Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 08 Dec 2016 18:54:40 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/08/t1481219762ux7s6h8k0qi2xi9.htm/, Retrieved Sun, 28 Apr 2024 15:05:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298373, Retrieved Sun, 28 Apr 2024 15:05:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [N2304] [2016-12-08 17:54:40] [40b26b3aac7c05a245868a452a1f2cfc] [Current]
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Dataseries X:
4576.05
4588.7
4710.95
4723.95
4803.1
4913.9
4942.7
4869.1
4962.05
5039
5104.6
5136.7
5253.25
5247.05
5210.15
5306.85
5341.5
5417.9
5332.75
5303.2
5378.45
5404.5
5507.65
5484.4
5525.8
5585.05
5613.45
5686
5721.65
5689.75
5699.7
5781.45
5944.4
5772
5799.85
5872.35
5929.25
5874
5833.25
5870.45
5955.7
5962
5982.35
6043.55
6398.65
6130.85
6102.4
6378.05
5963.7
6262.25
6302.75
6362.2
6357.75
6432.3
6479.8
6618.3
6524.45
6493.95
6515.25
6623.15
6630.2
6663.1
6799.85
6754
6818.45
6864.05
6872.6
6909.95
6869.25
7043.55
7102.35
7149.5
7196.55
7106.6
7134.9
7307.75
7321.25
7311.4
7369.2
7493.1
7460.4
7393.7
7471.1
7489.8
7684.25
7647.85
7665.45
7635.3
7609.9
7676.95
7705.95
7741.5
7799
7781.15
7796.5
7688.75
7559.4
7681.6
7764.45
7745.35
7795.75
7823.4
7826.1
7788
7819.35
7771.85
7783.75
7805.15
7949.85
8022.75
8000
7992.15
8031.75
8045.7
8083.3
8146.55




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=298373&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=298373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298373&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.455767176114046
beta0.0593030693796974
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.455767176114046 \tabularnewline
beta & 0.0593030693796974 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298373&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]0.455767176114046[/C][/ROW]
[ROW][C]beta[/C][C]0.0593030693796974[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298373&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
alpha0.455767176114046
beta0.0593030693796974
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
34710.954601.35109.6
44723.954666.9143943163857.0356056836181
54803.14710.06324380693.036756194002
64913.94772.13486996077141.765130039228
74942.74860.2469730323282.4530269676807
84869.14923.55513915046-54.4551391504601
94962.054922.9932221372339.0567778627701
1050394966.1066093946772.8933906053344
115104.65026.6118052605177.9881947394915
125136.75091.5469411545745.1530588454279
135253.255142.7373144804110.512685519605
145247.055226.7034405240820.34655947592
155210.155270.12474071454-59.9747407145414
165306.855275.317207905331.5327920946975
175341.55323.0680855979818.4319144020183
185417.95365.3461982764152.5538017235876
195332.755424.59639196164-91.8463919616443
205303.25415.5512568121-112.351256812105
215378.455394.1240034499-15.6740034498962
225404.55416.33542573029-11.8354257302854
235507.655439.9764532065967.673546793405
245484.45501.68416774806-17.2841677480601
255525.85524.203781374511.59621862548647
265585.055555.3715986058529.6784013941478
275613.455600.1405124574313.3094875425713
2856865637.8087467196448.1912532803599
295721.655692.6774769571328.9725230428694
305689.755739.57002150932-49.8200215093166
315699.75749.20495543809-49.5049554380912
325781.455757.6454467758423.8045532241595
335944.45800.14140466591144.258595334085
3457725901.43543911125-129.435439111247
355799.855874.49028451085-74.6402845108505
365872.355870.501555883871.84844411612903
375929.255901.4238395807927.8261604192139
3858745944.93801006368-70.9380100636845
395833.255941.52137308758-108.271373087582
405870.455918.16301350659-47.7130135065854
415955.75921.1155604071234.5844395928771
4259625962.51134691472-0.511346914716341
435982.355987.89780502714-5.54780502714402
446043.556010.8388625964632.7111374035449
456398.656052.10121977827346.548780221733
466130.856245.76712962609-114.917129626087
476102.46226.00599958906-123.605999589059
486378.056198.94389635733179.106103642672
495963.76314.68898365339-350.988983653393
