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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 21 Aug 2013 05:37:21 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/21/t137707791028iw8t2mkidfvqk.htm/, Retrieved Sat, 27 Apr 2024 10:24:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211319, Retrieved Sat, 27 Apr 2024 10:24:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsRaedts Mathias
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Tijdreeks B - Sta...] [2013-08-21 09:37:21] [e2e43c39163d7563005e2a800525cced] [Current]
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Dataseries X:
910
910
970
950
980
860
920
950
900
950
950
940
860
810
870
960
970
860
850
910
970
980
970
1000
910
740
810
1050
920
830
880
910
880
960
900
1110
870
720
780
970
1020
830
820
920
840
920
920
1150
820
760
760
960
1010
790
820
880
820
870
870
1230
760
810
850
990
940
850
860
860
780
880
850
1220
850
800
840
1090
810
870
810
860
800
870
860
1220
820
860
750
1020
780
830
860
850
820
790
1020
1230
760
880
760
1090
840
900
930
820
780
870
990
1270




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211319&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211319&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211319&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[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211319&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211319&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
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
397091060
495091040
598091070
6860910-50
792091010
895091040
9900910-10
1095091040
1195091040
1294091030
13860910-50
14810910-100
15870910-40
1696091050
1797091060
18860910-50
19850910-60
209109100
2197091060
2298091070
2397091060
24100091090
259109100
26740910-170
27810910-100
281050910140
2992091010
30830910-80
31880910-30
329109100
33880910-30
3496091050
35900910-10
361110910200
37870910-40
38720910-190
39780910-130
4097091060
411020910110
42830910-80
43820910-90
4492091010
45840910-70
4692091010
4792091010
481150910240
49820910-90
50760910-150
51760910-150
5296091050
531010910100
54790910-120
55820910-90
56880910-30
57820910-90
58870910-40
59870910-40
601230910320
61760910-150
62810910-100
63850910-60
6499091080
6594091030
66850910-60
67860910-50
68860910-50
69780910-130
70880910-30
71850910-60
721220910310
73850910-60
74800910-110
75840910-70
761090910180
77810910-100
78870910-40
79810910-100
80860910-50
81800910-110
82870910-40
83860910-50
841220910310
85820910-90
86860910-50
87750910-160
881020910110
89780910-130
90830910-80
91860910-50
92850910-60
93820910-90
94790910-120
951020910110
961230910320
97760910-150
98880910-30
99760910-150
1001090910180
101840910-70
102900910-10
10393091020
104820910-90
105780910-130
106870910-40
10799091080
1081270910360

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 970 & 910 & 60 \tabularnewline
4 & 950 & 910 & 40 \tabularnewline
5 & 980 & 910 & 70 \tabularnewline
6 & 860 & 910 & -50 \tabularnewline
7 & 920 & 910 & 10 \tabularnewline
8 & 950 & 910 & 40 \tabularnewline
9 & 900 & 910 & -10 \tabularnewline
10 & 950 & 910 & 40 \tabularnewline
11 & 950 & 910 & 40 \tabularnewline
12 & 940 & 910 & 30 \tabularnewline
13 & 860 & 910 & -50 \tabularnewline
14 & 810 & 910 & -100 \tabularnewline
15 & 870 & 910 & -40 \tabularnewline
16 & 960 & 910 & 50 \tabularnewline
