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, 21 Dec 2016 14:36:48 +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/21/t1482327479j9vdldrvqx4hkd5.htm/, Retrieved Mon, 06 May 2024 13:04:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302279, Retrieved Mon, 06 May 2024 13:04:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsN1910
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ML Fitting and QQ Plot- Normal Distribution] [Normal distribution] [2016-12-15 09:27:42] [061bcad4f8cbfaa4a6cadfe6faec1e5a]
- RMPD  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chisquared simula...] [2016-12-15 10:38:18] [061bcad4f8cbfaa4a6cadfe6faec1e5a]
- RMPD      [Exponential Smoothing] [Exponential smoot...] [2016-12-21 13:36:48] [9a9519454d094169f95f881e5b6f16f7] [Current]
Feedback Forum

Post a new message
Dataseries X:
4738.4
4687.2
5930.8
5532
5429.8
6107.4
5960.8
5541.8
5362.2
5237
4827
4781.6
4983.2
4718.4
5523.8
5286.6
5389
5810.4
5057.4
5604.4
5285
5215.2
4625.4
4270.4
4685.4
4233.8
5278.4
4978.8
5333.4
5451
5224
5790.2
5079.4
4705.8
4139.6
3720.8
4594
4638.8
4969.4
4764.4
5010.8
5267.8
5312.2
5723.2
4579.6
5015.2
4282.4
3834.2
4523.4
3884.2
3897.8
4845.6
4929
4955.4
5198.4
5122.2
4643.2
4789.8
3950.8
3824.4
4511.8
4262.4
4616.6
5139.6
4972.8
5222
5242
4979.8
4691.8
4821.6
4123.6
4027.4
4365.2
4333.6
4930
5053
5031.4
5342
5191.4
4852.2
4675.6
4689.2
3809.4
4054.2
4409.6
4210.2
4566.4
4907
5021.8
5215.2
4933.6
5197.8
4734.6
4681.8
4172
4037.8
4462.6
4282.6
4962.4
4969.2
5214.6
5416.8
4764.2
5326.2
4545.4
4797.2
4259
4117
4469.2
4203.2
5033.8
4883
5361.6
5044.6
5005.6
5382
4565.4
4825
4290.2
3933.6
4177.6
3949.4
4492.6
4894.2
5224.4
5071




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=302279&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=302279&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302279&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
alpha0.149612993305082
beta0.0478927219987215
gamma0.408830803471322

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.149612993305082 \tabularnewline
beta & 0.0478927219987215 \tabularnewline
gamma & 0.408830803471322 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302279&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]0.149612993305082[/C][/ROW]
[ROW][C]beta[/C][C]0.0478927219987215[/C][/ROW]
[ROW][C]gamma[/C][C]0.408830803471322[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302279&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302279&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
alpha0.149612993305082
beta0.0478927219987215
gamma0.408830803471322







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
134983.25097.53557692308-114.335576923081
144718.44830.73406640468-112.334066404682
155523.85599.20209232399-75.4020923239859
165286.65333.57200394697-46.9720039469721
1753895416.64218757318-27.6421875731803
185810.45841.79796295557-31.3979629555752
195057.45779.33351407591-721.93351407591
205604.45213.61638447543390.783615524565
2152855083.73463923091201.265360769086
225215.24992.86564208814222.334357911861
234625.44606.6836160558818.7163839441237
244270.44556.92180532903-286.521805329033
254685.44702.63061623434-17.2306162343357
264233.84447.56835495294-213.768354952941
275278.45209.4888429478268.9111570521782
284978.84972.156496705466.64350329454282
295333.45067.17519627905266.224803720948
3054515534.30385955399-83.3038595539947
3152245222.939375802071.06062419793216
325790.25156.36461517197633.835384828034
335079.45002.8202934287976.579706571214
344705.84905.59069507968-199.790695079684
354139.64387.40692367421-247.806923674211
363720.84191.68393991043-470.883939910434
3745944402.14634671367191.853653286335
384638.84110.2484062507528.551593749305
394969.45087.03798032938-117.637980329382
404764.44804.3412910452-39.9412910451956
415010.84986.4977590244924.3022409755094
425267.85298.03980493063-30.2398049306257
435312.25026.45196040738285.748039592622
445723.25227.01032661552496.189673384476
454579.64862.69510316409-283.095103164087
465015.24616.552772823398.647227177
