Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 10 Dec 2010 20:04:18 +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/Dec/10/t12920115132z31axz8zkev0vw.htm/, Retrieved Mon, 29 Apr 2024 09:07:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107922, Retrieved Mon, 29 Apr 2024 09:07:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Exponential Smoothing] [ws8ExponentialSmo...] [2010-12-07 22:07:07] [8b2514d8f13517d765015fc185a22b4b]
-    D      [Exponential Smoothing] [Blog4] [2010-12-10 20:04:18] [5876f3b3a8c6f0cebdbe74121f58174b] [Current]
Feedback Forum

Post a new message
Dataseries X:
42.33600
42.14710
40.25640
39.18980
39.13170
38.15070
38.27070
39.13350
40.12190
41.28450
42.57490
43.90190
43.18350
43.61880
44.76240
45.19720
44.38810
43.55520
43.56780
44.21350
45.14510
45.80790
42.32820
37.89990
34.79640
35.21440
36.37270
36.25020
36.82610
36.77230
36.90420
37.04940
36.82590
36.13570
36.03000
35.79270
35.91740
35.40080
35.17230
34.92110
35.02920
34.77390
34.89990
34.90540
34.56800
34.40600
34.45780
34.73160
34.26020
33.88490
34.05490
34.27550
34.13930
34.15870
34.53860
33.79870
33.49730
33.68020
34.32840
34.15380
33.91840
34.32620
34.77500
35.01190
34.55130
34.69510
35.47300
35.97940
36.47890
36.39100
36.67040
37.41620
37.11850
36.30010
35.70020
35.58590
35.67770
35.24080
34.80160
34.43890
34.98810
36.06800
36.35660
36.12540
34.87100
35.21990
34.33900
33.82340
34.51990
35.53000
35.79660
33.84840
33.98710
34.11610
33.82350
32.45400
31.87740
31.11500
31.04360
30.88680
31.30010
30.05070
28.67990
27.64380
27.23940
26.85490
27.01580
26.91880
26.49660
26.78500
26.83980
26.44780
25.17280
24.87840
25.40150
25.77160
26.11810
26.3969
26.65710
25.18390
23.83940
23.86190
24.25810
25.10980
26.16170
26.80870
25.65770
27.09820
27.46650
28.28900
28.69330
27.24010
27.27980
27.64040
26.83100
26.24670
25.22120
25.36530
26.25920
27.22790
26.33150
25.89810
26.68980




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107922&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107922&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107922&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.99993997895847
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.99993997895847 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107922&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]0.99993997895847[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107922&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107922&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
alpha0.99993997895847
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
242.147142.336-0.188899999999997
340.256442.1471113379747-1.89071133797475
439.189840.2565134824637-1.06671348246374
539.131739.1898640252542-0.0581640252542286
638.150739.1317034910654-0.98100349106538
738.270738.15075888085130.11994111914872
839.133538.27069280100910.862807198990893
940.121939.13344821341330.988451786586722
1041.284540.12184067209431.16265932790574
1142.574941.28443021597621.29046978402381
1243.901942.57482254465951.3270774553405
1343.183543.9018203474289-0.718320347428936
1443.618843.18354311433540.435256885664593
1544.762443.61877387542841.14362612457161
1645.197244.76233135836890.43486864163112
1744.388145.1971738987312-0.8090738987312
1843.555244.3881485614581-0.832948561458082
1943.567843.55524999444020.0125500055598025
2044.213543.56779924673560.645700753264407
2145.145144.21346124436830.931638755631724
2245.807945.14504408207160.66285591792844
2342.328245.8078602146974-3.47966021469742
2437.899942.3284088528303-4.42850885283026
2534.796437.9001658037138-3.10376580371377
2635.214434.79658629125620.4178137087438
2736.372735.2143749223861.15832507761397
2836.250236.3726304761224-0.122430476122418
2936.826136.25020734840470.575892651595304
3036.772336.8260654343232-0.053765434323239
3136.904236.77230322705740.131896772942632
3237.049436.90419208341830.145207916581683
3336.825937.0493912844696-0.22349128446961
3436.135736.8259134141797-0.690213414179667
3536.0336.135741427328-0.105741427327999
3635.792736.0300063467106-0.237306346710596
3735.917435.79271424337410.124685756625908
3835.400835.917392516231-0.516592516231029
3935.172335.4008310064209-0.228531006420866
4034.921135.172313716669-0.251213716669021
4135.029234.92111507810890.108084921891077
4234.773935.0291935126304-0.255293512630416
4334.899934.77391532298250.125984677017478
4434.905434.89989243826850.00550756173152678
4534.56834.9053996694304-0.337399669430411
4634.40634.5680202510796-0.162020251079568
4734.457834.40600972462420.0517902753757795
4834.731634.45779689149370.273803108506272
4934.260234.7315835660523-0.471383566052253
5033.884934.2602282929326-0.375328292932593
5134.054933.88492252759510.169977472404945
5234.275534.05488979777510.220610202224925
5334.139334.2754867587459-0.136186758745893
