Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 02 Jun 2010 09:19:47 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jun/02/t1275470424o6h21cd0rcqlf91.htm/, Retrieved Thu, 18 Apr 2024 12:55:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77020, Retrieved Thu, 18 Apr 2024 12:55:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKEYWORD: KDGP2W62
Estimated Impact150
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10: eigen ...] [2010-06-02 09:19:47] [4c7bd8110f71133578d35fb221e548da] [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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77020&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77020&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77020&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.114137022903750
beta0
gamma0.419871625251202

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.114137022903750 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.419871625251202 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77020&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]0.114137022903750[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.419871625251202[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77020&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77020&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
alpha0.114137022903750
beta0
gamma0.419871625251202







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13530452.67601495726577.3239850427346
14883802.65262249767580.3473775023251
15894823.09931105249270.9006889475078
161045997.55111603269747.4488839673032
1711991169.9928684774129.0071315225916
1812871268.1630675342918.8369324657142
1915651429.50580368181135.494196318194
2015771387.20511929221189.794880707788
2110761263.89382002715-187.893820027150
229181082.55759020915-164.557590209149
2310081099.34322152171-91.343221521706
2410631053.318656243369.6813437566409
25544645.793625295511-101.793625295511
26635976.450829021697-341.450829021697
27804945.241042226482-141.241042226482
289801086.75675254648-106.756752546479
2910181234.73854636167-216.738546361674
3010641301.07727275124-237.077272751242
3114041476.60124429179-72.6012442917925
3212861430.74623631629-144.746236316289
3311041128.77057811830-24.7705781182970
34999974.73263049397824.2673695060219
359961040.30217185881-44.3021718588093
3610151037.22269048956-22.2226904895558
37615584.59325511776430.4067448822359
38722841.199223454416-119.199223454416
39832909.824348774502-77.824348774502
409771071.40463936801-94.404639368012
4112701179.8886783014990.111321698513
4214371273.68537170127163.314628298733
4315201556.08553238509-36.0855323850876
4417081487.56408104484220.435918955162
4511511271.89402031800-120.894020318003
469341125.12443140956-191.124431409564
4711591140.6054401737118.3945598262899
4812091152.8944121137356.1055878862699
49699728.780584783842-29.7805847838417
50830922.871200880342-92.871200880342
519961009.89066032198-13.8906603219818
5211241172.60113378353-48.6011337835325
5314581354.9435254869103.056474513101
5412701477.44561686116-207.445616861164
5517531643.36167083334109.638329166662
5622581686.88553473281571.114465267189
5712081384.28364255664-176.283642556638
5812411205.0699349976835.9300650023215
5912651324.39659028932-59.3965902893208
6018281341.83328086323486.166719136771
61809934.860098048327-125.860098048327
629971094.51801013653-97.5180101365274
6311641210.38380819662-46.3838081966187
6412051356.47509404465-151.475094044655
6515381583.48461267835-45.4846126783498
6615131573.54180867131-60.5418086713128
6713781874.16399633978-496.163996339783
6820832020.1888481365562.8111518634519
6913571381.57695356408-24.5769535640814
7015361298.61121442000237.388785580003
7115261405.47514014156120.524859858439
7213761646.36910834542-270.369108345416
73779925.404582342507-146.404582342507
7410051093.25941170233-88.2594117023268
7511931229.20125998990-36.2012599899022
7615221337.36618148673184.633818513273
7715391642.16119548949-103.161195489493
7815461620.03485313316-74.0348531331554
7921161757.08786630969358.912133690309
8023262208.61865727024117.381342729755
8115961543.7313471714052.2686528285965
8213561566.97436020357-210.974360203574
8315531579.19606277105-26.1960627710478
8416131657.95122743416-44.9512274341603
858141008.82367502461-194.823675024606
8611501192.77911554965-42.77911554965
8712251353.27491274939-128.274912749387
8816911533.07014816688157.929851833121
8917591727.7722615463131.2277384536931
9017541731.8181780105322.1818219894669
9121002040.8871570551259.1128429448781
9220622368.36267904443-306.362679044426
9320121630.89190564532381.108094354682
9418971593.75476970934303.245230290662
9519641733.39601813616230.603981863839
9621861834.48561573664351.514384263362
979661174.86460169494-208.864601694942
9815491413.77023313843135.229766861571
9915381562.78338121407-24.7833812140684
10016121860.84433005452-248.844330054518
10120781961.99175941998116.008240580019
10221371972.34965287524164.650347124759
10329072311.41601150227595.583988497729
10422492564.18459742042-315.184597420418
10518832081.41079618555-198.410796185548
10617391949.16810612419-210.168106124190
10718282003.19106486497-175.191064864973
10818682102.93689429035-234.936894290347
10911381167.94782624310-29.9478262431021
11014301555.25994846124-125.259948461239
11118091615.02488905196193.975110948045
11217631854.71509601973-91.7150960197341
11322002109.5032379034290.4967620965781
11420672135.04169680851-68.041696808506
11525032607.83449802424-104.834498024243
11621412441.90018612108-300.900186121075
