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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 27 Nov 2012 17:55:27 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/27/t1354056957wm59mot151ufd9t.htm/, Retrieved Sat, 04 May 2024 12:20:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194077, Retrieved Sat, 04 May 2024 12:20:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact125
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
14
14
15
13
8
7
3
3
4
4
0
-4
-14
-18
-8
-1
1
2
0
1
0
-1
-3
-3
-3
-4
-8
-9
-13
-18
-11
-9
-10
-13
-11
-5
-15
-6
-6
-3
-1
-3
-4
-6
0
-4
-2
-2
-6
-7
-6
-6
-3
-2
-5
-11
-11
-11
-10
-14
-8
-9
-5
-1
-2
-5
-4
-6
-2
-2
-2
-2
2
1
-8
-1
1
-1
2
2
1
-1
-2
-2
-1
-8
-4
-6
-3
-3
-7
-9
-11
-13
-11
-9
-17
-22
-25
-20
-24
-24
-22
-19
-18
-17
-11
-11
-12
-10
-15
-15
-15
-13
-8
-13
-9
-7
-4
-4
-2
0
-2
-3
1
-2
-1
1
-3
-4
-9
-9
-7
-14
-12
-16
-20
-12
-12
-10
-10
-13
-16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194077&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194077&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194077&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.89022951938608
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.89022951938608 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194077&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]0.89022951938608[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194077&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194077&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
alpha0.89022951938608
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
315141
41314.8902295193861-1.89022951938608
5813.2074914028136-5.20749140281363
678.57162883407971-1.57162883407971
737.17251845246362-4.17251845246362
833.45801935589738-0.458019355897382
943.050277004827330.949722995172666
1043.89574845036980.104251549630195
1103.98855625729235-3.98855625729235
12-40.437825737318639-4.43782573731864
13-14-3.51285773593371-10.4871422640663
14-18-12.8488213534069-5.15117864659311
15-8-17.43455264423539.43455264423531
16-1-9.035635378135048.03563537813504
171-1.88207555749612.8820755574961
1820.6836331808880211.31636681911198
1901.85550178160186-1.85550178160186
2010.2036793223464210.796320677653579
2100.912587496491164-0.912587496491164
22-10.100175168092089-1.10017516809209
23-3-0.879233243039031-2.12076675696097
24-3-2.76720241381837-0.23279758618163
25-3-2.97444569707908-0.0255543029209182
26-4-2.99719489188662-1.00280510811338
27-8-3.8899216013203-4.1100783986797
28-9-7.54883471881604-1.45116528118396
29-13-8.8407048896342-4.1592951103658
30-18-12.54343217672-5.45656782327998
31-11-17.40102992753616.4010299275361
32-9-11.70264413156972.70264413156973
33-10-9.2966705452508-0.7033294547492
34-13-9.92279518772225-3.07720481227775
35-11-12.66221374880881.6622137488088
36-5-11.18246200208986.18246200208981
37-15-5.6786518253467-9.3213481746533
38-6-13.97679113089867.97679113089862
39-6-6.87561619619560.875616196195597
40-3-6.096116810689723.09611681068972
41-1-3.339862230346252.33986223034625
42-3-1.25684780159547-1.74315219840453
43-4-2.80865334539792-1.19134665460208
44-6-3.86922530514654-2.13077469485346
450-5.766103837665965.76610383766596
46-4-0.632947989530361-3.36705201046964
47-2-3.630397082558681.63039708255868
48-2-2.1789694713440.178969471344
49-6-2.01964556488465-3.98035443511535
50-7-5.56307458064364-1.43692541935636
51-6-6.842268006110890.842268006110894
52-6-6.092456163836520.0924561638365207
53-3-6.010148957540053.01014895754005
54-2-3.330425497788661.33042549778866
55-5-2.14604144631328-2.85395855368672
56-11-4.6867195979096-6.3132804020904
57-11-10.3069881760121-0.693011823987906
58-11-10.9239277590097-0.0760722409902819
59-10-10.99164951354510.991649513545118
60-14-10.1088538437024-3.89114615629759
61-8-13.57286701628425.5728670162842
62-9-8.61173629077498-0.38826370922502
63-5-8.957380106033433.95738010603343
64-1-5.434403516211264.43440351621126
65-2-1.48676660521057-0.513233394789433
66-5-1.94366212358685-3.05633787641315
67-4-4.66450432238760.6645043223876
68-6-4.07294295883851-1.92705704116149
69-2-5.788466022421263.78846602242126
70-2-2.415861736070690.415861736070688
71-2-2.045649342637420.0456493426374185
72-2-2.005010950281020.00501095028101872
732-2.000550054420684.00055005442068
7411.5608576978062-0.560857697806198
75-81.0615656190442-9.0615656190442
76-1-7.005307586882946.00530758688294
771-1.659205500046562.65920550004656
78-10.708097734208709-1.70809773420871
792-0.8125012907803622.81250129078036
8021.691270381583770.308729618416231
