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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 21 Dec 2011 13:45:53 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/21/t1324493189u9glomdd3u041xg.htm/, Retrieved Tue, 07 May 2024 10:25:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=158942, Retrieved Tue, 07 May 2024 10:25:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2011-12-21 18:45:53] [1118fb1265e4c78f2f623b6bb1012fba] [Current]
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Dataseries X:
1954
2302
3054
2414
2226
2725
2589
3470
2400
3180
4009
3924
2072
2434
2956
2828
2687
2629
3150
4119
3030
3055
3821
4001
2529
2472
3134
2789
2758
2993
3282
3437
2804
3076
3782
3889
2271
2452
3084
2522
2769
3438
2839
3746
2632
2851
3871
3618
2389
2344
2678
2492
2858
2246
2800
3869
3007
3023
3907
4209
2353
2570
2903
2910
3782
2759
2931
3641
2794
3070
3576
4106
2452
2206
2488
2416
2534
2521
3093
3903
2907
3025
3812
4209
2138
2419
2622
2912
2708
2798
3254
2895
3263
3736
4077
4097
2175
3138
2823
2498
2822
2738
4137
3515
3785
3632
4504
4451
2550
2867
3458
2961
3163
2880
3331
3062
3534
3622
4464
5411
2564
2820
3508
3088
3299
2939
3320
3418
3604
3495
4163
4882
2211
3260
2992
2425
2707
3244
3965
3315
3333
3583
4021
4904
2252
2952
3573
3048
3059
2731
3563
3092
3478
3478
4308
5029
2075
3264
3308
3688
3136
2824
3644
4694
2914
3686
4358
5587
2265
3685
3754
3708
3210
3517
3905
3670
4221
4404
5086
5725
2367
3819
4067
4022
3937
4365
4290




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158942&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158942&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158942&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.122923936056926
beta0.0628781616547507
gamma0.355030718935451

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.122923936056926 \tabularnewline
beta & 0.0628781616547507 \tabularnewline
gamma & 0.355030718935451 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158942&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]0.122923936056926[/C][/ROW]
[ROW][C]beta[/C][C]0.0628781616547507[/C][/ROW]
[ROW][C]gamma[/C][C]0.355030718935451[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158942&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158942&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
alpha0.122923936056926
beta0.0628781616547507
gamma0.355030718935451







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1320721985.8426816239386.1573183760681
1424342331.83381956737102.166180432627
1529562837.70749586808118.292504131921
1628282728.7277934565499.2722065434596
1726872639.2606723622247.7393276377848
1826292618.4112485867410.5887514132573
1931502809.57697266194340.423027338057
2041193751.3767657714367.623234228602
2130302757.3615603168272.638439683199
2230553592.02773556435-537.027735564348
2338214348.72407950421-527.724079504207
2440014209.73516408724-208.735164087236
2525292364.00602923845164.99397076155
2624722726.60730668683-254.607306686828
2731343192.82320107492-58.8232010749202
2827893053.95672088355-264.956720883546
2927582898.66286027092-140.662860270918
3029932836.62229787479156.377702125207
3132823143.07883612007138.921163879931
3234374061.68473144919-624.684731449194
3328042901.54979310176-97.5497931017585
3430763421.16448977637-345.164489776365
3537824188.40004272897-406.40004272897
3638894148.64968698879-259.64968698879
3722712397.6388392132-126.638839213196
3824522576.07994646338-124.079946463376
