Free Statistics

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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, 30 Nov 2010 12:15:29 +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/Nov/30/t1291119290sl31sp861zsq1fz.htm/, Retrieved Mon, 29 Apr 2024 13:53:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103343, Retrieved Mon, 29 Apr 2024 13:53:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:43:04] [74be16979710d4c4e7c6647856088456]
- RM D    [Exponential Smoothing] [Personal Standard...] [2010-11-30 12:15:29] [194b0dcd1d575718d8c1582a0112d12c] [Current]
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Dataseries X:
24
25
30
19
22
22
25
23
17
21
19
19
15
16
23
27
22
14
22
23
23
21
19
18
20
23
25
19
24
22
25
26
29
32
25
29
28
17
28
29
26
25
14
25
26
20
18
32
25
25
23
21
20
15
30
24
26
24
22
14
24
24
24
24
19
31
22
27
19
25
20
21
27
23
25
20
21
22
23
25
25
17
19
25
19
20
26
23
27
17
17
19
17
22
21
32
21
21
18
18
23
19
20
21
20
17
18
19
22
15
14
18
24
35
29
21
25
20
22
13
26
17
25
20
19
21
22
24
21
26
24
16
23
18
16
26
19
21
21
22
23
29
21
21
23
27
25
21
10
20
26
24
29
19
24
19
24
22
17




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=103343&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=103343&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103343&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
alpha0.0482511366093053
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0482511366093053 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103343&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]0.0482511366093053[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103343&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103343&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
alpha0.0482511366093053
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
225241
33024.04825113660935.9517488633907
41924.3354297840810-5.33542978408105
52224.0779892327-2.07798923269999
62223.9777238903603-1.97772389036032
72523.88229646475111.11770353524894
82323.9362269307191-0.936226930719062
91723.8910529171876-6.89105291718763
102123.5585517814985-2.55855178149845
111923.4350987499674-4.43509874996739
121923.2211001943070-4.22110019430695
131523.0174273121899-8.01742731218988
141622.6305773316942-6.63057733169423
152322.31064443906410.689355560935908
162722.34390662840724.65609337159281
172222.5685684257456-0.568568425745596
181422.5411343529632-8.54113435296321
192222.1290149125000-0.129014912499951
202322.12278979633230.877210203667723
212322.16511618570450.834883814295473
222122.205400278681-1.20540027868100
231922.1472383451655-3.14723834516547
241821.9953805178308-3.99538051783084
252021.8025988666588-1.80259886665883
262321.71562142249191.28437857750811
272521.77759414869333.22240585130670
281921.9330788936353-2.93307889363533
292421.79155450325272.20844549674734
302221.89811450861040.101885491389581
312521.90303059937403.09696940062604
322622.05246289299843.94753710700159
332922.24293604521866.75706395478135
343222.56897206117869.43102793882139
352523.02402987862091.97597012137914
362923.11937268288345.88062731711657
372823.40311963491004.59688036508997
381723.6249243373826-6.62492433738262
392823.30526420815334.69473579184674
402923.53179054619035.46820945380975
412623.79563786755432.20436213244568
422523.90200084594331.09799915405667
431423.9549805531226-9.95498055312262
442523.47464142651091.52535857348907
452623.54824171141852.45175828858147
462023.6665418355339-3.66654183553387
471823.4896270245438-5.48962702454379
483223.22474628104848.7752537189516
492523.64816224702281.35183775297716
502523.71338995511541.28661004488464
512323.775470352154-0.775470352153995
522123.7380530262557-2.73805302625575
532023.6059388556424-3.60593885564236
541523.4319482073140-8.43194820731396
553023.02509712248036.97490287751974
562423.36164411406010.638355885939895
572623.39244551111792.60755448888206
582423.51826297897720.481737021022802
592223.5415073377883-1.54150733778833
601423.4671278566485-9.46712785664846
612423.01032817713960.989671822860448
622423.05808096746280.941919032537228
632423.10352963137660.896470368623369
642423.14678534559930.853214654400727
651923.1879539224458-4.18795392244582
663122.98588038562048.01411961437958
672223.3725707659372-1.37257076593716
682723.3063426664043.69365733359601
691923.4845658309953-4.48456583099529
702523.26818043245051.73181956754949
712023.351742694987-3.35174269498701
722123.1900173003319-2.19001730033195
732723.08434647639693.91565352360311
742323.2732812094790-0.273281209478967
752523.26009508050761.73990491949236
762023.3440474704653-3.34404747046527
772123.1826933791399-2.18269337913985
782223.0773759427267-1.07737594272675
792323.0253913289347-0.0253913289346634
802523.02416616845351.97583383154645
812523.11950239657681.88049760342322
821723.2102385433330-6.21023854333303
831922.9105874750023-3.91058747500229
842522.72189718452332.27810281547668
851922.8318182346829-3.83181823468293
