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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 04 Feb 2014 20:43:44 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Feb/04/t13915646828ebytvqsqsybecf.htm/, Retrieved Wed, 15 May 2024 16:45:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233231, Retrieved Wed, 15 May 2024 16:45:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [EC 452 HW 2] [2014-02-05 01:43:44] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
6910
6959
7268
7023
7555
7021
7297
7558
6945
7464
7138
7355
6854
6699
7324
7514
7898
7814
8049
8322
7730
8049
7449
7774
6998
7275
8177
8143
8364
8292
8689
8661
8080
8264
7822
8352
7507
7341
8243
8269
8615
8549
8902
9035
8271
8328
7987
8383
7532
7943
8685
8502
8977
8716
8978
9548
8675
9032
9005
8921
8688
8640
9592
9332
9976
9460
10071
10517
9539
9850
9227
9699
9147
9114
9972
9825
10423
10203
10458
10541
9844
10455
9715
10338
9583
9515
10385
10571
10792
10553
11083
10939
10297
11056
10229
10703
10092
10532
11464
11240
11393
11332
11752
11581
11257
11447
10742
11372
10726
10691
11919
11312
12002
12191
12374
12797
11292
11523
11259
12596
11520
11414
12696
12140
12857
12685
12873
13357
11743
12129
12003
12794
11811
11523
12957
12423
13741
13250
13673
14329
12465
13026
12606
13281
12953
12926
13709
13324
14042
13669
14572
14149
13268
13918
12992
14312
13202
13260
14359
14368
14687
14445
15142
14905
13982
14575
13838
15478




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233231&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233231&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233231&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 Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.456187860700006
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.456187860700006 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233231&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]0.456187860700006[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233231&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233231&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
alpha0.456187860700006
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
26959691049
372686932.3532051743335.6467948257
470237085.47119845665-62.4711984566502
575557056.97259607735498.027403922654
670217284.1666520428-263.1666520428
772977164.11322003981132.886779960188
875587224.73455590516333.265444094837
969457376.76620589202-431.766205892024
1074647179.79970410358284.200295896417
1171387309.44842909888-171.448429098878
1273557231.23573700788123.764262992116
1368547287.69549137337-433.695491373371
1466997089.84887296852-390.848872968515
1573246911.548361752412.451638248001
1675147099.70379224657414.296207753432
1778987288.70069295773609.299307042268
1878147566.65564036334247.34435963666
1980497679.4911346422369.508865357799
2083227848.05659343946473.943406560537
2177308064.26382217119-334.263822171188
2280497911.77672422551137.223275774494
2374497974.37631683932-525.37631683932
2477747734.7060187979439.2939812020586
2569987752.63145602089-754.631456020895
2672757408.37774648179-133.377746481792
2781777347.53243764928829.467562350725
2881437725.9254704381417.074529561898
2983647916.18980783141447.810192168594
3082928120.47538139646171.524618603545
3186898198.72283021459490.27716978541
3286618422.38132344905238.61867655095
3380808531.23626702789-451.236267027894
3482648325.38775970218-61.3877597021819
3578228297.38340893048-475.383408930478
3683528080.51926859821271.480731401793
3775078204.36548267766-697.365482677664
3873417886.23581500891-545.235815008913
3982437637.50585498297605.494145017027
4082697913.72493366467355.27506633533
4186158075.79710613624539.202893863763
4285498321.7749207712227.2250792288
4389028425.43224356198476.567756438024
4490358642.83666885004392.163331149961
4582718821.73681993233-550.736819932328
4683288570.49736823868-242.497368238675
4779878459.87301259649-472.873012596492
4883838244.15408459733138.84591540267
4975328307.49390571181-775.493905711808
5079437953.72299987925-10.7229998792463
5186857948.83129750405736.168702495954
5285028284.66252300997217.337476990026
5389778383.80924168799593.190758312008
5487168654.4156647093661.5843352906395
5589788682.50969087823295.490309121771
5695488817.30878285407730.691217145926
5786759150.64124603616-475.641246036157
5890328933.6594835462498.3405164537635
5990058978.5212333674126.4787666325865
6089218990.60052527151-69.6005252715076
6186888958.8496105443-270.849610544301
6286408835.29130613867-195.291306138666
6395928746.20178297796845.798217022042
6493329132.04466218512199.955337814878
6599769223.26185997844752.738140021562
6694609566.65186174218-106.651861742177
67100719517.99857709434553.00142290566
68105179770.27111317373746.728886826268
69953910110.9197665779-571.919766577905
7098509850.01691177068-0.0169117706827819
7192279850.00919682619-623.009196826195
7296999565.79996412962133.200035870375
7391479626.5642035385-479.564203538495
7491149407.79283545797-293.792835457967
7599729273.76811036141698.231889638591
7698259592.29302236816232.70697763184
77104239698.45112066399724.548879336007
781020310028.9815239009174.018476099127
791045810108.3666402348349.633359765192
801054110267.8651346554273.134865344553
81984410392.4659445596-548.465944559563
821045510142.2624386441312.737561355872
83971510284.9295177196-569.9295177196
841033810024.9345902813313.065409718691
85958310167.7512298-584.751229800049
