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 computationSun, 11 Dec 2016 16:21:24 +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/11/t14814700196a0c9mw4aqckm67.htm/, Retrieved Thu, 02 May 2024 09:31:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298814, Retrieved Thu, 02 May 2024 09:31:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2016-12-11 15:21:24] [2a4be59ea15844c348dc523b08af79fc] [Current]
Feedback Forum

Post a new message
Dataseries X:
6151.2
5847.6
5662.8
5807.7
5907
6036.3
5668.2
5578.5
5760.6
5918.1
6030
6242.4
6425.1
6610.8
6943.5
5316.3
4356.6
4073.1
4239.9
4401.3
4590.6
4671
4772.1
4875.3
4601.7
4482.3
4455.6
4487.7
4606.8
4727.7
4617.9
4507.8
4398.6
4334.7
4272.9
4209.6
3963.3
3717
3469.5
3587.1
3703.5
3819.6
3777
3732.9
3687.6
3756.3
3824.7
3893.7
4039.2
4184.7
4329.9
4867.8
5405.7
5943.6
6440.7
6938.4
7435.8
6696.3
5957.1
5217.9
4781.7
4345.2
3909
3944.7
3980.1
4015.5
3983.7
3951.6
3919.8
3992.1
4064.4
4136.7
3950.1
3763.2
3577.2
3690.3
3804
3917.7
3900.9
3884.1
3867
3915
3962.4
4009.5
3820.2
3631.2
3441.9
3557.7
3674.1
3789.9
3886.2
3981.9
4078.2
4181.4
4284.9
4388.4
4190.1
3991.8
3793.5
3734.7
3675.9
3617.4
3557.7
3498
3438.6
3478.5
3518.7
3558.9
3401.1
3230.7
3060.3
3043.5
3026.4
3009.6
3159
3308.1
3457.5
3327.6
3198
3068.1
3108
3147.6
3187.5




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298814&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298814&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298814&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 time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.756072863205711
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.756072863205711 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298814&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]0.756072863205711[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298814&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298814&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
alpha0.756072863205711
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1160305681.11390909091348.886090909087
126242.46235.31412386817.08587613189957
136425.16540.65847161438-115.558471614377
146610.86766.72975620413-155.929756204127
156943.57109.84740806281-166.347408062815
165316.35765.31355605282-449.013556052821
174356.65020.4835002007-663.883500200696
184073.14347.42111045983-274.321110459834
194239.94220.2812721276119.6187278723937
204401.34277.07136897345124.228631026553
214590.64528.6119600395361.9880399604663
2246714782.52199624159-111.521996241587
234772.14968.27386573395-196.173865733951
244875.35123.54638661457-248.246386614573
254601.75394.32479140732-792.624791407322
264482.33507.32966086319974.970339136807
274455.63786.72257554677668.877424453229
284487.74216.34939240992271.350607590076
294606.84573.4770354682333.3229645317724
304727.74666.145727919961.5542720801031
314617.94855.11776779662-237.217767796625
324507.84840.48260590416-332.682605904155
334398.64838.37205187107-439.772051871065
344334.74796.76469376321-462.06469376321
354272.94773.09221325055-500.192213250553
364209.63538.3618385732671.238161426803
373963.33513.44672773608449.853272263916
3837173680.5077485058836.4922514941172
393469.53802.00396037382-332.503960373824
403587.13624.9672242926-37.8672242926018
413703.53665.890760501337.6092394986958
423819.63835.75837627676-16.158376276765
4337774046.84118087644-269.841180876444
443732.94128.2761626402-395.376162640201
453687.64145.72473413508-458.124734135085
463756.33228.54409608932527.755903910685
473824.73041.14416184975783.555838150252
483893.73359.67866680958534.02133319042
494039.23767.33492655487271.865073445133
504184.74119.1151117327265.5848882672808
514329.94256.6667405972273.2332594027794
524867.84440.35333053209427.446669467906
535405.74924.9537520205480.746247979499
545943.65543.26613153643400.333868463574
556440.76147.02338514677293.676614853232
566938.46038.74238685194899.657613148058
577435.86194.92378829781240.8762117022
