Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 21 Dec 2010 23:55:40 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/22/t12929756396m121aanlku5qny.htm/, Retrieved Sun, 05 May 2024 22:29:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114040, Retrieved Sun, 05 May 2024 22:29:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact190
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [opgave 10 oef 1] [2010-01-16 09:05:47] [bca481c43219f65eca3a6066c160a58b]
-   PD    [Exponential Smoothing] [] [2010-12-21 23:55:40] [97983bf7277c2e38098275bb77d0f83a] [Current]
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Dataseries X:
97
100.7
101.4
101.5
101.8
101.5
102.2
101.8
98.5
98.4
97.5
97.7
98.3
99.6
99.4
96.7
96.9
96.1
97.9
99.2
97.8
94.9
93.3
91.5
89.1
92.3
91.8
92.1
94.4
92.8
92.6
92.3
92.1
89.8
87.4
87.7
86.3
89.1
90.4
87.1
86.7
84.4
88.4
88.9
88.5
87.2
86.2
83.4
87.5
85.7
87.4
86.8
87.9
85.9
87.7
87
86.8
86.2
86.1
87.5
85.7
88.9
89.8
91.4
95.2
94.1
96.8
96.1
96.6
94.2
93.9
96.5
93.4
95
95.2
94
97
96.9
96.3
96.3
97.3
95.7
96.4
95.1
94.6
95.9
96.2
94.3
98.3
95.9
92.1
94.6
94.7
96.7
97.5
96.2
97.1
95.9
94.5
99.4
101.3
101.4
100.9
101.4
103.1
102.4
101.1
102
103.9
101.7
101.2
101.9
101.1
103.1
103.3
101.4
102.8
103
102.6
102.2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time16 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 & 16 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114040&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]16 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=114040&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114040&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 time16 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.840013960810943
beta0.212264917034862
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.840013960810943 \tabularnewline
beta & 0.212264917034862 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114040&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]0.840013960810943[/C][/ROW]
[ROW][C]beta[/C][C]0.212264917034862[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114040&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114040&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
alpha0.840013960810943
beta0.212264917034862
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3101.4104.4-3
4101.5105.045041636468-3.54504163646818
5101.8104.600140289904-2.80014028990354
6101.5104.281686077061-2.78168607706051
7102.2103.482743751354-1.28274375135366
8101.8103.714213647816-1.91421364781573
998.5103.073925205897-4.5739252058974
1098.499.3838859314774-0.983885931477374
1197.598.5340975006736-1.03409750067355
1297.797.45774538535950.242254614640473
1398.397.49674219448440.803257805515642
1499.698.15021479558441.44978520441560
1599.499.605284104439-0.205284104438945
1696.799.6334688041553-2.93346880415530
1796.996.84688666506160.0531133349383737
1896.196.5785456173235-0.478545617323505
1997.995.77827631474062.12172368525943
2099.297.54058451738991.6594154826101
2197.899.210430272496-1.41043027249603
2294.998.0500752697104-3.15007526971044
2393.394.866718456253-1.56671845625304
2491.592.7340489632144-1.23404896321439
2589.190.6607887790286-1.56078877902863
2692.388.03476537420054.26523462579949
2791.891.06319773113740.736802268862618
2892.191.25907354077880.840926459221194
2994.491.69235693145612.7076430685439
3092.894.1764959689413-1.37649596894133
3192.692.9844644037283-0.384464403728316
3292.392.5572010875426-0.25720108754264
3392.192.1909803667577-0.0909803667576625
3489.891.9481650727964-2.14816507279642
3587.489.5942562719425-2.19425627194252
3687.786.81038227246310.889617727536887
3786.386.7756292140407-0.475629214040708
3889.185.50924236291123.59075763708883
3990.488.29892905002542.10107094997457
4087.190.2118906157628-3.11189061576276
4186.787.191024496527-0.491024496526919
4284.486.2841701415937-1.88417014159373
4388.483.87109610805044.52890389194957
4488.987.652622238771.24737776122997
4588.588.9000349144654-0.400034914465351
4687.288.6922695204388-1.49226952043884
4786.287.300931955339-1.10093195533895
