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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, 22 Jan 2017 19:28:02 +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/2017/Jan/22/t1485109696harxfj37ow83u36.htm/, Retrieved Wed, 15 May 2024 07:18:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=303499, Retrieved Wed, 15 May 2024 07:18:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-01-22 18:28:02] [94ac3c9a028ddd47e8862e80eac9f626] [Current]
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Dataseries X:
7420
7512
7670
7946
8438
8524
8598
8540
8594
8456
8532
8404
8280
8042
7732
7520
7384
7434
7442
7316
7120
6986
6738
6436
6344
6282
6278
6230
6052
5796
5564
5210
5050
5042
5026
4868
4838
4902
4966
4844
4840
4912
5046
5122
5150
5228
5340
5598
5870
5896
5830
5902
5954
5760
5800
5974
5838
5660
5558
5496
5640
5610
5516
5352
5350
5324
5318
5244
5134
4976
4808
4632
4500
4266
3926
3788
3500
3160
3072
2980
2736
2648
2420
2224
2202
2244
2318
2504
2620
2774
2996
2966
3000
2984
2740
2604
2548
2584
2376
2222
2204
2304
2354
2382
2574
2762
2742
2844
2978
3042
3162
2948
2850
2962
2920
2514
2940
2830
2604
2390
2368
2418
2260
2122




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=303499&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=303499&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303499&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
alpha1
beta0.358107000927261
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.358107000927261 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303499&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.358107000927261[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303499&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303499&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
alpha1
beta0.358107000927261
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
37670760466
479467785.6350620612160.364937938801
584388119.06286904035318.937130959651
685248725.27648849265-201.276488492655
785988739.19796884138-141.197968841379
885408762.63398768257-222.633987682573
985948624.90719804909-30.9071980490899
1084568667.83911404867-211.839114048666
1185328453.9780442376178.0219557623896
1284048557.91825282216-153.918252822159
1382808374.79904891605-94.7990489160511
1480428216.85084581797-174.850845817968
1577327916.2355338125-184.2355338125
1675207540.25949933467-20.2594993346729
1773847321.0044307876562.9955692123549
1874347207.56358514999226.436414850013
1974427338.65205057265103.347949427353
2073167383.66167479406-67.6616747940579
2171207233.43155535584-113.431555355843
2269866996.81092125685-10.810921256847
2367386858.9394546683-120.939454668297
2464366567.63018926325-131.630189263255
2563446218.4924969547125.507503045297
2662826171.43761246412110.562387535877
2762786149.03077747995128.969222520046
2862306191.2155589685338.7844410314719
2960526157.10453882895-105.104538828949
3057965941.46586764507-145.465867645071
3155645633.37352204541-69.3735220454128
3252105376.53037812197-166.530378121969
3350504962.8946838494387.1053161505724
3450424834.08770738093207.91229261907
3550264900.54255494666125.457445053344
3648684929.46974433871-61.4697443387058
3748384749.4569985458188.5430014541935
3849024751.16486724967150.835132750334
3949664869.1799842733596.8200157266465
4048444967.85190973495-123.851909734953
4148404801.4996737806638.500326219345
4249124811.28691013779100.713089862214
4350464919.35297270246126.647027297538
4451225098.7061598243423.2938401756646
4551505183.04784706972-33.0478470697217
4652285199.2131816684828.7868183315186
4753405287.5219428474252.4780571525807
4855985418.31470250882179.685297491181
4958705740.66126550411129.338734495891
5058966058.97837181816-162.97837181816
5158306026.61467587035-196.614675870351
5259025890.2055839561311.7944160438665
5359545966.42924691329-12.4292469132906
5457606013.97824657739-253.978246577388
5558005729.026858394870.9731416052045
5659745794.44283728142179.557162718579
5758386032.74351431758-194.74351431758
5856605827.00449845528-167.004498455276
5955585589.1990183721-31.1990183720955
