Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 30 Jul 2017 03:54:11 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Jul/30/t15013796995fmddpxyh6e3vde.htm/, Retrieved Wed, 15 May 2024 15:16:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=306811, Retrieved Wed, 15 May 2024 15:16:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact125
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Reeks A stap 32] [2017-07-30 01:54:11] [5e513ceaaef205c0c6f269c0b513af8d] [Current]
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Dataseries X:
6195800
6172725
6149325
6100900
6579950
6554600
6195800
5957250
5980325
5980325
6006000
6052150
6123975
6123975
6077825
5957250
6579950
6674850
6531525
6195800
6339450
6123975
6221150
6267625
6316050
6195800
6221150
6052150
6579950
6746675
6603350
6339450
6626425
6316050
6603350
6579950
6651775
6387875
6674850
6651775
7082400
6985225
6603350
6410950
6674850
6316050
6579950
6626425
6723600
6508450
6626425
6698250
6962150
6746675
6459700
6149325
6436625
5646875
6029075
6244225
6459700
6149325
6149325
6149325
6316050
6077825
5765175
5503550
5693350
4952350
5406375
5670275
5718700
5454800
5477875
5406375
5646875
5477875
5144750
4903925
5311150
4426825
5001100
5262725
5262725
4952350
4665375
4642300
4903925
4665375
4211675
3899025
4234750
3445325
4162925
4544800
4665375
4401475
4068025
4306575
4401475
4329650
3611725
3278600
3516825
2799225
3540225
3804125
4019275
3660475
3324750
3516825
3611725
3421925
2704325
2391675
2678650
1889225
2750475
3278600




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=306811&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=306811&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306811&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
alpha0.659004759562594
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.659004759562594 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306811&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]0.659004759562594[/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=306811&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306811&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
alpha0.659004759562594
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
361493256149650-325
461009006126360.82345314-25460.8234531423
565799506086507.01961514493442.980384861
665546006388613.29226151165986.707738486
761958006474924.3226853-279124.322685301
859572506267905.065526-310655.065526003
959803256040106.89876214-59781.8987621376
1059803255977635.34294222689.65705780033
1160060005956332.8397448849667.1602551183
1260521505965988.7347469686161.2652530372
1361239755999694.41863865124280.581361351
1461239756058520.9132769965454.0867230147
1560778256078580.46796027-755.467960274778
1659572506055007.61097876-97757.610978757
1765799505967509.88006029612440.119939712
1866748506348035.83404764326814.165952356
1965315256540332.92490273-8807.92490272596
2061958006511453.46046996-315653.460469959
2163394506280361.3276478559088.6723521473
2261239756296226.04396415-172251.043964152
2362211506159636.7861521561513.2138478495
2462676256177099.2868538790525.7131461259
2563160506213681.16267997102368.837320031
2661958006258067.71370476-62267.7137047583
2762211506193957.9940062427192.0059937583
2860521506188802.65537818-136652.655378183
2965799506075672.90507709504277.094922906
3067466756384918.91076969361756.089230313
3166033506600242.895373213107.10462678596
3263394506579215.49211073-239765.492110725
3366264256398133.89163089228291.10836911
3463160506525503.81861195-209453.818611953
3566033506364397.75523812238952.244761884
3665799506498793.4218443681156.5781556368
3766517756529200.99311874122574.006881258
3863878756586902.84705215-199027.847052149
3966748506432667.54855929242182.451440713
4066517756569191.9367412582583.0632587466
4170824006600539.56848803481860.431511974
4269852256895012.886299390212.1137006972
4366033506931388.09859826-328038.098598264
4464109506692134.43030415-281184.430304145
4566748506483757.55241882191092.447581183
4663160506586613.38489128-270563.384891282
4765799506385235.82648456194714.173515439
4866264256490478.39358553135946.606414468
4967236006556992.85425905166607.14574095
5065084506643712.75627947-135262.756279474
