Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 23 May 2008 09:03:26 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/23/t1211555070baie2hjit7tdlku.htm/, Retrieved Tue, 14 May 2024 17:32:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13050, Retrieved Tue, 14 May 2024 17:32:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact228
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opdracht 10 - Oef...] [2008-05-23 15:03:26] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
464
675
703
887
1139
1077
1318
1260
1120
963
996
960
530
883
894
1045
1199
1287
1565
1577
1076
918
1008
1063
544
635
804
980
1018
1064
1404
1286
1104
999
996
1015
615
722
832
977
1270
1437
1520
1708
1151
934
1159
1209
699
830
996
1124
1458
1270
1753
2258
1208
1241
1265
1828
809
997
1164
1205
1538
1513
1378
2083
1357
1536
1526
1376
779
1005
1193
1522
1539
1546
2116
2326
1596
1356
1553
1613
814
1150
1225
1691
1759
1754
2100
2062
2012
1897
1964
2186
966
1549
1538
1612
2078
2137
2907
2249
1883
1739
1828
1868
1138
1430
1809
1763
2200
2067
2503
2141
2103
1972
2181
2344
970
1199
1718
1683
2025
2051
2439
2353
2230
1852
2147
2286
1007
1665
1642
1518
1831
2207
2822
2393
2306
1785
2047
2171
1212
1335
2011
1860
1954
2152
2835
2224
2182
1992
2389
2724
891
1247
2017
2257
2255
2255
3057
3330
1896
2096
2374
2535
1041
1728
2201
2455
2204
2660
3670
2665
2639
2226
2586
2684
1185
1749
2459
2618
2585
3310
3923




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 6 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13050&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13050&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13050&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 time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.138188790941126
beta0.0173529526220280
gamma0.352954520634182

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.138188790941126 \tabularnewline
beta & 0.0173529526220280 \tabularnewline
gamma & 0.352954520634182 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13050&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]0.138188790941126[/C][/ROW]
[ROW][C]beta[/C][C]0.0173529526220280[/C][/ROW]
[ROW][C]gamma[/C][C]0.352954520634182[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13050&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13050&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
alpha0.138188790941126
beta0.0173529526220280
gamma0.352954520634182







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13530515.41444062289714.5855593771033
14883842.90091669694140.0990833030589
15894849.83169597267844.1683040273223
1610451003.8819591418341.1180408581650
1711991159.8620904223439.1379095776585
1812871245.4057987452541.5942012547489
1915651514.8890018472250.1109981527823
2015771547.7779673909429.2220326090567
2110761073.175768685112.82423131488827
22918921.817194474754-3.81719447475382
2310081021.83640049345-13.8364004934452
2410631093.45753715863-30.4575371586332
25544538.4983176462415.50168235375861
26635883.992724365653-248.992724365653
27804851.857147113964-47.8571471139639
28980987.59009966451-7.59009966451094
2910181130.24715952532-112.247159525323
3010641190.1075296698-126.107529669800
3114041417.85280514777-13.8528051477679
3212861431.92714643595-145.92714643595
331104969.842429086618134.157570913382
34999845.741333206727153.258666793273
35996957.87196717625438.1280328237459
3610151027.20670939209-12.2067093920882
37615512.53138942575102.46861057425
38722783.740616251253-61.7406162512533
39832838.814780352263-6.81478035226257
40977994.104798817453-17.1047988174529
4112701104.29767508664165.702324913364
4214371201.89594875293235.104051247072
4315201540.82757247366-20.8275724736561
4417081513.34948377193194.650516228073
4511511140.0385393492510.9614606507496
46934990.346571583594-56.3465715835944
4711591043.96730162844115.032698371563
4812091114.4460185568194.5539814431922
49699600.00137200935498.9986279906462
50830842.553030410869-12.5530304108687
51996931.64538905808564.3546109419151
5211241114.861986004489.13801399552221
5314581307.69773088421150.302269115788
5412701436.98934543368-166.989345433682
5517531663.1807865427389.8192134572671
5622581721.34750618056536.652493819438
5712081285.52525758474-77.5252575847376
5812411085.02930910613155.970690893874
5912651238.3896460571226.6103539428761
6018281298.64872216196529.35127783804
61809748.42591746902560.5740825309753
62997987.915629816219.08437018378993
6311641126.2334165980337.7665834019715
6412051319.64954701957-114.649547019575
6515381578.99607270820-40.996072708195
6615131588.41846016296-75.4184601629597
6713781959.87732467204-581.877324672038
6820832074.328004242288.6719957577152
6913571337.2690226107919.7309773892086
7015361212.28145653055323.718543469453
7115261358.52293692570167.477063074303
7213761605.00054003904-229.000540039041
73779786.704150391548-7.70415039154796
7410051003.535881793461.46411820654123
7511931150.6741581131142.3258418868861
7615221299.02917640314222.970823596856
7715391641.75527564294-102.755275642938
7815461632.17732282556-86.1773228255631
7921161849.7002749325266.299725067501
8023262303.4321197333922.5678802666107
8115961492.1581417881103.841858211899
8213561464.53209893504-108.532098935041
8315531506.7714958091346.228504190874
8416131620.35062075642-7.3506207564185
85814844.989947423514-30.9899474235139
8611501077.9099565550472.090043444965
8712251261.00424991122-36.0042499112217
8816911466.87921964820224.120780351797
8917591726.1090511527532.8909488472527
9017541741.6587426445412.3412573554633
9121002110.94886589595-10.9488658959508
9220622477.55816342208-415.55816342208
9320121593.56220187514418.437798124862
9418971536.99236609413360.007633905866