862022.6469286495792-2.64692864957922
872622.51921133371333.48078866628672
882322.68716334315840.312836656841597
892722.70225806742414.29774193257593
901722.9096290005243-5.90962900052433
911722.6244826843097-5.62448268430971
921922.3530950019524-3.35309500195241
931722.1913043569492-5.19130435694922
942221.94081802124160.0591819787584171
952121.9436736189835-0.943673618983464
963221.898140294279310.1018597057207
972122.3855665069481-1.38556650694806
982122.3187113481400-1.31871134814003
991822.2550820267327-4.25508202673268
1001822.049769482577-4.04976948257701
1012321.8543635020371.14563649796301
1021921.9096417652048-2.90964176520481
1032021.7692482429078-1.76924824290777
1042121.6838800042435-0.683880004243452
1052021.6508820167343-1.65088201673433
1061721.5712250830190-4.57122508301903
1071821.3506582770664-3.3506582770664
1081921.1889852068086-2.18898520680857
1092221.08336418255910.916635817440902
1101521.1275929026074-6.12759290260742
1111420.8319295803775-6.8319295803775
1121820.5022812128896-2.50228121288955
1132420.38154330025153.61845669974848
1143520.556137948785914.4438620512141
1152921.25307070978507.74692929021497
1162121.6268688532698-0.626868853269823
1172521.59662171859463.40337828140542
1182021.7608385889838-1.76083858898382
1192221.67587612567980.324123874320179
1201321.691515471018-8.69151547101798
1212621.2721399706844.72786002931599
1221721.5002645908282-4.50026459082821
1232521.28312170927813.71687829072187
1242021.4624653114439-1.46246531144392
1251921.3918996979151-2.39189969791506
1262121.2764878188352-0.276487818835207
1272221.26314696731780.73685303268222
1282421.29870096365872.70129903634129
1292121.4290417124838-0.429041712483798
1302621.40833996220374.59166003779635
1312421.62989277795092.37010722204915
1321621.7442531453006-5.74425314530065
1332321.46708640206831.53291359793169
1341821.5410512254924-3.54105122549237
1351621.3701914790706-5.37019147907059
1362621.11107363639584.88892636360417
1371921.3469698902389-2.34696989023892
1382121.2337259254471-0.233725925447079
1392121.2224483838892-0.222448383889194
1402221.21171499652960.788285003470364
1412321.24975064391921.75024935608085
1422921.33420216469987.66579783530024
1432121.7040856232701-0.70408562327015
1442121.6701126916771-0.670112691677094
1452321.63777899264741.36222100735265
1462721.70350770456525.29649229543481
1472521.95906947786233.04093052213765
1482122.1057978319054-1.10579783190542
1491022.0524418296559-12.0524418296559
1502021.4708978124574-1.47089781245744
1512621.39992532117024.60007467882977
1522421.62188415291142.37811584708855
1532921.73663094552217.26336905447793
1541922.0870967580135-3.08709675801349
1552421.93814083061642.06185916938357
1561922.0376278790675-3.03762787906751
1572421.89105888130642.10894111869361
1582221.99281768732550.00718231267454428
1591721.9931642420755-4.99316424207549

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 25 & 24 & 1 \tabularnewline
3 & 30 & 24.0482511366093 & 5.9517488633907 \tabularnewline
4 & 19 & 24.3354297840810 & -5.33542978408105 \tabularnewline
5 & 22 & 24.0779892327 & -2.07798923269999 \tabularnewline
6 & 22 & 23.9777238903603 & -1.97772389036032 \tabularnewline
7 & 25 & 23.8822964647511 & 1.11770353524894 \tabularnewline
8 & 23 & 23.9362269307191 & -0.936226930719062 \tabularnewline
9 & 17 & 23.8910529171876 & -6.89105291718763 \tabularnewline
10 & 21 & 23.5585517814985 & -2.55855178149845 \tabularnewline
11 & 19 & 23.4350987499674 & -4.43509874996739 \tabularnewline
12 & 19 & 23.2211001943070 & -4.22110019430695 \tabularnewline
13 & 15 & 23.0174273121899 & -8.01742731218988 \tabularnewline
14 & 16 & 22.6305773316942 & -6.63057733169423 \tabularnewline
15 & 23 & 22.3106444390641 & 0.689355560935908 \tabularnewline
16 & 27 & 22.3439066284072 & 4.65609337159281 \tabularnewline
17 & 22 & 22.5685684257456 & -0.568568425745596 \tabularnewline
18 & 14 & 22.5411343529632 & -8.54113435296321 \tabularnewline
19 & 22 & 22.1290149125000 & -0.129014912499951 \tabularnewline
20 & 23 & 22.1227897963323 & 0.877210203667723 \tabularnewline
21 & 23 & 22.1651161857045 & 0.834883814295473 \tabularnewline
22 & 21 & 22.205400278681 & -1.20540027868100 \tabularnewline
23 & 19 & 22.1472383451655 & -3.14723834516547 \tabularnewline
24 & 18 & 21.9953805178308 & -3.99538051783084 \tabularnewline
25 & 20 & 21.8025988666588 & -1.80259886665883 \tabularnewline
26 & 23 & 21.7156214224919 & 1.28437857750811 \tabularnewline
27 & 25 & 21.7775941486933 & 3.22240585130670 \tabularnewline
28 & 19 & 21.9330788936353 & -2.93307889363533 \tabularnewline
29 & 24 & 21.7915545032527 & 2.20844549674734 \tabularnewline
30 & 22 & 21.8981145086104 & 0.101885491389581 \tabularnewline
31 & 25 & 21.9030305993740 & 3.09696940062604 \tabularnewline
32 & 26 & 22.0524628929984 & 3.94753710700159 \tabularnewline
33 & 29 & 22.2429360452186 & 6.75706395478135 \tabularnewline
34 & 32 & 22.5689720611786 & 9.43102793882139 \tabularnewline
35 & 25 & 23.0240298786209 & 1.97597012137914 \tabularnewline
