Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 04 Jul 2009 10:12:31 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jul/04/t1246724012akhcjz19dg5jdtk.htm/, Retrieved Sat, 18 May 2024 14:50:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42336, Retrieved Sat, 18 May 2024 14:50:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact254
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10, oefeni...] [2009-07-04 16:12:31] [564a720da86171cdf215ca3dfe587c26] [Current]
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Dataseries X:
9.26
9.29
9.28
9.31
9.27
9.27
9.28
9.25
9.32
9.33
9.31
9.3
9.29
9.33
9.35
9.35
9.37
9.37
9.35
9.33
9.34
9.37
9.33
9.31
9.26
9.27
9.29
9.27
9.29
9.31
9.33
9.35
9.34
9.35
9.38
9.43
9.47
9.5
9.55
9.58
9.61
9.57
9.61
9.65
9.62
9.63
9.62
9.63
9.65
9.72
9.75
9.77
9.78
9.82
9.84
9.9
9.94
9.96
10.03
10.03
10.12
10.12
10.05
10.14
10.17
10.2
10.2
10.35
10.43
10.52
10.57
10.57
10.57
10.65
10.57
10.61
10.63
10.71
10.72
10.77
10.79
10.82
10.9
10.83
10.92
10.91
10.88
10.87
11
10.99
11.03
11.04
10.99
10.9
11
10.99
10.92
10.98
11.15
11.19
11.33
11.38
11.4
11.45
11.56
11.61
11.82
11.77
11.85
11.82
11.92
11.86
11.87
11.94
11.86
11.92
11.83
11.91
11.93
11.99
11.96
12.12
11.85
12.01
12.1
12.21
12.31
12.31
12.39
12.35
12.41
12.51




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42336&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42336&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42336&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.796863822577094
beta0.0468032585328228
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.796863822577094 \tabularnewline
beta & 0.0468032585328228 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42336&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]0.796863822577094[/C][/ROW]
[ROW][C]beta[/C][C]0.0468032585328228[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42336&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42336&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
alpha0.796863822577094
beta0.0468032585328228
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
39.289.32-0.0399999999999991
49.319.31663361415677-0.00663361415677244
59.279.33960828797938-0.0696082879793831
69.279.3098046240713-0.0398046240712997
79.289.30226587547783-0.022265875477828
89.259.3078726969698-0.0578726969697936
99.329.2829473206860.0370526793140051
109.339.3350464527953-0.00504645279530003
119.319.35341009795203-0.0434100979520338
129.39.3395841268297-0.0395841268296913
139.299.32733061107319-0.0373306110731892
149.339.315480564614780.0145194353852176
159.359.345489458677520.00451054132247819
169.359.36769085151072-0.0176908515107250
179.379.37154096270876-0.00154096270875748
189.379.3882028645585-0.0182028645585071
199.359.39090860878503-0.0409086087850277
209.339.37399524661972-0.0439952466197244
219.349.35298141547763-0.0129814154776309
229.379.35619723179170.0138027682082935
239.339.38127118070931-0.0512711807093105
249.319.3525778530357-0.0425778530356951
259.269.32922394759101-0.0692239475910146
269.279.28205496925066-0.0120549692506593
279.299.279992281517910.0100077184820861
289.279.29588379757039-0.0258837975703887
299.299.282209305397410.00779069460258519
309.319.29565935815160.0143406418483938
319.339.314863672953080.0151363270469229
329.359.335266562285450.0147334377145487
339.349.35589789937695-0.0158978993769541
349.359.35152730685384-0.00152730685383595
359.389.358551157454530.0214488425454693
369.439.38468382253960.0453161774604087
379.479.431525607516110.0384743924838880
389.59.474350355714480.0256496442855205
399.559.50791215064610.0420878493538925
409.589.556142657505970.0238573424940292
419.619.590735712216890.0192642877831144
429.579.62238720527064-0.0523872052706356
439.619.59498839171460.0150116082853984
449.659.62185712465910.0281428753408957
459.629.66023930097633-0.0402393009763298
469.639.64262943701015-0.0126294370101476
479.629.64654984953122-0.0265498495312162
489.639.63838739041673-0.00838739041673264
499.659.644385123266980.00561487673301997
509.729.661750167694550.0582498323054477
519.759.723230579485520.0267694205144799
529.779.760623777583230.0093762224167655
539.789.78450665929435-0.0045066592943499
549.829.797158695247130.0228413047528733
559.849.832455219640930.00754478035907091
569.99.855843885930790.0441561140692137
579.949.910053638187480.0299463618125184
589.969.954057027167770.00594297283223533
5910.039.979154631916250.0508453680837455
6010.0310.0419296508618-0.0119296508617524
6110.1210.0542366020950.065763397905009
