Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 26 May 2008 03:28:26 -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/2008/May/26/t1211794162x2y1fc7y1o0pbep.htm/, Retrieved Tue, 14 May 2024 10:18:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13255, Retrieved Tue, 14 May 2024 10:18:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact217
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [gaelle.wauters-ex...] [2008-05-26 09:28:26] [1a88f818bfac0ba502c6e25c4c816249] [Current]
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Dataseries X:
9.8
9.7
9.5
9.3
9.1
9
9.5
10
10.2
10.1
10
9.9
10
9.9
9.7
9.5
9.2
9
9.3
9.8
9.8
9.6
9.4
9.3
9.2
9.2
9
8.8
8.7
8.7
9.1
9.7
9.8
9.6
9.4
9.4
9.5
9.4
9.3
9.2
9
8.9
9.2
9.8
9.9
9.6
9.2
9.1
9.1
9.1
8.9
8.7
8.5
8.4
8.4
8.7
8.5
8.1
7.8
7.7
7.4
7.2
7
6.6
6.4
6.4
6.8
7.3
7
7
6.7
6.7
6.3
6.2
6
6.3
6.2
6.1
6.2
6.6
6.6
7.8
7.4
7.4
7.5
7.4
7.4
7
6.9
6.9
7.6
7.7
7.6
8.2
8
8.1
8.3
8.2
8.1
7.7
7.6
7.7
8.2
8.4
8.4
8.6
8.4
8.5
8.7
8.7
8.6
7.4
7.3
7.4
9
9.2
9.2
8.5
8.3
8.3
8.6
8.6
8.5
8.1
8.1
8
8.6
8.7
8.7
8.6
8.4
8.4
8.7
8.7
8.5
8.3
8.3
8.3
8.1
8.2
8.1
8.1
7.9
7.7
8.1
8
7.7
7.8
7.6
7.4
7.3
7.4
7.1
7.3
7.1
7.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13255&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]6 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=13255&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13255&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 time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13255&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]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13255&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13255&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
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
39.59.7-0.199999999999999
49.39.5-0.199999999999999
59.19.3-0.200000000000001
699.1-0.0999999999999996
79.590.5
8109.50.5
910.2100.199999999999999
1010.110.2-0.0999999999999996
111010.1-0.0999999999999996
129.910-0.0999999999999996
13109.90.0999999999999996
149.910-0.0999999999999996
159.79.9-0.200000000000001
169.59.7-0.199999999999999
179.29.5-0.300000000000001
1899.2-0.199999999999999
199.390.300000000000001
209.89.30.5
219.89.80
229.69.8-0.200000000000001
239.49.6-0.199999999999999
249.39.4-0.0999999999999996
259.29.3-0.100000000000001
269.29.20
2799.2-0.199999999999999
288.89-0.199999999999999
298.78.8-0.100000000000001
308.78.70
319.18.70.4
329.79.10.6
339.89.70.100000000000001
349.69.8-0.200000000000001
359.49.6-0.199999999999999
369.49.40
379.59.40.0999999999999996
389.49.5-0.0999999999999996
399.39.4-0.0999999999999996
409.29.3-0.100000000000001
4199.2-0.199999999999999
428.99-0.0999999999999996
439.28.90.299999999999999
449.89.20.600000000000001
459.99.80.0999999999999996
469.69.9-0.300000000000001
479.29.6-0.4
489.19.2-0.0999999999999996
499.19.10
509.19.10
518.99.1-0.199999999999999
528.78.9-0.200000000000001
538.58.7-0.199999999999999
548.48.5-0.0999999999999996
558.48.40
568.78.40.299999999999999
578.58.7-0.199999999999999
588.18.5-0.4
597.88.1-0.3
607.77.8-0.0999999999999996
617.47.7-0.3
627.27.4-0.2
6377.2-0.2
646.67-0.4
656.46.6-0.199999999999999
666.46.40
676.86.40.399999999999999
687.36.80.5
6977.3-0.3
70770
716.77-0.3
726.76.70
736.36.7-0.4
746.26.3-0.0999999999999996
7566.2-0.2
766.360.3
776.26.3-0.0999999999999996
786.16.2-0.100000000000001
796.26.10.100000000000001
806.66.20.399999999999999
816.66.60
827.86.61.2
837.47.8-0.399999999999999
847.47.40
857.57.40.0999999999999996
867.47.5-0.0999999999999996
877.47.40
8877.4-0.4
896.97-0.0999999999999996
906.96.90