5166264256531498.9560997494926.0439002551
5266982506570980.67083646127269.329163539
5369621506631776.76450157330373.235498428
5467466756826419.29912713-79744.2991271298
5564597006750792.42645437-291092.426454368
5661493256535886.13194831-386561.131948315
5764366256258065.50613247178559.493867529
5856468756352662.06245626-705787.062456261
5960290755864470.02905988164604.970940117
6062442255949870.48835708294354.511642917
6164597006120776.51252849338923.487471512
6261493256321053.70389977-171728.703899767
6361493256184808.67067631-35483.6706763059
6461493256138349.7628138710975.2371861311
6563160506122507.49635686193542.503643142
6660778256226977.92743535-149152.92743535
6757651756105610.43835276-340435.43835276
6855035505858186.86415451-354636.864154513
6956933505601404.4827603491945.5172396637
7049523505638922.01624172-686572.016241719
7154063755163392.78975594242982.21024406
7256702755300444.22279581369830.777204186
7357187005521089.46520611197610.534793894
7454548005628240.74817499-173440.748174991
7554778755490867.46962557-12992.4696255745
7654063755459230.37030385-52855.3703038488
7756468755401323.42970517245551.570294831
7854778755540068.08324753-62193.0832475312
7951447505476007.54537554-331257.545375535
8049039255234632.24633204-330707.246332035
8153111504993619.59697738317530.403022615
8244268255179798.64387512-752973.643875116
8350011004660510.42873622340589.571263775
8452627254861885.57725644400839.422743564
8552627255102965.66466477159759.335335232
8649523505185172.82703524-232822.827035243
8746653755008666.4758842-343291.475884199
8846423004759360.75935924-117060.759359244
8949039254659142.16178349244782.83821651
9046653754797380.21722741-132005.217227411
9142116754687313.15078745-475638.150787453
9238990254350790.34558897-451765.345588971
9342347504029999.8326404204750.167359601
9434453254141856.16745161-696531.167451614
9541629253659763.81291731503161.18708269
9645448003968274.43003197576525.569968033
9746653754325132.52465044340242.475349562
9844014754526278.93531116-124803.935311158
9940680254420957.54792896-352932.547928963
10043065754165298.31903922141276.680960777
10144014754235325.32420758166149.675792419
10243296504321743.751354577906.24864543322
10336117254303879.00684219-692154.006842192
10432786003824671.22198287-546071.221982867
10535168253441732.68763675092.3123640036
10627992253468143.87889044-668918.878890436
10735402253004248.15394036535976.846059636
10838041253334384.44650901469740.553490988
10940192753620870.70701914398404.29298086
11036604753860346.0323237-199871.032323697
11133247503705555.07072369-380805.070723691
11235168253431527.7166512185297.2833487913
11336117253464664.03235582147060.967644178
11434219253538502.90997922-116577.909979216
11527043253438602.51244305-734277.512443053
11623916752931635.1369033-539960.136903299
11726786502552723.83670995125926.163290045
11818892252612634.77767155-723409.777671551
11927504752112829.29107188637645.708928119
12032786002509965.84817018768634.151829824

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 6149325 & 6149650 & -325 \tabularnewline
4 & 6100900 & 6126360.82345314 & -25460.8234531423 \tabularnewline
5 & 6579950 & 6086507.01961514 & 493442.980384861 \tabularnewline
6 & 6554600 & 6388613.29226151 & 165986.707738486 \tabularnewline
7 & 6195800 & 6474924.3226853 & -279124.322685301 \tabularnewline
8 & 5957250 & 6267905.065526 & -310655.065526003 \tabularnewline
9 & 5980325 & 6040106.89876214 & -59781.8987621376 \tabularnewline
10 & 5980325 & 5977635.3429422 & 2689.65705780033 \tabularnewline
11 & 6006000 & 5956332.83974488 & 49667.1602551183 \tabularnewline
12 & 6052150 & 5965988.73474696 & 86161.2652530372 \tabularnewline
13 & 6123975 & 5999694.41863865 & 124280.581361351 \tabularnewline
14 & 6123975 & 6058520.91327699 & 65454.0867230147 \tabularnewline
15 & 6077825 & 6078580.46796027 & -755.467960274778 \tabularnewline
16 & 5957250 & 6055007.61097876 & -97757.610978757 \tabularnewline
17 & 6579950 & 5967509.88006029 & 612440.119939712 \tabularnewline
18 & 6674850 & 6348035.83404764 & 326814.165952356 \tabularnewline
19 & 6531525 & 6540332.92490273 & -8807.92490272596 \tabularnewline
20 & 6195800 & 6511453.46046996 & -315653.460469959 \tabularnewline
