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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 14 Dec 2011 11:03:47 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/14/t1323878677e6k3cds5q1q7vu2.htm/, Retrieved Wed, 01 May 2024 17:11:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155100, Retrieved Wed, 01 May 2024 17:11:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact143
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [T10P2D2] [2011-12-14 16:03:47] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,7
0,7
0,68
0,68
0,69
0,69
0,7
0,7
0,7
0,7
0,7
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,71
0,76
0,77
0,78
0,85
0,89
0,9
0,91
0,91
0,91
0,9
0,89
0,88
0,87
0,86
0,87
0,87
0,87
0,85
0,84
0,84
0,84
0,84
0,84
0,82
0,87
0,92
0,92
0,92
0,93
0,94
0,87
0,84
0,83
0,81
0,81
0,81
0,8
0,8
0,8
0,8
0,8
0,8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155100&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155100&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999937777962665
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999937777962665 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155100&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]0.999937777962665[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155100&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
alpha0.999937777962665
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
20.710.710
30.710.710
40.710.710
50.710.710
60.710.710
70.710.710
80.710.710
90.710.710
100.710.710
110.70.71-0.01
120.70.700000622220373-6.22220373336368e-07
130.680.700000000038716-0.0200000000387157
140.680.680001244440749-1.24444074911523e-06
150.690.6800000000774320.00999999992256828
160.690.6899993777796316.22220368562409e-07
170.70.6899999999612840.0100000000387158
180.70.6999993777796246.22220375778859e-07
190.70.6999999999612843.87158083370309e-11
200.70.6999999999999982.44249065417534e-15
210.70.70
220.710.70.01
230.710.7099993777796276.22220373336368e-07
240.710.7099999999612843.87158083370309e-11
250.710.7099999999999982.44249065417534e-15
260.710.710
270.710.710
280.710.710
290.710.710
300.710.710
310.760.710.05
320.770.7599968888981330.0100031111018667
330.780.7699993775860480.0100006224139525
340.850.7799993777408990.0700006222591012
350.890.8499956444186680.0400043555813316
360.90.8899975108474930.0100024891525066
370.910.8999993776247470.0100006223752535
380.910.9099993777409016.22259098803646e-07
390.910.9099999999612823.87182508276851e-11
400.90.909999999999998-0.00999999999999757
410.890.900000622220373-0.0100006222203733
420.880.890000622259089-0.0100006222590892
430.870.880000622259092-0.0100006222590916
440.860.870000622259092-0.0100006222590916
450.870.8600006222590920.00999937774090842
460.870.8699993778183456.22181655085541e-07
470.870.8699999999612873.87133658463767e-11
480.850.869999999999998-0.0199999999999976
490.840.850001244440747-0.0100012444407467
500.840.840000622297805-6.22297804953043e-07
510.840.840000000038721-3.87205822960368e-11
520.840.840000000000002-2.44249065417534e-15
530.840.840
