Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 02 Jun 2010 09:05:52 +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/Jun/02/t1275469605l3azjhaq10zf4wa.htm/, Retrieved Thu, 25 Apr 2024 08:23:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76981, Retrieved Thu, 25 Apr 2024 08:23:09 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact125
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2010-06-02 09:05:52] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-   P     [Exponential Smoothing] [Exponential Smoot...] [2010-06-02 09:10:04] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
112
118
129
99
116
168
118
129
205
147
150
267
126
129
124
97
102
127
222
214
118
141
154
226
89
77
82
97
127
121
117
117
106
112
134
169
75
108
115
85
101
108
109
124
105
95
135
164
88
85
112
87
91
87
87
142
95
108
139
159
61
82
124
93
108
75
87
103
90
108
123
129
57
65
67
71
76
67
110
118
99
85
107
141
58
65
70
86
93
74
87
73
101
100
96
157
63
115
70
66
67
83
79
77
102
116
100
135
71
60
89
74
73
91
86
74
87
87
109
137
43
69
73
77
69
76
78
70
83
65
110
132
54
55
66
65
60
65
96
55
71
63
74
106
34
47
56
53
53
55
67
52
46
51
58
91
33
40
46
45
41
55
57
54
46
52
48
77
30
35
42
48
44
45
46




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server184.73.214.54 @ 184.73.214.54

\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 & 4 seconds \tabularnewline
R Server & 184.73.214.54 @ 184.73.214.54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76981&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]184.73.214.54 @ 184.73.214.54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76981&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76981&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 time4 seconds
R Server184.73.214.54 @ 184.73.214.54







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.152823208325162
beta0.147474162937433
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.152823208325162 \tabularnewline
beta & 0.147474162937433 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76981&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]0.152823208325162[/C][/ROW]
[ROW][C]beta[/C][C]0.147474162937433[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76981&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76981&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
alpha0.152823208325162
beta0.147474162937433
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
31291245
499130.876803415252-31.8768034152516
5116131.399552768518-15.3995527685179
6168134.09334139869733.9066586013035
7118145.086433902012-27.0864339020116
8129146.147906503835-17.1479065038352
9205148.34174623925656.6582537607441
10147163.091814142575-16.0918141425755
11150166.361314408516-16.3613144085161
12267169.22088606921997.7791139307813
13126191.727458497205-65.7274584972051
14129187.765101009866-58.765101009866
15124183.542336352517-59.5423363525171
1697177.858858195858-80.8588581958583
17102167.095366307872-65.0953663078718
18127157.273816651726-30.273816651726
19222152.09151255526469.9084874447363
20214163.7949503570950.2050496429099
21118173.618740616409-55.6187406164089
22141166.016693770282-25.0166937702818
23154162.527536800942-8.52753680094168
24226161.36611655711464.6338834428858
2589172.842143795057-83.8421437950573
2677159.737997994439-82.7379979944389
2782144.937885758919-62.9378857589193
2897131.745229190883-34.745229190883
29127122.0779951260744.92200487392613
30121118.5837645968772.41623540312274
31117114.7610501821572.23894981784284
32117110.9617026904356.03829730956465
33106107.879071644938-1.87907164493795
34112103.5441333446158.45586665538512
35134100.97918735421533.0208126457851
36169102.91254095281166.087459047189
3775111.38868998095-36.3886899809497
38108103.3839959570734.61600404292662
39115101.74980390476613.2501960952339
4085101.733742742788-16.7337427427879
4110196.75830354523474.24169645476528
4210895.083995388522112.9160046114779
4310995.026416961800713.9735830381993
4412495.445390337849828.5546096621502
4510598.73623177679346.2637682232066
469598.761684828785-3.76168482878495
4713597.170237103705137.8297628962949
48164102.78751518399461.2124848160055
4988113.357790676834-25.3577906768345
5085110.1266183568-25.1266183568003
51112106.3644840062445.63551599375556
5287107.430528021343-20.4305280213427
5391104.052623052806-13.052623052806
5487101.508060030129-14.5080600301295
558798.414097422823-11.4140974228231
5614295.535719175425946.4642808245741
5795102.54968793916-7.54968793916002
58108101.1389178009346.86108219906647
59139102.08507925631636.914920743684
60159108.45613383381650.5438661661844
6161118.049138683103-57.0491386831028
6282109.913691816814-27.9136918168143
63124105.60171329281218.3982867071882
6493108.781930832383-15.781930832383
65108106.3829329990561.61706700094427
6675106.679350442923-31.6793504429228
6787101.173329987367-14.1733299873671
6810398.02320467647374.97679532352632
699097.9118273542362-7.91182735423615
7010895.652456754464612.3475432455354
7112396.767470612212726.2325293877873
72129100.59564756782528.4043524321754
7357105.395891864019-48.3958918640192
746597.368555237026-32.368555237026
756791.0610621187327-24.0610621187327
767185.4808711725545-14.4808711725545
777681.0383934750891-5.03839347508912
786777.925392848289-10.9253928482889
7911073.666491324687336.3335086753127
8011877.448712287291840.5512877127082
819982.789431396295816.2105686037042
828584.77566899830680.224331001693187
8310784.323894335210922.6761056647891
