Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 19 Dec 2016 10:09:38 +0000
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/19/t1482142345t4urvvyu164n1g8.htm/, Retrieved Sat, 18 May 2024 05:36:23 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 18 May 2024 05:36:23 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
75.99
76.31
76.51
76.75
77.23
77.22
77.25
77.36
77.57
77.88
78.29
78.42
78.96
79.85
80.05
80.16
80.29
80.36
80.48
80.95
82.3
84.81
85.4
86.13
87.02
87.38
87.5
87.91
88.06
88.09
88.16
88.33
88.52
88.96
89.26
89.34
89.09
89.25
89.31
89.28
89.32
89.47
89.59
89.62
89.71
89.9
90.04
90.05
90.18
90.5
90.63
90.75
90.76
90.67
90.5
90.8
91.22
92.19
92.51
92.67
93.75
94.1
94.96
95.21
95.33
95.43
95.44
95.64
95.8
95.87
95.98
96.07
96.23
96.32
96.55
96.73
96.61
96.64
96.86
97.02
97.22
98.1
98.46
98.6
98.78
99.13
99.48
99.62
99.68
99.95
100.12
100.25
100.47
100.7
100.88
100.95
100.92
101.12
101.19
101.28
101.28
101.3
101.3
101.36
101.45
101.58
101.73
101.84
102.01
102.14
102.16
102.32
102.41
102.4
102.43
102.42
102.3
102.65
102.72
102.86




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

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

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.443679010058489
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.443679010058489 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]1[/C][/ROW]
[ROW][C]beta[/C][C]0.443679010058489[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=1

As an alternative you can also use a QR Code:  

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

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.443679010058489
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
376.5176.63-0.120000000000005
476.7576.776758518793-0.0267585187929882
577.2377.00488632566430.225113674335716
677.2277.5847645378442-0.364764537844195
777.2577.412926168789-0.162926168789028
877.3677.3706392475081-0.0106392475080952
977.5777.47591883670590.0940811632940637
1077.8877.72766067410140.152339325898609
1178.2978.10525043540910.184749564590945
1278.4278.5972199393355-0.177219939335515
1378.9678.64859117208850.311408827911492
1479.8579.32675673257970.523243267420256
1580.0580.4489087874885-0.398908787488537
1680.1680.471921331552-0.311921331551986
1780.2980.4435283839529-0.153528383952874
1880.3680.5054110625448-0.145411062544795
1980.4880.5108952262634-0.0308952262633539
2080.9580.61718766285930.332812337140695
2182.381.23484951113711.06515048886286
2284.8183.05743442559911.75256557440088
2385.486.3450109847119-0.945010984711885
2486.1386.5157294465205-0.385729446520529
2587.0287.0745893875379-0.054589387537888
2687.3887.9403692221154-0.560369222115384
2787.588.05174516038-0.55174516037998
2887.9187.926947413818-0.0169474138180306
2988.0688.3294282020322-0.269428202032188
3088.0988.3598885640727-0.269888564072716
3188.1688.2701446731388-0.110144673138834
3288.3388.29127579359740.0387242064026339
3388.5288.47845691115940.0415430888406121
3488.9688.6868887076910.273111292309039
3589.2689.24806245549840.0119375445015777
3689.3489.5533588934254-0.213358893425422
3789.0989.5386960308033-0.448696030803248
3889.2589.08961902003930.160380979960706
3989.3189.3207766944605-0.0107766944604606
4089.2889.3759953013305-0.0959953013305466
4189.3289.30340420106590.0165957989340484
4289.4789.35076740870810.119232591291876
4389.5989.55366840677920.0363315932207797
4489.6289.6897879720933-0.0697879720932661
4589.7189.68882451372090.0211754862790485
4689.989.78821963251070.111780367489274
4790.0490.02781423530240.012185764697648
4890.0590.1732208033202-0.123220803320223
4990.1890.12855031928450.0514496807155211
5090.590.28137746269220.218622537307823
5190.6390.6983756936214-0.0683756936213911
5290.7590.7980388335634-0.0480388335633819
5390.7690.8967250114436-0.136725011443616
5490.6790.8460629937161-0.176062993716087
5590.590.6779475389562-0.17794753895619
5690.890.42899595102980.371004048970235
5791.2290.89360266020460.326397339795435
5892.1991.45841830881070.731581691189263
5992.5192.7530057493345-0.243005749334486
6092.6792.9651891990313-0.295189199031256