21 & 6339450 & 6280361.32764785 & 59088.6723521473 \tabularnewline
22 & 6123975 & 6296226.04396415 & -172251.043964152 \tabularnewline
23 & 6221150 & 6159636.78615215 & 61513.2138478495 \tabularnewline
24 & 6267625 & 6177099.28685387 & 90525.7131461259 \tabularnewline
25 & 6316050 & 6213681.16267997 & 102368.837320031 \tabularnewline
26 & 6195800 & 6258067.71370476 & -62267.7137047583 \tabularnewline
27 & 6221150 & 6193957.99400624 & 27192.0059937583 \tabularnewline
28 & 6052150 & 6188802.65537818 & -136652.655378183 \tabularnewline
29 & 6579950 & 6075672.90507709 & 504277.094922906 \tabularnewline
30 & 6746675 & 6384918.91076969 & 361756.089230313 \tabularnewline
31 & 6603350 & 6600242.89537321 & 3107.10462678596 \tabularnewline
32 & 6339450 & 6579215.49211073 & -239765.492110725 \tabularnewline
33 & 6626425 & 6398133.89163089 & 228291.10836911 \tabularnewline
34 & 6316050 & 6525503.81861195 & -209453.818611953 \tabularnewline
35 & 6603350 & 6364397.75523812 & 238952.244761884 \tabularnewline
36 & 6579950 & 6498793.42184436 & 81156.5781556368 \tabularnewline
37 & 6651775 & 6529200.99311874 & 122574.006881258 \tabularnewline
38 & 6387875 & 6586902.84705215 & -199027.847052149 \tabularnewline
39 & 6674850 & 6432667.54855929 & 242182.451440713 \tabularnewline
40 & 6651775 & 6569191.93674125 & 82583.0632587466 \tabularnewline
41 & 7082400 & 6600539.56848803 & 481860.431511974 \tabularnewline
42 & 6985225 & 6895012.8862993 & 90212.1137006972 \tabularnewline
43 & 6603350 & 6931388.09859826 & -328038.098598264 \tabularnewline
44 & 6410950 & 6692134.43030415 & -281184.430304145 \tabularnewline
45 & 6674850 & 6483757.55241882 & 191092.447581183 \tabularnewline
46 & 6316050 & 6586613.38489128 & -270563.384891282 \tabularnewline
47 & 6579950 & 6385235.82648456 & 194714.173515439 \tabularnewline
48 & 6626425 & 6490478.39358553 & 135946.606414468 \tabularnewline
49 & 6723600 & 6556992.85425905 & 166607.14574095 \tabularnewline
50 & 6508450 & 6643712.75627947 & -135262.756279474 \tabularnewline
51 & 6626425 & 6531498.95609974 & 94926.0439002551 \tabularnewline
52 & 6698250 & 6570980.67083646 & 127269.329163539 \tabularnewline
53 & 6962150 & 6631776.76450157 & 330373.235498428 \tabularnewline
54 & 6746675 & 6826419.29912713 & -79744.2991271298 \tabularnewline
55 & 6459700 & 6750792.42645437 & -291092.426454368 \tabularnewline
56 & 6149325 & 6535886.13194831 & -386561.131948315 \tabularnewline
57 & 6436625 & 6258065.50613247 & 178559.493867529 \tabularnewline
58 & 5646875 & 6352662.06245626 & -705787.062456261 \tabularnewline
59 & 6029075 & 5864470.02905988 & 164604.970940117 \tabularnewline
60 & 6244225 & 5949870.48835708 & 294354.511642917 \tabularnewline
61 & 6459700 & 6120776.51252849 & 338923.487471512 \tabularnewline
62 & 6149325 & 6321053.70389977 & -171728.703899767 \tabularnewline
63 & 6149325 & 6184808.67067631 & -35483.6706763059 \tabularnewline
64 & 6149325 & 6138349.76281387 & 10975.2371861311 \tabularnewline
65 & 6316050 & 6122507.49635686 & 193542.503643142 \tabularnewline
66 & 6077825 & 6226977.92743535 & -149152.92743535 \tabularnewline
67 & 5765175 & 6105610.43835276 & -340435.43835276 \tabularnewline
68 & 5503550 & 5858186.86415451 & -354636.864154513 \tabularnewline
69 & 5693350 & 5601404.48276034 & 91945.5172396637 \tabularnewline
70 & 4952350 & 5638922.01624172 & -686572.016241719 \tabularnewline
71 & 5406375 & 5163392.78975594 & 242982.21024406 \tabularnewline
72 & 5670275 & 5300444.22279581 & 369830.777204186 \tabularnewline
73 & 5718700 & 5521089.46520611 & 197610.534793894 \tabularnewline
74 & 5454800 & 5628240.74817499 & -173440.748174991 \tabularnewline
75 & 5477875 & 5490867.46962557 & -12992.4696255745 \tabularnewline
76 & 5406375 & 5459230.37030385 & -52855.3703038488 \tabularnewline
77 & 5646875 & 5401323.42970517 & 245551.570294831 \tabularnewline
78 & 5477875 & 5540068.08324753 & -62193.0832475312 \tabularnewline
79 & 5144750 & 5476007.54537554 & -331257.545375535 \tabularnewline
80 & 4903925 & 5234632.24633204 & -330707.246332035 \tabularnewline
81 & 5311150 & 4993619.59697738 & 317530.403022615 \tabularnewline
82 & 4426825 & 5179798.64387512 & -752973.643875116 \tabularnewline