917.66.90.700
927.77.60.100000000000001
937.67.7-0.100000000000001
948.27.60.6
9588.2-0.199999999999999
968.180.0999999999999996
978.38.10.200000000000001
988.28.3-0.100000000000001
998.18.2-0.0999999999999996
1007.78.1-0.399999999999999
1017.67.7-0.100000000000001
1027.77.60.100000000000001
1038.27.70.499999999999999
1048.48.20.200000000000001
1058.48.40
1068.68.40.199999999999999
1078.48.6-0.199999999999999
1088.58.40.0999999999999996
1098.78.50.199999999999999
1108.78.70
1118.68.7-0.0999999999999996
1127.48.6-1.2
1137.37.4-0.100000000000001
1147.47.30.100000000000001
11597.41.6
1169.290.199999999999999
1179.29.20
1188.59.2-0.700
1198.38.5-0.199999999999999
1208.38.30
1218.68.30.299999999999999
1228.68.60
1238.58.6-0.0999999999999996
1248.18.5-0.4
1258.18.10
12688.1-0.0999999999999996
1278.680.6
1288.78.60.0999999999999996
1298.78.70
1308.68.7-0.0999999999999996
1318.48.6-0.199999999999999
1328.48.40
1338.78.40.299999999999999
1348.78.70
1358.58.7-0.199999999999999
1368.38.5-0.199999999999999
1378.38.30
1388.38.30
1398.18.3-0.200000000000001
1408.28.10.0999999999999996
1418.18.2-0.0999999999999996
1428.18.10
1437.98.1-0.199999999999999
1447.77.9-0.2
1458.17.70.399999999999999
14688.1-0.0999999999999996
1477.78-0.3
1487.87.70.0999999999999996
1497.67.8-0.2
1507.47.6-0.199999999999999
1517.37.4-0.100000000000001
1527.47.30.100000000000001
1537.17.4-0.300000000000001
1547.37.10.2
1557.17.3-0.2
1567.17.10

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 9.5 & 9.7 & -0.199999999999999 \tabularnewline
4 & 9.3 & 9.5 & -0.199999999999999 \tabularnewline
5 & 9.1 & 9.3 & -0.200000000000001 \tabularnewline
6 & 9 & 9.1 & -0.0999999999999996 \tabularnewline
7 & 9.5 & 9 & 0.5 \tabularnewline
8 & 10 & 9.5 & 0.5 \tabularnewline
9 & 10.2 & 10 & 0.199999999999999 \tabularnewline
10 & 10.1 & 10.2 & -0.0999999999999996 \tabularnewline
11 & 10 & 10.1 & -0.0999999999999996 \tabularnewline
12 & 9.9 & 10 & -0.0999999999999996 \tabularnewline
13 & 10 & 9.9 & 0.0999999999999996 \tabularnewline
14 & 9.9 & 10 & -0.0999999999999996 \tabularnewline
15 & 9.7 & 9.9 & -0.200000000000001 \tabularnewline
16 & 9.5 & 9.7 & -0.199999999999999 \tabularnewline
17 & 9.2 & 9.5 & -0.300000000000001 \tabularnewline
18 & 9 & 9.2 & -0.199999999999999 \tabularnewline
19 & 9.3 & 9 & 0.300000000000001 \tabularnewline
20 & 9.8 & 9.3 & 0.5 \tabularnewline
21 & 9.8 & 9.8 & 0 \tabularnewline
22 & 9.6 & 9.8 & -0.200000000000001 \tabularnewline
23 & 9.4 & 9.6 & -0.199999999999999 \tabularnewline
24 & 9.3 & 9.4 & -0.0999999999999996 \tabularnewline
25 & 9.2 & 9.3 & -0.100000000000001 \tabularnewline
26 & 9.2 & 9.2 & 0 \tabularnewline
27 & 9 & 9.2 & -0.199999999999999 \tabularnewline
28 & 8.8 & 9 & -0.199999999999999 \tabularnewline
29 & 8.7 & 8.8 & -0.100000000000001 \tabularnewline
30 & 8.7 & 8.7 & 0 \tabularnewline
31 & 9.1 & 8.7 & 0.4 \tabularnewline
32 & 9.7 & 9.1 & 0.6 \tabularnewline
33 & 9.8 & 9.7 & 0.100000000000001 \tabularnewline
34 & 9.6 & 9.8 & -0.200000000000001 \tabularnewline
35 & 9.4 & 9.6 & -0.199999999999999 \tabularnewline
36 & 9.4 & 9.4 & 0 \tabularnewline
37 & 9.5 & 9.4 & 0.0999999999999996 \tabularnewline
38 & 9.4 & 9.5 & -0.0999999999999996 \tabularnewline
39 & 9.3 & 9.4 & -0.0999999999999996 \tabularnewline
40 & 9.2 & 9.3 & -0.100000000000001 \tabularnewline
41 & 9 & 9.2 & -0.199999999999999 \tabularnewline
42 & 8.9 & 9 & -0.0999999999999996 \tabularnewline
43 & 9.2 & 8.9 & 0.299999999999999 \tabularnewline
44 & 9.8 & 9.2 & 0.600000000000001 \tabularnewline
45 & 9.9 & 9.8 & 0.0999999999999996 \tabularnewline
46 & 9.6 & 9.9 & -0.300000000000001 \tabularnewline