474282.44176.48103170542105.918968294583
483834.23963.93015275078-129.730152750783
494523.44466.0944159770457.3055840229645
503884.24280.4106848174-396.210684817396
513897.84896.84688670825-999.046886708251
524845.64505.63691474543339.963085254569
5349294766.03392862068162.966071379318
544955.45079.41986132019-124.019861320192
555198.44903.04736200831295.35263799169
565122.25177.6629212625-55.4629212625014
574643.24455.38808352009187.81191647991
584789.84515.59568548097274.204314519027
593950.83953.12137543481-2.32137543481258
603824.43639.66084428989184.739155710109
614511.84253.36408057609258.435919423912
624262.43941.00638267731321.393617322691
634616.64461.26851139285155.331488607146
645139.64722.61388611095416.986113889055
654972.84947.8701231733424.9298768266635
6652225154.7113122285967.2886877714118
6752425168.0148021221873.9851978778242
684979.85301.21150844365-321.411508443649
694691.84635.486361276856.3136387231953
704821.64716.8744930095104.725506990501
714123.64042.5102525574281.0897474425792
724027.43816.7655092145210.634490785501
734365.24470.35242732553-105.152427325527
744333.64133.26775455952200.332245440483
7549304584.59860378668345.401396213317
7650534973.6257929506679.374207049339
775031.45017.9246764499613.4753235500348
7853425243.5544621549798.4455378450257
795191.45269.8465062322-78.4465062322006
804852.25247.67880539315-395.478805393153
814675.64706.56981254377-30.9698125437717
824689.24795.48086708089-106.280867080894
833809.44083.56865760483-274.168657604832
844054.23849.40381605434204.796183945659
854409.64391.9806228131917.6193771868066
864210.24180.0013051305530.1986948694548
874566.44655.6252253588-89.2252253587994
8849074883.3360597027823.6639402972205
895021.84892.1877015242129.612298475803
905215.25161.3648054192653.8351945807362
914933.65115.79444469526-182.194444695258
925197.84963.45141554273234.348584457267
934734.64643.3800900985891.2199099014233
944681.84725.34538181085-43.5453818108481
9541723965.85617063703206.143829362973
964037.83974.9185252060562.8814747939546
974462.64435.0186442496327.5813557503734
984282.64232.8048398024449.7951601975565
994962.44673.88330673333288.516693266668
1004969.25004.10555337984-34.9055533798437
1015214.65047.35800710896167.241992891039
1025416.85302.4187278911114.381272108903
1034764.25190.88030591072-426.680305910721
1045326.25152.05692890218174.143071097821
1054545.44778.06666619978-232.666666199781
1064797.24767.2497897962429.9502102037613
10742594108.61971483832150.380285161676
10841174062.1875211264254.8124788735809
1094469.24511.40562483524-42.2056248352374
1104203.24308.57148673233-105.371486732335
1115033.84810.41591584042223.384084159585
11248835018.97030539884-135.970305398835
1135361.65117.1767282866244.423271713405
1145044.65365.75507615768-321.155076157682
1155005.64998.174222073477.42577792653447
11653825233.52150398353148.478496016465
1174565.44714.41217408049-149.012174080493
11848254808.1670031705416.8329968294556
1194290.24190.1030499783100.096950021701
1203933.64103.22136995054-169.621369950542
1214177.64483.82243856644-306.222438566439
1223949.44216.32657987418-266.926579874179
1234492.64803.93842156224-311.338421562237
1244894.24799.3667048886594.8332951113489
1255224.45057.81750311015166.582496889851
12650715091.02449447824-20.0244944782362

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 4983.2 & 5097.53557692308 & -114.335576923081 \tabularnewline
14 & 4718.4 & 4830.73406640468 & -112.334066404682 \tabularnewline
15 & 5523.8 & 5599.20209232399 & -75.4020923239859 \tabularnewline
16 & 5286.6 & 5333.57200394697 & -46.9720039469721 \tabularnewline
17 & 5389 & 5416.64218757318 & -27.6421875731803 \tabularnewline
18 & 5810.4 & 5841.79796295557 & -31.3979629555752 \tabularnewline
19 & 5057.4 & 5779.33351407591 & -721.93351407591 \tabularnewline
20 & 5604.4 & 5213.61638447543 & 390.783615524565 \tabularnewline
21 & 5285 & 5083.73463923091 & 201.265360769086 \tabularnewline
22 & 5215.2 & 4992.86564208814 & 222.334357911861 \tabularnewline
23 & 4625.4 & 4606.68361605588 & 18.7163839441237 \tabularnewline