540.820.84-0.02
550.870.8200012444407470.0499987555592534
560.920.8699968889755650.0500031110244351
570.920.9199968887045593.11129544094957e-06
580.920.9199999998064091.93591143116123e-10
590.930.9199999999999880.010000000000012
600.940.9299993777796270.0100006222203732
610.870.939999377740911-0.0699993777409108
620.840.870004355503895-0.0300043555038952
630.830.840001866932128-0.0100018669321283
640.810.830000622336538-0.0200006223365375
650.810.81000124447947-1.24447946969752e-06
660.810.810000000077434-7.7434059164716e-11
670.80.810000000000005-0.0100000000000048
680.80.800000622220373-6.22220373336368e-07
690.80.800000000038716-3.87158083370309e-11
700.80.800000000000002-2.44249065417534e-15
710.80.80
720.80.80

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 0.71 & 0.71 & 0 \tabularnewline
3 & 0.71 & 0.71 & 0 \tabularnewline
4 & 0.71 & 0.71 & 0 \tabularnewline
5 & 0.71 & 0.71 & 0 \tabularnewline
6 & 0.71 & 0.71 & 0 \tabularnewline
7 & 0.71 & 0.71 & 0 \tabularnewline
8 & 0.71 & 0.71 & 0 \tabularnewline
9 & 0.71 & 0.71 & 0 \tabularnewline
10 & 0.71 & 0.71 & 0 \tabularnewline
11 & 0.7 & 0.71 & -0.01 \tabularnewline
12 & 0.7 & 0.700000622220373 & -6.22220373336368e-07 \tabularnewline
13 & 0.68 & 0.700000000038716 & -0.0200000000387157 \tabularnewline
14 & 0.68 & 0.680001244440749 & -1.24444074911523e-06 \tabularnewline
15 & 0.69 & 0.680000000077432 & 0.00999999992256828 \tabularnewline
16 & 0.69 & 0.689999377779631 & 6.22220368562409e-07 \tabularnewline
17 & 0.7 & 0.689999999961284 & 0.0100000000387158 \tabularnewline
18 & 0.7 & 0.699999377779624 & 6.22220375778859e-07 \tabularnewline
19 & 0.7 & 0.699999999961284 & 3.87158083370309e-11 \tabularnewline
20 & 0.7 & 0.699999999999998 & 2.44249065417534e-15 \tabularnewline
21 & 0.7 & 0.7 & 0 \tabularnewline
22 & 0.71 & 0.7 & 0.01 \tabularnewline
23 & 0.71 & 0.709999377779627 & 6.22220373336368e-07 \tabularnewline
24 & 0.71 & 0.709999999961284 & 3.87158083370309e-11 \tabularnewline
25 & 0.71 & 0.709999999999998 & 2.44249065417534e-15 \tabularnewline
26 & 0.71 & 0.71 & 0 \tabularnewline
27 & 0.71 & 0.71 & 0 \tabularnewline
28 & 0.71 & 0.71 & 0 \tabularnewline
29 & 0.71 & 0.71 & 0 \tabularnewline
30 & 0.71 & 0.71 & 0 \tabularnewline
31 & 0.76 & 0.71 & 0.05 \tabularnewline
32 & 0.77 & 0.759996888898133 & 0.0100031111018667 \tabularnewline
33 & 0.78 & 0.769999377586048 & 0.0100006224139525 \tabularnewline
34 & 0.85 & 0.779999377740899 & 0.0700006222591012 \tabularnewline
35 & 0.89 & 0.849995644418668 & 0.0400043555813316 \tabularnewline
36 & 0.9 & 0.889997510847493 & 0.0100024891525066 \tabularnewline
37 & 0.91 & 0.899999377624747 & 0.0100006223752535 \tabularnewline
38 & 0.91 & 0.909999377740901 & 6.22259098803646e-07 \tabularnewline
39 & 0.91 & 0.909999999961282 & 3.87182508276851e-11 \tabularnewline
40 & 0.9 & 0.909999999999998 & -0.00999999999999757 \tabularnewline
41 & 0.89 & 0.900000622220373 & -0.0100006222203733 \tabularnewline
42 & 0.88 & 0.890000622259089 & -0.0100006222590892 \tabularnewline
43 & 0.87 & 0.880000622259092 & -0.0100006222590916 \tabularnewline