3930843102.66234208907-18.6623420890737
4025222888.21186410191-366.21186410191
4127692742.0594032446726.9405967553339
4234382777.29625715941660.703742840587
4328393128.38860904674-289.388609046744
4437463741.333886150594.66611384940734
4526322812.33696109063-180.336961090627
4628513233.6625103791-382.662510379102
4738713965.92261036982-94.9226103698229
4836184001.26623179287-383.266231792872
4923892266.6321052102122.367894789798
5023442468.55758762944-124.557587629437
5126783019.98213099738-341.982130997376
5224922647.14080400068-155.14080400068
5328582640.56474710114217.435252898858
5422462889.24455719365-643.244557193651
5528002766.8034436840833.1965563159183
5638693496.06213210272372.937867897285
5730072542.66774864445464.332251355553
5830232973.1604733561549.8395266438456
5939073844.4511961739462.548803826061
6042093806.8486864021402.151313597899
6123532329.7646061747623.2353938252359
6225702445.40280049509124.597199504914
6329032964.4649413346-61.4649413345987
6429102691.16850705702218.831492942976
6537822856.35147251985925.648527480148
6627592939.3282216137-180.328221613704
6729313103.25163278106-172.251632781056
6836413930.28429495836-289.284294958364
6927942936.06447428771-142.064474287714
7030703170.37941064005-100.379410640046
7135764033.43241840359-457.432418403586
7241064039.9114420616966.0885579383139
7324522403.1806742495148.8193257504872
7422062553.37813390404-347.378133904044
7524882952.68895069484-464.68895069484
7624162710.19466911775-294.19466911775
7725343021.53097667219-487.530976672187
7825212564.60394021622-43.6039402162196
7930932727.10450740941365.895492590586
8039033567.26062737737335.739372622631
8129072683.95972539169223.040274608311
8230252967.2029461692657.79705383074
8338123730.8077540025481.1922459974644
8442093962.96892683408246.031073165923
8521382340.82441112063-202.824411120634
8624192332.6167682277786.3832317722295
8726222747.97003496448-125.970034964482
8829122602.07257418136309.927425818638
8927082934.00668175197-226.006681751966
9027982656.02211769382141.977882306175
9132542978.84403926437275.155960735634
9228953807.7497793188-912.749779318796
9332632735.53052504488527.469474955115
9437363006.73757444077729.262425559233
9540773867.35356929837209.646430701626
9640974174.81369316145-77.8136931614463
9721752378.76906556794-203.769065567942
9831382466.17086096439671.829139035609
9928232897.55952585452-74.559525854525
10024982904.30720428687-406.307204286868
10128222986.37093875663-164.370938756632
10227382836.08156851921-98.081568519211
10341373174.54150425145962.45849574855
10435153727.02166684934-212.021666849335
10537853203.81232021761581.187679782386
10636323559.279212328972.7207876711032
10745044187.13378151883316.86621848117
10844514428.8365387569722.1634612430298
10925502617.20779232624-67.2077923262409
11028673006.45075866316-139.450758663159
11134583111.82887619462346.171123805381
11229613076.37613699677-115.376136996769
11331633281.17149011807-118.17149011807
11428803169.19294939313-289.192949393127
11533313824.91406459159-493.914064591589
11630623831.90729050567-769.907290505671
11735343482.0612924524351.9387075475729
11836223604.9933840023117.0066159976864
11944644292.4464441031171.553555896897
12054114413.81936884645997.180631153552
12125642691.05023608211-127.050236082111
12228203046.8148223287-226.814822328703
12335083288.36918390891219.630816091089
12430883088.36093058303-0.360930583034133
12532993302.03297606065-3.03297606064962