11721032004.1906318922698.8093681077444
11819721901.4986500545870.5013499454151
11921812000.56605093475180.433949065248
12023442118.67947546554225.320524534457
1219701312.46824207477-342.468242074775
12211991628.65899181663-429.658991816633
12317181772.41980608619-54.4198060861927
12416831877.49684765174-194.496847651745
12520252188.32725523786-163.327255237864
12620512125.92681834309-74.9268183430931
12724392584.24873667488-145.248736674878
12823532340.7752806082712.2247193917328
12922302087.47633113388142.523668866122
13018521979.24463809701-127.244638097015
13121472096.6311910129850.368808987022
13222862216.5948723191869.4051276808173
13310071181.3996102259-174.399610225901
13416651484.34272479559180.657275204408
13516421837.33295861957-195.332958619569
13615181874.22511504262-356.225115042616
13718312178.18982991821-347.189829918213
13822072127.6842961786579.3157038213512
13928222577.45484872541244.545151274589
14023932437.04335824424-44.0433582442365
14123062225.7866664133080.2133335866952
14217852010.10307859716-225.103078597165
14320472182.38345615696-135.383456156964
14421712288.22646144489-117.226461444886
14512121141.0467632580570.9532367419451
14613351604.05667822492-269.056678224918
14720111765.86881105628245.131188943724
14818601793.1906010604366.8093989395675
14919542148.79987875612-194.799878756117
15021522274.32587109784-122.325871097839
15128352762.5385373887072.4614626112966
15222242495.14579797863-271.145797978633
15321822304.18542824719-122.185428247193
15419921951.8385971839440.161402816062
15523892187.76657237253201.233427627467
15627242338.78349772118385.216502278822
1578911318.94434295805-427.944342958047
15812471598.54531808404-351.545318084043
15920171942.1939662557474.8060337442596
16022571883.7487871632373.251212836802
16122552177.0291831332777.9708168667294
16222552360.64502556622-105.645025566216
16330572923.21249489815133.787505101849
16433302535.01504391593794.984956084075
16518962521.1452845149-625.1452845149
16620962171.77681011675-75.7768101167508
16723742454.38247757626-80.3824775762628
16825352641.68887248227-106.688872482273
16910411263.25096069443-222.250960694430
17017281594.74568622099133.254313779010
17122012152.308764047848.6912359521993
17224552201.88922440581253.110775594188
17322042371.62798087100-167.627980871004
17426602458.91622867826201.083771321742
17536703145.54943493606524.450565063941
17626653047.87265338855-382.872653388547
17726392371.35009653323267.64990346677
17822262328.21951217863-102.219512178628
17925862606.09401619437-20.0940161943713
18026842790.49692647589-106.496926475895
18111851369.09775112480-184.097751124797
18217491837.17690502338-88.1769050233779
18324592338.01335352949120.986646470514
18426182471.87898455025146.121015449751
18525852472.91300304771112.086996952294
18633102729.26895289113580.731047108874
18739233579.50983655229343.490163447706

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 530 & 452.676014957265 & 77.3239850427346 \tabularnewline
14 & 883 & 802.652622497675 & 80.3473775023251 \tabularnewline
15 & 894 & 823.099311052492 & 70.9006889475078 \tabularnewline
16 & 1045 & 997.551116032697 & 47.4488839673032 \tabularnewline
17 & 1199 & 1169.99286847741 & 29.0071315225916 \tabularnewline
18 & 1287 & 1268.16306753429 & 18.8369324657142 \tabularnewline
19 & 1565 & 1429.50580368181 & 135.494196318194 \tabularnewline
20 & 1577 & 1387.20511929221 & 189.794880707788 \tabularnewline
21 & 1076 & 1263.89382002715 & -187.893820027150 \tabularnewline
22 & 918 & 1082.55759020915 & -164.557590209149 \tabularnewline
23 & 1008 & 1099.34322152171 & -91.343221521706 \tabularnewline
24 & 1063 & 1053.31865624336 & 9.6813437566409 \tabularnewline
25 & 544 & 645.793625295511 & -101.793625295511 \tabularnewline
26 & 635 & 976.450829021697 & -341.450829021697 \tabularnewline
27 & 804 & 945.241042226482 & -141.241042226482 \tabularnewline
28 & 980 & 1086.75675254648 & -106.756752546479 \tabularnewline
29 & 1018 & 1234.73854636167 & -216.738546361674 \tabularnewline
30 & 1064 & 1301.07727275124 & -237.077272751242 \tabularnewline
31 & 1404 & 1476.60124429179 & -72.6012442917925 \tabularnewline
32 & 1286 & 1430.74623631629 & -144.746236316289 \tabularnewline
33 & 1104 & 1128.77057811830 & -24.7705781182970 \tabularnewline
34 & 999 & 974.732630493978 & 24.2673695060219 \tabularnewline
35 & 996 & 1040.30217185881 & -44.3021718588093 \tabularnewline
36 & 1015 & 1037.22269048956 & -22.2226904895558 \tabularnewline
37 & 615 & 584.593255117764 & 30.4067448822359 \tabularnewline
38 & 722 & 841.199223454416 & -119.199223454416 \tabularnewline
39 & 832 & 909.824348774502 & -77.824348774502 \tabularnewline
40 & 977 & 1071.40463936801 & -94.404639368012 \tabularnewline
41 & 1270 & 1179.88867830149 & 90.111321698513 \tabularnewline
42 & 1437 & 1273.68537170127 & 163.314628298733 \tabularnewline
43 & 1520 & 1556.08553238509 & -36.0855323850876 \tabularnewline
44 & 1708 & 1487.56408104484 & 220.435918955162 \tabularnewline
45 & 1151 & 1271.89402031800 & -120.894020318003 \tabularnewline
46 & 934 & 1125.12443140956 & -191.124431409564 \tabularnewline
47 & 1159 & 1140.60544017371 & 18.3945598262899 \tabularnewline
48 & 1209 & 1152.89441211373 & 56.1055878862699 \tabularnewline
49 & 699 & 728.780584783842 & -29.7805847838417 \tabularnewline
50 & 830 & 922.871200880342 & -92.871200880342 \tabularnewline
51 & 996 & 1009.89066032198 & -13.8906603219818 \tabularnewline
52 & 1124 & 1172.60113378353 & -48.6011337835325 \tabularnewline
53 & 1458 & 1354.9435254869 & 103.056474513101 \tabularnewline