83 & 5001100 & 4660510.42873622 & 340589.571263775 \tabularnewline
84 & 5262725 & 4861885.57725644 & 400839.422743564 \tabularnewline
85 & 5262725 & 5102965.66466477 & 159759.335335232 \tabularnewline
86 & 4952350 & 5185172.82703524 & -232822.827035243 \tabularnewline
87 & 4665375 & 5008666.4758842 & -343291.475884199 \tabularnewline
88 & 4642300 & 4759360.75935924 & -117060.759359244 \tabularnewline
89 & 4903925 & 4659142.16178349 & 244782.83821651 \tabularnewline
90 & 4665375 & 4797380.21722741 & -132005.217227411 \tabularnewline
91 & 4211675 & 4687313.15078745 & -475638.150787453 \tabularnewline
92 & 3899025 & 4350790.34558897 & -451765.345588971 \tabularnewline
93 & 4234750 & 4029999.8326404 & 204750.167359601 \tabularnewline
94 & 3445325 & 4141856.16745161 & -696531.167451614 \tabularnewline
95 & 4162925 & 3659763.81291731 & 503161.18708269 \tabularnewline
96 & 4544800 & 3968274.43003197 & 576525.569968033 \tabularnewline
97 & 4665375 & 4325132.52465044 & 340242.475349562 \tabularnewline
98 & 4401475 & 4526278.93531116 & -124803.935311158 \tabularnewline
99 & 4068025 & 4420957.54792896 & -352932.547928963 \tabularnewline
100 & 4306575 & 4165298.31903922 & 141276.680960777 \tabularnewline
101 & 4401475 & 4235325.32420758 & 166149.675792419 \tabularnewline
102 & 4329650 & 4321743.75135457 & 7906.24864543322 \tabularnewline
103 & 3611725 & 4303879.00684219 & -692154.006842192 \tabularnewline
104 & 3278600 & 3824671.22198287 & -546071.221982867 \tabularnewline
105 & 3516825 & 3441732.687636 & 75092.3123640036 \tabularnewline
106 & 2799225 & 3468143.87889044 & -668918.878890436 \tabularnewline
107 & 3540225 & 3004248.15394036 & 535976.846059636 \tabularnewline
108 & 3804125 & 3334384.44650901 & 469740.553490988 \tabularnewline
109 & 4019275 & 3620870.70701914 & 398404.29298086 \tabularnewline
110 & 3660475 & 3860346.0323237 & -199871.032323697 \tabularnewline
111 & 3324750 & 3705555.07072369 & -380805.070723691 \tabularnewline
112 & 3516825 & 3431527.71665121 & 85297.2833487913 \tabularnewline
113 & 3611725 & 3464664.03235582 & 147060.967644178 \tabularnewline
114 & 3421925 & 3538502.90997922 & -116577.909979216 \tabularnewline
115 & 2704325 & 3438602.51244305 & -734277.512443053 \tabularnewline
116 & 2391675 & 2931635.1369033 & -539960.136903299 \tabularnewline
117 & 2678650 & 2552723.83670995 & 125926.163290045 \tabularnewline
118 & 1889225 & 2612634.77767155 & -723409.777671551 \tabularnewline
119 & 2750475 & 2112829.29107188 & 637645.708928119 \tabularnewline
120 & 3278600 & 2509965.84817018 & 768634.151829824 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306811&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]6149325[/C][C]6149650[/C][C]-325[/C][/ROW]
[ROW][C]4[/C][C]6100900[/C][C]6126360.82345314[/C][C]-25460.8234531423[/C][/ROW]
[ROW][C]5[/C][C]6579950[/C][C]6086507.01961514[/C][C]493442.980384861[/C][/ROW]
[ROW][C]6[/C][C]6554600[/C][C]6388613.29226151[/C][C]165986.707738486[/C][/ROW]
[ROW][C]7[/C][C]6195800[/C][C]6474924.3226853[/C][C]-279124.322685301[/C][/ROW]
[ROW][C]8[/C][C]5957250[/C][C]6267905.065526[/C][C]-310655.065526003[/C][/ROW]
[ROW][C]9[/C][C]5980325[/C][C]6040106.89876214[/C][C]-59781.8987621376[/C][/ROW]
[ROW][C]10[/C][C]5980325[/C][C]5977635.3429422[/C][C]2689.65705780033[/C][/ROW]
[ROW][C]11[/C][C]6006000[/C][C]5956332.83974488[/C][C]49667.1602551183[/C][/ROW]
[ROW][C]12[/C][C]6052150[/C][C]5965988.73474696[/C][C]86161.2652530372[/C][/ROW]
[ROW][C]13[/C][C]6123975[/C][C]5999694.41863865[/C][C]124280.581361351[/C][/ROW]
[ROW][C]14[/C][C]6123975[/C][C]6058520.91327699[/C][C]65454.0867230147[/C][/ROW]
[ROW][C]15[/C][C]6077825[/C][C]6078580.46796027[/C][C]-755.467960274778[/C][/ROW]
[ROW][C]16[/C][C]5957250[/C][C]6055007.61097876[/C][C]-97757.610978757[/C][/ROW]
[ROW][C]17[/C][C]6579950[/C][C]5967509.88006029[/C][C]612440.119939712[/C][/ROW]
[ROW][C]18[/C][C]6674850[/C][C]6348035.83404764[/C][C]326814.165952356[/C][/ROW]
[ROW][C]19[/C][C]6531525[/C][C]6540332.92490273[/C][C]-8807.92490272596[/C][/ROW]
[ROW][C]20[/C][C]6195800[/C][C]6511453.46046996[/C][C]-315653.460469959[/C][/ROW]
[ROW][C]21[/C][C]6339450[/C][C]6280361.32764785[/C][C]59088.6723521473[/C][/ROW]
[ROW][C]22[/C][C]6123975[/C][C]6296226.04396415[/C][C]-172251.043964152[/C][/ROW]
