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 07:29:24 +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/t1275463925j4jw2fi9kpfmuzn.htm/, Retrieved Fri, 26 Apr 2024 18:40:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76867, Retrieved Fri, 26 Apr 2024 18:40:10 +0000
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Original text written by user:eline.horemans@student.kdg.be
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact154
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-06-02 07:29:24] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
464
675
703
887
1139
1077
1318
1260
1120
963
996
960
530
883
894
1045
1199
1287
1565
1577
1076
918
1008
1063
544
635
804
980
1018
1064
1404
1286
1104
999
996
1015
615
722
832
977
1270
1437
1520
1708
1151
934
1159
1209
699
830
996
1124
1458
1270
1753
2258
1208
1241
1265
1828
809
997
1164
1205
1538
1513
1378
2083
1357
1536
1526
1376
779
1005
1193
1522
1539
1546
2116
2326
1596
1356
1553
1613
814
1150
1225
1691
1759
1754
2100
2062
2012
1897
1964
2186
966
1549
1538
1612
2078
2137
2907
2249
1883
1739
1828
1868
1138
1430
1809
1763
2200
2067
2503
2141
2103
1972
2181
2344
970
1199
1718
1683
2025
2051
2439
2353
2230
1852
2147
2286
1007
1665
1642
1518
1831
2207
2822
2393
2306
1785
2047
2171
1212
1335
2011
1860
1954
2152
2835
2224
2182
1992
2389
2724
891
1247
2017
2257
2255
2255
3057
3330
1896
2096
2374
2535
1041
1728
2201
2455
2204
2660
3670
2665
2639
2226
2586
2684
1185
1749
2459
2618
2585
3310
3923




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing 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=76867&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=76867&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76867&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
alpha0.128930926063059
beta0
gamma0.318961787795789

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.128930926063059 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.318961787795789 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76867&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]0.128930926063059[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.318961787795789[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76867&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76867&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
alpha0.128930926063059
beta0
gamma0.318961787795789







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13530488.83695900046341.163040999537
14883814.75523893239968.2447610676013
15894834.61852403814959.3814759618515
161045999.13603200943545.8639679905651
1711991167.5174428106431.4825571893605
1812871265.7678925140221.2321074859849
1915651471.5441169062293.455883093782
2015771416.67395034438160.326049655620
2110761269.32628721628-193.326287216280
229181065.59758763115-147.597587631153
2310081084.10736657534-76.1073665753388
2410631034.9518793466628.0481206533357
25544581.982552876668-37.9825528766681
26635950.01704297118-315.01704297118
27804917.750504008918-113.750504008918
289801063.42543153307-83.425431533069
2910181216.09603740948-198.096037409481
3010641282.55780968998-218.557809689982
3114041474.02347356884-70.0234735688375
3212861417.91458147561-131.914581475614
3311041148.84690724577-44.8469072457747
34999983.31927443460315.6807255653965
359961041.62335100716-45.6233510071575
3610151025.6617778338-10.6617778338000
37615559.41124784027655.5887521597242
38722858.653333515306-136.653333515306
39832906.056318391442-74.0563183914425
409771069.55862086221-92.55862086221
4112701191.2360260260578.763973973949
4214371290.50915889255146.490841107447
4315201593.93855847723-73.9385584772338
4417081512.02680738275195.973192617247
4511511278.88506606664-127.885066066642
469341101.55325635512-167.553256355115
4711591121.7000205159537.2999794840518
4812091125.0045063484183.9954936515919
49699638.41288507031560.5871149296852
50830909.400985151356-79.4009851513558
51996990.0938507714445.90614922855627
5211241179.04487730169-55.0448773016915
5314581375.8299184303182.1700815696906
5412701506.27911116513-236.279111165128
5517531718.313904188634.6860958114012
5622581723.10131469524534.898685304756
5712081397.79915781362-189.79915781362
5812411178.6847664400362.315233559967
5912651298.32903611964-33.3290361196437
6018281305.30176605923522.698233940772
61809774.56118204673334.4388179532666
629971040.77010167051-43.7701016705096
6311641168.75073612202-4.75073612201572
6412051367.6983549032-162.698354903199
6515381626.18580375515-88.1858037551515
6615131647.32610180479-134.326101804787
6713781994.8473981759-616.847398175902
6820832061.2178209405321.7821790594703
6913571428.82192211012-71.8219221101172
7015361284.72546884146251.274531158535
7115261409.0793621541116.920637845899
7213761598.65940088826-222.659400888261
73779810.73714273177-31.7371427317696
7410051051.93266238057-46.9326623805705
7511931193.37607240147-0.376072401467354
7615221351.58581532867170.414184671327
7715391689.45800268104-150.458002681038
7815461689.68549575826-143.685495758261
7921161905.13461397824210.865386021764
8023262288.7565481025137.2434518974892
8115961559.5920370508036.4079629492023
8213561510.71249582125-154.712495821247
8315531548.271436262054.72856373794889
8416131632.16622149008-19.1662214900787
85814866.034135880236-52.0341358802364
8611501118.2730043574831.7269956425243
8712251295.90142116044-70.9014211604406
8816911506.94089288937184.059107110634
8917591773.46513372946-14.4651337294576
9017541793.43097722004-39.4309772200411
9121002150.52505344624-50.5250534462384
9220622474.58202317727-412.58202317727
9320121649.13461538531362.865384614687
9418971579.57425173296317.42574826704