24 & 4270.4 & 4556.92180532903 & -286.521805329033 \tabularnewline
25 & 4685.4 & 4702.63061623434 & -17.2306162343357 \tabularnewline
26 & 4233.8 & 4447.56835495294 & -213.768354952941 \tabularnewline
27 & 5278.4 & 5209.48884294782 & 68.9111570521782 \tabularnewline
28 & 4978.8 & 4972.15649670546 & 6.64350329454282 \tabularnewline
29 & 5333.4 & 5067.17519627905 & 266.224803720948 \tabularnewline
30 & 5451 & 5534.30385955399 & -83.3038595539947 \tabularnewline
31 & 5224 & 5222.93937580207 & 1.06062419793216 \tabularnewline
32 & 5790.2 & 5156.36461517197 & 633.835384828034 \tabularnewline
33 & 5079.4 & 5002.82029342879 & 76.579706571214 \tabularnewline
34 & 4705.8 & 4905.59069507968 & -199.790695079684 \tabularnewline
35 & 4139.6 & 4387.40692367421 & -247.806923674211 \tabularnewline
36 & 3720.8 & 4191.68393991043 & -470.883939910434 \tabularnewline
37 & 4594 & 4402.14634671367 & 191.853653286335 \tabularnewline
38 & 4638.8 & 4110.2484062507 & 528.551593749305 \tabularnewline
39 & 4969.4 & 5087.03798032938 & -117.637980329382 \tabularnewline
40 & 4764.4 & 4804.3412910452 & -39.9412910451956 \tabularnewline
41 & 5010.8 & 4986.49775902449 & 24.3022409755094 \tabularnewline
42 & 5267.8 & 5298.03980493063 & -30.2398049306257 \tabularnewline
43 & 5312.2 & 5026.45196040738 & 285.748039592622 \tabularnewline
44 & 5723.2 & 5227.01032661552 & 496.189673384476 \tabularnewline
45 & 4579.6 & 4862.69510316409 & -283.095103164087 \tabularnewline
46 & 5015.2 & 4616.552772823 & 398.647227177 \tabularnewline
47 & 4282.4 & 4176.48103170542 & 105.918968294583 \tabularnewline
48 & 3834.2 & 3963.93015275078 & -129.730152750783 \tabularnewline
49 & 4523.4 & 4466.09441597704 & 57.3055840229645 \tabularnewline
50 & 3884.2 & 4280.4106848174 & -396.210684817396 \tabularnewline
51 & 3897.8 & 4896.84688670825 & -999.046886708251 \tabularnewline
52 & 4845.6 & 4505.63691474543 & 339.963085254569 \tabularnewline
53 & 4929 & 4766.03392862068 & 162.966071379318 \tabularnewline
54 & 4955.4 & 5079.41986132019 & -124.019861320192 \tabularnewline
55 & 5198.4 & 4903.04736200831 & 295.35263799169 \tabularnewline
56 & 5122.2 & 5177.6629212625 & -55.4629212625014 \tabularnewline
57 & 4643.2 & 4455.38808352009 & 187.81191647991 \tabularnewline
58 & 4789.8 & 4515.59568548097 & 274.204314519027 \tabularnewline
59 & 3950.8 & 3953.12137543481 & -2.32137543481258 \tabularnewline
60 & 3824.4 & 3639.66084428989 & 184.739155710109 \tabularnewline
61 & 4511.8 & 4253.36408057609 & 258.435919423912 \tabularnewline
62 & 4262.4 & 3941.00638267731 & 321.393617322691 \tabularnewline
63 & 4616.6 & 4461.26851139285 & 155.331488607146 \tabularnewline
64 & 5139.6 & 4722.61388611095 & 416.986113889055 \tabularnewline
65 & 4972.8 & 4947.87012317334 & 24.9298768266635 \tabularnewline
66 & 5222 & 5154.71131222859 & 67.2886877714118 \tabularnewline
67 & 5242 & 5168.01480212218 & 73.9851978778242 \tabularnewline
68 & 4979.8 & 5301.21150844365 & -321.411508443649 \tabularnewline
69 & 4691.8 & 4635.4863612768 & 56.3136387231953 \tabularnewline
70 & 4821.6 & 4716.8744930095 & 104.725506990501 \tabularnewline
71 & 4123.6 & 4042.51025255742 & 81.0897474425792 \tabularnewline
72 & 4027.4 & 3816.7655092145 & 210.634490785501 \tabularnewline
73 & 4365.2 & 4470.35242732553 & -105.152427325527 \tabularnewline
74 & 4333.6 & 4133.26775455952 & 200.332245440483 \tabularnewline
75 & 4930 & 4584.59860378668 & 345.401396213317 \tabularnewline
76 & 5053 & 4973.62579295066 & 79.374207049339 \tabularnewline
77 & 5031.4 & 5017.92467644996 & 13.4753235500348 \tabularnewline
78 & 5342 & 5243.55446215497 & 98.4455378450257 \tabularnewline
79 & 5191.4 & 5269.8465062322 & -78.4465062322006 \tabularnewline
80 & 4852.2 & 5247.67880539315 & -395.478805393153 \tabularnewline
81 & 4675.6 & 4706.56981254377 & -30.9698125437717 \tabularnewline
82 & 4689.2 & 4795.48086708089 & -106.280867080894 \tabularnewline
83 & 3809.4 & 4083.56865760483 & -274.168657604832 \tabularnewline
84 & 4054.2 & 3849.40381605434 & 204.796183945659 \tabularnewline
85 & 4409.6 & 4391.98062281319 & 17.6193771868066 \tabularnewline