6054965476.0264314709919.9735685290098
6156405421.17910619473218.820893805271
6256105643.54040021556-33.5404002155574
6355165601.52934808446-85.5293480844639
6453525476.90068975067-124.900689750672
6553505268.1728783303181.8271216696867
6653245295.4757434659628.524256534045
6753185279.6904794270438.3095205729587
6852445287.40938694638-43.409386946385
6951345197.86418157492-63.8641815749243
7049765064.99397104445-88.9939710444542
7148084875.12460697312-67.1246069731169
7246324683.08681528155-51.0868152815528
7345004488.7922690741511.2077309258493
7442664360.80583598321-94.8058359832066
7539264092.85520238886-166.855202388859
7637883693.1031862722794.8968137277266
7735003589.08639963386-89.0863996338626
7831603269.18393623757-109.183936237573
7930722890.0844042821181.915595717898
8029802867.22965268653112.770347313465
8127362815.61350355649-79.6135035564853
8226482543.10335056456104.896649435439
8324202492.6675751012-72.667575101204
8422242238.64480771706-14.6448077170553
8522022037.40039954634164.599600453656
8622442074.34466881863169.655331181372
8723182177.09943065931140.900569340689
8825042301.55691097485202.443089025151
8926202560.053198444159.9468015559041
9027742697.5205677644676.4794322355374
9129962878.90838787495117.091612125049
9229663142.83971392679-176.83971392679
9330003049.51217432763-49.5121743276327
9429843065.78151806978-81.7815180697762
9527403020.49498390253-280.49498390253
9626042676.04776644205-72.0477664420546
9725482514.2469568779833.7530431220171
9825842470.33415792258113.665842077423
9923762547.03869173679-171.038691736795
10022222277.78853879641-55.7885387964088
10122042103.81027248191100.189727518087
10223042121.68891532713182.311084672865
10323542286.9757910951367.0242089048697
10423822360.9776295355821.0223704644245
10525742396.50588757497177.494112425028
10627622652.06777185774109.932228142255
10727422879.43527238302-137.435272383019
10828442810.2187391683233.7812608316849
10929782924.3160451722953.6839548277085
11030423077.54064523356-35.5406452335565
11131623128.8132913579533.1867086420521
11229483260.6976840604-312.6976840604
11328502934.71845422463-84.71845422463
11429622806.38018265905155.619817340946
11529202974.10872873187-54.1087287318687
11625142912.73201416171-398.732014161712
11729402363.94328839658576.056711603424
11828302996.2332297529-166.233229752898
11926042826.70394639164-222.703946391635
12023902520.95210405466-130.952104054661
12123682260.05723880653107.942761193468
12224182276.71229728933141.287702710668
12322602377.30841277495-117.308412774952
12421222177.29944889258-55.2994488925769

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 7670 & 7604 & 66 \tabularnewline
4 & 7946 & 7785.6350620612 & 160.364937938801 \tabularnewline
5 & 8438 & 8119.06286904035 & 318.937130959651 \tabularnewline
6 & 8524 & 8725.27648849265 & -201.276488492655 \tabularnewline
7 & 8598 & 8739.19796884138 & -141.197968841379 \tabularnewline
8 & 8540 & 8762.63398768257 & -222.633987682573 \tabularnewline
9 & 8594 & 8624.90719804909 & -30.9071980490899 \tabularnewline
10 & 8456 & 8667.83911404867 & -211.839114048666 \tabularnewline
11 & 8532 & 8453.97804423761 & 78.0219557623896 \tabularnewline
12 & 8404 & 8557.91825282216 & -153.918252822159 \tabularnewline
13 & 8280 & 8374.79904891605 & -94.7990489160511 \tabularnewline
14 & 8042 & 8216.85084581797 & -174.850845817968 \tabularnewline
15 & 7732 & 7916.2355338125 & -184.2355338125 \tabularnewline
16 & 7520 & 7540.25949933467 & -20.2594993346729 \tabularnewline
17 & 7384 & 7321.00443078765 & 62.9955692123549 \tabularnewline
18 & 7434 & 7207.56358514999 & 226.436414850013 \tabularnewline
19 & 7442 & 7338.65205057265 & 103.347949427353 \tabularnewline
20 & 7316 & 7383.66167479406 & -67.6616747940579 \tabularnewline
21 & 7120 & 7233.43155535584 & -113.431555355843 \tabularnewline
22 & 6986 & 6996.81092125685 & -10.810921256847 \tabularnewline
23 & 6738 & 6858.9394546683 & -120.939454668297 \tabularnewline
24 & 6436 & 6567.63018926325 & -131.630189263255 \tabularnewline
25 & 6344 & 6218.4924969547 & 125.507503045297 \tabularnewline
26 & 6282 & 6171.43761246412 & 110.562387535877 \tabularnewline
