Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 16 Jan 2010 02:07:27 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jan/16/t126363305215b807spmz61u2h.htm/, Retrieved Fri, 03 May 2024 12:49:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72219, Retrieved Fri, 03 May 2024 12:49:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact143
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 Oefening 2] [2010-01-16 09:07:27] [712c3abbba27b8add982e356cd7e4c7f] [Current]
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Dataseries X:
5.2100
5.2300
5.2300
5.2300
5.2200
5.2100
5.2300
5.2500
5.2300
5.2300
5.2500
5.2400
5.2600
5.2700
5.2600
5.2900
5.2900
5.2900
5.2900
5.3100
5.3300
5.3400
5.3400
5.3700
5.4100
5.4100
5.3800
5.4400
5.4400
5.4600
5.4600
5.4500
5.4600
5.4600
5.4800
5.4700
5.4800
5.5100
5.5500
5.5800
5.5900
5.6000
5.6000
5.6700
5.7100
5.7000
5.7300
5.7300
5.7200
5.7500
5.7500
5.7700
5.8300
5.8500
5.8700
5.8600
5.8700
5.9300
5.9700
5.9800
5.9900
5.9900
6.0300
6.0600
6.0700
6.0800
6.0800
6.1000
6.1300
6.1400
6.1400
6.1600
6.2000
6.1900
6.3200
6.3200
6.3300
6.3200
6.3300
6.3800
6.4200
6.4600
6.4700
6.4200
6.4800
6.4700
6.4900
6.4800
6.5100
6.5100
6.5200
6.5700
6.5900
6.6200
6.6300
6.6100
6.6400
6.6900
6.6900
6.7500
6.7700
6.8100
6.8100
6.8100
6.8700
6.8600
6.8800
6.8800
6.9200
6.9200
6.9900
7.0200
7.0500
7.0600
7.0600
7.0900
7.1200
7.2300
7.3100
7.4500
7.4900
7.5400
7.5500
7.5800
7.6000
7.6300
7.6400
7.6300
7.6600
7.6400
7.6900
7.7000
7.6800




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72219&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72219&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72219&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







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=72219&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=72219&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72219&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
35.235.25-0.0200000000000005
45.235.25-0.0200000000000005
55.225.25-0.0300000000000011
65.215.24-0.0300000000000002
75.235.230
85.255.25-8.88178419700125e-16
95.235.27-0.04
105.235.25-0.0200000000000005
115.255.25-8.88178419700125e-16
125.245.27-0.0300000000000002
135.265.26-8.88178419700125e-16
145.275.28-0.0100000000000007
155.265.29-0.0300000000000002
165.295.280.00999999999999979
175.295.31-0.0200000000000005
185.295.31-0.0200000000000005
195.295.31-0.0200000000000005
205.315.31-8.88178419700125e-16
215.335.330
225.345.35-0.0100000000000007
235.345.36-0.0200000000000005
245.375.360.00999999999999979
255.415.390.0199999999999996
265.415.43-0.0200000000000005
275.385.43-0.0500000000000007
285.445.40.04
295.445.46-0.0200000000000005
305.465.46-8.88178419700125e-16
315.465.48-0.0200000000000005
325.455.48-0.0300000000000002
335.465.47-0.0100000000000007
345.465.48-0.0200000000000005
355.485.480
365.475.5-0.0300000000000011
375.485.49-0.00999999999999979
385.515.50.0099999999999989
395.555.530.0199999999999996
405.585.570.00999999999999979
415.595.6-0.0100000000000007
425.65.61-0.0100000000000007
435.65.62-0.0200000000000005
445.675.620.0499999999999998
455.715.690.0199999999999996
465.75.73-0.0300000000000002
475.735.720.00999999999999979
485.735.75-0.0200000000000005
495.725.75-0.0300000000000011
505.755.740.00999999999999979
515.755.77-0.0200000000000005
525.775.77-8.88178419700125e-16
535.835.790.04
545.855.85-8.88178419700125e-16
555.875.870
565.865.89-0.0300000000000002
575.875.88-0.0100000000000007
585.935.890.0399999999999991
595.975.950.0199999999999996
605.985.99-0.00999999999999979
615.996-0.0100000000000007
625.996.01-0.0200000000000005
636.036.010.0199999999999996
646.066.050.0099999999999989
656.076.08-0.00999999999999979