36 & 29 & 23.1193726828834 & 5.88062731711657 \tabularnewline
37 & 28 & 23.4031196349100 & 4.59688036508997 \tabularnewline
38 & 17 & 23.6249243373826 & -6.62492433738262 \tabularnewline
39 & 28 & 23.3052642081533 & 4.69473579184674 \tabularnewline
40 & 29 & 23.5317905461903 & 5.46820945380975 \tabularnewline
41 & 26 & 23.7956378675543 & 2.20436213244568 \tabularnewline
42 & 25 & 23.9020008459433 & 1.09799915405667 \tabularnewline
43 & 14 & 23.9549805531226 & -9.95498055312262 \tabularnewline
44 & 25 & 23.4746414265109 & 1.52535857348907 \tabularnewline
45 & 26 & 23.5482417114185 & 2.45175828858147 \tabularnewline
46 & 20 & 23.6665418355339 & -3.66654183553387 \tabularnewline
47 & 18 & 23.4896270245438 & -5.48962702454379 \tabularnewline
48 & 32 & 23.2247462810484 & 8.7752537189516 \tabularnewline
49 & 25 & 23.6481622470228 & 1.35183775297716 \tabularnewline
50 & 25 & 23.7133899551154 & 1.28661004488464 \tabularnewline
51 & 23 & 23.775470352154 & -0.775470352153995 \tabularnewline
52 & 21 & 23.7380530262557 & -2.73805302625575 \tabularnewline
53 & 20 & 23.6059388556424 & -3.60593885564236 \tabularnewline
54 & 15 & 23.4319482073140 & -8.43194820731396 \tabularnewline
55 & 30 & 23.0250971224803 & 6.97490287751974 \tabularnewline
56 & 24 & 23.3616441140601 & 0.638355885939895 \tabularnewline
57 & 26 & 23.3924455111179 & 2.60755448888206 \tabularnewline
58 & 24 & 23.5182629789772 & 0.481737021022802 \tabularnewline
59 & 22 & 23.5415073377883 & -1.54150733778833 \tabularnewline
60 & 14 & 23.4671278566485 & -9.46712785664846 \tabularnewline
61 & 24 & 23.0103281771396 & 0.989671822860448 \tabularnewline
62 & 24 & 23.0580809674628 & 0.941919032537228 \tabularnewline
63 & 24 & 23.1035296313766 & 0.896470368623369 \tabularnewline
64 & 24 & 23.1467853455993 & 0.853214654400727 \tabularnewline
65 & 19 & 23.1879539224458 & -4.18795392244582 \tabularnewline
66 & 31 & 22.9858803856204 & 8.01411961437958 \tabularnewline
67 & 22 & 23.3725707659372 & -1.37257076593716 \tabularnewline
68 & 27 & 23.306342666404 & 3.69365733359601 \tabularnewline
69 & 19 & 23.4845658309953 & -4.48456583099529 \tabularnewline
70 & 25 & 23.2681804324505 & 1.73181956754949 \tabularnewline
71 & 20 & 23.351742694987 & -3.35174269498701 \tabularnewline
72 & 21 & 23.1900173003319 & -2.19001730033195 \tabularnewline
73 & 27 & 23.0843464763969 & 3.91565352360311 \tabularnewline
74 & 23 & 23.2732812094790 & -0.273281209478967 \tabularnewline
75 & 25 & 23.2600950805076 & 1.73990491949236 \tabularnewline
76 & 20 & 23.3440474704653 & -3.34404747046527 \tabularnewline
77 & 21 & 23.1826933791399 & -2.18269337913985 \tabularnewline
78 & 22 & 23.0773759427267 & -1.07737594272675 \tabularnewline
79 & 23 & 23.0253913289347 & -0.0253913289346634 \tabularnewline
80 & 25 & 23.0241661684535 & 1.97583383154645 \tabularnewline
81 & 25 & 23.1195023965768 & 1.88049760342322 \tabularnewline
82 & 17 & 23.2102385433330 & -6.21023854333303 \tabularnewline
83 & 19 & 22.9105874750023 & -3.91058747500229 \tabularnewline
84 & 25 & 22.7218971845233 & 2.27810281547668 \tabularnewline
85 & 19 & 22.8318182346829 & -3.83181823468293 \tabularnewline
86 & 20 & 22.6469286495792 & -2.64692864957922 \tabularnewline
87 & 26 & 22.5192113337133 & 3.48078866628672 \tabularnewline
88 & 23 & 22.6871633431584 & 0.312836656841597 \tabularnewline
89 & 27 & 22.7022580674241 & 4.29774193257593 \tabularnewline
90 & 17 & 22.9096290005243 & -5.90962900052433 \tabularnewline
91 & 17 & 22.6244826843097 & -5.62448268430971 \tabularnewline
92 & 19 & 22.3530950019524 & -3.35309500195241 \tabularnewline
93 & 17 & 22.1913043569492 & -5.19130435694922 \tabularnewline
94 & 22 & 21.9408180212416 & 0.0591819787584171 \tabularnewline
95 & 21 & 21.9436736189835 & -0.943673618983464 \tabularnewline
96 & 32 & 21.8981402942793 & 10.1018597057207 \tabularnewline
97 & 21 & 22.3855665069481 & -1.38556650694806 \tabularnewline
98 & 21 & 22.3187113481400 & -1.31871134814003 \tabularnewline
99 & 18 & 22.2550820267327 & -4.25508202673268 \tabularnewline
100 & 18 & 22.049769482577 & -4.04976948257701 \tabularnewline
101 & 23 & 21.854363502037 & 1.14563649796301 \tabularnewline
102 & 19 & 21.9096417652048 & -2.90964176520481 \tabularnewline
103 & 20 & 21.7692482429078 & -1.76924824290777 \tabularnewline
104 & 21 & 21.6838800042435 & -0.683880004243452 \tabularnewline
105 & 20 & 21.6508820167343 & -1.65088201673433 \tabularnewline
106 & 17 & 21.5712250830190 & -4.57122508301903 \tabularnewline
107 & 18 & 21.3506582770664 & -3.3506582770664 \tabularnewline
108 & 19 & 21.1889852068086 & -2.18898520680857 \tabularnewline
109 & 22 & 21.0833641825591 & 0.916635817440902 \tabularnewline
110 & 15 & 21.1275929026074 & -6.12759290260742 \tabularnewline
111 & 14 & 20.8319295803775 & -6.8319295803775 \tabularnewline
112 & 18 & 20.5022812128896 & -2.50228121288955 \tabularnewline
113 & 24 & 20.3815433002515 & 3.61845669974848 \tabularnewline
114 & 35 & 20.5561379487859 & 14.4438620512141 \tabularnewline