27 & 6278 & 6149.03077747995 & 128.969222520046 \tabularnewline
28 & 6230 & 6191.21555896853 & 38.7844410314719 \tabularnewline
29 & 6052 & 6157.10453882895 & -105.104538828949 \tabularnewline
30 & 5796 & 5941.46586764507 & -145.465867645071 \tabularnewline
31 & 5564 & 5633.37352204541 & -69.3735220454128 \tabularnewline
32 & 5210 & 5376.53037812197 & -166.530378121969 \tabularnewline
33 & 5050 & 4962.89468384943 & 87.1053161505724 \tabularnewline
34 & 5042 & 4834.08770738093 & 207.91229261907 \tabularnewline
35 & 5026 & 4900.54255494666 & 125.457445053344 \tabularnewline
36 & 4868 & 4929.46974433871 & -61.4697443387058 \tabularnewline
37 & 4838 & 4749.45699854581 & 88.5430014541935 \tabularnewline
38 & 4902 & 4751.16486724967 & 150.835132750334 \tabularnewline
39 & 4966 & 4869.17998427335 & 96.8200157266465 \tabularnewline
40 & 4844 & 4967.85190973495 & -123.851909734953 \tabularnewline
41 & 4840 & 4801.49967378066 & 38.500326219345 \tabularnewline
42 & 4912 & 4811.28691013779 & 100.713089862214 \tabularnewline
43 & 5046 & 4919.35297270246 & 126.647027297538 \tabularnewline
44 & 5122 & 5098.70615982434 & 23.2938401756646 \tabularnewline
45 & 5150 & 5183.04784706972 & -33.0478470697217 \tabularnewline
46 & 5228 & 5199.21318166848 & 28.7868183315186 \tabularnewline
47 & 5340 & 5287.52194284742 & 52.4780571525807 \tabularnewline
48 & 5598 & 5418.31470250882 & 179.685297491181 \tabularnewline
49 & 5870 & 5740.66126550411 & 129.338734495891 \tabularnewline
50 & 5896 & 6058.97837181816 & -162.97837181816 \tabularnewline
51 & 5830 & 6026.61467587035 & -196.614675870351 \tabularnewline
52 & 5902 & 5890.20558395613 & 11.7944160438665 \tabularnewline
53 & 5954 & 5966.42924691329 & -12.4292469132906 \tabularnewline
54 & 5760 & 6013.97824657739 & -253.978246577388 \tabularnewline
55 & 5800 & 5729.0268583948 & 70.9731416052045 \tabularnewline
56 & 5974 & 5794.44283728142 & 179.557162718579 \tabularnewline
57 & 5838 & 6032.74351431758 & -194.74351431758 \tabularnewline
58 & 5660 & 5827.00449845528 & -167.004498455276 \tabularnewline
59 & 5558 & 5589.1990183721 & -31.1990183720955 \tabularnewline
60 & 5496 & 5476.02643147099 & 19.9735685290098 \tabularnewline
61 & 5640 & 5421.17910619473 & 218.820893805271 \tabularnewline
62 & 5610 & 5643.54040021556 & -33.5404002155574 \tabularnewline
63 & 5516 & 5601.52934808446 & -85.5293480844639 \tabularnewline
64 & 5352 & 5476.90068975067 & -124.900689750672 \tabularnewline
65 & 5350 & 5268.17287833031 & 81.8271216696867 \tabularnewline
66 & 5324 & 5295.47574346596 & 28.524256534045 \tabularnewline
67 & 5318 & 5279.69047942704 & 38.3095205729587 \tabularnewline
68 & 5244 & 5287.40938694638 & -43.409386946385 \tabularnewline
69 & 5134 & 5197.86418157492 & -63.8641815749243 \tabularnewline
70 & 4976 & 5064.99397104445 & -88.9939710444542 \tabularnewline
71 & 4808 & 4875.12460697312 & -67.1246069731169 \tabularnewline
72 & 4632 & 4683.08681528155 & -51.0868152815528 \tabularnewline
73 & 4500 & 4488.79226907415 & 11.2077309258493 \tabularnewline
74 & 4266 & 4360.80583598321 & -94.8058359832066 \tabularnewline
75 & 3926 & 4092.85520238886 & -166.855202388859 \tabularnewline
76 & 3788 & 3693.10318627227 & 94.8968137277266 \tabularnewline
77 & 3500 & 3589.08639963386 & -89.0863996338626 \tabularnewline
78 & 3160 & 3269.18393623757 & -109.183936237573 \tabularnewline
79 & 3072 & 2890.0844042821 & 181.915595717898 \tabularnewline
80 & 2980 & 2867.22965268653 & 112.770347313465 \tabularnewline
81 & 2736 & 2815.61350355649 & -79.6135035564853 \tabularnewline
82 & 2648 & 2543.10335056456 & 104.896649435439 \tabularnewline
83 & 2420 & 2492.6675751012 & -72.667575101204 \tabularnewline
84 & 2224 & 2238.64480771706 & -14.6448077170553 \tabularnewline
85 & 2202 & 2037.40039954634 & 164.599600453656 \tabularnewline
86 & 2244 & 2074.34466881863 & 169.655331181372 \tabularnewline
87 & 2318 & 2177.09943065931 & 140.900569340689 \tabularnewline
88 & 2504 & 2301.55691097485 & 202.443089025151 \tabularnewline
89 & 2620 & 2560.0531984441 & 59.9468015559041 \tabularnewline
90 & 2774 & 2697.52056776446 & 76.4794322355374 \tabularnewline