9519641733.10680944281230.893190557190
9621861848.41951486649337.580485133513
97966990.716000674308-24.7160006743081
9815491316.00081055352232.999189446478
9915381516.7255264078421.2744735921622
10016121865.30779150913-253.307791509130
10120782048.0874998809029.9125001190969
10221372067.2207979544169.7792020455922
10329072493.16925096456413.830749035440
10422492815.31344148217-566.313441482172
10518832074.7657014799-191.765701479898
10617391898.77284610264-159.772846102645
10718281973.17415285422-145.174152854216
10818682074.50887478492-206.508874784916
10911381014.42752648855123.572473511449
11014301448.76169452102-18.7616945210216
11118091560.78133262785248.218667372145
11217631872.46637985906-109.466379859062
11322002167.8289886827732.1710113172339
11420672198.99757413641-131.997574136406
11525032712.50610912219-209.506109122188
11621412677.56580949333-536.565809493326
11721032039.0539358569663.9460641430412
11819721900.5402223616171.4597776383923
11921812012.03876025336168.961239746642
12023442141.73511193062202.264888069379
1219701141.04354334107-171.043543341066
12211991516.72816114097-317.728161140968
12317181667.2649051731950.7350948268104
12416831855.10955042207-172.109550422071
12520252182.64731643919-157.647316439192
12620512143.70912748383-92.709127483828
12724392637.04671442342-198.046714423419
12823532509.46343944927-156.463439449273
12922302081.67868386108148.321316138916
13018521953.33939339838-101.339393398375
13121472069.7932570340777.2067429659337
13222862196.1855440393889.8144559606185
13310071084.64792832794-77.647928327937
13416651430.19404726694234.805952733061
13516421769.23922025062-127.239220250619
13615181875.82278453689-357.822784536888
13718312191.54539780048-360.545397800477
13822072144.1852889921162.8147110078899
13928222637.89742440655184.102575593454
14023932566.47025484265-173.470254842647
14123062207.3178541475798.6821458524314
14217851994.72252902756-209.722529027564
14320472151.56574794136-104.565747941355
14421712259.77921774676-88.7792177467613
14512121070.26508143285141.734918567153
14613351544.13335047298-209.133350472983
14720111723.90986670660287.090133293397
14818601818.5252811857041.4747188142951
14919542201.59379662456-247.593796624557
15021522292.73539533376-140.735395333764
15128352817.7963195002017.2036804998047
15222242616.82823281669-392.828232816688
15321822297.14668489135-115.146684891355
15419921965.4977454508326.5022545491663
15523892188.10276913204200.897230867962
15627242345.61843415762378.381565842381
1578911193.66533165030-302.665331650297
15812471519.99089775425-272.990897754245
15920171833.60178236905183.398217630952
16022571846.38991421299410.610085787007
16122552205.6598829931349.3401170068732
16222552371.89557184749-116.895571847493
16330572974.9589710768182.041028923195
16433302647.35367654457682.646323455434
16518962520.14220101208-624.142201012083
16620962137.97226036438-41.9722603643763
16723742419.71801410648-45.7180141064846
16825352603.13644850766-68.1364485076638
16910411148.50094503263-107.50094503263
17017281528.24102368985199.758976310149
17122012076.81793642787124.182063572127
17224552145.67557931209309.324420687911
17322042408.11543436073-204.115434360731
17426602502.41008370423157.589916295772
17536703252.23288577992417.767114220076
17626653109.720088842-444.720088841997
17726392442.44363393001196.556366069986
17822262314.42316529856-88.423165298559
17925862612.65435638816-26.6543563881555
18026842806.99681258423-122.996812584234
18111851211.47427616192-26.4742761619227
18217491730.0709769897818.9290230102185
18324592271.6238317361187.376168263900
18426182405.78894534087212.211054659133
18525852517.2877721546567.7122278453548
18633102764.81400431412545.185995685879
18739233717.08072903676205.919270963237

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 530 & 488.836959000463 & 41.163040999537 \tabularnewline
14 & 883 & 814.755238932399 & 68.2447610676013 \tabularnewline
15 & 894 & 834.618524038149 & 59.3814759618515 \tabularnewline
16 & 1045 & 999.136032009435 & 45.8639679905651 \tabularnewline
17 & 1199 & 1167.51744281064 & 31.4825571893605 \tabularnewline
18 & 1287 & 1265.76789251402 & 21.2321074859849 \tabularnewline
19 & 1565 & 1471.54411690622 & 93.455883093782 \tabularnewline
20 & 1577 & 1416.67395034438 & 160.326049655620 \tabularnewline
21 & 1076 & 1269.32628721628 & -193.326287216280 \tabularnewline
22 & 918 & 1065.59758763115 & -147.597587631153 \tabularnewline
23 & 1008 & 1084.10736657534 & -76.1073665753388 \tabularnewline
24 & 1063 & 1034.95187934666 & 28.0481206533357 \tabularnewline
25 & 544 & 581.982552876668 & -37.9825528766681 \tabularnewline
26 & 635 & 950.01704297118 & -315.01704297118 \tabularnewline
27 & 804 & 917.750504008918 & -113.750504008918 \tabularnewline
28 & 980 & 1063.42543153307 & -83.425431533069 \tabularnewline
29 & 1018 & 1216.09603740948 & -198.096037409481 \tabularnewline
30 & 1064 & 1282.55780968998 & -218.557809689982 \tabularnewline
31 & 1404 & 1474.02347356884 & -70.0234735688375 \tabularnewline
32 & 1286 & 1417.91458147561 & -131.914581475614 \tabularnewline
33 & 1104 & 1148.84690724577 & -44.8469072457747 \tabularnewline
34 & 999 & 983.319274434603 & 15.6807255653965 \tabularnewline
35 & 996 & 1041.62335100716 & -45.6233510071575 \tabularnewline
36 & 1015 & 1025.6617778338 & -10.6617778338000 \tabularnewline
37 & 615 & 559.411247840276 & 55.5887521597242 \tabularnewline
38 & 722 & 858.653333515306 & -136.653333515306 \tabularnewline
39 & 832 & 906.056318391442 & -74.0563183914425 \tabularnewline
40 & 977 & 1069.55862086221 & -92.55862086221 \tabularnewline
41 & 1270 & 1191.23602602605 & 78.763973973949 \tabularnewline
42 & 1437 & 1290.50915889255 & 146.490841107447 \tabularnewline
