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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 23 May 2013 16:09:13 -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/23/t1369339830vf69poa6gv6bf8m.htm/, Retrieved Mon, 29 Apr 2024 17:03:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210383, Retrieved Mon, 29 Apr 2024 17:03:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2013-05-23 20:09:13] [47b39896cec6a073b4964677b3e89d38] [Current]
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Dataseries X:
109.77
109.77
109.77
109.77
109.77
109.77
109.77
109.77
109.77
109.77
109.77
109.77
109.86
110.12
110.5
113.73
119.84
119.83
113.06
112.45
110.07
110.09
110.72
109.9
109.9
110.06
110.52
116.16
118.54
118.77
113.71
106.98
106.98
106.98
106.98
106.98
106.98
107.43
107.93
111.99
115.4
115.53
115.22
102.75
102.75
102.75
102.75
102.75
102.75
102.87
103.13
108.52
111.6
111.32
108.77
100.05
100.05
100.05
100.05
100.05
100.05
100.07
100.07
109.26
110
110
109.26
99.42
99.42
99.42
99.42
99.42




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210383&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]4 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=210383&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210383&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 time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210383&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]1[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210383&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210383&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3109.77109.770
4109.77109.770
5109.77109.770
6109.77109.770
7109.77109.770
8109.77109.770
9109.77109.770
10109.77109.770
11109.77109.770
12109.77109.770
13109.86109.770.0900000000000034
14110.12109.860.260000000000005
15110.5110.120.379999999999995
16113.73110.53.23
17119.84113.736.11
18119.83119.84-0.0100000000000051
19113.06119.83-6.77
20112.45113.06-0.609999999999999
21110.07112.45-2.38000000000001
22110.09110.070.0200000000000102
23110.72110.090.629999999999995
24109.9110.72-0.819999999999993
25109.9109.90
26110.06109.90.159999999999997
27110.52110.060.459999999999994
28116.16110.525.64
29118.54116.162.38000000000001
30118.77118.540.22999999999999
31113.71118.77-5.06
32106.98113.71-6.72999999999999
33106.98106.980
34106.98106.980
35106.98106.980
36106.98106.980
37106.98106.980
38107.43106.980.450000000000003
39107.93107.430.5
40111.99107.934.05999999999999
41115.4111.993.41000000000001
42115.53115.40.129999999999995
43115.22115.53-0.310000000000002
44102.75115.22-12.47
45102.75102.750
46102.75102.750
47102.75102.750
48102.75102.750
49102.75102.750
50102.87102.750.120000000000005
51103.13102.870.259999999999991
52108.52103.135.39
53111.6108.523.08
54111.32111.6-0.280000000000001
55108.77111.32-2.55
56100.05108.77-8.72
57100.05100.050
58100.05100.050
59100.05100.050
60100.05100.050
61100.05100.050
62100.07100.050.019999999999996
63100.07100.070
64109.26100.079.19000000000001
65110109.260.739999999999995
661101100