47 & 9.2 & 9.6 & -0.4 \tabularnewline
48 & 9.1 & 9.2 & -0.0999999999999996 \tabularnewline
49 & 9.1 & 9.1 & 0 \tabularnewline
50 & 9.1 & 9.1 & 0 \tabularnewline
51 & 8.9 & 9.1 & -0.199999999999999 \tabularnewline
52 & 8.7 & 8.9 & -0.200000000000001 \tabularnewline
53 & 8.5 & 8.7 & -0.199999999999999 \tabularnewline
54 & 8.4 & 8.5 & -0.0999999999999996 \tabularnewline
55 & 8.4 & 8.4 & 0 \tabularnewline
56 & 8.7 & 8.4 & 0.299999999999999 \tabularnewline
57 & 8.5 & 8.7 & -0.199999999999999 \tabularnewline
58 & 8.1 & 8.5 & -0.4 \tabularnewline
59 & 7.8 & 8.1 & -0.3 \tabularnewline
60 & 7.7 & 7.8 & -0.0999999999999996 \tabularnewline
61 & 7.4 & 7.7 & -0.3 \tabularnewline
62 & 7.2 & 7.4 & -0.2 \tabularnewline
63 & 7 & 7.2 & -0.2 \tabularnewline
64 & 6.6 & 7 & -0.4 \tabularnewline
65 & 6.4 & 6.6 & -0.199999999999999 \tabularnewline
66 & 6.4 & 6.4 & 0 \tabularnewline
67 & 6.8 & 6.4 & 0.399999999999999 \tabularnewline
68 & 7.3 & 6.8 & 0.5 \tabularnewline
69 & 7 & 7.3 & -0.3 \tabularnewline
70 & 7 & 7 & 0 \tabularnewline
71 & 6.7 & 7 & -0.3 \tabularnewline
72 & 6.7 & 6.7 & 0 \tabularnewline
73 & 6.3 & 6.7 & -0.4 \tabularnewline
74 & 6.2 & 6.3 & -0.0999999999999996 \tabularnewline
75 & 6 & 6.2 & -0.2 \tabularnewline
76 & 6.3 & 6 & 0.3 \tabularnewline
77 & 6.2 & 6.3 & -0.0999999999999996 \tabularnewline
78 & 6.1 & 6.2 & -0.100000000000001 \tabularnewline
79 & 6.2 & 6.1 & 0.100000000000001 \tabularnewline
80 & 6.6 & 6.2 & 0.399999999999999 \tabularnewline
81 & 6.6 & 6.6 & 0 \tabularnewline
82 & 7.8 & 6.6 & 1.2 \tabularnewline
83 & 7.4 & 7.8 & -0.399999999999999 \tabularnewline
84 & 7.4 & 7.4 & 0 \tabularnewline
85 & 7.5 & 7.4 & 0.0999999999999996 \tabularnewline
86 & 7.4 & 7.5 & -0.0999999999999996 \tabularnewline
87 & 7.4 & 7.4 & 0 \tabularnewline
88 & 7 & 7.4 & -0.4 \tabularnewline
89 & 6.9 & 7 & -0.0999999999999996 \tabularnewline
90 & 6.9 & 6.9 & 0 \tabularnewline
91 & 7.6 & 6.9 & 0.700 \tabularnewline
92 & 7.7 & 7.6 & 0.100000000000001 \tabularnewline
93 & 7.6 & 7.7 & -0.100000000000001 \tabularnewline
94 & 8.2 & 7.6 & 0.6 \tabularnewline
95 & 8 & 8.2 & -0.199999999999999 \tabularnewline
96 & 8.1 & 8 & 0.0999999999999996 \tabularnewline
97 & 8.3 & 8.1 & 0.200000000000001 \tabularnewline
98 & 8.2 & 8.3 & -0.100000000000001 \tabularnewline
99 & 8.1 & 8.2 & -0.0999999999999996 \tabularnewline
100 & 7.7 & 8.1 & -0.399999999999999 \tabularnewline
101 & 7.6 & 7.7 & -0.100000000000001 \tabularnewline
102 & 7.7 & 7.6 & 0.100000000000001 \tabularnewline
103 & 8.2 & 7.7 & 0.499999999999999 \tabularnewline
104 & 8.4 & 8.2 & 0.200000000000001 \tabularnewline
105 & 8.4 & 8.4 & 0 \tabularnewline
106 & 8.6 & 8.4 & 0.199999999999999 \tabularnewline
107 & 8.4 & 8.6 & -0.199999999999999 \tabularnewline
108 & 8.5 & 8.4 & 0.0999999999999996 \tabularnewline
109 & 8.7 & 8.5 & 0.199999999999999 \tabularnewline
110 & 8.7 & 8.7 & 0 \tabularnewline
111 & 8.6 & 8.7 & -0.0999999999999996 \tabularnewline
112 & 7.4 & 8.6 & -1.2 \tabularnewline
113 & 7.3 & 7.4 & -0.100000000000001 \tabularnewline
114 & 7.4 & 7.3 & 0.100000000000001 \tabularnewline
115 & 9 & 7.4 & 1.6 \tabularnewline
116 & 9.2 & 9 & 0.199999999999999 \tabularnewline
117 & 9.2 & 9.2 & 0 \tabularnewline
118 & 8.5 & 9.2 & -0.700 \tabularnewline
119 & 8.3 & 8.5 & -0.199999999999999 \tabularnewline
120 & 8.3 & 8.3 & 0 \tabularnewline
121 & 8.6 & 8.3 & 0.299999999999999 \tabularnewline
122 & 8.6 & 8.6 & 0 \tabularnewline
123 & 8.5 & 8.6 & -0.0999999999999996 \tabularnewline
124 & 8.1 & 8.5 & -0.4 \tabularnewline
125 & 8.1 & 8.1 & 0 \tabularnewline
126 & 8 & 8.1 & -0.0999999999999996 \tabularnewline
127 & 8.6 & 8 & 0.6 \tabularnewline