[ROW][C]23[/C][C]6221150[/C][C]6159636.78615215[/C][C]61513.2138478495[/C][/ROW]
[ROW][C]24[/C][C]6267625[/C][C]6177099.28685387[/C][C]90525.7131461259[/C][/ROW]
[ROW][C]25[/C][C]6316050[/C][C]6213681.16267997[/C][C]102368.837320031[/C][/ROW]
[ROW][C]26[/C][C]6195800[/C][C]6258067.71370476[/C][C]-62267.7137047583[/C][/ROW]
[ROW][C]27[/C][C]6221150[/C][C]6193957.99400624[/C][C]27192.0059937583[/C][/ROW]
[ROW][C]28[/C][C]6052150[/C][C]6188802.65537818[/C][C]-136652.655378183[/C][/ROW]
[ROW][C]29[/C][C]6579950[/C][C]6075672.90507709[/C][C]504277.094922906[/C][/ROW]
[ROW][C]30[/C][C]6746675[/C][C]6384918.91076969[/C][C]361756.089230313[/C][/ROW]
[ROW][C]31[/C][C]6603350[/C][C]6600242.89537321[/C][C]3107.10462678596[/C][/ROW]
[ROW][C]32[/C][C]6339450[/C][C]6579215.49211073[/C][C]-239765.492110725[/C][/ROW]
[ROW][C]33[/C][C]6626425[/C][C]6398133.89163089[/C][C]228291.10836911[/C][/ROW]
[ROW][C]34[/C][C]6316050[/C][C]6525503.81861195[/C][C]-209453.818611953[/C][/ROW]
[ROW][C]35[/C][C]6603350[/C][C]6364397.75523812[/C][C]238952.244761884[/C][/ROW]
[ROW][C]36[/C][C]6579950[/C][C]6498793.42184436[/C][C]81156.5781556368[/C][/ROW]
[ROW][C]37[/C][C]6651775[/C][C]6529200.99311874[/C][C]122574.006881258[/C][/ROW]
[ROW][C]38[/C][C]6387875[/C][C]6586902.84705215[/C][C]-199027.847052149[/C][/ROW]
[ROW][C]39[/C][C]6674850[/C][C]6432667.54855929[/C][C]242182.451440713[/C][/ROW]
[ROW][C]40[/C][C]6651775[/C][C]6569191.93674125[/C][C]82583.0632587466[/C][/ROW]
[ROW][C]41[/C][C]7082400[/C][C]6600539.56848803[/C][C]481860.431511974[/C][/ROW]
[ROW][C]42[/C][C]6985225[/C][C]6895012.8862993[/C][C]90212.1137006972[/C][/ROW]
[ROW][C]43[/C][C]6603350[/C][C]6931388.09859826[/C][C]-328038.098598264[/C][/ROW]
[ROW][C]44[/C][C]6410950[/C][C]6692134.43030415[/C][C]-281184.430304145[/C][/ROW]
[ROW][C]45[/C][C]6674850[/C][C]6483757.55241882[/C][C]191092.447581183[/C][/ROW]
[ROW][C]46[/C][C]6316050[/C][C]6586613.38489128[/C][C]-270563.384891282[/C][/ROW]
[ROW][C]47[/C][C]6579950[/C][C]6385235.82648456[/C][C]194714.173515439[/C][/ROW]
[ROW][C]48[/C][C]6626425[/C][C]6490478.39358553[/C][C]135946.606414468[/C][/ROW]
[ROW][C]49[/C][C]6723600[/C][C]6556992.85425905[/C][C]166607.14574095[/C][/ROW]
[ROW][C]50[/C][C]6508450[/C][C]6643712.75627947[/C][C]-135262.756279474[/C][/ROW]
[ROW][C]51[/C][C]6626425[/C][C]6531498.95609974[/C][C]94926.0439002551[/C][/ROW]
[ROW][C]52[/C][C]6698250[/C][C]6570980.67083646[/C][C]127269.329163539[/C][/ROW]
[ROW][C]53[/C][C]6962150[/C][C]6631776.76450157[/C][C]330373.235498428[/C][/ROW]
[ROW][C]54[/C][C]6746675[/C][C]6826419.29912713[/C][C]-79744.2991271298[/C][/ROW]
[ROW][C]55[/C][C]6459700[/C][C]6750792.42645437[/C][C]-291092.426454368[/C][/ROW]
[ROW][C]56[/C][C]6149325[/C][C]6535886.13194831[/C][C]-386561.131948315[/C][/ROW]
[ROW][C]57[/C][C]6436625[/C][C]6258065.50613247[/C][C]178559.493867529[/C][/ROW]
[ROW][C]58[/C][C]5646875[/C][C]6352662.06245626[/C][C]-705787.062456261[/C][/ROW]
[ROW][C]59[/C][C]6029075[/C][C]5864470.02905988[/C][C]164604.970940117[/C][/ROW]
[ROW][C]60[/C][C]6244225[/C][C]5949870.48835708[/C][C]294354.511642917[/C][/ROW]
[ROW][C]61[/C][C]6459700[/C][C]6120776.51252849[/C][C]338923.487471512[/C][/ROW]
[ROW][C]62[/C][C]6149325[/C][C]6321053.70389977[/C][C]-171728.703899767[/C][/ROW]
[ROW][C]63[/C][C]6149325[/C][C]6184808.67067631[/C][C]-35483.6706763059[/C][/ROW]
[ROW][C]64[/C][C]6149325[/C][C]6138349.76281387[/C][C]10975.2371861311[/C][/ROW]
[ROW][C]65[/C][C]6316050[/C][C]6122507.49635686[/C][C]193542.503643142[/C][/ROW]
[ROW][C]66[/C][C]6077825[/C][C]6226977.92743535[/C][C]-149152.92743535[/C][/ROW]
[ROW][C]67[/C][C]5765175[/C][C]6105610.43835276[/C][C]-340435.43835276[/C][/ROW]
[ROW][C]68[/C][C]5503550[/C][C]5858186.86415451[/C][C]-354636.864154513[/C][/ROW]
[ROW][C]69[/C][C]5693350[/C][C]5601404.48276034[/C][C]91945.5172396637[/C][/ROW]
[ROW][C]70[/C][C]4952350[/C][C]5638922.01624172[/C][C]-686572.016241719[/C][/ROW]
[ROW][C]71[/C][C]5406375[/C][C]5163392.78975594[/C][C]242982.21024406[/C][/ROW]
[ROW][C]72[/C][C]5670275[/C][C]5300444.22279581[/C][C]369830.777204186[/C][/ROW]
[ROW][C]73[/C][C]5718700[/C][C]5521089.46520611[/C][C]197610.534793894[/C][/ROW]
[ROW][C]74[/C][C]5454800[/C][C]5628240.74817499[/C][C]-173440.748174991[/C][/ROW]