67109.26110-0.739999999999995
6899.42109.26-9.84
6999.4299.420
7099.4299.420
7199.4299.420
7299.4299.420

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 109.77 & 109.77 & 0 \tabularnewline
4 & 109.77 & 109.77 & 0 \tabularnewline
5 & 109.77 & 109.77 & 0 \tabularnewline
6 & 109.77 & 109.77 & 0 \tabularnewline
7 & 109.77 & 109.77 & 0 \tabularnewline
8 & 109.77 & 109.77 & 0 \tabularnewline
9 & 109.77 & 109.77 & 0 \tabularnewline
10 & 109.77 & 109.77 & 0 \tabularnewline
11 & 109.77 & 109.77 & 0 \tabularnewline
12 & 109.77 & 109.77 & 0 \tabularnewline
13 & 109.86 & 109.77 & 0.0900000000000034 \tabularnewline
14 & 110.12 & 109.86 & 0.260000000000005 \tabularnewline
15 & 110.5 & 110.12 & 0.379999999999995 \tabularnewline
16 & 113.73 & 110.5 & 3.23 \tabularnewline
17 & 119.84 & 113.73 & 6.11 \tabularnewline
18 & 119.83 & 119.84 & -0.0100000000000051 \tabularnewline
19 & 113.06 & 119.83 & -6.77 \tabularnewline
20 & 112.45 & 113.06 & -0.609999999999999 \tabularnewline
21 & 110.07 & 112.45 & -2.38000000000001 \tabularnewline
22 & 110.09 & 110.07 & 0.0200000000000102 \tabularnewline
23 & 110.72 & 110.09 & 0.629999999999995 \tabularnewline
24 & 109.9 & 110.72 & -0.819999999999993 \tabularnewline
25 & 109.9 & 109.9 & 0 \tabularnewline
26 & 110.06 & 109.9 & 0.159999999999997 \tabularnewline
27 & 110.52 & 110.06 & 0.459999999999994 \tabularnewline
28 & 116.16 & 110.52 & 5.64 \tabularnewline
29 & 118.54 & 116.16 & 2.38000000000001 \tabularnewline
30 & 118.77 & 118.54 & 0.22999999999999 \tabularnewline
31 & 113.71 & 118.77 & -5.06 \tabularnewline
32 & 106.98 & 113.71 & -6.72999999999999 \tabularnewline
33 & 106.98 & 106.98 & 0 \tabularnewline
34 & 106.98 & 106.98 & 0 \tabularnewline
35 & 106.98 & 106.98 & 0 \tabularnewline
36 & 106.98 & 106.98 & 0 \tabularnewline
37 & 106.98 & 106.98 & 0 \tabularnewline
38 & 107.43 & 106.98 & 0.450000000000003 \tabularnewline
39 & 107.93 & 107.43 & 0.5 \tabularnewline
40 & 111.99 & 107.93 & 4.05999999999999 \tabularnewline
41 & 115.4 & 111.99 & 3.41000000000001 \tabularnewline
42 & 115.53 & 115.4 & 0.129999999999995 \tabularnewline
43 & 115.22 & 115.53 & -0.310000000000002 \tabularnewline
44 & 102.75 & 115.22 & -12.47 \tabularnewline
45 & 102.75 & 102.75 & 0 \tabularnewline
46 & 102.75 & 102.75 & 0 \tabularnewline
47 & 102.75 & 102.75 & 0 \tabularnewline
48 & 102.75 & 102.75 & 0 \tabularnewline
49 & 102.75 & 102.75 & 0 \tabularnewline
50 & 102.87 & 102.75 & 0.120000000000005 \tabularnewline
51 & 103.13 & 102.87 & 0.259999999999991 \tabularnewline
52 & 108.52 & 103.13 & 5.39 \tabularnewline
53 & 111.6 & 108.52 & 3.08 \tabularnewline
54 & 111.32 & 111.6 & -0.280000000000001 \tabularnewline
55 & 108.77 & 111.32 & -2.55 \tabularnewline
56 & 100.05 & 108.77 & -8.72 \tabularnewline
57 & 100.05 & 100.05 & 0 \tabularnewline
58 & 100.05 & 100.05 & 0 \tabularnewline
59 & 100.05 & 100.05 & 0 \tabularnewline
60 & 100.05 & 100.05 & 0 \tabularnewline
61 & 100.05 & 100.05 & 0 \tabularnewline
62 & 100.07 & 100.05 & 0.019999999999996 \tabularnewline
63 & 100.07 & 100.07 & 0 \tabularnewline
