Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 29 Nov 2015 20:52:40 +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/2015/Nov/29/t1448830379i68iclwls556zud.htm/, Retrieved Wed, 15 May 2024 09:20:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284520, Retrieved Wed, 15 May 2024 09:20:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-11-29 20:52:40] [52b8a1f318e0a92009217e543c58643f] [Current]
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Dataseries X:
1747
1245
1182
958
1000
1044
875
939
736
905
796
372
1326
668
962
912
1119
891
931
1047
982
1098
714
128
1784
828
1199
1095
977
1338
975
840
1324
1236
883
177
2186
809
1434
1365
1247
1476
1211
990
1205
1238
952
204
2135
1157
1290
1071
1169
1431
945
1034
1100
1297
921
236
1990
966
1326
908
1206
1861
929
1296
1332
1352
1040
148
2090
1435
1124
1319
1436
1774
1566
1385
1147
1274
625
52
1990
1154
954
887
825
966
954
770
1838
1371
589
116
1898
712
1175
1240
1329
1550
1201
938
1030
1060
1035
635
2565
910
1304
1331
1681
1983
1021
1061
1292
1274
1024
568
2570
1125
1600
1492
2492
3523
990
869
1310
979
1244
442
2956
1055
2004
1462
1144
1454
1538
1388
1547
1570
1535
1352
1888
999
1158
1342
1443
1519
1267
1454
987
1430
1254
734




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284520&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284520&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284520&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.119344792947058
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.119344792947058 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284520&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]0.119344792947058[/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=284520&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284520&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
alpha0.119344792947058
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
212451747-502
311821687.08891394058-505.088913940577
49581626.80918208648-668.809182086485
510001546.99028872928-546.990288729282
610441481.70984597683-437.709845976835
78751429.47145503784-554.471455037841
89391363.2981740413-424.298174041296
97361312.66039631252-576.660396312523
109051243.83898071384-338.838980713837
117961203.40031271815-407.400312718152
123721154.77920675024-782.779206750237
1313261061.35858439737264.641415602632
146681092.94215934768-424.94215934768
159621042.22752532586-80.2275253258558
169121032.65278792719-120.652787927187
1711191018.25350593353100.746494066469
188911030.27707540804-139.277075408036
199311013.65508168119-82.6550816811923
2010471003.7906280719343.2093719280717
219821008.94744161806-26.9474416180564
2210981005.731404777792.2685952223035
237141016.74318117002-302.743181170018
24128980.612358897149-852.612358897149
251784878.857513460466905.142486539534
26828986.881556104112-158.881556104112
271199967.91986968776231.08013031224
281095995.49807999405499.5019200059462
299771007.373116035-30.3731160349982
3013381003.74824279064334.251757209356
319751043.63944954699-68.6394495469854
328401035.4476886528-195.4476886528
3313241012.12202471855311.877975281449
3412361049.34303710326186.656962896737
358831071.6195736923-188.619573692301
361771049.10880972423-872.108809724231
372186945.0271644003881240.97283559961
388091093.13081051795-284.130810517947
3914341059.2212777668374.778722233197
4013651103.94916677269261.050833227313
4112471135.10422441286111.895775587143
4214761148.45840258196327.541597418045
4312111187.5487867073623.4512132926395
449901190.34756690213-200.347566902128
4512051166.4371280127538.5628719872534
4612381171.0394059855166.9605940144907
479521179.03080421378-227.030804213781
482041151.93585989228-947.935859892283
4921351038.804650966351096.19534903365
5011571169.6298579263-12.6298579262966
5112901168.12255014713121.877449852868
5210711182.66798916474-111.667989164738
5311691169.34099611906-0.340996119058218
5414311169.30030000783261.699699992167
559451200.53279651771-255.532796517706
5610341170.03628782612-136.036287826118
5711001153.80106522222-53.8010652222233
5812971147.38018823295149.619811767054
599211165.23653368906-244.236533689063
602361136.08817514583-900.088175145835
6119901028.66733824896961.33266175104
629661143.39738571888-177.397385718882
6313261122.22593145091203.774068549087
649081146.54530546988-238.545305469883
6512061118.0761653800987.9238346199124
6618611128.56941721791732.430582782088
679291215.98119346813-286.981193468134
6812961181.73148235398114.26851764602
6913321195.36883493281136.631165067189
7013521211.67505303787140.32494696213
7110401228.42210477837-188.422104778373
721481205.93490769695-1057.93490769695
7320901079.675885186391010.32411481361
7414351200.25280747824234.747192521758
7511241228.26866256465-104.268662564654
7613191215.82474062001103.175259379991
7714361228.13817058797207.861829412027
7817741252.94539758075521.054602419252
7915661315.13055122059250.869448779415
8013851345.0705136419139.9294863580928
8111471349.8358899238-202.835889923796