54 & 1270 & 1477.44561686116 & -207.445616861164 \tabularnewline
55 & 1753 & 1643.36167083334 & 109.638329166662 \tabularnewline
56 & 2258 & 1686.88553473281 & 571.114465267189 \tabularnewline
57 & 1208 & 1384.28364255664 & -176.283642556638 \tabularnewline
58 & 1241 & 1205.06993499768 & 35.9300650023215 \tabularnewline
59 & 1265 & 1324.39659028932 & -59.3965902893208 \tabularnewline
60 & 1828 & 1341.83328086323 & 486.166719136771 \tabularnewline
61 & 809 & 934.860098048327 & -125.860098048327 \tabularnewline
62 & 997 & 1094.51801013653 & -97.5180101365274 \tabularnewline
63 & 1164 & 1210.38380819662 & -46.3838081966187 \tabularnewline
64 & 1205 & 1356.47509404465 & -151.475094044655 \tabularnewline
65 & 1538 & 1583.48461267835 & -45.4846126783498 \tabularnewline
66 & 1513 & 1573.54180867131 & -60.5418086713128 \tabularnewline
67 & 1378 & 1874.16399633978 & -496.163996339783 \tabularnewline
68 & 2083 & 2020.18884813655 & 62.8111518634519 \tabularnewline
69 & 1357 & 1381.57695356408 & -24.5769535640814 \tabularnewline
70 & 1536 & 1298.61121442000 & 237.388785580003 \tabularnewline
71 & 1526 & 1405.47514014156 & 120.524859858439 \tabularnewline
72 & 1376 & 1646.36910834542 & -270.369108345416 \tabularnewline
73 & 779 & 925.404582342507 & -146.404582342507 \tabularnewline
74 & 1005 & 1093.25941170233 & -88.2594117023268 \tabularnewline
75 & 1193 & 1229.20125998990 & -36.2012599899022 \tabularnewline
76 & 1522 & 1337.36618148673 & 184.633818513273 \tabularnewline
77 & 1539 & 1642.16119548949 & -103.161195489493 \tabularnewline
78 & 1546 & 1620.03485313316 & -74.0348531331554 \tabularnewline
79 & 2116 & 1757.08786630969 & 358.912133690309 \tabularnewline
80 & 2326 & 2208.61865727024 & 117.381342729755 \tabularnewline
81 & 1596 & 1543.73134717140 & 52.2686528285965 \tabularnewline
82 & 1356 & 1566.97436020357 & -210.974360203574 \tabularnewline
83 & 1553 & 1579.19606277105 & -26.1960627710478 \tabularnewline
84 & 1613 & 1657.95122743416 & -44.9512274341603 \tabularnewline
85 & 814 & 1008.82367502461 & -194.823675024606 \tabularnewline
86 & 1150 & 1192.77911554965 & -42.77911554965 \tabularnewline
87 & 1225 & 1353.27491274939 & -128.274912749387 \tabularnewline
88 & 1691 & 1533.07014816688 & 157.929851833121 \tabularnewline
89 & 1759 & 1727.77226154631 & 31.2277384536931 \tabularnewline
90 & 1754 & 1731.81817801053 & 22.1818219894669 \tabularnewline
91 & 2100 & 2040.88715705512 & 59.1128429448781 \tabularnewline
92 & 2062 & 2368.36267904443 & -306.362679044426 \tabularnewline
93 & 2012 & 1630.89190564532 & 381.108094354682 \tabularnewline
94 & 1897 & 1593.75476970934 & 303.245230290662 \tabularnewline
95 & 1964 & 1733.39601813616 & 230.603981863839 \tabularnewline
96 & 2186 & 1834.48561573664 & 351.514384263362 \tabularnewline
97 & 966 & 1174.86460169494 & -208.864601694942 \tabularnewline
98 & 1549 & 1413.77023313843 & 135.229766861571 \tabularnewline
99 & 1538 & 1562.78338121407 & -24.7833812140684 \tabularnewline
100 & 1612 & 1860.84433005452 & -248.844330054518 \tabularnewline
101 & 2078 & 1961.99175941998 & 116.008240580019 \tabularnewline
102 & 2137 & 1972.34965287524 & 164.650347124759 \tabularnewline
103 & 2907 & 2311.41601150227 & 595.583988497729 \tabularnewline
104 & 2249 & 2564.18459742042 & -315.184597420418 \tabularnewline
105 & 1883 & 2081.41079618555 & -198.410796185548 \tabularnewline
106 & 1739 & 1949.16810612419 & -210.168106124190 \tabularnewline
107 & 1828 & 2003.19106486497 & -175.191064864973 \tabularnewline
108 & 1868 & 2102.93689429035 & -234.936894290347 \tabularnewline
109 & 1138 & 1167.94782624310 & -29.9478262431021 \tabularnewline
110 & 1430 & 1555.25994846124 & -125.259948461239 \tabularnewline
111 & 1809 & 1615.02488905196 & 193.975110948045 \tabularnewline
112 & 1763 & 1854.71509601973 & -91.7150960197341 \tabularnewline
113 & 2200 & 2109.50323790342 & 90.4967620965781 \tabularnewline
114 & 2067 & 2135.04169680851 & -68.041696808506 \tabularnewline
115 & 2503 & 2607.83449802424 & -104.834498024243 \tabularnewline
116 & 2141 & 2441.90018612108 & -300.900186121075 \tabularnewline
117 & 2103 & 2004.19063189226 & 98.8093681077444 \tabularnewline
118 & 1972 & 1901.49865005458 & 70.5013499454151 \tabularnewline
119 & 2181 & 2000.56605093475 & 180.433949065248 \tabularnewline
120 & 2344 & 2118.67947546554 & 225.320524534457 \tabularnewline
121 & 970 & 1312.46824207477 & -342.468242074775 \tabularnewline
122 & 1199 & 1628.65899181663 & -429.658991816633 \tabularnewline
123 & 1718 & 1772.41980608619 & -54.4198060861927 \tabularnewline
124 & 1683 & 1877.49684765174 & -194.496847651745 \tabularnewline
125 & 2025 & 2188.32725523786 & -163.327255237864 \tabularnewline
126 & 2051 & 2125.92681834309 & -74.9268183430931 \tabularnewline
127 & 2439 & 2584.24873667488 & -145.248736674878 \tabularnewline
128 & 2353 & 2340.77528060827 & 12.2247193917328 \tabularnewline
129 & 2230 & 2087.47633113388 & 142.523668866122 \tabularnewline
130 & 1852 & 1979.24463809701 & -127.244638097015 \tabularnewline
131 & 2147 & 2096.63119101298 & 50.368808987022 \tabularnewline
132 & 2286 & 2216.59487231918 & 69.4051276808173 \tabularnewline
133 & 1007 & 1181.3996102259 & -174.399610225901 \tabularnewline
134 & 1665 & 1484.34272479559 & 180.657275204408 \tabularnewline
135 & 1642 & 1837.33295861957 & -195.332958619569 \tabularnewline
136 & 1518 & 1874.22511504262 & -356.225115042616 \tabularnewline
137 & 1831 & 2178.18982991821 & -347.189829918213 \tabularnewline
138 & 2207 & 2127.68429617865 & 79.3157038213512 \tabularnewline
139 & 2822 & 2577.45484872541 & 244.545151274589 \tabularnewline