506262.256179.3474619391582.9025380608537
516302.756244.0001761515758.7498238484286
526362.26299.232789308262.9672106918015
536357.756358.08945144008-0.339451440082485
546432.36388.0838401161744.2161598838347
556479.86439.5803056680740.2196943319323
566618.36490.34238708421127.957612915787
576524.456584.55102047236-60.101020472357
586493.956591.42426760838-97.4742676083806
596515.256578.62944267474-63.3794426747436
606623.156579.6608753703243.4891246296811
616630.26630.57493433008-0.374934330082397
626663.16661.487061132631.61293886736894
636799.856693.34879043359106.501209566413
6467546775.89370716881-21.8937071688051
656818.456799.3286835663219.1213164336805
666864.056841.9737798944322.0762201055732
676872.66886.56230906594-13.9623090659425
686909.956914.34828079649-4.39828079648578
696869.256946.37434422413-77.1243442241312
707043.556943.16970804909100.380291950911
717102.357023.5789765774178.7710234225942
727149.57096.268503946753.2314960532976
737196.557158.7567148144937.7932851855076
747106.67215.23018765539-108.630187655393
757134.97202.03254841717-67.1325484171712
767307.757205.93368616408101.816313835915
777321.257289.5881010575731.6618989424251
787311.47342.12420661396-30.7242066139643
797369.27365.396347097593.8036529024057
807493.17404.5079592337188.5920407662879
817460.47484.65783592102-24.2578359210183
827393.77512.71879267608-119.01879267608
837471.17494.37392912573-23.273929125734
847489.87519.03737477252-29.237374772516
857684.257540.19263839692144.057361603075
867647.857644.22359356173.62640643829945
877665.457684.34874478849-18.8987447884865
887635.37713.69686875784-78.3968687578372
897609.97713.80875944469-103.908759444695
907676.957699.48468102494-22.5346810249384
917705.957721.6391603326-15.6891603325985
927741.57746.4895504923-4.98955049230335
9377997776.0816120855122.9183879144939
947781.157819.01264314078-37.8626431407829
957796.57833.21830893208-36.7183089320824
967688.757846.95308782971-158.203087829706
977559.47801.04311696111-241.643116961113
987681.67710.57269463847-28.9726946384735
997764.457716.2473847793248.2026152206836
1007745.357758.39888716247-13.0488871624693
1017795.757772.2812748282423.4687251717623
1027823.47803.4415134606319.9584865393726
1037826.17833.54134635126-7.44134635126011
10477887850.95210714968-62.9521071496756
1057819.357841.36139099645-22.0113909964457
1067771.857849.83517691789-77.9851769178858
1077783.757830.69013452523-46.9401345252263
1087805.157824.42568705785-19.2756870578505
1097949.857830.24879585658119.601204143418
1108022.757902.60006147062120.149938529381
11180007978.4488818995321.5511181004704
1127992.158009.94208845148-17.7920884514815
1138031.758023.023061304528.72693869547857
1148045.78048.42641139771-2.72641139771167
1158083.38068.536009944614.7639900553986
1168146.558097.0162062884649.5337937115401

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 4710.95 & 4601.35 & 109.6 \tabularnewline
4 & 4723.95 & 4666.91439431638 & 57.0356056836181 \tabularnewline
5 & 4803.1 & 4710.063243806 & 93.036756194002 \tabularnewline
6 & 4913.9 & 4772.13486996077 & 141.765130039228 \tabularnewline
7 & 4942.7 & 4860.24697303232 & 82.4530269676807 \tabularnewline
8 & 4869.1 & 4923.55513915046 & -54.4551391504601 \tabularnewline
9 & 4962.05 & 4922.99322213723 & 39.0567778627701 \tabularnewline
10 & 5039 & 4966.10660939467 & 72.8933906053344 \tabularnewline
11 & 5104.6 & 5026.61180526051 & 77.9881947394915 \tabularnewline
12 & 5136.7 & 5091.54694115457 & 45.1530588454279 \tabularnewline
13 & 5253.25 & 5142.7373144804 & 110.512685519605 \tabularnewline
14 & 5247.05 & 5226.70344052408 & 20.34655947592 \tabularnewline
15 & 5210.15 & 5270.12474071454 & -59.9747407145414 \tabularnewline
16 & 5306.85 & 5275.3172079053 & 31.5327920946975 \tabularnewline
17 & 5341.5 & 5323.06808559798 & 18.4319144020183 \tabularnewline
18 & 5417.9 & 5365.34619827641 & 52.5538017235876 \tabularnewline
19 & 5332.75 & 5424.59639196164 & -91.8463919616443 \tabularnewline
20 & 5303.2 & 5415.5512568121 & -112.351256812105 \tabularnewline
