Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 24 Dec 2010 12:52:36 +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/2010/Dec/24/t1293195708q77qklkg9p4qd1f.htm/, Retrieved Tue, 30 Apr 2024 06:53:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114889, Retrieved Tue, 30 Apr 2024 06:53:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [ARIMA Forecasting] [] [2010-12-14 14:23:29] [abe7df3fc544bbb0ed435b4e9982bc91]
- RMPD      [Exponential Smoothing] [] [2010-12-24 12:52:36] [29eeba0e6ce2cd83aa315a4a7ff8c4aa] [Current]
Feedback Forum

Post a new message
Dataseries X:
6.4
7.7
9.2
8.6
7.4
8.6
6.2
6
6.6
5.1
4.7
5
3.6
1.9
-0.1
-5.7
-5.6
-6.4
-7.7
-8
-11.9
-15.4
-15.5
-13.4
-10.9
-10.8
-7.3
-6.5
-5.1
-5.3
-6.8
-8.4
-8.4
-9.7
-8.8
-9.6
-11.5
-11
-14.9
-16.2
-14.4
-17.3
-15.7
-12.6
-9.4
-8.1
-5.4
-4.6
-4.9
-4
-3.1
-1.3
0
-0.4
3
0.4
1.2
0.6
-1.3
-3.2
-1.8
-3.6
-4.2
-6.9
-8
-7.5
-8.2
-7.6
-3.7
-1.7
-0.7
0.2
0.6
2.2
3.3
5.3
5.5
6.3
7.7
6.5
5.5
6.9
5.7
6.9
6.1
4.8
3.7
5.8
6.8
8.5
7.2
5
4.7
2.3
2.4
0.1
1.9
1.7
2
-1.9
0.5
-1.3
-3.3
-2.8
-8
-13.9
-21.9
-28.8
-27.6
-31.4
-31.8
-29.4
-27.6
-23.6
-22.8
-18.2
-17.8
-14.2
-8.8
-7.9
-7
-7
-3.6
-2.4
-4.9
-7.7
-6.5
-5.1
-3.4
-2.8
0.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114889&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114889&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114889&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 time3 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.949476818409096
beta0.434986722767703
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.949476818409096 \tabularnewline
beta & 0.434986722767703 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114889&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]0.949476818409096[/C][/ROW]
[ROW][C]beta[/C][C]0.434986722767703[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114889&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114889&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
alpha0.949476818409096
beta0.434986722767703
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
39.290.199999999999999
48.610.5724973255986-1.97249732559855
57.49.26759805763575-1.86759805763575
68.67.290961894708731.30903810529127
76.28.87111370760506-2.67111370760506
865.569007476653070.430992523346931
96.65.390283340231911.20971665976809
105.16.4505645665793-1.35056456657931
114.74.522121705428460.177878294571544
1254.118365389773270.881634610226726
133.64.7469331241338-1.14693312413380
141.92.97572818894263-1.07572818894263
15-0.10.82784439459281-0.92784439459281
16-5.7-1.56283600193754-4.13716399806246
17-5.6-8.709380279884423.10938027988442
18-6.4-7.691294195027351.29129419502735
19-7.7-7.866121532009470.166121532009465
20-8-9.040664406931711.04066440693171
21-11.9-8.95504448686306-2.94495551313694
22-15.4-13.8699738036022-1.53002619639780
23-15.5-18.07337636244242.5733763624424
24-13.4-17.31786363362383.91786363362379
25-10.9-13.66767529487462.76767529487457
26-10.8-9.9664870740466-0.833512925953393
27-7.3-10.02879260245622.72879260245624
28-6.5-5.58175349841656-0.918246501583441
29-5.1-4.97673829226389-0.123261707736109
30-5.3-3.66781174780649-1.63218825219351
31-6.8-4.46568573723669-2.33431426276331
32-8.4-6.89430678647731-1.50569321352269
33-8.4-9.158037425626580.758037425626584
34-9.7-8.95933140696588-0.740668593034119
35-8.8-10.48951540520731.68951540520733
36-9.6-9.01450959685643-0.58549040314357
37-11.5-9.94138234519615-1.55861765480385
38-11-12.43594124117381.43594124117376
39-14.9-11.4941780654694-3.40582193453063
40-16.2-16.55619465397950.356194653979514
41-14.4-17.8991518150143.499151815014
42-17.3-14.8127599855701-2.48724001442994
43-15.7-18.43756294884542.73756294884538
44-12.6-15.97089626550973.37089626550967
45-9.4-11.51068105493062.11068105493059
46-8.1-7.37527899241413-0.724721007585874
47-5.4-6.231342344470720.831342344470715
48-4.6-3.26660707238492-1.33339292761508
49-4.9-2.90794211827162-1.99205788172838
50-4-3.99740371559970-0.00259628440030468
51-3.1-3.198989936075430.098989936075426
52-1.3-2.263238580490440.963238580490443
530-0.1090761889799060.109076188979906
54-0.41.27912834867521-1.67912834867521
5530.2759776516999322.72402234830007
560.44.57856442083763-4.17856442083763
571.20.6015169698384640.598483030161536
580.61.40734469632935-0.807344696329346
59-1.30.544930306540998-1.84493030654100
60-3.2-2.06462188185782-1.13537811814218
