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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 computationThu, 18 May 2017 15:40:37 +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/2017/May/18/t14951184735tb24atafmo0bkr.htm/, Retrieved Fri, 17 May 2024 04:11:39 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 04:11:39 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
101,16
100,81
100,94
101,13
101,29
101,34
101,35
101,7
102,05
102,48
102,66
102,72
102,73
102,18
102,22
102,37
102,53
102,61
102,62
103
103,17
103,52
103,69
103,73
99,57
99,09
99,14
99,36
99,6
99,65
99,8
100,15
100,45
100,89
101,13
101,17
101,21
101,1
101,17
101,11
101,2
101,15
100,92
101,1
101,22
101,25
101,39
101,43
101,95
101,92
102,05
102,07
102,1
102,16
101,63
101,43
101,4
101,6
101,72
101,73
102,67
102,59
102,69
102,93
103,02
103,06
102,47
102,4
102,42
102,51
102,61
102,78




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

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.00422166344468505
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.00422166344468505 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.00422166344468505[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha1
beta0.00422166344468505
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13102.73102.0935309829060.636469017093987
14102.18102.1778151631110.00218483688868787
15102.22102.224074386757-0.00407438675736671
16102.37102.384890519401-0.014890519401078
17102.53102.54857765664-0.0185776566396356
18102.61102.629749228026-0.0197492280257308
19102.62102.5754991867650.0445008132349898
20103102.9523537208880.047646279111774
21103.17103.344638200776-0.174638200776315
22103.52103.599317603735-0.0793176037347507
23103.69103.700649418173-0.0106494181731875
24103.73103.749354459914-0.0193544599137851
2599.57103.738022751898-4.16802275189789
2699.0998.99917676260950.0908232373904667
2799.1499.11581018775080.0241898122492188
2899.3699.28674564233020.0732543576697537
2999.699.52080489757420.0791951024258424
3099.6599.6823892326431-0.0323892326430695
3199.899.5980858295370.201914170463041
32100.15100.1156049098760.0343950901239509
33100.45100.477833447704-0.0278334477039976
34100.89100.8631326109220.0268673890780065
35101.13101.0549127026630.0750872973370207
36101.17101.173979695961-0.00397969596130565
37101.21101.1627128950240.0472871049756378
38101.1100.6416625252670.458337474733213
39101.17101.1298474718290.0401525281707933
40101.11101.320850315623-0.210850315622963
41101.2101.273710176553-0.0737101765531634
42101.15101.284648996995-0.134648996995324
43100.92101.09991388758-0.17991388758017
44101.1101.235821018364-0.135821018364481
45101.22101.42733096107-0.207330961069516
46101.25101.631872346197-0.381872346196928
47101.39101.411926876339-0.0219268763391085
48101.43101.430584308447-0.000584308446818227
49101.95101.4193318416930.530668158306781
50101.92101.3803221440580.539677855941648
51102.05101.9488504823350.101149517665291
52102.07102.200110834889-0.130110834889237
53102.1102.233311550734-0.133311550733808
54102.16102.183998754233-0.0239987542333324
55101.63102.109730772903-0.479730772903181
56101.43101.944372177703-0.514372177702612