17 & 970 & 910 & 60 \tabularnewline
18 & 860 & 910 & -50 \tabularnewline
19 & 850 & 910 & -60 \tabularnewline
20 & 910 & 910 & 0 \tabularnewline
21 & 970 & 910 & 60 \tabularnewline
22 & 980 & 910 & 70 \tabularnewline
23 & 970 & 910 & 60 \tabularnewline
24 & 1000 & 910 & 90 \tabularnewline
25 & 910 & 910 & 0 \tabularnewline
26 & 740 & 910 & -170 \tabularnewline
27 & 810 & 910 & -100 \tabularnewline
28 & 1050 & 910 & 140 \tabularnewline
29 & 920 & 910 & 10 \tabularnewline
30 & 830 & 910 & -80 \tabularnewline
31 & 880 & 910 & -30 \tabularnewline
32 & 910 & 910 & 0 \tabularnewline
33 & 880 & 910 & -30 \tabularnewline
34 & 960 & 910 & 50 \tabularnewline
35 & 900 & 910 & -10 \tabularnewline
36 & 1110 & 910 & 200 \tabularnewline
37 & 870 & 910 & -40 \tabularnewline
38 & 720 & 910 & -190 \tabularnewline
39 & 780 & 910 & -130 \tabularnewline
40 & 970 & 910 & 60 \tabularnewline
41 & 1020 & 910 & 110 \tabularnewline
42 & 830 & 910 & -80 \tabularnewline
43 & 820 & 910 & -90 \tabularnewline
44 & 920 & 910 & 10 \tabularnewline
45 & 840 & 910 & -70 \tabularnewline
46 & 920 & 910 & 10 \tabularnewline
47 & 920 & 910 & 10 \tabularnewline
48 & 1150 & 910 & 240 \tabularnewline
49 & 820 & 910 & -90 \tabularnewline
50 & 760 & 910 & -150 \tabularnewline
51 & 760 & 910 & -150 \tabularnewline
52 & 960 & 910 & 50 \tabularnewline
53 & 1010 & 910 & 100 \tabularnewline
54 & 790 & 910 & -120 \tabularnewline
55 & 820 & 910 & -90 \tabularnewline
56 & 880 & 910 & -30 \tabularnewline
57 & 820 & 910 & -90 \tabularnewline
58 & 870 & 910 & -40 \tabularnewline
59 & 870 & 910 & -40 \tabularnewline
60 & 1230 & 910 & 320 \tabularnewline
61 & 760 & 910 & -150 \tabularnewline
62 & 810 & 910 & -100 \tabularnewline
63 & 850 & 910 & -60 \tabularnewline
64 & 990 & 910 & 80 \tabularnewline
65 & 940 & 910 & 30 \tabularnewline
66 & 850 & 910 & -60 \tabularnewline
67 & 860 & 910 & -50 \tabularnewline
68 & 860 & 910 & -50 \tabularnewline
69 & 780 & 910 & -130 \tabularnewline
70 & 880 & 910 & -30 \tabularnewline
71 & 850 & 910 & -60 \tabularnewline
72 & 1220 & 910 & 310 \tabularnewline
73 & 850 & 910 & -60 \tabularnewline
74 & 800 & 910 & -110 \tabularnewline
75 & 840 & 910 & -70 \tabularnewline
76 & 1090 & 910 & 180 \tabularnewline
77 & 810 & 910 & -100 \tabularnewline
78 & 870 & 910 & -40 \tabularnewline
79 & 810 & 910 & -100 \tabularnewline
80 & 860 & 910 & -50 \tabularnewline
81 & 800 & 910 & -110 \tabularnewline
82 & 870 & 910 & -40 \tabularnewline
83 & 860 & 910 & -50 \tabularnewline
84 & 1220 & 910 & 310 \tabularnewline
85 & 820 & 910 & -90 \tabularnewline
86 & 860 & 910 & -50 \tabularnewline
87 & 750 & 910 & -160 \tabularnewline
88 & 1020 & 910 & 110 \tabularnewline
89 & 780 & 910 & -130 \tabularnewline
90 & 830 & 910 & -80 \tabularnewline
91 & 860 & 910 & -50 \tabularnewline
92 & 850 & 910 & -60 \tabularnewline
93 & 820 & 910 & -90 \tabularnewline
94 & 790 & 910 & -120 \tabularnewline
95 & 1020 & 910 & 110 \tabularnewline
96 & 1230 & 910 & 320 \tabularnewline
97 & 760 & 910 & -150 \tabularnewline
98 & 880 & 910 & -30 \tabularnewline
99 & 760 & 910 & -150 \tabularnewline
100 & 1090 & 910 & 180 \tabularnewline
101 & 840 & 910 & -70 \tabularnewline
102 & 900 & 910 & -10 \tabularnewline
103 & 930 & 910 & 20 \tabularnewline
104 & 820 & 910 & -90 \tabularnewline
105 & 780 & 910 & -130 \tabularnewline
106 & 870 & 910 & -40 \tabularnewline
