Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 19 Dec 2016 23:05:31 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/19/t1482185180beckue6t77y30uh.htm/, Retrieved Sat, 18 May 2024 02:14:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301536, Retrieved Sat, 18 May 2024 02:14:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exp smoothing dou...] [2016-12-19 22:05:31] [86c9a777e8dbb7ef3face68c75fc8376] [Current]
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Dataseries X:
150
114
258
282
882
1302
2736
2484
1800
3468
5526
5766
6162
6132
6240
5904
5922
8460
7896
7290
6552
8442
9570
9312
6588
6084
11298
9798
14400
13734
13482
14814
13548
15516
15480
10488
14262
14946
14166
11544
10194
11850
12702
18222
19560
19494
15282
11034
8772
7110
6312
7080
7080
8226
7614
7326
7422
8886
7698
8634
5460
9744
12330
12870
9264
9822
21126
13050
13938
10764
8886
10830
7308
18336
17484
20082
16308
18600
19794
24114
24708
22482
21288
15870
10734
11142
13080
13098
18282
15678
6096
7854
9342
9162
7092
4692
4764
3852
9456
5490
6528
9306
9018
5964
5856
20574
7704
4464
9258
6240
9354
11916
13026
10062
7638
8844
13476
19074
16896
21162
16014
13746
14550
13146
11022
10386




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301536&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301536&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301536&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.689408113597786
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.689408113597786 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301536&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]0.689408113597786[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301536&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301536&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
alpha0.689408113597786
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
325878180
4282166.093460447601115.906539552399
5882210.000369234068671.999630765932
61302637.282367018817664.717632981183
727361059.544096447561676.45590355244
824842179.30639844552304.693601554482
918002353.36463951851-553.364639518509
1034681935.870567256341532.12943274366
1155262956.133029271792569.86697072821
1257664691.820169758781074.17983024122
1361625396.36846019017765.63153980983
1461325888.20105576143243.798944238568
1562406020.27802600608219.721973993925
1659046135.75613761321-231.756137613209
1759225939.98157596658-17.981575966578
1884605891.584931599942568.41506840006
1978967626.27111884175269.728881158246
2072907776.2243979839-486.224397983902
2165527405.0173529846-853.017352984602
2284426780.940268797311661.05973120269
2395707890.0883246591679.911675341
2493129012.23306376673299.766936233265
2565889182.8948217943-2594.8948217943
2660847357.95327771643-1273.95327771643
27112986443.679551714234854.32044828577
2897989754.2874547660843.7125452339205
29144009748.423238116354651.57676188365
301373412919.2579987819814.742001218146
311348213444.947744910537.0522550894602
321481413434.49187019631379.50812980369
331354814349.5359676571-801.535967657081
341551613760.95056821381755.04943178616
351548014934.8958862524545.104113747599
361048815274.6950850255-4786.69508502553
371426211938.70865609032323.29134390971
381494613504.40455883311441.59544116686
391416614462.2521524992-296.252152499153
401154414222.0135148954-2678.01351489543
411019412339.769269402-2145.769269402
421185010824.45852516751025.54147483253
431270211495.47513874811206.52486125195
441822212291.26316735265930.73683264741
451956016343.96125939293216.03874060705
461949418525.1244608123968.875539187746
471528219157.0751185947-3875.07511859472
481103416449.5668910346-5415.56689103462
49877212680.0311366238-3908.03113662382
5071109949.80276284258-2839.80276284258
5163127956.0196971215-1644.0196971215
5270806786.61917901136293.380820988636
5370806952.87829737491127.121702625091
5482267004.517030579011221.48296942099
5576147810.61730031936-196.617300319356
5673267639.0677382055-313.0677382055
5774227387.2362993809234.7637006190789
5888867375.20267664641510.7973233536
5976988380.75860936819-682.758609368189
6086347874.05928444102759.940715558982
6154608361.96857960069-2901.96857960069