43 & 1520 & 1593.93855847723 & -73.9385584772338 \tabularnewline
44 & 1708 & 1512.02680738275 & 195.973192617247 \tabularnewline
45 & 1151 & 1278.88506606664 & -127.885066066642 \tabularnewline
46 & 934 & 1101.55325635512 & -167.553256355115 \tabularnewline
47 & 1159 & 1121.70002051595 & 37.2999794840518 \tabularnewline
48 & 1209 & 1125.00450634841 & 83.9954936515919 \tabularnewline
49 & 699 & 638.412885070315 & 60.5871149296852 \tabularnewline
50 & 830 & 909.400985151356 & -79.4009851513558 \tabularnewline
51 & 996 & 990.093850771444 & 5.90614922855627 \tabularnewline
52 & 1124 & 1179.04487730169 & -55.0448773016915 \tabularnewline
53 & 1458 & 1375.82991843031 & 82.1700815696906 \tabularnewline
54 & 1270 & 1506.27911116513 & -236.279111165128 \tabularnewline
55 & 1753 & 1718.3139041886 & 34.6860958114012 \tabularnewline
56 & 2258 & 1723.10131469524 & 534.898685304756 \tabularnewline
57 & 1208 & 1397.79915781362 & -189.79915781362 \tabularnewline
58 & 1241 & 1178.68476644003 & 62.315233559967 \tabularnewline
59 & 1265 & 1298.32903611964 & -33.3290361196437 \tabularnewline
60 & 1828 & 1305.30176605923 & 522.698233940772 \tabularnewline
61 & 809 & 774.561182046733 & 34.4388179532666 \tabularnewline
62 & 997 & 1040.77010167051 & -43.7701016705096 \tabularnewline
63 & 1164 & 1168.75073612202 & -4.75073612201572 \tabularnewline
64 & 1205 & 1367.6983549032 & -162.698354903199 \tabularnewline
65 & 1538 & 1626.18580375515 & -88.1858037551515 \tabularnewline
66 & 1513 & 1647.32610180479 & -134.326101804787 \tabularnewline
67 & 1378 & 1994.8473981759 & -616.847398175902 \tabularnewline
68 & 2083 & 2061.21782094053 & 21.7821790594703 \tabularnewline
69 & 1357 & 1428.82192211012 & -71.8219221101172 \tabularnewline
70 & 1536 & 1284.72546884146 & 251.274531158535 \tabularnewline
71 & 1526 & 1409.0793621541 & 116.920637845899 \tabularnewline
72 & 1376 & 1598.65940088826 & -222.659400888261 \tabularnewline
73 & 779 & 810.73714273177 & -31.7371427317696 \tabularnewline
74 & 1005 & 1051.93266238057 & -46.9326623805705 \tabularnewline
75 & 1193 & 1193.37607240147 & -0.376072401467354 \tabularnewline
76 & 1522 & 1351.58581532867 & 170.414184671327 \tabularnewline
77 & 1539 & 1689.45800268104 & -150.458002681038 \tabularnewline
78 & 1546 & 1689.68549575826 & -143.685495758261 \tabularnewline
79 & 2116 & 1905.13461397824 & 210.865386021764 \tabularnewline
80 & 2326 & 2288.75654810251 & 37.2434518974892 \tabularnewline
81 & 1596 & 1559.59203705080 & 36.4079629492023 \tabularnewline
82 & 1356 & 1510.71249582125 & -154.712495821247 \tabularnewline
83 & 1553 & 1548.27143626205 & 4.72856373794889 \tabularnewline
84 & 1613 & 1632.16622149008 & -19.1662214900787 \tabularnewline
85 & 814 & 866.034135880236 & -52.0341358802364 \tabularnewline
86 & 1150 & 1118.27300435748 & 31.7269956425243 \tabularnewline
87 & 1225 & 1295.90142116044 & -70.9014211604406 \tabularnewline
88 & 1691 & 1506.94089288937 & 184.059107110634 \tabularnewline
89 & 1759 & 1773.46513372946 & -14.4651337294576 \tabularnewline
90 & 1754 & 1793.43097722004 & -39.4309772200411 \tabularnewline
91 & 2100 & 2150.52505344624 & -50.5250534462384 \tabularnewline
92 & 2062 & 2474.58202317727 & -412.58202317727 \tabularnewline
93 & 2012 & 1649.13461538531 & 362.865384614687 \tabularnewline
94 & 1897 & 1579.57425173296 & 317.42574826704 \tabularnewline
95 & 1964 & 1733.10680944281 & 230.893190557190 \tabularnewline
96 & 2186 & 1848.41951486649 & 337.580485133513 \tabularnewline
97 & 966 & 990.716000674308 & -24.7160006743081 \tabularnewline
98 & 1549 & 1316.00081055352 & 232.999189446478 \tabularnewline
99 & 1538 & 1516.72552640784 & 21.2744735921622 \tabularnewline
100 & 1612 & 1865.30779150913 & -253.307791509130 \tabularnewline
101 & 2078 & 2048.08749988090 & 29.9125001190969 \tabularnewline
102 & 2137 & 2067.22079795441 & 69.7792020455922 \tabularnewline
103 & 2907 & 2493.16925096456 & 413.830749035440 \tabularnewline
104 & 2249 & 2815.31344148217 & -566.313441482172 \tabularnewline
105 & 1883 & 2074.7657014799 & -191.765701479898 \tabularnewline
106 & 1739 & 1898.77284610264 & -159.772846102645 \tabularnewline
107 & 1828 & 1973.17415285422 & -145.174152854216 \tabularnewline
108 & 1868 & 2074.50887478492 & -206.508874784916 \tabularnewline
109 & 1138 & 1014.42752648855 & 123.572473511449 \tabularnewline
110 & 1430 & 1448.76169452102 & -18.7616945210216 \tabularnewline
111 & 1809 & 1560.78133262785 & 248.218667372145 \tabularnewline
112 & 1763 & 1872.46637985906 & -109.466379859062 \tabularnewline
113 & 2200 & 2167.82898868277 & 32.1710113172339 \tabularnewline
114 & 2067 & 2198.99757413641 & -131.997574136406 \tabularnewline
115 & 2503 & 2712.50610912219 & -209.506109122188 \tabularnewline
116 & 2141 & 2677.56580949333 & -536.565809493326 \tabularnewline
117 & 2103 & 2039.05393585696 & 63.9460641430412 \tabularnewline
118 & 1972 & 1900.54022236161 & 71.4597776383923 \tabularnewline
119 & 2181 & 2012.03876025336 & 168.961239746642 \tabularnewline
120 & 2344 & 2141.73511193062 & 202.264888069379 \tabularnewline
121 & 970 & 1141.04354334107 & -171.043543341066 \tabularnewline
122 & 1199 & 1516.72816114097 & -317.728161140968 \tabularnewline
123 & 1718 & 1667.26490517319 & 50.7350948268104 \tabularnewline
124 & 1683 & 1855.10955042207 & -172.109550422071 \tabularnewline
125 & 2025 & 2182.64731643919 & -157.647316439192 \tabularnewline
126 & 2051 & 2143.70912748383 & -92.709127483828 \tabularnewline
127 & 2439 & 2637.04671442342 & -198.046714423419 \tabularnewline
128 & 2353 & 2509.46343944927 & -156.463439449273 \tabularnewline
129 & 2230 & 2081.67868386108 & 148.321316138916 \tabularnewline