140 & 2393 & 2437.04335824424 & -44.0433582442365 \tabularnewline
141 & 2306 & 2225.78666641330 & 80.2133335866952 \tabularnewline
142 & 1785 & 2010.10307859716 & -225.103078597165 \tabularnewline
143 & 2047 & 2182.38345615696 & -135.383456156964 \tabularnewline
144 & 2171 & 2288.22646144489 & -117.226461444886 \tabularnewline
145 & 1212 & 1141.04676325805 & 70.9532367419451 \tabularnewline
146 & 1335 & 1604.05667822492 & -269.056678224918 \tabularnewline
147 & 2011 & 1765.86881105628 & 245.131188943724 \tabularnewline
148 & 1860 & 1793.19060106043 & 66.8093989395675 \tabularnewline
149 & 1954 & 2148.79987875612 & -194.799878756117 \tabularnewline
150 & 2152 & 2274.32587109784 & -122.325871097839 \tabularnewline
151 & 2835 & 2762.53853738870 & 72.4614626112966 \tabularnewline
152 & 2224 & 2495.14579797863 & -271.145797978633 \tabularnewline
153 & 2182 & 2304.18542824719 & -122.185428247193 \tabularnewline
154 & 1992 & 1951.83859718394 & 40.161402816062 \tabularnewline
155 & 2389 & 2187.76657237253 & 201.233427627467 \tabularnewline
156 & 2724 & 2338.78349772118 & 385.216502278822 \tabularnewline
157 & 891 & 1318.94434295805 & -427.944342958047 \tabularnewline
158 & 1247 & 1598.54531808404 & -351.545318084043 \tabularnewline
159 & 2017 & 1942.19396625574 & 74.8060337442596 \tabularnewline
160 & 2257 & 1883.7487871632 & 373.251212836802 \tabularnewline
161 & 2255 & 2177.02918313327 & 77.9708168667294 \tabularnewline
162 & 2255 & 2360.64502556622 & -105.645025566216 \tabularnewline
163 & 3057 & 2923.21249489815 & 133.787505101849 \tabularnewline
164 & 3330 & 2535.01504391593 & 794.984956084075 \tabularnewline
165 & 1896 & 2521.1452845149 & -625.1452845149 \tabularnewline
166 & 2096 & 2171.77681011675 & -75.7768101167508 \tabularnewline
167 & 2374 & 2454.38247757626 & -80.3824775762628 \tabularnewline
168 & 2535 & 2641.68887248227 & -106.688872482273 \tabularnewline
169 & 1041 & 1263.25096069443 & -222.250960694430 \tabularnewline
170 & 1728 & 1594.74568622099 & 133.254313779010 \tabularnewline
171 & 2201 & 2152.3087640478 & 48.6912359521993 \tabularnewline
172 & 2455 & 2201.88922440581 & 253.110775594188 \tabularnewline
173 & 2204 & 2371.62798087100 & -167.627980871004 \tabularnewline
174 & 2660 & 2458.91622867826 & 201.083771321742 \tabularnewline
175 & 3670 & 3145.54943493606 & 524.450565063941 \tabularnewline
176 & 2665 & 3047.87265338855 & -382.872653388547 \tabularnewline
177 & 2639 & 2371.35009653323 & 267.64990346677 \tabularnewline
178 & 2226 & 2328.21951217863 & -102.219512178628 \tabularnewline
179 & 2586 & 2606.09401619437 & -20.0940161943713 \tabularnewline
180 & 2684 & 2790.49692647589 & -106.496926475895 \tabularnewline
181 & 1185 & 1369.09775112480 & -184.097751124797 \tabularnewline
182 & 1749 & 1837.17690502338 & -88.1769050233779 \tabularnewline
183 & 2459 & 2338.01335352949 & 120.986646470514 \tabularnewline
184 & 2618 & 2471.87898455025 & 146.121015449751 \tabularnewline
185 & 2585 & 2472.91300304771 & 112.086996952294 \tabularnewline
186 & 3310 & 2729.26895289113 & 580.731047108874 \tabularnewline
187 & 3923 & 3579.50983655229 & 343.490163447706 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77020&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]452.676014957265[/C][C]77.3239850427346[/C][/ROW]
[ROW][C]14[/C][C]883[/C][C]802.652622497675[/C][C]80.3473775023251[/C][/ROW]
[ROW][C]15[/C][C]894[/C][C]823.099311052492[/C][C]70.9006889475078[/C][/ROW]
[ROW][C]16[/C][C]1045[/C][C]997.551116032697[/C][C]47.4488839673032[/C][/ROW]
[ROW][C]17[/C][C]1199[/C][C]1169.99286847741[/C][C]29.0071315225916[/C][/ROW]
[ROW][C]18[/C][C]1287[/C][C]1268.16306753429[/C][C]18.8369324657142[/C][/ROW]
[ROW][C]19[/C][C]1565[/C][C]1429.50580368181[/C][C]135.494196318194[/C][/ROW]
[ROW][C]20[/C][C]1577[/C][C]1387.20511929221[/C][C]189.794880707788[/C][/ROW]
[ROW][C]21[/C][C]1076[/C][C]1263.89382002715[/C][C]-187.893820027150[/C][/ROW]
[ROW][C]22[/C][C]918[/C][C]1082.55759020915[/C][C]-164.557590209149[/C][/ROW]
[ROW][C]23[/C][C]1008[/C][C]1099.34322152171[/C][C]-91.343221521706[/C][/ROW]
[ROW][C]24[/C][C]1063[/C][C]1053.31865624336[/C][C]9.6813437566409[/C][/ROW]
[ROW][C]25[/C][C]544[/C][C]645.793625295511[/C][C]-101.793625295511[/C][/ROW]
[ROW][C]26[/C][C]635[/C][C]976.450829021697[/C][C]-341.450829021697[/C][/ROW]
[ROW][C]27[/C][C]804[/C][C]945.241042226482[/C][C]-141.241042226482[/C][/ROW]
[ROW][C]28[/C][C]980[/C][C]1086.75675254648[/C][C]-106.756752546479[/C][/ROW]
[ROW][C]29[/C][C]1018[/C][C]1234.73854636167[/C][C]-216.738546361674[/C][/ROW]
[ROW][C]30[/C][C]1064[/C][C]1301.07727275124[/C][C]-237.077272751242[/C][/ROW]
[ROW][C]31[/C][C]1404[/C][C]1476.60124429179[/C][C]-72.6012442917925[/C][/ROW]
[ROW][C]32[/C][C]1286[/C][C]1430.74623631629[/C][C]-144.746236316289[/C][/ROW]
[ROW][C]33[/C][C]1104[/C][C]1128.77057811830[/C][C]-24.7705781182970[/C][/ROW]
[ROW][C]34[/C][C]999[/C][C]974.732630493978[/C][C]24.2673695060219[/C][/ROW]
[ROW][C]35[/C][C]996[/C][C]1040.30217185881[/C][C]-44.3021718588093[/C][/ROW]
[ROW][C]36[/C][C]1015[/C][C]1037.22269048956[/C][C]-22.2226904895558[/C][/ROW]
[ROW][C]37[/C][C]615[/C][C]584.593255117764[/C][C]30.4067448822359[/C][/ROW]
[ROW][C]38[/C][C]722[/C][C]841.199223454416[/C][C]-119.199223454416[/C][/ROW]
[ROW][C]39[/C][C]832[/C][C]909.824348774502[/C][C]-77.824348774502[/C][/ROW]
[ROW][C]40[/C][C]977[/C][C]1071.40463936801[/C][C]-94.404639368012[/C][/ROW]
[ROW][C]41[/C][C]1270[/C][C]1179.88867830149[/C][C]90.111321698513[/C][/ROW]
[ROW][C]42[/C][C]1437[/C][C]1273.68537170127[/C][C]163.314628298733[/C][/ROW]