61-1.8-4.46939301629992.66939301629990
62-3.6-2.15913665787112-1.44086334212888
63-4.2-4.346564124057810.146564124057806
64-6.9-4.96623358922543-1.93376641077457
65-8-8.359793168938310.35979316893831
66-7.5-9.427072987880981.92707298788098
67-8.2-8.210356902998610.0103569029986090
68-7.6-8.809240805648561.20924080564856
69-3.7-7.770383919886834.07038391988683
70-1.7-2.333829485320130.633829485320131
71-0.70.101573973465097-0.801573973465097
720.20.843037208921463-0.643037208921463
730.61.46944675196572-0.869446751965718
742.21.521795644950350.678204355049652
753.33.32370843856912-0.0237084385691246
765.34.449379488403140.850620511596856
775.56.75652022360631-1.25652022360631
786.36.54402449931889-0.244024499318891
797.77.192085481983250.507914518016746
806.58.763868808836-2.26386880883600
815.56.76890809552944-1.26890809552944
826.95.194568023821441.70543197617856
835.77.14865503600485-1.44865503600485
846.95.509700806302111.39029919369789
856.17.14047501148008-1.04047501148008
864.86.03355907168681-1.23355907168681
873.74.23384229541535-0.533842295415354
885.82.878008272888382.92199172711162
896.86.010219789839680.789780210160322
908.57.44413287371211.05586712628790
917.29.56677279690345-2.36677279690345
9257.4621950730862-2.46219507308620
934.74.25010539178040.4498946082196
942.33.98878824247629-1.68878824247629
952.40.9993551940550631.40064480594494
960.11.52174725173442-1.42174725173442
971.9-1.222852083529673.12285208352967
981.71.637308843373460.0626911566265382
9921.617809972241680.382190027758315
100-1.92.05951610334665-3.95951610334665
1010.5-3.25644608126393.7564460812639
102-1.30.305168040868629-1.60516804086863
103-3.3-1.88689630212747-1.41310369787253
104-2.8-4.480225692986121.68022569298612
105-8-3.44256084200316-4.55743915799684
106-13.9-10.2096812468672-3.69031875313278
107-21.9-17.6776287740778-4.22237122592221
108-28.8-27.3946285263889-1.40537147361111
109-27.6-35.01738452112697.41738452112689
110-31.4-31.1996856557017-0.200314344298256
111-31.8-34.69754706181452.89754706181455
112-29.4-34.05734551591934.65734551591927
113-27.6-29.82272674808422.22272674808417
114-23.6-26.98171411098943.38171411098943
115-22.8-21.6435887389409-1.15641126105912
116-18.2-21.09191740141702.89191740141703
117-17.8-15.50206159028-2.29793840972
118-14.2-15.78892466773681.58892466773679
119-8.8-11.72905988235332.92905988235334
120-7.9-5.18703731288784-2.71296268711216
121-7-5.12246458488257-1.87753541511743
122-7-5.04011357293581-1.95988642706419
123-3.6-5.845405257852452.24540525785245
124-2.4-1.73049557530838-0.669504424691619
125-4.9-0.659736959053438-4.24026304094656
126-7.7-4.73060110419315-2.96939889580685
127-6.5-8.821200076710582.32120007671058
128-5.1-6.929819567635881.82981956763588
129-3.4-4.749260029743881.34926002974388
130-2.8-2.46772300498234-0.332276995017664
1310.8-1.920000062969762.72000006296976

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 9.2 & 9 & 0.199999999999999 \tabularnewline
4 & 8.6 & 10.5724973255986 & -1.97249732559855 \tabularnewline
5 & 7.4 & 9.26759805763575 & -1.86759805763575 \tabularnewline
6 & 8.6 & 7.29096189470873 & 1.30903810529127 \tabularnewline
7 & 6.2 & 8.87111370760506 & -2.67111370760506 \tabularnewline
8 & 6 & 5.56900747665307 & 0.430992523346931 \tabularnewline
9 & 6.6 & 5.39028334023191 & 1.20971665976809 \tabularnewline
10 & 5.1 & 6.4505645665793 & -1.35056456657931 \tabularnewline
11 & 4.7 & 4.52212170542846 & 0.177878294571544 \tabularnewline
12 & 5 & 4.11836538977327 & 0.881634610226726 \tabularnewline
13 & 3.6 & 4.7469331241338 & -1.14693312413380 \tabularnewline
14 & 1.9 & 2.97572818894263 & -1.07572818894263 \tabularnewline
15 & -0.1 & 0.82784439459281 & -0.92784439459281 \tabularnewline
16 & -5.7 & -1.56283600193754 & -4.13716399806246 \tabularnewline
17 & -5.6 & -8.70938027988442 & 3.10938027988442 \tabularnewline
18 & -6.4 & -7.69129419502735 & 1.29129419502735 \tabularnewline
19 & -7.7 & -7.86612153200947 & 0.166121532009465 \tabularnewline
20 & -8 & -9.04066440693171 & 1.04066440693171 \tabularnewline
21 & -11.9 & -8.95504448686306 & -2.94495551313694 \tabularnewline
22 & -15.4 & -13.8699738036022 & -1.53002619639780 \tabularnewline
23 & -15.5 & -18.0733763624424 & 2.5733763624424 \tabularnewline
24 & -13.4 & -17.3178636336238 & 3.91786363362379 \tabularnewline
25 & -10.9 & -13.6676752948746 & 2.76767529487457 \tabularnewline