21 & 5378.45 & 5394.1240034499 & -15.6740034498962 \tabularnewline
22 & 5404.5 & 5416.33542573029 & -11.8354257302854 \tabularnewline
23 & 5507.65 & 5439.97645320659 & 67.673546793405 \tabularnewline
24 & 5484.4 & 5501.68416774806 & -17.2841677480601 \tabularnewline
25 & 5525.8 & 5524.20378137451 & 1.59621862548647 \tabularnewline
26 & 5585.05 & 5555.37159860585 & 29.6784013941478 \tabularnewline
27 & 5613.45 & 5600.14051245743 & 13.3094875425713 \tabularnewline
28 & 5686 & 5637.80874671964 & 48.1912532803599 \tabularnewline
29 & 5721.65 & 5692.67747695713 & 28.9725230428694 \tabularnewline
30 & 5689.75 & 5739.57002150932 & -49.8200215093166 \tabularnewline
31 & 5699.7 & 5749.20495543809 & -49.5049554380912 \tabularnewline
32 & 5781.45 & 5757.64544677584 & 23.8045532241595 \tabularnewline
33 & 5944.4 & 5800.14140466591 & 144.258595334085 \tabularnewline
34 & 5772 & 5901.43543911125 & -129.435439111247 \tabularnewline
35 & 5799.85 & 5874.49028451085 & -74.6402845108505 \tabularnewline
36 & 5872.35 & 5870.50155588387 & 1.84844411612903 \tabularnewline
37 & 5929.25 & 5901.42383958079 & 27.8261604192139 \tabularnewline
38 & 5874 & 5944.93801006368 & -70.9380100636845 \tabularnewline
39 & 5833.25 & 5941.52137308758 & -108.271373087582 \tabularnewline
40 & 5870.45 & 5918.16301350659 & -47.7130135065854 \tabularnewline
41 & 5955.7 & 5921.11556040712 & 34.5844395928771 \tabularnewline
42 & 5962 & 5962.51134691472 & -0.511346914716341 \tabularnewline
43 & 5982.35 & 5987.89780502714 & -5.54780502714402 \tabularnewline
44 & 6043.55 & 6010.83886259646 & 32.7111374035449 \tabularnewline
45 & 6398.65 & 6052.10121977827 & 346.548780221733 \tabularnewline
46 & 6130.85 & 6245.76712962609 & -114.917129626087 \tabularnewline
47 & 6102.4 & 6226.00599958906 & -123.605999589059 \tabularnewline
48 & 6378.05 & 6198.94389635733 & 179.106103642672 \tabularnewline
49 & 5963.7 & 6314.68898365339 & -350.988983653393 \tabularnewline
50 & 6262.25 & 6179.34746193915 & 82.9025380608537 \tabularnewline
51 & 6302.75 & 6244.00017615157 & 58.7498238484286 \tabularnewline
52 & 6362.2 & 6299.2327893082 & 62.9672106918015 \tabularnewline
53 & 6357.75 & 6358.08945144008 & -0.339451440082485 \tabularnewline
54 & 6432.3 & 6388.08384011617 & 44.2161598838347 \tabularnewline
55 & 6479.8 & 6439.58030566807 & 40.2196943319323 \tabularnewline
56 & 6618.3 & 6490.34238708421 & 127.957612915787 \tabularnewline
57 & 6524.45 & 6584.55102047236 & -60.101020472357 \tabularnewline
58 & 6493.95 & 6591.42426760838 & -97.4742676083806 \tabularnewline
59 & 6515.25 & 6578.62944267474 & -63.3794426747436 \tabularnewline
60 & 6623.15 & 6579.66087537032 & 43.4891246296811 \tabularnewline
61 & 6630.2 & 6630.57493433008 & -0.374934330082397 \tabularnewline
62 & 6663.1 & 6661.48706113263 & 1.61293886736894 \tabularnewline
63 & 6799.85 & 6693.34879043359 & 106.501209566413 \tabularnewline
64 & 6754 & 6775.89370716881 & -21.8937071688051 \tabularnewline
65 & 6818.45 & 6799.32868356632 & 19.1213164336805 \tabularnewline
66 & 6864.05 & 6841.97377989443 & 22.0762201055732 \tabularnewline
67 & 6872.6 & 6886.56230906594 & -13.9623090659425 \tabularnewline
68 & 6909.95 & 6914.34828079649 & -4.39828079648578 \tabularnewline
69 & 6869.25 & 6946.37434422413 & -77.1243442241312 \tabularnewline
70 & 7043.55 & 6943.16970804909 & 100.380291950911 \tabularnewline
71 & 7102.35 & 7023.57897657741 & 78.7710234225942 \tabularnewline
72 & 7149.5 & 7096.2685039467 & 53.2314960532976 \tabularnewline
73 & 7196.55 & 7158.75671481449 & 37.7932851855076 \tabularnewline
74 & 7106.6 & 7215.23018765539 & -108.630187655393 \tabularnewline
75 & 7134.9 & 7202.03254841717 & -67.1325484171712 \tabularnewline
76 & 7307.75 & 7205.93368616408 & 101.816313835915 \tabularnewline
77 & 7321.25 & 7289.58810105757 & 31.6618989424251 \tabularnewline
78 & 7311.4 & 7342.12420661396 & -30.7242066139643 \tabularnewline
79 & 7369.2 & 7365.39634709759 & 3.8036529024057 \tabularnewline
80 & 7493.1 & 7404.50795923371 & 88.5920407662879 \tabularnewline
81 & 7460.4 & 7484.65783592102 & -24.2578359210183 \tabularnewline