86 & 4210.2 & 4180.00130513055 & 30.1986948694548 \tabularnewline
87 & 4566.4 & 4655.6252253588 & -89.2252253587994 \tabularnewline
88 & 4907 & 4883.33605970278 & 23.6639402972205 \tabularnewline
89 & 5021.8 & 4892.1877015242 & 129.612298475803 \tabularnewline
90 & 5215.2 & 5161.36480541926 & 53.8351945807362 \tabularnewline
91 & 4933.6 & 5115.79444469526 & -182.194444695258 \tabularnewline
92 & 5197.8 & 4963.45141554273 & 234.348584457267 \tabularnewline
93 & 4734.6 & 4643.38009009858 & 91.2199099014233 \tabularnewline
94 & 4681.8 & 4725.34538181085 & -43.5453818108481 \tabularnewline
95 & 4172 & 3965.85617063703 & 206.143829362973 \tabularnewline
96 & 4037.8 & 3974.91852520605 & 62.8814747939546 \tabularnewline
97 & 4462.6 & 4435.01864424963 & 27.5813557503734 \tabularnewline
98 & 4282.6 & 4232.80483980244 & 49.7951601975565 \tabularnewline
99 & 4962.4 & 4673.88330673333 & 288.516693266668 \tabularnewline
100 & 4969.2 & 5004.10555337984 & -34.9055533798437 \tabularnewline
101 & 5214.6 & 5047.35800710896 & 167.241992891039 \tabularnewline
102 & 5416.8 & 5302.4187278911 & 114.381272108903 \tabularnewline
103 & 4764.2 & 5190.88030591072 & -426.680305910721 \tabularnewline
104 & 5326.2 & 5152.05692890218 & 174.143071097821 \tabularnewline
105 & 4545.4 & 4778.06666619978 & -232.666666199781 \tabularnewline
106 & 4797.2 & 4767.24978979624 & 29.9502102037613 \tabularnewline
107 & 4259 & 4108.61971483832 & 150.380285161676 \tabularnewline
108 & 4117 & 4062.18752112642 & 54.8124788735809 \tabularnewline
109 & 4469.2 & 4511.40562483524 & -42.2056248352374 \tabularnewline
110 & 4203.2 & 4308.57148673233 & -105.371486732335 \tabularnewline
111 & 5033.8 & 4810.41591584042 & 223.384084159585 \tabularnewline
112 & 4883 & 5018.97030539884 & -135.970305398835 \tabularnewline
113 & 5361.6 & 5117.1767282866 & 244.423271713405 \tabularnewline
114 & 5044.6 & 5365.75507615768 & -321.155076157682 \tabularnewline
115 & 5005.6 & 4998.17422207347 & 7.42577792653447 \tabularnewline
116 & 5382 & 5233.52150398353 & 148.478496016465 \tabularnewline
117 & 4565.4 & 4714.41217408049 & -149.012174080493 \tabularnewline
118 & 4825 & 4808.16700317054 & 16.8329968294556 \tabularnewline
119 & 4290.2 & 4190.1030499783 & 100.096950021701 \tabularnewline
120 & 3933.6 & 4103.22136995054 & -169.621369950542 \tabularnewline
121 & 4177.6 & 4483.82243856644 & -306.222438566439 \tabularnewline
122 & 3949.4 & 4216.32657987418 & -266.926579874179 \tabularnewline
123 & 4492.6 & 4803.93842156224 & -311.338421562237 \tabularnewline
124 & 4894.2 & 4799.36670488865 & 94.8332951113489 \tabularnewline
125 & 5224.4 & 5057.81750311015 & 166.582496889851 \tabularnewline
126 & 5071 & 5091.02449447824 & -20.0244944782362 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302279&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]4983.2[/C][C]5097.53557692308[/C][C]-114.335576923081[/C][/ROW]
[ROW][C]14[/C][C]4718.4[/C][C]4830.73406640468[/C][C]-112.334066404682[/C][/ROW]
[ROW][C]15[/C][C]5523.8[/C][C]5599.20209232399[/C][C]-75.4020923239859[/C][/ROW]
[ROW][C]16[/C][C]5286.6[/C][C]5333.57200394697[/C][C]-46.9720039469721[/C][/ROW]
[ROW][C]17[/C][C]5389[/C][C]5416.64218757318[/C][C]-27.6421875731803[/C][/ROW]
[ROW][C]18[/C][C]5810.4[/C][C]5841.79796295557[/C][C]-31.3979629555752[/C][/ROW]
[ROW][C]19[/C][C]5057.4[/C][C]5779.33351407591[/C][C]-721.93351407591[/C][/ROW]
[ROW][C]20[/C][C]5604.4[/C][C]5213.61638447543[/C][C]390.783615524565[/C][/ROW]
[ROW][C]21[/C][C]5285[/C][C]5083.73463923091[/C][C]201.265360769086[/C][/ROW]
[ROW][C]22[/C][C]5215.2[/C][C]4992.86564208814[/C][C]222.334357911861[/C][/ROW]
[ROW][C]23[/C][C]4625.4[/C][C]4606.68361605588[/C][C]18.7163839441237[/C][/ROW]
[ROW][C]24[/C][C]4270.4[/C][C]4556.92180532903[/C][C]-286.521805329033[/C][/ROW]
[ROW][C]25[/C][C]4685.4[/C][C]4702.63061623434[/C][C]-17.2306162343357[/C][/ROW]
[ROW][C]26[/C][C]4233.8[/C][C]4447.56835495294[/C][C]-213.768354952941[/C][/ROW]
[ROW][C]27[/C][C]5278.4[/C][C]5209.48884294782[/C][C]68.9111570521782[/C][/ROW]
[ROW][C]28[/C][C]4978.8[/C][C]4972.15649670546[/C][C]6.64350329454282[/C][/ROW]