26 & -10.8 & -9.9664870740466 & -0.833512925953393 \tabularnewline
27 & -7.3 & -10.0287926024562 & 2.72879260245624 \tabularnewline
28 & -6.5 & -5.58175349841656 & -0.918246501583441 \tabularnewline
29 & -5.1 & -4.97673829226389 & -0.123261707736109 \tabularnewline
30 & -5.3 & -3.66781174780649 & -1.63218825219351 \tabularnewline
31 & -6.8 & -4.46568573723669 & -2.33431426276331 \tabularnewline
32 & -8.4 & -6.89430678647731 & -1.50569321352269 \tabularnewline
33 & -8.4 & -9.15803742562658 & 0.758037425626584 \tabularnewline
34 & -9.7 & -8.95933140696588 & -0.740668593034119 \tabularnewline
35 & -8.8 & -10.4895154052073 & 1.68951540520733 \tabularnewline
36 & -9.6 & -9.01450959685643 & -0.58549040314357 \tabularnewline
37 & -11.5 & -9.94138234519615 & -1.55861765480385 \tabularnewline
38 & -11 & -12.4359412411738 & 1.43594124117376 \tabularnewline
39 & -14.9 & -11.4941780654694 & -3.40582193453063 \tabularnewline
40 & -16.2 & -16.5561946539795 & 0.356194653979514 \tabularnewline
41 & -14.4 & -17.899151815014 & 3.499151815014 \tabularnewline
42 & -17.3 & -14.8127599855701 & -2.48724001442994 \tabularnewline
43 & -15.7 & -18.4375629488454 & 2.73756294884538 \tabularnewline
44 & -12.6 & -15.9708962655097 & 3.37089626550967 \tabularnewline
45 & -9.4 & -11.5106810549306 & 2.11068105493059 \tabularnewline
46 & -8.1 & -7.37527899241413 & -0.724721007585874 \tabularnewline
47 & -5.4 & -6.23134234447072 & 0.831342344470715 \tabularnewline
48 & -4.6 & -3.26660707238492 & -1.33339292761508 \tabularnewline
49 & -4.9 & -2.90794211827162 & -1.99205788172838 \tabularnewline
50 & -4 & -3.99740371559970 & -0.00259628440030468 \tabularnewline
51 & -3.1 & -3.19898993607543 & 0.098989936075426 \tabularnewline
52 & -1.3 & -2.26323858049044 & 0.963238580490443 \tabularnewline
53 & 0 & -0.109076188979906 & 0.109076188979906 \tabularnewline
54 & -0.4 & 1.27912834867521 & -1.67912834867521 \tabularnewline
55 & 3 & 0.275977651699932 & 2.72402234830007 \tabularnewline
56 & 0.4 & 4.57856442083763 & -4.17856442083763 \tabularnewline
57 & 1.2 & 0.601516969838464 & 0.598483030161536 \tabularnewline
58 & 0.6 & 1.40734469632935 & -0.807344696329346 \tabularnewline
59 & -1.3 & 0.544930306540998 & -1.84493030654100 \tabularnewline
60 & -3.2 & -2.06462188185782 & -1.13537811814218 \tabularnewline
61 & -1.8 & -4.4693930162999 & 2.66939301629990 \tabularnewline
62 & -3.6 & -2.15913665787112 & -1.44086334212888 \tabularnewline
63 & -4.2 & -4.34656412405781 & 0.146564124057806 \tabularnewline
64 & -6.9 & -4.96623358922543 & -1.93376641077457 \tabularnewline
65 & -8 & -8.35979316893831 & 0.35979316893831 \tabularnewline
66 & -7.5 & -9.42707298788098 & 1.92707298788098 \tabularnewline
67 & -8.2 & -8.21035690299861 & 0.0103569029986090 \tabularnewline
68 & -7.6 & -8.80924080564856 & 1.20924080564856 \tabularnewline
69 & -3.7 & -7.77038391988683 & 4.07038391988683 \tabularnewline
70 & -1.7 & -2.33382948532013 & 0.633829485320131 \tabularnewline
71 & -0.7 & 0.101573973465097 & -0.801573973465097 \tabularnewline
72 & 0.2 & 0.843037208921463 & -0.643037208921463 \tabularnewline
73 & 0.6 & 1.46944675196572 & -0.869446751965718 \tabularnewline
74 & 2.2 & 1.52179564495035 & 0.678204355049652 \tabularnewline
75 & 3.3 & 3.32370843856912 & -0.0237084385691246 \tabularnewline
76 & 5.3 & 4.44937948840314 & 0.850620511596856 \tabularnewline
77 & 5.5 & 6.75652022360631 & -1.25652022360631 \tabularnewline
78 & 6.3 & 6.54402449931889 & -0.244024499318891 \tabularnewline
79 & 7.7 & 7.19208548198325 & 0.507914518016746 \tabularnewline
80 & 6.5 & 8.763868808836 & -2.26386880883600 \tabularnewline
81 & 5.5 & 6.76890809552944 & -1.26890809552944 \tabularnewline
82 & 6.9 & 5.19456802382144 & 1.70543197617856 \tabularnewline
83 & 5.7 & 7.14865503600485 & -1.44865503600485 \tabularnewline
84 & 6.9 & 5.50970080630211 & 1.39029919369789 \tabularnewline
85 & 6.1 & 7.14047501148008 & -1.04047501148008 \tabularnewline
86 & 4.8 & 6.03355907168681 & -1.23355907168681 \tabularnewline
87 & 3.7 & 4.23384229541535 & -0.533842295415354 \tabularnewline
88 & 5.8 & 2.87800827288838 & 2.92199172711162 \tabularnewline
89 & 6.8 & 6.01021978983968 & 0.789780210160322 \tabularnewline
90 & 8.5 & 7.4441328737121 & 1.05586712628790 \tabularnewline
91 & 7.2 & 9.56677279690345 & -2.36677279690345 \tabularnewline
92 & 5 & 7.4621950730862 & -2.46219507308620 \tabularnewline
