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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 computationFri, 28 Nov 2014 17:12:56 +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/2014/Nov/28/t1417194807i0ejgvrz3o8xmu0.htm/, Retrieved Fri, 17 May 2024 04:18:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=260987, Retrieved Fri, 17 May 2024 04:18:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Gemiddelde consum...] [2014-11-28 17:12:56] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
2,37
2,45
2,53
2,56
2,62
2,67
2,62
2,6
2,53
2,49
2,48
2,44
2,36
2,35
2,44
2,5
2,58
2,55
2,44
2,3
2,24
2,19
2,25
2,28
2,27
2,37
2,47
2,5
2,47
2,61
2,61
2,65
2,43
2,43
2,33
2,27
2,22
2,17
2,28
2,3
2,33
2,44
2,41
2,4
2,34
2,37
2,38
2,3
2,29
2,34
2,35
2,38
2,37
2,45
2,51
2,46
2,42
2,48
2,44
2,43
2,36
2,42
2,42
2,43
2,47
2,54
2,55
2,55
2,49
2,54
2,55
2,5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260987&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260987&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260987&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260987&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]0.999933893038648[/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=260987&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260987&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
22.452.370.0800000000000001
32.532.449994711443090.0800052885569076
42.562.529994711093480.0300052889065188
52.622.559998016441530.060001983558474
62.672.619996033451190.0500039665488079
72.622.66999669438972-0.0499966943897157
82.62.62000330512954-0.0200033051295438
92.532.60000132235772-0.0700013223577196
102.492.53000462757471-0.0400046275747115
112.482.49000264458437-0.0100026445843695
122.442.48000066124444-0.0400006612444388
132.362.44000264432217-0.0800026443221671
142.352.36000528873172-0.0100052887317159
152.442.350000661419240.089999338580764
162.52.43999405041720.0600059495827971
172.582.499996033189010.08000396681099
182.552.57999471118086-0.0299947111808585
192.442.55000198285921-0.110001982859212
202.32.44000727189683-0.14000727189683
212.242.30000925545531-0.0600092554553115
222.192.24000396702953-0.0500039670295314
232.252.190003305610320.0599966943896844
242.282.249996033800840.0300039661991569
252.272.27999801652897-0.0099980165289657
262.372.270000660938490.0999993390615077
272.472.369993389347560.100006610652443
282.52.469993388866850.0300066111331452
292.472.49999801635412-0.0299980163541171
302.612.470001983077710.139998016922292
312.612.609990745156519.254843494233e-06
322.652.609999999388190.0400000006118097
332.432.64999735572151-0.219997355721505
342.432.43001454335669-1.45433566922648e-05
352.332.43000000096142-0.100000000961417
362.272.3300066106962-0.0600066106961989
372.222.27000396685469-0.0500039668546939
382.172.2200033056103-0.0500033056103049
392.282.170003305566590.109996694433408
402.32.279992728452770.0200072715472279
412.332.299998677380070.0300013226199272
422.442.329998016703730.110001983296275
432.412.43999272810314-0.0299927281031418