6297446325.327895418133418.67210458187
63123308646.188182047293683.81181795271
641287011149.83793831131720.1620616887
65926412299.7316203426-3035.73162034258
66982210170.8736105731-348.873610573053
67211269894.3573128238411231.6426871762
681305017601.5429103943-4551.54291039432
691393814427.67229858-489.672298579997
701076414054.0882429349-3290.08824293487
71888611749.8747138029-2863.87471380289
72108309739.496249779641090.50375022036
73730810455.2983830904-3147.29838309037
74183368249.5253418746810086.4746581253
751748415167.22280878472316.77719121527
762008216728.42780180683353.57219819318
771630819004.4076847772-2696.40768477716
781860017109.48234932441490.51765067564
791979418101.05731116091692.94268883914
802411419232.18573670264881.81426329739
812470822561.74809889722146.25190110277
822248224005.3915733421-1523.39157334215
832128822919.1530624936-1631.15306249358
841587021758.6229066906-5888.62290669063
851073417662.9584969003-6928.95849690033
861114212850.0782903549-1708.07829035493
871308011636.5152583241443.48474167599
881309812595.66535109502.33464890996
891828212905.97893378995376.02106621014
901567816576.2514757078-898.251475707752
91609615920.9896203036-9824.98962030364
9278549111.56206005229-1257.56206005229
9393428208.58857249951133.4114275005
9491628953.97160666279208.028393337208
9570929061.38806888817-1969.38806888817
9646927667.67595537399-2975.67595537399
9747645580.22080830132-816.220808301319
9838524981.51156057105-1129.51156057105
9994564166.817126310875289.18287368913
10054907777.22271373461-2287.22271373461
10165286164.39281728082363.607182719175
10293066379.066559209862926.93344079014
10390188360.91822125126657.081778748736
10459648777.91573081791-2813.91573081791
10558566801.9793950116-945.9793950116
106205746113.8135247942814460.1864752057
107770416046.7834049381-8342.78340493807
108446410259.2008355848-5795.2008355848
10992586227.942359603973030.05764039603
11062408280.88868156196-2040.88868156196
11193546837.883465543262516.11653445674
112119168536.514619155283379.48538084472
1131302610830.35926049472195.64073950527
1141006212308.0518008555-2246.0518008555
115763810723.6054657848-3085.6054657848
11688448560.36402231109283.635977688915
117134768719.904966638064756.09503336194
1181907411962.79547167997111.20452832009
1191689616829.317570957166.6824290429067
1202116216839.28897857374322.71102142632
1211601419783.4010294836-3769.40102948356
1221374617148.7453763537-3402.74537635375
1231455014766.8651053881-216.865105388126
1241314614581.3565421773-1435.35654217731
1251102213555.8100960946-2533.81009609461
1261038611772.980857531-1386.980857531

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 258 & 78 & 180 \tabularnewline
4 & 282 & 166.093460447601 & 115.906539552399 \tabularnewline
5 & 882 & 210.000369234068 & 671.999630765932 \tabularnewline
6 & 1302 & 637.282367018817 & 664.717632981183 \tabularnewline
7 & 2736 & 1059.54409644756 & 1676.45590355244 \tabularnewline
8 & 2484 & 2179.30639844552 & 304.693601554482 \tabularnewline
9 & 1800 & 2353.36463951851 & -553.364639518509 \tabularnewline
10 & 3468 & 1935.87056725634 & 1532.12943274366 \tabularnewline
11 & 5526 & 2956.13302927179 & 2569.86697072821 \tabularnewline
12 & 5766 & 4691.82016975878 & 1074.17983024122 \tabularnewline
13 & 6162 & 5396.36846019017 & 765.63153980983 \tabularnewline
14 & 6132 & 5888.20105576143 & 243.798944238568 \tabularnewline
15 & 6240 & 6020.27802600608 & 219.721973993925 \tabularnewline
16 & 5904 & 6135.75613761321 & -231.756137613209 \tabularnewline
17 & 5922 & 5939.98157596658 & -17.981575966578 \tabularnewline
18 & 8460 & 5891.58493159994 & 2568.41506840006 \tabularnewline
19 & 7896 & 7626.27111884175 & 269.728881158246 \tabularnewline
20 & 7290 & 7776.2243979839 & -486.224397983902 \tabularnewline
21 & 6552 & 7405.0173529846 & -853.017352984602 \tabularnewline
22 & 8442 & 6780.94026879731 & 1661.05973120269 \tabularnewline
23 & 9570 & 7890.088324659 & 1679.911675341 \tabularnewline
24 & 9312 & 9012.23306376673 & 299.766936233265 \tabularnewline
25 & 6588 & 9182.8948217943 & -2594.8948217943 \tabularnewline
26 & 6084 & 7357.95327771643 & -1273.95327771643 \tabularnewline