107 & 990 & 910 & 80 \tabularnewline
108 & 1270 & 910 & 360 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211319&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]970[/C][C]910[/C][C]60[/C][/ROW]
[ROW][C]4[/C][C]950[/C][C]910[/C][C]40[/C][/ROW]
[ROW][C]5[/C][C]980[/C][C]910[/C][C]70[/C][/ROW]
[ROW][C]6[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]7[/C][C]920[/C][C]910[/C][C]10[/C][/ROW]
[ROW][C]8[/C][C]950[/C][C]910[/C][C]40[/C][/ROW]
[ROW][C]9[/C][C]900[/C][C]910[/C][C]-10[/C][/ROW]
[ROW][C]10[/C][C]950[/C][C]910[/C][C]40[/C][/ROW]
[ROW][C]11[/C][C]950[/C][C]910[/C][C]40[/C][/ROW]
[ROW][C]12[/C][C]940[/C][C]910[/C][C]30[/C][/ROW]
[ROW][C]13[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]14[/C][C]810[/C][C]910[/C][C]-100[/C][/ROW]
[ROW][C]15[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]16[/C][C]960[/C][C]910[/C][C]50[/C][/ROW]
[ROW][C]17[/C][C]970[/C][C]910[/C][C]60[/C][/ROW]
[ROW][C]18[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]19[/C][C]850[/C][C]910[/C][C]-60[/C][/ROW]
[ROW][C]20[/C][C]910[/C][C]910[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]970[/C][C]910[/C][C]60[/C][/ROW]
[ROW][C]22[/C][C]980[/C][C]910[/C][C]70[/C][/ROW]
[ROW][C]23[/C][C]970[/C][C]910[/C][C]60[/C][/ROW]
[ROW][C]24[/C][C]1000[/C][C]910[/C][C]90[/C][/ROW]
[ROW][C]25[/C][C]910[/C][C]910[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]740[/C][C]910[/C][C]-170[/C][/ROW]
[ROW][C]27[/C][C]810[/C][C]910[/C][C]-100[/C][/ROW]
[ROW][C]28[/C][C]1050[/C][C]910[/C][C]140[/C][/ROW]
[ROW][C]29[/C][C]920[/C][C]910[/C][C]10[/C][/ROW]
[ROW][C]30[/C][C]830[/C][C]910[/C][C]-80[/C][/ROW]
[ROW][C]31[/C][C]880[/C][C]910[/C][C]-30[/C][/ROW]
[ROW][C]32[/C][C]910[/C][C]910[/C][C]0[/C][/ROW]
[ROW][C]33[/C][C]880[/C][C]910[/C][C]-30[/C][/ROW]
[ROW][C]34[/C][C]960[/C][C]910[/C][C]50[/C][/ROW]
[ROW][C]35[/C][C]900[/C][C]910[/C][C]-10[/C][/ROW]
[ROW][C]36[/C][C]1110[/C][C]910[/C][C]200[/C][/ROW]
[ROW][C]37[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]38[/C][C]720[/C][C]910[/C][C]-190[/C][/ROW]
[ROW][C]39[/C][C]780[/C][C]910[/C][C]-130[/C][/ROW]
[ROW][C]40[/C][C]970[/C][C]910[/C][C]60[/C][/ROW]
[ROW][C]41[/C][C]1020[/C][C]910[/C][C]110[/C][/ROW]
[ROW][C]42[/C][C]830[/C][C]910[/C][C]-80[/C][/ROW]
[ROW][C]43[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]44[/C][C]920[/C][C]910[/C][C]10[/C][/ROW]
[ROW][C]45[/C][C]840[/C][C]910[/C][C]-70[/C][/ROW]
[ROW][C]46[/C][C]920[/C][C]910[/C][C]10[/C][/ROW]
[ROW][C]47[/C][C]920[/C][C]910[/C][C]10[/C][/ROW]
[ROW][C]48[/C][C]1150[/C][C]910[/C][C]240[/C][/ROW]
[ROW][C]49[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]50[/C][C]760[/C][C]910[/C][C]-150[/C][/ROW]
[ROW][C]51[/C][C]760[/C][C]910[/C][C]-150[/C][/ROW]
[ROW][C]52[/C][C]960[/C][C]910[/C][C]50[/C][/ROW]
[ROW][C]53[/C][C]1010[/C][C]910[/C][C]100[/C][/ROW]
[ROW][C]54[/C][C]790[/C][C]910[/C][C]-120[/C][/ROW]
[ROW][C]55[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]56[/C][C]880[/C][C]910[/C][C]-30[/C][/ROW]
[ROW][C]57[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]58[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]59[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]60[/C][C]1230[/C][C]910[/C][C]320[/C][/ROW]
[ROW][C]61[/C][C]760[/C][C]910[/C][C]-150[/C][/ROW]
[ROW][C]62[/C][C]810[/C][C]910[/C][C]-100[/C][/ROW]
[ROW][C]63[/C][C]850[/C][C]910[/C][C]-60[/C][/ROW]