442.42.41000198272812-0.0100019827281175
452.342.40000066120069-0.0600006612006858
462.372.340003966461390.0299960335386094
472.382.369998017053370.0100019829466298
482.32.3799993387993-0.0799993387993001
492.292.3000052885132-0.0100052885131978
502.342.290000661419220.0499993385807787
512.352.339996694695660.0100033053043433
522.382.349999338711880.030000661288117
532.372.37999801674744-0.00999801674744338
542.452.370000660938510.0799993390614935
552.512.449994711486780.060005288513215
562.462.50999603323271-0.0499960332327114
572.422.46000330508584-0.0400033050858366
582.482.420002644496940.0599973555030568
592.442.47999603375714-0.0399960337571383
602.432.44000264401626-0.0100026440162577
612.362.4300006612444-0.0700006612444017
622.422.360004627531010.0599953724689928
632.422.419996033888233.96611176878281e-06
642.432.419999999737810.0100000002621878
652.472.429999338930370.0400006610696311
662.542.469997355677840.0700026443221553
672.552.53999537233790.0100046276621026
682.552.549999338624476.6137553433876e-07
692.492.54999999995628-0.0599999999562777
702.542.490003966417680.0499960335823215
712.552.539996694914140.0100033050858594
722.52.5499993387119-0.0499993387118969

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 2.45 & 2.37 & 0.0800000000000001 \tabularnewline
3 & 2.53 & 2.44999471144309 & 0.0800052885569076 \tabularnewline
4 & 2.56 & 2.52999471109348 & 0.0300052889065188 \tabularnewline
5 & 2.62 & 2.55999801644153 & 0.060001983558474 \tabularnewline
6 & 2.67 & 2.61999603345119 & 0.0500039665488079 \tabularnewline
7 & 2.62 & 2.66999669438972 & -0.0499966943897157 \tabularnewline
8 & 2.6 & 2.62000330512954 & -0.0200033051295438 \tabularnewline
9 & 2.53 & 2.60000132235772 & -0.0700013223577196 \tabularnewline
10 & 2.49 & 2.53000462757471 & -0.0400046275747115 \tabularnewline
11 & 2.48 & 2.49000264458437 & -0.0100026445843695 \tabularnewline
12 & 2.44 & 2.48000066124444 & -0.0400006612444388 \tabularnewline
13 & 2.36 & 2.44000264432217 & -0.0800026443221671 \tabularnewline
14 & 2.35 & 2.36000528873172 & -0.0100052887317159 \tabularnewline
15 & 2.44 & 2.35000066141924 & 0.089999338580764 \tabularnewline
16 & 2.5 & 2.4399940504172 & 0.0600059495827971 \tabularnewline
17 & 2.58 & 2.49999603318901 & 0.08000396681099 \tabularnewline
18 & 2.55 & 2.57999471118086 & -0.0299947111808585 \tabularnewline
19 & 2.44 & 2.55000198285921 & -0.110001982859212 \tabularnewline
20 & 2.3 & 2.44000727189683 & -0.14000727189683 \tabularnewline
21 & 2.24 & 2.30000925545531 & -0.0600092554553115 \tabularnewline
22 & 2.19 & 2.24000396702953 & -0.0500039670295314 \tabularnewline
23 & 2.25 & 2.19000330561032 & 0.0599966943896844 \tabularnewline
24 & 2.28 & 2.24999603380084 & 0.0300039661991569 \tabularnewline
25 & 2.27 & 2.27999801652897 & -0.0099980165289657 \tabularnewline
26 & 2.37 & 2.27000066093849 & 0.0999993390615077 \tabularnewline
27 & 2.47 & 2.36999338934756 & 0.100006610652443 \tabularnewline
28 & 2.5 & 2.46999338886685 & 0.0300066111331452 \tabularnewline
29 & 2.47 & 2.49999801635412 & -0.0299980163541171 \tabularnewline
