Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 18 Dec 2010 10:29:09 +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/2010/Dec/18/t12926681307jdn3ie1xg1oukc.htm/, Retrieved Tue, 30 Apr 2024 02:40:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111828, Retrieved Tue, 30 Apr 2024 02:40:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact171
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Eigen reeks (Opga...] [2010-12-18 10:29:09] [1757923712b2aedbf315e1364d6f70a4] [Current]
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Dataseries X:
98.4
96.5
97.4
99.2
100.8
101.8
102.7
100
100.8
101.7
99
101.7
100.2
101.2
99.5
100.8
100.7
99.5
99.4
101.1
97.2
98.1
97.8
95.5
96.3
93.6
96.7
95.1
97.7
96.5
98.1
97.3
97
93.7
95.6
94.6
95.1
94.5
93.6
92.1
95.9
98.1
98.2
96.2
94.1
95
93.4
95.4
93.5
94.5
94.3
95.7
98.4
99.4
99.2
99
99.4
99.3
98.6
98.7
96
98.7
100.1
100
101.5
101.5
103.8
104.1
101
104.9
104.4
105.6
103.4
101.7
103.5
101.2
105.4
105.4
108.6
110.6
110.2
106.2
108.6
107.5
106.9
108.4
109.9
108.6
106.5
105.7
105.6
104.2
105.1
102.7
108.3
104.2
105.4
104.6
106.4
111
111.7
113.8
115.9
117.3
113.6
113.6
114.6
113.2
112.8
109.6
111.1
109.7
113
111
113.3
111.8
107.2
106.4
110
108.2
108.2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111828&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111828&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111828&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.727358642373541
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.727358642373541 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111828&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]0.727358642373541[/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=111828&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111828&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
alpha0.727358642373541
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
296.598.4-1.90000000000001
397.497.01801857949030.381981420509732
499.297.29585606692411.90414393307586
5100.898.680851612972.11914838702998
6101.8100.2222325067481.57776749325177
7102.7101.3698353286211.33016467137907
8100102.337342098128-2.33734209812846
9100.8100.6372561228710.162743877128776
10101.7100.7556292883940.944370711605785
1199101.442525487085-2.44252548708513
12101.799.66593346483612.03406653516389
13100.2101.145429338350-0.945429338350365
14101.2100.4577631383480.742236861652273
1599.5100.997635534359-1.49763553435872
16100.899.90831738531720.891682614682807
17100.7100.5568904413610.143109558639040
1899.5100.660982415643-1.16098241564333
1999.499.8165318219814-0.416531821981437
20101.199.51356380143961.58643619856035
2197.2100.667471881037-3.46747188103674
2298.198.1453762411774-0.0453762411774363
2397.898.1123714399986-0.3123714399986
2495.597.885165373485-2.38516537348495
2596.396.15029472559060.149705274409442
2693.696.2591841507412-2.65918415074117
2796.794.32500357703682.37499642296318
2895.196.0524777508853-0.95247775088535
2997.795.35968482711042.34031517288963
3096.597.0619332939896-0.561933293989568
3198.196.65320625616881.44679374383117
3297.397.7055441894764-0.405544189476402
339797.4105681183964-0.41056811839637
3493.797.1119378491977-3.41193784919773
3595.694.63023536734240.969764632657629
3694.695.3356020539741-0.735602053974105
3795.194.80055554266830.299444457331688
3894.595.0183590566194-0.51835905661936
3993.694.6413261169347-1.04132611693468
4092.193.883908566253-1.78390856625296
4195.992.58636725338473.31363274661534
4298.194.99656666928733.10343333071269
4398.297.25387572341130.94612427658872
4496.297.9420473927475-1.74204739274749
4594.196.6749541662083-2.57495416620831
469594.8020389997010.197961000299060
4793.494.9460276441214-1.54602764412137
4895.493.82151107582131.57848892417871
4993.594.9696386367136-1.46963863671360
5094.593.90068427313390.599315726866109
5194.394.3366017465803-0.0366017465803452
5295.794.30997914987921.39002085012083
5398.495.3210228282943.07897717170603
5499.497.56054348380521.8394565161948
5599.298.89848807812980.301511921870187
569999.1177953802808-0.117795380280754