6210.1210.1309070332374-0.0109070332374390
6310.0510.1460747847545-0.09607478475451
6410.1410.08979224802210.0502077519779505
6510.1710.15194951214280.0180504878572290
6610.210.18915502366190.0108449763380918
6710.210.2210231960517-0.0210231960516882
6810.3510.22671269736300.123287302637022
6910.4310.35199611577670.0780038842232642
7010.5210.44410403539250.0758959646074704
7110.5710.53736283262620.0326371673737729
7210.5710.5973674893702-0.0273674893702189
7310.5710.6085359129155-0.0385359129154814
7410.6510.60936739517570.0406326048243368
7510.5710.6748008315678-0.104800831567776
7610.6110.6204349905888-0.0104349905887720
7710.6310.6408766928057-0.0108766928057378
7810.7110.66056076329050.0494392367095315
7910.7210.7301522929775-0.0101522929774944
8010.7710.75187885039790.0181211496021429
8110.7910.7968113345469-0.00681133454688698
8210.8210.8216219897395-0.00162198973949046
8310.910.85050735262890.0494926473710606
8410.8310.9219699896770-0.0919699896770165
8510.9210.87727607251250.0427239274874882
8610.9110.9415082891165-0.0315082891165481
8710.8810.9454124102493-0.0654124102493316
8810.8710.9198599541075-0.0498599541075304
891110.90484111956910.0951588804309438
9010.9911.0089315766759-0.0189315766759321
9111.0311.02140140727070.00859859272929064
9211.0411.0561297254907-0.0161297254907353
9310.9911.0705513701330-0.0805513701329836
9410.911.0306335070855-0.130633507085461
951110.94593491671930.0540650832807472
9610.9911.0104323529006-0.0204323529006025
9710.9211.0148034358867-0.0948034358867478
9810.9810.9563751211830.0236248788170048
9911.1510.99319915534610.156800844653912
10011.1911.14199431534880.0480056846512067
10111.3311.20588495981580.124115040184229
10211.3811.33505336889950.0449466311004816
10311.411.4028116585140-0.0028116585140463
10411.4511.43240823178690.0175917682130962
10511.5611.47891965715760.0810803428423856
10611.6111.57904678895360.0309532110463522
10711.8211.64038384838790.179616151612080
10811.7711.8268839592059-0.056883959205857
10911.8511.82280415357480.0271958464252169
11011.8211.8867387947487-0.0667387947487281
11111.9211.87333124037460.0466687596253887
11211.8611.9520346131103-0.0920346131102896
11311.8711.9167777793567-0.0467777793567006
11411.9411.91583986334300.0241601366570414
11511.8611.9723308784422-0.112330878442163
11611.9211.91586766888560.00413233111438949
11711.8311.9523638963778-0.122363896377792
11811.9111.88349619420650.0265038057935403
11911.9311.9342442595087-0.00424425950869356
12011.9911.96033201080380.0296679891962022
12111.9612.0145496983228-0.0545496983228375
12212.1211.99962288151600.120377118483965
12311.8512.1285784803860-0.278578480385983
12412.0111.92923098186550.0807690181344665
12512.112.01924685169450.0807531483054973
12612.2112.11226183059750.0977381694025485
12712.3112.22245678385390.0875432161460559
12812.3112.3277927440258-0.0177927440257886
12912.3912.34852669327940.0414733067205599
13012.3512.4180343954074-0.068034395407432
13112.4112.39774197261280.0122580273872064
13212.5112.44188884999620.0681111500037979

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 9.28 & 9.32 & -0.0399999999999991 \tabularnewline
4 & 9.31 & 9.31663361415677 & -0.00663361415677244 \tabularnewline
5 & 9.27 & 9.33960828797938 & -0.0696082879793831 \tabularnewline
6 & 9.27 & 9.3098046240713 & -0.0398046240712997 \tabularnewline
7 & 9.28 & 9.30226587547783 & -0.022265875477828 \tabularnewline
8 & 9.25 & 9.3078726969698 & -0.0578726969697936 \tabularnewline
9 & 9.32 & 9.282947320686 & 0.0370526793140051 \tabularnewline
10 & 9.33 & 9.3350464527953 & -0.00504645279530003 \tabularnewline
11 & 9.31 & 9.35341009795203 & -0.0434100979520338 \tabularnewline
12 & 9.3 & 9.3395841268297 & -0.0395841268296913 \tabularnewline
13 & 9.29 & 9.32733061107319 & -0.0373306110731892 \tabularnewline
14 & 9.33 & 9.31548056461478 & 0.0145194353852176 \tabularnewline
15 & 9.35 & 9.34548945867752 & 0.00451054132247819 \tabularnewline
16 & 9.35 & 9.36769085151072 & -0.0176908515107250 \tabularnewline
17 & 9.37 & 9.37154096270876 & -0.00154096270875748 \tabularnewline
18 & 9.37 & 9.3882028645585 & -0.0182028645585071 \tabularnewline
19 & 9.35 & 9.39090860878503 & -0.0409086087850277 \tabularnewline
20 & 9.33 & 9.37399524661972 & -0.0439952466197244 \tabularnewline
21 & 9.34 & 9.35298141547763 & -0.0129814154776309 \tabularnewline
22 & 9.37 & 9.3561972317917 & 0.0138027682082935 \tabularnewline
23 & 9.33 & 9.38127118070931 & -0.0512711807093105 \tabularnewline
24 & 9.31 & 9.3525778530357 & -0.0425778530356951 \tabularnewline