30 & 2.61 & 2.47000198307771 & 0.139998016922292 \tabularnewline
31 & 2.61 & 2.60999074515651 & 9.254843494233e-06 \tabularnewline
32 & 2.65 & 2.60999999938819 & 0.0400000006118097 \tabularnewline
33 & 2.43 & 2.64999735572151 & -0.219997355721505 \tabularnewline
34 & 2.43 & 2.43001454335669 & -1.45433566922648e-05 \tabularnewline
35 & 2.33 & 2.43000000096142 & -0.100000000961417 \tabularnewline
36 & 2.27 & 2.3300066106962 & -0.0600066106961989 \tabularnewline
37 & 2.22 & 2.27000396685469 & -0.0500039668546939 \tabularnewline
38 & 2.17 & 2.2200033056103 & -0.0500033056103049 \tabularnewline
39 & 2.28 & 2.17000330556659 & 0.109996694433408 \tabularnewline
40 & 2.3 & 2.27999272845277 & 0.0200072715472279 \tabularnewline
41 & 2.33 & 2.29999867738007 & 0.0300013226199272 \tabularnewline
42 & 2.44 & 2.32999801670373 & 0.110001983296275 \tabularnewline
43 & 2.41 & 2.43999272810314 & -0.0299927281031418 \tabularnewline
44 & 2.4 & 2.41000198272812 & -0.0100019827281175 \tabularnewline
45 & 2.34 & 2.40000066120069 & -0.0600006612006858 \tabularnewline
46 & 2.37 & 2.34000396646139 & 0.0299960335386094 \tabularnewline
47 & 2.38 & 2.36999801705337 & 0.0100019829466298 \tabularnewline
48 & 2.3 & 2.3799993387993 & -0.0799993387993001 \tabularnewline
49 & 2.29 & 2.3000052885132 & -0.0100052885131978 \tabularnewline
50 & 2.34 & 2.29000066141922 & 0.0499993385807787 \tabularnewline
51 & 2.35 & 2.33999669469566 & 0.0100033053043433 \tabularnewline
52 & 2.38 & 2.34999933871188 & 0.030000661288117 \tabularnewline
53 & 2.37 & 2.37999801674744 & -0.00999801674744338 \tabularnewline
54 & 2.45 & 2.37000066093851 & 0.0799993390614935 \tabularnewline
55 & 2.51 & 2.44999471148678 & 0.060005288513215 \tabularnewline
56 & 2.46 & 2.50999603323271 & -0.0499960332327114 \tabularnewline
57 & 2.42 & 2.46000330508584 & -0.0400033050858366 \tabularnewline
58 & 2.48 & 2.42000264449694 & 0.0599973555030568 \tabularnewline
59 & 2.44 & 2.47999603375714 & -0.0399960337571383 \tabularnewline
60 & 2.43 & 2.44000264401626 & -0.0100026440162577 \tabularnewline
61 & 2.36 & 2.4300006612444 & -0.0700006612444017 \tabularnewline
62 & 2.42 & 2.36000462753101 & 0.0599953724689928 \tabularnewline
63 & 2.42 & 2.41999603388823 & 3.96611176878281e-06 \tabularnewline
64 & 2.43 & 2.41999999973781 & 0.0100000002621878 \tabularnewline
65 & 2.47 & 2.42999933893037 & 0.0400006610696311 \tabularnewline
66 & 2.54 & 2.46999735567784 & 0.0700026443221553 \tabularnewline
67 & 2.55 & 2.5399953723379 & 0.0100046276621026 \tabularnewline
68 & 2.55 & 2.54999933862447 & 6.6137553433876e-07 \tabularnewline
69 & 2.49 & 2.54999999995628 & -0.0599999999562777 \tabularnewline
70 & 2.54 & 2.49000396641768 & 0.0499960335823215 \tabularnewline
71 & 2.55 & 2.53999669491414 & 0.0100033050858594 \tabularnewline
72 & 2.5 & 2.5499993387119 & -0.0499993387118969 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260987&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]2.45[/C][C]2.37[/C][C]0.0800000000000001[/C][/ROW]
[ROW][C]3[/C][C]2.53[/C][C]2.44999471144309[/C][C]0.0800052885569076[/C][/ROW]
