Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 27 Nov 2016 18:39:05 +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/2016/Nov/27/t148027196228cxbshlwwc31l5.htm/, Retrieved Mon, 29 Apr 2024 20:12:24 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 29 Apr 2024 20:12:24 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
2341
2115
2402
2180
2453
2507
2679
2622
2618
2648
2523
2473
2513
2466
2544
2537
2564
2582
2716
2904
2851
2932
2772
2811
2935
2783
3003
2995
3127
2985
3287
3236
3252
3228
2856
3176
3362
3036
3330
3251
3318
3238
3597
3708
3902
3745
3426
3526
3483
3458
3824
3696
3518
3814
3996
4136
4037
3915
3760
3955
4160
4115
4202
4018
4233
4029
4401
4645
4491
4379
4394
4472
4614
4160
4328
4202
4635
4542
4920
4774
4698
4916
4703
4616
4873
4375
4801
4427
4684
4648
5225
5174
5181
5266
4839
5032
5221
4658
5014
4980
4952
4946
5365
5456
5397
5436
4995
5019
5249
4799
5137
4979
4951
5265
5612
5572
5403
5373
5252
5437
5296
5011
5294
5335
5398
5396
5724
5898
5718
5625
5380
5488
5678
5224
5596
5184
5620
5531
5816
6086
6175
6112
5813
5740
5821
5294
5881
5589
5845
5706
6355
6404
6426
6375
5869
5994
6105
5792
6011
5968
6255
6208
6897
6814
6897
6596
6188
6406
6548
5842
6555
6424
6596
6645
7203
7128
7133
6778
6593
6591
6120
5612
6070
5983
6145
6303
6588
6640
6719
6575
6487
6510
6365
5844
5974
5880
6279
6342
6598
6801
6529
6369
6028
6187
6164
5866
6198
5898
6462
6063
6496
6678
6554
6513
6210
5928
6268
5582
5869
5764
6082
6062
6810
6727
6537
6175
6014
6109




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.703764717445406
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.703764717445406 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.703764717445406[/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=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha0.703764717445406
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
221152341-226
324022181.94917385734220.050826142662
421802336.81318134126-156.813181341257
524532226.45359708291226.546402917088
625072385.88896232013121.111037679871
726792471.12263753242207.877362467576
826222617.419390792714.58060920728622
926182620.64306193721-2.64306193720768
1026482618.7829681997829.2170318002222
1125232639.34488432925-116.344884329254
1224732557.46545968306-84.4654596830583
1325132498.0216493153114.9783506846852
1424662508.56288405272-42.5628840527206
1525442478.608627983765.3913720163036
1625372524.6287684341212.3712315658822
1725642533.3352047215330.6647952784674
1825822554.916005706227.0839942937955
1927162573.97676529767142.02323470233
2029042673.92770693864230.072293061362
2128512835.8444692569815.1555307430162
2229322846.5103970680885.4896029319225
2327722906.67496331998-134.674963319982
2428112811.89547581212-0.895475812124459
2529352811.26527153023123.734728469774
2627832898.34540774994-115.34540774994
2730032817.16937945618185.830620543822
2829952947.9504136159147.0495863840943
2931272981.06225248343145.937747516569
3029853083.76809012905-98.7680901290478
3132873014.25859308676272.741406913244
3232363206.2043722587229.7956277412823
3332523227.1734837971724.8265162028301
3432283244.64550995781-16.6455099578084
3528563232.93098734562-376.930987345617
3631762967.66025753991208.339742460089
3733623114.28241752498247.717582475016
3830363288.61731196177-252.617311961772
3933303110.83416078718219.165839212822
4032513265.07534569447-14.0753456944749
4133183255.1696140088662.8303859911434
4232383299.3874228529-61.3874228528994
4335973256.18512055413340.814879445873
4437083496.03860788854211.961392111458
4539023645.2095571172256.790442882803
4637453825.92961059529-80.9296105952935
4734263768.97420606173-342.97420606173
4835263527.60106084163-1.60106084163453
4934833526.47429071081-43.4742907108089
5034583495.87861879258-37.8786187925771
5138243469.2209833408354.779016659203
5236963718.90193775552-22.9019377555201
5335183702.78436200205-184.784362002054
5438143572.73964768935241.260352310651
5539963742.53017136403253.469828635966
5641363920.91329369496215.08670630504
5740374072.28372878399-35.2837287839893
5839154047.4522853659-132.452285365905
5937603954.23704018037-194.23704018037
6039553817.5398644804137.4601355196
6141603914.27945791436245.720542085642
6241154087.2089057857927.791094214208
6342024106.7672973529595.2327026470475
6440184173.78871342291-155.788713422915
6542334064.15011353965168.849886460346
6640294182.98070617511-153.980706175108
6744014074.61451800174326.385481998261
6846454304.31310451853340.686895481473
6944914544.0765212544-53.0765212543984
7043794506.72313827081-127.723138270811
7143944416.83609995441-22.8360999544129
7244724400.7648585224471.2351414775594
7346144450.89763773658163.102362263421
7441604565.68332562957-405.683325629574
7543284280.1777145955647.8222854044361
7642024313.83335177081-111.833351770811
7746354235.12898456085399.871015439147
7845424516.5440967559925.4559032440084
7949204534.45906330983385.540936690171
8047744805.78917168322-31.7891716832237
8146984783.41707425576-85.4170742557562
8249164723.30355112714192.696448872859
8347034858.91651302088-155.916513020882
8446164749.18797228967-133.187972289668
8548734655.4549766041217.545023395896
8643754808.55548852597-433.555488525971
8748014503.43443264659297.565567353414
8844274712.85058007654-285.850580076543
8946844511.67902735737172.32097264263
9046484632.9524479791315.047552020872
9152254643.54238417534581.457615824658
9251745052.75173888266121.248261117338
9351815138.0819871086542.9180128913476
9452665168.2861703244597.7138296755502
9548395237.05371605657-398.053716056572
9650324956.9175550479275.0824449520751
9752215009.75793070473211.242069295267
9846585158.4226459149-500.422645914899
9950144806.24284390932207.757156090682
10049804952.4550001627427.5449998372624
10149524971.84019919024-19.8401991902419
10249464957.87736701306-11.8773670130604
10353654949.51849517312415.481504826881
10454565241.9197190214214.080280978599
10553975392.581867474944.41813252506199
10654365395.6911932630740.3088067369254
10749955424.05910924685-429.059109246848
10850195122.10244646036-103.102446460362
10952495049.54258235926199.457417640744
11047995189.91367552758-390.913675527585
11151374914.80242312437222.197576875631
11249795071.1772380313-92.1772380313014
11349515006.3061501533-55.3061501533048
11452654967.38363301767297.616366982329
11556125176.83553143412435.164468565882
11655725483.0889306966788.9110693033335
11754035545.6614042627-142.661404262696
11853735445.26134140139-72.2613414013949
11952525394.40635888782-142.406358887816
12054375294.1857879627142.814212037297
12152965394.69339154432-98.6933915443196
12250115325.2364647304-314.236464730402
12352945104.08792791837189.912072081633
12453355237.7413436663797.2586563336308
12553985306.1885544601391.8114455398736
12653965370.8022104887525.1977895112504
12757245388.53552570438335.464474295617
12858985624.62358667001273.37641332999
12957185817.01626095343-99.0162609534291
13056255747.33211004104-122.332110041039
13153805661.23908718351-281.239087183507
13254885463.312940457224.6870595427981