128 & 8.7 & 8.6 & 0.0999999999999996 \tabularnewline
129 & 8.7 & 8.7 & 0 \tabularnewline
130 & 8.6 & 8.7 & -0.0999999999999996 \tabularnewline
131 & 8.4 & 8.6 & -0.199999999999999 \tabularnewline
132 & 8.4 & 8.4 & 0 \tabularnewline
133 & 8.7 & 8.4 & 0.299999999999999 \tabularnewline
134 & 8.7 & 8.7 & 0 \tabularnewline
135 & 8.5 & 8.7 & -0.199999999999999 \tabularnewline
136 & 8.3 & 8.5 & -0.199999999999999 \tabularnewline
137 & 8.3 & 8.3 & 0 \tabularnewline
138 & 8.3 & 8.3 & 0 \tabularnewline
139 & 8.1 & 8.3 & -0.200000000000001 \tabularnewline
140 & 8.2 & 8.1 & 0.0999999999999996 \tabularnewline
141 & 8.1 & 8.2 & -0.0999999999999996 \tabularnewline
142 & 8.1 & 8.1 & 0 \tabularnewline
143 & 7.9 & 8.1 & -0.199999999999999 \tabularnewline
144 & 7.7 & 7.9 & -0.2 \tabularnewline
145 & 8.1 & 7.7 & 0.399999999999999 \tabularnewline
146 & 8 & 8.1 & -0.0999999999999996 \tabularnewline
147 & 7.7 & 8 & -0.3 \tabularnewline
148 & 7.8 & 7.7 & 0.0999999999999996 \tabularnewline
149 & 7.6 & 7.8 & -0.2 \tabularnewline
150 & 7.4 & 7.6 & -0.199999999999999 \tabularnewline
151 & 7.3 & 7.4 & -0.100000000000001 \tabularnewline
152 & 7.4 & 7.3 & 0.100000000000001 \tabularnewline
153 & 7.1 & 7.4 & -0.300000000000001 \tabularnewline
154 & 7.3 & 7.1 & 0.2 \tabularnewline
155 & 7.1 & 7.3 & -0.2 \tabularnewline
156 & 7.1 & 7.1 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13255&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]9.5[/C][C]9.7[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]4[/C][C]9.3[/C][C]9.5[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]5[/C][C]9.1[/C][C]9.3[/C][C]-0.200000000000001[/C][/ROW]
[ROW][C]6[/C][C]9[/C][C]9.1[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]7[/C][C]9.5[/C][C]9[/C][C]0.5[/C][/ROW]
[ROW][C]8[/C][C]10[/C][C]9.5[/C][C]0.5[/C][/ROW]
[ROW][C]9[/C][C]10.2[/C][C]10[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]10[/C][C]10.1[/C][C]10.2[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]11[/C][C]10[/C][C]10.1[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]12[/C][C]9.9[/C][C]10[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]13[/C][C]10[/C][C]9.9[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]14[/C][C]9.9[/C][C]10[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]15[/C][C]9.7[/C][C]9.9[/C][C]-0.200000000000001[/C][/ROW]
[ROW][C]16[/C][C]9.5[/C][C]9.7[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]17[/C][C]9.2[/C][C]9.5[/C][C]-0.300000000000001[/C][/ROW]
[ROW][C]18[/C][C]9[/C][C]9.2[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]19[/C][C]9.3[/C][C]9[/C][C]0.300000000000001[/C][/ROW]
[ROW][C]20[/C][C]9.8[/C][C]9.3[/C][C]0.5[/C][/ROW]
[ROW][C]21[/C][C]9.8[/C][C]9.8[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]9.6[/C][C]9.8[/C][C]-0.200000000000001[/C][/ROW]
[ROW][C]23[/C][C]9.4[/C][C]9.6[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]24[/C][C]9.3[/C][C]9.4[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]25[/C][C]9.2[/C][C]9.3[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]26[/C][C]9.2[/C][C]9.2[/C][C]0[/C][/ROW]
[ROW][C]27[/C][C]9[/C][C]9.2[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]28[/C][C]8.8[/C][C]9[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]29[/C][C]8.7[/C][C]8.8[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]30[/C][C]8.7[/C][C]8.7[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]9.1[/C][C]8.7[/C][C]0.4[/C][/ROW]
[ROW][C]32[/C][C]9.7[/C][C]9.1[/C][C]0.6[/C][/ROW]
[ROW][C]33[/C][C]9.8[/C][C]9.7[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]34[/C][C]9.6[/C][C]9.8[/C][C]-0.200000000000001[/C][/ROW]