6193.7592.99421994742510.755780052574892
6294.194.4095436929735-0.309543692973492
6394.9694.62220565370520.337794346294842
6495.2195.6320779148726-0.422077914872602
6595.3395.6948108034344-0.364810803434381
6695.4395.652951907308-0.222951907307959
6795.4495.6540328257829-0.214032825782937
6895.6495.56907095351950.0709290464804724
6995.895.8005406826464-0.000540682646388291
7095.8795.9603007931051-0.0903007931050723
7195.9895.9902362266127-0.0102362266127187
7296.0796.0956946277225-0.0256946277224728
7396.2396.17429446073070.0557055392692831
7496.3296.3590098392485-0.0390098392485072
7596.5596.43170199238820.118298007611827
7696.7396.71418833529730.0158116647027242
7796.6196.90120363904-0.291203639039963
7896.6496.6520026967453-0.0120026967452844
7996.8696.67667735213530.183322647864699
8097.0296.97801376306120.0419862369387829
8197.2297.15664217510230.0633578248977074
8298.197.38475271213240.715247287867626
8398.4698.5820929207605-0.122092920760494
8498.698.8879228545423-0.28792285454233
8598.7898.9001775274658-0.120177527465771
8699.1399.02685728104850.103142718951503
8799.4899.42261954048760.0573804595123732
8899.6299.7980780459608-0.178078045960788
8999.6899.8590685548158-0.179068554815757
9099.9599.83961959568250.110380404317496
91100.12100.1585930642-0.0385930641999437
92100.25100.311470131681-0.0614701316805935
93100.47100.4141971245080.0558028754916222
94100.7100.6589556890650.0410443109350922
95100.88100.907166188309-0.0271661883091383
96100.95101.075113120773-0.125113120773065
97100.92101.089603055203-0.169603055203154
98101.12100.9843537395680.135646260432281
99101.19101.244537138114-0.0545371381144548
100101.28101.290340154664-0.0103401546644051
101101.28101.375752445079-0.0957524450790572
102101.3101.333269095036-0.0332690950357062
103101.3101.338508295885-0.0385082958847107
104101.36101.3214229732880.0385770267124599
105101.45101.398538790310.0514612096896769
106101.58101.5113710488820.0686289511181428
107101.73101.6718202739750.0581797260247043
108101.84101.847633397223-0.00763339722341527
109102.01101.95424661910.0557533809000574
110102.14102.148983223945-0.00898322394510842
111102.16102.274997556038-0.114997556038006
112102.32102.2439755542160.0760244457840855
113102.41102.437706005062-0.0277060050616313
114102.4102.515413432163-0.115413432163209
115102.43102.454206914834-0.0242069148335986
116102.42102.473466814824-0.0534668148236648
117102.3102.439744711352-0.13974471135171
118102.65102.2577429161580.392257083841741
119102.72102.781779150806-0.0617791508056058
120102.86102.8243690383340.0356309616660866

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 76.51 & 76.63 & -0.120000000000005 \tabularnewline
4 & 76.75 & 76.776758518793 & -0.0267585187929882 \tabularnewline
5 & 77.23 & 77.0048863256643 & 0.225113674335716 \tabularnewline
6 & 77.22 & 77.5847645378442 & -0.364764537844195 \tabularnewline
7 & 77.25 & 77.412926168789 & -0.162926168789028 \tabularnewline
8 & 77.36 & 77.3706392475081 & -0.0106392475080952 \tabularnewline
9 & 77.57 & 77.4759188367059 & 0.0940811632940637 \tabularnewline
10 & 77.88 & 77.7276606741014 & 0.152339325898609 \tabularnewline
11 & 78.29 & 78.1052504354091 & 0.184749564590945 \tabularnewline
12 & 78.42 & 78.5972199393355 & -0.177219939335515 \tabularnewline
13 & 78.96 & 78.6485911720885 & 0.311408827911492 \tabularnewline
14 & 79.85 & 79.3267567325797 & 0.523243267420256 \tabularnewline
15 & 80.05 & 80.4489087874885 & -0.398908787488537 \tabularnewline
16 & 80.16 & 80.471921331552 & -0.311921331551986 \tabularnewline
17 & 80.29 & 80.4435283839529 & -0.153528383952874 \tabularnewline
18 & 80.36 & 80.5054110625448 & -0.145411062544795 \tabularnewline
19 & 80.48 & 80.5108952262634 & -0.0308952262633539 \tabularnewline
20 & 80.95 & 80.6171876628593 & 0.332812337140695 \tabularnewline
21 & 82.3 & 81.2348495111371 & 1.06515048886286 \tabularnewline
22 & 84.81 & 83.0574344255991 & 1.75256557440088 \tabularnewline
23 & 85.4 & 86.3450109847119 & -0.945010984711885 \tabularnewline
24 & 86.13 & 86.5157294465205 & -0.385729446520529 \tabularnewline