13356785480.6868219409197.313178059103
13452245619.54887494592-395.548874945916
13555965341.17553273376254.824467266245
13651845520.51200193756-336.51200193756
13756205283.68672797698336.313272023015
13855315520.372142835410.627857164598
13958165527.8516537299288.148346270104
14060865730.64029322504355.359706774963
14161755980.729916855194.270083144999
14261126117.45034702764-5.45034702763678
14358136113.61458509175-300.614585091753
14457405902.05264655469-162.052646554687
14558215788.0057115408532.9942884591528
14652945811.22592763562-517.225927635615
14758815447.2205688177433.779431182302
14855895752.49922763734-163.49922763734
14958455637.43423989661207.565760103394
15057065783.51169840711-77.5116984071119
15163555728.96169987892626.038300121083
15264046169.54536727363234.454632726367
15364266334.5462656280791.4537343719294
15463756398.90817715766-23.9081771576584
15558696382.08244561566-513.082445615664
15659946020.99312325076-26.9931232507588
15761056001.99631549322103.003684506781
15857926074.48667441597-282.48667441597
15960115875.68251981352135.317480186477
16059685970.91418802238-2.91418802238331
16162555968.86328531223286.136714687772
16262086170.2362094752237.7637905247757
16368976196.81303284356700.18696715644
16468146689.57991594337124.420084056632
16568976777.14238124402119.857618755982
16665966861.4939444415-265.493944441501
16761886674.64867364816-486.648673648162
16864066332.1625073429873.8374926570186
16965486384.12672949963163.873270500375
17058426499.45495541018-657.454955410176
17165556036.76135448285518.238645517148
17264246401.4794284145222.5205715854827
17365966417.32861211308178.671387886916
17466456543.0712309249101.928769075102
17572036614.8051022926588.194897707404
17671287028.7559182804899.2440817195229
17771337098.6004014099534.3995985900547
17867787122.80962519191-344.809625191911
17965936880.14477674627-287.14477674627
18065916678.06241407351-87.0624140735072
18161206616.79095883295-496.79095883295
18256126267.16701006045-655.167010060446
18360705806.0835843457263.916415654296
18459835991.81864603785-8.81864603785471
18561455985.61239410077159.387605899227
18663036097.78376753074205.216232469258
18765886242.20771138968345.792288610321
18866406485.56412367832154.435876321678
18967196594.25064454128124.749355458719
19065756682.04483943718-107.044839437183
19164876606.71045825669-119.710458256685
19265106522.46246142641-12.4624614264094
19363656513.69182078198-148.691820781978
19458446409.04776354291-565.047763542907
19559746011.38708388997-37.3870838899747
19658805985.07537336004-105.07537336004
19762795911.12703291684367.872967083159
19863426170.02304765192171.976952348076
19965986291.05435892829306.94564107171
20068016507.07187128822293.928128711779
20165296713.92811774032-184.928117740323
20263696583.78223321109-214.782233211094
20360286432.62607554299-404.626075542995
20461876147.8645198174439.1354801825637
20561646175.40668997021-11.4066899702084
20658666167.37906402634-301.379064026338
20761985955.27911218788242.720887812118
20858986126.09750921708-228.097509217076
20964625965.57053009292496.42946990708
21060636314.94007571365-251.940075713649
21164966137.63353951586358.366460484141
21266786389.83921032039288.160789679609
21365546592.63660704811-38.6366070481054
21465136565.44552620585-52.4455262058464
21562106528.53621527431-318.536215274313
21659286304.36166573566-376.361665735657
21762686039.49160439192228.50839560808
21855826200.30775086094-618.307750860943
21958695765.16457128199103.835428718014
22057645838.24028243454-74.2402824345418
22160825785.99259104393296.00740895607
22260625994.3121615696567.6878384303545
22368106041.94847405707768.051525942926
22467276582.47603919581144.523960804189
22565376684.18690363526-147.186903635262
22661756580.60195398673-405.601953986728
22760146295.15360944395-281.153609443954
22861096097.2876189348711.7123810651256

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 2115 & 2341 & -226 \tabularnewline
3 & 2402 & 2181.94917385734 & 220.050826142662 \tabularnewline
4 & 2180 & 2336.81318134126 & -156.813181341257 \tabularnewline
5 & 2453 & 2226.45359708291 & 226.546402917088 \tabularnewline
6 & 2507 & 2385.88896232013 & 121.111037679871 \tabularnewline
7 & 2679 & 2471.12263753242 & 207.877362467576 \tabularnewline
8 & 2622 & 2617.41939079271 & 4.58060920728622 \tabularnewline
9 & 2618 & 2620.64306193721 & -2.64306193720768 \tabularnewline
10 & 2648 & 2618.78296819978 & 29.2170318002222 \tabularnewline
11 & 2523 & 2639.34488432925 & -116.344884329254 \tabularnewline
12 & 2473 & 2557.46545968306 & -84.4654596830583 \tabularnewline
13 & 2513 & 2498.02164931531 & 14.9783506846852 \tabularnewline
14 & 2466 & 2508.56288405272 & -42.5628840527206 \tabularnewline
15 & 2544 & 2478.6086279837 & 65.3913720163036 \tabularnewline
16 & 2537 & 2524.62876843412 & 12.3712315658822 \tabularnewline
17 & 2564 & 2533.33520472153 & 30.6647952784674 \tabularnewline
18 & 2582 & 2554.9160057062 & 27.0839942937955 \tabularnewline
19 & 2716 & 2573.97676529767 & 142.02323470233 \tabularnewline
20 & 2904 & 2673.92770693864 & 230.072293061362 \tabularnewline
21 & 2851 & 2835.84446925698 & 15.1555307430162 \tabularnewline
22 & 2932 & 2846.51039706808 & 85.4896029319225 \tabularnewline
23 & 2772 & 2906.67496331998 & -134.674963319982 \tabularnewline
24 & 2811 & 2811.89547581212 & -0.895475812124459 \tabularnewline
25 & 2935 & 2811.26527153023 & 123.734728469774 \tabularnewline
26 & 2783 & 2898.34540774994 & -115.34540774994 \tabularnewline
27 & 3003 & 2817.16937945618 & 185.830620543822 \tabularnewline
28 & 2995 & 2947.95041361591 & 47.0495863840943 \tabularnewline
29 & 3127 & 2981.06225248343 & 145.937747516569 \tabularnewline
30 & 2985 & 3083.76809012905 & -98.7680901290478 \tabularnewline
31 & 3287 & 3014.25859308676 & 272.741406913244 \tabularnewline
32 & 3236 & 3206.20437225872 & 29.7956277412823 \tabularnewline
33 & 3252 & 3227.17348379717 & 24.8265162028301 \tabularnewline
34 & 3228 & 3244.64550995781 & -16.6455099578084 \tabularnewline
35 & 2856 & 3232.93098734562 & -376.930987345617 \tabularnewline
36 & 3176 & 2967.66025753991 & 208.339742460089 \tabularnewline
37 & 3362 & 3114.28241752498 & 247.717582475016 \tabularnewline
38 & 3036 & 3288.61731196177 & -252.617311961772 \tabularnewline
39 & 3330 & 3110.83416078718 & 219.165839212822 \tabularnewline
40 & 3251 & 3265.07534569447 & -14.0753456944749 \tabularnewline
41 & 3318 & 3255.16961400886 & 62.8303859911434 \tabularnewline
42 & 3238 & 3299.3874228529 & -61.3874228528994 \tabularnewline
43 & 3597 & 3256.18512055413 & 340.814879445873 \tabularnewline
44 & 3708 & 3496.03860788854 & 211.961392111458 \tabularnewline
45 & 3902 & 3645.2095571172 & 256.790442882803 \tabularnewline
46 & 3745 & 3825.92961059529 & -80.9296105952935 \tabularnewline
47 & 3426 & 3768.97420606173 & -342.97420606173 \tabularnewline
48 & 3526 & 3527.60106084163 & -1.60106084163453 \tabularnewline
49 & 3483 & 3526.47429071081 & -43.4742907108089 \tabularnewline
50 & 3458 & 3495.87861879258 & -37.8786187925771 \tabularnewline