57101.4101.754284004816-0.35428400481635
58101.6101.808205003651-0.208205003650889
59101.72101.758992698865-0.0389926988646181
60101.73101.757578084813-0.0275780848132143
61102.67101.7162116594210.953788340579294
62102.59102.0989882327920.491011767207965
63102.69102.6173111192210.0726888807794097
64102.93102.8384513205450.0915486794552294
65103.02103.092587808258-0.0725878082582199
66103.06103.103531366962-0.0435313669615738
67102.47103.009180925514-0.539180925514287
68102.4102.783571351778-0.383571351777675
69102.42102.724035375957-0.304035375956744
70102.51102.828168507591-0.318168507590869
71102.61102.6684919739-0.0584919738997911
72102.78102.6469950404720.133004959528236

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 102.73 & 102.093530982906 & 0.636469017093987 \tabularnewline
14 & 102.18 & 102.177815163111 & 0.00218483688868787 \tabularnewline
15 & 102.22 & 102.224074386757 & -0.00407438675736671 \tabularnewline
16 & 102.37 & 102.384890519401 & -0.014890519401078 \tabularnewline
17 & 102.53 & 102.54857765664 & -0.0185776566396356 \tabularnewline
18 & 102.61 & 102.629749228026 & -0.0197492280257308 \tabularnewline
19 & 102.62 & 102.575499186765 & 0.0445008132349898 \tabularnewline
20 & 103 & 102.952353720888 & 0.047646279111774 \tabularnewline
21 & 103.17 & 103.344638200776 & -0.174638200776315 \tabularnewline
22 & 103.52 & 103.599317603735 & -0.0793176037347507 \tabularnewline
23 & 103.69 & 103.700649418173 & -0.0106494181731875 \tabularnewline
24 & 103.73 & 103.749354459914 & -0.0193544599137851 \tabularnewline
25 & 99.57 & 103.738022751898 & -4.16802275189789 \tabularnewline
26 & 99.09 & 98.9991767626095 & 0.0908232373904667 \tabularnewline
27 & 99.14 & 99.1158101877508 & 0.0241898122492188 \tabularnewline
28 & 99.36 & 99.2867456423302 & 0.0732543576697537 \tabularnewline
29 & 99.6 & 99.5208048975742 & 0.0791951024258424 \tabularnewline
30 & 99.65 & 99.6823892326431 & -0.0323892326430695 \tabularnewline
31 & 99.8 & 99.598085829537 & 0.201914170463041 \tabularnewline
32 & 100.15 & 100.115604909876 & 0.0343950901239509 \tabularnewline
33 & 100.45 & 100.477833447704 & -0.0278334477039976 \tabularnewline
34 & 100.89 & 100.863132610922 & 0.0268673890780065 \tabularnewline
35 & 101.13 & 101.054912702663 & 0.0750872973370207 \tabularnewline
36 & 101.17 & 101.173979695961 & -0.00397969596130565 \tabularnewline
37 & 101.21 & 101.162712895024 & 0.0472871049756378 \tabularnewline
38 & 101.1 & 100.641662525267 & 0.458337474733213 \tabularnewline
39 & 101.17 & 101.129847471829 & 0.0401525281707933 \tabularnewline
40 & 101.11 & 101.320850315623 & -0.210850315622963 \tabularnewline
41 & 101.2 & 101.273710176553 & -0.0737101765531634 \tabularnewline
42 & 101.15 & 101.284648996995 & -0.134648996995324 \tabularnewline
43 & 100.92 & 101.09991388758 & -0.17991388758017 \tabularnewline
44 & 101.1 & 101.235821018364 & -0.135821018364481 \tabularnewline
45 & 101.22 & 101.42733096107 & -0.207330961069516 \tabularnewline
46 & 101.25 & 101.631872346197 & -0.381872346196928 \tabularnewline
47 & 101.39 & 101.411926876339 & -0.0219268763391085 \tabularnewline
48 & 101.43 & 101.430584308447 & -0.000584308446818227 \tabularnewline