666.086.09-0.0100000000000007
676.086.1-0.0200000000000005
686.16.1-8.88178419700125e-16
696.136.120.00999999999999979
706.146.15-0.0100000000000007
716.146.16-0.0200000000000005
726.166.160
736.26.180.0199999999999996
746.196.22-0.0300000000000002
756.326.210.109999999999999
766.326.34-0.0200000000000005
776.336.34-0.0100000000000007
786.326.35-0.0300000000000002
796.336.34-0.0100000000000007
806.386.350.0299999999999994
816.426.40.0199999999999996
826.466.440.0199999999999996
836.476.48-0.0100000000000007
846.426.49-0.0700000000000003
856.486.440.04
866.476.5-0.0300000000000011
876.496.490
886.486.51-0.0300000000000002
896.516.50.0099999999999989
906.516.53-0.0200000000000005
916.526.53-0.0100000000000007
926.576.540.0300000000000002
936.596.59-8.88178419700125e-16
946.626.610.00999999999999979
956.636.64-0.0100000000000007
966.616.65-0.04
976.646.630.0099999999999989
986.696.660.0300000000000002
996.696.71-0.0200000000000005
1006.756.710.0399999999999991
1016.776.77-8.88178419700125e-16
1026.816.790.0199999999999996
1036.816.83-0.0200000000000005
1046.816.83-0.0200000000000005
1056.876.830.04
1066.866.89-0.0300000000000002
1076.886.88-8.88178419700125e-16
1086.886.9-0.0200000000000005
1096.926.90.0199999999999996
1106.926.94-0.0200000000000005
1116.996.940.0499999999999998
1127.027.010.0099999999999989
1137.057.040.00999999999999979
1147.067.07-0.0100000000000007
1157.067.08-0.0200000000000005
1167.097.080.00999999999999979
1177.127.110.00999999999999979
1187.237.140.0899999999999999
1197.317.250.0599999999999987
1207.457.330.12
1217.497.470.0199999999999996
1227.547.510.0299999999999994
1237.557.56-0.0100000000000007
1247.587.570.00999999999999979
1257.67.6-8.88178419700125e-16
1267.637.620.00999999999999979
1277.647.65-0.0100000000000007
1287.637.66-0.0300000000000002
1297.667.650.00999999999999979
1307.647.68-0.0400000000000009
1317.697.660.0300000000000002
1327.77.71-0.0100000000000007
1337.687.72-0.0400000000000009

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 5.23 & 5.25 & -0.0200000000000005 \tabularnewline
4 & 5.23 & 5.25 & -0.0200000000000005 \tabularnewline
5 & 5.22 & 5.25 & -0.0300000000000011 \tabularnewline
6 & 5.21 & 5.24 & -0.0300000000000002 \tabularnewline
7 & 5.23 & 5.23 & 0 \tabularnewline
8 & 5.25 & 5.25 & -8.88178419700125e-16 \tabularnewline
9 & 5.23 & 5.27 & -0.04 \tabularnewline
10 & 5.23 & 5.25 & -0.0200000000000005 \tabularnewline
11 & 5.25 & 5.25 & -8.88178419700125e-16 \tabularnewline
12 & 5.24 & 5.27 & -0.0300000000000002 \tabularnewline
13 & 5.26 & 5.26 & -8.88178419700125e-16 \tabularnewline
14 & 5.27 & 5.28 & -0.0100000000000007 \tabularnewline
15 & 5.26 & 5.29 & -0.0300000000000002 \tabularnewline
16 & 5.29 & 5.28 & 0.00999999999999979 \tabularnewline
17 & 5.29 & 5.31 & -0.0200000000000005 \tabularnewline
18 & 5.29 & 5.31 & -0.0200000000000005 \tabularnewline
19 & 5.29 & 5.31 & -0.0200000000000005 \tabularnewline
20 & 5.31 & 5.31 & -8.88178419700125e-16 \tabularnewline
21 & 5.33 & 5.33 & 0 \tabularnewline
22 & 5.34 & 5.35 & -0.0100000000000007 \tabularnewline
23 & 5.34 & 5.36 & -0.0200000000000005 \tabularnewline
24 & 5.37 & 5.36 & 0.00999999999999979 \tabularnewline
25 & 5.41 & 5.39 & 0.0199999999999996 \tabularnewline
26 & 5.41 & 5.43 & -0.0200000000000005 \tabularnewline
27 & 5.38 & 5.43 & -0.0500000000000007 \tabularnewline
28 & 5.44 & 5.4 & 0.04 \tabularnewline
29 & 5.44 & 5.46 & -0.0200000000000005 \tabularnewline
30 & 5.46 & 5.46 & -8.88178419700125e-16 \tabularnewline
31 & 5.46 & 5.48 & -0.0200000000000005 \tabularnewline
32 & 5.45 & 5.48 & -0.0300000000000002 \tabularnewline
33 & 5.46 & 5.47 & -0.0100000000000007 \tabularnewline
34 & 5.46 & 5.48 & -0.0200000000000005 \tabularnewline