4883.486.0420211924863-2.64202119248627
4987.583.01748706248314.48251293751686
5085.786.7769177482957-1.07691774829574
5187.485.67432869308121.72567130691880
5286.887.2336502450063-0.433650245006334
5387.986.90178932640560.998210673594443
5485.987.9506980163406-2.05069801634055
5587.786.07283011925981.62716988074017
568787.5745559306639-0.574555930663905
5786.887.1243548437356-0.324354843735634
5886.286.826491912291-0.62649191229103
5986.186.1631226754615-0.0631226754615142
6087.585.96173634284841.53826365715162
6185.787.3798177471108-1.67981774711079
6288.985.79514511204273.10485488795734
6389.888.78327697200491.01672302799513
6491.490.19863621904721.20136378095282
6595.291.98330603838433.21669396161570
6694.196.0344355500285-1.93443555002848
6796.895.41362387216831.38637612783172
6896.197.8295388448611-1.72953884486112
6996.697.3196554621864-0.719655462186424
7094.297.5297696972706-3.32976969727063
7193.994.9536353057947-1.05363530579473
7296.594.10161661646142.3983833835386
7393.496.5769867524313-3.17698675243125
749593.80249394612851.19750605387151
7595.294.9161580767310.283841923269023
769495.3129421563963-1.31294215639633
779794.13430051734682.86569948265321
7896.996.9767461533741-0.076746153374117
7996.397.3338121154443-1.03381211544435
8096.396.7025949283216-0.402594928321633
8197.396.52982410323040.770175896769558
8295.797.4795237375567-1.77952373755669
8396.495.9701412245990.429858775400987
8495.196.3933170484664-1.29331704846638
8594.695.1383955885162-0.538395588516252
8695.994.4216198030241.47838019697609
8796.295.66256714406820.537432855931783
8894.396.2089328129547-1.90893281295470
8998.394.35994395907463.94005604092544
9095.998.1267210366629-2.22672103666287
9192.196.3162826820945-4.21628268209452
9294.692.08279840426142.51720159573861
9394.793.95436579797880.745634202021193
9496.794.47074252296692.22925747703312
9597.596.6308723665750.86912763342491
9696.297.8034443848026-1.60344438480264
9797.196.61311844595640.48688155404362
9895.997.2655091342532-1.36550913425320
9994.596.1183880031701-1.61838800317011
10099.494.47027761989994.92972238010013
101101.399.20166795829382.09833204170624
102101.4101.928795014574-0.528795014573788
103100.9102.354811610615-1.45481161061495
104101.4101.743560435568-0.343560435568207
105103.1102.0045170484491.09548295155136
106102.4103.669620825238-1.26962082523809
107101.1103.121624042702-2.02162404270229
108102101.5814673859130.41853261408734
109103.9102.1657030517761.73429694822367
110101.7104.164433801026-2.46443380102647
111101.2102.196750017638-0.99675001763815
112101.9101.2842150983620.615784901638278
113101.1101.836029854472-0.736029854472065
114103.1101.1210631764401.97893682355986
115103.3103.0395617184170.260438281583177
116101.4103.560935069876-2.16093506987580
117102.8101.6630144072871.13698559271344
118103102.7381239203570.261876079642676
119102.6103.124823168879-0.524823168878996
120102.2102.757105211451-0.557105211450988

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 101.4 & 104.4 & -3 \tabularnewline
4 & 101.5 & 105.045041636468 & -3.54504163646818 \tabularnewline
5 & 101.8 & 104.600140289904 & -2.80014028990354 \tabularnewline
6 & 101.5 & 104.281686077061 & -2.78168607706051 \tabularnewline
7 & 102.2 & 103.482743751354 & -1.28274375135366 \tabularnewline
8 & 101.8 & 103.714213647816 & -1.91421364781573 \tabularnewline
9 & 98.5 & 103.073925205897 & -4.5739252058974 \tabularnewline
10 & 98.4 & 99.3838859314774 & -0.983885931477374 \tabularnewline
11 & 97.5 & 98.5340975006736 & -1.03409750067355 \tabularnewline
12 & 97.7 & 97.4577453853595 & 0.242254614640473 \tabularnewline
13 & 98.3 & 97.4967421944844 & 0.803257805515642 \tabularnewline
14 & 99.6 & 98.1502147955844 & 1.44978520441560 \tabularnewline
15 & 99.4 & 99.605284104439 & -0.205284104438945 \tabularnewline
16 & 96.7 & 99.6334688041553 & -2.93346880415530 \tabularnewline
17 & 96.9 & 96.8468866650616 & 0.0531133349383737 \tabularnewline
18 & 96.1 & 96.5785456173235 & -0.478545617323505 \tabularnewline
19 & 97.9 & 95.7782763147406 & 2.12172368525943 \tabularnewline