9519641704.92823507691259.071764923093
9621861846.2276936445339.772306355501
97966979.48087993079-13.4808799307898
9815491295.00860664629253.991393353711
9915381500.5166950419137.4833049580895
10016121857.75200730189-245.752007301893
10120782024.1390438359353.8609561640656
10221372039.4347038086797.5652961913308
10329072479.46702292777427.532977072227
10422492834.49200953365-585.492009533651
10518832063.45276691845-180.452766918448
10617391884.57385781799-145.573857817994
10718281959.24821911067-131.248219110666
10818682076.73532015479-208.735320154794
1091138999.77958578803138.22041421197
11014301433.49724354292-3.49724354292471
11118091538.29530880992270.704691190080
11217631849.57217747235-86.5721774723452
11322002143.1170709924656.8829290075419
11420672172.30985888696-105.309858886960
11525032699.27317331618-196.273173316180
11621412652.32820928588-511.328209285884
11721032010.9299437257892.0700562742206
11819721875.7427232738196.2572767261868
11921811990.75869314381190.241306856194
12023442134.76078172848209.239218271524
1219701135.37809966138-165.378099661379
12211991501.71162455123-302.711624551229
12317181649.208556858968.7914431410995
12416831822.23219311813-139.232193118133
12520252148.50714589241-123.507145892408
12620512101.45775991581-50.4577599158069
12724392597.53863841864-158.538638418635
12823532454.95815170453-101.958151704525
12922302049.68111829082180.318881709178
13018521924.91609796578-72.9160979657772
13121472042.54671457936104.453285420636
13222862176.70038756706109.299612432936
13310071065.76441805878-58.7644180587797
13416651399.86768449305265.132315506950
13516421753.86990491781-111.869904917812
13615181841.29283465705-323.292834657047
13718312152.87654567507-321.876545675072
13822072099.26981765408107.730182345915
13928222590.67641554791231.323584452090
14023932514.71789350983-121.717893509827
14123062180.37736497262125.622635027382
14217851963.20155076723-178.201550767232
14320472123.72126457589-76.7212645758927
14421712234.38742977834-63.3874297783386
14512121047.34686346252164.653136537481
14613351521.24424765127-186.244247651267
14720111693.60188388355317.39811611645
14818601773.6975944832086.3024055167957
14919542158.71790165912-204.717901659125
15021522259.47994712112-107.479947121125
15128352781.2986858768153.7013141231869
15222242565.19655021878-341.196550218777
15321822269.16895953021-87.1689595302146
15419921925.4570188933166.5429811066938
15523892155.82426469756233.175735302438
15627242319.33331671591404.666683284094
1578911180.84303141773-289.843031417725
15812471490.02323328043-243.023233280426
15920171808.76868858983208.231311410165
16022571802.22079463206454.779205367938
16122552156.7921550473998.2078449526139
16222552336.8751785537-81.8751785537015
16330572941.71486638894115.285133611055
16433302593.72160894797736.278391052027
16518962506.1698416447-610.169841644698
16620962113.62988175086-17.6298817508573
16723742404.83255512033-30.8325551203279
16825352593.07494193432-58.0749419343183
16910411127.23701253264-86.237012532636
17017281498.94107698729229.058923012706
17122012073.26056298899127.739437011011
17224552130.9507934861324.049206513899
17322042375.75501482807-171.755014828069
17426602472.00954440677187.990455593228
17536703233.47028240361436.529717596392
17626653093.8830706459-428.883070645898
17726392405.05907050405233.940929495951
17822262299.06592121852-73.0659212185169
17925862604.97460965133-18.9746096513300
18026842804.10579678828-120.105796788276
18111851195.61768993792-10.6176899379157
18217491719.3298081740929.6701918259105
18324592274.99162656601184.008373433991
18426182406.76323322972211.236766770282
18525852488.5995388436296.4004611563769
18633102751.98684954933558.013150450666
18739233726.79165528676196.208344713244

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 530 & 515.414440622897 & 14.5855593771033 \tabularnewline
14 & 883 & 842.900916696941 & 40.0990833030589 \tabularnewline
15 & 894 & 849.831695972678 & 44.1683040273223 \tabularnewline
16 & 1045 & 1003.88195914183 & 41.1180408581650 \tabularnewline
17 & 1199 & 1159.86209042234 & 39.1379095776585 \tabularnewline
18 & 1287 & 1245.40579874525 & 41.5942012547489 \tabularnewline
19 & 1565 & 1514.88900184722 & 50.1109981527823 \tabularnewline
20 & 1577 & 1547.77796739094 & 29.2220326090567 \tabularnewline
21 & 1076 & 1073.17576868511 & 2.82423131488827 \tabularnewline
22 & 918 & 921.817194474754 & -3.81719447475382 \tabularnewline
23 & 1008 & 1021.83640049345 & -13.8364004934452 \tabularnewline
24 & 1063 & 1093.45753715863 & -30.4575371586332 \tabularnewline
25 & 544 & 538.498317646241 & 5.50168235375861 \tabularnewline
26 & 635 & 883.992724365653 & -248.992724365653 \tabularnewline
27 & 804 & 851.857147113964 & -47.8571471139639 \tabularnewline
28 & 980 & 987.59009966451 & -7.59009966451094 \tabularnewline
29 & 1018 & 1130.24715952532 & -112.247159525323 \tabularnewline
30 & 1064 & 1190.1075296698 & -126.107529669800 \tabularnewline
31 & 1404 & 1417.85280514777 & -13.8528051477679 \tabularnewline
32 & 1286 & 1431.92714643595 & -145.92714643595 \tabularnewline
33 & 1104 & 969.842429086618 & 134.157570913382 \tabularnewline
34 & 999 & 845.741333206727 & 153.258666793273 \tabularnewline
35 & 996 & 957.871967176254 & 38.1280328237459 \tabularnewline
36 & 1015 & 1027.20670939209 & -12.2067093920882 \tabularnewline
37 & 615 & 512.53138942575 & 102.46861057425 \tabularnewline
38 & 722 & 783.740616251253 & -61.7406162512533 \tabularnewline
39 & 832 & 838.814780352263 & -6.81478035226257 \tabularnewline
40 & 977 & 994.104798817453 & -17.1047988174529 \tabularnewline
41 & 1270 & 1104.29767508664 & 165.702324913364 \tabularnewline