8414187.814334067008253.1856659329918
855897.1660132852881-39.1660132852881
866591.5215095567116-26.5215095567116
877087.211651604308-17.211651604308
888683.93664885023182.06335114976824
899383.65381658189689.34618341810318
907484.6946094790651-10.6946094790651
918782.43167461747814.56832538252191
927382.6042289477417-9.60422894774166
9310180.394432987927320.6055670120727
9410083.265792415272516.7342075847275
959685.922665054837510.0773349451625
9615787.789330741835869.2106692581642
9763100.252776006629-37.2527760066291
9811595.606552499014819.3934475009852
9970100.054265940226-30.0542659402255
1006696.267873909996-30.267873909996
1016791.7666761812713-24.7666761812713
1028387.5480108006196-4.54801080061955
1037986.3167260530232-7.31672605302317
1047784.4974168291247-7.49741682912469
10510282.481521018817219.5184789811828
10611685.034178308731230.9658216912688
10710090.03414666210939.96585333789074
10813592.049437644714642.9505623552854
10971100.073554898544-29.0735548985441
1106096.435470968159-36.435470968159
1118990.8511518985503-1.85115189855031
1127490.5103991377743-16.5103991377743
1137387.5572704789984-14.5572704789984
1149184.57454109264056.42545890735946
1158684.94327334824681.05672665175322
1167484.5153546661178-10.5153546661178
1178782.08196384997834.91803615002172
1188782.11799344912594.88200655087414
11910982.258544988585526.7414550114145
12013786.342412440437350.6575875595627
1214395.2229140982885-52.2229140982885
1226987.20391481212-18.2039148121201
1237383.973537870898-10.973537870898
1247781.6008144988228-4.60081449882281
1256980.0983004177545-11.0983004177545
1267677.35269202735-1.35269202734997
1277876.06595251587041.93404748412962
1287075.325091627755-5.32509162775503
1298373.3548516929139.64514830708693
1306573.8897891405026-8.88978914050257
13111071.391804583179138.6081954168209
13213277.022745643275754.9772543567243
1335486.3943072883557-32.3943072883557
1345581.6833806847044-26.6833806847044
1356677.243840189369-11.243840189369
1366574.9104120435154-9.91041204351536
1376072.5574070040354-12.5574070040354
1386569.5168674593012-4.5168674593012
1399667.603310178257728.3966898217423
1405571.3596979974331-16.3596979974331
1417167.90756475690843.09243524309156
1426367.4978646080997-4.49786460809969
1437465.82681997395968.17318002604037
14410666.276407871901339.7235921280987
1453472.4429004248403-38.4429004248403
1464765.7973329056275-18.7973329056275
1475661.7304196288082-5.73041962880821
1485359.5312847743102-6.53128477431024
1495357.062560473317-4.06256047331697
1505554.87955468648490.120445313515056
1516753.338523797648413.6614762023516
1525254.174771867893-2.17477186789298
1534652.541859834204-6.54185983420397
1545150.09411840579620.905881594203848
1555848.80498100078729.1950189992128
1569148.98984867655242.010151323448
1573355.1364328793738-22.1364328793738
1584050.9810309846959-10.9810309846959
1594648.2829486894455-2.28294868944553
1604546.8626833384443-1.86268333844433
1614145.4646641080699-4.46466410806987
1625543.568379573988911.4316204260111
1635744.359056099274712.6409439007253
1645445.61944027153418.38055972846588
1654646.4176155189542-0.417615518954165
1665245.86181339845326.13818660154681
1674846.44622921654281.55377078345722
1687746.365057970776230.6349420292238
1693051.4185988483316-21.4185988483316
1703548.0344294741013-13.0344294741013
1714245.637792637953-3.63779263795298
1724844.5951933309383.40480666906205
1734444.7056023892176-0.705602389217582
1744544.17194305166910.828056948330897
1754643.89132476710662.10867523289338

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 129 & 124 & 5 \tabularnewline
4 & 99 & 130.876803415252 & -31.8768034152516 \tabularnewline
5 & 116 & 131.399552768518 & -15.3995527685179 \tabularnewline
6 & 168 & 134.093341398697 & 33.9066586013035 \tabularnewline
7 & 118 & 145.086433902012 & -27.0864339020116 \tabularnewline
8 & 129 & 146.147906503835 & -17.1479065038352 \tabularnewline
9 & 205 & 148.341746239256 & 56.6582537607441 \tabularnewline
10 & 147 & 163.091814142575 & -16.0918141425755 \tabularnewline
11 & 150 & 166.361314408516 & -16.3613144085161 \tabularnewline
12 & 267 & 169.220886069219 & 97.7791139307813 \tabularnewline
13 & 126 & 191.727458497205 & -65.7274584972051 \tabularnewline
14 & 129 & 187.765101009866 & -58.765101009866 \tabularnewline
15 & 124 & 183.542336352517 & -59.5423363525171 \tabularnewline
16 & 97 & 177.858858195858 & -80.8588581958583 \tabularnewline
17 & 102 & 167.095366307872 & -65.0953663078718 \tabularnewline
18 & 127 & 157.273816651726 & -30.273816651726 \tabularnewline
19 & 222 & 152.091512555264 & 69.9084874447363 \tabularnewline
20 & 214 & 163.79495035709 & 50.2050496429099 \tabularnewline
21 & 118 & 173.618740616409 & -55.6187406164089 \tabularnewline
22 & 141 & 166.016693770282 & -25.0166937702818 \tabularnewline
23 & 154 & 162.527536800942 & -8.52753680094168 \tabularnewline
24 & 226 & 161.366116557114 & 64.6338834428858 \tabularnewline
25 & 89 & 172.842143795057 & -83.8421437950573 \tabularnewline
26 & 77 & 159.737997994439 & -82.7379979944389 \tabularnewline
27 & 82 & 144.937885758919 & -62.9378857589193 \tabularnewline
28 & 97 & 131.745229190883 & -34.745229190883 \tabularnewline
29 & 127 & 122.077995126074 & 4.92200487392613 \tabularnewline
30 & 121 & 118.583764596877 & 2.41623540312274 \tabularnewline
31 & 117 & 114.761050182157 & 2.23894981784284 \tabularnewline
32 & 117 & 110.961702690435 & 6.03829730956465 \tabularnewline
33 & 106 & 107.879071644938 & -1.87907164493795 \tabularnewline
