Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 06 Jun 2010 19:36:47 +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/06/t1275853150fz9430ezsvirhou.htm/, Retrieved Sun, 28 Apr 2024 05:40:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77780, Retrieved Sun, 28 Apr 2024 05:40:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Jeroen Cornelisse...] [2010-06-06 19:36:47] [f3cdcbccc174fec74ce5399cef7e1772] [Current]
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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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77780&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77780&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77780&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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.108626533512383
beta0.0443274768222541
gamma0.509445657854061

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.108626533512383 \tabularnewline
beta & 0.0443274768222541 \tabularnewline
gamma & 0.509445657854061 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77780&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]0.108626533512383[/C][/ROW]
[ROW][C]beta[/C][C]0.0443274768222541[/C][/ROW]
[ROW][C]gamma[/C][C]0.509445657854061[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77780&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77780&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
alpha0.108626533512383
beta0.0443274768222541
gamma0.509445657854061







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13126130.144329985792-4.1443299857923
14129126.4993507083932.50064929160706
15124122.3539059983961.64609400160394
169798.6534914049896-1.65349140498957
17102103.969081120937-1.96908112093722
18127130.956560413493-3.95656041349349
19222124.11871993271497.8812800672863
20214147.22548008147466.7745199185265
21118247.091306508711-129.091306508711
22141168.457612580986-27.4576125809861
23154170.506386760306-16.5063867603065
24226306.518830078138-80.518830078138
2589136.515306433849-47.5153064338487
2677130.979637840337-53.9796378403368
2782119.99308717122-37.9930871712199
289791.54227522582815.45772477417189
2912796.718447505504830.2815524944952
30121125.17546301954-4.17546301954009
31117159.414068500372-42.4140685003724
32117150.982093862743-33.982093862743
33106145.852715403994-39.8527154039943
34112125.13574711416-13.1357471141602
35134130.4698177622513.53018223774916
36169216.267655581326-47.2676555813257
377591.3833731286713-16.3833731286713
3810885.235504507527522.7644954924725
3911588.579655485512626.4203445144874
408587.000067773792-2.00006777379201
41101100.6650606590820.334939340918126
42108108.693814580134-0.693814580133548
43109122.963372933244-13.9633729332437
44124120.7257907847153.2742092152849
45105116.587918876876-11.5879188768756
4695111.180723765643-16.180723765643
47135122.58639260309512.4136073969049
48164181.632752454893-17.6327524548934
498879.38573060265528.61426939734481
508593.27617160819-8.27617160819004
5111294.360154057379317.6398459426207
528780.03643672098156.96356327901849
539194.8042923777285-3.80429237772853
5487101.359918943627-14.3599189436274
5587107.235546805581-20.2355468055815
56142111.304688060330.6953119396997
5795104.007214887084-9.00721488708395
5810897.029831151298610.9701688487014
59139123.42793692950215.5720630704977
60159167.740598016765-8.74059801676458
616180.9671572713862-19.9671572713862
628283.650412217381-1.65041221738105
6312496.243361930684727.7566380693153
649379.176118792421213.8238812075788
6510889.495911297737218.5040887022628
667593.735469703547-18.7354697035471
678796.3595655879282-9.35956558792824
68103124.456413412998-21.4564134129979
699094.8507884972093-4.85078849720929
7010897.198695949122210.8013040508778
71123124.301709942004-1.30170994200428
72129153.693016243385-24.6930162433847
735766.3657330346879-9.36573303468786
746577.6301027164011-12.6301027164011
756799.8318070731925-32.8318070731925
767173.066001855823-2.06600185582302
777681.3460315251906-5.34603152519055
786768.2132018611001-1.21320186110015
7911074.821759913643335.1782400863567
8011898.497707328111119.5022926718889
819982.785497725281516.2145022747185
828593.608001161439-8.60800116143893
83107110.829270887726-3.82927088772593
84141126.90837643705614.0916235629441
855856.98838834819951.01161165180054
866567.1337198501299-2.13371985012989
877080.1455610066491-10.1455610066491
888670.255815542224415.7441844577756
899379.287753882876313.7122461171237
907470.14644164789413.85355835210588
918794.6207707691822-7.6207707691822
9273106.536757051462-33.5367570514619
9310184.589163260495516.4108367395045
9410084.258256648361615.7417433516384
9596105.809380582357-9.80938058235658
96157128.5708133634828.4291866365201
976356.19389866403766.80610133596241
9811565.598409782669949.4015902173301
997081.7385300934878-11.7385300934878
1006684.0114648703145-18.0114648703145
1016788.926084861005-21.926084861005
1028371.635902940453211.3640970595468
1037992.0445101526066-13.0445101526066
1047791.2526370269216-14.2526370269216
10510294.30967723491357.69032276508651