115 & 29 & 21.2530707097850 & 7.74692929021497 \tabularnewline
116 & 21 & 21.6268688532698 & -0.626868853269823 \tabularnewline
117 & 25 & 21.5966217185946 & 3.40337828140542 \tabularnewline
118 & 20 & 21.7608385889838 & -1.76083858898382 \tabularnewline
119 & 22 & 21.6758761256798 & 0.324123874320179 \tabularnewline
120 & 13 & 21.691515471018 & -8.69151547101798 \tabularnewline
121 & 26 & 21.272139970684 & 4.72786002931599 \tabularnewline
122 & 17 & 21.5002645908282 & -4.50026459082821 \tabularnewline
123 & 25 & 21.2831217092781 & 3.71687829072187 \tabularnewline
124 & 20 & 21.4624653114439 & -1.46246531144392 \tabularnewline
125 & 19 & 21.3918996979151 & -2.39189969791506 \tabularnewline
126 & 21 & 21.2764878188352 & -0.276487818835207 \tabularnewline
127 & 22 & 21.2631469673178 & 0.73685303268222 \tabularnewline
128 & 24 & 21.2987009636587 & 2.70129903634129 \tabularnewline
129 & 21 & 21.4290417124838 & -0.429041712483798 \tabularnewline
130 & 26 & 21.4083399622037 & 4.59166003779635 \tabularnewline
131 & 24 & 21.6298927779509 & 2.37010722204915 \tabularnewline
132 & 16 & 21.7442531453006 & -5.74425314530065 \tabularnewline
133 & 23 & 21.4670864020683 & 1.53291359793169 \tabularnewline
134 & 18 & 21.5410512254924 & -3.54105122549237 \tabularnewline
135 & 16 & 21.3701914790706 & -5.37019147907059 \tabularnewline
136 & 26 & 21.1110736363958 & 4.88892636360417 \tabularnewline
137 & 19 & 21.3469698902389 & -2.34696989023892 \tabularnewline
138 & 21 & 21.2337259254471 & -0.233725925447079 \tabularnewline
139 & 21 & 21.2224483838892 & -0.222448383889194 \tabularnewline
140 & 22 & 21.2117149965296 & 0.788285003470364 \tabularnewline
141 & 23 & 21.2497506439192 & 1.75024935608085 \tabularnewline
142 & 29 & 21.3342021646998 & 7.66579783530024 \tabularnewline
143 & 21 & 21.7040856232701 & -0.70408562327015 \tabularnewline
144 & 21 & 21.6701126916771 & -0.670112691677094 \tabularnewline
145 & 23 & 21.6377789926474 & 1.36222100735265 \tabularnewline
146 & 27 & 21.7035077045652 & 5.29649229543481 \tabularnewline
147 & 25 & 21.9590694778623 & 3.04093052213765 \tabularnewline
148 & 21 & 22.1057978319054 & -1.10579783190542 \tabularnewline
149 & 10 & 22.0524418296559 & -12.0524418296559 \tabularnewline
150 & 20 & 21.4708978124574 & -1.47089781245744 \tabularnewline
151 & 26 & 21.3999253211702 & 4.60007467882977 \tabularnewline
152 & 24 & 21.6218841529114 & 2.37811584708855 \tabularnewline
153 & 29 & 21.7366309455221 & 7.26336905447793 \tabularnewline
154 & 19 & 22.0870967580135 & -3.08709675801349 \tabularnewline
155 & 24 & 21.9381408306164 & 2.06185916938357 \tabularnewline
156 & 19 & 22.0376278790675 & -3.03762787906751 \tabularnewline
157 & 24 & 21.8910588813064 & 2.10894111869361 \tabularnewline
158 & 22 & 21.9928176873255 & 0.00718231267454428 \tabularnewline
159 & 17 & 21.9931642420755 & -4.99316424207549 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103343&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]2[/C][C]25[/C][C]24[/C][C]1[/C][/ROW]
[ROW][C]3[/C][C]30[/C][C]24.0482511366093[/C][C]5.9517488633907[/C][/ROW]
[ROW][C]4[/C][C]19[/C][C]24.3354297840810[/C][C]-5.33542978408105[/C][/ROW]
[ROW][C]5[/C][C]22[/C][C]24.0779892327[/C][C]-2.07798923269999[/C][/ROW]
[ROW][C]6[/C][C]22[/C][C]23.9777238903603[/C][C]-1.97772389036032[/C][/ROW]
[ROW][C]7[/C][C]25[/C][C]23.8822964647511[/C][C]1.11770353524894[/C][/ROW]
[ROW][C]8[/C][C]23[/C][C]23.9362269307191[/C][C]-0.936226930719062[/C][/ROW]
[ROW][C]9[/C][C]17[/C][C]23.8910529171876[/C][C]-6.89105291718763[/C][/ROW]
[ROW][C]10[/C][C]21[/C][C]23.5585517814985[/C][C]-2.55855178149845[/C][/ROW]
[ROW][C]11[/C][C]19[/C][C]23.4350987499674[/C][C]-4.43509874996739[/C][/ROW]
[ROW][C]12[/C][C]19[/C][C]23.2211001943070[/C][C]-4.22110019430695[/C][/ROW]
[ROW][C]13[/C][C]15[/C][C]23.0174273121899[/C][C]-8.01742731218988[/C][/ROW]
[ROW][C]14[/C][C]16[/C][C]22.6305773316942[/C][C]-6.63057733169423[/C][/ROW]
[ROW][C]15[/C][C]23[/C][C]22.3106444390641[/C][C]0.689355560935908[/C][/ROW]
[ROW][C]16[/C][C]27[/C][C]22.3439066284072[/C][C]4.65609337159281[/C][/ROW]
[ROW][C]17[/C][C]22[/C][C]22.5685684257456[/C][C]-0.568568425745596[/C][/ROW]
[ROW][C]18[/C][C]14[/C][C]22.5411343529632[/C][C]-8.54113435296321[/C][/ROW]
[ROW][C]19[/C][C]22[/C][C]22.1290149125000[/C][C]-0.129014912499951[/C][/ROW]
[ROW][C]20[/C][C]23[/C][C]22.1227897963323[/C][C]0.877210203667723[/C][/ROW]
[ROW][C]21[/C][C]23[/C][C]22.1651161857045[/C][C]0.834883814295473[/C][/ROW]
[ROW][C]22[/C][C]21[/C][C]22.205400278681[/C][C]-1.20540027868100[/C][/ROW]
[ROW][C]23[/C][C]19[/C][C]22.1472383451655[/C][C]-3.14723834516547[/C][/ROW]
[ROW][C]24[/C][C]18[/C][C]21.9953805178308[/C][C]-3.99538051783084[/C][/ROW]
[ROW][C]25[/C][C]20[/C][C]21.8025988666588[/C][C]-1.80259886665883[/C][/ROW]
[ROW][C]26[/C][C]23[/C][C]21.7156214224919[/C][C]1.28437857750811[/C][/ROW]
[ROW][C]27[/C][C]25[/C][C]21.7775941486933[/C][C]3.22240585130670[/C][/ROW]
[ROW][C]28[/C][C]19[/C][C]21.9330788936353[/C][C]-2.93307889363533[/C][/ROW]