35 & 5.48 & 5.48 & 0 \tabularnewline
36 & 5.47 & 5.5 & -0.0300000000000011 \tabularnewline
37 & 5.48 & 5.49 & -0.00999999999999979 \tabularnewline
38 & 5.51 & 5.5 & 0.0099999999999989 \tabularnewline
39 & 5.55 & 5.53 & 0.0199999999999996 \tabularnewline
40 & 5.58 & 5.57 & 0.00999999999999979 \tabularnewline
41 & 5.59 & 5.6 & -0.0100000000000007 \tabularnewline
42 & 5.6 & 5.61 & -0.0100000000000007 \tabularnewline
43 & 5.6 & 5.62 & -0.0200000000000005 \tabularnewline
44 & 5.67 & 5.62 & 0.0499999999999998 \tabularnewline
45 & 5.71 & 5.69 & 0.0199999999999996 \tabularnewline
46 & 5.7 & 5.73 & -0.0300000000000002 \tabularnewline
47 & 5.73 & 5.72 & 0.00999999999999979 \tabularnewline
48 & 5.73 & 5.75 & -0.0200000000000005 \tabularnewline
49 & 5.72 & 5.75 & -0.0300000000000011 \tabularnewline
50 & 5.75 & 5.74 & 0.00999999999999979 \tabularnewline
51 & 5.75 & 5.77 & -0.0200000000000005 \tabularnewline
52 & 5.77 & 5.77 & -8.88178419700125e-16 \tabularnewline
53 & 5.83 & 5.79 & 0.04 \tabularnewline
54 & 5.85 & 5.85 & -8.88178419700125e-16 \tabularnewline
55 & 5.87 & 5.87 & 0 \tabularnewline
56 & 5.86 & 5.89 & -0.0300000000000002 \tabularnewline
57 & 5.87 & 5.88 & -0.0100000000000007 \tabularnewline
58 & 5.93 & 5.89 & 0.0399999999999991 \tabularnewline
59 & 5.97 & 5.95 & 0.0199999999999996 \tabularnewline
60 & 5.98 & 5.99 & -0.00999999999999979 \tabularnewline
61 & 5.99 & 6 & -0.0100000000000007 \tabularnewline
62 & 5.99 & 6.01 & -0.0200000000000005 \tabularnewline
63 & 6.03 & 6.01 & 0.0199999999999996 \tabularnewline
64 & 6.06 & 6.05 & 0.0099999999999989 \tabularnewline
65 & 6.07 & 6.08 & -0.00999999999999979 \tabularnewline
66 & 6.08 & 6.09 & -0.0100000000000007 \tabularnewline
67 & 6.08 & 6.1 & -0.0200000000000005 \tabularnewline
68 & 6.1 & 6.1 & -8.88178419700125e-16 \tabularnewline
69 & 6.13 & 6.12 & 0.00999999999999979 \tabularnewline
70 & 6.14 & 6.15 & -0.0100000000000007 \tabularnewline
71 & 6.14 & 6.16 & -0.0200000000000005 \tabularnewline
72 & 6.16 & 6.16 & 0 \tabularnewline
73 & 6.2 & 6.18 & 0.0199999999999996 \tabularnewline
74 & 6.19 & 6.22 & -0.0300000000000002 \tabularnewline
75 & 6.32 & 6.21 & 0.109999999999999 \tabularnewline
76 & 6.32 & 6.34 & -0.0200000000000005 \tabularnewline
77 & 6.33 & 6.34 & -0.0100000000000007 \tabularnewline
78 & 6.32 & 6.35 & -0.0300000000000002 \tabularnewline
79 & 6.33 & 6.34 & -0.0100000000000007 \tabularnewline
80 & 6.38 & 6.35 & 0.0299999999999994 \tabularnewline
81 & 6.42 & 6.4 & 0.0199999999999996 \tabularnewline
82 & 6.46 & 6.44 & 0.0199999999999996 \tabularnewline
83 & 6.47 & 6.48 & -0.0100000000000007 \tabularnewline
84 & 6.42 & 6.49 & -0.0700000000000003 \tabularnewline
85 & 6.48 & 6.44 & 0.04 \tabularnewline
86 & 6.47 & 6.5 & -0.0300000000000011 \tabularnewline
87 & 6.49 & 6.49 & 0 \tabularnewline
88 & 6.48 & 6.51 & -0.0300000000000002 \tabularnewline
89 & 6.51 & 6.5 & 0.0099999999999989 \tabularnewline
90 & 6.51 & 6.53 & -0.0200000000000005 \tabularnewline
91 & 6.52 & 6.53 & -0.0100000000000007 \tabularnewline
92 & 6.57 & 6.54 & 0.0300000000000002 \tabularnewline
93 & 6.59 & 6.59 & -8.88178419700125e-16 \tabularnewline
94 & 6.62 & 6.61 & 0.00999999999999979 \tabularnewline
95 & 6.63 & 6.64 & -0.0100000000000007 \tabularnewline
96 & 6.61 & 6.65 & -0.04 \tabularnewline
97 & 6.64 & 6.63 & 0.0099999999999989 \tabularnewline
98 & 6.69 & 6.66 & 0.0300000000000002 \tabularnewline
99 & 6.69 & 6.71 & -0.0200000000000005 \tabularnewline
100 & 6.75 & 6.71 & 0.0399999999999991 \tabularnewline
101 & 6.77 & 6.77 & -8.88178419700125e-16 \tabularnewline
102 & 6.81 & 6.79 & 0.0199999999999996 \tabularnewline
103 & 6.81 & 6.83 & -0.0200000000000005 \tabularnewline
104 & 6.81 & 6.83 & -0.0200000000000005 \tabularnewline