[ROW][C]35[/C][C]9.4[/C][C]9.6[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]36[/C][C]9.4[/C][C]9.4[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]9.5[/C][C]9.4[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]38[/C][C]9.4[/C][C]9.5[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]39[/C][C]9.3[/C][C]9.4[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]40[/C][C]9.2[/C][C]9.3[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]41[/C][C]9[/C][C]9.2[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]42[/C][C]8.9[/C][C]9[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]43[/C][C]9.2[/C][C]8.9[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]44[/C][C]9.8[/C][C]9.2[/C][C]0.600000000000001[/C][/ROW]
[ROW][C]45[/C][C]9.9[/C][C]9.8[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]46[/C][C]9.6[/C][C]9.9[/C][C]-0.300000000000001[/C][/ROW]
[ROW][C]47[/C][C]9.2[/C][C]9.6[/C][C]-0.4[/C][/ROW]
[ROW][C]48[/C][C]9.1[/C][C]9.2[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]49[/C][C]9.1[/C][C]9.1[/C][C]0[/C][/ROW]
[ROW][C]50[/C][C]9.1[/C][C]9.1[/C][C]0[/C][/ROW]
[ROW][C]51[/C][C]8.9[/C][C]9.1[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]52[/C][C]8.7[/C][C]8.9[/C][C]-0.200000000000001[/C][/ROW]
[ROW][C]53[/C][C]8.5[/C][C]8.7[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]54[/C][C]8.4[/C][C]8.5[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]55[/C][C]8.4[/C][C]8.4[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]8.7[/C][C]8.4[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]57[/C][C]8.5[/C][C]8.7[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]58[/C][C]8.1[/C][C]8.5[/C][C]-0.4[/C][/ROW]
[ROW][C]59[/C][C]7.8[/C][C]8.1[/C][C]-0.3[/C][/ROW]
[ROW][C]60[/C][C]7.7[/C][C]7.8[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]61[/C][C]7.4[/C][C]7.7[/C][C]-0.3[/C][/ROW]
[ROW][C]62[/C][C]7.2[/C][C]7.4[/C][C]-0.2[/C][/ROW]
[ROW][C]63[/C][C]7[/C][C]7.2[/C][C]-0.2[/C][/ROW]
[ROW][C]64[/C][C]6.6[/C][C]7[/C][C]-0.4[/C][/ROW]
[ROW][C]65[/C][C]6.4[/C][C]6.6[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]66[/C][C]6.4[/C][C]6.4[/C][C]0[/C][/ROW]
[ROW][C]67[/C][C]6.8[/C][C]6.4[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]68[/C][C]7.3[/C][C]6.8[/C][C]0.5[/C][/ROW]
[ROW][C]69[/C][C]7[/C][C]7.3[/C][C]-0.3[/C][/ROW]
[ROW][C]70[/C][C]7[/C][C]7[/C][C]0[/C][/ROW]
[ROW][C]71[/C][C]6.7[/C][C]7[/C][C]-0.3[/C][/ROW]
[ROW][C]72[/C][C]6.7[/C][C]6.7[/C][C]0[/C][/ROW]
[ROW][C]73[/C][C]6.3[/C][C]6.7[/C][C]-0.4[/C][/ROW]
[ROW][C]74[/C][C]6.2[/C][C]6.3[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]75[/C][C]6[/C][C]6.2[/C][C]-0.2[/C][/ROW]
[ROW][C]76[/C][C]6.3[/C][C]6[/C][C]0.3[/C][/ROW]
[ROW][C]77[/C][C]6.2[/C][C]6.3[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]78[/C][C]6.1[/C][C]6.2[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]79[/C][C]6.2[/C][C]6.1[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]80[/C][C]6.6[/C][C]6.2[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]81[/C][C]6.6[/C][C]6.6[/C][C]0[/C][/ROW]
[ROW][C]82[/C][C]7.8[/C][C]6.6[/C][C]1.2[/C][/ROW]
[ROW][C]83[/C][C]7.4[/C][C]7.8[/C][C]-0.399999999999999[/C][/ROW]
[ROW][C]84[/C][C]7.4[/C][C]7.4[/C][C]0[/C][/ROW]
[ROW][C]85[/C][C]7.5[/C][C]7.4[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]86[/C][C]7.4[/C][C]7.5[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]87[/C][C]7.4[/C][C]7.4[/C][C]0[/C][/ROW]
[ROW][C]88[/C][C]7[/C][C]7.4[/C][C]-0.4[/C][/ROW]
[ROW][C]89[/C][C]6.9[/C][C]7[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]90[/C][C]6.9[/C][C]6.9[/C][C]0[/C][/ROW]