586696.36798.35758016513-102.057580165126
595957.16661.14480883254-704.04480883254
605217.96224.74868013814-1006.84868013814
614781.75553.32803561266-771.628035612658
624345.25184.64019014485-839.440190144854
6339094724.38304990683-815.383049906825
643944.74343.11247858689-398.412478586894
653980.14316.94269611617-336.842696116172
664015.53879.75836693602135.741633063981
673983.73541.59610183738442.103898162618
683951.63213.52182880289738.078171197109
693919.83564.67187940866355.12812059134
703992.13855.22557875595136.874421244051
714064.44105.91963254102-41.5196325410247
724136.74272.70571313925-136.005713139249
733950.14350.16448134618-400.064481346181
743763.24384.61544688994-621.415446889944
753577.24204.85771242209-627.657712422093
763690.33663.0721835110727.2278164889294
7738043317.59563656448486.404363435522
783917.73095.21190013629822.488099863708
793900.93416.77009781251484.129902187487
803884.13751.62054355329132.479456446707
8138673955.47653295943-88.4765329594334
8239154063.71205630381-148.712056303807
833962.44067.15280397929-104.752803979294
844009.54270.88740771618-261.387407716179
853820.24361.81444570241-541.614445702408
863631.24044.82824781499-413.62824781499
873441.93478.0380144483-36.1380144483023
883557.72942.55410977723615.145890222774
893674.13024.81174297679649.288257023209
903789.93398.75685255858391.143147441424
913886.23744.28427756906141.915722430939
923981.94012.02005436416-30.1200543641557
934078.24115.84785105459-37.6478510545885
944181.44332.11125827209-150.711258272094
954284.94438.36255042877-153.462550428771
964388.44446.06677415948-57.6667741594802
974190.14240.48946316338-50.3894631633821
983991.83853.09624296409138.703757035914
993793.53583.45715815024210.042841849764
1003734.73562.33213157412172.36786842588
1013675.93681.65617278727-5.75617278727213
1023617.43795.77704248991-178.377042489913
1033557.73785.67551978478-227.975519784782
10434983830.45810835941-332.458108359409
1053438.63798.62442437369-360.024424373687
1063478.53673.52001006408-195.02001006408
1073518.73365.86877836186152.831221638137
1083558.93178.2501709735380.649829026498
1093401.13108.94148425112292.158515748884
1103230.73140.7119419578989.9880580421145
1113060.33154.30155669649-94.0015566964885
1123043.53159.5955718247-116.095571824696
1133026.43184.48496441418-158.084964414184
1143009.63256.62376662303-247.023766623032
11531593282.6604974727-123.660497472698
1163308.13376.51348847463-68.4134884746281
1173457.53249.43636703055208.063632969448
1183327.63159.14862762792168.451372372083
11931982907.81701353602290.182986463981
1203068.12888.7789662672179.321033732797
12131082925.03075979187182.969240208125
1223147.63134.3455485096113.2544514903921
1233187.53246.79063127257-59.2906312725745

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
11 & 6030 & 5681.11390909091 & 348.886090909087 \tabularnewline
12 & 6242.4 & 6235.3141238681 & 7.08587613189957 \tabularnewline
13 & 6425.1 & 6540.65847161438 & -115.558471614377 \tabularnewline
14 & 6610.8 & 6766.72975620413 & -155.929756204127 \tabularnewline
15 & 6943.5 & 7109.84740806281 & -166.347408062815 \tabularnewline
16 & 5316.3 & 5765.31355605282 & -449.013556052821 \tabularnewline
17 & 4356.6 & 5020.4835002007 & -663.883500200696 \tabularnewline
18 & 4073.1 & 4347.42111045983 & -274.321110459834 \tabularnewline
19 & 4239.9 & 4220.28127212761 & 19.6187278723937 \tabularnewline
20 & 4401.3 & 4277.07136897345 & 124.228631026553 \tabularnewline
21 & 4590.6 & 4528.61196003953 & 61.9880399604663 \tabularnewline
22 & 4671 & 4782.52199624159 & -111.521996241587 \tabularnewline
23 & 4772.1 & 4968.27386573395 & -196.173865733951 \tabularnewline
24 & 4875.3 & 5123.54638661457 & -248.246386614573 \tabularnewline
25 & 4601.7 & 5394.32479140732 & -792.624791407322 \tabularnewline
26 & 4482.3 & 3507.32966086319 & 974.970339136807 \tabularnewline
27 & 4455.6 & 3786.72257554677 & 668.877424453229 \tabularnewline
28 & 4487.7 & 4216.34939240992 & 271.350607590076 \tabularnewline