10611692.772591421999423.2274085780006
107100103.960138512117-3.96013851211661
108135146.181013095457-11.1810130954566
1097159.495581056712411.5044189432876
1106087.5332581511854-27.5332581511854
1118968.850394655884620.1496053441154
1127471.42610976608912.57389023391092
1137376.3830176289111-3.38301762891111
1149176.215318441270514.7846815587295
1158685.90019760165330.0998023983467107
1167486.0419338854185-12.0419338854185
1178799.7408559627166-12.7408559627166
11887102.851090482-15.8510904819999
11910997.50134769256611.4986523074339
120137136.8908541559090.109145844090847
1214363.2410913608103-20.2410913608103
1226968.84216962300880.157830376991228
1237374.2204821720876-1.22048217208759
1247766.901395653839210.0986043461608
1256969.7004023325345-0.700402332534523
1267677.2606959534877-1.26069595348767
1277878.193196932778-0.193196932777923
1287072.994965168685-2.99496516868504
1298385.8614307729271-2.86143077292714
1306588.1199321684824-23.1199321684824
13111093.32520274471916.674797255281
132132125.0289262811396.97107371886148
1335449.244190685854.75580931414999
1345566.15440499204-11.15440499204
1356669.3587362360089-3.35873623600891
1366566.9494609232758-1.94946092327578
1376063.6802317161635-3.68023171616355
1386569.8758745470156-4.87587454701564
1399670.586311185214825.4136888147852
1405567.2511047857573-12.2511047857573
1417178.0693430549239-7.06934305492388
1426370.8236381507021-7.82363815070211
1437493.7911522141888-19.7911522141888
144106114.027701754812-8.02770175481167
1453444.921607802382-10.921607802382
1464751.0879139381878-4.08791393818777
1475657.0612293037141-1.0612293037141
1485355.4655056047716-2.46550560477162
1495351.68444092881121.31555907118882
1505556.6164283593204-1.61642835932037
1516768.3431795382831-1.34317953828311
1525249.12027501129362.8797249887064
1534660.9275607944337-14.9275607944337
1545153.4380160602442-2.43801606024417
1555867.2627852423019-9.26278524230189
1569187.87873407501513.12126592498485
1573331.88783933253841.11216066746162
1584040.4399316160069-0.439931616006881
1594646.6411462022361-0.641146202236115
1604544.62361084141070.376389158589269
1614142.9994463968815-1.99944639688147
1625545.38589404400489.61410595599518
1635756.26491988631830.735080113681725
1645441.897813523252312.1021864767477
1654645.87260192594330.127398074056664
1665245.694999402656.30500059735003
1674856.1587551112398-8.15875511123978
1687779.6008903112322-2.60089031123218
1693028.6738099557361.32619004426398
1703535.6824320351885-0.682432035188498
1714241.08071773496210.919282265037879
1724839.88511806952528.1148819304748
1734438.34112366275995.65887633724012
1744546.3411261013661-1.34112610136611

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 126 & 130.144329985792 & -4.1443299857923 \tabularnewline
14 & 129 & 126.499350708393 & 2.50064929160706 \tabularnewline
15 & 124 & 122.353905998396 & 1.64609400160394 \tabularnewline
16 & 97 & 98.6534914049896 & -1.65349140498957 \tabularnewline
17 & 102 & 103.969081120937 & -1.96908112093722 \tabularnewline
18 & 127 & 130.956560413493 & -3.95656041349349 \tabularnewline
19 & 222 & 124.118719932714 & 97.8812800672863 \tabularnewline
20 & 214 & 147.225480081474 & 66.7745199185265 \tabularnewline
21 & 118 & 247.091306508711 & -129.091306508711 \tabularnewline
22 & 141 & 168.457612580986 & -27.4576125809861 \tabularnewline
23 & 154 & 170.506386760306 & -16.5063867603065 \tabularnewline
24 & 226 & 306.518830078138 & -80.518830078138 \tabularnewline
25 & 89 & 136.515306433849 & -47.5153064338487 \tabularnewline
26 & 77 & 130.979637840337 & -53.9796378403368 \tabularnewline
27 & 82 & 119.99308717122 & -37.9930871712199 \tabularnewline
28 & 97 & 91.5422752258281 & 5.45772477417189 \tabularnewline
29 & 127 & 96.7184475055048 & 30.2815524944952 \tabularnewline
30 & 121 & 125.17546301954 & -4.17546301954009 \tabularnewline
31 & 117 & 159.414068500372 & -42.4140685003724 \tabularnewline
32 & 117 & 150.982093862743 & -33.982093862743 \tabularnewline
33 & 106 & 145.852715403994 & -39.8527154039943 \tabularnewline
34 & 112 & 125.13574711416 & -13.1357471141602 \tabularnewline
35 & 134 & 130.469817762251 & 3.53018223774916 \tabularnewline
36 & 169 & 216.267655581326 & -47.2676555813257 \tabularnewline
37 & 75 & 91.3833731286713 & -16.3833731286713 \tabularnewline
38 & 108 & 85.2355045075275 & 22.7644954924725 \tabularnewline
39 & 115 & 88.5796554855126 & 26.4203445144874 \tabularnewline
40 & 85 & 87.000067773792 & -2.00006777379201 \tabularnewline
41 & 101 & 100.665060659082 & 0.334939340918126 \tabularnewline
42 & 108 & 108.693814580134 & -0.693814580133548 \tabularnewline
43 & 109 & 122.963372933244 & -13.9633729332437 \tabularnewline
44 & 124 & 120.725790784715 & 3.2742092152849 \tabularnewline
45 & 105 & 116.587918876876 & -11.5879188768756 \tabularnewline
46 & 95 & 111.180723765643 & -16.180723765643 \tabularnewline
47 & 135 & 122.586392603095 & 12.4136073969049 \tabularnewline
48 & 164 & 181.632752454893 & -17.6327524548934 \tabularnewline
49 & 88 & 79.3857306026552 & 8.61426939734481 \tabularnewline