130 & 1852 & 1953.33939339838 & -101.339393398375 \tabularnewline
131 & 2147 & 2069.79325703407 & 77.2067429659337 \tabularnewline
132 & 2286 & 2196.18554403938 & 89.8144559606185 \tabularnewline
133 & 1007 & 1084.64792832794 & -77.647928327937 \tabularnewline
134 & 1665 & 1430.19404726694 & 234.805952733061 \tabularnewline
135 & 1642 & 1769.23922025062 & -127.239220250619 \tabularnewline
136 & 1518 & 1875.82278453689 & -357.822784536888 \tabularnewline
137 & 1831 & 2191.54539780048 & -360.545397800477 \tabularnewline
138 & 2207 & 2144.18528899211 & 62.8147110078899 \tabularnewline
139 & 2822 & 2637.89742440655 & 184.102575593454 \tabularnewline
140 & 2393 & 2566.47025484265 & -173.470254842647 \tabularnewline
141 & 2306 & 2207.31785414757 & 98.6821458524314 \tabularnewline
142 & 1785 & 1994.72252902756 & -209.722529027564 \tabularnewline
143 & 2047 & 2151.56574794136 & -104.565747941355 \tabularnewline
144 & 2171 & 2259.77921774676 & -88.7792177467613 \tabularnewline
145 & 1212 & 1070.26508143285 & 141.734918567153 \tabularnewline
146 & 1335 & 1544.13335047298 & -209.133350472983 \tabularnewline
147 & 2011 & 1723.90986670660 & 287.090133293397 \tabularnewline
148 & 1860 & 1818.52528118570 & 41.4747188142951 \tabularnewline
149 & 1954 & 2201.59379662456 & -247.593796624557 \tabularnewline
150 & 2152 & 2292.73539533376 & -140.735395333764 \tabularnewline
151 & 2835 & 2817.79631950020 & 17.2036804998047 \tabularnewline
152 & 2224 & 2616.82823281669 & -392.828232816688 \tabularnewline
153 & 2182 & 2297.14668489135 & -115.146684891355 \tabularnewline
154 & 1992 & 1965.49774545083 & 26.5022545491663 \tabularnewline
155 & 2389 & 2188.10276913204 & 200.897230867962 \tabularnewline
156 & 2724 & 2345.61843415762 & 378.381565842381 \tabularnewline
157 & 891 & 1193.66533165030 & -302.665331650297 \tabularnewline
158 & 1247 & 1519.99089775425 & -272.990897754245 \tabularnewline
159 & 2017 & 1833.60178236905 & 183.398217630952 \tabularnewline
160 & 2257 & 1846.38991421299 & 410.610085787007 \tabularnewline
161 & 2255 & 2205.65988299313 & 49.3401170068732 \tabularnewline
162 & 2255 & 2371.89557184749 & -116.895571847493 \tabularnewline
163 & 3057 & 2974.95897107681 & 82.041028923195 \tabularnewline
164 & 3330 & 2647.35367654457 & 682.646323455434 \tabularnewline
165 & 1896 & 2520.14220101208 & -624.142201012083 \tabularnewline
166 & 2096 & 2137.97226036438 & -41.9722603643763 \tabularnewline
167 & 2374 & 2419.71801410648 & -45.7180141064846 \tabularnewline
168 & 2535 & 2603.13644850766 & -68.1364485076638 \tabularnewline
169 & 1041 & 1148.50094503263 & -107.50094503263 \tabularnewline
170 & 1728 & 1528.24102368985 & 199.758976310149 \tabularnewline
171 & 2201 & 2076.81793642787 & 124.182063572127 \tabularnewline
172 & 2455 & 2145.67557931209 & 309.324420687911 \tabularnewline
173 & 2204 & 2408.11543436073 & -204.115434360731 \tabularnewline
174 & 2660 & 2502.41008370423 & 157.589916295772 \tabularnewline
175 & 3670 & 3252.23288577992 & 417.767114220076 \tabularnewline
176 & 2665 & 3109.720088842 & -444.720088841997 \tabularnewline
177 & 2639 & 2442.44363393001 & 196.556366069986 \tabularnewline
178 & 2226 & 2314.42316529856 & -88.423165298559 \tabularnewline
179 & 2586 & 2612.65435638816 & -26.6543563881555 \tabularnewline
180 & 2684 & 2806.99681258423 & -122.996812584234 \tabularnewline
181 & 1185 & 1211.47427616192 & -26.4742761619227 \tabularnewline
182 & 1749 & 1730.07097698978 & 18.9290230102185 \tabularnewline
183 & 2459 & 2271.6238317361 & 187.376168263900 \tabularnewline
184 & 2618 & 2405.78894534087 & 212.211054659133 \tabularnewline
185 & 2585 & 2517.28777215465 & 67.7122278453548 \tabularnewline
186 & 3310 & 2764.81400431412 & 545.185995685879 \tabularnewline
187 & 3923 & 3717.08072903676 & 205.919270963237 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76867&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]488.836959000463[/C][C]41.163040999537[/C][/ROW]
[ROW][C]14[/C][C]883[/C][C]814.755238932399[/C][C]68.2447610676013[/C][/ROW]
[ROW][C]15[/C][C]894[/C][C]834.618524038149[/C][C]59.3814759618515[/C][/ROW]
[ROW][C]16[/C][C]1045[/C][C]999.136032009435[/C][C]45.8639679905651[/C][/ROW]
[ROW][C]17[/C][C]1199[/C][C]1167.51744281064[/C][C]31.4825571893605[/C][/ROW]
[ROW][C]18[/C][C]1287[/C][C]1265.76789251402[/C][C]21.2321074859849[/C][/ROW]
[ROW][C]19[/C][C]1565[/C][C]1471.54411690622[/C][C]93.455883093782[/C][/ROW]
[ROW][C]20[/C][C]1577[/C][C]1416.67395034438[/C][C]160.326049655620[/C][/ROW]
[ROW][C]21[/C][C]1076[/C][C]1269.32628721628[/C][C]-193.326287216280[/C][/ROW]
[ROW][C]22[/C][C]918[/C][C]1065.59758763115[/C][C]-147.597587631153[/C][/ROW]
[ROW][C]23[/C][C]1008[/C][C]1084.10736657534[/C][C]-76.1073665753388[/C][/ROW]
[ROW][C]24[/C][C]1063[/C][C]1034.95187934666[/C][C]28.0481206533357[/C][/ROW]
[ROW][C]25[/C][C]544[/C][C]581.982552876668[/C][C]-37.9825528766681[/C][/ROW]
[ROW][C]26[/C][C]635[/C][C]950.01704297118[/C][C]-315.01704297118[/C][/ROW]
[ROW][C]27[/C][C]804[/C][C]917.750504008918[/C][C]-113.750504008918[/C][/ROW]
[ROW][C]28[/C][C]980[/C][C]1063.42543153307[/C][C]-83.425431533069[/C][/ROW]
[ROW][C]29[/C][C]1018[/C][C]1216.09603740948[/C][C]-198.096037409481[/C][/ROW]
[ROW][C]30[/C][C]1064[/C][C]1282.55780968998[/C][C]-218.557809689982[/C][/ROW]
[ROW][C]31[/C][C]1404[/C][C]1474.02347356884[/C][C]-70.0234735688375[/C][/ROW]
[ROW][C]32[/C][C]1286[/C][C]1417.91458147561[/C][C]-131.914581475614[/C][/ROW]
[ROW][C]33[/C][C]1104[/C][C]1148.84690724577[/C][C]-44.8469072457747[/C][/ROW]
[ROW][C]34[/C][C]999[/C][C]983.319274434603[/C][C]15.6807255653965[/C][/ROW]
[ROW][C]35[/C][C]996[/C][C]1041.62335100716[/C][C]-45.6233510071575[/C][/ROW]
[ROW][C]36[/C][C]1015[/C][C]1025.6617778338[/C][C]-10.6617778338000[/C][/ROW]
