Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 27 Nov 2016 11:09:12 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Nov/27/t1480244979ln0jwt7u52cl8df.htm/, Retrieved Mon, 29 Apr 2024 19:42:07 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 29 Apr 2024 19:42:07 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
95,9
89,2
100,2
102,3
102,2
100,5
104,1
94,9
97,3
100,3
98
115,1
94,4
91,6
104,1
107,8
101,7
104,1
102
99,9
101,6
101,3
101
115,9
97,5
97,6
109,2
101,6
108,8
108,8
100,9
107,4
101,7
104,5
106,1
116,7
103,7
96,5
114,1
102,8
114,5
107,2
107,9
111,3
99,8
106,7
106,9
115,3
106,1
97,3
109
109,8
116,5
108,3
110,8
108,7
104
111,3
106,5
120,5
110
99,7
109
112,2
116
112,3
113,2
109,9
107,6
114,9
105,7
123,3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

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







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0
beta0
gamma1

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

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1394.493.16255341880351.23744658119655
1491.690.44221542346541.15778457653455
15104.1102.7552107614611.34478923853921
16107.8106.4348727661231.3651272338772
17101.7100.3687014374511.33129856254854
18104.1102.8108634421131.28913655788654
19102105.157192113442-3.15719211344212
2099.996.12018745143753.77981254856253
21101.698.45818278943283.1418172105672
22101.3101.2670114607610.0329885392385307
2310198.95917346542352.04082653457651
24115.9116.130502136752-0.230502136752136
2597.596.8059440559440.694055944055975
2697.694.0059440559443.59405594405598
27109.2106.5059440559442.69405594405599
28101.6110.205944055944-8.60594405594402
29108.8104.1059440559444.69405594405598
30108.8106.5059440559442.29405594405598
31100.9104.405944055944-3.50594405594401
32107.4102.3059440559445.09405594405598
33101.7104.005944055944-2.30594405594401
34104.5103.7059440559440.794055944055984
35106.1103.4059440559442.69405594405598
36116.7118.305944055944-1.60594405594402
37103.799.9059440559443.79405594405598
3896.5100.005944055944-3.50594405594401
39114.1111.6059440559442.49405594405597
40102.8104.005944055944-1.20594405594402
41114.5111.2059440559443.29405594405598
42107.2111.205944055944-4.00594405594401
43107.9103.3059440559444.59405594405598
44111.3109.8059440559441.49405594405597
4599.8104.105944055944-4.30594405594402
46106.7106.905944055944-0.205944055944016
47106.9108.505944055944-1.60594405594401
48115.3119.105944055944-3.80594405594402
49106.1106.105944055944-0.00594405594402758
5097.398.905944055944-1.60594405594402
51109116.505944055944-7.50594405594401
52109.8105.2059440559444.59405594405598
53116.5116.905944055944-0.405944055944019
54108.3109.605944055944-1.30594405594402
55110.8110.3059440559440.494055944055972
56108.7113.705944055944-5.00594405594401
57104102.2059440559441.79405594405598
58111.3109.1059440559442.19405594405598
59106.5109.305944055944-2.80594405594402
60120.5117.7059440559442.79405594405598
61110108.5059440559441.49405594405599