64 & 109.26 & 100.07 & 9.19000000000001 \tabularnewline
65 & 110 & 109.26 & 0.739999999999995 \tabularnewline
66 & 110 & 110 & 0 \tabularnewline
67 & 109.26 & 110 & -0.739999999999995 \tabularnewline
68 & 99.42 & 109.26 & -9.84 \tabularnewline
69 & 99.42 & 99.42 & 0 \tabularnewline
70 & 99.42 & 99.42 & 0 \tabularnewline
71 & 99.42 & 99.42 & 0 \tabularnewline
72 & 99.42 & 99.42 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210383&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]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]109.77[/C][C]109.77[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]109.86[/C][C]109.77[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]14[/C][C]110.12[/C][C]109.86[/C][C]0.260000000000005[/C][/ROW]
[ROW][C]15[/C][C]110.5[/C][C]110.12[/C][C]0.379999999999995[/C][/ROW]
[ROW][C]16[/C][C]113.73[/C][C]110.5[/C][C]3.23[/C][/ROW]
[ROW][C]17[/C][C]119.84[/C][C]113.73[/C][C]6.11[/C][/ROW]
[ROW][C]18[/C][C]119.83[/C][C]119.84[/C][C]-0.0100000000000051[/C][/ROW]
[ROW][C]19[/C][C]113.06[/C][C]119.83[/C][C]-6.77[/C][/ROW]
[ROW][C]20[/C][C]112.45[/C][C]113.06[/C][C]-0.609999999999999[/C][/ROW]
[ROW][C]21[/C][C]110.07[/C][C]112.45[/C][C]-2.38000000000001[/C][/ROW]
[ROW][C]22[/C][C]110.09[/C][C]110.07[/C][C]0.0200000000000102[/C][/ROW]
[ROW][C]23[/C][C]110.72[/C][C]110.09[/C][C]0.629999999999995[/C][/ROW]
[ROW][C]24[/C][C]109.9[/C][C]110.72[/C][C]-0.819999999999993[/C][/ROW]
[ROW][C]25[/C][C]109.9[/C][C]109.9[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]110.06[/C][C]109.9[/C][C]0.159999999999997[/C][/ROW]
[ROW][C]27[/C][C]110.52[/C][C]110.06[/C][C]0.459999999999994[/C][/ROW]
[ROW][C]28[/C][C]116.16[/C][C]110.52[/C][C]5.64[/C][/ROW]
[ROW][C]29[/C][C]118.54[/C][C]116.16[/C][C]2.38000000000001[/C][/ROW]
[ROW][C]30[/C][C]118.77[/C][C]118.54[/C][C]0.22999999999999[/C][/ROW]
[ROW][C]31[/C][C]113.71[/C][C]118.77[/C][C]-5.06[/C][/ROW]
[ROW][C]32[/C][C]106.98[/C][C]113.71[/C][C]-6.72999999999999[/C][/ROW]
[ROW][C]33[/C][C]106.98[/C][C]106.98[/C][C]0[/C][/ROW]
[ROW][C]34[/C][C]106.98[/C][C]106.98[/C][C]0[/C][/ROW]
[ROW][C]35[/C][C]106.98[/C][C]106.98[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]106.98[/C][C]106.98[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]106.98[/C][C]106.98[/C][C]0[/C][/ROW]
[ROW][C]38[/C][C]107.43[/C][C]106.98[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]39[/C][C]107.93[/C][C]107.43[/C][C]0.5[/C][/ROW]
[ROW][C]40[/C][C]111.99[/C][C]107.93[/C][C]4.05999999999999[/C][/ROW]
[ROW][C]41[/C][C]115.4[/C][C]111.99[/C][C]3.41000000000001[/C][/ROW]
[ROW][C]42[/C][C]115.53[/C][C]115.4[/C][C]0.129999999999995[/C][/ROW]
[ROW][C]43[/C][C]115.22[/C][C]115.53[/C][C]-0.310000000000002[/C][/ROW]
[ROW][C]44[/C][C]102.75[/C][C]115.22[/C][C]-12.47[/C][/ROW]
[ROW][C]45[/C][C]102.75[/C][C]102.75[/C][C]0[/C][/ROW]
[ROW][C]46[/C][C]102.75[/C][C]102.75[/C][C]0[/C][/ROW]
[ROW][C]47[/C][C]102.75[/C][C]102.75[/C][C]0[/C][/ROW]
[ROW][C]48[/C][C]102.75[/C][C]102.75[/C][C]0[/C][/ROW]
[ROW][C]49[/C][C]102.75[/C][C]102.75[/C][C]0[/C][/ROW]
[ROW][C]50[/C][C]102.87[/C][C]102.75[/C][C]0.120000000000005[/C][/ROW]