25 & 9.26 & 9.32922394759101 & -0.0692239475910146 \tabularnewline
26 & 9.27 & 9.28205496925066 & -0.0120549692506593 \tabularnewline
27 & 9.29 & 9.27999228151791 & 0.0100077184820861 \tabularnewline
28 & 9.27 & 9.29588379757039 & -0.0258837975703887 \tabularnewline
29 & 9.29 & 9.28220930539741 & 0.00779069460258519 \tabularnewline
30 & 9.31 & 9.2956593581516 & 0.0143406418483938 \tabularnewline
31 & 9.33 & 9.31486367295308 & 0.0151363270469229 \tabularnewline
32 & 9.35 & 9.33526656228545 & 0.0147334377145487 \tabularnewline
33 & 9.34 & 9.35589789937695 & -0.0158978993769541 \tabularnewline
34 & 9.35 & 9.35152730685384 & -0.00152730685383595 \tabularnewline
35 & 9.38 & 9.35855115745453 & 0.0214488425454693 \tabularnewline
36 & 9.43 & 9.3846838225396 & 0.0453161774604087 \tabularnewline
37 & 9.47 & 9.43152560751611 & 0.0384743924838880 \tabularnewline
38 & 9.5 & 9.47435035571448 & 0.0256496442855205 \tabularnewline
39 & 9.55 & 9.5079121506461 & 0.0420878493538925 \tabularnewline
40 & 9.58 & 9.55614265750597 & 0.0238573424940292 \tabularnewline
41 & 9.61 & 9.59073571221689 & 0.0192642877831144 \tabularnewline
42 & 9.57 & 9.62238720527064 & -0.0523872052706356 \tabularnewline
43 & 9.61 & 9.5949883917146 & 0.0150116082853984 \tabularnewline
44 & 9.65 & 9.6218571246591 & 0.0281428753408957 \tabularnewline
45 & 9.62 & 9.66023930097633 & -0.0402393009763298 \tabularnewline
46 & 9.63 & 9.64262943701015 & -0.0126294370101476 \tabularnewline
47 & 9.62 & 9.64654984953122 & -0.0265498495312162 \tabularnewline
48 & 9.63 & 9.63838739041673 & -0.00838739041673264 \tabularnewline
49 & 9.65 & 9.64438512326698 & 0.00561487673301997 \tabularnewline
50 & 9.72 & 9.66175016769455 & 0.0582498323054477 \tabularnewline
51 & 9.75 & 9.72323057948552 & 0.0267694205144799 \tabularnewline
52 & 9.77 & 9.76062377758323 & 0.0093762224167655 \tabularnewline
53 & 9.78 & 9.78450665929435 & -0.0045066592943499 \tabularnewline
54 & 9.82 & 9.79715869524713 & 0.0228413047528733 \tabularnewline
55 & 9.84 & 9.83245521964093 & 0.00754478035907091 \tabularnewline
56 & 9.9 & 9.85584388593079 & 0.0441561140692137 \tabularnewline
57 & 9.94 & 9.91005363818748 & 0.0299463618125184 \tabularnewline
58 & 9.96 & 9.95405702716777 & 0.00594297283223533 \tabularnewline
59 & 10.03 & 9.97915463191625 & 0.0508453680837455 \tabularnewline
60 & 10.03 & 10.0419296508618 & -0.0119296508617524 \tabularnewline
61 & 10.12 & 10.054236602095 & 0.065763397905009 \tabularnewline
62 & 10.12 & 10.1309070332374 & -0.0109070332374390 \tabularnewline
63 & 10.05 & 10.1460747847545 & -0.09607478475451 \tabularnewline
64 & 10.14 & 10.0897922480221 & 0.0502077519779505 \tabularnewline
65 & 10.17 & 10.1519495121428 & 0.0180504878572290 \tabularnewline
66 & 10.2 & 10.1891550236619 & 0.0108449763380918 \tabularnewline
67 & 10.2 & 10.2210231960517 & -0.0210231960516882 \tabularnewline
68 & 10.35 & 10.2267126973630 & 0.123287302637022 \tabularnewline
69 & 10.43 & 10.3519961157767 & 0.0780038842232642 \tabularnewline
70 & 10.52 & 10.4441040353925 & 0.0758959646074704 \tabularnewline
71 & 10.57 & 10.5373628326262 & 0.0326371673737729 \tabularnewline
72 & 10.57 & 10.5973674893702 & -0.0273674893702189 \tabularnewline
73 & 10.57 & 10.6085359129155 & -0.0385359129154814 \tabularnewline
74 & 10.65 & 10.6093673951757 & 0.0406326048243368 \tabularnewline
75 & 10.57 & 10.6748008315678 & -0.104800831567776 \tabularnewline
76 & 10.61 & 10.6204349905888 & -0.0104349905887720 \tabularnewline
77 & 10.63 & 10.6408766928057 & -0.0108766928057378 \tabularnewline
78 & 10.71 & 10.6605607632905 & 0.0494392367095315 \tabularnewline
79 & 10.72 & 10.7301522929775 & -0.0101522929774944 \tabularnewline
80 & 10.77 & 10.7518788503979 & 0.0181211496021429 \tabularnewline
81 & 10.79 & 10.7968113345469 & -0.00681133454688698 \tabularnewline
82 & 10.82 & 10.8216219897395 & -0.00162198973949046 \tabularnewline
83 & 10.9 & 10.8505073526289 & 0.0494926473710606 \tabularnewline
84 & 10.83 & 10.9219699896770 & -0.0919699896770165 \tabularnewline
85 & 10.92 & 10.8772760725125 & 0.0427239274874882 \tabularnewline
86 & 10.91 & 10.9415082891165 & -0.0315082891165481 \tabularnewline
87 & 10.88 & 10.9454124102493 & -0.0654124102493316 \tabularnewline
88 & 10.87 & 10.9198599541075 & -0.0498599541075304 \tabularnewline
89 & 11 & 10.9048411195691 & 0.0951588804309438 \tabularnewline
90 & 10.99 & 11.0089315766759 & -0.0189315766759321 \tabularnewline
91 & 11.03 & 11.0214014072707 & 0.00859859272929064 \tabularnewline
92 & 11.04 & 11.0561297254907 & -0.0161297254907353 \tabularnewline