29 & 4606.8 & 4573.47703546823 & 33.3229645317724 \tabularnewline
30 & 4727.7 & 4666.1457279199 & 61.5542720801031 \tabularnewline
31 & 4617.9 & 4855.11776779662 & -237.217767796625 \tabularnewline
32 & 4507.8 & 4840.48260590416 & -332.682605904155 \tabularnewline
33 & 4398.6 & 4838.37205187107 & -439.772051871065 \tabularnewline
34 & 4334.7 & 4796.76469376321 & -462.06469376321 \tabularnewline
35 & 4272.9 & 4773.09221325055 & -500.192213250553 \tabularnewline
36 & 4209.6 & 3538.3618385732 & 671.238161426803 \tabularnewline
37 & 3963.3 & 3513.44672773608 & 449.853272263916 \tabularnewline
38 & 3717 & 3680.50774850588 & 36.4922514941172 \tabularnewline
39 & 3469.5 & 3802.00396037382 & -332.503960373824 \tabularnewline
40 & 3587.1 & 3624.9672242926 & -37.8672242926018 \tabularnewline
41 & 3703.5 & 3665.8907605013 & 37.6092394986958 \tabularnewline
42 & 3819.6 & 3835.75837627676 & -16.158376276765 \tabularnewline
43 & 3777 & 4046.84118087644 & -269.841180876444 \tabularnewline
44 & 3732.9 & 4128.2761626402 & -395.376162640201 \tabularnewline
45 & 3687.6 & 4145.72473413508 & -458.124734135085 \tabularnewline
46 & 3756.3 & 3228.54409608932 & 527.755903910685 \tabularnewline
47 & 3824.7 & 3041.14416184975 & 783.555838150252 \tabularnewline
48 & 3893.7 & 3359.67866680958 & 534.02133319042 \tabularnewline
49 & 4039.2 & 3767.33492655487 & 271.865073445133 \tabularnewline
50 & 4184.7 & 4119.11511173272 & 65.5848882672808 \tabularnewline
51 & 4329.9 & 4256.66674059722 & 73.2332594027794 \tabularnewline
52 & 4867.8 & 4440.35333053209 & 427.446669467906 \tabularnewline
53 & 5405.7 & 4924.9537520205 & 480.746247979499 \tabularnewline
54 & 5943.6 & 5543.26613153643 & 400.333868463574 \tabularnewline
55 & 6440.7 & 6147.02338514677 & 293.676614853232 \tabularnewline
56 & 6938.4 & 6038.74238685194 & 899.657613148058 \tabularnewline
57 & 7435.8 & 6194.9237882978 & 1240.8762117022 \tabularnewline
58 & 6696.3 & 6798.35758016513 & -102.057580165126 \tabularnewline
59 & 5957.1 & 6661.14480883254 & -704.04480883254 \tabularnewline
60 & 5217.9 & 6224.74868013814 & -1006.84868013814 \tabularnewline
61 & 4781.7 & 5553.32803561266 & -771.628035612658 \tabularnewline
62 & 4345.2 & 5184.64019014485 & -839.440190144854 \tabularnewline
63 & 3909 & 4724.38304990683 & -815.383049906825 \tabularnewline
64 & 3944.7 & 4343.11247858689 & -398.412478586894 \tabularnewline
65 & 3980.1 & 4316.94269611617 & -336.842696116172 \tabularnewline
66 & 4015.5 & 3879.75836693602 & 135.741633063981 \tabularnewline
67 & 3983.7 & 3541.59610183738 & 442.103898162618 \tabularnewline
68 & 3951.6 & 3213.52182880289 & 738.078171197109 \tabularnewline
69 & 3919.8 & 3564.67187940866 & 355.12812059134 \tabularnewline
70 & 3992.1 & 3855.22557875595 & 136.874421244051 \tabularnewline
71 & 4064.4 & 4105.91963254102 & -41.5196325410247 \tabularnewline
72 & 4136.7 & 4272.70571313925 & -136.005713139249 \tabularnewline
73 & 3950.1 & 4350.16448134618 & -400.064481346181 \tabularnewline
74 & 3763.2 & 4384.61544688994 & -621.415446889944 \tabularnewline
75 & 3577.2 & 4204.85771242209 & -627.657712422093 \tabularnewline
76 & 3690.3 & 3663.07218351107 & 27.2278164889294 \tabularnewline
77 & 3804 & 3317.59563656448 & 486.404363435522 \tabularnewline
78 & 3917.7 & 3095.21190013629 & 822.488099863708 \tabularnewline
79 & 3900.9 & 3416.77009781251 & 484.129902187487 \tabularnewline
80 & 3884.1 & 3751.62054355329 & 132.479456446707 \tabularnewline
81 & 3867 & 3955.47653295943 & -88.4765329594334 \tabularnewline
82 & 3915 & 4063.71205630381 & -148.712056303807 \tabularnewline
83 & 3962.4 & 4067.15280397929 & -104.752803979294 \tabularnewline
84 & 4009.5 & 4270.88740771618 & -261.387407716179 \tabularnewline
85 & 3820.2 & 4361.81444570241 & -541.614445702408 \tabularnewline
86 & 3631.2 & 4044.82824781499 & -413.62824781499 \tabularnewline
87 & 3441.9 & 3478.0380144483 & -36.1380144483023 \tabularnewline
88 & 3557.7 & 2942.55410977723 & 615.145890222774 \tabularnewline
89 & 3674.1 & 3024.81174297679 & 649.288257023209 \tabularnewline