[ROW][C]37[/C][C]615[/C][C]559.411247840276[/C][C]55.5887521597242[/C][/ROW]
[ROW][C]38[/C][C]722[/C][C]858.653333515306[/C][C]-136.653333515306[/C][/ROW]
[ROW][C]39[/C][C]832[/C][C]906.056318391442[/C][C]-74.0563183914425[/C][/ROW]
[ROW][C]40[/C][C]977[/C][C]1069.55862086221[/C][C]-92.55862086221[/C][/ROW]
[ROW][C]41[/C][C]1270[/C][C]1191.23602602605[/C][C]78.763973973949[/C][/ROW]
[ROW][C]42[/C][C]1437[/C][C]1290.50915889255[/C][C]146.490841107447[/C][/ROW]
[ROW][C]43[/C][C]1520[/C][C]1593.93855847723[/C][C]-73.9385584772338[/C][/ROW]
[ROW][C]44[/C][C]1708[/C][C]1512.02680738275[/C][C]195.973192617247[/C][/ROW]
[ROW][C]45[/C][C]1151[/C][C]1278.88506606664[/C][C]-127.885066066642[/C][/ROW]
[ROW][C]46[/C][C]934[/C][C]1101.55325635512[/C][C]-167.553256355115[/C][/ROW]
[ROW][C]47[/C][C]1159[/C][C]1121.70002051595[/C][C]37.2999794840518[/C][/ROW]
[ROW][C]48[/C][C]1209[/C][C]1125.00450634841[/C][C]83.9954936515919[/C][/ROW]
[ROW][C]49[/C][C]699[/C][C]638.412885070315[/C][C]60.5871149296852[/C][/ROW]
[ROW][C]50[/C][C]830[/C][C]909.400985151356[/C][C]-79.4009851513558[/C][/ROW]
[ROW][C]51[/C][C]996[/C][C]990.093850771444[/C][C]5.90614922855627[/C][/ROW]
[ROW][C]52[/C][C]1124[/C][C]1179.04487730169[/C][C]-55.0448773016915[/C][/ROW]
[ROW][C]53[/C][C]1458[/C][C]1375.82991843031[/C][C]82.1700815696906[/C][/ROW]
[ROW][C]54[/C][C]1270[/C][C]1506.27911116513[/C][C]-236.279111165128[/C][/ROW]
[ROW][C]55[/C][C]1753[/C][C]1718.3139041886[/C][C]34.6860958114012[/C][/ROW]
[ROW][C]56[/C][C]2258[/C][C]1723.10131469524[/C][C]534.898685304756[/C][/ROW]
[ROW][C]57[/C][C]1208[/C][C]1397.79915781362[/C][C]-189.79915781362[/C][/ROW]
[ROW][C]58[/C][C]1241[/C][C]1178.68476644003[/C][C]62.315233559967[/C][/ROW]
[ROW][C]59[/C][C]1265[/C][C]1298.32903611964[/C][C]-33.3290361196437[/C][/ROW]
[ROW][C]60[/C][C]1828[/C][C]1305.30176605923[/C][C]522.698233940772[/C][/ROW]
[ROW][C]61[/C][C]809[/C][C]774.561182046733[/C][C]34.4388179532666[/C][/ROW]
[ROW][C]62[/C][C]997[/C][C]1040.77010167051[/C][C]-43.7701016705096[/C][/ROW]
[ROW][C]63[/C][C]1164[/C][C]1168.75073612202[/C][C]-4.75073612201572[/C][/ROW]
[ROW][C]64[/C][C]1205[/C][C]1367.6983549032[/C][C]-162.698354903199[/C][/ROW]
[ROW][C]65[/C][C]1538[/C][C]1626.18580375515[/C][C]-88.1858037551515[/C][/ROW]
[ROW][C]66[/C][C]1513[/C][C]1647.32610180479[/C][C]-134.326101804787[/C][/ROW]
[ROW][C]67[/C][C]1378[/C][C]1994.8473981759[/C][C]-616.847398175902[/C][/ROW]
[ROW][C]68[/C][C]2083[/C][C]2061.21782094053[/C][C]21.7821790594703[/C][/ROW]
[ROW][C]69[/C][C]1357[/C][C]1428.82192211012[/C][C]-71.8219221101172[/C][/ROW]
[ROW][C]70[/C][C]1536[/C][C]1284.72546884146[/C][C]251.274531158535[/C][/ROW]
[ROW][C]71[/C][C]1526[/C][C]1409.0793621541[/C][C]116.920637845899[/C][/ROW]
[ROW][C]72[/C][C]1376[/C][C]1598.65940088826[/C][C]-222.659400888261[/C][/ROW]
[ROW][C]73[/C][C]779[/C][C]810.73714273177[/C][C]-31.7371427317696[/C][/ROW]
[ROW][C]74[/C][C]1005[/C][C]1051.93266238057[/C][C]-46.9326623805705[/C][/ROW]
[ROW][C]75[/C][C]1193[/C][C]1193.37607240147[/C][C]-0.376072401467354[/C][/ROW]
[ROW][C]76[/C][C]1522[/C][C]1351.58581532867[/C][C]170.414184671327[/C][/ROW]
[ROW][C]77[/C][C]1539[/C][C]1689.45800268104[/C][C]-150.458002681038[/C][/ROW]
[ROW][C]78[/C][C]1546[/C][C]1689.68549575826[/C][C]-143.685495758261[/C][/ROW]
[ROW][C]79[/C][C]2116[/C][C]1905.13461397824[/C][C]210.865386021764[/C][/ROW]
[ROW][C]80[/C][C]2326[/C][C]2288.75654810251[/C][C]37.2434518974892[/C][/ROW]
[ROW][C]81[/C][C]1596[/C][C]1559.59203705080[/C][C]36.4079629492023[/C][/ROW]
[ROW][C]82[/C][C]1356[/C][C]1510.71249582125[/C][C]-154.712495821247[/C][/ROW]
[ROW][C]83[/C][C]1553[/C][C]1548.27143626205[/C][C]4.72856373794889[/C][/ROW]
[ROW][C]84[/C][C]1613[/C][C]1632.16622149008[/C][C]-19.1662214900787[/C][/ROW]
[ROW][C]85[/C][C]814[/C][C]866.034135880236[/C][C]-52.0341358802364[/C][/ROW]
[ROW][C]86[/C][C]1150[/C][C]1118.27300435748[/C][C]31.7269956425243[/C][/ROW]
[ROW][C]87[/C][C]1225[/C][C]1295.90142116044[/C][C]-70.9014211604406[/C][/ROW]
[ROW][C]88[/C][C]1691[/C][C]1506.94089288937[/C][C]184.059107110634[/C][/ROW]
[ROW][C]89[/C][C]1759[/C][C]1773.46513372946[/C][C]-14.4651337294576[/C][/ROW]
[ROW][C]90[/C][C]1754[/C][C]1793.43097722004[/C][C]-39.4309772200411[/C][/ROW]
[ROW][C]91[/C][C]2100[/C][C]2150.52505344624[/C][C]-50.5250534462384[/C][/ROW]
[ROW][C]92[/C][C]2062[/C][C]2474.58202317727[/C][C]-412.58202317727[/C][/ROW]
[ROW][C]93[/C][C]2012[/C][C]1649.13461538531[/C][C]362.865384614687[/C][/ROW]
[ROW][C]94[/C][C]1897[/C][C]1579.57425173296[/C][C]317.42574826704[/C][/ROW]
[ROW][C]95[/C][C]1964[/C][C]1733.10680944281[/C][C]230.893190557190[/C][/ROW]
[ROW][C]96[/C][C]2186[/C][C]1848.41951486649[/C][C]337.580485133513[/C][/ROW]
[ROW][C]97[/C][C]966[/C][C]990.716000674308[/C][C]-24.7160006743081[/C][/ROW]
[ROW][C]98[/C][C]1549[/C][C]1316.00081055352[/C][C]232.999189446478[/C][/ROW]
[ROW][C]99[/C][C]1538[/C][C]1516.72552640784[/C][C]21.2744735921622[/C][/ROW]
[ROW][C]100[/C][C]1612[/C][C]1865.30779150913[/C][C]-253.307791509130[/C][/ROW]
[ROW][C]101[/C][C]2078[/C][C]2048.08749988090[/C][C]29.9125001190969[/C][/ROW]
[ROW][C]102[/C][C]2137[/C][C]2067.22079795441[/C][C]69.7792020455922[/C][/ROW]
[ROW][C]103[/C][C]2907[/C][C]2493.16925096456[/C][C]413.830749035440[/C][/ROW]
[ROW][C]104[/C][C]2249[/C][C]2815.31344148217[/C][C]-566.313441482172[/C][/ROW]
[ROW][C]105[/C][C]1883[/C][C]2074.7657014799[/C][C]-191.765701479898[/C][/ROW]
[ROW][C]106[/C][C]1739[/C][C]1898.77284610264[/C][C]-159.772846102645[/C][/ROW]
[ROW][C]107[/C][C]1828[/C][C]1973.17415285422[/C][C]-145.174152854216[/C][/ROW]
[ROW][C]108[/C][C]1868[/C][C]2074.50887478492[/C][C]-206.508874784916[/C][/ROW]