12629393147.45246753121-208.452467531208
12733203746.47363493721-426.473634937205
12834183673.45993355717-255.459933557172
12936043644.38614000649-40.386140006493
13034953745.99878242076-250.998782420762
13141634447.46724872395-284.467248723952
13248824765.18623142798116.813768572019
13322112572.63210130506-361.632101305057
13432602855.18846144273404.811538557267
13529923304.9781335422-312.978133542204
13624252958.45491158573-533.454911585725
13727073089.1029124797-382.102912479705
13832442804.3683686048439.631631395202
13939653400.58248683264564.417513167358
14033153495.70091233922-180.700912339216
14133333536.44233408507-203.442334085069
14235833544.822660040438.1773399596041
14340214266.04483352921-245.044833529215
14449044708.49770291847195.50229708153
14522522372.17517874418-120.175178744181
14629522920.4823846086131.5176153913931
14735733095.39618782369477.603812176308
14830482778.03362813252269.966371867483
14930593061.41375285022-2.41375285021923
15027313089.00893130027-358.008931300266
15135633629.64351109659-66.643511096589
15230923413.90280922652-321.902809226523
15334783427.8493470356950.1506529643052
15434783542.2437317917-64.2437317917042
15543084161.49572906625146.504270933751
15650294791.09931454027237.900685459728
15720752363.85625030376-288.856250303764
15832642939.52635862284324.473641377157
15933083292.4844894120915.5155105879094
16036882853.21933533916834.780664660844
16131363125.1331985042510.8668014957548
16228243047.65581804251-223.655818042511
16336443700.5953793039-56.5953793038989
16446943411.744370989181282.25562901082
16529143756.27208601905-842.27208601905
16636863735.98583927513-49.985839275133
16743584433.365904756-75.3659047560004
16855875073.19211581349513.807884186508
16922652527.00686188079-262.006861880791
17036853308.33757430917376.662425690828
17137543583.28421186015170.715788139846
17237083431.18598058245276.814019417551
17332103386.62104665159-176.621046651593
17435173220.28636201267296.713637987325
17539054000.45180595248-95.4518059524758
17636704134.66673322755-464.666733227548
17742213600.33798063115620.662019368854
17844044015.33443715829388.665562841715
17950864770.86653168879315.133468311205
18057255657.3092714718467.6907285281559
18123672826.40986638493-459.409866384926
18238193792.5282683478426.4717316521601
18340673967.7705641309499.2294358690629
18440223846.8422138994175.157786100602
18539373654.72035250687282.279647493131
18643653701.86740927515663.132590724845
18742904417.47133932313-127.471339323134

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2072 & 1985.84268162393 & 86.1573183760681 \tabularnewline
14 & 2434 & 2331.83381956737 & 102.166180432627 \tabularnewline
15 & 2956 & 2837.70749586808 & 118.292504131921 \tabularnewline
16 & 2828 & 2728.72779345654 & 99.2722065434596 \tabularnewline
17 & 2687 & 2639.26067236222 & 47.7393276377848 \tabularnewline
18 & 2629 & 2618.41124858674 & 10.5887514132573 \tabularnewline
19 & 3150 & 2809.57697266194 & 340.423027338057 \tabularnewline
20 & 4119 & 3751.3767657714 & 367.623234228602 \tabularnewline
21 & 3030 & 2757.3615603168 & 272.638439683199 \tabularnewline
22 & 3055 & 3592.02773556435 & -537.027735564348 \tabularnewline
23 & 3821 & 4348.72407950421 & -527.724079504207 \tabularnewline
24 & 4001 & 4209.73516408724 & -208.735164087236 \tabularnewline
25 & 2529 & 2364.00602923845 & 164.99397076155 \tabularnewline
26 & 2472 & 2726.60730668683 & -254.607306686828 \tabularnewline