42 & 1437 & 1201.89594875293 & 235.104051247072 \tabularnewline
43 & 1520 & 1540.82757247366 & -20.8275724736561 \tabularnewline
44 & 1708 & 1513.34948377193 & 194.650516228073 \tabularnewline
45 & 1151 & 1140.03853934925 & 10.9614606507496 \tabularnewline
46 & 934 & 990.346571583594 & -56.3465715835944 \tabularnewline
47 & 1159 & 1043.96730162844 & 115.032698371563 \tabularnewline
48 & 1209 & 1114.44601855681 & 94.5539814431922 \tabularnewline
49 & 699 & 600.001372009354 & 98.9986279906462 \tabularnewline
50 & 830 & 842.553030410869 & -12.5530304108687 \tabularnewline
51 & 996 & 931.645389058085 & 64.3546109419151 \tabularnewline
52 & 1124 & 1114.86198600448 & 9.13801399552221 \tabularnewline
53 & 1458 & 1307.69773088421 & 150.302269115788 \tabularnewline
54 & 1270 & 1436.98934543368 & -166.989345433682 \tabularnewline
55 & 1753 & 1663.18078654273 & 89.8192134572671 \tabularnewline
56 & 2258 & 1721.34750618056 & 536.652493819438 \tabularnewline
57 & 1208 & 1285.52525758474 & -77.5252575847376 \tabularnewline
58 & 1241 & 1085.02930910613 & 155.970690893874 \tabularnewline
59 & 1265 & 1238.38964605712 & 26.6103539428761 \tabularnewline
60 & 1828 & 1298.64872216196 & 529.35127783804 \tabularnewline
61 & 809 & 748.425917469025 & 60.5740825309753 \tabularnewline
62 & 997 & 987.91562981621 & 9.08437018378993 \tabularnewline
63 & 1164 & 1126.23341659803 & 37.7665834019715 \tabularnewline
64 & 1205 & 1319.64954701957 & -114.649547019575 \tabularnewline
65 & 1538 & 1578.99607270820 & -40.996072708195 \tabularnewline
66 & 1513 & 1588.41846016296 & -75.4184601629597 \tabularnewline
67 & 1378 & 1959.87732467204 & -581.877324672038 \tabularnewline
68 & 2083 & 2074.32800424228 & 8.6719957577152 \tabularnewline
69 & 1357 & 1337.26902261079 & 19.7309773892086 \tabularnewline
70 & 1536 & 1212.28145653055 & 323.718543469453 \tabularnewline
71 & 1526 & 1358.52293692570 & 167.477063074303 \tabularnewline
72 & 1376 & 1605.00054003904 & -229.000540039041 \tabularnewline
73 & 779 & 786.704150391548 & -7.70415039154796 \tabularnewline
74 & 1005 & 1003.53588179346 & 1.46411820654123 \tabularnewline
75 & 1193 & 1150.67415811311 & 42.3258418868861 \tabularnewline
76 & 1522 & 1299.02917640314 & 222.970823596856 \tabularnewline
77 & 1539 & 1641.75527564294 & -102.755275642938 \tabularnewline
78 & 1546 & 1632.17732282556 & -86.1773228255631 \tabularnewline
79 & 2116 & 1849.7002749325 & 266.299725067501 \tabularnewline
80 & 2326 & 2303.43211973339 & 22.5678802666107 \tabularnewline
81 & 1596 & 1492.1581417881 & 103.841858211899 \tabularnewline
82 & 1356 & 1464.53209893504 & -108.532098935041 \tabularnewline
83 & 1553 & 1506.77149580913 & 46.228504190874 \tabularnewline
84 & 1613 & 1620.35062075642 & -7.3506207564185 \tabularnewline
85 & 814 & 844.989947423514 & -30.9899474235139 \tabularnewline
86 & 1150 & 1077.90995655504 & 72.090043444965 \tabularnewline
87 & 1225 & 1261.00424991122 & -36.0042499112217 \tabularnewline
88 & 1691 & 1466.87921964820 & 224.120780351797 \tabularnewline
89 & 1759 & 1726.10905115275 & 32.8909488472527 \tabularnewline
90 & 1754 & 1741.65874264454 & 12.3412573554633 \tabularnewline
91 & 2100 & 2110.94886589595 & -10.9488658959508 \tabularnewline
92 & 2062 & 2477.55816342208 & -415.55816342208 \tabularnewline
93 & 2012 & 1593.56220187514 & 418.437798124862 \tabularnewline
94 & 1897 & 1536.99236609413 & 360.007633905866 \tabularnewline
95 & 1964 & 1704.92823507691 & 259.071764923093 \tabularnewline
96 & 2186 & 1846.2276936445 & 339.772306355501 \tabularnewline
97 & 966 & 979.48087993079 & -13.4808799307898 \tabularnewline
98 & 1549 & 1295.00860664629 & 253.991393353711 \tabularnewline
99 & 1538 & 1500.51669504191 & 37.4833049580895 \tabularnewline
100 & 1612 & 1857.75200730189 & -245.752007301893 \tabularnewline
101 & 2078 & 2024.13904383593 & 53.8609561640656 \tabularnewline
102 & 2137 & 2039.43470380867 & 97.5652961913308 \tabularnewline
103 & 2907 & 2479.46702292777 & 427.532977072227 \tabularnewline
104 & 2249 & 2834.49200953365 & -585.492009533651 \tabularnewline
105 & 1883 & 2063.45276691845 & -180.452766918448 \tabularnewline
106 & 1739 & 1884.57385781799 & -145.573857817994 \tabularnewline
107 & 1828 & 1959.24821911067 & -131.248219110666 \tabularnewline
108 & 1868 & 2076.73532015479 & -208.735320154794 \tabularnewline
109 & 1138 & 999.77958578803 & 138.22041421197 \tabularnewline
110 & 1430 & 1433.49724354292 & -3.49724354292471 \tabularnewline
111 & 1809 & 1538.29530880992 & 270.704691190080 \tabularnewline
112 & 1763 & 1849.57217747235 & -86.5721774723452 \tabularnewline
113 & 2200 & 2143.11707099246 & 56.8829290075419 \tabularnewline
114 & 2067 & 2172.30985888696 & -105.309858886960 \tabularnewline
115 & 2503 & 2699.27317331618 & -196.273173316180 \tabularnewline
116 & 2141 & 2652.32820928588 & -511.328209285884 \tabularnewline
117 & 2103 & 2010.92994372578 & 92.0700562742206 \tabularnewline
118 & 1972 & 1875.74272327381 & 96.2572767261868 \tabularnewline
119 & 2181 & 1990.75869314381 & 190.241306856194 \tabularnewline
120 & 2344 & 2134.76078172848 & 209.239218271524 \tabularnewline
121 & 970 & 1135.37809966138 & -165.378099661379 \tabularnewline
122 & 1199 & 1501.71162455123 & -302.711624551229 \tabularnewline
123 & 1718 & 1649.2085568589 & 68.7914431410995 \tabularnewline
124 & 1683 & 1822.23219311813 & -139.232193118133 \tabularnewline
125 & 2025 & 2148.50714589241 & -123.507145892408 \tabularnewline
126 & 2051 & 2101.45775991581 & -50.4577599158069 \tabularnewline
127 & 2439 & 2597.53863841864 & -158.538638418635 \tabularnewline
128 & 2353 & 2454.95815170453 & -101.958151704525 \tabularnewline
129 & 2230 & 2049.68111829082 & 180.318881709178 \tabularnewline