82 & 7393.7 & 7512.71879267608 & -119.01879267608 \tabularnewline
83 & 7471.1 & 7494.37392912573 & -23.273929125734 \tabularnewline
84 & 7489.8 & 7519.03737477252 & -29.237374772516 \tabularnewline
85 & 7684.25 & 7540.19263839692 & 144.057361603075 \tabularnewline
86 & 7647.85 & 7644.2235935617 & 3.62640643829945 \tabularnewline
87 & 7665.45 & 7684.34874478849 & -18.8987447884865 \tabularnewline
88 & 7635.3 & 7713.69686875784 & -78.3968687578372 \tabularnewline
89 & 7609.9 & 7713.80875944469 & -103.908759444695 \tabularnewline
90 & 7676.95 & 7699.48468102494 & -22.5346810249384 \tabularnewline
91 & 7705.95 & 7721.6391603326 & -15.6891603325985 \tabularnewline
92 & 7741.5 & 7746.4895504923 & -4.98955049230335 \tabularnewline
93 & 7799 & 7776.08161208551 & 22.9183879144939 \tabularnewline
94 & 7781.15 & 7819.01264314078 & -37.8626431407829 \tabularnewline
95 & 7796.5 & 7833.21830893208 & -36.7183089320824 \tabularnewline
96 & 7688.75 & 7846.95308782971 & -158.203087829706 \tabularnewline
97 & 7559.4 & 7801.04311696111 & -241.643116961113 \tabularnewline
98 & 7681.6 & 7710.57269463847 & -28.9726946384735 \tabularnewline
99 & 7764.45 & 7716.24738477932 & 48.2026152206836 \tabularnewline
100 & 7745.35 & 7758.39888716247 & -13.0488871624693 \tabularnewline
101 & 7795.75 & 7772.28127482824 & 23.4687251717623 \tabularnewline
102 & 7823.4 & 7803.44151346063 & 19.9584865393726 \tabularnewline
103 & 7826.1 & 7833.54134635126 & -7.44134635126011 \tabularnewline
104 & 7788 & 7850.95210714968 & -62.9521071496756 \tabularnewline
105 & 7819.35 & 7841.36139099645 & -22.0113909964457 \tabularnewline
106 & 7771.85 & 7849.83517691789 & -77.9851769178858 \tabularnewline
107 & 7783.75 & 7830.69013452523 & -46.9401345252263 \tabularnewline
108 & 7805.15 & 7824.42568705785 & -19.2756870578505 \tabularnewline
109 & 7949.85 & 7830.24879585658 & 119.601204143418 \tabularnewline
110 & 8022.75 & 7902.60006147062 & 120.149938529381 \tabularnewline
111 & 8000 & 7978.44888189953 & 21.5511181004704 \tabularnewline
112 & 7992.15 & 8009.94208845148 & -17.7920884514815 \tabularnewline
113 & 8031.75 & 8023.02306130452 & 8.72693869547857 \tabularnewline
114 & 8045.7 & 8048.42641139771 & -2.72641139771167 \tabularnewline
115 & 8083.3 & 8068.5360099446 & 14.7639900553986 \tabularnewline
116 & 8146.55 & 8097.01620628846 & 49.5337937115401 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298373&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]4710.95[/C][C]4601.35[/C][C]109.6[/C][/ROW]
[ROW][C]4[/C][C]4723.95[/C][C]4666.91439431638[/C][C]57.0356056836181[/C][/ROW]
[ROW][C]5[/C][C]4803.1[/C][C]4710.063243806[/C][C]93.036756194002[/C][/ROW]
[ROW][C]6[/C][C]4913.9[/C][C]4772.13486996077[/C][C]141.765130039228[/C][/ROW]
[ROW][C]7[/C][C]4942.7[/C][C]4860.24697303232[/C][C]82.4530269676807[/C][/ROW]
[ROW][C]8[/C][C]4869.1[/C][C]4923.55513915046[/C][C]-54.4551391504601[/C][/ROW]
[ROW][C]9[/C][C]4962.05[/C][C]4922.99322213723[/C][C]39.0567778627701[/C][/ROW]
[ROW][C]10[/C][C]5039[/C][C]4966.10660939467[/C][C]72.8933906053344[/C][/ROW]
[ROW][C]11[/C][C]5104.6[/C][C]5026.61180526051[/C][C]77.9881947394915[/C][/ROW]
[ROW][C]12[/C][C]5136.7[/C][C]5091.54694115457[/C][C]45.1530588454279[/C][/ROW]
[ROW][C]13[/C][C]5253.25[/C][C]5142.7373144804[/C][C]110.512685519605[/C][/ROW]
[ROW][C]14[/C][C]5247.05[/C][C]5226.70344052408[/C][C]20.34655947592[/C][/ROW]
[ROW][C]15[/C][C]5210.15[/C][C]5270.12474071454[/C][C]-59.9747407145414[/C][/ROW]
[ROW][C]16[/C][C]5306.85[/C][C]5275.3172079053[/C][C]31.5327920946975[/C][/ROW]
[ROW][C]17[/C][C]5341.5[/C][C]5323.06808559798[/C][C]18.4319144020183[/C][/ROW]
[ROW][C]18[/C][C]5417.9[/C][C]5365.34619827641[/C][C]52.5538017235876[/C][/ROW]
[ROW][C]19[/C][C]5332.75[/C][C]5424.59639196164[/C][C]-91.8463919616443[/C][/ROW]
[ROW][C]20[/C][C]5303.2[/C][C]5415.5512568121[/C][C]-112.351256812105[/C][/ROW]
[ROW][C]21[/C][C]5378.45[/C][C]5394.1240034499[/C][C]-15.6740034498962[/C][/ROW]
[ROW][C]22[/C][C]5404.5[/C][C]5416.33542573029[/C][C]-11.8354257302854[/C][/ROW]
