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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 11 Jan 2016 19:22:11 +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/2016/Jan/11/t1452540151js4efod989jgdum.htm/, Retrieved Tue, 07 May 2024 11:25:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=289689, Retrieved Tue, 07 May 2024 11:25:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [] [2016-01-02 15:33:47] [d7494bc808e1a2d5400b733620febf4e]
- RMPD    [Exponential Smoothing] [] [2016-01-11 19:22:11] [c7db9dbe56b0646da05788291b2eebd0] [Current]
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Dataseries X:
99.1
98.9
98.8
98.8
99.2
99.6
100.5
100.6
100.7
101
101.3
101.5
102.3
103
102.9
103.5
103.8
103.6
103.4
103.4
103.3
103.2
103.2
103.5
104.5
105.7
106.5
107
106.7
107.1
106.1
106.2
106.5
106.8
107
107.2
107.8
107.9
107.9
108.2
108.9
109.1
109.3
109.8
109.8
109.9
109.9
109.9
108.8
108.5
108.8
108.8
108.8
108.9
108.8
108.4
107.7
107.3
107
107.7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289689&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289689&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289689&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.400664883436271
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.400664883436271 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289689&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]0.400664883436271[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289689&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289689&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
beta0.400664883436271
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
398.898.70.0999999999999801
498.898.64006648834360.159933511656376
599.298.7041462301490.495853769851024
699.699.30281742304780.29718257695221
7100.599.82188804560160.678111954398375
8100.6100.993583692767-0.393583692767407
9100.7100.935888528382-0.235888528382318
10101100.9413762786540.0586237213459242
11101.3101.2648647451340.0351352548662618
12101.5101.578942207929-0.0789422079292308
13102.3101.7473128373910.552687162608933
14103102.7687551749740.231244825025513
15102.9103.561406855839-0.661406855838578
16103.5103.196404355040.303595644959927
17103.8103.91804446874-0.118044468739697
18103.6104.170748195432-0.570748195431804
19103.4103.742069436238-0.342069436237651
20103.4103.40501422544-0.00501422544039087
21103.3103.403005201389-0.103005201388797
22103.2103.261734634381-0.0617346343810112
23103.2103.1369997342930.0630002657072311
24103.5103.1622417284090.337758271591184
25104.5103.5975696069260.902430393074468
26105.7104.9591417751760.740858224823938
27106.5106.4559776494680.0440223505320461
28107107.273615859412-0.273615859412459
29106.7107.663987592995-0.963987592994656
30107.1106.9777516164130.122248383586552
31106.1107.426732250773-1.32673225077342
32106.2105.8951572281660.304842771833862
33106.5106.1172970218090.38270297819065
34106.8106.5706326659570.229367334043175
35107106.9625321021150.0374678978846816
36107.2107.1775441730540.0224558269461141
37107.8107.386541434340.413458565660278
38107.9108.152199762356-0.252199762355716