8212741325.62848263861-51.6284826386086
836251319.46689206793-694.466892067933
84521236.5858846255-1184.5858846255
8519901095.21172749686894.788272503138
8611541202.0000486102-48.0000486102042
879541196.27149274737-242.271492747371
888871167.35765160846-280.357651608461
898251133.89842572613-308.898425726126
909661097.03300706617-131.03300706617
919541081.39489996863-127.394899968627
927701066.19098200936-296.190982009361
9318381030.84213058867807.157869411332
9413711127.17221938915243.827780610848
955891156.27179538089-567.271795380894
961161088.57086041646-972.570860416456
971898972.499592453712925.500407546288
987121082.95324696474-370.953246964741
9911751038.6819085127136.318091487304
10012401054.95076291619185.049237083814
10113291077.03542580096251.964574199035
10215501107.10608573874442.893914261258
10312011159.9631682337641.036831766236
1049381164.86070042411-226.860700424109
10510301137.78605710417-107.786057104169
10610601124.92235243649-64.9223524364922
10710351117.17420772732-82.1742077273232
1086351107.36714392052-472.367143920517
10925651050.992584934331514.00741506567
1109101231.68148640565-321.681486405653
11113041193.29047601567110.709523984332
11213311206.50308123285124.496918767155
11316811221.36114022566459.638859774342
11419831276.21664477585706.783355224151
11510211360.5675579635-339.567557963502
11610611320.04193806681-259.04193806681
11712921289.126631603622.87336839637805
11812741289.46955315995-15.4695531599484
11910241287.62334254109-263.623342541091
1205681256.16126930951-688.161269309513
12125701174.032805109581395.96719489042
12211251340.63422094467-215.634220944667
12316001314.89939949373285.100600506275
12414921348.92467163023143.075328369772
12524921365.999967070351126.00003292965
12635231500.382207858722022.61779214128
1279901741.77110947286-751.771109472857
1288691652.05114206924-783.051142069239
12913101558.59806565203-248.598065652028
1309791528.92918097975-549.929180979748
13112441463.29799674018-219.297996740175
1324421437.12592272551-995.125922725515
13329561318.362825521591637.63717447841
13410551513.80629503212-458.806295032119
13520041459.0501527487544.949847251296
13614621524.08707943544-62.0870794354407
13711441516.67730979553-372.677309795531
13814541472.20021342192-18.2002134219167
13915381470.0281127194967.971887280514
14013881478.1402035332-90.1402035331998
14115471467.3824396063279.6175603936756
14215701476.8843808664693.1156191335424
14315351487.9972451520947.0027548479127
14413521493.60677919735-141.606779197353
14518881476.70674745415411.293252545855
1469991525.79245551975-526.792455519752
14711581462.92251898968-304.922518989675
14813421426.53160409596-84.5316040959574
14914431416.4431973076426.5568026923572
15015191419.612613426399.3873865737021
15112671431.47398049849-164.473980498486
15214541411.8448673507242.1551326492845
1539871416.8758629284-429.8758629284
15414301365.5724170742764.4275829257274
15512541373.26151361862-119.261513618623
1567341359.02827296926-625.028272969256

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 1245 & 1747 & -502 \tabularnewline
3 & 1182 & 1687.08891394058 & -505.088913940577 \tabularnewline
4 & 958 & 1626.80918208648 & -668.809182086485 \tabularnewline
5 & 1000 & 1546.99028872928 & -546.990288729282 \tabularnewline
6 & 1044 & 1481.70984597683 & -437.709845976835 \tabularnewline
7 & 875 & 1429.47145503784 & -554.471455037841 \tabularnewline
8 & 939 & 1363.2981740413 & -424.298174041296 \tabularnewline
9 & 736 & 1312.66039631252 & -576.660396312523 \tabularnewline
10 & 905 & 1243.83898071384 & -338.838980713837 \tabularnewline
11 & 796 & 1203.40031271815 & -407.400312718152 \tabularnewline
12 & 372 & 1154.77920675024 & -782.779206750237 \tabularnewline
13 & 1326 & 1061.35858439737 & 264.641415602632 \tabularnewline
14 & 668 & 1092.94215934768 & -424.94215934768 \tabularnewline
15 & 962 & 1042.22752532586 & -80.2275253258558 \tabularnewline
16 & 912 & 1032.65278792719 & -120.652787927187 \tabularnewline
17 & 1119 & 1018.25350593353 & 100.746494066469 \tabularnewline
18 & 891 & 1030.27707540804 & -139.277075408036 \tabularnewline
19 & 931 & 1013.65508168119 & -82.6550816811923 \tabularnewline
20 & 1047 & 1003.79062807193 & 43.2093719280717 \tabularnewline
21 & 982 & 1008.94744161806 & -26.9474416180564 \tabularnewline
22 & 1098 & 1005.7314047777 & 92.2685952223035 \tabularnewline
23 & 714 & 1016.74318117002 & -302.743181170018 \tabularnewline
24 & 128 & 980.612358897149 & -852.612358897149 \tabularnewline
25 & 1784 & 878.857513460466 & 905.142486539534 \tabularnewline
26 & 828 & 986.881556104112 & -158.881556104112 \tabularnewline
27 & 1199 & 967.91986968776 & 231.08013031224 \tabularnewline
28 & 1095 & 995.498079994054 & 99.5019200059462 \tabularnewline
29 & 977 & 1007.373116035 & -30.3731160349982 \tabularnewline
30 & 1338 & 1003.74824279064 & 334.251757209356 \tabularnewline
31 & 975 & 1043.63944954699 & -68.6394495469854 \tabularnewline
32 & 840 & 1035.4476886528 & -195.4476886528 \tabularnewline
33 & 1324 & 1012.12202471855 & 311.877975281449 \tabularnewline
