Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 09 Aug 2015 18:45:12 +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/2015/Aug/09/t1439142408r375sj3g3dv2em6.htm/, Retrieved Wed, 15 May 2024 16:26:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279960, Retrieved Wed, 15 May 2024 16:26:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsExponential Smoothing Reeks A Sebastiaan Lunders Reeks A Sebastiaan Lunders MAR204A Omzet Mercedes A-klasse euro Ottevaere
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Cijferreeks A 2de...] [2015-08-05 23:58:24] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP   [(Partial) Autocorrelation Function] [Autocorrelation R...] [2015-08-09 16:24:48] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP     [Standard Deviation Plot] [Standard Deviatio...] [2015-08-09 16:43:04] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RM        [Standard Deviation-Mean Plot] [Standard Deviatio...] [2015-08-09 17:04:17] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP         [Classical Decomposition] [Classic Decomposi...] [2015-08-09 17:24:10] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP             [Exponential Smoothing] [Exponential Smoot...] [2015-08-09 17:45:12] [2cf7618d5ff65529ef2e27cea5366de0] [Current]
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Dataseries X:
3221816.00
3209817.00
3197649.00
3172468.00
3421574.00
3408392.00
3221816.00
3097770.00
3109769.00
3109769.00
3123120.00
3147118.00
3184467.00
3184467.00
3160469.00
3097770.00
3421574.00
3470922.00
3396393.00
3221816.00
3296514.00
3184467.00
3234998.00
3259165.00
3284346.00
3221816.00
3234998.00
3147118.00
3421574.00
3508271.00
3433742.00
3296514.00
3445741.00
3284346.00
3433742.00
3421574.00
3458923.00
3321695.00
3470922.00
3458923.00
3682848.00
3632317.00
3433742.00
3333694.00
3470922.00
3284346.00
3421574.00
3445741.00
3496272.00
3384394.00
3445741.00
3483090.00
3620318.00
3508271.00
3359044.00
3197649.00
3347045.00
2936375.00
3135119.00
3246997.00
3359044.00
3197649.00
3197649.00
3197649.00
3284346.00
3160469.00
2997891.00
2861846.00
2960542.00
2575222.00
2811315.00
2948543.00
2973724.00
2836496.00
2848495.00
2811315.00
2936375.00
2848495.00
2675270.00
2550041.00
2761798.00
2301949.00
2600572.00
2736617.00
2736617.00
2575222.00
2425995.00
2413996.00
2550041.00
2425995.00
2190071.00
2027493.00
2202070.00
1791569.00
2164721.00
2363296.00
2425995.00
2288767.00
2115373.00
2239419.00
2288767.00
2251418.00
1878097.00
1704872.00
1828749.00
1455597.00
1840917.00
1978145.00
2090023.00
1903447.00
1728870.00
1828749.00
1878097.00
1779401.00
1406249.00
1243671.00
1392898.00
982397.00
1430247.00
1704872.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279960&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279960&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279960&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.405343002238568
beta0.0645195510985084
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.405343002238568 \tabularnewline
beta & 0.0645195510985084 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279960&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]0.405343002238568[/C][/ROW]
[ROW][C]beta[/C][C]0.0645195510985084[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279960&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279960&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
alpha0.405343002238568
beta0.0645195510985084
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1331844673184328.51388889138.486111110076
1431844673177339.561696357127.43830365408
1531604693148864.9330442711604.0669557308
1630977703085863.5170809811906.4829190169
1734215743412918.526518068655.47348194243
1834709223462869.916386698052.08361331141
1933963933276546.43390204119846.566097964
2032218163213461.897385968354.10261404235
2132965143241441.1104018355072.889598167
2231844673279854.91988021-95387.9198802128
2332349983266587.68925341-31589.6892534066
2432591653283283.64075131-24118.6407513134
2532843463308536.47562423-24190.4756242288
2632218163297289.06107258-75473.0610725791
