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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 15 Jul 2014 12:29:13 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Jul/15/t1405423789su4nlbqyxei8fv4.htm/, Retrieved Wed, 15 May 2024 06:35:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235327, Retrieved Wed, 15 May 2024 06:35:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsToon Oeyen
Estimated Impact144
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [tijdreeks B Stap 27] [2014-07-15 11:29:13] [529eccf7e66da1786c0a491e4074a2d7] [Current]
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Dataseries X:
10700
12400
12000
12800
11800
11900
11900
12300
11700
11900
11900
14000
11300
12600
12600
12600
11300
12200
11800
12800
11400
11600
11700
14100
11000
12800
13300
12600
10700
12600
12700
14100
11600
11300
11600
13000
10800
13800
12600
12500
9900
11800
12400
15000
11500
11100
10800
12700
10500
14900
12800
12300
9600
11000
12700
15300
12900
11200
11000
13100
10200
15100
12600
11600
9700
10200
12100
15300
13500
10700
11400
12500
9300
15100
12300
11800
9600
9600
12400
16400
13500
11000
11200
12900
8900
15600
12500
11700
9000
8600
13100
16100
14400
11300
12200
14000
9300
14900
12500
11600
9100
8800
13000
15500
14600
11200
12700
14100




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235327&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235327&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235327&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235327&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]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235327&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235327&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
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131130011282.986111111117.013888888885
141260012567.266414141432.7335858585811
151260012559.880050505140.1199494949433
161260012585.82702020214.1729797979751
171130011307.6073232323-7.60732323232878
181220012212.720959596-12.7209595959648
191180011942.8345959596-142.834595959601
201280012310.4482323232489.551767676761
211140011678.0618686869-278.061868686875
221160011862.3421717172-262.342171717177
231170011892.4558080808-192.455808080816
241410014001.736111111198.2638888888832
251100011311.3636363636-311.36363636364
261280012611.3636363636188.63636363636
271330012611.3636363636688.63636363636
281260012611.3636363636-11.3636363636397
291070011311.3636363636-611.36363636364
301260012211.3636363636388.63636363636
311270011811.3636363636888.63636363636
321410012811.36363636361288.63636363636
331160011411.3636363636188.63636363636
341130011611.3636363636-311.36363636364
351160011711.3636363636-111.36363636364
361300014111.3636363636-1111.36363636364
371080011011.3636363636-211.36363636364
381380012811.3636363636988.63636363636
391260013311.3636363636-711.36363636364
401250012611.3636363636-111.36363636364
41990010711.3636363636-811.36363636364
421180012611.3636363636-811.36363636364
431240012711.3636363636-311.36363636364
441500014111.3636363636888.63636363636
451150011611.3636363636-111.36363636364
461110011311.3636363636-211.36363636364
471080011611.3636363636-811.36363636364
481270013011.3636363636-311.36363636364
491050010811.3636363636-311.36363636364
501490013811.36363636361088.63636363636
511280012611.3636363636188.63636363636
521230012511.3636363636-211.36363636364