49 & 101.95 & 101.419331841693 & 0.530668158306781 \tabularnewline
50 & 101.92 & 101.380322144058 & 0.539677855941648 \tabularnewline
51 & 102.05 & 101.948850482335 & 0.101149517665291 \tabularnewline
52 & 102.07 & 102.200110834889 & -0.130110834889237 \tabularnewline
53 & 102.1 & 102.233311550734 & -0.133311550733808 \tabularnewline
54 & 102.16 & 102.183998754233 & -0.0239987542333324 \tabularnewline
55 & 101.63 & 102.109730772903 & -0.479730772903181 \tabularnewline
56 & 101.43 & 101.944372177703 & -0.514372177702612 \tabularnewline
57 & 101.4 & 101.754284004816 & -0.35428400481635 \tabularnewline
58 & 101.6 & 101.808205003651 & -0.208205003650889 \tabularnewline
59 & 101.72 & 101.758992698865 & -0.0389926988646181 \tabularnewline
60 & 101.73 & 101.757578084813 & -0.0275780848132143 \tabularnewline
61 & 102.67 & 101.716211659421 & 0.953788340579294 \tabularnewline
62 & 102.59 & 102.098988232792 & 0.491011767207965 \tabularnewline
63 & 102.69 & 102.617311119221 & 0.0726888807794097 \tabularnewline
64 & 102.93 & 102.838451320545 & 0.0915486794552294 \tabularnewline
65 & 103.02 & 103.092587808258 & -0.0725878082582199 \tabularnewline
66 & 103.06 & 103.103531366962 & -0.0435313669615738 \tabularnewline
67 & 102.47 & 103.009180925514 & -0.539180925514287 \tabularnewline
68 & 102.4 & 102.783571351778 & -0.383571351777675 \tabularnewline
69 & 102.42 & 102.724035375957 & -0.304035375956744 \tabularnewline
70 & 102.51 & 102.828168507591 & -0.318168507590869 \tabularnewline
71 & 102.61 & 102.6684919739 & -0.0584919738997911 \tabularnewline
72 & 102.78 & 102.646995040472 & 0.133004959528236 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]102.73[/C][C]102.093530982906[/C][C]0.636469017093987[/C][/ROW]
[ROW][C]14[/C][C]102.18[/C][C]102.177815163111[/C][C]0.00218483688868787[/C][/ROW]
[ROW][C]15[/C][C]102.22[/C][C]102.224074386757[/C][C]-0.00407438675736671[/C][/ROW]
[ROW][C]16[/C][C]102.37[/C][C]102.384890519401[/C][C]-0.014890519401078[/C][/ROW]
[ROW][C]17[/C][C]102.53[/C][C]102.54857765664[/C][C]-0.0185776566396356[/C][/ROW]
[ROW][C]18[/C][C]102.61[/C][C]102.629749228026[/C][C]-0.0197492280257308[/C][/ROW]
[ROW][C]19[/C][C]102.62[/C][C]102.575499186765[/C][C]0.0445008132349898[/C][/ROW]
[ROW][C]20[/C][C]103[/C][C]102.952353720888[/C][C]0.047646279111774[/C][/ROW]
[ROW][C]21[/C][C]103.17[/C][C]103.344638200776[/C][C]-0.174638200776315[/C][/ROW]
[ROW][C]22[/C][C]103.52[/C][C]103.599317603735[/C][C]-0.0793176037347507[/C][/ROW]
[ROW][C]23[/C][C]103.69[/C][C]103.700649418173[/C][C]-0.0106494181731875[/C][/ROW]
[ROW][C]24[/C][C]103.73[/C][C]103.749354459914[/C][C]-0.0193544599137851[/C][/ROW]
[ROW][C]25[/C][C]99.57[/C][C]103.738022751898[/C][C]-4.16802275189789[/C][/ROW]
[ROW][C]26[/C][C]99.09[/C][C]98.9991767626095[/C][C]0.0908232373904667[/C][/ROW]
[ROW][C]27[/C][C]99.14[/C][C]99.1158101877508[/C][C]0.0241898122492188[/C][/ROW]
[ROW][C]28[/C][C]99.36[/C][C]99.2867456423302[/C][C]0.0732543576697537[/C][/ROW]
[ROW][C]29[/C][C]99.6[/C][C]99.5208048975742[/C][C]0.0791951024258424[/C][/ROW]
[ROW][C]30[/C][C]99.65[/C][C]99.6823892326431[/C][C]-0.0323892326430695[/C][/ROW]
