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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 computationSat, 24 Jan 2009 14:00:07 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/24/t1232830850w2lw3bhzektxrq5.htm/, Retrieved Tue, 07 May 2024 16:02:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36952, Retrieved Tue, 07 May 2024 16:02:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact225
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Nieuwe personenwa...] [2009-01-13 17:37:29] [74be16979710d4c4e7c6647856088456]
-       [Classical Decomposition] [roger dirkx oefen...] [2009-01-14 16:39:03] [74be16979710d4c4e7c6647856088456]
- RMPD      [Exponential Smoothing] [roger dirkx oef 10] [2009-01-24 21:00:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,43
0,43
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,43
0,44
0,44
0,46
0,46
0,46
0,46
0,46
0,45
0,45
0,46
0,46
0,46
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36952&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36952&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36952&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.901195666206922
beta0.0222903348618369
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.901195666206922 \tabularnewline
beta & 0.0222903348618369 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36952&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]0.901195666206922[/C][/ROW]
[ROW][C]beta[/C][C]0.0222903348618369[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36952&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36952&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
alpha0.901195666206922
beta0.0222903348618369
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
30.410.410
40.410.410
50.410.410
60.410.410
70.410.410
80.410.410
90.410.410
100.410.410
110.410.410
120.410.410
130.410.410
140.410.410
150.410.410
160.410.410
170.410.410
180.410.410
190.410.410
200.410.410
210.410.410
220.420.410.01
230.420.4192128361938270.000787163806172886
240.420.420138916845983-0.000138916845983050
250.420.420227627072761-0.000227627072760528
260.420.420231819465639-0.000231819465638716
270.420.420227576913653-0.000227576913653105
280.420.420222586176745-0.000222586176745199
290.420.420217621769614-0.000217621769613818
300.420.420212759688756-0.000212759688756503
310.420.420208005387431-0.000208005387431154
320.420.420203357239373-0.000203357239372981
330.420.420198812951498-0.000198812951498206
340.420.420194370210902-0.000194370210901795
350.420.420190026749182-0.00019002674918156
360.430.42018578034790.00981421965209972
370.430.4293944650319480.00060553496805188
380.440.4303164869453500.00968351305464954
390.440.4396140653251350.000385934674864974
400.440.440540459000516-0.000540459000516136
410.440.440621133995346-0.000621133995346468
420.440.44061662772385-0.000616627723850072
430.440.440603795695853-0.000603795695853337
440.440.44059039881621-0.000590398816209925
450.440.440577215242667-0.000577215242666795
460.440.440564317575699-0.000564317575698803
470.440.44055170724527-0.000551707245269595
480.440.440539378620663-0.000539378620662889
490.430.440527325486646-0.0105273254866461
500.440.4313027055012580.00869729449874174
