Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 31 May 2010 19:53:46 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/May/31/t1275335947vulr2enohhu0b95.htm/, Retrieved Mon, 29 Apr 2024 12:51:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76789, Retrieved Mon, 29 Apr 2024 12:51:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact124
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 eigen o...] [2010-05-31 19:53:46] [429fba1dfa08ad8640b5b90c3479ded9] [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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76789&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76789&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76789&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' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.608148513917232
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.608148513917232 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76789&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]0.608148513917232[/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=76789&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76789&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
alpha0.608148513917232
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2675464211
3703592.319336436536110.680663563464
4887659.62961750203227.370382497970
51139797.904577726963341.095422273037
610771005.3412518862871.6587481137188
713181048.92041306081269.079586939191
812601212.5607639833447.4392360166596
911201241.41086486824-121.410864868241
109631167.57502782521-204.575027825214
119961043.16302866873-47.1630286687339
129601014.48090287201-54.4809028720076
13530981.348422753527-451.348422753527
14883706.861550197083176.138449802917
15894813.97988668841280.020113311588
161045862.643999682343182.356000317657
171199973.543530279416225.456469720584
1812871110.65454729301176.345452706985
1915651217.89877229283347.101227707171
2015771428.98786810179148.012131898208
2110761519.00122615741-443.001226157408
229181249.59068880627-331.590688806269
2310081047.93430417995-39.9343041799452
2410631023.6483164385939.3516835614071
255441047.57998431660-503.579984316604
26635741.328565215998-106.328565215998
27804676.665006292938127.334993707062
28980754.103593485548225.896406514452
291018891.482157406555126.517842593445
301064968.42379536377395.5762046362272
3114041026.54832217914377.451677820856
3212861256.0949991214629.9050008785368
3311041274.28168096444-170.281680964439
349991170.72512973859-171.725129738587
359961066.29074728582-70.2907472858215
3610151023.54353378182-8.54353378181736
376151018.34779640880-403.347796408803
38722773.052433431-51.0524334309995
39832742.00497190807989.9950280919213
40977796.73531450212180.264685497880
411270906.363015099413363.636984900587
4214371127.50830707205309.491692927952
4315201315.72522019591204.27477980409
4417081439.95462396454268.045376035463
4511511602.96602106289-451.966021062889
469341328.10355701241-394.103557012409
4711591088.4300644858270.5699355141824
4812091131.3470658960077.6529341039975
496991178.57158237266-479.571582372661
50830886.920837235792-56.9208372357921
51996852.30451465992143.695485340080
521124939.692710526105184.307289473895
5314581051.77891472377406.221085276233
5412701298.82166405635-28.8216640563533
5517531281.29381189186471.70618810814
5622581568.16122919539689.838770804612
5712081987.68565250270-779.685652502702
5812411513.52098161060-272.520981610597
5912651347.78775163285-82.787751632847
6018281297.44050350678530.559496493218
618091620.09947284381-811.099472843807
629971126.83053379480-129.830533794796
6311641047.87428760641116.125712393590
6412051118.4959670261586.5040329738486
6515381171.10326612704366.896733872955
6615131394.23096959297118.769030407032
6713781466.46017893440-88.4601789343951
6820831412.66325257459670.33674742541
6913571820.32754934546-463.327549345464
7015361538.55558875411-2.55558875410725
7115261537.00141125111-11.0014112511135
7213761530.31091934776-154.310919347757
737791436.46696306522-657.466963065217
7410051036.62940652743-31.6294065274296
7511931017.39402995169175.605970048311
7615221124.18853967156397.811460328437
7715391366.11698808955172.883011910454
7815461471.2555348644274.7444651355763
7921161516.71127026016599.288729739837
8023261881.16782065879444.83217934121
8115962151.69184946771-555.69184946771
8213561813.74867701800-457.748677018004
8315531535.3694993419317.6305006580740
8416131546.0914621167566.9085378832497
858141586.78178999882-772.781789998824
8611501116.8156928287433.1843071712592
8712251136.9966799203288.003320079685
8816911190.51576824656500.484231753442
8917591494.88451002642264.115489973579
9017541655.5059527563798.4940472436256
9121001715.40496121728384.595038782721
9220621949.29586251293112.704137487069
9320122017.83671623802-5.83671623801547
9418972014.28712593171-117.287125931710
9519641942.9591345947221.0408654052826
9621861955.75510562247230.244894377528
979662095.77819597520-1129.77819597520
9815491408.70526503679140.294734963211
9915381494.0252996150843.9747003849222
10016121520.7684483041291.2315516958763
10120781576.25078089033501.749219109666
10221371881.38882285101255.611177148991
10329072036.83838037480870.161619625198
10422492566.02587621768-317.025876217678
10518832373.22706072259-490.227060722589
10617392075.09620226213-336.096202262134
10718281870.69979632319-42.6997963231918
10818681844.7319786446723.2680213553258
10911381858.88239125371-720.88239125371
11014301420.478836303679.52116369633404
11118091426.26911785635382.730882143646
11217631659.02633506224103.973664937756
11322001722.25776488067477.742235119332
11420672012.7959952039954.2040047960136
11525032045.76008016904457.239919830955
11621412323.82985791787-182.829857917875
11721032212.64215152542-109.642151525421