44 & 0.86 & 0.870000622259092 & -0.0100006222590916 \tabularnewline
45 & 0.87 & 0.860000622259092 & 0.00999937774090842 \tabularnewline
46 & 0.87 & 0.869999377818345 & 6.22181655085541e-07 \tabularnewline
47 & 0.87 & 0.869999999961287 & 3.87133658463767e-11 \tabularnewline
48 & 0.85 & 0.869999999999998 & -0.0199999999999976 \tabularnewline
49 & 0.84 & 0.850001244440747 & -0.0100012444407467 \tabularnewline
50 & 0.84 & 0.840000622297805 & -6.22297804953043e-07 \tabularnewline
51 & 0.84 & 0.840000000038721 & -3.87205822960368e-11 \tabularnewline
52 & 0.84 & 0.840000000000002 & -2.44249065417534e-15 \tabularnewline
53 & 0.84 & 0.84 & 0 \tabularnewline
54 & 0.82 & 0.84 & -0.02 \tabularnewline
55 & 0.87 & 0.820001244440747 & 0.0499987555592534 \tabularnewline
56 & 0.92 & 0.869996888975565 & 0.0500031110244351 \tabularnewline
57 & 0.92 & 0.919996888704559 & 3.11129544094957e-06 \tabularnewline
58 & 0.92 & 0.919999999806409 & 1.93591143116123e-10 \tabularnewline
59 & 0.93 & 0.919999999999988 & 0.010000000000012 \tabularnewline
60 & 0.94 & 0.929999377779627 & 0.0100006222203732 \tabularnewline
61 & 0.87 & 0.939999377740911 & -0.0699993777409108 \tabularnewline
62 & 0.84 & 0.870004355503895 & -0.0300043555038952 \tabularnewline
63 & 0.83 & 0.840001866932128 & -0.0100018669321283 \tabularnewline
64 & 0.81 & 0.830000622336538 & -0.0200006223365375 \tabularnewline
65 & 0.81 & 0.81000124447947 & -1.24447946969752e-06 \tabularnewline
66 & 0.81 & 0.810000000077434 & -7.7434059164716e-11 \tabularnewline
67 & 0.8 & 0.810000000000005 & -0.0100000000000048 \tabularnewline
68 & 0.8 & 0.800000622220373 & -6.22220373336368e-07 \tabularnewline
69 & 0.8 & 0.800000000038716 & -3.87158083370309e-11 \tabularnewline
70 & 0.8 & 0.800000000000002 & -2.44249065417534e-15 \tabularnewline
71 & 0.8 & 0.8 & 0 \tabularnewline
72 & 0.8 & 0.8 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155100&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.7[/C][C]0.71[/C][C]-0.01[/C][/ROW]
[ROW][C]12[/C][C]0.7[/C][C]0.700000622220373[/C][C]-6.22220373336368e-07[/C][/ROW]
[ROW][C]13[/C][C]0.68[/C][C]0.700000000038716[/C][C]-0.0200000000387157[/C][/ROW]
[ROW][C]14[/C][C]0.68[/C][C]0.680001244440749[/C][C]-1.24444074911523e-06[/C][/ROW]
[ROW][C]15[/C][C]0.69[/C][C]0.680000000077432[/C][C]0.00999999992256828[/C][/ROW]
[ROW][C]16[/C][C]0.69[/C][C]0.689999377779631[/C][C]6.22220368562409e-07[/C][/ROW]
[ROW][C]17[/C][C]0.7[/C][C]0.689999999961284[/C][C]0.0100000000387158[/C][/ROW]
[ROW][C]18[/C][C]0.7[/C][C]0.699999377779624[/C][C]6.22220375778859e-07[/C][/ROW]
[ROW][C]19[/C][C]0.7[/C][C]0.699999999961284[/C][C]3.87158083370309e-11[/C][/ROW]
[ROW][C]20[/C][C]0.7[/C][C]0.699999999999998[/C][C]2.44249065417534e-15[/C][/ROW]
[ROW][C]21[/C][C]0.7[/C][C]0.7[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]0.71[/C][C]0.7[/C][C]0.01[/C][/ROW]
[ROW][C]23[/C][C]0.71[/C][C]0.709999377779627[/C][C]6.22220373336368e-07[/C][/ROW]
[ROW][C]24[/C][C]0.71[/C][C]0.709999999961284[/C][C]3.87158083370309e-11[/C][/ROW]
[ROW][C]25[/C][C]0.71[/C][C]0.709999999999998[/C][C]2.44249065417534e-15[/C][/ROW]