[ROW][C]29[/C][C]24[/C][C]21.7915545032527[/C][C]2.20844549674734[/C][/ROW]
[ROW][C]30[/C][C]22[/C][C]21.8981145086104[/C][C]0.101885491389581[/C][/ROW]
[ROW][C]31[/C][C]25[/C][C]21.9030305993740[/C][C]3.09696940062604[/C][/ROW]
[ROW][C]32[/C][C]26[/C][C]22.0524628929984[/C][C]3.94753710700159[/C][/ROW]
[ROW][C]33[/C][C]29[/C][C]22.2429360452186[/C][C]6.75706395478135[/C][/ROW]
[ROW][C]34[/C][C]32[/C][C]22.5689720611786[/C][C]9.43102793882139[/C][/ROW]
[ROW][C]35[/C][C]25[/C][C]23.0240298786209[/C][C]1.97597012137914[/C][/ROW]
[ROW][C]36[/C][C]29[/C][C]23.1193726828834[/C][C]5.88062731711657[/C][/ROW]
[ROW][C]37[/C][C]28[/C][C]23.4031196349100[/C][C]4.59688036508997[/C][/ROW]
[ROW][C]38[/C][C]17[/C][C]23.6249243373826[/C][C]-6.62492433738262[/C][/ROW]
[ROW][C]39[/C][C]28[/C][C]23.3052642081533[/C][C]4.69473579184674[/C][/ROW]
[ROW][C]40[/C][C]29[/C][C]23.5317905461903[/C][C]5.46820945380975[/C][/ROW]
[ROW][C]41[/C][C]26[/C][C]23.7956378675543[/C][C]2.20436213244568[/C][/ROW]
[ROW][C]42[/C][C]25[/C][C]23.9020008459433[/C][C]1.09799915405667[/C][/ROW]
[ROW][C]43[/C][C]14[/C][C]23.9549805531226[/C][C]-9.95498055312262[/C][/ROW]
[ROW][C]44[/C][C]25[/C][C]23.4746414265109[/C][C]1.52535857348907[/C][/ROW]
[ROW][C]45[/C][C]26[/C][C]23.5482417114185[/C][C]2.45175828858147[/C][/ROW]
[ROW][C]46[/C][C]20[/C][C]23.6665418355339[/C][C]-3.66654183553387[/C][/ROW]
[ROW][C]47[/C][C]18[/C][C]23.4896270245438[/C][C]-5.48962702454379[/C][/ROW]
[ROW][C]48[/C][C]32[/C][C]23.2247462810484[/C][C]8.7752537189516[/C][/ROW]
[ROW][C]49[/C][C]25[/C][C]23.6481622470228[/C][C]1.35183775297716[/C][/ROW]
[ROW][C]50[/C][C]25[/C][C]23.7133899551154[/C][C]1.28661004488464[/C][/ROW]
[ROW][C]51[/C][C]23[/C][C]23.775470352154[/C][C]-0.775470352153995[/C][/ROW]
[ROW][C]52[/C][C]21[/C][C]23.7380530262557[/C][C]-2.73805302625575[/C][/ROW]
[ROW][C]53[/C][C]20[/C][C]23.6059388556424[/C][C]-3.60593885564236[/C][/ROW]
[ROW][C]54[/C][C]15[/C][C]23.4319482073140[/C][C]-8.43194820731396[/C][/ROW]
[ROW][C]55[/C][C]30[/C][C]23.0250971224803[/C][C]6.97490287751974[/C][/ROW]
[ROW][C]56[/C][C]24[/C][C]23.3616441140601[/C][C]0.638355885939895[/C][/ROW]
[ROW][C]57[/C][C]26[/C][C]23.3924455111179[/C][C]2.60755448888206[/C][/ROW]
[ROW][C]58[/C][C]24[/C][C]23.5182629789772[/C][C]0.481737021022802[/C][/ROW]
[ROW][C]59[/C][C]22[/C][C]23.5415073377883[/C][C]-1.54150733778833[/C][/ROW]
[ROW][C]60[/C][C]14[/C][C]23.4671278566485[/C][C]-9.46712785664846[/C][/ROW]
[ROW][C]61[/C][C]24[/C][C]23.0103281771396[/C][C]0.989671822860448[/C][/ROW]
[ROW][C]62[/C][C]24[/C][C]23.0580809674628[/C][C]0.941919032537228[/C][/ROW]
[ROW][C]63[/C][C]24[/C][C]23.1035296313766[/C][C]0.896470368623369[/C][/ROW]
[ROW][C]64[/C][C]24[/C][C]23.1467853455993[/C][C]0.853214654400727[/C][/ROW]
[ROW][C]65[/C][C]19[/C][C]23.1879539224458[/C][C]-4.18795392244582[/C][/ROW]
[ROW][C]66[/C][C]31[/C][C]22.9858803856204[/C][C]8.01411961437958[/C][/ROW]
[ROW][C]67[/C][C]22[/C][C]23.3725707659372[/C][C]-1.37257076593716[/C][/ROW]
[ROW][C]68[/C][C]27[/C][C]23.306342666404[/C][C]3.69365733359601[/C][/ROW]
[ROW][C]69[/C][C]19[/C][C]23.4845658309953[/C][C]-4.48456583099529[/C][/ROW]
[ROW][C]70[/C][C]25[/C][C]23.2681804324505[/C][C]1.73181956754949[/C][/ROW]
[ROW][C]71[/C][C]20[/C][C]23.351742694987[/C][C]-3.35174269498701[/C][/ROW]
[ROW][C]72[/C][C]21[/C][C]23.1900173003319[/C][C]-2.19001730033195[/C][/ROW]
[ROW][C]73[/C][C]27[/C][C]23.0843464763969[/C][C]3.91565352360311[/C][/ROW]
[ROW][C]74[/C][C]23[/C][C]23.2732812094790[/C][C]-0.273281209478967[/C][/ROW]
[ROW][C]75[/C][C]25[/C][C]23.2600950805076[/C][C]1.73990491949236[/C][/ROW]
[ROW][C]76[/C][C]20[/C][C]23.3440474704653[/C][C]-3.34404747046527[/C][/ROW]
[ROW][C]77[/C][C]21[/C][C]23.1826933791399[/C][C]-2.18269337913985[/C][/ROW]
[ROW][C]78[/C][C]22[/C][C]23.0773759427267[/C][C]-1.07737594272675[/C][/ROW]
[ROW][C]79[/C][C]23[/C][C]23.0253913289347[/C][C]-0.0253913289346634[/C][/ROW]
[ROW][C]80[/C][C]25[/C][C]23.0241661684535[/C][C]1.97583383154645[/C][/ROW]
[ROW][C]81[/C][C]25[/C][C]23.1195023965768[/C][C]1.88049760342322[/C][/ROW]
[ROW][C]82[/C][C]17[/C][C]23.2102385433330[/C][C]-6.21023854333303[/C][/ROW]
[ROW][C]83[/C][C]19[/C][C]22.9105874750023[/C][C]-3.91058747500229[/C][/ROW]
[ROW][C]84[/C][C]25[/C][C]22.7218971845233[/C][C]2.27810281547668[/C][/ROW]
[ROW][C]85[/C][C]19[/C][C]22.8318182346829[/C][C]-3.83181823468293[/C][/ROW]
[ROW][C]86[/C][C]20[/C][C]22.6469286495792[/C][C]-2.64692864957922[/C][/ROW]
[ROW][C]87[/C][C]26[/C][C]22.5192113337133[/C][C]3.48078866628672[/C][/ROW]
[ROW][C]88[/C][C]23[/C][C]22.6871633431584[/C][C]0.312836656841597[/C][/ROW]
[ROW][C]89[/C][C]27[/C][C]22.7022580674241[/C][C]4.29774193257593[/C][/ROW]
[ROW][C]90[/C][C]17[/C][C]22.9096290005243[/C][C]-5.90962900052433[/C][/ROW]
[ROW][C]91[/C][C]17[/C][C]22.6244826843097[/C][C]-5.62448268430971[/C][/ROW]
[ROW][C]92[/C][C]19[/C][C]22.3530950019524[/C][C]-3.35309500195241[/C][/ROW]
[ROW][C]93[/C][C]17[/C][C]22.1913043569492[/C][C]-5.19130435694922[/C][/ROW]