6299.799.705944055944-0.00594405594401337
63109111.405944055944-2.40594405594402
64112.2112.205944055944-0.00594405594401337
65116118.905944055944-2.90594405594402
66112.3110.7059440559441.59405594405598
67113.2113.205944055944-0.00594405594401337
68109.9111.105944055944-1.20594405594402
69107.6106.4059440559441.19405594405598
70114.9113.7059440559441.19405594405599
71105.7108.905944055944-3.20594405594402
72123.3122.9059440559440.394055944055978

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 94.4 & 93.1625534188035 & 1.23744658119655 \tabularnewline
14 & 91.6 & 90.4422154234654 & 1.15778457653455 \tabularnewline
15 & 104.1 & 102.755210761461 & 1.34478923853921 \tabularnewline
16 & 107.8 & 106.434872766123 & 1.3651272338772 \tabularnewline
17 & 101.7 & 100.368701437451 & 1.33129856254854 \tabularnewline
18 & 104.1 & 102.810863442113 & 1.28913655788654 \tabularnewline
19 & 102 & 105.157192113442 & -3.15719211344212 \tabularnewline
20 & 99.9 & 96.1201874514375 & 3.77981254856253 \tabularnewline
21 & 101.6 & 98.4581827894328 & 3.1418172105672 \tabularnewline
22 & 101.3 & 101.267011460761 & 0.0329885392385307 \tabularnewline
23 & 101 & 98.9591734654235 & 2.04082653457651 \tabularnewline
24 & 115.9 & 116.130502136752 & -0.230502136752136 \tabularnewline
25 & 97.5 & 96.805944055944 & 0.694055944055975 \tabularnewline
26 & 97.6 & 94.005944055944 & 3.59405594405598 \tabularnewline
27 & 109.2 & 106.505944055944 & 2.69405594405599 \tabularnewline
28 & 101.6 & 110.205944055944 & -8.60594405594402 \tabularnewline
29 & 108.8 & 104.105944055944 & 4.69405594405598 \tabularnewline
30 & 108.8 & 106.505944055944 & 2.29405594405598 \tabularnewline
31 & 100.9 & 104.405944055944 & -3.50594405594401 \tabularnewline
32 & 107.4 & 102.305944055944 & 5.09405594405598 \tabularnewline
33 & 101.7 & 104.005944055944 & -2.30594405594401 \tabularnewline
34 & 104.5 & 103.705944055944 & 0.794055944055984 \tabularnewline
35 & 106.1 & 103.405944055944 & 2.69405594405598 \tabularnewline
36 & 116.7 & 118.305944055944 & -1.60594405594402 \tabularnewline
37 & 103.7 & 99.905944055944 & 3.79405594405598 \tabularnewline
38 & 96.5 & 100.005944055944 & -3.50594405594401 \tabularnewline
39 & 114.1 & 111.605944055944 & 2.49405594405597 \tabularnewline
40 & 102.8 & 104.005944055944 & -1.20594405594402 \tabularnewline
41 & 114.5 & 111.205944055944 & 3.29405594405598 \tabularnewline
42 & 107.2 & 111.205944055944 & -4.00594405594401 \tabularnewline
43 & 107.9 & 103.305944055944 & 4.59405594405598 \tabularnewline
44 & 111.3 & 109.805944055944 & 1.49405594405597 \tabularnewline
45 & 99.8 & 104.105944055944 & -4.30594405594402 \tabularnewline
46 & 106.7 & 106.905944055944 & -0.205944055944016 \tabularnewline
47 & 106.9 & 108.505944055944 & -1.60594405594401 \tabularnewline
48 & 115.3 & 119.105944055944 & -3.80594405594402 \tabularnewline
49 & 106.1 & 106.105944055944 & -0.00594405594402758 \tabularnewline
50 & 97.3 & 98.905944055944 & -1.60594405594402 \tabularnewline
51 & 109 & 116.505944055944 & -7.50594405594401 \tabularnewline