27 & 11298 & 6443.67955171423 & 4854.32044828577 \tabularnewline
28 & 9798 & 9754.28745476608 & 43.7125452339205 \tabularnewline
29 & 14400 & 9748.42323811635 & 4651.57676188365 \tabularnewline
30 & 13734 & 12919.2579987819 & 814.742001218146 \tabularnewline
31 & 13482 & 13444.9477449105 & 37.0522550894602 \tabularnewline
32 & 14814 & 13434.4918701963 & 1379.50812980369 \tabularnewline
33 & 13548 & 14349.5359676571 & -801.535967657081 \tabularnewline
34 & 15516 & 13760.9505682138 & 1755.04943178616 \tabularnewline
35 & 15480 & 14934.8958862524 & 545.104113747599 \tabularnewline
36 & 10488 & 15274.6950850255 & -4786.69508502553 \tabularnewline
37 & 14262 & 11938.7086560903 & 2323.29134390971 \tabularnewline
38 & 14946 & 13504.4045588331 & 1441.59544116686 \tabularnewline
39 & 14166 & 14462.2521524992 & -296.252152499153 \tabularnewline
40 & 11544 & 14222.0135148954 & -2678.01351489543 \tabularnewline
41 & 10194 & 12339.769269402 & -2145.769269402 \tabularnewline
42 & 11850 & 10824.4585251675 & 1025.54147483253 \tabularnewline
43 & 12702 & 11495.4751387481 & 1206.52486125195 \tabularnewline
44 & 18222 & 12291.2631673526 & 5930.73683264741 \tabularnewline
45 & 19560 & 16343.9612593929 & 3216.03874060705 \tabularnewline
46 & 19494 & 18525.1244608123 & 968.875539187746 \tabularnewline
47 & 15282 & 19157.0751185947 & -3875.07511859472 \tabularnewline
48 & 11034 & 16449.5668910346 & -5415.56689103462 \tabularnewline
49 & 8772 & 12680.0311366238 & -3908.03113662382 \tabularnewline
50 & 7110 & 9949.80276284258 & -2839.80276284258 \tabularnewline
51 & 6312 & 7956.0196971215 & -1644.0196971215 \tabularnewline
52 & 7080 & 6786.61917901136 & 293.380820988636 \tabularnewline
53 & 7080 & 6952.87829737491 & 127.121702625091 \tabularnewline
54 & 8226 & 7004.51703057901 & 1221.48296942099 \tabularnewline
55 & 7614 & 7810.61730031936 & -196.617300319356 \tabularnewline
56 & 7326 & 7639.0677382055 & -313.0677382055 \tabularnewline
57 & 7422 & 7387.23629938092 & 34.7637006190789 \tabularnewline
58 & 8886 & 7375.2026766464 & 1510.7973233536 \tabularnewline
59 & 7698 & 8380.75860936819 & -682.758609368189 \tabularnewline
60 & 8634 & 7874.05928444102 & 759.940715558982 \tabularnewline
61 & 5460 & 8361.96857960069 & -2901.96857960069 \tabularnewline
62 & 9744 & 6325.32789541813 & 3418.67210458187 \tabularnewline
63 & 12330 & 8646.18818204729 & 3683.81181795271 \tabularnewline
64 & 12870 & 11149.8379383113 & 1720.1620616887 \tabularnewline
65 & 9264 & 12299.7316203426 & -3035.73162034258 \tabularnewline
66 & 9822 & 10170.8736105731 & -348.873610573053 \tabularnewline
67 & 21126 & 9894.35731282384 & 11231.6426871762 \tabularnewline
68 & 13050 & 17601.5429103943 & -4551.54291039432 \tabularnewline
69 & 13938 & 14427.67229858 & -489.672298579997 \tabularnewline
70 & 10764 & 14054.0882429349 & -3290.08824293487 \tabularnewline
71 & 8886 & 11749.8747138029 & -2863.87471380289 \tabularnewline
72 & 10830 & 9739.49624977964 & 1090.50375022036 \tabularnewline
73 & 7308 & 10455.2983830904 & -3147.29838309037 \tabularnewline
74 & 18336 & 8249.52534187468 & 10086.4746581253 \tabularnewline
75 & 17484 & 15167.2228087847 & 2316.77719121527 \tabularnewline
76 & 20082 & 16728.4278018068 & 3353.57219819318 \tabularnewline
77 & 16308 & 19004.4076847772 & -2696.40768477716 \tabularnewline
78 & 18600 & 17109.4823493244 & 1490.51765067564 \tabularnewline
79 & 19794 & 18101.0573111609 & 1692.94268883914 \tabularnewline
80 & 24114 & 19232.1857367026 & 4881.81426329739 \tabularnewline
81 & 24708 & 22561.7480988972 & 2146.25190110277 \tabularnewline
82 & 22482 & 24005.3915733421 & -1523.39157334215 \tabularnewline
83 & 21288 & 22919.1530624936 & -1631.15306249358 \tabularnewline
84 & 15870 & 21758.6229066906 & -5888.62290669063 \tabularnewline
85 & 10734 & 17662.9584969003 & -6928.95849690033 \tabularnewline
86 & 11142 & 12850.0782903549 & -1708.07829035493 \tabularnewline
87 & 13080 & 11636.515258324 & 1443.48474167599 \tabularnewline
88 & 13098 & 12595.66535109 & 502.33464890996 \tabularnewline
89 & 18282 & 12905.9789337899 & 5376.02106621014 \tabularnewline
90 & 15678 & 16576.2514757078 & -898.251475707752 \tabularnewline
91 & 6096 & 15920.9896203036 & -9824.98962030364 \tabularnewline