50 & 85 & 93.27617160819 & -8.27617160819004 \tabularnewline
51 & 112 & 94.3601540573793 & 17.6398459426207 \tabularnewline
52 & 87 & 80.0364367209815 & 6.96356327901849 \tabularnewline
53 & 91 & 94.8042923777285 & -3.80429237772853 \tabularnewline
54 & 87 & 101.359918943627 & -14.3599189436274 \tabularnewline
55 & 87 & 107.235546805581 & -20.2355468055815 \tabularnewline
56 & 142 & 111.3046880603 & 30.6953119396997 \tabularnewline
57 & 95 & 104.007214887084 & -9.00721488708395 \tabularnewline
58 & 108 & 97.0298311512986 & 10.9701688487014 \tabularnewline
59 & 139 & 123.427936929502 & 15.5720630704977 \tabularnewline
60 & 159 & 167.740598016765 & -8.74059801676458 \tabularnewline
61 & 61 & 80.9671572713862 & -19.9671572713862 \tabularnewline
62 & 82 & 83.650412217381 & -1.65041221738105 \tabularnewline
63 & 124 & 96.2433619306847 & 27.7566380693153 \tabularnewline
64 & 93 & 79.1761187924212 & 13.8238812075788 \tabularnewline
65 & 108 & 89.4959112977372 & 18.5040887022628 \tabularnewline
66 & 75 & 93.735469703547 & -18.7354697035471 \tabularnewline
67 & 87 & 96.3595655879282 & -9.35956558792824 \tabularnewline
68 & 103 & 124.456413412998 & -21.4564134129979 \tabularnewline
69 & 90 & 94.8507884972093 & -4.85078849720929 \tabularnewline
70 & 108 & 97.1986959491222 & 10.8013040508778 \tabularnewline
71 & 123 & 124.301709942004 & -1.30170994200428 \tabularnewline
72 & 129 & 153.693016243385 & -24.6930162433847 \tabularnewline
73 & 57 & 66.3657330346879 & -9.36573303468786 \tabularnewline
74 & 65 & 77.6301027164011 & -12.6301027164011 \tabularnewline
75 & 67 & 99.8318070731925 & -32.8318070731925 \tabularnewline
76 & 71 & 73.066001855823 & -2.06600185582302 \tabularnewline
77 & 76 & 81.3460315251906 & -5.34603152519055 \tabularnewline
78 & 67 & 68.2132018611001 & -1.21320186110015 \tabularnewline
79 & 110 & 74.8217599136433 & 35.1782400863567 \tabularnewline
80 & 118 & 98.4977073281111 & 19.5022926718889 \tabularnewline
81 & 99 & 82.7854977252815 & 16.2145022747185 \tabularnewline
82 & 85 & 93.608001161439 & -8.60800116143893 \tabularnewline
83 & 107 & 110.829270887726 & -3.82927088772593 \tabularnewline
84 & 141 & 126.908376437056 & 14.0916235629441 \tabularnewline
85 & 58 & 56.9883883481995 & 1.01161165180054 \tabularnewline
86 & 65 & 67.1337198501299 & -2.13371985012989 \tabularnewline
87 & 70 & 80.1455610066491 & -10.1455610066491 \tabularnewline
88 & 86 & 70.2558155422244 & 15.7441844577756 \tabularnewline
89 & 93 & 79.2877538828763 & 13.7122461171237 \tabularnewline
90 & 74 & 70.1464416478941 & 3.85355835210588 \tabularnewline
91 & 87 & 94.6207707691822 & -7.6207707691822 \tabularnewline
92 & 73 & 106.536757051462 & -33.5367570514619 \tabularnewline
93 & 101 & 84.5891632604955 & 16.4108367395045 \tabularnewline
94 & 100 & 84.2582566483616 & 15.7417433516384 \tabularnewline
95 & 96 & 105.809380582357 & -9.80938058235658 \tabularnewline
96 & 157 & 128.57081336348 & 28.4291866365201 \tabularnewline
97 & 63 & 56.1938986640376 & 6.80610133596241 \tabularnewline
98 & 115 & 65.5984097826699 & 49.4015902173301 \tabularnewline
99 & 70 & 81.7385300934878 & -11.7385300934878 \tabularnewline
100 & 66 & 84.0114648703145 & -18.0114648703145 \tabularnewline
101 & 67 & 88.926084861005 & -21.926084861005 \tabularnewline
102 & 83 & 71.6359029404532 & 11.3640970595468 \tabularnewline
103 & 79 & 92.0445101526066 & -13.0445101526066 \tabularnewline
104 & 77 & 91.2526370269216 & -14.2526370269216 \tabularnewline
105 & 102 & 94.3096772349135 & 7.69032276508651 \tabularnewline
106 & 116 & 92.7725914219994 & 23.2274085780006 \tabularnewline
107 & 100 & 103.960138512117 & -3.96013851211661 \tabularnewline
108 & 135 & 146.181013095457 & -11.1810130954566 \tabularnewline
109 & 71 & 59.4955810567124 & 11.5044189432876 \tabularnewline
110 & 60 & 87.5332581511854 & -27.5332581511854 \tabularnewline
111 & 89 & 68.8503946558846 & 20.1496053441154 \tabularnewline
112 & 74 & 71.4261097660891 & 2.57389023391092 \tabularnewline
113 & 73 & 76.3830176289111 & -3.38301762891111 \tabularnewline
114 & 91 & 76.2153184412705 & 14.7846815587295 \tabularnewline
115 & 86 & 85.9001976016533 & 0.0998023983467107 \tabularnewline
116 & 74 & 86.0419338854185 & -12.0419338854185 \tabularnewline
117 & 87 & 99.7408559627166 & -12.7408559627166 \tabularnewline
118 & 87 & 102.851090482 & -15.8510904819999 \tabularnewline
119 & 109 & 97.501347692566 & 11.4986523074339 \tabularnewline
120 & 137 & 136.890854155909 & 0.109145844090847 \tabularnewline
121 & 43 & 63.2410913608103 & -20.2410913608103 \tabularnewline
122 & 69 & 68.8421696230088 & 0.157830376991228 \tabularnewline
123 & 73 & 74.2204821720876 & -1.22048217208759 \tabularnewline
124 & 77 & 66.9013956538392 & 10.0986043461608 \tabularnewline
125 & 69 & 69.7004023325345 & -0.700402332534523 \tabularnewline
126 & 76 & 77.2606959534877 & -1.26069595348767 \tabularnewline
127 & 78 & 78.193196932778 & -0.193196932777923 \tabularnewline
128 & 70 & 72.994965168685 & -2.99496516868504 \tabularnewline
129 & 83 & 85.8614307729271 & -2.86143077292714 \tabularnewline
130 & 65 & 88.1199321684824 & -23.1199321684824 \tabularnewline