93 & 10.99 & 11.0705513701330 & -0.0805513701329836 \tabularnewline
94 & 10.9 & 11.0306335070855 & -0.130633507085461 \tabularnewline
95 & 11 & 10.9459349167193 & 0.0540650832807472 \tabularnewline
96 & 10.99 & 11.0104323529006 & -0.0204323529006025 \tabularnewline
97 & 10.92 & 11.0148034358867 & -0.0948034358867478 \tabularnewline
98 & 10.98 & 10.956375121183 & 0.0236248788170048 \tabularnewline
99 & 11.15 & 10.9931991553461 & 0.156800844653912 \tabularnewline
100 & 11.19 & 11.1419943153488 & 0.0480056846512067 \tabularnewline
101 & 11.33 & 11.2058849598158 & 0.124115040184229 \tabularnewline
102 & 11.38 & 11.3350533688995 & 0.0449466311004816 \tabularnewline
103 & 11.4 & 11.4028116585140 & -0.0028116585140463 \tabularnewline
104 & 11.45 & 11.4324082317869 & 0.0175917682130962 \tabularnewline
105 & 11.56 & 11.4789196571576 & 0.0810803428423856 \tabularnewline
106 & 11.61 & 11.5790467889536 & 0.0309532110463522 \tabularnewline
107 & 11.82 & 11.6403838483879 & 0.179616151612080 \tabularnewline
108 & 11.77 & 11.8268839592059 & -0.056883959205857 \tabularnewline
109 & 11.85 & 11.8228041535748 & 0.0271958464252169 \tabularnewline
110 & 11.82 & 11.8867387947487 & -0.0667387947487281 \tabularnewline
111 & 11.92 & 11.8733312403746 & 0.0466687596253887 \tabularnewline
112 & 11.86 & 11.9520346131103 & -0.0920346131102896 \tabularnewline
113 & 11.87 & 11.9167777793567 & -0.0467777793567006 \tabularnewline
114 & 11.94 & 11.9158398633430 & 0.0241601366570414 \tabularnewline
115 & 11.86 & 11.9723308784422 & -0.112330878442163 \tabularnewline
116 & 11.92 & 11.9158676688856 & 0.00413233111438949 \tabularnewline
117 & 11.83 & 11.9523638963778 & -0.122363896377792 \tabularnewline
118 & 11.91 & 11.8834961942065 & 0.0265038057935403 \tabularnewline
119 & 11.93 & 11.9342442595087 & -0.00424425950869356 \tabularnewline
120 & 11.99 & 11.9603320108038 & 0.0296679891962022 \tabularnewline
121 & 11.96 & 12.0145496983228 & -0.0545496983228375 \tabularnewline
122 & 12.12 & 11.9996228815160 & 0.120377118483965 \tabularnewline
123 & 11.85 & 12.1285784803860 & -0.278578480385983 \tabularnewline
124 & 12.01 & 11.9292309818655 & 0.0807690181344665 \tabularnewline
125 & 12.1 & 12.0192468516945 & 0.0807531483054973 \tabularnewline
126 & 12.21 & 12.1122618305975 & 0.0977381694025485 \tabularnewline
127 & 12.31 & 12.2224567838539 & 0.0875432161460559 \tabularnewline
128 & 12.31 & 12.3277927440258 & -0.0177927440257886 \tabularnewline
129 & 12.39 & 12.3485266932794 & 0.0414733067205599 \tabularnewline
130 & 12.35 & 12.4180343954074 & -0.068034395407432 \tabularnewline
131 & 12.41 & 12.3977419726128 & 0.0122580273872064 \tabularnewline
132 & 12.51 & 12.4418888499962 & 0.0681111500037979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42336&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]9.28[/C][C]9.32[/C][C]-0.0399999999999991[/C][/ROW]
[ROW][C]4[/C][C]9.31[/C][C]9.31663361415677[/C][C]-0.00663361415677244[/C][/ROW]
[ROW][C]5[/C][C]9.27[/C][C]9.33960828797938[/C][C]-0.0696082879793831[/C][/ROW]
[ROW][C]6[/C][C]9.27[/C][C]9.3098046240713[/C][C]-0.0398046240712997[/C][/ROW]
[ROW][C]7[/C][C]9.28[/C][C]9.30226587547783[/C][C]-0.022265875477828[/C][/ROW]
[ROW][C]8[/C][C]9.25[/C][C]9.3078726969698[/C][C]-0.0578726969697936[/C][/ROW]
[ROW][C]9[/C][C]9.32[/C][C]9.282947320686[/C][C]0.0370526793140051[/C][/ROW]
[ROW][C]10[/C][C]9.33[/C][C]9.3350464527953[/C][C]-0.00504645279530003[/C][/ROW]
[ROW][C]11[/C][C]9.31[/C][C]9.35341009795203[/C][C]-0.0434100979520338[/C][/ROW]
[ROW][C]12[/C][C]9.3[/C][C]9.3395841268297[/C][C]-0.0395841268296913[/C][/ROW]
[ROW][C]13[/C][C]9.29[/C][C]9.32733061107319[/C][C]-0.0373306110731892[/C][/ROW]
[ROW][C]14[/C][C]9.33[/C][C]9.31548056461478[/C][C]0.0145194353852176[/C][/ROW]
[ROW][C]15[/C][C]9.35[/C][C]9.34548945867752[/C][C]0.00451054132247819[/C][/ROW]
[ROW][C]16[/C][C]9.35[/C][C]9.36769085151072[/C][C]-0.0176908515107250[/C][/ROW]
[ROW][C]17[/C][C]9.37[/C][C]9.37154096270876[/C][C]-0.00154096270875748[/C][/ROW]
[ROW][C]18[/C][C]9.37[/C][C]9.3882028645585[/C][C]-0.0182028645585071[/C][/ROW]
[ROW][C]19[/C][C]9.35[/C][C]9.39090860878503[/C][C]-0.0409086087850277[/C][/ROW]
[ROW][C]20[/C][C]9.33[/C][C]9.37399524661972[/C][C]-0.0439952466197244[/C][/ROW]
[ROW][C]21[/C][C]9.34[/C][C]9.35298141547763[/C][C]-0.0129814154776309[/C][/ROW]
[ROW][C]22[/C][C]9.37[/C][C]9.3561972317917[/C][C]0.0138027682082935[/C][/ROW]
[ROW][C]23[/C][C]9.33[/C][C]9.38127118070931[/C][C]-0.0512711807093105[/C][/ROW]