25 & 87.02 & 87.0745893875379 & -0.054589387537888 \tabularnewline
26 & 87.38 & 87.9403692221154 & -0.560369222115384 \tabularnewline
27 & 87.5 & 88.05174516038 & -0.55174516037998 \tabularnewline
28 & 87.91 & 87.926947413818 & -0.0169474138180306 \tabularnewline
29 & 88.06 & 88.3294282020322 & -0.269428202032188 \tabularnewline
30 & 88.09 & 88.3598885640727 & -0.269888564072716 \tabularnewline
31 & 88.16 & 88.2701446731388 & -0.110144673138834 \tabularnewline
32 & 88.33 & 88.2912757935974 & 0.0387242064026339 \tabularnewline
33 & 88.52 & 88.4784569111594 & 0.0415430888406121 \tabularnewline
34 & 88.96 & 88.686888707691 & 0.273111292309039 \tabularnewline
35 & 89.26 & 89.2480624554984 & 0.0119375445015777 \tabularnewline
36 & 89.34 & 89.5533588934254 & -0.213358893425422 \tabularnewline
37 & 89.09 & 89.5386960308033 & -0.448696030803248 \tabularnewline
38 & 89.25 & 89.0896190200393 & 0.160380979960706 \tabularnewline
39 & 89.31 & 89.3207766944605 & -0.0107766944604606 \tabularnewline
40 & 89.28 & 89.3759953013305 & -0.0959953013305466 \tabularnewline
41 & 89.32 & 89.3034042010659 & 0.0165957989340484 \tabularnewline
42 & 89.47 & 89.3507674087081 & 0.119232591291876 \tabularnewline
43 & 89.59 & 89.5536684067792 & 0.0363315932207797 \tabularnewline
44 & 89.62 & 89.6897879720933 & -0.0697879720932661 \tabularnewline
45 & 89.71 & 89.6888245137209 & 0.0211754862790485 \tabularnewline
46 & 89.9 & 89.7882196325107 & 0.111780367489274 \tabularnewline
47 & 90.04 & 90.0278142353024 & 0.012185764697648 \tabularnewline
48 & 90.05 & 90.1732208033202 & -0.123220803320223 \tabularnewline
49 & 90.18 & 90.1285503192845 & 0.0514496807155211 \tabularnewline
50 & 90.5 & 90.2813774626922 & 0.218622537307823 \tabularnewline
51 & 90.63 & 90.6983756936214 & -0.0683756936213911 \tabularnewline
52 & 90.75 & 90.7980388335634 & -0.0480388335633819 \tabularnewline
53 & 90.76 & 90.8967250114436 & -0.136725011443616 \tabularnewline
54 & 90.67 & 90.8460629937161 & -0.176062993716087 \tabularnewline
55 & 90.5 & 90.6779475389562 & -0.17794753895619 \tabularnewline
56 & 90.8 & 90.4289959510298 & 0.371004048970235 \tabularnewline
57 & 91.22 & 90.8936026602046 & 0.326397339795435 \tabularnewline
58 & 92.19 & 91.4584183088107 & 0.731581691189263 \tabularnewline
59 & 92.51 & 92.7530057493345 & -0.243005749334486 \tabularnewline
60 & 92.67 & 92.9651891990313 & -0.295189199031256 \tabularnewline
61 & 93.75 & 92.9942199474251 & 0.755780052574892 \tabularnewline
62 & 94.1 & 94.4095436929735 & -0.309543692973492 \tabularnewline
63 & 94.96 & 94.6222056537052 & 0.337794346294842 \tabularnewline
64 & 95.21 & 95.6320779148726 & -0.422077914872602 \tabularnewline
65 & 95.33 & 95.6948108034344 & -0.364810803434381 \tabularnewline
66 & 95.43 & 95.652951907308 & -0.222951907307959 \tabularnewline
67 & 95.44 & 95.6540328257829 & -0.214032825782937 \tabularnewline
68 & 95.64 & 95.5690709535195 & 0.0709290464804724 \tabularnewline
69 & 95.8 & 95.8005406826464 & -0.000540682646388291 \tabularnewline
70 & 95.87 & 95.9603007931051 & -0.0903007931050723 \tabularnewline
71 & 95.98 & 95.9902362266127 & -0.0102362266127187 \tabularnewline
72 & 96.07 & 96.0956946277225 & -0.0256946277224728 \tabularnewline
73 & 96.23 & 96.1742944607307 & 0.0557055392692831 \tabularnewline
74 & 96.32 & 96.3590098392485 & -0.0390098392485072 \tabularnewline
75 & 96.55 & 96.4317019923882 & 0.118298007611827 \tabularnewline
76 & 96.73 & 96.7141883352973 & 0.0158116647027242 \tabularnewline
77 & 96.61 & 96.90120363904 & -0.291203639039963 \tabularnewline
78 & 96.64 & 96.6520026967453 & -0.0120026967452844 \tabularnewline
79 & 96.86 & 96.6766773521353 & 0.183322647864699 \tabularnewline
80 & 97.02 & 96.9780137630612 & 0.0419862369387829 \tabularnewline
81 & 97.22 & 97.1566421751023 & 0.0633578248977074 \tabularnewline
82 & 98.1 & 97.3847527121324 & 0.715247287867626 \tabularnewline
83 & 98.46 & 98.5820929207605 & -0.122092920760494 \tabularnewline
84 & 98.6 & 98.8879228545423 & -0.28792285454233 \tabularnewline
85 & 98.78 & 98.9001775274658 & -0.120177527465771 \tabularnewline