[ROW][C]29[/C][C]5333.4[/C][C]5067.17519627905[/C][C]266.224803720948[/C][/ROW]
[ROW][C]30[/C][C]5451[/C][C]5534.30385955399[/C][C]-83.3038595539947[/C][/ROW]
[ROW][C]31[/C][C]5224[/C][C]5222.93937580207[/C][C]1.06062419793216[/C][/ROW]
[ROW][C]32[/C][C]5790.2[/C][C]5156.36461517197[/C][C]633.835384828034[/C][/ROW]
[ROW][C]33[/C][C]5079.4[/C][C]5002.82029342879[/C][C]76.579706571214[/C][/ROW]
[ROW][C]34[/C][C]4705.8[/C][C]4905.59069507968[/C][C]-199.790695079684[/C][/ROW]
[ROW][C]35[/C][C]4139.6[/C][C]4387.40692367421[/C][C]-247.806923674211[/C][/ROW]
[ROW][C]36[/C][C]3720.8[/C][C]4191.68393991043[/C][C]-470.883939910434[/C][/ROW]
[ROW][C]37[/C][C]4594[/C][C]4402.14634671367[/C][C]191.853653286335[/C][/ROW]
[ROW][C]38[/C][C]4638.8[/C][C]4110.2484062507[/C][C]528.551593749305[/C][/ROW]
[ROW][C]39[/C][C]4969.4[/C][C]5087.03798032938[/C][C]-117.637980329382[/C][/ROW]
[ROW][C]40[/C][C]4764.4[/C][C]4804.3412910452[/C][C]-39.9412910451956[/C][/ROW]
[ROW][C]41[/C][C]5010.8[/C][C]4986.49775902449[/C][C]24.3022409755094[/C][/ROW]
[ROW][C]42[/C][C]5267.8[/C][C]5298.03980493063[/C][C]-30.2398049306257[/C][/ROW]
[ROW][C]43[/C][C]5312.2[/C][C]5026.45196040738[/C][C]285.748039592622[/C][/ROW]
[ROW][C]44[/C][C]5723.2[/C][C]5227.01032661552[/C][C]496.189673384476[/C][/ROW]
[ROW][C]45[/C][C]4579.6[/C][C]4862.69510316409[/C][C]-283.095103164087[/C][/ROW]
[ROW][C]46[/C][C]5015.2[/C][C]4616.552772823[/C][C]398.647227177[/C][/ROW]
[ROW][C]47[/C][C]4282.4[/C][C]4176.48103170542[/C][C]105.918968294583[/C][/ROW]
[ROW][C]48[/C][C]3834.2[/C][C]3963.93015275078[/C][C]-129.730152750783[/C][/ROW]
[ROW][C]49[/C][C]4523.4[/C][C]4466.09441597704[/C][C]57.3055840229645[/C][/ROW]
[ROW][C]50[/C][C]3884.2[/C][C]4280.4106848174[/C][C]-396.210684817396[/C][/ROW]
[ROW][C]51[/C][C]3897.8[/C][C]4896.84688670825[/C][C]-999.046886708251[/C][/ROW]
[ROW][C]52[/C][C]4845.6[/C][C]4505.63691474543[/C][C]339.963085254569[/C][/ROW]
[ROW][C]53[/C][C]4929[/C][C]4766.03392862068[/C][C]162.966071379318[/C][/ROW]
[ROW][C]54[/C][C]4955.4[/C][C]5079.41986132019[/C][C]-124.019861320192[/C][/ROW]
[ROW][C]55[/C][C]5198.4[/C][C]4903.04736200831[/C][C]295.35263799169[/C][/ROW]
[ROW][C]56[/C][C]5122.2[/C][C]5177.6629212625[/C][C]-55.4629212625014[/C][/ROW]
[ROW][C]57[/C][C]4643.2[/C][C]4455.38808352009[/C][C]187.81191647991[/C][/ROW]
[ROW][C]58[/C][C]4789.8[/C][C]4515.59568548097[/C][C]274.204314519027[/C][/ROW]
[ROW][C]59[/C][C]3950.8[/C][C]3953.12137543481[/C][C]-2.32137543481258[/C][/ROW]
[ROW][C]60[/C][C]3824.4[/C][C]3639.66084428989[/C][C]184.739155710109[/C][/ROW]
[ROW][C]61[/C][C]4511.8[/C][C]4253.36408057609[/C][C]258.435919423912[/C][/ROW]
[ROW][C]62[/C][C]4262.4[/C][C]3941.00638267731[/C][C]321.393617322691[/C][/ROW]
[ROW][C]63[/C][C]4616.6[/C][C]4461.26851139285[/C][C]155.331488607146[/C][/ROW]
[ROW][C]64[/C][C]5139.6[/C][C]4722.61388611095[/C][C]416.986113889055[/C][/ROW]
[ROW][C]65[/C][C]4972.8[/C][C]4947.87012317334[/C][C]24.9298768266635[/C][/ROW]
[ROW][C]66[/C][C]5222[/C][C]5154.71131222859[/C][C]67.2886877714118[/C][/ROW]
[ROW][C]67[/C][C]5242[/C][C]5168.01480212218[/C][C]73.9851978778242[/C][/ROW]
[ROW][C]68[/C][C]4979.8[/C][C]5301.21150844365[/C][C]-321.411508443649[/C][/ROW]
[ROW][C]69[/C][C]4691.8[/C][C]4635.4863612768[/C][C]56.3136387231953[/C][/ROW]
[ROW][C]70[/C][C]4821.6[/C][C]4716.8744930095[/C][C]104.725506990501[/C][/ROW]
[ROW][C]71[/C][C]4123.6[/C][C]4042.51025255742[/C][C]81.0897474425792[/C][/ROW]
[ROW][C]72[/C][C]4027.4[/C][C]3816.7655092145[/C][C]210.634490785501[/C][/ROW]
[ROW][C]73[/C][C]4365.2[/C][C]4470.35242732553[/C][C]-105.152427325527[/C][/ROW]
[ROW][C]74[/C][C]4333.6[/C][C]4133.26775455952[/C][C]200.332245440483[/C][/ROW]
[ROW][C]75[/C][C]4930[/C][C]4584.59860378668[/C][C]345.401396213317[/C][/ROW]
[ROW][C]76[/C][C]5053[/C][C]4973.62579295066[/C][C]79.374207049339[/C][/ROW]
[ROW][C]77[/C][C]5031.4[/C][C]5017.92467644996[/C][C]13.4753235500348[/C][/ROW]
[ROW][C]78[/C][C]5342[/C][C]5243.55446215497[/C][C]98.4455378450257[/C][/ROW]
[ROW][C]79[/C][C]5191.4[/C][C]5269.8465062322[/C][C]-78.4465062322006[/C][/ROW]