39107.9108.151152173969-0.251152173968819
40108.2108.0505243174610.149475682539162
41108.9108.4104139743820.489586025618053
42109.1109.306573902268-0.206573902268246
43109.3109.423806993795-0.123806993794943
44109.8109.5742018790570.2257981209425
45109.8110.164671256865-0.364671256865051
46109.9110.018560290241-0.118560290240652
47109.9110.071057345371-0.171057345371224
48109.9110.002520674027-0.102520674027147
49108.8109.961444240118-1.16144424011826
50108.5108.3960943190340.103905680966463
51108.8108.1377256765860.662274323413669
52108.8108.703075741180.0969242588202945
53108.8108.7419098880420.0580901119579096
54108.9108.7651845559780.134815444021513
55108.8108.919200370143-0.119200370142792
56108.4108.771440967734-0.37144096773396
57107.7108.222617615693-0.522617615693392
58107.3107.31322308962-0.0132230896198564
59107106.9079250619590.0920749380413639
60107.7106.6448162562761.05518374372362

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 98.8 & 98.7 & 0.0999999999999801 \tabularnewline
4 & 98.8 & 98.6400664883436 & 0.159933511656376 \tabularnewline
5 & 99.2 & 98.704146230149 & 0.495853769851024 \tabularnewline
6 & 99.6 & 99.3028174230478 & 0.29718257695221 \tabularnewline
7 & 100.5 & 99.8218880456016 & 0.678111954398375 \tabularnewline
8 & 100.6 & 100.993583692767 & -0.393583692767407 \tabularnewline
9 & 100.7 & 100.935888528382 & -0.235888528382318 \tabularnewline
10 & 101 & 100.941376278654 & 0.0586237213459242 \tabularnewline
11 & 101.3 & 101.264864745134 & 0.0351352548662618 \tabularnewline
12 & 101.5 & 101.578942207929 & -0.0789422079292308 \tabularnewline
13 & 102.3 & 101.747312837391 & 0.552687162608933 \tabularnewline
14 & 103 & 102.768755174974 & 0.231244825025513 \tabularnewline
15 & 102.9 & 103.561406855839 & -0.661406855838578 \tabularnewline
16 & 103.5 & 103.19640435504 & 0.303595644959927 \tabularnewline
17 & 103.8 & 103.91804446874 & -0.118044468739697 \tabularnewline
18 & 103.6 & 104.170748195432 & -0.570748195431804 \tabularnewline
19 & 103.4 & 103.742069436238 & -0.342069436237651 \tabularnewline
20 & 103.4 & 103.40501422544 & -0.00501422544039087 \tabularnewline
21 & 103.3 & 103.403005201389 & -0.103005201388797 \tabularnewline
22 & 103.2 & 103.261734634381 & -0.0617346343810112 \tabularnewline
23 & 103.2 & 103.136999734293 & 0.0630002657072311 \tabularnewline
24 & 103.5 & 103.162241728409 & 0.337758271591184 \tabularnewline
25 & 104.5 & 103.597569606926 & 0.902430393074468 \tabularnewline
26 & 105.7 & 104.959141775176 & 0.740858224823938 \tabularnewline
27 & 106.5 & 106.455977649468 & 0.0440223505320461 \tabularnewline
28 & 107 & 107.273615859412 & -0.273615859412459 \tabularnewline
29 & 106.7 & 107.663987592995 & -0.963987592994656 \tabularnewline
30 & 107.1 & 106.977751616413 & 0.122248383586552 \tabularnewline
31 & 106.1 & 107.426732250773 & -1.32673225077342 \tabularnewline
32 & 106.2 & 105.895157228166 & 0.304842771833862 \tabularnewline
33 & 106.5 & 106.117297021809 & 0.38270297819065 \tabularnewline
34 & 106.8 & 106.570632665957 & 0.229367334043175 \tabularnewline
35 & 107 & 106.962532102115 & 0.0374678978846816 \tabularnewline