90 & 3789.9 & 3398.75685255858 & 391.143147441424 \tabularnewline
91 & 3886.2 & 3744.28427756906 & 141.915722430939 \tabularnewline
92 & 3981.9 & 4012.02005436416 & -30.1200543641557 \tabularnewline
93 & 4078.2 & 4115.84785105459 & -37.6478510545885 \tabularnewline
94 & 4181.4 & 4332.11125827209 & -150.711258272094 \tabularnewline
95 & 4284.9 & 4438.36255042877 & -153.462550428771 \tabularnewline
96 & 4388.4 & 4446.06677415948 & -57.6667741594802 \tabularnewline
97 & 4190.1 & 4240.48946316338 & -50.3894631633821 \tabularnewline
98 & 3991.8 & 3853.09624296409 & 138.703757035914 \tabularnewline
99 & 3793.5 & 3583.45715815024 & 210.042841849764 \tabularnewline
100 & 3734.7 & 3562.33213157412 & 172.36786842588 \tabularnewline
101 & 3675.9 & 3681.65617278727 & -5.75617278727213 \tabularnewline
102 & 3617.4 & 3795.77704248991 & -178.377042489913 \tabularnewline
103 & 3557.7 & 3785.67551978478 & -227.975519784782 \tabularnewline
104 & 3498 & 3830.45810835941 & -332.458108359409 \tabularnewline
105 & 3438.6 & 3798.62442437369 & -360.024424373687 \tabularnewline
106 & 3478.5 & 3673.52001006408 & -195.02001006408 \tabularnewline
107 & 3518.7 & 3365.86877836186 & 152.831221638137 \tabularnewline
108 & 3558.9 & 3178.2501709735 & 380.649829026498 \tabularnewline
109 & 3401.1 & 3108.94148425112 & 292.158515748884 \tabularnewline
110 & 3230.7 & 3140.71194195789 & 89.9880580421145 \tabularnewline
111 & 3060.3 & 3154.30155669649 & -94.0015566964885 \tabularnewline
112 & 3043.5 & 3159.5955718247 & -116.095571824696 \tabularnewline
113 & 3026.4 & 3184.48496441418 & -158.084964414184 \tabularnewline
114 & 3009.6 & 3256.62376662303 & -247.023766623032 \tabularnewline
115 & 3159 & 3282.6604974727 & -123.660497472698 \tabularnewline
116 & 3308.1 & 3376.51348847463 & -68.4134884746281 \tabularnewline
117 & 3457.5 & 3249.43636703055 & 208.063632969448 \tabularnewline
118 & 3327.6 & 3159.14862762792 & 168.451372372083 \tabularnewline
119 & 3198 & 2907.81701353602 & 290.182986463981 \tabularnewline
120 & 3068.1 & 2888.7789662672 & 179.321033732797 \tabularnewline
121 & 3108 & 2925.03075979187 & 182.969240208125 \tabularnewline
122 & 3147.6 & 3134.34554850961 & 13.2544514903921 \tabularnewline
123 & 3187.5 & 3246.79063127257 & -59.2906312725745 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298814&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]11[/C][C]6030[/C][C]5681.11390909091[/C][C]348.886090909087[/C][/ROW]
[ROW][C]12[/C][C]6242.4[/C][C]6235.3141238681[/C][C]7.08587613189957[/C][/ROW]
[ROW][C]13[/C][C]6425.1[/C][C]6540.65847161438[/C][C]-115.558471614377[/C][/ROW]
[ROW][C]14[/C][C]6610.8[/C][C]6766.72975620413[/C][C]-155.929756204127[/C][/ROW]
[ROW][C]15[/C][C]6943.5[/C][C]7109.84740806281[/C][C]-166.347408062815[/C][/ROW]
[ROW][C]16[/C][C]5316.3[/C][C]5765.31355605282[/C][C]-449.013556052821[/C][/ROW]
[ROW][C]17[/C][C]4356.6[/C][C]5020.4835002007[/C][C]-663.883500200696[/C][/ROW]
[ROW][C]18[/C][C]4073.1[/C][C]4347.42111045983[/C][C]-274.321110459834[/C][/ROW]
[ROW][C]19[/C][C]4239.9[/C][C]4220.28127212761[/C][C]19.6187278723937[/C][/ROW]
[ROW][C]20[/C][C]4401.3[/C][C]4277.07136897345[/C][C]124.228631026553[/C][/ROW]
[ROW][C]21[/C][C]4590.6[/C][C]4528.61196003953[/C][C]61.9880399604663[/C][/ROW]
[ROW][C]22[/C][C]4671[/C][C]4782.52199624159[/C][C]-111.521996241587[/C][/ROW]
[ROW][C]23[/C][C]4772.1[/C][C]4968.27386573395[/C][C]-196.173865733951[/C][/ROW]
[ROW][C]24[/C][C]4875.3[/C][C]5123.54638661457[/C][C]-248.246386614573[/C][/ROW]
[ROW][C]25[/C][C]4601.7[/C][C]5394.32479140732[/C][C]-792.624791407322[/C][/ROW]
[ROW][C]26[/C][C]4482.3[/C][C]3507.32966086319[/C][C]974.970339136807[/C][/ROW]
[ROW][C]27[/C][C]4455.6[/C][C]3786.72257554677[/C][C]668.877424453229[/C][/ROW]
[ROW][C]28[/C][C]4487.7[/C][C]4216.34939240992[/C][C]271.350607590076[/C][/ROW]
[ROW][C]29[/C][C]4606.8[/C][C]4573.47703546823[/C][C]33.3229645317724[/C][/ROW]
[ROW][C]30[/C][C]4727.7[/C][C]4666.1457279199[/C][C]61.5542720801031[/C][/ROW]
[ROW][C]31[/C][C]4617.9[/C][C]4855.11776779662[/C][C]-237.217767796625[/C][/ROW]