[ROW][C]26[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]27[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]28[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]29[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]30[/C][C]0.71[/C][C]0.71[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]0.76[/C][C]0.71[/C][C]0.05[/C][/ROW]
[ROW][C]32[/C][C]0.77[/C][C]0.759996888898133[/C][C]0.0100031111018667[/C][/ROW]
[ROW][C]33[/C][C]0.78[/C][C]0.769999377586048[/C][C]0.0100006224139525[/C][/ROW]
[ROW][C]34[/C][C]0.85[/C][C]0.779999377740899[/C][C]0.0700006222591012[/C][/ROW]
[ROW][C]35[/C][C]0.89[/C][C]0.849995644418668[/C][C]0.0400043555813316[/C][/ROW]
[ROW][C]36[/C][C]0.9[/C][C]0.889997510847493[/C][C]0.0100024891525066[/C][/ROW]
[ROW][C]37[/C][C]0.91[/C][C]0.899999377624747[/C][C]0.0100006223752535[/C][/ROW]
[ROW][C]38[/C][C]0.91[/C][C]0.909999377740901[/C][C]6.22259098803646e-07[/C][/ROW]
[ROW][C]39[/C][C]0.91[/C][C]0.909999999961282[/C][C]3.87182508276851e-11[/C][/ROW]
[ROW][C]40[/C][C]0.9[/C][C]0.909999999999998[/C][C]-0.00999999999999757[/C][/ROW]
[ROW][C]41[/C][C]0.89[/C][C]0.900000622220373[/C][C]-0.0100006222203733[/C][/ROW]
[ROW][C]42[/C][C]0.88[/C][C]0.890000622259089[/C][C]-0.0100006222590892[/C][/ROW]
[ROW][C]43[/C][C]0.87[/C][C]0.880000622259092[/C][C]-0.0100006222590916[/C][/ROW]
[ROW][C]44[/C][C]0.86[/C][C]0.870000622259092[/C][C]-0.0100006222590916[/C][/ROW]
[ROW][C]45[/C][C]0.87[/C][C]0.860000622259092[/C][C]0.00999937774090842[/C][/ROW]
[ROW][C]46[/C][C]0.87[/C][C]0.869999377818345[/C][C]6.22181655085541e-07[/C][/ROW]
[ROW][C]47[/C][C]0.87[/C][C]0.869999999961287[/C][C]3.87133658463767e-11[/C][/ROW]
[ROW][C]48[/C][C]0.85[/C][C]0.869999999999998[/C][C]-0.0199999999999976[/C][/ROW]
[ROW][C]49[/C][C]0.84[/C][C]0.850001244440747[/C][C]-0.0100012444407467[/C][/ROW]
[ROW][C]50[/C][C]0.84[/C][C]0.840000622297805[/C][C]-6.22297804953043e-07[/C][/ROW]
[ROW][C]51[/C][C]0.84[/C][C]0.840000000038721[/C][C]-3.87205822960368e-11[/C][/ROW]
[ROW][C]52[/C][C]0.84[/C][C]0.840000000000002[/C][C]-2.44249065417534e-15[/C][/ROW]
[ROW][C]53[/C][C]0.84[/C][C]0.84[/C][C]0[/C][/ROW]
[ROW][C]54[/C][C]0.82[/C][C]0.84[/C][C]-0.02[/C][/ROW]
[ROW][C]55[/C][C]0.87[/C][C]0.820001244440747[/C][C]0.0499987555592534[/C][/ROW]
[ROW][C]56[/C][C]0.92[/C][C]0.869996888975565[/C][C]0.0500031110244351[/C][/ROW]
[ROW][C]57[/C][C]0.92[/C][C]0.919996888704559[/C][C]3.11129544094957e-06[/C][/ROW]
[ROW][C]58[/C][C]0.92[/C][C]0.919999999806409[/C][C]1.93591143116123e-10[/C][/ROW]
[ROW][C]59[/C][C]0.93[/C][C]0.919999999999988[/C][C]0.010000000000012[/C][/ROW]
[ROW][C]60[/C][C]0.94[/C][C]0.929999377779627[/C][C]0.0100006222203732[/C][/ROW]
[ROW][C]61[/C][C]0.87[/C][C]0.939999377740911[/C][C]-0.0699993777409108[/C][/ROW]
[ROW][C]62[/C][C]0.84[/C][C]0.870004355503895[/C][C]-0.0300043555038952[/C][/ROW]
[ROW][C]63[/C][C]0.83[/C][C]0.840001866932128[/C][C]-0.0100018669321283[/C][/ROW]
[ROW][C]64[/C][C]0.81[/C][C]0.830000622336538[/C][C]-0.0200006223365375[/C][/ROW]
[ROW][C]65[/C][C]0.81[/C][C]0.81000124447947[/C][C]-1.24447946969752e-06[/C][/ROW]