8111.9661106014067-0.966110601406698
82-11.10605042504262-2.10605042504262
83-2-0.768817832645921-1.23118216735408
84-2-1.86485254176625-0.135147458233745
85-1-1.985164798555930.985164798555932
86-8-1.1081420134214-6.8918579865786
87-4-7.243477436490383.24347743649038
88-6-4.35603807706396-1.64396192293604
89-3-5.819541509608332.81954150960833
90-3-3.30950242662060.309502426620604
91-7-3.03397423012132-3.96602576987868
92-9-6.56464744511322-2.43535255488678
93-11-8.73267017958574-2.26732982041426
94-13-10.7511141159029-2.24888588409715
95-11-12.75313871565681.7531387156568
96-9-11.19244287940052.19244287940052
97-17-9.24066550859036-7.75933449140964
98-22-16.1482541236338-5.8517458763662
99-25-21.3576510427208-3.64234895727924
100-20-24.60017760439584.60017760439585
101-24-20.5049637065439-3.49503629345608
102-24-23.6163481863042-0.383651813695767
103-22-23.95788635602221.95788635602221
104-19-22.2149181262883.21491812628799
105-18-19.3529031078571.35290310785704
106-17-18.14850882437351.14850882437353
107-11-17.12607236564086.12607236564081
108-11-11.6724619078520.672461907852046
109-12-11.0738164668195-0.926183533180527
110-10-11.89833238842611.89833238842608
111-15-10.2083808586425-4.7916191413575
112-15-14.4740216639343-0.525978336065672
113-15-14.9422631052576-0.0577368947424386
114-13-14.9936621933151.99366219331497
115-8-13.2188452571425.21884525714199
116-13-8.57287515212615-4.42712484787385
117-9-12.51403237771113.51403237771106
118-7-9.385737022994222.38573702299422
119-4-7.26188349963253.2618834996325
120-4-4.358058519461280.358058519461276
121-2-4.039304255769172.03930425576917
1220-2.223855408273792.22385540827379
123-2-0.24411367698208-1.75588632301792
124-3-1.80725551441891-1.19274448558109
1251-2.869071864568163.86907186456816
126-20.575290121896557-2.57529012189656
127-1-1.717309165599130.717309165599134
1281-1.078739371856592.07873937185659
129-30.771815780080224-3.77181578008022
130-4-2.58596596903343-1.41403403096657
131-9-3.84478080481636-5.15521919518364
132-9-8.43410911127459-0.565890888725415
133-7-8.937881885169571.93788188516957
134-14-7.21272222590807-6.78727777409193
135-12-13.25495725667781.25495725667775
136-16-12.1377572612154-3.86224273878456
137-20-15.576039758316-4.423960241684
138-12-19.51437975805357.51437975805347
139-12-12.8248570775570.824857077557043
140-10-12.09054495784122.09054495784123
141-10-10.22948012476720.229480124767239
142-13-10.025190143587-2.97480985641296
143-16-12.6734536923265-3.32654630767348

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 15 & 14 & 1 \tabularnewline
4 & 13 & 14.8902295193861 & -1.89022951938608 \tabularnewline
5 & 8 & 13.2074914028136 & -5.20749140281363 \tabularnewline
6 & 7 & 8.57162883407971 & -1.57162883407971 \tabularnewline
7 & 3 & 7.17251845246362 & -4.17251845246362 \tabularnewline
8 & 3 & 3.45801935589738 & -0.458019355897382 \tabularnewline
9 & 4 & 3.05027700482733 & 0.949722995172666 \tabularnewline
10 & 4 & 3.8957484503698 & 0.104251549630195 \tabularnewline
11 & 0 & 3.98855625729235 & -3.98855625729235 \tabularnewline
12 & -4 & 0.437825737318639 & -4.43782573731864 \tabularnewline
13 & -14 & -3.51285773593371 & -10.4871422640663 \tabularnewline
14 & -18 & -12.8488213534069 & -5.15117864659311 \tabularnewline
15 & -8 & -17.4345526442353 & 9.43455264423531 \tabularnewline
16 & -1 & -9.03563537813504 & 8.03563537813504 \tabularnewline
17 & 1 & -1.8820755574961 & 2.8820755574961 \tabularnewline
18 & 2 & 0.683633180888021 & 1.31636681911198 \tabularnewline
19 & 0 & 1.85550178160186 & -1.85550178160186 \tabularnewline
20 & 1 & 0.203679322346421 & 0.796320677653579 \tabularnewline
21 & 0 & 0.912587496491164 & -0.912587496491164 \tabularnewline
22 & -1 & 0.100175168092089 & -1.10017516809209 \tabularnewline
23 & -3 & -0.879233243039031 & -2.12076675696097 \tabularnewline
24 & -3 & -2.76720241381837 & -0.23279758618163 \tabularnewline
25 & -3 & -2.97444569707908 & -0.0255543029209182 \tabularnewline
26 & -4 & -2.99719489188662 & -1.00280510811338 \tabularnewline
27 & -8 & -3.8899216013203 & -4.1100783986797 \tabularnewline
28 & -9 & -7.54883471881604 & -1.45116528118396 \tabularnewline
29 & -13 & -8.8407048896342 & -4.1592951103658 \tabularnewline
30 & -18 & -12.54343217672 & -5.45656782327998 \tabularnewline
31 & -11 & -17.4010299275361 & 6.4010299275361 \tabularnewline
32 & -9 & -11.7026441315697 & 2.70264413156973 \tabularnewline
33 & -10 & -9.2966705452508 & -0.7033294547492 \tabularnewline
34 & -13 & -9.92279518772225 & -3.07720481227775 \tabularnewline
35 & -11 & -12.6622137488088 & 1.6622137488088 \tabularnewline
