Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 09 Jul 2014 17:04:56 +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/2014/Jul/09/t1404922034qv1j6to5wt34ska.htm/, Retrieved Wed, 15 May 2024 14:20:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235283, Retrieved Wed, 15 May 2024 14:20:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-07-09 16:04:56] [bdb7c0ed7ba273e65f9ee772c5dda4f0] [Current]
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Dataseries X:
1069108
1059362
1049495
1029082
1231089
1220388
1069108
968521
978233
978233
989056
1008514
1069108
1049495
1079775
1129547
1412683
1412683
1352244
1291650
1341422
1401983
1412683
1442964
1533833
1473244
1473244
1564114
1816014
1836427
1785734
1664578
1755420
1755420
1765165
1816014
1856040
1876453
1876453
1937014
2169452
2229890
2239603
2088322
2169452
2139171
2078582
2209478
2239603
2188909
2199610
2269916
2532640
2663352
2663352
2602913
2693660
2602913
2552092
2744509
2774634
2703378
2884967
2956228
3168103
3308711
3289258
3278430
3359559
3349692
3228692
3410253
3470847
3410253
3662154
3783309
4065362
4176650
4146492
4085897
4136624
4197185
3995056
4156204
4257779
4216798
4479366
4570080
4953837
5024138
4933418
4984117
5014398
5044678
4852261
5033856
5134437
5033856
5326854
5417607
5811037
5871631
5891089
5992631
5992631
6032657
5851063
5941938
6002377
5891089
6214246
6274812
6678021
6749283
6849864
6940739
6950451
6961152
6779563
6961152




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235283&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235283&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235283&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.972370039462841
beta0.0390652811195408
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.972370039462841 \tabularnewline
beta & 0.0390652811195408 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235283&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]0.972370039462841[/C][/ROW]
[ROW][C]beta[/C][C]0.0390652811195408[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235283&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235283&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
alpha0.972370039462841
beta0.0390652811195408
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
310494951049616-121
410290821039747.74693024-10665.7469302429
512310891019220.94978009211868.05021991
612203881223127.35021041-2739.35021040798
710691081218251.88750762-149143.887507622
89685211065351.67296521-96830.6729652111
9978233959641.05978560618591.9402143944
10978233966870.16928643111362.8307135694
11989056967501.53674948721554.463250513
121008514978861.70822304929652.2917769508
131069108999222.33479584269885.6652041576
1410494951061359.3587907-11864.3587906961
1510797751043554.4302748936220.5697251143
1611295471073881.7168610355665.2831389662
1714126831125230.9565734287452.043426598
1814126831412881.82468094-198.824680940714
1913522441420822.05427901-68578.0542790054
2012916501359667.36996897-68017.3699689738
2113414221296474.1766613744947.8233386267
2214019831344832.3367527857150.6632472237
2314126831407227.092657855455.90734215057
2414429641419562.6643229923401.3356770105
2515338331450236.7538524783596.2461475341
2614732441542618.05024583-69374.0502458345
2714732441483620.37714284-10376.3771428373
2815641141481596.117645982517.8823540974
2918160141573033.96968721242980.030312785
3018364271829730.224178046696.7758219603
3117857341856926.1042918-71192.104291803
3216645781805680.87418448-141102.874184482
3317554201681096.5850672574323.4149327467
3417554201768809.60767231-13389.6076723079
3517651651770724.49860765-5559.49860764667
3618160141780041.970395335972.029604695
3718560401831109.8861508424930.1138491612
3818764531872387.966882054065.0331179474
3918764531893531.88221713-17078.8822171327
4019370141893467.3308986843546.6691013204
4121694521954007.4091155215444.590884503
4222298902189879.7349319940010.2650680114
4322396032256684.80471685-17081.8047168539
4420883222267326.38847342-179004.388473423
4521694522113719.6586715955732.3413284062
4621391712190480.93573348-51309.9357334753
4720785822161208.45507782-82626.4550778167
4822094782098346.08827252111131.911727475