34 & 1236 & 1049.34303710326 & 186.656962896737 \tabularnewline
35 & 883 & 1071.6195736923 & -188.619573692301 \tabularnewline
36 & 177 & 1049.10880972423 & -872.108809724231 \tabularnewline
37 & 2186 & 945.027164400388 & 1240.97283559961 \tabularnewline
38 & 809 & 1093.13081051795 & -284.130810517947 \tabularnewline
39 & 1434 & 1059.2212777668 & 374.778722233197 \tabularnewline
40 & 1365 & 1103.94916677269 & 261.050833227313 \tabularnewline
41 & 1247 & 1135.10422441286 & 111.895775587143 \tabularnewline
42 & 1476 & 1148.45840258196 & 327.541597418045 \tabularnewline
43 & 1211 & 1187.54878670736 & 23.4512132926395 \tabularnewline
44 & 990 & 1190.34756690213 & -200.347566902128 \tabularnewline
45 & 1205 & 1166.43712801275 & 38.5628719872534 \tabularnewline
46 & 1238 & 1171.03940598551 & 66.9605940144907 \tabularnewline
47 & 952 & 1179.03080421378 & -227.030804213781 \tabularnewline
48 & 204 & 1151.93585989228 & -947.935859892283 \tabularnewline
49 & 2135 & 1038.80465096635 & 1096.19534903365 \tabularnewline
50 & 1157 & 1169.6298579263 & -12.6298579262966 \tabularnewline
51 & 1290 & 1168.12255014713 & 121.877449852868 \tabularnewline
52 & 1071 & 1182.66798916474 & -111.667989164738 \tabularnewline
53 & 1169 & 1169.34099611906 & -0.340996119058218 \tabularnewline
54 & 1431 & 1169.30030000783 & 261.699699992167 \tabularnewline
55 & 945 & 1200.53279651771 & -255.532796517706 \tabularnewline
56 & 1034 & 1170.03628782612 & -136.036287826118 \tabularnewline
57 & 1100 & 1153.80106522222 & -53.8010652222233 \tabularnewline
58 & 1297 & 1147.38018823295 & 149.619811767054 \tabularnewline
59 & 921 & 1165.23653368906 & -244.236533689063 \tabularnewline
60 & 236 & 1136.08817514583 & -900.088175145835 \tabularnewline
61 & 1990 & 1028.66733824896 & 961.33266175104 \tabularnewline
62 & 966 & 1143.39738571888 & -177.397385718882 \tabularnewline
63 & 1326 & 1122.22593145091 & 203.774068549087 \tabularnewline
64 & 908 & 1146.54530546988 & -238.545305469883 \tabularnewline
65 & 1206 & 1118.07616538009 & 87.9238346199124 \tabularnewline
66 & 1861 & 1128.56941721791 & 732.430582782088 \tabularnewline
67 & 929 & 1215.98119346813 & -286.981193468134 \tabularnewline
68 & 1296 & 1181.73148235398 & 114.26851764602 \tabularnewline
69 & 1332 & 1195.36883493281 & 136.631165067189 \tabularnewline
70 & 1352 & 1211.67505303787 & 140.32494696213 \tabularnewline
71 & 1040 & 1228.42210477837 & -188.422104778373 \tabularnewline
72 & 148 & 1205.93490769695 & -1057.93490769695 \tabularnewline
73 & 2090 & 1079.67588518639 & 1010.32411481361 \tabularnewline
74 & 1435 & 1200.25280747824 & 234.747192521758 \tabularnewline
75 & 1124 & 1228.26866256465 & -104.268662564654 \tabularnewline
76 & 1319 & 1215.82474062001 & 103.175259379991 \tabularnewline
77 & 1436 & 1228.13817058797 & 207.861829412027 \tabularnewline
78 & 1774 & 1252.94539758075 & 521.054602419252 \tabularnewline
79 & 1566 & 1315.13055122059 & 250.869448779415 \tabularnewline
80 & 1385 & 1345.07051364191 & 39.9294863580928 \tabularnewline
81 & 1147 & 1349.8358899238 & -202.835889923796 \tabularnewline
82 & 1274 & 1325.62848263861 & -51.6284826386086 \tabularnewline
83 & 625 & 1319.46689206793 & -694.466892067933 \tabularnewline
84 & 52 & 1236.5858846255 & -1184.5858846255 \tabularnewline
85 & 1990 & 1095.21172749686 & 894.788272503138 \tabularnewline
86 & 1154 & 1202.0000486102 & -48.0000486102042 \tabularnewline
87 & 954 & 1196.27149274737 & -242.271492747371 \tabularnewline
88 & 887 & 1167.35765160846 & -280.357651608461 \tabularnewline
89 & 825 & 1133.89842572613 & -308.898425726126 \tabularnewline
90 & 966 & 1097.03300706617 & -131.03300706617 \tabularnewline
91 & 954 & 1081.39489996863 & -127.394899968627 \tabularnewline
92 & 770 & 1066.19098200936 & -296.190982009361 \tabularnewline
93 & 1838 & 1030.84213058867 & 807.157869411332 \tabularnewline
94 & 1371 & 1127.17221938915 & 243.827780610848 \tabularnewline
95 & 589 & 1156.27179538089 & -567.271795380894 \tabularnewline
96 & 116 & 1088.57086041646 & -972.570860416456 \tabularnewline
97 & 1898 & 972.499592453712 & 925.500407546288 \tabularnewline
98 & 712 & 1082.95324696474 & -370.953246964741 \tabularnewline
99 & 1175 & 1038.6819085127 & 136.318091487304 \tabularnewline
100 & 1240 & 1054.95076291619 & 185.049237083814 \tabularnewline
101 & 1329 & 1077.03542580096 & 251.964574199035 \tabularnewline
102 & 1550 & 1107.10608573874 & 442.893914261258 \tabularnewline
103 & 1201 & 1159.96316823376 & 41.036831766236 \tabularnewline
104 & 938 & 1164.86070042411 & -226.860700424109 \tabularnewline
105 & 1030 & 1137.78605710417 & -107.786057104169 \tabularnewline
106 & 1060 & 1124.92235243649 & -64.9223524364922 \tabularnewline
107 & 1035 & 1117.17420772732 & -82.1742077273232 \tabularnewline
108 & 635 & 1107.36714392052 & -472.367143920517 \tabularnewline
109 & 2565 & 1050.99258493433 & 1514.00741506567 \tabularnewline
110 & 910 & 1231.68148640565 & -321.681486405653 \tabularnewline
111 & 1304 & 1193.29047601567 & 110.709523984332 \tabularnewline