[ROW][C]64[/C][C]990[/C][C]910[/C][C]80[/C][/ROW]
[ROW][C]65[/C][C]940[/C][C]910[/C][C]30[/C][/ROW]
[ROW][C]66[/C][C]850[/C][C]910[/C][C]-60[/C][/ROW]
[ROW][C]67[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]68[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]69[/C][C]780[/C][C]910[/C][C]-130[/C][/ROW]
[ROW][C]70[/C][C]880[/C][C]910[/C][C]-30[/C][/ROW]
[ROW][C]71[/C][C]850[/C][C]910[/C][C]-60[/C][/ROW]
[ROW][C]72[/C][C]1220[/C][C]910[/C][C]310[/C][/ROW]
[ROW][C]73[/C][C]850[/C][C]910[/C][C]-60[/C][/ROW]
[ROW][C]74[/C][C]800[/C][C]910[/C][C]-110[/C][/ROW]
[ROW][C]75[/C][C]840[/C][C]910[/C][C]-70[/C][/ROW]
[ROW][C]76[/C][C]1090[/C][C]910[/C][C]180[/C][/ROW]
[ROW][C]77[/C][C]810[/C][C]910[/C][C]-100[/C][/ROW]
[ROW][C]78[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]79[/C][C]810[/C][C]910[/C][C]-100[/C][/ROW]
[ROW][C]80[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]81[/C][C]800[/C][C]910[/C][C]-110[/C][/ROW]
[ROW][C]82[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]83[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]84[/C][C]1220[/C][C]910[/C][C]310[/C][/ROW]
[ROW][C]85[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]86[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]87[/C][C]750[/C][C]910[/C][C]-160[/C][/ROW]
[ROW][C]88[/C][C]1020[/C][C]910[/C][C]110[/C][/ROW]
[ROW][C]89[/C][C]780[/C][C]910[/C][C]-130[/C][/ROW]
[ROW][C]90[/C][C]830[/C][C]910[/C][C]-80[/C][/ROW]
[ROW][C]91[/C][C]860[/C][C]910[/C][C]-50[/C][/ROW]
[ROW][C]92[/C][C]850[/C][C]910[/C][C]-60[/C][/ROW]
[ROW][C]93[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]94[/C][C]790[/C][C]910[/C][C]-120[/C][/ROW]
[ROW][C]95[/C][C]1020[/C][C]910[/C][C]110[/C][/ROW]
[ROW][C]96[/C][C]1230[/C][C]910[/C][C]320[/C][/ROW]
[ROW][C]97[/C][C]760[/C][C]910[/C][C]-150[/C][/ROW]
[ROW][C]98[/C][C]880[/C][C]910[/C][C]-30[/C][/ROW]
[ROW][C]99[/C][C]760[/C][C]910[/C][C]-150[/C][/ROW]
[ROW][C]100[/C][C]1090[/C][C]910[/C][C]180[/C][/ROW]
[ROW][C]101[/C][C]840[/C][C]910[/C][C]-70[/C][/ROW]
[ROW][C]102[/C][C]900[/C][C]910[/C][C]-10[/C][/ROW]
[ROW][C]103[/C][C]930[/C][C]910[/C][C]20[/C][/ROW]
[ROW][C]104[/C][C]820[/C][C]910[/C][C]-90[/C][/ROW]
[ROW][C]105[/C][C]780[/C][C]910[/C][C]-130[/C][/ROW]
[ROW][C]106[/C][C]870[/C][C]910[/C][C]-40[/C][/ROW]
[ROW][C]107[/C][C]990[/C][C]910[/C][C]80[/C][/ROW]
[ROW][C]108[/C][C]1270[/C][C]910[/C][C]360[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211319&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211319&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
397091060
495091040
598091070
6860910-50
792091010
895091040
9900910-10
1095091040
1195091040
1294091030
13860910-50
14810910-100
15870910-40
1696091050
1797091060
18860910-50
19850910-60
209109100
2197091060
2298091070
2397091060
24100091090
259109100
26740910-170
27810910-100
281050910140
2992091010
30830910-80
31880910-30
329109100
33880910-30
3496091050
35900910-10
361110910200
37870910-40
38720910-190
39780910-130
4097091060
411020910110
42830910-80
43820910-90
4492091010
45840910-70
4692091010
4792091010
481150910240
49820910-90
50760910-150
51760910-150
5296091050
531010910100
54790910-120
55820910-90
56880910-30
57820910-90
58870910-40
59870910-40
601230910320
61760910-150
62810910-100
63850910-60
6499091080
6594091030
66850910-60
67860910-50
68860910-50
69780910-130
70880910-30