36 & 107.2 & 107.177544173054 & 0.0224558269461141 \tabularnewline
37 & 107.8 & 107.38654143434 & 0.413458565660278 \tabularnewline
38 & 107.9 & 108.152199762356 & -0.252199762355716 \tabularnewline
39 & 107.9 & 108.151152173969 & -0.251152173968819 \tabularnewline
40 & 108.2 & 108.050524317461 & 0.149475682539162 \tabularnewline
41 & 108.9 & 108.410413974382 & 0.489586025618053 \tabularnewline
42 & 109.1 & 109.306573902268 & -0.206573902268246 \tabularnewline
43 & 109.3 & 109.423806993795 & -0.123806993794943 \tabularnewline
44 & 109.8 & 109.574201879057 & 0.2257981209425 \tabularnewline
45 & 109.8 & 110.164671256865 & -0.364671256865051 \tabularnewline
46 & 109.9 & 110.018560290241 & -0.118560290240652 \tabularnewline
47 & 109.9 & 110.071057345371 & -0.171057345371224 \tabularnewline
48 & 109.9 & 110.002520674027 & -0.102520674027147 \tabularnewline
49 & 108.8 & 109.961444240118 & -1.16144424011826 \tabularnewline
50 & 108.5 & 108.396094319034 & 0.103905680966463 \tabularnewline
51 & 108.8 & 108.137725676586 & 0.662274323413669 \tabularnewline
52 & 108.8 & 108.70307574118 & 0.0969242588202945 \tabularnewline
53 & 108.8 & 108.741909888042 & 0.0580901119579096 \tabularnewline
54 & 108.9 & 108.765184555978 & 0.134815444021513 \tabularnewline
55 & 108.8 & 108.919200370143 & -0.119200370142792 \tabularnewline
56 & 108.4 & 108.771440967734 & -0.37144096773396 \tabularnewline
57 & 107.7 & 108.222617615693 & -0.522617615693392 \tabularnewline
58 & 107.3 & 107.31322308962 & -0.0132230896198564 \tabularnewline
59 & 107 & 106.907925061959 & 0.0920749380413639 \tabularnewline
60 & 107.7 & 106.644816256276 & 1.05518374372362 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289689&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]98.8[/C][C]98.7[/C][C]0.0999999999999801[/C][/ROW]
[ROW][C]4[/C][C]98.8[/C][C]98.6400664883436[/C][C]0.159933511656376[/C][/ROW]
[ROW][C]5[/C][C]99.2[/C][C]98.704146230149[/C][C]0.495853769851024[/C][/ROW]
[ROW][C]6[/C][C]99.6[/C][C]99.3028174230478[/C][C]0.29718257695221[/C][/ROW]
[ROW][C]7[/C][C]100.5[/C][C]99.8218880456016[/C][C]0.678111954398375[/C][/ROW]
[ROW][C]8[/C][C]100.6[/C][C]100.993583692767[/C][C]-0.393583692767407[/C][/ROW]
[ROW][C]9[/C][C]100.7[/C][C]100.935888528382[/C][C]-0.235888528382318[/C][/ROW]
[ROW][C]10[/C][C]101[/C][C]100.941376278654[/C][C]0.0586237213459242[/C][/ROW]
[ROW][C]11[/C][C]101.3[/C][C]101.264864745134[/C][C]0.0351352548662618[/C][/ROW]
[ROW][C]12[/C][C]101.5[/C][C]101.578942207929[/C][C]-0.0789422079292308[/C][/ROW]
[ROW][C]13[/C][C]102.3[/C][C]101.747312837391[/C][C]0.552687162608933[/C][/ROW]
[ROW][C]14[/C][C]103[/C][C]102.768755174974[/C][C]0.231244825025513[/C][/ROW]
[ROW][C]15[/C][C]102.9[/C][C]103.561406855839[/C][C]-0.661406855838578[/C][/ROW]
[ROW][C]16[/C][C]103.5[/C][C]103.19640435504[/C][C]0.303595644959927[/C][/ROW]
[ROW][C]17[/C][C]103.8[/C][C]103.91804446874[/C][C]-0.118044468739697[/C][/ROW]
[ROW][C]18[/C][C]103.6[/C][C]104.170748195432[/C][C]-0.570748195431804[/C][/ROW]
[ROW][C]19[/C][C]103.4[/C][C]103.742069436238[/C][C]-0.342069436237651[/C][/ROW]
[ROW][C]20[/C][C]103.4[/C][C]103.40501422544[/C][C]-0.00501422544039087[/C][/ROW]
