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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 24 May 2013 04:49:53 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/24/t13693860083dejddj5sx9g72t.htm/, Retrieved Tue, 30 Apr 2024 23:45:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210402, Retrieved Tue, 30 Apr 2024 23:45:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [gemiddelde consum...] [2013-05-24 08:49:53] [b63567b613f887a01bb6abfb1a1e8ea5] [Current]
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Dataseries X:
33,7
34,59
35,1
35,87
37,15
37,61
37,97
38,94
39,18
39,49
39,86
40,02
40,2
40,85
41,45
41,7
41,92
41,97
42,31
42,61
42,82
43,07
43,51
43,57
43,86
44,49
45,99
48,22
49,46
50,39
50,4
50,59
51,32
51,86
52,47
52,73
52,73
53,59
54,11
54,8
55,72
56,06
56,66
57,05
57,31
57,89
58,32
58,72
59,02
59,54
61,49
62,26
63,49
64,36
65,93
66,82
68,85
71,27
72,27
73,4
73,58
74,84
75,74
77,81
78,74
79,06
79,48
81,19
85,11
86,64
88,48
89,2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210402&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]3 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=210402&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210402&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.834027115207509
beta0.247194022449966
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.834027115207509 \tabularnewline
beta & 0.247194022449966 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210402&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]0.834027115207509[/C][/ROW]
[ROW][C]beta[/C][C]0.247194022449966[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210402&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210402&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
alpha0.834027115207509
beta0.247194022449966
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1340.237.59104789580162.60895210419838
1440.8541.0029262831071-0.152926283107107
1541.4542.06678435509-0.616784355090026
1641.742.2694827899412-0.569482789941183
1741.9242.3630542643891-0.443054264389104
1841.9742.3001928493455-0.330192849345551
1942.3142.8347503388802-0.52475033888016
2042.6143.2645019286457-0.654501928645729
2142.8242.65134158904640.168658410953604
2243.0742.85851797901040.211482020989571
2343.5143.28327311013590.226726889864096
2443.5743.605633503924-0.0356335039239752
2543.8644.2199046661201-0.359904666120087
2644.4944.05329403871810.43670596128193
2745.9945.03800855559410.951991444405913
2848.2246.3628826429881.85711735701201
2949.4648.80275287491440.657247125085625
3050.3950.1699798062560.220020193744034
3150.451.8399843627171-1.43998436271706
3250.5952.0422689734211-1.45226897342106
3351.3251.16776032687350.152239673126459
3451.8651.62412215954390.235877840456084
3552.4752.35811129590950.111888704090482
3652.7352.759753512525-0.0297535125249908
3752.7353.6509063878024-0.920906387802418
3853.5953.30584705132210.284152948677857
3954.1154.4435774743805-0.33357747438054
4054.854.71892487034580.0810751296541738
4155.7254.94109229622530.778907703774649
4256.0655.82346883668230.236531163317728
4356.6656.7654578670947-0.105457867094664
4457.0557.9442388953289-0.894238895328854
4557.3157.7248117121663-0.414811712166312