20 & 99.2 & 97.5405845173899 & 1.6594154826101 \tabularnewline
21 & 97.8 & 99.210430272496 & -1.41043027249603 \tabularnewline
22 & 94.9 & 98.0500752697104 & -3.15007526971044 \tabularnewline
23 & 93.3 & 94.866718456253 & -1.56671845625304 \tabularnewline
24 & 91.5 & 92.7340489632144 & -1.23404896321439 \tabularnewline
25 & 89.1 & 90.6607887790286 & -1.56078877902863 \tabularnewline
26 & 92.3 & 88.0347653742005 & 4.26523462579949 \tabularnewline
27 & 91.8 & 91.0631977311374 & 0.736802268862618 \tabularnewline
28 & 92.1 & 91.2590735407788 & 0.840926459221194 \tabularnewline
29 & 94.4 & 91.6923569314561 & 2.7076430685439 \tabularnewline
30 & 92.8 & 94.1764959689413 & -1.37649596894133 \tabularnewline
31 & 92.6 & 92.9844644037283 & -0.384464403728316 \tabularnewline
32 & 92.3 & 92.5572010875426 & -0.25720108754264 \tabularnewline
33 & 92.1 & 92.1909803667577 & -0.0909803667576625 \tabularnewline
34 & 89.8 & 91.9481650727964 & -2.14816507279642 \tabularnewline
35 & 87.4 & 89.5942562719425 & -2.19425627194252 \tabularnewline
36 & 87.7 & 86.8103822724631 & 0.889617727536887 \tabularnewline
37 & 86.3 & 86.7756292140407 & -0.475629214040708 \tabularnewline
38 & 89.1 & 85.5092423629112 & 3.59075763708883 \tabularnewline
39 & 90.4 & 88.2989290500254 & 2.10107094997457 \tabularnewline
40 & 87.1 & 90.2118906157628 & -3.11189061576276 \tabularnewline
41 & 86.7 & 87.191024496527 & -0.491024496526919 \tabularnewline
42 & 84.4 & 86.2841701415937 & -1.88417014159373 \tabularnewline
43 & 88.4 & 83.8710961080504 & 4.52890389194957 \tabularnewline
44 & 88.9 & 87.65262223877 & 1.24737776122997 \tabularnewline
45 & 88.5 & 88.9000349144654 & -0.400034914465351 \tabularnewline
46 & 87.2 & 88.6922695204388 & -1.49226952043884 \tabularnewline
47 & 86.2 & 87.300931955339 & -1.10093195533895 \tabularnewline
48 & 83.4 & 86.0420211924863 & -2.64202119248627 \tabularnewline
49 & 87.5 & 83.0174870624831 & 4.48251293751686 \tabularnewline
50 & 85.7 & 86.7769177482957 & -1.07691774829574 \tabularnewline
51 & 87.4 & 85.6743286930812 & 1.72567130691880 \tabularnewline
52 & 86.8 & 87.2336502450063 & -0.433650245006334 \tabularnewline
53 & 87.9 & 86.9017893264056 & 0.998210673594443 \tabularnewline
54 & 85.9 & 87.9506980163406 & -2.05069801634055 \tabularnewline
55 & 87.7 & 86.0728301192598 & 1.62716988074017 \tabularnewline
56 & 87 & 87.5745559306639 & -0.574555930663905 \tabularnewline
57 & 86.8 & 87.1243548437356 & -0.324354843735634 \tabularnewline
58 & 86.2 & 86.826491912291 & -0.62649191229103 \tabularnewline
59 & 86.1 & 86.1631226754615 & -0.0631226754615142 \tabularnewline
60 & 87.5 & 85.9617363428484 & 1.53826365715162 \tabularnewline
61 & 85.7 & 87.3798177471108 & -1.67981774711079 \tabularnewline
62 & 88.9 & 85.7951451120427 & 3.10485488795734 \tabularnewline
63 & 89.8 & 88.7832769720049 & 1.01672302799513 \tabularnewline
64 & 91.4 & 90.1986362190472 & 1.20136378095282 \tabularnewline
65 & 95.2 & 91.9833060383843 & 3.21669396161570 \tabularnewline
66 & 94.1 & 96.0344355500285 & -1.93443555002848 \tabularnewline
67 & 96.8 & 95.4136238721683 & 1.38637612783172 \tabularnewline
68 & 96.1 & 97.8295388448611 & -1.72953884486112 \tabularnewline
69 & 96.6 & 97.3196554621864 & -0.719655462186424 \tabularnewline
70 & 94.2 & 97.5297696972706 & -3.32976969727063 \tabularnewline
71 & 93.9 & 94.9536353057947 & -1.05363530579473 \tabularnewline
72 & 96.5 & 94.1016166164614 & 2.3983833835386 \tabularnewline
73 & 93.4 & 96.5769867524313 & -3.17698675243125 \tabularnewline
74 & 95 & 93.8024939461285 & 1.19750605387151 \tabularnewline
75 & 95.2 & 94.916158076731 & 0.283841923269023 \tabularnewline
76 & 94 & 95.3129421563963 & -1.31294215639633 \tabularnewline
77 & 97 & 94.1343005173468 & 2.86569948265321 \tabularnewline
78 & 96.9 & 96.9767461533741 & -0.076746153374117 \tabularnewline
79 & 96.3 & 97.3338121154443 & -1.03381211544435 \tabularnewline
80 & 96.3 & 96.7025949283216 & -0.402594928321633 \tabularnewline
81 & 97.3 & 96.5298241032304 & 0.770175896769558 \tabularnewline
82 & 95.7 & 97.4795237375567 & -1.77952373755669 \tabularnewline