86 & 99.13 & 99.0268572810485 & 0.103142718951503 \tabularnewline
87 & 99.48 & 99.4226195404876 & 0.0573804595123732 \tabularnewline
88 & 99.62 & 99.7980780459608 & -0.178078045960788 \tabularnewline
89 & 99.68 & 99.8590685548158 & -0.179068554815757 \tabularnewline
90 & 99.95 & 99.8396195956825 & 0.110380404317496 \tabularnewline
91 & 100.12 & 100.1585930642 & -0.0385930641999437 \tabularnewline
92 & 100.25 & 100.311470131681 & -0.0614701316805935 \tabularnewline
93 & 100.47 & 100.414197124508 & 0.0558028754916222 \tabularnewline
94 & 100.7 & 100.658955689065 & 0.0410443109350922 \tabularnewline
95 & 100.88 & 100.907166188309 & -0.0271661883091383 \tabularnewline
96 & 100.95 & 101.075113120773 & -0.125113120773065 \tabularnewline
97 & 100.92 & 101.089603055203 & -0.169603055203154 \tabularnewline
98 & 101.12 & 100.984353739568 & 0.135646260432281 \tabularnewline
99 & 101.19 & 101.244537138114 & -0.0545371381144548 \tabularnewline
100 & 101.28 & 101.290340154664 & -0.0103401546644051 \tabularnewline
101 & 101.28 & 101.375752445079 & -0.0957524450790572 \tabularnewline
102 & 101.3 & 101.333269095036 & -0.0332690950357062 \tabularnewline
103 & 101.3 & 101.338508295885 & -0.0385082958847107 \tabularnewline
104 & 101.36 & 101.321422973288 & 0.0385770267124599 \tabularnewline
105 & 101.45 & 101.39853879031 & 0.0514612096896769 \tabularnewline
106 & 101.58 & 101.511371048882 & 0.0686289511181428 \tabularnewline
107 & 101.73 & 101.671820273975 & 0.0581797260247043 \tabularnewline
108 & 101.84 & 101.847633397223 & -0.00763339722341527 \tabularnewline
109 & 102.01 & 101.9542466191 & 0.0557533809000574 \tabularnewline
110 & 102.14 & 102.148983223945 & -0.00898322394510842 \tabularnewline
111 & 102.16 & 102.274997556038 & -0.114997556038006 \tabularnewline
112 & 102.32 & 102.243975554216 & 0.0760244457840855 \tabularnewline
113 & 102.41 & 102.437706005062 & -0.0277060050616313 \tabularnewline
114 & 102.4 & 102.515413432163 & -0.115413432163209 \tabularnewline
115 & 102.43 & 102.454206914834 & -0.0242069148335986 \tabularnewline
116 & 102.42 & 102.473466814824 & -0.0534668148236648 \tabularnewline
117 & 102.3 & 102.439744711352 & -0.13974471135171 \tabularnewline
118 & 102.65 & 102.257742916158 & 0.392257083841741 \tabularnewline
119 & 102.72 & 102.781779150806 & -0.0617791508056058 \tabularnewline
120 & 102.86 & 102.824369038334 & 0.0356309616660866 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]76.51[/C][C]76.63[/C][C]-0.120000000000005[/C][/ROW]
[ROW][C]4[/C][C]76.75[/C][C]76.776758518793[/C][C]-0.0267585187929882[/C][/ROW]
[ROW][C]5[/C][C]77.23[/C][C]77.0048863256643[/C][C]0.225113674335716[/C][/ROW]
[ROW][C]6[/C][C]77.22[/C][C]77.5847645378442[/C][C]-0.364764537844195[/C][/ROW]
[ROW][C]7[/C][C]77.25[/C][C]77.412926168789[/C][C]-0.162926168789028[/C][/ROW]
[ROW][C]8[/C][C]77.36[/C][C]77.3706392475081[/C][C]-0.0106392475080952[/C][/ROW]
[ROW][C]9[/C][C]77.57[/C][C]77.4759188367059[/C][C]0.0940811632940637[/C][/ROW]
[ROW][C]10[/C][C]77.88[/C][C]77.7276606741014[/C][C]0.152339325898609[/C][/ROW]
[ROW][C]11[/C][C]78.29[/C][C]78.1052504354091[/C][C]0.184749564590945[/C][/ROW]
[ROW][C]12[/C][C]78.42[/C][C]78.5972199393355[/C][C]-0.177219939335515[/C][/ROW]
[ROW][C]13[/C][C]78.96[/C][C]78.6485911720885[/C][C]0.311408827911492[/C][/ROW]
[ROW][C]14[/C][C]79.85[/C][C]79.3267567325797[/C][C]0.523243267420256[/C][/ROW]
[ROW][C]15[/C][C]80.05[/C][C]80.4489087874885[/C][C]-0.398908787488537[/C][/ROW]
[ROW][C]16[/C][C]80.16[/C][C]80.471921331552[/C][C]-0.311921331551986[/C][/ROW]
[ROW][C]17[/C][C]80.29[/C][C]80.4435283839529[/C][C]-0.153528383952874[/C][/ROW]
[ROW][C]18[/C][C]80.36[/C][C]80.5054110625448[/C][C]-0.145411062544795[/C][/ROW]
[ROW][C]19[/C][C]80.48[/C][C]80.5108952262634[/C][C]-0.0308952262633539[/C][/ROW]
[ROW][C]20[/C][C]80.95[/C][C]80.6171876628593[/C][C]0.332812337140695[/C][/ROW]
[ROW][C]21[/C][C]82.3[/C][C]81.2348495111371[/C][C]1.06515048886286[/C][/ROW]
[ROW][C]22[/C][C]84.81[/C][C]83.0574344255991[/C][C]1.75256557440088[/C][/ROW]
[ROW][C]23[/C][C]85.4[/C][C]86.3450109847119[/C][C]-0.945010984711885[/C][/ROW]