[ROW][C]91[/C][C]7.6[/C][C]6.9[/C][C]0.700[/C][/ROW]
[ROW][C]92[/C][C]7.7[/C][C]7.6[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]93[/C][C]7.6[/C][C]7.7[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]94[/C][C]8.2[/C][C]7.6[/C][C]0.6[/C][/ROW]
[ROW][C]95[/C][C]8[/C][C]8.2[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]96[/C][C]8.1[/C][C]8[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]97[/C][C]8.3[/C][C]8.1[/C][C]0.200000000000001[/C][/ROW]
[ROW][C]98[/C][C]8.2[/C][C]8.3[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]99[/C][C]8.1[/C][C]8.2[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]100[/C][C]7.7[/C][C]8.1[/C][C]-0.399999999999999[/C][/ROW]
[ROW][C]101[/C][C]7.6[/C][C]7.7[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]102[/C][C]7.7[/C][C]7.6[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]103[/C][C]8.2[/C][C]7.7[/C][C]0.499999999999999[/C][/ROW]
[ROW][C]104[/C][C]8.4[/C][C]8.2[/C][C]0.200000000000001[/C][/ROW]
[ROW][C]105[/C][C]8.4[/C][C]8.4[/C][C]0[/C][/ROW]
[ROW][C]106[/C][C]8.6[/C][C]8.4[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]107[/C][C]8.4[/C][C]8.6[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]108[/C][C]8.5[/C][C]8.4[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]109[/C][C]8.7[/C][C]8.5[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]110[/C][C]8.7[/C][C]8.7[/C][C]0[/C][/ROW]
[ROW][C]111[/C][C]8.6[/C][C]8.7[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]112[/C][C]7.4[/C][C]8.6[/C][C]-1.2[/C][/ROW]
[ROW][C]113[/C][C]7.3[/C][C]7.4[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]114[/C][C]7.4[/C][C]7.3[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]115[/C][C]9[/C][C]7.4[/C][C]1.6[/C][/ROW]
[ROW][C]116[/C][C]9.2[/C][C]9[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]117[/C][C]9.2[/C][C]9.2[/C][C]0[/C][/ROW]
[ROW][C]118[/C][C]8.5[/C][C]9.2[/C][C]-0.700[/C][/ROW]
[ROW][C]119[/C][C]8.3[/C][C]8.5[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]120[/C][C]8.3[/C][C]8.3[/C][C]0[/C][/ROW]
[ROW][C]121[/C][C]8.6[/C][C]8.3[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]122[/C][C]8.6[/C][C]8.6[/C][C]0[/C][/ROW]
[ROW][C]123[/C][C]8.5[/C][C]8.6[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]124[/C][C]8.1[/C][C]8.5[/C][C]-0.4[/C][/ROW]
[ROW][C]125[/C][C]8.1[/C][C]8.1[/C][C]0[/C][/ROW]
[ROW][C]126[/C][C]8[/C][C]8.1[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]127[/C][C]8.6[/C][C]8[/C][C]0.6[/C][/ROW]
[ROW][C]128[/C][C]8.7[/C][C]8.6[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]129[/C][C]8.7[/C][C]8.7[/C][C]0[/C][/ROW]
[ROW][C]130[/C][C]8.6[/C][C]8.7[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]131[/C][C]8.4[/C][C]8.6[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]132[/C][C]8.4[/C][C]8.4[/C][C]0[/C][/ROW]
[ROW][C]133[/C][C]8.7[/C][C]8.4[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]134[/C][C]8.7[/C][C]8.7[/C][C]0[/C][/ROW]
[ROW][C]135[/C][C]8.5[/C][C]8.7[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]136[/C][C]8.3[/C][C]8.5[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]137[/C][C]8.3[/C][C]8.3[/C][C]0[/C][/ROW]
[ROW][C]138[/C][C]8.3[/C][C]8.3[/C][C]0[/C][/ROW]
[ROW][C]139[/C][C]8.1[/C][C]8.3[/C][C]-0.200000000000001[/C][/ROW]
[ROW][C]140[/C][C]8.2[/C][C]8.1[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]141[/C][C]8.1[/C][C]8.2[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]142[/C][C]8.1[/C][C]8.1[/C][C]0[/C][/ROW]
[ROW][C]143[/C][C]7.9[/C][C]8.1[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]144[/C][C]7.7[/C][C]7.9[/C][C]-0.2[/C][/ROW]