83 & 96.4 & 95.970141224599 & 0.429858775400987 \tabularnewline
84 & 95.1 & 96.3933170484664 & -1.29331704846638 \tabularnewline
85 & 94.6 & 95.1383955885162 & -0.538395588516252 \tabularnewline
86 & 95.9 & 94.421619803024 & 1.47838019697609 \tabularnewline
87 & 96.2 & 95.6625671440682 & 0.537432855931783 \tabularnewline
88 & 94.3 & 96.2089328129547 & -1.90893281295470 \tabularnewline
89 & 98.3 & 94.3599439590746 & 3.94005604092544 \tabularnewline
90 & 95.9 & 98.1267210366629 & -2.22672103666287 \tabularnewline
91 & 92.1 & 96.3162826820945 & -4.21628268209452 \tabularnewline
92 & 94.6 & 92.0827984042614 & 2.51720159573861 \tabularnewline
93 & 94.7 & 93.9543657979788 & 0.745634202021193 \tabularnewline
94 & 96.7 & 94.4707425229669 & 2.22925747703312 \tabularnewline
95 & 97.5 & 96.630872366575 & 0.86912763342491 \tabularnewline
96 & 96.2 & 97.8034443848026 & -1.60344438480264 \tabularnewline
97 & 97.1 & 96.6131184459564 & 0.48688155404362 \tabularnewline
98 & 95.9 & 97.2655091342532 & -1.36550913425320 \tabularnewline
99 & 94.5 & 96.1183880031701 & -1.61838800317011 \tabularnewline
100 & 99.4 & 94.4702776198999 & 4.92972238010013 \tabularnewline
101 & 101.3 & 99.2016679582938 & 2.09833204170624 \tabularnewline
102 & 101.4 & 101.928795014574 & -0.528795014573788 \tabularnewline
103 & 100.9 & 102.354811610615 & -1.45481161061495 \tabularnewline
104 & 101.4 & 101.743560435568 & -0.343560435568207 \tabularnewline
105 & 103.1 & 102.004517048449 & 1.09548295155136 \tabularnewline
106 & 102.4 & 103.669620825238 & -1.26962082523809 \tabularnewline
107 & 101.1 & 103.121624042702 & -2.02162404270229 \tabularnewline
108 & 102 & 101.581467385913 & 0.41853261408734 \tabularnewline
109 & 103.9 & 102.165703051776 & 1.73429694822367 \tabularnewline
110 & 101.7 & 104.164433801026 & -2.46443380102647 \tabularnewline
111 & 101.2 & 102.196750017638 & -0.99675001763815 \tabularnewline
112 & 101.9 & 101.284215098362 & 0.615784901638278 \tabularnewline
113 & 101.1 & 101.836029854472 & -0.736029854472065 \tabularnewline
114 & 103.1 & 101.121063176440 & 1.97893682355986 \tabularnewline
115 & 103.3 & 103.039561718417 & 0.260438281583177 \tabularnewline
116 & 101.4 & 103.560935069876 & -2.16093506987580 \tabularnewline
117 & 102.8 & 101.663014407287 & 1.13698559271344 \tabularnewline
118 & 103 & 102.738123920357 & 0.261876079642676 \tabularnewline
119 & 102.6 & 103.124823168879 & -0.524823168878996 \tabularnewline
120 & 102.2 & 102.757105211451 & -0.557105211450988 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114040&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]101.4[/C][C]104.4[/C][C]-3[/C][/ROW]
[ROW][C]4[/C][C]101.5[/C][C]105.045041636468[/C][C]-3.54504163646818[/C][/ROW]
[ROW][C]5[/C][C]101.8[/C][C]104.600140289904[/C][C]-2.80014028990354[/C][/ROW]
[ROW][C]6[/C][C]101.5[/C][C]104.281686077061[/C][C]-2.78168607706051[/C][/ROW]
[ROW][C]7[/C][C]102.2[/C][C]103.482743751354[/C][C]-1.28274375135366[/C][/ROW]
[ROW][C]8[/C][C]101.8[/C][C]103.714213647816[/C][C]-1.91421364781573[/C][/ROW]
[ROW][C]9[/C][C]98.5[/C][C]103.073925205897[/C][C]-4.5739252058974[/C][/ROW]
[ROW][C]10[/C][C]98.4[/C][C]99.3838859314774[/C][C]-0.983885931477374[/C][/ROW]
[ROW][C]11[/C][C]97.5[/C][C]98.5340975006736[/C][C]-1.03409750067355[/C][/ROW]
[ROW][C]12[/C][C]97.7[/C][C]97.4577453853595[/C][C]0.242254614640473[/C][/ROW]
[ROW][C]13[/C][C]98.3[/C][C]97.4967421944844[/C][C]0.803257805515642[/C][/ROW]
[ROW][C]14[/C][C]99.6[/C][C]98.1502147955844[/C][C]1.44978520441560[/C][/ROW]
[ROW][C]15[/C][C]99.4[/C][C]99.605284104439[/C][C]-0.205284104438945[/C][/ROW]
[ROW][C]16[/C][C]96.7[/C][C]99.6334688041553[/C][C]-2.93346880415530[/C][/ROW]
[ROW][C]17[/C][C]96.9[/C][C]96.8468866650616[/C][C]0.0531133349383737[/C][/ROW]
[ROW][C]18[/C][C]96.1[/C][C]96.5785456173235[/C][C]-0.478545617323505[/C][/ROW]
[ROW][C]19[/C][C]97.9[/C][C]95.7782763147406[/C][C]2.12172368525943[/C][/ROW]
[ROW][C]20[/C][C]99.2[/C][C]97.5405845173899[/C][C]1.6594154826101[/C][/ROW]
[ROW][C]21[/C][C]97.8[/C][C]99.210430272496[/C][C]-1.41043027249603[/C][/ROW]
[ROW][C]22[/C][C]94.9[/C][C]98.0500752697104[/C][C]-3.15007526971044[/C][/ROW]