112 & 1331 & 1206.50308123285 & 124.496918767155 \tabularnewline
113 & 1681 & 1221.36114022566 & 459.638859774342 \tabularnewline
114 & 1983 & 1276.21664477585 & 706.783355224151 \tabularnewline
115 & 1021 & 1360.5675579635 & -339.567557963502 \tabularnewline
116 & 1061 & 1320.04193806681 & -259.04193806681 \tabularnewline
117 & 1292 & 1289.12663160362 & 2.87336839637805 \tabularnewline
118 & 1274 & 1289.46955315995 & -15.4695531599484 \tabularnewline
119 & 1024 & 1287.62334254109 & -263.623342541091 \tabularnewline
120 & 568 & 1256.16126930951 & -688.161269309513 \tabularnewline
121 & 2570 & 1174.03280510958 & 1395.96719489042 \tabularnewline
122 & 1125 & 1340.63422094467 & -215.634220944667 \tabularnewline
123 & 1600 & 1314.89939949373 & 285.100600506275 \tabularnewline
124 & 1492 & 1348.92467163023 & 143.075328369772 \tabularnewline
125 & 2492 & 1365.99996707035 & 1126.00003292965 \tabularnewline
126 & 3523 & 1500.38220785872 & 2022.61779214128 \tabularnewline
127 & 990 & 1741.77110947286 & -751.771109472857 \tabularnewline
128 & 869 & 1652.05114206924 & -783.051142069239 \tabularnewline
129 & 1310 & 1558.59806565203 & -248.598065652028 \tabularnewline
130 & 979 & 1528.92918097975 & -549.929180979748 \tabularnewline
131 & 1244 & 1463.29799674018 & -219.297996740175 \tabularnewline
132 & 442 & 1437.12592272551 & -995.125922725515 \tabularnewline
133 & 2956 & 1318.36282552159 & 1637.63717447841 \tabularnewline
134 & 1055 & 1513.80629503212 & -458.806295032119 \tabularnewline
135 & 2004 & 1459.0501527487 & 544.949847251296 \tabularnewline
136 & 1462 & 1524.08707943544 & -62.0870794354407 \tabularnewline
137 & 1144 & 1516.67730979553 & -372.677309795531 \tabularnewline
138 & 1454 & 1472.20021342192 & -18.2002134219167 \tabularnewline
139 & 1538 & 1470.02811271949 & 67.971887280514 \tabularnewline
140 & 1388 & 1478.1402035332 & -90.1402035331998 \tabularnewline
141 & 1547 & 1467.38243960632 & 79.6175603936756 \tabularnewline
142 & 1570 & 1476.88438086646 & 93.1156191335424 \tabularnewline
143 & 1535 & 1487.99724515209 & 47.0027548479127 \tabularnewline
144 & 1352 & 1493.60677919735 & -141.606779197353 \tabularnewline
145 & 1888 & 1476.70674745415 & 411.293252545855 \tabularnewline
146 & 999 & 1525.79245551975 & -526.792455519752 \tabularnewline
147 & 1158 & 1462.92251898968 & -304.922518989675 \tabularnewline
148 & 1342 & 1426.53160409596 & -84.5316040959574 \tabularnewline
149 & 1443 & 1416.44319730764 & 26.5568026923572 \tabularnewline
150 & 1519 & 1419.6126134263 & 99.3873865737021 \tabularnewline
151 & 1267 & 1431.47398049849 & -164.473980498486 \tabularnewline
152 & 1454 & 1411.84486735072 & 42.1551326492845 \tabularnewline
153 & 987 & 1416.8758629284 & -429.8758629284 \tabularnewline
154 & 1430 & 1365.57241707427 & 64.4275829257274 \tabularnewline
155 & 1254 & 1373.26151361862 & -119.261513618623 \tabularnewline
156 & 734 & 1359.02827296926 & -625.028272969256 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284520&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]1245[/C][C]1747[/C][C]-502[/C][/ROW]
[ROW][C]3[/C][C]1182[/C][C]1687.08891394058[/C][C]-505.088913940577[/C][/ROW]
[ROW][C]4[/C][C]958[/C][C]1626.80918208648[/C][C]-668.809182086485[/C][/ROW]
[ROW][C]5[/C][C]1000[/C][C]1546.99028872928[/C][C]-546.990288729282[/C][/ROW]
[ROW][C]6[/C][C]1044[/C][C]1481.70984597683[/C][C]-437.709845976835[/C][/ROW]
[ROW][C]7[/C][C]875[/C][C]1429.47145503784[/C][C]-554.471455037841[/C][/ROW]
[ROW][C]8[/C][C]939[/C][C]1363.2981740413[/C][C]-424.298174041296[/C][/ROW]
[ROW][C]9[/C][C]736[/C][C]1312.66039631252[/C][C]-576.660396312523[/C][/ROW]
[ROW][C]10[/C][C]905[/C][C]1243.83898071384[/C][C]-338.838980713837[/C][/ROW]
[ROW][C]11[/C][C]796[/C][C]1203.40031271815[/C][C]-407.400312718152[/C][/ROW]
[ROW][C]12[/C][C]372[/C][C]1154.77920675024[/C][C]-782.779206750237[/C][/ROW]
[ROW][C]13[/C][C]1326[/C][C]1061.35858439737[/C][C]264.641415602632[/C][/ROW]
[ROW][C]14[/C][C]668[/C][C]1092.94215934768[/C][C]-424.94215934768[/C][/ROW]
[ROW][C]15[/C][C]962[/C][C]1042.22752532586[/C][C]-80.2275253258558[/C][/ROW]
[ROW][C]16[/C][C]912[/C][C]1032.65278792719[/C][C]-120.652787927187[/C][/ROW]
[ROW][C]17[/C][C]1119[/C][C]1018.25350593353[/C][C]100.746494066469[/C][/ROW]
[ROW][C]18[/C][C]891[/C][C]1030.27707540804[/C][C]-139.277075408036[/C][/ROW]
[ROW][C]19[/C][C]931[/C][C]1013.65508168119[/C][C]-82.6550816811923[/C][/ROW]
[ROW][C]20[/C][C]1047[/C][C]1003.79062807193[/C][C]43.2093719280717[/C][/ROW]
[ROW][C]21[/C][C]982[/C][C]1008.94744161806[/C][C]-26.9474416180564[/C][/ROW]
[ROW][C]22[/C][C]1098[/C][C]1005.7314047777[/C][C]92.2685952223035[/C][/ROW]
[ROW][C]23[/C][C]714[/C][C]1016.74318117002[/C][C]-302.743181170018[/C][/ROW]
[ROW][C]24[/C][C]128[/C][C]980.612358897149[/C][C]-852.612358897149[/C][/ROW]
[ROW][C]25[/C][C]1784[/C][C]878.857513460466[/C][C]905.142486539534[/C][/ROW]
[ROW][C]26[/C][C]828[/C][C]986.881556104112[/C][C]-158.881556104112[/C][/ROW]
[ROW][C]27[/C][C]1199[/C][C]967.91986968776[/C][C]231.08013031224[/C][/ROW]