105 & 6.87 & 6.83 & 0.04 \tabularnewline
106 & 6.86 & 6.89 & -0.0300000000000002 \tabularnewline
107 & 6.88 & 6.88 & -8.88178419700125e-16 \tabularnewline
108 & 6.88 & 6.9 & -0.0200000000000005 \tabularnewline
109 & 6.92 & 6.9 & 0.0199999999999996 \tabularnewline
110 & 6.92 & 6.94 & -0.0200000000000005 \tabularnewline
111 & 6.99 & 6.94 & 0.0499999999999998 \tabularnewline
112 & 7.02 & 7.01 & 0.0099999999999989 \tabularnewline
113 & 7.05 & 7.04 & 0.00999999999999979 \tabularnewline
114 & 7.06 & 7.07 & -0.0100000000000007 \tabularnewline
115 & 7.06 & 7.08 & -0.0200000000000005 \tabularnewline
116 & 7.09 & 7.08 & 0.00999999999999979 \tabularnewline
117 & 7.12 & 7.11 & 0.00999999999999979 \tabularnewline
118 & 7.23 & 7.14 & 0.0899999999999999 \tabularnewline
119 & 7.31 & 7.25 & 0.0599999999999987 \tabularnewline
120 & 7.45 & 7.33 & 0.12 \tabularnewline
121 & 7.49 & 7.47 & 0.0199999999999996 \tabularnewline
122 & 7.54 & 7.51 & 0.0299999999999994 \tabularnewline
123 & 7.55 & 7.56 & -0.0100000000000007 \tabularnewline
124 & 7.58 & 7.57 & 0.00999999999999979 \tabularnewline
125 & 7.6 & 7.6 & -8.88178419700125e-16 \tabularnewline
126 & 7.63 & 7.62 & 0.00999999999999979 \tabularnewline
127 & 7.64 & 7.65 & -0.0100000000000007 \tabularnewline
128 & 7.63 & 7.66 & -0.0300000000000002 \tabularnewline
129 & 7.66 & 7.65 & 0.00999999999999979 \tabularnewline
130 & 7.64 & 7.68 & -0.0400000000000009 \tabularnewline
131 & 7.69 & 7.66 & 0.0300000000000002 \tabularnewline
132 & 7.7 & 7.71 & -0.0100000000000007 \tabularnewline
133 & 7.68 & 7.72 & -0.0400000000000009 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72219&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]5.23[/C][C]5.25[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]4[/C][C]5.23[/C][C]5.25[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]5[/C][C]5.22[/C][C]5.25[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]6[/C][C]5.21[/C][C]5.24[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]7[/C][C]5.23[/C][C]5.23[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]5.25[/C][C]5.25[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]9[/C][C]5.23[/C][C]5.27[/C][C]-0.04[/C][/ROW]
[ROW][C]10[/C][C]5.23[/C][C]5.25[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]11[/C][C]5.25[/C][C]5.25[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]12[/C][C]5.24[/C][C]5.27[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]13[/C][C]5.26[/C][C]5.26[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]14[/C][C]5.27[/C][C]5.28[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]15[/C][C]5.26[/C][C]5.29[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]16[/C][C]5.29[/C][C]5.28[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]17[/C][C]5.29[/C][C]5.31[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]18[/C][C]5.29[/C][C]5.31[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]19[/C][C]5.29[/C][C]5.31[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]20[/C][C]5.31[/C][C]5.31[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]21[/C][C]5.33[/C][C]5.33[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]5.34[/C][C]5.35[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]23[/C][C]5.34[/C][C]5.36[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]24[/C][C]5.37[/C][C]5.36[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]25[/C][C]5.41[/C][C]5.39[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]26[/C][C]5.41[/C][C]5.43[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]27[/C][C]5.38[/C][C]5.43[/C][C]-0.0500000000000007[/C][/ROW]
[ROW][C]28[/C][C]5.44[/C][C]5.4[/C][C]0.04[/C][/ROW]