2732349983237281.82570519-2283.82570519252
2831471183167754.54875168-20636.5487516765
2934215743477757.81464919-56183.814649194
3035082713497445.1122968210825.8877031845
3134337423375174.7547571458567.2452428569
3232965143215798.101875680715.8981243973
3334457413297629.56244143148111.43755857
3432843463283455.76467433890.235325671732
3534337423348842.6355890784899.3644109275
3634215743421936.16750393-362.167503932491
3734589233462133.94417989-3210.94417988556
3833216953434801.69452805-113106.694528047
3934709223407985.0116755862936.9883244191
4034589233360609.2421196698313.7578803403
4136828483707428.88769399-24580.8876939882
4236323173790339.63182292-158022.631822919
4334337423634167.25446288-200425.254462885
4433336943382357.1553632-48663.1553631974
4534709223447815.8588697823106.1411302174
4632843463288149.62150854-3803.62150854478
4734215743394191.431252227382.5687478036
4834457413384366.2995138261374.7004861846
4934962723440605.9486344555666.0513655534
5033843943366039.8936453818354.1063546152
5134457413494884.66289057-49143.6628905716
5234830903417872.7630523165217.2369476859
5336203183672089.17991897-51771.1799189686
5435082713657807.74241755-149536.742417552
5533590443473263.25229572-114219.252295715
5631976493342300.26143288-144651.261432878
5733470453404676.35290928-57631.3529092767
5829363753187317.54810638-250942.548106382
5931351193196300.98631378-61181.9863137794
6032469973153046.878787793950.1212123027
6133590443202204.37671504156839.623284957
6231976493132214.7767830365434.2232169709
6331976493226990.65103865-29341.6510386541
6431976493213514.27048083-15865.2704808293
6532843463350679.36838579-66333.3683857857
6631604693257360.32424659-96891.32424659
6729978913101535.94091339-103644.940913393
6828618462943417.97346407-81571.9734640745
6929605423071414.90207431-110872.902074305
7025752222704433.84234164-129211.84234164
7128113152865698.67387162-54383.6738716206
7229485432907724.658849240818.341150796
7329737242961627.7633783612096.2366216434
7428364962763711.694665172784.3053349028
7528484952790399.0707140958095.9292859086
7628113152807956.775326893358.22467311425
7729363752910983.5681285725391.4318714272
7828484952827152.658147421342.3418526007
7926752702708809.1208097-33539.120809705
8025500412587639.08959858-37598.0895985807
8127617982712591.7392963549206.2607036503
8223019492400333.96413448-98384.9641344789
8326005722620139.24576182-19567.2457618159
8427366172735348.805721891268.19427810749
8527366172757564.83244511-20947.8324451065
8625752222582903.07760582-7681.07760582259
8724259952566695.36461519-140700.364615188
8824139962464378.73026906-50382.7302690567
8925500412550575.24769616-534.24769616453
9024259952445000.74641751-19005.7464175075
9121900712267784.56389688-77713.5638968819
9220274932115257.57871187-87764.5787118673
9322020702259144.96750544-57074.9675054424
9417915691800911.72064272-9342.72064272175
9521647212090878.8770276673842.1229723357
9623632962245983.82089595117312.179104053
9724259952294704.0047405131290.995259505
9822887672186299.25098875102467.749011251
9921153732135178.3057558-19805.305755802
10022394192138274.92624546101144.073754536
10122887672322198.60985975-33431.6098597543
10222514182198108.9247360853309.0752639216
10318780972022988.9892132-144891.989213199
10417048721843192.86065965-138320.860659648
10518287491989453.29832023-160704.298320231
10614555971519504.66280727-63907.6628072688
10718409171837299.459589223617.54041078244
10819781451988431.29010591-10286.2901059131
10920900231989048.05974984100974.940250163
11019034471845727.2496072457719.7503927571
11117288701697099.5038514331770.4961485709
11218287491787716.2635278841032.7364721179
11318780971860366.6544626617730.3455373435
11417794011803052.87009453-23651.8700945294
11514062491471319.78386535-65070.783865348
11612436711322317.79775066-78646.7977506588
11713928981475548.46805815-82650.4680581517
1189823971092932.7463629-110535.746362895
11914302471428895.61042341351.38957660343
12017048721567695.69686204137176.303137959

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 3184467 & 3184328.51388889 & 138.486111110076 \tabularnewline