[ROW][C]80[/C][C]4852.2[/C][C]5247.67880539315[/C][C]-395.478805393153[/C][/ROW]
[ROW][C]81[/C][C]4675.6[/C][C]4706.56981254377[/C][C]-30.9698125437717[/C][/ROW]
[ROW][C]82[/C][C]4689.2[/C][C]4795.48086708089[/C][C]-106.280867080894[/C][/ROW]
[ROW][C]83[/C][C]3809.4[/C][C]4083.56865760483[/C][C]-274.168657604832[/C][/ROW]
[ROW][C]84[/C][C]4054.2[/C][C]3849.40381605434[/C][C]204.796183945659[/C][/ROW]
[ROW][C]85[/C][C]4409.6[/C][C]4391.98062281319[/C][C]17.6193771868066[/C][/ROW]
[ROW][C]86[/C][C]4210.2[/C][C]4180.00130513055[/C][C]30.1986948694548[/C][/ROW]
[ROW][C]87[/C][C]4566.4[/C][C]4655.6252253588[/C][C]-89.2252253587994[/C][/ROW]
[ROW][C]88[/C][C]4907[/C][C]4883.33605970278[/C][C]23.6639402972205[/C][/ROW]
[ROW][C]89[/C][C]5021.8[/C][C]4892.1877015242[/C][C]129.612298475803[/C][/ROW]
[ROW][C]90[/C][C]5215.2[/C][C]5161.36480541926[/C][C]53.8351945807362[/C][/ROW]
[ROW][C]91[/C][C]4933.6[/C][C]5115.79444469526[/C][C]-182.194444695258[/C][/ROW]
[ROW][C]92[/C][C]5197.8[/C][C]4963.45141554273[/C][C]234.348584457267[/C][/ROW]
[ROW][C]93[/C][C]4734.6[/C][C]4643.38009009858[/C][C]91.2199099014233[/C][/ROW]
[ROW][C]94[/C][C]4681.8[/C][C]4725.34538181085[/C][C]-43.5453818108481[/C][/ROW]
[ROW][C]95[/C][C]4172[/C][C]3965.85617063703[/C][C]206.143829362973[/C][/ROW]
[ROW][C]96[/C][C]4037.8[/C][C]3974.91852520605[/C][C]62.8814747939546[/C][/ROW]
[ROW][C]97[/C][C]4462.6[/C][C]4435.01864424963[/C][C]27.5813557503734[/C][/ROW]
[ROW][C]98[/C][C]4282.6[/C][C]4232.80483980244[/C][C]49.7951601975565[/C][/ROW]
[ROW][C]99[/C][C]4962.4[/C][C]4673.88330673333[/C][C]288.516693266668[/C][/ROW]
[ROW][C]100[/C][C]4969.2[/C][C]5004.10555337984[/C][C]-34.9055533798437[/C][/ROW]
[ROW][C]101[/C][C]5214.6[/C][C]5047.35800710896[/C][C]167.241992891039[/C][/ROW]
[ROW][C]102[/C][C]5416.8[/C][C]5302.4187278911[/C][C]114.381272108903[/C][/ROW]
[ROW][C]103[/C][C]4764.2[/C][C]5190.88030591072[/C][C]-426.680305910721[/C][/ROW]
[ROW][C]104[/C][C]5326.2[/C][C]5152.05692890218[/C][C]174.143071097821[/C][/ROW]
[ROW][C]105[/C][C]4545.4[/C][C]4778.06666619978[/C][C]-232.666666199781[/C][/ROW]
[ROW][C]106[/C][C]4797.2[/C][C]4767.24978979624[/C][C]29.9502102037613[/C][/ROW]
[ROW][C]107[/C][C]4259[/C][C]4108.61971483832[/C][C]150.380285161676[/C][/ROW]
[ROW][C]108[/C][C]4117[/C][C]4062.18752112642[/C][C]54.8124788735809[/C][/ROW]
[ROW][C]109[/C][C]4469.2[/C][C]4511.40562483524[/C][C]-42.2056248352374[/C][/ROW]
[ROW][C]110[/C][C]4203.2[/C][C]4308.57148673233[/C][C]-105.371486732335[/C][/ROW]
[ROW][C]111[/C][C]5033.8[/C][C]4810.41591584042[/C][C]223.384084159585[/C][/ROW]
[ROW][C]112[/C][C]4883[/C][C]5018.97030539884[/C][C]-135.970305398835[/C][/ROW]
[ROW][C]113[/C][C]5361.6[/C][C]5117.1767282866[/C][C]244.423271713405[/C][/ROW]
[ROW][C]114[/C][C]5044.6[/C][C]5365.75507615768[/C][C]-321.155076157682[/C][/ROW]
[ROW][C]115[/C][C]5005.6[/C][C]4998.17422207347[/C][C]7.42577792653447[/C][/ROW]
[ROW][C]116[/C][C]5382[/C][C]5233.52150398353[/C][C]148.478496016465[/C][/ROW]
[ROW][C]117[/C][C]4565.4[/C][C]4714.41217408049[/C][C]-149.012174080493[/C][/ROW]
[ROW][C]118[/C][C]4825[/C][C]4808.16700317054[/C][C]16.8329968294556[/C][/ROW]
[ROW][C]119[/C][C]4290.2[/C][C]4190.1030499783[/C][C]100.096950021701[/C][/ROW]
[ROW][C]120[/C][C]3933.6[/C][C]4103.22136995054[/C][C]-169.621369950542[/C][/ROW]
[ROW][C]121[/C][C]4177.6[/C][C]4483.82243856644[/C][C]-306.222438566439[/C][/ROW]
[ROW][C]122[/C][C]3949.4[/C][C]4216.32657987418[/C][C]-266.926579874179[/C][/ROW]
[ROW][C]123[/C][C]4492.6[/C][C]4803.93842156224[/C][C]-311.338421562237[/C][/ROW]
[ROW][C]124[/C][C]4894.2[/C][C]4799.36670488865[/C][C]94.8332951113489[/C][/ROW]
[ROW][C]125[/C][C]5224.4[/C][C]5057.81750311015[/C][C]166.582496889851[/C][/ROW]
[ROW][C]126[/C][C]5071[/C][C]5091.02449447824[/C][C]-20.0244944782362[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302279&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302279&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
134983.25097.53557692308-114.335576923081
144718.44830.73406640468-112.334066404682
155523.85599.20209232399-75.4020923239859
165286.65333.57200394697-46.9720039469721