[ROW][C]21[/C][C]103.3[/C][C]103.403005201389[/C][C]-0.103005201388797[/C][/ROW]
[ROW][C]22[/C][C]103.2[/C][C]103.261734634381[/C][C]-0.0617346343810112[/C][/ROW]
[ROW][C]23[/C][C]103.2[/C][C]103.136999734293[/C][C]0.0630002657072311[/C][/ROW]
[ROW][C]24[/C][C]103.5[/C][C]103.162241728409[/C][C]0.337758271591184[/C][/ROW]
[ROW][C]25[/C][C]104.5[/C][C]103.597569606926[/C][C]0.902430393074468[/C][/ROW]
[ROW][C]26[/C][C]105.7[/C][C]104.959141775176[/C][C]0.740858224823938[/C][/ROW]
[ROW][C]27[/C][C]106.5[/C][C]106.455977649468[/C][C]0.0440223505320461[/C][/ROW]
[ROW][C]28[/C][C]107[/C][C]107.273615859412[/C][C]-0.273615859412459[/C][/ROW]
[ROW][C]29[/C][C]106.7[/C][C]107.663987592995[/C][C]-0.963987592994656[/C][/ROW]
[ROW][C]30[/C][C]107.1[/C][C]106.977751616413[/C][C]0.122248383586552[/C][/ROW]
[ROW][C]31[/C][C]106.1[/C][C]107.426732250773[/C][C]-1.32673225077342[/C][/ROW]
[ROW][C]32[/C][C]106.2[/C][C]105.895157228166[/C][C]0.304842771833862[/C][/ROW]
[ROW][C]33[/C][C]106.5[/C][C]106.117297021809[/C][C]0.38270297819065[/C][/ROW]
[ROW][C]34[/C][C]106.8[/C][C]106.570632665957[/C][C]0.229367334043175[/C][/ROW]
[ROW][C]35[/C][C]107[/C][C]106.962532102115[/C][C]0.0374678978846816[/C][/ROW]
[ROW][C]36[/C][C]107.2[/C][C]107.177544173054[/C][C]0.0224558269461141[/C][/ROW]
[ROW][C]37[/C][C]107.8[/C][C]107.38654143434[/C][C]0.413458565660278[/C][/ROW]
[ROW][C]38[/C][C]107.9[/C][C]108.152199762356[/C][C]-0.252199762355716[/C][/ROW]
[ROW][C]39[/C][C]107.9[/C][C]108.151152173969[/C][C]-0.251152173968819[/C][/ROW]
[ROW][C]40[/C][C]108.2[/C][C]108.050524317461[/C][C]0.149475682539162[/C][/ROW]
[ROW][C]41[/C][C]108.9[/C][C]108.410413974382[/C][C]0.489586025618053[/C][/ROW]
[ROW][C]42[/C][C]109.1[/C][C]109.306573902268[/C][C]-0.206573902268246[/C][/ROW]
[ROW][C]43[/C][C]109.3[/C][C]109.423806993795[/C][C]-0.123806993794943[/C][/ROW]
[ROW][C]44[/C][C]109.8[/C][C]109.574201879057[/C][C]0.2257981209425[/C][/ROW]
[ROW][C]45[/C][C]109.8[/C][C]110.164671256865[/C][C]-0.364671256865051[/C][/ROW]
[ROW][C]46[/C][C]109.9[/C][C]110.018560290241[/C][C]-0.118560290240652[/C][/ROW]
[ROW][C]47[/C][C]109.9[/C][C]110.071057345371[/C][C]-0.171057345371224[/C][/ROW]
[ROW][C]48[/C][C]109.9[/C][C]110.002520674027[/C][C]-0.102520674027147[/C][/ROW]
[ROW][C]49[/C][C]108.8[/C][C]109.961444240118[/C][C]-1.16144424011826[/C][/ROW]
[ROW][C]50[/C][C]108.5[/C][C]108.396094319034[/C][C]0.103905680966463[/C][/ROW]
[ROW][C]51[/C][C]108.8[/C][C]108.137725676586[/C][C]0.662274323413669[/C][/ROW]
[ROW][C]52[/C][C]108.8[/C][C]108.70307574118[/C][C]0.0969242588202945[/C][/ROW]
[ROW][C]53[/C][C]108.8[/C][C]108.741909888042[/C][C]0.0580901119579096[/C][/ROW]
[ROW][C]54[/C][C]108.9[/C][C]108.765184555978[/C][C]0.134815444021513[/C][/ROW]
[ROW][C]55[/C][C]108.8[/C][C]108.919200370143[/C][C]-0.119200370142792[/C][/ROW]
[ROW][C]56[/C][C]108.4[/C][C]108.771440967734[/C][C]-0.37144096773396[/C][/ROW]
[ROW][C]57[/C][C]107.7[/C][C]108.222617615693[/C][C]-0.522617615693392[/C][/ROW]
[ROW][C]58[/C][C]107.3[/C][C]107.31322308962[/C][C]-0.0132230896198564[/C][/ROW]
[ROW][C]59[/C][C]107[/C][C]106.907925061959[/C][C]0.0920749380413639[/C][/ROW]