[ROW][C]24[/C][C]9.31[/C][C]9.3525778530357[/C][C]-0.0425778530356951[/C][/ROW]
[ROW][C]25[/C][C]9.26[/C][C]9.32922394759101[/C][C]-0.0692239475910146[/C][/ROW]
[ROW][C]26[/C][C]9.27[/C][C]9.28205496925066[/C][C]-0.0120549692506593[/C][/ROW]
[ROW][C]27[/C][C]9.29[/C][C]9.27999228151791[/C][C]0.0100077184820861[/C][/ROW]
[ROW][C]28[/C][C]9.27[/C][C]9.29588379757039[/C][C]-0.0258837975703887[/C][/ROW]
[ROW][C]29[/C][C]9.29[/C][C]9.28220930539741[/C][C]0.00779069460258519[/C][/ROW]
[ROW][C]30[/C][C]9.31[/C][C]9.2956593581516[/C][C]0.0143406418483938[/C][/ROW]
[ROW][C]31[/C][C]9.33[/C][C]9.31486367295308[/C][C]0.0151363270469229[/C][/ROW]
[ROW][C]32[/C][C]9.35[/C][C]9.33526656228545[/C][C]0.0147334377145487[/C][/ROW]
[ROW][C]33[/C][C]9.34[/C][C]9.35589789937695[/C][C]-0.0158978993769541[/C][/ROW]
[ROW][C]34[/C][C]9.35[/C][C]9.35152730685384[/C][C]-0.00152730685383595[/C][/ROW]
[ROW][C]35[/C][C]9.38[/C][C]9.35855115745453[/C][C]0.0214488425454693[/C][/ROW]
[ROW][C]36[/C][C]9.43[/C][C]9.3846838225396[/C][C]0.0453161774604087[/C][/ROW]
[ROW][C]37[/C][C]9.47[/C][C]9.43152560751611[/C][C]0.0384743924838880[/C][/ROW]
[ROW][C]38[/C][C]9.5[/C][C]9.47435035571448[/C][C]0.0256496442855205[/C][/ROW]
[ROW][C]39[/C][C]9.55[/C][C]9.5079121506461[/C][C]0.0420878493538925[/C][/ROW]
[ROW][C]40[/C][C]9.58[/C][C]9.55614265750597[/C][C]0.0238573424940292[/C][/ROW]
[ROW][C]41[/C][C]9.61[/C][C]9.59073571221689[/C][C]0.0192642877831144[/C][/ROW]
[ROW][C]42[/C][C]9.57[/C][C]9.62238720527064[/C][C]-0.0523872052706356[/C][/ROW]
[ROW][C]43[/C][C]9.61[/C][C]9.5949883917146[/C][C]0.0150116082853984[/C][/ROW]
[ROW][C]44[/C][C]9.65[/C][C]9.6218571246591[/C][C]0.0281428753408957[/C][/ROW]
[ROW][C]45[/C][C]9.62[/C][C]9.66023930097633[/C][C]-0.0402393009763298[/C][/ROW]
[ROW][C]46[/C][C]9.63[/C][C]9.64262943701015[/C][C]-0.0126294370101476[/C][/ROW]
[ROW][C]47[/C][C]9.62[/C][C]9.64654984953122[/C][C]-0.0265498495312162[/C][/ROW]
[ROW][C]48[/C][C]9.63[/C][C]9.63838739041673[/C][C]-0.00838739041673264[/C][/ROW]
[ROW][C]49[/C][C]9.65[/C][C]9.64438512326698[/C][C]0.00561487673301997[/C][/ROW]
[ROW][C]50[/C][C]9.72[/C][C]9.66175016769455[/C][C]0.0582498323054477[/C][/ROW]
[ROW][C]51[/C][C]9.75[/C][C]9.72323057948552[/C][C]0.0267694205144799[/C][/ROW]
[ROW][C]52[/C][C]9.77[/C][C]9.76062377758323[/C][C]0.0093762224167655[/C][/ROW]
[ROW][C]53[/C][C]9.78[/C][C]9.78450665929435[/C][C]-0.0045066592943499[/C][/ROW]
[ROW][C]54[/C][C]9.82[/C][C]9.79715869524713[/C][C]0.0228413047528733[/C][/ROW]
[ROW][C]55[/C][C]9.84[/C][C]9.83245521964093[/C][C]0.00754478035907091[/C][/ROW]
[ROW][C]56[/C][C]9.9[/C][C]9.85584388593079[/C][C]0.0441561140692137[/C][/ROW]
[ROW][C]57[/C][C]9.94[/C][C]9.91005363818748[/C][C]0.0299463618125184[/C][/ROW]
[ROW][C]58[/C][C]9.96[/C][C]9.95405702716777[/C][C]0.00594297283223533[/C][/ROW]
[ROW][C]59[/C][C]10.03[/C][C]9.97915463191625[/C][C]0.0508453680837455[/C][/ROW]
[ROW][C]60[/C][C]10.03[/C][C]10.0419296508618[/C][C]-0.0119296508617524[/C][/ROW]
[ROW][C]61[/C][C]10.12[/C][C]10.054236602095[/C][C]0.065763397905009[/C][/ROW]
[ROW][C]62[/C][C]10.12[/C][C]10.1309070332374[/C][C]-0.0109070332374390[/C][/ROW]
[ROW][C]63[/C][C]10.05[/C][C]10.1460747847545[/C][C]-0.09607478475451[/C][/ROW]
[ROW][C]64[/C][C]10.14[/C][C]10.0897922480221[/C][C]0.0502077519779505[/C][/ROW]
[ROW][C]65[/C][C]10.17[/C][C]10.1519495121428[/C][C]0.0180504878572290[/C][/ROW]
[ROW][C]66[/C][C]10.2[/C][C]10.1891550236619[/C][C]0.0108449763380918[/C][/ROW]
[ROW][C]67[/C][C]10.2[/C][C]10.2210231960517[/C][C]-0.0210231960516882[/C][/ROW]
[ROW][C]68[/C][C]10.35[/C][C]10.2267126973630[/C][C]0.123287302637022[/C][/ROW]
[ROW][C]69[/C][C]10.43[/C][C]10.3519961157767[/C][C]0.0780038842232642[/C][/ROW]
[ROW][C]70[/C][C]10.52[/C][C]10.4441040353925[/C][C]0.0758959646074704[/C][/ROW]
[ROW][C]71[/C][C]10.57[/C][C]10.5373628326262[/C][C]0.0326371673737729[/C][/ROW]
[ROW][C]72[/C][C]10.57[/C][C]10.5973674893702[/C][C]-0.0273674893702189[/C][/ROW]
[ROW][C]73[/C][C]10.57[/C][C]10.6085359129155[/C][C]-0.0385359129154814[/C][/ROW]
[ROW][C]74[/C][C]10.65[/C][C]10.6093673951757[/C][C]0.0406326048243368[/C][/ROW]
[ROW][C]75[/C][C]10.57[/C][C]10.6748008315678[/C][C]-0.104800831567776[/C][/ROW]
[ROW][C]76[/C][C]10.61[/C][C]10.6204349905888[/C][C]-0.0104349905887720[/C][/ROW]
[ROW][C]77[/C][C]10.63[/C][C]10.6408766928057[/C][C]-0.0108766928057378[/C][/ROW]
[ROW][C]78[/C][C]10.71[/C][C]10.6605607632905[/C][C]0.0494392367095315[/C][/ROW]
[ROW][C]79[/C][C]10.72[/C][C]10.7301522929775[/C][C]-0.0101522929774944[/C][/ROW]
[ROW][C]80[/C][C]10.77[/C][C]10.7518788503979[/C][C]0.0181211496021429[/C][/ROW]