510.440.4395779405758240.000422059424176335
520.460.4404040479742970.0195959520257025
530.460.4589032268563110.001096773143689
540.460.460753057829022-0.000753057829022241
550.460.460920701755503-0.00092070175550274
560.460.460918770688220-0.00091877068821966
570.450.460900123667839-0.0109001236678390
580.450.451667363425494-0.00166736342549395
590.460.4507216327822600.0092783672177405
600.460.4598265305643940.000173469435605977
610.460.460729618569912-0.000729618569911772
620.470.4608041910349850.00919580896501504
630.470.470008240759688-8.24075968763882e-06
640.470.470917475220941-0.000917475220940545
650.470.470988881326868-0.00098888132686814
660.470.470976071957803-0.000976071957802527
670.470.470955199048841-0.000955199048841227
680.470.47093394872121-0.000933948721210276
690.470.470913087978566-0.000913087978565597
700.470.470892684778227-0.000892684778227293
710.470.470872736643585-0.000872736643584893
720.470.4708532341886-0.000853234188600005

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 0.41 & 0.41 & 0 \tabularnewline
4 & 0.41 & 0.41 & 0 \tabularnewline
5 & 0.41 & 0.41 & 0 \tabularnewline
6 & 0.41 & 0.41 & 0 \tabularnewline
7 & 0.41 & 0.41 & 0 \tabularnewline
8 & 0.41 & 0.41 & 0 \tabularnewline
9 & 0.41 & 0.41 & 0 \tabularnewline
10 & 0.41 & 0.41 & 0 \tabularnewline
11 & 0.41 & 0.41 & 0 \tabularnewline
12 & 0.41 & 0.41 & 0 \tabularnewline
13 & 0.41 & 0.41 & 0 \tabularnewline
14 & 0.41 & 0.41 & 0 \tabularnewline
15 & 0.41 & 0.41 & 0 \tabularnewline
16 & 0.41 & 0.41 & 0 \tabularnewline
17 & 0.41 & 0.41 & 0 \tabularnewline
18 & 0.41 & 0.41 & 0 \tabularnewline
19 & 0.41 & 0.41 & 0 \tabularnewline
20 & 0.41 & 0.41 & 0 \tabularnewline
21 & 0.41 & 0.41 & 0 \tabularnewline
22 & 0.42 & 0.41 & 0.01 \tabularnewline
23 & 0.42 & 0.419212836193827 & 0.000787163806172886 \tabularnewline
24 & 0.42 & 0.420138916845983 & -0.000138916845983050 \tabularnewline
25 & 0.42 & 0.420227627072761 & -0.000227627072760528 \tabularnewline
26 & 0.42 & 0.420231819465639 & -0.000231819465638716 \tabularnewline
27 & 0.42 & 0.420227576913653 & -0.000227576913653105 \tabularnewline
28 & 0.42 & 0.420222586176745 & -0.000222586176745199 \tabularnewline
29 & 0.42 & 0.420217621769614 & -0.000217621769613818 \tabularnewline
30 & 0.42 & 0.420212759688756 & -0.000212759688756503 \tabularnewline
31 & 0.42 & 0.420208005387431 & -0.000208005387431154 \tabularnewline
32 & 0.42 & 0.420203357239373 & -0.000203357239372981 \tabularnewline
33 & 0.42 & 0.420198812951498 & -0.000198812951498206 \tabularnewline
34 & 0.42 & 0.420194370210902 & -0.000194370210901795 \tabularnewline
35 & 0.42 & 0.420190026749182 & -0.00019002674918156 \tabularnewline
36 & 0.43 & 0.4201857803479 & 0.00981421965209972 \tabularnewline
37 & 0.43 & 0.429394465031948 & 0.00060553496805188 \tabularnewline
38 & 0.44 & 0.430316486945350 & 0.00968351305464954 \tabularnewline
39 & 0.44 & 0.439614065325135 & 0.000385934674864974 \tabularnewline
40 & 0.44 & 0.440540459000516 & -0.000540459000516136 \tabularnewline
41 & 0.44 & 0.440621133995346 & -0.000621133995346468 \tabularnewline
42 & 0.44 & 0.44061662772385 & -0.000616627723850072 \tabularnewline
43 & 0.44 & 0.440603795695853 & -0.000603795695853337 \tabularnewline