[ROW][C]4[/C][C]2.56[/C][C]2.52999471109348[/C][C]0.0300052889065188[/C][/ROW]
[ROW][C]5[/C][C]2.62[/C][C]2.55999801644153[/C][C]0.060001983558474[/C][/ROW]
[ROW][C]6[/C][C]2.67[/C][C]2.61999603345119[/C][C]0.0500039665488079[/C][/ROW]
[ROW][C]7[/C][C]2.62[/C][C]2.66999669438972[/C][C]-0.0499966943897157[/C][/ROW]
[ROW][C]8[/C][C]2.6[/C][C]2.62000330512954[/C][C]-0.0200033051295438[/C][/ROW]
[ROW][C]9[/C][C]2.53[/C][C]2.60000132235772[/C][C]-0.0700013223577196[/C][/ROW]
[ROW][C]10[/C][C]2.49[/C][C]2.53000462757471[/C][C]-0.0400046275747115[/C][/ROW]
[ROW][C]11[/C][C]2.48[/C][C]2.49000264458437[/C][C]-0.0100026445843695[/C][/ROW]
[ROW][C]12[/C][C]2.44[/C][C]2.48000066124444[/C][C]-0.0400006612444388[/C][/ROW]
[ROW][C]13[/C][C]2.36[/C][C]2.44000264432217[/C][C]-0.0800026443221671[/C][/ROW]
[ROW][C]14[/C][C]2.35[/C][C]2.36000528873172[/C][C]-0.0100052887317159[/C][/ROW]
[ROW][C]15[/C][C]2.44[/C][C]2.35000066141924[/C][C]0.089999338580764[/C][/ROW]
[ROW][C]16[/C][C]2.5[/C][C]2.4399940504172[/C][C]0.0600059495827971[/C][/ROW]
[ROW][C]17[/C][C]2.58[/C][C]2.49999603318901[/C][C]0.08000396681099[/C][/ROW]
[ROW][C]18[/C][C]2.55[/C][C]2.57999471118086[/C][C]-0.0299947111808585[/C][/ROW]
[ROW][C]19[/C][C]2.44[/C][C]2.55000198285921[/C][C]-0.110001982859212[/C][/ROW]
[ROW][C]20[/C][C]2.3[/C][C]2.44000727189683[/C][C]-0.14000727189683[/C][/ROW]
[ROW][C]21[/C][C]2.24[/C][C]2.30000925545531[/C][C]-0.0600092554553115[/C][/ROW]
[ROW][C]22[/C][C]2.19[/C][C]2.24000396702953[/C][C]-0.0500039670295314[/C][/ROW]
[ROW][C]23[/C][C]2.25[/C][C]2.19000330561032[/C][C]0.0599966943896844[/C][/ROW]
[ROW][C]24[/C][C]2.28[/C][C]2.24999603380084[/C][C]0.0300039661991569[/C][/ROW]
[ROW][C]25[/C][C]2.27[/C][C]2.27999801652897[/C][C]-0.0099980165289657[/C][/ROW]
[ROW][C]26[/C][C]2.37[/C][C]2.27000066093849[/C][C]0.0999993390615077[/C][/ROW]
[ROW][C]27[/C][C]2.47[/C][C]2.36999338934756[/C][C]0.100006610652443[/C][/ROW]
[ROW][C]28[/C][C]2.5[/C][C]2.46999338886685[/C][C]0.0300066111331452[/C][/ROW]
[ROW][C]29[/C][C]2.47[/C][C]2.49999801635412[/C][C]-0.0299980163541171[/C][/ROW]
[ROW][C]30[/C][C]2.61[/C][C]2.47000198307771[/C][C]0.139998016922292[/C][/ROW]
[ROW][C]31[/C][C]2.61[/C][C]2.60999074515651[/C][C]9.254843494233e-06[/C][/ROW]
[ROW][C]32[/C][C]2.65[/C][C]2.60999999938819[/C][C]0.0400000006118097[/C][/ROW]
[ROW][C]33[/C][C]2.43[/C][C]2.64999735572151[/C][C]-0.219997355721505[/C][/ROW]
[ROW][C]34[/C][C]2.43[/C][C]2.43001454335669[/C][C]-1.45433566922648e-05[/C][/ROW]
[ROW][C]35[/C][C]2.33[/C][C]2.43000000096142[/C][C]-0.100000000961417[/C][/ROW]
[ROW][C]36[/C][C]2.27[/C][C]2.3300066106962[/C][C]-0.0600066106961989[/C][/ROW]
[ROW][C]37[/C][C]2.22[/C][C]2.27000396685469[/C][C]-0.0500039668546939[/C][/ROW]
[ROW][C]38[/C][C]2.17[/C][C]2.2200033056103[/C][C]-0.0500033056103049[/C][/ROW]
[ROW][C]39[/C][C]2.28[/C][C]2.17000330556659[/C][C]0.109996694433408[/C][/ROW]
[ROW][C]40[/C][C]2.3[/C][C]2.27999272845277[/C][C]0.0200072715472279[/C][/ROW]
[ROW][C]41[/C][C]2.33[/C][C]2.29999867738007[/C][C]0.0300013226199272[/C][/ROW]