5396009911.36363636364-311.36363636364
541100011811.3636363636-811.36363636364
551270012411.3636363636288.63636363636
561530015011.3636363636288.63636363636
571290011511.36363636361388.63636363636
581120011111.363636363688.6363636363603
591100010811.3636363636188.63636363636
601310012711.3636363636388.63636363636
611020010511.3636363636-311.36363636364
621510014911.3636363636188.63636363636
631260012811.3636363636-211.36363636364
641160012311.3636363636-711.36363636364
6597009611.3636363636488.6363636363603
661020011011.3636363636-811.36363636364
671210012711.3636363636-611.36363636364
681530015311.3636363636-11.3636363636397
691350012911.3636363636588.63636363636
701070011211.3636363636-511.36363636364
711140011011.3636363636388.63636363636
721250013111.3636363636-611.36363636364
73930010211.3636363636-911.36363636364
741510015111.3636363636-11.3636363636397
751230012611.3636363636-311.36363636364
761180011611.3636363636188.63636363636
7796009711.36363636364-111.36363636364
78960010211.3636363636-611.36363636364
791240012111.3636363636288.63636363636
801640015311.36363636361088.63636363636
811350013511.3636363636-11.3636363636397
821100010711.3636363636288.63636363636
831120011411.3636363636-211.36363636364
841290012511.3636363636388.63636363636
8589009311.36363636364-411.36363636364
861560015111.3636363636488.63636363636
871250012311.3636363636188.63636363636
881170011811.3636363636-111.36363636364
8990009611.36363636364-611.36363636364
9086009611.36363636364-1011.36363636364
911310012411.3636363636688.63636363636
921610016411.3636363636-311.36363636364
931440013511.3636363636888.63636363636
941130011011.3636363636288.63636363636
951220011211.3636363636988.63636363636
961400012911.36363636361088.63636363636
9793008911.36363636364388.63636363636
981490015611.3636363636-711.36363636364
991250012511.3636363636-11.3636363636397
1001160011711.3636363636-111.36363636364
10191009011.3636363636488.6363636363603
10288008611.36363636364188.63636363636
1031300013111.3636363636-111.36363636364
1041550016111.3636363636-611.36363636364
1051460014411.3636363636188.63636363636
1061120011311.3636363636-111.36363636364
1071270012211.3636363636488.63636363636
1081410014011.363636363688.6363636363603

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 11300 & 11282.9861111111 & 17.013888888885 \tabularnewline
14 & 12600 & 12567.2664141414 & 32.7335858585811 \tabularnewline
15 & 12600 & 12559.8800505051 & 40.1199494949433 \tabularnewline
16 & 12600 & 12585.827020202 & 14.1729797979751 \tabularnewline
17 & 11300 & 11307.6073232323 & -7.60732323232878 \tabularnewline
18 & 12200 & 12212.720959596 & -12.7209595959648 \tabularnewline
19 & 11800 & 11942.8345959596 & -142.834595959601 \tabularnewline
20 & 12800 & 12310.4482323232 & 489.551767676761 \tabularnewline
21 & 11400 & 11678.0618686869 & -278.061868686875 \tabularnewline
22 & 11600 & 11862.3421717172 & -262.342171717177 \tabularnewline
23 & 11700 & 11892.4558080808 & -192.455808080816 \tabularnewline
24 & 14100 & 14001.7361111111 & 98.2638888888832 \tabularnewline
25 & 11000 & 11311.3636363636 & -311.36363636364 \tabularnewline
26 & 12800 & 12611.3636363636 & 188.63636363636 \tabularnewline
27 & 13300 & 12611.3636363636 & 688.63636363636 \tabularnewline
28 & 12600 & 12611.3636363636 & -11.3636363636397 \tabularnewline
29 & 10700 & 11311.3636363636 & -611.36363636364 \tabularnewline
30 & 12600 & 12211.3636363636 & 388.63636363636 \tabularnewline