44 & 0.44 & 0.44059039881621 & -0.000590398816209925 \tabularnewline
45 & 0.44 & 0.440577215242667 & -0.000577215242666795 \tabularnewline
46 & 0.44 & 0.440564317575699 & -0.000564317575698803 \tabularnewline
47 & 0.44 & 0.44055170724527 & -0.000551707245269595 \tabularnewline
48 & 0.44 & 0.440539378620663 & -0.000539378620662889 \tabularnewline
49 & 0.43 & 0.440527325486646 & -0.0105273254866461 \tabularnewline
50 & 0.44 & 0.431302705501258 & 0.00869729449874174 \tabularnewline
51 & 0.44 & 0.439577940575824 & 0.000422059424176335 \tabularnewline
52 & 0.46 & 0.440404047974297 & 0.0195959520257025 \tabularnewline
53 & 0.46 & 0.458903226856311 & 0.001096773143689 \tabularnewline
54 & 0.46 & 0.460753057829022 & -0.000753057829022241 \tabularnewline
55 & 0.46 & 0.460920701755503 & -0.00092070175550274 \tabularnewline
56 & 0.46 & 0.460918770688220 & -0.00091877068821966 \tabularnewline
57 & 0.45 & 0.460900123667839 & -0.0109001236678390 \tabularnewline
58 & 0.45 & 0.451667363425494 & -0.00166736342549395 \tabularnewline
59 & 0.46 & 0.450721632782260 & 0.0092783672177405 \tabularnewline
60 & 0.46 & 0.459826530564394 & 0.000173469435605977 \tabularnewline
61 & 0.46 & 0.460729618569912 & -0.000729618569911772 \tabularnewline
62 & 0.47 & 0.460804191034985 & 0.00919580896501504 \tabularnewline
63 & 0.47 & 0.470008240759688 & -8.24075968763882e-06 \tabularnewline
64 & 0.47 & 0.470917475220941 & -0.000917475220940545 \tabularnewline
65 & 0.47 & 0.470988881326868 & -0.00098888132686814 \tabularnewline
66 & 0.47 & 0.470976071957803 & -0.000976071957802527 \tabularnewline
67 & 0.47 & 0.470955199048841 & -0.000955199048841227 \tabularnewline
68 & 0.47 & 0.47093394872121 & -0.000933948721210276 \tabularnewline
69 & 0.47 & 0.470913087978566 & -0.000913087978565597 \tabularnewline
70 & 0.47 & 0.470892684778227 & -0.000892684778227293 \tabularnewline
71 & 0.47 & 0.470872736643585 & -0.000872736643584893 \tabularnewline
72 & 0.47 & 0.4708532341886 & -0.000853234188600005 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36952&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]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]15[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]0.41[/C][C]0.41[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]0.42[/C][C]0.41[/C][C]0.01[/C][/ROW]
[ROW][C]23[/C][C]0.42[/C][C]0.419212836193827[/C][C]0.000787163806172886[/C][/ROW]
[ROW][C]24[/C][C]0.42[/C][C]0.420138916845983[/C][C]-0.000138916845983050[/C][/ROW]
[ROW][C]25[/C][C]0.42[/C][C]0.420227627072761[/C][C]-0.000227627072760528[/C][/ROW]
[ROW][C]26[/C][C]0.42[/C][C]0.420231819465639[/C][C]-0.000231819465638716[/C][/ROW]
[ROW][C]27[/C][C]0.42[/C][C]0.420227576913653[/C][C]-0.000227576913653105[/C][/ROW]
[ROW][C]28[/C][C]0.42[/C][C]0.420222586176745[/C][C]-0.000222586176745199[/C][/ROW]
[ROW][C]29[/C][C]0.42[/C][C]0.420217621769614[/C][C]-0.000217621769613818[/C][/ROW]
[ROW][C]30[/C][C]0.42[/C][C]0.420212759688756[/C][C]-0.000212759688756503[/C][/ROW]
[ROW][C]31[/C][C]0.42[/C][C]0.420208005387431[/C][C]-0.000208005387431154[/C][/ROW]
[ROW][C]32[/C][C]0.42[/C][C]0.420203357239373[/C][C]-0.000203357239372981[/C][/ROW]
[ROW][C]33[/C][C]0.42[/C][C]0.420198812951498[/C][C]-0.000198812951498206[/C][/ROW]
