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 computationWed, 14 Dec 2016 17:37:21 +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/14/t1481733478l2fgsnqu4wijk2l.htm/, Retrieved Fri, 03 May 2024 15:54:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299612, Retrieved Fri, 03 May 2024 15:54:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponential smoot...] [2016-12-14 16:37:21] [4d72a1efe36cb2a85639504d1000816e] [Current]
Feedback Forum

Post a new message
Dataseries X:
4435
4610
4955
5195
5290
5150
5375
5250
5020
5320
5305
5550
5175
5060
4910
4945
4840
4445
4145
4200
4605
4780
4840
5155
4520
4610
4755
4890
4830
4780
4550
4455
4340
4265
3900
3925
3855
3945
4095
4160
3985
3925
3935
3505
3435
3795
3685
3555
3895
3760
4020
4010
4200
3990
4320
4375
4270
4265
4245
3975
3990
4340
4625
4830
4745
4715
4470
4400
4535
4175
4245
4425
4215
4120
4515
4605
4610
4620
4495
4190
4205
4220
3870
4350
3950
3830
4505
4405
4540
4525
4575
4470
4425
4230
4110
4655
4275
4350
4455
4420
4500
4435
4720
4830
4810
4745
4870
4970
4550
4540
4840
4710
4520
4490
4630
4725
4770
4900
4795
4805
4635
4635
4775
4725
4650
4550




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299612&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299612&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299612&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.832162065955278
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.832162065955278 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299612&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]0.832162065955278[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299612&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299612&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
alpha0.832162065955278
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
246104435175
349554580.62836154217374.371638457827
451954892.1662376363302.833762363699
552905144.17300696589145.826993034114
651505265.5246987612-115.5246987612
753755169.38942677122205.610573228782
852505340.49074617153-90.4907461715302
950205265.18777988759-245.187779887595
1053205061.15181042935258.848189570654
1153055276.5554546312528.4445453687549
1255505300.22592627047249.774073729533
1351755508.0784354873-333.078435487301
1450605230.90319648704-170.903196487036
1549105088.68403942002-178.684039420024
1649454939.989960023025.01003997697717
1748404944.15912524078-104.159125240782
1844454857.48185239232-412.481852392319
1941454514.23010193647-369.230101936467
2042004206.97081749614-6.97081749613881
2146054201.16996760715403.830032392845
2247804537.22200165797242.777998342029
2348404739.25264232676100.747357673239
2451554823.09077162766331.909228372341
2545205099.29304081961-579.293040819608
2646104617.22734717765-7.22734717764797
2747554611.21302301892143.78697698108
2848904730.86709084096159.132909159041
2948304863.29146128822-33.2914612882205
3047804835.58757008395-55.5875700839451
3145504789.32970292146-239.329702921455
3244554590.16860289387-135.168602893874
3343404477.68641905742-137.68641905742
3442654363.10900412061-98.1090041206135
3539004281.46641256279-381.466412562789
3639253964.02453459199-39.0245345919902
3738553931.54979726298-76.5497972629764
3839453867.8479598241677.1520401758394
3940953932.05096096955162.949039030448
4041604067.6509699345692.3490300654435
4139854144.50032958278-159.500329582782
4239254011.77020579663-86.7702057966262
4339353939.56333207754-4.56333207754096
4435053935.76590022825-430.765900228254
4534353577.29885875123-142.298858751225
4637953458.88314646973336.116853530273
4736853738.58684170587-53.5868417058664
4835553693.99390480389-138.993904803894
4938953578.32844982709316.671550172905
5037603841.85050124824-81.8505012482401
5140203773.73761903003246.26238096997
5240103978.6678307450731.3321692549343
5342004004.74127344311195.258726556888
5439904167.22817873049-177.228178730489
5543204019.74561137263300.254388627366
5643754269.60592372492105.394076275078
5742704357.31087597744-87.3108759774386
5842654284.65407704369-19.6540770436877
5942454268.29869968657-23.2986996865684
6039754248.91040562132-273.910405621322
6139904020.97255659283-30.9725565928347
6243403995.19836991062344.801630089375