34 & 112 & 103.544133344615 & 8.45586665538512 \tabularnewline
35 & 134 & 100.979187354215 & 33.0208126457851 \tabularnewline
36 & 169 & 102.912540952811 & 66.087459047189 \tabularnewline
37 & 75 & 111.38868998095 & -36.3886899809497 \tabularnewline
38 & 108 & 103.383995957073 & 4.61600404292662 \tabularnewline
39 & 115 & 101.749803904766 & 13.2501960952339 \tabularnewline
40 & 85 & 101.733742742788 & -16.7337427427879 \tabularnewline
41 & 101 & 96.7583035452347 & 4.24169645476528 \tabularnewline
42 & 108 & 95.0839953885221 & 12.9160046114779 \tabularnewline
43 & 109 & 95.0264169618007 & 13.9735830381993 \tabularnewline
44 & 124 & 95.4453903378498 & 28.5546096621502 \tabularnewline
45 & 105 & 98.7362317767934 & 6.2637682232066 \tabularnewline
46 & 95 & 98.761684828785 & -3.76168482878495 \tabularnewline
47 & 135 & 97.1702371037051 & 37.8297628962949 \tabularnewline
48 & 164 & 102.787515183994 & 61.2124848160055 \tabularnewline
49 & 88 & 113.357790676834 & -25.3577906768345 \tabularnewline
50 & 85 & 110.1266183568 & -25.1266183568003 \tabularnewline
51 & 112 & 106.364484006244 & 5.63551599375556 \tabularnewline
52 & 87 & 107.430528021343 & -20.4305280213427 \tabularnewline
53 & 91 & 104.052623052806 & -13.052623052806 \tabularnewline
54 & 87 & 101.508060030129 & -14.5080600301295 \tabularnewline
55 & 87 & 98.414097422823 & -11.4140974228231 \tabularnewline
56 & 142 & 95.5357191754259 & 46.4642808245741 \tabularnewline
57 & 95 & 102.54968793916 & -7.54968793916002 \tabularnewline
58 & 108 & 101.138917800934 & 6.86108219906647 \tabularnewline
59 & 139 & 102.085079256316 & 36.914920743684 \tabularnewline
60 & 159 & 108.456133833816 & 50.5438661661844 \tabularnewline
61 & 61 & 118.049138683103 & -57.0491386831028 \tabularnewline
62 & 82 & 109.913691816814 & -27.9136918168143 \tabularnewline
63 & 124 & 105.601713292812 & 18.3982867071882 \tabularnewline
64 & 93 & 108.781930832383 & -15.781930832383 \tabularnewline
65 & 108 & 106.382932999056 & 1.61706700094427 \tabularnewline
66 & 75 & 106.679350442923 & -31.6793504429228 \tabularnewline
67 & 87 & 101.173329987367 & -14.1733299873671 \tabularnewline
68 & 103 & 98.0232046764737 & 4.97679532352632 \tabularnewline
69 & 90 & 97.9118273542362 & -7.91182735423615 \tabularnewline
70 & 108 & 95.6524567544646 & 12.3475432455354 \tabularnewline
71 & 123 & 96.7674706122127 & 26.2325293877873 \tabularnewline
72 & 129 & 100.595647567825 & 28.4043524321754 \tabularnewline
73 & 57 & 105.395891864019 & -48.3958918640192 \tabularnewline
74 & 65 & 97.368555237026 & -32.368555237026 \tabularnewline
75 & 67 & 91.0610621187327 & -24.0610621187327 \tabularnewline
76 & 71 & 85.4808711725545 & -14.4808711725545 \tabularnewline
77 & 76 & 81.0383934750891 & -5.03839347508912 \tabularnewline
78 & 67 & 77.925392848289 & -10.9253928482889 \tabularnewline
79 & 110 & 73.6664913246873 & 36.3335086753127 \tabularnewline
80 & 118 & 77.4487122872918 & 40.5512877127082 \tabularnewline
81 & 99 & 82.7894313962958 & 16.2105686037042 \tabularnewline
82 & 85 & 84.7756689983068 & 0.224331001693187 \tabularnewline
83 & 107 & 84.3238943352109 & 22.6761056647891 \tabularnewline
84 & 141 & 87.8143340670082 & 53.1856659329918 \tabularnewline
85 & 58 & 97.1660132852881 & -39.1660132852881 \tabularnewline
86 & 65 & 91.5215095567116 & -26.5215095567116 \tabularnewline
87 & 70 & 87.211651604308 & -17.211651604308 \tabularnewline
88 & 86 & 83.9366488502318 & 2.06335114976824 \tabularnewline
89 & 93 & 83.6538165818968 & 9.34618341810318 \tabularnewline
90 & 74 & 84.6946094790651 & -10.6946094790651 \tabularnewline
91 & 87 & 82.4316746174781 & 4.56832538252191 \tabularnewline
92 & 73 & 82.6042289477417 & -9.60422894774166 \tabularnewline
93 & 101 & 80.3944329879273 & 20.6055670120727 \tabularnewline
94 & 100 & 83.2657924152725 & 16.7342075847275 \tabularnewline
95 & 96 & 85.9226650548375 & 10.0773349451625 \tabularnewline
96 & 157 & 87.7893307418358 & 69.2106692581642 \tabularnewline
97 & 63 & 100.252776006629 & -37.2527760066291 \tabularnewline
98 & 115 & 95.6065524990148 & 19.3934475009852 \tabularnewline
99 & 70 & 100.054265940226 & -30.0542659402255 \tabularnewline
100 & 66 & 96.267873909996 & -30.267873909996 \tabularnewline
101 & 67 & 91.7666761812713 & -24.7666761812713 \tabularnewline
102 & 83 & 87.5480108006196 & -4.54801080061955 \tabularnewline
103 & 79 & 86.3167260530232 & -7.31672605302317 \tabularnewline
104 & 77 & 84.4974168291247 & -7.49741682912469 \tabularnewline
105 & 102 & 82.4815210188172 & 19.5184789811828 \tabularnewline
106 & 116 & 85.0341783087312 & 30.9658216912688 \tabularnewline
107 & 100 & 90.0341466621093 & 9.96585333789074 \tabularnewline
108 & 135 & 92.0494376447146 & 42.9505623552854 \tabularnewline
109 & 71 & 100.073554898544 & -29.0735548985441 \tabularnewline
110 & 60 & 96.435470968159 & -36.435470968159 \tabularnewline
111 & 89 & 90.8511518985503 & -1.85115189855031 \tabularnewline
112 & 74 & 90.5103991377743 & -16.5103991377743 \tabularnewline
113 & 73 & 87.5572704789984 & -14.5572704789984 \tabularnewline
114 & 91 & 84.5745410926405 & 6.42545890735946 \tabularnewline
115 & 86 & 84.9432733482468 & 1.05672665175322 \tabularnewline
116 & 74 & 84.5153546661178 & -10.5153546661178 \tabularnewline
117 & 87 & 82.0819638499783 & 4.91803615002172 \tabularnewline
118 & 87 & 82.1179934491259 & 4.88200655087414 \tabularnewline
119 & 109 & 82.2585449885855 & 26.7414550114145 \tabularnewline
120 & 137 & 86.3424124404373 & 50.6575875595627 \tabularnewline