[ROW][C]42[/C][C]2.44[/C][C]2.32999801670373[/C][C]0.110001983296275[/C][/ROW]
[ROW][C]43[/C][C]2.41[/C][C]2.43999272810314[/C][C]-0.0299927281031418[/C][/ROW]
[ROW][C]44[/C][C]2.4[/C][C]2.41000198272812[/C][C]-0.0100019827281175[/C][/ROW]
[ROW][C]45[/C][C]2.34[/C][C]2.40000066120069[/C][C]-0.0600006612006858[/C][/ROW]
[ROW][C]46[/C][C]2.37[/C][C]2.34000396646139[/C][C]0.0299960335386094[/C][/ROW]
[ROW][C]47[/C][C]2.38[/C][C]2.36999801705337[/C][C]0.0100019829466298[/C][/ROW]
[ROW][C]48[/C][C]2.3[/C][C]2.3799993387993[/C][C]-0.0799993387993001[/C][/ROW]
[ROW][C]49[/C][C]2.29[/C][C]2.3000052885132[/C][C]-0.0100052885131978[/C][/ROW]
[ROW][C]50[/C][C]2.34[/C][C]2.29000066141922[/C][C]0.0499993385807787[/C][/ROW]
[ROW][C]51[/C][C]2.35[/C][C]2.33999669469566[/C][C]0.0100033053043433[/C][/ROW]
[ROW][C]52[/C][C]2.38[/C][C]2.34999933871188[/C][C]0.030000661288117[/C][/ROW]
[ROW][C]53[/C][C]2.37[/C][C]2.37999801674744[/C][C]-0.00999801674744338[/C][/ROW]
[ROW][C]54[/C][C]2.45[/C][C]2.37000066093851[/C][C]0.0799993390614935[/C][/ROW]
[ROW][C]55[/C][C]2.51[/C][C]2.44999471148678[/C][C]0.060005288513215[/C][/ROW]
[ROW][C]56[/C][C]2.46[/C][C]2.50999603323271[/C][C]-0.0499960332327114[/C][/ROW]
[ROW][C]57[/C][C]2.42[/C][C]2.46000330508584[/C][C]-0.0400033050858366[/C][/ROW]
[ROW][C]58[/C][C]2.48[/C][C]2.42000264449694[/C][C]0.0599973555030568[/C][/ROW]
[ROW][C]59[/C][C]2.44[/C][C]2.47999603375714[/C][C]-0.0399960337571383[/C][/ROW]
[ROW][C]60[/C][C]2.43[/C][C]2.44000264401626[/C][C]-0.0100026440162577[/C][/ROW]
[ROW][C]61[/C][C]2.36[/C][C]2.4300006612444[/C][C]-0.0700006612444017[/C][/ROW]
[ROW][C]62[/C][C]2.42[/C][C]2.36000462753101[/C][C]0.0599953724689928[/C][/ROW]
[ROW][C]63[/C][C]2.42[/C][C]2.41999603388823[/C][C]3.96611176878281e-06[/C][/ROW]
[ROW][C]64[/C][C]2.43[/C][C]2.41999999973781[/C][C]0.0100000002621878[/C][/ROW]
[ROW][C]65[/C][C]2.47[/C][C]2.42999933893037[/C][C]0.0400006610696311[/C][/ROW]
[ROW][C]66[/C][C]2.54[/C][C]2.46999735567784[/C][C]0.0700026443221553[/C][/ROW]
[ROW][C]67[/C][C]2.55[/C][C]2.5399953723379[/C][C]0.0100046276621026[/C][/ROW]
[ROW][C]68[/C][C]2.55[/C][C]2.54999933862447[/C][C]6.6137553433876e-07[/C][/ROW]
[ROW][C]69[/C][C]2.49[/C][C]2.54999999995628[/C][C]-0.0599999999562777[/C][/ROW]
[ROW][C]70[/C][C]2.54[/C][C]2.49000396641768[/C][C]0.0499960335823215[/C][/ROW]
[ROW][C]71[/C][C]2.55[/C][C]2.53999669491414[/C][C]0.0100033050858594[/C][/ROW]
[ROW][C]72[/C][C]2.5[/C][C]2.5499993387119[/C][C]-0.0499993387118969[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260987&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260987&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
22.452.370.0800000000000001
32.532.449994711443090.0800052885569076
42.562.529994711093480.0300052889065188
52.622.559998016441530.060001983558474
62.672.619996033451190.0500039665488079
72.622.66999669438972-0.0499966943897157
82.62.62000330512954-0.0200033051295438
92.532.60000132235772-0.0700013223577196
102.492.53000462757471-0.0400046275747115
112.482.49000264458437-0.0100026445843695