92 & 7854 & 9111.56206005229 & -1257.56206005229 \tabularnewline
93 & 9342 & 8208.5885724995 & 1133.4114275005 \tabularnewline
94 & 9162 & 8953.97160666279 & 208.028393337208 \tabularnewline
95 & 7092 & 9061.38806888817 & -1969.38806888817 \tabularnewline
96 & 4692 & 7667.67595537399 & -2975.67595537399 \tabularnewline
97 & 4764 & 5580.22080830132 & -816.220808301319 \tabularnewline
98 & 3852 & 4981.51156057105 & -1129.51156057105 \tabularnewline
99 & 9456 & 4166.81712631087 & 5289.18287368913 \tabularnewline
100 & 5490 & 7777.22271373461 & -2287.22271373461 \tabularnewline
101 & 6528 & 6164.39281728082 & 363.607182719175 \tabularnewline
102 & 9306 & 6379.06655920986 & 2926.93344079014 \tabularnewline
103 & 9018 & 8360.91822125126 & 657.081778748736 \tabularnewline
104 & 5964 & 8777.91573081791 & -2813.91573081791 \tabularnewline
105 & 5856 & 6801.9793950116 & -945.9793950116 \tabularnewline
106 & 20574 & 6113.81352479428 & 14460.1864752057 \tabularnewline
107 & 7704 & 16046.7834049381 & -8342.78340493807 \tabularnewline
108 & 4464 & 10259.2008355848 & -5795.2008355848 \tabularnewline
109 & 9258 & 6227.94235960397 & 3030.05764039603 \tabularnewline
110 & 6240 & 8280.88868156196 & -2040.88868156196 \tabularnewline
111 & 9354 & 6837.88346554326 & 2516.11653445674 \tabularnewline
112 & 11916 & 8536.51461915528 & 3379.48538084472 \tabularnewline
113 & 13026 & 10830.3592604947 & 2195.64073950527 \tabularnewline
114 & 10062 & 12308.0518008555 & -2246.0518008555 \tabularnewline
115 & 7638 & 10723.6054657848 & -3085.6054657848 \tabularnewline
116 & 8844 & 8560.36402231109 & 283.635977688915 \tabularnewline
117 & 13476 & 8719.90496663806 & 4756.09503336194 \tabularnewline
118 & 19074 & 11962.7954716799 & 7111.20452832009 \tabularnewline
119 & 16896 & 16829.3175709571 & 66.6824290429067 \tabularnewline
120 & 21162 & 16839.2889785737 & 4322.71102142632 \tabularnewline
121 & 16014 & 19783.4010294836 & -3769.40102948356 \tabularnewline
122 & 13746 & 17148.7453763537 & -3402.74537635375 \tabularnewline
123 & 14550 & 14766.8651053881 & -216.865105388126 \tabularnewline
124 & 13146 & 14581.3565421773 & -1435.35654217731 \tabularnewline
125 & 11022 & 13555.8100960946 & -2533.81009609461 \tabularnewline
126 & 10386 & 11772.980857531 & -1386.980857531 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301536&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]258[/C][C]78[/C][C]180[/C][/ROW]
[ROW][C]4[/C][C]282[/C][C]166.093460447601[/C][C]115.906539552399[/C][/ROW]
[ROW][C]5[/C][C]882[/C][C]210.000369234068[/C][C]671.999630765932[/C][/ROW]
[ROW][C]6[/C][C]1302[/C][C]637.282367018817[/C][C]664.717632981183[/C][/ROW]
[ROW][C]7[/C][C]2736[/C][C]1059.54409644756[/C][C]1676.45590355244[/C][/ROW]
[ROW][C]8[/C][C]2484[/C][C]2179.30639844552[/C][C]304.693601554482[/C][/ROW]
[ROW][C]9[/C][C]1800[/C][C]2353.36463951851[/C][C]-553.364639518509[/C][/ROW]
[ROW][C]10[/C][C]3468[/C][C]1935.87056725634[/C][C]1532.12943274366[/C][/ROW]
[ROW][C]11[/C][C]5526[/C][C]2956.13302927179[/C][C]2569.86697072821[/C][/ROW]
[ROW][C]12[/C][C]5766[/C][C]4691.82016975878[/C][C]1074.17983024122[/C][/ROW]
[ROW][C]13[/C][C]6162[/C][C]5396.36846019017[/C][C]765.63153980983[/C][/ROW]
[ROW][C]14[/C][C]6132[/C][C]5888.20105576143[/C][C]243.798944238568[/C][/ROW]
[ROW][C]15[/C][C]6240[/C][C]6020.27802600608[/C][C]219.721973993925[/C][/ROW]
[ROW][C]16[/C][C]5904[/C][C]6135.75613761321[/C][C]-231.756137613209[/C][/ROW]
[ROW][C]17[/C][C]5922[/C][C]5939.98157596658[/C][C]-17.981575966578[/C][/ROW]
[ROW][C]18[/C][C]8460[/C][C]5891.58493159994[/C][C]2568.41506840006[/C][/ROW]
[ROW][C]19[/C][C]7896[/C][C]7626.27111884175[/C][C]269.728881158246[/C][/ROW]
[ROW][C]20[/C][C]7290[/C][C]7776.2243979839[/C][C]-486.224397983902[/C][/ROW]
[ROW][C]21[/C][C]6552[/C][C]7405.0173529846[/C][C]-853.017352984602[/C][/ROW]
[ROW][C]22[/C][C]8442[/C][C]6780.94026879731[/C][C]1661.05973120269[/C][/ROW]
[ROW][C]23[/C][C]9570[/C][C]7890.088324659[/C][C]1679.911675341[/C][/ROW]
[ROW][C]24[/C][C]9312[/C][C]9012.23306376673[/C][C]299.766936233265[/C][/ROW]
[ROW][C]25[/C][C]6588[/C][C]9182.8948217943[/C][C]-2594.8948217943[/C][/ROW]