4922396032228109.9989235811493.0010764161
5021889092261424.59018522-72515.5901852185
5121996102210297.17364078-10687.1736407755
5222699162218883.8949267951032.105073208
5325326402289423.09458807243216.905411934
5426633522556075.85136144107276.148638556
5526633522694618.87112051-31266.8711205134
5626029132697259.10876981-94346.1087698131
5726936602634979.1629198458680.8370801578
5826029132723727.07937896-120814.07937896
5925520922633350.28421892-81258.2842189241
6027445092578349.68937436166159.310625636
6127746342770242.263436214391.73656379431
6227033782805003.71922894-101625.719228944
6328849672732816.63203176152150.367968235
6429562282913173.3787806443054.6212193556
6531681032989084.15887934179018.841120662
6633087113204002.66624704104708.333752961
6732892583350641.30386471-61383.3038647058
6832784303333445.70866636-55015.7086663577
6933595593320351.9505624339207.0494375704
7033496923400366.89488421-50674.8948842082
7132286923391058.39751601-162366.397516012
7234102533266976.79413448143276.205865517
7334708473445535.377974425311.6220255974
7434102533510350.21974017-100097.219740167
7536621543449418.97721459212735.022785415
7637833093700757.3679035482551.6320964564
7740653623828645.12863085236716.871369146
7841766504115430.4546748561219.5453251544
7941464924233892.91894212-87400.9189421218
8040858974204521.2931563-118624.293156299
8141366244140282.94215531-3658.94215531088
8241971854187694.465800479490.53419952886
8339950564248252.65285563-253196.652855634
8441562044043763.78446733112440.215532673
8542577794199080.3960116858698.6039883224
8642167984304369.99444408-87571.9944440816
8744793664264103.94349953215262.056500467
8845700804526481.5754999243598.4245000836
8949538374623594.76066091330242.239339093
9050241385011976.3550016312161.6449983735
9149334185091527.88041041-158109.880410413
9249841174999506.52841767-15389.5284176692
9350143985045677.5854991-31279.5854990976
9450446785075209.44366262-30531.4436626211
9548522615104309.00789431-252048.007894311
9650338564908438.22914501125417.770854988
9751344375084367.9725976850069.0274023227
9850338565188932.77292161-155076.77292161
9953268545088129.21111342238724.78888658
10054176075379314.6675944738292.3324055299
10158110375477060.17750941333976.82249059
10258716315875006.83988539-3375.8398853885
10358910895944793.64628745-53704.6462874478
10459926315963602.2094184829028.7905815169
10559926316063960.97281847-71329.9728184696
10660326576064024.34763832-31367.3476383202
10758510636101754.66467043-250691.664670432
10859419385916697.8361477225240.1638522809
10960023776000907.621180511469.37881948892
11058910896062059.22272295-170970.222722946
11162142465949041.26279615265204.737203854
11262748126270220.808864974591.19113502931
11366780216338161.9514267339859.048573299
11467492836745017.368629154265.63137085363
11568498646825713.8353878224150.1646121787
11669407396926662.79247314076.2075269995
11769504517018350.83304711-67899.8330471125
11869611527027748.59093774-66596.5909377383
11967795637035883.85037035-256320.850370355
12069611526849800.34368885111351.656311153

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 1049495 & 1049616 & -121 \tabularnewline
4 & 1029082 & 1039747.74693024 & -10665.7469302429 \tabularnewline
5 & 1231089 & 1019220.94978009 & 211868.05021991 \tabularnewline
6 & 1220388 & 1223127.35021041 & -2739.35021040798 \tabularnewline
7 & 1069108 & 1218251.88750762 & -149143.887507622 \tabularnewline
8 & 968521 & 1065351.67296521 & -96830.6729652111 \tabularnewline
9 & 978233 & 959641.059785606 & 18591.9402143944 \tabularnewline
10 & 978233 & 966870.169286431 & 11362.8307135694 \tabularnewline
11 & 989056 & 967501.536749487 & 21554.463250513 \tabularnewline
12 & 1008514 & 978861.708223049 & 29652.2917769508 \tabularnewline
13 & 1069108 & 999222.334795842 & 69885.6652041576 \tabularnewline
14 & 1049495 & 1061359.3587907 & -11864.3587906961 \tabularnewline
15 & 1079775 & 1043554.43027489 & 36220.5697251143 \tabularnewline
16 & 1129547 & 1073881.71686103 & 55665.2831389662 \tabularnewline
17 & 1412683 & 1125230.9565734 & 287452.043426598 \tabularnewline
18 & 1412683 & 1412881.82468094 & -198.824680940714 \tabularnewline
19 & 1352244 & 1420822.05427901 & -68578.0542790054 \tabularnewline