31 & 12700 & 11811.3636363636 & 888.63636363636 \tabularnewline
32 & 14100 & 12811.3636363636 & 1288.63636363636 \tabularnewline
33 & 11600 & 11411.3636363636 & 188.63636363636 \tabularnewline
34 & 11300 & 11611.3636363636 & -311.36363636364 \tabularnewline
35 & 11600 & 11711.3636363636 & -111.36363636364 \tabularnewline
36 & 13000 & 14111.3636363636 & -1111.36363636364 \tabularnewline
37 & 10800 & 11011.3636363636 & -211.36363636364 \tabularnewline
38 & 13800 & 12811.3636363636 & 988.63636363636 \tabularnewline
39 & 12600 & 13311.3636363636 & -711.36363636364 \tabularnewline
40 & 12500 & 12611.3636363636 & -111.36363636364 \tabularnewline
41 & 9900 & 10711.3636363636 & -811.36363636364 \tabularnewline
42 & 11800 & 12611.3636363636 & -811.36363636364 \tabularnewline
43 & 12400 & 12711.3636363636 & -311.36363636364 \tabularnewline
44 & 15000 & 14111.3636363636 & 888.63636363636 \tabularnewline
45 & 11500 & 11611.3636363636 & -111.36363636364 \tabularnewline
46 & 11100 & 11311.3636363636 & -211.36363636364 \tabularnewline
47 & 10800 & 11611.3636363636 & -811.36363636364 \tabularnewline
48 & 12700 & 13011.3636363636 & -311.36363636364 \tabularnewline
49 & 10500 & 10811.3636363636 & -311.36363636364 \tabularnewline
50 & 14900 & 13811.3636363636 & 1088.63636363636 \tabularnewline
51 & 12800 & 12611.3636363636 & 188.63636363636 \tabularnewline
52 & 12300 & 12511.3636363636 & -211.36363636364 \tabularnewline
53 & 9600 & 9911.36363636364 & -311.36363636364 \tabularnewline
54 & 11000 & 11811.3636363636 & -811.36363636364 \tabularnewline
55 & 12700 & 12411.3636363636 & 288.63636363636 \tabularnewline
56 & 15300 & 15011.3636363636 & 288.63636363636 \tabularnewline
57 & 12900 & 11511.3636363636 & 1388.63636363636 \tabularnewline
58 & 11200 & 11111.3636363636 & 88.6363636363603 \tabularnewline
59 & 11000 & 10811.3636363636 & 188.63636363636 \tabularnewline
60 & 13100 & 12711.3636363636 & 388.63636363636 \tabularnewline
61 & 10200 & 10511.3636363636 & -311.36363636364 \tabularnewline
62 & 15100 & 14911.3636363636 & 188.63636363636 \tabularnewline
63 & 12600 & 12811.3636363636 & -211.36363636364 \tabularnewline
64 & 11600 & 12311.3636363636 & -711.36363636364 \tabularnewline
65 & 9700 & 9611.36363636364 & 88.6363636363603 \tabularnewline
66 & 10200 & 11011.3636363636 & -811.36363636364 \tabularnewline
67 & 12100 & 12711.3636363636 & -611.36363636364 \tabularnewline
68 & 15300 & 15311.3636363636 & -11.3636363636397 \tabularnewline
69 & 13500 & 12911.3636363636 & 588.63636363636 \tabularnewline
70 & 10700 & 11211.3636363636 & -511.36363636364 \tabularnewline
71 & 11400 & 11011.3636363636 & 388.63636363636 \tabularnewline
72 & 12500 & 13111.3636363636 & -611.36363636364 \tabularnewline
73 & 9300 & 10211.3636363636 & -911.36363636364 \tabularnewline
74 & 15100 & 15111.3636363636 & -11.3636363636397 \tabularnewline
75 & 12300 & 12611.3636363636 & -311.36363636364 \tabularnewline
76 & 11800 & 11611.3636363636 & 188.63636363636 \tabularnewline
77 & 9600 & 9711.36363636364 & -111.36363636364 \tabularnewline
78 & 9600 & 10211.3636363636 & -611.36363636364 \tabularnewline
79 & 12400 & 12111.3636363636 & 288.63636363636 \tabularnewline
80 & 16400 & 15311.3636363636 & 1088.63636363636 \tabularnewline
81 & 13500 & 13511.3636363636 & -11.3636363636397 \tabularnewline
82 & 11000 & 10711.3636363636 & 288.63636363636 \tabularnewline