[ROW][C]24[/C][C]86.13[/C][C]86.5157294465205[/C][C]-0.385729446520529[/C][/ROW]
[ROW][C]25[/C][C]87.02[/C][C]87.0745893875379[/C][C]-0.054589387537888[/C][/ROW]
[ROW][C]26[/C][C]87.38[/C][C]87.9403692221154[/C][C]-0.560369222115384[/C][/ROW]
[ROW][C]27[/C][C]87.5[/C][C]88.05174516038[/C][C]-0.55174516037998[/C][/ROW]
[ROW][C]28[/C][C]87.91[/C][C]87.926947413818[/C][C]-0.0169474138180306[/C][/ROW]
[ROW][C]29[/C][C]88.06[/C][C]88.3294282020322[/C][C]-0.269428202032188[/C][/ROW]
[ROW][C]30[/C][C]88.09[/C][C]88.3598885640727[/C][C]-0.269888564072716[/C][/ROW]
[ROW][C]31[/C][C]88.16[/C][C]88.2701446731388[/C][C]-0.110144673138834[/C][/ROW]
[ROW][C]32[/C][C]88.33[/C][C]88.2912757935974[/C][C]0.0387242064026339[/C][/ROW]
[ROW][C]33[/C][C]88.52[/C][C]88.4784569111594[/C][C]0.0415430888406121[/C][/ROW]
[ROW][C]34[/C][C]88.96[/C][C]88.686888707691[/C][C]0.273111292309039[/C][/ROW]
[ROW][C]35[/C][C]89.26[/C][C]89.2480624554984[/C][C]0.0119375445015777[/C][/ROW]
[ROW][C]36[/C][C]89.34[/C][C]89.5533588934254[/C][C]-0.213358893425422[/C][/ROW]
[ROW][C]37[/C][C]89.09[/C][C]89.5386960308033[/C][C]-0.448696030803248[/C][/ROW]
[ROW][C]38[/C][C]89.25[/C][C]89.0896190200393[/C][C]0.160380979960706[/C][/ROW]
[ROW][C]39[/C][C]89.31[/C][C]89.3207766944605[/C][C]-0.0107766944604606[/C][/ROW]
[ROW][C]40[/C][C]89.28[/C][C]89.3759953013305[/C][C]-0.0959953013305466[/C][/ROW]
[ROW][C]41[/C][C]89.32[/C][C]89.3034042010659[/C][C]0.0165957989340484[/C][/ROW]
[ROW][C]42[/C][C]89.47[/C][C]89.3507674087081[/C][C]0.119232591291876[/C][/ROW]
[ROW][C]43[/C][C]89.59[/C][C]89.5536684067792[/C][C]0.0363315932207797[/C][/ROW]
[ROW][C]44[/C][C]89.62[/C][C]89.6897879720933[/C][C]-0.0697879720932661[/C][/ROW]
[ROW][C]45[/C][C]89.71[/C][C]89.6888245137209[/C][C]0.0211754862790485[/C][/ROW]
[ROW][C]46[/C][C]89.9[/C][C]89.7882196325107[/C][C]0.111780367489274[/C][/ROW]
[ROW][C]47[/C][C]90.04[/C][C]90.0278142353024[/C][C]0.012185764697648[/C][/ROW]
[ROW][C]48[/C][C]90.05[/C][C]90.1732208033202[/C][C]-0.123220803320223[/C][/ROW]
[ROW][C]49[/C][C]90.18[/C][C]90.1285503192845[/C][C]0.0514496807155211[/C][/ROW]
[ROW][C]50[/C][C]90.5[/C][C]90.2813774626922[/C][C]0.218622537307823[/C][/ROW]
[ROW][C]51[/C][C]90.63[/C][C]90.6983756936214[/C][C]-0.0683756936213911[/C][/ROW]
[ROW][C]52[/C][C]90.75[/C][C]90.7980388335634[/C][C]-0.0480388335633819[/C][/ROW]
[ROW][C]53[/C][C]90.76[/C][C]90.8967250114436[/C][C]-0.136725011443616[/C][/ROW]
[ROW][C]54[/C][C]90.67[/C][C]90.8460629937161[/C][C]-0.176062993716087[/C][/ROW]
[ROW][C]55[/C][C]90.5[/C][C]90.6779475389562[/C][C]-0.17794753895619[/C][/ROW]
[ROW][C]56[/C][C]90.8[/C][C]90.4289959510298[/C][C]0.371004048970235[/C][/ROW]
[ROW][C]57[/C][C]91.22[/C][C]90.8936026602046[/C][C]0.326397339795435[/C][/ROW]
[ROW][C]58[/C][C]92.19[/C][C]91.4584183088107[/C][C]0.731581691189263[/C][/ROW]
[ROW][C]59[/C][C]92.51[/C][C]92.7530057493345[/C][C]-0.243005749334486[/C][/ROW]
[ROW][C]60[/C][C]92.67[/C][C]92.9651891990313[/C][C]-0.295189199031256[/C][/ROW]
[ROW][C]61[/C][C]93.75[/C][C]92.9942199474251[/C][C]0.755780052574892[/C][/ROW]
[ROW][C]62[/C][C]94.1[/C][C]94.4095436929735[/C][C]-0.309543692973492[/C][/ROW]
[ROW][C]63[/C][C]94.96[/C][C]94.6222056537052[/C][C]0.337794346294842[/C][/ROW]
[ROW][C]64[/C][C]95.21[/C][C]95.6320779148726[/C][C]-0.422077914872602[/C][/ROW]
[ROW][C]65[/C][C]95.33[/C][C]95.6948108034344[/C][C]-0.364810803434381[/C][/ROW]
[ROW][C]66[/C][C]95.43[/C][C]95.652951907308[/C][C]-0.222951907307959[/C][/ROW]
[ROW][C]67[/C][C]95.44[/C][C]95.6540328257829[/C][C]-0.214032825782937[/C][/ROW]
[ROW][C]68[/C][C]95.64[/C][C]95.5690709535195[/C][C]0.0709290464804724[/C][/ROW]
[ROW][C]69[/C][C]95.8[/C][C]95.8005406826464[/C][C]-0.000540682646388291[/C][/ROW]
[ROW][C]70[/C][C]95.87[/C][C]95.9603007931051[/C][C]-0.0903007931050723[/C][/ROW]
[ROW][C]71[/C][C]95.98[/C][C]95.9902362266127[/C][C]-0.0102362266127187[/C][/ROW]
[ROW][C]72[/C][C]96.07[/C][C]96.0956946277225[/C][C]-0.0256946277224728[/C][/ROW]
[ROW][C]73[/C][C]96.23[/C][C]96.1742944607307[/C][C]0.0557055392692831[/C][/ROW]
[ROW][C]74[/C][C]96.32[/C][C]96.3590098392485[/C][C]-0.0390098392485072[/C][/ROW]