91 & 2996 & 2878.90838787495 & 117.091612125049 \tabularnewline
92 & 2966 & 3142.83971392679 & -176.83971392679 \tabularnewline
93 & 3000 & 3049.51217432763 & -49.5121743276327 \tabularnewline
94 & 2984 & 3065.78151806978 & -81.7815180697762 \tabularnewline
95 & 2740 & 3020.49498390253 & -280.49498390253 \tabularnewline
96 & 2604 & 2676.04776644205 & -72.0477664420546 \tabularnewline
97 & 2548 & 2514.24695687798 & 33.7530431220171 \tabularnewline
98 & 2584 & 2470.33415792258 & 113.665842077423 \tabularnewline
99 & 2376 & 2547.03869173679 & -171.038691736795 \tabularnewline
100 & 2222 & 2277.78853879641 & -55.7885387964088 \tabularnewline
101 & 2204 & 2103.81027248191 & 100.189727518087 \tabularnewline
102 & 2304 & 2121.68891532713 & 182.311084672865 \tabularnewline
103 & 2354 & 2286.97579109513 & 67.0242089048697 \tabularnewline
104 & 2382 & 2360.97762953558 & 21.0223704644245 \tabularnewline
105 & 2574 & 2396.50588757497 & 177.494112425028 \tabularnewline
106 & 2762 & 2652.06777185774 & 109.932228142255 \tabularnewline
107 & 2742 & 2879.43527238302 & -137.435272383019 \tabularnewline
108 & 2844 & 2810.21873916832 & 33.7812608316849 \tabularnewline
109 & 2978 & 2924.31604517229 & 53.6839548277085 \tabularnewline
110 & 3042 & 3077.54064523356 & -35.5406452335565 \tabularnewline
111 & 3162 & 3128.81329135795 & 33.1867086420521 \tabularnewline
112 & 2948 & 3260.6976840604 & -312.6976840604 \tabularnewline
113 & 2850 & 2934.71845422463 & -84.71845422463 \tabularnewline
114 & 2962 & 2806.38018265905 & 155.619817340946 \tabularnewline
115 & 2920 & 2974.10872873187 & -54.1087287318687 \tabularnewline
116 & 2514 & 2912.73201416171 & -398.732014161712 \tabularnewline
117 & 2940 & 2363.94328839658 & 576.056711603424 \tabularnewline
118 & 2830 & 2996.2332297529 & -166.233229752898 \tabularnewline
119 & 2604 & 2826.70394639164 & -222.703946391635 \tabularnewline
120 & 2390 & 2520.95210405466 & -130.952104054661 \tabularnewline
121 & 2368 & 2260.05723880653 & 107.942761193468 \tabularnewline
122 & 2418 & 2276.71229728933 & 141.287702710668 \tabularnewline
123 & 2260 & 2377.30841277495 & -117.308412774952 \tabularnewline
124 & 2122 & 2177.29944889258 & -55.2994488925769 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303499&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]7670[/C][C]7604[/C][C]66[/C][/ROW]
[ROW][C]4[/C][C]7946[/C][C]7785.6350620612[/C][C]160.364937938801[/C][/ROW]
[ROW][C]5[/C][C]8438[/C][C]8119.06286904035[/C][C]318.937130959651[/C][/ROW]
[ROW][C]6[/C][C]8524[/C][C]8725.27648849265[/C][C]-201.276488492655[/C][/ROW]
[ROW][C]7[/C][C]8598[/C][C]8739.19796884138[/C][C]-141.197968841379[/C][/ROW]
[ROW][C]8[/C][C]8540[/C][C]8762.63398768257[/C][C]-222.633987682573[/C][/ROW]
[ROW][C]9[/C][C]8594[/C][C]8624.90719804909[/C][C]-30.9071980490899[/C][/ROW]
[ROW][C]10[/C][C]8456[/C][C]8667.83911404867[/C][C]-211.839114048666[/C][/ROW]
[ROW][C]11[/C][C]8532[/C][C]8453.97804423761[/C][C]78.0219557623896[/C][/ROW]
[ROW][C]12[/C][C]8404[/C][C]8557.91825282216[/C][C]-153.918252822159[/C][/ROW]
[ROW][C]13[/C][C]8280[/C][C]8374.79904891605[/C][C]-94.7990489160511[/C][/ROW]
[ROW][C]14[/C][C]8042[/C][C]8216.85084581797[/C][C]-174.850845817968[/C][/ROW]
[ROW][C]15[/C][C]7732[/C][C]7916.2355338125[/C][C]-184.2355338125[/C][/ROW]
[ROW][C]16[/C][C]7520[/C][C]7540.25949933467[/C][C]-20.2594993346729[/C][/ROW]
[ROW][C]17[/C][C]7384[/C][C]7321.00443078765[/C][C]62.9955692123549[/C][/ROW]
[ROW][C]18[/C][C]7434[/C][C]7207.56358514999[/C][C]226.436414850013[/C][/ROW]
[ROW][C]19[/C][C]7442[/C][C]7338.65205057265[/C][C]103.347949427353[/C][/ROW]
[ROW][C]20[/C][C]7316[/C][C]7383.66167479406[/C][C]-67.6616747940579[/C][/ROW]
[ROW][C]21[/C][C]7120[/C][C]7233.43155535584[/C][C]-113.431555355843[/C][/ROW]
[ROW][C]22[/C][C]6986[/C][C]6996.81092125685[/C][C]-10.810921256847[/C][/ROW]
[ROW][C]23[/C][C]6738[/C][C]6858.9394546683[/C][C]-120.939454668297[/C][/ROW]
[ROW][C]24[/C][C]6436[/C][C]6567.63018926325[/C][C]-131.630189263255[/C][/ROW]
[ROW][C]25[/C][C]6344[/C][C]6218.4924969547[/C][C]125.507503045297[/C][/ROW]