8695159900.99481723587-385.994817235867
87103859724.90866731975660.091332680253
881057110026.0343202418544.965679758232
891079210274.6410478456517.3589521544
901055310510.653921442942.3460785570878
911108310529.9716884289553.028311571095
921093910782.2564907911156.74350920894
931029710853.7609769357-556.760976935699
941105610599.7733779462456.226622053844
951022910807.8984246553-578.89842465529
961070310543.8119907492159.188009250811
971009210616.4316281384-524.431628138409
981053210377.1922856145154.807714385473
991146410447.81368565991016.18631434011
1001124010911.3855464713328.614453528669
1011139311061.2954710217331.704528978324
1021133211212.6150504808119.384949519199
1031175211267.0770152017484.922984798257
1041158111488.292994241192.7070057588789
1051125711530.5848048702-273.584804870166
1061144711405.778738016441.2212619835827
1071074211424.5833773361-682.583377336063
1081137211113.1971266797258.802873320261
1091072611231.2598558027-505.259855802724
1101069111000.7664430865-309.766443086486
1111191910859.45475209821059.54524790179
1121131211342.8064320534-30.8064320533867
1131200211328.7529117192673.247088280848
1141219111635.8800606445555.1199393555
1151237411889.119038211484.880961788997
1161279712110.3158468637686.684153136313
1171129212423.5728216595-1131.57282165954
1181152311907.3630369204-384.363036920402
1191125911732.0212853755-473.021285375526
1201259611516.23471713451079.7652828655
1211152012008.810531583-488.810531583049
1221141411785.8211008925-371.821100892545
1231269611616.20082831331079.79917168675
1241214012108.792102430731.2078975693312
1251285712123.0287664598733.971233540233
1261268512457.8575333038227.142466696168
1271287312561.4771692601311.522830739921
1281335712703.5901029745653.409897025467
1291174313001.6677660588-1258.66776605879
1301212912427.4788105284-298.478810528375
1311200312291.3164004892-288.316400489153
1321279412159.7899585453634.21004145472
1331181112449.108880591-638.108880590971
1341152312158.0113554605-635.0113554605
1351295711868.32688369281088.67311630724
1361242312364.966343622658.033656377429
1371374112391.4405931741349.55940682601
1381325013007.0932118615242.906788138484
1391367313117.9043398919555.09566010808
1401432913371.1322415605957.867758439517
1411246513808.0998851165-1343.09988511652
1421302613195.3940218188-169.394021818789
1431260613118.1185253899-512.118525389906
1441328112884.4962708674396.503729132557
1451295313065.37645882-112.376458819999
1461292613014.1116824779-88.1116824778619
1471370912973.9162025456735.083797454392
1481332413309.252507541614.7474924584367
1491404213315.9801345769726.019865423134
1501366913647.1815838121.8184161900481
1511457213657.1348804156914.865119584447
1521414914074.485242147874.5147578521628
1531326814108.477970123-840.477970122995
1541391813725.0621229671192.937877032899
1551299213813.0780403387-821.07804033874
1561431213438.5122056489873.487794351144
1571320213836.9867339015-634.986733901471
1581326013547.3134941901-287.313494190075
1591435913416.2445659253942.755434074739
1601436813846.3181505591521.681849440878
1611468714084.3030774216602.696922578421
1621444514359.246097183185.753902816894
1631514214398.3659866558743.634013344179
1641490514737.6027963471167.397203652938
1651398214813.9673685687-831.967368568659
1661457514434.4339545291140.56604547089
1671383814498.5584780995-660.558478099534
1681547814197.21971910811280.78028089194

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 6959 & 6910 & 49 \tabularnewline
3 & 7268 & 6932.3532051743 & 335.6467948257 \tabularnewline
4 & 7023 & 7085.47119845665 & -62.4711984566502 \tabularnewline
5 & 7555 & 7056.97259607735 & 498.027403922654 \tabularnewline
6 & 7021 & 7284.1666520428 & -263.1666520428 \tabularnewline
7 & 7297 & 7164.11322003981 & 132.886779960188 \tabularnewline
8 & 7558 & 7224.73455590516 & 333.265444094837 \tabularnewline
9 & 6945 & 7376.76620589202 & -431.766205892024 \tabularnewline
10 & 7464 & 7179.79970410358 & 284.200295896417 \tabularnewline
11 & 7138 & 7309.44842909888 & -171.448429098878 \tabularnewline
12 & 7355 & 7231.23573700788 & 123.764262992116 \tabularnewline
13 & 6854 & 7287.69549137337 & -433.695491373371 \tabularnewline
14 & 6699 & 7089.84887296852 & -390.848872968515 \tabularnewline
15 & 7324 & 6911.548361752 & 412.451638248001 \tabularnewline
16 & 7514 & 7099.70379224657 & 414.296207753432 \tabularnewline
17 & 7898 & 7288.70069295773 & 609.299307042268 \tabularnewline
18 & 7814 & 7566.65564036334 & 247.34435963666 \tabularnewline
19 & 8049 & 7679.4911346422 & 369.508865357799 \tabularnewline
20 & 8322 & 7848.05659343946 & 473.943406560537 \tabularnewline
21 & 7730 & 8064.26382217119 & -334.263822171188 \tabularnewline
22 & 8049 & 7911.77672422551 & 137.223275774494 \tabularnewline
23 & 7449 & 7974.37631683932 & -525.37631683932 \tabularnewline
24 & 7774 & 7734.70601879794 & 39.2939812020586 \tabularnewline
25 & 6998 & 7752.63145602089 & -754.631456020895 \tabularnewline
26 & 7275 & 7408.37774648179 & -133.377746481792 \tabularnewline
27 & 8177 & 7347.53243764928 & 829.467562350725 \tabularnewline
28 & 8143 & 7725.9254704381 & 417.074529561898 \tabularnewline
29 & 8364 & 7916.18980783141 & 447.810192168594 \tabularnewline
30 & 8292 & 8120.47538139646 & 171.524618603545 \tabularnewline
31 & 8689 & 8198.72283021459 & 490.27716978541 \tabularnewline
32 & 8661 & 8422.38132344905 & 238.61867655095 \tabularnewline