4657.8957.49474574229740.395254257702646
4758.3258.16226270296610.157737297033911
4858.7258.38304680956690.336953190433064
4959.0259.3638439240689-0.343843924068914
5059.5459.7586869146912-0.21868691469124
5161.4960.34025748321461.14974251678536
5262.2662.18560747169470.0743925283052818
5363.4962.72877150604890.761228493951087
5464.3663.67355261149780.68644738850216
5565.9365.26236963758420.667630362415849
5666.8267.5199238104174-0.699923810417445
5768.8568.09509275521310.754907244786892
5871.2769.71713457247561.55286542752435
5972.2772.2778369810459-0.00783698104588382
6073.473.26468988697440.135310113025639
6173.5874.8928848610081-1.31288486100813
6274.8475.2780188086805-0.438018808680468
6375.7476.7254927219573-0.985492721957257
6477.8176.86116887010960.948831129890408
6578.7478.64405443943810.0959455605619155
6679.0679.1717790457798-0.111779045779784
6779.4880.2147494884722-0.73474948847219
6881.1980.97385986132110.216140138678853
6985.1182.65749254688532.45250745311473
7086.6486.18296258133730.457037418662651
7188.4887.61185188512740.868148114872653
7289.289.573961044603-0.37396104460295

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 40.2 & 37.5910478958016 & 2.60895210419838 \tabularnewline
14 & 40.85 & 41.0029262831071 & -0.152926283107107 \tabularnewline
15 & 41.45 & 42.06678435509 & -0.616784355090026 \tabularnewline
16 & 41.7 & 42.2694827899412 & -0.569482789941183 \tabularnewline
17 & 41.92 & 42.3630542643891 & -0.443054264389104 \tabularnewline
18 & 41.97 & 42.3001928493455 & -0.330192849345551 \tabularnewline
19 & 42.31 & 42.8347503388802 & -0.52475033888016 \tabularnewline
20 & 42.61 & 43.2645019286457 & -0.654501928645729 \tabularnewline
21 & 42.82 & 42.6513415890464 & 0.168658410953604 \tabularnewline
22 & 43.07 & 42.8585179790104 & 0.211482020989571 \tabularnewline
23 & 43.51 & 43.2832731101359 & 0.226726889864096 \tabularnewline
24 & 43.57 & 43.605633503924 & -0.0356335039239752 \tabularnewline
25 & 43.86 & 44.2199046661201 & -0.359904666120087 \tabularnewline
26 & 44.49 & 44.0532940387181 & 0.43670596128193 \tabularnewline
27 & 45.99 & 45.0380085555941 & 0.951991444405913 \tabularnewline
28 & 48.22 & 46.362882642988 & 1.85711735701201 \tabularnewline
29 & 49.46 & 48.8027528749144 & 0.657247125085625 \tabularnewline
30 & 50.39 & 50.169979806256 & 0.220020193744034 \tabularnewline
31 & 50.4 & 51.8399843627171 & -1.43998436271706 \tabularnewline
32 & 50.59 & 52.0422689734211 & -1.45226897342106 \tabularnewline
33 & 51.32 & 51.1677603268735 & 0.152239673126459 \tabularnewline
34 & 51.86 & 51.6241221595439 & 0.235877840456084 \tabularnewline
35 & 52.47 & 52.3581112959095 & 0.111888704090482 \tabularnewline
36 & 52.73 & 52.759753512525 & -0.0297535125249908 \tabularnewline
37 & 52.73 & 53.6509063878024 & -0.920906387802418 \tabularnewline
38 & 53.59 & 53.3058470513221 & 0.284152948677857 \tabularnewline
39 & 54.11 & 54.4435774743805 & -0.33357747438054 \tabularnewline
40 & 54.8 & 54.7189248703458 & 0.0810751296541738 \tabularnewline
41 & 55.72 & 54.9410922962253 & 0.778907703774649 \tabularnewline
42 & 56.06 & 55.8234688366823 & 0.236531163317728 \tabularnewline
43 & 56.66 & 56.7654578670947 & -0.105457867094664 \tabularnewline
44 & 57.05 & 57.9442388953289 & -0.894238895328854 \tabularnewline