[ROW][C]31[/C][C]99.8[/C][C]99.598085829537[/C][C]0.201914170463041[/C][/ROW]
[ROW][C]32[/C][C]100.15[/C][C]100.115604909876[/C][C]0.0343950901239509[/C][/ROW]
[ROW][C]33[/C][C]100.45[/C][C]100.477833447704[/C][C]-0.0278334477039976[/C][/ROW]
[ROW][C]34[/C][C]100.89[/C][C]100.863132610922[/C][C]0.0268673890780065[/C][/ROW]
[ROW][C]35[/C][C]101.13[/C][C]101.054912702663[/C][C]0.0750872973370207[/C][/ROW]
[ROW][C]36[/C][C]101.17[/C][C]101.173979695961[/C][C]-0.00397969596130565[/C][/ROW]
[ROW][C]37[/C][C]101.21[/C][C]101.162712895024[/C][C]0.0472871049756378[/C][/ROW]
[ROW][C]38[/C][C]101.1[/C][C]100.641662525267[/C][C]0.458337474733213[/C][/ROW]
[ROW][C]39[/C][C]101.17[/C][C]101.129847471829[/C][C]0.0401525281707933[/C][/ROW]
[ROW][C]40[/C][C]101.11[/C][C]101.320850315623[/C][C]-0.210850315622963[/C][/ROW]
[ROW][C]41[/C][C]101.2[/C][C]101.273710176553[/C][C]-0.0737101765531634[/C][/ROW]
[ROW][C]42[/C][C]101.15[/C][C]101.284648996995[/C][C]-0.134648996995324[/C][/ROW]
[ROW][C]43[/C][C]100.92[/C][C]101.09991388758[/C][C]-0.17991388758017[/C][/ROW]
[ROW][C]44[/C][C]101.1[/C][C]101.235821018364[/C][C]-0.135821018364481[/C][/ROW]
[ROW][C]45[/C][C]101.22[/C][C]101.42733096107[/C][C]-0.207330961069516[/C][/ROW]
[ROW][C]46[/C][C]101.25[/C][C]101.631872346197[/C][C]-0.381872346196928[/C][/ROW]
[ROW][C]47[/C][C]101.39[/C][C]101.411926876339[/C][C]-0.0219268763391085[/C][/ROW]
[ROW][C]48[/C][C]101.43[/C][C]101.430584308447[/C][C]-0.000584308446818227[/C][/ROW]
[ROW][C]49[/C][C]101.95[/C][C]101.419331841693[/C][C]0.530668158306781[/C][/ROW]
[ROW][C]50[/C][C]101.92[/C][C]101.380322144058[/C][C]0.539677855941648[/C][/ROW]
[ROW][C]51[/C][C]102.05[/C][C]101.948850482335[/C][C]0.101149517665291[/C][/ROW]
[ROW][C]52[/C][C]102.07[/C][C]102.200110834889[/C][C]-0.130110834889237[/C][/ROW]
[ROW][C]53[/C][C]102.1[/C][C]102.233311550734[/C][C]-0.133311550733808[/C][/ROW]
[ROW][C]54[/C][C]102.16[/C][C]102.183998754233[/C][C]-0.0239987542333324[/C][/ROW]
[ROW][C]55[/C][C]101.63[/C][C]102.109730772903[/C][C]-0.479730772903181[/C][/ROW]
[ROW][C]56[/C][C]101.43[/C][C]101.944372177703[/C][C]-0.514372177702612[/C][/ROW]
[ROW][C]57[/C][C]101.4[/C][C]101.754284004816[/C][C]-0.35428400481635[/C][/ROW]
[ROW][C]58[/C][C]101.6[/C][C]101.808205003651[/C][C]-0.208205003650889[/C][/ROW]
[ROW][C]59[/C][C]101.72[/C][C]101.758992698865[/C][C]-0.0389926988646181[/C][/ROW]
[ROW][C]60[/C][C]101.73[/C][C]101.757578084813[/C][C]-0.0275780848132143[/C][/ROW]
[ROW][C]61[/C][C]102.67[/C][C]101.716211659421[/C][C]0.953788340579294[/C][/ROW]
[ROW][C]62[/C][C]102.59[/C][C]102.098988232792[/C][C]0.491011767207965[/C][/ROW]
[ROW][C]63[/C][C]102.69[/C][C]102.617311119221[/C][C]0.0726888807794097[/C][/ROW]
[ROW][C]64[/C][C]102.93[/C][C]102.838451320545[/C][C]0.0915486794552294[/C][/ROW]
[ROW][C]65[/C][C]103.02[/C][C]103.092587808258[/C][C]-0.0725878082582199[/C][/ROW]
[ROW][C]66[/C][C]103.06[/C][C]103.103531366962[/C][C]-0.0435313669615738[/C][/ROW]
[ROW][C]67[/C][C]102.47[/C][C]103.009180925514[/C][C]-0.539180925514287[/C][/ROW]
[ROW][C]68[/C][C]102.4[/C][C]102.783571351778[/C][C]-0.383571351777675[/C][/ROW]
[ROW][C]69[/C][C]102.42[/C][C]102.724035375957[/C][C]-0.304035375956744[/C][/ROW]