[ROW][C]75[/C][C]96.55[/C][C]96.4317019923882[/C][C]0.118298007611827[/C][/ROW]
[ROW][C]76[/C][C]96.73[/C][C]96.7141883352973[/C][C]0.0158116647027242[/C][/ROW]
[ROW][C]77[/C][C]96.61[/C][C]96.90120363904[/C][C]-0.291203639039963[/C][/ROW]
[ROW][C]78[/C][C]96.64[/C][C]96.6520026967453[/C][C]-0.0120026967452844[/C][/ROW]
[ROW][C]79[/C][C]96.86[/C][C]96.6766773521353[/C][C]0.183322647864699[/C][/ROW]
[ROW][C]80[/C][C]97.02[/C][C]96.9780137630612[/C][C]0.0419862369387829[/C][/ROW]
[ROW][C]81[/C][C]97.22[/C][C]97.1566421751023[/C][C]0.0633578248977074[/C][/ROW]
[ROW][C]82[/C][C]98.1[/C][C]97.3847527121324[/C][C]0.715247287867626[/C][/ROW]
[ROW][C]83[/C][C]98.46[/C][C]98.5820929207605[/C][C]-0.122092920760494[/C][/ROW]
[ROW][C]84[/C][C]98.6[/C][C]98.8879228545423[/C][C]-0.28792285454233[/C][/ROW]
[ROW][C]85[/C][C]98.78[/C][C]98.9001775274658[/C][C]-0.120177527465771[/C][/ROW]
[ROW][C]86[/C][C]99.13[/C][C]99.0268572810485[/C][C]0.103142718951503[/C][/ROW]
[ROW][C]87[/C][C]99.48[/C][C]99.4226195404876[/C][C]0.0573804595123732[/C][/ROW]
[ROW][C]88[/C][C]99.62[/C][C]99.7980780459608[/C][C]-0.178078045960788[/C][/ROW]
[ROW][C]89[/C][C]99.68[/C][C]99.8590685548158[/C][C]-0.179068554815757[/C][/ROW]
[ROW][C]90[/C][C]99.95[/C][C]99.8396195956825[/C][C]0.110380404317496[/C][/ROW]
[ROW][C]91[/C][C]100.12[/C][C]100.1585930642[/C][C]-0.0385930641999437[/C][/ROW]
[ROW][C]92[/C][C]100.25[/C][C]100.311470131681[/C][C]-0.0614701316805935[/C][/ROW]
[ROW][C]93[/C][C]100.47[/C][C]100.414197124508[/C][C]0.0558028754916222[/C][/ROW]
[ROW][C]94[/C][C]100.7[/C][C]100.658955689065[/C][C]0.0410443109350922[/C][/ROW]
[ROW][C]95[/C][C]100.88[/C][C]100.907166188309[/C][C]-0.0271661883091383[/C][/ROW]
[ROW][C]96[/C][C]100.95[/C][C]101.075113120773[/C][C]-0.125113120773065[/C][/ROW]
[ROW][C]97[/C][C]100.92[/C][C]101.089603055203[/C][C]-0.169603055203154[/C][/ROW]
[ROW][C]98[/C][C]101.12[/C][C]100.984353739568[/C][C]0.135646260432281[/C][/ROW]
[ROW][C]99[/C][C]101.19[/C][C]101.244537138114[/C][C]-0.0545371381144548[/C][/ROW]
[ROW][C]100[/C][C]101.28[/C][C]101.290340154664[/C][C]-0.0103401546644051[/C][/ROW]
[ROW][C]101[/C][C]101.28[/C][C]101.375752445079[/C][C]-0.0957524450790572[/C][/ROW]
[ROW][C]102[/C][C]101.3[/C][C]101.333269095036[/C][C]-0.0332690950357062[/C][/ROW]
[ROW][C]103[/C][C]101.3[/C][C]101.338508295885[/C][C]-0.0385082958847107[/C][/ROW]
[ROW][C]104[/C][C]101.36[/C][C]101.321422973288[/C][C]0.0385770267124599[/C][/ROW]
[ROW][C]105[/C][C]101.45[/C][C]101.39853879031[/C][C]0.0514612096896769[/C][/ROW]
[ROW][C]106[/C][C]101.58[/C][C]101.511371048882[/C][C]0.0686289511181428[/C][/ROW]
[ROW][C]107[/C][C]101.73[/C][C]101.671820273975[/C][C]0.0581797260247043[/C][/ROW]
[ROW][C]108[/C][C]101.84[/C][C]101.847633397223[/C][C]-0.00763339722341527[/C][/ROW]
[ROW][C]109[/C][C]102.01[/C][C]101.9542466191[/C][C]0.0557533809000574[/C][/ROW]
[ROW][C]110[/C][C]102.14[/C][C]102.148983223945[/C][C]-0.00898322394510842[/C][/ROW]
[ROW][C]111[/C][C]102.16[/C][C]102.274997556038[/C][C]-0.114997556038006[/C][/ROW]
[ROW][C]112[/C][C]102.32[/C][C]102.243975554216[/C][C]0.0760244457840855[/C][/ROW]
[ROW][C]113[/C][C]102.41[/C][C]102.437706005062[/C][C]-0.0277060050616313[/C][/ROW]
[ROW][C]114[/C][C]102.4[/C][C]102.515413432163[/C][C]-0.115413432163209[/C][/ROW]
[ROW][C]115[/C][C]102.43[/C][C]102.454206914834[/C][C]-0.0242069148335986[/C][/ROW]
[ROW][C]116[/C][C]102.42[/C][C]102.473466814824[/C][C]-0.0534668148236648[/C][/ROW]
[ROW][C]117[/C][C]102.3[/C][C]102.439744711352[/C][C]-0.13974471135171[/C][/ROW]
[ROW][C]118[/C][C]102.65[/C][C]102.257742916158[/C][C]0.392257083841741[/C][/ROW]
[ROW][C]119[/C][C]102.72[/C][C]102.781779150806[/C][C]-0.0617791508056058[/C][/ROW]
[ROW][C]120[/C][C]102.86[/C][C]102.824369038334[/C][C]0.0356309616660866[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
376.5176.63-0.120000000000005
476.7576.776758518793-0.0267585187929882
577.2377.00488632566430.225113674335716
677.2277.5847645378442-0.364764537844195
777.2577.412926168789-0.162926168789028
877.3677.3706392475081-0.0106392475080952