[ROW][C]94[/C][C]22[/C][C]21.9408180212416[/C][C]0.0591819787584171[/C][/ROW]
[ROW][C]95[/C][C]21[/C][C]21.9436736189835[/C][C]-0.943673618983464[/C][/ROW]
[ROW][C]96[/C][C]32[/C][C]21.8981402942793[/C][C]10.1018597057207[/C][/ROW]
[ROW][C]97[/C][C]21[/C][C]22.3855665069481[/C][C]-1.38556650694806[/C][/ROW]
[ROW][C]98[/C][C]21[/C][C]22.3187113481400[/C][C]-1.31871134814003[/C][/ROW]
[ROW][C]99[/C][C]18[/C][C]22.2550820267327[/C][C]-4.25508202673268[/C][/ROW]
[ROW][C]100[/C][C]18[/C][C]22.049769482577[/C][C]-4.04976948257701[/C][/ROW]
[ROW][C]101[/C][C]23[/C][C]21.854363502037[/C][C]1.14563649796301[/C][/ROW]
[ROW][C]102[/C][C]19[/C][C]21.9096417652048[/C][C]-2.90964176520481[/C][/ROW]
[ROW][C]103[/C][C]20[/C][C]21.7692482429078[/C][C]-1.76924824290777[/C][/ROW]
[ROW][C]104[/C][C]21[/C][C]21.6838800042435[/C][C]-0.683880004243452[/C][/ROW]
[ROW][C]105[/C][C]20[/C][C]21.6508820167343[/C][C]-1.65088201673433[/C][/ROW]
[ROW][C]106[/C][C]17[/C][C]21.5712250830190[/C][C]-4.57122508301903[/C][/ROW]
[ROW][C]107[/C][C]18[/C][C]21.3506582770664[/C][C]-3.3506582770664[/C][/ROW]
[ROW][C]108[/C][C]19[/C][C]21.1889852068086[/C][C]-2.18898520680857[/C][/ROW]
[ROW][C]109[/C][C]22[/C][C]21.0833641825591[/C][C]0.916635817440902[/C][/ROW]
[ROW][C]110[/C][C]15[/C][C]21.1275929026074[/C][C]-6.12759290260742[/C][/ROW]
[ROW][C]111[/C][C]14[/C][C]20.8319295803775[/C][C]-6.8319295803775[/C][/ROW]
[ROW][C]112[/C][C]18[/C][C]20.5022812128896[/C][C]-2.50228121288955[/C][/ROW]
[ROW][C]113[/C][C]24[/C][C]20.3815433002515[/C][C]3.61845669974848[/C][/ROW]
[ROW][C]114[/C][C]35[/C][C]20.5561379487859[/C][C]14.4438620512141[/C][/ROW]
[ROW][C]115[/C][C]29[/C][C]21.2530707097850[/C][C]7.74692929021497[/C][/ROW]
[ROW][C]116[/C][C]21[/C][C]21.6268688532698[/C][C]-0.626868853269823[/C][/ROW]
[ROW][C]117[/C][C]25[/C][C]21.5966217185946[/C][C]3.40337828140542[/C][/ROW]
[ROW][C]118[/C][C]20[/C][C]21.7608385889838[/C][C]-1.76083858898382[/C][/ROW]
[ROW][C]119[/C][C]22[/C][C]21.6758761256798[/C][C]0.324123874320179[/C][/ROW]
[ROW][C]120[/C][C]13[/C][C]21.691515471018[/C][C]-8.69151547101798[/C][/ROW]
[ROW][C]121[/C][C]26[/C][C]21.272139970684[/C][C]4.72786002931599[/C][/ROW]
[ROW][C]122[/C][C]17[/C][C]21.5002645908282[/C][C]-4.50026459082821[/C][/ROW]
[ROW][C]123[/C][C]25[/C][C]21.2831217092781[/C][C]3.71687829072187[/C][/ROW]
[ROW][C]124[/C][C]20[/C][C]21.4624653114439[/C][C]-1.46246531144392[/C][/ROW]
[ROW][C]125[/C][C]19[/C][C]21.3918996979151[/C][C]-2.39189969791506[/C][/ROW]
[ROW][C]126[/C][C]21[/C][C]21.2764878188352[/C][C]-0.276487818835207[/C][/ROW]
[ROW][C]127[/C][C]22[/C][C]21.2631469673178[/C][C]0.73685303268222[/C][/ROW]
[ROW][C]128[/C][C]24[/C][C]21.2987009636587[/C][C]2.70129903634129[/C][/ROW]
[ROW][C]129[/C][C]21[/C][C]21.4290417124838[/C][C]-0.429041712483798[/C][/ROW]
[ROW][C]130[/C][C]26[/C][C]21.4083399622037[/C][C]4.59166003779635[/C][/ROW]
[ROW][C]131[/C][C]24[/C][C]21.6298927779509[/C][C]2.37010722204915[/C][/ROW]
[ROW][C]132[/C][C]16[/C][C]21.7442531453006[/C][C]-5.74425314530065[/C][/ROW]
[ROW][C]133[/C][C]23[/C][C]21.4670864020683[/C][C]1.53291359793169[/C][/ROW]
[ROW][C]134[/C][C]18[/C][C]21.5410512254924[/C][C]-3.54105122549237[/C][/ROW]
[ROW][C]135[/C][C]16[/C][C]21.3701914790706[/C][C]-5.37019147907059[/C][/ROW]
[ROW][C]136[/C][C]26[/C][C]21.1110736363958[/C][C]4.88892636360417[/C][/ROW]
[ROW][C]137[/C][C]19[/C][C]21.3469698902389[/C][C]-2.34696989023892[/C][/ROW]
[ROW][C]138[/C][C]21[/C][C]21.2337259254471[/C][C]-0.233725925447079[/C][/ROW]
[ROW][C]139[/C][C]21[/C][C]21.2224483838892[/C][C]-0.222448383889194[/C][/ROW]
[ROW][C]140[/C][C]22[/C][C]21.2117149965296[/C][C]0.788285003470364[/C][/ROW]
[ROW][C]141[/C][C]23[/C][C]21.2497506439192[/C][C]1.75024935608085[/C][/ROW]
[ROW][C]142[/C][C]29[/C][C]21.3342021646998[/C][C]7.66579783530024[/C][/ROW]
[ROW][C]143[/C][C]21[/C][C]21.7040856232701[/C][C]-0.70408562327015[/C][/ROW]
[ROW][C]144[/C][C]21[/C][C]21.6701126916771[/C][C]-0.670112691677094[/C][/ROW]
[ROW][C]145[/C][C]23[/C][C]21.6377789926474[/C][C]1.36222100735265[/C][/ROW]
[ROW][C]146[/C][C]27[/C][C]21.7035077045652[/C][C]5.29649229543481[/C][/ROW]
[ROW][C]147[/C][C]25[/C][C]21.9590694778623[/C][C]3.04093052213765[/C][/ROW]
[ROW][C]148[/C][C]21[/C][C]22.1057978319054[/C][C]-1.10579783190542[/C][/ROW]
[ROW][C]149[/C][C]10[/C][C]22.0524418296559[/C][C]-12.0524418296559[/C][/ROW]
[ROW][C]150[/C][C]20[/C][C]21.4708978124574[/C][C]-1.47089781245744[/C][/ROW]
[ROW][C]151[/C][C]26[/C][C]21.3999253211702[/C][C]4.60007467882977[/C][/ROW]
[ROW][C]152[/C][C]24[/C][C]21.6218841529114[/C][C]2.37811584708855[/C][/ROW]
[ROW][C]153[/C][C]29[/C][C]21.7366309455221[/C][C]7.26336905447793[/C][/ROW]
[ROW][C]154[/C][C]19[/C][C]22.0870967580135[/C][C]-3.08709675801349[/C][/ROW]
[ROW][C]155[/C][C]24[/C][C]21.9381408306164[/C][C]2.06185916938357[/C][/ROW]
[ROW][C]156[/C][C]19[/C][C]22.0376278790675[/C][C]-3.03762787906751[/C][/ROW]
[ROW][C]157[/C][C]24[/C][C]21.8910588813064[/C][C]2.10894111869361[/C][/ROW]