[ROW][C]145[/C][C]8.1[/C][C]7.7[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]146[/C][C]8[/C][C]8.1[/C][C]-0.0999999999999996[/C][/ROW]
[ROW][C]147[/C][C]7.7[/C][C]8[/C][C]-0.3[/C][/ROW]
[ROW][C]148[/C][C]7.8[/C][C]7.7[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]149[/C][C]7.6[/C][C]7.8[/C][C]-0.2[/C][/ROW]
[ROW][C]150[/C][C]7.4[/C][C]7.6[/C][C]-0.199999999999999[/C][/ROW]
[ROW][C]151[/C][C]7.3[/C][C]7.4[/C][C]-0.100000000000001[/C][/ROW]
[ROW][C]152[/C][C]7.4[/C][C]7.3[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]153[/C][C]7.1[/C][C]7.4[/C][C]-0.300000000000001[/C][/ROW]
[ROW][C]154[/C][C]7.3[/C][C]7.1[/C][C]0.2[/C][/ROW]
[ROW][C]155[/C][C]7.1[/C][C]7.3[/C][C]-0.2[/C][/ROW]
[ROW][C]156[/C][C]7.1[/C][C]7.1[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13255&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13255&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
39.59.7-0.199999999999999
49.39.5-0.199999999999999
59.19.3-0.200000000000001
699.1-0.0999999999999996
79.590.5
8109.50.5
910.2100.199999999999999
1010.110.2-0.0999999999999996
111010.1-0.0999999999999996
129.910-0.0999999999999996
13109.90.0999999999999996
149.910-0.0999999999999996
159.79.9-0.200000000000001
169.59.7-0.199999999999999
179.29.5-0.300000000000001
1899.2-0.199999999999999
199.390.300000000000001
209.89.30.5
219.89.80
229.69.8-0.200000000000001
239.49.6-0.199999999999999
249.39.4-0.0999999999999996
259.29.3-0.100000000000001
269.29.20
2799.2-0.199999999999999
288.89-0.199999999999999
298.78.8-0.100000000000001
308.78.70
319.18.70.4
329.79.10.6
339.89.70.100000000000001
349.69.8-0.200000000000001
359.49.6-0.199999999999999
369.49.40
379.59.40.0999999999999996
389.49.5-0.0999999999999996
399.39.4-0.0999999999999996
409.29.3-0.100000000000001
4199.2-0.199999999999999
428.99-0.0999999999999996
439.28.90.299999999999999
449.89.20.600000000000001
459.99.80.0999999999999996
469.69.9-0.300000000000001
479.29.6-0.4
489.19.2-0.0999999999999996
499.19.10
509.19.10
518.99.1-0.199999999999999
528.78.9-0.200000000000001
538.58.7-0.199999999999999
548.48.5-0.0999999999999996
558.48.40
568.78.40.299999999999999
578.58.7-0.199999999999999
588.18.5-0.4
597.88.1-0.3
607.77.8-0.0999999999999996
617.47.7-0.3
627.27.4-0.2
6377.2-0.2
646.67-0.4
656.46.6-0.199999999999999
666.46.40
676.86.40.399999999999999
687.36.80.5
6977.3-0.3
70770
716.77-0.3
726.76.70
736.36.7-0.4
746.26.3-0.0999999999999996
7566.2-0.2
766.360.3
776.26.3-0.0999999999999996
786.16.2-0.100000000000001
796.26.10.100000000000001
806.66.20.399999999999999
816.66.60
827.86.61.2
837.47.8-0.399999999999999
847.47.40
857.57.40.0999999999999996
867.47.5-0.0999999999999996
877.47.40
8877.4-0.4
896.97-0.0999999999999996
906.96.90
917.66.90.700
927.77.60.100000000000001
937.67.7-0.100000000000001
948.27.60.6
9588.2-0.199999999999999
968.180.0999999999999996
978.38.10.200000000000001
988.28.3-0.100000000000001
998.18.2-0.0999999999999996
1007.78.1-0.399999999999999
1017.67.7-0.100000000000001
1027.77.60.100000000000001
1038.27.70.499999999999999
1048.48.20.200000000000001
1058.48.40
1068.68.40.199999999999999
1078.48.6-0.199999999999999
1088.58.40.0999999999999996
1098.78.50.199999999999999
1108.78.70
1118.68.7-0.0999999999999996
1127.48.6-1.2
1137.37.4-0.100000000000001
1147.47.30.100000000000001
11597.41.6
1169.290.199999999999999
1179.29.20
1188.59.2-0.700
1198.38.5-0.199999999999999
1208.38.30
1218.68.30.299999999999999
1228.68.60
1238.58.6-0.0999999999999996
1248.18.5-0.4
1258.18.10
12688.1-0.0999999999999996
1278.680.6
1288.78.60.0999999999999996
1298.78.70
1308.68.7-0.0999999999999996
1318.48.6-0.199999999999999
1328.48.40