5799.499.03211589240190.367884107598130
5899.399.29969957745530.000300422544739831
5998.699.2999180923895-0.699918092389538
6098.798.7908266189364-0.09082661893639
619698.7247630926954-2.72476309269544
6298.796.7428831088031.95711689119705
63100.198.16640899375041.93359100624963
6410099.57282312296180.427176877038221
65101.599.88353391629771.61646608370233
66101.5101.0592844923820.440715507617725
67103.8101.3798427256762.42015727432393
68104.1103.1401650350590.959834964941223
69101103.838309292061-2.83830929206107
70104.9101.7738404987513.12615950124868
71104.4104.0476796294230.352320370577289
72105.6104.3039428958461.29605710415363
73103.4105.246641231562-1.84664123156213
74101.7103.903470772422-2.20347077242209
75103.5102.3007572628831.19924273711662
76101.2103.173036832029-1.97303683202885
77105.4101.7379314405313.66206855946865
78105.4104.4015686562250.998431343774698
79108.6105.1277863229363.47221367706354
80110.6107.6533309491162.94666905088376
81110.2109.7966161494910.403383850508817
82106.2110.090020879353-3.89002087935269
83108.6107.2605805737421.33941942625800
84107.5108.234818869194-0.73481886919376
85106.9107.700342014107-0.800342014106519
86108.4107.1182063332911.28179366670851
87109.9108.0505300345121.84946996548841
88108.6109.395757997720-0.795757997719889
89106.5108.816956540840-2.31695654084045
90105.7107.131698176856-1.43169817685624
91105.6106.090340134649-0.490340134649415
92104.2105.733687000010-1.53368700000955
93105.1104.6181465058570.481853494143337
94102.7104.968626809180-2.26862680917969
95108.3103.3185214932034.98147850679746
96104.2106.941842936920-2.74184293691971
97105.4104.9475397807200.452460219279700
98104.6105.276640631544-0.676640631543634
99106.4104.7844802204091.61551977959073
100111105.959542494025.04045750598
101111.7109.6257628225112.07423717748887
102113.8111.1344771598902.66552284010983
103115.9113.0732682340882.82673176591189
104117.3115.1293160136962.17068398630404
105113.6116.708181770996-3.10818177099605
106113.6114.447418897794-0.84741889779417
107114.6113.8310414387730.76895856122708
108113.2114.390350093909-1.19035009390855
109112.8113.524538665654-0.724538665654009
110109.6112.997539205457-3.39753920545678
111111.1110.5263097015650.573690298435139
112109.7110.943588298178-1.24358829817751
113113110.0390536019432.96094639805651
114111112.192723554175-1.19272355417471
115113.3111.3251857690831.97481423091675
116111.8112.761583967023-0.961583967022804
117107.2112.062167558241-4.86216755824093
118106.4108.525627964086-2.12562796408612
119110106.9795340939373.02046590606280
120108.2109.176496074707-0.976496074706603
121108.2108.466233215525-0.266233215524920

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 96.5 & 98.4 & -1.90000000000001 \tabularnewline
3 & 97.4 & 97.0180185794903 & 0.381981420509732 \tabularnewline
4 & 99.2 & 97.2958560669241 & 1.90414393307586 \tabularnewline
5 & 100.8 & 98.68085161297 & 2.11914838702998 \tabularnewline
6 & 101.8 & 100.222232506748 & 1.57776749325177 \tabularnewline
7 & 102.7 & 101.369835328621 & 1.33016467137907 \tabularnewline
8 & 100 & 102.337342098128 & -2.33734209812846 \tabularnewline
9 & 100.8 & 100.637256122871 & 0.162743877128776 \tabularnewline
10 & 101.7 & 100.755629288394 & 0.944370711605785 \tabularnewline
11 & 99 & 101.442525487085 & -2.44252548708513 \tabularnewline
12 & 101.7 & 99.6659334648361 & 2.03406653516389 \tabularnewline
13 & 100.2 & 101.145429338350 & -0.945429338350365 \tabularnewline
14 & 101.2 & 100.457763138348 & 0.742236861652273 \tabularnewline
15 & 99.5 & 100.997635534359 & -1.49763553435872 \tabularnewline
16 & 100.8 & 99.9083173853172 & 0.891682614682807 \tabularnewline
17 & 100.7 & 100.556890441361 & 0.143109558639040 \tabularnewline
18 & 99.5 & 100.660982415643 & -1.16098241564333 \tabularnewline
19 & 99.4 & 99.8165318219814 & -0.416531821981437 \tabularnewline
20 & 101.1 & 99.5135638014396 & 1.58643619856035 \tabularnewline
21 & 97.2 & 100.667471881037 & -3.46747188103674 \tabularnewline
22 & 98.1 & 98.1453762411774 & -0.0453762411774363 \tabularnewline
23 & 97.8 & 98.1123714399986 & -0.3123714399986 \tabularnewline