[ROW][C]158[/C][C]22[/C][C]21.9928176873255[/C][C]0.00718231267454428[/C][/ROW]
[ROW][C]159[/C][C]17[/C][C]21.9931642420755[/C][C]-4.99316424207549[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103343&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103343&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
225241
33024.04825113660935.9517488633907
41924.3354297840810-5.33542978408105
52224.0779892327-2.07798923269999
62223.9777238903603-1.97772389036032
72523.88229646475111.11770353524894
82323.9362269307191-0.936226930719062
91723.8910529171876-6.89105291718763
102123.5585517814985-2.55855178149845
111923.4350987499674-4.43509874996739
121923.2211001943070-4.22110019430695
131523.0174273121899-8.01742731218988
141622.6305773316942-6.63057733169423
152322.31064443906410.689355560935908
162722.34390662840724.65609337159281
172222.5685684257456-0.568568425745596
181422.5411343529632-8.54113435296321
192222.1290149125000-0.129014912499951
202322.12278979633230.877210203667723
212322.16511618570450.834883814295473
222122.205400278681-1.20540027868100
231922.1472383451655-3.14723834516547
241821.9953805178308-3.99538051783084
252021.8025988666588-1.80259886665883
262321.71562142249191.28437857750811
272521.77759414869333.22240585130670
281921.9330788936353-2.93307889363533
292421.79155450325272.20844549674734
302221.89811450861040.101885491389581
312521.90303059937403.09696940062604
322622.05246289299843.94753710700159
332922.24293604521866.75706395478135
343222.56897206117869.43102793882139
352523.02402987862091.97597012137914
362923.11937268288345.88062731711657
372823.40311963491004.59688036508997
381723.6249243373826-6.62492433738262
392823.30526420815334.69473579184674
402923.53179054619035.46820945380975
412623.79563786755432.20436213244568
422523.90200084594331.09799915405667
431423.9549805531226-9.95498055312262
442523.47464142651091.52535857348907
452623.54824171141852.45175828858147
462023.6665418355339-3.66654183553387
471823.4896270245438-5.48962702454379
483223.22474628104848.7752537189516
492523.64816224702281.35183775297716
502523.71338995511541.28661004488464
512323.775470352154-0.775470352153995
522123.7380530262557-2.73805302625575
532023.6059388556424-3.60593885564236
541523.4319482073140-8.43194820731396
553023.02509712248036.97490287751974
562423.36164411406010.638355885939895
572623.39244551111792.60755448888206
582423.51826297897720.481737021022802
592223.5415073377883-1.54150733778833
601423.4671278566485-9.46712785664846
612423.01032817713960.989671822860448
622423.05808096746280.941919032537228
632423.10352963137660.896470368623369
642423.14678534559930.853214654400727
651923.1879539224458-4.18795392244582
663122.98588038562048.01411961437958
672223.3725707659372-1.37257076593716
682723.3063426664043.69365733359601
691923.4845658309953-4.48456583099529
702523.26818043245051.73181956754949
712023.351742694987-3.35174269498701
722123.1900173003319-2.19001730033195
732723.08434647639693.91565352360311
742323.2732812094790-0.273281209478967
752523.26009508050761.73990491949236
762023.3440474704653-3.34404747046527
772123.1826933791399-2.18269337913985
782223.0773759427267-1.07737594272675
792323.0253913289347-0.0253913289346634
802523.02416616845351.97583383154645
812523.11950239657681.88049760342322
821723.2102385433330-6.21023854333303
831922.9105874750023-3.91058747500229
842522.72189718452332.27810281547668
851922.8318182346829-3.83181823468293
862022.6469286495792-2.64692864957922
872622.51921133371333.48078866628672
882322.68716334315840.312836656841597
892722.70225806742414.29774193257593
901722.9096290005243-5.90962900052433
911722.6244826843097-5.62448268430971
921922.3530950019524-3.35309500195241
931722.1913043569492-5.19130435694922
942221.94081802124160.0591819787584171
952121.9436736189835-0.943673618983464
963221.898140294279310.1018597057207
972122.3855665069481-1.38556650694806
982122.3187113481400-1.31871134814003
991822.2550820267327-4.25508202673268
1001822.049769482577-4.04976948257701
1012321.8543635020371.14563649796301
1021921.9096417652048-2.90964176520481
1032021.7692482429078-1.76924824290777
1042121.6838800042435-0.683880004243452
1052021.6508820167343-1.65088201673433
1061721.5712250830190-4.57122508301903
1071821.3506582770664-3.3506582770664
1081921.1889852068086-2.18898520680857
1092221.08336418255910.916635817440902
1101521.1275929026074-6.12759290260742
1111420.8319295803775-6.8319295803775
1121820.5022812128896-2.50228121288955
1132420.38154330025153.61845669974848
1143520.556137948785914.4438620512141
1152921.25307070978507.74692929021497
1162121.6268688532698-0.626868853269823
1172521.59662171859463.40337828140542
1182021.7608385889838-1.76083858898382
1192221.67587612567980.324123874320179
1201321.691515471018-8.69151547101798
1212621.2721399706844.72786002931599
1221721.5002645908282-4.50026459082821
1232521.28312170927813.71687829072187
1242021.4624653114439-1.46246531144392
1251921.3918996979151-2.39189969791506