36 & -5 & -11.1824620020898 & 6.18246200208981 \tabularnewline
37 & -15 & -5.6786518253467 & -9.3213481746533 \tabularnewline
38 & -6 & -13.9767911308986 & 7.97679113089862 \tabularnewline
39 & -6 & -6.8756161961956 & 0.875616196195597 \tabularnewline
40 & -3 & -6.09611681068972 & 3.09611681068972 \tabularnewline
41 & -1 & -3.33986223034625 & 2.33986223034625 \tabularnewline
42 & -3 & -1.25684780159547 & -1.74315219840453 \tabularnewline
43 & -4 & -2.80865334539792 & -1.19134665460208 \tabularnewline
44 & -6 & -3.86922530514654 & -2.13077469485346 \tabularnewline
45 & 0 & -5.76610383766596 & 5.76610383766596 \tabularnewline
46 & -4 & -0.632947989530361 & -3.36705201046964 \tabularnewline
47 & -2 & -3.63039708255868 & 1.63039708255868 \tabularnewline
48 & -2 & -2.178969471344 & 0.178969471344 \tabularnewline
49 & -6 & -2.01964556488465 & -3.98035443511535 \tabularnewline
50 & -7 & -5.56307458064364 & -1.43692541935636 \tabularnewline
51 & -6 & -6.84226800611089 & 0.842268006110894 \tabularnewline
52 & -6 & -6.09245616383652 & 0.0924561638365207 \tabularnewline
53 & -3 & -6.01014895754005 & 3.01014895754005 \tabularnewline
54 & -2 & -3.33042549778866 & 1.33042549778866 \tabularnewline
55 & -5 & -2.14604144631328 & -2.85395855368672 \tabularnewline
56 & -11 & -4.6867195979096 & -6.3132804020904 \tabularnewline
57 & -11 & -10.3069881760121 & -0.693011823987906 \tabularnewline
58 & -11 & -10.9239277590097 & -0.0760722409902819 \tabularnewline
59 & -10 & -10.9916495135451 & 0.991649513545118 \tabularnewline
60 & -14 & -10.1088538437024 & -3.89114615629759 \tabularnewline
61 & -8 & -13.5728670162842 & 5.5728670162842 \tabularnewline
62 & -9 & -8.61173629077498 & -0.38826370922502 \tabularnewline
63 & -5 & -8.95738010603343 & 3.95738010603343 \tabularnewline
64 & -1 & -5.43440351621126 & 4.43440351621126 \tabularnewline
65 & -2 & -1.48676660521057 & -0.513233394789433 \tabularnewline
66 & -5 & -1.94366212358685 & -3.05633787641315 \tabularnewline
67 & -4 & -4.6645043223876 & 0.6645043223876 \tabularnewline
68 & -6 & -4.07294295883851 & -1.92705704116149 \tabularnewline
69 & -2 & -5.78846602242126 & 3.78846602242126 \tabularnewline
70 & -2 & -2.41586173607069 & 0.415861736070688 \tabularnewline
71 & -2 & -2.04564934263742 & 0.0456493426374185 \tabularnewline
72 & -2 & -2.00501095028102 & 0.00501095028101872 \tabularnewline
73 & 2 & -2.00055005442068 & 4.00055005442068 \tabularnewline
74 & 1 & 1.5608576978062 & -0.560857697806198 \tabularnewline
75 & -8 & 1.0615656190442 & -9.0615656190442 \tabularnewline
76 & -1 & -7.00530758688294 & 6.00530758688294 \tabularnewline
77 & 1 & -1.65920550004656 & 2.65920550004656 \tabularnewline
78 & -1 & 0.708097734208709 & -1.70809773420871 \tabularnewline
79 & 2 & -0.812501290780362 & 2.81250129078036 \tabularnewline
80 & 2 & 1.69127038158377 & 0.308729618416231 \tabularnewline
81 & 1 & 1.9661106014067 & -0.966110601406698 \tabularnewline
82 & -1 & 1.10605042504262 & -2.10605042504262 \tabularnewline
83 & -2 & -0.768817832645921 & -1.23118216735408 \tabularnewline
84 & -2 & -1.86485254176625 & -0.135147458233745 \tabularnewline
85 & -1 & -1.98516479855593 & 0.985164798555932 \tabularnewline
86 & -8 & -1.1081420134214 & -6.8918579865786 \tabularnewline
87 & -4 & -7.24347743649038 & 3.24347743649038 \tabularnewline
88 & -6 & -4.35603807706396 & -1.64396192293604 \tabularnewline
89 & -3 & -5.81954150960833 & 2.81954150960833 \tabularnewline
90 & -3 & -3.3095024266206 & 0.309502426620604 \tabularnewline
91 & -7 & -3.03397423012132 & -3.96602576987868 \tabularnewline
92 & -9 & -6.56464744511322 & -2.43535255488678 \tabularnewline
93 & -11 & -8.73267017958574 & -2.26732982041426 \tabularnewline
94 & -13 & -10.7511141159029 & -2.24888588409715 \tabularnewline
95 & -11 & -12.7531387156568 & 1.7531387156568 \tabularnewline
96 & -9 & -11.1924428794005 & 2.19244287940052 \tabularnewline
97 & -17 & -9.24066550859036 & -7.75933449140964 \tabularnewline
98 & -22 & -16.1482541236338 & -5.8517458763662 \tabularnewline
99 & -25 & -21.3576510427208 & -3.64234895727924 \tabularnewline
100 & -20 & -24.6001776043958 & 4.60017760439585 \tabularnewline
101 & -24 & -20.5049637065439 & -3.49503629345608 \tabularnewline
102 & -24 & -23.6163481863042 & -0.383651813695767 \tabularnewline
103 & -22 & -23.9578863560222 & 1.95788635602221 \tabularnewline
104 & -19 & -22.214918126288 & 3.21491812628799 \tabularnewline
105 & -18 & -19.352903107857 & 1.35290310785704 \tabularnewline
106 & -17 & -18.1485088243735 & 1.14850882437353 \tabularnewline