11819722145.96344001255-173.963440012548
11921812040.16783249299140.832167507013
12023442125.81470587412218.185294125880
1219702258.50376825537-1288.50376825537
12211991474.90211641411-275.902116414113
12317181307.11265433025410.887345669749
12416831556.99318298670126.006817013295
12520251633.62404149678391.375958503219
12620511871.63874904345179.361250956554
12724391980.71702726701458.28297273299
12823532259.4211360881593.578863911851
12922302316.33098311020-86.3309831102042
13018522263.82892402672-411.82892402672
13121472013.37577589174133.624224108262
13222862094.63914920652191.360850793480
13310072211.01496623851-1204.01496623851
13416651478.79505378645186.204946213545
13516421592.0353151102649.9646848897396
13615181622.42126397430-104.421263974298
13718311558.91762746697272.08237253303
13822071724.38411798601482.615882013993
13928222017.88624942567804.11375057433
14023932506.90683185786-113.906831857861
14123062437.63456133848-131.634561338483
14217852357.58119848034-572.581198480338
14320472009.3667935275737.6332064724272
14421712032.25337211772138.746627882280
14512122116.63192767536-904.631927675356
14613351566.48136521751-231.481365217507
14720111425.70631696095585.293683039052
14818601781.6518005062978.3481994937092
14919541829.29914159648124.700858403519
15021521905.13578331878246.864216681216
15128352055.26588983281779.734110167193
15222242529.46003018156-305.460030181560
15321822343.69496676553-161.694966765532
15419922245.36041301918-253.360413019177
15523892091.27965435611297.720345643892
15627242272.33784012237451.662159877635
1578912547.01551144460-1656.01551144460
15812471539.91213913568-292.912139135680
15920171361.778057012655.221942988001
16022571760.25030792611496.749692073887
16122552062.34789494969192.652105050310
16222552179.5089863390675.4910136609378
16330572225.41873411107831.581265888933
16433302731.14364516283598.856354837168
16518963095.33724740695-1199.33724740695
16620962365.96208271083-269.962082710828
16723742201.78504329624172.214956703763
16825352306.51731328995228.482686710049
16910412445.46871966848-1404.46871966848
17017281591.34315495886136.656845041142
17122011674.45081218725526.549187812754
17224551994.67091825990460.329081740102
17322042274.61936523302-70.6193652330248
17426602231.67230321278428.327696787218
17536702492.159155483521177.84084451648
17626653208.46131470723-543.461314707234
17726392877.95612379652-238.956123796524
17822262732.63531221825-506.635312218246
17925862424.52579999473161.474200005273
18026842522.72609476391161.273905236092
18111852620.80458056687-1435.80458056687
18217491747.622158619571.37784138042798
18324591748.46009080749710.539909192507
18426182180.5738806618437.426119338199
18525852446.59392508591138.406074914092
18633102530.76537386203779.23462613797
18739233004.65575374069918.344246259314

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 675 & 464 & 211 \tabularnewline
3 & 703 & 592.319336436536 & 110.680663563464 \tabularnewline
4 & 887 & 659.62961750203 & 227.370382497970 \tabularnewline
5 & 1139 & 797.904577726963 & 341.095422273037 \tabularnewline
6 & 1077 & 1005.34125188628 & 71.6587481137188 \tabularnewline
7 & 1318 & 1048.92041306081 & 269.079586939191 \tabularnewline
8 & 1260 & 1212.56076398334 & 47.4392360166596 \tabularnewline
9 & 1120 & 1241.41086486824 & -121.410864868241 \tabularnewline
10 & 963 & 1167.57502782521 & -204.575027825214 \tabularnewline
11 & 996 & 1043.16302866873 & -47.1630286687339 \tabularnewline
12 & 960 & 1014.48090287201 & -54.4809028720076 \tabularnewline
13 & 530 & 981.348422753527 & -451.348422753527 \tabularnewline
14 & 883 & 706.861550197083 & 176.138449802917 \tabularnewline
15 & 894 & 813.979886688412 & 80.020113311588 \tabularnewline
16 & 1045 & 862.643999682343 & 182.356000317657 \tabularnewline
17 & 1199 & 973.543530279416 & 225.456469720584 \tabularnewline
18 & 1287 & 1110.65454729301 & 176.345452706985 \tabularnewline
19 & 1565 & 1217.89877229283 & 347.101227707171 \tabularnewline
20 & 1577 & 1428.98786810179 & 148.012131898208 \tabularnewline
21 & 1076 & 1519.00122615741 & -443.001226157408 \tabularnewline
22 & 918 & 1249.59068880627 & -331.590688806269 \tabularnewline
23 & 1008 & 1047.93430417995 & -39.9343041799452 \tabularnewline
24 & 1063 & 1023.64831643859 & 39.3516835614071 \tabularnewline
25 & 544 & 1047.57998431660 & -503.579984316604 \tabularnewline
26 & 635 & 741.328565215998 & -106.328565215998 \tabularnewline
27 & 804 & 676.665006292938 & 127.334993707062 \tabularnewline
28 & 980 & 754.103593485548 & 225.896406514452 \tabularnewline
29 & 1018 & 891.482157406555 & 126.517842593445 \tabularnewline
30 & 1064 & 968.423795363773 & 95.5762046362272 \tabularnewline
31 & 1404 & 1026.54832217914 & 377.451677820856 \tabularnewline
32 & 1286 & 1256.09499912146 & 29.9050008785368 \tabularnewline
33 & 1104 & 1274.28168096444 & -170.281680964439 \tabularnewline
34 & 999 & 1170.72512973859 & -171.725129738587 \tabularnewline
35 & 996 & 1066.29074728582 & -70.2907472858215 \tabularnewline
36 & 1015 & 1023.54353378182 & -8.54353378181736 \tabularnewline
37 & 615 & 1018.34779640880 & -403.347796408803 \tabularnewline
38 & 722 & 773.052433431 & -51.0524334309995 \tabularnewline
39 & 832 & 742.004971908079 & 89.9950280919213 \tabularnewline
40 & 977 & 796.73531450212 & 180.264685497880 \tabularnewline
41 & 1270 & 906.363015099413 & 363.636984900587 \tabularnewline
42 & 1437 & 1127.50830707205 & 309.491692927952 \tabularnewline
43 & 1520 & 1315.72522019591 & 204.27477980409 \tabularnewline
44 & 1708 & 1439.95462396454 & 268.045376035463 \tabularnewline
45 & 1151 & 1602.96602106289 & -451.966021062889 \tabularnewline
46 & 934 & 1328.10355701241 & -394.103557012409 \tabularnewline
47 & 1159 & 1088.43006448582 & 70.5699355141824 \tabularnewline
48 & 1209 & 1131.34706589600 & 77.6529341039975 \tabularnewline