131 & 110 & 93.325202744719 & 16.674797255281 \tabularnewline
132 & 132 & 125.028926281139 & 6.97107371886148 \tabularnewline
133 & 54 & 49.24419068585 & 4.75580931414999 \tabularnewline
134 & 55 & 66.15440499204 & -11.15440499204 \tabularnewline
135 & 66 & 69.3587362360089 & -3.35873623600891 \tabularnewline
136 & 65 & 66.9494609232758 & -1.94946092327578 \tabularnewline
137 & 60 & 63.6802317161635 & -3.68023171616355 \tabularnewline
138 & 65 & 69.8758745470156 & -4.87587454701564 \tabularnewline
139 & 96 & 70.5863111852148 & 25.4136888147852 \tabularnewline
140 & 55 & 67.2511047857573 & -12.2511047857573 \tabularnewline
141 & 71 & 78.0693430549239 & -7.06934305492388 \tabularnewline
142 & 63 & 70.8236381507021 & -7.82363815070211 \tabularnewline
143 & 74 & 93.7911522141888 & -19.7911522141888 \tabularnewline
144 & 106 & 114.027701754812 & -8.02770175481167 \tabularnewline
145 & 34 & 44.921607802382 & -10.921607802382 \tabularnewline
146 & 47 & 51.0879139381878 & -4.08791393818777 \tabularnewline
147 & 56 & 57.0612293037141 & -1.0612293037141 \tabularnewline
148 & 53 & 55.4655056047716 & -2.46550560477162 \tabularnewline
149 & 53 & 51.6844409288112 & 1.31555907118882 \tabularnewline
150 & 55 & 56.6164283593204 & -1.61642835932037 \tabularnewline
151 & 67 & 68.3431795382831 & -1.34317953828311 \tabularnewline
152 & 52 & 49.1202750112936 & 2.8797249887064 \tabularnewline
153 & 46 & 60.9275607944337 & -14.9275607944337 \tabularnewline
154 & 51 & 53.4380160602442 & -2.43801606024417 \tabularnewline
155 & 58 & 67.2627852423019 & -9.26278524230189 \tabularnewline
156 & 91 & 87.8787340750151 & 3.12126592498485 \tabularnewline
157 & 33 & 31.8878393325384 & 1.11216066746162 \tabularnewline
158 & 40 & 40.4399316160069 & -0.439931616006881 \tabularnewline
159 & 46 & 46.6411462022361 & -0.641146202236115 \tabularnewline
160 & 45 & 44.6236108414107 & 0.376389158589269 \tabularnewline
161 & 41 & 42.9994463968815 & -1.99944639688147 \tabularnewline
162 & 55 & 45.3858940440048 & 9.61410595599518 \tabularnewline
163 & 57 & 56.2649198863183 & 0.735080113681725 \tabularnewline
164 & 54 & 41.8978135232523 & 12.1021864767477 \tabularnewline
165 & 46 & 45.8726019259433 & 0.127398074056664 \tabularnewline
166 & 52 & 45.69499940265 & 6.30500059735003 \tabularnewline
167 & 48 & 56.1587551112398 & -8.15875511123978 \tabularnewline
168 & 77 & 79.6008903112322 & -2.60089031123218 \tabularnewline
169 & 30 & 28.673809955736 & 1.32619004426398 \tabularnewline
170 & 35 & 35.6824320351885 & -0.682432035188498 \tabularnewline
171 & 42 & 41.0807177349621 & 0.919282265037879 \tabularnewline
172 & 48 & 39.8851180695252 & 8.1148819304748 \tabularnewline
173 & 44 & 38.3411236627599 & 5.65887633724012 \tabularnewline
174 & 45 & 46.3411261013661 & -1.34112610136611 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77780&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]126[/C][C]130.144329985792[/C][C]-4.1443299857923[/C][/ROW]
[ROW][C]14[/C][C]129[/C][C]126.499350708393[/C][C]2.50064929160706[/C][/ROW]
[ROW][C]15[/C][C]124[/C][C]122.353905998396[/C][C]1.64609400160394[/C][/ROW]
[ROW][C]16[/C][C]97[/C][C]98.6534914049896[/C][C]-1.65349140498957[/C][/ROW]
[ROW][C]17[/C][C]102[/C][C]103.969081120937[/C][C]-1.96908112093722[/C][/ROW]
[ROW][C]18[/C][C]127[/C][C]130.956560413493[/C][C]-3.95656041349349[/C][/ROW]
[ROW][C]19[/C][C]222[/C][C]124.118719932714[/C][C]97.8812800672863[/C][/ROW]
[ROW][C]20[/C][C]214[/C][C]147.225480081474[/C][C]66.7745199185265[/C][/ROW]
[ROW][C]21[/C][C]118[/C][C]247.091306508711[/C][C]-129.091306508711[/C][/ROW]
[ROW][C]22[/C][C]141[/C][C]168.457612580986[/C][C]-27.4576125809861[/C][/ROW]
[ROW][C]23[/C][C]154[/C][C]170.506386760306[/C][C]-16.5063867603065[/C][/ROW]
[ROW][C]24[/C][C]226[/C][C]306.518830078138[/C][C]-80.518830078138[/C][/ROW]
[ROW][C]25[/C][C]89[/C][C]136.515306433849[/C][C]-47.5153064338487[/C][/ROW]
[ROW][C]26[/C][C]77[/C][C]130.979637840337[/C][C]-53.9796378403368[/C][/ROW]
[ROW][C]27[/C][C]82[/C][C]119.99308717122[/C][C]-37.9930871712199[/C][/ROW]
[ROW][C]28[/C][C]97[/C][C]91.5422752258281[/C][C]5.45772477417189[/C][/ROW]
[ROW][C]29[/C][C]127[/C][C]96.7184475055048[/C][C]30.2815524944952[/C][/ROW]
[ROW][C]30[/C][C]121[/C][C]125.17546301954[/C][C]-4.17546301954009[/C][/ROW]
[ROW][C]31[/C][C]117[/C][C]159.414068500372[/C][C]-42.4140685003724[/C][/ROW]
[ROW][C]32[/C][C]117[/C][C]150.982093862743[/C][C]-33.982093862743[/C][/ROW]
[ROW][C]33[/C][C]106[/C][C]145.852715403994[/C][C]-39.8527154039943[/C][/ROW]
[ROW][C]34[/C][C]112[/C][C]125.13574711416[/C][C]-13.1357471141602[/C][/ROW]
[ROW][C]35[/C][C]134[/C][C]130.469817762251[/C][C]3.53018223774916[/C][/ROW]
[ROW][C]36[/C][C]169[/C][C]216.267655581326[/C][C]-47.2676555813257[/C][/ROW]
[ROW][C]37[/C][C]75[/C][C]91.3833731286713[/C][C]-16.3833731286713[/C][/ROW]
[ROW][C]38[/C][C]108[/C][C]85.2355045075275[/C][C]22.7644954924725[/C][/ROW]
[ROW][C]39[/C][C]115[/C][C]88.5796554855126[/C][C]26.4203445144874[/C][/ROW]
[ROW][C]40[/C][C]85[/C][C]87.000067773792[/C][C]-2.00006777379201[/C][/ROW]
[ROW][C]41[/C][C]101[/C][C]100.665060659082[/C][C]0.334939340918126[/C][/ROW]