5434.158734.13930817407110.0193918259288992
5534.538634.15869883608240.379901163917587
5633.798734.5385771979365-0.739877197936472
5733.497333.7987444082-0.30144440820002
5833.680233.49731809300730.182881906992655
5934.328433.68018902323750.648210976762535
6034.153834.328361093702-0.174561093702046
6133.918434.1538104773387-0.235410477338654
6234.326233.9184141295820.407785870417968
6334.77534.32617552426730.448824475732664
6435.011934.77497306108750.236926938912497
6534.551335.0118857793984-0.460585779398357
6634.695134.55132764483820.143772355161808
6735.47334.69509137063350.7779086293665
6835.979435.47295330911380.50644669088615
6936.478935.97936960254210.499530397457868
7036.39136.4788700176653-0.0878700176652742
7136.670436.391005274050.27939472595002
7237.416236.67038323043760.745816769562452
7337.118537.4161552353007-0.297655235300709
7436.300137.1185178655772-0.818417865577239
7535.700236.3001491222927-0.599949122292699
7635.585935.7002360095712-0.114336009571183
7735.677735.58590686256640.0917931374336192
7835.240835.6776944904803-0.436894490480285
7934.801635.2408262228624-0.439226222862359
8034.438934.8016263628154-0.362726362815366
8134.988134.43892177121410.549178228785919
8236.06834.98806703775071.07993296224927
8336.356636.06793518129880.288664818701179
8436.125436.3565826740369-0.23118267403693
8534.87136.1254138758249-1.25441387582487
8635.219934.87107529122730.348824708772668
8734.33935.2198790631777-0.880879063177673
8833.823434.3390528712788-0.515652871278832
8934.519933.82343095002240.696469049977601
9035.5334.51985819720221.01014180279778
9135.796635.52993937023690.266660629763095
9233.848435.7965839947513-1.94818399475127
9333.987133.84851693203250.138583067967545
9434.116133.98709168209990.12900831790008
9533.823534.1160922567864-0.292592256786392
9632.45433.823517561692-1.369517561692
9731.877432.4540821998704-0.576682199870447
9831.11531.8774346130663-0.762434613066272
9931.043631.1150457621196-0.0714457621195699
10030.886831.0436042882491-0.156804288249056
10131.300130.88680941155670.413290588443303
10230.050731.3000751938684-1.24937519386843
10328.679930.0507749888004-1.3708749888004
10427.643828.6799822813446-1.03618228134464
10527.239427.6438621927397-0.404462192739739
10626.854927.2394242762421-0.384524276242068
10727.015826.85492307954760.160876920452445
10826.918827.0157903439997-0.096990343999675
10926.496626.9188058214615-0.422205821461464
11026.78526.49662534123310.288374658766855
11126.839826.78498269145260.0548173085473707
11226.447826.839796709808-0.391996709808048
11325.172826.4478235280508-1.2750235280508
11424.878425.1728765282401-0.294476528240128
11525.401524.87841767478790.523082325212069
11625.771625.4014686040540.370131395945965
11726.118125.77157778432810.346522215671886
11826.396926.11807920137570.278820798624299
11926.657126.39688326488530.260216735114735
12025.183926.6570843815205-1.47318438152053
12123.839425.1839884220609-1.34458842206094
12223.861923.83948070359750.0224192964024752
12324.258123.86189865437050.396201345629521
12425.109824.25807621958260.85172378041742
12526.161725.10974887865161.0519511213484
12626.808726.16163686079810.647063139201943
12725.657726.8086611625965-1.15096116259645
12827.098225.65776908188771.44043091811226
12927.466527.0981135438360.368386456163957
13028.28927.46647788906120.822522110938785
13128.693328.28895063136620.404349368633778
13227.240128.6932757305298-1.45317573052975
13327.279827.24018722112090.0396127788791283
13427.640427.27979762239980.360602377600244
13526.83127.6403783562697-0.809378356269718
13626.246726.8310485797319-0.584348579731934
13725.221226.2467350732104-1.02553507321037
13825.365325.22126155368320.144038446316781
13926.259225.36529135466240.893908645337568
14027.227926.25914634667210.968753653327926
14126.331527.2278418543967-0.896341854396745
14225.898126.3315537993717-0.433453799371666
14326.689825.89812601634850.79167398365151

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 42.1471 & 42.336 & -0.188899999999997 \tabularnewline
3 & 40.2564 & 42.1471113379747 & -1.89071133797475 \tabularnewline
4 & 39.1898 & 40.2565134824637 & -1.06671348246374 \tabularnewline
5 & 39.1317 & 39.1898640252542 & -0.0581640252542286 \tabularnewline
6 & 38.1507 & 39.1317034910654 & -0.98100349106538 \tabularnewline
7 & 38.2707 & 38.1507588808513 & 0.11994111914872 \tabularnewline
8 & 39.1335 & 38.2706928010091 & 0.862807198990893 \tabularnewline
9 & 40.1219 & 39.1334482134133 & 0.988451786586722 \tabularnewline
10 & 41.2845 & 40.1218406720943 & 1.16265932790574 \tabularnewline
11 & 42.5749 & 41.2844302159762 & 1.29046978402381 \tabularnewline
12 & 43.9019 & 42.5748225446595 & 1.3270774553405 \tabularnewline
13 & 43.1835 & 43.9018203474289 & -0.718320347428936 \tabularnewline