[ROW][C]32[/C][C]4507.8[/C][C]4840.48260590416[/C][C]-332.682605904155[/C][/ROW]
[ROW][C]33[/C][C]4398.6[/C][C]4838.37205187107[/C][C]-439.772051871065[/C][/ROW]
[ROW][C]34[/C][C]4334.7[/C][C]4796.76469376321[/C][C]-462.06469376321[/C][/ROW]
[ROW][C]35[/C][C]4272.9[/C][C]4773.09221325055[/C][C]-500.192213250553[/C][/ROW]
[ROW][C]36[/C][C]4209.6[/C][C]3538.3618385732[/C][C]671.238161426803[/C][/ROW]
[ROW][C]37[/C][C]3963.3[/C][C]3513.44672773608[/C][C]449.853272263916[/C][/ROW]
[ROW][C]38[/C][C]3717[/C][C]3680.50774850588[/C][C]36.4922514941172[/C][/ROW]
[ROW][C]39[/C][C]3469.5[/C][C]3802.00396037382[/C][C]-332.503960373824[/C][/ROW]
[ROW][C]40[/C][C]3587.1[/C][C]3624.9672242926[/C][C]-37.8672242926018[/C][/ROW]
[ROW][C]41[/C][C]3703.5[/C][C]3665.8907605013[/C][C]37.6092394986958[/C][/ROW]
[ROW][C]42[/C][C]3819.6[/C][C]3835.75837627676[/C][C]-16.158376276765[/C][/ROW]
[ROW][C]43[/C][C]3777[/C][C]4046.84118087644[/C][C]-269.841180876444[/C][/ROW]
[ROW][C]44[/C][C]3732.9[/C][C]4128.2761626402[/C][C]-395.376162640201[/C][/ROW]
[ROW][C]45[/C][C]3687.6[/C][C]4145.72473413508[/C][C]-458.124734135085[/C][/ROW]
[ROW][C]46[/C][C]3756.3[/C][C]3228.54409608932[/C][C]527.755903910685[/C][/ROW]
[ROW][C]47[/C][C]3824.7[/C][C]3041.14416184975[/C][C]783.555838150252[/C][/ROW]
[ROW][C]48[/C][C]3893.7[/C][C]3359.67866680958[/C][C]534.02133319042[/C][/ROW]
[ROW][C]49[/C][C]4039.2[/C][C]3767.33492655487[/C][C]271.865073445133[/C][/ROW]
[ROW][C]50[/C][C]4184.7[/C][C]4119.11511173272[/C][C]65.5848882672808[/C][/ROW]
[ROW][C]51[/C][C]4329.9[/C][C]4256.66674059722[/C][C]73.2332594027794[/C][/ROW]
[ROW][C]52[/C][C]4867.8[/C][C]4440.35333053209[/C][C]427.446669467906[/C][/ROW]
[ROW][C]53[/C][C]5405.7[/C][C]4924.9537520205[/C][C]480.746247979499[/C][/ROW]
[ROW][C]54[/C][C]5943.6[/C][C]5543.26613153643[/C][C]400.333868463574[/C][/ROW]
[ROW][C]55[/C][C]6440.7[/C][C]6147.02338514677[/C][C]293.676614853232[/C][/ROW]
[ROW][C]56[/C][C]6938.4[/C][C]6038.74238685194[/C][C]899.657613148058[/C][/ROW]
[ROW][C]57[/C][C]7435.8[/C][C]6194.9237882978[/C][C]1240.8762117022[/C][/ROW]
[ROW][C]58[/C][C]6696.3[/C][C]6798.35758016513[/C][C]-102.057580165126[/C][/ROW]
[ROW][C]59[/C][C]5957.1[/C][C]6661.14480883254[/C][C]-704.04480883254[/C][/ROW]
[ROW][C]60[/C][C]5217.9[/C][C]6224.74868013814[/C][C]-1006.84868013814[/C][/ROW]
[ROW][C]61[/C][C]4781.7[/C][C]5553.32803561266[/C][C]-771.628035612658[/C][/ROW]
[ROW][C]62[/C][C]4345.2[/C][C]5184.64019014485[/C][C]-839.440190144854[/C][/ROW]
[ROW][C]63[/C][C]3909[/C][C]4724.38304990683[/C][C]-815.383049906825[/C][/ROW]
[ROW][C]64[/C][C]3944.7[/C][C]4343.11247858689[/C][C]-398.412478586894[/C][/ROW]
[ROW][C]65[/C][C]3980.1[/C][C]4316.94269611617[/C][C]-336.842696116172[/C][/ROW]
[ROW][C]66[/C][C]4015.5[/C][C]3879.75836693602[/C][C]135.741633063981[/C][/ROW]
[ROW][C]67[/C][C]3983.7[/C][C]3541.59610183738[/C][C]442.103898162618[/C][/ROW]
[ROW][C]68[/C][C]3951.6[/C][C]3213.52182880289[/C][C]738.078171197109[/C][/ROW]
[ROW][C]69[/C][C]3919.8[/C][C]3564.67187940866[/C][C]355.12812059134[/C][/ROW]
[ROW][C]70[/C][C]3992.1[/C][C]3855.22557875595[/C][C]136.874421244051[/C][/ROW]
[ROW][C]71[/C][C]4064.4[/C][C]4105.91963254102[/C][C]-41.5196325410247[/C][/ROW]
[ROW][C]72[/C][C]4136.7[/C][C]4272.70571313925[/C][C]-136.005713139249[/C][/ROW]
[ROW][C]73[/C][C]3950.1[/C][C]4350.16448134618[/C][C]-400.064481346181[/C][/ROW]
[ROW][C]74[/C][C]3763.2[/C][C]4384.61544688994[/C][C]-621.415446889944[/C][/ROW]
[ROW][C]75[/C][C]3577.2[/C][C]4204.85771242209[/C][C]-627.657712422093[/C][/ROW]
[ROW][C]76[/C][C]3690.3[/C][C]3663.07218351107[/C][C]27.2278164889294[/C][/ROW]
[ROW][C]77[/C][C]3804[/C][C]3317.59563656448[/C][C]486.404363435522[/C][/ROW]
[ROW][C]78[/C][C]3917.7[/C][C]3095.21190013629[/C][C]822.488099863708[/C][/ROW]
[ROW][C]79[/C][C]3900.9[/C][C]3416.77009781251[/C][C]484.129902187487[/C][/ROW]
[ROW][C]80[/C][C]3884.1[/C][C]3751.62054355329[/C][C]132.479456446707[/C][/ROW]
[ROW][C]81[/C][C]3867[/C][C]3955.47653295943[/C][C]-88.4765329594334[/C][/ROW]