977.5777.47591883670590.0940811632940637
1077.8877.72766067410140.152339325898609
1178.2978.10525043540910.184749564590945
1278.4278.5972199393355-0.177219939335515
1378.9678.64859117208850.311408827911492
1479.8579.32675673257970.523243267420256
1580.0580.4489087874885-0.398908787488537
1680.1680.471921331552-0.311921331551986
1780.2980.4435283839529-0.153528383952874
1880.3680.5054110625448-0.145411062544795
1980.4880.5108952262634-0.0308952262633539
2080.9580.61718766285930.332812337140695
2182.381.23484951113711.06515048886286
2284.8183.05743442559911.75256557440088
2385.486.3450109847119-0.945010984711885
2486.1386.5157294465205-0.385729446520529
2587.0287.0745893875379-0.054589387537888
2687.3887.9403692221154-0.560369222115384
2787.588.05174516038-0.55174516037998
2887.9187.926947413818-0.0169474138180306
2988.0688.3294282020322-0.269428202032188
3088.0988.3598885640727-0.269888564072716
3188.1688.2701446731388-0.110144673138834
3288.3388.29127579359740.0387242064026339
3388.5288.47845691115940.0415430888406121
3488.9688.6868887076910.273111292309039
3589.2689.24806245549840.0119375445015777
3689.3489.5533588934254-0.213358893425422
3789.0989.5386960308033-0.448696030803248
3889.2589.08961902003930.160380979960706
3989.3189.3207766944605-0.0107766944604606
4089.2889.3759953013305-0.0959953013305466
4189.3289.30340420106590.0165957989340484
4289.4789.35076740870810.119232591291876
4389.5989.55366840677920.0363315932207797
4489.6289.6897879720933-0.0697879720932661
4589.7189.68882451372090.0211754862790485
4689.989.78821963251070.111780367489274
4790.0490.02781423530240.012185764697648
4890.0590.1732208033202-0.123220803320223
4990.1890.12855031928450.0514496807155211
5090.590.28137746269220.218622537307823
5190.6390.6983756936214-0.0683756936213911
5290.7590.7980388335634-0.0480388335633819
5390.7690.8967250114436-0.136725011443616
5490.6790.8460629937161-0.176062993716087
5590.590.6779475389562-0.17794753895619
5690.890.42899595102980.371004048970235
5791.2290.89360266020460.326397339795435
5892.1991.45841830881070.731581691189263
5992.5192.7530057493345-0.243005749334486
6092.6792.9651891990313-0.295189199031256
6193.7592.99421994742510.755780052574892
6294.194.4095436929735-0.309543692973492
6394.9694.62220565370520.337794346294842
6495.2195.6320779148726-0.422077914872602
6595.3395.6948108034344-0.364810803434381
6695.4395.652951907308-0.222951907307959
6795.4495.6540328257829-0.214032825782937
6895.6495.56907095351950.0709290464804724
6995.895.8005406826464-0.000540682646388291
7095.8795.9603007931051-0.0903007931050723
7195.9895.9902362266127-0.0102362266127187
7296.0796.0956946277225-0.0256946277224728
7396.2396.17429446073070.0557055392692831
7496.3296.3590098392485-0.0390098392485072
7596.5596.43170199238820.118298007611827
7696.7396.71418833529730.0158116647027242
7796.6196.90120363904-0.291203639039963
7896.6496.6520026967453-0.0120026967452844
7996.8696.67667735213530.183322647864699
8097.0296.97801376306120.0419862369387829
8197.2297.15664217510230.0633578248977074
8298.197.38475271213240.715247287867626
8398.4698.5820929207605-0.122092920760494
8498.698.8879228545423-0.28792285454233
8598.7898.9001775274658-0.120177527465771
8699.1399.02685728104850.103142718951503
8799.4899.42261954048760.0573804595123732
8899.6299.7980780459608-0.178078045960788
8999.6899.8590685548158-0.179068554815757
9099.9599.83961959568250.110380404317496
91100.12100.1585930642-0.0385930641999437
92100.25100.311470131681-0.0614701316805935
93100.47100.4141971245080.0558028754916222
94100.7100.6589556890650.0410443109350922
95100.88100.907166188309-0.0271661883091383
96100.95101.075113120773-0.125113120773065
97100.92101.089603055203-0.169603055203154
98101.12100.9843537395680.135646260432281
99101.19101.244537138114-0.0545371381144548
100101.28101.290340154664-0.0103401546644051
101101.28101.375752445079-0.0957524450790572
102101.3101.333269095036-0.0332690950357062
103101.3101.338508295885-0.0385082958847107
104101.36101.3214229732880.0385770267124599
105101.45101.398538790310.0514612096896769
106101.58101.5113710488820.0686289511181428