14 & 43.6188 & 43.1835431143354 & 0.435256885664593 \tabularnewline
15 & 44.7624 & 43.6187738754284 & 1.14362612457161 \tabularnewline
16 & 45.1972 & 44.7623313583689 & 0.43486864163112 \tabularnewline
17 & 44.3881 & 45.1971738987312 & -0.8090738987312 \tabularnewline
18 & 43.5552 & 44.3881485614581 & -0.832948561458082 \tabularnewline
19 & 43.5678 & 43.5552499944402 & 0.0125500055598025 \tabularnewline
20 & 44.2135 & 43.5677992467356 & 0.645700753264407 \tabularnewline
21 & 45.1451 & 44.2134612443683 & 0.931638755631724 \tabularnewline
22 & 45.8079 & 45.1450440820716 & 0.66285591792844 \tabularnewline
23 & 42.3282 & 45.8078602146974 & -3.47966021469742 \tabularnewline
24 & 37.8999 & 42.3284088528303 & -4.42850885283026 \tabularnewline
25 & 34.7964 & 37.9001658037138 & -3.10376580371377 \tabularnewline
26 & 35.2144 & 34.7965862912562 & 0.4178137087438 \tabularnewline
27 & 36.3727 & 35.214374922386 & 1.15832507761397 \tabularnewline
28 & 36.2502 & 36.3726304761224 & -0.122430476122418 \tabularnewline
29 & 36.8261 & 36.2502073484047 & 0.575892651595304 \tabularnewline
30 & 36.7723 & 36.8260654343232 & -0.053765434323239 \tabularnewline
31 & 36.9042 & 36.7723032270574 & 0.131896772942632 \tabularnewline
32 & 37.0494 & 36.9041920834183 & 0.145207916581683 \tabularnewline
33 & 36.8259 & 37.0493912844696 & -0.22349128446961 \tabularnewline
34 & 36.1357 & 36.8259134141797 & -0.690213414179667 \tabularnewline
35 & 36.03 & 36.135741427328 & -0.105741427327999 \tabularnewline
36 & 35.7927 & 36.0300063467106 & -0.237306346710596 \tabularnewline
37 & 35.9174 & 35.7927142433741 & 0.124685756625908 \tabularnewline
38 & 35.4008 & 35.917392516231 & -0.516592516231029 \tabularnewline
39 & 35.1723 & 35.4008310064209 & -0.228531006420866 \tabularnewline
40 & 34.9211 & 35.172313716669 & -0.251213716669021 \tabularnewline
41 & 35.0292 & 34.9211150781089 & 0.108084921891077 \tabularnewline
42 & 34.7739 & 35.0291935126304 & -0.255293512630416 \tabularnewline
43 & 34.8999 & 34.7739153229825 & 0.125984677017478 \tabularnewline
44 & 34.9054 & 34.8998924382685 & 0.00550756173152678 \tabularnewline
45 & 34.568 & 34.9053996694304 & -0.337399669430411 \tabularnewline
46 & 34.406 & 34.5680202510796 & -0.162020251079568 \tabularnewline
47 & 34.4578 & 34.4060097246242 & 0.0517902753757795 \tabularnewline
48 & 34.7316 & 34.4577968914937 & 0.273803108506272 \tabularnewline
49 & 34.2602 & 34.7315835660523 & -0.471383566052253 \tabularnewline
50 & 33.8849 & 34.2602282929326 & -0.375328292932593 \tabularnewline
51 & 34.0549 & 33.8849225275951 & 0.169977472404945 \tabularnewline
52 & 34.2755 & 34.0548897977751 & 0.220610202224925 \tabularnewline
53 & 34.1393 & 34.2754867587459 & -0.136186758745893 \tabularnewline
54 & 34.1587 & 34.1393081740711 & 0.0193918259288992 \tabularnewline
55 & 34.5386 & 34.1586988360824 & 0.379901163917587 \tabularnewline
56 & 33.7987 & 34.5385771979365 & -0.739877197936472 \tabularnewline
57 & 33.4973 & 33.7987444082 & -0.30144440820002 \tabularnewline
58 & 33.6802 & 33.4973180930073 & 0.182881906992655 \tabularnewline
59 & 34.3284 & 33.6801890232375 & 0.648210976762535 \tabularnewline
60 & 34.1538 & 34.328361093702 & -0.174561093702046 \tabularnewline
61 & 33.9184 & 34.1538104773387 & -0.235410477338654 \tabularnewline
62 & 34.3262 & 33.918414129582 & 0.407785870417968 \tabularnewline
63 & 34.775 & 34.3261755242673 & 0.448824475732664 \tabularnewline
64 & 35.0119 & 34.7749730610875 & 0.236926938912497 \tabularnewline
65 & 34.5513 & 35.0118857793984 & -0.460585779398357 \tabularnewline
66 & 34.6951 & 34.5513276448382 & 0.143772355161808 \tabularnewline
67 & 35.473 & 34.6950913706335 & 0.7779086293665 \tabularnewline
68 & 35.9794 & 35.4729533091138 & 0.50644669088615 \tabularnewline
69 & 36.4789 & 35.9793696025421 & 0.499530397457868 \tabularnewline
70 & 36.391 & 36.4788700176653 & -0.0878700176652742 \tabularnewline
71 & 36.6704 & 36.39100527405 & 0.27939472595002 \tabularnewline
72 & 37.4162 & 36.6703832304376 & 0.745816769562452 \tabularnewline
73 & 37.1185 & 37.4161552353007 & -0.297655235300709 \tabularnewline
74 & 36.3001 & 37.1185178655772 & -0.818417865577239 \tabularnewline
75 & 35.7002 & 36.3001491222927 & -0.599949122292699 \tabularnewline
76 & 35.5859 & 35.7002360095712 & -0.114336009571183 \tabularnewline
77 & 35.6777 & 35.5859068625664 & 0.0917931374336192 \tabularnewline
78 & 35.2408 & 35.6776944904803 & -0.436894490480285 \tabularnewline
79 & 34.8016 & 35.2408262228624 & -0.439226222862359 \tabularnewline
80 & 34.4389 & 34.8016263628154 & -0.362726362815366 \tabularnewline
81 & 34.9881 & 34.4389217712141 & 0.549178228785919 \tabularnewline
82 & 36.068 & 34.9880670377507 & 1.07993296224927 \tabularnewline
83 & 36.3566 & 36.0679351812988 & 0.288664818701179 \tabularnewline
84 & 36.1254 & 36.3565826740369 & -0.23118267403693 \tabularnewline