14 & 3184467 & 3177339.56169635 & 7127.43830365408 \tabularnewline
15 & 3160469 & 3148864.93304427 & 11604.0669557308 \tabularnewline
16 & 3097770 & 3085863.51708098 & 11906.4829190169 \tabularnewline
17 & 3421574 & 3412918.52651806 & 8655.47348194243 \tabularnewline
18 & 3470922 & 3462869.91638669 & 8052.08361331141 \tabularnewline
19 & 3396393 & 3276546.43390204 & 119846.566097964 \tabularnewline
20 & 3221816 & 3213461.89738596 & 8354.10261404235 \tabularnewline
21 & 3296514 & 3241441.11040183 & 55072.889598167 \tabularnewline
22 & 3184467 & 3279854.91988021 & -95387.9198802128 \tabularnewline
23 & 3234998 & 3266587.68925341 & -31589.6892534066 \tabularnewline
24 & 3259165 & 3283283.64075131 & -24118.6407513134 \tabularnewline
25 & 3284346 & 3308536.47562423 & -24190.4756242288 \tabularnewline
26 & 3221816 & 3297289.06107258 & -75473.0610725791 \tabularnewline
27 & 3234998 & 3237281.82570519 & -2283.82570519252 \tabularnewline
28 & 3147118 & 3167754.54875168 & -20636.5487516765 \tabularnewline
29 & 3421574 & 3477757.81464919 & -56183.814649194 \tabularnewline
30 & 3508271 & 3497445.11229682 & 10825.8877031845 \tabularnewline
31 & 3433742 & 3375174.75475714 & 58567.2452428569 \tabularnewline
32 & 3296514 & 3215798.1018756 & 80715.8981243973 \tabularnewline
33 & 3445741 & 3297629.56244143 & 148111.43755857 \tabularnewline
34 & 3284346 & 3283455.76467433 & 890.235325671732 \tabularnewline
35 & 3433742 & 3348842.63558907 & 84899.3644109275 \tabularnewline
36 & 3421574 & 3421936.16750393 & -362.167503932491 \tabularnewline
37 & 3458923 & 3462133.94417989 & -3210.94417988556 \tabularnewline
38 & 3321695 & 3434801.69452805 & -113106.694528047 \tabularnewline
39 & 3470922 & 3407985.01167558 & 62936.9883244191 \tabularnewline
40 & 3458923 & 3360609.24211966 & 98313.7578803403 \tabularnewline
41 & 3682848 & 3707428.88769399 & -24580.8876939882 \tabularnewline
42 & 3632317 & 3790339.63182292 & -158022.631822919 \tabularnewline
43 & 3433742 & 3634167.25446288 & -200425.254462885 \tabularnewline
44 & 3333694 & 3382357.1553632 & -48663.1553631974 \tabularnewline
45 & 3470922 & 3447815.85886978 & 23106.1411302174 \tabularnewline
46 & 3284346 & 3288149.62150854 & -3803.62150854478 \tabularnewline
47 & 3421574 & 3394191.4312522 & 27382.5687478036 \tabularnewline
48 & 3445741 & 3384366.29951382 & 61374.7004861846 \tabularnewline
49 & 3496272 & 3440605.94863445 & 55666.0513655534 \tabularnewline
50 & 3384394 & 3366039.89364538 & 18354.1063546152 \tabularnewline
51 & 3445741 & 3494884.66289057 & -49143.6628905716 \tabularnewline
52 & 3483090 & 3417872.76305231 & 65217.2369476859 \tabularnewline
53 & 3620318 & 3672089.17991897 & -51771.1799189686 \tabularnewline
54 & 3508271 & 3657807.74241755 & -149536.742417552 \tabularnewline
55 & 3359044 & 3473263.25229572 & -114219.252295715 \tabularnewline
56 & 3197649 & 3342300.26143288 & -144651.261432878 \tabularnewline
57 & 3347045 & 3404676.35290928 & -57631.3529092767 \tabularnewline
58 & 2936375 & 3187317.54810638 & -250942.548106382 \tabularnewline
59 & 3135119 & 3196300.98631378 & -61181.9863137794 \tabularnewline
60 & 3246997 & 3153046.8787877 & 93950.1212123027 \tabularnewline
61 & 3359044 & 3202204.37671504 & 156839.623284957 \tabularnewline
62 & 3197649 & 3132214.77678303 & 65434.2232169709 \tabularnewline
63 & 3197649 & 3226990.65103865 & -29341.6510386541 \tabularnewline
64 & 3197649 & 3213514.27048083 & -15865.2704808293 \tabularnewline
65 & 3284346 & 3350679.36838579 & -66333.3683857857 \tabularnewline
66 & 3160469 & 3257360.32424659 & -96891.32424659 \tabularnewline
67 & 2997891 & 3101535.94091339 & -103644.940913393 \tabularnewline
68 & 2861846 & 2943417.97346407 & -81571.9734640745 \tabularnewline
69 & 2960542 & 3071414.90207431 & -110872.902074305 \tabularnewline
70 & 2575222 & 2704433.84234164 & -129211.84234164 \tabularnewline
71 & 2811315 & 2865698.67387162 & -54383.6738716206 \tabularnewline
72 & 2948543 & 2907724.6588492 & 40818.341150796 \tabularnewline
73 & 2973724 & 2961627.76337836 & 12096.2366216434 \tabularnewline