[ROW][C]42[/C][C]108[/C][C]108.693814580134[/C][C]-0.693814580133548[/C][/ROW]
[ROW][C]43[/C][C]109[/C][C]122.963372933244[/C][C]-13.9633729332437[/C][/ROW]
[ROW][C]44[/C][C]124[/C][C]120.725790784715[/C][C]3.2742092152849[/C][/ROW]
[ROW][C]45[/C][C]105[/C][C]116.587918876876[/C][C]-11.5879188768756[/C][/ROW]
[ROW][C]46[/C][C]95[/C][C]111.180723765643[/C][C]-16.180723765643[/C][/ROW]
[ROW][C]47[/C][C]135[/C][C]122.586392603095[/C][C]12.4136073969049[/C][/ROW]
[ROW][C]48[/C][C]164[/C][C]181.632752454893[/C][C]-17.6327524548934[/C][/ROW]
[ROW][C]49[/C][C]88[/C][C]79.3857306026552[/C][C]8.61426939734481[/C][/ROW]
[ROW][C]50[/C][C]85[/C][C]93.27617160819[/C][C]-8.27617160819004[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]94.3601540573793[/C][C]17.6398459426207[/C][/ROW]
[ROW][C]52[/C][C]87[/C][C]80.0364367209815[/C][C]6.96356327901849[/C][/ROW]
[ROW][C]53[/C][C]91[/C][C]94.8042923777285[/C][C]-3.80429237772853[/C][/ROW]
[ROW][C]54[/C][C]87[/C][C]101.359918943627[/C][C]-14.3599189436274[/C][/ROW]
[ROW][C]55[/C][C]87[/C][C]107.235546805581[/C][C]-20.2355468055815[/C][/ROW]
[ROW][C]56[/C][C]142[/C][C]111.3046880603[/C][C]30.6953119396997[/C][/ROW]
[ROW][C]57[/C][C]95[/C][C]104.007214887084[/C][C]-9.00721488708395[/C][/ROW]
[ROW][C]58[/C][C]108[/C][C]97.0298311512986[/C][C]10.9701688487014[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]123.427936929502[/C][C]15.5720630704977[/C][/ROW]
[ROW][C]60[/C][C]159[/C][C]167.740598016765[/C][C]-8.74059801676458[/C][/ROW]
[ROW][C]61[/C][C]61[/C][C]80.9671572713862[/C][C]-19.9671572713862[/C][/ROW]
[ROW][C]62[/C][C]82[/C][C]83.650412217381[/C][C]-1.65041221738105[/C][/ROW]
[ROW][C]63[/C][C]124[/C][C]96.2433619306847[/C][C]27.7566380693153[/C][/ROW]
[ROW][C]64[/C][C]93[/C][C]79.1761187924212[/C][C]13.8238812075788[/C][/ROW]
[ROW][C]65[/C][C]108[/C][C]89.4959112977372[/C][C]18.5040887022628[/C][/ROW]
[ROW][C]66[/C][C]75[/C][C]93.735469703547[/C][C]-18.7354697035471[/C][/ROW]
[ROW][C]67[/C][C]87[/C][C]96.3595655879282[/C][C]-9.35956558792824[/C][/ROW]
[ROW][C]68[/C][C]103[/C][C]124.456413412998[/C][C]-21.4564134129979[/C][/ROW]
[ROW][C]69[/C][C]90[/C][C]94.8507884972093[/C][C]-4.85078849720929[/C][/ROW]
[ROW][C]70[/C][C]108[/C][C]97.1986959491222[/C][C]10.8013040508778[/C][/ROW]
[ROW][C]71[/C][C]123[/C][C]124.301709942004[/C][C]-1.30170994200428[/C][/ROW]
[ROW][C]72[/C][C]129[/C][C]153.693016243385[/C][C]-24.6930162433847[/C][/ROW]
[ROW][C]73[/C][C]57[/C][C]66.3657330346879[/C][C]-9.36573303468786[/C][/ROW]
[ROW][C]74[/C][C]65[/C][C]77.6301027164011[/C][C]-12.6301027164011[/C][/ROW]
[ROW][C]75[/C][C]67[/C][C]99.8318070731925[/C][C]-32.8318070731925[/C][/ROW]
[ROW][C]76[/C][C]71[/C][C]73.066001855823[/C][C]-2.06600185582302[/C][/ROW]
[ROW][C]77[/C][C]76[/C][C]81.3460315251906[/C][C]-5.34603152519055[/C][/ROW]
[ROW][C]78[/C][C]67[/C][C]68.2132018611001[/C][C]-1.21320186110015[/C][/ROW]
[ROW][C]79[/C][C]110[/C][C]74.8217599136433[/C][C]35.1782400863567[/C][/ROW]
[ROW][C]80[/C][C]118[/C][C]98.4977073281111[/C][C]19.5022926718889[/C][/ROW]
[ROW][C]81[/C][C]99[/C][C]82.7854977252815[/C][C]16.2145022747185[/C][/ROW]
[ROW][C]82[/C][C]85[/C][C]93.608001161439[/C][C]-8.60800116143893[/C][/ROW]
[ROW][C]83[/C][C]107[/C][C]110.829270887726[/C][C]-3.82927088772593[/C][/ROW]
[ROW][C]84[/C][C]141[/C][C]126.908376437056[/C][C]14.0916235629441[/C][/ROW]
[ROW][C]85[/C][C]58[/C][C]56.9883883481995[/C][C]1.01161165180054[/C][/ROW]
[ROW][C]86[/C][C]65[/C][C]67.1337198501299[/C][C]-2.13371985012989[/C][/ROW]
[ROW][C]87[/C][C]70[/C][C]80.1455610066491[/C][C]-10.1455610066491[/C][/ROW]
[ROW][C]88[/C][C]86[/C][C]70.2558155422244[/C][C]15.7441844577756[/C][/ROW]
[ROW][C]89[/C][C]93[/C][C]79.2877538828763[/C][C]13.7122461171237[/C][/ROW]
[ROW][C]90[/C][C]74[/C][C]70.1464416478941[/C][C]3.85355835210588[/C][/ROW]
[ROW][C]91[/C][C]87[/C][C]94.6207707691822[/C][C]-7.6207707691822[/C][/ROW]
[ROW][C]92[/C][C]73[/C][C]106.536757051462[/C][C]-33.5367570514619[/C][/ROW]
[ROW][C]93[/C][C]101[/C][C]84.5891632604955[/C][C]16.4108367395045[/C][/ROW]
[ROW][C]94[/C][C]100[/C][C]84.2582566483616[/C][C]15.7417433516384[/C][/ROW]
[ROW][C]95[/C][C]96[/C][C]105.809380582357[/C][C]-9.80938058235658[/C][/ROW]
[ROW][C]96[/C][C]157[/C][C]128.57081336348[/C][C]28.4291866365201[/C][/ROW]
[ROW][C]97[/C][C]63[/C][C]56.1938986640376[/C][C]6.80610133596241[/C][/ROW]
[ROW][C]98[/C][C]115[/C][C]65.5984097826699[/C][C]49.4015902173301[/C][/ROW]
[ROW][C]99[/C][C]70[/C][C]81.7385300934878[/C][C]-11.7385300934878[/C][/ROW]
[ROW][C]100[/C][C]66[/C][C]84.0114648703145[/C][C]-18.0114648703145[/C][/ROW]
[ROW][C]101[/C][C]67[/C][C]88.926084861005[/C][C]-21.926084861005[/C][/ROW]
[ROW][C]102[/C][C]83[/C][C]71.6359029404532[/C][C]11.3640970595468[/C][/ROW]
[ROW][C]103[/C][C]79[/C][C]92.0445101526066[/C][C]-13.0445101526066[/C][/ROW]
[ROW][C]104[/C][C]77[/C][C]91.2526370269216[/C][C]-14.2526370269216[/C][/ROW]
[ROW][C]105[/C][C]102[/C][C]94.3096772349135[/C][C]7.69032276508651[/C][/ROW]
[ROW][C]106[/C][C]116[/C][C]92.7725914219994[/C][C]23.2274085780006[/C][/ROW]
[ROW][C]107[/C][C]100[/C][C]103.960138512117[/C][C]-3.96013851211661[/C][/ROW]