83 & 11200 & 11411.3636363636 & -211.36363636364 \tabularnewline
84 & 12900 & 12511.3636363636 & 388.63636363636 \tabularnewline
85 & 8900 & 9311.36363636364 & -411.36363636364 \tabularnewline
86 & 15600 & 15111.3636363636 & 488.63636363636 \tabularnewline
87 & 12500 & 12311.3636363636 & 188.63636363636 \tabularnewline
88 & 11700 & 11811.3636363636 & -111.36363636364 \tabularnewline
89 & 9000 & 9611.36363636364 & -611.36363636364 \tabularnewline
90 & 8600 & 9611.36363636364 & -1011.36363636364 \tabularnewline
91 & 13100 & 12411.3636363636 & 688.63636363636 \tabularnewline
92 & 16100 & 16411.3636363636 & -311.36363636364 \tabularnewline
93 & 14400 & 13511.3636363636 & 888.63636363636 \tabularnewline
94 & 11300 & 11011.3636363636 & 288.63636363636 \tabularnewline
95 & 12200 & 11211.3636363636 & 988.63636363636 \tabularnewline
96 & 14000 & 12911.3636363636 & 1088.63636363636 \tabularnewline
97 & 9300 & 8911.36363636364 & 388.63636363636 \tabularnewline
98 & 14900 & 15611.3636363636 & -711.36363636364 \tabularnewline
99 & 12500 & 12511.3636363636 & -11.3636363636397 \tabularnewline
100 & 11600 & 11711.3636363636 & -111.36363636364 \tabularnewline
101 & 9100 & 9011.36363636364 & 88.6363636363603 \tabularnewline
102 & 8800 & 8611.36363636364 & 188.63636363636 \tabularnewline
103 & 13000 & 13111.3636363636 & -111.36363636364 \tabularnewline
104 & 15500 & 16111.3636363636 & -611.36363636364 \tabularnewline
105 & 14600 & 14411.3636363636 & 188.63636363636 \tabularnewline
106 & 11200 & 11311.3636363636 & -111.36363636364 \tabularnewline
107 & 12700 & 12211.3636363636 & 488.63636363636 \tabularnewline
108 & 14100 & 14011.3636363636 & 88.6363636363603 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235327&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]11300[/C][C]11282.9861111111[/C][C]17.013888888885[/C][/ROW]
[ROW][C]14[/C][C]12600[/C][C]12567.2664141414[/C][C]32.7335858585811[/C][/ROW]
[ROW][C]15[/C][C]12600[/C][C]12559.8800505051[/C][C]40.1199494949433[/C][/ROW]
[ROW][C]16[/C][C]12600[/C][C]12585.827020202[/C][C]14.1729797979751[/C][/ROW]
[ROW][C]17[/C][C]11300[/C][C]11307.6073232323[/C][C]-7.60732323232878[/C][/ROW]
[ROW][C]18[/C][C]12200[/C][C]12212.720959596[/C][C]-12.7209595959648[/C][/ROW]
[ROW][C]19[/C][C]11800[/C][C]11942.8345959596[/C][C]-142.834595959601[/C][/ROW]
[ROW][C]20[/C][C]12800[/C][C]12310.4482323232[/C][C]489.551767676761[/C][/ROW]
[ROW][C]21[/C][C]11400[/C][C]11678.0618686869[/C][C]-278.061868686875[/C][/ROW]
[ROW][C]22[/C][C]11600[/C][C]11862.3421717172[/C][C]-262.342171717177[/C][/ROW]
[ROW][C]23[/C][C]11700[/C][C]11892.4558080808[/C][C]-192.455808080816[/C][/ROW]
[ROW][C]24[/C][C]14100[/C][C]14001.7361111111[/C][C]98.2638888888832[/C][/ROW]
[ROW][C]25[/C][C]11000[/C][C]11311.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]26[/C][C]12800[/C][C]12611.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]27[/C][C]13300[/C][C]12611.3636363636[/C][C]688.63636363636[/C][/ROW]
[ROW][C]28[/C][C]12600[/C][C]12611.3636363636[/C][C]-11.3636363636397[/C][/ROW]
[ROW][C]29[/C][C]10700[/C][C]11311.3636363636[/C][C]-611.36363636364[/C][/ROW]
[ROW][C]30[/C][C]12600[/C][C]12211.3636363636[/C][C]388.63636363636[/C][/ROW]
[ROW][C]31[/C][C]12700[/C][C]11811.3636363636[/C][C]888.63636363636[/C][/ROW]
[ROW][C]32[/C][C]14100[/C][C]12811.3636363636[/C][C]1288.63636363636[/C][/ROW]