74 & 2836496 & 2763711.6946651 & 72784.3053349028 \tabularnewline
75 & 2848495 & 2790399.07071409 & 58095.9292859086 \tabularnewline
76 & 2811315 & 2807956.77532689 & 3358.22467311425 \tabularnewline
77 & 2936375 & 2910983.56812857 & 25391.4318714272 \tabularnewline
78 & 2848495 & 2827152.6581474 & 21342.3418526007 \tabularnewline
79 & 2675270 & 2708809.1208097 & -33539.120809705 \tabularnewline
80 & 2550041 & 2587639.08959858 & -37598.0895985807 \tabularnewline
81 & 2761798 & 2712591.73929635 & 49206.2607036503 \tabularnewline
82 & 2301949 & 2400333.96413448 & -98384.9641344789 \tabularnewline
83 & 2600572 & 2620139.24576182 & -19567.2457618159 \tabularnewline
84 & 2736617 & 2735348.80572189 & 1268.19427810749 \tabularnewline
85 & 2736617 & 2757564.83244511 & -20947.8324451065 \tabularnewline
86 & 2575222 & 2582903.07760582 & -7681.07760582259 \tabularnewline
87 & 2425995 & 2566695.36461519 & -140700.364615188 \tabularnewline
88 & 2413996 & 2464378.73026906 & -50382.7302690567 \tabularnewline
89 & 2550041 & 2550575.24769616 & -534.24769616453 \tabularnewline
90 & 2425995 & 2445000.74641751 & -19005.7464175075 \tabularnewline
91 & 2190071 & 2267784.56389688 & -77713.5638968819 \tabularnewline
92 & 2027493 & 2115257.57871187 & -87764.5787118673 \tabularnewline
93 & 2202070 & 2259144.96750544 & -57074.9675054424 \tabularnewline
94 & 1791569 & 1800911.72064272 & -9342.72064272175 \tabularnewline
95 & 2164721 & 2090878.87702766 & 73842.1229723357 \tabularnewline
96 & 2363296 & 2245983.82089595 & 117312.179104053 \tabularnewline
97 & 2425995 & 2294704.0047405 & 131290.995259505 \tabularnewline
98 & 2288767 & 2186299.25098875 & 102467.749011251 \tabularnewline
99 & 2115373 & 2135178.3057558 & -19805.305755802 \tabularnewline
100 & 2239419 & 2138274.92624546 & 101144.073754536 \tabularnewline
101 & 2288767 & 2322198.60985975 & -33431.6098597543 \tabularnewline
102 & 2251418 & 2198108.92473608 & 53309.0752639216 \tabularnewline
103 & 1878097 & 2022988.9892132 & -144891.989213199 \tabularnewline
104 & 1704872 & 1843192.86065965 & -138320.860659648 \tabularnewline
105 & 1828749 & 1989453.29832023 & -160704.298320231 \tabularnewline
106 & 1455597 & 1519504.66280727 & -63907.6628072688 \tabularnewline
107 & 1840917 & 1837299.45958922 & 3617.54041078244 \tabularnewline
108 & 1978145 & 1988431.29010591 & -10286.2901059131 \tabularnewline
109 & 2090023 & 1989048.05974984 & 100974.940250163 \tabularnewline
110 & 1903447 & 1845727.24960724 & 57719.7503927571 \tabularnewline
111 & 1728870 & 1697099.50385143 & 31770.4961485709 \tabularnewline
112 & 1828749 & 1787716.26352788 & 41032.7364721179 \tabularnewline
113 & 1878097 & 1860366.65446266 & 17730.3455373435 \tabularnewline
114 & 1779401 & 1803052.87009453 & -23651.8700945294 \tabularnewline
115 & 1406249 & 1471319.78386535 & -65070.783865348 \tabularnewline
116 & 1243671 & 1322317.79775066 & -78646.7977506588 \tabularnewline
117 & 1392898 & 1475548.46805815 & -82650.4680581517 \tabularnewline
118 & 982397 & 1092932.7463629 & -110535.746362895 \tabularnewline
119 & 1430247 & 1428895.6104234 & 1351.38957660343 \tabularnewline
120 & 1704872 & 1567695.69686204 & 137176.303137959 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279960&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]3184467[/C][C]3184328.51388889[/C][C]138.486111110076[/C][/ROW]
[ROW][C]14[/C][C]3184467[/C][C]3177339.56169635[/C][C]7127.43830365408[/C][/ROW]
[ROW][C]15[/C][C]3160469[/C][C]3148864.93304427[/C][C]11604.0669557308[/C][/ROW]
[ROW][C]16[/C][C]3097770[/C][C]3085863.51708098[/C][C]11906.4829190169[/C][/ROW]
[ROW][C]17[/C][C]3421574[/C][C]3412918.52651806[/C][C]8655.47348194243[/C][/ROW]
[ROW][C]18[/C][C]3470922[/C][C]3462869.91638669[/C][C]8052.08361331141[/C][/ROW]
[ROW][C]19[/C][C]3396393[/C][C]3276546.43390204[/C][C]119846.566097964[/C][/ROW]
[ROW][C]20[/C][C]3221816[/C][C]3213461.89738596[/C][C]8354.10261404235[/C][/ROW]
[ROW][C]21[/C][C]3296514[/C][C]3241441.11040183[/C][C]55072.889598167[/C][/ROW]
[ROW][C]22[/C][C]3184467[/C][C]3279854.91988021[/C][C]-95387.9198802128[/C][/ROW]
