/C][/ROW]
[ROW][C]60[/C][C]1.2286[/C][C]1.17226767792138[/C][C]0.0563323220786183[/C][/ROW]
[ROW][C]61[/C][C]1.2613[/C][C]1.23202824188678[/C][C]0.0292717581132225[/C][/ROW]
[ROW][C]62[/C][C]1.2646[/C][C]1.25093459729483[/C][C]0.0136654027051726[/C][/ROW]
[ROW][C]63[/C][C]1.2262[/C][C]1.26748518764415[/C][C]-0.041285187644154[/C][/ROW]
[ROW][C]64[/C][C]1.1985[/C][C]1.23975443868747[/C][C]-0.0412544386874714[/C][/ROW]
[ROW][C]65[/C][C]1.2007[/C][C]1.20826968130461[/C][C]-0.00756968130460822[/C][/ROW]
[ROW][C]66[/C][C]1.2138[/C][C]1.23080963754201[/C][C]-0.0170096375420106[/C][/ROW]
[ROW][C]67[/C][C]1.2266[/C][C]1.20860721210141[/C][C]0.0179927878985868[/C][/ROW]
[ROW][C]68[/C][C]1.2176[/C][C]1.23771338760201[/C][C]-0.0201133876020145[/C][/ROW]
[ROW][C]69[/C][C]1.2218[/C][C]1.23789538929663[/C][C]-0.0160953892966329[/C][/ROW]
[ROW][C]70[/C][C]1.249[/C][C]1.25463817115914[/C][C]-0.00563817115914067[/C][/ROW]
[ROW][C]71[/C][C]1.2991[/C][C]1.24928426678652[/C][C]0.0498157332134752[/C][/ROW]
[ROW][C]72[/C][C]1.3408[/C][C]1.30319090956326[/C][C]0.037609090436737[/C][/ROW]
[ROW][C]73[/C][C]1.3119[/C][C]1.34302351950686[/C][C]-0.0311235195068611[/C][/ROW]
[ROW][C]74[/C][C]1.3014[/C][C]1.30406331330588[/C][C]-0.00266331330588421[/C][/ROW]
[ROW][C]75[/C][C]1.3201[/C][C]1.29413474682630[/C][C]0.0259652531736971[/C][/ROW]
[ROW][C]76[/C][C]1.2938[/C][C]1.32362503759217[/C][C]-0.0298250375921731[/C][/ROW]
[ROW][C]77[/C][C]1.2694[/C][C]1.30676794420661[/C][C]-0.0373679442066110[/C][/ROW]
[ROW][C]78[/C][C]1.2165[/C][C]1.30061464605355[/C][C]-0.0841146460535516[/C][/ROW]
[ROW][C]79[/C][C]1.2037[/C][C]1.21974136717618[/C][C]-0.0160413671761772[/C][/ROW]
[ROW][C]80[/C][C]1.2292[/C][C]1.20629478225293[/C][C]0.0229052177470728[/C][/ROW]
[ROW][C]81[/C][C]1.2256[/C][C]1.23872525622995[/C][C]-0.0131252562299464[/C][/ROW]
[ROW][C]82[/C][C]1.2015[/C][C]1.25435855940209[/C][C]-0.0528585594020885[/C][/ROW]
[ROW][C]83[/C][C]1.1786[/C][C]1.20813476898104[/C][C]-0.0295347689810443[/C][/ROW]
[ROW][C]84[/C][C]1.1856[/C][C]1.17920016452589[/C][C]0.00639983547410972[/C][/ROW]
[ROW][C]85[/C][C]1.2103[/C][C]1.16776499411458[/C][C]0.0425350058854206[/C][/ROW]
[ROW][C]86[/C][C]1.1938[/C][C]1.18584809702119[/C][C]0.00795190297881443[/C][/ROW]
[ROW][C]87[/C][C]1.202[/C][C]1.17942034285751[/C][C]0.022579657142487[/C][/ROW]
[ROW][C]88[/C][C]1.2271[/C][C]1.18834434334750[/C][C]0.0387556566525016[/C][/ROW]
[ROW][C]89[/C][C]1.277[/C][C]1.22377293544824[/C][C]0.0532270645517645[/C][/ROW]
[ROW][C]90[/C][C]1.265[/C][C]1.28890561493379[/C][C]-0.0239056149337915[/C][/ROW]
[ROW][C]91[/C][C]1.2684[/C][C]1.27295429340549[/C][C]-0.00455429340548652[/C][/ROW]
[ROW][C]92[/C][C]1.2811[/C][C]1.27915563097058[/C][C]0.00194436902942252[/C][/ROW]
[ROW][C]93[/C][C]1.2727[/C][C]1.29154633429204[/C][C]-0.0188463342920409[/C][/ROW]
[ROW][C]94[/C][C]1.2611[/C][C]1.29937674392037[/C][C]-0.0382767439203742[/C][/ROW]
[ROW][C]95[/C][C]1.2881[/C][C]1.27253297797409[/C][C]0.0155670220259145[/C][/ROW]
[ROW][C]96[/C][C]1.3213[/C][C]1.29375736321546[/C][C]0.0275426367845437[/C][/ROW]
[ROW][C]97[/C][C]1.2999[/C][C]1.31320135349621[/C][C]-0.0133013534962094[/C][/ROW]
[ROW][C]98[/C][C]1.3074[/C][C]1.28263628972595[/C][C]0.0247637102740519[/C][/ROW]
[ROW][C]99[/C][C]1.3242[/C][C]1.29795842111513[/C][C]0.0262415788848662[/C][/ROW]
[ROW][C]100[/C][C]1.3516[/C][C]1.31776478535101[/C][C]0.0338352146489931[/C][/ROW]
[ROW][C]101[/C][C]1.3511[/C][C]1.35615448294248[/C][C]-0.00505448294247746[/C][/ROW]