[ROW][C]82[/C][C]3915[/C][C]4063.71205630381[/C][C]-148.712056303807[/C][/ROW]
[ROW][C]83[/C][C]3962.4[/C][C]4067.15280397929[/C][C]-104.752803979294[/C][/ROW]
[ROW][C]84[/C][C]4009.5[/C][C]4270.88740771618[/C][C]-261.387407716179[/C][/ROW]
[ROW][C]85[/C][C]3820.2[/C][C]4361.81444570241[/C][C]-541.614445702408[/C][/ROW]
[ROW][C]86[/C][C]3631.2[/C][C]4044.82824781499[/C][C]-413.62824781499[/C][/ROW]
[ROW][C]87[/C][C]3441.9[/C][C]3478.0380144483[/C][C]-36.1380144483023[/C][/ROW]
[ROW][C]88[/C][C]3557.7[/C][C]2942.55410977723[/C][C]615.145890222774[/C][/ROW]
[ROW][C]89[/C][C]3674.1[/C][C]3024.81174297679[/C][C]649.288257023209[/C][/ROW]
[ROW][C]90[/C][C]3789.9[/C][C]3398.75685255858[/C][C]391.143147441424[/C][/ROW]
[ROW][C]91[/C][C]3886.2[/C][C]3744.28427756906[/C][C]141.915722430939[/C][/ROW]
[ROW][C]92[/C][C]3981.9[/C][C]4012.02005436416[/C][C]-30.1200543641557[/C][/ROW]
[ROW][C]93[/C][C]4078.2[/C][C]4115.84785105459[/C][C]-37.6478510545885[/C][/ROW]
[ROW][C]94[/C][C]4181.4[/C][C]4332.11125827209[/C][C]-150.711258272094[/C][/ROW]
[ROW][C]95[/C][C]4284.9[/C][C]4438.36255042877[/C][C]-153.462550428771[/C][/ROW]
[ROW][C]96[/C][C]4388.4[/C][C]4446.06677415948[/C][C]-57.6667741594802[/C][/ROW]
[ROW][C]97[/C][C]4190.1[/C][C]4240.48946316338[/C][C]-50.3894631633821[/C][/ROW]
[ROW][C]98[/C][C]3991.8[/C][C]3853.09624296409[/C][C]138.703757035914[/C][/ROW]
[ROW][C]99[/C][C]3793.5[/C][C]3583.45715815024[/C][C]210.042841849764[/C][/ROW]
[ROW][C]100[/C][C]3734.7[/C][C]3562.33213157412[/C][C]172.36786842588[/C][/ROW]
[ROW][C]101[/C][C]3675.9[/C][C]3681.65617278727[/C][C]-5.75617278727213[/C][/ROW]
[ROW][C]102[/C][C]3617.4[/C][C]3795.77704248991[/C][C]-178.377042489913[/C][/ROW]
[ROW][C]103[/C][C]3557.7[/C][C]3785.67551978478[/C][C]-227.975519784782[/C][/ROW]
[ROW][C]104[/C][C]3498[/C][C]3830.45810835941[/C][C]-332.458108359409[/C][/ROW]
[ROW][C]105[/C][C]3438.6[/C][C]3798.62442437369[/C][C]-360.024424373687[/C][/ROW]
[ROW][C]106[/C][C]3478.5[/C][C]3673.52001006408[/C][C]-195.02001006408[/C][/ROW]
[ROW][C]107[/C][C]3518.7[/C][C]3365.86877836186[/C][C]152.831221638137[/C][/ROW]
[ROW][C]108[/C][C]3558.9[/C][C]3178.2501709735[/C][C]380.649829026498[/C][/ROW]
[ROW][C]109[/C][C]3401.1[/C][C]3108.94148425112[/C][C]292.158515748884[/C][/ROW]
[ROW][C]110[/C][C]3230.7[/C][C]3140.71194195789[/C][C]89.9880580421145[/C][/ROW]
[ROW][C]111[/C][C]3060.3[/C][C]3154.30155669649[/C][C]-94.0015566964885[/C][/ROW]
[ROW][C]112[/C][C]3043.5[/C][C]3159.5955718247[/C][C]-116.095571824696[/C][/ROW]
[ROW][C]113[/C][C]3026.4[/C][C]3184.48496441418[/C][C]-158.084964414184[/C][/ROW]
[ROW][C]114[/C][C]3009.6[/C][C]3256.62376662303[/C][C]-247.023766623032[/C][/ROW]
[ROW][C]115[/C][C]3159[/C][C]3282.6604974727[/C][C]-123.660497472698[/C][/ROW]
[ROW][C]116[/C][C]3308.1[/C][C]3376.51348847463[/C][C]-68.4134884746281[/C][/ROW]
[ROW][C]117[/C][C]3457.5[/C][C]3249.43636703055[/C][C]208.063632969448[/C][/ROW]
[ROW][C]118[/C][C]3327.6[/C][C]3159.14862762792[/C][C]168.451372372083[/C][/ROW]
[ROW][C]119[/C][C]3198[/C][C]2907.81701353602[/C][C]290.182986463981[/C][/ROW]
[ROW][C]120[/C][C]3068.1[/C][C]2888.7789662672[/C][C]179.321033732797[/C][/ROW]
[ROW][C]121[/C][C]3108[/C][C]2925.03075979187[/C][C]182.969240208125[/C][/ROW]
[ROW][C]122[/C][C]3147.6[/C][C]3134.34554850961[/C][C]13.2544514903921[/C][/ROW]
[ROW][C]123[/C][C]3187.5[/C][C]3246.79063127257[/C][C]-59.2906312725745[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298814&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298814&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
1160305681.11390909091348.886090909087
126242.46235.31412386817.08587613189957
136425.16540.65847161438-115.558471614377
146610.86766.72975620413-155.929756204127
156943.57109.84740806281-166.347408062815
165316.35765.31355605282-449.013556052821
174356.65020.4835002007-663.883500200696
184073.14347.42111045983-274.321110459834
194239.94220.2812721276119.6187278723937
204401.34277.07136897345124.228631026553
214590.64528.6119600395361.9880399604663