33 & 8080 & 8531.23626702789 & -451.236267027894 \tabularnewline
34 & 8264 & 8325.38775970218 & -61.3877597021819 \tabularnewline
35 & 7822 & 8297.38340893048 & -475.383408930478 \tabularnewline
36 & 8352 & 8080.51926859821 & 271.480731401793 \tabularnewline
37 & 7507 & 8204.36548267766 & -697.365482677664 \tabularnewline
38 & 7341 & 7886.23581500891 & -545.235815008913 \tabularnewline
39 & 8243 & 7637.50585498297 & 605.494145017027 \tabularnewline
40 & 8269 & 7913.72493366467 & 355.27506633533 \tabularnewline
41 & 8615 & 8075.79710613624 & 539.202893863763 \tabularnewline
42 & 8549 & 8321.7749207712 & 227.2250792288 \tabularnewline
43 & 8902 & 8425.43224356198 & 476.567756438024 \tabularnewline
44 & 9035 & 8642.83666885004 & 392.163331149961 \tabularnewline
45 & 8271 & 8821.73681993233 & -550.736819932328 \tabularnewline
46 & 8328 & 8570.49736823868 & -242.497368238675 \tabularnewline
47 & 7987 & 8459.87301259649 & -472.873012596492 \tabularnewline
48 & 8383 & 8244.15408459733 & 138.84591540267 \tabularnewline
49 & 7532 & 8307.49390571181 & -775.493905711808 \tabularnewline
50 & 7943 & 7953.72299987925 & -10.7229998792463 \tabularnewline
51 & 8685 & 7948.83129750405 & 736.168702495954 \tabularnewline
52 & 8502 & 8284.66252300997 & 217.337476990026 \tabularnewline
53 & 8977 & 8383.80924168799 & 593.190758312008 \tabularnewline
54 & 8716 & 8654.41566470936 & 61.5843352906395 \tabularnewline
55 & 8978 & 8682.50969087823 & 295.490309121771 \tabularnewline
56 & 9548 & 8817.30878285407 & 730.691217145926 \tabularnewline
57 & 8675 & 9150.64124603616 & -475.641246036157 \tabularnewline
58 & 9032 & 8933.65948354624 & 98.3405164537635 \tabularnewline
59 & 9005 & 8978.52123336741 & 26.4787666325865 \tabularnewline
60 & 8921 & 8990.60052527151 & -69.6005252715076 \tabularnewline
61 & 8688 & 8958.8496105443 & -270.849610544301 \tabularnewline
62 & 8640 & 8835.29130613867 & -195.291306138666 \tabularnewline
63 & 9592 & 8746.20178297796 & 845.798217022042 \tabularnewline
64 & 9332 & 9132.04466218512 & 199.955337814878 \tabularnewline
65 & 9976 & 9223.26185997844 & 752.738140021562 \tabularnewline
66 & 9460 & 9566.65186174218 & -106.651861742177 \tabularnewline
67 & 10071 & 9517.99857709434 & 553.00142290566 \tabularnewline
68 & 10517 & 9770.27111317373 & 746.728886826268 \tabularnewline
69 & 9539 & 10110.9197665779 & -571.919766577905 \tabularnewline
70 & 9850 & 9850.01691177068 & -0.0169117706827819 \tabularnewline
71 & 9227 & 9850.00919682619 & -623.009196826195 \tabularnewline
72 & 9699 & 9565.79996412962 & 133.200035870375 \tabularnewline
73 & 9147 & 9626.5642035385 & -479.564203538495 \tabularnewline
74 & 9114 & 9407.79283545797 & -293.792835457967 \tabularnewline
75 & 9972 & 9273.76811036141 & 698.231889638591 \tabularnewline
76 & 9825 & 9592.29302236816 & 232.70697763184 \tabularnewline
77 & 10423 & 9698.45112066399 & 724.548879336007 \tabularnewline
78 & 10203 & 10028.9815239009 & 174.018476099127 \tabularnewline
79 & 10458 & 10108.3666402348 & 349.633359765192 \tabularnewline
80 & 10541 & 10267.8651346554 & 273.134865344553 \tabularnewline
81 & 9844 & 10392.4659445596 & -548.465944559563 \tabularnewline
82 & 10455 & 10142.2624386441 & 312.737561355872 \tabularnewline
83 & 9715 & 10284.9295177196 & -569.9295177196 \tabularnewline
84 & 10338 & 10024.9345902813 & 313.065409718691 \tabularnewline
85 & 9583 & 10167.7512298 & -584.751229800049 \tabularnewline
86 & 9515 & 9900.99481723587 & -385.994817235867 \tabularnewline
87 & 10385 & 9724.90866731975 & 660.091332680253 \tabularnewline
88 & 10571 & 10026.0343202418 & 544.965679758232 \tabularnewline
89 & 10792 & 10274.6410478456 & 517.3589521544 \tabularnewline
90 & 10553 & 10510.6539214429 & 42.3460785570878 \tabularnewline
91 & 11083 & 10529.9716884289 & 553.028311571095 \tabularnewline
92 & 10939 & 10782.2564907911 & 156.74350920894 \tabularnewline
93 & 10297 & 10853.7609769357 & -556.760976935699 \tabularnewline
94 & 11056 & 10599.7733779462 & 456.226622053844 \tabularnewline
95 & 10229 & 10807.8984246553 & -578.89842465529 \tabularnewline
96 & 10703 & 10543.8119907492 & 159.188009250811 \tabularnewline
97 & 10092 & 10616.4316281384 & -524.431628138409 \tabularnewline
98 & 10532 & 10377.1922856145 & 154.807714385473 \tabularnewline
99 & 11464 & 10447.8136856599 & 1016.18631434011 \tabularnewline
100 & 11240 & 10911.3855464713 & 328.614453528669 \tabularnewline
101 & 11393 & 11061.2954710217 & 331.704528978324 \tabularnewline
102 & 11332 & 11212.6150504808 & 119.384949519199 \tabularnewline
103 & 11752 & 11267.0770152017 & 484.922984798257 \tabularnewline
104 & 11581 & 11488.2929942411 & 92.7070057588789 \tabularnewline
105 & 11257 & 11530.5848048702 & -273.584804870166 \tabularnewline
106 & 11447 & 11405.7787380164 & 41.2212619835827 \tabularnewline
107 & 10742 & 11424.5833773361 & -682.583377336063 \tabularnewline
108 & 11372 & 11113.1971266797 & 258.802873320261 \tabularnewline
109 & 10726 & 11231.2598558027 & -505.259855802724 \tabularnewline
110 & 10691 & 11000.7664430865 & -309.766443086486 \tabularnewline
111 & 11919 & 10859.4547520982 & 1059.54524790179 \tabularnewline
112 & 11312 & 11342.8064320534 & -30.8064320533867 \tabularnewline
113 & 12002 & 11328.7529117192 & 673.247088280848 \tabularnewline
114 & 12191 & 11635.8800606445 & 555.1199393555 \tabularnewline
115 & 12374 & 11889.119038211 & 484.880961788997 \tabularnewline
116 & 12797 & 12110.3158468637 & 686.684153136313 \tabularnewline