[ROW][C]60[/C][C]107.7[/C][C]106.644816256276[/C][C]1.05518374372362[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289689&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289689&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
398.898.70.0999999999999801
498.898.64006648834360.159933511656376
599.298.7041462301490.495853769851024
699.699.30281742304780.29718257695221
7100.599.82188804560160.678111954398375
8100.6100.993583692767-0.393583692767407
9100.7100.935888528382-0.235888528382318
10101100.9413762786540.0586237213459242
11101.3101.2648647451340.0351352548662618
12101.5101.578942207929-0.0789422079292308
13102.3101.7473128373910.552687162608933
14103102.7687551749740.231244825025513
15102.9103.561406855839-0.661406855838578
16103.5103.196404355040.303595644959927
17103.8103.91804446874-0.118044468739697
18103.6104.170748195432-0.570748195431804
19103.4103.742069436238-0.342069436237651
20103.4103.40501422544-0.00501422544039087
21103.3103.403005201389-0.103005201388797
22103.2103.261734634381-0.0617346343810112
23103.2103.1369997342930.0630002657072311
24103.5103.1622417284090.337758271591184
25104.5103.5975696069260.902430393074468
26105.7104.9591417751760.740858224823938
27106.5106.4559776494680.0440223505320461
28107107.273615859412-0.273615859412459
29106.7107.663987592995-0.963987592994656
30107.1106.9777516164130.122248383586552
31106.1107.426732250773-1.32673225077342
32106.2105.8951572281660.304842771833862
33106.5106.1172970218090.38270297819065
34106.8106.5706326659570.229367334043175
35107106.9625321021150.0374678978846816
36107.2107.1775441730540.0224558269461141
37107.8107.386541434340.413458565660278
38107.9108.152199762356-0.252199762355716
39107.9108.151152173969-0.251152173968819
40108.2108.0505243174610.149475682539162
41108.9108.4104139743820.489586025618053
42109.1109.306573902268-0.206573902268246
43109.3109.423806993795-0.123806993794943
44109.8109.5742018790570.2257981209425
45109.8110.164671256865-0.364671256865051
46109.9110.018560290241-0.118560290240652
47109.9110.071057345371-0.171057345371224
48109.9110.002520674027-0.102520674027147
49108.8109.961444240118-1.16144424011826
50108.5108.3960943190340.103905680966463
51108.8108.1377256765860.662274323413669
52108.8108.703075741180.0969242588202945
53108.8108.7419098880420.0580901119579096
54108.9108.7651845559780.134815444021513
55108.8108.919200370143-0.119200370142792
56108.4108.771440967734-0.37144096773396
57107.7108.222617615693-0.522617615693392
58107.3107.31322308962-0.0132230896198564
59107106.9079250619590.0920749380413639
60107.7106.6448162562761.05518374372362







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61107.767591327959106.89911490577108.636067750149
62107.835182655919106.340529405484109.329835906353
63107.902773983878105.739125538851110.066422428904
64107.970365311837105.082706480871110.858024142803
65108.037956639796104.370839434897111.705073844695
66108.105547967756103.605429828289112.605666107222
67108.173139295715102.78883980438113.557438787049
68108.240730623674101.923392158116114.558069089232
69108.308321951633101.011234891614115.605409011653