[ROW][C]109[/C][C]1138[/C][C]1014.42752648855[/C][C]123.572473511449[/C][/ROW]
[ROW][C]110[/C][C]1430[/C][C]1448.76169452102[/C][C]-18.7616945210216[/C][/ROW]
[ROW][C]111[/C][C]1809[/C][C]1560.78133262785[/C][C]248.218667372145[/C][/ROW]
[ROW][C]112[/C][C]1763[/C][C]1872.46637985906[/C][C]-109.466379859062[/C][/ROW]
[ROW][C]113[/C][C]2200[/C][C]2167.82898868277[/C][C]32.1710113172339[/C][/ROW]
[ROW][C]114[/C][C]2067[/C][C]2198.99757413641[/C][C]-131.997574136406[/C][/ROW]
[ROW][C]115[/C][C]2503[/C][C]2712.50610912219[/C][C]-209.506109122188[/C][/ROW]
[ROW][C]116[/C][C]2141[/C][C]2677.56580949333[/C][C]-536.565809493326[/C][/ROW]
[ROW][C]117[/C][C]2103[/C][C]2039.05393585696[/C][C]63.9460641430412[/C][/ROW]
[ROW][C]118[/C][C]1972[/C][C]1900.54022236161[/C][C]71.4597776383923[/C][/ROW]
[ROW][C]119[/C][C]2181[/C][C]2012.03876025336[/C][C]168.961239746642[/C][/ROW]
[ROW][C]120[/C][C]2344[/C][C]2141.73511193062[/C][C]202.264888069379[/C][/ROW]
[ROW][C]121[/C][C]970[/C][C]1141.04354334107[/C][C]-171.043543341066[/C][/ROW]
[ROW][C]122[/C][C]1199[/C][C]1516.72816114097[/C][C]-317.728161140968[/C][/ROW]
[ROW][C]123[/C][C]1718[/C][C]1667.26490517319[/C][C]50.7350948268104[/C][/ROW]
[ROW][C]124[/C][C]1683[/C][C]1855.10955042207[/C][C]-172.109550422071[/C][/ROW]
[ROW][C]125[/C][C]2025[/C][C]2182.64731643919[/C][C]-157.647316439192[/C][/ROW]
[ROW][C]126[/C][C]2051[/C][C]2143.70912748383[/C][C]-92.709127483828[/C][/ROW]
[ROW][C]127[/C][C]2439[/C][C]2637.04671442342[/C][C]-198.046714423419[/C][/ROW]
[ROW][C]128[/C][C]2353[/C][C]2509.46343944927[/C][C]-156.463439449273[/C][/ROW]
[ROW][C]129[/C][C]2230[/C][C]2081.67868386108[/C][C]148.321316138916[/C][/ROW]
[ROW][C]130[/C][C]1852[/C][C]1953.33939339838[/C][C]-101.339393398375[/C][/ROW]
[ROW][C]131[/C][C]2147[/C][C]2069.79325703407[/C][C]77.2067429659337[/C][/ROW]
[ROW][C]132[/C][C]2286[/C][C]2196.18554403938[/C][C]89.8144559606185[/C][/ROW]
[ROW][C]133[/C][C]1007[/C][C]1084.64792832794[/C][C]-77.647928327937[/C][/ROW]
[ROW][C]134[/C][C]1665[/C][C]1430.19404726694[/C][C]234.805952733061[/C][/ROW]
[ROW][C]135[/C][C]1642[/C][C]1769.23922025062[/C][C]-127.239220250619[/C][/ROW]
[ROW][C]136[/C][C]1518[/C][C]1875.82278453689[/C][C]-357.822784536888[/C][/ROW]
[ROW][C]137[/C][C]1831[/C][C]2191.54539780048[/C][C]-360.545397800477[/C][/ROW]
[ROW][C]138[/C][C]2207[/C][C]2144.18528899211[/C][C]62.8147110078899[/C][/ROW]
[ROW][C]139[/C][C]2822[/C][C]2637.89742440655[/C][C]184.102575593454[/C][/ROW]
[ROW][C]140[/C][C]2393[/C][C]2566.47025484265[/C][C]-173.470254842647[/C][/ROW]
[ROW][C]141[/C][C]2306[/C][C]2207.31785414757[/C][C]98.6821458524314[/C][/ROW]
[ROW][C]142[/C][C]1785[/C][C]1994.72252902756[/C][C]-209.722529027564[/C][/ROW]
[ROW][C]143[/C][C]2047[/C][C]2151.56574794136[/C][C]-104.565747941355[/C][/ROW]
[ROW][C]144[/C][C]2171[/C][C]2259.77921774676[/C][C]-88.7792177467613[/C][/ROW]
[ROW][C]145[/C][C]1212[/C][C]1070.26508143285[/C][C]141.734918567153[/C][/ROW]
[ROW][C]146[/C][C]1335[/C][C]1544.13335047298[/C][C]-209.133350472983[/C][/ROW]
[ROW][C]147[/C][C]2011[/C][C]1723.90986670660[/C][C]287.090133293397[/C][/ROW]
[ROW][C]148[/C][C]1860[/C][C]1818.52528118570[/C][C]41.4747188142951[/C][/ROW]
[ROW][C]149[/C][C]1954[/C][C]2201.59379662456[/C][C]-247.593796624557[/C][/ROW]
[ROW][C]150[/C][C]2152[/C][C]2292.73539533376[/C][C]-140.735395333764[/C][/ROW]
[ROW][C]151[/C][C]2835[/C][C]2817.79631950020[/C][C]17.2036804998047[/C][/ROW]
[ROW][C]152[/C][C]2224[/C][C]2616.82823281669[/C][C]-392.828232816688[/C][/ROW]
[ROW][C]153[/C][C]2182[/C][C]2297.14668489135[/C][C]-115.146684891355[/C][/ROW]
[ROW][C]154[/C][C]1992[/C][C]1965.49774545083[/C][C]26.5022545491663[/C][/ROW]
[ROW][C]155[/C][C]2389[/C][C]2188.10276913204[/C][C]200.897230867962[/C][/ROW]
[ROW][C]156[/C][C]2724[/C][C]2345.61843415762[/C][C]378.381565842381[/C][/ROW]
[ROW][C]157[/C][C]891[/C][C]1193.66533165030[/C][C]-302.665331650297[/C][/ROW]
[ROW][C]158[/C][C]1247[/C][C]1519.99089775425[/C][C]-272.990897754245[/C][/ROW]
[ROW][C]159[/C][C]2017[/C][C]1833.60178236905[/C][C]183.398217630952[/C][/ROW]
[ROW][C]160[/C][C]2257[/C][C]1846.38991421299[/C][C]410.610085787007[/C][/ROW]
[ROW][C]161[/C][C]2255[/C][C]2205.65988299313[/C][C]49.3401170068732[/C][/ROW]
[ROW][C]162[/C][C]2255[/C][C]2371.89557184749[/C][C]-116.895571847493[/C][/ROW]
[ROW][C]163[/C][C]3057[/C][C]2974.95897107681[/C][C]82.041028923195[/C][/ROW]
[ROW][C]164[/C][C]3330[/C][C]2647.35367654457[/C][C]682.646323455434[/C][/ROW]
[ROW][C]165[/C][C]1896[/C][C]2520.14220101208[/C][C]-624.142201012083[/C][/ROW]
[ROW][C]166[/C][C]2096[/C][C]2137.97226036438[/C][C]-41.9722603643763[/C][/ROW]
[ROW][C]167[/C][C]2374[/C][C]2419.71801410648[/C][C]-45.7180141064846[/C][/ROW]
[ROW][C]168[/C][C]2535[/C][C]2603.13644850766[/C][C]-68.1364485076638[/C][/ROW]
[ROW][C]169[/C][C]1041[/C][C]1148.50094503263[/C][C]-107.50094503263[/C][/ROW]
[ROW][C]170[/C][C]1728[/C][C]1528.24102368985[/C][C]199.758976310149[/C][/ROW]
[ROW][C]171[/C][C]2201[/C][C]2076.81793642787[/C][C]124.182063572127[/C][/ROW]
[ROW][C]172[/C][C]2455[/C][C]2145.67557931209[/C][C]309.324420687911[/C][/ROW]
[ROW][C]173[/C][C]2204[/C][C]2408.11543436073[/C][C]-204.115434360731[/C][/ROW]
[ROW][C]174[/C][C]2660[/C][C]2502.41008370423[/C][C]157.589916295772[/C][/ROW]
[ROW][C]175[/C][C]3670[/C][C]3252.23288577992[/C][C]417.767114220076[/C][/ROW]
[ROW][C]176[/C][C]2665[/C][C]3109.720088842[/C][C]-444.720088841997[/C][/ROW]
[ROW][C]177[/C][C]2639[/C][C]2442.44363393001[/C][C]196.556366069986[/C][/ROW]
[ROW][C]178[/C][C]2226[/C][C]2314.42316529856[/C][C]-88.423165298559[/C][/ROW]
[ROW][C]179[/C][C]2586[/C][C]2612.65435638816[/C][C]-26.6543563881555[/C][/ROW]
[ROW][C]180[/C][C]2684[/C][C]2806.99681258423[/C][C]-122.996812584234[/C][/ROW]