107 & -11 & -17.1260723656408 & 6.12607236564081 \tabularnewline
108 & -11 & -11.672461907852 & 0.672461907852046 \tabularnewline
109 & -12 & -11.0738164668195 & -0.926183533180527 \tabularnewline
110 & -10 & -11.8983323884261 & 1.89833238842608 \tabularnewline
111 & -15 & -10.2083808586425 & -4.7916191413575 \tabularnewline
112 & -15 & -14.4740216639343 & -0.525978336065672 \tabularnewline
113 & -15 & -14.9422631052576 & -0.0577368947424386 \tabularnewline
114 & -13 & -14.993662193315 & 1.99366219331497 \tabularnewline
115 & -8 & -13.218845257142 & 5.21884525714199 \tabularnewline
116 & -13 & -8.57287515212615 & -4.42712484787385 \tabularnewline
117 & -9 & -12.5140323777111 & 3.51403237771106 \tabularnewline
118 & -7 & -9.38573702299422 & 2.38573702299422 \tabularnewline
119 & -4 & -7.2618834996325 & 3.2618834996325 \tabularnewline
120 & -4 & -4.35805851946128 & 0.358058519461276 \tabularnewline
121 & -2 & -4.03930425576917 & 2.03930425576917 \tabularnewline
122 & 0 & -2.22385540827379 & 2.22385540827379 \tabularnewline
123 & -2 & -0.24411367698208 & -1.75588632301792 \tabularnewline
124 & -3 & -1.80725551441891 & -1.19274448558109 \tabularnewline
125 & 1 & -2.86907186456816 & 3.86907186456816 \tabularnewline
126 & -2 & 0.575290121896557 & -2.57529012189656 \tabularnewline
127 & -1 & -1.71730916559913 & 0.717309165599134 \tabularnewline
128 & 1 & -1.07873937185659 & 2.07873937185659 \tabularnewline
129 & -3 & 0.771815780080224 & -3.77181578008022 \tabularnewline
130 & -4 & -2.58596596903343 & -1.41403403096657 \tabularnewline
131 & -9 & -3.84478080481636 & -5.15521919518364 \tabularnewline
132 & -9 & -8.43410911127459 & -0.565890888725415 \tabularnewline
133 & -7 & -8.93788188516957 & 1.93788188516957 \tabularnewline
134 & -14 & -7.21272222590807 & -6.78727777409193 \tabularnewline
135 & -12 & -13.2549572566778 & 1.25495725667775 \tabularnewline
136 & -16 & -12.1377572612154 & -3.86224273878456 \tabularnewline
137 & -20 & -15.576039758316 & -4.423960241684 \tabularnewline
138 & -12 & -19.5143797580535 & 7.51437975805347 \tabularnewline
139 & -12 & -12.824857077557 & 0.824857077557043 \tabularnewline
140 & -10 & -12.0905449578412 & 2.09054495784123 \tabularnewline
141 & -10 & -10.2294801247672 & 0.229480124767239 \tabularnewline
142 & -13 & -10.025190143587 & -2.97480985641296 \tabularnewline
143 & -16 & -12.6734536923265 & -3.32654630767348 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194077&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]15[/C][C]14[/C][C]1[/C][/ROW]
[ROW][C]4[/C][C]13[/C][C]14.8902295193861[/C][C]-1.89022951938608[/C][/ROW]
[ROW][C]5[/C][C]8[/C][C]13.2074914028136[/C][C]-5.20749140281363[/C][/ROW]
[ROW][C]6[/C][C]7[/C][C]8.57162883407971[/C][C]-1.57162883407971[/C][/ROW]
[ROW][C]7[/C][C]3[/C][C]7.17251845246362[/C][C]-4.17251845246362[/C][/ROW]
[ROW][C]8[/C][C]3[/C][C]3.45801935589738[/C][C]-0.458019355897382[/C][/ROW]
[ROW][C]9[/C][C]4[/C][C]3.05027700482733[/C][C]0.949722995172666[/C][/ROW]
[ROW][C]10[/C][C]4[/C][C]3.8957484503698[/C][C]0.104251549630195[/C][/ROW]
[ROW][C]11[/C][C]0[/C][C]3.98855625729235[/C][C]-3.98855625729235[/C][/ROW]
[ROW][C]12[/C][C]-4[/C][C]0.437825737318639[/C][C]-4.43782573731864[/C][/ROW]
[ROW][C]13[/C][C]-14[/C][C]-3.51285773593371[/C][C]-10.4871422640663[/C][/ROW]
[ROW][C]14[/C][C]-18[/C][C]-12.8488213534069[/C][C]-5.15117864659311[/C][/ROW]
[ROW][C]15[/C][C]-8[/C][C]-17.4345526442353[/C][C]9.43455264423531[/C][/ROW]
[ROW][C]16[/C][C]-1[/C][C]-9.03563537813504[/C][C]8.03563537813504[/C][/ROW]
[ROW][C]17[/C][C]1[/C][C]-1.8820755574961[/C][C]2.8820755574961[/C][/ROW]
[ROW][C]18[/C][C]2[/C][C]0.683633180888021[/C][C]1.31636681911198[/C][/ROW]
[ROW][C]19[/C][C]0[/C][C]1.85550178160186[/C][C]-1.85550178160186[/C][/ROW]
[ROW][C]20[/C][C]1[/C][C]0.203679322346421[/C][C]0.796320677653579[/C][/ROW]
[ROW][C]21[/C][C]0[/C][C]0.912587496491164[/C][C]-0.912587496491164[/C][/ROW]
[ROW][C]22[/C][C]-1[/C][C]0.100175168092089[/C][C]-1.10017516809209[/C][/ROW]
[ROW][C]23[/C][C]-3[/C][C]-0.879233243039031[/C][C]-2.12076675696097[/C][/ROW]
[ROW][C]24[/C][C]-3[/C][C]-2.76720241381837[/C][C]-0.23279758618163[/C][/ROW]
[ROW][C]25[/C][C]-3[/C][C]-2.97444569707908[/C][C]-0.0255543029209182[/C][/ROW]
[ROW][C]26[/C][C]-4[/C][C]-2.99719489188662[/C][C]-1.00280510811338[/C][/ROW]
[ROW][C]27[/C][C]-8[/C][C]-3.8899216013203[/C][C]-4.1100783986797[/C][/ROW]
[ROW][C]28[/C][C]-9[/C][C]-7.54883471881604[/C][C]-1.45116528118396[/C][/ROW]
[ROW][C]29[/C][C]-13[/C][C]-8.8407048896342[/C][C]-4.1592951103658[/C][/ROW]
[ROW][C]30[/C][C]-18[/C][C]-12.54343217672[/C][C]-5.45656782327998[/C][/ROW]