[ROW][C]102[/C][C]1.3419[/C][C]1.36195841002156[/C][C]-0.0200584100215606[/C][/ROW]
[ROW][C]103[/C][C]1.3716[/C][C]1.35385284364131[/C][C]0.0177471563586877[/C][/ROW]
[ROW][C]104[/C][C]1.3622[/C][C]1.38333901629522[/C][C]-0.0211390162952225[/C][/ROW]
[ROW][C]105[/C][C]1.3896[/C][C]1.37474730337604[/C][C]0.0148526966239597[/C][/ROW]
[ROW][C]106[/C][C]1.4227[/C][C]1.41268544594394[/C][C]0.0100145540560628[/C][/ROW]
[ROW][C]107[/C][C]1.4684[/C][C]1.44171916606334[/C][C]0.0266808339366584[/C][/ROW]
[ROW][C]108[/C][C]1.457[/C][C]1.48166851206183[/C][C]-0.0246685120618342[/C][/ROW]
[ROW][C]109[/C][C]1.4718[/C][C]1.45478091868475[/C][C]0.0170190813152504[/C][/ROW]
[ROW][C]110[/C][C]1.4748[/C][C]1.46176838680960[/C][C]0.0130316131904047[/C][/ROW]
[ROW][C]111[/C][C]1.5527[/C][C]1.47263609040293[/C][C]0.0800639095970745[/C][/ROW]
[ROW][C]112[/C][C]1.575[/C][C]1.54852212049079[/C][C]0.0264778795092062[/C][/ROW]
[ROW][C]113[/C][C]1.5557[/C][C]1.58341806835461[/C][C]-0.0277180683546092[/C][/ROW]
[ROW][C]114[/C][C]1.5553[/C][C]1.57451887755431[/C][C]-0.0192188775543141[/C][/ROW]
[ROW][C]115[/C][C]1.577[/C][C]1.57936774184362[/C][C]-0.00236774184362409[/C][/ROW]
[ROW][C]116[/C][C]1.4975[/C][C]1.59181686520620[/C][C]-0.0943168652061963[/C][/ROW]
[ROW][C]117[/C][C]1.4369[/C][C]1.52654873491655[/C][C]-0.0896487349165489[/C][/ROW]
[ROW][C]118[/C][C]1.3322[/C][C]1.46874643113537[/C][C]-0.13654643113537[/C][/ROW]
[ROW][C]119[/C][C]1.2732[/C][C]1.35988994788131[/C][C]-0.0866899478813117[/C][/ROW]
[ROW][C]120[/C][C]1.3449[/C][C]1.27401676859847[/C][C]0.0708832314015333[/C][/ROW]
[ROW][C]121[/C][C]1.3239[/C][C]1.31986564027861[/C][C]0.00403435972139055[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41375&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41375&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
131.01371.07518811431624-0.0614881143162398
140.98340.987017021911577-0.00361702191157653
150.96430.9630264634754070.0012735365245935
160.9470.947582389518923-0.00058238951892331
170.9060.90678150143204-0.000781501432040699
180.94920.9457239443339830.00347605566601727
190.93970.8873702488454040.0523297511545964
200.90410.957036112891393-0.0529361128913926
210.87210.896564182795004-0.0244641827950045
220.85520.889294234023439-0.0340942340234387
230.85640.8157179667317320.0406820332682678
240.89730.82149438886950.0758056111305005
250.93830.87646810801070.0618318919893
260.92170.9097481931471410.0119518068528588
270.90950.9080805180811880.00141948191881203
280.8920.900760105001888-0.0087601050018884
290.87420.8606549220859920.0135450779140076
300.85320.921149384218215-0.0679493842182153
310.86070.8124637834044260.0482362165955741
320.90050.8678750217304930.0326249782695065
330.91110.8942226591143980.0168773408856017
340.90590.932944847692385-0.0270448476923846
350.88830.8881189206051850.000181079394815264
360.89240.8737169164311450.0186830835688550
370.88330.883840396382622-0.000540396382622488
380.870.8589029297339690.0110970702660314
390.87580.8573790243486280.0184209756513719
400.88580.8666508748391710.0191491251608291
410.9170.8587783116690860.0582216883309142
420.95540.95413342419410.00126657580590062
430.99220.9333331263549610.058866873645039
440.97781.00844666252811-0.0306466625281139
450.98080.9870409001049-0.00624090010490086
460.98111.00717912096454-0.02607912096454
471.00140.9745014804448450.0268985195551548
481.01830.9948115368791220.0234884631208777