117 & 11292 & 12423.5728216595 & -1131.57282165954 \tabularnewline
118 & 11523 & 11907.3630369204 & -384.363036920402 \tabularnewline
119 & 11259 & 11732.0212853755 & -473.021285375526 \tabularnewline
120 & 12596 & 11516.2347171345 & 1079.7652828655 \tabularnewline
121 & 11520 & 12008.810531583 & -488.810531583049 \tabularnewline
122 & 11414 & 11785.8211008925 & -371.821100892545 \tabularnewline
123 & 12696 & 11616.2008283133 & 1079.79917168675 \tabularnewline
124 & 12140 & 12108.7921024307 & 31.2078975693312 \tabularnewline
125 & 12857 & 12123.0287664598 & 733.971233540233 \tabularnewline
126 & 12685 & 12457.8575333038 & 227.142466696168 \tabularnewline
127 & 12873 & 12561.4771692601 & 311.522830739921 \tabularnewline
128 & 13357 & 12703.5901029745 & 653.409897025467 \tabularnewline
129 & 11743 & 13001.6677660588 & -1258.66776605879 \tabularnewline
130 & 12129 & 12427.4788105284 & -298.478810528375 \tabularnewline
131 & 12003 & 12291.3164004892 & -288.316400489153 \tabularnewline
132 & 12794 & 12159.7899585453 & 634.21004145472 \tabularnewline
133 & 11811 & 12449.108880591 & -638.108880590971 \tabularnewline
134 & 11523 & 12158.0113554605 & -635.0113554605 \tabularnewline
135 & 12957 & 11868.3268836928 & 1088.67311630724 \tabularnewline
136 & 12423 & 12364.9663436226 & 58.033656377429 \tabularnewline
137 & 13741 & 12391.440593174 & 1349.55940682601 \tabularnewline
138 & 13250 & 13007.0932118615 & 242.906788138484 \tabularnewline
139 & 13673 & 13117.9043398919 & 555.09566010808 \tabularnewline
140 & 14329 & 13371.1322415605 & 957.867758439517 \tabularnewline
141 & 12465 & 13808.0998851165 & -1343.09988511652 \tabularnewline
142 & 13026 & 13195.3940218188 & -169.394021818789 \tabularnewline
143 & 12606 & 13118.1185253899 & -512.118525389906 \tabularnewline
144 & 13281 & 12884.4962708674 & 396.503729132557 \tabularnewline
145 & 12953 & 13065.37645882 & -112.376458819999 \tabularnewline
146 & 12926 & 13014.1116824779 & -88.1116824778619 \tabularnewline
147 & 13709 & 12973.9162025456 & 735.083797454392 \tabularnewline
148 & 13324 & 13309.2525075416 & 14.7474924584367 \tabularnewline
149 & 14042 & 13315.9801345769 & 726.019865423134 \tabularnewline
150 & 13669 & 13647.18158381 & 21.8184161900481 \tabularnewline
151 & 14572 & 13657.1348804156 & 914.865119584447 \tabularnewline
152 & 14149 & 14074.4852421478 & 74.5147578521628 \tabularnewline
153 & 13268 & 14108.477970123 & -840.477970122995 \tabularnewline
154 & 13918 & 13725.0621229671 & 192.937877032899 \tabularnewline
155 & 12992 & 13813.0780403387 & -821.07804033874 \tabularnewline
156 & 14312 & 13438.5122056489 & 873.487794351144 \tabularnewline
157 & 13202 & 13836.9867339015 & -634.986733901471 \tabularnewline
158 & 13260 & 13547.3134941901 & -287.313494190075 \tabularnewline
159 & 14359 & 13416.2445659253 & 942.755434074739 \tabularnewline
160 & 14368 & 13846.3181505591 & 521.681849440878 \tabularnewline
161 & 14687 & 14084.3030774216 & 602.696922578421 \tabularnewline
162 & 14445 & 14359.2460971831 & 85.753902816894 \tabularnewline
163 & 15142 & 14398.3659866558 & 743.634013344179 \tabularnewline
164 & 14905 & 14737.6027963471 & 167.397203652938 \tabularnewline
165 & 13982 & 14813.9673685687 & -831.967368568659 \tabularnewline
166 & 14575 & 14434.4339545291 & 140.56604547089 \tabularnewline
167 & 13838 & 14498.5584780995 & -660.558478099534 \tabularnewline
168 & 15478 & 14197.2197191081 & 1280.78028089194 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233231&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]6959[/C][C]6910[/C][C]49[/C][/ROW]
[ROW][C]3[/C][C]7268[/C][C]6932.3532051743[/C][C]335.6467948257[/C][/ROW]
[ROW][C]4[/C][C]7023[/C][C]7085.47119845665[/C][C]-62.4711984566502[/C][/ROW]
[ROW][C]5[/C][C]7555[/C][C]7056.97259607735[/C][C]498.027403922654[/C][/ROW]
[ROW][C]6[/C][C]7021[/C][C]7284.1666520428[/C][C]-263.1666520428[/C][/ROW]
[ROW][C]7[/C][C]7297[/C][C]7164.11322003981[/C][C]132.886779960188[/C][/ROW]
[ROW][C]8[/C][C]7558[/C][C]7224.73455590516[/C][C]333.265444094837[/C][/ROW]
[ROW][C]9[/C][C]6945[/C][C]7376.76620589202[/C][C]-431.766205892024[/C][/ROW]
[ROW][C]10[/C][C]7464[/C][C]7179.79970410358[/C][C]284.200295896417[/C][/ROW]
[ROW][C]11[/C][C]7138[/C][C]7309.44842909888[/C][C]-171.448429098878[/C][/ROW]
[ROW][C]12[/C][C]7355[/C][C]7231.23573700788[/C][C]123.764262992116[/C][/ROW]
[ROW][C]13[/C][C]6854[/C][C]7287.69549137337[/C][C]-433.695491373371[/C][/ROW]
[ROW][C]14[/C][C]6699[/C][C]7089.84887296852[/C][C]-390.848872968515[/C][/ROW]
[ROW][C]15[/C][C]7324[/C][C]6911.548361752[/C][C]412.451638248001[/C][/ROW]
[ROW][C]16[/C][C]7514[/C][C]7099.70379224657[/C][C]414.296207753432[/C][/ROW]
[ROW][C]17[/C][C]7898[/C][C]7288.70069295773[/C][C]609.299307042268[/C][/ROW]
[ROW][C]18[/C][C]7814[/C][C]7566.65564036334[/C][C]247.34435963666[/C][/ROW]
[ROW][C]19[/C][C]8049[/C][C]7679.4911346422[/C][C]369.508865357799[/C][/ROW]
[ROW][C]20[/C][C]8322[/C][C]7848.05659343946[/C][C]473.943406560537[/C][/ROW]
[ROW][C]21[/C][C]7730[/C][C]8064.26382217119[/C][C]-334.263822171188[/C][/ROW]
[ROW][C]22[/C][C]8049[/C][C]7911.77672422551[/C][C]137.223275774494[/C][/ROW]
[ROW][C]23[/C][C]7449[/C][C]7974.37631683932[/C][C]-525.37631683932[/C][/ROW]
[ROW][C]24[/C][C]7774[/C][C]7734.70601879794[/C][C]39.2939812020586[/C][/ROW]
[ROW][C]25[/C][C]6998[/C][C]7752.63145602089[/C][C]-754.631456020895[/C][/ROW]
[ROW][C]26[/C][C]7275[/C][C]7408.37774648179[/C][C]-133.377746481792[/C][/ROW]