51 & 3824 & 3469.2209833408 & 354.779016659203 \tabularnewline
52 & 3696 & 3718.90193775552 & -22.9019377555201 \tabularnewline
53 & 3518 & 3702.78436200205 & -184.784362002054 \tabularnewline
54 & 3814 & 3572.73964768935 & 241.260352310651 \tabularnewline
55 & 3996 & 3742.53017136403 & 253.469828635966 \tabularnewline
56 & 4136 & 3920.91329369496 & 215.08670630504 \tabularnewline
57 & 4037 & 4072.28372878399 & -35.2837287839893 \tabularnewline
58 & 3915 & 4047.4522853659 & -132.452285365905 \tabularnewline
59 & 3760 & 3954.23704018037 & -194.23704018037 \tabularnewline
60 & 3955 & 3817.5398644804 & 137.4601355196 \tabularnewline
61 & 4160 & 3914.27945791436 & 245.720542085642 \tabularnewline
62 & 4115 & 4087.20890578579 & 27.791094214208 \tabularnewline
63 & 4202 & 4106.76729735295 & 95.2327026470475 \tabularnewline
64 & 4018 & 4173.78871342291 & -155.788713422915 \tabularnewline
65 & 4233 & 4064.15011353965 & 168.849886460346 \tabularnewline
66 & 4029 & 4182.98070617511 & -153.980706175108 \tabularnewline
67 & 4401 & 4074.61451800174 & 326.385481998261 \tabularnewline
68 & 4645 & 4304.31310451853 & 340.686895481473 \tabularnewline
69 & 4491 & 4544.0765212544 & -53.0765212543984 \tabularnewline
70 & 4379 & 4506.72313827081 & -127.723138270811 \tabularnewline
71 & 4394 & 4416.83609995441 & -22.8360999544129 \tabularnewline
72 & 4472 & 4400.76485852244 & 71.2351414775594 \tabularnewline
73 & 4614 & 4450.89763773658 & 163.102362263421 \tabularnewline
74 & 4160 & 4565.68332562957 & -405.683325629574 \tabularnewline
75 & 4328 & 4280.17771459556 & 47.8222854044361 \tabularnewline
76 & 4202 & 4313.83335177081 & -111.833351770811 \tabularnewline
77 & 4635 & 4235.12898456085 & 399.871015439147 \tabularnewline
78 & 4542 & 4516.54409675599 & 25.4559032440084 \tabularnewline
79 & 4920 & 4534.45906330983 & 385.540936690171 \tabularnewline
80 & 4774 & 4805.78917168322 & -31.7891716832237 \tabularnewline
81 & 4698 & 4783.41707425576 & -85.4170742557562 \tabularnewline
82 & 4916 & 4723.30355112714 & 192.696448872859 \tabularnewline
83 & 4703 & 4858.91651302088 & -155.916513020882 \tabularnewline
84 & 4616 & 4749.18797228967 & -133.187972289668 \tabularnewline
85 & 4873 & 4655.4549766041 & 217.545023395896 \tabularnewline
86 & 4375 & 4808.55548852597 & -433.555488525971 \tabularnewline
87 & 4801 & 4503.43443264659 & 297.565567353414 \tabularnewline
88 & 4427 & 4712.85058007654 & -285.850580076543 \tabularnewline
89 & 4684 & 4511.67902735737 & 172.32097264263 \tabularnewline
90 & 4648 & 4632.95244797913 & 15.047552020872 \tabularnewline
91 & 5225 & 4643.54238417534 & 581.457615824658 \tabularnewline
92 & 5174 & 5052.75173888266 & 121.248261117338 \tabularnewline
93 & 5181 & 5138.08198710865 & 42.9180128913476 \tabularnewline
94 & 5266 & 5168.28617032445 & 97.7138296755502 \tabularnewline
95 & 4839 & 5237.05371605657 & -398.053716056572 \tabularnewline
96 & 5032 & 4956.91755504792 & 75.0824449520751 \tabularnewline
97 & 5221 & 5009.75793070473 & 211.242069295267 \tabularnewline
98 & 4658 & 5158.4226459149 & -500.422645914899 \tabularnewline
99 & 5014 & 4806.24284390932 & 207.757156090682 \tabularnewline
100 & 4980 & 4952.45500016274 & 27.5449998372624 \tabularnewline
101 & 4952 & 4971.84019919024 & -19.8401991902419 \tabularnewline
102 & 4946 & 4957.87736701306 & -11.8773670130604 \tabularnewline
103 & 5365 & 4949.51849517312 & 415.481504826881 \tabularnewline
104 & 5456 & 5241.9197190214 & 214.080280978599 \tabularnewline
105 & 5397 & 5392.58186747494 & 4.41813252506199 \tabularnewline
106 & 5436 & 5395.69119326307 & 40.3088067369254 \tabularnewline
107 & 4995 & 5424.05910924685 & -429.059109246848 \tabularnewline
108 & 5019 & 5122.10244646036 & -103.102446460362 \tabularnewline
109 & 5249 & 5049.54258235926 & 199.457417640744 \tabularnewline
110 & 4799 & 5189.91367552758 & -390.913675527585 \tabularnewline
111 & 5137 & 4914.80242312437 & 222.197576875631 \tabularnewline
112 & 4979 & 5071.1772380313 & -92.1772380313014 \tabularnewline
113 & 4951 & 5006.3061501533 & -55.3061501533048 \tabularnewline
114 & 5265 & 4967.38363301767 & 297.616366982329 \tabularnewline
115 & 5612 & 5176.83553143412 & 435.164468565882 \tabularnewline
116 & 5572 & 5483.08893069667 & 88.9110693033335 \tabularnewline
117 & 5403 & 5545.6614042627 & -142.661404262696 \tabularnewline
118 & 5373 & 5445.26134140139 & -72.2613414013949 \tabularnewline
119 & 5252 & 5394.40635888782 & -142.406358887816 \tabularnewline
120 & 5437 & 5294.1857879627 & 142.814212037297 \tabularnewline
121 & 5296 & 5394.69339154432 & -98.6933915443196 \tabularnewline
122 & 5011 & 5325.2364647304 & -314.236464730402 \tabularnewline
123 & 5294 & 5104.08792791837 & 189.912072081633 \tabularnewline
124 & 5335 & 5237.74134366637 & 97.2586563336308 \tabularnewline
125 & 5398 & 5306.18855446013 & 91.8114455398736 \tabularnewline
126 & 5396 & 5370.80221048875 & 25.1977895112504 \tabularnewline
127 & 5724 & 5388.53552570438 & 335.464474295617 \tabularnewline
128 & 5898 & 5624.62358667001 & 273.37641332999 \tabularnewline
129 & 5718 & 5817.01626095343 & -99.0162609534291 \tabularnewline
130 & 5625 & 5747.33211004104 & -122.332110041039 \tabularnewline
131 & 5380 & 5661.23908718351 & -281.239087183507 \tabularnewline
132 & 5488 & 5463.3129404572 & 24.6870595427981 \tabularnewline
133 & 5678 & 5480.6868219409 & 197.313178059103 \tabularnewline
134 & 5224 & 5619.54887494592 & -395.548874945916 \tabularnewline
135 & 5596 & 5341.17553273376 & 254.824467266245 \tabularnewline
136 & 5184 & 5520.51200193756 & -336.51200193756 \tabularnewline
137 & 5620 & 5283.68672797698 & 336.313272023015 \tabularnewline
138 & 5531 & 5520.3721428354 & 10.627857164598 \tabularnewline
139 & 5816 & 5527.8516537299 & 288.148346270104 \tabularnewline
140 & 6086 & 5730.64029322504 & 355.359706774963 \tabularnewline
141 & 6175 & 5980.729916855 & 194.270083144999 \tabularnewline
142 & 6112 & 6117.45034702764 & -5.45034702763678 \tabularnewline
143 & 5813 & 6113.61458509175 & -300.614585091753 \tabularnewline
144 & 5740 & 5902.05264655469 & -162.052646554687 \tabularnewline
145 & 5821 & 5788.00571154085 & 32.9942884591528 \tabularnewline
146 & 5294 & 5811.22592763562 & -517.225927635615 \tabularnewline
147 & 5881 & 5447.2205688177 & 433.779431182302 \tabularnewline
148 & 5589 & 5752.49922763734 & -163.49922763734 \tabularnewline
149 & 5845 & 5637.43423989661 & 207.565760103394 \tabularnewline
150 & 5706 & 5783.51169840711 & -77.5116984071119 \tabularnewline
151 & 6355 & 5728.96169987892 & 626.038300121083 \tabularnewline
152 & 6404 & 6169.54536727363 & 234.454632726367 \tabularnewline
153 & 6426 & 6334.54626562807 & 91.4537343719294 \tabularnewline
154 & 6375 & 6398.90817715766 & -23.9081771576584 \tabularnewline
155 & 5869 & 6382.08244561566 & -513.082445615664 \tabularnewline
156 & 5994 & 6020.99312325076 & -26.9931232507588 \tabularnewline
157 & 6105 & 6001.99631549322 & 103.003684506781 \tabularnewline
158 & 5792 & 6074.48667441597 & -282.48667441597 \tabularnewline