45 & 57.31 & 57.7248117121663 & -0.414811712166312 \tabularnewline
46 & 57.89 & 57.4947457422974 & 0.395254257702646 \tabularnewline
47 & 58.32 & 58.1622627029661 & 0.157737297033911 \tabularnewline
48 & 58.72 & 58.3830468095669 & 0.336953190433064 \tabularnewline
49 & 59.02 & 59.3638439240689 & -0.343843924068914 \tabularnewline
50 & 59.54 & 59.7586869146912 & -0.21868691469124 \tabularnewline
51 & 61.49 & 60.3402574832146 & 1.14974251678536 \tabularnewline
52 & 62.26 & 62.1856074716947 & 0.0743925283052818 \tabularnewline
53 & 63.49 & 62.7287715060489 & 0.761228493951087 \tabularnewline
54 & 64.36 & 63.6735526114978 & 0.68644738850216 \tabularnewline
55 & 65.93 & 65.2623696375842 & 0.667630362415849 \tabularnewline
56 & 66.82 & 67.5199238104174 & -0.699923810417445 \tabularnewline
57 & 68.85 & 68.0950927552131 & 0.754907244786892 \tabularnewline
58 & 71.27 & 69.7171345724756 & 1.55286542752435 \tabularnewline
59 & 72.27 & 72.2778369810459 & -0.00783698104588382 \tabularnewline
60 & 73.4 & 73.2646898869744 & 0.135310113025639 \tabularnewline
61 & 73.58 & 74.8928848610081 & -1.31288486100813 \tabularnewline
62 & 74.84 & 75.2780188086805 & -0.438018808680468 \tabularnewline
63 & 75.74 & 76.7254927219573 & -0.985492721957257 \tabularnewline
64 & 77.81 & 76.8611688701096 & 0.948831129890408 \tabularnewline
65 & 78.74 & 78.6440544394381 & 0.0959455605619155 \tabularnewline
66 & 79.06 & 79.1717790457798 & -0.111779045779784 \tabularnewline
67 & 79.48 & 80.2147494884722 & -0.73474948847219 \tabularnewline
68 & 81.19 & 80.9738598613211 & 0.216140138678853 \tabularnewline
69 & 85.11 & 82.6574925468853 & 2.45250745311473 \tabularnewline
70 & 86.64 & 86.1829625813373 & 0.457037418662651 \tabularnewline
71 & 88.48 & 87.6118518851274 & 0.868148114872653 \tabularnewline
72 & 89.2 & 89.573961044603 & -0.37396104460295 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210402&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]40.2[/C][C]37.5910478958016[/C][C]2.60895210419838[/C][/ROW]
[ROW][C]14[/C][C]40.85[/C][C]41.0029262831071[/C][C]-0.152926283107107[/C][/ROW]
[ROW][C]15[/C][C]41.45[/C][C]42.06678435509[/C][C]-0.616784355090026[/C][/ROW]
[ROW][C]16[/C][C]41.7[/C][C]42.2694827899412[/C][C]-0.569482789941183[/C][/ROW]
[ROW][C]17[/C][C]41.92[/C][C]42.3630542643891[/C][C]-0.443054264389104[/C][/ROW]
[ROW][C]18[/C][C]41.97[/C][C]42.3001928493455[/C][C]-0.330192849345551[/C][/ROW]
[ROW][C]19[/C][C]42.31[/C][C]42.8347503388802[/C][C]-0.52475033888016[/C][/ROW]
[ROW][C]20[/C][C]42.61[/C][C]43.2645019286457[/C][C]-0.654501928645729[/C][/ROW]
[ROW][C]21[/C][C]42.82[/C][C]42.6513415890464[/C][C]0.168658410953604[/C][/ROW]
[ROW][C]22[/C][C]43.07[/C][C]42.8585179790104[/C][C]0.211482020989571[/C][/ROW]
[ROW][C]23[/C][C]43.51[/C][C]43.2832731101359[/C][C]0.226726889864096[/C][/ROW]
[ROW][C]24[/C][C]43.57[/C][C]43.605633503924[/C][C]-0.0356335039239752[/C][/ROW]
[ROW][C]25[/C][C]43.86[/C][C]44.2199046661201[/C][C]-0.359904666120087[/C][/ROW]
[ROW][C]26[/C][C]44.49[/C][C]44.0532940387181[/C][C]0.43670596128193[/C][/ROW]
[ROW][C]27[/C][C]45.99[/C][C]45.0380085555941[/C][C]0.951991444405913[/C][/ROW]
[ROW][C]28[/C][C]48.22[/C][C]46.362882642988[/C][C]1.85711735701201[/C][/ROW]