[ROW][C]33[/C][C]11600[/C][C]11411.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]34[/C][C]11300[/C][C]11611.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]35[/C][C]11600[/C][C]11711.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]36[/C][C]13000[/C][C]14111.3636363636[/C][C]-1111.36363636364[/C][/ROW]
[ROW][C]37[/C][C]10800[/C][C]11011.3636363636[/C][C]-211.36363636364[/C][/ROW]
[ROW][C]38[/C][C]13800[/C][C]12811.3636363636[/C][C]988.63636363636[/C][/ROW]
[ROW][C]39[/C][C]12600[/C][C]13311.3636363636[/C][C]-711.36363636364[/C][/ROW]
[ROW][C]40[/C][C]12500[/C][C]12611.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]41[/C][C]9900[/C][C]10711.3636363636[/C][C]-811.36363636364[/C][/ROW]
[ROW][C]42[/C][C]11800[/C][C]12611.3636363636[/C][C]-811.36363636364[/C][/ROW]
[ROW][C]43[/C][C]12400[/C][C]12711.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]44[/C][C]15000[/C][C]14111.3636363636[/C][C]888.63636363636[/C][/ROW]
[ROW][C]45[/C][C]11500[/C][C]11611.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]46[/C][C]11100[/C][C]11311.3636363636[/C][C]-211.36363636364[/C][/ROW]
[ROW][C]47[/C][C]10800[/C][C]11611.3636363636[/C][C]-811.36363636364[/C][/ROW]
[ROW][C]48[/C][C]12700[/C][C]13011.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]49[/C][C]10500[/C][C]10811.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]50[/C][C]14900[/C][C]13811.3636363636[/C][C]1088.63636363636[/C][/ROW]
[ROW][C]51[/C][C]12800[/C][C]12611.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]52[/C][C]12300[/C][C]12511.3636363636[/C][C]-211.36363636364[/C][/ROW]
[ROW][C]53[/C][C]9600[/C][C]9911.36363636364[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]54[/C][C]11000[/C][C]11811.3636363636[/C][C]-811.36363636364[/C][/ROW]
[ROW][C]55[/C][C]12700[/C][C]12411.3636363636[/C][C]288.63636363636[/C][/ROW]
[ROW][C]56[/C][C]15300[/C][C]15011.3636363636[/C][C]288.63636363636[/C][/ROW]
[ROW][C]57[/C][C]12900[/C][C]11511.3636363636[/C][C]1388.63636363636[/C][/ROW]
[ROW][C]58[/C][C]11200[/C][C]11111.3636363636[/C][C]88.6363636363603[/C][/ROW]
[ROW][C]59[/C][C]11000[/C][C]10811.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]60[/C][C]13100[/C][C]12711.3636363636[/C][C]388.63636363636[/C][/ROW]
[ROW][C]61[/C][C]10200[/C][C]10511.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]62[/C][C]15100[/C][C]14911.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]63[/C][C]12600[/C][C]12811.3636363636[/C][C]-211.36363636364[/C][/ROW]
[ROW][C]64[/C][C]11600[/C][C]12311.3636363636[/C][C]-711.36363636364[/C][/ROW]
[ROW][C]65[/C][C]9700[/C][C]9611.36363636364[/C][C]88.6363636363603[/C][/ROW]
[ROW][C]66[/C][C]10200[/C][C]11011.3636363636[/C][C]-811.36363636364[/C][/ROW]
[ROW][C]67[/C][C]12100[/C][C]12711.3636363636[/C][C]-611.36363636364[/C][/ROW]
[ROW][C]68[/C][C]15300[/C][C]15311.3636363636[/C][C]-11.3636363636397[/C][/ROW]
[ROW][C]69[/C][C]13500[/C][C]12911.3636363636[/C][C]588.63636363636[/C][/ROW]
[ROW][C]70[/C][C]10700[/C][C]11211.3636363636[/C][C]-511.36363636364[/C][/ROW]
[ROW][C]71[/C][C]11400[/C][C]11011.3636363636[/C][C]388.63636363636[/C][/ROW]
[ROW][C]72[/C][C]12500[/C][C]13111.3636363636[/C][C]-611.36363636364[/C][/ROW]
[ROW][C]73[/C][C]9300[/C][C]10211.3636363636[/C][C]-911.36363636364[/C][/ROW]
[ROW][C]74[/C][C]15100[/C][C]15111.3636363636[/C][C]-11.3636363636397[/C][/ROW]