49 & 699 & 1178.57158237266 & -479.571582372661 \tabularnewline
50 & 830 & 886.920837235792 & -56.9208372357921 \tabularnewline
51 & 996 & 852.30451465992 & 143.695485340080 \tabularnewline
52 & 1124 & 939.692710526105 & 184.307289473895 \tabularnewline
53 & 1458 & 1051.77891472377 & 406.221085276233 \tabularnewline
54 & 1270 & 1298.82166405635 & -28.8216640563533 \tabularnewline
55 & 1753 & 1281.29381189186 & 471.70618810814 \tabularnewline
56 & 2258 & 1568.16122919539 & 689.838770804612 \tabularnewline
57 & 1208 & 1987.68565250270 & -779.685652502702 \tabularnewline
58 & 1241 & 1513.52098161060 & -272.520981610597 \tabularnewline
59 & 1265 & 1347.78775163285 & -82.787751632847 \tabularnewline
60 & 1828 & 1297.44050350678 & 530.559496493218 \tabularnewline
61 & 809 & 1620.09947284381 & -811.099472843807 \tabularnewline
62 & 997 & 1126.83053379480 & -129.830533794796 \tabularnewline
63 & 1164 & 1047.87428760641 & 116.125712393590 \tabularnewline
64 & 1205 & 1118.49596702615 & 86.5040329738486 \tabularnewline
65 & 1538 & 1171.10326612704 & 366.896733872955 \tabularnewline
66 & 1513 & 1394.23096959297 & 118.769030407032 \tabularnewline
67 & 1378 & 1466.46017893440 & -88.4601789343951 \tabularnewline
68 & 2083 & 1412.66325257459 & 670.33674742541 \tabularnewline
69 & 1357 & 1820.32754934546 & -463.327549345464 \tabularnewline
70 & 1536 & 1538.55558875411 & -2.55558875410725 \tabularnewline
71 & 1526 & 1537.00141125111 & -11.0014112511135 \tabularnewline
72 & 1376 & 1530.31091934776 & -154.310919347757 \tabularnewline
73 & 779 & 1436.46696306522 & -657.466963065217 \tabularnewline
74 & 1005 & 1036.62940652743 & -31.6294065274296 \tabularnewline
75 & 1193 & 1017.39402995169 & 175.605970048311 \tabularnewline
76 & 1522 & 1124.18853967156 & 397.811460328437 \tabularnewline
77 & 1539 & 1366.11698808955 & 172.883011910454 \tabularnewline
78 & 1546 & 1471.25553486442 & 74.7444651355763 \tabularnewline
79 & 2116 & 1516.71127026016 & 599.288729739837 \tabularnewline
80 & 2326 & 1881.16782065879 & 444.83217934121 \tabularnewline
81 & 1596 & 2151.69184946771 & -555.69184946771 \tabularnewline
82 & 1356 & 1813.74867701800 & -457.748677018004 \tabularnewline
83 & 1553 & 1535.36949934193 & 17.6305006580740 \tabularnewline
84 & 1613 & 1546.09146211675 & 66.9085378832497 \tabularnewline
85 & 814 & 1586.78178999882 & -772.781789998824 \tabularnewline
86 & 1150 & 1116.81569282874 & 33.1843071712592 \tabularnewline
87 & 1225 & 1136.99667992032 & 88.003320079685 \tabularnewline
88 & 1691 & 1190.51576824656 & 500.484231753442 \tabularnewline
89 & 1759 & 1494.88451002642 & 264.115489973579 \tabularnewline
90 & 1754 & 1655.50595275637 & 98.4940472436256 \tabularnewline
91 & 2100 & 1715.40496121728 & 384.595038782721 \tabularnewline
92 & 2062 & 1949.29586251293 & 112.704137487069 \tabularnewline
93 & 2012 & 2017.83671623802 & -5.83671623801547 \tabularnewline
94 & 1897 & 2014.28712593171 & -117.287125931710 \tabularnewline
95 & 1964 & 1942.95913459472 & 21.0408654052826 \tabularnewline
96 & 2186 & 1955.75510562247 & 230.244894377528 \tabularnewline
97 & 966 & 2095.77819597520 & -1129.77819597520 \tabularnewline
98 & 1549 & 1408.70526503679 & 140.294734963211 \tabularnewline
99 & 1538 & 1494.02529961508 & 43.9747003849222 \tabularnewline
100 & 1612 & 1520.76844830412 & 91.2315516958763 \tabularnewline
101 & 2078 & 1576.25078089033 & 501.749219109666 \tabularnewline
102 & 2137 & 1881.38882285101 & 255.611177148991 \tabularnewline
103 & 2907 & 2036.83838037480 & 870.161619625198 \tabularnewline
104 & 2249 & 2566.02587621768 & -317.025876217678 \tabularnewline
105 & 1883 & 2373.22706072259 & -490.227060722589 \tabularnewline
106 & 1739 & 2075.09620226213 & -336.096202262134 \tabularnewline
107 & 1828 & 1870.69979632319 & -42.6997963231918 \tabularnewline
108 & 1868 & 1844.73197864467 & 23.2680213553258 \tabularnewline
109 & 1138 & 1858.88239125371 & -720.88239125371 \tabularnewline
110 & 1430 & 1420.47883630367 & 9.52116369633404 \tabularnewline
111 & 1809 & 1426.26911785635 & 382.730882143646 \tabularnewline
112 & 1763 & 1659.02633506224 & 103.973664937756 \tabularnewline
113 & 2200 & 1722.25776488067 & 477.742235119332 \tabularnewline
114 & 2067 & 2012.79599520399 & 54.2040047960136 \tabularnewline
115 & 2503 & 2045.76008016904 & 457.239919830955 \tabularnewline
116 & 2141 & 2323.82985791787 & -182.829857917875 \tabularnewline
117 & 2103 & 2212.64215152542 & -109.642151525421 \tabularnewline
118 & 1972 & 2145.96344001255 & -173.963440012548 \tabularnewline
119 & 2181 & 2040.16783249299 & 140.832167507013 \tabularnewline
120 & 2344 & 2125.81470587412 & 218.185294125880 \tabularnewline
121 & 970 & 2258.50376825537 & -1288.50376825537 \tabularnewline
122 & 1199 & 1474.90211641411 & -275.902116414113 \tabularnewline
123 & 1718 & 1307.11265433025 & 410.887345669749 \tabularnewline
124 & 1683 & 1556.99318298670 & 126.006817013295 \tabularnewline
125 & 2025 & 1633.62404149678 & 391.375958503219 \tabularnewline
126 & 2051 & 1871.63874904345 & 179.361250956554 \tabularnewline
127 & 2439 & 1980.71702726701 & 458.28297273299 \tabularnewline
128 & 2353 & 2259.42113608815 & 93.578863911851 \tabularnewline
129 & 2230 & 2316.33098311020 & -86.3309831102042 \tabularnewline
130 & 1852 & 2263.82892402672 & -411.82892402672 \tabularnewline
131 & 2147 & 2013.37577589174 & 133.624224108262 \tabularnewline
132 & 2286 & 2094.63914920652 & 191.360850793480 \tabularnewline
133 & 1007 & 2211.01496623851 & -1204.01496623851 \tabularnewline
134 & 1665 & 1478.79505378645 & 186.204946213545 \tabularnewline
135 & 1642 & 1592.03531511026 & 49.9646848897396 \tabularnewline
136 & 1518 & 1622.42126397430 & -104.421263974298 \tabularnewline
137 & 1831 & 1558.91762746697 & 272.08237253303 \tabularnewline
138 & 2207 & 1724.38411798601 & 482.615882013993 \tabularnewline