[ROW][C]29[/C][C]49.46[/C][C]48.8027528749144[/C][C]0.657247125085625[/C][/ROW]
[ROW][C]30[/C][C]50.39[/C][C]50.169979806256[/C][C]0.220020193744034[/C][/ROW]
[ROW][C]31[/C][C]50.4[/C][C]51.8399843627171[/C][C]-1.43998436271706[/C][/ROW]
[ROW][C]32[/C][C]50.59[/C][C]52.0422689734211[/C][C]-1.45226897342106[/C][/ROW]
[ROW][C]33[/C][C]51.32[/C][C]51.1677603268735[/C][C]0.152239673126459[/C][/ROW]
[ROW][C]34[/C][C]51.86[/C][C]51.6241221595439[/C][C]0.235877840456084[/C][/ROW]
[ROW][C]35[/C][C]52.47[/C][C]52.3581112959095[/C][C]0.111888704090482[/C][/ROW]
[ROW][C]36[/C][C]52.73[/C][C]52.759753512525[/C][C]-0.0297535125249908[/C][/ROW]
[ROW][C]37[/C][C]52.73[/C][C]53.6509063878024[/C][C]-0.920906387802418[/C][/ROW]
[ROW][C]38[/C][C]53.59[/C][C]53.3058470513221[/C][C]0.284152948677857[/C][/ROW]
[ROW][C]39[/C][C]54.11[/C][C]54.4435774743805[/C][C]-0.33357747438054[/C][/ROW]
[ROW][C]40[/C][C]54.8[/C][C]54.7189248703458[/C][C]0.0810751296541738[/C][/ROW]
[ROW][C]41[/C][C]55.72[/C][C]54.9410922962253[/C][C]0.778907703774649[/C][/ROW]
[ROW][C]42[/C][C]56.06[/C][C]55.8234688366823[/C][C]0.236531163317728[/C][/ROW]
[ROW][C]43[/C][C]56.66[/C][C]56.7654578670947[/C][C]-0.105457867094664[/C][/ROW]
[ROW][C]44[/C][C]57.05[/C][C]57.9442388953289[/C][C]-0.894238895328854[/C][/ROW]
[ROW][C]45[/C][C]57.31[/C][C]57.7248117121663[/C][C]-0.414811712166312[/C][/ROW]
[ROW][C]46[/C][C]57.89[/C][C]57.4947457422974[/C][C]0.395254257702646[/C][/ROW]
[ROW][C]47[/C][C]58.32[/C][C]58.1622627029661[/C][C]0.157737297033911[/C][/ROW]
[ROW][C]48[/C][C]58.72[/C][C]58.3830468095669[/C][C]0.336953190433064[/C][/ROW]
[ROW][C]49[/C][C]59.02[/C][C]59.3638439240689[/C][C]-0.343843924068914[/C][/ROW]
[ROW][C]50[/C][C]59.54[/C][C]59.7586869146912[/C][C]-0.21868691469124[/C][/ROW]
[ROW][C]51[/C][C]61.49[/C][C]60.3402574832146[/C][C]1.14974251678536[/C][/ROW]
[ROW][C]52[/C][C]62.26[/C][C]62.1856074716947[/C][C]0.0743925283052818[/C][/ROW]
[ROW][C]53[/C][C]63.49[/C][C]62.7287715060489[/C][C]0.761228493951087[/C][/ROW]
[ROW][C]54[/C][C]64.36[/C][C]63.6735526114978[/C][C]0.68644738850216[/C][/ROW]
[ROW][C]55[/C][C]65.93[/C][C]65.2623696375842[/C][C]0.667630362415849[/C][/ROW]
[ROW][C]56[/C][C]66.82[/C][C]67.5199238104174[/C][C]-0.699923810417445[/C][/ROW]
[ROW][C]57[/C][C]68.85[/C][C]68.0950927552131[/C][C]0.754907244786892[/C][/ROW]
[ROW][C]58[/C][C]71.27[/C][C]69.7171345724756[/C][C]1.55286542752435[/C][/ROW]
[ROW][C]59[/C][C]72.27[/C][C]72.2778369810459[/C][C]-0.00783698104588382[/C][/ROW]
[ROW][C]60[/C][C]73.4[/C][C]73.2646898869744[/C][C]0.135310113025639[/C][/ROW]
[ROW][C]61[/C][C]73.58[/C][C]74.8928848610081[/C][C]-1.31288486100813[/C][/ROW]
[ROW][C]62[/C][C]74.84[/C][C]75.2780188086805[/C][C]-0.438018808680468[/C][/ROW]
[ROW][C]63[/C][C]75.74[/C][C]76.7254927219573[/C][C]-0.985492721957257[/C][/ROW]
[ROW][C]64[/C][C]77.81[/C][C]76.8611688701096[/C][C]0.948831129890408[/C][/ROW]
[ROW][C]65[/C][C]78.74[/C][C]78.6440544394381[/C][C]0.0959455605619155[/C][/ROW]
[ROW][C]66[/C][C]79.06[/C][C]79.1717790457798[/C][C]-0.111779045779784[/C][/ROW]
[ROW][C]67[/C][C]79.48[/C][C]80.2147494884722[/C][C]-0.73474948847219[/C][/ROW]
[ROW][C]68[/C][C]81.19[/C][C]80.9738598613211[/C][C]0.216140138678853[/C][/ROW]
[ROW][C]69[/C][C]85.11[/C][C]82.6574925468853[/C][C]2.45250745311473[/C][/ROW]