[ROW][C]26[/C][C]6282[/C][C]6171.43761246412[/C][C]110.562387535877[/C][/ROW]
[ROW][C]27[/C][C]6278[/C][C]6149.03077747995[/C][C]128.969222520046[/C][/ROW]
[ROW][C]28[/C][C]6230[/C][C]6191.21555896853[/C][C]38.7844410314719[/C][/ROW]
[ROW][C]29[/C][C]6052[/C][C]6157.10453882895[/C][C]-105.104538828949[/C][/ROW]
[ROW][C]30[/C][C]5796[/C][C]5941.46586764507[/C][C]-145.465867645071[/C][/ROW]
[ROW][C]31[/C][C]5564[/C][C]5633.37352204541[/C][C]-69.3735220454128[/C][/ROW]
[ROW][C]32[/C][C]5210[/C][C]5376.53037812197[/C][C]-166.530378121969[/C][/ROW]
[ROW][C]33[/C][C]5050[/C][C]4962.89468384943[/C][C]87.1053161505724[/C][/ROW]
[ROW][C]34[/C][C]5042[/C][C]4834.08770738093[/C][C]207.91229261907[/C][/ROW]
[ROW][C]35[/C][C]5026[/C][C]4900.54255494666[/C][C]125.457445053344[/C][/ROW]
[ROW][C]36[/C][C]4868[/C][C]4929.46974433871[/C][C]-61.4697443387058[/C][/ROW]
[ROW][C]37[/C][C]4838[/C][C]4749.45699854581[/C][C]88.5430014541935[/C][/ROW]
[ROW][C]38[/C][C]4902[/C][C]4751.16486724967[/C][C]150.835132750334[/C][/ROW]
[ROW][C]39[/C][C]4966[/C][C]4869.17998427335[/C][C]96.8200157266465[/C][/ROW]
[ROW][C]40[/C][C]4844[/C][C]4967.85190973495[/C][C]-123.851909734953[/C][/ROW]
[ROW][C]41[/C][C]4840[/C][C]4801.49967378066[/C][C]38.500326219345[/C][/ROW]
[ROW][C]42[/C][C]4912[/C][C]4811.28691013779[/C][C]100.713089862214[/C][/ROW]
[ROW][C]43[/C][C]5046[/C][C]4919.35297270246[/C][C]126.647027297538[/C][/ROW]
[ROW][C]44[/C][C]5122[/C][C]5098.70615982434[/C][C]23.2938401756646[/C][/ROW]
[ROW][C]45[/C][C]5150[/C][C]5183.04784706972[/C][C]-33.0478470697217[/C][/ROW]
[ROW][C]46[/C][C]5228[/C][C]5199.21318166848[/C][C]28.7868183315186[/C][/ROW]
[ROW][C]47[/C][C]5340[/C][C]5287.52194284742[/C][C]52.4780571525807[/C][/ROW]
[ROW][C]48[/C][C]5598[/C][C]5418.31470250882[/C][C]179.685297491181[/C][/ROW]
[ROW][C]49[/C][C]5870[/C][C]5740.66126550411[/C][C]129.338734495891[/C][/ROW]
[ROW][C]50[/C][C]5896[/C][C]6058.97837181816[/C][C]-162.97837181816[/C][/ROW]
[ROW][C]51[/C][C]5830[/C][C]6026.61467587035[/C][C]-196.614675870351[/C][/ROW]
[ROW][C]52[/C][C]5902[/C][C]5890.20558395613[/C][C]11.7944160438665[/C][/ROW]
[ROW][C]53[/C][C]5954[/C][C]5966.42924691329[/C][C]-12.4292469132906[/C][/ROW]
[ROW][C]54[/C][C]5760[/C][C]6013.97824657739[/C][C]-253.978246577388[/C][/ROW]
[ROW][C]55[/C][C]5800[/C][C]5729.0268583948[/C][C]70.9731416052045[/C][/ROW]
[ROW][C]56[/C][C]5974[/C][C]5794.44283728142[/C][C]179.557162718579[/C][/ROW]
[ROW][C]57[/C][C]5838[/C][C]6032.74351431758[/C][C]-194.74351431758[/C][/ROW]
[ROW][C]58[/C][C]5660[/C][C]5827.00449845528[/C][C]-167.004498455276[/C][/ROW]
[ROW][C]59[/C][C]5558[/C][C]5589.1990183721[/C][C]-31.1990183720955[/C][/ROW]
[ROW][C]60[/C][C]5496[/C][C]5476.02643147099[/C][C]19.9735685290098[/C][/ROW]
[ROW][C]61[/C][C]5640[/C][C]5421.17910619473[/C][C]218.820893805271[/C][/ROW]
[ROW][C]62[/C][C]5610[/C][C]5643.54040021556[/C][C]-33.5404002155574[/C][/ROW]
[ROW][C]63[/C][C]5516[/C][C]5601.52934808446[/C][C]-85.5293480844639[/C][/ROW]
[ROW][C]64[/C][C]5352[/C][C]5476.90068975067[/C][C]-124.900689750672[/C][/ROW]
[ROW][C]65[/C][C]5350[/C][C]5268.17287833031[/C][C]81.8271216696867[/C][/ROW]
[ROW][C]66[/C][C]5324[/C][C]5295.47574346596[/C][C]28.524256534045[/C][/ROW]
[ROW][C]67[/C][C]5318[/C][C]5279.69047942704[/C][C]38.3095205729587[/C][/ROW]
[ROW][C]68[/C][C]5244[/C][C]5287.40938694638[/C][C]-43.409386946385[/C][/ROW]
[ROW][C]69[/C][C]5134[/C][C]5197.86418157492[/C][C]-63.8641815749243[/C][/ROW]
[ROW][C]70[/C][C]4976[/C][C]5064.99397104445[/C][C]-88.9939710444542[/C][/ROW]
[ROW][C]71[/C][C]4808[/C][C]4875.12460697312[/C][C]-67.1246069731169[/C][/ROW]
[ROW][C]72[/C][C]4632[/C][C]4683.08681528155[/C][C]-51.0868152815528[/C][/ROW]
[ROW][C]73[/C][C]4500[/C][C]4488.79226907415[/C][C]11.2077309258493[/C][/ROW]
[ROW][C]74[/C][C]4266[/C][C]4360.80583598321[/C][C]-94.8058359832066[/C][/ROW]
[ROW][C]75[/C][C]3926[/C][C]4092.85520238886[/C][C]-166.855202388859[/C][/ROW]
[ROW][C]76[/C][C]3788[/C][C]3693.10318627227[/C][C]94.8968137277266[/C][/ROW]
[ROW][C]77[/C][C]3500[/C][C]3589.08639963386[/C][C]-89.0863996338626[/C][/ROW]
[ROW][C]78[/C][C]3160[/C][C]3269.18393623757[/C][C]-109.183936237573[/C][/ROW]