139 & 2822 & 2017.88624942567 & 804.11375057433 \tabularnewline
140 & 2393 & 2506.90683185786 & -113.906831857861 \tabularnewline
141 & 2306 & 2437.63456133848 & -131.634561338483 \tabularnewline
142 & 1785 & 2357.58119848034 & -572.581198480338 \tabularnewline
143 & 2047 & 2009.36679352757 & 37.6332064724272 \tabularnewline
144 & 2171 & 2032.25337211772 & 138.746627882280 \tabularnewline
145 & 1212 & 2116.63192767536 & -904.631927675356 \tabularnewline
146 & 1335 & 1566.48136521751 & -231.481365217507 \tabularnewline
147 & 2011 & 1425.70631696095 & 585.293683039052 \tabularnewline
148 & 1860 & 1781.65180050629 & 78.3481994937092 \tabularnewline
149 & 1954 & 1829.29914159648 & 124.700858403519 \tabularnewline
150 & 2152 & 1905.13578331878 & 246.864216681216 \tabularnewline
151 & 2835 & 2055.26588983281 & 779.734110167193 \tabularnewline
152 & 2224 & 2529.46003018156 & -305.460030181560 \tabularnewline
153 & 2182 & 2343.69496676553 & -161.694966765532 \tabularnewline
154 & 1992 & 2245.36041301918 & -253.360413019177 \tabularnewline
155 & 2389 & 2091.27965435611 & 297.720345643892 \tabularnewline
156 & 2724 & 2272.33784012237 & 451.662159877635 \tabularnewline
157 & 891 & 2547.01551144460 & -1656.01551144460 \tabularnewline
158 & 1247 & 1539.91213913568 & -292.912139135680 \tabularnewline
159 & 2017 & 1361.778057012 & 655.221942988001 \tabularnewline
160 & 2257 & 1760.25030792611 & 496.749692073887 \tabularnewline
161 & 2255 & 2062.34789494969 & 192.652105050310 \tabularnewline
162 & 2255 & 2179.50898633906 & 75.4910136609378 \tabularnewline
163 & 3057 & 2225.41873411107 & 831.581265888933 \tabularnewline
164 & 3330 & 2731.14364516283 & 598.856354837168 \tabularnewline
165 & 1896 & 3095.33724740695 & -1199.33724740695 \tabularnewline
166 & 2096 & 2365.96208271083 & -269.962082710828 \tabularnewline
167 & 2374 & 2201.78504329624 & 172.214956703763 \tabularnewline
168 & 2535 & 2306.51731328995 & 228.482686710049 \tabularnewline
169 & 1041 & 2445.46871966848 & -1404.46871966848 \tabularnewline
170 & 1728 & 1591.34315495886 & 136.656845041142 \tabularnewline
171 & 2201 & 1674.45081218725 & 526.549187812754 \tabularnewline
172 & 2455 & 1994.67091825990 & 460.329081740102 \tabularnewline
173 & 2204 & 2274.61936523302 & -70.6193652330248 \tabularnewline
174 & 2660 & 2231.67230321278 & 428.327696787218 \tabularnewline
175 & 3670 & 2492.15915548352 & 1177.84084451648 \tabularnewline
176 & 2665 & 3208.46131470723 & -543.461314707234 \tabularnewline
177 & 2639 & 2877.95612379652 & -238.956123796524 \tabularnewline
178 & 2226 & 2732.63531221825 & -506.635312218246 \tabularnewline
179 & 2586 & 2424.52579999473 & 161.474200005273 \tabularnewline
180 & 2684 & 2522.72609476391 & 161.273905236092 \tabularnewline
181 & 1185 & 2620.80458056687 & -1435.80458056687 \tabularnewline
182 & 1749 & 1747.62215861957 & 1.37784138042798 \tabularnewline
183 & 2459 & 1748.46009080749 & 710.539909192507 \tabularnewline
184 & 2618 & 2180.5738806618 & 437.426119338199 \tabularnewline
185 & 2585 & 2446.59392508591 & 138.406074914092 \tabularnewline
186 & 3310 & 2530.76537386203 & 779.23462613797 \tabularnewline
187 & 3923 & 3004.65575374069 & 918.344246259314 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76789&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]675[/C][C]464[/C][C]211[/C][/ROW]
[ROW][C]3[/C][C]703[/C][C]592.319336436536[/C][C]110.680663563464[/C][/ROW]
[ROW][C]4[/C][C]887[/C][C]659.62961750203[/C][C]227.370382497970[/C][/ROW]
[ROW][C]5[/C][C]1139[/C][C]797.904577726963[/C][C]341.095422273037[/C][/ROW]
[ROW][C]6[/C][C]1077[/C][C]1005.34125188628[/C][C]71.6587481137188[/C][/ROW]
[ROW][C]7[/C][C]1318[/C][C]1048.92041306081[/C][C]269.079586939191[/C][/ROW]
[ROW][C]8[/C][C]1260[/C][C]1212.56076398334[/C][C]47.4392360166596[/C][/ROW]
[ROW][C]9[/C][C]1120[/C][C]1241.41086486824[/C][C]-121.410864868241[/C][/ROW]
[ROW][C]10[/C][C]963[/C][C]1167.57502782521[/C][C]-204.575027825214[/C][/ROW]
[ROW][C]11[/C][C]996[/C][C]1043.16302866873[/C][C]-47.1630286687339[/C][/ROW]
[ROW][C]12[/C][C]960[/C][C]1014.48090287201[/C][C]-54.4809028720076[/C][/ROW]
[ROW][C]13[/C][C]530[/C][C]981.348422753527[/C][C]-451.348422753527[/C][/ROW]
[ROW][C]14[/C][C]883[/C][C]706.861550197083[/C][C]176.138449802917[/C][/ROW]
[ROW][C]15[/C][C]894[/C][C]813.979886688412[/C][C]80.020113311588[/C][/ROW]
[ROW][C]16[/C][C]1045[/C][C]862.643999682343[/C][C]182.356000317657[/C][/ROW]
[ROW][C]17[/C][C]1199[/C][C]973.543530279416[/C][C]225.456469720584[/C][/ROW]
[ROW][C]18[/C][C]1287[/C][C]1110.65454729301[/C][C]176.345452706985[/C][/ROW]
[ROW][C]19[/C][C]1565[/C][C]1217.89877229283[/C][C]347.101227707171[/C][/ROW]
[ROW][C]20[/C][C]1577[/C][C]1428.98786810179[/C][C]148.012131898208[/C][/ROW]
[ROW][C]21[/C][C]1076[/C][C]1519.00122615741[/C][C]-443.001226157408[/C][/ROW]
[ROW][C]22[/C][C]918[/C][C]1249.59068880627[/C][C]-331.590688806269[/C][/ROW]
[ROW][C]23[/C][C]1008[/C][C]1047.93430417995[/C][C]-39.9343041799452[/C][/ROW]
[ROW][C]24[/C][C]1063[/C][C]1023.64831643859[/C][C]39.3516835614071[/C][/ROW]
[ROW][C]25[/C][C]544[/C][C]1047.57998431660[/C][C]-503.579984316604[/C][/ROW]
[ROW][C]26[/C][C]635[/C][C]741.328565215998[/C][C]-106.328565215998[/C][/ROW]
[ROW][C]27[/C][C]804[/C][C]676.665006292938[/C][C]127.334993707062[/C][/ROW]
[ROW][C]28[/C][C]980[/C][C]754.103593485548[/C][C]225.896406514452[/C][/ROW]
[ROW][C]29[/C][C]1018[/C][C]891.482157406555[/C][C]126.517842593445[/C][/ROW]
[ROW][C]30[/C][C]1064[/C][C]968.423795363773[/C][C]95.5762046362272[/C][/ROW]
[ROW][C]31[/C][C]1404[/C][C]1026.54832217914[/C][C]377.451677820856[/C][/ROW]
[ROW][C]32[/C][C]1286[/C][C]1256.09499912146[/C][C]29.9050008785368[/C][/ROW]
[ROW][C]33[/C][C]1104[/C][C]1274.28168096444[/C][C]-170.281680964439[/C][/ROW]
[ROW][C]34[/C][C]999[/C][C]1170.72512973859[/C][C]-171.725129738587[/C][/ROW]