491.06221.015815848902460.0463841510975367
501.07731.045180311981030.0321196880189711
511.08071.076368225661470.00433177433852650
521.08481.08636821396511-0.00156821396510587
531.15821.077621188460670.0805788115393287
541.16631.19707304991013-0.0307730499101331
551.13721.16766118027058-0.0304611802705801
561.11391.15882011924888-0.0449201192488764
571.12221.1330800188951-0.0108800188951006
581.16921.150690652277060.0185093477229406
591.17021.17075022270366-0.000550222703664005
601.22861.172267677921380.0563323220786183
611.26131.232028241886780.0292717581132225
621.26461.250934597294830.0136654027051726
631.22621.26748518764415-0.041285187644154
641.19851.23975443868747-0.0412544386874714
651.20071.20826968130461-0.00756968130460822
661.21381.23080963754201-0.0170096375420106
671.22661.208607212101410.0179927878985868
681.21761.23771338760201-0.0201133876020145
691.22181.23789538929663-0.0160953892966329
701.2491.25463817115914-0.00563817115914067
711.29911.249284266786520.0498157332134752
721.34081.303190909563260.037609090436737
731.31191.34302351950686-0.0311235195068611
741.30141.30406331330588-0.00266331330588421
751.32011.294134746826300.0259652531736971
761.29381.32362503759217-0.0298250375921731
771.26941.30676794420661-0.0373679442066110
781.21651.30061464605355-0.0841146460535516
791.20371.21974136717618-0.0160413671761772
801.22921.206294782252930.0229052177470728
811.22561.23872525622995-0.0131252562299464
821.20151.25435855940209-0.0528585594020885
831.17861.20813476898104-0.0295347689810443
841.18561.179200164525890.00639983547410972
851.21031.167764994114580.0425350058854206
861.19381.185848097021190.00795190297881443
871.2021.179420342857510.022579657142487
881.22711.188344343347500.0387556566525016
891.2771.223772935448240.0532270645517645
901.2651.28890561493379-0.0239056149337915
911.26841.27295429340549-0.00455429340548652
921.28111.279155630970580.00194436902942252
931.27271.29154633429204-0.0188463342920409
941.26111.29937674392037-0.0382767439203742
951.28811.272532977974090.0155670220259145
961.32131.293757363215460.0275426367845437
971.29991.31320135349621-0.0133013534962094
981.30741.282636289725950.0247637102740519
991.32421.297958421115130.0262415788848662
1001.35161.317764785351010.0338352146489931
1011.35111.35615448294248-0.00505448294247746
1021.34191.36195841002156-0.0200584100215606
1031.37161.353852843641310.0177471563586877
1041.36221.38333901629522-0.0211390162952225
1051.38961.374747303376040.0148526966239597
1061.42271.412685445943940.0100145540560628
1071.46841.441719166063340.0266808339366584
1081.4571.48166851206183-0.0246685120618342
1091.47181.454780918684750.0170190813152504
1101.47481.461768386809600.0130316131904047
1111.55271.472636090402930.0800639095970745
1121.5751.548522120490790.0264778795092062
1131.55571.58341806835461-0.0277180683546092
1141.55531.57451887755431-0.0192188775543141
1151.5771.57936774184362-0.00236774184362409
1161.49751.59181686520620-0.0943168652061963
1171.43691.52654873491655-0.0896487349165489
1181.33221.46874643113537-0.13654643113537
1191.27321.35988994788131-0.0866899478813117
1201.34491.274016768598470.0708832314015333
1211.32391.319865640278610.00403435972139055







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1221.299057390247321.224156937852201.37395784264244
1231.291232638010431.189388551718371.39307672430249
1241.268981100351711.143324786533171.39463741417026
1251.250113983236851.102113438943291.39811452753041