[ROW][C]108[/C][C]135[/C][C]146.181013095457[/C][C]-11.1810130954566[/C][/ROW]
[ROW][C]109[/C][C]71[/C][C]59.4955810567124[/C][C]11.5044189432876[/C][/ROW]
[ROW][C]110[/C][C]60[/C][C]87.5332581511854[/C][C]-27.5332581511854[/C][/ROW]
[ROW][C]111[/C][C]89[/C][C]68.8503946558846[/C][C]20.1496053441154[/C][/ROW]
[ROW][C]112[/C][C]74[/C][C]71.4261097660891[/C][C]2.57389023391092[/C][/ROW]
[ROW][C]113[/C][C]73[/C][C]76.3830176289111[/C][C]-3.38301762891111[/C][/ROW]
[ROW][C]114[/C][C]91[/C][C]76.2153184412705[/C][C]14.7846815587295[/C][/ROW]
[ROW][C]115[/C][C]86[/C][C]85.9001976016533[/C][C]0.0998023983467107[/C][/ROW]
[ROW][C]116[/C][C]74[/C][C]86.0419338854185[/C][C]-12.0419338854185[/C][/ROW]
[ROW][C]117[/C][C]87[/C][C]99.7408559627166[/C][C]-12.7408559627166[/C][/ROW]
[ROW][C]118[/C][C]87[/C][C]102.851090482[/C][C]-15.8510904819999[/C][/ROW]
[ROW][C]119[/C][C]109[/C][C]97.501347692566[/C][C]11.4986523074339[/C][/ROW]
[ROW][C]120[/C][C]137[/C][C]136.890854155909[/C][C]0.109145844090847[/C][/ROW]
[ROW][C]121[/C][C]43[/C][C]63.2410913608103[/C][C]-20.2410913608103[/C][/ROW]
[ROW][C]122[/C][C]69[/C][C]68.8421696230088[/C][C]0.157830376991228[/C][/ROW]
[ROW][C]123[/C][C]73[/C][C]74.2204821720876[/C][C]-1.22048217208759[/C][/ROW]
[ROW][C]124[/C][C]77[/C][C]66.9013956538392[/C][C]10.0986043461608[/C][/ROW]
[ROW][C]125[/C][C]69[/C][C]69.7004023325345[/C][C]-0.700402332534523[/C][/ROW]
[ROW][C]126[/C][C]76[/C][C]77.2606959534877[/C][C]-1.26069595348767[/C][/ROW]
[ROW][C]127[/C][C]78[/C][C]78.193196932778[/C][C]-0.193196932777923[/C][/ROW]
[ROW][C]128[/C][C]70[/C][C]72.994965168685[/C][C]-2.99496516868504[/C][/ROW]
[ROW][C]129[/C][C]83[/C][C]85.8614307729271[/C][C]-2.86143077292714[/C][/ROW]
[ROW][C]130[/C][C]65[/C][C]88.1199321684824[/C][C]-23.1199321684824[/C][/ROW]
[ROW][C]131[/C][C]110[/C][C]93.325202744719[/C][C]16.674797255281[/C][/ROW]
[ROW][C]132[/C][C]132[/C][C]125.028926281139[/C][C]6.97107371886148[/C][/ROW]
[ROW][C]133[/C][C]54[/C][C]49.24419068585[/C][C]4.75580931414999[/C][/ROW]
[ROW][C]134[/C][C]55[/C][C]66.15440499204[/C][C]-11.15440499204[/C][/ROW]
[ROW][C]135[/C][C]66[/C][C]69.3587362360089[/C][C]-3.35873623600891[/C][/ROW]
[ROW][C]136[/C][C]65[/C][C]66.9494609232758[/C][C]-1.94946092327578[/C][/ROW]
[ROW][C]137[/C][C]60[/C][C]63.6802317161635[/C][C]-3.68023171616355[/C][/ROW]
[ROW][C]138[/C][C]65[/C][C]69.8758745470156[/C][C]-4.87587454701564[/C][/ROW]
[ROW][C]139[/C][C]96[/C][C]70.5863111852148[/C][C]25.4136888147852[/C][/ROW]
[ROW][C]140[/C][C]55[/C][C]67.2511047857573[/C][C]-12.2511047857573[/C][/ROW]
[ROW][C]141[/C][C]71[/C][C]78.0693430549239[/C][C]-7.06934305492388[/C][/ROW]
[ROW][C]142[/C][C]63[/C][C]70.8236381507021[/C][C]-7.82363815070211[/C][/ROW]
[ROW][C]143[/C][C]74[/C][C]93.7911522141888[/C][C]-19.7911522141888[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]114.027701754812[/C][C]-8.02770175481167[/C][/ROW]
[ROW][C]145[/C][C]34[/C][C]44.921607802382[/C][C]-10.921607802382[/C][/ROW]
[ROW][C]146[/C][C]47[/C][C]51.0879139381878[/C][C]-4.08791393818777[/C][/ROW]
[ROW][C]147[/C][C]56[/C][C]57.0612293037141[/C][C]-1.0612293037141[/C][/ROW]
[ROW][C]148[/C][C]53[/C][C]55.4655056047716[/C][C]-2.46550560477162[/C][/ROW]
[ROW][C]149[/C][C]53[/C][C]51.6844409288112[/C][C]1.31555907118882[/C][/ROW]
[ROW][C]150[/C][C]55[/C][C]56.6164283593204[/C][C]-1.61642835932037[/C][/ROW]
[ROW][C]151[/C][C]67[/C][C]68.3431795382831[/C][C]-1.34317953828311[/C][/ROW]
[ROW][C]152[/C][C]52[/C][C]49.1202750112936[/C][C]2.8797249887064[/C][/ROW]
[ROW][C]153[/C][C]46[/C][C]60.9275607944337[/C][C]-14.9275607944337[/C][/ROW]
[ROW][C]154[/C][C]51[/C][C]53.4380160602442[/C][C]-2.43801606024417[/C][/ROW]
[ROW][C]155[/C][C]58[/C][C]67.2627852423019[/C][C]-9.26278524230189[/C][/ROW]
[ROW][C]156[/C][C]91[/C][C]87.8787340750151[/C][C]3.12126592498485[/C][/ROW]
[ROW][C]157[/C][C]33[/C][C]31.8878393325384[/C][C]1.11216066746162[/C][/ROW]
[ROW][C]158[/C][C]40[/C][C]40.4399316160069[/C][C]-0.439931616006881[/C][/ROW]
[ROW][C]159[/C][C]46[/C][C]46.6411462022361[/C][C]-0.641146202236115[/C][/ROW]
[ROW][C]160[/C][C]45[/C][C]44.6236108414107[/C][C]0.376389158589269[/C][/ROW]
[ROW][C]161[/C][C]41[/C][C]42.9994463968815[/C][C]-1.99944639688147[/C][/ROW]
[ROW][C]162[/C][C]55[/C][C]45.3858940440048[/C][C]9.61410595599518[/C][/ROW]
[ROW][C]163[/C][C]57[/C][C]56.2649198863183[/C][C]0.735080113681725[/C][/ROW]
[ROW][C]164[/C][C]54[/C][C]41.8978135232523[/C][C]12.1021864767477[/C][/ROW]
[ROW][C]165[/C][C]46[/C][C]45.8726019259433[/C][C]0.127398074056664[/C][/ROW]
[ROW][C]166[/C][C]52[/C][C]45.69499940265[/C][C]6.30500059735003[/C][/ROW]
[ROW][C]167[/C][C]48[/C][C]56.1587551112398[/C][C]-8.15875511123978[/C][/ROW]
[ROW][C]168[/C][C]77[/C][C]79.6008903112322[/C][C]-2.60089031123218[/C][/ROW]
[ROW][C]169[/C][C]30[/C][C]28.673809955736[/C][C]1.32619004426398[/C][/ROW]
[ROW][C]170[/C][C]35[/C][C]35.6824320351885[/C][C]-0.682432035188498[/C][/ROW]
[ROW][C]171[/C][C]42[/C][C]41.0807177349621[/C][C]0.919282265037879[/C][/ROW]
[ROW][C]172[/C][C]48[/C][C]39.8851180695252[/C][C]8.1148819304748[/C][/ROW]