[ROW][C]35[/C][C]996[/C][C]1066.29074728582[/C][C]-70.2907472858215[/C][/ROW]
[ROW][C]36[/C][C]1015[/C][C]1023.54353378182[/C][C]-8.54353378181736[/C][/ROW]
[ROW][C]37[/C][C]615[/C][C]1018.34779640880[/C][C]-403.347796408803[/C][/ROW]
[ROW][C]38[/C][C]722[/C][C]773.052433431[/C][C]-51.0524334309995[/C][/ROW]
[ROW][C]39[/C][C]832[/C][C]742.004971908079[/C][C]89.9950280919213[/C][/ROW]
[ROW][C]40[/C][C]977[/C][C]796.73531450212[/C][C]180.264685497880[/C][/ROW]
[ROW][C]41[/C][C]1270[/C][C]906.363015099413[/C][C]363.636984900587[/C][/ROW]
[ROW][C]42[/C][C]1437[/C][C]1127.50830707205[/C][C]309.491692927952[/C][/ROW]
[ROW][C]43[/C][C]1520[/C][C]1315.72522019591[/C][C]204.27477980409[/C][/ROW]
[ROW][C]44[/C][C]1708[/C][C]1439.95462396454[/C][C]268.045376035463[/C][/ROW]
[ROW][C]45[/C][C]1151[/C][C]1602.96602106289[/C][C]-451.966021062889[/C][/ROW]
[ROW][C]46[/C][C]934[/C][C]1328.10355701241[/C][C]-394.103557012409[/C][/ROW]
[ROW][C]47[/C][C]1159[/C][C]1088.43006448582[/C][C]70.5699355141824[/C][/ROW]
[ROW][C]48[/C][C]1209[/C][C]1131.34706589600[/C][C]77.6529341039975[/C][/ROW]
[ROW][C]49[/C][C]699[/C][C]1178.57158237266[/C][C]-479.571582372661[/C][/ROW]
[ROW][C]50[/C][C]830[/C][C]886.920837235792[/C][C]-56.9208372357921[/C][/ROW]
[ROW][C]51[/C][C]996[/C][C]852.30451465992[/C][C]143.695485340080[/C][/ROW]
[ROW][C]52[/C][C]1124[/C][C]939.692710526105[/C][C]184.307289473895[/C][/ROW]
[ROW][C]53[/C][C]1458[/C][C]1051.77891472377[/C][C]406.221085276233[/C][/ROW]
[ROW][C]54[/C][C]1270[/C][C]1298.82166405635[/C][C]-28.8216640563533[/C][/ROW]
[ROW][C]55[/C][C]1753[/C][C]1281.29381189186[/C][C]471.70618810814[/C][/ROW]
[ROW][C]56[/C][C]2258[/C][C]1568.16122919539[/C][C]689.838770804612[/C][/ROW]
[ROW][C]57[/C][C]1208[/C][C]1987.68565250270[/C][C]-779.685652502702[/C][/ROW]
[ROW][C]58[/C][C]1241[/C][C]1513.52098161060[/C][C]-272.520981610597[/C][/ROW]
[ROW][C]59[/C][C]1265[/C][C]1347.78775163285[/C][C]-82.787751632847[/C][/ROW]
[ROW][C]60[/C][C]1828[/C][C]1297.44050350678[/C][C]530.559496493218[/C][/ROW]
[ROW][C]61[/C][C]809[/C][C]1620.09947284381[/C][C]-811.099472843807[/C][/ROW]
[ROW][C]62[/C][C]997[/C][C]1126.83053379480[/C][C]-129.830533794796[/C][/ROW]
[ROW][C]63[/C][C]1164[/C][C]1047.87428760641[/C][C]116.125712393590[/C][/ROW]
[ROW][C]64[/C][C]1205[/C][C]1118.49596702615[/C][C]86.5040329738486[/C][/ROW]
[ROW][C]65[/C][C]1538[/C][C]1171.10326612704[/C][C]366.896733872955[/C][/ROW]
[ROW][C]66[/C][C]1513[/C][C]1394.23096959297[/C][C]118.769030407032[/C][/ROW]
[ROW][C]67[/C][C]1378[/C][C]1466.46017893440[/C][C]-88.4601789343951[/C][/ROW]
[ROW][C]68[/C][C]2083[/C][C]1412.66325257459[/C][C]670.33674742541[/C][/ROW]
[ROW][C]69[/C][C]1357[/C][C]1820.32754934546[/C][C]-463.327549345464[/C][/ROW]
[ROW][C]70[/C][C]1536[/C][C]1538.55558875411[/C][C]-2.55558875410725[/C][/ROW]
[ROW][C]71[/C][C]1526[/C][C]1537.00141125111[/C][C]-11.0014112511135[/C][/ROW]
[ROW][C]72[/C][C]1376[/C][C]1530.31091934776[/C][C]-154.310919347757[/C][/ROW]
[ROW][C]73[/C][C]779[/C][C]1436.46696306522[/C][C]-657.466963065217[/C][/ROW]
[ROW][C]74[/C][C]1005[/C][C]1036.62940652743[/C][C]-31.6294065274296[/C][/ROW]
[ROW][C]75[/C][C]1193[/C][C]1017.39402995169[/C][C]175.605970048311[/C][/ROW]
[ROW][C]76[/C][C]1522[/C][C]1124.18853967156[/C][C]397.811460328437[/C][/ROW]
[ROW][C]77[/C][C]1539[/C][C]1366.11698808955[/C][C]172.883011910454[/C][/ROW]
[ROW][C]78[/C][C]1546[/C][C]1471.25553486442[/C][C]74.7444651355763[/C][/ROW]
[ROW][C]79[/C][C]2116[/C][C]1516.71127026016[/C][C]599.288729739837[/C][/ROW]
[ROW][C]80[/C][C]2326[/C][C]1881.16782065879[/C][C]444.83217934121[/C][/ROW]
[ROW][C]81[/C][C]1596[/C][C]2151.69184946771[/C][C]-555.69184946771[/C][/ROW]
[ROW][C]82[/C][C]1356[/C][C]1813.74867701800[/C][C]-457.748677018004[/C][/ROW]
[ROW][C]83[/C][C]1553[/C][C]1535.36949934193[/C][C]17.6305006580740[/C][/ROW]
[ROW][C]84[/C][C]1613[/C][C]1546.09146211675[/C][C]66.9085378832497[/C][/ROW]
[ROW][C]85[/C][C]814[/C][C]1586.78178999882[/C][C]-772.781789998824[/C][/ROW]
[ROW][C]86[/C][C]1150[/C][C]1116.81569282874[/C][C]33.1843071712592[/C][/ROW]
[ROW][C]87[/C][C]1225[/C][C]1136.99667992032[/C][C]88.003320079685[/C][/ROW]
[ROW][C]88[/C][C]1691[/C][C]1190.51576824656[/C][C]500.484231753442[/C][/ROW]
[ROW][C]89[/C][C]1759[/C][C]1494.88451002642[/C][C]264.115489973579[/C][/ROW]
[ROW][C]90[/C][C]1754[/C][C]1655.50595275637[/C][C]98.4940472436256[/C][/ROW]
[ROW][C]91[/C][C]2100[/C][C]1715.40496121728[/C][C]384.595038782721[/C][/ROW]
[ROW][C]92[/C][C]2062[/C][C]1949.29586251293[/C][C]112.704137487069[/C][/ROW]
[ROW][C]93[/C][C]2012[/C][C]2017.83671623802[/C][C]-5.83671623801547[/C][/ROW]
[ROW][C]94[/C][C]1897[/C][C]2014.28712593171[/C][C]-117.287125931710[/C][/ROW]
[ROW][C]95[/C][C]1964[/C][C]1942.95913459472[/C][C]21.0408654052826[/C][/ROW]
[ROW][C]96[/C][C]2186[/C][C]1955.75510562247[/C][C]230.244894377528[/C][/ROW]
[ROW][C]97[/C][C]966[/C][C]2095.77819597520[/C][C]-1129.77819597520[/C][/ROW]
[ROW][C]98[/C][C]1549[/C][C]1408.70526503679[/C][C]140.294734963211[/C][/ROW]
[ROW][C]99[/C][C]1538[/C][C]1494.02529961508[/C][C]43.9747003849222[/C][/ROW]
[ROW][C]100[/C][C]1612[/C][C]1520.76844830412[/C][C]91.2315516958763[/C][/ROW]
[ROW][C]101[/C][C]2078[/C][C]1576.25078089033[/C][C]501.749219109666[/C][/ROW]
[ROW][C]102[/C][C]2137[/C][C]1881.38882285101[/C][C]255.611177148991[/C][/ROW]
[ROW][C]103[/C][C]2907[/C][C]2036.83838037480[/C][C]870.161619625198[/C][/ROW]
[ROW][C]104[/C][C]2249[/C][C]2566.02587621768[/C][C]-317.025876217678[/C][/ROW]
[ROW][C]105[/C][C]1883[/C][C]2373.22706072259[/C][C]-490.227060722589[/C][/ROW]
[ROW][C]106[/C][C]1739[/C][C]2075.09620226213[/C][C]-336.096202262134[/C][/ROW]
[ROW][C]107[/C][C]1828[/C][C]1870.69979632319[/C][C]-42.6997963231918[/C][/ROW]
[ROW][C]108[/C][C]1868[/C][C]1844.73197864467[/C][C]23.2680213553258[/C][/ROW]