1261.244537651875731.074954683651811.41412062009966
1271.247748152216301.056975028646441.43852127578615
1281.228979979753741.017191464298161.44076849520932
1291.230882109561390.9981149203115621.46364929881121
1301.234514754126270.980713332761931.4883161754906
1311.249345921343100.9743906958289241.52430114685728
1321.264681493232950.96840726634671.56095572011921
1331.240459395996810.9226678048590971.55825098713451

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
122 & 1.29905739024732 & 1.22415693785220 & 1.37395784264244 \tabularnewline
123 & 1.29123263801043 & 1.18938855171837 & 1.39307672430249 \tabularnewline
124 & 1.26898110035171 & 1.14332478653317 & 1.39463741417026 \tabularnewline
125 & 1.25011398323685 & 1.10211343894329 & 1.39811452753041 \tabularnewline
126 & 1.24453765187573 & 1.07495468365181 & 1.41412062009966 \tabularnewline
127 & 1.24774815221630 & 1.05697502864644 & 1.43852127578615 \tabularnewline
128 & 1.22897997975374 & 1.01719146429816 & 1.44076849520932 \tabularnewline
129 & 1.23088210956139 & 0.998114920311562 & 1.46364929881121 \tabularnewline
130 & 1.23451475412627 & 0.98071333276193 & 1.4883161754906 \tabularnewline
131 & 1.24934592134310 & 0.974390695828924 & 1.52430114685728 \tabularnewline
132 & 1.26468149323295 & 0.9684072663467 & 1.56095572011921 \tabularnewline
133 & 1.24045939599681 & 0.922667804859097 & 1.55825098713451 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41375&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]122[/C][C]1.29905739024732[/C][C]1.22415693785220[/C][C]1.37395784264244[/C][/ROW]
[ROW][C]123[/C][C]1.29123263801043[/C][C]1.18938855171837[/C][C]1.39307672430249[/C][/ROW]
[ROW][C]124[/C][C]1.26898110035171[/C][C]1.14332478653317[/C][C]1.39463741417026[/C][/ROW]
[ROW][C]125[/C][C]1.25011398323685[/C][C]1.10211343894329[/C][C]1.39811452753041[/C][/ROW]
[ROW][C]126[/C][C]1.24453765187573[/C][C]1.07495468365181[/C][C]1.41412062009966[/C][/ROW]
[ROW][C]127[/C][C]1.24774815221630[/C][C]1.05697502864644[/C][C]1.43852127578615[/C][/ROW]
[ROW][C]128[/C][C]1.22897997975374[/C][C]1.01719146429816[/C][C]1.44076849520932[/C][/ROW]
[ROW][C]129[/C][C]1.23088210956139[/C][C]0.998114920311562[/C][C]1.46364929881121[/C][/ROW]
[ROW][C]130[/C][C]1.23451475412627[/C][C]0.98071333276193[/C][C]1.4883161754906[/C][/ROW]
[ROW][C]131[/C][C]1.24934592134310[/C][C]0.974390695828924[/C][C]1.52430114685728[/C][/ROW]
[ROW][C]132[/C][C]1.26468149323295[/C][C]0.9684072663467[/C][C]1.56095572011921[/C][/ROW]
[ROW][C]133[/C][C]1.24045939599681[/C][C]0.922667804859097[/C][C]1.55825098713451[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41375&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41375&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
1221.299057390247321.224156937852201.37395784264244
1231.291232638010431.189388551718371.39307672430249
1241.268981100351711.143324786533171.39463741417026
1251.250113983236851.102113438943291.39811452753041
1261.244537651875731.074954683651811.41412062009966
1271.247748152216301.056975028646441.43852127578615
1281.228979979753741.017191464298161.44076849520932
1291.230882109561390.9981149203115621.46364929881121
1301.234514754126270.980713332761931.4883161754906
1311.249345921343100.9743906958289241.52430114685728
1321.264681493232950.96840726634671.56095572011921
1331.240459395996810.9226678048590971.55825098713451



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')