52 & 109.8 & 105.205944055944 & 4.59405594405598 \tabularnewline
53 & 116.5 & 116.905944055944 & -0.405944055944019 \tabularnewline
54 & 108.3 & 109.605944055944 & -1.30594405594402 \tabularnewline
55 & 110.8 & 110.305944055944 & 0.494055944055972 \tabularnewline
56 & 108.7 & 113.705944055944 & -5.00594405594401 \tabularnewline
57 & 104 & 102.205944055944 & 1.79405594405598 \tabularnewline
58 & 111.3 & 109.105944055944 & 2.19405594405598 \tabularnewline
59 & 106.5 & 109.305944055944 & -2.80594405594402 \tabularnewline
60 & 120.5 & 117.705944055944 & 2.79405594405598 \tabularnewline
61 & 110 & 108.505944055944 & 1.49405594405599 \tabularnewline
62 & 99.7 & 99.705944055944 & -0.00594405594401337 \tabularnewline
63 & 109 & 111.405944055944 & -2.40594405594402 \tabularnewline
64 & 112.2 & 112.205944055944 & -0.00594405594401337 \tabularnewline
65 & 116 & 118.905944055944 & -2.90594405594402 \tabularnewline
66 & 112.3 & 110.705944055944 & 1.59405594405598 \tabularnewline
67 & 113.2 & 113.205944055944 & -0.00594405594401337 \tabularnewline
68 & 109.9 & 111.105944055944 & -1.20594405594402 \tabularnewline
69 & 107.6 & 106.405944055944 & 1.19405594405598 \tabularnewline
70 & 114.9 & 113.705944055944 & 1.19405594405599 \tabularnewline
71 & 105.7 & 108.905944055944 & -3.20594405594402 \tabularnewline
72 & 123.3 & 122.905944055944 & 0.394055944055978 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]13[/C][C]94.4[/C][C]93.1625534188035[/C][C]1.23744658119655[/C][/ROW]
[ROW][C]14[/C][C]91.6[/C][C]90.4422154234654[/C][C]1.15778457653455[/C][/ROW]
[ROW][C]15[/C][C]104.1[/C][C]102.755210761461[/C][C]1.34478923853921[/C][/ROW]
[ROW][C]16[/C][C]107.8[/C][C]106.434872766123[/C][C]1.3651272338772[/C][/ROW]
[ROW][C]17[/C][C]101.7[/C][C]100.368701437451[/C][C]1.33129856254854[/C][/ROW]
[ROW][C]18[/C][C]104.1[/C][C]102.810863442113[/C][C]1.28913655788654[/C][/ROW]
[ROW][C]19[/C][C]102[/C][C]105.157192113442[/C][C]-3.15719211344212[/C][/ROW]
[ROW][C]20[/C][C]99.9[/C][C]96.1201874514375[/C][C]3.77981254856253[/C][/ROW]
[ROW][C]21[/C][C]101.6[/C][C]98.4581827894328[/C][C]3.1418172105672[/C][/ROW]
[ROW][C]22[/C][C]101.3[/C][C]101.267011460761[/C][C]0.0329885392385307[/C][/ROW]
[ROW][C]23[/C][C]101[/C][C]98.9591734654235[/C][C]2.04082653457651[/C][/ROW]
[ROW][C]24[/C][C]115.9[/C][C]116.130502136752[/C][C]-0.230502136752136[/C][/ROW]
[ROW][C]25[/C][C]97.5[/C][C]96.805944055944[/C][C]0.694055944055975[/C][/ROW]
[ROW][C]26[/C][C]97.6[/C][C]94.005944055944[/C][C]3.59405594405598[/C][/ROW]
[ROW][C]27[/C][C]109.2[/C][C]106.505944055944[/C][C]2.69405594405599[/C][/ROW]
[ROW][C]28[/C][C]101.6[/C][C]110.205944055944[/C][C]-8.60594405594402[/C][/ROW]
[ROW][C]29[/C][C]108.8[/C][C]104.105944055944[/C][C]4.69405594405598[/C][/ROW]
[ROW][C]30[/C][C]108.8[/C][C]106.505944055944[/C][C]2.29405594405598[/C][/ROW]
[ROW][C]31[/C][C]100.9[/C][C]104.405944055944[/C][C]-3.50594405594401[/C][/ROW]
[ROW][C]32[/C][C]107.4[/C][C]102.305944055944[/C][C]5.09405594405598[/C][/ROW]