[ROW][C]26[/C][C]6084[/C][C]7357.95327771643[/C][C]-1273.95327771643[/C][/ROW]
[ROW][C]27[/C][C]11298[/C][C]6443.67955171423[/C][C]4854.32044828577[/C][/ROW]
[ROW][C]28[/C][C]9798[/C][C]9754.28745476608[/C][C]43.7125452339205[/C][/ROW]
[ROW][C]29[/C][C]14400[/C][C]9748.42323811635[/C][C]4651.57676188365[/C][/ROW]
[ROW][C]30[/C][C]13734[/C][C]12919.2579987819[/C][C]814.742001218146[/C][/ROW]
[ROW][C]31[/C][C]13482[/C][C]13444.9477449105[/C][C]37.0522550894602[/C][/ROW]
[ROW][C]32[/C][C]14814[/C][C]13434.4918701963[/C][C]1379.50812980369[/C][/ROW]
[ROW][C]33[/C][C]13548[/C][C]14349.5359676571[/C][C]-801.535967657081[/C][/ROW]
[ROW][C]34[/C][C]15516[/C][C]13760.9505682138[/C][C]1755.04943178616[/C][/ROW]
[ROW][C]35[/C][C]15480[/C][C]14934.8958862524[/C][C]545.104113747599[/C][/ROW]
[ROW][C]36[/C][C]10488[/C][C]15274.6950850255[/C][C]-4786.69508502553[/C][/ROW]
[ROW][C]37[/C][C]14262[/C][C]11938.7086560903[/C][C]2323.29134390971[/C][/ROW]
[ROW][C]38[/C][C]14946[/C][C]13504.4045588331[/C][C]1441.59544116686[/C][/ROW]
[ROW][C]39[/C][C]14166[/C][C]14462.2521524992[/C][C]-296.252152499153[/C][/ROW]
[ROW][C]40[/C][C]11544[/C][C]14222.0135148954[/C][C]-2678.01351489543[/C][/ROW]
[ROW][C]41[/C][C]10194[/C][C]12339.769269402[/C][C]-2145.769269402[/C][/ROW]
[ROW][C]42[/C][C]11850[/C][C]10824.4585251675[/C][C]1025.54147483253[/C][/ROW]
[ROW][C]43[/C][C]12702[/C][C]11495.4751387481[/C][C]1206.52486125195[/C][/ROW]
[ROW][C]44[/C][C]18222[/C][C]12291.2631673526[/C][C]5930.73683264741[/C][/ROW]
[ROW][C]45[/C][C]19560[/C][C]16343.9612593929[/C][C]3216.03874060705[/C][/ROW]
[ROW][C]46[/C][C]19494[/C][C]18525.1244608123[/C][C]968.875539187746[/C][/ROW]
[ROW][C]47[/C][C]15282[/C][C]19157.0751185947[/C][C]-3875.07511859472[/C][/ROW]
[ROW][C]48[/C][C]11034[/C][C]16449.5668910346[/C][C]-5415.56689103462[/C][/ROW]
[ROW][C]49[/C][C]8772[/C][C]12680.0311366238[/C][C]-3908.03113662382[/C][/ROW]
[ROW][C]50[/C][C]7110[/C][C]9949.80276284258[/C][C]-2839.80276284258[/C][/ROW]
[ROW][C]51[/C][C]6312[/C][C]7956.0196971215[/C][C]-1644.0196971215[/C][/ROW]
[ROW][C]52[/C][C]7080[/C][C]6786.61917901136[/C][C]293.380820988636[/C][/ROW]
[ROW][C]53[/C][C]7080[/C][C]6952.87829737491[/C][C]127.121702625091[/C][/ROW]
[ROW][C]54[/C][C]8226[/C][C]7004.51703057901[/C][C]1221.48296942099[/C][/ROW]
[ROW][C]55[/C][C]7614[/C][C]7810.61730031936[/C][C]-196.617300319356[/C][/ROW]
[ROW][C]56[/C][C]7326[/C][C]7639.0677382055[/C][C]-313.0677382055[/C][/ROW]
[ROW][C]57[/C][C]7422[/C][C]7387.23629938092[/C][C]34.7637006190789[/C][/ROW]
[ROW][C]58[/C][C]8886[/C][C]7375.2026766464[/C][C]1510.7973233536[/C][/ROW]
[ROW][C]59[/C][C]7698[/C][C]8380.75860936819[/C][C]-682.758609368189[/C][/ROW]
[ROW][C]60[/C][C]8634[/C][C]7874.05928444102[/C][C]759.940715558982[/C][/ROW]
[ROW][C]61[/C][C]5460[/C][C]8361.96857960069[/C][C]-2901.96857960069[/C][/ROW]
[ROW][C]62[/C][C]9744[/C][C]6325.32789541813[/C][C]3418.67210458187[/C][/ROW]
[ROW][C]63[/C][C]12330[/C][C]8646.18818204729[/C][C]3683.81181795271[/C][/ROW]
[ROW][C]64[/C][C]12870[/C][C]11149.8379383113[/C][C]1720.1620616887[/C][/ROW]
[ROW][C]65[/C][C]9264[/C][C]12299.7316203426[/C][C]-3035.73162034258[/C][/ROW]
[ROW][C]66[/C][C]9822[/C][C]10170.8736105731[/C][C]-348.873610573053[/C][/ROW]
[ROW][C]67[/C][C]21126[/C][C]9894.35731282384[/C][C]11231.6426871762[/C][/ROW]
[ROW][C]68[/C][C]13050[/C][C]17601.5429103943[/C][C]-4551.54291039432[/C][/ROW]
[ROW][C]69[/C][C]13938[/C][C]14427.67229858[/C][C]-489.672298579997[/C][/ROW]
[ROW][C]70[/C][C]10764[/C][C]14054.0882429349[/C][C]-3290.08824293487[/C][/ROW]
[ROW][C]71[/C][C]8886[/C][C]11749.8747138029[/C][C]-2863.87471380289[/C][/ROW]
[ROW][C]72[/C][C]10830[/C][C]9739.49624977964[/C][C]1090.50375022036[/C][/ROW]
[ROW][C]73[/C][C]7308[/C][C]10455.2983830904[/C][C]-3147.29838309037[/C][/ROW]
[ROW][C]74[/C][C]18336[/C][C]8249.52534187468[/C][C]10086.4746581253[/C][/ROW]
[ROW][C]75[/C][C]17484[/C][C]15167.2228087847[/C][C]2316.77719121527[/C][/ROW]
[ROW][C]76[/C][C]20082[/C][C]16728.4278018068[/C][C]3353.57219819318[/C][/ROW]
[ROW][C]77[/C][C]16308[/C][C]19004.4076847772[/C][C]-2696.40768477716[/C][/ROW]
[ROW][C]78[/C][C]18600[/C][C]17109.4823493244[/C][C]1490.51765067564[/C][/ROW]
[ROW][C]79[/C][C]19794[/C][C]18101.0573111609[/C][C]1692.94268883914[/C][/ROW]