[ROW][C]173[/C][C]44[/C][C]38.3411236627599[/C][C]5.65887633724012[/C][/ROW]
[ROW][C]174[/C][C]45[/C][C]46.3411261013661[/C][C]-1.34112610136611[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77780&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77780&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
13126130.144329985792-4.1443299857923
14129126.4993507083932.50064929160706
15124122.3539059983961.64609400160394
169798.6534914049896-1.65349140498957
17102103.969081120937-1.96908112093722
18127130.956560413493-3.95656041349349
19222124.11871993271497.8812800672863
20214147.22548008147466.7745199185265
21118247.091306508711-129.091306508711
22141168.457612580986-27.4576125809861
23154170.506386760306-16.5063867603065
24226306.518830078138-80.518830078138
2589136.515306433849-47.5153064338487
2677130.979637840337-53.9796378403368
2782119.99308717122-37.9930871712199
289791.54227522582815.45772477417189
2912796.718447505504830.2815524944952
30121125.17546301954-4.17546301954009
31117159.414068500372-42.4140685003724
32117150.982093862743-33.982093862743
33106145.852715403994-39.8527154039943
34112125.13574711416-13.1357471141602
35134130.4698177622513.53018223774916
36169216.267655581326-47.2676555813257
377591.3833731286713-16.3833731286713
3810885.235504507527522.7644954924725
3911588.579655485512626.4203445144874
408587.000067773792-2.00006777379201
41101100.6650606590820.334939340918126
42108108.693814580134-0.693814580133548
43109122.963372933244-13.9633729332437
44124120.7257907847153.2742092152849
45105116.587918876876-11.5879188768756
4695111.180723765643-16.180723765643
47135122.58639260309512.4136073969049
48164181.632752454893-17.6327524548934
498879.38573060265528.61426939734481
508593.27617160819-8.27617160819004
5111294.360154057379317.6398459426207
528780.03643672098156.96356327901849
539194.8042923777285-3.80429237772853
5487101.359918943627-14.3599189436274
5587107.235546805581-20.2355468055815
56142111.304688060330.6953119396997
5795104.007214887084-9.00721488708395
5810897.029831151298610.9701688487014
59139123.42793692950215.5720630704977
60159167.740598016765-8.74059801676458
616180.9671572713862-19.9671572713862
628283.650412217381-1.65041221738105
6312496.243361930684727.7566380693153
649379.176118792421213.8238812075788
6510889.495911297737218.5040887022628
667593.735469703547-18.7354697035471
678796.3595655879282-9.35956558792824
68103124.456413412998-21.4564134129979
699094.8507884972093-4.85078849720929
7010897.198695949122210.8013040508778
71123124.301709942004-1.30170994200428
72129153.693016243385-24.6930162433847
735766.3657330346879-9.36573303468786
746577.6301027164011-12.6301027164011
756799.8318070731925-32.8318070731925
767173.066001855823-2.06600185582302
777681.3460315251906-5.34603152519055
786768.2132018611001-1.21320186110015
7911074.821759913643335.1782400863567
8011898.497707328111119.5022926718889
819982.785497725281516.2145022747185
828593.608001161439-8.60800116143893
83107110.829270887726-3.82927088772593
84141126.90837643705614.0916235629441
855856.98838834819951.01161165180054
866567.1337198501299-2.13371985012989
877080.1455610066491-10.1455610066491
888670.255815542224415.7441844577756
899379.287753882876313.7122461171237
907470.14644164789413.85355835210588
918794.6207707691822-7.6207707691822
9273106.536757051462-33.5367570514619
9310184.589163260495516.4108367395045
9410084.258256648361615.7417433516384
9596105.809380582357-9.80938058235658
96157128.5708133634828.4291866365201
976356.19389866403766.80610133596241
9811565.598409782669949.4015902173301
997081.7385300934878-11.7385300934878
1006684.0114648703145-18.0114648703145
1016788.926084861005-21.926084861005
1028371.635902940453211.3640970595468
1037992.0445101526066-13.0445101526066
1047791.2526370269216-14.2526370269216
10510294.30967723491357.69032276508651
10611692.772591421999423.2274085780006
107100103.960138512117-3.96013851211661
108135146.181013095457-11.1810130954566
1097159.495581056712411.5044189432876
1106087.5332581511854-27.5332581511854
1118968.850394655884620.1496053441154
1127471.42610976608912.57389023391092
1137376.3830176289111-3.38301762891111
1149176.215318441270514.7846815587295
1158685.90019760165330.0998023983467107
1167486.0419338854185-12.0419338854185
1178799.7408559627166-12.7408559627166
11887102.851090482-15.8510904819999
11910997.50134769256611.4986523074339
120137136.8908541559090.109145844090847
1214363.2410913608103-20.2410913608103
1226968.84216962300880.157830376991228
1237374.2204821720876-1.22048217208759
1247766.901395653839210.0986043461608
1256969.7004023325345-0.700402332534523
1267677.2606959534877-1.26069595348767
1277878.193196932778-0.193196932777923
1287072.994965168685-2.99496516868504
1298385.8614307729271-2.86143077292714
1306588.1199321684824-23.1199321684824
13111093.32520274471916.674797255281
132132125.0289262811396.97107371886148
1335449.244190685854.75580931414999
1345566.15440499204-11.15440499204
1356669.3587362360089-3.35873623600891
1366566.9494609232758-1.94946092327578
1376063.6802317161635-3.68023171616355