20 & 1291650 & 1359667.36996897 & -68017.3699689738 \tabularnewline
21 & 1341422 & 1296474.17666137 & 44947.8233386267 \tabularnewline
22 & 1401983 & 1344832.33675278 & 57150.6632472237 \tabularnewline
23 & 1412683 & 1407227.09265785 & 5455.90734215057 \tabularnewline
24 & 1442964 & 1419562.66432299 & 23401.3356770105 \tabularnewline
25 & 1533833 & 1450236.75385247 & 83596.2461475341 \tabularnewline
26 & 1473244 & 1542618.05024583 & -69374.0502458345 \tabularnewline
27 & 1473244 & 1483620.37714284 & -10376.3771428373 \tabularnewline
28 & 1564114 & 1481596.1176459 & 82517.8823540974 \tabularnewline
29 & 1816014 & 1573033.96968721 & 242980.030312785 \tabularnewline
30 & 1836427 & 1829730.22417804 & 6696.7758219603 \tabularnewline
31 & 1785734 & 1856926.1042918 & -71192.104291803 \tabularnewline
32 & 1664578 & 1805680.87418448 & -141102.874184482 \tabularnewline
33 & 1755420 & 1681096.58506725 & 74323.4149327467 \tabularnewline
34 & 1755420 & 1768809.60767231 & -13389.6076723079 \tabularnewline
35 & 1765165 & 1770724.49860765 & -5559.49860764667 \tabularnewline
36 & 1816014 & 1780041.9703953 & 35972.029604695 \tabularnewline
37 & 1856040 & 1831109.88615084 & 24930.1138491612 \tabularnewline
38 & 1876453 & 1872387.96688205 & 4065.0331179474 \tabularnewline
39 & 1876453 & 1893531.88221713 & -17078.8822171327 \tabularnewline
40 & 1937014 & 1893467.33089868 & 43546.6691013204 \tabularnewline
41 & 2169452 & 1954007.4091155 & 215444.590884503 \tabularnewline
42 & 2229890 & 2189879.73493199 & 40010.2650680114 \tabularnewline
43 & 2239603 & 2256684.80471685 & -17081.8047168539 \tabularnewline
44 & 2088322 & 2267326.38847342 & -179004.388473423 \tabularnewline
45 & 2169452 & 2113719.65867159 & 55732.3413284062 \tabularnewline
46 & 2139171 & 2190480.93573348 & -51309.9357334753 \tabularnewline
47 & 2078582 & 2161208.45507782 & -82626.4550778167 \tabularnewline
48 & 2209478 & 2098346.08827252 & 111131.911727475 \tabularnewline
49 & 2239603 & 2228109.99892358 & 11493.0010764161 \tabularnewline
50 & 2188909 & 2261424.59018522 & -72515.5901852185 \tabularnewline
51 & 2199610 & 2210297.17364078 & -10687.1736407755 \tabularnewline
52 & 2269916 & 2218883.89492679 & 51032.105073208 \tabularnewline
53 & 2532640 & 2289423.09458807 & 243216.905411934 \tabularnewline
54 & 2663352 & 2556075.85136144 & 107276.148638556 \tabularnewline
55 & 2663352 & 2694618.87112051 & -31266.8711205134 \tabularnewline
56 & 2602913 & 2697259.10876981 & -94346.1087698131 \tabularnewline
57 & 2693660 & 2634979.16291984 & 58680.8370801578 \tabularnewline
58 & 2602913 & 2723727.07937896 & -120814.07937896 \tabularnewline
59 & 2552092 & 2633350.28421892 & -81258.2842189241 \tabularnewline
60 & 2744509 & 2578349.68937436 & 166159.310625636 \tabularnewline
61 & 2774634 & 2770242.26343621 & 4391.73656379431 \tabularnewline
62 & 2703378 & 2805003.71922894 & -101625.719228944 \tabularnewline
63 & 2884967 & 2732816.63203176 & 152150.367968235 \tabularnewline
64 & 2956228 & 2913173.37878064 & 43054.6212193556 \tabularnewline
65 & 3168103 & 2989084.15887934 & 179018.841120662 \tabularnewline
66 & 3308711 & 3204002.66624704 & 104708.333752961 \tabularnewline
67 & 3289258 & 3350641.30386471 & -61383.3038647058 \tabularnewline
68 & 3278430 & 3333445.70866636 & -55015.7086663577 \tabularnewline
69 & 3359559 & 3320351.95056243 & 39207.0494375704 \tabularnewline
70 & 3349692 & 3400366.89488421 & -50674.8948842082 \tabularnewline
71 & 3228692 & 3391058.39751601 & -162366.397516012 \tabularnewline
72 & 3410253 & 3266976.79413448 & 143276.205865517 \tabularnewline
73 & 3470847 & 3445535.3779744 & 25311.6220255974 \tabularnewline
74 & 3410253 & 3510350.21974017 & -100097.219740167 \tabularnewline
75 & 3662154 & 3449418.97721459 & 212735.022785415 \tabularnewline
76 & 3783309 & 3700757.36790354 & 82551.6320964564 \tabularnewline
77 & 4065362 & 3828645.12863085 & 236716.871369146 \tabularnewline
78 & 4176650 & 4115430.45467485 & 61219.5453251544 \tabularnewline
79 & 4146492 & 4233892.91894212 & -87400.9189421218 \tabularnewline
80 & 4085897 & 4204521.2931563 & -118624.293156299 \tabularnewline
81 & 4136624 & 4140282.94215531 & -3658.94215531088 \tabularnewline
82 & 4197185 & 4187694.46580047 & 9490.53419952886 \tabularnewline