6346254282.12920675055342.870793249454
6448304567.45327441674262.546725583264
6547454785.9346999879-40.9346999878981
6647154751.87039547671-36.8703954767088
6744704721.18825100422-251.188251004223
6844004512.15891710486-112.158917104856
6945354418.82452093157116.175479068428
7041754515.5013476065-340.501347606499
7142454232.1490427217212.8509572782814
7244254242.84312187992182.156878120084
7342154394.42716590429-179.427165904289
7441204245.11468483688-125.114684836875
7545154140.99899022168374.001009778322
7646054452.22844318817152.771556811834
7746104579.3591375239130.6408624760943
7846204604.8573009446615.1426990553364
7944954617.45848067469-122.458480674692
8041904515.5531784027-325.553178402695
8142054244.6401728848-39.6401728848014
8242204211.653124722168.34687527783899
8338704218.59907769764-348.599077697639
8443503928.50814901067421.491850989333
8539504279.25767851326-329.257678513264
8638304005.26192853003-175.261928530028
8745053859.41560000117645.584399998826
8844054396.64644805278.35355194730437
8945404403.59795709923136.402042900771
9045254517.106562920057.89343707994522
9145754523.6751818279951.3248181720101
9244704566.38574855279-96.3857485527888
9344254486.17718490845-61.1771849084544
9442304435.26785232571-205.267852325706
9541104264.45173226014-154.451732260144
9646554135.92285965217519.077140347828
9742754567.87916515418-292.879165154178
9843504324.1562340042225.8437659957799
9944554345.66243570733109.337564292667
10044204436.64900909564-16.6490090956368
10145004422.794335290577.2056647094969
10244354487.04196073861-52.0419607386084
10347204443.734615174276.265384825995
10448304673.63218856273156.367811437265
10548104803.755549577276.24445042272509
10647454808.9519443418-63.9519443418048
10748704755.73356221647114.266437783528
10849704850.82175715176119.178242848237
10945504949.99736993727-399.997369937272
11045404617.13473219359-77.1347321935946
11148404552.94613409447287.053865905534
11247104791.82147218686-81.8214721868644
11345204723.73274685234-203.732746852341
11444904554.19408332895-64.1940833289527
11546304500.77420232383129.225797676174
11647254608.31100909275116.688990907251
11747704705.4151608403664.5848391596364
11849004759.16021402484140.839785975164
11947954876.36174129063-81.3617412906278
12048054808.6555865685-3.65558656850044
12146354805.61354609738-170.613546097378
12246354663.63542509703-28.635425097028
12347754639.80611058878135.193889411223
12447254752.30933690575-27.3093369057497
12546504729.58354268639-79.5835426863923
12645504663.35713738844-113.357137388444

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 4610 & 4435 & 175 \tabularnewline
3 & 4955 & 4580.62836154217 & 374.371638457827 \tabularnewline
4 & 5195 & 4892.1662376363 & 302.833762363699 \tabularnewline
5 & 5290 & 5144.17300696589 & 145.826993034114 \tabularnewline
6 & 5150 & 5265.5246987612 & -115.5246987612 \tabularnewline
7 & 5375 & 5169.38942677122 & 205.610573228782 \tabularnewline
8 & 5250 & 5340.49074617153 & -90.4907461715302 \tabularnewline
9 & 5020 & 5265.18777988759 & -245.187779887595 \tabularnewline
10 & 5320 & 5061.15181042935 & 258.848189570654 \tabularnewline
11 & 5305 & 5276.55545463125 & 28.4445453687549 \tabularnewline
12 & 5550 & 5300.22592627047 & 249.774073729533 \tabularnewline
13 & 5175 & 5508.0784354873 & -333.078435487301 \tabularnewline
14 & 5060 & 5230.90319648704 & -170.903196487036 \tabularnewline
15 & 4910 & 5088.68403942002 & -178.684039420024 \tabularnewline
16 & 4945 & 4939.98996002302 & 5.01003997697717 \tabularnewline
17 & 4840 & 4944.15912524078 & -104.159125240782 \tabularnewline
18 & 4445 & 4857.48185239232 & -412.481852392319 \tabularnewline
19 & 4145 & 4514.23010193647 & -369.230101936467 \tabularnewline
20 & 4200 & 4206.97081749614 & -6.97081749613881 \tabularnewline
21 & 4605 & 4201.16996760715 & 403.830032392845 \tabularnewline
22 & 4780 & 4537.22200165797 & 242.777998342029 \tabularnewline
23 & 4840 & 4739.25264232676 & 100.747357673239 \tabularnewline
24 & 5155 & 4823.09077162766 & 331.909228372341 \tabularnewline
25 & 4520 & 5099.29304081961 & -579.293040819608 \tabularnewline
26 & 4610 & 4617.22734717765 & -7.22734717764797 \tabularnewline