[ROW][C]79[/C][C]3072[/C][C]2890.0844042821[/C][C]181.915595717898[/C][/ROW]
[ROW][C]80[/C][C]2980[/C][C]2867.22965268653[/C][C]112.770347313465[/C][/ROW]
[ROW][C]81[/C][C]2736[/C][C]2815.61350355649[/C][C]-79.6135035564853[/C][/ROW]
[ROW][C]82[/C][C]2648[/C][C]2543.10335056456[/C][C]104.896649435439[/C][/ROW]
[ROW][C]83[/C][C]2420[/C][C]2492.6675751012[/C][C]-72.667575101204[/C][/ROW]
[ROW][C]84[/C][C]2224[/C][C]2238.64480771706[/C][C]-14.6448077170553[/C][/ROW]
[ROW][C]85[/C][C]2202[/C][C]2037.40039954634[/C][C]164.599600453656[/C][/ROW]
[ROW][C]86[/C][C]2244[/C][C]2074.34466881863[/C][C]169.655331181372[/C][/ROW]
[ROW][C]87[/C][C]2318[/C][C]2177.09943065931[/C][C]140.900569340689[/C][/ROW]
[ROW][C]88[/C][C]2504[/C][C]2301.55691097485[/C][C]202.443089025151[/C][/ROW]
[ROW][C]89[/C][C]2620[/C][C]2560.0531984441[/C][C]59.9468015559041[/C][/ROW]
[ROW][C]90[/C][C]2774[/C][C]2697.52056776446[/C][C]76.4794322355374[/C][/ROW]
[ROW][C]91[/C][C]2996[/C][C]2878.90838787495[/C][C]117.091612125049[/C][/ROW]
[ROW][C]92[/C][C]2966[/C][C]3142.83971392679[/C][C]-176.83971392679[/C][/ROW]
[ROW][C]93[/C][C]3000[/C][C]3049.51217432763[/C][C]-49.5121743276327[/C][/ROW]
[ROW][C]94[/C][C]2984[/C][C]3065.78151806978[/C][C]-81.7815180697762[/C][/ROW]
[ROW][C]95[/C][C]2740[/C][C]3020.49498390253[/C][C]-280.49498390253[/C][/ROW]
[ROW][C]96[/C][C]2604[/C][C]2676.04776644205[/C][C]-72.0477664420546[/C][/ROW]
[ROW][C]97[/C][C]2548[/C][C]2514.24695687798[/C][C]33.7530431220171[/C][/ROW]
[ROW][C]98[/C][C]2584[/C][C]2470.33415792258[/C][C]113.665842077423[/C][/ROW]
[ROW][C]99[/C][C]2376[/C][C]2547.03869173679[/C][C]-171.038691736795[/C][/ROW]
[ROW][C]100[/C][C]2222[/C][C]2277.78853879641[/C][C]-55.7885387964088[/C][/ROW]
[ROW][C]101[/C][C]2204[/C][C]2103.81027248191[/C][C]100.189727518087[/C][/ROW]
[ROW][C]102[/C][C]2304[/C][C]2121.68891532713[/C][C]182.311084672865[/C][/ROW]
[ROW][C]103[/C][C]2354[/C][C]2286.97579109513[/C][C]67.0242089048697[/C][/ROW]
[ROW][C]104[/C][C]2382[/C][C]2360.97762953558[/C][C]21.0223704644245[/C][/ROW]
[ROW][C]105[/C][C]2574[/C][C]2396.50588757497[/C][C]177.494112425028[/C][/ROW]
[ROW][C]106[/C][C]2762[/C][C]2652.06777185774[/C][C]109.932228142255[/C][/ROW]
[ROW][C]107[/C][C]2742[/C][C]2879.43527238302[/C][C]-137.435272383019[/C][/ROW]
[ROW][C]108[/C][C]2844[/C][C]2810.21873916832[/C][C]33.7812608316849[/C][/ROW]
[ROW][C]109[/C][C]2978[/C][C]2924.31604517229[/C][C]53.6839548277085[/C][/ROW]
[ROW][C]110[/C][C]3042[/C][C]3077.54064523356[/C][C]-35.5406452335565[/C][/ROW]
[ROW][C]111[/C][C]3162[/C][C]3128.81329135795[/C][C]33.1867086420521[/C][/ROW]
[ROW][C]112[/C][C]2948[/C][C]3260.6976840604[/C][C]-312.6976840604[/C][/ROW]
[ROW][C]113[/C][C]2850[/C][C]2934.71845422463[/C][C]-84.71845422463[/C][/ROW]
[ROW][C]114[/C][C]2962[/C][C]2806.38018265905[/C][C]155.619817340946[/C][/ROW]
[ROW][C]115[/C][C]2920[/C][C]2974.10872873187[/C][C]-54.1087287318687[/C][/ROW]
[ROW][C]116[/C][C]2514[/C][C]2912.73201416171[/C][C]-398.732014161712[/C][/ROW]
[ROW][C]117[/C][C]2940[/C][C]2363.94328839658[/C][C]576.056711603424[/C][/ROW]
[ROW][C]118[/C][C]2830[/C][C]2996.2332297529[/C][C]-166.233229752898[/C][/ROW]
[ROW][C]119[/C][C]2604[/C][C]2826.70394639164[/C][C]-222.703946391635[/C][/ROW]
[ROW][C]120[/C][C]2390[/C][C]2520.95210405466[/C][C]-130.952104054661[/C][/ROW]
[ROW][C]121[/C][C]2368[/C][C]2260.05723880653[/C][C]107.942761193468[/C][/ROW]
[ROW][C]122[/C][C]2418[/C][C]2276.71229728933[/C][C]141.287702710668[/C][/ROW]
[ROW][C]123[/C][C]2260[/C][C]2377.30841277495[/C][C]-117.308412774952[/C][/ROW]
[ROW][C]124[/C][C]2122[/C][C]2177.29944889258[/C][C]-55.2994488925769[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303499&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303499&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
37670760466
479467785.6350620612160.364937938801
584388119.06286904035318.937130959651
685248725.27648849265-201.276488492655
785988739.19796884138-141.197968841379
885408762.63398768257-222.633987682573
985948624.90719804909-30.9071980490899
1084568667.83911404867-211.839114048666