[ROW][C]43[/C][C]1520[/C][C]1556.08553238509[/C][C]-36.0855323850876[/C][/ROW]
[ROW][C]44[/C][C]1708[/C][C]1487.56408104484[/C][C]220.435918955162[/C][/ROW]
[ROW][C]45[/C][C]1151[/C][C]1271.89402031800[/C][C]-120.894020318003[/C][/ROW]
[ROW][C]46[/C][C]934[/C][C]1125.12443140956[/C][C]-191.124431409564[/C][/ROW]
[ROW][C]47[/C][C]1159[/C][C]1140.60544017371[/C][C]18.3945598262899[/C][/ROW]
[ROW][C]48[/C][C]1209[/C][C]1152.89441211373[/C][C]56.1055878862699[/C][/ROW]
[ROW][C]49[/C][C]699[/C][C]728.780584783842[/C][C]-29.7805847838417[/C][/ROW]
[ROW][C]50[/C][C]830[/C][C]922.871200880342[/C][C]-92.871200880342[/C][/ROW]
[ROW][C]51[/C][C]996[/C][C]1009.89066032198[/C][C]-13.8906603219818[/C][/ROW]
[ROW][C]52[/C][C]1124[/C][C]1172.60113378353[/C][C]-48.6011337835325[/C][/ROW]
[ROW][C]53[/C][C]1458[/C][C]1354.9435254869[/C][C]103.056474513101[/C][/ROW]
[ROW][C]54[/C][C]1270[/C][C]1477.44561686116[/C][C]-207.445616861164[/C][/ROW]
[ROW][C]55[/C][C]1753[/C][C]1643.36167083334[/C][C]109.638329166662[/C][/ROW]
[ROW][C]56[/C][C]2258[/C][C]1686.88553473281[/C][C]571.114465267189[/C][/ROW]
[ROW][C]57[/C][C]1208[/C][C]1384.28364255664[/C][C]-176.283642556638[/C][/ROW]
[ROW][C]58[/C][C]1241[/C][C]1205.06993499768[/C][C]35.9300650023215[/C][/ROW]
[ROW][C]59[/C][C]1265[/C][C]1324.39659028932[/C][C]-59.3965902893208[/C][/ROW]
[ROW][C]60[/C][C]1828[/C][C]1341.83328086323[/C][C]486.166719136771[/C][/ROW]
[ROW][C]61[/C][C]809[/C][C]934.860098048327[/C][C]-125.860098048327[/C][/ROW]
[ROW][C]62[/C][C]997[/C][C]1094.51801013653[/C][C]-97.5180101365274[/C][/ROW]
[ROW][C]63[/C][C]1164[/C][C]1210.38380819662[/C][C]-46.3838081966187[/C][/ROW]
[ROW][C]64[/C][C]1205[/C][C]1356.47509404465[/C][C]-151.475094044655[/C][/ROW]
[ROW][C]65[/C][C]1538[/C][C]1583.48461267835[/C][C]-45.4846126783498[/C][/ROW]
[ROW][C]66[/C][C]1513[/C][C]1573.54180867131[/C][C]-60.5418086713128[/C][/ROW]
[ROW][C]67[/C][C]1378[/C][C]1874.16399633978[/C][C]-496.163996339783[/C][/ROW]
[ROW][C]68[/C][C]2083[/C][C]2020.18884813655[/C][C]62.8111518634519[/C][/ROW]
[ROW][C]69[/C][C]1357[/C][C]1381.57695356408[/C][C]-24.5769535640814[/C][/ROW]
[ROW][C]70[/C][C]1536[/C][C]1298.61121442000[/C][C]237.388785580003[/C][/ROW]
[ROW][C]71[/C][C]1526[/C][C]1405.47514014156[/C][C]120.524859858439[/C][/ROW]
[ROW][C]72[/C][C]1376[/C][C]1646.36910834542[/C][C]-270.369108345416[/C][/ROW]
[ROW][C]73[/C][C]779[/C][C]925.404582342507[/C][C]-146.404582342507[/C][/ROW]
[ROW][C]74[/C][C]1005[/C][C]1093.25941170233[/C][C]-88.2594117023268[/C][/ROW]
[ROW][C]75[/C][C]1193[/C][C]1229.20125998990[/C][C]-36.2012599899022[/C][/ROW]
[ROW][C]76[/C][C]1522[/C][C]1337.36618148673[/C][C]184.633818513273[/C][/ROW]
[ROW][C]77[/C][C]1539[/C][C]1642.16119548949[/C][C]-103.161195489493[/C][/ROW]
[ROW][C]78[/C][C]1546[/C][C]1620.03485313316[/C][C]-74.0348531331554[/C][/ROW]
[ROW][C]79[/C][C]2116[/C][C]1757.08786630969[/C][C]358.912133690309[/C][/ROW]
[ROW][C]80[/C][C]2326[/C][C]2208.61865727024[/C][C]117.381342729755[/C][/ROW]
[ROW][C]81[/C][C]1596[/C][C]1543.73134717140[/C][C]52.2686528285965[/C][/ROW]
[ROW][C]82[/C][C]1356[/C][C]1566.97436020357[/C][C]-210.974360203574[/C][/ROW]
[ROW][C]83[/C][C]1553[/C][C]1579.19606277105[/C][C]-26.1960627710478[/C][/ROW]
[ROW][C]84[/C][C]1613[/C][C]1657.95122743416[/C][C]-44.9512274341603[/C][/ROW]
[ROW][C]85[/C][C]814[/C][C]1008.82367502461[/C][C]-194.823675024606[/C][/ROW]
[ROW][C]86[/C][C]1150[/C][C]1192.77911554965[/C][C]-42.77911554965[/C][/ROW]
[ROW][C]87[/C][C]1225[/C][C]1353.27491274939[/C][C]-128.274912749387[/C][/ROW]
[ROW][C]88[/C][C]1691[/C][C]1533.07014816688[/C][C]157.929851833121[/C][/ROW]
[ROW][C]89[/C][C]1759[/C][C]1727.77226154631[/C][C]31.2277384536931[/C][/ROW]
[ROW][C]90[/C][C]1754[/C][C]1731.81817801053[/C][C]22.1818219894669[/C][/ROW]
[ROW][C]91[/C][C]2100[/C][C]2040.88715705512[/C][C]59.1128429448781[/C][/ROW]
[ROW][C]92[/C][C]2062[/C][C]2368.36267904443[/C][C]-306.362679044426[/C][/ROW]
[ROW][C]93[/C][C]2012[/C][C]1630.89190564532[/C][C]381.108094354682[/C][/ROW]
[ROW][C]94[/C][C]1897[/C][C]1593.75476970934[/C][C]303.245230290662[/C][/ROW]
[ROW][C]95[/C][C]1964[/C][C]1733.39601813616[/C][C]230.603981863839[/C][/ROW]
[ROW][C]96[/C][C]2186[/C][C]1834.48561573664[/C][C]351.514384263362[/C][/ROW]
[ROW][C]97[/C][C]966[/C][C]1174.86460169494[/C][C]-208.864601694942[/C][/ROW]
[ROW][C]98[/C][C]1549[/C][C]1413.77023313843[/C][C]135.229766861571[/C][/ROW]
[ROW][C]99[/C][C]1538[/C][C]1562.78338121407[/C][C]-24.7833812140684[/C][/ROW]
[ROW][C]100[/C][C]1612[/C][C]1860.84433005452[/C][C]-248.844330054518[/C][/ROW]
[ROW][C]101[/C][C]2078[/C][C]1961.99175941998[/C][C]116.008240580019[/C][/ROW]
[ROW][C]102[/C][C]2137[/C][C]1972.34965287524[/C][C]164.650347124759[/C][/ROW]
[ROW][C]103[/C][C]2907[/C][C]2311.41601150227[/C][C]595.583988497729[/C][/ROW]
[ROW][C]104[/C][C]2249[/C][C]2564.18459742042[/C][C]-315.184597420418[/C][/ROW]
[ROW][C]105[/C][C]1883[/C][C]2081.41079618555[/C][C]-198.410796185548[/C][/ROW]
[ROW][C]106[/C][C]1739[/C][C]1949.16810612419[/C][C]-210.168106124190[/C][/ROW]
[ROW][C]107[/C][C]1828[/C][C]2003.19106486497[/C][C]-175.191064864973[/C][/ROW]
[ROW][C]108[/C][C]1868[/C][C]2102.93689429035[/C][C]-234.936894290347[/C][/ROW]
[ROW][C]109[/C][C]1138[/C][C]1167.94782624310[/C][C]-29.9478262431021[/C][/ROW]
[ROW][C]110[/C][C]1430[/C][C]1555.25994846124[/C][C]-125.259948461239[/C][/ROW]
[ROW][C]111[/C][C]1809[/C][C]1615.02488905196[/C][C]193.975110948045[/C][/ROW]
[ROW][C]112[/C][C]1763[/C][C]1854.71509601973[/C][C]-91.7150960197341[/C][/ROW]
[ROW][C]113[/C][C]2200[/C][C]2109.50323790342[/C][C]90.4967620965781[/C][/ROW]