[ROW][C]23[/C][C]3234998[/C][C]3266587.68925341[/C][C]-31589.6892534066[/C][/ROW]
[ROW][C]24[/C][C]3259165[/C][C]3283283.64075131[/C][C]-24118.6407513134[/C][/ROW]
[ROW][C]25[/C][C]3284346[/C][C]3308536.47562423[/C][C]-24190.4756242288[/C][/ROW]
[ROW][C]26[/C][C]3221816[/C][C]3297289.06107258[/C][C]-75473.0610725791[/C][/ROW]
[ROW][C]27[/C][C]3234998[/C][C]3237281.82570519[/C][C]-2283.82570519252[/C][/ROW]
[ROW][C]28[/C][C]3147118[/C][C]3167754.54875168[/C][C]-20636.5487516765[/C][/ROW]
[ROW][C]29[/C][C]3421574[/C][C]3477757.81464919[/C][C]-56183.814649194[/C][/ROW]
[ROW][C]30[/C][C]3508271[/C][C]3497445.11229682[/C][C]10825.8877031845[/C][/ROW]
[ROW][C]31[/C][C]3433742[/C][C]3375174.75475714[/C][C]58567.2452428569[/C][/ROW]
[ROW][C]32[/C][C]3296514[/C][C]3215798.1018756[/C][C]80715.8981243973[/C][/ROW]
[ROW][C]33[/C][C]3445741[/C][C]3297629.56244143[/C][C]148111.43755857[/C][/ROW]
[ROW][C]34[/C][C]3284346[/C][C]3283455.76467433[/C][C]890.235325671732[/C][/ROW]
[ROW][C]35[/C][C]3433742[/C][C]3348842.63558907[/C][C]84899.3644109275[/C][/ROW]
[ROW][C]36[/C][C]3421574[/C][C]3421936.16750393[/C][C]-362.167503932491[/C][/ROW]
[ROW][C]37[/C][C]3458923[/C][C]3462133.94417989[/C][C]-3210.94417988556[/C][/ROW]
[ROW][C]38[/C][C]3321695[/C][C]3434801.69452805[/C][C]-113106.694528047[/C][/ROW]
[ROW][C]39[/C][C]3470922[/C][C]3407985.01167558[/C][C]62936.9883244191[/C][/ROW]
[ROW][C]40[/C][C]3458923[/C][C]3360609.24211966[/C][C]98313.7578803403[/C][/ROW]
[ROW][C]41[/C][C]3682848[/C][C]3707428.88769399[/C][C]-24580.8876939882[/C][/ROW]
[ROW][C]42[/C][C]3632317[/C][C]3790339.63182292[/C][C]-158022.631822919[/C][/ROW]
[ROW][C]43[/C][C]3433742[/C][C]3634167.25446288[/C][C]-200425.254462885[/C][/ROW]
[ROW][C]44[/C][C]3333694[/C][C]3382357.1553632[/C][C]-48663.1553631974[/C][/ROW]
[ROW][C]45[/C][C]3470922[/C][C]3447815.85886978[/C][C]23106.1411302174[/C][/ROW]
[ROW][C]46[/C][C]3284346[/C][C]3288149.62150854[/C][C]-3803.62150854478[/C][/ROW]
[ROW][C]47[/C][C]3421574[/C][C]3394191.4312522[/C][C]27382.5687478036[/C][/ROW]
[ROW][C]48[/C][C]3445741[/C][C]3384366.29951382[/C][C]61374.7004861846[/C][/ROW]
[ROW][C]49[/C][C]3496272[/C][C]3440605.94863445[/C][C]55666.0513655534[/C][/ROW]
[ROW][C]50[/C][C]3384394[/C][C]3366039.89364538[/C][C]18354.1063546152[/C][/ROW]
[ROW][C]51[/C][C]3445741[/C][C]3494884.66289057[/C][C]-49143.6628905716[/C][/ROW]
[ROW][C]52[/C][C]3483090[/C][C]3417872.76305231[/C][C]65217.2369476859[/C][/ROW]
[ROW][C]53[/C][C]3620318[/C][C]3672089.17991897[/C][C]-51771.1799189686[/C][/ROW]
[ROW][C]54[/C][C]3508271[/C][C]3657807.74241755[/C][C]-149536.742417552[/C][/ROW]
[ROW][C]55[/C][C]3359044[/C][C]3473263.25229572[/C][C]-114219.252295715[/C][/ROW]
[ROW][C]56[/C][C]3197649[/C][C]3342300.26143288[/C][C]-144651.261432878[/C][/ROW]
[ROW][C]57[/C][C]3347045[/C][C]3404676.35290928[/C][C]-57631.3529092767[/C][/ROW]
[ROW][C]58[/C][C]2936375[/C][C]3187317.54810638[/C][C]-250942.548106382[/C][/ROW]
[ROW][C]59[/C][C]3135119[/C][C]3196300.98631378[/C][C]-61181.9863137794[/C][/ROW]
[ROW][C]60[/C][C]3246997[/C][C]3153046.8787877[/C][C]93950.1212123027[/C][/ROW]
[ROW][C]61[/C][C]3359044[/C][C]3202204.37671504[/C][C]156839.623284957[/C][/ROW]
[ROW][C]62[/C][C]3197649[/C][C]3132214.77678303[/C][C]65434.2232169709[/C][/ROW]
[ROW][C]63[/C][C]3197649[/C][C]3226990.65103865[/C][C]-29341.6510386541[/C][/ROW]
[ROW][C]64[/C][C]3197649[/C][C]3213514.27048083[/C][C]-15865.2704808293[/C][/ROW]
[ROW][C]65[/C][C]3284346[/C][C]3350679.36838579[/C][C]-66333.3683857857[/C][/ROW]
[ROW][C]66[/C][C]3160469[/C][C]3257360.32424659[/C][C]-96891.32424659[/C][/ROW]
[ROW][C]67[/C][C]2997891[/C][C]3101535.94091339[/C][C]-103644.940913393[/C][/ROW]
[ROW][C]68[/C][C]2861846[/C][C]2943417.97346407[/C][C]-81571.9734640745[/C][/ROW]
[ROW][C]69[/C][C]2960542[/C][C]3071414.90207431[/C][C]-110872.902074305[/C][/ROW]
[ROW][C]70[/C][C]2575222[/C][C]2704433.84234164[/C][C]-129211.84234164[/C][/ROW]
[ROW][C]71[/C][C]2811315[/C][C]2865698.67387162[/C][C]-54383.6738716206[/C][/ROW]
[ROW][C]72[/C][C]2948543[/C][C]2907724.6588492[/C][C]40818.341150796[/C][/ROW]
[ROW][C]73[/C][C]2973724[/C][C]2961627.76337836[/C][C]12096.2366216434[/C][/ROW]