85 & 34.871 & 36.1254138758249 & -1.25441387582487 \tabularnewline
86 & 35.2199 & 34.8710752912273 & 0.348824708772668 \tabularnewline
87 & 34.339 & 35.2198790631777 & -0.880879063177673 \tabularnewline
88 & 33.8234 & 34.3390528712788 & -0.515652871278832 \tabularnewline
89 & 34.5199 & 33.8234309500224 & 0.696469049977601 \tabularnewline
90 & 35.53 & 34.5198581972022 & 1.01014180279778 \tabularnewline
91 & 35.7966 & 35.5299393702369 & 0.266660629763095 \tabularnewline
92 & 33.8484 & 35.7965839947513 & -1.94818399475127 \tabularnewline
93 & 33.9871 & 33.8485169320325 & 0.138583067967545 \tabularnewline
94 & 34.1161 & 33.9870916820999 & 0.12900831790008 \tabularnewline
95 & 33.8235 & 34.1160922567864 & -0.292592256786392 \tabularnewline
96 & 32.454 & 33.823517561692 & -1.369517561692 \tabularnewline
97 & 31.8774 & 32.4540821998704 & -0.576682199870447 \tabularnewline
98 & 31.115 & 31.8774346130663 & -0.762434613066272 \tabularnewline
99 & 31.0436 & 31.1150457621196 & -0.0714457621195699 \tabularnewline
100 & 30.8868 & 31.0436042882491 & -0.156804288249056 \tabularnewline
101 & 31.3001 & 30.8868094115567 & 0.413290588443303 \tabularnewline
102 & 30.0507 & 31.3000751938684 & -1.24937519386843 \tabularnewline
103 & 28.6799 & 30.0507749888004 & -1.3708749888004 \tabularnewline
104 & 27.6438 & 28.6799822813446 & -1.03618228134464 \tabularnewline
105 & 27.2394 & 27.6438621927397 & -0.404462192739739 \tabularnewline
106 & 26.8549 & 27.2394242762421 & -0.384524276242068 \tabularnewline
107 & 27.0158 & 26.8549230795476 & 0.160876920452445 \tabularnewline
108 & 26.9188 & 27.0157903439997 & -0.096990343999675 \tabularnewline
109 & 26.4966 & 26.9188058214615 & -0.422205821461464 \tabularnewline
110 & 26.785 & 26.4966253412331 & 0.288374658766855 \tabularnewline
111 & 26.8398 & 26.7849826914526 & 0.0548173085473707 \tabularnewline
112 & 26.4478 & 26.839796709808 & -0.391996709808048 \tabularnewline
113 & 25.1728 & 26.4478235280508 & -1.2750235280508 \tabularnewline
114 & 24.8784 & 25.1728765282401 & -0.294476528240128 \tabularnewline
115 & 25.4015 & 24.8784176747879 & 0.523082325212069 \tabularnewline
116 & 25.7716 & 25.401468604054 & 0.370131395945965 \tabularnewline
117 & 26.1181 & 25.7715777843281 & 0.346522215671886 \tabularnewline
118 & 26.3969 & 26.1180792013757 & 0.278820798624299 \tabularnewline
119 & 26.6571 & 26.3968832648853 & 0.260216735114735 \tabularnewline
120 & 25.1839 & 26.6570843815205 & -1.47318438152053 \tabularnewline
121 & 23.8394 & 25.1839884220609 & -1.34458842206094 \tabularnewline
122 & 23.8619 & 23.8394807035975 & 0.0224192964024752 \tabularnewline
123 & 24.2581 & 23.8618986543705 & 0.396201345629521 \tabularnewline
124 & 25.1098 & 24.2580762195826 & 0.85172378041742 \tabularnewline
125 & 26.1617 & 25.1097488786516 & 1.0519511213484 \tabularnewline
126 & 26.8087 & 26.1616368607981 & 0.647063139201943 \tabularnewline
127 & 25.6577 & 26.8086611625965 & -1.15096116259645 \tabularnewline
128 & 27.0982 & 25.6577690818877 & 1.44043091811226 \tabularnewline
129 & 27.4665 & 27.098113543836 & 0.368386456163957 \tabularnewline
130 & 28.289 & 27.4664778890612 & 0.822522110938785 \tabularnewline
131 & 28.6933 & 28.2889506313662 & 0.404349368633778 \tabularnewline
132 & 27.2401 & 28.6932757305298 & -1.45317573052975 \tabularnewline
133 & 27.2798 & 27.2401872211209 & 0.0396127788791283 \tabularnewline
134 & 27.6404 & 27.2797976223998 & 0.360602377600244 \tabularnewline
135 & 26.831 & 27.6403783562697 & -0.809378356269718 \tabularnewline
136 & 26.2467 & 26.8310485797319 & -0.584348579731934 \tabularnewline
137 & 25.2212 & 26.2467350732104 & -1.02553507321037 \tabularnewline
138 & 25.3653 & 25.2212615536832 & 0.144038446316781 \tabularnewline
139 & 26.2592 & 25.3652913546624 & 0.893908645337568 \tabularnewline
140 & 27.2279 & 26.2591463466721 & 0.968753653327926 \tabularnewline
141 & 26.3315 & 27.2278418543967 & -0.896341854396745 \tabularnewline
142 & 25.8981 & 26.3315537993717 & -0.433453799371666 \tabularnewline
143 & 26.6898 & 25.8981260163485 & 0.79167398365151 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107922&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]42.1471[/C][C]42.336[/C][C]-0.188899999999997[/C][/ROW]
[ROW][C]3[/C][C]40.2564[/C][C]42.1471113379747[/C][C]-1.89071133797475[/C][/ROW]
[ROW][C]4[/C][C]39.1898[/C][C]40.2565134824637[/C][C]-1.06671348246374[/C][/ROW]
[ROW][C]5[/C][C]39.1317[/C][C]39.1898640252542[/C][C]-0.0581640252542286[/C][/ROW]
[ROW][C]6[/C][C]38.1507[/C][C]39.1317034910654[/C][C]-0.98100349106538[/C][/ROW]
[ROW][C]7[/C][C]38.2707[/C][C]38.1507588808513[/C][C]0.11994111914872[/C][/ROW]
[ROW][C]8[/C][C]39.1335[/C][C]38.2706928010091[/C][C]0.862807198990893[/C][/ROW]
[ROW][C]9[/C][C]40.1219[/C][C]39.1334482134133[/C][C]0.988451786586722[/C][/ROW]