[ROW][C]81[/C][C]10.79[/C][C]10.7968113345469[/C][C]-0.00681133454688698[/C][/ROW]
[ROW][C]82[/C][C]10.82[/C][C]10.8216219897395[/C][C]-0.00162198973949046[/C][/ROW]
[ROW][C]83[/C][C]10.9[/C][C]10.8505073526289[/C][C]0.0494926473710606[/C][/ROW]
[ROW][C]84[/C][C]10.83[/C][C]10.9219699896770[/C][C]-0.0919699896770165[/C][/ROW]
[ROW][C]85[/C][C]10.92[/C][C]10.8772760725125[/C][C]0.0427239274874882[/C][/ROW]
[ROW][C]86[/C][C]10.91[/C][C]10.9415082891165[/C][C]-0.0315082891165481[/C][/ROW]
[ROW][C]87[/C][C]10.88[/C][C]10.9454124102493[/C][C]-0.0654124102493316[/C][/ROW]
[ROW][C]88[/C][C]10.87[/C][C]10.9198599541075[/C][C]-0.0498599541075304[/C][/ROW]
[ROW][C]89[/C][C]11[/C][C]10.9048411195691[/C][C]0.0951588804309438[/C][/ROW]
[ROW][C]90[/C][C]10.99[/C][C]11.0089315766759[/C][C]-0.0189315766759321[/C][/ROW]
[ROW][C]91[/C][C]11.03[/C][C]11.0214014072707[/C][C]0.00859859272929064[/C][/ROW]
[ROW][C]92[/C][C]11.04[/C][C]11.0561297254907[/C][C]-0.0161297254907353[/C][/ROW]
[ROW][C]93[/C][C]10.99[/C][C]11.0705513701330[/C][C]-0.0805513701329836[/C][/ROW]
[ROW][C]94[/C][C]10.9[/C][C]11.0306335070855[/C][C]-0.130633507085461[/C][/ROW]
[ROW][C]95[/C][C]11[/C][C]10.9459349167193[/C][C]0.0540650832807472[/C][/ROW]
[ROW][C]96[/C][C]10.99[/C][C]11.0104323529006[/C][C]-0.0204323529006025[/C][/ROW]
[ROW][C]97[/C][C]10.92[/C][C]11.0148034358867[/C][C]-0.0948034358867478[/C][/ROW]
[ROW][C]98[/C][C]10.98[/C][C]10.956375121183[/C][C]0.0236248788170048[/C][/ROW]
[ROW][C]99[/C][C]11.15[/C][C]10.9931991553461[/C][C]0.156800844653912[/C][/ROW]
[ROW][C]100[/C][C]11.19[/C][C]11.1419943153488[/C][C]0.0480056846512067[/C][/ROW]
[ROW][C]101[/C][C]11.33[/C][C]11.2058849598158[/C][C]0.124115040184229[/C][/ROW]
[ROW][C]102[/C][C]11.38[/C][C]11.3350533688995[/C][C]0.0449466311004816[/C][/ROW]
[ROW][C]103[/C][C]11.4[/C][C]11.4028116585140[/C][C]-0.0028116585140463[/C][/ROW]
[ROW][C]104[/C][C]11.45[/C][C]11.4324082317869[/C][C]0.0175917682130962[/C][/ROW]
[ROW][C]105[/C][C]11.56[/C][C]11.4789196571576[/C][C]0.0810803428423856[/C][/ROW]
[ROW][C]106[/C][C]11.61[/C][C]11.5790467889536[/C][C]0.0309532110463522[/C][/ROW]
[ROW][C]107[/C][C]11.82[/C][C]11.6403838483879[/C][C]0.179616151612080[/C][/ROW]
[ROW][C]108[/C][C]11.77[/C][C]11.8268839592059[/C][C]-0.056883959205857[/C][/ROW]
[ROW][C]109[/C][C]11.85[/C][C]11.8228041535748[/C][C]0.0271958464252169[/C][/ROW]
[ROW][C]110[/C][C]11.82[/C][C]11.8867387947487[/C][C]-0.0667387947487281[/C][/ROW]
[ROW][C]111[/C][C]11.92[/C][C]11.8733312403746[/C][C]0.0466687596253887[/C][/ROW]
[ROW][C]112[/C][C]11.86[/C][C]11.9520346131103[/C][C]-0.0920346131102896[/C][/ROW]
[ROW][C]113[/C][C]11.87[/C][C]11.9167777793567[/C][C]-0.0467777793567006[/C][/ROW]
[ROW][C]114[/C][C]11.94[/C][C]11.9158398633430[/C][C]0.0241601366570414[/C][/ROW]
[ROW][C]115[/C][C]11.86[/C][C]11.9723308784422[/C][C]-0.112330878442163[/C][/ROW]
[ROW][C]116[/C][C]11.92[/C][C]11.9158676688856[/C][C]0.00413233111438949[/C][/ROW]
[ROW][C]117[/C][C]11.83[/C][C]11.9523638963778[/C][C]-0.122363896377792[/C][/ROW]
[ROW][C]118[/C][C]11.91[/C][C]11.8834961942065[/C][C]0.0265038057935403[/C][/ROW]
[ROW][C]119[/C][C]11.93[/C][C]11.9342442595087[/C][C]-0.00424425950869356[/C][/ROW]
[ROW][C]120[/C][C]11.99[/C][C]11.9603320108038[/C][C]0.0296679891962022[/C][/ROW]
[ROW][C]121[/C][C]11.96[/C][C]12.0145496983228[/C][C]-0.0545496983228375[/C][/ROW]
[ROW][C]122[/C][C]12.12[/C][C]11.9996228815160[/C][C]0.120377118483965[/C][/ROW]
[ROW][C]123[/C][C]11.85[/C][C]12.1285784803860[/C][C]-0.278578480385983[/C][/ROW]
[ROW][C]124[/C][C]12.01[/C][C]11.9292309818655[/C][C]0.0807690181344665[/C][/ROW]
[ROW][C]125[/C][C]12.1[/C][C]12.0192468516945[/C][C]0.0807531483054973[/C][/ROW]
[ROW][C]126[/C][C]12.21[/C][C]12.1122618305975[/C][C]0.0977381694025485[/C][/ROW]
[ROW][C]127[/C][C]12.31[/C][C]12.2224567838539[/C][C]0.0875432161460559[/C][/ROW]
[ROW][C]128[/C][C]12.31[/C][C]12.3277927440258[/C][C]-0.0177927440257886[/C][/ROW]
[ROW][C]129[/C][C]12.39[/C][C]12.3485266932794[/C][C]0.0414733067205599[/C][/ROW]
[ROW][C]130[/C][C]12.35[/C][C]12.4180343954074[/C][C]-0.068034395407432[/C][/ROW]
[ROW][C]131[/C][C]12.41[/C][C]12.3977419726128[/C][C]0.0122580273872064[/C][/ROW]
[ROW][C]132[/C][C]12.51[/C][C]12.4418888499962[/C][C]0.0681111500037979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42336&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42336&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
39.289.32-0.0399999999999991
49.319.31663361415677-0.00663361415677244