159 & 6011 & 5875.68251981352 & 135.317480186477 \tabularnewline
160 & 5968 & 5970.91418802238 & -2.91418802238331 \tabularnewline
161 & 6255 & 5968.86328531223 & 286.136714687772 \tabularnewline
162 & 6208 & 6170.23620947522 & 37.7637905247757 \tabularnewline
163 & 6897 & 6196.81303284356 & 700.18696715644 \tabularnewline
164 & 6814 & 6689.57991594337 & 124.420084056632 \tabularnewline
165 & 6897 & 6777.14238124402 & 119.857618755982 \tabularnewline
166 & 6596 & 6861.4939444415 & -265.493944441501 \tabularnewline
167 & 6188 & 6674.64867364816 & -486.648673648162 \tabularnewline
168 & 6406 & 6332.16250734298 & 73.8374926570186 \tabularnewline
169 & 6548 & 6384.12672949963 & 163.873270500375 \tabularnewline
170 & 5842 & 6499.45495541018 & -657.454955410176 \tabularnewline
171 & 6555 & 6036.76135448285 & 518.238645517148 \tabularnewline
172 & 6424 & 6401.47942841452 & 22.5205715854827 \tabularnewline
173 & 6596 & 6417.32861211308 & 178.671387886916 \tabularnewline
174 & 6645 & 6543.0712309249 & 101.928769075102 \tabularnewline
175 & 7203 & 6614.8051022926 & 588.194897707404 \tabularnewline
176 & 7128 & 7028.75591828048 & 99.2440817195229 \tabularnewline
177 & 7133 & 7098.60040140995 & 34.3995985900547 \tabularnewline
178 & 6778 & 7122.80962519191 & -344.809625191911 \tabularnewline
179 & 6593 & 6880.14477674627 & -287.14477674627 \tabularnewline
180 & 6591 & 6678.06241407351 & -87.0624140735072 \tabularnewline
181 & 6120 & 6616.79095883295 & -496.79095883295 \tabularnewline
182 & 5612 & 6267.16701006045 & -655.167010060446 \tabularnewline
183 & 6070 & 5806.0835843457 & 263.916415654296 \tabularnewline
184 & 5983 & 5991.81864603785 & -8.81864603785471 \tabularnewline
185 & 6145 & 5985.61239410077 & 159.387605899227 \tabularnewline
186 & 6303 & 6097.78376753074 & 205.216232469258 \tabularnewline
187 & 6588 & 6242.20771138968 & 345.792288610321 \tabularnewline
188 & 6640 & 6485.56412367832 & 154.435876321678 \tabularnewline
189 & 6719 & 6594.25064454128 & 124.749355458719 \tabularnewline
190 & 6575 & 6682.04483943718 & -107.044839437183 \tabularnewline
191 & 6487 & 6606.71045825669 & -119.710458256685 \tabularnewline
192 & 6510 & 6522.46246142641 & -12.4624614264094 \tabularnewline
193 & 6365 & 6513.69182078198 & -148.691820781978 \tabularnewline
194 & 5844 & 6409.04776354291 & -565.047763542907 \tabularnewline
195 & 5974 & 6011.38708388997 & -37.3870838899747 \tabularnewline
196 & 5880 & 5985.07537336004 & -105.07537336004 \tabularnewline
197 & 6279 & 5911.12703291684 & 367.872967083159 \tabularnewline
198 & 6342 & 6170.02304765192 & 171.976952348076 \tabularnewline
199 & 6598 & 6291.05435892829 & 306.94564107171 \tabularnewline
200 & 6801 & 6507.07187128822 & 293.928128711779 \tabularnewline
201 & 6529 & 6713.92811774032 & -184.928117740323 \tabularnewline
202 & 6369 & 6583.78223321109 & -214.782233211094 \tabularnewline
203 & 6028 & 6432.62607554299 & -404.626075542995 \tabularnewline
204 & 6187 & 6147.86451981744 & 39.1354801825637 \tabularnewline
205 & 6164 & 6175.40668997021 & -11.4066899702084 \tabularnewline
206 & 5866 & 6167.37906402634 & -301.379064026338 \tabularnewline
207 & 6198 & 5955.27911218788 & 242.720887812118 \tabularnewline
208 & 5898 & 6126.09750921708 & -228.097509217076 \tabularnewline
209 & 6462 & 5965.57053009292 & 496.42946990708 \tabularnewline
210 & 6063 & 6314.94007571365 & -251.940075713649 \tabularnewline
211 & 6496 & 6137.63353951586 & 358.366460484141 \tabularnewline
212 & 6678 & 6389.83921032039 & 288.160789679609 \tabularnewline
213 & 6554 & 6592.63660704811 & -38.6366070481054 \tabularnewline
214 & 6513 & 6565.44552620585 & -52.4455262058464 \tabularnewline
215 & 6210 & 6528.53621527431 & -318.536215274313 \tabularnewline
216 & 5928 & 6304.36166573566 & -376.361665735657 \tabularnewline
217 & 6268 & 6039.49160439192 & 228.50839560808 \tabularnewline
218 & 5582 & 6200.30775086094 & -618.307750860943 \tabularnewline
219 & 5869 & 5765.16457128199 & 103.835428718014 \tabularnewline
220 & 5764 & 5838.24028243454 & -74.2402824345418 \tabularnewline
221 & 6082 & 5785.99259104393 & 296.00740895607 \tabularnewline
222 & 6062 & 5994.31216156965 & 67.6878384303545 \tabularnewline
223 & 6810 & 6041.94847405707 & 768.051525942926 \tabularnewline
224 & 6727 & 6582.47603919581 & 144.523960804189 \tabularnewline
225 & 6537 & 6684.18690363526 & -147.186903635262 \tabularnewline
226 & 6175 & 6580.60195398673 & -405.601953986728 \tabularnewline
227 & 6014 & 6295.15360944395 & -281.153609443954 \tabularnewline
228 & 6109 & 6097.28761893487 & 11.7123810651256 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]2115[/C][C]2341[/C][C]-226[/C][/ROW]
[ROW][C]3[/C][C]2402[/C][C]2181.94917385734[/C][C]220.050826142662[/C][/ROW]
[ROW][C]4[/C][C]2180[/C][C]2336.81318134126[/C][C]-156.813181341257[/C][/ROW]
[ROW][C]5[/C][C]2453[/C][C]2226.45359708291[/C][C]226.546402917088[/C][/ROW]
[ROW][C]6[/C][C]2507[/C][C]2385.88896232013[/C][C]121.111037679871[/C][/ROW]
[ROW][C]7[/C][C]2679[/C][C]2471.12263753242[/C][C]207.877362467576[/C][/ROW]
[ROW][C]8[/C][C]2622[/C][C]2617.41939079271[/C][C]4.58060920728622[/C][/ROW]
[ROW][C]9[/C][C]2618[/C][C]2620.64306193721[/C][C]-2.64306193720768[/C][/ROW]
[ROW][C]10[/C][C]2648[/C][C]2618.78296819978[/C][C]29.2170318002222[/C][/ROW]
[ROW][C]11[/C][C]2523[/C][C]2639.34488432925[/C][C]-116.344884329254[/C][/ROW]
[ROW][C]12[/C][C]2473[/C][C]2557.46545968306[/C][C]-84.4654596830583[/C][/ROW]
[ROW][C]13[/C][C]2513[/C][C]2498.02164931531[/C][C]14.9783506846852[/C][/ROW]
[ROW][C]14[/C][C]2466[/C][C]2508.56288405272[/C][C]-42.5628840527206[/C][/ROW]
[ROW][C]15[/C][C]2544[/C][C]2478.6086279837[/C][C]65.3913720163036[/C][/ROW]
[ROW][C]16[/C][C]2537[/C][C]2524.62876843412[/C][C]12.3712315658822[/C][/ROW]
[ROW][C]17[/C][C]2564[/C][C]2533.33520472153[/C][C]30.6647952784674[/C][/ROW]
[ROW][C]18[/C][C]2582[/C][C]2554.9160057062[/C][C]27.0839942937955[/C][/ROW]
[ROW][C]19[/C][C]2716[/C][C]2573.97676529767[/C][C]142.02323470233[/C][/ROW]
[ROW][C]20[/C][C]2904[/C][C]2673.92770693864[/C][C]230.072293061362[/C][/ROW]
[ROW][C]21[/C][C]2851[/C][C]2835.84446925698[/C][C]15.1555307430162[/C][/ROW]
[ROW][C]22[/C][C]2932[/C][C]2846.51039706808[/C][C]85.4896029319225[/C][/ROW]
[ROW][C]23[/C][C]2772[/C][C]2906.67496331998[/C][C]-134.674963319982[/C][/ROW]
[ROW][C]24[/C][C]2811[/C][C]2811.89547581212[/C][C]-0.895475812124459[/C][/ROW]
[ROW][C]25[/C][C]2935[/C][C]2811.26527153023[/C][C]123.734728469774[/C][/ROW]
[ROW][C]26[/C][C]2783[/C][C]2898.34540774994[/C][C]-115.34540774994[/C][/ROW]
[ROW][C]27[/C][C]3003[/C][C]2817.16937945618[/C][C]185.830620543822[/C][/ROW]
[ROW][C]28[/C][C]2995[/C][C]2947.95041361591[/C][C]47.0495863840943[/C][/ROW]
[ROW][C]29[/C][C]3127[/C][C]2981.06225248343[/C][C]145.937747516569[/C][/ROW]
[ROW][C]30[/C][C]2985[/C][C]3083.76809012905[/C][C]-98.7680901290478[/C][/ROW]
[ROW][C]31[/C][C]3287[/C][C]3014.25859308676[/C][C]272.741406913244[/C][/ROW]
[ROW][C]32[/C][C]3236[/C][C]3206.20437225872[/C][C]29.7956277412823[/C][/ROW]