[ROW][C]23[/C][C]5507.65[/C][C]5439.97645320659[/C][C]67.673546793405[/C][/ROW]
[ROW][C]24[/C][C]5484.4[/C][C]5501.68416774806[/C][C]-17.2841677480601[/C][/ROW]
[ROW][C]25[/C][C]5525.8[/C][C]5524.20378137451[/C][C]1.59621862548647[/C][/ROW]
[ROW][C]26[/C][C]5585.05[/C][C]5555.37159860585[/C][C]29.6784013941478[/C][/ROW]
[ROW][C]27[/C][C]5613.45[/C][C]5600.14051245743[/C][C]13.3094875425713[/C][/ROW]
[ROW][C]28[/C][C]5686[/C][C]5637.80874671964[/C][C]48.1912532803599[/C][/ROW]
[ROW][C]29[/C][C]5721.65[/C][C]5692.67747695713[/C][C]28.9725230428694[/C][/ROW]
[ROW][C]30[/C][C]5689.75[/C][C]5739.57002150932[/C][C]-49.8200215093166[/C][/ROW]
[ROW][C]31[/C][C]5699.7[/C][C]5749.20495543809[/C][C]-49.5049554380912[/C][/ROW]
[ROW][C]32[/C][C]5781.45[/C][C]5757.64544677584[/C][C]23.8045532241595[/C][/ROW]
[ROW][C]33[/C][C]5944.4[/C][C]5800.14140466591[/C][C]144.258595334085[/C][/ROW]
[ROW][C]34[/C][C]5772[/C][C]5901.43543911125[/C][C]-129.435439111247[/C][/ROW]
[ROW][C]35[/C][C]5799.85[/C][C]5874.49028451085[/C][C]-74.6402845108505[/C][/ROW]
[ROW][C]36[/C][C]5872.35[/C][C]5870.50155588387[/C][C]1.84844411612903[/C][/ROW]
[ROW][C]37[/C][C]5929.25[/C][C]5901.42383958079[/C][C]27.8261604192139[/C][/ROW]
[ROW][C]38[/C][C]5874[/C][C]5944.93801006368[/C][C]-70.9380100636845[/C][/ROW]
[ROW][C]39[/C][C]5833.25[/C][C]5941.52137308758[/C][C]-108.271373087582[/C][/ROW]
[ROW][C]40[/C][C]5870.45[/C][C]5918.16301350659[/C][C]-47.7130135065854[/C][/ROW]
[ROW][C]41[/C][C]5955.7[/C][C]5921.11556040712[/C][C]34.5844395928771[/C][/ROW]
[ROW][C]42[/C][C]5962[/C][C]5962.51134691472[/C][C]-0.511346914716341[/C][/ROW]
[ROW][C]43[/C][C]5982.35[/C][C]5987.89780502714[/C][C]-5.54780502714402[/C][/ROW]
[ROW][C]44[/C][C]6043.55[/C][C]6010.83886259646[/C][C]32.7111374035449[/C][/ROW]
[ROW][C]45[/C][C]6398.65[/C][C]6052.10121977827[/C][C]346.548780221733[/C][/ROW]
[ROW][C]46[/C][C]6130.85[/C][C]6245.76712962609[/C][C]-114.917129626087[/C][/ROW]
[ROW][C]47[/C][C]6102.4[/C][C]6226.00599958906[/C][C]-123.605999589059[/C][/ROW]
[ROW][C]48[/C][C]6378.05[/C][C]6198.94389635733[/C][C]179.106103642672[/C][/ROW]
[ROW][C]49[/C][C]5963.7[/C][C]6314.68898365339[/C][C]-350.988983653393[/C][/ROW]
[ROW][C]50[/C][C]6262.25[/C][C]6179.34746193915[/C][C]82.9025380608537[/C][/ROW]
[ROW][C]51[/C][C]6302.75[/C][C]6244.00017615157[/C][C]58.7498238484286[/C][/ROW]
[ROW][C]52[/C][C]6362.2[/C][C]6299.2327893082[/C][C]62.9672106918015[/C][/ROW]
[ROW][C]53[/C][C]6357.75[/C][C]6358.08945144008[/C][C]-0.339451440082485[/C][/ROW]
[ROW][C]54[/C][C]6432.3[/C][C]6388.08384011617[/C][C]44.2161598838347[/C][/ROW]
[ROW][C]55[/C][C]6479.8[/C][C]6439.58030566807[/C][C]40.2196943319323[/C][/ROW]
[ROW][C]56[/C][C]6618.3[/C][C]6490.34238708421[/C][C]127.957612915787[/C][/ROW]
[ROW][C]57[/C][C]6524.45[/C][C]6584.55102047236[/C][C]-60.101020472357[/C][/ROW]
[ROW][C]58[/C][C]6493.95[/C][C]6591.42426760838[/C][C]-97.4742676083806[/C][/ROW]
[ROW][C]59[/C][C]6515.25[/C][C]6578.62944267474[/C][C]-63.3794426747436[/C][/ROW]
[ROW][C]60[/C][C]6623.15[/C][C]6579.66087537032[/C][C]43.4891246296811[/C][/ROW]
[ROW][C]61[/C][C]6630.2[/C][C]6630.57493433008[/C][C]-0.374934330082397[/C][/ROW]
[ROW][C]62[/C][C]6663.1[/C][C]6661.48706113263[/C][C]1.61293886736894[/C][/ROW]
[ROW][C]63[/C][C]6799.85[/C][C]6693.34879043359[/C][C]106.501209566413[/C][/ROW]
[ROW][C]64[/C][C]6754[/C][C]6775.89370716881[/C][C]-21.8937071688051[/C][/ROW]
[ROW][C]65[/C][C]6818.45[/C][C]6799.32868356632[/C][C]19.1213164336805[/C][/ROW]
[ROW][C]66[/C][C]6864.05[/C][C]6841.97377989443[/C][C]22.0762201055732[/C][/ROW]
[ROW][C]67[/C][C]6872.6[/C][C]6886.56230906594[/C][C]-13.9623090659425[/C][/ROW]
[ROW][C]68[/C][C]6909.95[/C][C]6914.34828079649[/C][C]-4.39828079648578[/C][/ROW]
[ROW][C]69[/C][C]6869.25[/C][C]6946.37434422413[/C][C]-77.1243442241312[/C][/ROW]
[ROW][C]70[/C][C]7043.55[/C][C]6943.16970804909[/C][C]100.380291950911[/C][/ROW]
[ROW][C]71[/C][C]7102.35[/C][C]7023.57897657741[/C][C]78.7710234225942[/C][/ROW]
[ROW][C]72[/C][C]7149.5[/C][C]7096.2685039467[/C][C]53.2314960532976[/C][/ROW]