93 & 4.7 & 4.2501053917804 & 0.4498946082196 \tabularnewline
94 & 2.3 & 3.98878824247629 & -1.68878824247629 \tabularnewline
95 & 2.4 & 0.999355194055063 & 1.40064480594494 \tabularnewline
96 & 0.1 & 1.52174725173442 & -1.42174725173442 \tabularnewline
97 & 1.9 & -1.22285208352967 & 3.12285208352967 \tabularnewline
98 & 1.7 & 1.63730884337346 & 0.0626911566265382 \tabularnewline
99 & 2 & 1.61780997224168 & 0.382190027758315 \tabularnewline
100 & -1.9 & 2.05951610334665 & -3.95951610334665 \tabularnewline
101 & 0.5 & -3.2564460812639 & 3.7564460812639 \tabularnewline
102 & -1.3 & 0.305168040868629 & -1.60516804086863 \tabularnewline
103 & -3.3 & -1.88689630212747 & -1.41310369787253 \tabularnewline
104 & -2.8 & -4.48022569298612 & 1.68022569298612 \tabularnewline
105 & -8 & -3.44256084200316 & -4.55743915799684 \tabularnewline
106 & -13.9 & -10.2096812468672 & -3.69031875313278 \tabularnewline
107 & -21.9 & -17.6776287740778 & -4.22237122592221 \tabularnewline
108 & -28.8 & -27.3946285263889 & -1.40537147361111 \tabularnewline
109 & -27.6 & -35.0173845211269 & 7.41738452112689 \tabularnewline
110 & -31.4 & -31.1996856557017 & -0.200314344298256 \tabularnewline
111 & -31.8 & -34.6975470618145 & 2.89754706181455 \tabularnewline
112 & -29.4 & -34.0573455159193 & 4.65734551591927 \tabularnewline
113 & -27.6 & -29.8227267480842 & 2.22272674808417 \tabularnewline
114 & -23.6 & -26.9817141109894 & 3.38171411098943 \tabularnewline
115 & -22.8 & -21.6435887389409 & -1.15641126105912 \tabularnewline
116 & -18.2 & -21.0919174014170 & 2.89191740141703 \tabularnewline
117 & -17.8 & -15.50206159028 & -2.29793840972 \tabularnewline
118 & -14.2 & -15.7889246677368 & 1.58892466773679 \tabularnewline
119 & -8.8 & -11.7290598823533 & 2.92905988235334 \tabularnewline
120 & -7.9 & -5.18703731288784 & -2.71296268711216 \tabularnewline
121 & -7 & -5.12246458488257 & -1.87753541511743 \tabularnewline
122 & -7 & -5.04011357293581 & -1.95988642706419 \tabularnewline
123 & -3.6 & -5.84540525785245 & 2.24540525785245 \tabularnewline
124 & -2.4 & -1.73049557530838 & -0.669504424691619 \tabularnewline
125 & -4.9 & -0.659736959053438 & -4.24026304094656 \tabularnewline
126 & -7.7 & -4.73060110419315 & -2.96939889580685 \tabularnewline
127 & -6.5 & -8.82120007671058 & 2.32120007671058 \tabularnewline
128 & -5.1 & -6.92981956763588 & 1.82981956763588 \tabularnewline
129 & -3.4 & -4.74926002974388 & 1.34926002974388 \tabularnewline
130 & -2.8 & -2.46772300498234 & -0.332276995017664 \tabularnewline
131 & 0.8 & -1.92000006296976 & 2.72000006296976 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114889&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]9.2[/C][C]9[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]4[/C][C]8.6[/C][C]10.5724973255986[/C][C]-1.97249732559855[/C][/ROW]
[ROW][C]5[/C][C]7.4[/C][C]9.26759805763575[/C][C]-1.86759805763575[/C][/ROW]
[ROW][C]6[/C][C]8.6[/C][C]7.29096189470873[/C][C]1.30903810529127[/C][/ROW]
[ROW][C]7[/C][C]6.2[/C][C]8.87111370760506[/C][C]-2.67111370760506[/C][/ROW]
[ROW][C]8[/C][C]6[/C][C]5.56900747665307[/C][C]0.430992523346931[/C][/ROW]
[ROW][C]9[/C][C]6.6[/C][C]5.39028334023191[/C][C]1.20971665976809[/C][/ROW]
[ROW][C]10[/C][C]5.1[/C][C]6.4505645665793[/C][C]-1.35056456657931[/C][/ROW]
[ROW][C]11[/C][C]4.7[/C][C]4.52212170542846[/C][C]0.177878294571544[/C][/ROW]
[ROW][C]12[/C][C]5[/C][C]4.11836538977327[/C][C]0.881634610226726[/C][/ROW]
[ROW][C]13[/C][C]3.6[/C][C]4.7469331241338[/C][C]-1.14693312413380[/C][/ROW]
[ROW][C]14[/C][C]1.9[/C][C]2.97572818894263[/C][C]-1.07572818894263[/C][/ROW]
[ROW][C]15[/C][C]-0.1[/C][C]0.82784439459281[/C][C]-0.92784439459281[/C][/ROW]
[ROW][C]16[/C][C]-5.7[/C][C]-1.56283600193754[/C][C]-4.13716399806246[/C][/ROW]
[ROW][C]17[/C][C]-5.6[/C][C]-8.70938027988442[/C][C]3.10938027988442[/C][/ROW]
[ROW][C]18[/C][C]-6.4[/C][C]-7.69129419502735[/C][C]1.29129419502735[/C][/ROW]
[ROW][C]19[/C][C]-7.7[/C][C]-7.86612153200947[/C][C]0.166121532009465[/C][/ROW]
[ROW][C]20[/C][C]-8[/C][C]-9.04066440693171[/C][C]1.04066440693171[/C][/ROW]
[ROW][C]21[/C][C]-11.9[/C][C]-8.95504448686306[/C][C]-2.94495551313694[/C][/ROW]
[ROW][C]22[/C][C]-15.4[/C][C]-13.8699738036022[/C][C]-1.53002619639780[/C][/ROW]
[ROW][C]23[/C][C]-15.5[/C][C]-18.0733763624424[/C][C]2.5733763624424[/C][/ROW]
[ROW][C]24[/C][C]-13.4[/C][C]-17.3178636336238[/C][C]3.91786363362379[/C][/ROW]