[ROW][C]23[/C][C]93.3[/C][C]94.866718456253[/C][C]-1.56671845625304[/C][/ROW]
[ROW][C]24[/C][C]91.5[/C][C]92.7340489632144[/C][C]-1.23404896321439[/C][/ROW]
[ROW][C]25[/C][C]89.1[/C][C]90.6607887790286[/C][C]-1.56078877902863[/C][/ROW]
[ROW][C]26[/C][C]92.3[/C][C]88.0347653742005[/C][C]4.26523462579949[/C][/ROW]
[ROW][C]27[/C][C]91.8[/C][C]91.0631977311374[/C][C]0.736802268862618[/C][/ROW]
[ROW][C]28[/C][C]92.1[/C][C]91.2590735407788[/C][C]0.840926459221194[/C][/ROW]
[ROW][C]29[/C][C]94.4[/C][C]91.6923569314561[/C][C]2.7076430685439[/C][/ROW]
[ROW][C]30[/C][C]92.8[/C][C]94.1764959689413[/C][C]-1.37649596894133[/C][/ROW]
[ROW][C]31[/C][C]92.6[/C][C]92.9844644037283[/C][C]-0.384464403728316[/C][/ROW]
[ROW][C]32[/C][C]92.3[/C][C]92.5572010875426[/C][C]-0.25720108754264[/C][/ROW]
[ROW][C]33[/C][C]92.1[/C][C]92.1909803667577[/C][C]-0.0909803667576625[/C][/ROW]
[ROW][C]34[/C][C]89.8[/C][C]91.9481650727964[/C][C]-2.14816507279642[/C][/ROW]
[ROW][C]35[/C][C]87.4[/C][C]89.5942562719425[/C][C]-2.19425627194252[/C][/ROW]
[ROW][C]36[/C][C]87.7[/C][C]86.8103822724631[/C][C]0.889617727536887[/C][/ROW]
[ROW][C]37[/C][C]86.3[/C][C]86.7756292140407[/C][C]-0.475629214040708[/C][/ROW]
[ROW][C]38[/C][C]89.1[/C][C]85.5092423629112[/C][C]3.59075763708883[/C][/ROW]
[ROW][C]39[/C][C]90.4[/C][C]88.2989290500254[/C][C]2.10107094997457[/C][/ROW]
[ROW][C]40[/C][C]87.1[/C][C]90.2118906157628[/C][C]-3.11189061576276[/C][/ROW]
[ROW][C]41[/C][C]86.7[/C][C]87.191024496527[/C][C]-0.491024496526919[/C][/ROW]
[ROW][C]42[/C][C]84.4[/C][C]86.2841701415937[/C][C]-1.88417014159373[/C][/ROW]
[ROW][C]43[/C][C]88.4[/C][C]83.8710961080504[/C][C]4.52890389194957[/C][/ROW]
[ROW][C]44[/C][C]88.9[/C][C]87.65262223877[/C][C]1.24737776122997[/C][/ROW]
[ROW][C]45[/C][C]88.5[/C][C]88.9000349144654[/C][C]-0.400034914465351[/C][/ROW]
[ROW][C]46[/C][C]87.2[/C][C]88.6922695204388[/C][C]-1.49226952043884[/C][/ROW]
[ROW][C]47[/C][C]86.2[/C][C]87.300931955339[/C][C]-1.10093195533895[/C][/ROW]
[ROW][C]48[/C][C]83.4[/C][C]86.0420211924863[/C][C]-2.64202119248627[/C][/ROW]
[ROW][C]49[/C][C]87.5[/C][C]83.0174870624831[/C][C]4.48251293751686[/C][/ROW]
[ROW][C]50[/C][C]85.7[/C][C]86.7769177482957[/C][C]-1.07691774829574[/C][/ROW]
[ROW][C]51[/C][C]87.4[/C][C]85.6743286930812[/C][C]1.72567130691880[/C][/ROW]
[ROW][C]52[/C][C]86.8[/C][C]87.2336502450063[/C][C]-0.433650245006334[/C][/ROW]
[ROW][C]53[/C][C]87.9[/C][C]86.9017893264056[/C][C]0.998210673594443[/C][/ROW]
[ROW][C]54[/C][C]85.9[/C][C]87.9506980163406[/C][C]-2.05069801634055[/C][/ROW]
[ROW][C]55[/C][C]87.7[/C][C]86.0728301192598[/C][C]1.62716988074017[/C][/ROW]
[ROW][C]56[/C][C]87[/C][C]87.5745559306639[/C][C]-0.574555930663905[/C][/ROW]
[ROW][C]57[/C][C]86.8[/C][C]87.1243548437356[/C][C]-0.324354843735634[/C][/ROW]
[ROW][C]58[/C][C]86.2[/C][C]86.826491912291[/C][C]-0.62649191229103[/C][/ROW]
[ROW][C]59[/C][C]86.1[/C][C]86.1631226754615[/C][C]-0.0631226754615142[/C][/ROW]
[ROW][C]60[/C][C]87.5[/C][C]85.9617363428484[/C][C]1.53826365715162[/C][/ROW]
[ROW][C]61[/C][C]85.7[/C][C]87.3798177471108[/C][C]-1.67981774711079[/C][/ROW]
[ROW][C]62[/C][C]88.9[/C][C]85.7951451120427[/C][C]3.10485488795734[/C][/ROW]
[ROW][C]63[/C][C]89.8[/C][C]88.7832769720049[/C][C]1.01672302799513[/C][/ROW]
[ROW][C]64[/C][C]91.4[/C][C]90.1986362190472[/C][C]1.20136378095282[/C][/ROW]
[ROW][C]65[/C][C]95.2[/C][C]91.9833060383843[/C][C]3.21669396161570[/C][/ROW]
[ROW][C]66[/C][C]94.1[/C][C]96.0344355500285[/C][C]-1.93443555002848[/C][/ROW]
[ROW][C]67[/C][C]96.8[/C][C]95.4136238721683[/C][C]1.38637612783172[/C][/ROW]
[ROW][C]68[/C][C]96.1[/C][C]97.8295388448611[/C][C]-1.72953884486112[/C][/ROW]
[ROW][C]69[/C][C]96.6[/C][C]97.3196554621864[/C][C]-0.719655462186424[/C][/ROW]
[ROW][C]70[/C][C]94.2[/C][C]97.5297696972706[/C][C]-3.32976969727063[/C][/ROW]
[ROW][C]71[/C][C]93.9[/C][C]94.9536353057947[/C][C]-1.05363530579473[/C][/ROW]
[ROW][C]72[/C][C]96.5[/C][C]94.1016166164614[/C][C]2.3983833835386[/C][/ROW]
[ROW][C]73[/C][C]93.4[/C][C]96.5769867524313[/C][C]-3.17698675243125[/C][/ROW]