[ROW][C]75[/C][C]12300[/C][C]12611.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]76[/C][C]11800[/C][C]11611.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]77[/C][C]9600[/C][C]9711.36363636364[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]78[/C][C]9600[/C][C]10211.3636363636[/C][C]-611.36363636364[/C][/ROW]
[ROW][C]79[/C][C]12400[/C][C]12111.3636363636[/C][C]288.63636363636[/C][/ROW]
[ROW][C]80[/C][C]16400[/C][C]15311.3636363636[/C][C]1088.63636363636[/C][/ROW]
[ROW][C]81[/C][C]13500[/C][C]13511.3636363636[/C][C]-11.3636363636397[/C][/ROW]
[ROW][C]82[/C][C]11000[/C][C]10711.3636363636[/C][C]288.63636363636[/C][/ROW]
[ROW][C]83[/C][C]11200[/C][C]11411.3636363636[/C][C]-211.36363636364[/C][/ROW]
[ROW][C]84[/C][C]12900[/C][C]12511.3636363636[/C][C]388.63636363636[/C][/ROW]
[ROW][C]85[/C][C]8900[/C][C]9311.36363636364[/C][C]-411.36363636364[/C][/ROW]
[ROW][C]86[/C][C]15600[/C][C]15111.3636363636[/C][C]488.63636363636[/C][/ROW]
[ROW][C]87[/C][C]12500[/C][C]12311.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]88[/C][C]11700[/C][C]11811.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]89[/C][C]9000[/C][C]9611.36363636364[/C][C]-611.36363636364[/C][/ROW]
[ROW][C]90[/C][C]8600[/C][C]9611.36363636364[/C][C]-1011.36363636364[/C][/ROW]
[ROW][C]91[/C][C]13100[/C][C]12411.3636363636[/C][C]688.63636363636[/C][/ROW]
[ROW][C]92[/C][C]16100[/C][C]16411.3636363636[/C][C]-311.36363636364[/C][/ROW]
[ROW][C]93[/C][C]14400[/C][C]13511.3636363636[/C][C]888.63636363636[/C][/ROW]
[ROW][C]94[/C][C]11300[/C][C]11011.3636363636[/C][C]288.63636363636[/C][/ROW]
[ROW][C]95[/C][C]12200[/C][C]11211.3636363636[/C][C]988.63636363636[/C][/ROW]
[ROW][C]96[/C][C]14000[/C][C]12911.3636363636[/C][C]1088.63636363636[/C][/ROW]
[ROW][C]97[/C][C]9300[/C][C]8911.36363636364[/C][C]388.63636363636[/C][/ROW]
[ROW][C]98[/C][C]14900[/C][C]15611.3636363636[/C][C]-711.36363636364[/C][/ROW]
[ROW][C]99[/C][C]12500[/C][C]12511.3636363636[/C][C]-11.3636363636397[/C][/ROW]
[ROW][C]100[/C][C]11600[/C][C]11711.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]101[/C][C]9100[/C][C]9011.36363636364[/C][C]88.6363636363603[/C][/ROW]
[ROW][C]102[/C][C]8800[/C][C]8611.36363636364[/C][C]188.63636363636[/C][/ROW]
[ROW][C]103[/C][C]13000[/C][C]13111.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]104[/C][C]15500[/C][C]16111.3636363636[/C][C]-611.36363636364[/C][/ROW]
[ROW][C]105[/C][C]14600[/C][C]14411.3636363636[/C][C]188.63636363636[/C][/ROW]
[ROW][C]106[/C][C]11200[/C][C]11311.3636363636[/C][C]-111.36363636364[/C][/ROW]
[ROW][C]107[/C][C]12700[/C][C]12211.3636363636[/C][C]488.63636363636[/C][/ROW]
[ROW][C]108[/C][C]14100[/C][C]14011.3636363636[/C][C]88.6363636363603[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235327&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235327&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
131130011282.986111111117.013888888885
141260012567.266414141432.7335858585811
151260012559.880050505140.1199494949433
161260012585.82702020214.1729797979751
171130011307.6073232323-7.60732323232878
181220012212.720959596-12.7209595959648
191180011942.8345959596-142.834595959601
201280012310.4482323232489.551767676761
211140011678.0618686869-278.061868686875
221160011862.3421717172-262.342171717177
231170011892.4558080808-192.455808080816
241410014001.736111111198.2638888888832
251100011311.3636363636-311.36363636364
261280012611.3636363636188.63636363636
271330012611.3636363636688.63636363636
281260012611.3636363636-11.3636363636397
291070011311.3636363636-611.36363636364