83 & 3995056 & 4248252.65285563 & -253196.652855634 \tabularnewline
84 & 4156204 & 4043763.78446733 & 112440.215532673 \tabularnewline
85 & 4257779 & 4199080.39601168 & 58698.6039883224 \tabularnewline
86 & 4216798 & 4304369.99444408 & -87571.9944440816 \tabularnewline
87 & 4479366 & 4264103.94349953 & 215262.056500467 \tabularnewline
88 & 4570080 & 4526481.57549992 & 43598.4245000836 \tabularnewline
89 & 4953837 & 4623594.76066091 & 330242.239339093 \tabularnewline
90 & 5024138 & 5011976.35500163 & 12161.6449983735 \tabularnewline
91 & 4933418 & 5091527.88041041 & -158109.880410413 \tabularnewline
92 & 4984117 & 4999506.52841767 & -15389.5284176692 \tabularnewline
93 & 5014398 & 5045677.5854991 & -31279.5854990976 \tabularnewline
94 & 5044678 & 5075209.44366262 & -30531.4436626211 \tabularnewline
95 & 4852261 & 5104309.00789431 & -252048.007894311 \tabularnewline
96 & 5033856 & 4908438.22914501 & 125417.770854988 \tabularnewline
97 & 5134437 & 5084367.97259768 & 50069.0274023227 \tabularnewline
98 & 5033856 & 5188932.77292161 & -155076.77292161 \tabularnewline
99 & 5326854 & 5088129.21111342 & 238724.78888658 \tabularnewline
100 & 5417607 & 5379314.66759447 & 38292.3324055299 \tabularnewline
101 & 5811037 & 5477060.17750941 & 333976.82249059 \tabularnewline
102 & 5871631 & 5875006.83988539 & -3375.8398853885 \tabularnewline
103 & 5891089 & 5944793.64628745 & -53704.6462874478 \tabularnewline
104 & 5992631 & 5963602.20941848 & 29028.7905815169 \tabularnewline
105 & 5992631 & 6063960.97281847 & -71329.9728184696 \tabularnewline
106 & 6032657 & 6064024.34763832 & -31367.3476383202 \tabularnewline
107 & 5851063 & 6101754.66467043 & -250691.664670432 \tabularnewline
108 & 5941938 & 5916697.83614772 & 25240.1638522809 \tabularnewline
109 & 6002377 & 6000907.62118051 & 1469.37881948892 \tabularnewline
110 & 5891089 & 6062059.22272295 & -170970.222722946 \tabularnewline
111 & 6214246 & 5949041.26279615 & 265204.737203854 \tabularnewline
112 & 6274812 & 6270220.80886497 & 4591.19113502931 \tabularnewline
113 & 6678021 & 6338161.9514267 & 339859.048573299 \tabularnewline
114 & 6749283 & 6745017.36862915 & 4265.63137085363 \tabularnewline
115 & 6849864 & 6825713.83538782 & 24150.1646121787 \tabularnewline
116 & 6940739 & 6926662.792473 & 14076.2075269995 \tabularnewline
117 & 6950451 & 7018350.83304711 & -67899.8330471125 \tabularnewline
118 & 6961152 & 7027748.59093774 & -66596.5909377383 \tabularnewline
119 & 6779563 & 7035883.85037035 & -256320.850370355 \tabularnewline
120 & 6961152 & 6849800.34368885 & 111351.656311153 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235283&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]1049495[/C][C]1049616[/C][C]-121[/C][/ROW]
[ROW][C]4[/C][C]1029082[/C][C]1039747.74693024[/C][C]-10665.7469302429[/C][/ROW]
[ROW][C]5[/C][C]1231089[/C][C]1019220.94978009[/C][C]211868.05021991[/C][/ROW]
[ROW][C]6[/C][C]1220388[/C][C]1223127.35021041[/C][C]-2739.35021040798[/C][/ROW]
[ROW][C]7[/C][C]1069108[/C][C]1218251.88750762[/C][C]-149143.887507622[/C][/ROW]
[ROW][C]8[/C][C]968521[/C][C]1065351.67296521[/C][C]-96830.6729652111[/C][/ROW]
[ROW][C]9[/C][C]978233[/C][C]959641.059785606[/C][C]18591.9402143944[/C][/ROW]
[ROW][C]10[/C][C]978233[/C][C]966870.169286431[/C][C]11362.8307135694[/C][/ROW]
[ROW][C]11[/C][C]989056[/C][C]967501.536749487[/C][C]21554.463250513[/C][/ROW]
[ROW][C]12[/C][C]1008514[/C][C]978861.708223049[/C][C]29652.2917769508[/C][/ROW]
[ROW][C]13[/C][C]1069108[/C][C]999222.334795842[/C][C]69885.6652041576[/C][/ROW]
[ROW][C]14[/C][C]1049495[/C][C]1061359.3587907[/C][C]-11864.3587906961[/C][/ROW]
[ROW][C]15[/C][C]1079775[/C][C]1043554.43027489[/C][C]36220.5697251143[/C][/ROW]
[ROW][C]16[/C][C]1129547[/C][C]1073881.71686103[/C][C]55665.2831389662[/C][/ROW]
[ROW][C]17[/C][C]1412683[/C][C]1125230.9565734[/C][C]287452.043426598[/C][/ROW]
[ROW][C]18[/C][C]1412683[/C][C]1412881.82468094[/C][C]-198.824680940714[/C][/ROW]
[ROW][C]19[/C][C]1352244[/C][C]1420822.05427901[/C][C]-68578.0542790054[/C][/ROW]
[ROW][C]20[/C][C]1291650[/C][C]1359667.36996897[/C][C]-68017.3699689738[/C][/ROW]
[ROW][C]21[/C][C]1341422[/C][C]1296474.17666137[/C][C]44947.8233386267[/C][/ROW]