[ROW][C]74[/C][C]2836496[/C][C]2763711.6946651[/C][C]72784.3053349028[/C][/ROW]
[ROW][C]75[/C][C]2848495[/C][C]2790399.07071409[/C][C]58095.9292859086[/C][/ROW]
[ROW][C]76[/C][C]2811315[/C][C]2807956.77532689[/C][C]3358.22467311425[/C][/ROW]
[ROW][C]77[/C][C]2936375[/C][C]2910983.56812857[/C][C]25391.4318714272[/C][/ROW]
[ROW][C]78[/C][C]2848495[/C][C]2827152.6581474[/C][C]21342.3418526007[/C][/ROW]
[ROW][C]79[/C][C]2675270[/C][C]2708809.1208097[/C][C]-33539.120809705[/C][/ROW]
[ROW][C]80[/C][C]2550041[/C][C]2587639.08959858[/C][C]-37598.0895985807[/C][/ROW]
[ROW][C]81[/C][C]2761798[/C][C]2712591.73929635[/C][C]49206.2607036503[/C][/ROW]
[ROW][C]82[/C][C]2301949[/C][C]2400333.96413448[/C][C]-98384.9641344789[/C][/ROW]
[ROW][C]83[/C][C]2600572[/C][C]2620139.24576182[/C][C]-19567.2457618159[/C][/ROW]
[ROW][C]84[/C][C]2736617[/C][C]2735348.80572189[/C][C]1268.19427810749[/C][/ROW]
[ROW][C]85[/C][C]2736617[/C][C]2757564.83244511[/C][C]-20947.8324451065[/C][/ROW]
[ROW][C]86[/C][C]2575222[/C][C]2582903.07760582[/C][C]-7681.07760582259[/C][/ROW]
[ROW][C]87[/C][C]2425995[/C][C]2566695.36461519[/C][C]-140700.364615188[/C][/ROW]
[ROW][C]88[/C][C]2413996[/C][C]2464378.73026906[/C][C]-50382.7302690567[/C][/ROW]
[ROW][C]89[/C][C]2550041[/C][C]2550575.24769616[/C][C]-534.24769616453[/C][/ROW]
[ROW][C]90[/C][C]2425995[/C][C]2445000.74641751[/C][C]-19005.7464175075[/C][/ROW]
[ROW][C]91[/C][C]2190071[/C][C]2267784.56389688[/C][C]-77713.5638968819[/C][/ROW]
[ROW][C]92[/C][C]2027493[/C][C]2115257.57871187[/C][C]-87764.5787118673[/C][/ROW]
[ROW][C]93[/C][C]2202070[/C][C]2259144.96750544[/C][C]-57074.9675054424[/C][/ROW]
[ROW][C]94[/C][C]1791569[/C][C]1800911.72064272[/C][C]-9342.72064272175[/C][/ROW]
[ROW][C]95[/C][C]2164721[/C][C]2090878.87702766[/C][C]73842.1229723357[/C][/ROW]
[ROW][C]96[/C][C]2363296[/C][C]2245983.82089595[/C][C]117312.179104053[/C][/ROW]
[ROW][C]97[/C][C]2425995[/C][C]2294704.0047405[/C][C]131290.995259505[/C][/ROW]
[ROW][C]98[/C][C]2288767[/C][C]2186299.25098875[/C][C]102467.749011251[/C][/ROW]
[ROW][C]99[/C][C]2115373[/C][C]2135178.3057558[/C][C]-19805.305755802[/C][/ROW]
[ROW][C]100[/C][C]2239419[/C][C]2138274.92624546[/C][C]101144.073754536[/C][/ROW]
[ROW][C]101[/C][C]2288767[/C][C]2322198.60985975[/C][C]-33431.6098597543[/C][/ROW]
[ROW][C]102[/C][C]2251418[/C][C]2198108.92473608[/C][C]53309.0752639216[/C][/ROW]
[ROW][C]103[/C][C]1878097[/C][C]2022988.9892132[/C][C]-144891.989213199[/C][/ROW]
[ROW][C]104[/C][C]1704872[/C][C]1843192.86065965[/C][C]-138320.860659648[/C][/ROW]
[ROW][C]105[/C][C]1828749[/C][C]1989453.29832023[/C][C]-160704.298320231[/C][/ROW]
[ROW][C]106[/C][C]1455597[/C][C]1519504.66280727[/C][C]-63907.6628072688[/C][/ROW]
[ROW][C]107[/C][C]1840917[/C][C]1837299.45958922[/C][C]3617.54041078244[/C][/ROW]
[ROW][C]108[/C][C]1978145[/C][C]1988431.29010591[/C][C]-10286.2901059131[/C][/ROW]
[ROW][C]109[/C][C]2090023[/C][C]1989048.05974984[/C][C]100974.940250163[/C][/ROW]
[ROW][C]110[/C][C]1903447[/C][C]1845727.24960724[/C][C]57719.7503927571[/C][/ROW]
[ROW][C]111[/C][C]1728870[/C][C]1697099.50385143[/C][C]31770.4961485709[/C][/ROW]
[ROW][C]112[/C][C]1828749[/C][C]1787716.26352788[/C][C]41032.7364721179[/C][/ROW]
[ROW][C]113[/C][C]1878097[/C][C]1860366.65446266[/C][C]17730.3455373435[/C][/ROW]
[ROW][C]114[/C][C]1779401[/C][C]1803052.87009453[/C][C]-23651.8700945294[/C][/ROW]
[ROW][C]115[/C][C]1406249[/C][C]1471319.78386535[/C][C]-65070.783865348[/C][/ROW]
[ROW][C]116[/C][C]1243671[/C][C]1322317.79775066[/C][C]-78646.7977506588[/C][/ROW]
[ROW][C]117[/C][C]1392898[/C][C]1475548.46805815[/C][C]-82650.4680581517[/C][/ROW]
[ROW][C]118[/C][C]982397[/C][C]1092932.7463629[/C][C]-110535.746362895[/C][/ROW]
[ROW][C]119[/C][C]1430247[/C][C]1428895.6104234[/C][C]1351.38957660343[/C][/ROW]
[ROW][C]120[/C][C]1704872[/C][C]1567695.69686204[/C][C]137176.303137959[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279960&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279960&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
1331844673184328.51388889138.486111110076