[ROW][C]33[/C][C]101.7[/C][C]104.005944055944[/C][C]-2.30594405594401[/C][/ROW]
[ROW][C]34[/C][C]104.5[/C][C]103.705944055944[/C][C]0.794055944055984[/C][/ROW]
[ROW][C]35[/C][C]106.1[/C][C]103.405944055944[/C][C]2.69405594405598[/C][/ROW]
[ROW][C]36[/C][C]116.7[/C][C]118.305944055944[/C][C]-1.60594405594402[/C][/ROW]
[ROW][C]37[/C][C]103.7[/C][C]99.905944055944[/C][C]3.79405594405598[/C][/ROW]
[ROW][C]38[/C][C]96.5[/C][C]100.005944055944[/C][C]-3.50594405594401[/C][/ROW]
[ROW][C]39[/C][C]114.1[/C][C]111.605944055944[/C][C]2.49405594405597[/C][/ROW]
[ROW][C]40[/C][C]102.8[/C][C]104.005944055944[/C][C]-1.20594405594402[/C][/ROW]
[ROW][C]41[/C][C]114.5[/C][C]111.205944055944[/C][C]3.29405594405598[/C][/ROW]
[ROW][C]42[/C][C]107.2[/C][C]111.205944055944[/C][C]-4.00594405594401[/C][/ROW]
[ROW][C]43[/C][C]107.9[/C][C]103.305944055944[/C][C]4.59405594405598[/C][/ROW]
[ROW][C]44[/C][C]111.3[/C][C]109.805944055944[/C][C]1.49405594405597[/C][/ROW]
[ROW][C]45[/C][C]99.8[/C][C]104.105944055944[/C][C]-4.30594405594402[/C][/ROW]
[ROW][C]46[/C][C]106.7[/C][C]106.905944055944[/C][C]-0.205944055944016[/C][/ROW]
[ROW][C]47[/C][C]106.9[/C][C]108.505944055944[/C][C]-1.60594405594401[/C][/ROW]
[ROW][C]48[/C][C]115.3[/C][C]119.105944055944[/C][C]-3.80594405594402[/C][/ROW]
[ROW][C]49[/C][C]106.1[/C][C]106.105944055944[/C][C]-0.00594405594402758[/C][/ROW]
[ROW][C]50[/C][C]97.3[/C][C]98.905944055944[/C][C]-1.60594405594402[/C][/ROW]
[ROW][C]51[/C][C]109[/C][C]116.505944055944[/C][C]-7.50594405594401[/C][/ROW]
[ROW][C]52[/C][C]109.8[/C][C]105.205944055944[/C][C]4.59405594405598[/C][/ROW]
[ROW][C]53[/C][C]116.5[/C][C]116.905944055944[/C][C]-0.405944055944019[/C][/ROW]
[ROW][C]54[/C][C]108.3[/C][C]109.605944055944[/C][C]-1.30594405594402[/C][/ROW]
[ROW][C]55[/C][C]110.8[/C][C]110.305944055944[/C][C]0.494055944055972[/C][/ROW]
[ROW][C]56[/C][C]108.7[/C][C]113.705944055944[/C][C]-5.00594405594401[/C][/ROW]
[ROW][C]57[/C][C]104[/C][C]102.205944055944[/C][C]1.79405594405598[/C][/ROW]
[ROW][C]58[/C][C]111.3[/C][C]109.105944055944[/C][C]2.19405594405598[/C][/ROW]
[ROW][C]59[/C][C]106.5[/C][C]109.305944055944[/C][C]-2.80594405594402[/C][/ROW]
[ROW][C]60[/C][C]120.5[/C][C]117.705944055944[/C][C]2.79405594405598[/C][/ROW]
[ROW][C]61[/C][C]110[/C][C]108.505944055944[/C][C]1.49405594405599[/C][/ROW]
[ROW][C]62[/C][C]99.7[/C][C]99.705944055944[/C][C]-0.00594405594401337[/C][/ROW]
[ROW][C]63[/C][C]109[/C][C]111.405944055944[/C][C]-2.40594405594402[/C][/ROW]
[ROW][C]64[/C][C]112.2[/C][C]112.205944055944[/C][C]-0.00594405594401337[/C][/ROW]
[ROW][C]65[/C][C]116[/C][C]118.905944055944[/C][C]-2.90594405594402[/C][/ROW]
[ROW][C]66[/C][C]112.3[/C][C]110.705944055944[/C][C]1.59405594405598[/C][/ROW]
[ROW][C]67[/C][C]113.2[/C][C]113.205944055944[/C][C]-0.00594405594401337[/C][/ROW]
[ROW][C]68[/C][C]109.9[/C][C]111.105944055944[/C][C]-1.20594405594402[/C][/ROW]
[ROW][C]69[/C][C]107.6[/C][C]106.405944055944[/C][C]1.19405594405598[/C][/ROW]
[ROW][C]70[/C][C]114.9[/C][C]113.705944055944[/C][C]1.19405594405599[/C][/ROW]