[ROW][C]27[/C][C]8177[/C][C]7347.53243764928[/C][C]829.467562350725[/C][/ROW]
[ROW][C]28[/C][C]8143[/C][C]7725.9254704381[/C][C]417.074529561898[/C][/ROW]
[ROW][C]29[/C][C]8364[/C][C]7916.18980783141[/C][C]447.810192168594[/C][/ROW]
[ROW][C]30[/C][C]8292[/C][C]8120.47538139646[/C][C]171.524618603545[/C][/ROW]
[ROW][C]31[/C][C]8689[/C][C]8198.72283021459[/C][C]490.27716978541[/C][/ROW]
[ROW][C]32[/C][C]8661[/C][C]8422.38132344905[/C][C]238.61867655095[/C][/ROW]
[ROW][C]33[/C][C]8080[/C][C]8531.23626702789[/C][C]-451.236267027894[/C][/ROW]
[ROW][C]34[/C][C]8264[/C][C]8325.38775970218[/C][C]-61.3877597021819[/C][/ROW]
[ROW][C]35[/C][C]7822[/C][C]8297.38340893048[/C][C]-475.383408930478[/C][/ROW]
[ROW][C]36[/C][C]8352[/C][C]8080.51926859821[/C][C]271.480731401793[/C][/ROW]
[ROW][C]37[/C][C]7507[/C][C]8204.36548267766[/C][C]-697.365482677664[/C][/ROW]
[ROW][C]38[/C][C]7341[/C][C]7886.23581500891[/C][C]-545.235815008913[/C][/ROW]
[ROW][C]39[/C][C]8243[/C][C]7637.50585498297[/C][C]605.494145017027[/C][/ROW]
[ROW][C]40[/C][C]8269[/C][C]7913.72493366467[/C][C]355.27506633533[/C][/ROW]
[ROW][C]41[/C][C]8615[/C][C]8075.79710613624[/C][C]539.202893863763[/C][/ROW]
[ROW][C]42[/C][C]8549[/C][C]8321.7749207712[/C][C]227.2250792288[/C][/ROW]
[ROW][C]43[/C][C]8902[/C][C]8425.43224356198[/C][C]476.567756438024[/C][/ROW]
[ROW][C]44[/C][C]9035[/C][C]8642.83666885004[/C][C]392.163331149961[/C][/ROW]
[ROW][C]45[/C][C]8271[/C][C]8821.73681993233[/C][C]-550.736819932328[/C][/ROW]
[ROW][C]46[/C][C]8328[/C][C]8570.49736823868[/C][C]-242.497368238675[/C][/ROW]
[ROW][C]47[/C][C]7987[/C][C]8459.87301259649[/C][C]-472.873012596492[/C][/ROW]
[ROW][C]48[/C][C]8383[/C][C]8244.15408459733[/C][C]138.84591540267[/C][/ROW]
[ROW][C]49[/C][C]7532[/C][C]8307.49390571181[/C][C]-775.493905711808[/C][/ROW]
[ROW][C]50[/C][C]7943[/C][C]7953.72299987925[/C][C]-10.7229998792463[/C][/ROW]
[ROW][C]51[/C][C]8685[/C][C]7948.83129750405[/C][C]736.168702495954[/C][/ROW]
[ROW][C]52[/C][C]8502[/C][C]8284.66252300997[/C][C]217.337476990026[/C][/ROW]
[ROW][C]53[/C][C]8977[/C][C]8383.80924168799[/C][C]593.190758312008[/C][/ROW]
[ROW][C]54[/C][C]8716[/C][C]8654.41566470936[/C][C]61.5843352906395[/C][/ROW]
[ROW][C]55[/C][C]8978[/C][C]8682.50969087823[/C][C]295.490309121771[/C][/ROW]
[ROW][C]56[/C][C]9548[/C][C]8817.30878285407[/C][C]730.691217145926[/C][/ROW]
[ROW][C]57[/C][C]8675[/C][C]9150.64124603616[/C][C]-475.641246036157[/C][/ROW]
[ROW][C]58[/C][C]9032[/C][C]8933.65948354624[/C][C]98.3405164537635[/C][/ROW]
[ROW][C]59[/C][C]9005[/C][C]8978.52123336741[/C][C]26.4787666325865[/C][/ROW]
[ROW][C]60[/C][C]8921[/C][C]8990.60052527151[/C][C]-69.6005252715076[/C][/ROW]
[ROW][C]61[/C][C]8688[/C][C]8958.8496105443[/C][C]-270.849610544301[/C][/ROW]
[ROW][C]62[/C][C]8640[/C][C]8835.29130613867[/C][C]-195.291306138666[/C][/ROW]
[ROW][C]63[/C][C]9592[/C][C]8746.20178297796[/C][C]845.798217022042[/C][/ROW]
[ROW][C]64[/C][C]9332[/C][C]9132.04466218512[/C][C]199.955337814878[/C][/ROW]
[ROW][C]65[/C][C]9976[/C][C]9223.26185997844[/C][C]752.738140021562[/C][/ROW]
[ROW][C]66[/C][C]9460[/C][C]9566.65186174218[/C][C]-106.651861742177[/C][/ROW]
[ROW][C]67[/C][C]10071[/C][C]9517.99857709434[/C][C]553.00142290566[/C][/ROW]
[ROW][C]68[/C][C]10517[/C][C]9770.27111317373[/C][C]746.728886826268[/C][/ROW]
[ROW][C]69[/C][C]9539[/C][C]10110.9197665779[/C][C]-571.919766577905[/C][/ROW]
[ROW][C]70[/C][C]9850[/C][C]9850.01691177068[/C][C]-0.0169117706827819[/C][/ROW]
[ROW][C]71[/C][C]9227[/C][C]9850.00919682619[/C][C]-623.009196826195[/C][/ROW]
[ROW][C]72[/C][C]9699[/C][C]9565.79996412962[/C][C]133.200035870375[/C][/ROW]
[ROW][C]73[/C][C]9147[/C][C]9626.5642035385[/C][C]-479.564203538495[/C][/ROW]
[ROW][C]74[/C][C]9114[/C][C]9407.79283545797[/C][C]-293.792835457967[/C][/ROW]
[ROW][C]75[/C][C]9972[/C][C]9273.76811036141[/C][C]698.231889638591[/C][/ROW]
[ROW][C]76[/C][C]9825[/C][C]9592.29302236816[/C][C]232.70697763184[/C][/ROW]
[ROW][C]77[/C][C]10423[/C][C]9698.45112066399[/C][C]724.548879336007[/C][/ROW]
[ROW][C]78[/C][C]10203[/C][C]10028.9815239009[/C][C]174.018476099127[/C][/ROW]
[ROW][C]79[/C][C]10458[/C][C]10108.3666402348[/C][C]349.633359765192[/C][/ROW]
[ROW][C]80[/C][C]10541[/C][C]10267.8651346554[/C][C]273.134865344553[/C][/ROW]
[ROW][C]81[/C][C]9844[/C][C]10392.4659445596[/C][C]-548.465944559563[/C][/ROW]
[ROW][C]82[/C][C]10455[/C][C]10142.2624386441[/C][C]312.737561355872[/C][/ROW]
[ROW][C]83[/C][C]9715[/C][C]10284.9295177196[/C][C]-569.9295177196[/C][/ROW]
[ROW][C]84[/C][C]10338[/C][C]10024.9345902813[/C][C]313.065409718691[/C][/ROW]
[ROW][C]85[/C][C]9583[/C][C]10167.7512298[/C][C]-584.751229800049[/C][/ROW]
[ROW][C]86[/C][C]9515[/C][C]9900.99481723587[/C][C]-385.994817235867[/C][/ROW]
[ROW][C]87[/C][C]10385[/C][C]9724.90866731975[/C][C]660.091332680253[/C][/ROW]
[ROW][C]88[/C][C]10571[/C][C]10026.0343202418[/C][C]544.965679758232[/C][/ROW]
[ROW][C]89[/C][C]10792[/C][C]10274.6410478456[/C][C]517.3589521544[/C][/ROW]
[ROW][C]90[/C][C]10553[/C][C]10510.6539214429[/C][C]42.3460785570878[/C][/ROW]
[ROW][C]91[/C][C]11083[/C][C]10529.9716884289[/C][C]553.028311571095[/C][/ROW]
[ROW][C]92[/C][C]10939[/C][C]10782.2564907911[/C][C]156.74350920894[/C][/ROW]
[ROW][C]93[/C][C]10297[/C][C]10853.7609769357[/C][C]-556.760976935699[/C][/ROW]
[ROW][C]94[/C][C]11056[/C][C]10599.7733779462[/C][C]456.226622053844[/C][/ROW]
[ROW][C]95[/C][C]10229[/C][C]10807.8984246553[/C][C]-578.89842465529[/C][/ROW]