71850910-60
721220910310
73850910-60
74800910-110
75840910-70
761090910180
77810910-100
78870910-40
79810910-100
80860910-50
81800910-110
82870910-40
83860910-50
841220910310
85820910-90
86860910-50
87750910-160
881020910110
89780910-130
90830910-80
91860910-50
92850910-60
93820910-90
94790910-120
951020910110
961230910320
97760910-150
98880910-30
99760910-150
1001090910180
101840910-70
102900910-10
10393091020
104820910-90
105780910-130
106870910-40
10799091080
1081270910360







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109910688.9544226316181131.04557736838
110910688.9544226316181131.04557736838
111910688.9544226316181131.04557736838
112910688.9544226316181131.04557736838
113910688.9544226316181131.04557736838
114910688.9544226316181131.04557736838
115910688.9544226316181131.04557736838
116910688.9544226316181131.04557736838
117910688.9544226316181131.04557736838
118910688.9544226316181131.04557736838
119910688.9544226316181131.04557736838
120910688.9544226316181131.04557736838

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
109 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
110 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
111 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
112 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
113 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
114 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
115 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
116 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
117 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
118 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
119 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
120 & 910 & 688.954422631618 & 1131.04557736838 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211319&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]109[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]110[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]111[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]112[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]113[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]114[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]115[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]116[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]117[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]118[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]119[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[ROW][C]120[/C][C]910[/C][C]688.954422631618[/C][C]1131.04557736838[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211319&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211319&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
109910688.9544226316181131.04557736838
110910688.9544226316181131.04557736838
111910688.9544226316181131.04557736838
112910688.9544226316181131.04557736838
113910688.9544226316181131.04557736838
114910688.9544226316181131.04557736838
115910688.9544226316181131.04557736838
116910688.9544226316181131.04557736838
117910688.9544226316181131.04557736838
118910688.9544226316181131.04557736838
119910688.9544226316181131.04557736838
120910688.9544226316181131.04557736838



Parameters (Session):
par1 = 22 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '12'
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')