130 & 1852 & 1924.91609796578 & -72.9160979657772 \tabularnewline
131 & 2147 & 2042.54671457936 & 104.453285420636 \tabularnewline
132 & 2286 & 2176.70038756706 & 109.299612432936 \tabularnewline
133 & 1007 & 1065.76441805878 & -58.7644180587797 \tabularnewline
134 & 1665 & 1399.86768449305 & 265.132315506950 \tabularnewline
135 & 1642 & 1753.86990491781 & -111.869904917812 \tabularnewline
136 & 1518 & 1841.29283465705 & -323.292834657047 \tabularnewline
137 & 1831 & 2152.87654567507 & -321.876545675072 \tabularnewline
138 & 2207 & 2099.26981765408 & 107.730182345915 \tabularnewline
139 & 2822 & 2590.67641554791 & 231.323584452090 \tabularnewline
140 & 2393 & 2514.71789350983 & -121.717893509827 \tabularnewline
141 & 2306 & 2180.37736497262 & 125.622635027382 \tabularnewline
142 & 1785 & 1963.20155076723 & -178.201550767232 \tabularnewline
143 & 2047 & 2123.72126457589 & -76.7212645758927 \tabularnewline
144 & 2171 & 2234.38742977834 & -63.3874297783386 \tabularnewline
145 & 1212 & 1047.34686346252 & 164.653136537481 \tabularnewline
146 & 1335 & 1521.24424765127 & -186.244247651267 \tabularnewline
147 & 2011 & 1693.60188388355 & 317.39811611645 \tabularnewline
148 & 1860 & 1773.69759448320 & 86.3024055167957 \tabularnewline
149 & 1954 & 2158.71790165912 & -204.717901659125 \tabularnewline
150 & 2152 & 2259.47994712112 & -107.479947121125 \tabularnewline
151 & 2835 & 2781.29868587681 & 53.7013141231869 \tabularnewline
152 & 2224 & 2565.19655021878 & -341.196550218777 \tabularnewline
153 & 2182 & 2269.16895953021 & -87.1689595302146 \tabularnewline
154 & 1992 & 1925.45701889331 & 66.5429811066938 \tabularnewline
155 & 2389 & 2155.82426469756 & 233.175735302438 \tabularnewline
156 & 2724 & 2319.33331671591 & 404.666683284094 \tabularnewline
157 & 891 & 1180.84303141773 & -289.843031417725 \tabularnewline
158 & 1247 & 1490.02323328043 & -243.023233280426 \tabularnewline
159 & 2017 & 1808.76868858983 & 208.231311410165 \tabularnewline
160 & 2257 & 1802.22079463206 & 454.779205367938 \tabularnewline
161 & 2255 & 2156.79215504739 & 98.2078449526139 \tabularnewline
162 & 2255 & 2336.8751785537 & -81.8751785537015 \tabularnewline
163 & 3057 & 2941.71486638894 & 115.285133611055 \tabularnewline
164 & 3330 & 2593.72160894797 & 736.278391052027 \tabularnewline
165 & 1896 & 2506.1698416447 & -610.169841644698 \tabularnewline
166 & 2096 & 2113.62988175086 & -17.6298817508573 \tabularnewline
167 & 2374 & 2404.83255512033 & -30.8325551203279 \tabularnewline
168 & 2535 & 2593.07494193432 & -58.0749419343183 \tabularnewline
169 & 1041 & 1127.23701253264 & -86.237012532636 \tabularnewline
170 & 1728 & 1498.94107698729 & 229.058923012706 \tabularnewline
171 & 2201 & 2073.26056298899 & 127.739437011011 \tabularnewline
172 & 2455 & 2130.9507934861 & 324.049206513899 \tabularnewline
173 & 2204 & 2375.75501482807 & -171.755014828069 \tabularnewline
174 & 2660 & 2472.00954440677 & 187.990455593228 \tabularnewline
175 & 3670 & 3233.47028240361 & 436.529717596392 \tabularnewline
176 & 2665 & 3093.8830706459 & -428.883070645898 \tabularnewline
177 & 2639 & 2405.05907050405 & 233.940929495951 \tabularnewline
178 & 2226 & 2299.06592121852 & -73.0659212185169 \tabularnewline
179 & 2586 & 2604.97460965133 & -18.9746096513300 \tabularnewline
180 & 2684 & 2804.10579678828 & -120.105796788276 \tabularnewline
181 & 1185 & 1195.61768993792 & -10.6176899379157 \tabularnewline
182 & 1749 & 1719.32980817409 & 29.6701918259105 \tabularnewline
183 & 2459 & 2274.99162656601 & 184.008373433991 \tabularnewline
184 & 2618 & 2406.76323322972 & 211.236766770282 \tabularnewline
185 & 2585 & 2488.59953884362 & 96.4004611563769 \tabularnewline
186 & 3310 & 2751.98684954933 & 558.013150450666 \tabularnewline
187 & 3923 & 3726.79165528676 & 196.208344713244 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13050&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]530[/C][C]515.414440622897[/C][C]14.5855593771033[/C][/ROW]
[ROW][C]14[/C][C]883[/C][C]842.900916696941[/C][C]40.0990833030589[/C][/ROW]
[ROW][C]15[/C][C]894[/C][C]849.831695972678[/C][C]44.1683040273223[/C][/ROW]
[ROW][C]16[/C][C]1045[/C][C]1003.88195914183[/C][C]41.1180408581650[/C][/ROW]
[ROW][C]17[/C][C]1199[/C][C]1159.86209042234[/C][C]39.1379095776585[/C][/ROW]
[ROW][C]18[/C][C]1287[/C][C]1245.40579874525[/C][C]41.5942012547489[/C][/ROW]
[ROW][C]19[/C][C]1565[/C][C]1514.88900184722[/C][C]50.1109981527823[/C][/ROW]
[ROW][C]20[/C][C]1577[/C][C]1547.77796739094[/C][C]29.2220326090567[/C][/ROW]
[ROW][C]21[/C][C]1076[/C][C]1073.17576868511[/C][C]2.82423131488827[/C][/ROW]
[ROW][C]22[/C][C]918[/C][C]921.817194474754[/C][C]-3.81719447475382[/C][/ROW]
[ROW][C]23[/C][C]1008[/C][C]1021.83640049345[/C][C]-13.8364004934452[/C][/ROW]
[ROW][C]24[/C][C]1063[/C][C]1093.45753715863[/C][C]-30.4575371586332[/C][/ROW]
[ROW][C]25[/C][C]544[/C][C]538.498317646241[/C][C]5.50168235375861[/C][/ROW]
[ROW][C]26[/C][C]635[/C][C]883.992724365653[/C][C]-248.992724365653[/C][/ROW]
[ROW][C]27[/C][C]804[/C][C]851.857147113964[/C][C]-47.8571471139639[/C][/ROW]
[ROW][C]28[/C][C]980[/C][C]987.59009966451[/C][C]-7.59009966451094[/C][/ROW]
[ROW][C]29[/C][C]1018[/C][C]1130.24715952532[/C][C]-112.247159525323[/C][/ROW]
[ROW][C]30[/C][C]1064[/C][C]1190.1075296698[/C][C]-126.107529669800[/C][/ROW]
[ROW][C]31[/C][C]1404[/C][C]1417.85280514777[/C][C]-13.8528051477679[/C][/ROW]
[ROW][C]32[/C][C]1286[/C][C]1431.92714643595[/C][C]-145.92714643595[/C][/ROW]
[ROW][C]33[/C][C]1104[/C][C]969.842429086618[/C][C]134.157570913382[/C][/ROW]
[ROW][C]34[/C][C]999[/C][C]845.741333206727[/C][C]153.258666793273[/C][/ROW]
[ROW][C]35[/C][C]996[/C][C]957.871967176254[/C][C]38.1280328237459[/C][/ROW]
[ROW][C]36[/C][C]1015[/C][C]1027.20670939209[/C][C]-12.2067093920882[/C][/ROW]