122.442.48000066124444-0.0400006612444388
132.362.44000264432217-0.0800026443221671
142.352.36000528873172-0.0100052887317159
152.442.350000661419240.089999338580764
162.52.43999405041720.0600059495827971
172.582.499996033189010.08000396681099
182.552.57999471118086-0.0299947111808585
192.442.55000198285921-0.110001982859212
202.32.44000727189683-0.14000727189683
212.242.30000925545531-0.0600092554553115
222.192.24000396702953-0.0500039670295314
232.252.190003305610320.0599966943896844
242.282.249996033800840.0300039661991569
252.272.27999801652897-0.0099980165289657
262.372.270000660938490.0999993390615077
272.472.369993389347560.100006610652443
282.52.469993388866850.0300066111331452
292.472.49999801635412-0.0299980163541171
302.612.470001983077710.139998016922292
312.612.609990745156519.254843494233e-06
322.652.609999999388190.0400000006118097
332.432.64999735572151-0.219997355721505
342.432.43001454335669-1.45433566922648e-05
352.332.43000000096142-0.100000000961417
362.272.3300066106962-0.0600066106961989
372.222.27000396685469-0.0500039668546939
382.172.2200033056103-0.0500033056103049
392.282.170003305566590.109996694433408
402.32.279992728452770.0200072715472279
412.332.299998677380070.0300013226199272
422.442.329998016703730.110001983296275
432.412.43999272810314-0.0299927281031418
442.42.41000198272812-0.0100019827281175
452.342.40000066120069-0.0600006612006858
462.372.340003966461390.0299960335386094
472.382.369998017053370.0100019829466298
482.32.3799993387993-0.0799993387993001
492.292.3000052885132-0.0100052885131978
502.342.290000661419220.0499993385807787
512.352.339996694695660.0100033053043433
522.382.349999338711880.030000661288117
532.372.37999801674744-0.00999801674744338
542.452.370000660938510.0799993390614935
552.512.449994711486780.060005288513215
562.462.50999603323271-0.0499960332327114
572.422.46000330508584-0.0400033050858366
582.482.420002644496940.0599973555030568
592.442.47999603375714-0.0399960337571383
602.432.44000264401626-0.0100026440162577
612.362.4300006612444-0.0700006612444017
622.422.360004627531010.0599953724689928
632.422.419996033888233.96611176878281e-06
642.432.419999999737810.0100000002621878
652.472.429999338930370.0400006610696311
662.542.469997355677840.0700026443221553
672.552.53999537233790.0100046276621026
682.552.549999338624476.6137553433876e-07
692.492.54999999995628-0.0599999999562777
702.542.490003966417680.0499960335823215
712.552.539996694914140.0100033050858594
722.52.5499993387119-0.0499993387118969







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
732.500003305304352.373184241249442.62682236935926
742.500003305304352.320659992969112.67934661763959
752.500003305304352.28035592346022.7196506871485
762.500003305304352.246377752525062.75362885808364
772.500003305304352.216442254216212.7835643563925
782.500003305304352.189378421616932.81062818899178
792.500003305304352.164490612493132.83551599811558
802.500003305304352.141325572919072.85868103768964
812.500003305304352.119568469385422.88043814122328
822.500003305304352.098990072290432.90101653831827