[ROW][C]181[/C][C]1185[/C][C]1211.47427616192[/C][C]-26.4742761619227[/C][/ROW]
[ROW][C]182[/C][C]1749[/C][C]1730.07097698978[/C][C]18.9290230102185[/C][/ROW]
[ROW][C]183[/C][C]2459[/C][C]2271.6238317361[/C][C]187.376168263900[/C][/ROW]
[ROW][C]184[/C][C]2618[/C][C]2405.78894534087[/C][C]212.211054659133[/C][/ROW]
[ROW][C]185[/C][C]2585[/C][C]2517.28777215465[/C][C]67.7122278453548[/C][/ROW]
[ROW][C]186[/C][C]3310[/C][C]2764.81400431412[/C][C]545.185995685879[/C][/ROW]
[ROW][C]187[/C][C]3923[/C][C]3717.08072903676[/C][C]205.919270963237[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76867&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76867&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
13530488.83695900046341.163040999537
14883814.75523893239968.2447610676013
15894834.61852403814959.3814759618515
161045999.13603200943545.8639679905651
1711991167.5174428106431.4825571893605
1812871265.7678925140221.2321074859849
1915651471.5441169062293.455883093782
2015771416.67395034438160.326049655620
2110761269.32628721628-193.326287216280
229181065.59758763115-147.597587631153
2310081084.10736657534-76.1073665753388
2410631034.9518793466628.0481206533357
25544581.982552876668-37.9825528766681
26635950.01704297118-315.01704297118
27804917.750504008918-113.750504008918
289801063.42543153307-83.425431533069
2910181216.09603740948-198.096037409481
3010641282.55780968998-218.557809689982
3114041474.02347356884-70.0234735688375
3212861417.91458147561-131.914581475614
3311041148.84690724577-44.8469072457747
34999983.31927443460315.6807255653965
359961041.62335100716-45.6233510071575
3610151025.6617778338-10.6617778338000
37615559.41124784027655.5887521597242
38722858.653333515306-136.653333515306
39832906.056318391442-74.0563183914425
409771069.55862086221-92.55862086221
4112701191.2360260260578.763973973949
4214371290.50915889255146.490841107447
4315201593.93855847723-73.9385584772338
4417081512.02680738275195.973192617247
4511511278.88506606664-127.885066066642
469341101.55325635512-167.553256355115
4711591121.7000205159537.2999794840518
4812091125.0045063484183.9954936515919
49699638.41288507031560.5871149296852
50830909.400985151356-79.4009851513558
51996990.0938507714445.90614922855627
5211241179.04487730169-55.0448773016915
5314581375.8299184303182.1700815696906
5412701506.27911116513-236.279111165128
5517531718.313904188634.6860958114012
5622581723.10131469524534.898685304756
5712081397.79915781362-189.79915781362
5812411178.6847664400362.315233559967
5912651298.32903611964-33.3290361196437
6018281305.30176605923522.698233940772
61809774.56118204673334.4388179532666
629971040.77010167051-43.7701016705096
6311641168.75073612202-4.75073612201572
6412051367.6983549032-162.698354903199
6515381626.18580375515-88.1858037551515
6615131647.32610180479-134.326101804787
6713781994.8473981759-616.847398175902
6820832061.2178209405321.7821790594703
6913571428.82192211012-71.8219221101172
7015361284.72546884146251.274531158535
7115261409.0793621541116.920637845899
7213761598.65940088826-222.659400888261
73779810.73714273177-31.7371427317696
7410051051.93266238057-46.9326623805705
7511931193.37607240147-0.376072401467354
7615221351.58581532867170.414184671327
7715391689.45800268104-150.458002681038
7815461689.68549575826-143.685495758261
7921161905.13461397824210.865386021764
8023262288.7565481025137.2434518974892
8115961559.5920370508036.4079629492023
8213561510.71249582125-154.712495821247
8315531548.271436262054.72856373794889
8416131632.16622149008-19.1662214900787
85814866.034135880236-52.0341358802364
8611501118.2730043574831.7269956425243
8712251295.90142116044-70.9014211604406
8816911506.94089288937184.059107110634
8917591773.46513372946-14.4651337294576
9017541793.43097722004-39.4309772200411
9121002150.52505344624-50.5250534462384
9220622474.58202317727-412.58202317727
9320121649.13461538531362.865384614687
9418971579.57425173296317.42574826704
9519641733.10680944281230.893190557190
9621861848.41951486649337.580485133513
97966990.716000674308-24.7160006743081
9815491316.00081055352232.999189446478
9915381516.7255264078421.2744735921622
10016121865.30779150913-253.307791509130
10120782048.0874998809029.9125001190969
10221372067.2207979544169.7792020455922
10329072493.16925096456413.830749035440
10422492815.31344148217-566.313441482172
10518832074.7657014799-191.765701479898
10617391898.77284610264-159.772846102645
10718281973.17415285422-145.174152854216
10818682074.50887478492-206.508874784916
10911381014.42752648855123.572473511449
11014301448.76169452102-18.7616945210216
11118091560.78133262785248.218667372145
11217631872.46637985906-109.466379859062
11322002167.8289886827732.1710113172339
11420672198.99757413641-131.997574136406
11525032712.50610912219-209.506109122188
11621412677.56580949333-536.565809493326
11721032039.0539358569663.9460641430412
11819721900.5402223616171.4597776383923
11921812012.03876025336168.961239746642
12023442141.73511193062202.264888069379
1219701141.04354334107-171.043543341066
12211991516.72816114097-317.728161140968
12317181667.2649051731950.7350948268104
12416831855.10955042207-172.109550422071
12520252182.64731643919-157.647316439192
12620512143.70912748383-92.709127483828
12724392637.04671442342-198.046714423419
12823532509.46343944927-156.463439449273
12922302081.67868386108148.321316138916
13018521953.33939339838-101.339393398375
13121472069.7932570340777.2067429659337
13222862196.1855440393889.8144559606185
13310071084.64792832794-77.647928327937
13416651430.19404726694234.805952733061
13516421769.23922025062-127.239220250619
13615181875.82278453689-357.822784536888
13718312191.54539780048-360.545397800477