[ROW][C]74[/C][C]95[/C][C]93.8024939461285[/C][C]1.19750605387151[/C][/ROW]
[ROW][C]75[/C][C]95.2[/C][C]94.916158076731[/C][C]0.283841923269023[/C][/ROW]
[ROW][C]76[/C][C]94[/C][C]95.3129421563963[/C][C]-1.31294215639633[/C][/ROW]
[ROW][C]77[/C][C]97[/C][C]94.1343005173468[/C][C]2.86569948265321[/C][/ROW]
[ROW][C]78[/C][C]96.9[/C][C]96.9767461533741[/C][C]-0.076746153374117[/C][/ROW]
[ROW][C]79[/C][C]96.3[/C][C]97.3338121154443[/C][C]-1.03381211544435[/C][/ROW]
[ROW][C]80[/C][C]96.3[/C][C]96.7025949283216[/C][C]-0.402594928321633[/C][/ROW]
[ROW][C]81[/C][C]97.3[/C][C]96.5298241032304[/C][C]0.770175896769558[/C][/ROW]
[ROW][C]82[/C][C]95.7[/C][C]97.4795237375567[/C][C]-1.77952373755669[/C][/ROW]
[ROW][C]83[/C][C]96.4[/C][C]95.970141224599[/C][C]0.429858775400987[/C][/ROW]
[ROW][C]84[/C][C]95.1[/C][C]96.3933170484664[/C][C]-1.29331704846638[/C][/ROW]
[ROW][C]85[/C][C]94.6[/C][C]95.1383955885162[/C][C]-0.538395588516252[/C][/ROW]
[ROW][C]86[/C][C]95.9[/C][C]94.421619803024[/C][C]1.47838019697609[/C][/ROW]
[ROW][C]87[/C][C]96.2[/C][C]95.6625671440682[/C][C]0.537432855931783[/C][/ROW]
[ROW][C]88[/C][C]94.3[/C][C]96.2089328129547[/C][C]-1.90893281295470[/C][/ROW]
[ROW][C]89[/C][C]98.3[/C][C]94.3599439590746[/C][C]3.94005604092544[/C][/ROW]
[ROW][C]90[/C][C]95.9[/C][C]98.1267210366629[/C][C]-2.22672103666287[/C][/ROW]
[ROW][C]91[/C][C]92.1[/C][C]96.3162826820945[/C][C]-4.21628268209452[/C][/ROW]
[ROW][C]92[/C][C]94.6[/C][C]92.0827984042614[/C][C]2.51720159573861[/C][/ROW]
[ROW][C]93[/C][C]94.7[/C][C]93.9543657979788[/C][C]0.745634202021193[/C][/ROW]
[ROW][C]94[/C][C]96.7[/C][C]94.4707425229669[/C][C]2.22925747703312[/C][/ROW]
[ROW][C]95[/C][C]97.5[/C][C]96.630872366575[/C][C]0.86912763342491[/C][/ROW]
[ROW][C]96[/C][C]96.2[/C][C]97.8034443848026[/C][C]-1.60344438480264[/C][/ROW]
[ROW][C]97[/C][C]97.1[/C][C]96.6131184459564[/C][C]0.48688155404362[/C][/ROW]
[ROW][C]98[/C][C]95.9[/C][C]97.2655091342532[/C][C]-1.36550913425320[/C][/ROW]
[ROW][C]99[/C][C]94.5[/C][C]96.1183880031701[/C][C]-1.61838800317011[/C][/ROW]
[ROW][C]100[/C][C]99.4[/C][C]94.4702776198999[/C][C]4.92972238010013[/C][/ROW]
[ROW][C]101[/C][C]101.3[/C][C]99.2016679582938[/C][C]2.09833204170624[/C][/ROW]
[ROW][C]102[/C][C]101.4[/C][C]101.928795014574[/C][C]-0.528795014573788[/C][/ROW]
[ROW][C]103[/C][C]100.9[/C][C]102.354811610615[/C][C]-1.45481161061495[/C][/ROW]
[ROW][C]104[/C][C]101.4[/C][C]101.743560435568[/C][C]-0.343560435568207[/C][/ROW]
[ROW][C]105[/C][C]103.1[/C][C]102.004517048449[/C][C]1.09548295155136[/C][/ROW]
[ROW][C]106[/C][C]102.4[/C][C]103.669620825238[/C][C]-1.26962082523809[/C][/ROW]
[ROW][C]107[/C][C]101.1[/C][C]103.121624042702[/C][C]-2.02162404270229[/C][/ROW]
[ROW][C]108[/C][C]102[/C][C]101.581467385913[/C][C]0.41853261408734[/C][/ROW]
[ROW][C]109[/C][C]103.9[/C][C]102.165703051776[/C][C]1.73429694822367[/C][/ROW]
[ROW][C]110[/C][C]101.7[/C][C]104.164433801026[/C][C]-2.46443380102647[/C][/ROW]
[ROW][C]111[/C][C]101.2[/C][C]102.196750017638[/C][C]-0.99675001763815[/C][/ROW]
[ROW][C]112[/C][C]101.9[/C][C]101.284215098362[/C][C]0.615784901638278[/C][/ROW]
[ROW][C]113[/C][C]101.1[/C][C]101.836029854472[/C][C]-0.736029854472065[/C][/ROW]
[ROW][C]114[/C][C]103.1[/C][C]101.121063176440[/C][C]1.97893682355986[/C][/ROW]
[ROW][C]115[/C][C]103.3[/C][C]103.039561718417[/C][C]0.260438281583177[/C][/ROW]
[ROW][C]116[/C][C]101.4[/C][C]103.560935069876[/C][C]-2.16093506987580[/C][/ROW]
[ROW][C]117[/C][C]102.8[/C][C]101.663014407287[/C][C]1.13698559271344[/C][/ROW]
[ROW][C]118[/C][C]103[/C][C]102.738123920357[/C][C]0.261876079642676[/C][/ROW]
[ROW][C]119[/C][C]102.6[/C][C]103.124823168879[/C][C]-0.524823168878996[/C][/ROW]
[ROW][C]120[/C][C]102.2[/C][C]102.757105211451[/C][C]-0.557105211450988[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114040&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114040&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
3101.4104.4-3
4101.5105.045041636468-3.54504163646818
5101.8104.600140289904-2.80014028990354
6101.5104.281686077061-2.78168607706051
7102.2103.482743751354-1.28274375135366
8101.8103.714213647816-1.91421364781573