[ROW][C]28[/C][C]1095[/C][C]995.498079994054[/C][C]99.5019200059462[/C][/ROW]
[ROW][C]29[/C][C]977[/C][C]1007.373116035[/C][C]-30.3731160349982[/C][/ROW]
[ROW][C]30[/C][C]1338[/C][C]1003.74824279064[/C][C]334.251757209356[/C][/ROW]
[ROW][C]31[/C][C]975[/C][C]1043.63944954699[/C][C]-68.6394495469854[/C][/ROW]
[ROW][C]32[/C][C]840[/C][C]1035.4476886528[/C][C]-195.4476886528[/C][/ROW]
[ROW][C]33[/C][C]1324[/C][C]1012.12202471855[/C][C]311.877975281449[/C][/ROW]
[ROW][C]34[/C][C]1236[/C][C]1049.34303710326[/C][C]186.656962896737[/C][/ROW]
[ROW][C]35[/C][C]883[/C][C]1071.6195736923[/C][C]-188.619573692301[/C][/ROW]
[ROW][C]36[/C][C]177[/C][C]1049.10880972423[/C][C]-872.108809724231[/C][/ROW]
[ROW][C]37[/C][C]2186[/C][C]945.027164400388[/C][C]1240.97283559961[/C][/ROW]
[ROW][C]38[/C][C]809[/C][C]1093.13081051795[/C][C]-284.130810517947[/C][/ROW]
[ROW][C]39[/C][C]1434[/C][C]1059.2212777668[/C][C]374.778722233197[/C][/ROW]
[ROW][C]40[/C][C]1365[/C][C]1103.94916677269[/C][C]261.050833227313[/C][/ROW]
[ROW][C]41[/C][C]1247[/C][C]1135.10422441286[/C][C]111.895775587143[/C][/ROW]
[ROW][C]42[/C][C]1476[/C][C]1148.45840258196[/C][C]327.541597418045[/C][/ROW]
[ROW][C]43[/C][C]1211[/C][C]1187.54878670736[/C][C]23.4512132926395[/C][/ROW]
[ROW][C]44[/C][C]990[/C][C]1190.34756690213[/C][C]-200.347566902128[/C][/ROW]
[ROW][C]45[/C][C]1205[/C][C]1166.43712801275[/C][C]38.5628719872534[/C][/ROW]
[ROW][C]46[/C][C]1238[/C][C]1171.03940598551[/C][C]66.9605940144907[/C][/ROW]
[ROW][C]47[/C][C]952[/C][C]1179.03080421378[/C][C]-227.030804213781[/C][/ROW]
[ROW][C]48[/C][C]204[/C][C]1151.93585989228[/C][C]-947.935859892283[/C][/ROW]
[ROW][C]49[/C][C]2135[/C][C]1038.80465096635[/C][C]1096.19534903365[/C][/ROW]
[ROW][C]50[/C][C]1157[/C][C]1169.6298579263[/C][C]-12.6298579262966[/C][/ROW]
[ROW][C]51[/C][C]1290[/C][C]1168.12255014713[/C][C]121.877449852868[/C][/ROW]
[ROW][C]52[/C][C]1071[/C][C]1182.66798916474[/C][C]-111.667989164738[/C][/ROW]
[ROW][C]53[/C][C]1169[/C][C]1169.34099611906[/C][C]-0.340996119058218[/C][/ROW]
[ROW][C]54[/C][C]1431[/C][C]1169.30030000783[/C][C]261.699699992167[/C][/ROW]
[ROW][C]55[/C][C]945[/C][C]1200.53279651771[/C][C]-255.532796517706[/C][/ROW]
[ROW][C]56[/C][C]1034[/C][C]1170.03628782612[/C][C]-136.036287826118[/C][/ROW]
[ROW][C]57[/C][C]1100[/C][C]1153.80106522222[/C][C]-53.8010652222233[/C][/ROW]
[ROW][C]58[/C][C]1297[/C][C]1147.38018823295[/C][C]149.619811767054[/C][/ROW]
[ROW][C]59[/C][C]921[/C][C]1165.23653368906[/C][C]-244.236533689063[/C][/ROW]
[ROW][C]60[/C][C]236[/C][C]1136.08817514583[/C][C]-900.088175145835[/C][/ROW]
[ROW][C]61[/C][C]1990[/C][C]1028.66733824896[/C][C]961.33266175104[/C][/ROW]
[ROW][C]62[/C][C]966[/C][C]1143.39738571888[/C][C]-177.397385718882[/C][/ROW]
[ROW][C]63[/C][C]1326[/C][C]1122.22593145091[/C][C]203.774068549087[/C][/ROW]
[ROW][C]64[/C][C]908[/C][C]1146.54530546988[/C][C]-238.545305469883[/C][/ROW]
[ROW][C]65[/C][C]1206[/C][C]1118.07616538009[/C][C]87.9238346199124[/C][/ROW]
[ROW][C]66[/C][C]1861[/C][C]1128.56941721791[/C][C]732.430582782088[/C][/ROW]
[ROW][C]67[/C][C]929[/C][C]1215.98119346813[/C][C]-286.981193468134[/C][/ROW]
[ROW][C]68[/C][C]1296[/C][C]1181.73148235398[/C][C]114.26851764602[/C][/ROW]
[ROW][C]69[/C][C]1332[/C][C]1195.36883493281[/C][C]136.631165067189[/C][/ROW]
[ROW][C]70[/C][C]1352[/C][C]1211.67505303787[/C][C]140.32494696213[/C][/ROW]
[ROW][C]71[/C][C]1040[/C][C]1228.42210477837[/C][C]-188.422104778373[/C][/ROW]
[ROW][C]72[/C][C]148[/C][C]1205.93490769695[/C][C]-1057.93490769695[/C][/ROW]
[ROW][C]73[/C][C]2090[/C][C]1079.67588518639[/C][C]1010.32411481361[/C][/ROW]
[ROW][C]74[/C][C]1435[/C][C]1200.25280747824[/C][C]234.747192521758[/C][/ROW]
[ROW][C]75[/C][C]1124[/C][C]1228.26866256465[/C][C]-104.268662564654[/C][/ROW]
[ROW][C]76[/C][C]1319[/C][C]1215.82474062001[/C][C]103.175259379991[/C][/ROW]
[ROW][C]77[/C][C]1436[/C][C]1228.13817058797[/C][C]207.861829412027[/C][/ROW]
[ROW][C]78[/C][C]1774[/C][C]1252.94539758075[/C][C]521.054602419252[/C][/ROW]
[ROW][C]79[/C][C]1566[/C][C]1315.13055122059[/C][C]250.869448779415[/C][/ROW]
[ROW][C]80[/C][C]1385[/C][C]1345.07051364191[/C][C]39.9294863580928[/C][/ROW]
[ROW][C]81[/C][C]1147[/C][C]1349.8358899238[/C][C]-202.835889923796[/C][/ROW]
[ROW][C]82[/C][C]1274[/C][C]1325.62848263861[/C][C]-51.6284826386086[/C][/ROW]
[ROW][C]83[/C][C]625[/C][C]1319.46689206793[/C][C]-694.466892067933[/C][/ROW]
[ROW][C]84[/C][C]52[/C][C]1236.5858846255[/C][C]-1184.5858846255[/C][/ROW]
[ROW][C]85[/C][C]1990[/C][C]1095.21172749686[/C][C]894.788272503138[/C][/ROW]
[ROW][C]86[/C][C]1154[/C][C]1202.0000486102[/C][C]-48.0000486102042[/C][/ROW]
[ROW][C]87[/C][C]954[/C][C]1196.27149274737[/C][C]-242.271492747371[/C][/ROW]
[ROW][C]88[/C][C]887[/C][C]1167.35765160846[/C][C]-280.357651608461[/C][/ROW]
[ROW][C]89[/C][C]825[/C][C]1133.89842572613[/C][C]-308.898425726126[/C][/ROW]
[ROW][C]90[/C][C]966[/C][C]1097.03300706617[/C][C]-131.03300706617[/C][/ROW]
[ROW][C]91[/C][C]954[/C][C]1081.39489996863[/C][C]-127.394899968627[/C][/ROW]