[ROW][C]29[/C][C]5.44[/C][C]5.46[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]30[/C][C]5.46[/C][C]5.46[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]31[/C][C]5.46[/C][C]5.48[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]32[/C][C]5.45[/C][C]5.48[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]33[/C][C]5.46[/C][C]5.47[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]34[/C][C]5.46[/C][C]5.48[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]35[/C][C]5.48[/C][C]5.48[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]5.47[/C][C]5.5[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]37[/C][C]5.48[/C][C]5.49[/C][C]-0.00999999999999979[/C][/ROW]
[ROW][C]38[/C][C]5.51[/C][C]5.5[/C][C]0.0099999999999989[/C][/ROW]
[ROW][C]39[/C][C]5.55[/C][C]5.53[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]40[/C][C]5.58[/C][C]5.57[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]41[/C][C]5.59[/C][C]5.6[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]42[/C][C]5.6[/C][C]5.61[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]43[/C][C]5.6[/C][C]5.62[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]44[/C][C]5.67[/C][C]5.62[/C][C]0.0499999999999998[/C][/ROW]
[ROW][C]45[/C][C]5.71[/C][C]5.69[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]46[/C][C]5.7[/C][C]5.73[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]47[/C][C]5.73[/C][C]5.72[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]48[/C][C]5.73[/C][C]5.75[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]49[/C][C]5.72[/C][C]5.75[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]50[/C][C]5.75[/C][C]5.74[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]51[/C][C]5.75[/C][C]5.77[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]52[/C][C]5.77[/C][C]5.77[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]53[/C][C]5.83[/C][C]5.79[/C][C]0.04[/C][/ROW]
[ROW][C]54[/C][C]5.85[/C][C]5.85[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]55[/C][C]5.87[/C][C]5.87[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]5.86[/C][C]5.89[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]57[/C][C]5.87[/C][C]5.88[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]58[/C][C]5.93[/C][C]5.89[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]59[/C][C]5.97[/C][C]5.95[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]60[/C][C]5.98[/C][C]5.99[/C][C]-0.00999999999999979[/C][/ROW]
[ROW][C]61[/C][C]5.99[/C][C]6[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]62[/C][C]5.99[/C][C]6.01[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]63[/C][C]6.03[/C][C]6.01[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]64[/C][C]6.06[/C][C]6.05[/C][C]0.0099999999999989[/C][/ROW]
[ROW][C]65[/C][C]6.07[/C][C]6.08[/C][C]-0.00999999999999979[/C][/ROW]
[ROW][C]66[/C][C]6.08[/C][C]6.09[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]67[/C][C]6.08[/C][C]6.1[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]68[/C][C]6.1[/C][C]6.1[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]69[/C][C]6.13[/C][C]6.12[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]70[/C][C]6.14[/C][C]6.15[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]71[/C][C]6.14[/C][C]6.16[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]72[/C][C]6.16[/C][C]6.16[/C][C]0[/C][/ROW]
[ROW][C]73[/C][C]6.2[/C][C]6.18[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]74[/C][C]6.19[/C][C]6.22[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]75[/C][C]6.32[/C][C]6.21[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]76[/C][C]6.32[/C][C]6.34[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]77[/C][C]6.33[/C][C]6.34[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]78[/C][C]6.32[/C][C]6.35[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]79[/C][C]6.33[/C][C]6.34[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]80[/C][C]6.38[/C][C]6.35[/C][C]0.0299999999999994[/C][/ROW]