[ROW][C]25[/C][C]-10.9[/C][C]-13.6676752948746[/C][C]2.76767529487457[/C][/ROW]
[ROW][C]26[/C][C]-10.8[/C][C]-9.9664870740466[/C][C]-0.833512925953393[/C][/ROW]
[ROW][C]27[/C][C]-7.3[/C][C]-10.0287926024562[/C][C]2.72879260245624[/C][/ROW]
[ROW][C]28[/C][C]-6.5[/C][C]-5.58175349841656[/C][C]-0.918246501583441[/C][/ROW]
[ROW][C]29[/C][C]-5.1[/C][C]-4.97673829226389[/C][C]-0.123261707736109[/C][/ROW]
[ROW][C]30[/C][C]-5.3[/C][C]-3.66781174780649[/C][C]-1.63218825219351[/C][/ROW]
[ROW][C]31[/C][C]-6.8[/C][C]-4.46568573723669[/C][C]-2.33431426276331[/C][/ROW]
[ROW][C]32[/C][C]-8.4[/C][C]-6.89430678647731[/C][C]-1.50569321352269[/C][/ROW]
[ROW][C]33[/C][C]-8.4[/C][C]-9.15803742562658[/C][C]0.758037425626584[/C][/ROW]
[ROW][C]34[/C][C]-9.7[/C][C]-8.95933140696588[/C][C]-0.740668593034119[/C][/ROW]
[ROW][C]35[/C][C]-8.8[/C][C]-10.4895154052073[/C][C]1.68951540520733[/C][/ROW]
[ROW][C]36[/C][C]-9.6[/C][C]-9.01450959685643[/C][C]-0.58549040314357[/C][/ROW]
[ROW][C]37[/C][C]-11.5[/C][C]-9.94138234519615[/C][C]-1.55861765480385[/C][/ROW]
[ROW][C]38[/C][C]-11[/C][C]-12.4359412411738[/C][C]1.43594124117376[/C][/ROW]
[ROW][C]39[/C][C]-14.9[/C][C]-11.4941780654694[/C][C]-3.40582193453063[/C][/ROW]
[ROW][C]40[/C][C]-16.2[/C][C]-16.5561946539795[/C][C]0.356194653979514[/C][/ROW]
[ROW][C]41[/C][C]-14.4[/C][C]-17.899151815014[/C][C]3.499151815014[/C][/ROW]
[ROW][C]42[/C][C]-17.3[/C][C]-14.8127599855701[/C][C]-2.48724001442994[/C][/ROW]
[ROW][C]43[/C][C]-15.7[/C][C]-18.4375629488454[/C][C]2.73756294884538[/C][/ROW]
[ROW][C]44[/C][C]-12.6[/C][C]-15.9708962655097[/C][C]3.37089626550967[/C][/ROW]
[ROW][C]45[/C][C]-9.4[/C][C]-11.5106810549306[/C][C]2.11068105493059[/C][/ROW]
[ROW][C]46[/C][C]-8.1[/C][C]-7.37527899241413[/C][C]-0.724721007585874[/C][/ROW]
[ROW][C]47[/C][C]-5.4[/C][C]-6.23134234447072[/C][C]0.831342344470715[/C][/ROW]
[ROW][C]48[/C][C]-4.6[/C][C]-3.26660707238492[/C][C]-1.33339292761508[/C][/ROW]
[ROW][C]49[/C][C]-4.9[/C][C]-2.90794211827162[/C][C]-1.99205788172838[/C][/ROW]
[ROW][C]50[/C][C]-4[/C][C]-3.99740371559970[/C][C]-0.00259628440030468[/C][/ROW]
[ROW][C]51[/C][C]-3.1[/C][C]-3.19898993607543[/C][C]0.098989936075426[/C][/ROW]
[ROW][C]52[/C][C]-1.3[/C][C]-2.26323858049044[/C][C]0.963238580490443[/C][/ROW]
[ROW][C]53[/C][C]0[/C][C]-0.109076188979906[/C][C]0.109076188979906[/C][/ROW]
[ROW][C]54[/C][C]-0.4[/C][C]1.27912834867521[/C][C]-1.67912834867521[/C][/ROW]
[ROW][C]55[/C][C]3[/C][C]0.275977651699932[/C][C]2.72402234830007[/C][/ROW]
[ROW][C]56[/C][C]0.4[/C][C]4.57856442083763[/C][C]-4.17856442083763[/C][/ROW]
[ROW][C]57[/C][C]1.2[/C][C]0.601516969838464[/C][C]0.598483030161536[/C][/ROW]
[ROW][C]58[/C][C]0.6[/C][C]1.40734469632935[/C][C]-0.807344696329346[/C][/ROW]
[ROW][C]59[/C][C]-1.3[/C][C]0.544930306540998[/C][C]-1.84493030654100[/C][/ROW]
[ROW][C]60[/C][C]-3.2[/C][C]-2.06462188185782[/C][C]-1.13537811814218[/C][/ROW]
[ROW][C]61[/C][C]-1.8[/C][C]-4.4693930162999[/C][C]2.66939301629990[/C][/ROW]
[ROW][C]62[/C][C]-3.6[/C][C]-2.15913665787112[/C][C]-1.44086334212888[/C][/ROW]
[ROW][C]63[/C][C]-4.2[/C][C]-4.34656412405781[/C][C]0.146564124057806[/C][/ROW]
[ROW][C]64[/C][C]-6.9[/C][C]-4.96623358922543[/C][C]-1.93376641077457[/C][/ROW]
[ROW][C]65[/C][C]-8[/C][C]-8.35979316893831[/C][C]0.35979316893831[/C][/ROW]
[ROW][C]66[/C][C]-7.5[/C][C]-9.42707298788098[/C][C]1.92707298788098[/C][/ROW]
[ROW][C]67[/C][C]-8.2[/C][C]-8.21035690299861[/C][C]0.0103569029986090[/C][/ROW]
[ROW][C]68[/C][C]-7.6[/C][C]-8.80924080564856[/C][C]1.20924080564856[/C][/ROW]
[ROW][C]69[/C][C]-3.7[/C][C]-7.77038391988683[/C][C]4.07038391988683[/C][/ROW]
[ROW][C]70[/C][C]-1.7[/C][C]-2.33382948532013[/C][C]0.633829485320131[/C][/ROW]
[ROW][C]71[/C][C]-0.7[/C][C]0.101573973465097[/C][C]-0.801573973465097[/C][/ROW]
[ROW][C]72[/C][C]0.2[/C][C]0.843037208921463[/C][C]-0.643037208921463[/C][/ROW]
[ROW][C]73[/C][C]0.6[/C][C]1.46944675196572[/C][C]-0.869446751965718[/C][/ROW]
[ROW][C]74[/C][C]2.2[/C][C]1.52179564495035[/C][C]0.678204355049652[/C][/ROW]
[ROW][C]75[/C][C]3.3[/C][C]3.32370843856912[/C][C]-0.0237084385691246[/C][/ROW]
[ROW][C]76[/C][C]5.3[/C][C]4.44937948840314[/C][C]0.850620511596856[/C][/ROW]
[ROW][C]77[/C][C]5.5[/C][C]6.75652022360631[/C][C]-1.25652022360631[/C][/ROW]
[ROW][C]78[/C][C]6.3[/C][C]6.54402449931889[/C][C]-0.244024499318891[/C][/ROW]
[ROW][C]79[/C][C]7.7[/C][C]7.19208548198325[/C][C]0.507914518016746[/C][/ROW]