24 & 95.5 & 97.885165373485 & -2.38516537348495 \tabularnewline
25 & 96.3 & 96.1502947255906 & 0.149705274409442 \tabularnewline
26 & 93.6 & 96.2591841507412 & -2.65918415074117 \tabularnewline
27 & 96.7 & 94.3250035770368 & 2.37499642296318 \tabularnewline
28 & 95.1 & 96.0524777508853 & -0.95247775088535 \tabularnewline
29 & 97.7 & 95.3596848271104 & 2.34031517288963 \tabularnewline
30 & 96.5 & 97.0619332939896 & -0.561933293989568 \tabularnewline
31 & 98.1 & 96.6532062561688 & 1.44679374383117 \tabularnewline
32 & 97.3 & 97.7055441894764 & -0.405544189476402 \tabularnewline
33 & 97 & 97.4105681183964 & -0.41056811839637 \tabularnewline
34 & 93.7 & 97.1119378491977 & -3.41193784919773 \tabularnewline
35 & 95.6 & 94.6302353673424 & 0.969764632657629 \tabularnewline
36 & 94.6 & 95.3356020539741 & -0.735602053974105 \tabularnewline
37 & 95.1 & 94.8005555426683 & 0.299444457331688 \tabularnewline
38 & 94.5 & 95.0183590566194 & -0.51835905661936 \tabularnewline
39 & 93.6 & 94.6413261169347 & -1.04132611693468 \tabularnewline
40 & 92.1 & 93.883908566253 & -1.78390856625296 \tabularnewline
41 & 95.9 & 92.5863672533847 & 3.31363274661534 \tabularnewline
42 & 98.1 & 94.9965666692873 & 3.10343333071269 \tabularnewline
43 & 98.2 & 97.2538757234113 & 0.94612427658872 \tabularnewline
44 & 96.2 & 97.9420473927475 & -1.74204739274749 \tabularnewline
45 & 94.1 & 96.6749541662083 & -2.57495416620831 \tabularnewline
46 & 95 & 94.802038999701 & 0.197961000299060 \tabularnewline
47 & 93.4 & 94.9460276441214 & -1.54602764412137 \tabularnewline
48 & 95.4 & 93.8215110758213 & 1.57848892417871 \tabularnewline
49 & 93.5 & 94.9696386367136 & -1.46963863671360 \tabularnewline
50 & 94.5 & 93.9006842731339 & 0.599315726866109 \tabularnewline
51 & 94.3 & 94.3366017465803 & -0.0366017465803452 \tabularnewline
52 & 95.7 & 94.3099791498792 & 1.39002085012083 \tabularnewline
53 & 98.4 & 95.321022828294 & 3.07897717170603 \tabularnewline
54 & 99.4 & 97.5605434838052 & 1.8394565161948 \tabularnewline
55 & 99.2 & 98.8984880781298 & 0.301511921870187 \tabularnewline
56 & 99 & 99.1177953802808 & -0.117795380280754 \tabularnewline
57 & 99.4 & 99.0321158924019 & 0.367884107598130 \tabularnewline
58 & 99.3 & 99.2996995774553 & 0.000300422544739831 \tabularnewline
59 & 98.6 & 99.2999180923895 & -0.699918092389538 \tabularnewline
60 & 98.7 & 98.7908266189364 & -0.09082661893639 \tabularnewline
61 & 96 & 98.7247630926954 & -2.72476309269544 \tabularnewline
62 & 98.7 & 96.742883108803 & 1.95711689119705 \tabularnewline
63 & 100.1 & 98.1664089937504 & 1.93359100624963 \tabularnewline
64 & 100 & 99.5728231229618 & 0.427176877038221 \tabularnewline
65 & 101.5 & 99.8835339162977 & 1.61646608370233 \tabularnewline
66 & 101.5 & 101.059284492382 & 0.440715507617725 \tabularnewline
67 & 103.8 & 101.379842725676 & 2.42015727432393 \tabularnewline
68 & 104.1 & 103.140165035059 & 0.959834964941223 \tabularnewline
69 & 101 & 103.838309292061 & -2.83830929206107 \tabularnewline
70 & 104.9 & 101.773840498751 & 3.12615950124868 \tabularnewline
71 & 104.4 & 104.047679629423 & 0.352320370577289 \tabularnewline
72 & 105.6 & 104.303942895846 & 1.29605710415363 \tabularnewline
73 & 103.4 & 105.246641231562 & -1.84664123156213 \tabularnewline
74 & 101.7 & 103.903470772422 & -2.20347077242209 \tabularnewline
75 & 103.5 & 102.300757262883 & 1.19924273711662 \tabularnewline
76 & 101.2 & 103.173036832029 & -1.97303683202885 \tabularnewline
77 & 105.4 & 101.737931440531 & 3.66206855946865 \tabularnewline
78 & 105.4 & 104.401568656225 & 0.998431343774698 \tabularnewline
79 & 108.6 & 105.127786322936 & 3.47221367706354 \tabularnewline
80 & 110.6 & 107.653330949116 & 2.94666905088376 \tabularnewline
81 & 110.2 & 109.796616149491 & 0.403383850508817 \tabularnewline
82 & 106.2 & 110.090020879353 & -3.89002087935269 \tabularnewline
83 & 108.6 & 107.260580573742 & 1.33941942625800 \tabularnewline
84 & 107.5 & 108.234818869194 & -0.73481886919376 \tabularnewline
85 & 106.9 & 107.700342014107 & -0.800342014106519 \tabularnewline
86 & 108.4 & 107.118206333291 & 1.28179366670851 \tabularnewline
87 & 109.9 & 108.050530034512 & 1.84946996548841 \tabularnewline