[ROW][C]33[/C][C]3252[/C][C]3227.17348379717[/C][C]24.8265162028301[/C][/ROW]
[ROW][C]34[/C][C]3228[/C][C]3244.64550995781[/C][C]-16.6455099578084[/C][/ROW]
[ROW][C]35[/C][C]2856[/C][C]3232.93098734562[/C][C]-376.930987345617[/C][/ROW]
[ROW][C]36[/C][C]3176[/C][C]2967.66025753991[/C][C]208.339742460089[/C][/ROW]
[ROW][C]37[/C][C]3362[/C][C]3114.28241752498[/C][C]247.717582475016[/C][/ROW]
[ROW][C]38[/C][C]3036[/C][C]3288.61731196177[/C][C]-252.617311961772[/C][/ROW]
[ROW][C]39[/C][C]3330[/C][C]3110.83416078718[/C][C]219.165839212822[/C][/ROW]
[ROW][C]40[/C][C]3251[/C][C]3265.07534569447[/C][C]-14.0753456944749[/C][/ROW]
[ROW][C]41[/C][C]3318[/C][C]3255.16961400886[/C][C]62.8303859911434[/C][/ROW]
[ROW][C]42[/C][C]3238[/C][C]3299.3874228529[/C][C]-61.3874228528994[/C][/ROW]
[ROW][C]43[/C][C]3597[/C][C]3256.18512055413[/C][C]340.814879445873[/C][/ROW]
[ROW][C]44[/C][C]3708[/C][C]3496.03860788854[/C][C]211.961392111458[/C][/ROW]
[ROW][C]45[/C][C]3902[/C][C]3645.2095571172[/C][C]256.790442882803[/C][/ROW]
[ROW][C]46[/C][C]3745[/C][C]3825.92961059529[/C][C]-80.9296105952935[/C][/ROW]
[ROW][C]47[/C][C]3426[/C][C]3768.97420606173[/C][C]-342.97420606173[/C][/ROW]
[ROW][C]48[/C][C]3526[/C][C]3527.60106084163[/C][C]-1.60106084163453[/C][/ROW]
[ROW][C]49[/C][C]3483[/C][C]3526.47429071081[/C][C]-43.4742907108089[/C][/ROW]
[ROW][C]50[/C][C]3458[/C][C]3495.87861879258[/C][C]-37.8786187925771[/C][/ROW]
[ROW][C]51[/C][C]3824[/C][C]3469.2209833408[/C][C]354.779016659203[/C][/ROW]
[ROW][C]52[/C][C]3696[/C][C]3718.90193775552[/C][C]-22.9019377555201[/C][/ROW]
[ROW][C]53[/C][C]3518[/C][C]3702.78436200205[/C][C]-184.784362002054[/C][/ROW]
[ROW][C]54[/C][C]3814[/C][C]3572.73964768935[/C][C]241.260352310651[/C][/ROW]
[ROW][C]55[/C][C]3996[/C][C]3742.53017136403[/C][C]253.469828635966[/C][/ROW]
[ROW][C]56[/C][C]4136[/C][C]3920.91329369496[/C][C]215.08670630504[/C][/ROW]
[ROW][C]57[/C][C]4037[/C][C]4072.28372878399[/C][C]-35.2837287839893[/C][/ROW]
[ROW][C]58[/C][C]3915[/C][C]4047.4522853659[/C][C]-132.452285365905[/C][/ROW]
[ROW][C]59[/C][C]3760[/C][C]3954.23704018037[/C][C]-194.23704018037[/C][/ROW]
[ROW][C]60[/C][C]3955[/C][C]3817.5398644804[/C][C]137.4601355196[/C][/ROW]
[ROW][C]61[/C][C]4160[/C][C]3914.27945791436[/C][C]245.720542085642[/C][/ROW]
[ROW][C]62[/C][C]4115[/C][C]4087.20890578579[/C][C]27.791094214208[/C][/ROW]
[ROW][C]63[/C][C]4202[/C][C]4106.76729735295[/C][C]95.2327026470475[/C][/ROW]
[ROW][C]64[/C][C]4018[/C][C]4173.78871342291[/C][C]-155.788713422915[/C][/ROW]
[ROW][C]65[/C][C]4233[/C][C]4064.15011353965[/C][C]168.849886460346[/C][/ROW]
[ROW][C]66[/C][C]4029[/C][C]4182.98070617511[/C][C]-153.980706175108[/C][/ROW]
[ROW][C]67[/C][C]4401[/C][C]4074.61451800174[/C][C]326.385481998261[/C][/ROW]
[ROW][C]68[/C][C]4645[/C][C]4304.31310451853[/C][C]340.686895481473[/C][/ROW]
[ROW][C]69[/C][C]4491[/C][C]4544.0765212544[/C][C]-53.0765212543984[/C][/ROW]
[ROW][C]70[/C][C]4379[/C][C]4506.72313827081[/C][C]-127.723138270811[/C][/ROW]
[ROW][C]71[/C][C]4394[/C][C]4416.83609995441[/C][C]-22.8360999544129[/C][/ROW]
[ROW][C]72[/C][C]4472[/C][C]4400.76485852244[/C][C]71.2351414775594[/C][/ROW]
[ROW][C]73[/C][C]4614[/C][C]4450.89763773658[/C][C]163.102362263421[/C][/ROW]
[ROW][C]74[/C][C]4160[/C][C]4565.68332562957[/C][C]-405.683325629574[/C][/ROW]
[ROW][C]75[/C][C]4328[/C][C]4280.17771459556[/C][C]47.8222854044361[/C][/ROW]
[ROW][C]76[/C][C]4202[/C][C]4313.83335177081[/C][C]-111.833351770811[/C][/ROW]
[ROW][C]77[/C][C]4635[/C][C]4235.12898456085[/C][C]399.871015439147[/C][/ROW]
[ROW][C]78[/C][C]4542[/C][C]4516.54409675599[/C][C]25.4559032440084[/C][/ROW]
[ROW][C]79[/C][C]4920[/C][C]4534.45906330983[/C][C]385.540936690171[/C][/ROW]
[ROW][C]80[/C][C]4774[/C][C]4805.78917168322[/C][C]-31.7891716832237[/C][/ROW]
[ROW][C]81[/C][C]4698[/C][C]4783.41707425576[/C][C]-85.4170742557562[/C][/ROW]
[ROW][C]82[/C][C]4916[/C][C]4723.30355112714[/C][C]192.696448872859[/C][/ROW]
[ROW][C]83[/C][C]4703[/C][C]4858.91651302088[/C][C]-155.916513020882[/C][/ROW]
[ROW][C]84[/C][C]4616[/C][C]4749.18797228967[/C][C]-133.187972289668[/C][/ROW]
[ROW][C]85[/C][C]4873[/C][C]4655.4549766041[/C][C]217.545023395896[/C][/ROW]
[ROW][C]86[/C][C]4375[/C][C]4808.55548852597[/C][C]-433.555488525971[/C][/ROW]
[ROW][C]87[/C][C]4801[/C][C]4503.43443264659[/C][C]297.565567353414[/C][/ROW]
[ROW][C]88[/C][C]4427[/C][C]4712.85058007654[/C][C]-285.850580076543[/C][/ROW]
[ROW][C]89[/C][C]4684[/C][C]4511.67902735737[/C][C]172.32097264263[/C][/ROW]
[ROW][C]90[/C][C]4648[/C][C]4632.95244797913[/C][C]15.047552020872[/C][/ROW]
[ROW][C]91[/C][C]5225[/C][C]4643.54238417534[/C][C]581.457615824658[/C][/ROW]
[ROW][C]92[/C][C]5174[/C][C]5052.75173888266[/C][C]121.248261117338[/C][/ROW]
[ROW][C]93[/C][C]5181[/C][C]5138.08198710865[/C][C]42.9180128913476[/C][/ROW]
[ROW][C]94[/C][C]5266[/C][C]5168.28617032445[/C][C]97.7138296755502[/C][/ROW]
[ROW][C]95[/C][C]4839[/C][C]5237.05371605657[/C][C]-398.053716056572[/C][/ROW]
[ROW][C]96[/C][C]5032[/C][C]4956.91755504792[/C][C]75.0824449520751[/C][/ROW]
[ROW][C]97[/C][C]5221[/C][C]5009.75793070473[/C][C]211.242069295267[/C][/ROW]
[ROW][C]98[/C][C]4658[/C][C]5158.4226459149[/C][C]-500.422645914899[/C][/ROW]
[ROW][C]99[/C][C]5014[/C][C]4806.24284390932[/C][C]207.757156090682[/C][/ROW]
[ROW][C]100[/C][C]4980[/C][C]4952.45500016274[/C][C]27.5449998372624[/C][/ROW]
[ROW][C]101[/C][C]4952[/C][C]4971.84019919024[/C][C]-19.8401991902419[/C][/ROW]
[ROW][C]102[/C][C]4946[/C][C]4957.87736701306[/C][C]-11.8773670130604[/C][/ROW]
[ROW][C]103[/C][C]5365[/C][C]4949.51849517312[/C][C]415.481504826881[/C][/ROW]
[ROW][C]104[/C][C]5456[/C][C]5241.9197190214[/C][C]214.080280978599[/C][/ROW]
[ROW][C]105[/C][C]5397[/C][C]5392.58186747494[/C][C]4.41813252506199[/C][/ROW]
[ROW][C]106[/C][C]5436[/C][C]5395.69119326307[/C][C]40.3088067369254[/C][/ROW]
[ROW][C]107[/C][C]4995[/C][C]5424.05910924685[/C][C]-429.059109246848[/C][/ROW]
[ROW][C]108[/C][C]5019[/C][C]5122.10244646036[/C][C]-103.102446460362[/C][/ROW]
[ROW][C]109[/C][C]5249[/C][C]5049.54258235926[/C][C]199.457417640744[/C][/ROW]
[ROW][C]110[/C][C]4799[/C][C]5189.91367552758[/C][C]-390.913675527585[/C][/ROW]
[ROW][C]111[/C][C]5137[/C][C]4914.80242312437[/C][C]222.197576875631[/C][/ROW]
[ROW][C]112[/C][C]4979[/C][C]5071.1772380313[/C][C]-92.1772380313014[/C][/ROW]
[ROW][C]113[/C][C]4951[/C][C]5006.3061501533[/C][C]-55.3061501533048[/C][/ROW]
[ROW][C]114[/C][C]5265[/C][C]4967.38363301767[/C][C]297.616366982329[/C][/ROW]
[ROW][C]115[/C][C]5612[/C][C]5176.83553143412[/C][C]435.164468565882[/C][/ROW]
[ROW][C]116[/C][C]5572[/C][C]5483.08893069667[/C][C]88.9110693033335[/C][/ROW]
[ROW][C]117[/C][C]5403[/C][C]5545.6614042627[/C][C]-142.661404262696[/C][/ROW]
[ROW][C]118[/C][C]5373[/C][C]5445.26134140139[/C][C]-72.2613414013949[/C][/ROW]
[ROW][C]119[/C][C]5252[/C][C]5394.40635888782[/C][C]-142.406358887816[/C][/ROW]
[ROW][C]120[/C][C]5437[/C][C]5294.1857879627[/C][C]142.814212037297[/C][/ROW]
[ROW][C]121[/C][C]5296[/C][C]5394.69339154432[/C][C]-98.6933915443196[/C][/ROW]
[ROW][C]122[/C][C]5011[/C][C]5325.2364647304[/C][C]-314.236464730402[/C][/ROW]