[ROW][C]114[/C][C]2067[/C][C]2135.04169680851[/C][C]-68.041696808506[/C][/ROW]
[ROW][C]115[/C][C]2503[/C][C]2607.83449802424[/C][C]-104.834498024243[/C][/ROW]
[ROW][C]116[/C][C]2141[/C][C]2441.90018612108[/C][C]-300.900186121075[/C][/ROW]
[ROW][C]117[/C][C]2103[/C][C]2004.19063189226[/C][C]98.8093681077444[/C][/ROW]
[ROW][C]118[/C][C]1972[/C][C]1901.49865005458[/C][C]70.5013499454151[/C][/ROW]
[ROW][C]119[/C][C]2181[/C][C]2000.56605093475[/C][C]180.433949065248[/C][/ROW]
[ROW][C]120[/C][C]2344[/C][C]2118.67947546554[/C][C]225.320524534457[/C][/ROW]
[ROW][C]121[/C][C]970[/C][C]1312.46824207477[/C][C]-342.468242074775[/C][/ROW]
[ROW][C]122[/C][C]1199[/C][C]1628.65899181663[/C][C]-429.658991816633[/C][/ROW]
[ROW][C]123[/C][C]1718[/C][C]1772.41980608619[/C][C]-54.4198060861927[/C][/ROW]
[ROW][C]124[/C][C]1683[/C][C]1877.49684765174[/C][C]-194.496847651745[/C][/ROW]
[ROW][C]125[/C][C]2025[/C][C]2188.32725523786[/C][C]-163.327255237864[/C][/ROW]
[ROW][C]126[/C][C]2051[/C][C]2125.92681834309[/C][C]-74.9268183430931[/C][/ROW]
[ROW][C]127[/C][C]2439[/C][C]2584.24873667488[/C][C]-145.248736674878[/C][/ROW]
[ROW][C]128[/C][C]2353[/C][C]2340.77528060827[/C][C]12.2247193917328[/C][/ROW]
[ROW][C]129[/C][C]2230[/C][C]2087.47633113388[/C][C]142.523668866122[/C][/ROW]
[ROW][C]130[/C][C]1852[/C][C]1979.24463809701[/C][C]-127.244638097015[/C][/ROW]
[ROW][C]131[/C][C]2147[/C][C]2096.63119101298[/C][C]50.368808987022[/C][/ROW]
[ROW][C]132[/C][C]2286[/C][C]2216.59487231918[/C][C]69.4051276808173[/C][/ROW]
[ROW][C]133[/C][C]1007[/C][C]1181.3996102259[/C][C]-174.399610225901[/C][/ROW]
[ROW][C]134[/C][C]1665[/C][C]1484.34272479559[/C][C]180.657275204408[/C][/ROW]
[ROW][C]135[/C][C]1642[/C][C]1837.33295861957[/C][C]-195.332958619569[/C][/ROW]
[ROW][C]136[/C][C]1518[/C][C]1874.22511504262[/C][C]-356.225115042616[/C][/ROW]
[ROW][C]137[/C][C]1831[/C][C]2178.18982991821[/C][C]-347.189829918213[/C][/ROW]
[ROW][C]138[/C][C]2207[/C][C]2127.68429617865[/C][C]79.3157038213512[/C][/ROW]
[ROW][C]139[/C][C]2822[/C][C]2577.45484872541[/C][C]244.545151274589[/C][/ROW]
[ROW][C]140[/C][C]2393[/C][C]2437.04335824424[/C][C]-44.0433582442365[/C][/ROW]
[ROW][C]141[/C][C]2306[/C][C]2225.78666641330[/C][C]80.2133335866952[/C][/ROW]
[ROW][C]142[/C][C]1785[/C][C]2010.10307859716[/C][C]-225.103078597165[/C][/ROW]
[ROW][C]143[/C][C]2047[/C][C]2182.38345615696[/C][C]-135.383456156964[/C][/ROW]
[ROW][C]144[/C][C]2171[/C][C]2288.22646144489[/C][C]-117.226461444886[/C][/ROW]
[ROW][C]145[/C][C]1212[/C][C]1141.04676325805[/C][C]70.9532367419451[/C][/ROW]
[ROW][C]146[/C][C]1335[/C][C]1604.05667822492[/C][C]-269.056678224918[/C][/ROW]
[ROW][C]147[/C][C]2011[/C][C]1765.86881105628[/C][C]245.131188943724[/C][/ROW]
[ROW][C]148[/C][C]1860[/C][C]1793.19060106043[/C][C]66.8093989395675[/C][/ROW]
[ROW][C]149[/C][C]1954[/C][C]2148.79987875612[/C][C]-194.799878756117[/C][/ROW]
[ROW][C]150[/C][C]2152[/C][C]2274.32587109784[/C][C]-122.325871097839[/C][/ROW]
[ROW][C]151[/C][C]2835[/C][C]2762.53853738870[/C][C]72.4614626112966[/C][/ROW]
[ROW][C]152[/C][C]2224[/C][C]2495.14579797863[/C][C]-271.145797978633[/C][/ROW]
[ROW][C]153[/C][C]2182[/C][C]2304.18542824719[/C][C]-122.185428247193[/C][/ROW]
[ROW][C]154[/C][C]1992[/C][C]1951.83859718394[/C][C]40.161402816062[/C][/ROW]
[ROW][C]155[/C][C]2389[/C][C]2187.76657237253[/C][C]201.233427627467[/C][/ROW]
[ROW][C]156[/C][C]2724[/C][C]2338.78349772118[/C][C]385.216502278822[/C][/ROW]
[ROW][C]157[/C][C]891[/C][C]1318.94434295805[/C][C]-427.944342958047[/C][/ROW]
[ROW][C]158[/C][C]1247[/C][C]1598.54531808404[/C][C]-351.545318084043[/C][/ROW]
[ROW][C]159[/C][C]2017[/C][C]1942.19396625574[/C][C]74.8060337442596[/C][/ROW]
[ROW][C]160[/C][C]2257[/C][C]1883.7487871632[/C][C]373.251212836802[/C][/ROW]
[ROW][C]161[/C][C]2255[/C][C]2177.02918313327[/C][C]77.9708168667294[/C][/ROW]
[ROW][C]162[/C][C]2255[/C][C]2360.64502556622[/C][C]-105.645025566216[/C][/ROW]
[ROW][C]163[/C][C]3057[/C][C]2923.21249489815[/C][C]133.787505101849[/C][/ROW]
[ROW][C]164[/C][C]3330[/C][C]2535.01504391593[/C][C]794.984956084075[/C][/ROW]
[ROW][C]165[/C][C]1896[/C][C]2521.1452845149[/C][C]-625.1452845149[/C][/ROW]
[ROW][C]166[/C][C]2096[/C][C]2171.77681011675[/C][C]-75.7768101167508[/C][/ROW]
[ROW][C]167[/C][C]2374[/C][C]2454.38247757626[/C][C]-80.3824775762628[/C][/ROW]
[ROW][C]168[/C][C]2535[/C][C]2641.68887248227[/C][C]-106.688872482273[/C][/ROW]
[ROW][C]169[/C][C]1041[/C][C]1263.25096069443[/C][C]-222.250960694430[/C][/ROW]
[ROW][C]170[/C][C]1728[/C][C]1594.74568622099[/C][C]133.254313779010[/C][/ROW]
[ROW][C]171[/C][C]2201[/C][C]2152.3087640478[/C][C]48.6912359521993[/C][/ROW]
[ROW][C]172[/C][C]2455[/C][C]2201.88922440581[/C][C]253.110775594188[/C][/ROW]
[ROW][C]173[/C][C]2204[/C][C]2371.62798087100[/C][C]-167.627980871004[/C][/ROW]
[ROW][C]174[/C][C]2660[/C][C]2458.91622867826[/C][C]201.083771321742[/C][/ROW]
[ROW][C]175[/C][C]3670[/C][C]3145.54943493606[/C][C]524.450565063941[/C][/ROW]
[ROW][C]176[/C][C]2665[/C][C]3047.87265338855[/C][C]-382.872653388547[/C][/ROW]
[ROW][C]177[/C][C]2639[/C][C]2371.35009653323[/C][C]267.64990346677[/C][/ROW]
[ROW][C]178[/C][C]2226[/C][C]2328.21951217863[/C][C]-102.219512178628[/C][/ROW]
[ROW][C]179[/C][C]2586[/C][C]2606.09401619437[/C][C]-20.0940161943713[/C][/ROW]
[ROW][C]180[/C][C]2684[/C][C]2790.49692647589[/C][C]-106.496926475895[/C][/ROW]
[ROW][C]181[/C][C]1185[/C][C]1369.09775112480[/C][C]-184.097751124797[/C][/ROW]
[ROW][C]182[/C][C]1749[/C][C]1837.17690502338[/C][C]-88.1769050233779[/C][/ROW]
[ROW][C]183[/C][C]2459[/C][C]2338.01335352949[/C][C]120.986646470514[/C][/ROW]