2246714782.52199624159-111.521996241587
234772.14968.27386573395-196.173865733951
244875.35123.54638661457-248.246386614573
254601.75394.32479140732-792.624791407322
264482.33507.32966086319974.970339136807
274455.63786.72257554677668.877424453229
284487.74216.34939240992271.350607590076
294606.84573.4770354682333.3229645317724
304727.74666.145727919961.5542720801031
314617.94855.11776779662-237.217767796625
324507.84840.48260590416-332.682605904155
334398.64838.37205187107-439.772051871065
344334.74796.76469376321-462.06469376321
354272.94773.09221325055-500.192213250553
364209.63538.3618385732671.238161426803
373963.33513.44672773608449.853272263916
3837173680.5077485058836.4922514941172
393469.53802.00396037382-332.503960373824
403587.13624.9672242926-37.8672242926018
413703.53665.890760501337.6092394986958
423819.63835.75837627676-16.158376276765
4337774046.84118087644-269.841180876444
443732.94128.2761626402-395.376162640201
453687.64145.72473413508-458.124734135085
463756.33228.54409608932527.755903910685
473824.73041.14416184975783.555838150252
483893.73359.67866680958534.02133319042
494039.23767.33492655487271.865073445133
504184.74119.1151117327265.5848882672808
514329.94256.6667405972273.2332594027794
524867.84440.35333053209427.446669467906
535405.74924.9537520205480.746247979499
545943.65543.26613153643400.333868463574
556440.76147.02338514677293.676614853232
566938.46038.74238685194899.657613148058
577435.86194.92378829781240.8762117022
586696.36798.35758016513-102.057580165126
595957.16661.14480883254-704.04480883254
605217.96224.74868013814-1006.84868013814
614781.75553.32803561266-771.628035612658
624345.25184.64019014485-839.440190144854
6339094724.38304990683-815.383049906825
643944.74343.11247858689-398.412478586894
653980.14316.94269611617-336.842696116172
664015.53879.75836693602135.741633063981
673983.73541.59610183738442.103898162618
683951.63213.52182880289738.078171197109
693919.83564.67187940866355.12812059134
703992.13855.22557875595136.874421244051
714064.44105.91963254102-41.5196325410247
724136.74272.70571313925-136.005713139249
733950.14350.16448134618-400.064481346181
743763.24384.61544688994-621.415446889944
753577.24204.85771242209-627.657712422093
763690.33663.0721835110727.2278164889294
7738043317.59563656448486.404363435522
783917.73095.21190013629822.488099863708
793900.93416.77009781251484.129902187487
803884.13751.62054355329132.479456446707
8138673955.47653295943-88.4765329594334
8239154063.71205630381-148.712056303807
833962.44067.15280397929-104.752803979294
844009.54270.88740771618-261.387407716179
853820.24361.81444570241-541.614445702408
863631.24044.82824781499-413.62824781499
873441.93478.0380144483-36.1380144483023
883557.72942.55410977723615.145890222774
893674.13024.81174297679649.288257023209
903789.93398.75685255858391.143147441424
913886.23744.28427756906141.915722430939
923981.94012.02005436416-30.1200543641557
934078.24115.84785105459-37.6478510545885
944181.44332.11125827209-150.711258272094
954284.94438.36255042877-153.462550428771
964388.44446.06677415948-57.6667741594802
974190.14240.48946316338-50.3894631633821
983991.83853.09624296409138.703757035914
993793.53583.45715815024210.042841849764
1003734.73562.33213157412172.36786842588
1013675.93681.65617278727-5.75617278727213
1023617.43795.77704248991-178.377042489913
1033557.73785.67551978478-227.975519784782
10434983830.45810835941-332.458108359409
1053438.63798.62442437369-360.024424373687
1063478.53673.52001006408-195.02001006408
1073518.73365.86877836186152.831221638137
1083558.93178.2501709735380.649829026498
1093401.13108.94148425112292.158515748884
1103230.73140.7119419578989.9880580421145
1113060.33154.30155669649-94.0015566964885
1123043.53159.5955718247-116.095571824696
1133026.43184.48496441418-158.084964414184
1143009.63256.62376662303-247.023766623032
11531593282.6604974727-123.660497472698
1163308.13376.51348847463-68.4134884746281
1173457.53249.43636703055208.063632969448
1183327.63159.14862762792168.451372372083