1753895416.64218757318-27.6421875731803
185810.45841.79796295557-31.3979629555752
195057.45779.33351407591-721.93351407591
205604.45213.61638447543390.783615524565
2152855083.73463923091201.265360769086
225215.24992.86564208814222.334357911861
234625.44606.6836160558818.7163839441237
244270.44556.92180532903-286.521805329033
254685.44702.63061623434-17.2306162343357
264233.84447.56835495294-213.768354952941
275278.45209.4888429478268.9111570521782
284978.84972.156496705466.64350329454282
295333.45067.17519627905266.224803720948
3054515534.30385955399-83.3038595539947
3152245222.939375802071.06062419793216
325790.25156.36461517197633.835384828034
335079.45002.8202934287976.579706571214
344705.84905.59069507968-199.790695079684
354139.64387.40692367421-247.806923674211
363720.84191.68393991043-470.883939910434
3745944402.14634671367191.853653286335
384638.84110.2484062507528.551593749305
394969.45087.03798032938-117.637980329382
404764.44804.3412910452-39.9412910451956
415010.84986.4977590244924.3022409755094
425267.85298.03980493063-30.2398049306257
435312.25026.45196040738285.748039592622
445723.25227.01032661552496.189673384476
454579.64862.69510316409-283.095103164087
465015.24616.552772823398.647227177
474282.44176.48103170542105.918968294583
483834.23963.93015275078-129.730152750783
494523.44466.0944159770457.3055840229645
503884.24280.4106848174-396.210684817396
513897.84896.84688670825-999.046886708251
524845.64505.63691474543339.963085254569
5349294766.03392862068162.966071379318
544955.45079.41986132019-124.019861320192
555198.44903.04736200831295.35263799169
565122.25177.6629212625-55.4629212625014
574643.24455.38808352009187.81191647991
584789.84515.59568548097274.204314519027
593950.83953.12137543481-2.32137543481258
603824.43639.66084428989184.739155710109
614511.84253.36408057609258.435919423912
624262.43941.00638267731321.393617322691
634616.64461.26851139285155.331488607146
645139.64722.61388611095416.986113889055
654972.84947.8701231733424.9298768266635
6652225154.7113122285967.2886877714118
6752425168.0148021221873.9851978778242
684979.85301.21150844365-321.411508443649
694691.84635.486361276856.3136387231953
704821.64716.8744930095104.725506990501
714123.64042.5102525574281.0897474425792
724027.43816.7655092145210.634490785501
734365.24470.35242732553-105.152427325527
744333.64133.26775455952200.332245440483
7549304584.59860378668345.401396213317
7650534973.6257929506679.374207049339
775031.45017.9246764499613.4753235500348
7853425243.5544621549798.4455378450257
795191.45269.8465062322-78.4465062322006
804852.25247.67880539315-395.478805393153
814675.64706.56981254377-30.9698125437717
824689.24795.48086708089-106.280867080894
833809.44083.56865760483-274.168657604832
844054.23849.40381605434204.796183945659
854409.64391.9806228131917.6193771868066
864210.24180.0013051305530.1986948694548
874566.44655.6252253588-89.2252253587994
8849074883.3360597027823.6639402972205
895021.84892.1877015242129.612298475803
905215.25161.3648054192653.8351945807362
914933.65115.79444469526-182.194444695258
925197.84963.45141554273234.348584457267
934734.64643.3800900985891.2199099014233
944681.84725.34538181085-43.5453818108481
9541723965.85617063703206.143829362973
964037.83974.9185252060562.8814747939546
974462.64435.0186442496327.5813557503734
984282.64232.8048398024449.7951601975565
994962.44673.88330673333288.516693266668
1004969.25004.10555337984-34.9055533798437
1015214.65047.35800710896167.241992891039
1025416.85302.4187278911114.381272108903
1034764.25190.88030591072-426.680305910721
1045326.25152.05692890218174.143071097821
1054545.44778.06666619978-232.666666199781
1064797.24767.2497897962429.9502102037613
10742594108.61971483832150.380285161676
10841174062.1875211264254.8124788735809
1094469.24511.40562483524-42.2056248352374
1104203.24308.57148673233-105.371486732335
1115033.84810.41591584042223.384084159585
11248835018.97030539884-135.970305398835
1135361.65117.1767282866244.423271713405
1145044.65365.75507615768-321.155076157682
1155005.64998.174222073477.42577792653447
11653825233.52150398353148.478496016465