[ROW][C]70[/C][C]86.64[/C][C]86.1829625813373[/C][C]0.457037418662651[/C][/ROW]
[ROW][C]71[/C][C]88.48[/C][C]87.6118518851274[/C][C]0.868148114872653[/C][/ROW]
[ROW][C]72[/C][C]89.2[/C][C]89.573961044603[/C][C]-0.37396104460295[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210402&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210402&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
1340.237.59104789580162.60895210419838
1440.8541.0029262831071-0.152926283107107
1541.4542.06678435509-0.616784355090026
1641.742.2694827899412-0.569482789941183
1741.9242.3630542643891-0.443054264389104
1841.9742.3001928493455-0.330192849345551
1942.3142.8347503388802-0.52475033888016
2042.6143.2645019286457-0.654501928645729
2142.8242.65134158904640.168658410953604
2243.0742.85851797901040.211482020989571
2343.5143.28327311013590.226726889864096
2443.5743.605633503924-0.0356335039239752
2543.8644.2199046661201-0.359904666120087
2644.4944.05329403871810.43670596128193
2745.9945.03800855559410.951991444405913
2848.2246.3628826429881.85711735701201
2949.4648.80275287491440.657247125085625
3050.3950.1699798062560.220020193744034
3150.451.8399843627171-1.43998436271706
3250.5952.0422689734211-1.45226897342106
3351.3251.16776032687350.152239673126459
3451.8651.62412215954390.235877840456084
3552.4752.35811129590950.111888704090482
3652.7352.759753512525-0.0297535125249908
3752.7353.6509063878024-0.920906387802418
3853.5953.30584705132210.284152948677857
3954.1154.4435774743805-0.33357747438054
4054.854.71892487034580.0810751296541738
4155.7254.94109229622530.778907703774649
4256.0655.82346883668230.236531163317728
4356.6656.7654578670947-0.105457867094664
4457.0557.9442388953289-0.894238895328854
4557.3157.7248117121663-0.414811712166312
4657.8957.49474574229740.395254257702646
4758.3258.16226270296610.157737297033911
4858.7258.38304680956690.336953190433064
4959.0259.3638439240689-0.343843924068914
5059.5459.7586869146912-0.21868691469124
5161.4960.34025748321461.14974251678536
5262.2662.18560747169470.0743925283052818
5363.4962.72877150604890.761228493951087
5464.3663.67355261149780.68644738850216
5565.9365.26236963758420.667630362415849
5666.8267.5199238104174-0.699923810417445
5768.8568.09509275521310.754907244786892
5871.2769.71713457247561.55286542752435
5972.2772.2778369810459-0.00783698104588382
6073.473.26468988697440.135310113025639
6173.5874.8928848610081-1.31288486100813
6274.8475.2780188086805-0.438018808680468
6375.7476.7254927219573-0.985492721957257
6477.8176.86116887010960.948831129890408
6578.7478.64405443943810.0959455605619155
6679.0679.1717790457798-0.111779045779784
6779.4880.2147494884722-0.73474948847219
6881.1980.97385986132110.216140138678853
6985.1182.65749254688532.45250745311473
7086.6486.18296258133730.457037418662651
7188.4887.61185188512740.868148114872653
7289.289.573961044603-0.37396104460295







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7390.701799921609789.120782460067692.2828173831518
7492.907209794320190.619405280956495.1950143076838
7595.348675225817492.310021895098998.3873285565359
7697.5001082951893.669911420549101.330305169811
7798.867700603818794.2296656277651103.505735579872
7899.658782934674794.2029527653948105.114613103955