[ROW][C]71[/C][C]105.7[/C][C]108.905944055944[/C][C]-3.20594405594402[/C][/ROW]
[ROW][C]72[/C][C]123.3[/C][C]122.905944055944[/C][C]0.394055944055978[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
1394.493.16255341880351.23744658119655
1491.690.44221542346541.15778457653455
15104.1102.7552107614611.34478923853921
16107.8106.4348727661231.3651272338772
17101.7100.3687014374511.33129856254854
18104.1102.8108634421131.28913655788654
19102105.157192113442-3.15719211344212
2099.996.12018745143753.77981254856253
21101.698.45818278943283.1418172105672
22101.3101.2670114607610.0329885392385307
2310198.95917346542352.04082653457651
24115.9116.130502136752-0.230502136752136
2597.596.8059440559440.694055944055975
2697.694.0059440559443.59405594405598
27109.2106.5059440559442.69405594405599
28101.6110.205944055944-8.60594405594402
29108.8104.1059440559444.69405594405598
30108.8106.5059440559442.29405594405598
31100.9104.405944055944-3.50594405594401
32107.4102.3059440559445.09405594405598
33101.7104.005944055944-2.30594405594401
34104.5103.7059440559440.794055944055984
35106.1103.4059440559442.69405594405598
36116.7118.305944055944-1.60594405594402
37103.799.9059440559443.79405594405598
3896.5100.005944055944-3.50594405594401
39114.1111.6059440559442.49405594405597
40102.8104.005944055944-1.20594405594402
41114.5111.2059440559443.29405594405598
42107.2111.205944055944-4.00594405594401
43107.9103.3059440559444.59405594405598
44111.3109.8059440559441.49405594405597
4599.8104.105944055944-4.30594405594402
46106.7106.905944055944-0.205944055944016
47106.9108.505944055944-1.60594405594401
48115.3119.105944055944-3.80594405594402
49106.1106.105944055944-0.00594405594402758
5097.398.905944055944-1.60594405594402
51109116.505944055944-7.50594405594401
52109.8105.2059440559444.59405594405598
53116.5116.905944055944-0.405944055944019
54108.3109.605944055944-1.30594405594402
55110.8110.3059440559440.494055944055972
56108.7113.705944055944-5.00594405594401
57104102.2059440559441.79405594405598
58111.3109.1059440559442.19405594405598
59106.5109.305944055944-2.80594405594402
60120.5117.7059440559442.79405594405598
61110108.5059440559441.49405594405599
6299.799.705944055944-0.00594405594401337
63109111.405944055944-2.40594405594402
64112.2112.205944055944-0.00594405594401337
65116118.905944055944-2.90594405594402
66112.3110.7059440559441.59405594405598
67113.2113.205944055944-0.00594405594401337
68109.9111.105944055944-1.20594405594402
69107.6106.4059440559441.19405594405598
70114.9113.7059440559441.19405594405599
71105.7108.905944055944-3.20594405594402
72123.3122.9059440559440.394055944055978







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73112.405944055944106.65132407761118.160564034278
74102.10594405594496.3513240776105107.860564034278
75111.405944055944105.65132407761117.160564034278
76114.605944055944108.85132407761120.360564034278
77118.405944055944112.65132407761124.160564034278
78114.705944055944108.95132407761120.460564034278
79115.605944055944109.85132407761121.360564034278