832.500003305304352.079417331068542.92058927954016
842.500003305304352.060715802186522.93929080842219

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 2.50000330530435 & 2.37318424124944 & 2.62682236935926 \tabularnewline
74 & 2.50000330530435 & 2.32065999296911 & 2.67934661763959 \tabularnewline
75 & 2.50000330530435 & 2.2803559234602 & 2.7196506871485 \tabularnewline
76 & 2.50000330530435 & 2.24637775252506 & 2.75362885808364 \tabularnewline
77 & 2.50000330530435 & 2.21644225421621 & 2.7835643563925 \tabularnewline
78 & 2.50000330530435 & 2.18937842161693 & 2.81062818899178 \tabularnewline
79 & 2.50000330530435 & 2.16449061249313 & 2.83551599811558 \tabularnewline
80 & 2.50000330530435 & 2.14132557291907 & 2.85868103768964 \tabularnewline
81 & 2.50000330530435 & 2.11956846938542 & 2.88043814122328 \tabularnewline
82 & 2.50000330530435 & 2.09899007229043 & 2.90101653831827 \tabularnewline
83 & 2.50000330530435 & 2.07941733106854 & 2.92058927954016 \tabularnewline
84 & 2.50000330530435 & 2.06071580218652 & 2.93929080842219 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260987&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]2.50000330530435[/C][C]2.37318424124944[/C][C]2.62682236935926[/C][/ROW]
[ROW][C]74[/C][C]2.50000330530435[/C][C]2.32065999296911[/C][C]2.67934661763959[/C][/ROW]
[ROW][C]75[/C][C]2.50000330530435[/C][C]2.2803559234602[/C][C]2.7196506871485[/C][/ROW]
[ROW][C]76[/C][C]2.50000330530435[/C][C]2.24637775252506[/C][C]2.75362885808364[/C][/ROW]
[ROW][C]77[/C][C]2.50000330530435[/C][C]2.21644225421621[/C][C]2.7835643563925[/C][/ROW]
[ROW][C]78[/C][C]2.50000330530435[/C][C]2.18937842161693[/C][C]2.81062818899178[/C][/ROW]
[ROW][C]79[/C][C]2.50000330530435[/C][C]2.16449061249313[/C][C]2.83551599811558[/C][/ROW]
[ROW][C]80[/C][C]2.50000330530435[/C][C]2.14132557291907[/C][C]2.85868103768964[/C][/ROW]
[ROW][C]81[/C][C]2.50000330530435[/C][C]2.11956846938542[/C][C]2.88043814122328[/C][/ROW]
[ROW][C]82[/C][C]2.50000330530435[/C][C]2.09899007229043[/C][C]2.90101653831827[/C][/ROW]
[ROW][C]83[/C][C]2.50000330530435[/C][C]2.07941733106854[/C][C]2.92058927954016[/C][/ROW]
[ROW][C]84[/C][C]2.50000330530435[/C][C]2.06071580218652[/C][C]2.93929080842219[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260987&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260987&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
732.500003305304352.373184241249442.62682236935926
742.500003305304352.320659992969112.67934661763959
752.500003305304352.28035592346022.7196506871485
762.500003305304352.246377752525062.75362885808364
772.500003305304352.216442254216212.7835643563925
782.500003305304352.189378421616932.81062818899178
792.500003305304352.164490612493132.83551599811558
802.500003305304352.141325572919072.85868103768964
812.500003305304352.119568469385422.88043814122328
822.500003305304352.098990072290432.90101653831827
832.500003305304352.079417331068542.92058927954016
842.500003305304352.060715802186522.93929080842219



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')