[ROW][C]34[/C][C]0.42[/C][C]0.420194370210902[/C][C]-0.000194370210901795[/C][/ROW]
[ROW][C]35[/C][C]0.42[/C][C]0.420190026749182[/C][C]-0.00019002674918156[/C][/ROW]
[ROW][C]36[/C][C]0.43[/C][C]0.4201857803479[/C][C]0.00981421965209972[/C][/ROW]
[ROW][C]37[/C][C]0.43[/C][C]0.429394465031948[/C][C]0.00060553496805188[/C][/ROW]
[ROW][C]38[/C][C]0.44[/C][C]0.430316486945350[/C][C]0.00968351305464954[/C][/ROW]
[ROW][C]39[/C][C]0.44[/C][C]0.439614065325135[/C][C]0.000385934674864974[/C][/ROW]
[ROW][C]40[/C][C]0.44[/C][C]0.440540459000516[/C][C]-0.000540459000516136[/C][/ROW]
[ROW][C]41[/C][C]0.44[/C][C]0.440621133995346[/C][C]-0.000621133995346468[/C][/ROW]
[ROW][C]42[/C][C]0.44[/C][C]0.44061662772385[/C][C]-0.000616627723850072[/C][/ROW]
[ROW][C]43[/C][C]0.44[/C][C]0.440603795695853[/C][C]-0.000603795695853337[/C][/ROW]
[ROW][C]44[/C][C]0.44[/C][C]0.44059039881621[/C][C]-0.000590398816209925[/C][/ROW]
[ROW][C]45[/C][C]0.44[/C][C]0.440577215242667[/C][C]-0.000577215242666795[/C][/ROW]
[ROW][C]46[/C][C]0.44[/C][C]0.440564317575699[/C][C]-0.000564317575698803[/C][/ROW]
[ROW][C]47[/C][C]0.44[/C][C]0.44055170724527[/C][C]-0.000551707245269595[/C][/ROW]
[ROW][C]48[/C][C]0.44[/C][C]0.440539378620663[/C][C]-0.000539378620662889[/C][/ROW]
[ROW][C]49[/C][C]0.43[/C][C]0.440527325486646[/C][C]-0.0105273254866461[/C][/ROW]
[ROW][C]50[/C][C]0.44[/C][C]0.431302705501258[/C][C]0.00869729449874174[/C][/ROW]
[ROW][C]51[/C][C]0.44[/C][C]0.439577940575824[/C][C]0.000422059424176335[/C][/ROW]
[ROW][C]52[/C][C]0.46[/C][C]0.440404047974297[/C][C]0.0195959520257025[/C][/ROW]
[ROW][C]53[/C][C]0.46[/C][C]0.458903226856311[/C][C]0.001096773143689[/C][/ROW]
[ROW][C]54[/C][C]0.46[/C][C]0.460753057829022[/C][C]-0.000753057829022241[/C][/ROW]
[ROW][C]55[/C][C]0.46[/C][C]0.460920701755503[/C][C]-0.00092070175550274[/C][/ROW]
[ROW][C]56[/C][C]0.46[/C][C]0.460918770688220[/C][C]-0.00091877068821966[/C][/ROW]
[ROW][C]57[/C][C]0.45[/C][C]0.460900123667839[/C][C]-0.0109001236678390[/C][/ROW]
[ROW][C]58[/C][C]0.45[/C][C]0.451667363425494[/C][C]-0.00166736342549395[/C][/ROW]
[ROW][C]59[/C][C]0.46[/C][C]0.450721632782260[/C][C]0.0092783672177405[/C][/ROW]
[ROW][C]60[/C][C]0.46[/C][C]0.459826530564394[/C][C]0.000173469435605977[/C][/ROW]
[ROW][C]61[/C][C]0.46[/C][C]0.460729618569912[/C][C]-0.000729618569911772[/C][/ROW]
[ROW][C]62[/C][C]0.47[/C][C]0.460804191034985[/C][C]0.00919580896501504[/C][/ROW]
[ROW][C]63[/C][C]0.47[/C][C]0.470008240759688[/C][C]-8.24075968763882e-06[/C][/ROW]
[ROW][C]64[/C][C]0.47[/C][C]0.470917475220941[/C][C]-0.000917475220940545[/C][/ROW]
[ROW][C]65[/C][C]0.47[/C][C]0.470988881326868[/C][C]-0.00098888132686814[/C][/ROW]
[ROW][C]66[/C][C]0.47[/C][C]0.470976071957803[/C][C]-0.000976071957802527[/C][/ROW]
[ROW][C]67[/C][C]0.47[/C][C]0.470955199048841[/C][C]-0.000955199048841227[/C][/ROW]
[ROW][C]68[/C][C]0.47[/C][C]0.47093394872121[/C][C]-0.000933948721210276[/C][/ROW]
[ROW][C]69[/C][C]0.47[/C][C]0.470913087978566[/C][C]-0.000913087978565597[/C][/ROW]
[ROW][C]70[/C][C]0.47[/C][C]0.470892684778227[/C][C]-0.000892684778227293[/C][/ROW]
[ROW][C]71[/C][C]0.47[/C][C]0.470872736643585[/C][C]-0.000872736643584893[/C][/ROW]