[ROW][C]80[/C][C]24114[/C][C]19232.1857367026[/C][C]4881.81426329739[/C][/ROW]
[ROW][C]81[/C][C]24708[/C][C]22561.7480988972[/C][C]2146.25190110277[/C][/ROW]
[ROW][C]82[/C][C]22482[/C][C]24005.3915733421[/C][C]-1523.39157334215[/C][/ROW]
[ROW][C]83[/C][C]21288[/C][C]22919.1530624936[/C][C]-1631.15306249358[/C][/ROW]
[ROW][C]84[/C][C]15870[/C][C]21758.6229066906[/C][C]-5888.62290669063[/C][/ROW]
[ROW][C]85[/C][C]10734[/C][C]17662.9584969003[/C][C]-6928.95849690033[/C][/ROW]
[ROW][C]86[/C][C]11142[/C][C]12850.0782903549[/C][C]-1708.07829035493[/C][/ROW]
[ROW][C]87[/C][C]13080[/C][C]11636.515258324[/C][C]1443.48474167599[/C][/ROW]
[ROW][C]88[/C][C]13098[/C][C]12595.66535109[/C][C]502.33464890996[/C][/ROW]
[ROW][C]89[/C][C]18282[/C][C]12905.9789337899[/C][C]5376.02106621014[/C][/ROW]
[ROW][C]90[/C][C]15678[/C][C]16576.2514757078[/C][C]-898.251475707752[/C][/ROW]
[ROW][C]91[/C][C]6096[/C][C]15920.9896203036[/C][C]-9824.98962030364[/C][/ROW]
[ROW][C]92[/C][C]7854[/C][C]9111.56206005229[/C][C]-1257.56206005229[/C][/ROW]
[ROW][C]93[/C][C]9342[/C][C]8208.5885724995[/C][C]1133.4114275005[/C][/ROW]
[ROW][C]94[/C][C]9162[/C][C]8953.97160666279[/C][C]208.028393337208[/C][/ROW]
[ROW][C]95[/C][C]7092[/C][C]9061.38806888817[/C][C]-1969.38806888817[/C][/ROW]
[ROW][C]96[/C][C]4692[/C][C]7667.67595537399[/C][C]-2975.67595537399[/C][/ROW]
[ROW][C]97[/C][C]4764[/C][C]5580.22080830132[/C][C]-816.220808301319[/C][/ROW]
[ROW][C]98[/C][C]3852[/C][C]4981.51156057105[/C][C]-1129.51156057105[/C][/ROW]
[ROW][C]99[/C][C]9456[/C][C]4166.81712631087[/C][C]5289.18287368913[/C][/ROW]
[ROW][C]100[/C][C]5490[/C][C]7777.22271373461[/C][C]-2287.22271373461[/C][/ROW]
[ROW][C]101[/C][C]6528[/C][C]6164.39281728082[/C][C]363.607182719175[/C][/ROW]
[ROW][C]102[/C][C]9306[/C][C]6379.06655920986[/C][C]2926.93344079014[/C][/ROW]
[ROW][C]103[/C][C]9018[/C][C]8360.91822125126[/C][C]657.081778748736[/C][/ROW]
[ROW][C]104[/C][C]5964[/C][C]8777.91573081791[/C][C]-2813.91573081791[/C][/ROW]
[ROW][C]105[/C][C]5856[/C][C]6801.9793950116[/C][C]-945.9793950116[/C][/ROW]
[ROW][C]106[/C][C]20574[/C][C]6113.81352479428[/C][C]14460.1864752057[/C][/ROW]
[ROW][C]107[/C][C]7704[/C][C]16046.7834049381[/C][C]-8342.78340493807[/C][/ROW]
[ROW][C]108[/C][C]4464[/C][C]10259.2008355848[/C][C]-5795.2008355848[/C][/ROW]
[ROW][C]109[/C][C]9258[/C][C]6227.94235960397[/C][C]3030.05764039603[/C][/ROW]
[ROW][C]110[/C][C]6240[/C][C]8280.88868156196[/C][C]-2040.88868156196[/C][/ROW]
[ROW][C]111[/C][C]9354[/C][C]6837.88346554326[/C][C]2516.11653445674[/C][/ROW]
[ROW][C]112[/C][C]11916[/C][C]8536.51461915528[/C][C]3379.48538084472[/C][/ROW]
[ROW][C]113[/C][C]13026[/C][C]10830.3592604947[/C][C]2195.64073950527[/C][/ROW]
[ROW][C]114[/C][C]10062[/C][C]12308.0518008555[/C][C]-2246.0518008555[/C][/ROW]
[ROW][C]115[/C][C]7638[/C][C]10723.6054657848[/C][C]-3085.6054657848[/C][/ROW]
[ROW][C]116[/C][C]8844[/C][C]8560.36402231109[/C][C]283.635977688915[/C][/ROW]
[ROW][C]117[/C][C]13476[/C][C]8719.90496663806[/C][C]4756.09503336194[/C][/ROW]
[ROW][C]118[/C][C]19074[/C][C]11962.7954716799[/C][C]7111.20452832009[/C][/ROW]
[ROW][C]119[/C][C]16896[/C][C]16829.3175709571[/C][C]66.6824290429067[/C][/ROW]
[ROW][C]120[/C][C]21162[/C][C]16839.2889785737[/C][C]4322.71102142632[/C][/ROW]
[ROW][C]121[/C][C]16014[/C][C]19783.4010294836[/C][C]-3769.40102948356[/C][/ROW]
[ROW][C]122[/C][C]13746[/C][C]17148.7453763537[/C][C]-3402.74537635375[/C][/ROW]
[ROW][C]123[/C][C]14550[/C][C]14766.8651053881[/C][C]-216.865105388126[/C][/ROW]
[ROW][C]124[/C][C]13146[/C][C]14581.3565421773[/C][C]-1435.35654217731[/C][/ROW]
[ROW][C]125[/C][C]11022[/C][C]13555.8100960946[/C][C]-2533.81009609461[/C][/ROW]
[ROW][C]126[/C][C]10386[/C][C]11772.980857531[/C][C]-1386.980857531[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301536&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301536&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
325878180
4282166.093460447601115.906539552399
5882210.000369234068671.999630765932
61302637.282367018817664.717632981183
727361059.544096447561676.45590355244
824842179.30639844552304.693601554482
918002353.36463951851-553.364639518509