[ROW][C]96[/C][C]10703[/C][C]10543.8119907492[/C][C]159.188009250811[/C][/ROW]
[ROW][C]97[/C][C]10092[/C][C]10616.4316281384[/C][C]-524.431628138409[/C][/ROW]
[ROW][C]98[/C][C]10532[/C][C]10377.1922856145[/C][C]154.807714385473[/C][/ROW]
[ROW][C]99[/C][C]11464[/C][C]10447.8136856599[/C][C]1016.18631434011[/C][/ROW]
[ROW][C]100[/C][C]11240[/C][C]10911.3855464713[/C][C]328.614453528669[/C][/ROW]
[ROW][C]101[/C][C]11393[/C][C]11061.2954710217[/C][C]331.704528978324[/C][/ROW]
[ROW][C]102[/C][C]11332[/C][C]11212.6150504808[/C][C]119.384949519199[/C][/ROW]
[ROW][C]103[/C][C]11752[/C][C]11267.0770152017[/C][C]484.922984798257[/C][/ROW]
[ROW][C]104[/C][C]11581[/C][C]11488.2929942411[/C][C]92.7070057588789[/C][/ROW]
[ROW][C]105[/C][C]11257[/C][C]11530.5848048702[/C][C]-273.584804870166[/C][/ROW]
[ROW][C]106[/C][C]11447[/C][C]11405.7787380164[/C][C]41.2212619835827[/C][/ROW]
[ROW][C]107[/C][C]10742[/C][C]11424.5833773361[/C][C]-682.583377336063[/C][/ROW]
[ROW][C]108[/C][C]11372[/C][C]11113.1971266797[/C][C]258.802873320261[/C][/ROW]
[ROW][C]109[/C][C]10726[/C][C]11231.2598558027[/C][C]-505.259855802724[/C][/ROW]
[ROW][C]110[/C][C]10691[/C][C]11000.7664430865[/C][C]-309.766443086486[/C][/ROW]
[ROW][C]111[/C][C]11919[/C][C]10859.4547520982[/C][C]1059.54524790179[/C][/ROW]
[ROW][C]112[/C][C]11312[/C][C]11342.8064320534[/C][C]-30.8064320533867[/C][/ROW]
[ROW][C]113[/C][C]12002[/C][C]11328.7529117192[/C][C]673.247088280848[/C][/ROW]
[ROW][C]114[/C][C]12191[/C][C]11635.8800606445[/C][C]555.1199393555[/C][/ROW]
[ROW][C]115[/C][C]12374[/C][C]11889.119038211[/C][C]484.880961788997[/C][/ROW]
[ROW][C]116[/C][C]12797[/C][C]12110.3158468637[/C][C]686.684153136313[/C][/ROW]
[ROW][C]117[/C][C]11292[/C][C]12423.5728216595[/C][C]-1131.57282165954[/C][/ROW]
[ROW][C]118[/C][C]11523[/C][C]11907.3630369204[/C][C]-384.363036920402[/C][/ROW]
[ROW][C]119[/C][C]11259[/C][C]11732.0212853755[/C][C]-473.021285375526[/C][/ROW]
[ROW][C]120[/C][C]12596[/C][C]11516.2347171345[/C][C]1079.7652828655[/C][/ROW]
[ROW][C]121[/C][C]11520[/C][C]12008.810531583[/C][C]-488.810531583049[/C][/ROW]
[ROW][C]122[/C][C]11414[/C][C]11785.8211008925[/C][C]-371.821100892545[/C][/ROW]
[ROW][C]123[/C][C]12696[/C][C]11616.2008283133[/C][C]1079.79917168675[/C][/ROW]
[ROW][C]124[/C][C]12140[/C][C]12108.7921024307[/C][C]31.2078975693312[/C][/ROW]
[ROW][C]125[/C][C]12857[/C][C]12123.0287664598[/C][C]733.971233540233[/C][/ROW]
[ROW][C]126[/C][C]12685[/C][C]12457.8575333038[/C][C]227.142466696168[/C][/ROW]
[ROW][C]127[/C][C]12873[/C][C]12561.4771692601[/C][C]311.522830739921[/C][/ROW]
[ROW][C]128[/C][C]13357[/C][C]12703.5901029745[/C][C]653.409897025467[/C][/ROW]
[ROW][C]129[/C][C]11743[/C][C]13001.6677660588[/C][C]-1258.66776605879[/C][/ROW]
[ROW][C]130[/C][C]12129[/C][C]12427.4788105284[/C][C]-298.478810528375[/C][/ROW]
[ROW][C]131[/C][C]12003[/C][C]12291.3164004892[/C][C]-288.316400489153[/C][/ROW]
[ROW][C]132[/C][C]12794[/C][C]12159.7899585453[/C][C]634.21004145472[/C][/ROW]
[ROW][C]133[/C][C]11811[/C][C]12449.108880591[/C][C]-638.108880590971[/C][/ROW]
[ROW][C]134[/C][C]11523[/C][C]12158.0113554605[/C][C]-635.0113554605[/C][/ROW]
[ROW][C]135[/C][C]12957[/C][C]11868.3268836928[/C][C]1088.67311630724[/C][/ROW]
[ROW][C]136[/C][C]12423[/C][C]12364.9663436226[/C][C]58.033656377429[/C][/ROW]
[ROW][C]137[/C][C]13741[/C][C]12391.440593174[/C][C]1349.55940682601[/C][/ROW]
[ROW][C]138[/C][C]13250[/C][C]13007.0932118615[/C][C]242.906788138484[/C][/ROW]
[ROW][C]139[/C][C]13673[/C][C]13117.9043398919[/C][C]555.09566010808[/C][/ROW]
[ROW][C]140[/C][C]14329[/C][C]13371.1322415605[/C][C]957.867758439517[/C][/ROW]
[ROW][C]141[/C][C]12465[/C][C]13808.0998851165[/C][C]-1343.09988511652[/C][/ROW]
[ROW][C]142[/C][C]13026[/C][C]13195.3940218188[/C][C]-169.394021818789[/C][/ROW]
[ROW][C]143[/C][C]12606[/C][C]13118.1185253899[/C][C]-512.118525389906[/C][/ROW]
[ROW][C]144[/C][C]13281[/C][C]12884.4962708674[/C][C]396.503729132557[/C][/ROW]
[ROW][C]145[/C][C]12953[/C][C]13065.37645882[/C][C]-112.376458819999[/C][/ROW]
[ROW][C]146[/C][C]12926[/C][C]13014.1116824779[/C][C]-88.1116824778619[/C][/ROW]
[ROW][C]147[/C][C]13709[/C][C]12973.9162025456[/C][C]735.083797454392[/C][/ROW]
[ROW][C]148[/C][C]13324[/C][C]13309.2525075416[/C][C]14.7474924584367[/C][/ROW]
[ROW][C]149[/C][C]14042[/C][C]13315.9801345769[/C][C]726.019865423134[/C][/ROW]
[ROW][C]150[/C][C]13669[/C][C]13647.18158381[/C][C]21.8184161900481[/C][/ROW]
[ROW][C]151[/C][C]14572[/C][C]13657.1348804156[/C][C]914.865119584447[/C][/ROW]
[ROW][C]152[/C][C]14149[/C][C]14074.4852421478[/C][C]74.5147578521628[/C][/ROW]
[ROW][C]153[/C][C]13268[/C][C]14108.477970123[/C][C]-840.477970122995[/C][/ROW]
[ROW][C]154[/C][C]13918[/C][C]13725.0621229671[/C][C]192.937877032899[/C][/ROW]
[ROW][C]155[/C][C]12992[/C][C]13813.0780403387[/C][C]-821.07804033874[/C][/ROW]
[ROW][C]156[/C][C]14312[/C][C]13438.5122056489[/C][C]873.487794351144[/C][/ROW]
[ROW][C]157[/C][C]13202[/C][C]13836.9867339015[/C][C]-634.986733901471[/C][/ROW]
[ROW][C]158[/C][C]13260[/C][C]13547.3134941901[/C][C]-287.313494190075[/C][/ROW]
[ROW][C]159[/C][C]14359[/C][C]13416.2445659253[/C][C]942.755434074739[/C][/ROW]
[ROW][C]160[/C][C]14368[/C][C]13846.3181505591[/C][C]521.681849440878[/C][/ROW]
[ROW][C]161[/C][C]14687[/C][C]14084.3030774216[/C][C]602.696922578421[/C][/ROW]
[ROW][C]162[/C][C]14445[/C][C]14359.2460971831[/C][C]85.753902816894[/C][/ROW]
[ROW][C]163[/C][C]15142[/C][C]14398.3659866558[/C][C]743.634013344179[/C][/ROW]