1431844673177339.561696357127.43830365408
1531604693148864.9330442711604.0669557308
1630977703085863.5170809811906.4829190169
1734215743412918.526518068655.47348194243
1834709223462869.916386698052.08361331141
1933963933276546.43390204119846.566097964
2032218163213461.897385968354.10261404235
2132965143241441.1104018355072.889598167
2231844673279854.91988021-95387.9198802128
2332349983266587.68925341-31589.6892534066
2432591653283283.64075131-24118.6407513134
2532843463308536.47562423-24190.4756242288
2632218163297289.06107258-75473.0610725791
2732349983237281.82570519-2283.82570519252
2831471183167754.54875168-20636.5487516765
2934215743477757.81464919-56183.814649194
3035082713497445.1122968210825.8877031845
3134337423375174.7547571458567.2452428569
3232965143215798.101875680715.8981243973
3334457413297629.56244143148111.43755857
3432843463283455.76467433890.235325671732
3534337423348842.6355890784899.3644109275
3634215743421936.16750393-362.167503932491
3734589233462133.94417989-3210.94417988556
3833216953434801.69452805-113106.694528047
3934709223407985.0116755862936.9883244191
4034589233360609.2421196698313.7578803403
4136828483707428.88769399-24580.8876939882
4236323173790339.63182292-158022.631822919
4334337423634167.25446288-200425.254462885
4433336943382357.1553632-48663.1553631974
4534709223447815.8588697823106.1411302174
4632843463288149.62150854-3803.62150854478
4734215743394191.431252227382.5687478036
4834457413384366.2995138261374.7004861846
4934962723440605.9486344555666.0513655534
5033843943366039.8936453818354.1063546152
5134457413494884.66289057-49143.6628905716
5234830903417872.7630523165217.2369476859
5336203183672089.17991897-51771.1799189686
5435082713657807.74241755-149536.742417552
5533590443473263.25229572-114219.252295715
5631976493342300.26143288-144651.261432878
5733470453404676.35290928-57631.3529092767
5829363753187317.54810638-250942.548106382
5931351193196300.98631378-61181.9863137794
6032469973153046.878787793950.1212123027
6133590443202204.37671504156839.623284957
6231976493132214.7767830365434.2232169709
6331976493226990.65103865-29341.6510386541
6431976493213514.27048083-15865.2704808293
6532843463350679.36838579-66333.3683857857
6631604693257360.32424659-96891.32424659
6729978913101535.94091339-103644.940913393
6828618462943417.97346407-81571.9734640745
6929605423071414.90207431-110872.902074305
7025752222704433.84234164-129211.84234164
7128113152865698.67387162-54383.6738716206
7229485432907724.658849240818.341150796
7329737242961627.7633783612096.2366216434
7428364962763711.694665172784.3053349028
7528484952790399.0707140958095.9292859086
7628113152807956.775326893358.22467311425
7729363752910983.5681285725391.4318714272
7828484952827152.658147421342.3418526007
7926752702708809.1208097-33539.120809705
8025500412587639.08959858-37598.0895985807
8127617982712591.7392963549206.2607036503
8223019492400333.96413448-98384.9641344789
8326005722620139.24576182-19567.2457618159
8427366172735348.805721891268.19427810749
8527366172757564.83244511-20947.8324451065
8625752222582903.07760582-7681.07760582259
8724259952566695.36461519-140700.364615188
8824139962464378.73026906-50382.7302690567
8925500412550575.24769616-534.24769616453
9024259952445000.74641751-19005.7464175075
9121900712267784.56389688-77713.5638968819
9220274932115257.57871187-87764.5787118673
9322020702259144.96750544-57074.9675054424
9417915691800911.72064272-9342.72064272175
9521647212090878.8770276673842.1229723357
9623632962245983.82089595117312.179104053
9724259952294704.0047405131290.995259505
9822887672186299.25098875102467.749011251
9921153732135178.3057558-19805.305755802
10022394192138274.92624546101144.073754536
10122887672322198.60985975-33431.6098597543
10222514182198108.9247360853309.0752639216
10318780972022988.9892132-144891.989213199
10417048721843192.86065965-138320.860659648
10518287491989453.29832023-160704.298320231
10614555971519504.66280727-63907.6628072688
10718409171837299.459589223617.54041078244
10819781451988431.29010591-10286.2901059131
10920900231989048.05974984100974.940250163
11019034471845727.2496072457719.7503927571