[ROW][C]80[/C][C]6.5[/C][C]8.763868808836[/C][C]-2.26386880883600[/C][/ROW]
[ROW][C]81[/C][C]5.5[/C][C]6.76890809552944[/C][C]-1.26890809552944[/C][/ROW]
[ROW][C]82[/C][C]6.9[/C][C]5.19456802382144[/C][C]1.70543197617856[/C][/ROW]
[ROW][C]83[/C][C]5.7[/C][C]7.14865503600485[/C][C]-1.44865503600485[/C][/ROW]
[ROW][C]84[/C][C]6.9[/C][C]5.50970080630211[/C][C]1.39029919369789[/C][/ROW]
[ROW][C]85[/C][C]6.1[/C][C]7.14047501148008[/C][C]-1.04047501148008[/C][/ROW]
[ROW][C]86[/C][C]4.8[/C][C]6.03355907168681[/C][C]-1.23355907168681[/C][/ROW]
[ROW][C]87[/C][C]3.7[/C][C]4.23384229541535[/C][C]-0.533842295415354[/C][/ROW]
[ROW][C]88[/C][C]5.8[/C][C]2.87800827288838[/C][C]2.92199172711162[/C][/ROW]
[ROW][C]89[/C][C]6.8[/C][C]6.01021978983968[/C][C]0.789780210160322[/C][/ROW]
[ROW][C]90[/C][C]8.5[/C][C]7.4441328737121[/C][C]1.05586712628790[/C][/ROW]
[ROW][C]91[/C][C]7.2[/C][C]9.56677279690345[/C][C]-2.36677279690345[/C][/ROW]
[ROW][C]92[/C][C]5[/C][C]7.4621950730862[/C][C]-2.46219507308620[/C][/ROW]
[ROW][C]93[/C][C]4.7[/C][C]4.2501053917804[/C][C]0.4498946082196[/C][/ROW]
[ROW][C]94[/C][C]2.3[/C][C]3.98878824247629[/C][C]-1.68878824247629[/C][/ROW]
[ROW][C]95[/C][C]2.4[/C][C]0.999355194055063[/C][C]1.40064480594494[/C][/ROW]
[ROW][C]96[/C][C]0.1[/C][C]1.52174725173442[/C][C]-1.42174725173442[/C][/ROW]
[ROW][C]97[/C][C]1.9[/C][C]-1.22285208352967[/C][C]3.12285208352967[/C][/ROW]
[ROW][C]98[/C][C]1.7[/C][C]1.63730884337346[/C][C]0.0626911566265382[/C][/ROW]
[ROW][C]99[/C][C]2[/C][C]1.61780997224168[/C][C]0.382190027758315[/C][/ROW]
[ROW][C]100[/C][C]-1.9[/C][C]2.05951610334665[/C][C]-3.95951610334665[/C][/ROW]
[ROW][C]101[/C][C]0.5[/C][C]-3.2564460812639[/C][C]3.7564460812639[/C][/ROW]
[ROW][C]102[/C][C]-1.3[/C][C]0.305168040868629[/C][C]-1.60516804086863[/C][/ROW]
[ROW][C]103[/C][C]-3.3[/C][C]-1.88689630212747[/C][C]-1.41310369787253[/C][/ROW]
[ROW][C]104[/C][C]-2.8[/C][C]-4.48022569298612[/C][C]1.68022569298612[/C][/ROW]
[ROW][C]105[/C][C]-8[/C][C]-3.44256084200316[/C][C]-4.55743915799684[/C][/ROW]
[ROW][C]106[/C][C]-13.9[/C][C]-10.2096812468672[/C][C]-3.69031875313278[/C][/ROW]
[ROW][C]107[/C][C]-21.9[/C][C]-17.6776287740778[/C][C]-4.22237122592221[/C][/ROW]
[ROW][C]108[/C][C]-28.8[/C][C]-27.3946285263889[/C][C]-1.40537147361111[/C][/ROW]
[ROW][C]109[/C][C]-27.6[/C][C]-35.0173845211269[/C][C]7.41738452112689[/C][/ROW]
[ROW][C]110[/C][C]-31.4[/C][C]-31.1996856557017[/C][C]-0.200314344298256[/C][/ROW]
[ROW][C]111[/C][C]-31.8[/C][C]-34.6975470618145[/C][C]2.89754706181455[/C][/ROW]
[ROW][C]112[/C][C]-29.4[/C][C]-34.0573455159193[/C][C]4.65734551591927[/C][/ROW]
[ROW][C]113[/C][C]-27.6[/C][C]-29.8227267480842[/C][C]2.22272674808417[/C][/ROW]
[ROW][C]114[/C][C]-23.6[/C][C]-26.9817141109894[/C][C]3.38171411098943[/C][/ROW]
[ROW][C]115[/C][C]-22.8[/C][C]-21.6435887389409[/C][C]-1.15641126105912[/C][/ROW]
[ROW][C]116[/C][C]-18.2[/C][C]-21.0919174014170[/C][C]2.89191740141703[/C][/ROW]
[ROW][C]117[/C][C]-17.8[/C][C]-15.50206159028[/C][C]-2.29793840972[/C][/ROW]
[ROW][C]118[/C][C]-14.2[/C][C]-15.7889246677368[/C][C]1.58892466773679[/C][/ROW]
[ROW][C]119[/C][C]-8.8[/C][C]-11.7290598823533[/C][C]2.92905988235334[/C][/ROW]
[ROW][C]120[/C][C]-7.9[/C][C]-5.18703731288784[/C][C]-2.71296268711216[/C][/ROW]
[ROW][C]121[/C][C]-7[/C][C]-5.12246458488257[/C][C]-1.87753541511743[/C][/ROW]
[ROW][C]122[/C][C]-7[/C][C]-5.04011357293581[/C][C]-1.95988642706419[/C][/ROW]
[ROW][C]123[/C][C]-3.6[/C][C]-5.84540525785245[/C][C]2.24540525785245[/C][/ROW]
[ROW][C]124[/C][C]-2.4[/C][C]-1.73049557530838[/C][C]-0.669504424691619[/C][/ROW]
[ROW][C]125[/C][C]-4.9[/C][C]-0.659736959053438[/C][C]-4.24026304094656[/C][/ROW]
[ROW][C]126[/C][C]-7.7[/C][C]-4.73060110419315[/C][C]-2.96939889580685[/C][/ROW]
[ROW][C]127[/C][C]-6.5[/C][C]-8.82120007671058[/C][C]2.32120007671058[/C][/ROW]
[ROW][C]128[/C][C]-5.1[/C][C]-6.92981956763588[/C][C]1.82981956763588[/C][/ROW]
[ROW][C]129[/C][C]-3.4[/C][C]-4.74926002974388[/C][C]1.34926002974388[/C][/ROW]
[ROW][C]130[/C][C]-2.8[/C][C]-2.46772300498234[/C][C]-0.332276995017664[/C][/ROW]
[ROW][C]131[/C][C]0.8[/C][C]-1.92000006296976[/C][C]2.72000006296976[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114889&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114889&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
39.290.199999999999999
48.610.5724973255986-1.97249732559855
57.49.26759805763575-1.86759805763575
68.67.290961894708731.30903810529127