1338.78.40.299999999999999
1348.78.70
1358.58.7-0.199999999999999
1368.38.5-0.199999999999999
1378.38.30
1388.38.30
1398.18.3-0.200000000000001
1408.28.10.0999999999999996
1418.18.2-0.0999999999999996
1428.18.10
1437.98.1-0.199999999999999
1447.77.9-0.2
1458.17.70.399999999999999
14688.1-0.0999999999999996
1477.78-0.3
1487.87.70.0999999999999996
1497.67.8-0.2
1507.47.6-0.199999999999999
1517.37.4-0.100000000000001
1527.47.30.100000000000001
1537.17.4-0.300000000000001
1547.37.10.2
1557.17.3-0.2
1567.17.10







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1577.16.500464648380997.699535351619
1587.16.252128974618287.94787102538172
1597.16.061574310062218.1384256899378
1607.15.900929296761998.29907070323801
1617.15.759398198865668.44060180113434
1627.15.631444305773348.56855569422666
1637.15.513778557424448.68622144257556
1647.15.404257949236558.79574205076344
1657.15.301393945142988.89860605485702
1667.15.204102751094028.99589724890598
1677.15.111566190125969.08843380987404
1687.15.023148620124419.17685137987558

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
157 & 7.1 & 6.50046464838099 & 7.699535351619 \tabularnewline
158 & 7.1 & 6.25212897461828 & 7.94787102538172 \tabularnewline
159 & 7.1 & 6.06157431006221 & 8.1384256899378 \tabularnewline
160 & 7.1 & 5.90092929676199 & 8.29907070323801 \tabularnewline
161 & 7.1 & 5.75939819886566 & 8.44060180113434 \tabularnewline
162 & 7.1 & 5.63144430577334 & 8.56855569422666 \tabularnewline
163 & 7.1 & 5.51377855742444 & 8.68622144257556 \tabularnewline
164 & 7.1 & 5.40425794923655 & 8.79574205076344 \tabularnewline
165 & 7.1 & 5.30139394514298 & 8.89860605485702 \tabularnewline
166 & 7.1 & 5.20410275109402 & 8.99589724890598 \tabularnewline
167 & 7.1 & 5.11156619012596 & 9.08843380987404 \tabularnewline
168 & 7.1 & 5.02314862012441 & 9.17685137987558 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13255&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]157[/C][C]7.1[/C][C]6.50046464838099[/C][C]7.699535351619[/C][/ROW]
[ROW][C]158[/C][C]7.1[/C][C]6.25212897461828[/C][C]7.94787102538172[/C][/ROW]
[ROW][C]159[/C][C]7.1[/C][C]6.06157431006221[/C][C]8.1384256899378[/C][/ROW]
[ROW][C]160[/C][C]7.1[/C][C]5.90092929676199[/C][C]8.29907070323801[/C][/ROW]
[ROW][C]161[/C][C]7.1[/C][C]5.75939819886566[/C][C]8.44060180113434[/C][/ROW]
[ROW][C]162[/C][C]7.1[/C][C]5.63144430577334[/C][C]8.56855569422666[/C][/ROW]
[ROW][C]163[/C][C]7.1[/C][C]5.51377855742444[/C][C]8.68622144257556[/C][/ROW]
[ROW][C]164[/C][C]7.1[/C][C]5.40425794923655[/C][C]8.79574205076344[/C][/ROW]
[ROW][C]165[/C][C]7.1[/C][C]5.30139394514298[/C][C]8.89860605485702[/C][/ROW]
[ROW][C]166[/C][C]7.1[/C][C]5.20410275109402[/C][C]8.99589724890598[/C][/ROW]
[ROW][C]167[/C][C]7.1[/C][C]5.11156619012596[/C][C]9.08843380987404[/C][/ROW]
[ROW][C]168[/C][C]7.1[/C][C]5.02314862012441[/C][C]9.17685137987558[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13255&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13255&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
1577.16.500464648380997.699535351619
1587.16.252128974618287.94787102538172
1597.16.061574310062218.1384256899378
1607.15.900929296761998.29907070323801
1617.15.759398198865668.44060180113434
1627.15.631444305773348.56855569422666
1637.15.513778557424448.68622144257556
1647.15.404257949236558.79574205076344
1657.15.301393945142988.89860605485702
1667.15.204102751094028.99589724890598
1677.15.111566190125969.08843380987404
1687.15.023148620124419.17685137987558



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=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')