[ROW][C]81[/C][C]6.42[/C][C]6.4[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]82[/C][C]6.46[/C][C]6.44[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]83[/C][C]6.47[/C][C]6.48[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]84[/C][C]6.42[/C][C]6.49[/C][C]-0.0700000000000003[/C][/ROW]
[ROW][C]85[/C][C]6.48[/C][C]6.44[/C][C]0.04[/C][/ROW]
[ROW][C]86[/C][C]6.47[/C][C]6.5[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]87[/C][C]6.49[/C][C]6.49[/C][C]0[/C][/ROW]
[ROW][C]88[/C][C]6.48[/C][C]6.51[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]89[/C][C]6.51[/C][C]6.5[/C][C]0.0099999999999989[/C][/ROW]
[ROW][C]90[/C][C]6.51[/C][C]6.53[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]91[/C][C]6.52[/C][C]6.53[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]92[/C][C]6.57[/C][C]6.54[/C][C]0.0300000000000002[/C][/ROW]
[ROW][C]93[/C][C]6.59[/C][C]6.59[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]94[/C][C]6.62[/C][C]6.61[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]95[/C][C]6.63[/C][C]6.64[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]96[/C][C]6.61[/C][C]6.65[/C][C]-0.04[/C][/ROW]
[ROW][C]97[/C][C]6.64[/C][C]6.63[/C][C]0.0099999999999989[/C][/ROW]
[ROW][C]98[/C][C]6.69[/C][C]6.66[/C][C]0.0300000000000002[/C][/ROW]
[ROW][C]99[/C][C]6.69[/C][C]6.71[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]100[/C][C]6.75[/C][C]6.71[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]101[/C][C]6.77[/C][C]6.77[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]102[/C][C]6.81[/C][C]6.79[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]103[/C][C]6.81[/C][C]6.83[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]104[/C][C]6.81[/C][C]6.83[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]105[/C][C]6.87[/C][C]6.83[/C][C]0.04[/C][/ROW]
[ROW][C]106[/C][C]6.86[/C][C]6.89[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]107[/C][C]6.88[/C][C]6.88[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]108[/C][C]6.88[/C][C]6.9[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]109[/C][C]6.92[/C][C]6.9[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]110[/C][C]6.92[/C][C]6.94[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]111[/C][C]6.99[/C][C]6.94[/C][C]0.0499999999999998[/C][/ROW]
[ROW][C]112[/C][C]7.02[/C][C]7.01[/C][C]0.0099999999999989[/C][/ROW]
[ROW][C]113[/C][C]7.05[/C][C]7.04[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]114[/C][C]7.06[/C][C]7.07[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]115[/C][C]7.06[/C][C]7.08[/C][C]-0.0200000000000005[/C][/ROW]
[ROW][C]116[/C][C]7.09[/C][C]7.08[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]117[/C][C]7.12[/C][C]7.11[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]118[/C][C]7.23[/C][C]7.14[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]119[/C][C]7.31[/C][C]7.25[/C][C]0.0599999999999987[/C][/ROW]
[ROW][C]120[/C][C]7.45[/C][C]7.33[/C][C]0.12[/C][/ROW]
[ROW][C]121[/C][C]7.49[/C][C]7.47[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]122[/C][C]7.54[/C][C]7.51[/C][C]0.0299999999999994[/C][/ROW]
[ROW][C]123[/C][C]7.55[/C][C]7.56[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]124[/C][C]7.58[/C][C]7.57[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]125[/C][C]7.6[/C][C]7.6[/C][C]-8.88178419700125e-16[/C][/ROW]
[ROW][C]126[/C][C]7.63[/C][C]7.62[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]127[/C][C]7.64[/C][C]7.65[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]128[/C][C]7.63[/C][C]7.66[/C][C]-0.0300000000000002[/C][/ROW]