[ROW][C]73[/C][C]7196.55[/C][C]7158.75671481449[/C][C]37.7932851855076[/C][/ROW]
[ROW][C]74[/C][C]7106.6[/C][C]7215.23018765539[/C][C]-108.630187655393[/C][/ROW]
[ROW][C]75[/C][C]7134.9[/C][C]7202.03254841717[/C][C]-67.1325484171712[/C][/ROW]
[ROW][C]76[/C][C]7307.75[/C][C]7205.93368616408[/C][C]101.816313835915[/C][/ROW]
[ROW][C]77[/C][C]7321.25[/C][C]7289.58810105757[/C][C]31.6618989424251[/C][/ROW]
[ROW][C]78[/C][C]7311.4[/C][C]7342.12420661396[/C][C]-30.7242066139643[/C][/ROW]
[ROW][C]79[/C][C]7369.2[/C][C]7365.39634709759[/C][C]3.8036529024057[/C][/ROW]
[ROW][C]80[/C][C]7493.1[/C][C]7404.50795923371[/C][C]88.5920407662879[/C][/ROW]
[ROW][C]81[/C][C]7460.4[/C][C]7484.65783592102[/C][C]-24.2578359210183[/C][/ROW]
[ROW][C]82[/C][C]7393.7[/C][C]7512.71879267608[/C][C]-119.01879267608[/C][/ROW]
[ROW][C]83[/C][C]7471.1[/C][C]7494.37392912573[/C][C]-23.273929125734[/C][/ROW]
[ROW][C]84[/C][C]7489.8[/C][C]7519.03737477252[/C][C]-29.237374772516[/C][/ROW]
[ROW][C]85[/C][C]7684.25[/C][C]7540.19263839692[/C][C]144.057361603075[/C][/ROW]
[ROW][C]86[/C][C]7647.85[/C][C]7644.2235935617[/C][C]3.62640643829945[/C][/ROW]
[ROW][C]87[/C][C]7665.45[/C][C]7684.34874478849[/C][C]-18.8987447884865[/C][/ROW]
[ROW][C]88[/C][C]7635.3[/C][C]7713.69686875784[/C][C]-78.3968687578372[/C][/ROW]
[ROW][C]89[/C][C]7609.9[/C][C]7713.80875944469[/C][C]-103.908759444695[/C][/ROW]
[ROW][C]90[/C][C]7676.95[/C][C]7699.48468102494[/C][C]-22.5346810249384[/C][/ROW]
[ROW][C]91[/C][C]7705.95[/C][C]7721.6391603326[/C][C]-15.6891603325985[/C][/ROW]
[ROW][C]92[/C][C]7741.5[/C][C]7746.4895504923[/C][C]-4.98955049230335[/C][/ROW]
[ROW][C]93[/C][C]7799[/C][C]7776.08161208551[/C][C]22.9183879144939[/C][/ROW]
[ROW][C]94[/C][C]7781.15[/C][C]7819.01264314078[/C][C]-37.8626431407829[/C][/ROW]
[ROW][C]95[/C][C]7796.5[/C][C]7833.21830893208[/C][C]-36.7183089320824[/C][/ROW]
[ROW][C]96[/C][C]7688.75[/C][C]7846.95308782971[/C][C]-158.203087829706[/C][/ROW]
[ROW][C]97[/C][C]7559.4[/C][C]7801.04311696111[/C][C]-241.643116961113[/C][/ROW]
[ROW][C]98[/C][C]7681.6[/C][C]7710.57269463847[/C][C]-28.9726946384735[/C][/ROW]
[ROW][C]99[/C][C]7764.45[/C][C]7716.24738477932[/C][C]48.2026152206836[/C][/ROW]
[ROW][C]100[/C][C]7745.35[/C][C]7758.39888716247[/C][C]-13.0488871624693[/C][/ROW]
[ROW][C]101[/C][C]7795.75[/C][C]7772.28127482824[/C][C]23.4687251717623[/C][/ROW]
[ROW][C]102[/C][C]7823.4[/C][C]7803.44151346063[/C][C]19.9584865393726[/C][/ROW]
[ROW][C]103[/C][C]7826.1[/C][C]7833.54134635126[/C][C]-7.44134635126011[/C][/ROW]
[ROW][C]104[/C][C]7788[/C][C]7850.95210714968[/C][C]-62.9521071496756[/C][/ROW]
[ROW][C]105[/C][C]7819.35[/C][C]7841.36139099645[/C][C]-22.0113909964457[/C][/ROW]
[ROW][C]106[/C][C]7771.85[/C][C]7849.83517691789[/C][C]-77.9851769178858[/C][/ROW]
[ROW][C]107[/C][C]7783.75[/C][C]7830.69013452523[/C][C]-46.9401345252263[/C][/ROW]
[ROW][C]108[/C][C]7805.15[/C][C]7824.42568705785[/C][C]-19.2756870578505[/C][/ROW]
[ROW][C]109[/C][C]7949.85[/C][C]7830.24879585658[/C][C]119.601204143418[/C][/ROW]
[ROW][C]110[/C][C]8022.75[/C][C]7902.60006147062[/C][C]120.149938529381[/C][/ROW]
[ROW][C]111[/C][C]8000[/C][C]7978.44888189953[/C][C]21.5511181004704[/C][/ROW]
[ROW][C]112[/C][C]7992.15[/C][C]8009.94208845148[/C][C]-17.7920884514815[/C][/ROW]
[ROW][C]113[/C][C]8031.75[/C][C]8023.02306130452[/C][C]8.72693869547857[/C][/ROW]
[ROW][C]114[/C][C]8045.7[/C][C]8048.42641139771[/C][C]-2.72641139771167[/C][/ROW]
[ROW][C]115[/C][C]8083.3[/C][C]8068.5360099446[/C][C]14.7639900553986[/C][/ROW]
[ROW][C]116[/C][C]8146.55[/C][C]8097.01620628846[/C][C]49.5337937115401[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298373&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298373&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
34710.954601.35109.6
44723.954666.9143943163857.0356056836181
54803.14710.06324380693.036756194002
64913.94772.13486996077141.765130039228
74942.74860.2469730323282.4530269676807
84869.14923.55513915046-54.4551391504601
94962.054922.9932221372339.0567778627701
1050394966.1066093946772.8933906053344
115104.65026.6118052605177.9881947394915