76.28.87111370760506-2.67111370760506
865.569007476653070.430992523346931
96.65.390283340231911.20971665976809
105.16.4505645665793-1.35056456657931
114.74.522121705428460.177878294571544
1254.118365389773270.881634610226726
133.64.7469331241338-1.14693312413380
141.92.97572818894263-1.07572818894263
15-0.10.82784439459281-0.92784439459281
16-5.7-1.56283600193754-4.13716399806246
17-5.6-8.709380279884423.10938027988442
18-6.4-7.691294195027351.29129419502735
19-7.7-7.866121532009470.166121532009465
20-8-9.040664406931711.04066440693171
21-11.9-8.95504448686306-2.94495551313694
22-15.4-13.8699738036022-1.53002619639780
23-15.5-18.07337636244242.5733763624424
24-13.4-17.31786363362383.91786363362379
25-10.9-13.66767529487462.76767529487457
26-10.8-9.9664870740466-0.833512925953393
27-7.3-10.02879260245622.72879260245624
28-6.5-5.58175349841656-0.918246501583441
29-5.1-4.97673829226389-0.123261707736109
30-5.3-3.66781174780649-1.63218825219351
31-6.8-4.46568573723669-2.33431426276331
32-8.4-6.89430678647731-1.50569321352269
33-8.4-9.158037425626580.758037425626584
34-9.7-8.95933140696588-0.740668593034119
35-8.8-10.48951540520731.68951540520733
36-9.6-9.01450959685643-0.58549040314357
37-11.5-9.94138234519615-1.55861765480385
38-11-12.43594124117381.43594124117376
39-14.9-11.4941780654694-3.40582193453063
40-16.2-16.55619465397950.356194653979514
41-14.4-17.8991518150143.499151815014
42-17.3-14.8127599855701-2.48724001442994
43-15.7-18.43756294884542.73756294884538
44-12.6-15.97089626550973.37089626550967
45-9.4-11.51068105493062.11068105493059
46-8.1-7.37527899241413-0.724721007585874
47-5.4-6.231342344470720.831342344470715
48-4.6-3.26660707238492-1.33339292761508
49-4.9-2.90794211827162-1.99205788172838
50-4-3.99740371559970-0.00259628440030468
51-3.1-3.198989936075430.098989936075426
52-1.3-2.263238580490440.963238580490443
530-0.1090761889799060.109076188979906
54-0.41.27912834867521-1.67912834867521
5530.2759776516999322.72402234830007
560.44.57856442083763-4.17856442083763
571.20.6015169698384640.598483030161536
580.61.40734469632935-0.807344696329346
59-1.30.544930306540998-1.84493030654100
60-3.2-2.06462188185782-1.13537811814218
61-1.8-4.46939301629992.66939301629990
62-3.6-2.15913665787112-1.44086334212888
63-4.2-4.346564124057810.146564124057806
64-6.9-4.96623358922543-1.93376641077457
65-8-8.359793168938310.35979316893831
66-7.5-9.427072987880981.92707298788098
67-8.2-8.210356902998610.0103569029986090
68-7.6-8.809240805648561.20924080564856
69-3.7-7.770383919886834.07038391988683
70-1.7-2.333829485320130.633829485320131
71-0.70.101573973465097-0.801573973465097
720.20.843037208921463-0.643037208921463
730.61.46944675196572-0.869446751965718
742.21.521795644950350.678204355049652
753.33.32370843856912-0.0237084385691246
765.34.449379488403140.850620511596856
775.56.75652022360631-1.25652022360631
786.36.54402449931889-0.244024499318891
797.77.192085481983250.507914518016746
806.58.763868808836-2.26386880883600
815.56.76890809552944-1.26890809552944
826.95.194568023821441.70543197617856
835.77.14865503600485-1.44865503600485
846.95.509700806302111.39029919369789
856.17.14047501148008-1.04047501148008
864.86.03355907168681-1.23355907168681
873.74.23384229541535-0.533842295415354
885.82.878008272888382.92199172711162
896.86.010219789839680.789780210160322
908.57.44413287371211.05586712628790
917.29.56677279690345-2.36677279690345
9257.4621950730862-2.46219507308620
934.74.25010539178040.4498946082196
942.33.98878824247629-1.68878824247629
952.40.9993551940550631.40064480594494
960.11.52174725173442-1.42174725173442
971.9-1.222852083529673.12285208352967
981.71.637308843373460.0626911566265382
9921.617809972241680.382190027758315
100-1.92.05951610334665-3.95951610334665
1010.5-3.25644608126393.7564460812639
102-1.30.305168040868629-1.60516804086863
103-3.3-1.88689630212747-1.41310369787253
104-2.8-4.480225692986121.68022569298612
105-8-3.44256084200316-4.55743915799684
106-13.9-10.2096812468672-3.69031875313278
107-21.9-17.6776287740778-4.22237122592221
108-28.8-27.3946285263889-1.40537147361111
109-27.6-35.01738452112697.41738452112689
110-31.4-31.1996856557017-0.200314344298256
111-31.8-34.69754706181452.89754706181455
112-29.4-34.05734551591934.65734551591927
113-27.6-29.82272674808422.22272674808417
114-23.6-26.98171411098943.38171411098943
115-22.8-21.6435887389409-1.15641126105912