[ROW][C]129[/C][C]7.66[/C][C]7.65[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]130[/C][C]7.64[/C][C]7.68[/C][C]-0.0400000000000009[/C][/ROW]
[ROW][C]131[/C][C]7.69[/C][C]7.66[/C][C]0.0300000000000002[/C][/ROW]
[ROW][C]132[/C][C]7.7[/C][C]7.71[/C][C]-0.0100000000000007[/C][/ROW]
[ROW][C]133[/C][C]7.68[/C][C]7.72[/C][C]-0.0400000000000009[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72219&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72219&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
35.235.25-0.0200000000000005
45.235.25-0.0200000000000005
55.225.25-0.0300000000000011
65.215.24-0.0300000000000002
75.235.230
85.255.25-8.88178419700125e-16
95.235.27-0.04
105.235.25-0.0200000000000005
115.255.25-8.88178419700125e-16
125.245.27-0.0300000000000002
135.265.26-8.88178419700125e-16
145.275.28-0.0100000000000007
155.265.29-0.0300000000000002
165.295.280.00999999999999979
175.295.31-0.0200000000000005
185.295.31-0.0200000000000005
195.295.31-0.0200000000000005
205.315.31-8.88178419700125e-16
215.335.330
225.345.35-0.0100000000000007
235.345.36-0.0200000000000005
245.375.360.00999999999999979
255.415.390.0199999999999996
265.415.43-0.0200000000000005
275.385.43-0.0500000000000007
285.445.40.04
295.445.46-0.0200000000000005
305.465.46-8.88178419700125e-16
315.465.48-0.0200000000000005
325.455.48-0.0300000000000002
335.465.47-0.0100000000000007
345.465.48-0.0200000000000005
355.485.480
365.475.5-0.0300000000000011
375.485.49-0.00999999999999979
385.515.50.0099999999999989
395.555.530.0199999999999996
405.585.570.00999999999999979
415.595.6-0.0100000000000007
425.65.61-0.0100000000000007
435.65.62-0.0200000000000005
445.675.620.0499999999999998
455.715.690.0199999999999996
465.75.73-0.0300000000000002
475.735.720.00999999999999979
485.735.75-0.0200000000000005
495.725.75-0.0300000000000011
505.755.740.00999999999999979
515.755.77-0.0200000000000005
525.775.77-8.88178419700125e-16
535.835.790.04
545.855.85-8.88178419700125e-16
555.875.870
565.865.89-0.0300000000000002
575.875.88-0.0100000000000007
585.935.890.0399999999999991
595.975.950.0199999999999996
605.985.99-0.00999999999999979
615.996-0.0100000000000007
625.996.01-0.0200000000000005
636.036.010.0199999999999996
646.066.050.0099999999999989
656.076.08-0.00999999999999979
666.086.09-0.0100000000000007
676.086.1-0.0200000000000005
686.16.1-8.88178419700125e-16
696.136.120.00999999999999979
706.146.15-0.0100000000000007
716.146.16-0.0200000000000005
726.166.160
736.26.180.0199999999999996
746.196.22-0.0300000000000002
756.326.210.109999999999999
766.326.34-0.0200000000000005
776.336.34-0.0100000000000007
786.326.35-0.0300000000000002
796.336.34-0.0100000000000007
806.386.350.0299999999999994
816.426.40.0199999999999996
826.466.440.0199999999999996
836.476.48-0.0100000000000007
846.426.49-0.0700000000000003
856.486.440.04
866.476.5-0.0300000000000011
876.496.490
886.486.51-0.0300000000000002
896.516.50.0099999999999989
906.516.53-0.0200000000000005
916.526.53-0.0100000000000007
926.576.540.0300000000000002
936.596.59-8.88178419700125e-16
946.626.610.00999999999999979
956.636.64-0.0100000000000007
966.616.65-0.04
976.646.630.0099999999999989
986.696.660.0300000000000002
996.696.71-0.0200000000000005
1006.756.710.0399999999999991
1016.776.77-8.88178419700125e-16
1026.816.790.0199999999999996
1036.816.83-0.0200000000000005
1046.816.83-0.0200000000000005
1056.876.830.04
1066.866.89-0.0300000000000002
1076.886.88-8.88178419700125e-16
1086.886.9-0.0200000000000005
1096.926.90.0199999999999996
1106.926.94-0.0200000000000005
1116.996.940.0499999999999998
1127.027.010.0099999999999989
1137.057.040.00999999999999979
1147.067.07-0.0100000000000007
1157.067.08-0.0200000000000005