[ROW][C]109[/C][C]1138[/C][C]1858.88239125371[/C][C]-720.88239125371[/C][/ROW]
[ROW][C]110[/C][C]1430[/C][C]1420.47883630367[/C][C]9.52116369633404[/C][/ROW]
[ROW][C]111[/C][C]1809[/C][C]1426.26911785635[/C][C]382.730882143646[/C][/ROW]
[ROW][C]112[/C][C]1763[/C][C]1659.02633506224[/C][C]103.973664937756[/C][/ROW]
[ROW][C]113[/C][C]2200[/C][C]1722.25776488067[/C][C]477.742235119332[/C][/ROW]
[ROW][C]114[/C][C]2067[/C][C]2012.79599520399[/C][C]54.2040047960136[/C][/ROW]
[ROW][C]115[/C][C]2503[/C][C]2045.76008016904[/C][C]457.239919830955[/C][/ROW]
[ROW][C]116[/C][C]2141[/C][C]2323.82985791787[/C][C]-182.829857917875[/C][/ROW]
[ROW][C]117[/C][C]2103[/C][C]2212.64215152542[/C][C]-109.642151525421[/C][/ROW]
[ROW][C]118[/C][C]1972[/C][C]2145.96344001255[/C][C]-173.963440012548[/C][/ROW]
[ROW][C]119[/C][C]2181[/C][C]2040.16783249299[/C][C]140.832167507013[/C][/ROW]
[ROW][C]120[/C][C]2344[/C][C]2125.81470587412[/C][C]218.185294125880[/C][/ROW]
[ROW][C]121[/C][C]970[/C][C]2258.50376825537[/C][C]-1288.50376825537[/C][/ROW]
[ROW][C]122[/C][C]1199[/C][C]1474.90211641411[/C][C]-275.902116414113[/C][/ROW]
[ROW][C]123[/C][C]1718[/C][C]1307.11265433025[/C][C]410.887345669749[/C][/ROW]
[ROW][C]124[/C][C]1683[/C][C]1556.99318298670[/C][C]126.006817013295[/C][/ROW]
[ROW][C]125[/C][C]2025[/C][C]1633.62404149678[/C][C]391.375958503219[/C][/ROW]
[ROW][C]126[/C][C]2051[/C][C]1871.63874904345[/C][C]179.361250956554[/C][/ROW]
[ROW][C]127[/C][C]2439[/C][C]1980.71702726701[/C][C]458.28297273299[/C][/ROW]
[ROW][C]128[/C][C]2353[/C][C]2259.42113608815[/C][C]93.578863911851[/C][/ROW]
[ROW][C]129[/C][C]2230[/C][C]2316.33098311020[/C][C]-86.3309831102042[/C][/ROW]
[ROW][C]130[/C][C]1852[/C][C]2263.82892402672[/C][C]-411.82892402672[/C][/ROW]
[ROW][C]131[/C][C]2147[/C][C]2013.37577589174[/C][C]133.624224108262[/C][/ROW]
[ROW][C]132[/C][C]2286[/C][C]2094.63914920652[/C][C]191.360850793480[/C][/ROW]
[ROW][C]133[/C][C]1007[/C][C]2211.01496623851[/C][C]-1204.01496623851[/C][/ROW]
[ROW][C]134[/C][C]1665[/C][C]1478.79505378645[/C][C]186.204946213545[/C][/ROW]
[ROW][C]135[/C][C]1642[/C][C]1592.03531511026[/C][C]49.9646848897396[/C][/ROW]
[ROW][C]136[/C][C]1518[/C][C]1622.42126397430[/C][C]-104.421263974298[/C][/ROW]
[ROW][C]137[/C][C]1831[/C][C]1558.91762746697[/C][C]272.08237253303[/C][/ROW]
[ROW][C]138[/C][C]2207[/C][C]1724.38411798601[/C][C]482.615882013993[/C][/ROW]
[ROW][C]139[/C][C]2822[/C][C]2017.88624942567[/C][C]804.11375057433[/C][/ROW]
[ROW][C]140[/C][C]2393[/C][C]2506.90683185786[/C][C]-113.906831857861[/C][/ROW]
[ROW][C]141[/C][C]2306[/C][C]2437.63456133848[/C][C]-131.634561338483[/C][/ROW]
[ROW][C]142[/C][C]1785[/C][C]2357.58119848034[/C][C]-572.581198480338[/C][/ROW]
[ROW][C]143[/C][C]2047[/C][C]2009.36679352757[/C][C]37.6332064724272[/C][/ROW]
[ROW][C]144[/C][C]2171[/C][C]2032.25337211772[/C][C]138.746627882280[/C][/ROW]
[ROW][C]145[/C][C]1212[/C][C]2116.63192767536[/C][C]-904.631927675356[/C][/ROW]
[ROW][C]146[/C][C]1335[/C][C]1566.48136521751[/C][C]-231.481365217507[/C][/ROW]
[ROW][C]147[/C][C]2011[/C][C]1425.70631696095[/C][C]585.293683039052[/C][/ROW]
[ROW][C]148[/C][C]1860[/C][C]1781.65180050629[/C][C]78.3481994937092[/C][/ROW]
[ROW][C]149[/C][C]1954[/C][C]1829.29914159648[/C][C]124.700858403519[/C][/ROW]
[ROW][C]150[/C][C]2152[/C][C]1905.13578331878[/C][C]246.864216681216[/C][/ROW]
[ROW][C]151[/C][C]2835[/C][C]2055.26588983281[/C][C]779.734110167193[/C][/ROW]
[ROW][C]152[/C][C]2224[/C][C]2529.46003018156[/C][C]-305.460030181560[/C][/ROW]
[ROW][C]153[/C][C]2182[/C][C]2343.69496676553[/C][C]-161.694966765532[/C][/ROW]
[ROW][C]154[/C][C]1992[/C][C]2245.36041301918[/C][C]-253.360413019177[/C][/ROW]
[ROW][C]155[/C][C]2389[/C][C]2091.27965435611[/C][C]297.720345643892[/C][/ROW]
[ROW][C]156[/C][C]2724[/C][C]2272.33784012237[/C][C]451.662159877635[/C][/ROW]
[ROW][C]157[/C][C]891[/C][C]2547.01551144460[/C][C]-1656.01551144460[/C][/ROW]
[ROW][C]158[/C][C]1247[/C][C]1539.91213913568[/C][C]-292.912139135680[/C][/ROW]
[ROW][C]159[/C][C]2017[/C][C]1361.778057012[/C][C]655.221942988001[/C][/ROW]
[ROW][C]160[/C][C]2257[/C][C]1760.25030792611[/C][C]496.749692073887[/C][/ROW]
[ROW][C]161[/C][C]2255[/C][C]2062.34789494969[/C][C]192.652105050310[/C][/ROW]
[ROW][C]162[/C][C]2255[/C][C]2179.50898633906[/C][C]75.4910136609378[/C][/ROW]
[ROW][C]163[/C][C]3057[/C][C]2225.41873411107[/C][C]831.581265888933[/C][/ROW]
[ROW][C]164[/C][C]3330[/C][C]2731.14364516283[/C][C]598.856354837168[/C][/ROW]
[ROW][C]165[/C][C]1896[/C][C]3095.33724740695[/C][C]-1199.33724740695[/C][/ROW]
[ROW][C]166[/C][C]2096[/C][C]2365.96208271083[/C][C]-269.962082710828[/C][/ROW]
[ROW][C]167[/C][C]2374[/C][C]2201.78504329624[/C][C]172.214956703763[/C][/ROW]
[ROW][C]168[/C][C]2535[/C][C]2306.51731328995[/C][C]228.482686710049[/C][/ROW]
[ROW][C]169[/C][C]1041[/C][C]2445.46871966848[/C][C]-1404.46871966848[/C][/ROW]
[ROW][C]170[/C][C]1728[/C][C]1591.34315495886[/C][C]136.656845041142[/C][/ROW]
[ROW][C]171[/C][C]2201[/C][C]1674.45081218725[/C][C]526.549187812754[/C][/ROW]
[ROW][C]172[/C][C]2455[/C][C]1994.67091825990[/C][C]460.329081740102[/C][/ROW]
[ROW][C]173[/C][C]2204[/C][C]2274.61936523302[/C][C]-70.6193652330248[/C][/ROW]
[ROW][C]174[/C][C]2660[/C][C]2231.67230321278[/C][C]428.327696787218[/C][/ROW]
[ROW][C]175[/C][C]3670[/C][C]2492.15915548352[/C][C]1177.84084451648[/C][/ROW]
[ROW][C]176[/C][C]2665[/C][C]3208.46131470723[/C][C]-543.461314707234[/C][/ROW]
[ROW][C]177[/C][C]2639[/C][C]2877.95612379652[/C][C]-238.956123796524[/C][/ROW]
[ROW][C]178[/C][C]2226[/C][C]2732.63531221825[/C][C]-506.635312218246[/C][/ROW]
[ROW][C]179[/C][C]2586[/C][C]2424.52579999473[/C][C]161.474200005273[/C][/ROW]
[ROW][C]180[/C][C]2684[/C][C]2522.72609476391[/C][C]161.273905236092[/C][/ROW]
[ROW][C]181[/C][C]1185[/C][C]2620.80458056687[/C][C]-1435.80458056687[/C][/ROW]