79101.25485144247494.9036102576775107.60609262727
80103.67995004296.3373968376879111.022503246313
81106.48197796347798.069025038499114.894930888456
82107.73145578866398.3253267061435117.137584871183
83108.82633674740198.4114947601382119.241178734663
84109.60938859998498.2639523103787120.954824889588

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 90.7017999216097 & 89.1207824600676 & 92.2828173831518 \tabularnewline
74 & 92.9072097943201 & 90.6194052809564 & 95.1950143076838 \tabularnewline
75 & 95.3486752258174 & 92.3100218950989 & 98.3873285565359 \tabularnewline
76 & 97.50010829518 & 93.669911420549 & 101.330305169811 \tabularnewline
77 & 98.8677006038187 & 94.2296656277651 & 103.505735579872 \tabularnewline
78 & 99.6587829346747 & 94.2029527653948 & 105.114613103955 \tabularnewline
79 & 101.254851442474 & 94.9036102576775 & 107.60609262727 \tabularnewline
80 & 103.679950042 & 96.3373968376879 & 111.022503246313 \tabularnewline
81 & 106.481977963477 & 98.069025038499 & 114.894930888456 \tabularnewline
82 & 107.731455788663 & 98.3253267061435 & 117.137584871183 \tabularnewline
83 & 108.826336747401 & 98.4114947601382 & 119.241178734663 \tabularnewline
84 & 109.609388599984 & 98.2639523103787 & 120.954824889588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210402&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]90.7017999216097[/C][C]89.1207824600676[/C][C]92.2828173831518[/C][/ROW]
[ROW][C]74[/C][C]92.9072097943201[/C][C]90.6194052809564[/C][C]95.1950143076838[/C][/ROW]
[ROW][C]75[/C][C]95.3486752258174[/C][C]92.3100218950989[/C][C]98.3873285565359[/C][/ROW]
[ROW][C]76[/C][C]97.50010829518[/C][C]93.669911420549[/C][C]101.330305169811[/C][/ROW]
[ROW][C]77[/C][C]98.8677006038187[/C][C]94.2296656277651[/C][C]103.505735579872[/C][/ROW]
[ROW][C]78[/C][C]99.6587829346747[/C][C]94.2029527653948[/C][C]105.114613103955[/C][/ROW]
[ROW][C]79[/C][C]101.254851442474[/C][C]94.9036102576775[/C][C]107.60609262727[/C][/ROW]
[ROW][C]80[/C][C]103.679950042[/C][C]96.3373968376879[/C][C]111.022503246313[/C][/ROW]
[ROW][C]81[/C][C]106.481977963477[/C][C]98.069025038499[/C][C]114.894930888456[/C][/ROW]
[ROW][C]82[/C][C]107.731455788663[/C][C]98.3253267061435[/C][C]117.137584871183[/C][/ROW]
[ROW][C]83[/C][C]108.826336747401[/C][C]98.4114947601382[/C][C]119.241178734663[/C][/ROW]
[ROW][C]84[/C][C]109.609388599984[/C][C]98.2639523103787[/C][C]120.954824889588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210402&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210402&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
7390.701799921609789.120782460067692.2828173831518
7492.907209794320190.619405280956495.1950143076838
7595.348675225817492.310021895098998.3873285565359
7697.5001082951893.669911420549101.330305169811
7798.867700603818794.2296656277651103.505735579872
7899.658782934674794.2029527653948105.114613103955
79101.25485144247494.9036102576775107.60609262727
80103.67995004296.3373968376879111.022503246313
81106.48197796347798.069025038499114.894930888456
82107.73145578866398.3253267061435117.137584871183
83108.82633674740198.4114947601382119.241178734663
84109.60938859998498.2639523103787120.954824889588



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')