1167.097.080.00999999999999979
1177.127.110.00999999999999979
1187.237.140.0899999999999999
1197.317.250.0599999999999987
1207.457.330.12
1217.497.470.0199999999999996
1227.547.510.0299999999999994
1237.557.56-0.0100000000000007
1247.587.570.00999999999999979
1257.67.6-8.88178419700125e-16
1267.637.620.00999999999999979
1277.647.65-0.0100000000000007
1287.637.66-0.0300000000000002
1297.667.650.00999999999999979
1307.647.68-0.0400000000000009
1317.697.660.0300000000000002
1327.77.71-0.0100000000000007
1337.687.72-0.0400000000000009







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1347.77.644916940634397.75508305936561
1357.727.642100790388157.79789920961185
1367.747.644593342542437.83540665745757
1377.767.649833881268787.87016611873123
1387.787.656830534849847.90316946515017
1397.87.665074611082827.93492538891719
1407.827.674263923465997.96573607653402
1417.847.68420158077637.9957984192237
1427.867.694750821903178.02524917809684
1437.887.70581207191448.05418792808561
1447.97.71731015977948.08268984022061
1457.927.729186685084868.11081331491515

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
134 & 7.7 & 7.64491694063439 & 7.75508305936561 \tabularnewline
135 & 7.72 & 7.64210079038815 & 7.79789920961185 \tabularnewline
136 & 7.74 & 7.64459334254243 & 7.83540665745757 \tabularnewline
137 & 7.76 & 7.64983388126878 & 7.87016611873123 \tabularnewline
138 & 7.78 & 7.65683053484984 & 7.90316946515017 \tabularnewline
139 & 7.8 & 7.66507461108282 & 7.93492538891719 \tabularnewline
140 & 7.82 & 7.67426392346599 & 7.96573607653402 \tabularnewline
141 & 7.84 & 7.6842015807763 & 7.9957984192237 \tabularnewline
142 & 7.86 & 7.69475082190317 & 8.02524917809684 \tabularnewline
143 & 7.88 & 7.7058120719144 & 8.05418792808561 \tabularnewline
144 & 7.9 & 7.7173101597794 & 8.08268984022061 \tabularnewline
145 & 7.92 & 7.72918668508486 & 8.11081331491515 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72219&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]134[/C][C]7.7[/C][C]7.64491694063439[/C][C]7.75508305936561[/C][/ROW]
[ROW][C]135[/C][C]7.72[/C][C]7.64210079038815[/C][C]7.79789920961185[/C][/ROW]
[ROW][C]136[/C][C]7.74[/C][C]7.64459334254243[/C][C]7.83540665745757[/C][/ROW]
[ROW][C]137[/C][C]7.76[/C][C]7.64983388126878[/C][C]7.87016611873123[/C][/ROW]
[ROW][C]138[/C][C]7.78[/C][C]7.65683053484984[/C][C]7.90316946515017[/C][/ROW]
[ROW][C]139[/C][C]7.8[/C][C]7.66507461108282[/C][C]7.93492538891719[/C][/ROW]
[ROW][C]140[/C][C]7.82[/C][C]7.67426392346599[/C][C]7.96573607653402[/C][/ROW]
[ROW][C]141[/C][C]7.84[/C][C]7.6842015807763[/C][C]7.9957984192237[/C][/ROW]
[ROW][C]142[/C][C]7.86[/C][C]7.69475082190317[/C][C]8.02524917809684[/C][/ROW]
[ROW][C]143[/C][C]7.88[/C][C]7.7058120719144[/C][C]8.05418792808561[/C][/ROW]
[ROW][C]144[/C][C]7.9[/C][C]7.7173101597794[/C][C]8.08268984022061[/C][/ROW]
[ROW][C]145[/C][C]7.92[/C][C]7.72918668508486[/C][C]8.11081331491515[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72219&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72219&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
1347.77.644916940634397.75508305936561
1357.727.642100790388157.79789920961185
1367.747.644593342542437.83540665745757
1377.767.649833881268787.87016611873123
1387.787.656830534849847.90316946515017
1397.87.665074611082827.93492538891719
1407.827.674263923465997.96573607653402
1417.847.68420158077637.9957984192237
1427.867.694750821903178.02524917809684
1437.887.70581207191448.05418792808561
1447.97.71731015977948.08268984022061
1457.927.729186685084868.11081331491515



Parameters (Session):
par1 = 12 ; par2 = Double ; 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=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')