[ROW][C]31[/C][C]-11[/C][C]-17.4010299275361[/C][C]6.4010299275361[/C][/ROW]
[ROW][C]32[/C][C]-9[/C][C]-11.7026441315697[/C][C]2.70264413156973[/C][/ROW]
[ROW][C]33[/C][C]-10[/C][C]-9.2966705452508[/C][C]-0.7033294547492[/C][/ROW]
[ROW][C]34[/C][C]-13[/C][C]-9.92279518772225[/C][C]-3.07720481227775[/C][/ROW]
[ROW][C]35[/C][C]-11[/C][C]-12.6622137488088[/C][C]1.6622137488088[/C][/ROW]
[ROW][C]36[/C][C]-5[/C][C]-11.1824620020898[/C][C]6.18246200208981[/C][/ROW]
[ROW][C]37[/C][C]-15[/C][C]-5.6786518253467[/C][C]-9.3213481746533[/C][/ROW]
[ROW][C]38[/C][C]-6[/C][C]-13.9767911308986[/C][C]7.97679113089862[/C][/ROW]
[ROW][C]39[/C][C]-6[/C][C]-6.8756161961956[/C][C]0.875616196195597[/C][/ROW]
[ROW][C]40[/C][C]-3[/C][C]-6.09611681068972[/C][C]3.09611681068972[/C][/ROW]
[ROW][C]41[/C][C]-1[/C][C]-3.33986223034625[/C][C]2.33986223034625[/C][/ROW]
[ROW][C]42[/C][C]-3[/C][C]-1.25684780159547[/C][C]-1.74315219840453[/C][/ROW]
[ROW][C]43[/C][C]-4[/C][C]-2.80865334539792[/C][C]-1.19134665460208[/C][/ROW]
[ROW][C]44[/C][C]-6[/C][C]-3.86922530514654[/C][C]-2.13077469485346[/C][/ROW]
[ROW][C]45[/C][C]0[/C][C]-5.76610383766596[/C][C]5.76610383766596[/C][/ROW]
[ROW][C]46[/C][C]-4[/C][C]-0.632947989530361[/C][C]-3.36705201046964[/C][/ROW]
[ROW][C]47[/C][C]-2[/C][C]-3.63039708255868[/C][C]1.63039708255868[/C][/ROW]
[ROW][C]48[/C][C]-2[/C][C]-2.178969471344[/C][C]0.178969471344[/C][/ROW]
[ROW][C]49[/C][C]-6[/C][C]-2.01964556488465[/C][C]-3.98035443511535[/C][/ROW]
[ROW][C]50[/C][C]-7[/C][C]-5.56307458064364[/C][C]-1.43692541935636[/C][/ROW]
[ROW][C]51[/C][C]-6[/C][C]-6.84226800611089[/C][C]0.842268006110894[/C][/ROW]
[ROW][C]52[/C][C]-6[/C][C]-6.09245616383652[/C][C]0.0924561638365207[/C][/ROW]
[ROW][C]53[/C][C]-3[/C][C]-6.01014895754005[/C][C]3.01014895754005[/C][/ROW]
[ROW][C]54[/C][C]-2[/C][C]-3.33042549778866[/C][C]1.33042549778866[/C][/ROW]
[ROW][C]55[/C][C]-5[/C][C]-2.14604144631328[/C][C]-2.85395855368672[/C][/ROW]
[ROW][C]56[/C][C]-11[/C][C]-4.6867195979096[/C][C]-6.3132804020904[/C][/ROW]
[ROW][C]57[/C][C]-11[/C][C]-10.3069881760121[/C][C]-0.693011823987906[/C][/ROW]
[ROW][C]58[/C][C]-11[/C][C]-10.9239277590097[/C][C]-0.0760722409902819[/C][/ROW]
[ROW][C]59[/C][C]-10[/C][C]-10.9916495135451[/C][C]0.991649513545118[/C][/ROW]
[ROW][C]60[/C][C]-14[/C][C]-10.1088538437024[/C][C]-3.89114615629759[/C][/ROW]
[ROW][C]61[/C][C]-8[/C][C]-13.5728670162842[/C][C]5.5728670162842[/C][/ROW]
[ROW][C]62[/C][C]-9[/C][C]-8.61173629077498[/C][C]-0.38826370922502[/C][/ROW]
[ROW][C]63[/C][C]-5[/C][C]-8.95738010603343[/C][C]3.95738010603343[/C][/ROW]
[ROW][C]64[/C][C]-1[/C][C]-5.43440351621126[/C][C]4.43440351621126[/C][/ROW]
[ROW][C]65[/C][C]-2[/C][C]-1.48676660521057[/C][C]-0.513233394789433[/C][/ROW]
[ROW][C]66[/C][C]-5[/C][C]-1.94366212358685[/C][C]-3.05633787641315[/C][/ROW]
[ROW][C]67[/C][C]-4[/C][C]-4.6645043223876[/C][C]0.6645043223876[/C][/ROW]
[ROW][C]68[/C][C]-6[/C][C]-4.07294295883851[/C][C]-1.92705704116149[/C][/ROW]
[ROW][C]69[/C][C]-2[/C][C]-5.78846602242126[/C][C]3.78846602242126[/C][/ROW]
[ROW][C]70[/C][C]-2[/C][C]-2.41586173607069[/C][C]0.415861736070688[/C][/ROW]
[ROW][C]71[/C][C]-2[/C][C]-2.04564934263742[/C][C]0.0456493426374185[/C][/ROW]
[ROW][C]72[/C][C]-2[/C][C]-2.00501095028102[/C][C]0.00501095028101872[/C][/ROW]
[ROW][C]73[/C][C]2[/C][C]-2.00055005442068[/C][C]4.00055005442068[/C][/ROW]
[ROW][C]74[/C][C]1[/C][C]1.5608576978062[/C][C]-0.560857697806198[/C][/ROW]
[ROW][C]75[/C][C]-8[/C][C]1.0615656190442[/C][C]-9.0615656190442[/C][/ROW]
[ROW][C]76[/C][C]-1[/C][C]-7.00530758688294[/C][C]6.00530758688294[/C][/ROW]
[ROW][C]77[/C][C]1[/C][C]-1.65920550004656[/C][C]2.65920550004656[/C][/ROW]
[ROW][C]78[/C][C]-1[/C][C]0.708097734208709[/C][C]-1.70809773420871[/C][/ROW]
[ROW][C]79[/C][C]2[/C][C]-0.812501290780362[/C][C]2.81250129078036[/C][/ROW]
[ROW][C]80[/C][C]2[/C][C]1.69127038158377[/C][C]0.308729618416231[/C][/ROW]
[ROW][C]81[/C][C]1[/C][C]1.9661106014067[/C][C]-0.966110601406698[/C][/ROW]
[ROW][C]82[/C][C]-1[/C][C]1.10605042504262[/C][C]-2.10605042504262[/C][/ROW]
[ROW][C]83[/C][C]-2[/C][C]-0.768817832645921[/C][C]-1.23118216735408[/C][/ROW]
[ROW][C]84[/C][C]-2[/C][C]-1.86485254176625[/C][C]-0.135147458233745[/C][/ROW]
[ROW][C]85[/C][C]-1[/C][C]-1.98516479855593[/C][C]0.985164798555932[/C][/ROW]
[ROW][C]86[/C][C]-8[/C][C]-1.1081420134214[/C][C]-6.8918579865786[/C][/ROW]
[ROW][C]87[/C][C]-4[/C][C]-7.24347743649038[/C][C]3.24347743649038[/C][/ROW]
[ROW][C]88[/C][C]-6[/C][C]-4.35603807706396[/C][C]-1.64396192293604[/C][/ROW]
[ROW][C]89[/C][C]-3[/C][C]-5.81954150960833[/C][C]2.81954150960833[/C][/ROW]