125136.75091.5469411545745.1530588454279
135253.255142.7373144804110.512685519605
145247.055226.7034405240820.34655947592
155210.155270.12474071454-59.9747407145414
165306.855275.317207905331.5327920946975
175341.55323.0680855979818.4319144020183
185417.95365.3461982764152.5538017235876
195332.755424.59639196164-91.8463919616443
205303.25415.5512568121-112.351256812105
215378.455394.1240034499-15.6740034498962
225404.55416.33542573029-11.8354257302854
235507.655439.9764532065967.673546793405
245484.45501.68416774806-17.2841677480601
255525.85524.203781374511.59621862548647
265585.055555.3715986058529.6784013941478
275613.455600.1405124574313.3094875425713
2856865637.8087467196448.1912532803599
295721.655692.6774769571328.9725230428694
305689.755739.57002150932-49.8200215093166
315699.75749.20495543809-49.5049554380912
325781.455757.6454467758423.8045532241595
335944.45800.14140466591144.258595334085
3457725901.43543911125-129.435439111247
355799.855874.49028451085-74.6402845108505
365872.355870.501555883871.84844411612903
375929.255901.4238395807927.8261604192139
3858745944.93801006368-70.9380100636845
395833.255941.52137308758-108.271373087582
405870.455918.16301350659-47.7130135065854
415955.75921.1155604071234.5844395928771
4259625962.51134691472-0.511346914716341
435982.355987.89780502714-5.54780502714402
446043.556010.8388625964632.7111374035449
456398.656052.10121977827346.548780221733
466130.856245.76712962609-114.917129626087
476102.46226.00599958906-123.605999589059
486378.056198.94389635733179.106103642672
495963.76314.68898365339-350.988983653393
506262.256179.3474619391582.9025380608537
516302.756244.0001761515758.7498238484286
526362.26299.232789308262.9672106918015
536357.756358.08945144008-0.339451440082485
546432.36388.0838401161744.2161598838347
556479.86439.5803056680740.2196943319323
566618.36490.34238708421127.957612915787
576524.456584.55102047236-60.101020472357
586493.956591.42426760838-97.4742676083806
596515.256578.62944267474-63.3794426747436
606623.156579.6608753703243.4891246296811
616630.26630.57493433008-0.374934330082397
626663.16661.487061132631.61293886736894
636799.856693.34879043359106.501209566413
6467546775.89370716881-21.8937071688051
656818.456799.3286835663219.1213164336805
666864.056841.9737798944322.0762201055732
676872.66886.56230906594-13.9623090659425
686909.956914.34828079649-4.39828079648578
696869.256946.37434422413-77.1243442241312
707043.556943.16970804909100.380291950911
717102.357023.5789765774178.7710234225942
727149.57096.268503946753.2314960532976
737196.557158.7567148144937.7932851855076
747106.67215.23018765539-108.630187655393
757134.97202.03254841717-67.1325484171712
767307.757205.93368616408101.816313835915
777321.257289.5881010575731.6618989424251
787311.47342.12420661396-30.7242066139643
797369.27365.396347097593.8036529024057
807493.17404.5079592337188.5920407662879
817460.47484.65783592102-24.2578359210183
827393.77512.71879267608-119.01879267608
837471.17494.37392912573-23.273929125734
847489.87519.03737477252-29.237374772516
857684.257540.19263839692144.057361603075
867647.857644.22359356173.62640643829945
877665.457684.34874478849-18.8987447884865
887635.37713.69686875784-78.3968687578372
897609.97713.80875944469-103.908759444695
907676.957699.48468102494-22.5346810249384
917705.957721.6391603326-15.6891603325985
927741.57746.4895504923-4.98955049230335
9377997776.0816120855122.9183879144939
947781.157819.01264314078-37.8626431407829
957796.57833.21830893208-36.7183089320824
967688.757846.95308782971-158.203087829706
977559.47801.04311696111-241.643116961113
987681.67710.57269463847-28.9726946384735
997764.457716.2473847793248.2026152206836
1007745.357758.39888716247-13.0488871624693
1017795.757772.2812748282423.4687251717623
1027823.47803.4415134606319.9584865393726
1037826.17833.54134635126-7.44134635126011
10477887850.95210714968-62.9521071496756
1057819.357841.36139099645-22.0113909964457
1067771.857849.83517691789-77.9851769178858
1077783.757830.69013452523-46.9401345252263
1087805.157824.42568705785-19.2756870578505