[ROW][C]10[/C][C]41.2845[/C][C]40.1218406720943[/C][C]1.16265932790574[/C][/ROW]
[ROW][C]11[/C][C]42.5749[/C][C]41.2844302159762[/C][C]1.29046978402381[/C][/ROW]
[ROW][C]12[/C][C]43.9019[/C][C]42.5748225446595[/C][C]1.3270774553405[/C][/ROW]
[ROW][C]13[/C][C]43.1835[/C][C]43.9018203474289[/C][C]-0.718320347428936[/C][/ROW]
[ROW][C]14[/C][C]43.6188[/C][C]43.1835431143354[/C][C]0.435256885664593[/C][/ROW]
[ROW][C]15[/C][C]44.7624[/C][C]43.6187738754284[/C][C]1.14362612457161[/C][/ROW]
[ROW][C]16[/C][C]45.1972[/C][C]44.7623313583689[/C][C]0.43486864163112[/C][/ROW]
[ROW][C]17[/C][C]44.3881[/C][C]45.1971738987312[/C][C]-0.8090738987312[/C][/ROW]
[ROW][C]18[/C][C]43.5552[/C][C]44.3881485614581[/C][C]-0.832948561458082[/C][/ROW]
[ROW][C]19[/C][C]43.5678[/C][C]43.5552499944402[/C][C]0.0125500055598025[/C][/ROW]
[ROW][C]20[/C][C]44.2135[/C][C]43.5677992467356[/C][C]0.645700753264407[/C][/ROW]
[ROW][C]21[/C][C]45.1451[/C][C]44.2134612443683[/C][C]0.931638755631724[/C][/ROW]
[ROW][C]22[/C][C]45.8079[/C][C]45.1450440820716[/C][C]0.66285591792844[/C][/ROW]
[ROW][C]23[/C][C]42.3282[/C][C]45.8078602146974[/C][C]-3.47966021469742[/C][/ROW]
[ROW][C]24[/C][C]37.8999[/C][C]42.3284088528303[/C][C]-4.42850885283026[/C][/ROW]
[ROW][C]25[/C][C]34.7964[/C][C]37.9001658037138[/C][C]-3.10376580371377[/C][/ROW]
[ROW][C]26[/C][C]35.2144[/C][C]34.7965862912562[/C][C]0.4178137087438[/C][/ROW]
[ROW][C]27[/C][C]36.3727[/C][C]35.214374922386[/C][C]1.15832507761397[/C][/ROW]
[ROW][C]28[/C][C]36.2502[/C][C]36.3726304761224[/C][C]-0.122430476122418[/C][/ROW]
[ROW][C]29[/C][C]36.8261[/C][C]36.2502073484047[/C][C]0.575892651595304[/C][/ROW]
[ROW][C]30[/C][C]36.7723[/C][C]36.8260654343232[/C][C]-0.053765434323239[/C][/ROW]
[ROW][C]31[/C][C]36.9042[/C][C]36.7723032270574[/C][C]0.131896772942632[/C][/ROW]
[ROW][C]32[/C][C]37.0494[/C][C]36.9041920834183[/C][C]0.145207916581683[/C][/ROW]
[ROW][C]33[/C][C]36.8259[/C][C]37.0493912844696[/C][C]-0.22349128446961[/C][/ROW]
[ROW][C]34[/C][C]36.1357[/C][C]36.8259134141797[/C][C]-0.690213414179667[/C][/ROW]
[ROW][C]35[/C][C]36.03[/C][C]36.135741427328[/C][C]-0.105741427327999[/C][/ROW]
[ROW][C]36[/C][C]35.7927[/C][C]36.0300063467106[/C][C]-0.237306346710596[/C][/ROW]
[ROW][C]37[/C][C]35.9174[/C][C]35.7927142433741[/C][C]0.124685756625908[/C][/ROW]
[ROW][C]38[/C][C]35.4008[/C][C]35.917392516231[/C][C]-0.516592516231029[/C][/ROW]
[ROW][C]39[/C][C]35.1723[/C][C]35.4008310064209[/C][C]-0.228531006420866[/C][/ROW]
[ROW][C]40[/C][C]34.9211[/C][C]35.172313716669[/C][C]-0.251213716669021[/C][/ROW]
[ROW][C]41[/C][C]35.0292[/C][C]34.9211150781089[/C][C]0.108084921891077[/C][/ROW]
[ROW][C]42[/C][C]34.7739[/C][C]35.0291935126304[/C][C]-0.255293512630416[/C][/ROW]
[ROW][C]43[/C][C]34.8999[/C][C]34.7739153229825[/C][C]0.125984677017478[/C][/ROW]
[ROW][C]44[/C][C]34.9054[/C][C]34.8998924382685[/C][C]0.00550756173152678[/C][/ROW]
[ROW][C]45[/C][C]34.568[/C][C]34.9053996694304[/C][C]-0.337399669430411[/C][/ROW]
[ROW][C]46[/C][C]34.406[/C][C]34.5680202510796[/C][C]-0.162020251079568[/C][/ROW]
[ROW][C]47[/C][C]34.4578[/C][C]34.4060097246242[/C][C]0.0517902753757795[/C][/ROW]
[ROW][C]48[/C][C]34.7316[/C][C]34.4577968914937[/C][C]0.273803108506272[/C][/ROW]
[ROW][C]49[/C][C]34.2602[/C][C]34.7315835660523[/C][C]-0.471383566052253[/C][/ROW]
[ROW][C]50[/C][C]33.8849[/C][C]34.2602282929326[/C][C]-0.375328292932593[/C][/ROW]
[ROW][C]51[/C][C]34.0549[/C][C]33.8849225275951[/C][C]0.169977472404945[/C][/ROW]
[ROW][C]52[/C][C]34.2755[/C][C]34.0548897977751[/C][C]0.220610202224925[/C][/ROW]
[ROW][C]53[/C][C]34.1393[/C][C]34.2754867587459[/C][C]-0.136186758745893[/C][/ROW]
[ROW][C]54[/C][C]34.1587[/C][C]34.1393081740711[/C][C]0.0193918259288992[/C][/ROW]
[ROW][C]55[/C][C]34.5386[/C][C]34.1586988360824[/C][C]0.379901163917587[/C][/ROW]
[ROW][C]56[/C][C]33.7987[/C][C]34.5385771979365[/C][C]-0.739877197936472[/C][/ROW]
[ROW][C]57[/C][C]33.4973[/C][C]33.7987444082[/C][C]-0.30144440820002[/C][/ROW]
[ROW][C]58[/C][C]33.6802[/C][C]33.4973180930073[/C][C]0.182881906992655[/C][/ROW]
[ROW][C]59[/C][C]34.3284[/C][C]33.6801890232375[/C][C]0.648210976762535[/C][/ROW]
[ROW][C]60[/C][C]34.1538[/C][C]34.328361093702[/C][C]-0.174561093702046[/C][/ROW]
[ROW][C]61[/C][C]33.9184[/C][C]34.1538104773387[/C][C]-0.235410477338654[/C][/ROW]
[ROW][C]62[/C][C]34.3262[/C][C]33.918414129582[/C][C]0.407785870417968[/C][/ROW]
[ROW][C]63[/C][C]34.775[/C][C]34.3261755242673[/C][C]0.448824475732664[/C][/ROW]
[ROW][C]64[/C][C]35.0119[/C][C]34.7749730610875[/C][C]0.236926938912497[/C][/ROW]
[ROW][C]65[/C][C]34.5513[/C][C]35.0118857793984[/C][C]-0.460585779398357[/C][/ROW]
[ROW][C]66[/C][C]34.6951[/C][C]34.5513276448382[/C][C]0.143772355161808[/C][/ROW]
[ROW][C]67[/C][C]35.473[/C][C]34.6950913706335[/C][C]0.7779086293665[/C][/ROW]
[ROW][C]68[/C][C]35.9794[/C][C]35.4729533091138[/C][C]0.50644669088615[/C][/ROW]