[ROW][C]184[/C][C]2618[/C][C]2471.87898455025[/C][C]146.121015449751[/C][/ROW]
[ROW][C]185[/C][C]2585[/C][C]2472.91300304771[/C][C]112.086996952294[/C][/ROW]
[ROW][C]186[/C][C]3310[/C][C]2729.26895289113[/C][C]580.731047108874[/C][/ROW]
[ROW][C]187[/C][C]3923[/C][C]3579.50983655229[/C][C]343.490163447706[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77020&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77020&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
13530452.67601495726577.3239850427346
14883802.65262249767580.3473775023251
15894823.09931105249270.9006889475078
161045997.55111603269747.4488839673032
1711991169.9928684774129.0071315225916
1812871268.1630675342918.8369324657142
1915651429.50580368181135.494196318194
2015771387.20511929221189.794880707788
2110761263.89382002715-187.893820027150
229181082.55759020915-164.557590209149
2310081099.34322152171-91.343221521706
2410631053.318656243369.6813437566409
25544645.793625295511-101.793625295511
26635976.450829021697-341.450829021697
27804945.241042226482-141.241042226482
289801086.75675254648-106.756752546479
2910181234.73854636167-216.738546361674
3010641301.07727275124-237.077272751242
3114041476.60124429179-72.6012442917925
3212861430.74623631629-144.746236316289
3311041128.77057811830-24.7705781182970
34999974.73263049397824.2673695060219
359961040.30217185881-44.3021718588093
3610151037.22269048956-22.2226904895558
37615584.59325511776430.4067448822359
38722841.199223454416-119.199223454416
39832909.824348774502-77.824348774502
409771071.40463936801-94.404639368012
4112701179.8886783014990.111321698513
4214371273.68537170127163.314628298733
4315201556.08553238509-36.0855323850876
4417081487.56408104484220.435918955162
4511511271.89402031800-120.894020318003
469341125.12443140956-191.124431409564
4711591140.6054401737118.3945598262899
4812091152.8944121137356.1055878862699
49699728.780584783842-29.7805847838417
50830922.871200880342-92.871200880342
519961009.89066032198-13.8906603219818
5211241172.60113378353-48.6011337835325
5314581354.9435254869103.056474513101
5412701477.44561686116-207.445616861164
5517531643.36167083334109.638329166662
5622581686.88553473281571.114465267189
5712081384.28364255664-176.283642556638
5812411205.0699349976835.9300650023215
5912651324.39659028932-59.3965902893208
6018281341.83328086323486.166719136771
61809934.860098048327-125.860098048327
629971094.51801013653-97.5180101365274
6311641210.38380819662-46.3838081966187
6412051356.47509404465-151.475094044655
6515381583.48461267835-45.4846126783498
6615131573.54180867131-60.5418086713128
6713781874.16399633978-496.163996339783
6820832020.1888481365562.8111518634519
6913571381.57695356408-24.5769535640814
7015361298.61121442000237.388785580003
7115261405.47514014156120.524859858439
7213761646.36910834542-270.369108345416
73779925.404582342507-146.404582342507
7410051093.25941170233-88.2594117023268
7511931229.20125998990-36.2012599899022
7615221337.36618148673184.633818513273
7715391642.16119548949-103.161195489493
7815461620.03485313316-74.0348531331554
7921161757.08786630969358.912133690309
8023262208.61865727024117.381342729755
8115961543.7313471714052.2686528285965
8213561566.97436020357-210.974360203574
8315531579.19606277105-26.1960627710478
8416131657.95122743416-44.9512274341603
858141008.82367502461-194.823675024606
8611501192.77911554965-42.77911554965
8712251353.27491274939-128.274912749387
8816911533.07014816688157.929851833121
8917591727.7722615463131.2277384536931
9017541731.8181780105322.1818219894669
9121002040.8871570551259.1128429448781
9220622368.36267904443-306.362679044426
9320121630.89190564532381.108094354682
9418971593.75476970934303.245230290662
9519641733.39601813616230.603981863839
9621861834.48561573664351.514384263362
979661174.86460169494-208.864601694942
9815491413.77023313843135.229766861571
9915381562.78338121407-24.7833812140684
10016121860.84433005452-248.844330054518
10120781961.99175941998116.008240580019
10221371972.34965287524164.650347124759
10329072311.41601150227595.583988497729
10422492564.18459742042-315.184597420418
10518832081.41079618555-198.410796185548
10617391949.16810612419-210.168106124190
10718282003.19106486497-175.191064864973
10818682102.93689429035-234.936894290347
10911381167.94782624310-29.9478262431021
11014301555.25994846124-125.259948461239
11118091615.02488905196193.975110948045
11217631854.71509601973-91.7150960197341
11322002109.5032379034290.4967620965781
11420672135.04169680851-68.041696808506
11525032607.83449802424-104.834498024243
11621412441.90018612108-300.900186121075
11721032004.1906318922698.8093681077444
11819721901.4986500545870.5013499454151
11921812000.56605093475180.433949065248
12023442118.67947546554225.320524534457
1219701312.46824207477-342.468242074775
12211991628.65899181663-429.658991816633
12317181772.41980608619-54.4198060861927
12416831877.49684765174-194.496847651745
12520252188.32725523786-163.327255237864
12620512125.92681834309-74.9268183430931
12724392584.24873667488-145.248736674878
12823532340.7752806082712.2247193917328
12922302087.47633113388142.523668866122
13018521979.24463809701-127.244638097015
13121472096.6311910129850.368808987022
13222862216.5948723191869.4051276808173
13310071181.3996102259-174.399610225901
13416651484.34272479559180.657275204408
13516421837.33295861957-195.332958619569
13615181874.22511504262-356.225115042616
13718312178.18982991821-347.189829918213
13822072127.6842961786579.3157038213512
13928222577.45484872541244.545151274589
14023932437.04335824424-44.0433582442365