88 & 108.6 & 109.395757997720 & -0.795757997719889 \tabularnewline
89 & 106.5 & 108.816956540840 & -2.31695654084045 \tabularnewline
90 & 105.7 & 107.131698176856 & -1.43169817685624 \tabularnewline
91 & 105.6 & 106.090340134649 & -0.490340134649415 \tabularnewline
92 & 104.2 & 105.733687000010 & -1.53368700000955 \tabularnewline
93 & 105.1 & 104.618146505857 & 0.481853494143337 \tabularnewline
94 & 102.7 & 104.968626809180 & -2.26862680917969 \tabularnewline
95 & 108.3 & 103.318521493203 & 4.98147850679746 \tabularnewline
96 & 104.2 & 106.941842936920 & -2.74184293691971 \tabularnewline
97 & 105.4 & 104.947539780720 & 0.452460219279700 \tabularnewline
98 & 104.6 & 105.276640631544 & -0.676640631543634 \tabularnewline
99 & 106.4 & 104.784480220409 & 1.61551977959073 \tabularnewline
100 & 111 & 105.95954249402 & 5.04045750598 \tabularnewline
101 & 111.7 & 109.625762822511 & 2.07423717748887 \tabularnewline
102 & 113.8 & 111.134477159890 & 2.66552284010983 \tabularnewline
103 & 115.9 & 113.073268234088 & 2.82673176591189 \tabularnewline
104 & 117.3 & 115.129316013696 & 2.17068398630404 \tabularnewline
105 & 113.6 & 116.708181770996 & -3.10818177099605 \tabularnewline
106 & 113.6 & 114.447418897794 & -0.84741889779417 \tabularnewline
107 & 114.6 & 113.831041438773 & 0.76895856122708 \tabularnewline
108 & 113.2 & 114.390350093909 & -1.19035009390855 \tabularnewline
109 & 112.8 & 113.524538665654 & -0.724538665654009 \tabularnewline
110 & 109.6 & 112.997539205457 & -3.39753920545678 \tabularnewline
111 & 111.1 & 110.526309701565 & 0.573690298435139 \tabularnewline
112 & 109.7 & 110.943588298178 & -1.24358829817751 \tabularnewline
113 & 113 & 110.039053601943 & 2.96094639805651 \tabularnewline
114 & 111 & 112.192723554175 & -1.19272355417471 \tabularnewline
115 & 113.3 & 111.325185769083 & 1.97481423091675 \tabularnewline
116 & 111.8 & 112.761583967023 & -0.961583967022804 \tabularnewline
117 & 107.2 & 112.062167558241 & -4.86216755824093 \tabularnewline
118 & 106.4 & 108.525627964086 & -2.12562796408612 \tabularnewline
119 & 110 & 106.979534093937 & 3.02046590606280 \tabularnewline
120 & 108.2 & 109.176496074707 & -0.976496074706603 \tabularnewline
121 & 108.2 & 108.466233215525 & -0.266233215524920 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111828&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]96.5[/C][C]98.4[/C][C]-1.90000000000001[/C][/ROW]
[ROW][C]3[/C][C]97.4[/C][C]97.0180185794903[/C][C]0.381981420509732[/C][/ROW]
[ROW][C]4[/C][C]99.2[/C][C]97.2958560669241[/C][C]1.90414393307586[/C][/ROW]
[ROW][C]5[/C][C]100.8[/C][C]98.68085161297[/C][C]2.11914838702998[/C][/ROW]
[ROW][C]6[/C][C]101.8[/C][C]100.222232506748[/C][C]1.57776749325177[/C][/ROW]
[ROW][C]7[/C][C]102.7[/C][C]101.369835328621[/C][C]1.33016467137907[/C][/ROW]
[ROW][C]8[/C][C]100[/C][C]102.337342098128[/C][C]-2.33734209812846[/C][/ROW]
[ROW][C]9[/C][C]100.8[/C][C]100.637256122871[/C][C]0.162743877128776[/C][/ROW]
[ROW][C]10[/C][C]101.7[/C][C]100.755629288394[/C][C]0.944370711605785[/C][/ROW]
[ROW][C]11[/C][C]99[/C][C]101.442525487085[/C][C]-2.44252548708513[/C][/ROW]
[ROW][C]12[/C][C]101.7[/C][C]99.6659334648361[/C][C]2.03406653516389[/C][/ROW]
[ROW][C]13[/C][C]100.2[/C][C]101.145429338350[/C][C]-0.945429338350365[/C][/ROW]
[ROW][C]14[/C][C]101.2[/C][C]100.457763138348[/C][C]0.742236861652273[/C][/ROW]
[ROW][C]15[/C][C]99.5[/C][C]100.997635534359[/C][C]-1.49763553435872[/C][/ROW]
[ROW][C]16[/C][C]100.8[/C][C]99.9083173853172[/C][C]0.891682614682807[/C][/ROW]
[ROW][C]17[/C][C]100.7[/C][C]100.556890441361[/C][C]0.143109558639040[/C][/ROW]
[ROW][C]18[/C][C]99.5[/C][C]100.660982415643[/C][C]-1.16098241564333[/C][/ROW]
[ROW][C]19[/C][C]99.4[/C][C]99.8165318219814[/C][C]-0.416531821981437[/C][/ROW]
[ROW][C]20[/C][C]101.1[/C][C]99.5135638014396[/C][C]1.58643619856035[/C][/ROW]
[ROW][C]21[/C][C]97.2[/C][C]100.667471881037[/C][C]-3.46747188103674[/C][/ROW]
[ROW][C]22[/C][C]98.1[/C][C]98.1453762411774[/C][C]-0.0453762411774363[/C][/ROW]
[ROW][C]23[/C][C]97.8[/C][C]98.1123714399986[/C][C]-0.3123714399986[/C][/ROW]
[ROW][C]24[/C][C]95.5[/C][C]97.885165373485[/C][C]-2.38516537348495[/C][/ROW]