[ROW][C]123[/C][C]5294[/C][C]5104.08792791837[/C][C]189.912072081633[/C][/ROW]
[ROW][C]124[/C][C]5335[/C][C]5237.74134366637[/C][C]97.2586563336308[/C][/ROW]
[ROW][C]125[/C][C]5398[/C][C]5306.18855446013[/C][C]91.8114455398736[/C][/ROW]
[ROW][C]126[/C][C]5396[/C][C]5370.80221048875[/C][C]25.1977895112504[/C][/ROW]
[ROW][C]127[/C][C]5724[/C][C]5388.53552570438[/C][C]335.464474295617[/C][/ROW]
[ROW][C]128[/C][C]5898[/C][C]5624.62358667001[/C][C]273.37641332999[/C][/ROW]
[ROW][C]129[/C][C]5718[/C][C]5817.01626095343[/C][C]-99.0162609534291[/C][/ROW]
[ROW][C]130[/C][C]5625[/C][C]5747.33211004104[/C][C]-122.332110041039[/C][/ROW]
[ROW][C]131[/C][C]5380[/C][C]5661.23908718351[/C][C]-281.239087183507[/C][/ROW]
[ROW][C]132[/C][C]5488[/C][C]5463.3129404572[/C][C]24.6870595427981[/C][/ROW]
[ROW][C]133[/C][C]5678[/C][C]5480.6868219409[/C][C]197.313178059103[/C][/ROW]
[ROW][C]134[/C][C]5224[/C][C]5619.54887494592[/C][C]-395.548874945916[/C][/ROW]
[ROW][C]135[/C][C]5596[/C][C]5341.17553273376[/C][C]254.824467266245[/C][/ROW]
[ROW][C]136[/C][C]5184[/C][C]5520.51200193756[/C][C]-336.51200193756[/C][/ROW]
[ROW][C]137[/C][C]5620[/C][C]5283.68672797698[/C][C]336.313272023015[/C][/ROW]
[ROW][C]138[/C][C]5531[/C][C]5520.3721428354[/C][C]10.627857164598[/C][/ROW]
[ROW][C]139[/C][C]5816[/C][C]5527.8516537299[/C][C]288.148346270104[/C][/ROW]
[ROW][C]140[/C][C]6086[/C][C]5730.64029322504[/C][C]355.359706774963[/C][/ROW]
[ROW][C]141[/C][C]6175[/C][C]5980.729916855[/C][C]194.270083144999[/C][/ROW]
[ROW][C]142[/C][C]6112[/C][C]6117.45034702764[/C][C]-5.45034702763678[/C][/ROW]
[ROW][C]143[/C][C]5813[/C][C]6113.61458509175[/C][C]-300.614585091753[/C][/ROW]
[ROW][C]144[/C][C]5740[/C][C]5902.05264655469[/C][C]-162.052646554687[/C][/ROW]
[ROW][C]145[/C][C]5821[/C][C]5788.00571154085[/C][C]32.9942884591528[/C][/ROW]
[ROW][C]146[/C][C]5294[/C][C]5811.22592763562[/C][C]-517.225927635615[/C][/ROW]
[ROW][C]147[/C][C]5881[/C][C]5447.2205688177[/C][C]433.779431182302[/C][/ROW]
[ROW][C]148[/C][C]5589[/C][C]5752.49922763734[/C][C]-163.49922763734[/C][/ROW]
[ROW][C]149[/C][C]5845[/C][C]5637.43423989661[/C][C]207.565760103394[/C][/ROW]
[ROW][C]150[/C][C]5706[/C][C]5783.51169840711[/C][C]-77.5116984071119[/C][/ROW]
[ROW][C]151[/C][C]6355[/C][C]5728.96169987892[/C][C]626.038300121083[/C][/ROW]
[ROW][C]152[/C][C]6404[/C][C]6169.54536727363[/C][C]234.454632726367[/C][/ROW]
[ROW][C]153[/C][C]6426[/C][C]6334.54626562807[/C][C]91.4537343719294[/C][/ROW]
[ROW][C]154[/C][C]6375[/C][C]6398.90817715766[/C][C]-23.9081771576584[/C][/ROW]
[ROW][C]155[/C][C]5869[/C][C]6382.08244561566[/C][C]-513.082445615664[/C][/ROW]
[ROW][C]156[/C][C]5994[/C][C]6020.99312325076[/C][C]-26.9931232507588[/C][/ROW]
[ROW][C]157[/C][C]6105[/C][C]6001.99631549322[/C][C]103.003684506781[/C][/ROW]
[ROW][C]158[/C][C]5792[/C][C]6074.48667441597[/C][C]-282.48667441597[/C][/ROW]
[ROW][C]159[/C][C]6011[/C][C]5875.68251981352[/C][C]135.317480186477[/C][/ROW]
[ROW][C]160[/C][C]5968[/C][C]5970.91418802238[/C][C]-2.91418802238331[/C][/ROW]
[ROW][C]161[/C][C]6255[/C][C]5968.86328531223[/C][C]286.136714687772[/C][/ROW]
[ROW][C]162[/C][C]6208[/C][C]6170.23620947522[/C][C]37.7637905247757[/C][/ROW]
[ROW][C]163[/C][C]6897[/C][C]6196.81303284356[/C][C]700.18696715644[/C][/ROW]
[ROW][C]164[/C][C]6814[/C][C]6689.57991594337[/C][C]124.420084056632[/C][/ROW]
[ROW][C]165[/C][C]6897[/C][C]6777.14238124402[/C][C]119.857618755982[/C][/ROW]
[ROW][C]166[/C][C]6596[/C][C]6861.4939444415[/C][C]-265.493944441501[/C][/ROW]
[ROW][C]167[/C][C]6188[/C][C]6674.64867364816[/C][C]-486.648673648162[/C][/ROW]
[ROW][C]168[/C][C]6406[/C][C]6332.16250734298[/C][C]73.8374926570186[/C][/ROW]
[ROW][C]169[/C][C]6548[/C][C]6384.12672949963[/C][C]163.873270500375[/C][/ROW]
[ROW][C]170[/C][C]5842[/C][C]6499.45495541018[/C][C]-657.454955410176[/C][/ROW]
[ROW][C]171[/C][C]6555[/C][C]6036.76135448285[/C][C]518.238645517148[/C][/ROW]
[ROW][C]172[/C][C]6424[/C][C]6401.47942841452[/C][C]22.5205715854827[/C][/ROW]
[ROW][C]173[/C][C]6596[/C][C]6417.32861211308[/C][C]178.671387886916[/C][/ROW]
[ROW][C]174[/C][C]6645[/C][C]6543.0712309249[/C][C]101.928769075102[/C][/ROW]
[ROW][C]175[/C][C]7203[/C][C]6614.8051022926[/C][C]588.194897707404[/C][/ROW]
[ROW][C]176[/C][C]7128[/C][C]7028.75591828048[/C][C]99.2440817195229[/C][/ROW]
[ROW][C]177[/C][C]7133[/C][C]7098.60040140995[/C][C]34.3995985900547[/C][/ROW]
[ROW][C]178[/C][C]6778[/C][C]7122.80962519191[/C][C]-344.809625191911[/C][/ROW]
[ROW][C]179[/C][C]6593[/C][C]6880.14477674627[/C][C]-287.14477674627[/C][/ROW]
[ROW][C]180[/C][C]6591[/C][C]6678.06241407351[/C][C]-87.0624140735072[/C][/ROW]
[ROW][C]181[/C][C]6120[/C][C]6616.79095883295[/C][C]-496.79095883295[/C][/ROW]
[ROW][C]182[/C][C]5612[/C][C]6267.16701006045[/C][C]-655.167010060446[/C][/ROW]
[ROW][C]183[/C][C]6070[/C][C]5806.0835843457[/C][C]263.916415654296[/C][/ROW]
[ROW][C]184[/C][C]5983[/C][C]5991.81864603785[/C][C]-8.81864603785471[/C][/ROW]
[ROW][C]185[/C][C]6145[/C][C]5985.61239410077[/C][C]159.387605899227[/C][/ROW]
[ROW][C]186[/C][C]6303[/C][C]6097.78376753074[/C][C]205.216232469258[/C][/ROW]
[ROW][C]187[/C][C]6588[/C][C]6242.20771138968[/C][C]345.792288610321[/C][/ROW]
[ROW][C]188[/C][C]6640[/C][C]6485.56412367832[/C][C]154.435876321678[/C][/ROW]
[ROW][C]189[/C][C]6719[/C][C]6594.25064454128[/C][C]124.749355458719[/C][/ROW]
[ROW][C]190[/C][C]6575[/C][C]6682.04483943718[/C][C]-107.044839437183[/C][/ROW]
[ROW][C]191[/C][C]6487[/C][C]6606.71045825669[/C][C]-119.710458256685[/C][/ROW]
[ROW][C]192[/C][C]6510[/C][C]6522.46246142641[/C][C]-12.4624614264094[/C][/ROW]
[ROW][C]193[/C][C]6365[/C][C]6513.69182078198[/C][C]-148.691820781978[/C][/ROW]
[ROW][C]194[/C][C]5844[/C][C]6409.04776354291[/C][C]-565.047763542907[/C][/ROW]
[ROW][C]195[/C][C]5974[/C][C]6011.38708388997[/C][C]-37.3870838899747[/C][/ROW]
[ROW][C]196[/C][C]5880[/C][C]5985.07537336004[/C][C]-105.07537336004[/C][/ROW]
[ROW][C]197[/C][C]6279[/C][C]5911.12703291684[/C][C]367.872967083159[/C][/ROW]
[ROW][C]198[/C][C]6342[/C][C]6170.02304765192[/C][C]171.976952348076[/C][/ROW]
[ROW][C]199[/C][C]6598[/C][C]6291.05435892829[/C][C]306.94564107171[/C][/ROW]
[ROW][C]200[/C][C]6801[/C][C]6507.07187128822[/C][C]293.928128711779[/C][/ROW]
[ROW][C]201[/C][C]6529[/C][C]6713.92811774032[/C][C]-184.928117740323[/C][/ROW]
[ROW][C]202[/C][C]6369[/C][C]6583.78223321109[/C][C]-214.782233211094[/C][/ROW]
[ROW][C]203[/C][C]6028[/C][C]6432.62607554299[/C][C]-404.626075542995[/C][/ROW]
[ROW][C]204[/C][C]6187[/C][C]6147.86451981744[/C][C]39.1354801825637[/C][/ROW]
[ROW][C]205[/C][C]6164[/C][C]6175.40668997021[/C][C]-11.4066899702084[/C][/ROW]
[ROW][C]206[/C][C]5866[/C][C]6167.37906402634[/C][C]-301.379064026338[/C][/ROW]
[ROW][C]207[/C][C]6198[/C][C]5955.27911218788[/C][C]242.720887812118[/C][/ROW]
[ROW][C]208[/C][C]5898[/C][C]6126.09750921708[/C][C]-228.097509217076[/C][/ROW]
[ROW][C]209[/C][C]6462[/C][C]5965.57053009292[/C][C]496.42946990708[/C][/ROW]
[ROW][C]210[/C][C]6063[/C][C]6314.94007571365[/C][C]-251.940075713649[/C][/ROW]