70108.375913279593100.054315638759116.697510920426
71108.44350460755299.054391126721117.832618088383
72108.51109593551198.0130467355043119.009145135518

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 107.767591327959 & 106.89911490577 & 108.636067750149 \tabularnewline
62 & 107.835182655919 & 106.340529405484 & 109.329835906353 \tabularnewline
63 & 107.902773983878 & 105.739125538851 & 110.066422428904 \tabularnewline
64 & 107.970365311837 & 105.082706480871 & 110.858024142803 \tabularnewline
65 & 108.037956639796 & 104.370839434897 & 111.705073844695 \tabularnewline
66 & 108.105547967756 & 103.605429828289 & 112.605666107222 \tabularnewline
67 & 108.173139295715 & 102.78883980438 & 113.557438787049 \tabularnewline
68 & 108.240730623674 & 101.923392158116 & 114.558069089232 \tabularnewline
69 & 108.308321951633 & 101.011234891614 & 115.605409011653 \tabularnewline
70 & 108.375913279593 & 100.054315638759 & 116.697510920426 \tabularnewline
71 & 108.443504607552 & 99.054391126721 & 117.832618088383 \tabularnewline
72 & 108.511095935511 & 98.0130467355043 & 119.009145135518 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289689&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]61[/C][C]107.767591327959[/C][C]106.89911490577[/C][C]108.636067750149[/C][/ROW]
[ROW][C]62[/C][C]107.835182655919[/C][C]106.340529405484[/C][C]109.329835906353[/C][/ROW]
[ROW][C]63[/C][C]107.902773983878[/C][C]105.739125538851[/C][C]110.066422428904[/C][/ROW]
[ROW][C]64[/C][C]107.970365311837[/C][C]105.082706480871[/C][C]110.858024142803[/C][/ROW]
[ROW][C]65[/C][C]108.037956639796[/C][C]104.370839434897[/C][C]111.705073844695[/C][/ROW]
[ROW][C]66[/C][C]108.105547967756[/C][C]103.605429828289[/C][C]112.605666107222[/C][/ROW]
[ROW][C]67[/C][C]108.173139295715[/C][C]102.78883980438[/C][C]113.557438787049[/C][/ROW]
[ROW][C]68[/C][C]108.240730623674[/C][C]101.923392158116[/C][C]114.558069089232[/C][/ROW]
[ROW][C]69[/C][C]108.308321951633[/C][C]101.011234891614[/C][C]115.605409011653[/C][/ROW]
[ROW][C]70[/C][C]108.375913279593[/C][C]100.054315638759[/C][C]116.697510920426[/C][/ROW]
[ROW][C]71[/C][C]108.443504607552[/C][C]99.054391126721[/C][C]117.832618088383[/C][/ROW]
[ROW][C]72[/C][C]108.511095935511[/C][C]98.0130467355043[/C][C]119.009145135518[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289689&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289689&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
61107.767591327959106.89911490577108.636067750149
62107.835182655919106.340529405484109.329835906353
63107.902773983878105.739125538851110.066422428904
64107.970365311837105.082706480871110.858024142803
65108.037956639796104.370839434897111.705073844695
66108.105547967756103.605429828289112.605666107222
67108.173139295715102.78883980438113.557438787049
68108.240730623674101.923392158116114.558069089232
69108.308321951633101.011234891614115.605409011653
70108.375913279593100.054315638759116.697510920426
71108.44350460755299.054391126721117.832618088383
72108.51109593551198.0130467355043119.009145135518



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=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')