998.5103.073925205897-4.5739252058974
1098.499.3838859314774-0.983885931477374
1197.598.5340975006736-1.03409750067355
1297.797.45774538535950.242254614640473
1398.397.49674219448440.803257805515642
1499.698.15021479558441.44978520441560
1599.499.605284104439-0.205284104438945
1696.799.6334688041553-2.93346880415530
1796.996.84688666506160.0531133349383737
1896.196.5785456173235-0.478545617323505
1997.995.77827631474062.12172368525943
2099.297.54058451738991.6594154826101
2197.899.210430272496-1.41043027249603
2294.998.0500752697104-3.15007526971044
2393.394.866718456253-1.56671845625304
2491.592.7340489632144-1.23404896321439
2589.190.6607887790286-1.56078877902863
2692.388.03476537420054.26523462579949
2791.891.06319773113740.736802268862618
2892.191.25907354077880.840926459221194
2994.491.69235693145612.7076430685439
3092.894.1764959689413-1.37649596894133
3192.692.9844644037283-0.384464403728316
3292.392.5572010875426-0.25720108754264
3392.192.1909803667577-0.0909803667576625
3489.891.9481650727964-2.14816507279642
3587.489.5942562719425-2.19425627194252
3687.786.81038227246310.889617727536887
3786.386.7756292140407-0.475629214040708
3889.185.50924236291123.59075763708883
3990.488.29892905002542.10107094997457
4087.190.2118906157628-3.11189061576276
4186.787.191024496527-0.491024496526919
4284.486.2841701415937-1.88417014159373
4388.483.87109610805044.52890389194957
4488.987.652622238771.24737776122997
4588.588.9000349144654-0.400034914465351
4687.288.6922695204388-1.49226952043884
4786.287.300931955339-1.10093195533895
4883.486.0420211924863-2.64202119248627
4987.583.01748706248314.48251293751686
5085.786.7769177482957-1.07691774829574
5187.485.67432869308121.72567130691880
5286.887.2336502450063-0.433650245006334
5387.986.90178932640560.998210673594443
5485.987.9506980163406-2.05069801634055
5587.786.07283011925981.62716988074017
568787.5745559306639-0.574555930663905
5786.887.1243548437356-0.324354843735634
5886.286.826491912291-0.62649191229103
5986.186.1631226754615-0.0631226754615142
6087.585.96173634284841.53826365715162
6185.787.3798177471108-1.67981774711079
6288.985.79514511204273.10485488795734
6389.888.78327697200491.01672302799513
6491.490.19863621904721.20136378095282
6595.291.98330603838433.21669396161570
6694.196.0344355500285-1.93443555002848
6796.895.41362387216831.38637612783172
6896.197.8295388448611-1.72953884486112
6996.697.3196554621864-0.719655462186424
7094.297.5297696972706-3.32976969727063
7193.994.9536353057947-1.05363530579473
7296.594.10161661646142.3983833835386
7393.496.5769867524313-3.17698675243125
749593.80249394612851.19750605387151
7595.294.9161580767310.283841923269023
769495.3129421563963-1.31294215639633
779794.13430051734682.86569948265321
7896.996.9767461533741-0.076746153374117
7996.397.3338121154443-1.03381211544435
8096.396.7025949283216-0.402594928321633
8197.396.52982410323040.770175896769558
8295.797.4795237375567-1.77952373755669
8396.495.9701412245990.429858775400987
8495.196.3933170484664-1.29331704846638
8594.695.1383955885162-0.538395588516252
8695.994.4216198030241.47838019697609
8796.295.66256714406820.537432855931783
8894.396.2089328129547-1.90893281295470
8998.394.35994395907463.94005604092544
9095.998.1267210366629-2.22672103666287
9192.196.3162826820945-4.21628268209452
9294.692.08279840426142.51720159573861
9394.793.95436579797880.745634202021193
9496.794.47074252296692.22925747703312
9597.596.6308723665750.86912763342491
9696.297.8034443848026-1.60344438480264
9797.196.61311844595640.48688155404362
9895.997.2655091342532-1.36550913425320
9994.596.1183880031701-1.61838800317011
10099.494.47027761989994.92972238010013
101101.399.20166795829382.09833204170624
102101.4101.928795014574-0.528795014573788
103100.9102.354811610615-1.45481161061495
104101.4101.743560435568-0.343560435568207
105103.1102.0045170484491.09548295155136
106102.4103.669620825238-1.26962082523809
107101.1103.121624042702-2.02162404270229
108102101.5814673859130.41853261408734
109103.9102.1657030517761.73429694822367
110101.7104.164433801026-2.46443380102647