[ROW][C]92[/C][C]770[/C][C]1066.19098200936[/C][C]-296.190982009361[/C][/ROW]
[ROW][C]93[/C][C]1838[/C][C]1030.84213058867[/C][C]807.157869411332[/C][/ROW]
[ROW][C]94[/C][C]1371[/C][C]1127.17221938915[/C][C]243.827780610848[/C][/ROW]
[ROW][C]95[/C][C]589[/C][C]1156.27179538089[/C][C]-567.271795380894[/C][/ROW]
[ROW][C]96[/C][C]116[/C][C]1088.57086041646[/C][C]-972.570860416456[/C][/ROW]
[ROW][C]97[/C][C]1898[/C][C]972.499592453712[/C][C]925.500407546288[/C][/ROW]
[ROW][C]98[/C][C]712[/C][C]1082.95324696474[/C][C]-370.953246964741[/C][/ROW]
[ROW][C]99[/C][C]1175[/C][C]1038.6819085127[/C][C]136.318091487304[/C][/ROW]
[ROW][C]100[/C][C]1240[/C][C]1054.95076291619[/C][C]185.049237083814[/C][/ROW]
[ROW][C]101[/C][C]1329[/C][C]1077.03542580096[/C][C]251.964574199035[/C][/ROW]
[ROW][C]102[/C][C]1550[/C][C]1107.10608573874[/C][C]442.893914261258[/C][/ROW]
[ROW][C]103[/C][C]1201[/C][C]1159.96316823376[/C][C]41.036831766236[/C][/ROW]
[ROW][C]104[/C][C]938[/C][C]1164.86070042411[/C][C]-226.860700424109[/C][/ROW]
[ROW][C]105[/C][C]1030[/C][C]1137.78605710417[/C][C]-107.786057104169[/C][/ROW]
[ROW][C]106[/C][C]1060[/C][C]1124.92235243649[/C][C]-64.9223524364922[/C][/ROW]
[ROW][C]107[/C][C]1035[/C][C]1117.17420772732[/C][C]-82.1742077273232[/C][/ROW]
[ROW][C]108[/C][C]635[/C][C]1107.36714392052[/C][C]-472.367143920517[/C][/ROW]
[ROW][C]109[/C][C]2565[/C][C]1050.99258493433[/C][C]1514.00741506567[/C][/ROW]
[ROW][C]110[/C][C]910[/C][C]1231.68148640565[/C][C]-321.681486405653[/C][/ROW]
[ROW][C]111[/C][C]1304[/C][C]1193.29047601567[/C][C]110.709523984332[/C][/ROW]
[ROW][C]112[/C][C]1331[/C][C]1206.50308123285[/C][C]124.496918767155[/C][/ROW]
[ROW][C]113[/C][C]1681[/C][C]1221.36114022566[/C][C]459.638859774342[/C][/ROW]
[ROW][C]114[/C][C]1983[/C][C]1276.21664477585[/C][C]706.783355224151[/C][/ROW]
[ROW][C]115[/C][C]1021[/C][C]1360.5675579635[/C][C]-339.567557963502[/C][/ROW]
[ROW][C]116[/C][C]1061[/C][C]1320.04193806681[/C][C]-259.04193806681[/C][/ROW]
[ROW][C]117[/C][C]1292[/C][C]1289.12663160362[/C][C]2.87336839637805[/C][/ROW]
[ROW][C]118[/C][C]1274[/C][C]1289.46955315995[/C][C]-15.4695531599484[/C][/ROW]
[ROW][C]119[/C][C]1024[/C][C]1287.62334254109[/C][C]-263.623342541091[/C][/ROW]
[ROW][C]120[/C][C]568[/C][C]1256.16126930951[/C][C]-688.161269309513[/C][/ROW]
[ROW][C]121[/C][C]2570[/C][C]1174.03280510958[/C][C]1395.96719489042[/C][/ROW]
[ROW][C]122[/C][C]1125[/C][C]1340.63422094467[/C][C]-215.634220944667[/C][/ROW]
[ROW][C]123[/C][C]1600[/C][C]1314.89939949373[/C][C]285.100600506275[/C][/ROW]
[ROW][C]124[/C][C]1492[/C][C]1348.92467163023[/C][C]143.075328369772[/C][/ROW]
[ROW][C]125[/C][C]2492[/C][C]1365.99996707035[/C][C]1126.00003292965[/C][/ROW]
[ROW][C]126[/C][C]3523[/C][C]1500.38220785872[/C][C]2022.61779214128[/C][/ROW]
[ROW][C]127[/C][C]990[/C][C]1741.77110947286[/C][C]-751.771109472857[/C][/ROW]
[ROW][C]128[/C][C]869[/C][C]1652.05114206924[/C][C]-783.051142069239[/C][/ROW]
[ROW][C]129[/C][C]1310[/C][C]1558.59806565203[/C][C]-248.598065652028[/C][/ROW]
[ROW][C]130[/C][C]979[/C][C]1528.92918097975[/C][C]-549.929180979748[/C][/ROW]
[ROW][C]131[/C][C]1244[/C][C]1463.29799674018[/C][C]-219.297996740175[/C][/ROW]
[ROW][C]132[/C][C]442[/C][C]1437.12592272551[/C][C]-995.125922725515[/C][/ROW]
[ROW][C]133[/C][C]2956[/C][C]1318.36282552159[/C][C]1637.63717447841[/C][/ROW]
[ROW][C]134[/C][C]1055[/C][C]1513.80629503212[/C][C]-458.806295032119[/C][/ROW]
[ROW][C]135[/C][C]2004[/C][C]1459.0501527487[/C][C]544.949847251296[/C][/ROW]
[ROW][C]136[/C][C]1462[/C][C]1524.08707943544[/C][C]-62.0870794354407[/C][/ROW]
[ROW][C]137[/C][C]1144[/C][C]1516.67730979553[/C][C]-372.677309795531[/C][/ROW]
[ROW][C]138[/C][C]1454[/C][C]1472.20021342192[/C][C]-18.2002134219167[/C][/ROW]
[ROW][C]139[/C][C]1538[/C][C]1470.02811271949[/C][C]67.971887280514[/C][/ROW]
[ROW][C]140[/C][C]1388[/C][C]1478.1402035332[/C][C]-90.1402035331998[/C][/ROW]
[ROW][C]141[/C][C]1547[/C][C]1467.38243960632[/C][C]79.6175603936756[/C][/ROW]
[ROW][C]142[/C][C]1570[/C][C]1476.88438086646[/C][C]93.1156191335424[/C][/ROW]
[ROW][C]143[/C][C]1535[/C][C]1487.99724515209[/C][C]47.0027548479127[/C][/ROW]
[ROW][C]144[/C][C]1352[/C][C]1493.60677919735[/C][C]-141.606779197353[/C][/ROW]
[ROW][C]145[/C][C]1888[/C][C]1476.70674745415[/C][C]411.293252545855[/C][/ROW]
[ROW][C]146[/C][C]999[/C][C]1525.79245551975[/C][C]-526.792455519752[/C][/ROW]
[ROW][C]147[/C][C]1158[/C][C]1462.92251898968[/C][C]-304.922518989675[/C][/ROW]
[ROW][C]148[/C][C]1342[/C][C]1426.53160409596[/C][C]-84.5316040959574[/C][/ROW]
[ROW][C]149[/C][C]1443[/C][C]1416.44319730764[/C][C]26.5568026923572[/C][/ROW]
[ROW][C]150[/C][C]1519[/C][C]1419.6126134263[/C][C]99.3873865737021[/C][/ROW]
[ROW][C]151[/C][C]1267[/C][C]1431.47398049849[/C][C]-164.473980498486[/C][/ROW]
[ROW][C]152[/C][C]1454[/C][C]1411.84486735072[/C][C]42.1551326492845[/C][/ROW]
[ROW][C]153[/C][C]987[/C][C]1416.8758629284[/C][C]-429.8758629284[/C][/ROW]
[ROW][C]154[/C][C]1430[/C][C]1365.57241707427[/C][C]64.4275829257274[/C][/ROW]
[ROW][C]155[/C][C]1254[/C][C]1373.26151361862[/C][C]-119.261513618623[/C][/ROW]