59.279.33960828797938-0.0696082879793831
69.279.3098046240713-0.0398046240712997
79.289.30226587547783-0.022265875477828
89.259.3078726969698-0.0578726969697936
99.329.2829473206860.0370526793140051
109.339.3350464527953-0.00504645279530003
119.319.35341009795203-0.0434100979520338
129.39.3395841268297-0.0395841268296913
139.299.32733061107319-0.0373306110731892
149.339.315480564614780.0145194353852176
159.359.345489458677520.00451054132247819
169.359.36769085151072-0.0176908515107250
179.379.37154096270876-0.00154096270875748
189.379.3882028645585-0.0182028645585071
199.359.39090860878503-0.0409086087850277
209.339.37399524661972-0.0439952466197244
219.349.35298141547763-0.0129814154776309
229.379.35619723179170.0138027682082935
239.339.38127118070931-0.0512711807093105
249.319.3525778530357-0.0425778530356951
259.269.32922394759101-0.0692239475910146
269.279.28205496925066-0.0120549692506593
279.299.279992281517910.0100077184820861
289.279.29588379757039-0.0258837975703887
299.299.282209305397410.00779069460258519
309.319.29565935815160.0143406418483938
319.339.314863672953080.0151363270469229
329.359.335266562285450.0147334377145487
339.349.35589789937695-0.0158978993769541
349.359.35152730685384-0.00152730685383595
359.389.358551157454530.0214488425454693
369.439.38468382253960.0453161774604087
379.479.431525607516110.0384743924838880
389.59.474350355714480.0256496442855205
399.559.50791215064610.0420878493538925
409.589.556142657505970.0238573424940292
419.619.590735712216890.0192642877831144
429.579.62238720527064-0.0523872052706356
439.619.59498839171460.0150116082853984
449.659.62185712465910.0281428753408957
459.629.66023930097633-0.0402393009763298
469.639.64262943701015-0.0126294370101476
479.629.64654984953122-0.0265498495312162
489.639.63838739041673-0.00838739041673264
499.659.644385123266980.00561487673301997
509.729.661750167694550.0582498323054477
519.759.723230579485520.0267694205144799
529.779.760623777583230.0093762224167655
539.789.78450665929435-0.0045066592943499
549.829.797158695247130.0228413047528733
559.849.832455219640930.00754478035907091
569.99.855843885930790.0441561140692137
579.949.910053638187480.0299463618125184
589.969.954057027167770.00594297283223533
5910.039.979154631916250.0508453680837455
6010.0310.0419296508618-0.0119296508617524
6110.1210.0542366020950.065763397905009
6210.1210.1309070332374-0.0109070332374390
6310.0510.1460747847545-0.09607478475451
6410.1410.08979224802210.0502077519779505
6510.1710.15194951214280.0180504878572290
6610.210.18915502366190.0108449763380918
6710.210.2210231960517-0.0210231960516882
6810.3510.22671269736300.123287302637022
6910.4310.35199611577670.0780038842232642
7010.5210.44410403539250.0758959646074704
7110.5710.53736283262620.0326371673737729
7210.5710.5973674893702-0.0273674893702189
7310.5710.6085359129155-0.0385359129154814
7410.6510.60936739517570.0406326048243368
7510.5710.6748008315678-0.104800831567776
7610.6110.6204349905888-0.0104349905887720
7710.6310.6408766928057-0.0108766928057378
7810.7110.66056076329050.0494392367095315
7910.7210.7301522929775-0.0101522929774944
8010.7710.75187885039790.0181211496021429
8110.7910.7968113345469-0.00681133454688698
8210.8210.8216219897395-0.00162198973949046
8310.910.85050735262890.0494926473710606
8410.8310.9219699896770-0.0919699896770165
8510.9210.87727607251250.0427239274874882
8610.9110.9415082891165-0.0315082891165481
8710.8810.9454124102493-0.0654124102493316
8810.8710.9198599541075-0.0498599541075304
891110.90484111956910.0951588804309438
9010.9911.0089315766759-0.0189315766759321
9111.0311.02140140727070.00859859272929064
9211.0411.0561297254907-0.0161297254907353
9310.9911.0705513701330-0.0805513701329836
9410.911.0306335070855-0.130633507085461
951110.94593491671930.0540650832807472
9610.9911.0104323529006-0.0204323529006025
9710.9211.0148034358867-0.0948034358867478
9810.9810.9563751211830.0236248788170048
9911.1510.99319915534610.156800844653912
10011.1911.14199431534880.0480056846512067
10111.3311.20588495981580.124115040184229
10211.3811.33505336889950.0449466311004816
10311.411.4028116585140-0.0028116585140463
10411.4511.43240823178690.0175917682130962
10511.5611.47891965715760.0810803428423856
10611.6111.57904678895360.0309532110463522
10711.8211.64038384838790.179616151612080
10811.7711.8268839592059-0.056883959205857
10911.8511.82280415357480.0271958464252169
11011.8211.8867387947487-0.0667387947487281
11111.9211.87333124037460.0466687596253887
11211.8611.9520346131103-0.0920346131102896