121 & 43 & 95.2229140982885 & -52.2229140982885 \tabularnewline
122 & 69 & 87.20391481212 & -18.2039148121201 \tabularnewline
123 & 73 & 83.973537870898 & -10.973537870898 \tabularnewline
124 & 77 & 81.6008144988228 & -4.60081449882281 \tabularnewline
125 & 69 & 80.0983004177545 & -11.0983004177545 \tabularnewline
126 & 76 & 77.35269202735 & -1.35269202734997 \tabularnewline
127 & 78 & 76.0659525158704 & 1.93404748412962 \tabularnewline
128 & 70 & 75.325091627755 & -5.32509162775503 \tabularnewline
129 & 83 & 73.354851692913 & 9.64514830708693 \tabularnewline
130 & 65 & 73.8897891405026 & -8.88978914050257 \tabularnewline
131 & 110 & 71.3918045831791 & 38.6081954168209 \tabularnewline
132 & 132 & 77.0227456432757 & 54.9772543567243 \tabularnewline
133 & 54 & 86.3943072883557 & -32.3943072883557 \tabularnewline
134 & 55 & 81.6833806847044 & -26.6833806847044 \tabularnewline
135 & 66 & 77.243840189369 & -11.243840189369 \tabularnewline
136 & 65 & 74.9104120435154 & -9.91041204351536 \tabularnewline
137 & 60 & 72.5574070040354 & -12.5574070040354 \tabularnewline
138 & 65 & 69.5168674593012 & -4.5168674593012 \tabularnewline
139 & 96 & 67.6033101782577 & 28.3966898217423 \tabularnewline
140 & 55 & 71.3596979974331 & -16.3596979974331 \tabularnewline
141 & 71 & 67.9075647569084 & 3.09243524309156 \tabularnewline
142 & 63 & 67.4978646080997 & -4.49786460809969 \tabularnewline
143 & 74 & 65.8268199739596 & 8.17318002604037 \tabularnewline
144 & 106 & 66.2764078719013 & 39.7235921280987 \tabularnewline
145 & 34 & 72.4429004248403 & -38.4429004248403 \tabularnewline
146 & 47 & 65.7973329056275 & -18.7973329056275 \tabularnewline
147 & 56 & 61.7304196288082 & -5.73041962880821 \tabularnewline
148 & 53 & 59.5312847743102 & -6.53128477431024 \tabularnewline
149 & 53 & 57.062560473317 & -4.06256047331697 \tabularnewline
150 & 55 & 54.8795546864849 & 0.120445313515056 \tabularnewline
151 & 67 & 53.3385237976484 & 13.6614762023516 \tabularnewline
152 & 52 & 54.174771867893 & -2.17477186789298 \tabularnewline
153 & 46 & 52.541859834204 & -6.54185983420397 \tabularnewline
154 & 51 & 50.0941184057962 & 0.905881594203848 \tabularnewline
155 & 58 & 48.8049810007872 & 9.1950189992128 \tabularnewline
156 & 91 & 48.989848676552 & 42.010151323448 \tabularnewline
157 & 33 & 55.1364328793738 & -22.1364328793738 \tabularnewline
158 & 40 & 50.9810309846959 & -10.9810309846959 \tabularnewline
159 & 46 & 48.2829486894455 & -2.28294868944553 \tabularnewline
160 & 45 & 46.8626833384443 & -1.86268333844433 \tabularnewline
161 & 41 & 45.4646641080699 & -4.46466410806987 \tabularnewline
162 & 55 & 43.5683795739889 & 11.4316204260111 \tabularnewline
163 & 57 & 44.3590560992747 & 12.6409439007253 \tabularnewline
164 & 54 & 45.6194402715341 & 8.38055972846588 \tabularnewline
165 & 46 & 46.4176155189542 & -0.417615518954165 \tabularnewline
166 & 52 & 45.8618133984532 & 6.13818660154681 \tabularnewline
167 & 48 & 46.4462292165428 & 1.55377078345722 \tabularnewline
168 & 77 & 46.3650579707762 & 30.6349420292238 \tabularnewline
169 & 30 & 51.4185988483316 & -21.4185988483316 \tabularnewline
170 & 35 & 48.0344294741013 & -13.0344294741013 \tabularnewline
171 & 42 & 45.637792637953 & -3.63779263795298 \tabularnewline
172 & 48 & 44.595193330938 & 3.40480666906205 \tabularnewline
173 & 44 & 44.7056023892176 & -0.705602389217582 \tabularnewline
174 & 45 & 44.1719430516691 & 0.828056948330897 \tabularnewline
175 & 46 & 43.8913247671066 & 2.10867523289338 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76981&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]129[/C][C]124[/C][C]5[/C][/ROW]
[ROW][C]4[/C][C]99[/C][C]130.876803415252[/C][C]-31.8768034152516[/C][/ROW]
[ROW][C]5[/C][C]116[/C][C]131.399552768518[/C][C]-15.3995527685179[/C][/ROW]
[ROW][C]6[/C][C]168[/C][C]134.093341398697[/C][C]33.9066586013035[/C][/ROW]
[ROW][C]7[/C][C]118[/C][C]145.086433902012[/C][C]-27.0864339020116[/C][/ROW]
[ROW][C]8[/C][C]129[/C][C]146.147906503835[/C][C]-17.1479065038352[/C][/ROW]
[ROW][C]9[/C][C]205[/C][C]148.341746239256[/C][C]56.6582537607441[/C][/ROW]
[ROW][C]10[/C][C]147[/C][C]163.091814142575[/C][C]-16.0918141425755[/C][/ROW]
[ROW][C]11[/C][C]150[/C][C]166.361314408516[/C][C]-16.3613144085161[/C][/ROW]
[ROW][C]12[/C][C]267[/C][C]169.220886069219[/C][C]97.7791139307813[/C][/ROW]
[ROW][C]13[/C][C]126[/C][C]191.727458497205[/C][C]-65.7274584972051[/C][/ROW]
[ROW][C]14[/C][C]129[/C][C]187.765101009866[/C][C]-58.765101009866[/C][/ROW]
[ROW][C]15[/C][C]124[/C][C]183.542336352517[/C][C]-59.5423363525171[/C][/ROW]
[ROW][C]16[/C][C]97[/C][C]177.858858195858[/C][C]-80.8588581958583[/C][/ROW]
[ROW][C]17[/C][C]102[/C][C]167.095366307872[/C][C]-65.0953663078718[/C][/ROW]
[ROW][C]18[/C][C]127[/C][C]157.273816651726[/C][C]-30.273816651726[/C][/ROW]
[ROW][C]19[/C][C]222[/C][C]152.091512555264[/C][C]69.9084874447363[/C][/ROW]
[ROW][C]20[/C][C]214[/C][C]163.79495035709[/C][C]50.2050496429099[/C][/ROW]
[ROW][C]21[/C][C]118[/C][C]173.618740616409[/C][C]-55.6187406164089[/C][/ROW]
[ROW][C]22[/C][C]141[/C][C]166.016693770282[/C][C]-25.0166937702818[/C][/ROW]
[ROW][C]23[/C][C]154[/C][C]162.527536800942[/C][C]-8.52753680094168[/C][/ROW]
[ROW][C]24[/C][C]226[/C][C]161.366116557114[/C][C]64.6338834428858[/C][/ROW]
[ROW][C]25[/C][C]89[/C][C]172.842143795057[/C][C]-83.8421437950573[/C][/ROW]
[ROW][C]26[/C][C]77[/C][C]159.737997994439[/C][C]-82.7379979944389[/C][/ROW]
[ROW][C]27[/C][C]82[/C][C]144.937885758919[/C][C]-62.9378857589193[/C][/ROW]