80112.305944055944106.55132407761118.060564034278
81110.005944055944104.25132407761115.760564034278
82117.305944055944111.55132407761123.060564034278
83108.105944055944102.35132407761113.860564034278
84125.705944055944119.95132407761131.460564034278

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 112.405944055944 & 106.65132407761 & 118.160564034278 \tabularnewline
74 & 102.105944055944 & 96.3513240776105 & 107.860564034278 \tabularnewline
75 & 111.405944055944 & 105.65132407761 & 117.160564034278 \tabularnewline
76 & 114.605944055944 & 108.85132407761 & 120.360564034278 \tabularnewline
77 & 118.405944055944 & 112.65132407761 & 124.160564034278 \tabularnewline
78 & 114.705944055944 & 108.95132407761 & 120.460564034278 \tabularnewline
79 & 115.605944055944 & 109.85132407761 & 121.360564034278 \tabularnewline
80 & 112.305944055944 & 106.55132407761 & 118.060564034278 \tabularnewline
81 & 110.005944055944 & 104.25132407761 & 115.760564034278 \tabularnewline
82 & 117.305944055944 & 111.55132407761 & 123.060564034278 \tabularnewline
83 & 108.105944055944 & 102.35132407761 & 113.860564034278 \tabularnewline
84 & 125.705944055944 & 119.95132407761 & 131.460564034278 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]112.405944055944[/C][C]106.65132407761[/C][C]118.160564034278[/C][/ROW]
[ROW][C]74[/C][C]102.105944055944[/C][C]96.3513240776105[/C][C]107.860564034278[/C][/ROW]
[ROW][C]75[/C][C]111.405944055944[/C][C]105.65132407761[/C][C]117.160564034278[/C][/ROW]
[ROW][C]76[/C][C]114.605944055944[/C][C]108.85132407761[/C][C]120.360564034278[/C][/ROW]
[ROW][C]77[/C][C]118.405944055944[/C][C]112.65132407761[/C][C]124.160564034278[/C][/ROW]
[ROW][C]78[/C][C]114.705944055944[/C][C]108.95132407761[/C][C]120.460564034278[/C][/ROW]
[ROW][C]79[/C][C]115.605944055944[/C][C]109.85132407761[/C][C]121.360564034278[/C][/ROW]
[ROW][C]80[/C][C]112.305944055944[/C][C]106.55132407761[/C][C]118.060564034278[/C][/ROW]
[ROW][C]81[/C][C]110.005944055944[/C][C]104.25132407761[/C][C]115.760564034278[/C][/ROW]
[ROW][C]82[/C][C]117.305944055944[/C][C]111.55132407761[/C][C]123.060564034278[/C][/ROW]
[ROW][C]83[/C][C]108.105944055944[/C][C]102.35132407761[/C][C]113.860564034278[/C][/ROW]
[ROW][C]84[/C][C]125.705944055944[/C][C]119.95132407761[/C][C]131.460564034278[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
73112.405944055944106.65132407761118.160564034278
74102.10594405594496.3513240776105107.860564034278
75111.405944055944105.65132407761117.160564034278
76114.605944055944108.85132407761120.360564034278
77118.405944055944112.65132407761124.160564034278
78114.705944055944108.95132407761120.460564034278
79115.605944055944109.85132407761121.360564034278
80112.305944055944106.55132407761118.060564034278
81110.005944055944104.25132407761115.760564034278
82117.305944055944111.55132407761123.060564034278
83108.105944055944102.35132407761113.860564034278
84125.705944055944119.95132407761131.460564034278



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')