27 & 4755 & 4611.21302301892 & 143.78697698108 \tabularnewline
28 & 4890 & 4730.86709084096 & 159.132909159041 \tabularnewline
29 & 4830 & 4863.29146128822 & -33.2914612882205 \tabularnewline
30 & 4780 & 4835.58757008395 & -55.5875700839451 \tabularnewline
31 & 4550 & 4789.32970292146 & -239.329702921455 \tabularnewline
32 & 4455 & 4590.16860289387 & -135.168602893874 \tabularnewline
33 & 4340 & 4477.68641905742 & -137.68641905742 \tabularnewline
34 & 4265 & 4363.10900412061 & -98.1090041206135 \tabularnewline
35 & 3900 & 4281.46641256279 & -381.466412562789 \tabularnewline
36 & 3925 & 3964.02453459199 & -39.0245345919902 \tabularnewline
37 & 3855 & 3931.54979726298 & -76.5497972629764 \tabularnewline
38 & 3945 & 3867.84795982416 & 77.1520401758394 \tabularnewline
39 & 4095 & 3932.05096096955 & 162.949039030448 \tabularnewline
40 & 4160 & 4067.65096993456 & 92.3490300654435 \tabularnewline
41 & 3985 & 4144.50032958278 & -159.500329582782 \tabularnewline
42 & 3925 & 4011.77020579663 & -86.7702057966262 \tabularnewline
43 & 3935 & 3939.56333207754 & -4.56333207754096 \tabularnewline
44 & 3505 & 3935.76590022825 & -430.765900228254 \tabularnewline
45 & 3435 & 3577.29885875123 & -142.298858751225 \tabularnewline
46 & 3795 & 3458.88314646973 & 336.116853530273 \tabularnewline
47 & 3685 & 3738.58684170587 & -53.5868417058664 \tabularnewline
48 & 3555 & 3693.99390480389 & -138.993904803894 \tabularnewline
49 & 3895 & 3578.32844982709 & 316.671550172905 \tabularnewline
50 & 3760 & 3841.85050124824 & -81.8505012482401 \tabularnewline
51 & 4020 & 3773.73761903003 & 246.26238096997 \tabularnewline
52 & 4010 & 3978.66783074507 & 31.3321692549343 \tabularnewline
53 & 4200 & 4004.74127344311 & 195.258726556888 \tabularnewline
54 & 3990 & 4167.22817873049 & -177.228178730489 \tabularnewline
55 & 4320 & 4019.74561137263 & 300.254388627366 \tabularnewline
56 & 4375 & 4269.60592372492 & 105.394076275078 \tabularnewline
57 & 4270 & 4357.31087597744 & -87.3108759774386 \tabularnewline
58 & 4265 & 4284.65407704369 & -19.6540770436877 \tabularnewline
59 & 4245 & 4268.29869968657 & -23.2986996865684 \tabularnewline
60 & 3975 & 4248.91040562132 & -273.910405621322 \tabularnewline
61 & 3990 & 4020.97255659283 & -30.9725565928347 \tabularnewline
62 & 4340 & 3995.19836991062 & 344.801630089375 \tabularnewline
63 & 4625 & 4282.12920675055 & 342.870793249454 \tabularnewline
64 & 4830 & 4567.45327441674 & 262.546725583264 \tabularnewline
65 & 4745 & 4785.9346999879 & -40.9346999878981 \tabularnewline
66 & 4715 & 4751.87039547671 & -36.8703954767088 \tabularnewline
67 & 4470 & 4721.18825100422 & -251.188251004223 \tabularnewline
68 & 4400 & 4512.15891710486 & -112.158917104856 \tabularnewline
69 & 4535 & 4418.82452093157 & 116.175479068428 \tabularnewline
70 & 4175 & 4515.5013476065 & -340.501347606499 \tabularnewline
71 & 4245 & 4232.14904272172 & 12.8509572782814 \tabularnewline
72 & 4425 & 4242.84312187992 & 182.156878120084 \tabularnewline
73 & 4215 & 4394.42716590429 & -179.427165904289 \tabularnewline
74 & 4120 & 4245.11468483688 & -125.114684836875 \tabularnewline
75 & 4515 & 4140.99899022168 & 374.001009778322 \tabularnewline
76 & 4605 & 4452.22844318817 & 152.771556811834 \tabularnewline
77 & 4610 & 4579.35913752391 & 30.6408624760943 \tabularnewline
78 & 4620 & 4604.85730094466 & 15.1426990553364 \tabularnewline
79 & 4495 & 4617.45848067469 & -122.458480674692 \tabularnewline
80 & 4190 & 4515.5531784027 & -325.553178402695 \tabularnewline
81 & 4205 & 4244.6401728848 & -39.6401728848014 \tabularnewline
82 & 4220 & 4211.65312472216 & 8.34687527783899 \tabularnewline
83 & 3870 & 4218.59907769764 & -348.599077697639 \tabularnewline
84 & 4350 & 3928.50814901067 & 421.491850989333 \tabularnewline
85 & 3950 & 4279.25767851326 & -329.257678513264 \tabularnewline
86 & 3830 & 4005.26192853003 & -175.261928530028 \tabularnewline
87 & 4505 & 3859.41560000117 & 645.584399998826 \tabularnewline
88 & 4405 & 4396.6464480527 & 8.35355194730437 \tabularnewline
89 & 4540 & 4403.59795709923 & 136.402042900771 \tabularnewline
90 & 4525 & 4517.10656292005 & 7.89343707994522 \tabularnewline
91 & 4575 & 4523.67518182799 & 51.3248181720101 \tabularnewline