[ROW][C]156[/C][C]734[/C][C]1359.02827296926[/C][C]-625.028272969256[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284520&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284520&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
212451747-502
311821687.08891394058-505.088913940577
49581626.80918208648-668.809182086485
510001546.99028872928-546.990288729282
610441481.70984597683-437.709845976835
78751429.47145503784-554.471455037841
89391363.2981740413-424.298174041296
97361312.66039631252-576.660396312523
109051243.83898071384-338.838980713837
117961203.40031271815-407.400312718152
123721154.77920675024-782.779206750237
1313261061.35858439737264.641415602632
146681092.94215934768-424.94215934768
159621042.22752532586-80.2275253258558
169121032.65278792719-120.652787927187
1711191018.25350593353100.746494066469
188911030.27707540804-139.277075408036
199311013.65508168119-82.6550816811923
2010471003.7906280719343.2093719280717
219821008.94744161806-26.9474416180564
2210981005.731404777792.2685952223035
237141016.74318117002-302.743181170018
24128980.612358897149-852.612358897149
251784878.857513460466905.142486539534
26828986.881556104112-158.881556104112
271199967.91986968776231.08013031224
281095995.49807999405499.5019200059462
299771007.373116035-30.3731160349982
3013381003.74824279064334.251757209356
319751043.63944954699-68.6394495469854
328401035.4476886528-195.4476886528
3313241012.12202471855311.877975281449
3412361049.34303710326186.656962896737
358831071.6195736923-188.619573692301
361771049.10880972423-872.108809724231
372186945.0271644003881240.97283559961
388091093.13081051795-284.130810517947
3914341059.2212777668374.778722233197
4013651103.94916677269261.050833227313
4112471135.10422441286111.895775587143
4214761148.45840258196327.541597418045
4312111187.5487867073623.4512132926395
449901190.34756690213-200.347566902128
4512051166.4371280127538.5628719872534
4612381171.0394059855166.9605940144907
479521179.03080421378-227.030804213781
482041151.93585989228-947.935859892283
4921351038.804650966351096.19534903365
5011571169.6298579263-12.6298579262966
5112901168.12255014713121.877449852868
5210711182.66798916474-111.667989164738
5311691169.34099611906-0.340996119058218
5414311169.30030000783261.699699992167
559451200.53279651771-255.532796517706
5610341170.03628782612-136.036287826118
5711001153.80106522222-53.8010652222233
5812971147.38018823295149.619811767054
599211165.23653368906-244.236533689063
602361136.08817514583-900.088175145835
6119901028.66733824896961.33266175104
629661143.39738571888-177.397385718882
6313261122.22593145091203.774068549087
649081146.54530546988-238.545305469883
6512061118.0761653800987.9238346199124
6618611128.56941721791732.430582782088
679291215.98119346813-286.981193468134
6812961181.73148235398114.26851764602
6913321195.36883493281136.631165067189
7013521211.67505303787140.32494696213
7110401228.42210477837-188.422104778373
721481205.93490769695-1057.93490769695
7320901079.675885186391010.32411481361
7414351200.25280747824234.747192521758
7511241228.26866256465-104.268662564654
7613191215.82474062001103.175259379991
7714361228.13817058797207.861829412027
7817741252.94539758075521.054602419252
7915661315.13055122059250.869448779415
8013851345.0705136419139.9294863580928
8111471349.8358899238-202.835889923796
8212741325.62848263861-51.6284826386086
836251319.46689206793-694.466892067933
84521236.5858846255-1184.5858846255
8519901095.21172749686894.788272503138
8611541202.0000486102-48.0000486102042
879541196.27149274737-242.271492747371
888871167.35765160846-280.357651608461
898251133.89842572613-308.898425726126
909661097.03300706617-131.03300706617
919541081.39489996863-127.394899968627
927701066.19098200936-296.190982009361
9318381030.84213058867807.157869411332
9413711127.17221938915243.827780610848
955891156.27179538089-567.271795380894
961161088.57086041646-972.570860416456
971898972.499592453712925.500407546288
987121082.95324696474-370.953246964741
9911751038.6819085127136.318091487304
10012401054.95076291619185.049237083814
10113291077.03542580096251.964574199035
10215501107.10608573874442.893914261258
10312011159.9631682337641.036831766236
1049381164.86070042411-226.860700424109
10510301137.78605710417-107.786057104169
10610601124.92235243649-64.9223524364922
10710351117.17420772732-82.1742077273232
1086351107.36714392052-472.367143920517
10925651050.992584934331514.00741506567
1109101231.68148640565-321.681486405653
11113041193.29047601567110.709523984332
11213311206.50308123285124.496918767155
11316811221.36114022566459.638859774342
11419831276.21664477585706.783355224151
11510211360.5675579635-339.567557963502
11610611320.04193806681-259.04193806681
11712921289.126631603622.87336839637805
11812741289.46955315995-15.4695531599484
11910241287.62334254109-263.623342541091
1205681256.16126930951-688.161269309513
12125701174.032805109581395.96719489042
12211251340.63422094467-215.634220944667
12316001314.89939949373285.100600506275