[ROW][C]90[/C][C]-3[/C][C]-3.3095024266206[/C][C]0.309502426620604[/C][/ROW]
[ROW][C]91[/C][C]-7[/C][C]-3.03397423012132[/C][C]-3.96602576987868[/C][/ROW]
[ROW][C]92[/C][C]-9[/C][C]-6.56464744511322[/C][C]-2.43535255488678[/C][/ROW]
[ROW][C]93[/C][C]-11[/C][C]-8.73267017958574[/C][C]-2.26732982041426[/C][/ROW]
[ROW][C]94[/C][C]-13[/C][C]-10.7511141159029[/C][C]-2.24888588409715[/C][/ROW]
[ROW][C]95[/C][C]-11[/C][C]-12.7531387156568[/C][C]1.7531387156568[/C][/ROW]
[ROW][C]96[/C][C]-9[/C][C]-11.1924428794005[/C][C]2.19244287940052[/C][/ROW]
[ROW][C]97[/C][C]-17[/C][C]-9.24066550859036[/C][C]-7.75933449140964[/C][/ROW]
[ROW][C]98[/C][C]-22[/C][C]-16.1482541236338[/C][C]-5.8517458763662[/C][/ROW]
[ROW][C]99[/C][C]-25[/C][C]-21.3576510427208[/C][C]-3.64234895727924[/C][/ROW]
[ROW][C]100[/C][C]-20[/C][C]-24.6001776043958[/C][C]4.60017760439585[/C][/ROW]
[ROW][C]101[/C][C]-24[/C][C]-20.5049637065439[/C][C]-3.49503629345608[/C][/ROW]
[ROW][C]102[/C][C]-24[/C][C]-23.6163481863042[/C][C]-0.383651813695767[/C][/ROW]
[ROW][C]103[/C][C]-22[/C][C]-23.9578863560222[/C][C]1.95788635602221[/C][/ROW]
[ROW][C]104[/C][C]-19[/C][C]-22.214918126288[/C][C]3.21491812628799[/C][/ROW]
[ROW][C]105[/C][C]-18[/C][C]-19.352903107857[/C][C]1.35290310785704[/C][/ROW]
[ROW][C]106[/C][C]-17[/C][C]-18.1485088243735[/C][C]1.14850882437353[/C][/ROW]
[ROW][C]107[/C][C]-11[/C][C]-17.1260723656408[/C][C]6.12607236564081[/C][/ROW]
[ROW][C]108[/C][C]-11[/C][C]-11.672461907852[/C][C]0.672461907852046[/C][/ROW]
[ROW][C]109[/C][C]-12[/C][C]-11.0738164668195[/C][C]-0.926183533180527[/C][/ROW]
[ROW][C]110[/C][C]-10[/C][C]-11.8983323884261[/C][C]1.89833238842608[/C][/ROW]
[ROW][C]111[/C][C]-15[/C][C]-10.2083808586425[/C][C]-4.7916191413575[/C][/ROW]
[ROW][C]112[/C][C]-15[/C][C]-14.4740216639343[/C][C]-0.525978336065672[/C][/ROW]
[ROW][C]113[/C][C]-15[/C][C]-14.9422631052576[/C][C]-0.0577368947424386[/C][/ROW]
[ROW][C]114[/C][C]-13[/C][C]-14.993662193315[/C][C]1.99366219331497[/C][/ROW]
[ROW][C]115[/C][C]-8[/C][C]-13.218845257142[/C][C]5.21884525714199[/C][/ROW]
[ROW][C]116[/C][C]-13[/C][C]-8.57287515212615[/C][C]-4.42712484787385[/C][/ROW]
[ROW][C]117[/C][C]-9[/C][C]-12.5140323777111[/C][C]3.51403237771106[/C][/ROW]
[ROW][C]118[/C][C]-7[/C][C]-9.38573702299422[/C][C]2.38573702299422[/C][/ROW]
[ROW][C]119[/C][C]-4[/C][C]-7.2618834996325[/C][C]3.2618834996325[/C][/ROW]
[ROW][C]120[/C][C]-4[/C][C]-4.35805851946128[/C][C]0.358058519461276[/C][/ROW]
[ROW][C]121[/C][C]-2[/C][C]-4.03930425576917[/C][C]2.03930425576917[/C][/ROW]
[ROW][C]122[/C][C]0[/C][C]-2.22385540827379[/C][C]2.22385540827379[/C][/ROW]
[ROW][C]123[/C][C]-2[/C][C]-0.24411367698208[/C][C]-1.75588632301792[/C][/ROW]
[ROW][C]124[/C][C]-3[/C][C]-1.80725551441891[/C][C]-1.19274448558109[/C][/ROW]
[ROW][C]125[/C][C]1[/C][C]-2.86907186456816[/C][C]3.86907186456816[/C][/ROW]
[ROW][C]126[/C][C]-2[/C][C]0.575290121896557[/C][C]-2.57529012189656[/C][/ROW]
[ROW][C]127[/C][C]-1[/C][C]-1.71730916559913[/C][C]0.717309165599134[/C][/ROW]
[ROW][C]128[/C][C]1[/C][C]-1.07873937185659[/C][C]2.07873937185659[/C][/ROW]
[ROW][C]129[/C][C]-3[/C][C]0.771815780080224[/C][C]-3.77181578008022[/C][/ROW]
[ROW][C]130[/C][C]-4[/C][C]-2.58596596903343[/C][C]-1.41403403096657[/C][/ROW]
[ROW][C]131[/C][C]-9[/C][C]-3.84478080481636[/C][C]-5.15521919518364[/C][/ROW]
[ROW][C]132[/C][C]-9[/C][C]-8.43410911127459[/C][C]-0.565890888725415[/C][/ROW]
[ROW][C]133[/C][C]-7[/C][C]-8.93788188516957[/C][C]1.93788188516957[/C][/ROW]
[ROW][C]134[/C][C]-14[/C][C]-7.21272222590807[/C][C]-6.78727777409193[/C][/ROW]
[ROW][C]135[/C][C]-12[/C][C]-13.2549572566778[/C][C]1.25495725667775[/C][/ROW]
[ROW][C]136[/C][C]-16[/C][C]-12.1377572612154[/C][C]-3.86224273878456[/C][/ROW]
[ROW][C]137[/C][C]-20[/C][C]-15.576039758316[/C][C]-4.423960241684[/C][/ROW]
[ROW][C]138[/C][C]-12[/C][C]-19.5143797580535[/C][C]7.51437975805347[/C][/ROW]
[ROW][C]139[/C][C]-12[/C][C]-12.824857077557[/C][C]0.824857077557043[/C][/ROW]
[ROW][C]140[/C][C]-10[/C][C]-12.0905449578412[/C][C]2.09054495784123[/C][/ROW]
[ROW][C]141[/C][C]-10[/C][C]-10.2294801247672[/C][C]0.229480124767239[/C][/ROW]
[ROW][C]142[/C][C]-13[/C][C]-10.025190143587[/C][C]-2.97480985641296[/C][/ROW]
[ROW][C]143[/C][C]-16[/C][C]-12.6734536923265[/C][C]-3.32654630767348[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194077&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194077&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
315141
41314.8902295193861-1.89022951938608
5813.2074914028136-5.20749140281363
678.57162883407971-1.57162883407971