[ROW][C]22[/C][C]1401983[/C][C]1344832.33675278[/C][C]57150.6632472237[/C][/ROW]
[ROW][C]23[/C][C]1412683[/C][C]1407227.09265785[/C][C]5455.90734215057[/C][/ROW]
[ROW][C]24[/C][C]1442964[/C][C]1419562.66432299[/C][C]23401.3356770105[/C][/ROW]
[ROW][C]25[/C][C]1533833[/C][C]1450236.75385247[/C][C]83596.2461475341[/C][/ROW]
[ROW][C]26[/C][C]1473244[/C][C]1542618.05024583[/C][C]-69374.0502458345[/C][/ROW]
[ROW][C]27[/C][C]1473244[/C][C]1483620.37714284[/C][C]-10376.3771428373[/C][/ROW]
[ROW][C]28[/C][C]1564114[/C][C]1481596.1176459[/C][C]82517.8823540974[/C][/ROW]
[ROW][C]29[/C][C]1816014[/C][C]1573033.96968721[/C][C]242980.030312785[/C][/ROW]
[ROW][C]30[/C][C]1836427[/C][C]1829730.22417804[/C][C]6696.7758219603[/C][/ROW]
[ROW][C]31[/C][C]1785734[/C][C]1856926.1042918[/C][C]-71192.104291803[/C][/ROW]
[ROW][C]32[/C][C]1664578[/C][C]1805680.87418448[/C][C]-141102.874184482[/C][/ROW]
[ROW][C]33[/C][C]1755420[/C][C]1681096.58506725[/C][C]74323.4149327467[/C][/ROW]
[ROW][C]34[/C][C]1755420[/C][C]1768809.60767231[/C][C]-13389.6076723079[/C][/ROW]
[ROW][C]35[/C][C]1765165[/C][C]1770724.49860765[/C][C]-5559.49860764667[/C][/ROW]
[ROW][C]36[/C][C]1816014[/C][C]1780041.9703953[/C][C]35972.029604695[/C][/ROW]
[ROW][C]37[/C][C]1856040[/C][C]1831109.88615084[/C][C]24930.1138491612[/C][/ROW]
[ROW][C]38[/C][C]1876453[/C][C]1872387.96688205[/C][C]4065.0331179474[/C][/ROW]
[ROW][C]39[/C][C]1876453[/C][C]1893531.88221713[/C][C]-17078.8822171327[/C][/ROW]
[ROW][C]40[/C][C]1937014[/C][C]1893467.33089868[/C][C]43546.6691013204[/C][/ROW]
[ROW][C]41[/C][C]2169452[/C][C]1954007.4091155[/C][C]215444.590884503[/C][/ROW]
[ROW][C]42[/C][C]2229890[/C][C]2189879.73493199[/C][C]40010.2650680114[/C][/ROW]
[ROW][C]43[/C][C]2239603[/C][C]2256684.80471685[/C][C]-17081.8047168539[/C][/ROW]
[ROW][C]44[/C][C]2088322[/C][C]2267326.38847342[/C][C]-179004.388473423[/C][/ROW]
[ROW][C]45[/C][C]2169452[/C][C]2113719.65867159[/C][C]55732.3413284062[/C][/ROW]
[ROW][C]46[/C][C]2139171[/C][C]2190480.93573348[/C][C]-51309.9357334753[/C][/ROW]
[ROW][C]47[/C][C]2078582[/C][C]2161208.45507782[/C][C]-82626.4550778167[/C][/ROW]
[ROW][C]48[/C][C]2209478[/C][C]2098346.08827252[/C][C]111131.911727475[/C][/ROW]
[ROW][C]49[/C][C]2239603[/C][C]2228109.99892358[/C][C]11493.0010764161[/C][/ROW]
[ROW][C]50[/C][C]2188909[/C][C]2261424.59018522[/C][C]-72515.5901852185[/C][/ROW]
[ROW][C]51[/C][C]2199610[/C][C]2210297.17364078[/C][C]-10687.1736407755[/C][/ROW]
[ROW][C]52[/C][C]2269916[/C][C]2218883.89492679[/C][C]51032.105073208[/C][/ROW]
[ROW][C]53[/C][C]2532640[/C][C]2289423.09458807[/C][C]243216.905411934[/C][/ROW]
[ROW][C]54[/C][C]2663352[/C][C]2556075.85136144[/C][C]107276.148638556[/C][/ROW]
[ROW][C]55[/C][C]2663352[/C][C]2694618.87112051[/C][C]-31266.8711205134[/C][/ROW]
[ROW][C]56[/C][C]2602913[/C][C]2697259.10876981[/C][C]-94346.1087698131[/C][/ROW]
[ROW][C]57[/C][C]2693660[/C][C]2634979.16291984[/C][C]58680.8370801578[/C][/ROW]
[ROW][C]58[/C][C]2602913[/C][C]2723727.07937896[/C][C]-120814.07937896[/C][/ROW]
[ROW][C]59[/C][C]2552092[/C][C]2633350.28421892[/C][C]-81258.2842189241[/C][/ROW]
[ROW][C]60[/C][C]2744509[/C][C]2578349.68937436[/C][C]166159.310625636[/C][/ROW]
[ROW][C]61[/C][C]2774634[/C][C]2770242.26343621[/C][C]4391.73656379431[/C][/ROW]
[ROW][C]62[/C][C]2703378[/C][C]2805003.71922894[/C][C]-101625.719228944[/C][/ROW]
[ROW][C]63[/C][C]2884967[/C][C]2732816.63203176[/C][C]152150.367968235[/C][/ROW]
[ROW][C]64[/C][C]2956228[/C][C]2913173.37878064[/C][C]43054.6212193556[/C][/ROW]
[ROW][C]65[/C][C]3168103[/C][C]2989084.15887934[/C][C]179018.841120662[/C][/ROW]
[ROW][C]66[/C][C]3308711[/C][C]3204002.66624704[/C][C]104708.333752961[/C][/ROW]
[ROW][C]67[/C][C]3289258[/C][C]3350641.30386471[/C][C]-61383.3038647058[/C][/ROW]
[ROW][C]68[/C][C]3278430[/C][C]3333445.70866636[/C][C]-55015.7086663577[/C][/ROW]
[ROW][C]69[/C][C]3359559[/C][C]3320351.95056243[/C][C]39207.0494375704[/C][/ROW]
[ROW][C]70[/C][C]3349692[/C][C]3400366.89488421[/C][C]-50674.8948842082[/C][/ROW]
[ROW][C]71[/C][C]3228692[/C][C]3391058.39751601[/C][C]-162366.397516012[/C][/ROW]
[ROW][C]72[/C][C]3410253[/C][C]3266976.79413448[/C][C]143276.205865517[/C][/ROW]
[ROW][C]73[/C][C]3470847[/C][C]3445535.3779744[/C][C]25311.6220255974[/C][/ROW]