12414921348.92467163023143.075328369772
12524921365.999967070351126.00003292965
12635231500.382207858722022.61779214128
1279901741.77110947286-751.771109472857
1288691652.05114206924-783.051142069239
12913101558.59806565203-248.598065652028
1309791528.92918097975-549.929180979748
13112441463.29799674018-219.297996740175
1324421437.12592272551-995.125922725515
13329561318.362825521591637.63717447841
13410551513.80629503212-458.806295032119
13520041459.0501527487544.949847251296
13614621524.08707943544-62.0870794354407
13711441516.67730979553-372.677309795531
13814541472.20021342192-18.2002134219167
13915381470.0281127194967.971887280514
14013881478.1402035332-90.1402035331998
14115471467.3824396063279.6175603936756
14215701476.8843808664693.1156191335424
14315351487.9972451520947.0027548479127
14413521493.60677919735-141.606779197353
14518881476.70674745415411.293252545855
1469991525.79245551975-526.792455519752
14711581462.92251898968-304.922518989675
14813421426.53160409596-84.5316040959574
14914431416.4431973076426.5568026923572
15015191419.612613426399.3873865737021
15112671431.47398049849-164.473980498486
15214541411.8448673507242.1551326492845
1539871416.8758629284-429.8758629284
15414301365.5724170742764.4275829257274
15512541373.26151361862-119.261513618623
1567341359.02827296926-625.028272969256







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1571284.43440314568274.2898653366562294.57894095471
1581284.43440314568267.1214652518982301.74734103947
1591284.43440314568260.0032244192862308.86558187208
1601284.43440314568252.9341044121222315.93470187924
1611284.43440314568245.9131021469522322.95570414441
1621284.43440314568238.9392482220612329.92955806931
1631284.43440314568232.0116053550612336.8572009363
1641284.43440314568225.1292669124492343.73953937892
1651284.43440314568218.2913555245952350.57745076677
1661284.43440314568211.4970217801842357.37178451118
1671284.43440314568204.7454429946012364.12336329677
1681284.43440314568198.0358220472012370.83298424417

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
157 & 1284.43440314568 & 274.289865336656 & 2294.57894095471 \tabularnewline
158 & 1284.43440314568 & 267.121465251898 & 2301.74734103947 \tabularnewline
159 & 1284.43440314568 & 260.003224419286 & 2308.86558187208 \tabularnewline
160 & 1284.43440314568 & 252.934104412122 & 2315.93470187924 \tabularnewline
161 & 1284.43440314568 & 245.913102146952 & 2322.95570414441 \tabularnewline
162 & 1284.43440314568 & 238.939248222061 & 2329.92955806931 \tabularnewline
163 & 1284.43440314568 & 232.011605355061 & 2336.8572009363 \tabularnewline
164 & 1284.43440314568 & 225.129266912449 & 2343.73953937892 \tabularnewline
165 & 1284.43440314568 & 218.291355524595 & 2350.57745076677 \tabularnewline
166 & 1284.43440314568 & 211.497021780184 & 2357.37178451118 \tabularnewline
167 & 1284.43440314568 & 204.745442994601 & 2364.12336329677 \tabularnewline
168 & 1284.43440314568 & 198.035822047201 & 2370.83298424417 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284520&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]157[/C][C]1284.43440314568[/C][C]274.289865336656[/C][C]2294.57894095471[/C][/ROW]
[ROW][C]158[/C][C]1284.43440314568[/C][C]267.121465251898[/C][C]2301.74734103947[/C][/ROW]
[ROW][C]159[/C][C]1284.43440314568[/C][C]260.003224419286[/C][C]2308.86558187208[/C][/ROW]
[ROW][C]160[/C][C]1284.43440314568[/C][C]252.934104412122[/C][C]2315.93470187924[/C][/ROW]
[ROW][C]161[/C][C]1284.43440314568[/C][C]245.913102146952[/C][C]2322.95570414441[/C][/ROW]
[ROW][C]162[/C][C]1284.43440314568[/C][C]238.939248222061[/C][C]2329.92955806931[/C][/ROW]
[ROW][C]163[/C][C]1284.43440314568[/C][C]232.011605355061[/C][C]2336.8572009363[/C][/ROW]
[ROW][C]164[/C][C]1284.43440314568[/C][C]225.129266912449[/C][C]2343.73953937892[/C][/ROW]
[ROW][C]165[/C][C]1284.43440314568[/C][C]218.291355524595[/C][C]2350.57745076677[/C][/ROW]
[ROW][C]166[/C][C]1284.43440314568[/C][C]211.497021780184[/C][C]2357.37178451118[/C][/ROW]
[ROW][C]167[/C][C]1284.43440314568[/C][C]204.745442994601[/C][C]2364.12336329677[/C][/ROW]
[ROW][C]168[/C][C]1284.43440314568[/C][C]198.035822047201[/C][C]2370.83298424417[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284520&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284520&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
1571284.43440314568274.2898653366562294.57894095471
1581284.43440314568267.1214652518982301.74734103947
1591284.43440314568260.0032244192862308.86558187208
1601284.43440314568252.9341044121222315.93470187924
1611284.43440314568245.9131021469522322.95570414441
1621284.43440314568238.9392482220612329.92955806931
1631284.43440314568232.0116053550612336.8572009363
1641284.43440314568225.1292669124492343.73953937892
1651284.43440314568218.2913555245952350.57745076677
1661284.43440314568211.4970217801842357.37178451118
1671284.43440314568204.7454429946012364.12336329677
1681284.43440314568198.0358220472012370.83298424417



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')