[ROW][C]69[/C][C]36.4789[/C][C]35.9793696025421[/C][C]0.499530397457868[/C][/ROW]
[ROW][C]70[/C][C]36.391[/C][C]36.4788700176653[/C][C]-0.0878700176652742[/C][/ROW]
[ROW][C]71[/C][C]36.6704[/C][C]36.39100527405[/C][C]0.27939472595002[/C][/ROW]
[ROW][C]72[/C][C]37.4162[/C][C]36.6703832304376[/C][C]0.745816769562452[/C][/ROW]
[ROW][C]73[/C][C]37.1185[/C][C]37.4161552353007[/C][C]-0.297655235300709[/C][/ROW]
[ROW][C]74[/C][C]36.3001[/C][C]37.1185178655772[/C][C]-0.818417865577239[/C][/ROW]
[ROW][C]75[/C][C]35.7002[/C][C]36.3001491222927[/C][C]-0.599949122292699[/C][/ROW]
[ROW][C]76[/C][C]35.5859[/C][C]35.7002360095712[/C][C]-0.114336009571183[/C][/ROW]
[ROW][C]77[/C][C]35.6777[/C][C]35.5859068625664[/C][C]0.0917931374336192[/C][/ROW]
[ROW][C]78[/C][C]35.2408[/C][C]35.6776944904803[/C][C]-0.436894490480285[/C][/ROW]
[ROW][C]79[/C][C]34.8016[/C][C]35.2408262228624[/C][C]-0.439226222862359[/C][/ROW]
[ROW][C]80[/C][C]34.4389[/C][C]34.8016263628154[/C][C]-0.362726362815366[/C][/ROW]
[ROW][C]81[/C][C]34.9881[/C][C]34.4389217712141[/C][C]0.549178228785919[/C][/ROW]
[ROW][C]82[/C][C]36.068[/C][C]34.9880670377507[/C][C]1.07993296224927[/C][/ROW]
[ROW][C]83[/C][C]36.3566[/C][C]36.0679351812988[/C][C]0.288664818701179[/C][/ROW]
[ROW][C]84[/C][C]36.1254[/C][C]36.3565826740369[/C][C]-0.23118267403693[/C][/ROW]
[ROW][C]85[/C][C]34.871[/C][C]36.1254138758249[/C][C]-1.25441387582487[/C][/ROW]
[ROW][C]86[/C][C]35.2199[/C][C]34.8710752912273[/C][C]0.348824708772668[/C][/ROW]
[ROW][C]87[/C][C]34.339[/C][C]35.2198790631777[/C][C]-0.880879063177673[/C][/ROW]
[ROW][C]88[/C][C]33.8234[/C][C]34.3390528712788[/C][C]-0.515652871278832[/C][/ROW]
[ROW][C]89[/C][C]34.5199[/C][C]33.8234309500224[/C][C]0.696469049977601[/C][/ROW]
[ROW][C]90[/C][C]35.53[/C][C]34.5198581972022[/C][C]1.01014180279778[/C][/ROW]
[ROW][C]91[/C][C]35.7966[/C][C]35.5299393702369[/C][C]0.266660629763095[/C][/ROW]
[ROW][C]92[/C][C]33.8484[/C][C]35.7965839947513[/C][C]-1.94818399475127[/C][/ROW]
[ROW][C]93[/C][C]33.9871[/C][C]33.8485169320325[/C][C]0.138583067967545[/C][/ROW]
[ROW][C]94[/C][C]34.1161[/C][C]33.9870916820999[/C][C]0.12900831790008[/C][/ROW]
[ROW][C]95[/C][C]33.8235[/C][C]34.1160922567864[/C][C]-0.292592256786392[/C][/ROW]
[ROW][C]96[/C][C]32.454[/C][C]33.823517561692[/C][C]-1.369517561692[/C][/ROW]
[ROW][C]97[/C][C]31.8774[/C][C]32.4540821998704[/C][C]-0.576682199870447[/C][/ROW]
[ROW][C]98[/C][C]31.115[/C][C]31.8774346130663[/C][C]-0.762434613066272[/C][/ROW]
[ROW][C]99[/C][C]31.0436[/C][C]31.1150457621196[/C][C]-0.0714457621195699[/C][/ROW]
[ROW][C]100[/C][C]30.8868[/C][C]31.0436042882491[/C][C]-0.156804288249056[/C][/ROW]
[ROW][C]101[/C][C]31.3001[/C][C]30.8868094115567[/C][C]0.413290588443303[/C][/ROW]
[ROW][C]102[/C][C]30.0507[/C][C]31.3000751938684[/C][C]-1.24937519386843[/C][/ROW]
[ROW][C]103[/C][C]28.6799[/C][C]30.0507749888004[/C][C]-1.3708749888004[/C][/ROW]
[ROW][C]104[/C][C]27.6438[/C][C]28.6799822813446[/C][C]-1.03618228134464[/C][/ROW]
[ROW][C]105[/C][C]27.2394[/C][C]27.6438621927397[/C][C]-0.404462192739739[/C][/ROW]
[ROW][C]106[/C][C]26.8549[/C][C]27.2394242762421[/C][C]-0.384524276242068[/C][/ROW]
[ROW][C]107[/C][C]27.0158[/C][C]26.8549230795476[/C][C]0.160876920452445[/C][/ROW]
[ROW][C]108[/C][C]26.9188[/C][C]27.0157903439997[/C][C]-0.096990343999675[/C][/ROW]
[ROW][C]109[/C][C]26.4966[/C][C]26.9188058214615[/C][C]-0.422205821461464[/C][/ROW]
[ROW][C]110[/C][C]26.785[/C][C]26.4966253412331[/C][C]0.288374658766855[/C][/ROW]
[ROW][C]111[/C][C]26.8398[/C][C]26.7849826914526[/C][C]0.0548173085473707[/C][/ROW]
[ROW][C]112[/C][C]26.4478[/C][C]26.839796709808[/C][C]-0.391996709808048[/C][/ROW]
[ROW][C]113[/C][C]25.1728[/C][C]26.4478235280508[/C][C]-1.2750235280508[/C][/ROW]
[ROW][C]114[/C][C]24.8784[/C][C]25.1728765282401[/C][C]-0.294476528240128[/C][/ROW]
[ROW][C]115[/C][C]25.4015[/C][C]24.8784176747879[/C][C]0.523082325212069[/C][/ROW]
[ROW][C]116[/C][C]25.7716[/C][C]25.401468604054[/C][C]0.370131395945965[/C][/ROW]
[ROW][C]117[/C][C]26.1181[/C][C]25.7715777843281[/C][C]0.346522215671886[/C][/ROW]
[ROW][C]118[/C][C]26.3969[/C][C]26.1180792013757[/C][C]0.278820798624299[/C][/ROW]
[ROW][C]119[/C][C]26.6571[/C][C]26.3968832648853[/C][C]0.260216735114735[/C][/ROW]
[ROW][C]120[/C][C]25.1839[/C][C]26.6570843815205[/C][C]-1.47318438152053[/C][/ROW]
[ROW][C]121[/C][C]23.8394[/C][C]25.1839884220609[/C][C]-1.34458842206094[/C][/ROW]
[ROW][C]122[/C][C]23.8619[/C][C]23.8394807035975[/C][C]0.0224192964024752[/C][/ROW]
[ROW][C]123[/C][C]24.2581[/C][C]23.8618986543705[/C][C]0.396201345629521[/C][/ROW]
[ROW][C]124[/C][C]25.1098[/C][C]24.2580762195826[/C][C]0.85172378041742[/C][/ROW]
[ROW][C]125[/C][C]26.1617[/C][C]25.1097488786516[/C][C]1.0519511213484[/C][/ROW]
[ROW][C]126[/C][C]26.8087[/C][C]26.1616368607981[/C][C]0.647063139201943[/C][/ROW]