1034681935.870567256341532.12943274366
1155262956.133029271792569.86697072821
1257664691.820169758781074.17983024122
1361625396.36846019017765.63153980983
1461325888.20105576143243.798944238568
1562406020.27802600608219.721973993925
1659046135.75613761321-231.756137613209
1759225939.98157596658-17.981575966578
1884605891.584931599942568.41506840006
1978967626.27111884175269.728881158246
2072907776.2243979839-486.224397983902
2165527405.0173529846-853.017352984602
2284426780.940268797311661.05973120269
2395707890.0883246591679.911675341
2493129012.23306376673299.766936233265
2565889182.8948217943-2594.8948217943
2660847357.95327771643-1273.95327771643
27112986443.679551714234854.32044828577
2897989754.2874547660843.7125452339205
29144009748.423238116354651.57676188365
301373412919.2579987819814.742001218146
311348213444.947744910537.0522550894602
321481413434.49187019631379.50812980369
331354814349.5359676571-801.535967657081
341551613760.95056821381755.04943178616
351548014934.8958862524545.104113747599
361048815274.6950850255-4786.69508502553
371426211938.70865609032323.29134390971
381494613504.40455883311441.59544116686
391416614462.2521524992-296.252152499153
401154414222.0135148954-2678.01351489543
411019412339.769269402-2145.769269402
421185010824.45852516751025.54147483253
431270211495.47513874811206.52486125195
441822212291.26316735265930.73683264741
451956016343.96125939293216.03874060705
461949418525.1244608123968.875539187746
471528219157.0751185947-3875.07511859472
481103416449.5668910346-5415.56689103462
49877212680.0311366238-3908.03113662382
5071109949.80276284258-2839.80276284258
5163127956.0196971215-1644.0196971215
5270806786.61917901136293.380820988636
5370806952.87829737491127.121702625091
5482267004.517030579011221.48296942099
5576147810.61730031936-196.617300319356
5673267639.0677382055-313.0677382055
5774227387.2362993809234.7637006190789
5888867375.20267664641510.7973233536
5976988380.75860936819-682.758609368189
6086347874.05928444102759.940715558982
6154608361.96857960069-2901.96857960069
6297446325.327895418133418.67210458187
63123308646.188182047293683.81181795271
641287011149.83793831131720.1620616887
65926412299.7316203426-3035.73162034258
66982210170.8736105731-348.873610573053
67211269894.3573128238411231.6426871762
681305017601.5429103943-4551.54291039432
691393814427.67229858-489.672298579997
701076414054.0882429349-3290.08824293487
71888611749.8747138029-2863.87471380289
72108309739.496249779641090.50375022036
73730810455.2983830904-3147.29838309037
74183368249.5253418746810086.4746581253
751748415167.22280878472316.77719121527
762008216728.42780180683353.57219819318
771630819004.4076847772-2696.40768477716
781860017109.48234932441490.51765067564
791979418101.05731116091692.94268883914
802411419232.18573670264881.81426329739
812470822561.74809889722146.25190110277
822248224005.3915733421-1523.39157334215
832128822919.1530624936-1631.15306249358
841587021758.6229066906-5888.62290669063
851073417662.9584969003-6928.95849690033
861114212850.0782903549-1708.07829035493
871308011636.5152583241443.48474167599
881309812595.66535109502.33464890996
891828212905.97893378995376.02106621014
901567816576.2514757078-898.251475707752
91609615920.9896203036-9824.98962030364
9278549111.56206005229-1257.56206005229
9393428208.58857249951133.4114275005
9491628953.97160666279208.028393337208
9570929061.38806888817-1969.38806888817
9646927667.67595537399-2975.67595537399
9747645580.22080830132-816.220808301319
9838524981.51156057105-1129.51156057105
9994564166.817126310875289.18287368913
10054907777.22271373461-2287.22271373461
10165286164.39281728082363.607182719175
10293066379.066559209862926.93344079014
10390188360.91822125126657.081778748736
10459648777.91573081791-2813.91573081791
10558566801.9793950116-945.9793950116
106205746113.8135247942814460.1864752057
107770416046.7834049381-8342.78340493807
108446410259.2008355848-5795.2008355848
10992586227.942359603973030.05764039603
11062408280.88868156196-2040.88868156196
11193546837.883465543262516.11653445674
112119168536.514619155283379.48538084472
1131302610830.35926049472195.64073950527
1141006212308.0518008555-2246.0518008555