111101.2102.196750017638-0.99675001763815
112101.9101.2842150983620.615784901638278
113101.1101.836029854472-0.736029854472065
114103.1101.1210631764401.97893682355986
115103.3103.0395617184170.260438281583177
116101.4103.560935069876-2.16093506987580
117102.8101.6630144072871.13698559271344
118103102.7381239203570.261876079642676
119102.6103.124823168879-0.524823168878996
120102.2102.757105211451-0.557105211450988







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121102.26293496780998.4513573182622106.074512617355
122102.23674087942696.7967575475938107.676724211257
123102.21054679104395.1115043664934109.309589215592
124102.18435270266093.3604726500812111.008232755238
125102.15815861427791.532220204904112.784097023649
126102.13196452589389.6231952835992114.640733768188
127102.10577043751087.6330076489895116.578533226031
128102.07957634912785.5626452683782118.596507429877
129102.05338226074483.4137058242774120.693058697211
130102.02718817236181.1880370466166122.866339298106
131102.00099408397878.8875599124513125.114428255505
132101.97479999559576.514179868529127.435420122662

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 102.262934967809 & 98.4513573182622 & 106.074512617355 \tabularnewline
122 & 102.236740879426 & 96.7967575475938 & 107.676724211257 \tabularnewline
123 & 102.210546791043 & 95.1115043664934 & 109.309589215592 \tabularnewline
124 & 102.184352702660 & 93.3604726500812 & 111.008232755238 \tabularnewline
125 & 102.158158614277 & 91.532220204904 & 112.784097023649 \tabularnewline
126 & 102.131964525893 & 89.6231952835992 & 114.640733768188 \tabularnewline
127 & 102.105770437510 & 87.6330076489895 & 116.578533226031 \tabularnewline
128 & 102.079576349127 & 85.5626452683782 & 118.596507429877 \tabularnewline
129 & 102.053382260744 & 83.4137058242774 & 120.693058697211 \tabularnewline
130 & 102.027188172361 & 81.1880370466166 & 122.866339298106 \tabularnewline
131 & 102.000994083978 & 78.8875599124513 & 125.114428255505 \tabularnewline
132 & 101.974799995595 & 76.514179868529 & 127.435420122662 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114040&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]121[/C][C]102.262934967809[/C][C]98.4513573182622[/C][C]106.074512617355[/C][/ROW]
[ROW][C]122[/C][C]102.236740879426[/C][C]96.7967575475938[/C][C]107.676724211257[/C][/ROW]
[ROW][C]123[/C][C]102.210546791043[/C][C]95.1115043664934[/C][C]109.309589215592[/C][/ROW]
[ROW][C]124[/C][C]102.184352702660[/C][C]93.3604726500812[/C][C]111.008232755238[/C][/ROW]
[ROW][C]125[/C][C]102.158158614277[/C][C]91.532220204904[/C][C]112.784097023649[/C][/ROW]
[ROW][C]126[/C][C]102.131964525893[/C][C]89.6231952835992[/C][C]114.640733768188[/C][/ROW]
[ROW][C]127[/C][C]102.105770437510[/C][C]87.6330076489895[/C][C]116.578533226031[/C][/ROW]
[ROW][C]128[/C][C]102.079576349127[/C][C]85.5626452683782[/C][C]118.596507429877[/C][/ROW]
[ROW][C]129[/C][C]102.053382260744[/C][C]83.4137058242774[/C][C]120.693058697211[/C][/ROW]
[ROW][C]130[/C][C]102.027188172361[/C][C]81.1880370466166[/C][C]122.866339298106[/C][/ROW]
[ROW][C]131[/C][C]102.000994083978[/C][C]78.8875599124513[/C][C]125.114428255505[/C][/ROW]
[ROW][C]132[/C][C]101.974799995595[/C][C]76.514179868529[/C][C]127.435420122662[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114040&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114040&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
121102.26293496780998.4513573182622106.074512617355
122102.23674087942696.7967575475938107.676724211257
123102.21054679104395.1115043664934109.309589215592
124102.18435270266093.3604726500812111.008232755238
125102.15815861427791.532220204904112.784097023649
126102.13196452589389.6231952835992114.640733768188
127102.10577043751087.6330076489895116.578533226031
128102.07957634912785.5626452683782118.596507429877
129102.05338226074483.4137058242774120.693058697211
130102.02718817236181.1880370466166122.866339298106
131102.00099408397878.8875599124513125.114428255505
132101.97479999559576.514179868529127.435420122662



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')