[ROW][C]127[/C][C]25.6577[/C][C]26.8086611625965[/C][C]-1.15096116259645[/C][/ROW]
[ROW][C]128[/C][C]27.0982[/C][C]25.6577690818877[/C][C]1.44043091811226[/C][/ROW]
[ROW][C]129[/C][C]27.4665[/C][C]27.098113543836[/C][C]0.368386456163957[/C][/ROW]
[ROW][C]130[/C][C]28.289[/C][C]27.4664778890612[/C][C]0.822522110938785[/C][/ROW]
[ROW][C]131[/C][C]28.6933[/C][C]28.2889506313662[/C][C]0.404349368633778[/C][/ROW]
[ROW][C]132[/C][C]27.2401[/C][C]28.6932757305298[/C][C]-1.45317573052975[/C][/ROW]
[ROW][C]133[/C][C]27.2798[/C][C]27.2401872211209[/C][C]0.0396127788791283[/C][/ROW]
[ROW][C]134[/C][C]27.6404[/C][C]27.2797976223998[/C][C]0.360602377600244[/C][/ROW]
[ROW][C]135[/C][C]26.831[/C][C]27.6403783562697[/C][C]-0.809378356269718[/C][/ROW]
[ROW][C]136[/C][C]26.2467[/C][C]26.8310485797319[/C][C]-0.584348579731934[/C][/ROW]
[ROW][C]137[/C][C]25.2212[/C][C]26.2467350732104[/C][C]-1.02553507321037[/C][/ROW]
[ROW][C]138[/C][C]25.3653[/C][C]25.2212615536832[/C][C]0.144038446316781[/C][/ROW]
[ROW][C]139[/C][C]26.2592[/C][C]25.3652913546624[/C][C]0.893908645337568[/C][/ROW]
[ROW][C]140[/C][C]27.2279[/C][C]26.2591463466721[/C][C]0.968753653327926[/C][/ROW]
[ROW][C]141[/C][C]26.3315[/C][C]27.2278418543967[/C][C]-0.896341854396745[/C][/ROW]
[ROW][C]142[/C][C]25.8981[/C][C]26.3315537993717[/C][C]-0.433453799371666[/C][/ROW]
[ROW][C]143[/C][C]26.6898[/C][C]25.8981260163485[/C][C]0.79167398365151[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107922&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107922&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
242.147142.336-0.188899999999997
340.256442.1471113379747-1.89071133797475
439.189840.2565134824637-1.06671348246374
539.131739.1898640252542-0.0581640252542286
638.150739.1317034910654-0.98100349106538
738.270738.15075888085130.11994111914872
839.133538.27069280100910.862807198990893
940.121939.13344821341330.988451786586722
1041.284540.12184067209431.16265932790574
1142.574941.28443021597621.29046978402381
1243.901942.57482254465951.3270774553405
1343.183543.9018203474289-0.718320347428936
1443.618843.18354311433540.435256885664593
1544.762443.61877387542841.14362612457161
1645.197244.76233135836890.43486864163112
1744.388145.1971738987312-0.8090738987312
1843.555244.3881485614581-0.832948561458082
1943.567843.55524999444020.0125500055598025
2044.213543.56779924673560.645700753264407
2145.145144.21346124436830.931638755631724
2245.807945.14504408207160.66285591792844
2342.328245.8078602146974-3.47966021469742
2437.899942.3284088528303-4.42850885283026
2534.796437.9001658037138-3.10376580371377
2635.214434.79658629125620.4178137087438
2736.372735.2143749223861.15832507761397
2836.250236.3726304761224-0.122430476122418
2936.826136.25020734840470.575892651595304
3036.772336.8260654343232-0.053765434323239
3136.904236.77230322705740.131896772942632
3237.049436.90419208341830.145207916581683
3336.825937.0493912844696-0.22349128446961
3436.135736.8259134141797-0.690213414179667
3536.0336.135741427328-0.105741427327999
3635.792736.0300063467106-0.237306346710596
3735.917435.79271424337410.124685756625908
3835.400835.917392516231-0.516592516231029
3935.172335.4008310064209-0.228531006420866
4034.921135.172313716669-0.251213716669021
4135.029234.92111507810890.108084921891077
4234.773935.0291935126304-0.255293512630416
4334.899934.77391532298250.125984677017478
4434.905434.89989243826850.00550756173152678
4534.56834.9053996694304-0.337399669430411
4634.40634.5680202510796-0.162020251079568
4734.457834.40600972462420.0517902753757795
4834.731634.45779689149370.273803108506272
4934.260234.7315835660523-0.471383566052253
5033.884934.2602282929326-0.375328292932593
5134.054933.88492252759510.169977472404945
5234.275534.05488979777510.220610202224925
5334.139334.2754867587459-0.136186758745893
5434.158734.13930817407110.0193918259288992
5534.538634.15869883608240.379901163917587
5633.798734.5385771979365-0.739877197936472
5733.497333.7987444082-0.30144440820002
5833.680233.49731809300730.182881906992655
5934.328433.68018902323750.648210976762535
6034.153834.328361093702-0.174561093702046
6133.918434.1538104773387-0.235410477338654
6234.326233.9184141295820.407785870417968
6334.77534.32617552426730.448824475732664
6435.011934.77497306108750.236926938912497
6534.551335.0118857793984-0.460585779398357
6634.695134.55132764483820.143772355161808
6735.47334.69509137063350.7779086293665
6835.979435.47295330911380.50644669088615
6936.478935.97936960254210.499530397457868
7036.39136.4788700176653-0.0878700176652742
7136.670436.391005274050.27939472595002
7237.416236.67038323043760.745816769562452
7337.118537.4161552353007-0.297655235300709
7436.300137.1185178655772-0.818417865577239
7535.700236.3001491222927-0.599949122292699
7635.585935.7002360095712-0.114336009571183
7735.677735.58590686256640.0917931374336192