[ROW][C]25[/C][C]96.3[/C][C]96.1502947255906[/C][C]0.149705274409442[/C][/ROW]
[ROW][C]26[/C][C]93.6[/C][C]96.2591841507412[/C][C]-2.65918415074117[/C][/ROW]
[ROW][C]27[/C][C]96.7[/C][C]94.3250035770368[/C][C]2.37499642296318[/C][/ROW]
[ROW][C]28[/C][C]95.1[/C][C]96.0524777508853[/C][C]-0.95247775088535[/C][/ROW]
[ROW][C]29[/C][C]97.7[/C][C]95.3596848271104[/C][C]2.34031517288963[/C][/ROW]
[ROW][C]30[/C][C]96.5[/C][C]97.0619332939896[/C][C]-0.561933293989568[/C][/ROW]
[ROW][C]31[/C][C]98.1[/C][C]96.6532062561688[/C][C]1.44679374383117[/C][/ROW]
[ROW][C]32[/C][C]97.3[/C][C]97.7055441894764[/C][C]-0.405544189476402[/C][/ROW]
[ROW][C]33[/C][C]97[/C][C]97.4105681183964[/C][C]-0.41056811839637[/C][/ROW]
[ROW][C]34[/C][C]93.7[/C][C]97.1119378491977[/C][C]-3.41193784919773[/C][/ROW]
[ROW][C]35[/C][C]95.6[/C][C]94.6302353673424[/C][C]0.969764632657629[/C][/ROW]
[ROW][C]36[/C][C]94.6[/C][C]95.3356020539741[/C][C]-0.735602053974105[/C][/ROW]
[ROW][C]37[/C][C]95.1[/C][C]94.8005555426683[/C][C]0.299444457331688[/C][/ROW]
[ROW][C]38[/C][C]94.5[/C][C]95.0183590566194[/C][C]-0.51835905661936[/C][/ROW]
[ROW][C]39[/C][C]93.6[/C][C]94.6413261169347[/C][C]-1.04132611693468[/C][/ROW]
[ROW][C]40[/C][C]92.1[/C][C]93.883908566253[/C][C]-1.78390856625296[/C][/ROW]
[ROW][C]41[/C][C]95.9[/C][C]92.5863672533847[/C][C]3.31363274661534[/C][/ROW]
[ROW][C]42[/C][C]98.1[/C][C]94.9965666692873[/C][C]3.10343333071269[/C][/ROW]
[ROW][C]43[/C][C]98.2[/C][C]97.2538757234113[/C][C]0.94612427658872[/C][/ROW]
[ROW][C]44[/C][C]96.2[/C][C]97.9420473927475[/C][C]-1.74204739274749[/C][/ROW]
[ROW][C]45[/C][C]94.1[/C][C]96.6749541662083[/C][C]-2.57495416620831[/C][/ROW]
[ROW][C]46[/C][C]95[/C][C]94.802038999701[/C][C]0.197961000299060[/C][/ROW]
[ROW][C]47[/C][C]93.4[/C][C]94.9460276441214[/C][C]-1.54602764412137[/C][/ROW]
[ROW][C]48[/C][C]95.4[/C][C]93.8215110758213[/C][C]1.57848892417871[/C][/ROW]
[ROW][C]49[/C][C]93.5[/C][C]94.9696386367136[/C][C]-1.46963863671360[/C][/ROW]
[ROW][C]50[/C][C]94.5[/C][C]93.9006842731339[/C][C]0.599315726866109[/C][/ROW]
[ROW][C]51[/C][C]94.3[/C][C]94.3366017465803[/C][C]-0.0366017465803452[/C][/ROW]
[ROW][C]52[/C][C]95.7[/C][C]94.3099791498792[/C][C]1.39002085012083[/C][/ROW]
[ROW][C]53[/C][C]98.4[/C][C]95.321022828294[/C][C]3.07897717170603[/C][/ROW]
[ROW][C]54[/C][C]99.4[/C][C]97.5605434838052[/C][C]1.8394565161948[/C][/ROW]
[ROW][C]55[/C][C]99.2[/C][C]98.8984880781298[/C][C]0.301511921870187[/C][/ROW]
[ROW][C]56[/C][C]99[/C][C]99.1177953802808[/C][C]-0.117795380280754[/C][/ROW]
[ROW][C]57[/C][C]99.4[/C][C]99.0321158924019[/C][C]0.367884107598130[/C][/ROW]
[ROW][C]58[/C][C]99.3[/C][C]99.2996995774553[/C][C]0.000300422544739831[/C][/ROW]
[ROW][C]59[/C][C]98.6[/C][C]99.2999180923895[/C][C]-0.699918092389538[/C][/ROW]
[ROW][C]60[/C][C]98.7[/C][C]98.7908266189364[/C][C]-0.09082661893639[/C][/ROW]
[ROW][C]61[/C][C]96[/C][C]98.7247630926954[/C][C]-2.72476309269544[/C][/ROW]
[ROW][C]62[/C][C]98.7[/C][C]96.742883108803[/C][C]1.95711689119705[/C][/ROW]
[ROW][C]63[/C][C]100.1[/C][C]98.1664089937504[/C][C]1.93359100624963[/C][/ROW]
[ROW][C]64[/C][C]100[/C][C]99.5728231229618[/C][C]0.427176877038221[/C][/ROW]
[ROW][C]65[/C][C]101.5[/C][C]99.8835339162977[/C][C]1.61646608370233[/C][/ROW]
[ROW][C]66[/C][C]101.5[/C][C]101.059284492382[/C][C]0.440715507617725[/C][/ROW]
[ROW][C]67[/C][C]103.8[/C][C]101.379842725676[/C][C]2.42015727432393[/C][/ROW]
[ROW][C]68[/C][C]104.1[/C][C]103.140165035059[/C][C]0.959834964941223[/C][/ROW]
[ROW][C]69[/C][C]101[/C][C]103.838309292061[/C][C]-2.83830929206107[/C][/ROW]
[ROW][C]70[/C][C]104.9[/C][C]101.773840498751[/C][C]3.12615950124868[/C][/ROW]
[ROW][C]71[/C][C]104.4[/C][C]104.047679629423[/C][C]0.352320370577289[/C][/ROW]
[ROW][C]72[/C][C]105.6[/C][C]104.303942895846[/C][C]1.29605710415363[/C][/ROW]
[ROW][C]73[/C][C]103.4[/C][C]105.246641231562[/C][C]-1.84664123156213[/C][/ROW]
[ROW][C]74[/C][C]101.7[/C][C]103.903470772422[/C][C]-2.20347077242209[/C][/ROW]
[ROW][C]75[/C][C]103.5[/C][C]102.300757262883[/C][C]1.19924273711662[/C][/ROW]
[ROW][C]76[/C][C]101.2[/C][C]103.173036832029[/C][C]-1.97303683202885[/C][/ROW]