[ROW][C]164[/C][C]14905[/C][C]14737.6027963471[/C][C]167.397203652938[/C][/ROW]
[ROW][C]165[/C][C]13982[/C][C]14813.9673685687[/C][C]-831.967368568659[/C][/ROW]
[ROW][C]166[/C][C]14575[/C][C]14434.4339545291[/C][C]140.56604547089[/C][/ROW]
[ROW][C]167[/C][C]13838[/C][C]14498.5584780995[/C][C]-660.558478099534[/C][/ROW]
[ROW][C]168[/C][C]15478[/C][C]14197.2197191081[/C][C]1280.78028089194[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233231&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233231&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
26959691049
372686932.3532051743335.6467948257
470237085.47119845665-62.4711984566502
575557056.97259607735498.027403922654
670217284.1666520428-263.1666520428
772977164.11322003981132.886779960188
875587224.73455590516333.265444094837
969457376.76620589202-431.766205892024
1074647179.79970410358284.200295896417
1171387309.44842909888-171.448429098878
1273557231.23573700788123.764262992116
1368547287.69549137337-433.695491373371
1466997089.84887296852-390.848872968515
1573246911.548361752412.451638248001
1675147099.70379224657414.296207753432
1778987288.70069295773609.299307042268
1878147566.65564036334247.34435963666
1980497679.4911346422369.508865357799
2083227848.05659343946473.943406560537
2177308064.26382217119-334.263822171188
2280497911.77672422551137.223275774494
2374497974.37631683932-525.37631683932
2477747734.7060187979439.2939812020586
2569987752.63145602089-754.631456020895
2672757408.37774648179-133.377746481792
2781777347.53243764928829.467562350725
2881437725.9254704381417.074529561898
2983647916.18980783141447.810192168594
3082928120.47538139646171.524618603545
3186898198.72283021459490.27716978541
3286618422.38132344905238.61867655095
3380808531.23626702789-451.236267027894
3482648325.38775970218-61.3877597021819
3578228297.38340893048-475.383408930478
3683528080.51926859821271.480731401793
3775078204.36548267766-697.365482677664
3873417886.23581500891-545.235815008913
3982437637.50585498297605.494145017027
4082697913.72493366467355.27506633533
4186158075.79710613624539.202893863763
4285498321.7749207712227.2250792288
4389028425.43224356198476.567756438024
4490358642.83666885004392.163331149961
4582718821.73681993233-550.736819932328
4683288570.49736823868-242.497368238675
4779878459.87301259649-472.873012596492
4883838244.15408459733138.84591540267
4975328307.49390571181-775.493905711808
5079437953.72299987925-10.7229998792463
5186857948.83129750405736.168702495954
5285028284.66252300997217.337476990026
5389778383.80924168799593.190758312008
5487168654.4156647093661.5843352906395
5589788682.50969087823295.490309121771
5695488817.30878285407730.691217145926
5786759150.64124603616-475.641246036157
5890328933.6594835462498.3405164537635
5990058978.5212333674126.4787666325865
6089218990.60052527151-69.6005252715076
6186888958.8496105443-270.849610544301
6286408835.29130613867-195.291306138666
6395928746.20178297796845.798217022042
6493329132.04466218512199.955337814878
6599769223.26185997844752.738140021562
6694609566.65186174218-106.651861742177
67100719517.99857709434553.00142290566
68105179770.27111317373746.728886826268
69953910110.9197665779-571.919766577905
7098509850.01691177068-0.0169117706827819
7192279850.00919682619-623.009196826195
7296999565.79996412962133.200035870375
7391479626.5642035385-479.564203538495
7491149407.79283545797-293.792835457967
7599729273.76811036141698.231889638591
7698259592.29302236816232.70697763184
77104239698.45112066399724.548879336007
781020310028.9815239009174.018476099127
791045810108.3666402348349.633359765192
801054110267.8651346554273.134865344553
81984410392.4659445596-548.465944559563
821045510142.2624386441312.737561355872
83971510284.9295177196-569.9295177196
841033810024.9345902813313.065409718691
85958310167.7512298-584.751229800049
8695159900.99481723587-385.994817235867
87103859724.90866731975660.091332680253
881057110026.0343202418544.965679758232
891079210274.6410478456517.3589521544
901055310510.653921442942.3460785570878
911108310529.9716884289553.028311571095
921093910782.2564907911156.74350920894
931029710853.7609769357-556.760976935699
941105610599.7733779462456.226622053844
951022910807.8984246553-578.89842465529
961070310543.8119907492159.188009250811
971009210616.4316281384-524.431628138409
981053210377.1922856145154.807714385473
991146410447.81368565991016.18631434011
1001124010911.3855464713328.614453528669
1011139311061.2954710217331.704528978324
1021133211212.6150504808119.384949519199
1031175211267.0770152017484.922984798257
1041158111488.292994241192.7070057588789
1051125711530.5848048702-273.584804870166
1061144711405.778738016441.2212619835827
1071074211424.5833773361-682.583377336063
1081137211113.1971266797258.802873320261
1091072611231.2598558027-505.259855802724
1101069111000.7664430865-309.766443086486
1111191910859.45475209821059.54524790179
1121131211342.8064320534-30.8064320533867
1131200211328.7529117192673.247088280848
1141219111635.8800606445555.1199393555
1151237411889.119038211484.880961788997
1161279712110.3158468637686.684153136313
1171129212423.5728216595-1131.57282165954
1181152311907.3630369204-384.363036920402
1191125911732.0212853755-473.021285375526
1201259611516.23471713451079.7652828655
1211152012008.810531583-488.810531583049
1221141411785.8211008925-371.821100892545
1231269611616.20082831331079.79917168675
1241214012108.792102430731.2078975693312
1251285712123.0287664598733.971233540233