1262121.2764878188352-0.276487818835207
1272221.26314696731780.73685303268222
1282421.29870096365872.70129903634129
1292121.4290417124838-0.429041712483798
1302621.40833996220374.59166003779635
1312421.62989277795092.37010722204915
1321621.7442531453006-5.74425314530065
1332321.46708640206831.53291359793169
1341821.5410512254924-3.54105122549237
1351621.3701914790706-5.37019147907059
1362621.11107363639584.88892636360417
1371921.3469698902389-2.34696989023892
1382121.2337259254471-0.233725925447079
1392121.2224483838892-0.222448383889194
1402221.21171499652960.788285003470364
1412321.24975064391921.75024935608085
1422921.33420216469987.66579783530024
1432121.7040856232701-0.70408562327015
1442121.6701126916771-0.670112691677094
1452321.63777899264741.36222100735265
1462721.70350770456525.29649229543481
1472521.95906947786233.04093052213765
1482122.1057978319054-1.10579783190542
1491022.0524418296559-12.0524418296559
1502021.4708978124574-1.47089781245744
1512621.39992532117024.60007467882977
1522421.62188415291142.37811584708855
1532921.73663094552217.26336905447793
1541922.0870967580135-3.08709675801349
1552421.93814083061642.06185916938357
1561922.0376278790675-3.03762787906751
1572421.89105888130642.10894111869361
1582221.99281768732550.00718231267454428
1591721.9931642420755-4.99316424207549







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
16021.752238392118413.397568720435930.1069080638009
16121.752238392118413.387848819779130.1166279644577
16221.752238392118413.378140201101830.126336583135
16321.752238392118413.368442825209830.1360339590270
16421.752238392118413.358756653135230.1457201311016
16521.752238392118413.349081646134730.1553951381022
16621.752238392118413.339417765687530.1650590185493
16721.752238392118413.329764973494430.1747118107425
16821.752238392118413.320123231474730.1843535527621
16921.752238392118413.310492501765830.193984282471
17021.752238392118413.300872746720430.2036040375164
17121.752238392118413.291263928905430.2132128553314

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
160 & 21.7522383921184 & 13.3975687204359 & 30.1069080638009 \tabularnewline
161 & 21.7522383921184 & 13.3878488197791 & 30.1166279644577 \tabularnewline
162 & 21.7522383921184 & 13.3781402011018 & 30.126336583135 \tabularnewline
163 & 21.7522383921184 & 13.3684428252098 & 30.1360339590270 \tabularnewline
164 & 21.7522383921184 & 13.3587566531352 & 30.1457201311016 \tabularnewline
165 & 21.7522383921184 & 13.3490816461347 & 30.1553951381022 \tabularnewline
166 & 21.7522383921184 & 13.3394177656875 & 30.1650590185493 \tabularnewline
167 & 21.7522383921184 & 13.3297649734944 & 30.1747118107425 \tabularnewline
168 & 21.7522383921184 & 13.3201232314747 & 30.1843535527621 \tabularnewline
169 & 21.7522383921184 & 13.3104925017658 & 30.193984282471 \tabularnewline
170 & 21.7522383921184 & 13.3008727467204 & 30.2036040375164 \tabularnewline
171 & 21.7522383921184 & 13.2912639289054 & 30.2132128553314 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103343&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]160[/C][C]21.7522383921184[/C][C]13.3975687204359[/C][C]30.1069080638009[/C][/ROW]
[ROW][C]161[/C][C]21.7522383921184[/C][C]13.3878488197791[/C][C]30.1166279644577[/C][/ROW]
[ROW][C]162[/C][C]21.7522383921184[/C][C]13.3781402011018[/C][C]30.126336583135[/C][/ROW]
[ROW][C]163[/C][C]21.7522383921184[/C][C]13.3684428252098[/C][C]30.1360339590270[/C][/ROW]
[ROW][C]164[/C][C]21.7522383921184[/C][C]13.3587566531352[/C][C]30.1457201311016[/C][/ROW]
[ROW][C]165[/C][C]21.7522383921184[/C][C]13.3490816461347[/C][C]30.1553951381022[/C][/ROW]
[ROW][C]166[/C][C]21.7522383921184[/C][C]13.3394177656875[/C][C]30.1650590185493[/C][/ROW]
[ROW][C]167[/C][C]21.7522383921184[/C][C]13.3297649734944[/C][C]30.1747118107425[/C][/ROW]
[ROW][C]168[/C][C]21.7522383921184[/C][C]13.3201232314747[/C][C]30.1843535527621[/C][/ROW]
[ROW][C]169[/C][C]21.7522383921184[/C][C]13.3104925017658[/C][C]30.193984282471[/C][/ROW]
[ROW][C]170[/C][C]21.7522383921184[/C][C]13.3008727467204[/C][C]30.2036040375164[/C][/ROW]
[ROW][C]171[/C][C]21.7522383921184[/C][C]13.2912639289054[/C][C]30.2132128553314[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103343&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103343&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
16021.752238392118413.397568720435930.1069080638009
16121.752238392118413.387848819779130.1166279644577
16221.752238392118413.378140201101830.126336583135
16321.752238392118413.368442825209830.1360339590270
16421.752238392118413.358756653135230.1457201311016
16521.752238392118413.349081646134730.1553951381022
16621.752238392118413.339417765687530.1650590185493
16721.752238392118413.329764973494430.1747118107425
16821.752238392118413.320123231474730.1843535527621
16921.752238392118413.310492501765830.193984282471
17021.752238392118413.300872746720430.2036040375164
17121.752238392118413.291263928905430.2132128553314



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