[ROW][C]28[/C][C]97[/C][C]131.745229190883[/C][C]-34.745229190883[/C][/ROW]
[ROW][C]29[/C][C]127[/C][C]122.077995126074[/C][C]4.92200487392613[/C][/ROW]
[ROW][C]30[/C][C]121[/C][C]118.583764596877[/C][C]2.41623540312274[/C][/ROW]
[ROW][C]31[/C][C]117[/C][C]114.761050182157[/C][C]2.23894981784284[/C][/ROW]
[ROW][C]32[/C][C]117[/C][C]110.961702690435[/C][C]6.03829730956465[/C][/ROW]
[ROW][C]33[/C][C]106[/C][C]107.879071644938[/C][C]-1.87907164493795[/C][/ROW]
[ROW][C]34[/C][C]112[/C][C]103.544133344615[/C][C]8.45586665538512[/C][/ROW]
[ROW][C]35[/C][C]134[/C][C]100.979187354215[/C][C]33.0208126457851[/C][/ROW]
[ROW][C]36[/C][C]169[/C][C]102.912540952811[/C][C]66.087459047189[/C][/ROW]
[ROW][C]37[/C][C]75[/C][C]111.38868998095[/C][C]-36.3886899809497[/C][/ROW]
[ROW][C]38[/C][C]108[/C][C]103.383995957073[/C][C]4.61600404292662[/C][/ROW]
[ROW][C]39[/C][C]115[/C][C]101.749803904766[/C][C]13.2501960952339[/C][/ROW]
[ROW][C]40[/C][C]85[/C][C]101.733742742788[/C][C]-16.7337427427879[/C][/ROW]
[ROW][C]41[/C][C]101[/C][C]96.7583035452347[/C][C]4.24169645476528[/C][/ROW]
[ROW][C]42[/C][C]108[/C][C]95.0839953885221[/C][C]12.9160046114779[/C][/ROW]
[ROW][C]43[/C][C]109[/C][C]95.0264169618007[/C][C]13.9735830381993[/C][/ROW]
[ROW][C]44[/C][C]124[/C][C]95.4453903378498[/C][C]28.5546096621502[/C][/ROW]
[ROW][C]45[/C][C]105[/C][C]98.7362317767934[/C][C]6.2637682232066[/C][/ROW]
[ROW][C]46[/C][C]95[/C][C]98.761684828785[/C][C]-3.76168482878495[/C][/ROW]
[ROW][C]47[/C][C]135[/C][C]97.1702371037051[/C][C]37.8297628962949[/C][/ROW]
[ROW][C]48[/C][C]164[/C][C]102.787515183994[/C][C]61.2124848160055[/C][/ROW]
[ROW][C]49[/C][C]88[/C][C]113.357790676834[/C][C]-25.3577906768345[/C][/ROW]
[ROW][C]50[/C][C]85[/C][C]110.1266183568[/C][C]-25.1266183568003[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]106.364484006244[/C][C]5.63551599375556[/C][/ROW]
[ROW][C]52[/C][C]87[/C][C]107.430528021343[/C][C]-20.4305280213427[/C][/ROW]
[ROW][C]53[/C][C]91[/C][C]104.052623052806[/C][C]-13.052623052806[/C][/ROW]
[ROW][C]54[/C][C]87[/C][C]101.508060030129[/C][C]-14.5080600301295[/C][/ROW]
[ROW][C]55[/C][C]87[/C][C]98.414097422823[/C][C]-11.4140974228231[/C][/ROW]
[ROW][C]56[/C][C]142[/C][C]95.5357191754259[/C][C]46.4642808245741[/C][/ROW]
[ROW][C]57[/C][C]95[/C][C]102.54968793916[/C][C]-7.54968793916002[/C][/ROW]
[ROW][C]58[/C][C]108[/C][C]101.138917800934[/C][C]6.86108219906647[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]102.085079256316[/C][C]36.914920743684[/C][/ROW]
[ROW][C]60[/C][C]159[/C][C]108.456133833816[/C][C]50.5438661661844[/C][/ROW]
[ROW][C]61[/C][C]61[/C][C]118.049138683103[/C][C]-57.0491386831028[/C][/ROW]
[ROW][C]62[/C][C]82[/C][C]109.913691816814[/C][C]-27.9136918168143[/C][/ROW]
[ROW][C]63[/C][C]124[/C][C]105.601713292812[/C][C]18.3982867071882[/C][/ROW]
[ROW][C]64[/C][C]93[/C][C]108.781930832383[/C][C]-15.781930832383[/C][/ROW]
[ROW][C]65[/C][C]108[/C][C]106.382932999056[/C][C]1.61706700094427[/C][/ROW]
[ROW][C]66[/C][C]75[/C][C]106.679350442923[/C][C]-31.6793504429228[/C][/ROW]
[ROW][C]67[/C][C]87[/C][C]101.173329987367[/C][C]-14.1733299873671[/C][/ROW]
[ROW][C]68[/C][C]103[/C][C]98.0232046764737[/C][C]4.97679532352632[/C][/ROW]
[ROW][C]69[/C][C]90[/C][C]97.9118273542362[/C][C]-7.91182735423615[/C][/ROW]
[ROW][C]70[/C][C]108[/C][C]95.6524567544646[/C][C]12.3475432455354[/C][/ROW]
[ROW][C]71[/C][C]123[/C][C]96.7674706122127[/C][C]26.2325293877873[/C][/ROW]
[ROW][C]72[/C][C]129[/C][C]100.595647567825[/C][C]28.4043524321754[/C][/ROW]
[ROW][C]73[/C][C]57[/C][C]105.395891864019[/C][C]-48.3958918640192[/C][/ROW]
[ROW][C]74[/C][C]65[/C][C]97.368555237026[/C][C]-32.368555237026[/C][/ROW]
[ROW][C]75[/C][C]67[/C][C]91.0610621187327[/C][C]-24.0610621187327[/C][/ROW]
[ROW][C]76[/C][C]71[/C][C]85.4808711725545[/C][C]-14.4808711725545[/C][/ROW]
[ROW][C]77[/C][C]76[/C][C]81.0383934750891[/C][C]-5.03839347508912[/C][/ROW]
[ROW][C]78[/C][C]67[/C][C]77.925392848289[/C][C]-10.9253928482889[/C][/ROW]
[ROW][C]79[/C][C]110[/C][C]73.6664913246873[/C][C]36.3335086753127[/C][/ROW]
[ROW][C]80[/C][C]118[/C][C]77.4487122872918[/C][C]40.5512877127082[/C][/ROW]
[ROW][C]81[/C][C]99[/C][C]82.7894313962958[/C][C]16.2105686037042[/C][/ROW]
[ROW][C]82[/C][C]85[/C][C]84.7756689983068[/C][C]0.224331001693187[/C][/ROW]
[ROW][C]83[/C][C]107[/C][C]84.3238943352109[/C][C]22.6761056647891[/C][/ROW]
[ROW][C]84[/C][C]141[/C][C]87.8143340670082[/C][C]53.1856659329918[/C][/ROW]
[ROW][C]85[/C][C]58[/C][C]97.1660132852881[/C][C]-39.1660132852881[/C][/ROW]
[ROW][C]86[/C][C]65[/C][C]91.5215095567116[/C][C]-26.5215095567116[/C][/ROW]
[ROW][C]87[/C][C]70[/C][C]87.211651604308[/C][C]-17.211651604308[/C][/ROW]
[ROW][C]88[/C][C]86[/C][C]83.9366488502318[/C][C]2.06335114976824[/C][/ROW]
[ROW][C]89[/C][C]93[/C][C]83.6538165818968[/C][C]9.34618341810318[/C][/ROW]
[ROW][C]90[/C][C]74[/C][C]84.6946094790651[/C][C]-10.6946094790651[/C][/ROW]
[ROW][C]91[/C][C]87[/C][C]82.4316746174781[/C][C]4.56832538252191[/C][/ROW]
[ROW][C]92[/C][C]73[/C][C]82.6042289477417[/C][C]-9.60422894774166[/C][/ROW]
[ROW][C]93[/C][C]101[/C][C]80.3944329879273[/C][C]20.6055670120727[/C][/ROW]
[ROW][C]94[/C][C]100[/C][C]83.2657924152725[/C][C]16.7342075847275[/C][/ROW]
[ROW][C]95[/C][C]96[/C][C]85.9226650548375[/C][C]10.0773349451625[/C][/ROW]
[ROW][C]96[/C][C]157[/C][C]87.7893307418358[/C][C]69.2106692581642[/C][/ROW]
[ROW][C]97[/C][C]63[/C][C]100.252776006629[/C][C]-37.2527760066291[/C][/ROW]
[ROW][C]98[/C][C]115[/C][C]95.6065524990148[/C][C]19.3934475009852[/C][/ROW]