13822072144.1852889921162.8147110078899
13928222637.89742440655184.102575593454
14023932566.47025484265-173.470254842647
14123062207.3178541475798.6821458524314
14217851994.72252902756-209.722529027564
14320472151.56574794136-104.565747941355
14421712259.77921774676-88.7792177467613
14512121070.26508143285141.734918567153
14613351544.13335047298-209.133350472983
14720111723.90986670660287.090133293397
14818601818.5252811857041.4747188142951
14919542201.59379662456-247.593796624557
15021522292.73539533376-140.735395333764
15128352817.7963195002017.2036804998047
15222242616.82823281669-392.828232816688
15321822297.14668489135-115.146684891355
15419921965.4977454508326.5022545491663
15523892188.10276913204200.897230867962
15627242345.61843415762378.381565842381
1578911193.66533165030-302.665331650297
15812471519.99089775425-272.990897754245
15920171833.60178236905183.398217630952
16022571846.38991421299410.610085787007
16122552205.6598829931349.3401170068732
16222552371.89557184749-116.895571847493
16330572974.9589710768182.041028923195
16433302647.35367654457682.646323455434
16518962520.14220101208-624.142201012083
16620962137.97226036438-41.9722603643763
16723742419.71801410648-45.7180141064846
16825352603.13644850766-68.1364485076638
16910411148.50094503263-107.50094503263
17017281528.24102368985199.758976310149
17122012076.81793642787124.182063572127
17224552145.67557931209309.324420687911
17322042408.11543436073-204.115434360731
17426602502.41008370423157.589916295772
17536703252.23288577992417.767114220076
17626653109.720088842-444.720088841997
17726392442.44363393001196.556366069986
17822262314.42316529856-88.423165298559
17925862612.65435638816-26.6543563881555
18026842806.99681258423-122.996812584234
18111851211.47427616192-26.4742761619227
18217491730.0709769897818.9290230102185
18324592271.6238317361187.376168263900
18426182405.78894534087212.211054659133
18525852517.2877721546567.7122278453548
18633102764.81400431412545.185995685879
18739233717.08072903676205.919270963237







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1883262.851771364763097.721529041863427.98201368767
1892779.903028373352608.905649841842950.90040690486
1902522.426002142712346.030730136782698.82127414865
1912882.932062192482693.719101965763072.14502241921
1923070.847781003582870.962648679853270.73291332731
1931340.563108470301166.828380260701514.29783667991
1941936.536834646341739.119310279892133.95435901279
1952587.659677581352357.764237526112817.55511763658
1962714.660208545322473.435654124712955.88476296592
1972761.519808001672512.879398273703010.16021772965
1983159.455099884352884.328342920683434.58185684802
1993991.417302306353706.13597459554276.69863001720

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 3262.85177136476 & 3097.72152904186 & 3427.98201368767 \tabularnewline
189 & 2779.90302837335 & 2608.90564984184 & 2950.90040690486 \tabularnewline
190 & 2522.42600214271 & 2346.03073013678 & 2698.82127414865 \tabularnewline
191 & 2882.93206219248 & 2693.71910196576 & 3072.14502241921 \tabularnewline
192 & 3070.84778100358 & 2870.96264867985 & 3270.73291332731 \tabularnewline
193 & 1340.56310847030 & 1166.82838026070 & 1514.29783667991 \tabularnewline
194 & 1936.53683464634 & 1739.11931027989 & 2133.95435901279 \tabularnewline
195 & 2587.65967758135 & 2357.76423752611 & 2817.55511763658 \tabularnewline
196 & 2714.66020854532 & 2473.43565412471 & 2955.88476296592 \tabularnewline
197 & 2761.51980800167 & 2512.87939827370 & 3010.16021772965 \tabularnewline
198 & 3159.45509988435 & 2884.32834292068 & 3434.58185684802 \tabularnewline
199 & 3991.41730230635 & 3706.1359745955 & 4276.69863001720 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76867&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]3262.85177136476[/C][C]3097.72152904186[/C][C]3427.98201368767[/C][/ROW]
[ROW][C]189[/C][C]2779.90302837335[/C][C]2608.90564984184[/C][C]2950.90040690486[/C][/ROW]
[ROW][C]190[/C][C]2522.42600214271[/C][C]2346.03073013678[/C][C]2698.82127414865[/C][/ROW]
[ROW][C]191[/C][C]2882.93206219248[/C][C]2693.71910196576[/C][C]3072.14502241921[/C][/ROW]
[ROW][C]192[/C][C]3070.84778100358[/C][C]2870.96264867985[/C][C]3270.73291332731[/C][/ROW]
[ROW][C]193[/C][C]1340.56310847030[/C][C]1166.82838026070[/C][C]1514.29783667991[/C][/ROW]
[ROW][C]194[/C][C]1936.53683464634[/C][C]1739.11931027989[/C][C]2133.95435901279[/C][/ROW]
[ROW][C]195[/C][C]2587.65967758135[/C][C]2357.76423752611[/C][C]2817.55511763658[/C][/ROW]
[ROW][C]196[/C][C]2714.66020854532[/C][C]2473.43565412471[/C][C]2955.88476296592[/C][/ROW]
[ROW][C]197[/C][C]2761.51980800167[/C][C]2512.87939827370[/C][C]3010.16021772965[/C][/ROW]
[ROW][C]198[/C][C]3159.45509988435[/C][C]2884.32834292068[/C][C]3434.58185684802[/C][/ROW]
[ROW][C]199[/C][C]3991.41730230635[/C][C]3706.1359745955[/C][C]4276.69863001720[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76867&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76867&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
1883262.851771364763097.721529041863427.98201368767
1892779.903028373352608.905649841842950.90040690486
1902522.426002142712346.030730136782698.82127414865
1912882.932062192482693.719101965763072.14502241921
1923070.847781003582870.962648679853270.73291332731
1931340.563108470301166.828380260701514.29783667991
1941936.536834646341739.119310279892133.95435901279
1952587.659677581352357.764237526112817.55511763658
1962714.660208545322473.435654124712955.88476296592
1972761.519808001672512.879398273703010.16021772965
1983159.455099884352884.328342920683434.58185684802
1993991.417302306353706.13597459554276.69863001720



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