[ROW][C]37[/C][C]615[/C][C]512.53138942575[/C][C]102.46861057425[/C][/ROW]
[ROW][C]38[/C][C]722[/C][C]783.740616251253[/C][C]-61.7406162512533[/C][/ROW]
[ROW][C]39[/C][C]832[/C][C]838.814780352263[/C][C]-6.81478035226257[/C][/ROW]
[ROW][C]40[/C][C]977[/C][C]994.104798817453[/C][C]-17.1047988174529[/C][/ROW]
[ROW][C]41[/C][C]1270[/C][C]1104.29767508664[/C][C]165.702324913364[/C][/ROW]
[ROW][C]42[/C][C]1437[/C][C]1201.89594875293[/C][C]235.104051247072[/C][/ROW]
[ROW][C]43[/C][C]1520[/C][C]1540.82757247366[/C][C]-20.8275724736561[/C][/ROW]
[ROW][C]44[/C][C]1708[/C][C]1513.34948377193[/C][C]194.650516228073[/C][/ROW]
[ROW][C]45[/C][C]1151[/C][C]1140.03853934925[/C][C]10.9614606507496[/C][/ROW]
[ROW][C]46[/C][C]934[/C][C]990.346571583594[/C][C]-56.3465715835944[/C][/ROW]
[ROW][C]47[/C][C]1159[/C][C]1043.96730162844[/C][C]115.032698371563[/C][/ROW]
[ROW][C]48[/C][C]1209[/C][C]1114.44601855681[/C][C]94.5539814431922[/C][/ROW]
[ROW][C]49[/C][C]699[/C][C]600.001372009354[/C][C]98.9986279906462[/C][/ROW]
[ROW][C]50[/C][C]830[/C][C]842.553030410869[/C][C]-12.5530304108687[/C][/ROW]
[ROW][C]51[/C][C]996[/C][C]931.645389058085[/C][C]64.3546109419151[/C][/ROW]
[ROW][C]52[/C][C]1124[/C][C]1114.86198600448[/C][C]9.13801399552221[/C][/ROW]
[ROW][C]53[/C][C]1458[/C][C]1307.69773088421[/C][C]150.302269115788[/C][/ROW]
[ROW][C]54[/C][C]1270[/C][C]1436.98934543368[/C][C]-166.989345433682[/C][/ROW]
[ROW][C]55[/C][C]1753[/C][C]1663.18078654273[/C][C]89.8192134572671[/C][/ROW]
[ROW][C]56[/C][C]2258[/C][C]1721.34750618056[/C][C]536.652493819438[/C][/ROW]
[ROW][C]57[/C][C]1208[/C][C]1285.52525758474[/C][C]-77.5252575847376[/C][/ROW]
[ROW][C]58[/C][C]1241[/C][C]1085.02930910613[/C][C]155.970690893874[/C][/ROW]
[ROW][C]59[/C][C]1265[/C][C]1238.38964605712[/C][C]26.6103539428761[/C][/ROW]
[ROW][C]60[/C][C]1828[/C][C]1298.64872216196[/C][C]529.35127783804[/C][/ROW]
[ROW][C]61[/C][C]809[/C][C]748.425917469025[/C][C]60.5740825309753[/C][/ROW]
[ROW][C]62[/C][C]997[/C][C]987.91562981621[/C][C]9.08437018378993[/C][/ROW]
[ROW][C]63[/C][C]1164[/C][C]1126.23341659803[/C][C]37.7665834019715[/C][/ROW]
[ROW][C]64[/C][C]1205[/C][C]1319.64954701957[/C][C]-114.649547019575[/C][/ROW]
[ROW][C]65[/C][C]1538[/C][C]1578.99607270820[/C][C]-40.996072708195[/C][/ROW]
[ROW][C]66[/C][C]1513[/C][C]1588.41846016296[/C][C]-75.4184601629597[/C][/ROW]
[ROW][C]67[/C][C]1378[/C][C]1959.87732467204[/C][C]-581.877324672038[/C][/ROW]
[ROW][C]68[/C][C]2083[/C][C]2074.32800424228[/C][C]8.6719957577152[/C][/ROW]
[ROW][C]69[/C][C]1357[/C][C]1337.26902261079[/C][C]19.7309773892086[/C][/ROW]
[ROW][C]70[/C][C]1536[/C][C]1212.28145653055[/C][C]323.718543469453[/C][/ROW]
[ROW][C]71[/C][C]1526[/C][C]1358.52293692570[/C][C]167.477063074303[/C][/ROW]
[ROW][C]72[/C][C]1376[/C][C]1605.00054003904[/C][C]-229.000540039041[/C][/ROW]
[ROW][C]73[/C][C]779[/C][C]786.704150391548[/C][C]-7.70415039154796[/C][/ROW]
[ROW][C]74[/C][C]1005[/C][C]1003.53588179346[/C][C]1.46411820654123[/C][/ROW]
[ROW][C]75[/C][C]1193[/C][C]1150.67415811311[/C][C]42.3258418868861[/C][/ROW]
[ROW][C]76[/C][C]1522[/C][C]1299.02917640314[/C][C]222.970823596856[/C][/ROW]
[ROW][C]77[/C][C]1539[/C][C]1641.75527564294[/C][C]-102.755275642938[/C][/ROW]
[ROW][C]78[/C][C]1546[/C][C]1632.17732282556[/C][C]-86.1773228255631[/C][/ROW]
[ROW][C]79[/C][C]2116[/C][C]1849.7002749325[/C][C]266.299725067501[/C][/ROW]
[ROW][C]80[/C][C]2326[/C][C]2303.43211973339[/C][C]22.5678802666107[/C][/ROW]
[ROW][C]81[/C][C]1596[/C][C]1492.1581417881[/C][C]103.841858211899[/C][/ROW]
[ROW][C]82[/C][C]1356[/C][C]1464.53209893504[/C][C]-108.532098935041[/C][/ROW]
[ROW][C]83[/C][C]1553[/C][C]1506.77149580913[/C][C]46.228504190874[/C][/ROW]
[ROW][C]84[/C][C]1613[/C][C]1620.35062075642[/C][C]-7.3506207564185[/C][/ROW]
[ROW][C]85[/C][C]814[/C][C]844.989947423514[/C][C]-30.9899474235139[/C][/ROW]
[ROW][C]86[/C][C]1150[/C][C]1077.90995655504[/C][C]72.090043444965[/C][/ROW]
[ROW][C]87[/C][C]1225[/C][C]1261.00424991122[/C][C]-36.0042499112217[/C][/ROW]
[ROW][C]88[/C][C]1691[/C][C]1466.87921964820[/C][C]224.120780351797[/C][/ROW]
[ROW][C]89[/C][C]1759[/C][C]1726.10905115275[/C][C]32.8909488472527[/C][/ROW]
[ROW][C]90[/C][C]1754[/C][C]1741.65874264454[/C][C]12.3412573554633[/C][/ROW]
[ROW][C]91[/C][C]2100[/C][C]2110.94886589595[/C][C]-10.9488658959508[/C][/ROW]
[ROW][C]92[/C][C]2062[/C][C]2477.55816342208[/C][C]-415.55816342208[/C][/ROW]
[ROW][C]93[/C][C]2012[/C][C]1593.56220187514[/C][C]418.437798124862[/C][/ROW]
[ROW][C]94[/C][C]1897[/C][C]1536.99236609413[/C][C]360.007633905866[/C][/ROW]
[ROW][C]95[/C][C]1964[/C][C]1704.92823507691[/C][C]259.071764923093[/C][/ROW]
[ROW][C]96[/C][C]2186[/C][C]1846.2276936445[/C][C]339.772306355501[/C][/ROW]
[ROW][C]97[/C][C]966[/C][C]979.48087993079[/C][C]-13.4808799307898[/C][/ROW]
[ROW][C]98[/C][C]1549[/C][C]1295.00860664629[/C][C]253.991393353711[/C][/ROW]
[ROW][C]99[/C][C]1538[/C][C]1500.51669504191[/C][C]37.4833049580895[/C][/ROW]
[ROW][C]100[/C][C]1612[/C][C]1857.75200730189[/C][C]-245.752007301893[/C][/ROW]
[ROW][C]101[/C][C]2078[/C][C]2024.13904383593[/C][C]53.8609561640656[/C][/ROW]
[ROW][C]102[/C][C]2137[/C][C]2039.43470380867[/C][C]97.5652961913308[/C][/ROW]
[ROW][C]103[/C][C]2907[/C][C]2479.46702292777[/C][C]427.532977072227[/C][/ROW]
[ROW][C]104[/C][C]2249[/C][C]2834.49200953365[/C][C]-585.492009533651[/C][/ROW]
[ROW][C]105[/C][C]1883[/C][C]2063.45276691845[/C][C]-180.452766918448[/C][/ROW]
[ROW][C]106[/C][C]1739[/C][C]1884.57385781799[/C][C]-145.573857817994[/C][/ROW]
[ROW][C]107[/C][C]1828[/C][C]1959.24821911067[/C][C]-131.248219110666[/C][/ROW]
[ROW][C]108[/C][C]1868[/C][C]2076.73532015479[/C][C]-208.735320154794[/C][/ROW]