[ROW][C]74[/C][C]3410253[/C][C]3510350.21974017[/C][C]-100097.219740167[/C][/ROW]
[ROW][C]75[/C][C]3662154[/C][C]3449418.97721459[/C][C]212735.022785415[/C][/ROW]
[ROW][C]76[/C][C]3783309[/C][C]3700757.36790354[/C][C]82551.6320964564[/C][/ROW]
[ROW][C]77[/C][C]4065362[/C][C]3828645.12863085[/C][C]236716.871369146[/C][/ROW]
[ROW][C]78[/C][C]4176650[/C][C]4115430.45467485[/C][C]61219.5453251544[/C][/ROW]
[ROW][C]79[/C][C]4146492[/C][C]4233892.91894212[/C][C]-87400.9189421218[/C][/ROW]
[ROW][C]80[/C][C]4085897[/C][C]4204521.2931563[/C][C]-118624.293156299[/C][/ROW]
[ROW][C]81[/C][C]4136624[/C][C]4140282.94215531[/C][C]-3658.94215531088[/C][/ROW]
[ROW][C]82[/C][C]4197185[/C][C]4187694.46580047[/C][C]9490.53419952886[/C][/ROW]
[ROW][C]83[/C][C]3995056[/C][C]4248252.65285563[/C][C]-253196.652855634[/C][/ROW]
[ROW][C]84[/C][C]4156204[/C][C]4043763.78446733[/C][C]112440.215532673[/C][/ROW]
[ROW][C]85[/C][C]4257779[/C][C]4199080.39601168[/C][C]58698.6039883224[/C][/ROW]
[ROW][C]86[/C][C]4216798[/C][C]4304369.99444408[/C][C]-87571.9944440816[/C][/ROW]
[ROW][C]87[/C][C]4479366[/C][C]4264103.94349953[/C][C]215262.056500467[/C][/ROW]
[ROW][C]88[/C][C]4570080[/C][C]4526481.57549992[/C][C]43598.4245000836[/C][/ROW]
[ROW][C]89[/C][C]4953837[/C][C]4623594.76066091[/C][C]330242.239339093[/C][/ROW]
[ROW][C]90[/C][C]5024138[/C][C]5011976.35500163[/C][C]12161.6449983735[/C][/ROW]
[ROW][C]91[/C][C]4933418[/C][C]5091527.88041041[/C][C]-158109.880410413[/C][/ROW]
[ROW][C]92[/C][C]4984117[/C][C]4999506.52841767[/C][C]-15389.5284176692[/C][/ROW]
[ROW][C]93[/C][C]5014398[/C][C]5045677.5854991[/C][C]-31279.5854990976[/C][/ROW]
[ROW][C]94[/C][C]5044678[/C][C]5075209.44366262[/C][C]-30531.4436626211[/C][/ROW]
[ROW][C]95[/C][C]4852261[/C][C]5104309.00789431[/C][C]-252048.007894311[/C][/ROW]
[ROW][C]96[/C][C]5033856[/C][C]4908438.22914501[/C][C]125417.770854988[/C][/ROW]
[ROW][C]97[/C][C]5134437[/C][C]5084367.97259768[/C][C]50069.0274023227[/C][/ROW]
[ROW][C]98[/C][C]5033856[/C][C]5188932.77292161[/C][C]-155076.77292161[/C][/ROW]
[ROW][C]99[/C][C]5326854[/C][C]5088129.21111342[/C][C]238724.78888658[/C][/ROW]
[ROW][C]100[/C][C]5417607[/C][C]5379314.66759447[/C][C]38292.3324055299[/C][/ROW]
[ROW][C]101[/C][C]5811037[/C][C]5477060.17750941[/C][C]333976.82249059[/C][/ROW]
[ROW][C]102[/C][C]5871631[/C][C]5875006.83988539[/C][C]-3375.8398853885[/C][/ROW]
[ROW][C]103[/C][C]5891089[/C][C]5944793.64628745[/C][C]-53704.6462874478[/C][/ROW]
[ROW][C]104[/C][C]5992631[/C][C]5963602.20941848[/C][C]29028.7905815169[/C][/ROW]
[ROW][C]105[/C][C]5992631[/C][C]6063960.97281847[/C][C]-71329.9728184696[/C][/ROW]
[ROW][C]106[/C][C]6032657[/C][C]6064024.34763832[/C][C]-31367.3476383202[/C][/ROW]
[ROW][C]107[/C][C]5851063[/C][C]6101754.66467043[/C][C]-250691.664670432[/C][/ROW]
[ROW][C]108[/C][C]5941938[/C][C]5916697.83614772[/C][C]25240.1638522809[/C][/ROW]
[ROW][C]109[/C][C]6002377[/C][C]6000907.62118051[/C][C]1469.37881948892[/C][/ROW]
[ROW][C]110[/C][C]5891089[/C][C]6062059.22272295[/C][C]-170970.222722946[/C][/ROW]
[ROW][C]111[/C][C]6214246[/C][C]5949041.26279615[/C][C]265204.737203854[/C][/ROW]
[ROW][C]112[/C][C]6274812[/C][C]6270220.80886497[/C][C]4591.19113502931[/C][/ROW]
[ROW][C]113[/C][C]6678021[/C][C]6338161.9514267[/C][C]339859.048573299[/C][/ROW]
[ROW][C]114[/C][C]6749283[/C][C]6745017.36862915[/C][C]4265.63137085363[/C][/ROW]
[ROW][C]115[/C][C]6849864[/C][C]6825713.83538782[/C][C]24150.1646121787[/C][/ROW]
[ROW][C]116[/C][C]6940739[/C][C]6926662.792473[/C][C]14076.2075269995[/C][/ROW]
[ROW][C]117[/C][C]6950451[/C][C]7018350.83304711[/C][C]-67899.8330471125[/C][/ROW]
[ROW][C]118[/C][C]6961152[/C][C]7027748.59093774[/C][C]-66596.5909377383[/C][/ROW]
[ROW][C]119[/C][C]6779563[/C][C]7035883.85037035[/C][C]-256320.850370355[/C][/ROW]
[ROW][C]120[/C][C]6961152[/C][C]6849800.34368885[/C][C]111351.656311153[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235283&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235283&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
310494951049616-121
410290821039747.74693024-10665.7469302429
512310891019220.94978009211868.05021991
612203881223127.35021041-2739.35021040798
710691081218251.88750762-149143.887507622
89685211065351.67296521-96830.6729652111