11311.8711.9167777793567-0.0467777793567006
11411.9411.91583986334300.0241601366570414
11511.8611.9723308784422-0.112330878442163
11611.9211.91586766888560.00413233111438949
11711.8311.9523638963778-0.122363896377792
11811.9111.88349619420650.0265038057935403
11911.9311.9342442595087-0.00424425950869356
12011.9911.96033201080380.0296679891962022
12111.9612.0145496983228-0.0545496983228375
12212.1211.99962288151600.120377118483965
12311.8512.1285784803860-0.278578480385983
12412.0111.92923098186550.0807690181344665
12512.112.01924685169450.0807531483054973
12612.2112.11226183059750.0977381694025485
12712.3112.22245678385390.0875432161460559
12812.3112.3277927440258-0.0177927440257886
12912.3912.34852669327940.0414733067205599
13012.3512.4180343954074-0.068034395407432
13112.4112.39774197261280.0122580273872064
13212.5112.44188884999620.0681111500037979







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13312.533083321599912.416026164920512.6501404782793
13412.570002481851412.417566271376112.7224386923268
13512.60692164210312.423501745002612.7903415392034
13612.643840802354512.431806186031212.8558754186779
13712.680759962606112.441547970243312.9199719549688
13812.717679122857612.452213354086012.9831448916292
13912.754598283109212.463486810916413.0457097553019
14012.791517443360712.475160143345013.1078747433765
14112.828436603612312.487088760631913.1697844465926
14212.865355763863812.499168332936213.2315431947915
14312.902274924115412.511321327528413.2932285207023
14412.939194084366912.523488768455813.3548994002781

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 12.5330833215999 & 12.4160261649205 & 12.6501404782793 \tabularnewline
134 & 12.5700024818514 & 12.4175662713761 & 12.7224386923268 \tabularnewline
135 & 12.606921642103 & 12.4235017450026 & 12.7903415392034 \tabularnewline
136 & 12.6438408023545 & 12.4318061860312 & 12.8558754186779 \tabularnewline
137 & 12.6807599626061 & 12.4415479702433 & 12.9199719549688 \tabularnewline
138 & 12.7176791228576 & 12.4522133540860 & 12.9831448916292 \tabularnewline
139 & 12.7545982831092 & 12.4634868109164 & 13.0457097553019 \tabularnewline
140 & 12.7915174433607 & 12.4751601433450 & 13.1078747433765 \tabularnewline
141 & 12.8284366036123 & 12.4870887606319 & 13.1697844465926 \tabularnewline
142 & 12.8653557638638 & 12.4991683329362 & 13.2315431947915 \tabularnewline
143 & 12.9022749241154 & 12.5113213275284 & 13.2932285207023 \tabularnewline
144 & 12.9391940843669 & 12.5234887684558 & 13.3548994002781 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42336&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]133[/C][C]12.5330833215999[/C][C]12.4160261649205[/C][C]12.6501404782793[/C][/ROW]
[ROW][C]134[/C][C]12.5700024818514[/C][C]12.4175662713761[/C][C]12.7224386923268[/C][/ROW]
[ROW][C]135[/C][C]12.606921642103[/C][C]12.4235017450026[/C][C]12.7903415392034[/C][/ROW]
[ROW][C]136[/C][C]12.6438408023545[/C][C]12.4318061860312[/C][C]12.8558754186779[/C][/ROW]
[ROW][C]137[/C][C]12.6807599626061[/C][C]12.4415479702433[/C][C]12.9199719549688[/C][/ROW]
[ROW][C]138[/C][C]12.7176791228576[/C][C]12.4522133540860[/C][C]12.9831448916292[/C][/ROW]
[ROW][C]139[/C][C]12.7545982831092[/C][C]12.4634868109164[/C][C]13.0457097553019[/C][/ROW]
[ROW][C]140[/C][C]12.7915174433607[/C][C]12.4751601433450[/C][C]13.1078747433765[/C][/ROW]
[ROW][C]141[/C][C]12.8284366036123[/C][C]12.4870887606319[/C][C]13.1697844465926[/C][/ROW]
[ROW][C]142[/C][C]12.8653557638638[/C][C]12.4991683329362[/C][C]13.2315431947915[/C][/ROW]
[ROW][C]143[/C][C]12.9022749241154[/C][C]12.5113213275284[/C][C]13.2932285207023[/C][/ROW]
[ROW][C]144[/C][C]12.9391940843669[/C][C]12.5234887684558[/C][C]13.3548994002781[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42336&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42336&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
13312.533083321599912.416026164920512.6501404782793
13412.570002481851412.417566271376112.7224386923268
13512.60692164210312.423501745002612.7903415392034
13612.643840802354512.431806186031212.8558754186779
13712.680759962606112.441547970243312.9199719549688
13812.717679122857612.452213354086012.9831448916292
13912.754598283109212.463486810916413.0457097553019
14012.791517443360712.475160143345013.1078747433765
14112.828436603612312.487088760631913.1697844465926
14212.865355763863812.499168332936213.2315431947915
14312.902274924115412.511321327528413.2932285207023
14412.939194084366912.523488768455813.3548994002781



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')