92 & 4470 & 4566.38574855279 & -96.3857485527888 \tabularnewline
93 & 4425 & 4486.17718490845 & -61.1771849084544 \tabularnewline
94 & 4230 & 4435.26785232571 & -205.267852325706 \tabularnewline
95 & 4110 & 4264.45173226014 & -154.451732260144 \tabularnewline
96 & 4655 & 4135.92285965217 & 519.077140347828 \tabularnewline
97 & 4275 & 4567.87916515418 & -292.879165154178 \tabularnewline
98 & 4350 & 4324.15623400422 & 25.8437659957799 \tabularnewline
99 & 4455 & 4345.66243570733 & 109.337564292667 \tabularnewline
100 & 4420 & 4436.64900909564 & -16.6490090956368 \tabularnewline
101 & 4500 & 4422.7943352905 & 77.2056647094969 \tabularnewline
102 & 4435 & 4487.04196073861 & -52.0419607386084 \tabularnewline
103 & 4720 & 4443.734615174 & 276.265384825995 \tabularnewline
104 & 4830 & 4673.63218856273 & 156.367811437265 \tabularnewline
105 & 4810 & 4803.75554957727 & 6.24445042272509 \tabularnewline
106 & 4745 & 4808.9519443418 & -63.9519443418048 \tabularnewline
107 & 4870 & 4755.73356221647 & 114.266437783528 \tabularnewline
108 & 4970 & 4850.82175715176 & 119.178242848237 \tabularnewline
109 & 4550 & 4949.99736993727 & -399.997369937272 \tabularnewline
110 & 4540 & 4617.13473219359 & -77.1347321935946 \tabularnewline
111 & 4840 & 4552.94613409447 & 287.053865905534 \tabularnewline
112 & 4710 & 4791.82147218686 & -81.8214721868644 \tabularnewline
113 & 4520 & 4723.73274685234 & -203.732746852341 \tabularnewline
114 & 4490 & 4554.19408332895 & -64.1940833289527 \tabularnewline
115 & 4630 & 4500.77420232383 & 129.225797676174 \tabularnewline
116 & 4725 & 4608.31100909275 & 116.688990907251 \tabularnewline
117 & 4770 & 4705.41516084036 & 64.5848391596364 \tabularnewline
118 & 4900 & 4759.16021402484 & 140.839785975164 \tabularnewline
119 & 4795 & 4876.36174129063 & -81.3617412906278 \tabularnewline
120 & 4805 & 4808.6555865685 & -3.65558656850044 \tabularnewline
121 & 4635 & 4805.61354609738 & -170.613546097378 \tabularnewline
122 & 4635 & 4663.63542509703 & -28.635425097028 \tabularnewline
123 & 4775 & 4639.80611058878 & 135.193889411223 \tabularnewline
124 & 4725 & 4752.30933690575 & -27.3093369057497 \tabularnewline
125 & 4650 & 4729.58354268639 & -79.5835426863923 \tabularnewline
126 & 4550 & 4663.35713738844 & -113.357137388444 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299612&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]2[/C][C]4610[/C][C]4435[/C][C]175[/C][/ROW]
[ROW][C]3[/C][C]4955[/C][C]4580.62836154217[/C][C]374.371638457827[/C][/ROW]
[ROW][C]4[/C][C]5195[/C][C]4892.1662376363[/C][C]302.833762363699[/C][/ROW]
[ROW][C]5[/C][C]5290[/C][C]5144.17300696589[/C][C]145.826993034114[/C][/ROW]
[ROW][C]6[/C][C]5150[/C][C]5265.5246987612[/C][C]-115.5246987612[/C][/ROW]
[ROW][C]7[/C][C]5375[/C][C]5169.38942677122[/C][C]205.610573228782[/C][/ROW]
[ROW][C]8[/C][C]5250[/C][C]5340.49074617153[/C][C]-90.4907461715302[/C][/ROW]
[ROW][C]9[/C][C]5020[/C][C]5265.18777988759[/C][C]-245.187779887595[/C][/ROW]
[ROW][C]10[/C][C]5320[/C][C]5061.15181042935[/C][C]258.848189570654[/C][/ROW]
[ROW][C]11[/C][C]5305[/C][C]5276.55545463125[/C][C]28.4445453687549[/C][/ROW]
[ROW][C]12[/C][C]5550[/C][C]5300.22592627047[/C][C]249.774073729533[/C][/ROW]
[ROW][C]13[/C][C]5175[/C][C]5508.0784354873[/C][C]-333.078435487301[/C][/ROW]
[ROW][C]14[/C][C]5060[/C][C]5230.90319648704[/C][C]-170.903196487036[/C][/ROW]
[ROW][C]15[/C][C]4910[/C][C]5088.68403942002[/C][C]-178.684039420024[/C][/ROW]
[ROW][C]16[/C][C]4945[/C][C]4939.98996002302[/C][C]5.01003997697717[/C][/ROW]
[ROW][C]17[/C][C]4840[/C][C]4944.15912524078[/C][C]-104.159125240782[/C][/ROW]
[ROW][C]18[/C][C]4445[/C][C]4857.48185239232[/C][C]-412.481852392319[/C][/ROW]
[ROW][C]19[/C][C]4145[/C][C]4514.23010193647[/C][C]-369.230101936467[/C][/ROW]
[ROW][C]20[/C][C]4200[/C][C]4206.97081749614[/C][C]-6.97081749613881[/C][/ROW]
[ROW][C]21[/C][C]4605[/C][C]4201.16996760715[/C][C]403.830032392845[/C][/ROW]
[ROW][C]22[/C][C]4780[/C][C]4537.22200165797[/C][C]242.777998342029[/C][/ROW]
[ROW][C]23[/C][C]4840[/C][C]4739.25264232676[/C][C]100.747357673239[/C][/ROW]
[ROW][C]24[/C][C]5155[/C][C]4823.09077162766[/C][C]331.909228372341[/C][/ROW]
[ROW][C]25[/C][C]4520[/C][C]5099.29304081961[/C][C]-579.293040819608[/C][/ROW]