[ROW][C]77[/C][C]105.4[/C][C]101.737931440531[/C][C]3.66206855946865[/C][/ROW]
[ROW][C]78[/C][C]105.4[/C][C]104.401568656225[/C][C]0.998431343774698[/C][/ROW]
[ROW][C]79[/C][C]108.6[/C][C]105.127786322936[/C][C]3.47221367706354[/C][/ROW]
[ROW][C]80[/C][C]110.6[/C][C]107.653330949116[/C][C]2.94666905088376[/C][/ROW]
[ROW][C]81[/C][C]110.2[/C][C]109.796616149491[/C][C]0.403383850508817[/C][/ROW]
[ROW][C]82[/C][C]106.2[/C][C]110.090020879353[/C][C]-3.89002087935269[/C][/ROW]
[ROW][C]83[/C][C]108.6[/C][C]107.260580573742[/C][C]1.33941942625800[/C][/ROW]
[ROW][C]84[/C][C]107.5[/C][C]108.234818869194[/C][C]-0.73481886919376[/C][/ROW]
[ROW][C]85[/C][C]106.9[/C][C]107.700342014107[/C][C]-0.800342014106519[/C][/ROW]
[ROW][C]86[/C][C]108.4[/C][C]107.118206333291[/C][C]1.28179366670851[/C][/ROW]
[ROW][C]87[/C][C]109.9[/C][C]108.050530034512[/C][C]1.84946996548841[/C][/ROW]
[ROW][C]88[/C][C]108.6[/C][C]109.395757997720[/C][C]-0.795757997719889[/C][/ROW]
[ROW][C]89[/C][C]106.5[/C][C]108.816956540840[/C][C]-2.31695654084045[/C][/ROW]
[ROW][C]90[/C][C]105.7[/C][C]107.131698176856[/C][C]-1.43169817685624[/C][/ROW]
[ROW][C]91[/C][C]105.6[/C][C]106.090340134649[/C][C]-0.490340134649415[/C][/ROW]
[ROW][C]92[/C][C]104.2[/C][C]105.733687000010[/C][C]-1.53368700000955[/C][/ROW]
[ROW][C]93[/C][C]105.1[/C][C]104.618146505857[/C][C]0.481853494143337[/C][/ROW]
[ROW][C]94[/C][C]102.7[/C][C]104.968626809180[/C][C]-2.26862680917969[/C][/ROW]
[ROW][C]95[/C][C]108.3[/C][C]103.318521493203[/C][C]4.98147850679746[/C][/ROW]
[ROW][C]96[/C][C]104.2[/C][C]106.941842936920[/C][C]-2.74184293691971[/C][/ROW]
[ROW][C]97[/C][C]105.4[/C][C]104.947539780720[/C][C]0.452460219279700[/C][/ROW]
[ROW][C]98[/C][C]104.6[/C][C]105.276640631544[/C][C]-0.676640631543634[/C][/ROW]
[ROW][C]99[/C][C]106.4[/C][C]104.784480220409[/C][C]1.61551977959073[/C][/ROW]
[ROW][C]100[/C][C]111[/C][C]105.95954249402[/C][C]5.04045750598[/C][/ROW]
[ROW][C]101[/C][C]111.7[/C][C]109.625762822511[/C][C]2.07423717748887[/C][/ROW]
[ROW][C]102[/C][C]113.8[/C][C]111.134477159890[/C][C]2.66552284010983[/C][/ROW]
[ROW][C]103[/C][C]115.9[/C][C]113.073268234088[/C][C]2.82673176591189[/C][/ROW]
[ROW][C]104[/C][C]117.3[/C][C]115.129316013696[/C][C]2.17068398630404[/C][/ROW]
[ROW][C]105[/C][C]113.6[/C][C]116.708181770996[/C][C]-3.10818177099605[/C][/ROW]
[ROW][C]106[/C][C]113.6[/C][C]114.447418897794[/C][C]-0.84741889779417[/C][/ROW]
[ROW][C]107[/C][C]114.6[/C][C]113.831041438773[/C][C]0.76895856122708[/C][/ROW]
[ROW][C]108[/C][C]113.2[/C][C]114.390350093909[/C][C]-1.19035009390855[/C][/ROW]
[ROW][C]109[/C][C]112.8[/C][C]113.524538665654[/C][C]-0.724538665654009[/C][/ROW]
[ROW][C]110[/C][C]109.6[/C][C]112.997539205457[/C][C]-3.39753920545678[/C][/ROW]
[ROW][C]111[/C][C]111.1[/C][C]110.526309701565[/C][C]0.573690298435139[/C][/ROW]
[ROW][C]112[/C][C]109.7[/C][C]110.943588298178[/C][C]-1.24358829817751[/C][/ROW]
[ROW][C]113[/C][C]113[/C][C]110.039053601943[/C][C]2.96094639805651[/C][/ROW]
[ROW][C]114[/C][C]111[/C][C]112.192723554175[/C][C]-1.19272355417471[/C][/ROW]
[ROW][C]115[/C][C]113.3[/C][C]111.325185769083[/C][C]1.97481423091675[/C][/ROW]
[ROW][C]116[/C][C]111.8[/C][C]112.761583967023[/C][C]-0.961583967022804[/C][/ROW]
[ROW][C]117[/C][C]107.2[/C][C]112.062167558241[/C][C]-4.86216755824093[/C][/ROW]
[ROW][C]118[/C][C]106.4[/C][C]108.525627964086[/C][C]-2.12562796408612[/C][/ROW]
[ROW][C]119[/C][C]110[/C][C]106.979534093937[/C][C]3.02046590606280[/C][/ROW]
[ROW][C]120[/C][C]108.2[/C][C]109.176496074707[/C][C]-0.976496074706603[/C][/ROW]
[ROW][C]121[/C][C]108.2[/C][C]108.466233215525[/C][C]-0.266233215524920[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111828&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111828&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
296.598.4-1.90000000000001
397.497.01801857949030.381981420509732
499.297.29585606692411.90414393307586
5100.898.680851612972.11914838702998
6101.8100.2222325067481.57776749325177
7102.7101.3698353286211.33016467137907
8100102.337342098128-2.33734209812846
9100.8100.6372561228710.162743877128776
10101.7100.7556292883940.944370711605785