[ROW][C]99[/C][C]70[/C][C]100.054265940226[/C][C]-30.0542659402255[/C][/ROW]
[ROW][C]100[/C][C]66[/C][C]96.267873909996[/C][C]-30.267873909996[/C][/ROW]
[ROW][C]101[/C][C]67[/C][C]91.7666761812713[/C][C]-24.7666761812713[/C][/ROW]
[ROW][C]102[/C][C]83[/C][C]87.5480108006196[/C][C]-4.54801080061955[/C][/ROW]
[ROW][C]103[/C][C]79[/C][C]86.3167260530232[/C][C]-7.31672605302317[/C][/ROW]
[ROW][C]104[/C][C]77[/C][C]84.4974168291247[/C][C]-7.49741682912469[/C][/ROW]
[ROW][C]105[/C][C]102[/C][C]82.4815210188172[/C][C]19.5184789811828[/C][/ROW]
[ROW][C]106[/C][C]116[/C][C]85.0341783087312[/C][C]30.9658216912688[/C][/ROW]
[ROW][C]107[/C][C]100[/C][C]90.0341466621093[/C][C]9.96585333789074[/C][/ROW]
[ROW][C]108[/C][C]135[/C][C]92.0494376447146[/C][C]42.9505623552854[/C][/ROW]
[ROW][C]109[/C][C]71[/C][C]100.073554898544[/C][C]-29.0735548985441[/C][/ROW]
[ROW][C]110[/C][C]60[/C][C]96.435470968159[/C][C]-36.435470968159[/C][/ROW]
[ROW][C]111[/C][C]89[/C][C]90.8511518985503[/C][C]-1.85115189855031[/C][/ROW]
[ROW][C]112[/C][C]74[/C][C]90.5103991377743[/C][C]-16.5103991377743[/C][/ROW]
[ROW][C]113[/C][C]73[/C][C]87.5572704789984[/C][C]-14.5572704789984[/C][/ROW]
[ROW][C]114[/C][C]91[/C][C]84.5745410926405[/C][C]6.42545890735946[/C][/ROW]
[ROW][C]115[/C][C]86[/C][C]84.9432733482468[/C][C]1.05672665175322[/C][/ROW]
[ROW][C]116[/C][C]74[/C][C]84.5153546661178[/C][C]-10.5153546661178[/C][/ROW]
[ROW][C]117[/C][C]87[/C][C]82.0819638499783[/C][C]4.91803615002172[/C][/ROW]
[ROW][C]118[/C][C]87[/C][C]82.1179934491259[/C][C]4.88200655087414[/C][/ROW]
[ROW][C]119[/C][C]109[/C][C]82.2585449885855[/C][C]26.7414550114145[/C][/ROW]
[ROW][C]120[/C][C]137[/C][C]86.3424124404373[/C][C]50.6575875595627[/C][/ROW]
[ROW][C]121[/C][C]43[/C][C]95.2229140982885[/C][C]-52.2229140982885[/C][/ROW]
[ROW][C]122[/C][C]69[/C][C]87.20391481212[/C][C]-18.2039148121201[/C][/ROW]
[ROW][C]123[/C][C]73[/C][C]83.973537870898[/C][C]-10.973537870898[/C][/ROW]
[ROW][C]124[/C][C]77[/C][C]81.6008144988228[/C][C]-4.60081449882281[/C][/ROW]
[ROW][C]125[/C][C]69[/C][C]80.0983004177545[/C][C]-11.0983004177545[/C][/ROW]
[ROW][C]126[/C][C]76[/C][C]77.35269202735[/C][C]-1.35269202734997[/C][/ROW]
[ROW][C]127[/C][C]78[/C][C]76.0659525158704[/C][C]1.93404748412962[/C][/ROW]
[ROW][C]128[/C][C]70[/C][C]75.325091627755[/C][C]-5.32509162775503[/C][/ROW]
[ROW][C]129[/C][C]83[/C][C]73.354851692913[/C][C]9.64514830708693[/C][/ROW]
[ROW][C]130[/C][C]65[/C][C]73.8897891405026[/C][C]-8.88978914050257[/C][/ROW]
[ROW][C]131[/C][C]110[/C][C]71.3918045831791[/C][C]38.6081954168209[/C][/ROW]
[ROW][C]132[/C][C]132[/C][C]77.0227456432757[/C][C]54.9772543567243[/C][/ROW]
[ROW][C]133[/C][C]54[/C][C]86.3943072883557[/C][C]-32.3943072883557[/C][/ROW]
[ROW][C]134[/C][C]55[/C][C]81.6833806847044[/C][C]-26.6833806847044[/C][/ROW]
[ROW][C]135[/C][C]66[/C][C]77.243840189369[/C][C]-11.243840189369[/C][/ROW]
[ROW][C]136[/C][C]65[/C][C]74.9104120435154[/C][C]-9.91041204351536[/C][/ROW]
[ROW][C]137[/C][C]60[/C][C]72.5574070040354[/C][C]-12.5574070040354[/C][/ROW]
[ROW][C]138[/C][C]65[/C][C]69.5168674593012[/C][C]-4.5168674593012[/C][/ROW]
[ROW][C]139[/C][C]96[/C][C]67.6033101782577[/C][C]28.3966898217423[/C][/ROW]
[ROW][C]140[/C][C]55[/C][C]71.3596979974331[/C][C]-16.3596979974331[/C][/ROW]
[ROW][C]141[/C][C]71[/C][C]67.9075647569084[/C][C]3.09243524309156[/C][/ROW]
[ROW][C]142[/C][C]63[/C][C]67.4978646080997[/C][C]-4.49786460809969[/C][/ROW]
[ROW][C]143[/C][C]74[/C][C]65.8268199739596[/C][C]8.17318002604037[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]66.2764078719013[/C][C]39.7235921280987[/C][/ROW]
[ROW][C]145[/C][C]34[/C][C]72.4429004248403[/C][C]-38.4429004248403[/C][/ROW]
[ROW][C]146[/C][C]47[/C][C]65.7973329056275[/C][C]-18.7973329056275[/C][/ROW]
[ROW][C]147[/C][C]56[/C][C]61.7304196288082[/C][C]-5.73041962880821[/C][/ROW]
[ROW][C]148[/C][C]53[/C][C]59.5312847743102[/C][C]-6.53128477431024[/C][/ROW]
[ROW][C]149[/C][C]53[/C][C]57.062560473317[/C][C]-4.06256047331697[/C][/ROW]
[ROW][C]150[/C][C]55[/C][C]54.8795546864849[/C][C]0.120445313515056[/C][/ROW]
[ROW][C]151[/C][C]67[/C][C]53.3385237976484[/C][C]13.6614762023516[/C][/ROW]
[ROW][C]152[/C][C]52[/C][C]54.174771867893[/C][C]-2.17477186789298[/C][/ROW]
[ROW][C]153[/C][C]46[/C][C]52.541859834204[/C][C]-6.54185983420397[/C][/ROW]
[ROW][C]154[/C][C]51[/C][C]50.0941184057962[/C][C]0.905881594203848[/C][/ROW]
[ROW][C]155[/C][C]58[/C][C]48.8049810007872[/C][C]9.1950189992128[/C][/ROW]
[ROW][C]156[/C][C]91[/C][C]48.989848676552[/C][C]42.010151323448[/C][/ROW]
[ROW][C]157[/C][C]33[/C][C]55.1364328793738[/C][C]-22.1364328793738[/C][/ROW]
[ROW][C]158[/C][C]40[/C][C]50.9810309846959[/C][C]-10.9810309846959[/C][/ROW]
[ROW][C]159[/C][C]46[/C][C]48.2829486894455[/C][C]-2.28294868944553[/C][/ROW]
[ROW][C]160[/C][C]45[/C][C]46.8626833384443[/C][C]-1.86268333844433[/C][/ROW]
[ROW][C]161[/C][C]41[/C][C]45.4646641080699[/C][C]-4.46466410806987[/C][/ROW]
[ROW][C]162[/C][C]55[/C][C]43.5683795739889[/C][C]11.4316204260111[/C][/ROW]
[ROW][C]163[/C][C]57[/C][C]44.3590560992747[/C][C]12.6409439007253[/C][/ROW]
[ROW][C]164[/C][C]54[/C][C]45.6194402715341[/C][C]8.38055972846588[/C][/ROW]
[ROW][C]165[/C][C]46[/C][C]46.4176155189542[/C][C]-0.417615518954165[/C][/ROW]
[ROW][C]166[/C][C]52[/C][C]45.8618133984532[/C][C]6.13818660154681[/C][/ROW]
[ROW][C]167[/C][C]48[/C][C]46.4462292165428[/C][C]1.55377078345722[/C][/ROW]
[ROW][C]168[/C][C]77[/C][C]46.3650579707762[/C][C]30.6349420292238[/C][/ROW]
[ROW][C]169[/C][C]30[/C][C]51.4185988483316[/C][C]-21.4185988483316[/C][/ROW]