107101.73101.6718202739750.0581797260247043
108101.84101.847633397223-0.00763339722341527
109102.01101.95424661910.0557533809000574
110102.14102.148983223945-0.00898322394510842
111102.16102.274997556038-0.114997556038006
112102.32102.2439755542160.0760244457840855
113102.41102.437706005062-0.0277060050616313
114102.4102.515413432163-0.115413432163209
115102.43102.454206914834-0.0242069148335986
116102.42102.473466814824-0.0534668148236648
117102.3102.439744711352-0.13974471135171
118102.65102.2577429161580.392257083841741
119102.72102.781779150806-0.0617791508056058
120102.86102.8243690383340.0356309616660866







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121102.980177748133102.379673647205103.580681849062
122103.100355496267102.045755213118104.154955779416
123103.2205332444101.672405093764104.768661395036
124103.340710992533101.25357581704105.427846168027
125103.460888740667100.79022399345106.131553487883
126103.5810664888100.284458740015106.877674237585
127103.70124423693399.7384647026174107.66402377125
128103.82142198506799.1542581587601108.488585811374
129103.941599733298.5336441762305109.34955529017
130104.06177748133497.8782276888481110.245327273819
131104.18195522946797.1894375572418111.174472901692
132104.302132977696.4685513949721112.135714560228

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 102.980177748133 & 102.379673647205 & 103.580681849062 \tabularnewline
122 & 103.100355496267 & 102.045755213118 & 104.154955779416 \tabularnewline
123 & 103.2205332444 & 101.672405093764 & 104.768661395036 \tabularnewline
124 & 103.340710992533 & 101.25357581704 & 105.427846168027 \tabularnewline
125 & 103.460888740667 & 100.79022399345 & 106.131553487883 \tabularnewline
126 & 103.5810664888 & 100.284458740015 & 106.877674237585 \tabularnewline
127 & 103.701244236933 & 99.7384647026174 & 107.66402377125 \tabularnewline
128 & 103.821421985067 & 99.1542581587601 & 108.488585811374 \tabularnewline
129 & 103.9415997332 & 98.5336441762305 & 109.34955529017 \tabularnewline
130 & 104.061777481334 & 97.8782276888481 & 110.245327273819 \tabularnewline
131 & 104.181955229467 & 97.1894375572418 & 111.174472901692 \tabularnewline
132 & 104.3021329776 & 96.4685513949721 & 112.135714560228 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]121[/C][C]102.980177748133[/C][C]102.379673647205[/C][C]103.580681849062[/C][/ROW]
[ROW][C]122[/C][C]103.100355496267[/C][C]102.045755213118[/C][C]104.154955779416[/C][/ROW]
[ROW][C]123[/C][C]103.2205332444[/C][C]101.672405093764[/C][C]104.768661395036[/C][/ROW]
[ROW][C]124[/C][C]103.340710992533[/C][C]101.25357581704[/C][C]105.427846168027[/C][/ROW]
[ROW][C]125[/C][C]103.460888740667[/C][C]100.79022399345[/C][C]106.131553487883[/C][/ROW]
[ROW][C]126[/C][C]103.5810664888[/C][C]100.284458740015[/C][C]106.877674237585[/C][/ROW]
[ROW][C]127[/C][C]103.701244236933[/C][C]99.7384647026174[/C][C]107.66402377125[/C][/ROW]
[ROW][C]128[/C][C]103.821421985067[/C][C]99.1542581587601[/C][C]108.488585811374[/C][/ROW]
[ROW][C]129[/C][C]103.9415997332[/C][C]98.5336441762305[/C][C]109.34955529017[/C][/ROW]
[ROW][C]130[/C][C]104.061777481334[/C][C]97.8782276888481[/C][C]110.245327273819[/C][/ROW]
[ROW][C]131[/C][C]104.181955229467[/C][C]97.1894375572418[/C][C]111.174472901692[/C][/ROW]
[ROW][C]132[/C][C]104.3021329776[/C][C]96.4685513949721[/C][C]112.135714560228[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
121102.980177748133102.379673647205103.580681849062
122103.100355496267102.045755213118104.154955779416
123103.2205332444101.672405093764104.768661395036
124103.340710992533101.25357581704105.427846168027
125103.460888740667100.79022399345106.131553487883
126103.5810664888100.284458740015106.877674237585
127103.70124423693399.7384647026174107.66402377125
128103.82142198506799.1542581587601108.488585811374
129103.941599733298.5336441762305109.34955529017
130104.06177748133497.8782276888481110.245327273819
131104.18195522946797.1894375572418111.174472901692
132104.302132977696.4685513949721112.135714560228



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')