[ROW][C]26[/C][C]4610[/C][C]4617.22734717765[/C][C]-7.22734717764797[/C][/ROW]
[ROW][C]27[/C][C]4755[/C][C]4611.21302301892[/C][C]143.78697698108[/C][/ROW]
[ROW][C]28[/C][C]4890[/C][C]4730.86709084096[/C][C]159.132909159041[/C][/ROW]
[ROW][C]29[/C][C]4830[/C][C]4863.29146128822[/C][C]-33.2914612882205[/C][/ROW]
[ROW][C]30[/C][C]4780[/C][C]4835.58757008395[/C][C]-55.5875700839451[/C][/ROW]
[ROW][C]31[/C][C]4550[/C][C]4789.32970292146[/C][C]-239.329702921455[/C][/ROW]
[ROW][C]32[/C][C]4455[/C][C]4590.16860289387[/C][C]-135.168602893874[/C][/ROW]
[ROW][C]33[/C][C]4340[/C][C]4477.68641905742[/C][C]-137.68641905742[/C][/ROW]
[ROW][C]34[/C][C]4265[/C][C]4363.10900412061[/C][C]-98.1090041206135[/C][/ROW]
[ROW][C]35[/C][C]3900[/C][C]4281.46641256279[/C][C]-381.466412562789[/C][/ROW]
[ROW][C]36[/C][C]3925[/C][C]3964.02453459199[/C][C]-39.0245345919902[/C][/ROW]
[ROW][C]37[/C][C]3855[/C][C]3931.54979726298[/C][C]-76.5497972629764[/C][/ROW]
[ROW][C]38[/C][C]3945[/C][C]3867.84795982416[/C][C]77.1520401758394[/C][/ROW]
[ROW][C]39[/C][C]4095[/C][C]3932.05096096955[/C][C]162.949039030448[/C][/ROW]
[ROW][C]40[/C][C]4160[/C][C]4067.65096993456[/C][C]92.3490300654435[/C][/ROW]
[ROW][C]41[/C][C]3985[/C][C]4144.50032958278[/C][C]-159.500329582782[/C][/ROW]
[ROW][C]42[/C][C]3925[/C][C]4011.77020579663[/C][C]-86.7702057966262[/C][/ROW]
[ROW][C]43[/C][C]3935[/C][C]3939.56333207754[/C][C]-4.56333207754096[/C][/ROW]
[ROW][C]44[/C][C]3505[/C][C]3935.76590022825[/C][C]-430.765900228254[/C][/ROW]
[ROW][C]45[/C][C]3435[/C][C]3577.29885875123[/C][C]-142.298858751225[/C][/ROW]
[ROW][C]46[/C][C]3795[/C][C]3458.88314646973[/C][C]336.116853530273[/C][/ROW]
[ROW][C]47[/C][C]3685[/C][C]3738.58684170587[/C][C]-53.5868417058664[/C][/ROW]
[ROW][C]48[/C][C]3555[/C][C]3693.99390480389[/C][C]-138.993904803894[/C][/ROW]
[ROW][C]49[/C][C]3895[/C][C]3578.32844982709[/C][C]316.671550172905[/C][/ROW]
[ROW][C]50[/C][C]3760[/C][C]3841.85050124824[/C][C]-81.8505012482401[/C][/ROW]
[ROW][C]51[/C][C]4020[/C][C]3773.73761903003[/C][C]246.26238096997[/C][/ROW]
[ROW][C]52[/C][C]4010[/C][C]3978.66783074507[/C][C]31.3321692549343[/C][/ROW]
[ROW][C]53[/C][C]4200[/C][C]4004.74127344311[/C][C]195.258726556888[/C][/ROW]
[ROW][C]54[/C][C]3990[/C][C]4167.22817873049[/C][C]-177.228178730489[/C][/ROW]
[ROW][C]55[/C][C]4320[/C][C]4019.74561137263[/C][C]300.254388627366[/C][/ROW]
[ROW][C]56[/C][C]4375[/C][C]4269.60592372492[/C][C]105.394076275078[/C][/ROW]
[ROW][C]57[/C][C]4270[/C][C]4357.31087597744[/C][C]-87.3108759774386[/C][/ROW]
[ROW][C]58[/C][C]4265[/C][C]4284.65407704369[/C][C]-19.6540770436877[/C][/ROW]
[ROW][C]59[/C][C]4245[/C][C]4268.29869968657[/C][C]-23.2986996865684[/C][/ROW]
[ROW][C]60[/C][C]3975[/C][C]4248.91040562132[/C][C]-273.910405621322[/C][/ROW]
[ROW][C]61[/C][C]3990[/C][C]4020.97255659283[/C][C]-30.9725565928347[/C][/ROW]
[ROW][C]62[/C][C]4340[/C][C]3995.19836991062[/C][C]344.801630089375[/C][/ROW]
[ROW][C]63[/C][C]4625[/C][C]4282.12920675055[/C][C]342.870793249454[/C][/ROW]
[ROW][C]64[/C][C]4830[/C][C]4567.45327441674[/C][C]262.546725583264[/C][/ROW]
[ROW][C]65[/C][C]4745[/C][C]4785.9346999879[/C][C]-40.9346999878981[/C][/ROW]
[ROW][C]66[/C][C]4715[/C][C]4751.87039547671[/C][C]-36.8703954767088[/C][/ROW]
[ROW][C]67[/C][C]4470[/C][C]4721.18825100422[/C][C]-251.188251004223[/C][/ROW]
[ROW][C]68[/C][C]4400[/C][C]4512.15891710486[/C][C]-112.158917104856[/C][/ROW]
[ROW][C]69[/C][C]4535[/C][C]4418.82452093157[/C][C]116.175479068428[/C][/ROW]
[ROW][C]70[/C][C]4175[/C][C]4515.5013476065[/C][C]-340.501347606499[/C][/ROW]
[ROW][C]71[/C][C]4245[/C][C]4232.14904272172[/C][C]12.8509572782814[/C][/ROW]
[ROW][C]72[/C][C]4425[/C][C]4242.84312187992[/C][C]182.156878120084[/C][/ROW]
[ROW][C]73[/C][C]4215[/C][C]4394.42716590429[/C][C]-179.427165904289[/C][/ROW]
[ROW][C]74[/C][C]4120[/C][C]4245.11468483688[/C][C]-125.114684836875[/C][/ROW]
[ROW][C]75[/C][C]4515[/C][C]4140.99899022168[/C][C]374.001009778322[/C][/ROW]
[ROW][C]76[/C][C]4605[/C][C]4452.22844318817[/C][C]152.771556811834[/C][/ROW]
[ROW][C]77[/C][C]4610[/C][C]4579.35913752391[/C][C]30.6408624760943[/C][/ROW]
[ROW][C]78[/C][C]4620[/C][C]4604.85730094466[/C][C]15.1426990553364[/C][/ROW]