301260012211.3636363636388.63636363636
311270011811.3636363636888.63636363636
321410012811.36363636361288.63636363636
331160011411.3636363636188.63636363636
341130011611.3636363636-311.36363636364
351160011711.3636363636-111.36363636364
361300014111.3636363636-1111.36363636364
371080011011.3636363636-211.36363636364
381380012811.3636363636988.63636363636
391260013311.3636363636-711.36363636364
401250012611.3636363636-111.36363636364
41990010711.3636363636-811.36363636364
421180012611.3636363636-811.36363636364
431240012711.3636363636-311.36363636364
441500014111.3636363636888.63636363636
451150011611.3636363636-111.36363636364
461110011311.3636363636-211.36363636364
471080011611.3636363636-811.36363636364
481270013011.3636363636-311.36363636364
491050010811.3636363636-311.36363636364
501490013811.36363636361088.63636363636
511280012611.3636363636188.63636363636
521230012511.3636363636-211.36363636364
5396009911.36363636364-311.36363636364
541100011811.3636363636-811.36363636364
551270012411.3636363636288.63636363636
561530015011.3636363636288.63636363636
571290011511.36363636361388.63636363636
581120011111.363636363688.6363636363603
591100010811.3636363636188.63636363636
601310012711.3636363636388.63636363636
611020010511.3636363636-311.36363636364
621510014911.3636363636188.63636363636
631260012811.3636363636-211.36363636364
641160012311.3636363636-711.36363636364
6597009611.3636363636488.6363636363603
661020011011.3636363636-811.36363636364
671210012711.3636363636-611.36363636364
681530015311.3636363636-11.3636363636397
691350012911.3636363636588.63636363636
701070011211.3636363636-511.36363636364
711140011011.3636363636388.63636363636
721250013111.3636363636-611.36363636364
73930010211.3636363636-911.36363636364
741510015111.3636363636-11.3636363636397
751230012611.3636363636-311.36363636364
761180011611.3636363636188.63636363636
7796009711.36363636364-111.36363636364
78960010211.3636363636-611.36363636364
791240012111.3636363636288.63636363636
801640015311.36363636361088.63636363636
811350013511.3636363636-11.3636363636397
821100010711.3636363636288.63636363636
831120011411.3636363636-211.36363636364
841290012511.3636363636388.63636363636
8589009311.36363636364-411.36363636364
861560015111.3636363636488.63636363636
871250012311.3636363636188.63636363636
881170011811.3636363636-111.36363636364
8990009611.36363636364-611.36363636364
9086009611.36363636364-1011.36363636364
911310012411.3636363636688.63636363636
921610016411.3636363636-311.36363636364
931440013511.3636363636888.63636363636
941130011011.3636363636288.63636363636
951220011211.3636363636988.63636363636
961400012911.36363636361088.63636363636
9793008911.36363636364388.63636363636
981490015611.3636363636-711.36363636364
991250012511.3636363636-11.3636363636397
1001160011711.3636363636-111.36363636364
10191009011.3636363636488.6363636363603
10288008611.36363636364188.63636363636
1031300013111.3636363636-111.36363636364
1041550016111.3636363636-611.36363636364
1051460014411.3636363636188.63636363636
1061120011311.3636363636-111.36363636364
1071270012211.3636363636488.63636363636
1081410014011.363636363688.6363636363603







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1099311.363636363648266.7235539383710356.0037187889
11014911.363636363613866.723553938415956.0037187889
11112511.363636363611466.723553938413556.0037187889
11211611.363636363610566.723553938412656.0037187889