1261268512457.8575333038227.142466696168
1271287312561.4771692601311.522830739921
1281335712703.5901029745653.409897025467
1291174313001.6677660588-1258.66776605879
1301212912427.4788105284-298.478810528375
1311200312291.3164004892-288.316400489153
1321279412159.7899585453634.21004145472
1331181112449.108880591-638.108880590971
1341152312158.0113554605-635.0113554605
1351295711868.32688369281088.67311630724
1361242312364.966343622658.033656377429
1371374112391.4405931741349.55940682601
1381325013007.0932118615242.906788138484
1391367313117.9043398919555.09566010808
1401432913371.1322415605957.867758439517
1411246513808.0998851165-1343.09988511652
1421302613195.3940218188-169.394021818789
1431260613118.1185253899-512.118525389906
1441328112884.4962708674396.503729132557
1451295313065.37645882-112.376458819999
1461292613014.1116824779-88.1116824778619
1471370912973.9162025456735.083797454392
1481332413309.252507541614.7474924584367
1491404213315.9801345769726.019865423134
1501366913647.1815838121.8184161900481
1511457213657.1348804156914.865119584447
1521414914074.485242147874.5147578521628
1531326814108.477970123-840.477970122995
1541391813725.0621229671192.937877032899
1551299213813.0780403387-821.07804033874
1561431213438.5122056489873.487794351144
1571320213836.9867339015-634.986733901471
1581326013547.3134941901-287.313494190075
1591435913416.2445659253942.755434074739
1601436813846.3181505591521.681849440878
1611468714084.3030774216602.696922578421
1621444514359.246097183185.753902816894
1631514214398.3659866558743.634013344179
1641490514737.6027963471167.397203652938
1651398214813.9673685687-831.967368568659
1661457514434.4339545291140.56604547089
1671383814498.5584780995-660.558478099534
1681547814197.21971910811280.78028089194







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
16914781.496135474913744.142782559915818.84948839
17014781.496135474913641.300220170315921.6920507795
17114781.496135474913546.995640638816015.996630311
17214781.496135474913459.400746244716103.5915247051
17314781.496135474913377.259344653316185.7329262965
17414781.496135474913299.664258651516263.3280122983
17514781.496135474913225.934996321816337.057274628
17614781.496135474913155.545581455416407.4466894944
17714781.496135474913088.079485447616474.9127855022
17814781.496135474913023.200171462416539.7920994874
17914781.496135474912960.63110930316602.3611616468
18014781.496135474912900.141785542616662.8504854072

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
169 & 14781.4961354749 & 13744.1427825599 & 15818.84948839 \tabularnewline
170 & 14781.4961354749 & 13641.3002201703 & 15921.6920507795 \tabularnewline
171 & 14781.4961354749 & 13546.9956406388 & 16015.996630311 \tabularnewline
172 & 14781.4961354749 & 13459.4007462447 & 16103.5915247051 \tabularnewline
173 & 14781.4961354749 & 13377.2593446533 & 16185.7329262965 \tabularnewline
174 & 14781.4961354749 & 13299.6642586515 & 16263.3280122983 \tabularnewline
175 & 14781.4961354749 & 13225.9349963218 & 16337.057274628 \tabularnewline
176 & 14781.4961354749 & 13155.5455814554 & 16407.4466894944 \tabularnewline
177 & 14781.4961354749 & 13088.0794854476 & 16474.9127855022 \tabularnewline
178 & 14781.4961354749 & 13023.2001714624 & 16539.7920994874 \tabularnewline
179 & 14781.4961354749 & 12960.631109303 & 16602.3611616468 \tabularnewline
180 & 14781.4961354749 & 12900.1417855426 & 16662.8504854072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233231&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]169[/C][C]14781.4961354749[/C][C]13744.1427825599[/C][C]15818.84948839[/C][/ROW]
[ROW][C]170[/C][C]14781.4961354749[/C][C]13641.3002201703[/C][C]15921.6920507795[/C][/ROW]
[ROW][C]171[/C][C]14781.4961354749[/C][C]13546.9956406388[/C][C]16015.996630311[/C][/ROW]
[ROW][C]172[/C][C]14781.4961354749[/C][C]13459.4007462447[/C][C]16103.5915247051[/C][/ROW]
[ROW][C]173[/C][C]14781.4961354749[/C][C]13377.2593446533[/C][C]16185.7329262965[/C][/ROW]
[ROW][C]174[/C][C]14781.4961354749[/C][C]13299.6642586515[/C][C]16263.3280122983[/C][/ROW]
[ROW][C]175[/C][C]14781.4961354749[/C][C]13225.9349963218[/C][C]16337.057274628[/C][/ROW]
[ROW][C]176[/C][C]14781.4961354749[/C][C]13155.5455814554[/C][C]16407.4466894944[/C][/ROW]
[ROW][C]177[/C][C]14781.4961354749[/C][C]13088.0794854476[/C][C]16474.9127855022[/C][/ROW]
[ROW][C]178[/C][C]14781.4961354749[/C][C]13023.2001714624[/C][C]16539.7920994874[/C][/ROW]
[ROW][C]179[/C][C]14781.4961354749[/C][C]12960.631109303[/C][C]16602.3611616468[/C][/ROW]
[ROW][C]180[/C][C]14781.4961354749[/C][C]12900.1417855426[/C][C]16662.8504854072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233231&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233231&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
16914781.496135474913744.142782559915818.84948839
17014781.496135474913641.300220170315921.6920507795
17114781.496135474913546.995640638816015.996630311
17214781.496135474913459.400746244716103.5915247051
17314781.496135474913377.259344653316185.7329262965
17414781.496135474913299.664258651516263.3280122983
17514781.496135474913225.934996321816337.057274628
17614781.496135474913155.545581455416407.4466894944
17714781.496135474913088.079485447616474.9127855022
17814781.496135474913023.200171462416539.7920994874
17914781.496135474912960.63110930316602.3611616468
18014781.496135474912900.141785542616662.8504854072



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')