[ROW][C]170[/C][C]35[/C][C]48.0344294741013[/C][C]-13.0344294741013[/C][/ROW]
[ROW][C]171[/C][C]42[/C][C]45.637792637953[/C][C]-3.63779263795298[/C][/ROW]
[ROW][C]172[/C][C]48[/C][C]44.595193330938[/C][C]3.40480666906205[/C][/ROW]
[ROW][C]173[/C][C]44[/C][C]44.7056023892176[/C][C]-0.705602389217582[/C][/ROW]
[ROW][C]174[/C][C]45[/C][C]44.1719430516691[/C][C]0.828056948330897[/C][/ROW]
[ROW][C]175[/C][C]46[/C][C]43.8913247671066[/C][C]2.10867523289338[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76981&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76981&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
31291245
499130.876803415252-31.8768034152516
5116131.399552768518-15.3995527685179
6168134.09334139869733.9066586013035
7118145.086433902012-27.0864339020116
8129146.147906503835-17.1479065038352
9205148.34174623925656.6582537607441
10147163.091814142575-16.0918141425755
11150166.361314408516-16.3613144085161
12267169.22088606921997.7791139307813
13126191.727458497205-65.7274584972051
14129187.765101009866-58.765101009866
15124183.542336352517-59.5423363525171
1697177.858858195858-80.8588581958583
17102167.095366307872-65.0953663078718
18127157.273816651726-30.273816651726
19222152.09151255526469.9084874447363
20214163.7949503570950.2050496429099
21118173.618740616409-55.6187406164089
22141166.016693770282-25.0166937702818
23154162.527536800942-8.52753680094168
24226161.36611655711464.6338834428858
2589172.842143795057-83.8421437950573
2677159.737997994439-82.7379979944389
2782144.937885758919-62.9378857589193
2897131.745229190883-34.745229190883
29127122.0779951260744.92200487392613
30121118.5837645968772.41623540312274
31117114.7610501821572.23894981784284
32117110.9617026904356.03829730956465
33106107.879071644938-1.87907164493795
34112103.5441333446158.45586665538512
35134100.97918735421533.0208126457851
36169102.91254095281166.087459047189
3775111.38868998095-36.3886899809497
38108103.3839959570734.61600404292662
39115101.74980390476613.2501960952339
4085101.733742742788-16.7337427427879
4110196.75830354523474.24169645476528
4210895.083995388522112.9160046114779
4310995.026416961800713.9735830381993
4412495.445390337849828.5546096621502
4510598.73623177679346.2637682232066
469598.761684828785-3.76168482878495
4713597.170237103705137.8297628962949
48164102.78751518399461.2124848160055
4988113.357790676834-25.3577906768345
5085110.1266183568-25.1266183568003
51112106.3644840062445.63551599375556
5287107.430528021343-20.4305280213427
5391104.052623052806-13.052623052806
5487101.508060030129-14.5080600301295
558798.414097422823-11.4140974228231
5614295.535719175425946.4642808245741
5795102.54968793916-7.54968793916002
58108101.1389178009346.86108219906647
59139102.08507925631636.914920743684
60159108.45613383381650.5438661661844
6161118.049138683103-57.0491386831028
6282109.913691816814-27.9136918168143
63124105.60171329281218.3982867071882
6493108.781930832383-15.781930832383
65108106.3829329990561.61706700094427
6675106.679350442923-31.6793504429228
6787101.173329987367-14.1733299873671
6810398.02320467647374.97679532352632
699097.9118273542362-7.91182735423615
7010895.652456754464612.3475432455354
7112396.767470612212726.2325293877873
72129100.59564756782528.4043524321754
7357105.395891864019-48.3958918640192
746597.368555237026-32.368555237026
756791.0610621187327-24.0610621187327
767185.4808711725545-14.4808711725545
777681.0383934750891-5.03839347508912
786777.925392848289-10.9253928482889
7911073.666491324687336.3335086753127
8011877.448712287291840.5512877127082
819982.789431396295816.2105686037042
828584.77566899830680.224331001693187
8310784.323894335210922.6761056647891
8414187.814334067008253.1856659329918
855897.1660132852881-39.1660132852881
866591.5215095567116-26.5215095567116
877087.211651604308-17.211651604308
888683.93664885023182.06335114976824
899383.65381658189689.34618341810318
907484.6946094790651-10.6946094790651
918782.43167461747814.56832538252191
927382.6042289477417-9.60422894774166
9310180.394432987927320.6055670120727
9410083.265792415272516.7342075847275
959685.922665054837510.0773349451625
9615787.789330741835869.2106692581642
9763100.252776006629-37.2527760066291
9811595.606552499014819.3934475009852
9970100.054265940226-30.0542659402255
1006696.267873909996-30.267873909996
1016791.7666761812713-24.7666761812713
1028387.5480108006196-4.54801080061955
1037986.3167260530232-7.31672605302317
1047784.4974168291247-7.49741682912469
10510282.481521018817219.5184789811828
10611685.034178308731230.9658216912688
10710090.03414666210939.96585333789074
10813592.049437644714642.9505623552854
10971100.073554898544-29.0735548985441
1106096.435470968159-36.435470968159
1118990.8511518985503-1.85115189855031
1127490.5103991377743-16.5103991377743
1137387.5572704789984-14.5572704789984
1149184.57454109264056.42545890735946
1158684.94327334824681.05672665175322
1167484.5153546661178-10.5153546661178
1178782.08196384997834.91803615002172
1188782.11799344912594.88200655087414
11910982.258544988585526.7414550114145
12013786.342412440437350.6575875595627
1214395.2229140982885-52.2229140982885
1226987.20391481212-18.2039148121201
1237383.973537870898-10.973537870898
1247781.6008144988228-4.60081449882281
1256980.0983004177545-11.0983004177545
1267677.35269202735-1.35269202734997
1277876.06595251587041.93404748412962
1287075.325091627755-5.32509162775503
1298373.3548516929139.64514830708693
1306573.8897891405026-8.88978914050257