[ROW][C]182[/C][C]1749[/C][C]1747.62215861957[/C][C]1.37784138042798[/C][/ROW]
[ROW][C]183[/C][C]2459[/C][C]1748.46009080749[/C][C]710.539909192507[/C][/ROW]
[ROW][C]184[/C][C]2618[/C][C]2180.5738806618[/C][C]437.426119338199[/C][/ROW]
[ROW][C]185[/C][C]2585[/C][C]2446.59392508591[/C][C]138.406074914092[/C][/ROW]
[ROW][C]186[/C][C]3310[/C][C]2530.76537386203[/C][C]779.23462613797[/C][/ROW]
[ROW][C]187[/C][C]3923[/C][C]3004.65575374069[/C][C]918.344246259314[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76789&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76789&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
2675464211
3703592.319336436536110.680663563464
4887659.62961750203227.370382497970
51139797.904577726963341.095422273037
610771005.3412518862871.6587481137188
713181048.92041306081269.079586939191
812601212.5607639833447.4392360166596
911201241.41086486824-121.410864868241
109631167.57502782521-204.575027825214
119961043.16302866873-47.1630286687339
129601014.48090287201-54.4809028720076
13530981.348422753527-451.348422753527
14883706.861550197083176.138449802917
15894813.97988668841280.020113311588
161045862.643999682343182.356000317657
171199973.543530279416225.456469720584
1812871110.65454729301176.345452706985
1915651217.89877229283347.101227707171
2015771428.98786810179148.012131898208
2110761519.00122615741-443.001226157408
229181249.59068880627-331.590688806269
2310081047.93430417995-39.9343041799452
2410631023.6483164385939.3516835614071
255441047.57998431660-503.579984316604
26635741.328565215998-106.328565215998
27804676.665006292938127.334993707062
28980754.103593485548225.896406514452
291018891.482157406555126.517842593445
301064968.42379536377395.5762046362272
3114041026.54832217914377.451677820856
3212861256.0949991214629.9050008785368
3311041274.28168096444-170.281680964439
349991170.72512973859-171.725129738587
359961066.29074728582-70.2907472858215
3610151023.54353378182-8.54353378181736
376151018.34779640880-403.347796408803
38722773.052433431-51.0524334309995
39832742.00497190807989.9950280919213
40977796.73531450212180.264685497880
411270906.363015099413363.636984900587
4214371127.50830707205309.491692927952
4315201315.72522019591204.27477980409
4417081439.95462396454268.045376035463
4511511602.96602106289-451.966021062889
469341328.10355701241-394.103557012409
4711591088.4300644858270.5699355141824
4812091131.3470658960077.6529341039975
496991178.57158237266-479.571582372661
50830886.920837235792-56.9208372357921
51996852.30451465992143.695485340080
521124939.692710526105184.307289473895
5314581051.77891472377406.221085276233
5412701298.82166405635-28.8216640563533
5517531281.29381189186471.70618810814
5622581568.16122919539689.838770804612
5712081987.68565250270-779.685652502702
5812411513.52098161060-272.520981610597
5912651347.78775163285-82.787751632847
6018281297.44050350678530.559496493218
618091620.09947284381-811.099472843807
629971126.83053379480-129.830533794796
6311641047.87428760641116.125712393590
6412051118.4959670261586.5040329738486
6515381171.10326612704366.896733872955
6615131394.23096959297118.769030407032
6713781466.46017893440-88.4601789343951
6820831412.66325257459670.33674742541
6913571820.32754934546-463.327549345464
7015361538.55558875411-2.55558875410725
7115261537.00141125111-11.0014112511135
7213761530.31091934776-154.310919347757
737791436.46696306522-657.466963065217
7410051036.62940652743-31.6294065274296
7511931017.39402995169175.605970048311
7615221124.18853967156397.811460328437
7715391366.11698808955172.883011910454
7815461471.2555348644274.7444651355763
7921161516.71127026016599.288729739837
8023261881.16782065879444.83217934121
8115962151.69184946771-555.69184946771
8213561813.74867701800-457.748677018004
8315531535.3694993419317.6305006580740
8416131546.0914621167566.9085378832497
858141586.78178999882-772.781789998824
8611501116.8156928287433.1843071712592
8712251136.9966799203288.003320079685
8816911190.51576824656500.484231753442
8917591494.88451002642264.115489973579
9017541655.5059527563798.4940472436256
9121001715.40496121728384.595038782721
9220621949.29586251293112.704137487069
9320122017.83671623802-5.83671623801547
9418972014.28712593171-117.287125931710
9519641942.9591345947221.0408654052826
9621861955.75510562247230.244894377528
979662095.77819597520-1129.77819597520
9815491408.70526503679140.294734963211
9915381494.0252996150843.9747003849222
10016121520.7684483041291.2315516958763
10120781576.25078089033501.749219109666
10221371881.38882285101255.611177148991
10329072036.83838037480870.161619625198
10422492566.02587621768-317.025876217678
10518832373.22706072259-490.227060722589
10617392075.09620226213-336.096202262134
10718281870.69979632319-42.6997963231918
10818681844.7319786446723.2680213553258
10911381858.88239125371-720.88239125371
11014301420.478836303679.52116369633404
11118091426.26911785635382.730882143646
11217631659.02633506224103.973664937756
11322001722.25776488067477.742235119332
11420672012.7959952039954.2040047960136
11525032045.76008016904457.239919830955
11621412323.82985791787-182.829857917875
11721032212.64215152542-109.642151525421
11819722145.96344001255-173.963440012548
11921812040.16783249299140.832167507013
12023442125.81470587412218.185294125880
1219702258.50376825537-1288.50376825537
12211991474.90211641411-275.902116414113
12317181307.11265433025410.887345669749
12416831556.99318298670126.006817013295
12520251633.62404149678391.375958503219
12620511871.63874904345179.361250956554
12724391980.71702726701458.28297273299
12823532259.4211360881593.578863911851
12922302316.33098311020-86.3309831102042
13018522263.82892402672-411.82892402672
13121472013.37577589174133.624224108262
13222862094.63914920652191.360850793480
13310072211.01496623851-1204.01496623851
13416651478.79505378645186.204946213545