116-18.2-21.09191740141702.89191740141703
117-17.8-15.50206159028-2.29793840972
118-14.2-15.78892466773681.58892466773679
119-8.8-11.72905988235332.92905988235334
120-7.9-5.18703731288784-2.71296268711216
121-7-5.12246458488257-1.87753541511743
122-7-5.04011357293581-1.95988642706419
123-3.6-5.845405257852452.24540525785245
124-2.4-1.73049557530838-0.669504424691619
125-4.9-0.659736959053438-4.24026304094656
126-7.7-4.73060110419315-2.96939889580685
127-6.5-8.821200076710582.32120007671058
128-5.1-6.929819567635881.82981956763588
129-3.4-4.749260029743881.34926002974388
130-2.8-2.46772300498234-0.332276995017664
1310.8-1.920000062969762.72000006296976







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1322.64917589703852-1.582523814010076.88087560808711
1334.63577485118573-2.5161354516431211.7876851540146
1346.62237380533295-3.7506930557582216.9954406664241
1358.60897275948016-5.2967279613253222.5146734802856
13610.5955717136274-7.1403510137861328.3314944410409
13712.5821706677746-9.2648654742386534.4292068097878
13814.5687696219218-11.654650384759440.792189628603
13916.555368576069-14.295829223678647.4065663758166
14018.5419675302162-17.176208226738554.260143287171
14120.5285664843634-20.285057745061961.3421907137888
14222.5151654385107-23.612885467683868.6432163447051
14324.5017643926579-27.151238396271676.1547671815873

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
132 & 2.64917589703852 & -1.58252381401007 & 6.88087560808711 \tabularnewline
133 & 4.63577485118573 & -2.51613545164312 & 11.7876851540146 \tabularnewline
134 & 6.62237380533295 & -3.75069305575822 & 16.9954406664241 \tabularnewline
135 & 8.60897275948016 & -5.29672796132532 & 22.5146734802856 \tabularnewline
136 & 10.5955717136274 & -7.14035101378613 & 28.3314944410409 \tabularnewline
137 & 12.5821706677746 & -9.26486547423865 & 34.4292068097878 \tabularnewline
138 & 14.5687696219218 & -11.6546503847594 & 40.792189628603 \tabularnewline
139 & 16.555368576069 & -14.2958292236786 & 47.4065663758166 \tabularnewline
140 & 18.5419675302162 & -17.1762082267385 & 54.260143287171 \tabularnewline
141 & 20.5285664843634 & -20.2850577450619 & 61.3421907137888 \tabularnewline
142 & 22.5151654385107 & -23.6128854676838 & 68.6432163447051 \tabularnewline
143 & 24.5017643926579 & -27.1512383962716 & 76.1547671815873 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114889&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]132[/C][C]2.64917589703852[/C][C]-1.58252381401007[/C][C]6.88087560808711[/C][/ROW]
[ROW][C]133[/C][C]4.63577485118573[/C][C]-2.51613545164312[/C][C]11.7876851540146[/C][/ROW]
[ROW][C]134[/C][C]6.62237380533295[/C][C]-3.75069305575822[/C][C]16.9954406664241[/C][/ROW]
[ROW][C]135[/C][C]8.60897275948016[/C][C]-5.29672796132532[/C][C]22.5146734802856[/C][/ROW]
[ROW][C]136[/C][C]10.5955717136274[/C][C]-7.14035101378613[/C][C]28.3314944410409[/C][/ROW]
[ROW][C]137[/C][C]12.5821706677746[/C][C]-9.26486547423865[/C][C]34.4292068097878[/C][/ROW]
[ROW][C]138[/C][C]14.5687696219218[/C][C]-11.6546503847594[/C][C]40.792189628603[/C][/ROW]
[ROW][C]139[/C][C]16.555368576069[/C][C]-14.2958292236786[/C][C]47.4065663758166[/C][/ROW]
[ROW][C]140[/C][C]18.5419675302162[/C][C]-17.1762082267385[/C][C]54.260143287171[/C][/ROW]
[ROW][C]141[/C][C]20.5285664843634[/C][C]-20.2850577450619[/C][C]61.3421907137888[/C][/ROW]
[ROW][C]142[/C][C]22.5151654385107[/C][C]-23.6128854676838[/C][C]68.6432163447051[/C][/ROW]
[ROW][C]143[/C][C]24.5017643926579[/C][C]-27.1512383962716[/C][C]76.1547671815873[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114889&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114889&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
1322.64917589703852-1.582523814010076.88087560808711
1334.63577485118573-2.5161354516431211.7876851540146
1346.62237380533295-3.7506930557582216.9954406664241
1358.60897275948016-5.2967279613253222.5146734802856
13610.5955717136274-7.1403510137861328.3314944410409
13712.5821706677746-9.2648654742386534.4292068097878
13814.5687696219218-11.654650384759440.792189628603
13916.555368576069-14.295829223678647.4065663758166
14018.5419675302162-17.176208226738554.260143287171
14120.5285664843634-20.285057745061961.3421907137888
14222.5151654385107-23.612885467683868.6432163447051
14324.5017643926579-27.151238396271676.1547671815873



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')