[ROW][C]72[/C][C]0.47[/C][C]0.4708532341886[/C][C]-0.000853234188600005[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36952&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36952&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
30.410.410
40.410.410
50.410.410
60.410.410
70.410.410
80.410.410
90.410.410
100.410.410
110.410.410
120.410.410
130.410.410
140.410.410
150.410.410
160.410.410
170.410.410
180.410.410
190.410.410
200.410.410
210.410.410
220.420.410.01
230.420.4192128361938270.000787163806172886
240.420.420138916845983-0.000138916845983050
250.420.420227627072761-0.000227627072760528
260.420.420231819465639-0.000231819465638716
270.420.420227576913653-0.000227576913653105
280.420.420222586176745-0.000222586176745199
290.420.420217621769614-0.000217621769613818
300.420.420212759688756-0.000212759688756503
310.420.420208005387431-0.000208005387431154
320.420.420203357239373-0.000203357239372981
330.420.420198812951498-0.000198812951498206
340.420.420194370210902-0.000194370210901795
350.420.420190026749182-0.00019002674918156
360.430.42018578034790.00981421965209972
370.430.4293944650319480.00060553496805188
380.440.4303164869453500.00968351305464954
390.440.4396140653251350.000385934674864974
400.440.440540459000516-0.000540459000516136
410.440.440621133995346-0.000621133995346468
420.440.44061662772385-0.000616627723850072
430.440.440603795695853-0.000603795695853337
440.440.44059039881621-0.000590398816209925
450.440.440577215242667-0.000577215242666795
460.440.440564317575699-0.000564317575698803
470.440.44055170724527-0.000551707245269595
480.440.440539378620663-0.000539378620662889
490.430.440527325486646-0.0105273254866461
500.440.4313027055012580.00869729449874174
510.440.4395779405758240.000422059424176335
520.460.4404040479742970.0195959520257025
530.460.4589032268563110.001096773143689
540.460.460753057829022-0.000753057829022241
550.460.460920701755503-0.00092070175550274
560.460.460918770688220-0.00091877068821966
570.450.460900123667839-0.0109001236678390
580.450.451667363425494-0.00166736342549395
590.460.4507216327822600.0092783672177405
600.460.4598265305643940.000173469435605977
610.460.460729618569912-0.000729618569911772
620.470.4608041910349850.00919580896501504
630.470.470008240759688-8.24075968763882e-06
640.470.470917475220941-0.000917475220940545
650.470.470988881326868-0.00098888132686814
660.470.470976071957803-0.000976071957802527
670.470.470955199048841-0.000955199048841227
680.470.47093394872121-0.000933948721210276
690.470.470913087978566-0.000913087978565597
700.470.470892684778227-0.000892684778227293
710.470.470872736643585-0.000872736643584893
720.470.4708532341886-0.000853234188600005







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.4708341675330990.4628345772231210.478833757843078
740.4715840318306240.4607070494337980.482461014227451
750.472333896128150.4591044409137860.485563351342513
760.4730837604256750.4577810054850850.488386515366265
770.47383362472320.4566339775585080.491033271887892
780.4745834890207250.4556090116170230.493557966424427
790.475333353318250.4546733740042920.495993332632209
800.4760832176157760.4538056197619010.49836081546965
810.4768330819133010.4529908441529480.500675319673654