1199101.442525487085-2.44252548708513
12101.799.66593346483612.03406653516389
13100.2101.145429338350-0.945429338350365
14101.2100.4577631383480.742236861652273
1599.5100.997635534359-1.49763553435872
16100.899.90831738531720.891682614682807
17100.7100.5568904413610.143109558639040
1899.5100.660982415643-1.16098241564333
1999.499.8165318219814-0.416531821981437
20101.199.51356380143961.58643619856035
2197.2100.667471881037-3.46747188103674
2298.198.1453762411774-0.0453762411774363
2397.898.1123714399986-0.3123714399986
2495.597.885165373485-2.38516537348495
2596.396.15029472559060.149705274409442
2693.696.2591841507412-2.65918415074117
2796.794.32500357703682.37499642296318
2895.196.0524777508853-0.95247775088535
2997.795.35968482711042.34031517288963
3096.597.0619332939896-0.561933293989568
3198.196.65320625616881.44679374383117
3297.397.7055441894764-0.405544189476402
339797.4105681183964-0.41056811839637
3493.797.1119378491977-3.41193784919773
3595.694.63023536734240.969764632657629
3694.695.3356020539741-0.735602053974105
3795.194.80055554266830.299444457331688
3894.595.0183590566194-0.51835905661936
3993.694.6413261169347-1.04132611693468
4092.193.883908566253-1.78390856625296
4195.992.58636725338473.31363274661534
4298.194.99656666928733.10343333071269
4398.297.25387572341130.94612427658872
4496.297.9420473927475-1.74204739274749
4594.196.6749541662083-2.57495416620831
469594.8020389997010.197961000299060
4793.494.9460276441214-1.54602764412137
4895.493.82151107582131.57848892417871
4993.594.9696386367136-1.46963863671360
5094.593.90068427313390.599315726866109
5194.394.3366017465803-0.0366017465803452
5295.794.30997914987921.39002085012083
5398.495.3210228282943.07897717170603
5499.497.56054348380521.8394565161948
5599.298.89848807812980.301511921870187
569999.1177953802808-0.117795380280754
5799.499.03211589240190.367884107598130
5899.399.29969957745530.000300422544739831
5998.699.2999180923895-0.699918092389538
6098.798.7908266189364-0.09082661893639
619698.7247630926954-2.72476309269544
6298.796.7428831088031.95711689119705
63100.198.16640899375041.93359100624963
6410099.57282312296180.427176877038221
65101.599.88353391629771.61646608370233
66101.5101.0592844923820.440715507617725
67103.8101.3798427256762.42015727432393
68104.1103.1401650350590.959834964941223
69101103.838309292061-2.83830929206107
70104.9101.7738404987513.12615950124868
71104.4104.0476796294230.352320370577289
72105.6104.3039428958461.29605710415363
73103.4105.246641231562-1.84664123156213
74101.7103.903470772422-2.20347077242209
75103.5102.3007572628831.19924273711662
76101.2103.173036832029-1.97303683202885
77105.4101.7379314405313.66206855946865
78105.4104.4015686562250.998431343774698
79108.6105.1277863229363.47221367706354
80110.6107.6533309491162.94666905088376
81110.2109.7966161494910.403383850508817
82106.2110.090020879353-3.89002087935269
83108.6107.2605805737421.33941942625800
84107.5108.234818869194-0.73481886919376
85106.9107.700342014107-0.800342014106519
86108.4107.1182063332911.28179366670851
87109.9108.0505300345121.84946996548841
88108.6109.395757997720-0.795757997719889
89106.5108.816956540840-2.31695654084045
90105.7107.131698176856-1.43169817685624
91105.6106.090340134649-0.490340134649415
92104.2105.733687000010-1.53368700000955
93105.1104.6181465058570.481853494143337
94102.7104.968626809180-2.26862680917969
95108.3103.3185214932034.98147850679746
96104.2106.941842936920-2.74184293691971
97105.4104.9475397807200.452460219279700
98104.6105.276640631544-0.676640631543634
99106.4104.7844802204091.61551977959073
100111105.959542494025.04045750598
101111.7109.6257628225112.07423717748887
102113.8111.1344771598902.66552284010983
103115.9113.0732682340882.82673176591189
104117.3115.1293160136962.17068398630404
105113.6116.708181770996-3.10818177099605
106113.6114.447418897794-0.84741889779417
107114.6113.8310414387730.76895856122708
108113.2114.390350093909-1.19035009390855
109112.8113.524538665654-0.724538665654009
110109.6112.997539205457-3.39753920545678
111111.1110.5263097015650.573690298435139
112109.7110.943588298178-1.24358829817751