1139111.363636363648066.7235539383610156.0037187889
1148811.363636363647766.723553938369856.00371878891
11513011.363636363611966.723553938414056.0037187889
11615511.363636363614466.723553938416556.0037187889
11714611.363636363613566.723553938415656.0037187889
11811211.363636363610166.723553938412256.0037187889
11912711.363636363611666.723553938413756.0037187889
12014111.363636363613066.723553938415156.0037187889

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
109 & 9311.36363636364 & 8266.72355393837 & 10356.0037187889 \tabularnewline
110 & 14911.3636363636 & 13866.7235539384 & 15956.0037187889 \tabularnewline
111 & 12511.3636363636 & 11466.7235539384 & 13556.0037187889 \tabularnewline
112 & 11611.3636363636 & 10566.7235539384 & 12656.0037187889 \tabularnewline
113 & 9111.36363636364 & 8066.72355393836 & 10156.0037187889 \tabularnewline
114 & 8811.36363636364 & 7766.72355393836 & 9856.00371878891 \tabularnewline
115 & 13011.3636363636 & 11966.7235539384 & 14056.0037187889 \tabularnewline
116 & 15511.3636363636 & 14466.7235539384 & 16556.0037187889 \tabularnewline
117 & 14611.3636363636 & 13566.7235539384 & 15656.0037187889 \tabularnewline
118 & 11211.3636363636 & 10166.7235539384 & 12256.0037187889 \tabularnewline
119 & 12711.3636363636 & 11666.7235539384 & 13756.0037187889 \tabularnewline
120 & 14111.3636363636 & 13066.7235539384 & 15156.0037187889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235327&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]9311.36363636364[/C][C]8266.72355393837[/C][C]10356.0037187889[/C][/ROW]
[ROW][C]110[/C][C]14911.3636363636[/C][C]13866.7235539384[/C][C]15956.0037187889[/C][/ROW]
[ROW][C]111[/C][C]12511.3636363636[/C][C]11466.7235539384[/C][C]13556.0037187889[/C][/ROW]
[ROW][C]112[/C][C]11611.3636363636[/C][C]10566.7235539384[/C][C]12656.0037187889[/C][/ROW]
[ROW][C]113[/C][C]9111.36363636364[/C][C]8066.72355393836[/C][C]10156.0037187889[/C][/ROW]
[ROW][C]114[/C][C]8811.36363636364[/C][C]7766.72355393836[/C][C]9856.00371878891[/C][/ROW]
[ROW][C]115[/C][C]13011.3636363636[/C][C]11966.7235539384[/C][C]14056.0037187889[/C][/ROW]
[ROW][C]116[/C][C]15511.3636363636[/C][C]14466.7235539384[/C][C]16556.0037187889[/C][/ROW]
[ROW][C]117[/C][C]14611.3636363636[/C][C]13566.7235539384[/C][C]15656.0037187889[/C][/ROW]
[ROW][C]118[/C][C]11211.3636363636[/C][C]10166.7235539384[/C][C]12256.0037187889[/C][/ROW]
[ROW][C]119[/C][C]12711.3636363636[/C][C]11666.7235539384[/C][C]13756.0037187889[/C][/ROW]
[ROW][C]120[/C][C]14111.3636363636[/C][C]13066.7235539384[/C][C]15156.0037187889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235327&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235327&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
1099311.363636363648266.7235539383710356.0037187889
11014911.363636363613866.723553938415956.0037187889
11112511.363636363611466.723553938413556.0037187889
11211611.363636363610566.723553938412656.0037187889
1139111.363636363648066.7235539383610156.0037187889
1148811.363636363647766.723553938369856.00371878891
11513011.363636363611966.723553938414056.0037187889
11615511.363636363614466.723553938416556.0037187889
11714611.363636363613566.723553938415656.0037187889
11811211.363636363610166.723553938412256.0037187889
11912711.363636363611666.723553938413756.0037187889
12014111.363636363613066.723553938415156.0037187889



Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')