[ROW][C]70[/C][C]102.51[/C][C]102.828168507591[/C][C]-0.318168507590869[/C][/ROW]
[ROW][C]71[/C][C]102.61[/C][C]102.6684919739[/C][C]-0.0584919738997911[/C][/ROW]
[ROW][C]72[/C][C]102.78[/C][C]102.646995040472[/C][C]0.133004959528236[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
13102.73102.0935309829060.636469017093987
14102.18102.1778151631110.00218483688868787
15102.22102.224074386757-0.00407438675736671
16102.37102.384890519401-0.014890519401078
17102.53102.54857765664-0.0185776566396356
18102.61102.629749228026-0.0197492280257308
19102.62102.5754991867650.0445008132349898
20103102.9523537208880.047646279111774
21103.17103.344638200776-0.174638200776315
22103.52103.599317603735-0.0793176037347507
23103.69103.700649418173-0.0106494181731875
24103.73103.749354459914-0.0193544599137851
2599.57103.738022751898-4.16802275189789
2699.0998.99917676260950.0908232373904667
2799.1499.11581018775080.0241898122492188
2899.3699.28674564233020.0732543576697537
2999.699.52080489757420.0791951024258424
3099.6599.6823892326431-0.0323892326430695
3199.899.5980858295370.201914170463041
32100.15100.1156049098760.0343950901239509
33100.45100.477833447704-0.0278334477039976
34100.89100.8631326109220.0268673890780065
35101.13101.0549127026630.0750872973370207
36101.17101.173979695961-0.00397969596130565
37101.21101.1627128950240.0472871049756378
38101.1100.6416625252670.458337474733213
39101.17101.1298474718290.0401525281707933
40101.11101.320850315623-0.210850315622963
41101.2101.273710176553-0.0737101765531634
42101.15101.284648996995-0.134648996995324
43100.92101.09991388758-0.17991388758017
44101.1101.235821018364-0.135821018364481
45101.22101.42733096107-0.207330961069516
46101.25101.631872346197-0.381872346196928
47101.39101.411926876339-0.0219268763391085
48101.43101.430584308447-0.000584308446818227
49101.95101.4193318416930.530668158306781
50101.92101.3803221440580.539677855941648
51102.05101.9488504823350.101149517665291
52102.07102.200110834889-0.130110834889237
53102.1102.233311550734-0.133311550733808
54102.16102.183998754233-0.0239987542333324
55101.63102.109730772903-0.479730772903181
56101.43101.944372177703-0.514372177702612
57101.4101.754284004816-0.35428400481635
58101.6101.808205003651-0.208205003650889
59101.72101.758992698865-0.0389926988646181
60101.73101.757578084813-0.0275780848132143
61102.67101.7162116594210.953788340579294
62102.59102.0989882327920.491011767207965
63102.69102.6173111192210.0726888807794097
64102.93102.8384513205450.0915486794552294
65103.02103.092587808258-0.0725878082582199
66103.06103.103531366962-0.0435313669615738
67102.47103.009180925514-0.539180925514287
68102.4102.783571351778-0.383571351777675
69102.42102.724035375957-0.304035375956744
70102.51102.828168507591-0.318168507590869
71102.61102.6684919739-0.0584919738997911
72102.78102.6469950404720.133004959528236







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73102.766306542647101.592976586925103.939636498369
74102.191363085295100.528517674193103.854208496397
75102.212669627942100.171810960344104.25352829554
76102.35480950392399.9932634050538104.716355602792
77102.51069937990399.8648551740652105.156543585742