[ROW][C]79[/C][C]4495[/C][C]4617.45848067469[/C][C]-122.458480674692[/C][/ROW]
[ROW][C]80[/C][C]4190[/C][C]4515.5531784027[/C][C]-325.553178402695[/C][/ROW]
[ROW][C]81[/C][C]4205[/C][C]4244.6401728848[/C][C]-39.6401728848014[/C][/ROW]
[ROW][C]82[/C][C]4220[/C][C]4211.65312472216[/C][C]8.34687527783899[/C][/ROW]
[ROW][C]83[/C][C]3870[/C][C]4218.59907769764[/C][C]-348.599077697639[/C][/ROW]
[ROW][C]84[/C][C]4350[/C][C]3928.50814901067[/C][C]421.491850989333[/C][/ROW]
[ROW][C]85[/C][C]3950[/C][C]4279.25767851326[/C][C]-329.257678513264[/C][/ROW]
[ROW][C]86[/C][C]3830[/C][C]4005.26192853003[/C][C]-175.261928530028[/C][/ROW]
[ROW][C]87[/C][C]4505[/C][C]3859.41560000117[/C][C]645.584399998826[/C][/ROW]
[ROW][C]88[/C][C]4405[/C][C]4396.6464480527[/C][C]8.35355194730437[/C][/ROW]
[ROW][C]89[/C][C]4540[/C][C]4403.59795709923[/C][C]136.402042900771[/C][/ROW]
[ROW][C]90[/C][C]4525[/C][C]4517.10656292005[/C][C]7.89343707994522[/C][/ROW]
[ROW][C]91[/C][C]4575[/C][C]4523.67518182799[/C][C]51.3248181720101[/C][/ROW]
[ROW][C]92[/C][C]4470[/C][C]4566.38574855279[/C][C]-96.3857485527888[/C][/ROW]
[ROW][C]93[/C][C]4425[/C][C]4486.17718490845[/C][C]-61.1771849084544[/C][/ROW]
[ROW][C]94[/C][C]4230[/C][C]4435.26785232571[/C][C]-205.267852325706[/C][/ROW]
[ROW][C]95[/C][C]4110[/C][C]4264.45173226014[/C][C]-154.451732260144[/C][/ROW]
[ROW][C]96[/C][C]4655[/C][C]4135.92285965217[/C][C]519.077140347828[/C][/ROW]
[ROW][C]97[/C][C]4275[/C][C]4567.87916515418[/C][C]-292.879165154178[/C][/ROW]
[ROW][C]98[/C][C]4350[/C][C]4324.15623400422[/C][C]25.8437659957799[/C][/ROW]
[ROW][C]99[/C][C]4455[/C][C]4345.66243570733[/C][C]109.337564292667[/C][/ROW]
[ROW][C]100[/C][C]4420[/C][C]4436.64900909564[/C][C]-16.6490090956368[/C][/ROW]
[ROW][C]101[/C][C]4500[/C][C]4422.7943352905[/C][C]77.2056647094969[/C][/ROW]
[ROW][C]102[/C][C]4435[/C][C]4487.04196073861[/C][C]-52.0419607386084[/C][/ROW]
[ROW][C]103[/C][C]4720[/C][C]4443.734615174[/C][C]276.265384825995[/C][/ROW]
[ROW][C]104[/C][C]4830[/C][C]4673.63218856273[/C][C]156.367811437265[/C][/ROW]
[ROW][C]105[/C][C]4810[/C][C]4803.75554957727[/C][C]6.24445042272509[/C][/ROW]
[ROW][C]106[/C][C]4745[/C][C]4808.9519443418[/C][C]-63.9519443418048[/C][/ROW]
[ROW][C]107[/C][C]4870[/C][C]4755.73356221647[/C][C]114.266437783528[/C][/ROW]
[ROW][C]108[/C][C]4970[/C][C]4850.82175715176[/C][C]119.178242848237[/C][/ROW]
[ROW][C]109[/C][C]4550[/C][C]4949.99736993727[/C][C]-399.997369937272[/C][/ROW]
[ROW][C]110[/C][C]4540[/C][C]4617.13473219359[/C][C]-77.1347321935946[/C][/ROW]
[ROW][C]111[/C][C]4840[/C][C]4552.94613409447[/C][C]287.053865905534[/C][/ROW]
[ROW][C]112[/C][C]4710[/C][C]4791.82147218686[/C][C]-81.8214721868644[/C][/ROW]
[ROW][C]113[/C][C]4520[/C][C]4723.73274685234[/C][C]-203.732746852341[/C][/ROW]
[ROW][C]114[/C][C]4490[/C][C]4554.19408332895[/C][C]-64.1940833289527[/C][/ROW]
[ROW][C]115[/C][C]4630[/C][C]4500.77420232383[/C][C]129.225797676174[/C][/ROW]
[ROW][C]116[/C][C]4725[/C][C]4608.31100909275[/C][C]116.688990907251[/C][/ROW]
[ROW][C]117[/C][C]4770[/C][C]4705.41516084036[/C][C]64.5848391596364[/C][/ROW]
[ROW][C]118[/C][C]4900[/C][C]4759.16021402484[/C][C]140.839785975164[/C][/ROW]
[ROW][C]119[/C][C]4795[/C][C]4876.36174129063[/C][C]-81.3617412906278[/C][/ROW]
[ROW][C]120[/C][C]4805[/C][C]4808.6555865685[/C][C]-3.65558656850044[/C][/ROW]
[ROW][C]121[/C][C]4635[/C][C]4805.61354609738[/C][C]-170.613546097378[/C][/ROW]
[ROW][C]122[/C][C]4635[/C][C]4663.63542509703[/C][C]-28.635425097028[/C][/ROW]
[ROW][C]123[/C][C]4775[/C][C]4639.80611058878[/C][C]135.193889411223[/C][/ROW]
[ROW][C]124[/C][C]4725[/C][C]4752.30933690575[/C][C]-27.3093369057497[/C][/ROW]
[ROW][C]125[/C][C]4650[/C][C]4729.58354268639[/C][C]-79.5835426863923[/C][/ROW]
[ROW][C]126[/C][C]4550[/C][C]4663.35713738844[/C][C]-113.357137388444[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299612&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299612&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
246104435175
349554580.62836154217374.371638457827
451954892.1662376363302.833762363699
552905144.17300696589145.826993034114
651505265.5246987612-115.5246987612
753755169.38942677122205.610573228782
852505340.49074617153-90.4907461715302