[ROW][C]75[/C][C]5477875[/C][C]5490867.46962557[/C][C]-12992.4696255745[/C][/ROW]
[ROW][C]76[/C][C]5406375[/C][C]5459230.37030385[/C][C]-52855.3703038488[/C][/ROW]
[ROW][C]77[/C][C]5646875[/C][C]5401323.42970517[/C][C]245551.570294831[/C][/ROW]
[ROW][C]78[/C][C]5477875[/C][C]5540068.08324753[/C][C]-62193.0832475312[/C][/ROW]
[ROW][C]79[/C][C]5144750[/C][C]5476007.54537554[/C][C]-331257.545375535[/C][/ROW]
[ROW][C]80[/C][C]4903925[/C][C]5234632.24633204[/C][C]-330707.246332035[/C][/ROW]
[ROW][C]81[/C][C]5311150[/C][C]4993619.59697738[/C][C]317530.403022615[/C][/ROW]
[ROW][C]82[/C][C]4426825[/C][C]5179798.64387512[/C][C]-752973.643875116[/C][/ROW]
[ROW][C]83[/C][C]5001100[/C][C]4660510.42873622[/C][C]340589.571263775[/C][/ROW]
[ROW][C]84[/C][C]5262725[/C][C]4861885.57725644[/C][C]400839.422743564[/C][/ROW]
[ROW][C]85[/C][C]5262725[/C][C]5102965.66466477[/C][C]159759.335335232[/C][/ROW]
[ROW][C]86[/C][C]4952350[/C][C]5185172.82703524[/C][C]-232822.827035243[/C][/ROW]
[ROW][C]87[/C][C]4665375[/C][C]5008666.4758842[/C][C]-343291.475884199[/C][/ROW]
[ROW][C]88[/C][C]4642300[/C][C]4759360.75935924[/C][C]-117060.759359244[/C][/ROW]
[ROW][C]89[/C][C]4903925[/C][C]4659142.16178349[/C][C]244782.83821651[/C][/ROW]
[ROW][C]90[/C][C]4665375[/C][C]4797380.21722741[/C][C]-132005.217227411[/C][/ROW]
[ROW][C]91[/C][C]4211675[/C][C]4687313.15078745[/C][C]-475638.150787453[/C][/ROW]
[ROW][C]92[/C][C]3899025[/C][C]4350790.34558897[/C][C]-451765.345588971[/C][/ROW]
[ROW][C]93[/C][C]4234750[/C][C]4029999.8326404[/C][C]204750.167359601[/C][/ROW]
[ROW][C]94[/C][C]3445325[/C][C]4141856.16745161[/C][C]-696531.167451614[/C][/ROW]
[ROW][C]95[/C][C]4162925[/C][C]3659763.81291731[/C][C]503161.18708269[/C][/ROW]
[ROW][C]96[/C][C]4544800[/C][C]3968274.43003197[/C][C]576525.569968033[/C][/ROW]
[ROW][C]97[/C][C]4665375[/C][C]4325132.52465044[/C][C]340242.475349562[/C][/ROW]
[ROW][C]98[/C][C]4401475[/C][C]4526278.93531116[/C][C]-124803.935311158[/C][/ROW]
[ROW][C]99[/C][C]4068025[/C][C]4420957.54792896[/C][C]-352932.547928963[/C][/ROW]
[ROW][C]100[/C][C]4306575[/C][C]4165298.31903922[/C][C]141276.680960777[/C][/ROW]
[ROW][C]101[/C][C]4401475[/C][C]4235325.32420758[/C][C]166149.675792419[/C][/ROW]
[ROW][C]102[/C][C]4329650[/C][C]4321743.75135457[/C][C]7906.24864543322[/C][/ROW]
[ROW][C]103[/C][C]3611725[/C][C]4303879.00684219[/C][C]-692154.006842192[/C][/ROW]
[ROW][C]104[/C][C]3278600[/C][C]3824671.22198287[/C][C]-546071.221982867[/C][/ROW]
[ROW][C]105[/C][C]3516825[/C][C]3441732.687636[/C][C]75092.3123640036[/C][/ROW]
[ROW][C]106[/C][C]2799225[/C][C]3468143.87889044[/C][C]-668918.878890436[/C][/ROW]
[ROW][C]107[/C][C]3540225[/C][C]3004248.15394036[/C][C]535976.846059636[/C][/ROW]
[ROW][C]108[/C][C]3804125[/C][C]3334384.44650901[/C][C]469740.553490988[/C][/ROW]
[ROW][C]109[/C][C]4019275[/C][C]3620870.70701914[/C][C]398404.29298086[/C][/ROW]
[ROW][C]110[/C][C]3660475[/C][C]3860346.0323237[/C][C]-199871.032323697[/C][/ROW]
[ROW][C]111[/C][C]3324750[/C][C]3705555.07072369[/C][C]-380805.070723691[/C][/ROW]
[ROW][C]112[/C][C]3516825[/C][C]3431527.71665121[/C][C]85297.2833487913[/C][/ROW]
[ROW][C]113[/C][C]3611725[/C][C]3464664.03235582[/C][C]147060.967644178[/C][/ROW]
[ROW][C]114[/C][C]3421925[/C][C]3538502.90997922[/C][C]-116577.909979216[/C][/ROW]
[ROW][C]115[/C][C]2704325[/C][C]3438602.51244305[/C][C]-734277.512443053[/C][/ROW]
[ROW][C]116[/C][C]2391675[/C][C]2931635.1369033[/C][C]-539960.136903299[/C][/ROW]
[ROW][C]117[/C][C]2678650[/C][C]2552723.83670995[/C][C]125926.163290045[/C][/ROW]
[ROW][C]118[/C][C]1889225[/C][C]2612634.77767155[/C][C]-723409.777671551[/C][/ROW]
[ROW][C]119[/C][C]2750475[/C][C]2112829.29107188[/C][C]637645.708928119[/C][/ROW]
[ROW][C]120[/C][C]3278600[/C][C]2509965.84817018[/C][C]768634.151829824[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306811&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306811&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
361493256149650-325
461009006126360.82345314-25460.8234531423
565799506086507.01961514493442.980384861
665546006388613.29226151165986.707738486
761958006474924.3226853-279124.322685301
859572506267905.065526-310655.065526003
959803256040106.89876214-59781.8987621376