[ROW][C]211[/C][C]6496[/C][C]6137.63353951586[/C][C]358.366460484141[/C][/ROW]
[ROW][C]212[/C][C]6678[/C][C]6389.83921032039[/C][C]288.160789679609[/C][/ROW]
[ROW][C]213[/C][C]6554[/C][C]6592.63660704811[/C][C]-38.6366070481054[/C][/ROW]
[ROW][C]214[/C][C]6513[/C][C]6565.44552620585[/C][C]-52.4455262058464[/C][/ROW]
[ROW][C]215[/C][C]6210[/C][C]6528.53621527431[/C][C]-318.536215274313[/C][/ROW]
[ROW][C]216[/C][C]5928[/C][C]6304.36166573566[/C][C]-376.361665735657[/C][/ROW]
[ROW][C]217[/C][C]6268[/C][C]6039.49160439192[/C][C]228.50839560808[/C][/ROW]
[ROW][C]218[/C][C]5582[/C][C]6200.30775086094[/C][C]-618.307750860943[/C][/ROW]
[ROW][C]219[/C][C]5869[/C][C]5765.16457128199[/C][C]103.835428718014[/C][/ROW]
[ROW][C]220[/C][C]5764[/C][C]5838.24028243454[/C][C]-74.2402824345418[/C][/ROW]
[ROW][C]221[/C][C]6082[/C][C]5785.99259104393[/C][C]296.00740895607[/C][/ROW]
[ROW][C]222[/C][C]6062[/C][C]5994.31216156965[/C][C]67.6878384303545[/C][/ROW]
[ROW][C]223[/C][C]6810[/C][C]6041.94847405707[/C][C]768.051525942926[/C][/ROW]
[ROW][C]224[/C][C]6727[/C][C]6582.47603919581[/C][C]144.523960804189[/C][/ROW]
[ROW][C]225[/C][C]6537[/C][C]6684.18690363526[/C][C]-147.186903635262[/C][/ROW]
[ROW][C]226[/C][C]6175[/C][C]6580.60195398673[/C][C]-405.601953986728[/C][/ROW]
[ROW][C]227[/C][C]6014[/C][C]6295.15360944395[/C][C]-281.153609443954[/C][/ROW]
[ROW][C]228[/C][C]6109[/C][C]6097.28761893487[/C][C]11.7123810651256[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
221152341-226
324022181.94917385734220.050826142662
421802336.81318134126-156.813181341257
524532226.45359708291226.546402917088
625072385.88896232013121.111037679871
726792471.12263753242207.877362467576
826222617.419390792714.58060920728622
926182620.64306193721-2.64306193720768
1026482618.7829681997829.2170318002222
1125232639.34488432925-116.344884329254
1224732557.46545968306-84.4654596830583
1325132498.0216493153114.9783506846852
1424662508.56288405272-42.5628840527206
1525442478.608627983765.3913720163036
1625372524.6287684341212.3712315658822
1725642533.3352047215330.6647952784674
1825822554.916005706227.0839942937955
1927162573.97676529767142.02323470233
2029042673.92770693864230.072293061362
2128512835.8444692569815.1555307430162
2229322846.5103970680885.4896029319225
2327722906.67496331998-134.674963319982
2428112811.89547581212-0.895475812124459
2529352811.26527153023123.734728469774
2627832898.34540774994-115.34540774994
2730032817.16937945618185.830620543822
2829952947.9504136159147.0495863840943
2931272981.06225248343145.937747516569
3029853083.76809012905-98.7680901290478
3132873014.25859308676272.741406913244
3232363206.2043722587229.7956277412823
3332523227.1734837971724.8265162028301
3432283244.64550995781-16.6455099578084
3528563232.93098734562-376.930987345617
3631762967.66025753991208.339742460089
3733623114.28241752498247.717582475016
3830363288.61731196177-252.617311961772
3933303110.83416078718219.165839212822
4032513265.07534569447-14.0753456944749
4133183255.1696140088662.8303859911434
4232383299.3874228529-61.3874228528994
4335973256.18512055413340.814879445873
4437083496.03860788854211.961392111458
4539023645.2095571172256.790442882803
4637453825.92961059529-80.9296105952935
4734263768.97420606173-342.97420606173
4835263527.60106084163-1.60106084163453
4934833526.47429071081-43.4742907108089
5034583495.87861879258-37.8786187925771
5138243469.2209833408354.779016659203
5236963718.90193775552-22.9019377555201
5335183702.78436200205-184.784362002054
5438143572.73964768935241.260352310651
5539963742.53017136403253.469828635966
5641363920.91329369496215.08670630504
5740374072.28372878399-35.2837287839893
5839154047.4522853659-132.452285365905
5937603954.23704018037-194.23704018037
6039553817.5398644804137.4601355196
6141603914.27945791436245.720542085642
6241154087.2089057857927.791094214208
6342024106.7672973529595.2327026470475
6440184173.78871342291-155.788713422915
6542334064.15011353965168.849886460346
6640294182.98070617511-153.980706175108
6744014074.61451800174326.385481998261
6846454304.31310451853340.686895481473
6944914544.0765212544-53.0765212543984
7043794506.72313827081-127.723138270811
7143944416.83609995441-22.8360999544129
7244724400.7648585224471.2351414775594
7346144450.89763773658163.102362263421
7441604565.68332562957-405.683325629574
7543284280.1777145955647.8222854044361
7642024313.83335177081-111.833351770811
7746354235.12898456085399.871015439147
7845424516.5440967559925.4559032440084
7949204534.45906330983385.540936690171
8047744805.78917168322-31.7891716832237
8146984783.41707425576-85.4170742557562
8249164723.30355112714192.696448872859
8347034858.91651302088-155.916513020882
8446164749.18797228967-133.187972289668
8548734655.4549766041217.545023395896
8643754808.55548852597-433.555488525971
8748014503.43443264659297.565567353414
8844274712.85058007654-285.850580076543
8946844511.67902735737172.32097264263
9046484632.9524479791315.047552020872
9152254643.54238417534581.457615824658
9251745052.75173888266121.248261117338
9351815138.0819871086542.9180128913476
9452665168.2861703244597.7138296755502
9548395237.05371605657-398.053716056572
9650324956.9175550479275.0824449520751
9752215009.75793070473211.242069295267
9846585158.4226459149-500.422645914899
9950144806.24284390932207.757156090682
10049804952.4550001627427.5449998372624
10149524971.84019919024-19.8401991902419
10249464957.87736701306-11.8773670130604
10353654949.51849517312415.481504826881
10454565241.9197190214214.080280978599
10553975392.581867474944.41813252506199
10654365395.6911932630740.3088067369254
10749955424.05910924685-429.059109246848
10850195122.10244646036-103.102446460362
10952495049.54258235926199.457417640744
11047995189.91367552758-390.913675527585
11151374914.80242312437222.197576875631
11249795071.1772380313-92.1772380313014
11349515006.3061501533-55.3061501533048
11452654967.38363301767297.616366982329
11556125176.83553143412435.164468565882
11655725483.0889306966788.9110693033335
11754035545.6614042627-142.661404262696
11853735445.26134140139-72.2613414013949
11952525394.40635888782-142.406358887816
12054375294.1857879627142.814212037297
12152965394.69339154432-98.6933915443196
12250115325.2364647304-314.236464730402
12352945104.08792791837189.912072081633
12453355237.7413436663797.2586563336308
12553985306.1885544601391.8114455398736
12653965370.8022104887525.1977895112504
12757245388.53552570438335.464474295617
12858985624.62358667001273.37641332999
12957185817.01626095343-99.0162609534291
13056255747.33211004104-122.332110041039
13153805661.23908718351-281.239087183507
13254885463.312940457224.6870595427981
13356785480.6868219409197.313178059103
13452245619.54887494592-395.548874945916
13555965341.17553273376254.824467266245
13651845520.51200193756-336.51200193756
13756205283.68672797698336.313272023015
13855315520.372142835410.627857164598
13958165527.8516537299288.148346270104
14060865730.64029322504355.359706774963
14161755980.729916855194.270083144999
14261126117.45034702764-5.45034702763678
14358136113.61458509175-300.614585091753