1174565.44714.41217408049-149.012174080493
11848254808.1670031705416.8329968294556
1194290.24190.1030499783100.096950021701
1203933.64103.22136995054-169.621369950542
1214177.64483.82243856644-306.222438566439
1223949.44216.32657987418-266.926579874179
1234492.64803.93842156224-311.338421562237
1244894.24799.3667048886594.8332951113489
1255224.45057.81750311015166.582496889851
12650715091.02449447824-20.0244944782362







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1274877.796361324374410.237038848335345.35568380041
1285156.082257643194682.811640286915629.35287499946
1294505.27839356654025.840363488834984.71642364417
1304674.0002646484187.932974544635160.06755475138
1314077.259596518773584.097064586224570.42212845132
1323875.807228906863375.080866465174376.53359134854
1334229.686505357013720.926561854564738.44644885945
1344019.253447667233501.990360557794536.51653477667
1354630.859360258384104.625000165375157.09372035139
1364815.809023048534280.137827574655351.48021852242
1375086.066314366534540.496306743265631.6363219898
1385029.330308472154473.40399987215585.25661707219

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 4877.79636132437 & 4410.23703884833 & 5345.35568380041 \tabularnewline
128 & 5156.08225764319 & 4682.81164028691 & 5629.35287499946 \tabularnewline
129 & 4505.2783935665 & 4025.84036348883 & 4984.71642364417 \tabularnewline
130 & 4674.000264648 & 4187.93297454463 & 5160.06755475138 \tabularnewline
131 & 4077.25959651877 & 3584.09706458622 & 4570.42212845132 \tabularnewline
132 & 3875.80722890686 & 3375.08086646517 & 4376.53359134854 \tabularnewline
133 & 4229.68650535701 & 3720.92656185456 & 4738.44644885945 \tabularnewline
134 & 4019.25344766723 & 3501.99036055779 & 4536.51653477667 \tabularnewline
135 & 4630.85936025838 & 4104.62500016537 & 5157.09372035139 \tabularnewline
136 & 4815.80902304853 & 4280.13782757465 & 5351.48021852242 \tabularnewline
137 & 5086.06631436653 & 4540.49630674326 & 5631.6363219898 \tabularnewline
138 & 5029.33030847215 & 4473.4039998721 & 5585.25661707219 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302279&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]4877.79636132437[/C][C]4410.23703884833[/C][C]5345.35568380041[/C][/ROW]
[ROW][C]128[/C][C]5156.08225764319[/C][C]4682.81164028691[/C][C]5629.35287499946[/C][/ROW]
[ROW][C]129[/C][C]4505.2783935665[/C][C]4025.84036348883[/C][C]4984.71642364417[/C][/ROW]
[ROW][C]130[/C][C]4674.000264648[/C][C]4187.93297454463[/C][C]5160.06755475138[/C][/ROW]
[ROW][C]131[/C][C]4077.25959651877[/C][C]3584.09706458622[/C][C]4570.42212845132[/C][/ROW]
[ROW][C]132[/C][C]3875.80722890686[/C][C]3375.08086646517[/C][C]4376.53359134854[/C][/ROW]
[ROW][C]133[/C][C]4229.68650535701[/C][C]3720.92656185456[/C][C]4738.44644885945[/C][/ROW]
[ROW][C]134[/C][C]4019.25344766723[/C][C]3501.99036055779[/C][C]4536.51653477667[/C][/ROW]
[ROW][C]135[/C][C]4630.85936025838[/C][C]4104.62500016537[/C][C]5157.09372035139[/C][/ROW]
[ROW][C]136[/C][C]4815.80902304853[/C][C]4280.13782757465[/C][C]5351.48021852242[/C][/ROW]
[ROW][C]137[/C][C]5086.06631436653[/C][C]4540.49630674326[/C][C]5631.6363219898[/C][/ROW]
[ROW][C]138[/C][C]5029.33030847215[/C][C]4473.4039998721[/C][C]5585.25661707219[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302279&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302279&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
1274877.796361324374410.237038848335345.35568380041
1285156.082257643194682.811640286915629.35287499946
1294505.27839356654025.840363488834984.71642364417
1304674.0002646484187.932974544635160.06755475138
1314077.259596518773584.097064586224570.42212845132
1323875.807228906863375.080866465174376.53359134854
1334229.686505357013720.926561854564738.44644885945
1344019.253447667233501.990360557794536.51653477667
1354630.859360258384104.625000165375157.09372035139
1364815.809023048534280.137827574655351.48021852242
1375086.066314366534540.496306743265631.6363219898
1385029.330308472154473.40399987215585.25661707219



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