115763810723.6054657848-3085.6054657848
11688448560.36402231109283.635977688915
117134768719.904966638064756.09503336194
1181907411962.79547167997111.20452832009
1191689616829.317570957166.6824290429067
1202116216839.28897857374322.71102142632
1211601419783.4010294836-3769.40102948356
1221374617148.7453763537-3402.74537635375
1231455014766.8651053881-216.865105388126
1241314614581.3565421773-1435.35654217731
1251102213555.8100960946-2533.81009609461
1261038611772.980857531-1386.980857531







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12710780.78500094434139.1072339254717422.4627679632
12810744.78500094432677.7201041704818811.8498977182
12910708.78500094431432.8382278861219984.7317740025
13010672.7850009443328.27722993573321017.2927719529
13110636.7850009443-675.7962037279921949.3662056166
13210600.7850009443-1603.3186531612722804.8886550499
13310564.7850009443-2470.0068458018923599.5768476905
13410528.7850009443-3286.8384368832224344.4084387719
13510492.7850009443-4061.839812622625047.4098145112
13610456.7850009443-4801.0902099605725714.6602118492
13710420.7850009443-5509.3251191833626350.895121072
13810384.7850009443-6190.3186466122326959.8886485009

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 10780.7850009443 & 4139.10723392547 & 17422.4627679632 \tabularnewline
128 & 10744.7850009443 & 2677.72010417048 & 18811.8498977182 \tabularnewline
129 & 10708.7850009443 & 1432.83822788612 & 19984.7317740025 \tabularnewline
130 & 10672.7850009443 & 328.277229935733 & 21017.2927719529 \tabularnewline
131 & 10636.7850009443 & -675.79620372799 & 21949.3662056166 \tabularnewline
132 & 10600.7850009443 & -1603.31865316127 & 22804.8886550499 \tabularnewline
133 & 10564.7850009443 & -2470.00684580189 & 23599.5768476905 \tabularnewline
134 & 10528.7850009443 & -3286.83843688322 & 24344.4084387719 \tabularnewline
135 & 10492.7850009443 & -4061.8398126226 & 25047.4098145112 \tabularnewline
136 & 10456.7850009443 & -4801.09020996057 & 25714.6602118492 \tabularnewline
137 & 10420.7850009443 & -5509.32511918336 & 26350.895121072 \tabularnewline
138 & 10384.7850009443 & -6190.31864661223 & 26959.8886485009 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301536&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]127[/C][C]10780.7850009443[/C][C]4139.10723392547[/C][C]17422.4627679632[/C][/ROW]
[ROW][C]128[/C][C]10744.7850009443[/C][C]2677.72010417048[/C][C]18811.8498977182[/C][/ROW]
[ROW][C]129[/C][C]10708.7850009443[/C][C]1432.83822788612[/C][C]19984.7317740025[/C][/ROW]
[ROW][C]130[/C][C]10672.7850009443[/C][C]328.277229935733[/C][C]21017.2927719529[/C][/ROW]
[ROW][C]131[/C][C]10636.7850009443[/C][C]-675.79620372799[/C][C]21949.3662056166[/C][/ROW]
[ROW][C]132[/C][C]10600.7850009443[/C][C]-1603.31865316127[/C][C]22804.8886550499[/C][/ROW]
[ROW][C]133[/C][C]10564.7850009443[/C][C]-2470.00684580189[/C][C]23599.5768476905[/C][/ROW]
[ROW][C]134[/C][C]10528.7850009443[/C][C]-3286.83843688322[/C][C]24344.4084387719[/C][/ROW]
[ROW][C]135[/C][C]10492.7850009443[/C][C]-4061.8398126226[/C][C]25047.4098145112[/C][/ROW]
[ROW][C]136[/C][C]10456.7850009443[/C][C]-4801.09020996057[/C][C]25714.6602118492[/C][/ROW]
[ROW][C]137[/C][C]10420.7850009443[/C][C]-5509.32511918336[/C][C]26350.895121072[/C][/ROW]
[ROW][C]138[/C][C]10384.7850009443[/C][C]-6190.31864661223[/C][C]26959.8886485009[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301536&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301536&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
12710780.78500094434139.1072339254717422.4627679632
12810744.78500094432677.7201041704818811.8498977182
12910708.78500094431432.8382278861219984.7317740025
13010672.7850009443328.27722993573321017.2927719529
13110636.7850009443-675.7962037279921949.3662056166
13210600.7850009443-1603.3186531612722804.8886550499
13310564.7850009443-2470.0068458018923599.5768476905
13410528.7850009443-3286.8384368832224344.4084387719
13510492.7850009443-4061.839812622625047.4098145112
13610456.7850009443-4801.0902099605725714.6602118492
13710420.7850009443-5509.3251191833626350.895121072
13810384.7850009443-6190.3186466122326959.8886485009



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')