1185328453.9780442376178.0219557623896
1284048557.91825282216-153.918252822159
1382808374.79904891605-94.7990489160511
1480428216.85084581797-174.850845817968
1577327916.2355338125-184.2355338125
1675207540.25949933467-20.2594993346729
1773847321.0044307876562.9955692123549
1874347207.56358514999226.436414850013
1974427338.65205057265103.347949427353
2073167383.66167479406-67.6616747940579
2171207233.43155535584-113.431555355843
2269866996.81092125685-10.810921256847
2367386858.9394546683-120.939454668297
2464366567.63018926325-131.630189263255
2563446218.4924969547125.507503045297
2662826171.43761246412110.562387535877
2762786149.03077747995128.969222520046
2862306191.2155589685338.7844410314719
2960526157.10453882895-105.104538828949
3057965941.46586764507-145.465867645071
3155645633.37352204541-69.3735220454128
3252105376.53037812197-166.530378121969
3350504962.8946838494387.1053161505724
3450424834.08770738093207.91229261907
3550264900.54255494666125.457445053344
3648684929.46974433871-61.4697443387058
3748384749.4569985458188.5430014541935
3849024751.16486724967150.835132750334
3949664869.1799842733596.8200157266465
4048444967.85190973495-123.851909734953
4148404801.4996737806638.500326219345
4249124811.28691013779100.713089862214
4350464919.35297270246126.647027297538
4451225098.7061598243423.2938401756646
4551505183.04784706972-33.0478470697217
4652285199.2131816684828.7868183315186
4753405287.5219428474252.4780571525807
4855985418.31470250882179.685297491181
4958705740.66126550411129.338734495891
5058966058.97837181816-162.97837181816
5158306026.61467587035-196.614675870351
5259025890.2055839561311.7944160438665
5359545966.42924691329-12.4292469132906
5457606013.97824657739-253.978246577388
5558005729.026858394870.9731416052045
5659745794.44283728142179.557162718579
5758386032.74351431758-194.74351431758
5856605827.00449845528-167.004498455276
5955585589.1990183721-31.1990183720955
6054965476.0264314709919.9735685290098
6156405421.17910619473218.820893805271
6256105643.54040021556-33.5404002155574
6355165601.52934808446-85.5293480844639
6453525476.90068975067-124.900689750672
6553505268.1728783303181.8271216696867
6653245295.4757434659628.524256534045
6753185279.6904794270438.3095205729587
6852445287.40938694638-43.409386946385
6951345197.86418157492-63.8641815749243
7049765064.99397104445-88.9939710444542
7148084875.12460697312-67.1246069731169
7246324683.08681528155-51.0868152815528
7345004488.7922690741511.2077309258493
7442664360.80583598321-94.8058359832066
7539264092.85520238886-166.855202388859
7637883693.1031862722794.8968137277266
7735003589.08639963386-89.0863996338626
7831603269.18393623757-109.183936237573
7930722890.0844042821181.915595717898
8029802867.22965268653112.770347313465
8127362815.61350355649-79.6135035564853
8226482543.10335056456104.896649435439
8324202492.6675751012-72.667575101204
8422242238.64480771706-14.6448077170553
8522022037.40039954634164.599600453656
8622442074.34466881863169.655331181372
8723182177.09943065931140.900569340689
8825042301.55691097485202.443089025151
8926202560.053198444159.9468015559041
9027742697.5205677644676.4794322355374
9129962878.90838787495117.091612125049
9229663142.83971392679-176.83971392679
9330003049.51217432763-49.5121743276327
9429843065.78151806978-81.7815180697762
9527403020.49498390253-280.49498390253
9626042676.04776644205-72.0477664420546
9725482514.2469568779833.7530431220171
9825842470.33415792258113.665842077423
9923762547.03869173679-171.038691736795
10022222277.78853879641-55.7885387964088
10122042103.81027248191100.189727518087
10223042121.68891532713182.311084672865
10323542286.9757910951367.0242089048697
10423822360.9776295355821.0223704644245
10525742396.50588757497177.494112425028
10627622652.06777185774109.932228142255
10727422879.43527238302-137.435272383019
10828442810.2187391683233.7812608316849
10929782924.3160451722953.6839548277085
11030423077.54064523356-35.5406452335565
11131623128.8132913579533.1867086420521
11229483260.6976840604-312.6976840604
11328502934.71845422463-84.71845422463
11429622806.38018265905155.619817340946