13111071.391804583179138.6081954168209
13213277.022745643275754.9772543567243
1335486.3943072883557-32.3943072883557
1345581.6833806847044-26.6833806847044
1356677.243840189369-11.243840189369
1366574.9104120435154-9.91041204351536
1376072.5574070040354-12.5574070040354
1386569.5168674593012-4.5168674593012
1399667.603310178257728.3966898217423
1405571.3596979974331-16.3596979974331
1417167.90756475690843.09243524309156
1426367.4978646080997-4.49786460809969
1437465.82681997395968.17318002604037
14410666.276407871901339.7235921280987
1453472.4429004248403-38.4429004248403
1464765.7973329056275-18.7973329056275
1475661.7304196288082-5.73041962880821
1485359.5312847743102-6.53128477431024
1495357.062560473317-4.06256047331697
1505554.87955468648490.120445313515056
1516753.338523797648413.6614762023516
1525254.174771867893-2.17477186789298
1534652.541859834204-6.54185983420397
1545150.09411840579620.905881594203848
1555848.80498100078729.1950189992128
1569148.98984867655242.010151323448
1573355.1364328793738-22.1364328793738
1584050.9810309846959-10.9810309846959
1594648.2829486894455-2.28294868944553
1604546.8626833384443-1.86268333844433
1614145.4646641080699-4.46466410806987
1625543.568379573988911.4316204260111
1635744.359056099274712.6409439007253
1645445.61944027153418.38055972846588
1654646.4176155189542-0.417615518954165
1665245.86181339845326.13818660154681
1674846.44622921654281.55377078345722
1687746.365057970776230.6349420292238
1693051.4185988483316-21.4185988483316
1703548.0344294741013-13.0344294741013
1714245.637792637953-3.63779263795298
1724844.5951933309383.40480666906205
1734444.7056023892176-0.705602389217582
1744544.17194305166910.828056948330897
1754643.89132476710662.10867523289338







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
17643.8539388921958-15.2163826921205102.924260476512
17743.4942985028783-16.4773925973345103.465989603091
17843.1346581135609-17.9657320511246104.235048278246
17942.7750177242435-19.6974516049384105.247487053425
18042.4153773349261-21.6845732756973106.515327945549
18142.0557369456086-23.9350586876601108.046532578877
18241.6960965562912-26.4529932513262109.845186363909
18341.3364561669738-29.2389529045126111.91186523846
18440.9768157776564-32.2905001125367114.244131667849
18540.6171753883389-35.602748355276116.837099131954
18640.2575349990215-39.1689382717573119.6840082698
18739.8978946097041-42.9809803672515122.77676958666

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
176 & 43.8539388921958 & -15.2163826921205 & 102.924260476512 \tabularnewline
177 & 43.4942985028783 & -16.4773925973345 & 103.465989603091 \tabularnewline
178 & 43.1346581135609 & -17.9657320511246 & 104.235048278246 \tabularnewline
179 & 42.7750177242435 & -19.6974516049384 & 105.247487053425 \tabularnewline
180 & 42.4153773349261 & -21.6845732756973 & 106.515327945549 \tabularnewline
181 & 42.0557369456086 & -23.9350586876601 & 108.046532578877 \tabularnewline
182 & 41.6960965562912 & -26.4529932513262 & 109.845186363909 \tabularnewline
183 & 41.3364561669738 & -29.2389529045126 & 111.91186523846 \tabularnewline
184 & 40.9768157776564 & -32.2905001125367 & 114.244131667849 \tabularnewline
185 & 40.6171753883389 & -35.602748355276 & 116.837099131954 \tabularnewline
186 & 40.2575349990215 & -39.1689382717573 & 119.6840082698 \tabularnewline
187 & 39.8978946097041 & -42.9809803672515 & 122.77676958666 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76981&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]176[/C][C]43.8539388921958[/C][C]-15.2163826921205[/C][C]102.924260476512[/C][/ROW]
[ROW][C]177[/C][C]43.4942985028783[/C][C]-16.4773925973345[/C][C]103.465989603091[/C][/ROW]
[ROW][C]178[/C][C]43.1346581135609[/C][C]-17.9657320511246[/C][C]104.235048278246[/C][/ROW]
[ROW][C]179[/C][C]42.7750177242435[/C][C]-19.6974516049384[/C][C]105.247487053425[/C][/ROW]
[ROW][C]180[/C][C]42.4153773349261[/C][C]-21.6845732756973[/C][C]106.515327945549[/C][/ROW]
[ROW][C]181[/C][C]42.0557369456086[/C][C]-23.9350586876601[/C][C]108.046532578877[/C][/ROW]
[ROW][C]182[/C][C]41.6960965562912[/C][C]-26.4529932513262[/C][C]109.845186363909[/C][/ROW]
[ROW][C]183[/C][C]41.3364561669738[/C][C]-29.2389529045126[/C][C]111.91186523846[/C][/ROW]
[ROW][C]184[/C][C]40.9768157776564[/C][C]-32.2905001125367[/C][C]114.244131667849[/C][/ROW]
[ROW][C]185[/C][C]40.6171753883389[/C][C]-35.602748355276[/C][C]116.837099131954[/C][/ROW]
[ROW][C]186[/C][C]40.2575349990215[/C][C]-39.1689382717573[/C][C]119.6840082698[/C][/ROW]
[ROW][C]187[/C][C]39.8978946097041[/C][C]-42.9809803672515[/C][C]122.77676958666[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76981&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76981&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
17643.8539388921958-15.2163826921205102.924260476512
17743.4942985028783-16.4773925973345103.465989603091
17843.1346581135609-17.9657320511246104.235048278246
17942.7750177242435-19.6974516049384105.247487053425
18042.4153773349261-21.6845732756973106.515327945549
18142.0557369456086-23.9350586876601108.046532578877
18241.6960965562912-26.4529932513262109.845186363909
18341.3364561669738-29.2389529045126111.91186523846
18440.9768157776564-32.2905001125367114.244131667849
18540.6171753883389-35.602748355276116.837099131954
18640.2575349990215-39.1689382717573119.6840082698
18739.8978946097041-42.9809803672515122.77676958666



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
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')