113113110.0390536019432.96094639805651
114111112.192723554175-1.19272355417471
115113.3111.3251857690831.97481423091675
116111.8112.761583967023-0.961583967022804
117107.2112.062167558241-4.86216755824093
118106.4108.525627964086-2.12562796408612
119110106.9795340939373.02046590606280
120108.2109.176496074707-0.976496074706603
121108.2108.466233215525-0.266233215524920







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
122108.272586185326104.467761022791112.077411347861
123108.272586185326103.567737796666112.977434573986
124108.272586185326102.814152142206113.731020228446
125108.272586185326102.152667391264114.392504979388
126108.272586185326101.556016384547114.989155986105
127108.272586185326101.008206395450115.536965975201
128108.272586185326100.498905102700116.046267267951
129108.272586185326100.02097898326116.524193387392
130108.27258618532699.5692577840759116.975914586576
131108.27258618532699.139852251677117.405320118975
132108.27258618532698.7297494505996117.815422920052
133108.27258618532698.3365589717732118.208613398879

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
122 & 108.272586185326 & 104.467761022791 & 112.077411347861 \tabularnewline
123 & 108.272586185326 & 103.567737796666 & 112.977434573986 \tabularnewline
124 & 108.272586185326 & 102.814152142206 & 113.731020228446 \tabularnewline
125 & 108.272586185326 & 102.152667391264 & 114.392504979388 \tabularnewline
126 & 108.272586185326 & 101.556016384547 & 114.989155986105 \tabularnewline
127 & 108.272586185326 & 101.008206395450 & 115.536965975201 \tabularnewline
128 & 108.272586185326 & 100.498905102700 & 116.046267267951 \tabularnewline
129 & 108.272586185326 & 100.02097898326 & 116.524193387392 \tabularnewline
130 & 108.272586185326 & 99.5692577840759 & 116.975914586576 \tabularnewline
131 & 108.272586185326 & 99.139852251677 & 117.405320118975 \tabularnewline
132 & 108.272586185326 & 98.7297494505996 & 117.815422920052 \tabularnewline
133 & 108.272586185326 & 98.3365589717732 & 118.208613398879 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111828&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]122[/C][C]108.272586185326[/C][C]104.467761022791[/C][C]112.077411347861[/C][/ROW]
[ROW][C]123[/C][C]108.272586185326[/C][C]103.567737796666[/C][C]112.977434573986[/C][/ROW]
[ROW][C]124[/C][C]108.272586185326[/C][C]102.814152142206[/C][C]113.731020228446[/C][/ROW]
[ROW][C]125[/C][C]108.272586185326[/C][C]102.152667391264[/C][C]114.392504979388[/C][/ROW]
[ROW][C]126[/C][C]108.272586185326[/C][C]101.556016384547[/C][C]114.989155986105[/C][/ROW]
[ROW][C]127[/C][C]108.272586185326[/C][C]101.008206395450[/C][C]115.536965975201[/C][/ROW]
[ROW][C]128[/C][C]108.272586185326[/C][C]100.498905102700[/C][C]116.046267267951[/C][/ROW]
[ROW][C]129[/C][C]108.272586185326[/C][C]100.02097898326[/C][C]116.524193387392[/C][/ROW]
[ROW][C]130[/C][C]108.272586185326[/C][C]99.5692577840759[/C][C]116.975914586576[/C][/ROW]
[ROW][C]131[/C][C]108.272586185326[/C][C]99.139852251677[/C][C]117.405320118975[/C][/ROW]
[ROW][C]132[/C][C]108.272586185326[/C][C]98.7297494505996[/C][C]117.815422920052[/C][/ROW]
[ROW][C]133[/C][C]108.272586185326[/C][C]98.3365589717732[/C][C]118.208613398879[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111828&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111828&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
122108.272586185326104.467761022791112.077411347861
123108.272586185326103.567737796666112.977434573986
124108.272586185326102.814152142206113.731020228446
125108.272586185326102.152667391264114.392504979388
126108.272586185326101.556016384547114.989155986105
127108.272586185326101.008206395450115.536965975201
128108.272586185326100.498905102700116.046267267951
129108.272586185326100.02097898326116.524193387392
130108.27258618532699.5692577840759116.975914586576
131108.27258618532699.139852251677117.405320118975
132108.27258618532698.7297494505996117.815422920052
133108.27258618532698.3365589717732118.208613398879



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; 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')