1097949.857830.24879585658119.601204143418
1108022.757902.60006147062120.149938529381
11180007978.4488818995321.5511181004704
1127992.158009.94208845148-17.7920884514815
1138031.758023.023061304528.72693869547857
1148045.78048.42641139771-2.72641139771167
1158083.38068.536009944614.7639900553986
1168146.558097.0162062884649.5337937115401







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1178142.682156675497976.388467073658308.97584627733
1188165.772229780397981.111974330278350.43248523051
1198188.862302885297985.669920154268392.05468561633
1208211.952375990197990.012748276768433.89200370362
1218235.04244909517994.106823732158475.97807445804
1228258.13252227997.928986798498518.33605760151
1238281.22259530498001.463207748458560.98198286135
1248304.31266840988004.698442082478603.92689473713
1258327.40274151478007.627206665828647.17827636359
1268350.492814619618010.244606815938690.74102242328
1278373.582887724518012.5476552728734.61812017702
1288396.672960829418014.534785635778778.81113602305

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
117 & 8142.68215667549 & 7976.38846707365 & 8308.97584627733 \tabularnewline
118 & 8165.77222978039 & 7981.11197433027 & 8350.43248523051 \tabularnewline
119 & 8188.86230288529 & 7985.66992015426 & 8392.05468561633 \tabularnewline
120 & 8211.95237599019 & 7990.01274827676 & 8433.89200370362 \tabularnewline
121 & 8235.0424490951 & 7994.10682373215 & 8475.97807445804 \tabularnewline
122 & 8258.1325222 & 7997.92898679849 & 8518.33605760151 \tabularnewline
123 & 8281.2225953049 & 8001.46320774845 & 8560.98198286135 \tabularnewline
124 & 8304.3126684098 & 8004.69844208247 & 8603.92689473713 \tabularnewline
125 & 8327.4027415147 & 8007.62720666582 & 8647.17827636359 \tabularnewline
126 & 8350.49281461961 & 8010.24460681593 & 8690.74102242328 \tabularnewline
127 & 8373.58288772451 & 8012.547655272 & 8734.61812017702 \tabularnewline
128 & 8396.67296082941 & 8014.53478563577 & 8778.81113602305 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298373&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]117[/C][C]8142.68215667549[/C][C]7976.38846707365[/C][C]8308.97584627733[/C][/ROW]
[ROW][C]118[/C][C]8165.77222978039[/C][C]7981.11197433027[/C][C]8350.43248523051[/C][/ROW]
[ROW][C]119[/C][C]8188.86230288529[/C][C]7985.66992015426[/C][C]8392.05468561633[/C][/ROW]
[ROW][C]120[/C][C]8211.95237599019[/C][C]7990.01274827676[/C][C]8433.89200370362[/C][/ROW]
[ROW][C]121[/C][C]8235.0424490951[/C][C]7994.10682373215[/C][C]8475.97807445804[/C][/ROW]
[ROW][C]122[/C][C]8258.1325222[/C][C]7997.92898679849[/C][C]8518.33605760151[/C][/ROW]
[ROW][C]123[/C][C]8281.2225953049[/C][C]8001.46320774845[/C][C]8560.98198286135[/C][/ROW]
[ROW][C]124[/C][C]8304.3126684098[/C][C]8004.69844208247[/C][C]8603.92689473713[/C][/ROW]
[ROW][C]125[/C][C]8327.4027415147[/C][C]8007.62720666582[/C][C]8647.17827636359[/C][/ROW]
[ROW][C]126[/C][C]8350.49281461961[/C][C]8010.24460681593[/C][C]8690.74102242328[/C][/ROW]
[ROW][C]127[/C][C]8373.58288772451[/C][C]8012.547655272[/C][C]8734.61812017702[/C][/ROW]
[ROW][C]128[/C][C]8396.67296082941[/C][C]8014.53478563577[/C][C]8778.81113602305[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298373&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298373&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
1178142.682156675497976.388467073658308.97584627733
1188165.772229780397981.111974330278350.43248523051
1198188.862302885297985.669920154268392.05468561633
1208211.952375990197990.012748276768433.89200370362
1218235.04244909517994.106823732158475.97807445804
1228258.13252227997.928986798498518.33605760151
1238281.22259530498001.463207748458560.98198286135
1248304.31266840988004.698442082478603.92689473713
1258327.40274151478007.627206665828647.17827636359
1268350.492814619618010.244606815938690.74102242328
1278373.582887724518012.5476552728734.61812017702
1288396.672960829418014.534785635778778.81113602305



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '12'
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')