1059803255977635.34294222689.65705780033
1160060005956332.8397448849667.1602551183
1260521505965988.7347469686161.2652530372
1361239755999694.41863865124280.581361351
1461239756058520.9132769965454.0867230147
1560778256078580.46796027-755.467960274778
1659572506055007.61097876-97757.610978757
1765799505967509.88006029612440.119939712
1866748506348035.83404764326814.165952356
1965315256540332.92490273-8807.92490272596
2061958006511453.46046996-315653.460469959
2163394506280361.3276478559088.6723521473
2261239756296226.04396415-172251.043964152
2362211506159636.7861521561513.2138478495
2462676256177099.2868538790525.7131461259
2563160506213681.16267997102368.837320031
2661958006258067.71370476-62267.7137047583
2762211506193957.9940062427192.0059937583
2860521506188802.65537818-136652.655378183
2965799506075672.90507709504277.094922906
3067466756384918.91076969361756.089230313
3166033506600242.895373213107.10462678596
3263394506579215.49211073-239765.492110725
3366264256398133.89163089228291.10836911
3463160506525503.81861195-209453.818611953
3566033506364397.75523812238952.244761884
3665799506498793.4218443681156.5781556368
3766517756529200.99311874122574.006881258
3863878756586902.84705215-199027.847052149
3966748506432667.54855929242182.451440713
4066517756569191.9367412582583.0632587466
4170824006600539.56848803481860.431511974
4269852256895012.886299390212.1137006972
4366033506931388.09859826-328038.098598264
4464109506692134.43030415-281184.430304145
4566748506483757.55241882191092.447581183
4663160506586613.38489128-270563.384891282
4765799506385235.82648456194714.173515439
4866264256490478.39358553135946.606414468
4967236006556992.85425905166607.14574095
5065084506643712.75627947-135262.756279474
5166264256531498.9560997494926.0439002551
5266982506570980.67083646127269.329163539
5369621506631776.76450157330373.235498428
5467466756826419.29912713-79744.2991271298
5564597006750792.42645437-291092.426454368
5661493256535886.13194831-386561.131948315
5764366256258065.50613247178559.493867529
5856468756352662.06245626-705787.062456261
5960290755864470.02905988164604.970940117
6062442255949870.48835708294354.511642917
6164597006120776.51252849338923.487471512
6261493256321053.70389977-171728.703899767
6361493256184808.67067631-35483.6706763059
6461493256138349.7628138710975.2371861311
6563160506122507.49635686193542.503643142
6660778256226977.92743535-149152.92743535
6757651756105610.43835276-340435.43835276
6855035505858186.86415451-354636.864154513
6956933505601404.4827603491945.5172396637
7049523505638922.01624172-686572.016241719
7154063755163392.78975594242982.21024406
7256702755300444.22279581369830.777204186
7357187005521089.46520611197610.534793894
7454548005628240.74817499-173440.748174991
7554778755490867.46962557-12992.4696255745
7654063755459230.37030385-52855.3703038488
7756468755401323.42970517245551.570294831
7854778755540068.08324753-62193.0832475312
7951447505476007.54537554-331257.545375535
8049039255234632.24633204-330707.246332035
8153111504993619.59697738317530.403022615
8244268255179798.64387512-752973.643875116
8350011004660510.42873622340589.571263775
8452627254861885.57725644400839.422743564
8552627255102965.66466477159759.335335232
8649523505185172.82703524-232822.827035243
8746653755008666.4758842-343291.475884199
8846423004759360.75935924-117060.759359244
8949039254659142.16178349244782.83821651
9046653754797380.21722741-132005.217227411
9142116754687313.15078745-475638.150787453
9238990254350790.34558897-451765.345588971
9342347504029999.8326404204750.167359601
9434453254141856.16745161-696531.167451614
9541629253659763.81291731503161.18708269
9645448003968274.43003197576525.569968033
9746653754325132.52465044340242.475349562
9844014754526278.93531116-124803.935311158
9940680254420957.54792896-352932.547928963
10043065754165298.31903922141276.680960777
10144014754235325.32420758166149.675792419
10243296504321743.751354577906.24864543322
10336117254303879.00684219-692154.006842192
10432786003824671.22198287-546071.221982867
10535168253441732.68763675092.3123640036
10627992253468143.87889044-668918.878890436
10735402253004248.15394036535976.846059636
10838041253334384.44650901469740.553490988
10940192753620870.70701914398404.29298086