820.4775829462108260.4522182227327290.502947669688922
830.4783328105083510.4514796226295070.505185998387196
840.4790826748058760.4507687656118030.507396583999949

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 0.470834167533099 & 0.462834577223121 & 0.478833757843078 \tabularnewline
74 & 0.471584031830624 & 0.460707049433798 & 0.482461014227451 \tabularnewline
75 & 0.47233389612815 & 0.459104440913786 & 0.485563351342513 \tabularnewline
76 & 0.473083760425675 & 0.457781005485085 & 0.488386515366265 \tabularnewline
77 & 0.4738336247232 & 0.456633977558508 & 0.491033271887892 \tabularnewline
78 & 0.474583489020725 & 0.455609011617023 & 0.493557966424427 \tabularnewline
79 & 0.47533335331825 & 0.454673374004292 & 0.495993332632209 \tabularnewline
80 & 0.476083217615776 & 0.453805619761901 & 0.49836081546965 \tabularnewline
81 & 0.476833081913301 & 0.452990844152948 & 0.500675319673654 \tabularnewline
82 & 0.477582946210826 & 0.452218222732729 & 0.502947669688922 \tabularnewline
83 & 0.478332810508351 & 0.451479622629507 & 0.505185998387196 \tabularnewline
84 & 0.479082674805876 & 0.450768765611803 & 0.507396583999949 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36952&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]73[/C][C]0.470834167533099[/C][C]0.462834577223121[/C][C]0.478833757843078[/C][/ROW]
[ROW][C]74[/C][C]0.471584031830624[/C][C]0.460707049433798[/C][C]0.482461014227451[/C][/ROW]
[ROW][C]75[/C][C]0.47233389612815[/C][C]0.459104440913786[/C][C]0.485563351342513[/C][/ROW]
[ROW][C]76[/C][C]0.473083760425675[/C][C]0.457781005485085[/C][C]0.488386515366265[/C][/ROW]
[ROW][C]77[/C][C]0.4738336247232[/C][C]0.456633977558508[/C][C]0.491033271887892[/C][/ROW]
[ROW][C]78[/C][C]0.474583489020725[/C][C]0.455609011617023[/C][C]0.493557966424427[/C][/ROW]
[ROW][C]79[/C][C]0.47533335331825[/C][C]0.454673374004292[/C][C]0.495993332632209[/C][/ROW]
[ROW][C]80[/C][C]0.476083217615776[/C][C]0.453805619761901[/C][C]0.49836081546965[/C][/ROW]
[ROW][C]81[/C][C]0.476833081913301[/C][C]0.452990844152948[/C][C]0.500675319673654[/C][/ROW]
[ROW][C]82[/C][C]0.477582946210826[/C][C]0.452218222732729[/C][C]0.502947669688922[/C][/ROW]
[ROW][C]83[/C][C]0.478332810508351[/C][C]0.451479622629507[/C][C]0.505185998387196[/C][/ROW]
[ROW][C]84[/C][C]0.479082674805876[/C][C]0.450768765611803[/C][C]0.507396583999949[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36952&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36952&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
730.4708341675330990.4628345772231210.478833757843078
740.4715840318306240.4607070494337980.482461014227451
750.472333896128150.4591044409137860.485563351342513
760.4730837604256750.4577810054850850.488386515366265
770.47383362472320.4566339775585080.491033271887892
780.4745834890207250.4556090116170230.493557966424427
790.475333353318250.4546733740042920.495993332632209
800.4760832176157760.4538056197619010.49836081546965
810.4768330819133010.4529908441529480.500675319673654
820.4775829462108260.4522182227327290.502947669688922
830.4783328105083510.4514796226295070.505185998387196
840.4790826748058760.4507687656118030.507396583999949



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')