[ROW][C]109[/C][C]1138[/C][C]999.77958578803[/C][C]138.22041421197[/C][/ROW]
[ROW][C]110[/C][C]1430[/C][C]1433.49724354292[/C][C]-3.49724354292471[/C][/ROW]
[ROW][C]111[/C][C]1809[/C][C]1538.29530880992[/C][C]270.704691190080[/C][/ROW]
[ROW][C]112[/C][C]1763[/C][C]1849.57217747235[/C][C]-86.5721774723452[/C][/ROW]
[ROW][C]113[/C][C]2200[/C][C]2143.11707099246[/C][C]56.8829290075419[/C][/ROW]
[ROW][C]114[/C][C]2067[/C][C]2172.30985888696[/C][C]-105.309858886960[/C][/ROW]
[ROW][C]115[/C][C]2503[/C][C]2699.27317331618[/C][C]-196.273173316180[/C][/ROW]
[ROW][C]116[/C][C]2141[/C][C]2652.32820928588[/C][C]-511.328209285884[/C][/ROW]
[ROW][C]117[/C][C]2103[/C][C]2010.92994372578[/C][C]92.0700562742206[/C][/ROW]
[ROW][C]118[/C][C]1972[/C][C]1875.74272327381[/C][C]96.2572767261868[/C][/ROW]
[ROW][C]119[/C][C]2181[/C][C]1990.75869314381[/C][C]190.241306856194[/C][/ROW]
[ROW][C]120[/C][C]2344[/C][C]2134.76078172848[/C][C]209.239218271524[/C][/ROW]
[ROW][C]121[/C][C]970[/C][C]1135.37809966138[/C][C]-165.378099661379[/C][/ROW]
[ROW][C]122[/C][C]1199[/C][C]1501.71162455123[/C][C]-302.711624551229[/C][/ROW]
[ROW][C]123[/C][C]1718[/C][C]1649.2085568589[/C][C]68.7914431410995[/C][/ROW]
[ROW][C]124[/C][C]1683[/C][C]1822.23219311813[/C][C]-139.232193118133[/C][/ROW]
[ROW][C]125[/C][C]2025[/C][C]2148.50714589241[/C][C]-123.507145892408[/C][/ROW]
[ROW][C]126[/C][C]2051[/C][C]2101.45775991581[/C][C]-50.4577599158069[/C][/ROW]
[ROW][C]127[/C][C]2439[/C][C]2597.53863841864[/C][C]-158.538638418635[/C][/ROW]
[ROW][C]128[/C][C]2353[/C][C]2454.95815170453[/C][C]-101.958151704525[/C][/ROW]
[ROW][C]129[/C][C]2230[/C][C]2049.68111829082[/C][C]180.318881709178[/C][/ROW]
[ROW][C]130[/C][C]1852[/C][C]1924.91609796578[/C][C]-72.9160979657772[/C][/ROW]
[ROW][C]131[/C][C]2147[/C][C]2042.54671457936[/C][C]104.453285420636[/C][/ROW]
[ROW][C]132[/C][C]2286[/C][C]2176.70038756706[/C][C]109.299612432936[/C][/ROW]
[ROW][C]133[/C][C]1007[/C][C]1065.76441805878[/C][C]-58.7644180587797[/C][/ROW]
[ROW][C]134[/C][C]1665[/C][C]1399.86768449305[/C][C]265.132315506950[/C][/ROW]
[ROW][C]135[/C][C]1642[/C][C]1753.86990491781[/C][C]-111.869904917812[/C][/ROW]
[ROW][C]136[/C][C]1518[/C][C]1841.29283465705[/C][C]-323.292834657047[/C][/ROW]
[ROW][C]137[/C][C]1831[/C][C]2152.87654567507[/C][C]-321.876545675072[/C][/ROW]
[ROW][C]138[/C][C]2207[/C][C]2099.26981765408[/C][C]107.730182345915[/C][/ROW]
[ROW][C]139[/C][C]2822[/C][C]2590.67641554791[/C][C]231.323584452090[/C][/ROW]
[ROW][C]140[/C][C]2393[/C][C]2514.71789350983[/C][C]-121.717893509827[/C][/ROW]
[ROW][C]141[/C][C]2306[/C][C]2180.37736497262[/C][C]125.622635027382[/C][/ROW]
[ROW][C]142[/C][C]1785[/C][C]1963.20155076723[/C][C]-178.201550767232[/C][/ROW]
[ROW][C]143[/C][C]2047[/C][C]2123.72126457589[/C][C]-76.7212645758927[/C][/ROW]
[ROW][C]144[/C][C]2171[/C][C]2234.38742977834[/C][C]-63.3874297783386[/C][/ROW]
[ROW][C]145[/C][C]1212[/C][C]1047.34686346252[/C][C]164.653136537481[/C][/ROW]
[ROW][C]146[/C][C]1335[/C][C]1521.24424765127[/C][C]-186.244247651267[/C][/ROW]
[ROW][C]147[/C][C]2011[/C][C]1693.60188388355[/C][C]317.39811611645[/C][/ROW]
[ROW][C]148[/C][C]1860[/C][C]1773.69759448320[/C][C]86.3024055167957[/C][/ROW]
[ROW][C]149[/C][C]1954[/C][C]2158.71790165912[/C][C]-204.717901659125[/C][/ROW]
[ROW][C]150[/C][C]2152[/C][C]2259.47994712112[/C][C]-107.479947121125[/C][/ROW]
[ROW][C]151[/C][C]2835[/C][C]2781.29868587681[/C][C]53.7013141231869[/C][/ROW]
[ROW][C]152[/C][C]2224[/C][C]2565.19655021878[/C][C]-341.196550218777[/C][/ROW]
[ROW][C]153[/C][C]2182[/C][C]2269.16895953021[/C][C]-87.1689595302146[/C][/ROW]
[ROW][C]154[/C][C]1992[/C][C]1925.45701889331[/C][C]66.5429811066938[/C][/ROW]
[ROW][C]155[/C][C]2389[/C][C]2155.82426469756[/C][C]233.175735302438[/C][/ROW]
[ROW][C]156[/C][C]2724[/C][C]2319.33331671591[/C][C]404.666683284094[/C][/ROW]
[ROW][C]157[/C][C]891[/C][C]1180.84303141773[/C][C]-289.843031417725[/C][/ROW]
[ROW][C]158[/C][C]1247[/C][C]1490.02323328043[/C][C]-243.023233280426[/C][/ROW]
[ROW][C]159[/C][C]2017[/C][C]1808.76868858983[/C][C]208.231311410165[/C][/ROW]
[ROW][C]160[/C][C]2257[/C][C]1802.22079463206[/C][C]454.779205367938[/C][/ROW]
[ROW][C]161[/C][C]2255[/C][C]2156.79215504739[/C][C]98.2078449526139[/C][/ROW]
[ROW][C]162[/C][C]2255[/C][C]2336.8751785537[/C][C]-81.8751785537015[/C][/ROW]
[ROW][C]163[/C][C]3057[/C][C]2941.71486638894[/C][C]115.285133611055[/C][/ROW]
[ROW][C]164[/C][C]3330[/C][C]2593.72160894797[/C][C]736.278391052027[/C][/ROW]
[ROW][C]165[/C][C]1896[/C][C]2506.1698416447[/C][C]-610.169841644698[/C][/ROW]
[ROW][C]166[/C][C]2096[/C][C]2113.62988175086[/C][C]-17.6298817508573[/C][/ROW]
[ROW][C]167[/C][C]2374[/C][C]2404.83255512033[/C][C]-30.8325551203279[/C][/ROW]
[ROW][C]168[/C][C]2535[/C][C]2593.07494193432[/C][C]-58.0749419343183[/C][/ROW]
[ROW][C]169[/C][C]1041[/C][C]1127.23701253264[/C][C]-86.237012532636[/C][/ROW]
[ROW][C]170[/C][C]1728[/C][C]1498.94107698729[/C][C]229.058923012706[/C][/ROW]
[ROW][C]171[/C][C]2201[/C][C]2073.26056298899[/C][C]127.739437011011[/C][/ROW]
[ROW][C]172[/C][C]2455[/C][C]2130.9507934861[/C][C]324.049206513899[/C][/ROW]
[ROW][C]173[/C][C]2204[/C][C]2375.75501482807[/C][C]-171.755014828069[/C][/ROW]
[ROW][C]174[/C][C]2660[/C][C]2472.00954440677[/C][C]187.990455593228[/C][/ROW]
[ROW][C]175[/C][C]3670[/C][C]3233.47028240361[/C][C]436.529717596392[/C][/ROW]
[ROW][C]176[/C][C]2665[/C][C]3093.8830706459[/C][C]-428.883070645898[/C][/ROW]
[ROW][C]177[/C][C]2639[/C][C]2405.05907050405[/C][C]233.940929495951[/C][/ROW]
[ROW][C]178[/C][C]2226[/C][C]2299.06592121852[/C][C]-73.0659212185169[/C][/ROW]
[ROW][C]179[/C][C]2586[/C][C]2604.97460965133[/C][C]-18.9746096513300[/C][/ROW]
[ROW][C]180[/C][C]2684[/C][C]2804.10579678828[/C][C]-120.105796788276[/C][/ROW]