[ROW][C]51[/C][C]103.13[/C][C]102.87[/C][C]0.259999999999991[/C][/ROW]
[ROW][C]52[/C][C]108.52[/C][C]103.13[/C][C]5.39[/C][/ROW]
[ROW][C]53[/C][C]111.6[/C][C]108.52[/C][C]3.08[/C][/ROW]
[ROW][C]54[/C][C]111.32[/C][C]111.6[/C][C]-0.280000000000001[/C][/ROW]
[ROW][C]55[/C][C]108.77[/C][C]111.32[/C][C]-2.55[/C][/ROW]
[ROW][C]56[/C][C]100.05[/C][C]108.77[/C][C]-8.72[/C][/ROW]
[ROW][C]57[/C][C]100.05[/C][C]100.05[/C][C]0[/C][/ROW]
[ROW][C]58[/C][C]100.05[/C][C]100.05[/C][C]0[/C][/ROW]
[ROW][C]59[/C][C]100.05[/C][C]100.05[/C][C]0[/C][/ROW]
[ROW][C]60[/C][C]100.05[/C][C]100.05[/C][C]0[/C][/ROW]
[ROW][C]61[/C][C]100.05[/C][C]100.05[/C][C]0[/C][/ROW]
[ROW][C]62[/C][C]100.07[/C][C]100.05[/C][C]0.019999999999996[/C][/ROW]
[ROW][C]63[/C][C]100.07[/C][C]100.07[/C][C]0[/C][/ROW]
[ROW][C]64[/C][C]109.26[/C][C]100.07[/C][C]9.19000000000001[/C][/ROW]
[ROW][C]65[/C][C]110[/C][C]109.26[/C][C]0.739999999999995[/C][/ROW]
[ROW][C]66[/C][C]110[/C][C]110[/C][C]0[/C][/ROW]
[ROW][C]67[/C][C]109.26[/C][C]110[/C][C]-0.739999999999995[/C][/ROW]
[ROW][C]68[/C][C]99.42[/C][C]109.26[/C][C]-9.84[/C][/ROW]
[ROW][C]69[/C][C]99.42[/C][C]99.42[/C][C]0[/C][/ROW]
[ROW][C]70[/C][C]99.42[/C][C]99.42[/C][C]0[/C][/ROW]
[ROW][C]71[/C][C]99.42[/C][C]99.42[/C][C]0[/C][/ROW]
[ROW][C]72[/C][C]99.42[/C][C]99.42[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210383&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210383&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
3109.77109.770
4109.77109.770
5109.77109.770
6109.77109.770
7109.77109.770
8109.77109.770
9109.77109.770
10109.77109.770
11109.77109.770
12109.77109.770
13109.86109.770.0900000000000034
14110.12109.860.260000000000005
15110.5110.120.379999999999995
16113.73110.53.23
17119.84113.736.11
18119.83119.84-0.0100000000000051
19113.06119.83-6.77
20112.45113.06-0.609999999999999
21110.07112.45-2.38000000000001
22110.09110.070.0200000000000102
23110.72110.090.629999999999995
24109.9110.72-0.819999999999993
25109.9109.90
26110.06109.90.159999999999997
27110.52110.060.459999999999994
28116.16110.525.64
29118.54116.162.38000000000001
30118.77118.540.22999999999999
31113.71118.77-5.06
32106.98113.71-6.72999999999999
33106.98106.980
34106.98106.980
35106.98106.980
36106.98106.980
37106.98106.980
38107.43106.980.450000000000003
39107.93107.430.5
40111.99107.934.05999999999999
41115.4111.993.41000000000001
42115.53115.40.129999999999995
43115.22115.53-0.310000000000002
44102.75115.22-12.47
45102.75102.750
46102.75102.750
47102.75102.750
48102.75102.750
49102.75102.750
50102.87102.750.120000000000005
51103.13102.870.259999999999991
52108.52103.135.39
53111.6108.523.08
54111.32111.6-0.280000000000001
55108.77111.32-2.55
56100.05108.77-8.72
57100.05100.050
58100.05100.050
59100.05100.050
60100.05100.050
61100.05100.050
62100.07100.050.019999999999996
63100.07100.070
64109.26100.079.19000000000001
65110109.260.739999999999995
661101100
67109.26110-0.739999999999995
6899.42109.26-9.84
6999.4299.420
7099.4299.420
7199.4299.420
7299.4299.420