11529202974.10872873187-54.1087287318687
11625142912.73201416171-398.732014161712
11729402363.94328839658576.056711603424
11828302996.2332297529-166.233229752898
11926042826.70394639164-222.703946391635
12023902520.95210405466-130.952104054661
12123682260.05723880653107.942761193468
12224182276.71229728933141.287702710668
12322602377.30841277495-117.308412774952
12421222177.29944889258-55.2994488925769







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1252019.496329096731738.505503203912300.48715498954
1261916.992658193451443.087270606372390.89804578053
1271814.488987290181138.366136079852490.61183850051
1281711.9853163869819.3073686619152604.66326411189
1291609.48164548363485.1896748881022733.77361607915
1301506.97797458035136.2597855325832877.69616362813
1311404.47430367708-226.9766970463163035.92530440048
1321301.97063277381-603.9609427437593207.90220829137
1331199.46696187053-994.1481948174583393.08211855852
1341096.96329096726-1397.029474967523590.95605690203
135994.459620063983-1812.13676108713801.05600121507
136891.955949160709-2239.041997118054022.95389543947

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
125 & 2019.49632909673 & 1738.50550320391 & 2300.48715498954 \tabularnewline
126 & 1916.99265819345 & 1443.08727060637 & 2390.89804578053 \tabularnewline
127 & 1814.48898729018 & 1138.36613607985 & 2490.61183850051 \tabularnewline
128 & 1711.9853163869 & 819.307368661915 & 2604.66326411189 \tabularnewline
129 & 1609.48164548363 & 485.189674888102 & 2733.77361607915 \tabularnewline
130 & 1506.97797458035 & 136.259785532583 & 2877.69616362813 \tabularnewline
131 & 1404.47430367708 & -226.976697046316 & 3035.92530440048 \tabularnewline
132 & 1301.97063277381 & -603.960942743759 & 3207.90220829137 \tabularnewline
133 & 1199.46696187053 & -994.148194817458 & 3393.08211855852 \tabularnewline
134 & 1096.96329096726 & -1397.02947496752 & 3590.95605690203 \tabularnewline
135 & 994.459620063983 & -1812.1367610871 & 3801.05600121507 \tabularnewline
136 & 891.955949160709 & -2239.04199711805 & 4022.95389543947 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303499&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]125[/C][C]2019.49632909673[/C][C]1738.50550320391[/C][C]2300.48715498954[/C][/ROW]
[ROW][C]126[/C][C]1916.99265819345[/C][C]1443.08727060637[/C][C]2390.89804578053[/C][/ROW]
[ROW][C]127[/C][C]1814.48898729018[/C][C]1138.36613607985[/C][C]2490.61183850051[/C][/ROW]
[ROW][C]128[/C][C]1711.9853163869[/C][C]819.307368661915[/C][C]2604.66326411189[/C][/ROW]
[ROW][C]129[/C][C]1609.48164548363[/C][C]485.189674888102[/C][C]2733.77361607915[/C][/ROW]
[ROW][C]130[/C][C]1506.97797458035[/C][C]136.259785532583[/C][C]2877.69616362813[/C][/ROW]
[ROW][C]131[/C][C]1404.47430367708[/C][C]-226.976697046316[/C][C]3035.92530440048[/C][/ROW]
[ROW][C]132[/C][C]1301.97063277381[/C][C]-603.960942743759[/C][C]3207.90220829137[/C][/ROW]
[ROW][C]133[/C][C]1199.46696187053[/C][C]-994.148194817458[/C][C]3393.08211855852[/C][/ROW]
[ROW][C]134[/C][C]1096.96329096726[/C][C]-1397.02947496752[/C][C]3590.95605690203[/C][/ROW]
[ROW][C]135[/C][C]994.459620063983[/C][C]-1812.1367610871[/C][C]3801.05600121507[/C][/ROW]
[ROW][C]136[/C][C]891.955949160709[/C][C]-2239.04199711805[/C][C]4022.95389543947[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303499&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303499&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
1252019.496329096731738.505503203912300.48715498954
1261916.992658193451443.087270606372390.89804578053
1271814.488987290181138.366136079852490.61183850051
1281711.9853163869819.3073686619152604.66326411189
1291609.48164548363485.1896748881022733.77361607915
1301506.97797458035136.2597855325832877.69616362813
1311404.47430367708-226.9766970463163035.92530440048
1321301.97063277381-603.9609427437593207.90220829137
1331199.46696187053-994.1481948174583393.08211855852
1341096.96329096726-1397.029474967523590.95605690203
135994.459620063983-1812.13676108713801.05600121507
136891.955949160709-2239.041997118054022.95389543947



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')