737.17251845246362-4.17251845246362
833.45801935589738-0.458019355897382
943.050277004827330.949722995172666
1043.89574845036980.104251549630195
1103.98855625729235-3.98855625729235
12-40.437825737318639-4.43782573731864
13-14-3.51285773593371-10.4871422640663
14-18-12.8488213534069-5.15117864659311
15-8-17.43455264423539.43455264423531
16-1-9.035635378135048.03563537813504
171-1.88207555749612.8820755574961
1820.6836331808880211.31636681911198
1901.85550178160186-1.85550178160186
2010.2036793223464210.796320677653579
2100.912587496491164-0.912587496491164
22-10.100175168092089-1.10017516809209
23-3-0.879233243039031-2.12076675696097
24-3-2.76720241381837-0.23279758618163
25-3-2.97444569707908-0.0255543029209182
26-4-2.99719489188662-1.00280510811338
27-8-3.8899216013203-4.1100783986797
28-9-7.54883471881604-1.45116528118396
29-13-8.8407048896342-4.1592951103658
30-18-12.54343217672-5.45656782327998
31-11-17.40102992753616.4010299275361
32-9-11.70264413156972.70264413156973
33-10-9.2966705452508-0.7033294547492
34-13-9.92279518772225-3.07720481227775
35-11-12.66221374880881.6622137488088
36-5-11.18246200208986.18246200208981
37-15-5.6786518253467-9.3213481746533
38-6-13.97679113089867.97679113089862
39-6-6.87561619619560.875616196195597
40-3-6.096116810689723.09611681068972
41-1-3.339862230346252.33986223034625
42-3-1.25684780159547-1.74315219840453
43-4-2.80865334539792-1.19134665460208
44-6-3.86922530514654-2.13077469485346
450-5.766103837665965.76610383766596
46-4-0.632947989530361-3.36705201046964
47-2-3.630397082558681.63039708255868
48-2-2.1789694713440.178969471344
49-6-2.01964556488465-3.98035443511535
50-7-5.56307458064364-1.43692541935636
51-6-6.842268006110890.842268006110894
52-6-6.092456163836520.0924561638365207
53-3-6.010148957540053.01014895754005
54-2-3.330425497788661.33042549778866
55-5-2.14604144631328-2.85395855368672
56-11-4.6867195979096-6.3132804020904
57-11-10.3069881760121-0.693011823987906
58-11-10.9239277590097-0.0760722409902819
59-10-10.99164951354510.991649513545118
60-14-10.1088538437024-3.89114615629759
61-8-13.57286701628425.5728670162842
62-9-8.61173629077498-0.38826370922502
63-5-8.957380106033433.95738010603343
64-1-5.434403516211264.43440351621126
65-2-1.48676660521057-0.513233394789433
66-5-1.94366212358685-3.05633787641315
67-4-4.66450432238760.6645043223876
68-6-4.07294295883851-1.92705704116149
69-2-5.788466022421263.78846602242126
70-2-2.415861736070690.415861736070688
71-2-2.045649342637420.0456493426374185
72-2-2.005010950281020.00501095028101872
732-2.000550054420684.00055005442068
7411.5608576978062-0.560857697806198
75-81.0615656190442-9.0615656190442
76-1-7.005307586882946.00530758688294
771-1.659205500046562.65920550004656
78-10.708097734208709-1.70809773420871
792-0.8125012907803622.81250129078036
8021.691270381583770.308729618416231
8111.9661106014067-0.966110601406698
82-11.10605042504262-2.10605042504262
83-2-0.768817832645921-1.23118216735408
84-2-1.86485254176625-0.135147458233745
85-1-1.985164798555930.985164798555932
86-8-1.1081420134214-6.8918579865786
87-4-7.243477436490383.24347743649038
88-6-4.35603807706396-1.64396192293604
89-3-5.819541509608332.81954150960833
90-3-3.30950242662060.309502426620604
91-7-3.03397423012132-3.96602576987868
92-9-6.56464744511322-2.43535255488678
93-11-8.73267017958574-2.26732982041426
94-13-10.7511141159029-2.24888588409715
95-11-12.75313871565681.7531387156568
96-9-11.19244287940052.19244287940052
97-17-9.24066550859036-7.75933449140964
98-22-16.1482541236338-5.8517458763662
99-25-21.3576510427208-3.64234895727924
100-20-24.60017760439584.60017760439585
101-24-20.5049637065439-3.49503629345608
102-24-23.6163481863042-0.383651813695767
103-22-23.95788635602221.95788635602221
104-19-22.2149181262883.21491812628799
105-18-19.3529031078571.35290310785704
106-17-18.14850882437351.14850882437353
107-11-17.12607236564086.12607236564081
108-11-11.6724619078520.672461907852046
109-12-11.0738164668195-0.926183533180527
110-10-11.89833238842611.89833238842608
111-15-10.2083808586425-4.7916191413575
112-15-14.4740216639343-0.525978336065672
113-15-14.9422631052576-0.0577368947424386
114-13-14.9936621933151.99366219331497
115-8-13.2188452571425.21884525714199
116-13-8.57287515212615-4.42712484787385
117-9-12.51403237771113.51403237771106
118-7-9.385737022994222.38573702299422
119-4-7.26188349963253.2618834996325
120-4-4.358058519461280.358058519461276
121-2-4.039304255769172.03930425576917
1220-2.223855408273792.22385540827379
123-2-0.24411367698208-1.75588632301792
124-3-1.80725551441891-1.19274448558109