1386569.8758745470156-4.87587454701564
1399670.586311185214825.4136888147852
1405567.2511047857573-12.2511047857573
1417178.0693430549239-7.06934305492388
1426370.8236381507021-7.82363815070211
1437493.7911522141888-19.7911522141888
144106114.027701754812-8.02770175481167
1453444.921607802382-10.921607802382
1464751.0879139381878-4.08791393818777
1475657.0612293037141-1.0612293037141
1485355.4655056047716-2.46550560477162
1495351.68444092881121.31555907118882
1505556.6164283593204-1.61642835932037
1516768.3431795382831-1.34317953828311
1525249.12027501129362.8797249887064
1534660.9275607944337-14.9275607944337
1545153.4380160602442-2.43801606024417
1555867.2627852423019-9.26278524230189
1569187.87873407501513.12126592498485
1573331.88783933253841.11216066746162
1584040.4399316160069-0.439931616006881
1594646.6411462022361-0.641146202236115
1604544.62361084141070.376389158589269
1614142.9994463968815-1.99944639688147
1625545.38589404400489.61410595599518
1635756.26491988631830.735080113681725
1645441.897813523252312.1021864767477
1654645.87260192594330.127398074056664
1665245.694999402656.30500059735003
1674856.1587551112398-8.15875511123978
1687779.6008903112322-2.60089031123218
1693028.6738099557361.32619004426398
1703535.6824320351885-0.682432035188498
1714241.08071773496210.919282265037879
1724839.88511806952528.1148819304748
1734438.34112366275995.65887633724012
1744546.3411261013661-1.34112610136611







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
17551.561923500914127.347979934657875.7758670671703
17643.036348647446418.473208624844767.5994886700481
17740.579421276220315.580379036757265.5784635156834
17842.84703523837517.125668472996268.5684020037539
17945.54583992420818.925711020983172.165968827433
18069.255267280953838.3158393108681100.194695251039
18125.94959929145950.50253482918483251.3966637537341
18231.1951208769254.3668139666218358.0234277872281
18336.67276199237777.9561734151589265.3893505695965
18438.33502527168198.3080577390495168.3619928043143
18535.19544430782915.177249799904265.213638815754
18638.66581106238060.16906206766335477.1625600570979

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
175 & 51.5619235009141 & 27.3479799346578 & 75.7758670671703 \tabularnewline
176 & 43.0363486474464 & 18.4732086248447 & 67.5994886700481 \tabularnewline
177 & 40.5794212762203 & 15.5803790367572 & 65.5784635156834 \tabularnewline
178 & 42.847035238375 & 17.1256684729962 & 68.5684020037539 \tabularnewline
179 & 45.545839924208 & 18.9257110209831 & 72.165968827433 \tabularnewline
180 & 69.2552672809538 & 38.3158393108681 & 100.194695251039 \tabularnewline
181 & 25.9495992914595 & 0.502534829184832 & 51.3966637537341 \tabularnewline
182 & 31.195120876925 & 4.36681396662183 & 58.0234277872281 \tabularnewline
183 & 36.6727619923777 & 7.95617341515892 & 65.3893505695965 \tabularnewline
184 & 38.3350252716819 & 8.30805773904951 & 68.3619928043143 \tabularnewline
185 & 35.1954443078291 & 5.1772497999042 & 65.213638815754 \tabularnewline
186 & 38.6658110623806 & 0.169062067663354 & 77.1625600570979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77780&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]175[/C][C]51.5619235009141[/C][C]27.3479799346578[/C][C]75.7758670671703[/C][/ROW]
[ROW][C]176[/C][C]43.0363486474464[/C][C]18.4732086248447[/C][C]67.5994886700481[/C][/ROW]
[ROW][C]177[/C][C]40.5794212762203[/C][C]15.5803790367572[/C][C]65.5784635156834[/C][/ROW]
[ROW][C]178[/C][C]42.847035238375[/C][C]17.1256684729962[/C][C]68.5684020037539[/C][/ROW]
[ROW][C]179[/C][C]45.545839924208[/C][C]18.9257110209831[/C][C]72.165968827433[/C][/ROW]
[ROW][C]180[/C][C]69.2552672809538[/C][C]38.3158393108681[/C][C]100.194695251039[/C][/ROW]
[ROW][C]181[/C][C]25.9495992914595[/C][C]0.502534829184832[/C][C]51.3966637537341[/C][/ROW]
[ROW][C]182[/C][C]31.195120876925[/C][C]4.36681396662183[/C][C]58.0234277872281[/C][/ROW]
[ROW][C]183[/C][C]36.6727619923777[/C][C]7.95617341515892[/C][C]65.3893505695965[/C][/ROW]
[ROW][C]184[/C][C]38.3350252716819[/C][C]8.30805773904951[/C][C]68.3619928043143[/C][/ROW]
[ROW][C]185[/C][C]35.1954443078291[/C][C]5.1772497999042[/C][C]65.213638815754[/C][/ROW]
[ROW][C]186[/C][C]38.6658110623806[/C][C]0.169062067663354[/C][C]77.1625600570979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77780&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77780&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
17551.561923500914127.347979934657875.7758670671703
17643.036348647446418.473208624844767.5994886700481
17740.579421276220315.580379036757265.5784635156834
17842.84703523837517.125668472996268.5684020037539
17945.54583992420818.925711020983172.165968827433
18069.255267280953838.3158393108681100.194695251039
18125.94959929145950.50253482918483251.3966637537341
18231.1951208769254.3668139666218358.0234277872281
18336.67276199237777.9561734151589265.3893505695965
18438.33502527168198.3080577390495168.3619928043143
18535.19544430782915.177249799904265.213638815754
18638.66581106238060.16906206766335477.1625600570979



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