11117288701697099.5038514331770.4961485709
11218287491787716.2635278841032.7364721179
11318780971860366.6544626617730.3455373435
11417794011803052.87009453-23651.8700945294
11514062491471319.78386535-65070.783865348
11612436711322317.79775066-78646.7977506588
11713928981475548.46805815-82650.4680581517
1189823971092932.7463629-110535.746362895
11914302471428895.61042341351.38957660343
12017048721567695.69686204137176.303137959







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1211694959.023025581540666.841849321849251.20420185
1221483057.331131641315014.20322281651100.45904049
1231292163.469284721109887.63412751474439.30444194
1241371140.343694761174171.809365931568108.87802359
1251407958.56857311195856.169373011620060.96777319
1261313043.091252561085382.120984211540704.06152091
127961079.037470176717449.324512551204708.7504278
128826893.692748421566898.0171840041086889.36831284
1291008193.02196519731445.8000792781284940.2438511
130643228.973986447349355.153830878937102.794142016
1311094154.04988687782788.1751111171405519.92466262
1321316763.10526403987548.5144017961645977.69612626

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 1694959.02302558 & 1540666.84184932 & 1849251.20420185 \tabularnewline
122 & 1483057.33113164 & 1315014.2032228 & 1651100.45904049 \tabularnewline
123 & 1292163.46928472 & 1109887.6341275 & 1474439.30444194 \tabularnewline
124 & 1371140.34369476 & 1174171.80936593 & 1568108.87802359 \tabularnewline
125 & 1407958.5685731 & 1195856.16937301 & 1620060.96777319 \tabularnewline
126 & 1313043.09125256 & 1085382.12098421 & 1540704.06152091 \tabularnewline
127 & 961079.037470176 & 717449.32451255 & 1204708.7504278 \tabularnewline
128 & 826893.692748421 & 566898.017184004 & 1086889.36831284 \tabularnewline
129 & 1008193.02196519 & 731445.800079278 & 1284940.2438511 \tabularnewline
130 & 643228.973986447 & 349355.153830878 & 937102.794142016 \tabularnewline
131 & 1094154.04988687 & 782788.175111117 & 1405519.92466262 \tabularnewline
132 & 1316763.10526403 & 987548.514401796 & 1645977.69612626 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279960&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]1694959.02302558[/C][C]1540666.84184932[/C][C]1849251.20420185[/C][/ROW]
[ROW][C]122[/C][C]1483057.33113164[/C][C]1315014.2032228[/C][C]1651100.45904049[/C][/ROW]
[ROW][C]123[/C][C]1292163.46928472[/C][C]1109887.6341275[/C][C]1474439.30444194[/C][/ROW]
[ROW][C]124[/C][C]1371140.34369476[/C][C]1174171.80936593[/C][C]1568108.87802359[/C][/ROW]
[ROW][C]125[/C][C]1407958.5685731[/C][C]1195856.16937301[/C][C]1620060.96777319[/C][/ROW]
[ROW][C]126[/C][C]1313043.09125256[/C][C]1085382.12098421[/C][C]1540704.06152091[/C][/ROW]
[ROW][C]127[/C][C]961079.037470176[/C][C]717449.32451255[/C][C]1204708.7504278[/C][/ROW]
[ROW][C]128[/C][C]826893.692748421[/C][C]566898.017184004[/C][C]1086889.36831284[/C][/ROW]
[ROW][C]129[/C][C]1008193.02196519[/C][C]731445.800079278[/C][C]1284940.2438511[/C][/ROW]
[ROW][C]130[/C][C]643228.973986447[/C][C]349355.153830878[/C][C]937102.794142016[/C][/ROW]
[ROW][C]131[/C][C]1094154.04988687[/C][C]782788.175111117[/C][C]1405519.92466262[/C][/ROW]
[ROW][C]132[/C][C]1316763.10526403[/C][C]987548.514401796[/C][C]1645977.69612626[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279960&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279960&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
1211694959.023025581540666.841849321849251.20420185
1221483057.331131641315014.20322281651100.45904049
1231292163.469284721109887.63412751474439.30444194
1241371140.343694761174171.809365931568108.87802359
1251407958.56857311195856.169373011620060.96777319
1261313043.091252561085382.120984211540704.06152091
127961079.037470176717449.324512551204708.7504278
128826893.692748421566898.0171840041086889.36831284
1291008193.02196519731445.8000792781284940.2438511
130643228.973986447349355.153830878937102.794142016
1311094154.04988687782788.1751111171405519.92466262
1321316763.10526403987548.5144017961645977.69612626



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