11931982907.81701353602290.182986463981
1203068.12888.7789662672179.321033732797
12131082925.03075979187182.969240208125
1223147.63134.3455485096113.2544514903921
1233187.53246.79063127257-59.2906312725745







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1243371.930560435582566.735643545614177.12547732555
1253614.826906825212605.391777683784624.26203596663
1263815.652488938112636.848134643444994.45684323278
1273807.741222229922481.015880848595134.46656361124
1283550.479710809622090.746667673755010.21275394549
1293201.480229380221619.885786110384783.07467265005
1302936.000461972851241.284731019334630.71619292637
1312837.562384650121036.817584712984638.30718458726
1322867.14105356156966.2722363466624768.00987077646
1332951.86909090909955.8924662916364947.84571552654
1343136.29965134467984.0307229333695288.56857975597
1353379.195997734291142.483685888175615.90830958042

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
124 & 3371.93056043558 & 2566.73564354561 & 4177.12547732555 \tabularnewline
125 & 3614.82690682521 & 2605.39177768378 & 4624.26203596663 \tabularnewline
126 & 3815.65248893811 & 2636.84813464344 & 4994.45684323278 \tabularnewline
127 & 3807.74122222992 & 2481.01588084859 & 5134.46656361124 \tabularnewline
128 & 3550.47971080962 & 2090.74666767375 & 5010.21275394549 \tabularnewline
129 & 3201.48022938022 & 1619.88578611038 & 4783.07467265005 \tabularnewline
130 & 2936.00046197285 & 1241.28473101933 & 4630.71619292637 \tabularnewline
131 & 2837.56238465012 & 1036.81758471298 & 4638.30718458726 \tabularnewline
132 & 2867.14105356156 & 966.272236346662 & 4768.00987077646 \tabularnewline
133 & 2951.86909090909 & 955.892466291636 & 4947.84571552654 \tabularnewline
134 & 3136.29965134467 & 984.030722933369 & 5288.56857975597 \tabularnewline
135 & 3379.19599773429 & 1142.48368588817 & 5615.90830958042 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298814&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]124[/C][C]3371.93056043558[/C][C]2566.73564354561[/C][C]4177.12547732555[/C][/ROW]
[ROW][C]125[/C][C]3614.82690682521[/C][C]2605.39177768378[/C][C]4624.26203596663[/C][/ROW]
[ROW][C]126[/C][C]3815.65248893811[/C][C]2636.84813464344[/C][C]4994.45684323278[/C][/ROW]
[ROW][C]127[/C][C]3807.74122222992[/C][C]2481.01588084859[/C][C]5134.46656361124[/C][/ROW]
[ROW][C]128[/C][C]3550.47971080962[/C][C]2090.74666767375[/C][C]5010.21275394549[/C][/ROW]
[ROW][C]129[/C][C]3201.48022938022[/C][C]1619.88578611038[/C][C]4783.07467265005[/C][/ROW]
[ROW][C]130[/C][C]2936.00046197285[/C][C]1241.28473101933[/C][C]4630.71619292637[/C][/ROW]
[ROW][C]131[/C][C]2837.56238465012[/C][C]1036.81758471298[/C][C]4638.30718458726[/C][/ROW]
[ROW][C]132[/C][C]2867.14105356156[/C][C]966.272236346662[/C][C]4768.00987077646[/C][/ROW]
[ROW][C]133[/C][C]2951.86909090909[/C][C]955.892466291636[/C][C]4947.84571552654[/C][/ROW]
[ROW][C]134[/C][C]3136.29965134467[/C][C]984.030722933369[/C][C]5288.56857975597[/C][/ROW]
[ROW][C]135[/C][C]3379.19599773429[/C][C]1142.48368588817[/C][C]5615.90830958042[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298814&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298814&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
1243371.930560435582566.735643545614177.12547732555
1253614.826906825212605.391777683784624.26203596663
1263815.652488938112636.848134643444994.45684323278
1273807.741222229922481.015880848595134.46656361124
1283550.479710809622090.746667673755010.21275394549
1293201.480229380221619.885786110384783.07467265005
1302936.000461972851241.284731019334630.71619292637
1312837.562384650121036.817584712984638.30718458726
1322867.14105356156966.2722363466624768.00987077646
1332951.86909090909955.8924662916364947.84571552654
1343136.29965134467984.0307229333695288.56857975597
1353379.195997734291142.483685888175615.90830958042



Parameters (Session):
par1 = 10 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 10 ; par2 = Triple ; 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')