11036604753860346.0323237-199871.032323697
11133247503705555.07072369-380805.070723691
11235168253431527.7166512185297.2833487913
11336117253464664.03235582147060.967644178
11434219253538502.90997922-116577.909979216
11527043253438602.51244305-734277.512443053
11623916752931635.1369033-539960.136903299
11726786502552723.83670995125926.163290045
11818892252612634.77767155-723409.777671551
11927504752112829.29107188637645.708928119
12032786002509965.84817018768634.151829824







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1212993424.412588392350860.521428713635988.30374807
1222970349.412588392200803.759827623739895.06534916
1232947274.412588392068916.473509033825632.35166774
1242924199.412588391949096.942791263899301.88238552
1252901124.412588391838045.401383113964203.42379367
1262878049.412588391733737.767307294022361.05786949
1272854974.412588391634826.348218064075122.47695872
1282831899.412588391540360.23143774123438.59373908
1292808824.412588391449638.768936964168010.05623981
1302785749.412588391362128.05444264209370.77073418
1312762674.412588391277410.150300494247938.67487628
1322739599.412588391195150.615673994284048.20950279

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 2993424.41258839 & 2350860.52142871 & 3635988.30374807 \tabularnewline
122 & 2970349.41258839 & 2200803.75982762 & 3739895.06534916 \tabularnewline
123 & 2947274.41258839 & 2068916.47350903 & 3825632.35166774 \tabularnewline
124 & 2924199.41258839 & 1949096.94279126 & 3899301.88238552 \tabularnewline
125 & 2901124.41258839 & 1838045.40138311 & 3964203.42379367 \tabularnewline
126 & 2878049.41258839 & 1733737.76730729 & 4022361.05786949 \tabularnewline
127 & 2854974.41258839 & 1634826.34821806 & 4075122.47695872 \tabularnewline
128 & 2831899.41258839 & 1540360.2314377 & 4123438.59373908 \tabularnewline
129 & 2808824.41258839 & 1449638.76893696 & 4168010.05623981 \tabularnewline
130 & 2785749.41258839 & 1362128.0544426 & 4209370.77073418 \tabularnewline
131 & 2762674.41258839 & 1277410.15030049 & 4247938.67487628 \tabularnewline
132 & 2739599.41258839 & 1195150.61567399 & 4284048.20950279 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306811&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]2993424.41258839[/C][C]2350860.52142871[/C][C]3635988.30374807[/C][/ROW]
[ROW][C]122[/C][C]2970349.41258839[/C][C]2200803.75982762[/C][C]3739895.06534916[/C][/ROW]
[ROW][C]123[/C][C]2947274.41258839[/C][C]2068916.47350903[/C][C]3825632.35166774[/C][/ROW]
[ROW][C]124[/C][C]2924199.41258839[/C][C]1949096.94279126[/C][C]3899301.88238552[/C][/ROW]
[ROW][C]125[/C][C]2901124.41258839[/C][C]1838045.40138311[/C][C]3964203.42379367[/C][/ROW]
[ROW][C]126[/C][C]2878049.41258839[/C][C]1733737.76730729[/C][C]4022361.05786949[/C][/ROW]
[ROW][C]127[/C][C]2854974.41258839[/C][C]1634826.34821806[/C][C]4075122.47695872[/C][/ROW]
[ROW][C]128[/C][C]2831899.41258839[/C][C]1540360.2314377[/C][C]4123438.59373908[/C][/ROW]
[ROW][C]129[/C][C]2808824.41258839[/C][C]1449638.76893696[/C][C]4168010.05623981[/C][/ROW]
[ROW][C]130[/C][C]2785749.41258839[/C][C]1362128.0544426[/C][C]4209370.77073418[/C][/ROW]
[ROW][C]131[/C][C]2762674.41258839[/C][C]1277410.15030049[/C][C]4247938.67487628[/C][/ROW]
[ROW][C]132[/C][C]2739599.41258839[/C][C]1195150.61567399[/C][C]4284048.20950279[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306811&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306811&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
1212993424.412588392350860.521428713635988.30374807
1222970349.412588392200803.759827623739895.06534916
1232947274.412588392068916.473509033825632.35166774
1242924199.412588391949096.942791263899301.88238552
1252901124.412588391838045.401383113964203.42379367
1262878049.412588391733737.767307294022361.05786949
1272854974.412588391634826.348218064075122.47695872
1282831899.412588391540360.23143774123438.59373908
1292808824.412588391449638.768936964168010.05623981
1302785749.412588391362128.05444264209370.77073418
1312762674.412588391277410.150300494247938.67487628
1322739599.412588391195150.615673994284048.20950279



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ; 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')