950205265.18777988759-245.187779887595
1053205061.15181042935258.848189570654
1153055276.5554546312528.4445453687549
1255505300.22592627047249.774073729533
1351755508.0784354873-333.078435487301
1450605230.90319648704-170.903196487036
1549105088.68403942002-178.684039420024
1649454939.989960023025.01003997697717
1748404944.15912524078-104.159125240782
1844454857.48185239232-412.481852392319
1941454514.23010193647-369.230101936467
2042004206.97081749614-6.97081749613881
2146054201.16996760715403.830032392845
2247804537.22200165797242.777998342029
2348404739.25264232676100.747357673239
2451554823.09077162766331.909228372341
2545205099.29304081961-579.293040819608
2646104617.22734717765-7.22734717764797
2747554611.21302301892143.78697698108
2848904730.86709084096159.132909159041
2948304863.29146128822-33.2914612882205
3047804835.58757008395-55.5875700839451
3145504789.32970292146-239.329702921455
3244554590.16860289387-135.168602893874
3343404477.68641905742-137.68641905742
3442654363.10900412061-98.1090041206135
3539004281.46641256279-381.466412562789
3639253964.02453459199-39.0245345919902
3738553931.54979726298-76.5497972629764
3839453867.8479598241677.1520401758394
3940953932.05096096955162.949039030448
4041604067.6509699345692.3490300654435
4139854144.50032958278-159.500329582782
4239254011.77020579663-86.7702057966262
4339353939.56333207754-4.56333207754096
4435053935.76590022825-430.765900228254
4534353577.29885875123-142.298858751225
4637953458.88314646973336.116853530273
4736853738.58684170587-53.5868417058664
4835553693.99390480389-138.993904803894
4938953578.32844982709316.671550172905
5037603841.85050124824-81.8505012482401
5140203773.73761903003246.26238096997
5240103978.6678307450731.3321692549343
5342004004.74127344311195.258726556888
5439904167.22817873049-177.228178730489
5543204019.74561137263300.254388627366
5643754269.60592372492105.394076275078
5742704357.31087597744-87.3108759774386
5842654284.65407704369-19.6540770436877
5942454268.29869968657-23.2986996865684
6039754248.91040562132-273.910405621322
6139904020.97255659283-30.9725565928347
6243403995.19836991062344.801630089375
6346254282.12920675055342.870793249454
6448304567.45327441674262.546725583264
6547454785.9346999879-40.9346999878981
6647154751.87039547671-36.8703954767088
6744704721.18825100422-251.188251004223
6844004512.15891710486-112.158917104856
6945354418.82452093157116.175479068428
7041754515.5013476065-340.501347606499
7142454232.1490427217212.8509572782814
7244254242.84312187992182.156878120084
7342154394.42716590429-179.427165904289
7441204245.11468483688-125.114684836875
7545154140.99899022168374.001009778322
7646054452.22844318817152.771556811834
7746104579.3591375239130.6408624760943
7846204604.8573009446615.1426990553364
7944954617.45848067469-122.458480674692
8041904515.5531784027-325.553178402695
8142054244.6401728848-39.6401728848014
8242204211.653124722168.34687527783899
8338704218.59907769764-348.599077697639
8443503928.50814901067421.491850989333
8539504279.25767851326-329.257678513264
8638304005.26192853003-175.261928530028
8745053859.41560000117645.584399998826
8844054396.64644805278.35355194730437
8945404403.59795709923136.402042900771
9045254517.106562920057.89343707994522
9145754523.6751818279951.3248181720101
9244704566.38574855279-96.3857485527888
9344254486.17718490845-61.1771849084544
9442304435.26785232571-205.267852325706
9541104264.45173226014-154.451732260144
9646554135.92285965217519.077140347828
9742754567.87916515418-292.879165154178
9843504324.1562340042225.8437659957799
9944554345.66243570733109.337564292667
10044204436.64900909564-16.6490090956368
10145004422.794335290577.2056647094969
10244354487.04196073861-52.0419607386084
10347204443.734615174276.265384825995
10448304673.63218856273156.367811437265
10548104803.755549577276.24445042272509
10647454808.9519443418-63.9519443418048
10748704755.73356221647114.266437783528
10849704850.82175715176119.178242848237
10945504949.99736993727-399.997369937272
11045404617.13473219359-77.1347321935946
11148404552.94613409447287.053865905534
11247104791.82147218686-81.8214721868644
11345204723.73274685234-203.732746852341
11444904554.19408332895-64.1940833289527