78102.58783925588499.6833723638384105.49230614793
79102.53081246519899.3870475016909105.674577428705
80102.84045234117999.472584871941106.208319810417
81103.16217555049399.582539195618106.741811905368
82103.56931542647499.7881644579755107.350466394972
83103.72812196912199.7541442385501107.702099699692
84103.76567851176899.6063474868238107.925009536713

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 102.766306542647 & 101.592976586925 & 103.939636498369 \tabularnewline
74 & 102.191363085295 & 100.528517674193 & 103.854208496397 \tabularnewline
75 & 102.212669627942 & 100.171810960344 & 104.25352829554 \tabularnewline
76 & 102.354809503923 & 99.9932634050538 & 104.716355602792 \tabularnewline
77 & 102.510699379903 & 99.8648551740652 & 105.156543585742 \tabularnewline
78 & 102.587839255884 & 99.6833723638384 & 105.49230614793 \tabularnewline
79 & 102.530812465198 & 99.3870475016909 & 105.674577428705 \tabularnewline
80 & 102.840452341179 & 99.472584871941 & 106.208319810417 \tabularnewline
81 & 103.162175550493 & 99.582539195618 & 106.741811905368 \tabularnewline
82 & 103.569315426474 & 99.7881644579755 & 107.350466394972 \tabularnewline
83 & 103.728121969121 & 99.7541442385501 & 107.702099699692 \tabularnewline
84 & 103.765678511768 & 99.6063474868238 & 107.925009536713 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]102.766306542647[/C][C]101.592976586925[/C][C]103.939636498369[/C][/ROW]
[ROW][C]74[/C][C]102.191363085295[/C][C]100.528517674193[/C][C]103.854208496397[/C][/ROW]
[ROW][C]75[/C][C]102.212669627942[/C][C]100.171810960344[/C][C]104.25352829554[/C][/ROW]
[ROW][C]76[/C][C]102.354809503923[/C][C]99.9932634050538[/C][C]104.716355602792[/C][/ROW]
[ROW][C]77[/C][C]102.510699379903[/C][C]99.8648551740652[/C][C]105.156543585742[/C][/ROW]
[ROW][C]78[/C][C]102.587839255884[/C][C]99.6833723638384[/C][C]105.49230614793[/C][/ROW]
[ROW][C]79[/C][C]102.530812465198[/C][C]99.3870475016909[/C][C]105.674577428705[/C][/ROW]
[ROW][C]80[/C][C]102.840452341179[/C][C]99.472584871941[/C][C]106.208319810417[/C][/ROW]
[ROW][C]81[/C][C]103.162175550493[/C][C]99.582539195618[/C][C]106.741811905368[/C][/ROW]
[ROW][C]82[/C][C]103.569315426474[/C][C]99.7881644579755[/C][C]107.350466394972[/C][/ROW]
[ROW][C]83[/C][C]103.728121969121[/C][C]99.7541442385501[/C][C]107.702099699692[/C][/ROW]
[ROW][C]84[/C][C]103.765678511768[/C][C]99.6063474868238[/C][C]107.925009536713[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
73102.766306542647101.592976586925103.939636498369
74102.191363085295100.528517674193103.854208496397
75102.212669627942100.171810960344104.25352829554
76102.35480950392399.9932634050538104.716355602792
77102.51069937990399.8648551740652105.156543585742
78102.58783925588499.6833723638384105.49230614793
79102.53081246519899.3870475016909105.674577428705
80102.84045234117999.472584871941106.208319810417
81103.16217555049399.582539195618106.741811905368
82103.56931542647499.7881644579755107.350466394972
83103.72812196912199.7541442385501107.702099699692
84103.76567851176899.6063474868238107.925009536713



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
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')