9978233959641.05978560618591.9402143944
10978233966870.16928643111362.8307135694
11989056967501.53674948721554.463250513
121008514978861.70822304929652.2917769508
131069108999222.33479584269885.6652041576
1410494951061359.3587907-11864.3587906961
1510797751043554.4302748936220.5697251143
1611295471073881.7168610355665.2831389662
1714126831125230.9565734287452.043426598
1814126831412881.82468094-198.824680940714
1913522441420822.05427901-68578.0542790054
2012916501359667.36996897-68017.3699689738
2113414221296474.1766613744947.8233386267
2214019831344832.3367527857150.6632472237
2314126831407227.092657855455.90734215057
2414429641419562.6643229923401.3356770105
2515338331450236.7538524783596.2461475341
2614732441542618.05024583-69374.0502458345
2714732441483620.37714284-10376.3771428373
2815641141481596.117645982517.8823540974
2918160141573033.96968721242980.030312785
3018364271829730.224178046696.7758219603
3117857341856926.1042918-71192.104291803
3216645781805680.87418448-141102.874184482
3317554201681096.5850672574323.4149327467
3417554201768809.60767231-13389.6076723079
3517651651770724.49860765-5559.49860764667
3618160141780041.970395335972.029604695
3718560401831109.8861508424930.1138491612
3818764531872387.966882054065.0331179474
3918764531893531.88221713-17078.8822171327
4019370141893467.3308986843546.6691013204
4121694521954007.4091155215444.590884503
4222298902189879.7349319940010.2650680114
4322396032256684.80471685-17081.8047168539
4420883222267326.38847342-179004.388473423
4521694522113719.6586715955732.3413284062
4621391712190480.93573348-51309.9357334753
4720785822161208.45507782-82626.4550778167
4822094782098346.08827252111131.911727475
4922396032228109.9989235811493.0010764161
5021889092261424.59018522-72515.5901852185
5121996102210297.17364078-10687.1736407755
5222699162218883.8949267951032.105073208
5325326402289423.09458807243216.905411934
5426633522556075.85136144107276.148638556
5526633522694618.87112051-31266.8711205134
5626029132697259.10876981-94346.1087698131
5726936602634979.1629198458680.8370801578
5826029132723727.07937896-120814.07937896
5925520922633350.28421892-81258.2842189241
6027445092578349.68937436166159.310625636
6127746342770242.263436214391.73656379431
6227033782805003.71922894-101625.719228944
6328849672732816.63203176152150.367968235
6429562282913173.3787806443054.6212193556
6531681032989084.15887934179018.841120662
6633087113204002.66624704104708.333752961
6732892583350641.30386471-61383.3038647058
6832784303333445.70866636-55015.7086663577
6933595593320351.9505624339207.0494375704
7033496923400366.89488421-50674.8948842082
7132286923391058.39751601-162366.397516012
7234102533266976.79413448143276.205865517
7334708473445535.377974425311.6220255974
7434102533510350.21974017-100097.219740167
7536621543449418.97721459212735.022785415
7637833093700757.3679035482551.6320964564
7740653623828645.12863085236716.871369146
7841766504115430.4546748561219.5453251544
7941464924233892.91894212-87400.9189421218
8040858974204521.2931563-118624.293156299
8141366244140282.94215531-3658.94215531088
8241971854187694.465800479490.53419952886
8339950564248252.65285563-253196.652855634
8441562044043763.78446733112440.215532673
8542577794199080.3960116858698.6039883224
8642167984304369.99444408-87571.9944440816
8744793664264103.94349953215262.056500467
8845700804526481.5754999243598.4245000836
8949538374623594.76066091330242.239339093
9050241385011976.3550016312161.6449983735
9149334185091527.88041041-158109.880410413
9249841174999506.52841767-15389.5284176692
9350143985045677.5854991-31279.5854990976
9450446785075209.44366262-30531.4436626211
9548522615104309.00789431-252048.007894311
9650338564908438.22914501125417.770854988
9751344375084367.9725976850069.0274023227
9850338565188932.77292161-155076.77292161
9953268545088129.21111342238724.78888658
10054176075379314.6675944738292.3324055299
10158110375477060.17750941333976.82249059
10258716315875006.83988539-3375.8398853885
10358910895944793.64628745-53704.6462874478
10459926315963602.2094184829028.7905815169
10559926316063960.97281847-71329.9728184696
10660326576064024.34763832-31367.3476383202
10758510636101754.66467043-250691.664670432