11546304500.77420232383129.225797676174
11647254608.31100909275116.688990907251
11747704705.4151608403664.5848391596364
11849004759.16021402484140.839785975164
11947954876.36174129063-81.3617412906278
12048054808.6555865685-3.65558656850044
12146354805.61354609738-170.613546097378
12246354663.63542509703-28.635425097028
12347754639.80611058878135.193889411223
12447254752.30933690575-27.3093369057497
12546504729.58354268639-79.5835426863923
12645504663.35713738844-113.357137388444







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1274569.02562774854151.499918737654986.55133675935
1284569.02562774854025.841897674435112.20935782257
1294569.02562774853924.223788770545213.82746672646
1304569.02562774853836.570674538735301.48058095827
1314569.02562774853758.340050342755379.71120515425
1324569.02562774853687.021119627455451.03013586956
1334569.02562774853621.052632733335516.99862276367
1344569.02562774853559.385272864545578.66598263246
1354569.02562774853501.273552994085636.77770250292
1364569.02562774853446.165289115715691.88596638129
1374569.02562774853393.637952550785744.41330294622
1384569.02562774853343.359672465875794.69158303113

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 4569.0256277485 & 4151.49991873765 & 4986.55133675935 \tabularnewline
128 & 4569.0256277485 & 4025.84189767443 & 5112.20935782257 \tabularnewline
129 & 4569.0256277485 & 3924.22378877054 & 5213.82746672646 \tabularnewline
130 & 4569.0256277485 & 3836.57067453873 & 5301.48058095827 \tabularnewline
131 & 4569.0256277485 & 3758.34005034275 & 5379.71120515425 \tabularnewline
132 & 4569.0256277485 & 3687.02111962745 & 5451.03013586956 \tabularnewline
133 & 4569.0256277485 & 3621.05263273333 & 5516.99862276367 \tabularnewline
134 & 4569.0256277485 & 3559.38527286454 & 5578.66598263246 \tabularnewline
135 & 4569.0256277485 & 3501.27355299408 & 5636.77770250292 \tabularnewline
136 & 4569.0256277485 & 3446.16528911571 & 5691.88596638129 \tabularnewline
137 & 4569.0256277485 & 3393.63795255078 & 5744.41330294622 \tabularnewline
138 & 4569.0256277485 & 3343.35967246587 & 5794.69158303113 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299612&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]127[/C][C]4569.0256277485[/C][C]4151.49991873765[/C][C]4986.55133675935[/C][/ROW]
[ROW][C]128[/C][C]4569.0256277485[/C][C]4025.84189767443[/C][C]5112.20935782257[/C][/ROW]
[ROW][C]129[/C][C]4569.0256277485[/C][C]3924.22378877054[/C][C]5213.82746672646[/C][/ROW]
[ROW][C]130[/C][C]4569.0256277485[/C][C]3836.57067453873[/C][C]5301.48058095827[/C][/ROW]
[ROW][C]131[/C][C]4569.0256277485[/C][C]3758.34005034275[/C][C]5379.71120515425[/C][/ROW]
[ROW][C]132[/C][C]4569.0256277485[/C][C]3687.02111962745[/C][C]5451.03013586956[/C][/ROW]
[ROW][C]133[/C][C]4569.0256277485[/C][C]3621.05263273333[/C][C]5516.99862276367[/C][/ROW]
[ROW][C]134[/C][C]4569.0256277485[/C][C]3559.38527286454[/C][C]5578.66598263246[/C][/ROW]
[ROW][C]135[/C][C]4569.0256277485[/C][C]3501.27355299408[/C][C]5636.77770250292[/C][/ROW]
[ROW][C]136[/C][C]4569.0256277485[/C][C]3446.16528911571[/C][C]5691.88596638129[/C][/ROW]
[ROW][C]137[/C][C]4569.0256277485[/C][C]3393.63795255078[/C][C]5744.41330294622[/C][/ROW]
[ROW][C]138[/C][C]4569.0256277485[/C][C]3343.35967246587[/C][C]5794.69158303113[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299612&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299612&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
1274569.02562774854151.499918737654986.55133675935
1284569.02562774854025.841897674435112.20935782257
1294569.02562774853924.223788770545213.82746672646
1304569.02562774853836.570674538735301.48058095827
1314569.02562774853758.340050342755379.71120515425
1324569.02562774853687.021119627455451.03013586956
1334569.02562774853621.052632733335516.99862276367
1344569.02562774853559.385272864545578.66598263246
1354569.02562774853501.273552994085636.77770250292
1364569.02562774853446.165289115715691.88596638129
1374569.02562774853393.637952550785744.41330294622
1384569.02562774853343.359672465875794.69158303113



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = Single ; 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')