[ROW][C]181[/C][C]1185[/C][C]1195.61768993792[/C][C]-10.6176899379157[/C][/ROW]
[ROW][C]182[/C][C]1749[/C][C]1719.32980817409[/C][C]29.6701918259105[/C][/ROW]
[ROW][C]183[/C][C]2459[/C][C]2274.99162656601[/C][C]184.008373433991[/C][/ROW]
[ROW][C]184[/C][C]2618[/C][C]2406.76323322972[/C][C]211.236766770282[/C][/ROW]
[ROW][C]185[/C][C]2585[/C][C]2488.59953884362[/C][C]96.4004611563769[/C][/ROW]
[ROW][C]186[/C][C]3310[/C][C]2751.98684954933[/C][C]558.013150450666[/C][/ROW]
[ROW][C]187[/C][C]3923[/C][C]3726.79165528676[/C][C]196.208344713244[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13050&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13050&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
13530515.41444062289714.5855593771033
14883842.90091669694140.0990833030589
15894849.83169597267844.1683040273223
1610451003.8819591418341.1180408581650
1711991159.8620904223439.1379095776585
1812871245.4057987452541.5942012547489
1915651514.8890018472250.1109981527823
2015771547.7779673909429.2220326090567
2110761073.175768685112.82423131488827
22918921.817194474754-3.81719447475382
2310081021.83640049345-13.8364004934452
2410631093.45753715863-30.4575371586332
25544538.4983176462415.50168235375861
26635883.992724365653-248.992724365653
27804851.857147113964-47.8571471139639
28980987.59009966451-7.59009966451094
2910181130.24715952532-112.247159525323
3010641190.1075296698-126.107529669800
3114041417.85280514777-13.8528051477679
3212861431.92714643595-145.92714643595
331104969.842429086618134.157570913382
34999845.741333206727153.258666793273
35996957.87196717625438.1280328237459
3610151027.20670939209-12.2067093920882
37615512.53138942575102.46861057425
38722783.740616251253-61.7406162512533
39832838.814780352263-6.81478035226257
40977994.104798817453-17.1047988174529
4112701104.29767508664165.702324913364
4214371201.89594875293235.104051247072
4315201540.82757247366-20.8275724736561
4417081513.34948377193194.650516228073
4511511140.0385393492510.9614606507496
46934990.346571583594-56.3465715835944
4711591043.96730162844115.032698371563
4812091114.4460185568194.5539814431922
49699600.00137200935498.9986279906462
50830842.553030410869-12.5530304108687
51996931.64538905808564.3546109419151
5211241114.861986004489.13801399552221
5314581307.69773088421150.302269115788
5412701436.98934543368-166.989345433682
5517531663.1807865427389.8192134572671
5622581721.34750618056536.652493819438
5712081285.52525758474-77.5252575847376
5812411085.02930910613155.970690893874
5912651238.3896460571226.6103539428761
6018281298.64872216196529.35127783804
61809748.42591746902560.5740825309753
62997987.915629816219.08437018378993
6311641126.2334165980337.7665834019715
6412051319.64954701957-114.649547019575
6515381578.99607270820-40.996072708195
6615131588.41846016296-75.4184601629597
6713781959.87732467204-581.877324672038
6820832074.328004242288.6719957577152
6913571337.2690226107919.7309773892086
7015361212.28145653055323.718543469453
7115261358.52293692570167.477063074303
7213761605.00054003904-229.000540039041
73779786.704150391548-7.70415039154796
7410051003.535881793461.46411820654123
7511931150.6741581131142.3258418868861
7615221299.02917640314222.970823596856
7715391641.75527564294-102.755275642938
7815461632.17732282556-86.1773228255631
7921161849.7002749325266.299725067501
8023262303.4321197333922.5678802666107
8115961492.1581417881103.841858211899
8213561464.53209893504-108.532098935041
8315531506.7714958091346.228504190874
8416131620.35062075642-7.3506207564185
85814844.989947423514-30.9899474235139
8611501077.9099565550472.090043444965
8712251261.00424991122-36.0042499112217
8816911466.87921964820224.120780351797
8917591726.1090511527532.8909488472527
9017541741.6587426445412.3412573554633
9121002110.94886589595-10.9488658959508
9220622477.55816342208-415.55816342208
9320121593.56220187514418.437798124862
9418971536.99236609413360.007633905866
9519641704.92823507691259.071764923093
9621861846.2276936445339.772306355501
97966979.48087993079-13.4808799307898
9815491295.00860664629253.991393353711
9915381500.5166950419137.4833049580895
10016121857.75200730189-245.752007301893
10120782024.1390438359353.8609561640656
10221372039.4347038086797.5652961913308
10329072479.46702292777427.532977072227
10422492834.49200953365-585.492009533651
10518832063.45276691845-180.452766918448
10617391884.57385781799-145.573857817994
10718281959.24821911067-131.248219110666
10818682076.73532015479-208.735320154794
1091138999.77958578803138.22041421197
11014301433.49724354292-3.49724354292471
11118091538.29530880992270.704691190080
11217631849.57217747235-86.5721774723452
11322002143.1170709924656.8829290075419
11420672172.30985888696-105.309858886960
11525032699.27317331618-196.273173316180
11621412652.32820928588-511.328209285884
11721032010.9299437257892.0700562742206
11819721875.7427232738196.2572767261868
11921811990.75869314381190.241306856194
12023442134.76078172848209.239218271524
1219701135.37809966138-165.378099661379
12211991501.71162455123-302.711624551229
12317181649.208556858968.7914431410995
12416831822.23219311813-139.232193118133
12520252148.50714589241-123.507145892408
12620512101.45775991581-50.4577599158069
12724392597.53863841864-158.538638418635
12823532454.95815170453-101.958151704525
12922302049.68111829082180.318881709178
13018521924.91609796578-72.9160979657772
13121472042.54671457936104.453285420636
13222862176.70038756706109.299612432936
13310071065.76441805878-58.7644180587797
13416651399.86768449305265.132315506950
13516421753.86990491781-111.869904917812
13615181841.29283465705-323.292834657047
13718312152.87654567507-321.876545675072