14457405902.05264655469-162.052646554687
14558215788.0057115408532.9942884591528
14652945811.22592763562-517.225927635615
14758815447.2205688177433.779431182302
14855895752.49922763734-163.49922763734
14958455637.43423989661207.565760103394
15057065783.51169840711-77.5116984071119
15163555728.96169987892626.038300121083
15264046169.54536727363234.454632726367
15364266334.5462656280791.4537343719294
15463756398.90817715766-23.9081771576584
15558696382.08244561566-513.082445615664
15659946020.99312325076-26.9931232507588
15761056001.99631549322103.003684506781
15857926074.48667441597-282.48667441597
15960115875.68251981352135.317480186477
16059685970.91418802238-2.91418802238331
16162555968.86328531223286.136714687772
16262086170.2362094752237.7637905247757
16368976196.81303284356700.18696715644
16468146689.57991594337124.420084056632
16568976777.14238124402119.857618755982
16665966861.4939444415-265.493944441501
16761886674.64867364816-486.648673648162
16864066332.1625073429873.8374926570186
16965486384.12672949963163.873270500375
17058426499.45495541018-657.454955410176
17165556036.76135448285518.238645517148
17264246401.4794284145222.5205715854827
17365966417.32861211308178.671387886916
17466456543.0712309249101.928769075102
17572036614.8051022926588.194897707404
17671287028.7559182804899.2440817195229
17771337098.6004014099534.3995985900547
17867787122.80962519191-344.809625191911
17965936880.14477674627-287.14477674627
18065916678.06241407351-87.0624140735072
18161206616.79095883295-496.79095883295
18256126267.16701006045-655.167010060446
18360705806.0835843457263.916415654296
18459835991.81864603785-8.81864603785471
18561455985.61239410077159.387605899227
18663036097.78376753074205.216232469258
18765886242.20771138968345.792288610321
18866406485.56412367832154.435876321678
18967196594.25064454128124.749355458719
19065756682.04483943718-107.044839437183
19164876606.71045825669-119.710458256685
19265106522.46246142641-12.4624614264094
19363656513.69182078198-148.691820781978
19458446409.04776354291-565.047763542907
19559746011.38708388997-37.3870838899747
19658805985.07537336004-105.07537336004
19762795911.12703291684367.872967083159
19863426170.02304765192171.976952348076
19965986291.05435892829306.94564107171
20068016507.07187128822293.928128711779
20165296713.92811774032-184.928117740323
20263696583.78223321109-214.782233211094
20360286432.62607554299-404.626075542995
20461876147.8645198174439.1354801825637
20561646175.40668997021-11.4066899702084
20658666167.37906402634-301.379064026338
20761985955.27911218788242.720887812118
20858986126.09750921708-228.097509217076
20964625965.57053009292496.42946990708
21060636314.94007571365-251.940075713649
21164966137.63353951586358.366460484141
21266786389.83921032039288.160789679609
21365546592.63660704811-38.6366070481054
21465136565.44552620585-52.4455262058464
21562106528.53621527431-318.536215274313
21659286304.36166573566-376.361665735657
21762686039.49160439192228.50839560808
21855826200.30775086094-618.307750860943
21958695765.16457128199103.835428718014
22057645838.24028243454-74.2402824345418
22160825785.99259104393296.00740895607
22260625994.3121615696567.6878384303545
22368106041.94847405707768.051525942926
22467276582.47603919581144.523960804189
22565376684.18690363526-147.186903635262
22661756580.60195398673-405.601953986728
22760146295.15360944395-281.153609443954
22861096097.2876189348711.7123810651256







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
2296105.530379485785615.860669576516595.20008939506
2306105.530379485785506.753260671296704.30749830028
2316105.530379485785414.667403759816796.39335521176
2326105.530379485785333.488110926546877.57264804503
2336105.530379485785260.067856569926950.99290240165
2346105.530379485785192.532848893067018.52791007851
2356105.530379485785129.660457784357081.40030118722
2366105.530379485785070.600566747397140.46019222418
2376105.530379485785014.733730009877196.3270289617
2386105.530379485784961.592031618637249.46872735294
2396105.530379485784910.811769546957300.24898942462
2406105.530379485784862.103594287987348.95716468359

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
229 & 6105.53037948578 & 5615.86066957651 & 6595.20008939506 \tabularnewline
230 & 6105.53037948578 & 5506.75326067129 & 6704.30749830028 \tabularnewline
231 & 6105.53037948578 & 5414.66740375981 & 6796.39335521176 \tabularnewline
232 & 6105.53037948578 & 5333.48811092654 & 6877.57264804503 \tabularnewline
233 & 6105.53037948578 & 5260.06785656992 & 6950.99290240165 \tabularnewline
234 & 6105.53037948578 & 5192.53284889306 & 7018.52791007851 \tabularnewline
235 & 6105.53037948578 & 5129.66045778435 & 7081.40030118722 \tabularnewline
236 & 6105.53037948578 & 5070.60056674739 & 7140.46019222418 \tabularnewline
237 & 6105.53037948578 & 5014.73373000987 & 7196.3270289617 \tabularnewline
238 & 6105.53037948578 & 4961.59203161863 & 7249.46872735294 \tabularnewline
239 & 6105.53037948578 & 4910.81176954695 & 7300.24898942462 \tabularnewline
240 & 6105.53037948578 & 4862.10359428798 & 7348.95716468359 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]229[/C][C]6105.53037948578[/C][C]5615.86066957651[/C][C]6595.20008939506[/C][/ROW]
[ROW][C]230[/C][C]6105.53037948578[/C][C]5506.75326067129[/C][C]6704.30749830028[/C][/ROW]
[ROW][C]231[/C][C]6105.53037948578[/C][C]5414.66740375981[/C][C]6796.39335521176[/C][/ROW]
[ROW][C]232[/C][C]6105.53037948578[/C][C]5333.48811092654[/C][C]6877.57264804503[/C][/ROW]
[ROW][C]233[/C][C]6105.53037948578[/C][C]5260.06785656992[/C][C]6950.99290240165[/C][/ROW]
[ROW][C]234[/C][C]6105.53037948578[/C][C]5192.53284889306[/C][C]7018.52791007851[/C][/ROW]
[ROW][C]235[/C][C]6105.53037948578[/C][C]5129.66045778435[/C][C]7081.40030118722[/C][/ROW]
[ROW][C]236[/C][C]6105.53037948578[/C][C]5070.60056674739[/C][C]7140.46019222418[/C][/ROW]
[ROW][C]237[/C][C]6105.53037948578[/C][C]5014.73373000987[/C][C]7196.3270289617[/C][/ROW]
[ROW][C]238[/C][C]6105.53037948578[/C][C]4961.59203161863[/C][C]7249.46872735294[/C][/ROW]
[ROW][C]239[/C][C]6105.53037948578[/C][C]4910.81176954695[/C][C]7300.24898942462[/C][/ROW]
[ROW][C]240[/C][C]6105.53037948578[/C][C]4862.10359428798[/C][C]7348.95716468359[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
2296105.530379485785615.860669576516595.20008939506
2306105.530379485785506.753260671296704.30749830028
2316105.530379485785414.667403759816796.39335521176
2326105.530379485785333.488110926546877.57264804503
2336105.530379485785260.067856569926950.99290240165
2346105.530379485785192.532848893067018.52791007851
2356105.530379485785129.660457784357081.40030118722
2366105.530379485785070.600566747397140.46019222418
2376105.530379485785014.733730009877196.3270289617
2386105.530379485784961.592031618637249.46872735294
2396105.530379485784910.811769546957300.24898942462
2406105.530379485784862.103594287987348.95716468359



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 <- 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')