14123062225.7866664133080.2133335866952
14217852010.10307859716-225.103078597165
14320472182.38345615696-135.383456156964
14421712288.22646144489-117.226461444886
14512121141.0467632580570.9532367419451
14613351604.05667822492-269.056678224918
14720111765.86881105628245.131188943724
14818601793.1906010604366.8093989395675
14919542148.79987875612-194.799878756117
15021522274.32587109784-122.325871097839
15128352762.5385373887072.4614626112966
15222242495.14579797863-271.145797978633
15321822304.18542824719-122.185428247193
15419921951.8385971839440.161402816062
15523892187.76657237253201.233427627467
15627242338.78349772118385.216502278822
1578911318.94434295805-427.944342958047
15812471598.54531808404-351.545318084043
15920171942.1939662557474.8060337442596
16022571883.7487871632373.251212836802
16122552177.0291831332777.9708168667294
16222552360.64502556622-105.645025566216
16330572923.21249489815133.787505101849
16433302535.01504391593794.984956084075
16518962521.1452845149-625.1452845149
16620962171.77681011675-75.7768101167508
16723742454.38247757626-80.3824775762628
16825352641.68887248227-106.688872482273
16910411263.25096069443-222.250960694430
17017281594.74568622099133.254313779010
17122012152.308764047848.6912359521993
17224552201.88922440581253.110775594188
17322042371.62798087100-167.627980871004
17426602458.91622867826201.083771321742
17536703145.54943493606524.450565063941
17626653047.87265338855-382.872653388547
17726392371.35009653323267.64990346677
17822262328.21951217863-102.219512178628
17925862606.09401619437-20.0940161943713
18026842790.49692647589-106.496926475895
18111851369.09775112480-184.097751124797
18217491837.17690502338-88.1769050233779
18324592338.01335352949120.986646470514
18426182471.87898455025146.121015449751
18525852472.91300304771112.086996952294
18633102729.26895289113580.731047108874
18739233579.50983655229343.490163447706







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1883123.701056564042707.139394865973540.26271826211
1892732.839482038492313.573271518283152.1056925587
1902521.587675867292099.634251220332943.54110051425
1912841.675684448832417.052051264553266.29931763311
1922996.234613347152568.957458392733423.51176830156
1931558.12715211691128.212853176681988.04145105712
1942082.896311942801650.36094723772515.43167664791
1952671.59512678742236.454483997163106.73576957763
1962801.000398738392363.269983647993238.73081382880
1972772.697689661812332.392734451753213.00264487188
1983190.57192168082747.707392880113633.43645048149
1993886.288447623273440.879053742574331.69784150398

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 3123.70105656404 & 2707.13939486597 & 3540.26271826211 \tabularnewline
189 & 2732.83948203849 & 2313.57327151828 & 3152.1056925587 \tabularnewline
190 & 2521.58767586729 & 2099.63425122033 & 2943.54110051425 \tabularnewline
191 & 2841.67568444883 & 2417.05205126455 & 3266.29931763311 \tabularnewline
192 & 2996.23461334715 & 2568.95745839273 & 3423.51176830156 \tabularnewline
193 & 1558.1271521169 & 1128.21285317668 & 1988.04145105712 \tabularnewline
194 & 2082.89631194280 & 1650.3609472377 & 2515.43167664791 \tabularnewline
195 & 2671.5951267874 & 2236.45448399716 & 3106.73576957763 \tabularnewline
196 & 2801.00039873839 & 2363.26998364799 & 3238.73081382880 \tabularnewline
197 & 2772.69768966181 & 2332.39273445175 & 3213.00264487188 \tabularnewline
198 & 3190.5719216808 & 2747.70739288011 & 3633.43645048149 \tabularnewline
199 & 3886.28844762327 & 3440.87905374257 & 4331.69784150398 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77020&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]3123.70105656404[/C][C]2707.13939486597[/C][C]3540.26271826211[/C][/ROW]
[ROW][C]189[/C][C]2732.83948203849[/C][C]2313.57327151828[/C][C]3152.1056925587[/C][/ROW]
[ROW][C]190[/C][C]2521.58767586729[/C][C]2099.63425122033[/C][C]2943.54110051425[/C][/ROW]
[ROW][C]191[/C][C]2841.67568444883[/C][C]2417.05205126455[/C][C]3266.29931763311[/C][/ROW]
[ROW][C]192[/C][C]2996.23461334715[/C][C]2568.95745839273[/C][C]3423.51176830156[/C][/ROW]
[ROW][C]193[/C][C]1558.1271521169[/C][C]1128.21285317668[/C][C]1988.04145105712[/C][/ROW]
[ROW][C]194[/C][C]2082.89631194280[/C][C]1650.3609472377[/C][C]2515.43167664791[/C][/ROW]
[ROW][C]195[/C][C]2671.5951267874[/C][C]2236.45448399716[/C][C]3106.73576957763[/C][/ROW]
[ROW][C]196[/C][C]2801.00039873839[/C][C]2363.26998364799[/C][C]3238.73081382880[/C][/ROW]
[ROW][C]197[/C][C]2772.69768966181[/C][C]2332.39273445175[/C][C]3213.00264487188[/C][/ROW]
[ROW][C]198[/C][C]3190.5719216808[/C][C]2747.70739288011[/C][C]3633.43645048149[/C][/ROW]
[ROW][C]199[/C][C]3886.28844762327[/C][C]3440.87905374257[/C][C]4331.69784150398[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77020&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77020&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
1883123.701056564042707.139394865973540.26271826211
1892732.839482038492313.573271518283152.1056925587
1902521.587675867292099.634251220332943.54110051425
1912841.675684448832417.052051264553266.29931763311
1922996.234613347152568.957458392733423.51176830156
1931558.12715211691128.212853176681988.04145105712
1942082.896311942801650.36094723772515.43167664791
1952671.59512678742236.454483997163106.73576957763
1962801.000398738392363.269983647993238.73081382880
1972772.697689661812332.392734451753213.00264487188
1983190.57192168082747.707392880113633.43645048149
1993886.288447623273440.879053742574331.69784150398



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