13822072099.26981765408107.730182345915
13928222590.67641554791231.323584452090
14023932514.71789350983-121.717893509827
14123062180.37736497262125.622635027382
14217851963.20155076723-178.201550767232
14320472123.72126457589-76.7212645758927
14421712234.38742977834-63.3874297783386
14512121047.34686346252164.653136537481
14613351521.24424765127-186.244247651267
14720111693.60188388355317.39811611645
14818601773.6975944832086.3024055167957
14919542158.71790165912-204.717901659125
15021522259.47994712112-107.479947121125
15128352781.2986858768153.7013141231869
15222242565.19655021878-341.196550218777
15321822269.16895953021-87.1689595302146
15419921925.4570188933166.5429811066938
15523892155.82426469756233.175735302438
15627242319.33331671591404.666683284094
1578911180.84303141773-289.843031417725
15812471490.02323328043-243.023233280426
15920171808.76868858983208.231311410165
16022571802.22079463206454.779205367938
16122552156.7921550473998.2078449526139
16222552336.8751785537-81.8751785537015
16330572941.71486638894115.285133611055
16433302593.72160894797736.278391052027
16518962506.1698416447-610.169841644698
16620962113.62988175086-17.6298817508573
16723742404.83255512033-30.8325551203279
16825352593.07494193432-58.0749419343183
16910411127.23701253264-86.237012532636
17017281498.94107698729229.058923012706
17122012073.26056298899127.739437011011
17224552130.9507934861324.049206513899
17322042375.75501482807-171.755014828069
17426602472.00954440677187.990455593228
17536703233.47028240361436.529717596392
17626653093.8830706459-428.883070645898
17726392405.05907050405233.940929495951
17822262299.06592121852-73.0659212185169
17925862604.97460965133-18.9746096513300
18026842804.10579678828-120.105796788276
18111851195.61768993792-10.6176899379157
18217491719.3298081740929.6701918259105
18324592274.99162656601184.008373433991
18426182406.76323322972211.236766770282
18525852488.5995388436296.4004611563769
18633102751.98684954933558.013150450666
18739233726.79165528676196.208344713244







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1883245.240346468903066.815391864053423.66530107374
1892768.004386666392583.193896508662952.81487682413
1902513.582914997922322.725825586532704.44000440931
1912883.958638013432678.458258161883089.45901786499
1923075.494776202872857.361600673873293.62795173188
1931333.954544451201145.615010901221522.29407800119
1941937.257265440191721.805140373922152.70939050645
1952607.537141051962353.185233664742861.88904843918
1962734.890891558222465.846682548513003.93510056792
1972755.008331558142477.118996861463032.89766625481
1983175.783553093472863.002135688013488.56497049893
1994008.987632258393672.269799298074345.70546521871

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 3245.24034646890 & 3066.81539186405 & 3423.66530107374 \tabularnewline
189 & 2768.00438666639 & 2583.19389650866 & 2952.81487682413 \tabularnewline
190 & 2513.58291499792 & 2322.72582558653 & 2704.44000440931 \tabularnewline
191 & 2883.95863801343 & 2678.45825816188 & 3089.45901786499 \tabularnewline
192 & 3075.49477620287 & 2857.36160067387 & 3293.62795173188 \tabularnewline
193 & 1333.95454445120 & 1145.61501090122 & 1522.29407800119 \tabularnewline
194 & 1937.25726544019 & 1721.80514037392 & 2152.70939050645 \tabularnewline
195 & 2607.53714105196 & 2353.18523366474 & 2861.88904843918 \tabularnewline
196 & 2734.89089155822 & 2465.84668254851 & 3003.93510056792 \tabularnewline
197 & 2755.00833155814 & 2477.11899686146 & 3032.89766625481 \tabularnewline
198 & 3175.78355309347 & 2863.00213568801 & 3488.56497049893 \tabularnewline
199 & 4008.98763225839 & 3672.26979929807 & 4345.70546521871 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13050&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]188[/C][C]3245.24034646890[/C][C]3066.81539186405[/C][C]3423.66530107374[/C][/ROW]
[ROW][C]189[/C][C]2768.00438666639[/C][C]2583.19389650866[/C][C]2952.81487682413[/C][/ROW]
[ROW][C]190[/C][C]2513.58291499792[/C][C]2322.72582558653[/C][C]2704.44000440931[/C][/ROW]
[ROW][C]191[/C][C]2883.95863801343[/C][C]2678.45825816188[/C][C]3089.45901786499[/C][/ROW]
[ROW][C]192[/C][C]3075.49477620287[/C][C]2857.36160067387[/C][C]3293.62795173188[/C][/ROW]
[ROW][C]193[/C][C]1333.95454445120[/C][C]1145.61501090122[/C][C]1522.29407800119[/C][/ROW]
[ROW][C]194[/C][C]1937.25726544019[/C][C]1721.80514037392[/C][C]2152.70939050645[/C][/ROW]
[ROW][C]195[/C][C]2607.53714105196[/C][C]2353.18523366474[/C][C]2861.88904843918[/C][/ROW]
[ROW][C]196[/C][C]2734.89089155822[/C][C]2465.84668254851[/C][C]3003.93510056792[/C][/ROW]
[ROW][C]197[/C][C]2755.00833155814[/C][C]2477.11899686146[/C][C]3032.89766625481[/C][/ROW]
[ROW][C]198[/C][C]3175.78355309347[/C][C]2863.00213568801[/C][C]3488.56497049893[/C][/ROW]
[ROW][C]199[/C][C]4008.98763225839[/C][C]3672.26979929807[/C][C]4345.70546521871[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13050&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13050&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
1883245.240346468903066.815391864053423.66530107374
1892768.004386666392583.193896508662952.81487682413
1902513.582914997922322.725825586532704.44000440931
1912883.958638013432678.458258161883089.45901786499
1923075.494776202872857.361600673873293.62795173188
1931333.954544451201145.615010901221522.29407800119
1941937.257265440191721.805140373922152.70939050645
1952607.537141051962353.185233664742861.88904843918
1962734.890891558222465.846682548513003.93510056792
1972755.008331558142477.118996861463032.89766625481
1983175.783553093472863.002135688013488.56497049893
1994008.987632258393672.269799298074345.70546521871



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')