[ROW][C]66[/C][C]0.81[/C][C]0.810000000077434[/C][C]-7.7434059164716e-11[/C][/ROW]
[ROW][C]67[/C][C]0.8[/C][C]0.810000000000005[/C][C]-0.0100000000000048[/C][/ROW]
[ROW][C]68[/C][C]0.8[/C][C]0.800000622220373[/C][C]-6.22220373336368e-07[/C][/ROW]
[ROW][C]69[/C][C]0.8[/C][C]0.800000000038716[/C][C]-3.87158083370309e-11[/C][/ROW]
[ROW][C]70[/C][C]0.8[/C][C]0.800000000000002[/C][C]-2.44249065417534e-15[/C][/ROW]
[ROW][C]71[/C][C]0.8[/C][C]0.8[/C][C]0[/C][/ROW]
[ROW][C]72[/C][C]0.8[/C][C]0.8[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155100&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155100&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
20.710.710
30.710.710
40.710.710
50.710.710
60.710.710
70.710.710
80.710.710
90.710.710
100.710.710
110.70.71-0.01
120.70.700000622220373-6.22220373336368e-07
130.680.700000000038716-0.0200000000387157
140.680.680001244440749-1.24444074911523e-06
150.690.6800000000774320.00999999992256828
160.690.6899993777796316.22220368562409e-07
170.70.6899999999612840.0100000000387158
180.70.6999993777796246.22220375778859e-07
190.70.6999999999612843.87158083370309e-11
200.70.6999999999999982.44249065417534e-15
210.70.70
220.710.70.01
230.710.7099993777796276.22220373336368e-07
240.710.7099999999612843.87158083370309e-11
250.710.7099999999999982.44249065417534e-15
260.710.710
270.710.710
280.710.710
290.710.710
300.710.710
310.760.710.05
320.770.7599968888981330.0100031111018667
330.780.7699993775860480.0100006224139525
340.850.7799993777408990.0700006222591012
350.890.8499956444186680.0400043555813316
360.90.8899975108474930.0100024891525066
370.910.8999993776247470.0100006223752535
380.910.9099993777409016.22259098803646e-07
390.910.9099999999612823.87182508276851e-11
400.90.909999999999998-0.00999999999999757
410.890.900000622220373-0.0100006222203733
420.880.890000622259089-0.0100006222590892
430.870.880000622259092-0.0100006222590916
440.860.870000622259092-0.0100006222590916
450.870.8600006222590920.00999937774090842
460.870.8699993778183456.22181655085541e-07
470.870.8699999999612873.87133658463767e-11
480.850.869999999999998-0.0199999999999976
490.840.850001244440747-0.0100012444407467
500.840.840000622297805-6.22297804953043e-07
510.840.840000000038721-3.87205822960368e-11
520.840.840000000000002-2.44249065417534e-15
530.840.840
540.820.84-0.02
550.870.8200012444407470.0499987555592534
560.920.8699968889755650.0500031110244351
570.920.9199968887045593.11129544094957e-06
580.920.9199999998064091.93591143116123e-10
590.930.9199999999999880.010000000000012
600.940.9299993777796270.0100006222203732
610.870.939999377740911-0.0699993777409108
620.840.870004355503895-0.0300043555038952
630.830.840001866932128-0.0100018669321283
640.810.830000622336538-0.0200006223365375
650.810.81000124447947-1.24447946969752e-06
660.810.810000000077434-7.7434059164716e-11
670.80.810000000000005-0.0100000000000048
680.80.800000622220373-6.22220373336368e-07
690.80.800000000038716-3.87158083370309e-11
700.80.800000000000002-2.44249065417534e-15
710.80.80
720.80.80