7835.240835.6776944904803-0.436894490480285
7934.801635.2408262228624-0.439226222862359
8034.438934.8016263628154-0.362726362815366
8134.988134.43892177121410.549178228785919
8236.06834.98806703775071.07993296224927
8336.356636.06793518129880.288664818701179
8436.125436.3565826740369-0.23118267403693
8534.87136.1254138758249-1.25441387582487
8635.219934.87107529122730.348824708772668
8734.33935.2198790631777-0.880879063177673
8833.823434.3390528712788-0.515652871278832
8934.519933.82343095002240.696469049977601
9035.5334.51985819720221.01014180279778
9135.796635.52993937023690.266660629763095
9233.848435.7965839947513-1.94818399475127
9333.987133.84851693203250.138583067967545
9434.116133.98709168209990.12900831790008
9533.823534.1160922567864-0.292592256786392
9632.45433.823517561692-1.369517561692
9731.877432.4540821998704-0.576682199870447
9831.11531.8774346130663-0.762434613066272
9931.043631.1150457621196-0.0714457621195699
10030.886831.0436042882491-0.156804288249056
10131.300130.88680941155670.413290588443303
10230.050731.3000751938684-1.24937519386843
10328.679930.0507749888004-1.3708749888004
10427.643828.6799822813446-1.03618228134464
10527.239427.6438621927397-0.404462192739739
10626.854927.2394242762421-0.384524276242068
10727.015826.85492307954760.160876920452445
10826.918827.0157903439997-0.096990343999675
10926.496626.9188058214615-0.422205821461464
11026.78526.49662534123310.288374658766855
11126.839826.78498269145260.0548173085473707
11226.447826.839796709808-0.391996709808048
11325.172826.4478235280508-1.2750235280508
11424.878425.1728765282401-0.294476528240128
11525.401524.87841767478790.523082325212069
11625.771625.4014686040540.370131395945965
11726.118125.77157778432810.346522215671886
11826.396926.11807920137570.278820798624299
11926.657126.39688326488530.260216735114735
12025.183926.6570843815205-1.47318438152053
12123.839425.1839884220609-1.34458842206094
12223.861923.83948070359750.0224192964024752
12324.258123.86189865437050.396201345629521
12425.109824.25807621958260.85172378041742
12526.161725.10974887865161.0519511213484
12626.808726.16163686079810.647063139201943
12725.657726.8086611625965-1.15096116259645
12827.098225.65776908188771.44043091811226
12927.466527.0981135438360.368386456163957
13028.28927.46647788906120.822522110938785
13128.693328.28895063136620.404349368633778
13227.240128.6932757305298-1.45317573052975
13327.279827.24018722112090.0396127788791283
13427.640427.27979762239980.360602377600244
13526.83127.6403783562697-0.809378356269718
13626.246726.8310485797319-0.584348579731934
13725.221226.2467350732104-1.02553507321037
13825.365325.22126155368320.144038446316781
13926.259225.36529135466240.893908645337568
14027.227926.25914634667210.968753653327926
14126.331527.2278418543967-0.896341854396745
14225.898126.3315537993717-0.433453799371666
14326.689825.89812601634850.79167398365151







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
14426.689752482902924.997538050096828.3819669157091
14526.689752482902924.296671700263129.0828332655428
14626.689752482902923.758868387978229.6206365778277
14726.689752482902923.305475968856630.0740289969493
14826.689752482902922.90602766875930.4734772970469

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
144 & 26.6897524829029 & 24.9975380500968 & 28.3819669157091 \tabularnewline
145 & 26.6897524829029 & 24.2966717002631 & 29.0828332655428 \tabularnewline
146 & 26.6897524829029 & 23.7588683879782 & 29.6206365778277 \tabularnewline
147 & 26.6897524829029 & 23.3054759688566 & 30.0740289969493 \tabularnewline
148 & 26.6897524829029 & 22.906027668759 & 30.4734772970469 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107922&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]144[/C][C]26.6897524829029[/C][C]24.9975380500968[/C][C]28.3819669157091[/C][/ROW]
[ROW][C]145[/C][C]26.6897524829029[/C][C]24.2966717002631[/C][C]29.0828332655428[/C][/ROW]
[ROW][C]146[/C][C]26.6897524829029[/C][C]23.7588683879782[/C][C]29.6206365778277[/C][/ROW]
[ROW][C]147[/C][C]26.6897524829029[/C][C]23.3054759688566[/C][C]30.0740289969493[/C][/ROW]
[ROW][C]148[/C][C]26.6897524829029[/C][C]22.906027668759[/C][C]30.4734772970469[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107922&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107922&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
14426.689752482902924.997538050096828.3819669157091
14526.689752482902924.296671700263129.0828332655428
14626.689752482902923.758868387978229.6206365778277
14726.689752482902923.305475968856630.0740289969493
14826.689752482902922.90602766875930.4734772970469



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ;
R code (references can be found in the software module):
par1 <- 5
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')