1251-2.869071864568163.86907186456816
126-20.575290121896557-2.57529012189656
127-1-1.717309165599130.717309165599134
1281-1.078739371856592.07873937185659
129-30.771815780080224-3.77181578008022
130-4-2.58596596903343-1.41403403096657
131-9-3.84478080481636-5.15521919518364
132-9-8.43410911127459-0.565890888725415
133-7-8.937881885169571.93788188516957
134-14-7.21272222590807-6.78727777409193
135-12-13.25495725667781.25495725667775
136-16-12.1377572612154-3.86224273878456
137-20-15.576039758316-4.423960241684
138-12-19.51437975805357.51437975805347
139-12-12.8248570775570.824857077557043
140-10-12.09054495784122.09054495784123
141-10-10.22948012476720.229480124767239
142-13-10.025190143587-2.97480985641296
143-16-12.6734536923265-3.32654630767348







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
144-15.6348434130222-22.6476633636145-8.62202346242993
145-15.6348434130222-25.0239293145401-6.24575751150433
146-15.6348434130222-26.9100473789263-4.35963944711816
147-15.6348434130222-28.523036260718-2.74665056532649
148-15.6348434130222-29.9554860412723-1.31420078477218
149-15.6348434130222-31.2571382410143-0.0125485850301139
150-15.6348434130222-32.45838008339461.1886932573502
151-15.6348434130222-33.57938789055142.30970106450694
152-15.6348434130222-34.63436885216623.36468202612176
153-15.6348434130222-35.63377481745824.36408799141376
154-15.6348434130222-36.58556053024745.31587370420297
155-15.6348434130222-37.49594672764596.22625990160143

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
144 & -15.6348434130222 & -22.6476633636145 & -8.62202346242993 \tabularnewline
145 & -15.6348434130222 & -25.0239293145401 & -6.24575751150433 \tabularnewline
146 & -15.6348434130222 & -26.9100473789263 & -4.35963944711816 \tabularnewline
147 & -15.6348434130222 & -28.523036260718 & -2.74665056532649 \tabularnewline
148 & -15.6348434130222 & -29.9554860412723 & -1.31420078477218 \tabularnewline
149 & -15.6348434130222 & -31.2571382410143 & -0.0125485850301139 \tabularnewline
150 & -15.6348434130222 & -32.4583800833946 & 1.1886932573502 \tabularnewline
151 & -15.6348434130222 & -33.5793878905514 & 2.30970106450694 \tabularnewline
152 & -15.6348434130222 & -34.6343688521662 & 3.36468202612176 \tabularnewline
153 & -15.6348434130222 & -35.6337748174582 & 4.36408799141376 \tabularnewline
154 & -15.6348434130222 & -36.5855605302474 & 5.31587370420297 \tabularnewline
155 & -15.6348434130222 & -37.4959467276459 & 6.22625990160143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194077&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]144[/C][C]-15.6348434130222[/C][C]-22.6476633636145[/C][C]-8.62202346242993[/C][/ROW]
[ROW][C]145[/C][C]-15.6348434130222[/C][C]-25.0239293145401[/C][C]-6.24575751150433[/C][/ROW]
[ROW][C]146[/C][C]-15.6348434130222[/C][C]-26.9100473789263[/C][C]-4.35963944711816[/C][/ROW]
[ROW][C]147[/C][C]-15.6348434130222[/C][C]-28.523036260718[/C][C]-2.74665056532649[/C][/ROW]
[ROW][C]148[/C][C]-15.6348434130222[/C][C]-29.9554860412723[/C][C]-1.31420078477218[/C][/ROW]
[ROW][C]149[/C][C]-15.6348434130222[/C][C]-31.2571382410143[/C][C]-0.0125485850301139[/C][/ROW]
[ROW][C]150[/C][C]-15.6348434130222[/C][C]-32.4583800833946[/C][C]1.1886932573502[/C][/ROW]
[ROW][C]151[/C][C]-15.6348434130222[/C][C]-33.5793878905514[/C][C]2.30970106450694[/C][/ROW]
[ROW][C]152[/C][C]-15.6348434130222[/C][C]-34.6343688521662[/C][C]3.36468202612176[/C][/ROW]
[ROW][C]153[/C][C]-15.6348434130222[/C][C]-35.6337748174582[/C][C]4.36408799141376[/C][/ROW]
[ROW][C]154[/C][C]-15.6348434130222[/C][C]-36.5855605302474[/C][C]5.31587370420297[/C][/ROW]
[ROW][C]155[/C][C]-15.6348434130222[/C][C]-37.4959467276459[/C][C]6.22625990160143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194077&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194077&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
144-15.6348434130222-22.6476633636145-8.62202346242993
145-15.6348434130222-25.0239293145401-6.24575751150433
146-15.6348434130222-26.9100473789263-4.35963944711816
147-15.6348434130222-28.523036260718-2.74665056532649
148-15.6348434130222-29.9554860412723-1.31420078477218
149-15.6348434130222-31.2571382410143-0.0125485850301139
150-15.6348434130222-32.45838008339461.1886932573502
151-15.6348434130222-33.57938789055142.30970106450694
152-15.6348434130222-34.63436885216623.36468202612176
153-15.6348434130222-35.63377481745824.36408799141376
154-15.6348434130222-36.58556053024745.31587370420297
155-15.6348434130222-37.49594672764596.22625990160143



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')