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.80.7643285234674580.835671476532542
740.80.7495544835336220.850445516466378
750.80.7382177531558820.861782246844118
760.80.7286603762369370.871339623763063
770.80.7202401240459640.879759875954036
780.80.7126276147415490.887372385258451
790.80.7056271776447310.894372822355269
800.80.6991113212850570.900888678714943
810.80.6929914891870990.907008510812902
820.80.6872032035918450.912796796408155
830.80.6816977888055740.918302211194426
840.80.6764374285350190.923562571464981

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 0.8 & 0.764328523467458 & 0.835671476532542 \tabularnewline
74 & 0.8 & 0.749554483533622 & 0.850445516466378 \tabularnewline
75 & 0.8 & 0.738217753155882 & 0.861782246844118 \tabularnewline
76 & 0.8 & 0.728660376236937 & 0.871339623763063 \tabularnewline
77 & 0.8 & 0.720240124045964 & 0.879759875954036 \tabularnewline
78 & 0.8 & 0.712627614741549 & 0.887372385258451 \tabularnewline
79 & 0.8 & 0.705627177644731 & 0.894372822355269 \tabularnewline
80 & 0.8 & 0.699111321285057 & 0.900888678714943 \tabularnewline
81 & 0.8 & 0.692991489187099 & 0.907008510812902 \tabularnewline
82 & 0.8 & 0.687203203591845 & 0.912796796408155 \tabularnewline
83 & 0.8 & 0.681697788805574 & 0.918302211194426 \tabularnewline
84 & 0.8 & 0.676437428535019 & 0.923562571464981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155100&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]0.8[/C][C]0.764328523467458[/C][C]0.835671476532542[/C][/ROW]
[ROW][C]74[/C][C]0.8[/C][C]0.749554483533622[/C][C]0.850445516466378[/C][/ROW]
[ROW][C]75[/C][C]0.8[/C][C]0.738217753155882[/C][C]0.861782246844118[/C][/ROW]
[ROW][C]76[/C][C]0.8[/C][C]0.728660376236937[/C][C]0.871339623763063[/C][/ROW]
[ROW][C]77[/C][C]0.8[/C][C]0.720240124045964[/C][C]0.879759875954036[/C][/ROW]
[ROW][C]78[/C][C]0.8[/C][C]0.712627614741549[/C][C]0.887372385258451[/C][/ROW]
[ROW][C]79[/C][C]0.8[/C][C]0.705627177644731[/C][C]0.894372822355269[/C][/ROW]
[ROW][C]80[/C][C]0.8[/C][C]0.699111321285057[/C][C]0.900888678714943[/C][/ROW]
[ROW][C]81[/C][C]0.8[/C][C]0.692991489187099[/C][C]0.907008510812902[/C][/ROW]
[ROW][C]82[/C][C]0.8[/C][C]0.687203203591845[/C][C]0.912796796408155[/C][/ROW]
[ROW][C]83[/C][C]0.8[/C][C]0.681697788805574[/C][C]0.918302211194426[/C][/ROW]
[ROW][C]84[/C][C]0.8[/C][C]0.676437428535019[/C][C]0.923562571464981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155100&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155100&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
730.80.7643285234674580.835671476532542
740.80.7495544835336220.850445516466378
750.80.7382177531558820.861782246844118
760.80.7286603762369370.871339623763063
770.80.7202401240459640.879759875954036
780.80.7126276147415490.887372385258451
790.80.7056271776447310.894372822355269
800.80.6991113212850570.900888678714943
810.80.6929914891870990.907008510812902
820.80.6872032035918450.912796796408155
830.80.6816977888055740.918302211194426
840.80.6764374285350190.923562571464981



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