13516421592.0353151102649.9646848897396
13615181622.42126397430-104.421263974298
13718311558.91762746697272.08237253303
13822071724.38411798601482.615882013993
13928222017.88624942567804.11375057433
14023932506.90683185786-113.906831857861
14123062437.63456133848-131.634561338483
14217852357.58119848034-572.581198480338
14320472009.3667935275737.6332064724272
14421712032.25337211772138.746627882280
14512122116.63192767536-904.631927675356
14613351566.48136521751-231.481365217507
14720111425.70631696095585.293683039052
14818601781.6518005062978.3481994937092
14919541829.29914159648124.700858403519
15021521905.13578331878246.864216681216
15128352055.26588983281779.734110167193
15222242529.46003018156-305.460030181560
15321822343.69496676553-161.694966765532
15419922245.36041301918-253.360413019177
15523892091.27965435611297.720345643892
15627242272.33784012237451.662159877635
1578912547.01551144460-1656.01551144460
15812471539.91213913568-292.912139135680
15920171361.778057012655.221942988001
16022571760.25030792611496.749692073887
16122552062.34789494969192.652105050310
16222552179.5089863390675.4910136609378
16330572225.41873411107831.581265888933
16433302731.14364516283598.856354837168
16518963095.33724740695-1199.33724740695
16620962365.96208271083-269.962082710828
16723742201.78504329624172.214956703763
16825352306.51731328995228.482686710049
16910412445.46871966848-1404.46871966848
17017281591.34315495886136.656845041142
17122011674.45081218725526.549187812754
17224551994.67091825990460.329081740102
17322042274.61936523302-70.6193652330248
17426602231.67230321278428.327696787218
17536702492.159155483521177.84084451648
17626653208.46131470723-543.461314707234
17726392877.95612379652-238.956123796524
17822262732.63531221825-506.635312218246
17925862424.52579999473161.474200005273
18026842522.72609476391161.273905236092
18111852620.80458056687-1435.80458056687
18217491747.622158619571.37784138042798
18324591748.46009080749710.539909192507
18426182180.5738806618437.426119338199
18525852446.59392508591138.406074914092
18633102530.76537386203779.23462613797
18739233004.65575374069918.344246259314







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1883563.145442367732697.561232636484428.72965209897
1893563.145442367732550.062556809194576.22832792627
1903563.145442367732421.463419260084704.82746547538
1913563.145442367732305.950648088534820.34023664693
1923563.145442367732200.192890134794926.09799460067
1933563.145442367732102.070301071495024.22058366397
1943563.145442367732010.134986063785116.15589867167
1953563.145442367731923.345946616825202.94493811864
1963563.145442367731840.924987507065285.36589722840
1973563.145442367731762.272264152225364.01862058324
1983563.145442367731686.91381677045439.37706796506
1993563.145442367731614.467423359165511.8234613763

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 3563.14544236773 & 2697.56123263648 & 4428.72965209897 \tabularnewline
189 & 3563.14544236773 & 2550.06255680919 & 4576.22832792627 \tabularnewline
190 & 3563.14544236773 & 2421.46341926008 & 4704.82746547538 \tabularnewline
191 & 3563.14544236773 & 2305.95064808853 & 4820.34023664693 \tabularnewline
192 & 3563.14544236773 & 2200.19289013479 & 4926.09799460067 \tabularnewline
193 & 3563.14544236773 & 2102.07030107149 & 5024.22058366397 \tabularnewline
194 & 3563.14544236773 & 2010.13498606378 & 5116.15589867167 \tabularnewline
195 & 3563.14544236773 & 1923.34594661682 & 5202.94493811864 \tabularnewline
196 & 3563.14544236773 & 1840.92498750706 & 5285.36589722840 \tabularnewline
197 & 3563.14544236773 & 1762.27226415222 & 5364.01862058324 \tabularnewline
198 & 3563.14544236773 & 1686.9138167704 & 5439.37706796506 \tabularnewline
199 & 3563.14544236773 & 1614.46742335916 & 5511.8234613763 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76789&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]3563.14544236773[/C][C]2697.56123263648[/C][C]4428.72965209897[/C][/ROW]
[ROW][C]189[/C][C]3563.14544236773[/C][C]2550.06255680919[/C][C]4576.22832792627[/C][/ROW]
[ROW][C]190[/C][C]3563.14544236773[/C][C]2421.46341926008[/C][C]4704.82746547538[/C][/ROW]
[ROW][C]191[/C][C]3563.14544236773[/C][C]2305.95064808853[/C][C]4820.34023664693[/C][/ROW]
[ROW][C]192[/C][C]3563.14544236773[/C][C]2200.19289013479[/C][C]4926.09799460067[/C][/ROW]
[ROW][C]193[/C][C]3563.14544236773[/C][C]2102.07030107149[/C][C]5024.22058366397[/C][/ROW]
[ROW][C]194[/C][C]3563.14544236773[/C][C]2010.13498606378[/C][C]5116.15589867167[/C][/ROW]
[ROW][C]195[/C][C]3563.14544236773[/C][C]1923.34594661682[/C][C]5202.94493811864[/C][/ROW]
[ROW][C]196[/C][C]3563.14544236773[/C][C]1840.92498750706[/C][C]5285.36589722840[/C][/ROW]
[ROW][C]197[/C][C]3563.14544236773[/C][C]1762.27226415222[/C][C]5364.01862058324[/C][/ROW]
[ROW][C]198[/C][C]3563.14544236773[/C][C]1686.9138167704[/C][C]5439.37706796506[/C][/ROW]
[ROW][C]199[/C][C]3563.14544236773[/C][C]1614.46742335916[/C][C]5511.8234613763[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76789&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76789&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
1883563.145442367732697.561232636484428.72965209897
1893563.145442367732550.062556809194576.22832792627
1903563.145442367732421.463419260084704.82746547538
1913563.145442367732305.950648088534820.34023664693
1923563.145442367732200.192890134794926.09799460067
1933563.145442367732102.070301071495024.22058366397
1943563.145442367732010.134986063785116.15589867167
1953563.145442367731923.345946616825202.94493811864
1963563.145442367731840.924987507065285.36589722840
1973563.145442367731762.272264152225364.01862058324
1983563.145442367731686.91381677045439.37706796506
1993563.145442367731614.467423359165511.8234613763



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