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7399.4293.1958322018688105.644167798131
7499.4290.6176974853969108.222302514603
7599.4288.6394251388026110.200574861197
7699.4286.9716644037375111.868335596262
7799.4285.5023377000134113.337662299987
7899.4284.1739648211162114.666035178884
7999.4282.9523998878083115.887600112192
8099.4281.8153949707939117.024605029206
8199.4280.7474966056063118.092503394394
8299.4279.7374532188302119.10254678117
8399.4278.7767707813862120.063229218614
8499.4277.8588502776052120.981149722395

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 99.42 & 93.1958322018688 & 105.644167798131 \tabularnewline
74 & 99.42 & 90.6176974853969 & 108.222302514603 \tabularnewline
75 & 99.42 & 88.6394251388026 & 110.200574861197 \tabularnewline
76 & 99.42 & 86.9716644037375 & 111.868335596262 \tabularnewline
77 & 99.42 & 85.5023377000134 & 113.337662299987 \tabularnewline
78 & 99.42 & 84.1739648211162 & 114.666035178884 \tabularnewline
79 & 99.42 & 82.9523998878083 & 115.887600112192 \tabularnewline
80 & 99.42 & 81.8153949707939 & 117.024605029206 \tabularnewline
81 & 99.42 & 80.7474966056063 & 118.092503394394 \tabularnewline
82 & 99.42 & 79.7374532188302 & 119.10254678117 \tabularnewline
83 & 99.42 & 78.7767707813862 & 120.063229218614 \tabularnewline
84 & 99.42 & 77.8588502776052 & 120.981149722395 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210383&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]99.42[/C][C]93.1958322018688[/C][C]105.644167798131[/C][/ROW]
[ROW][C]74[/C][C]99.42[/C][C]90.6176974853969[/C][C]108.222302514603[/C][/ROW]
[ROW][C]75[/C][C]99.42[/C][C]88.6394251388026[/C][C]110.200574861197[/C][/ROW]
[ROW][C]76[/C][C]99.42[/C][C]86.9716644037375[/C][C]111.868335596262[/C][/ROW]
[ROW][C]77[/C][C]99.42[/C][C]85.5023377000134[/C][C]113.337662299987[/C][/ROW]
[ROW][C]78[/C][C]99.42[/C][C]84.1739648211162[/C][C]114.666035178884[/C][/ROW]
[ROW][C]79[/C][C]99.42[/C][C]82.9523998878083[/C][C]115.887600112192[/C][/ROW]
[ROW][C]80[/C][C]99.42[/C][C]81.8153949707939[/C][C]117.024605029206[/C][/ROW]
[ROW][C]81[/C][C]99.42[/C][C]80.7474966056063[/C][C]118.092503394394[/C][/ROW]
[ROW][C]82[/C][C]99.42[/C][C]79.7374532188302[/C][C]119.10254678117[/C][/ROW]
[ROW][C]83[/C][C]99.42[/C][C]78.7767707813862[/C][C]120.063229218614[/C][/ROW]
[ROW][C]84[/C][C]99.42[/C][C]77.8588502776052[/C][C]120.981149722395[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210383&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210383&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
7399.4293.1958322018688105.644167798131
7499.4290.6176974853969108.222302514603
7599.4288.6394251388026110.200574861197
7699.4286.9716644037375111.868335596262
7799.4285.5023377000134113.337662299987
7899.4284.1739648211162114.666035178884
7999.4282.9523998878083115.887600112192
8099.4281.8153949707939117.024605029206
8199.4280.7474966056063118.092503394394
8299.4279.7374532188302119.10254678117
8399.4278.7767707813862120.063229218614
8499.4277.8588502776052120.981149722395



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