10859419385916697.8361477225240.1638522809
10960023776000907.621180511469.37881948892
11058910896062059.22272295-170970.222722946
11162142465949041.26279615265204.737203854
11262748126270220.808864974591.19113502931
11366780216338161.9514267339859.048573299
11467492836745017.368629154265.63137085363
11568498646825713.8353878224150.1646121787
11669407396926662.79247314076.2075269995
11769504517018350.83304711-67899.8330471125
11869611527027748.59093774-66596.5909377383
11967795637035883.85037035-256320.850370355
12069611526849800.34368885111351.656311153







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1217025460.360716026788190.481644667262730.23978738
1227092845.363301666755553.136590277430137.59001305
1237160230.36588736741138.959632997579321.77214162
1247227615.368472946735605.061193087719625.67575281
1257295000.371058596735323.572909557854677.16920762
1267362385.373644236738452.685197287986318.06209118
1277429770.376229876743914.522850568115626.22960919
1287497155.378815516751019.104895888243291.65273515
1297564540.381401166759296.488030418369784.2747719
1307631925.38398686768411.699997098495439.06797651
1317699310.386572446778117.535805188620503.2373397
1327766695.389158086788226.508416978745164.2698992

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 7025460.36071602 & 6788190.48164466 & 7262730.23978738 \tabularnewline
122 & 7092845.36330166 & 6755553.13659027 & 7430137.59001305 \tabularnewline
123 & 7160230.3658873 & 6741138.95963299 & 7579321.77214162 \tabularnewline
124 & 7227615.36847294 & 6735605.06119308 & 7719625.67575281 \tabularnewline
125 & 7295000.37105859 & 6735323.57290955 & 7854677.16920762 \tabularnewline
126 & 7362385.37364423 & 6738452.68519728 & 7986318.06209118 \tabularnewline
127 & 7429770.37622987 & 6743914.52285056 & 8115626.22960919 \tabularnewline
128 & 7497155.37881551 & 6751019.10489588 & 8243291.65273515 \tabularnewline
129 & 7564540.38140116 & 6759296.48803041 & 8369784.2747719 \tabularnewline
130 & 7631925.3839868 & 6768411.69999709 & 8495439.06797651 \tabularnewline
131 & 7699310.38657244 & 6778117.53580518 & 8620503.2373397 \tabularnewline
132 & 7766695.38915808 & 6788226.50841697 & 8745164.2698992 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235283&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]7025460.36071602[/C][C]6788190.48164466[/C][C]7262730.23978738[/C][/ROW]
[ROW][C]122[/C][C]7092845.36330166[/C][C]6755553.13659027[/C][C]7430137.59001305[/C][/ROW]
[ROW][C]123[/C][C]7160230.3658873[/C][C]6741138.95963299[/C][C]7579321.77214162[/C][/ROW]
[ROW][C]124[/C][C]7227615.36847294[/C][C]6735605.06119308[/C][C]7719625.67575281[/C][/ROW]
[ROW][C]125[/C][C]7295000.37105859[/C][C]6735323.57290955[/C][C]7854677.16920762[/C][/ROW]
[ROW][C]126[/C][C]7362385.37364423[/C][C]6738452.68519728[/C][C]7986318.06209118[/C][/ROW]
[ROW][C]127[/C][C]7429770.37622987[/C][C]6743914.52285056[/C][C]8115626.22960919[/C][/ROW]
[ROW][C]128[/C][C]7497155.37881551[/C][C]6751019.10489588[/C][C]8243291.65273515[/C][/ROW]
[ROW][C]129[/C][C]7564540.38140116[/C][C]6759296.48803041[/C][C]8369784.2747719[/C][/ROW]
[ROW][C]130[/C][C]7631925.3839868[/C][C]6768411.69999709[/C][C]8495439.06797651[/C][/ROW]
[ROW][C]131[/C][C]7699310.38657244[/C][C]6778117.53580518[/C][C]8620503.2373397[/C][/ROW]
[ROW][C]132[/C][C]7766695.38915808[/C][C]6788226.50841697[/C][C]8745164.2698992[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235283&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235283&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
1217025460.360716026788190.481644667262730.23978738
1227092845.363301666755553.136590277430137.59001305
1237160230.36588736741138.959632997579321.77214162
1247227615.368472946735605.061193087719625.67575281
1257295000.371058596735323.572909557854677.16920762
1267362385.373644236738452.685197287986318.06209118
1277429770.376229876743914.522850568115626.22960919
1287497155.378815516751019.104895888243291.65273515
1297564540.381401166759296.488030418369784.2747719
1307631925.38398686768411.699997098495439.06797651
1317699310.386572446778117.535805188620503.2373397
1327766695.389158086788226.508416978745164.2698992



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