27 & 3134 & 3192.82320107492 & -58.8232010749202 \tabularnewline
28 & 2789 & 3053.95672088355 & -264.956720883546 \tabularnewline
29 & 2758 & 2898.66286027092 & -140.662860270918 \tabularnewline
30 & 2993 & 2836.62229787479 & 156.377702125207 \tabularnewline
31 & 3282 & 3143.07883612007 & 138.921163879931 \tabularnewline
32 & 3437 & 4061.68473144919 & -624.684731449194 \tabularnewline
33 & 2804 & 2901.54979310176 & -97.5497931017585 \tabularnewline
34 & 3076 & 3421.16448977637 & -345.164489776365 \tabularnewline
35 & 3782 & 4188.40004272897 & -406.40004272897 \tabularnewline
36 & 3889 & 4148.64968698879 & -259.64968698879 \tabularnewline
37 & 2271 & 2397.6388392132 & -126.638839213196 \tabularnewline
38 & 2452 & 2576.07994646338 & -124.079946463376 \tabularnewline
39 & 3084 & 3102.66234208907 & -18.6623420890737 \tabularnewline
40 & 2522 & 2888.21186410191 & -366.21186410191 \tabularnewline
41 & 2769 & 2742.05940324467 & 26.9405967553339 \tabularnewline
42 & 3438 & 2777.29625715941 & 660.703742840587 \tabularnewline
43 & 2839 & 3128.38860904674 & -289.388609046744 \tabularnewline
44 & 3746 & 3741.33388615059 & 4.66611384940734 \tabularnewline
45 & 2632 & 2812.33696109063 & -180.336961090627 \tabularnewline
46 & 2851 & 3233.6625103791 & -382.662510379102 \tabularnewline
47 & 3871 & 3965.92261036982 & -94.9226103698229 \tabularnewline
48 & 3618 & 4001.26623179287 & -383.266231792872 \tabularnewline
49 & 2389 & 2266.6321052102 & 122.367894789798 \tabularnewline
50 & 2344 & 2468.55758762944 & -124.557587629437 \tabularnewline
51 & 2678 & 3019.98213099738 & -341.982130997376 \tabularnewline
52 & 2492 & 2647.14080400068 & -155.14080400068 \tabularnewline
53 & 2858 & 2640.56474710114 & 217.435252898858 \tabularnewline
54 & 2246 & 2889.24455719365 & -643.244557193651 \tabularnewline
55 & 2800 & 2766.80344368408 & 33.1965563159183 \tabularnewline
56 & 3869 & 3496.06213210272 & 372.937867897285 \tabularnewline
57 & 3007 & 2542.66774864445 & 464.332251355553 \tabularnewline
58 & 3023 & 2973.16047335615 & 49.8395266438456 \tabularnewline
59 & 3907 & 3844.45119617394 & 62.548803826061 \tabularnewline
60 & 4209 & 3806.8486864021 & 402.151313597899 \tabularnewline
61 & 2353 & 2329.76460617476 & 23.2353938252359 \tabularnewline
62 & 2570 & 2445.40280049509 & 124.597199504914 \tabularnewline
63 & 2903 & 2964.4649413346 & -61.4649413345987 \tabularnewline
64 & 2910 & 2691.16850705702 & 218.831492942976 \tabularnewline
65 & 3782 & 2856.35147251985 & 925.648527480148 \tabularnewline
66 & 2759 & 2939.3282216137 & -180.328221613704 \tabularnewline
67 & 2931 & 3103.25163278106 & -172.251632781056 \tabularnewline
68 & 3641 & 3930.28429495836 & -289.284294958364 \tabularnewline
69 & 2794 & 2936.06447428771 & -142.064474287714 \tabularnewline
70 & 3070 & 3170.37941064005 & -100.379410640046 \tabularnewline
71 & 3576 & 4033.43241840359 & -457.432418403586 \tabularnewline
72 & 4106 & 4039.91144206169 & 66.0885579383139 \tabularnewline
73 & 2452 & 2403.18067424951 & 48.8193257504872 \tabularnewline
74 & 2206 & 2553.37813390404 & -347.378133904044 \tabularnewline
75 & 2488 & 2952.68895069484 & -464.68895069484 \tabularnewline
76 & 2416 & 2710.19466911775 & -294.19466911775 \tabularnewline
77 & 2534 & 3021.53097667219 & -487.530976672187 \tabularnewline
78 & 2521 & 2564.60394021622 & -43.6039402162196 \tabularnewline
79 & 3093 & 2727.10450740941 & 365.895492590586 \tabularnewline
80 & 3903 & 3567.26062737737 & 335.739372622631 \tabularnewline
81 & 2907 & 2683.95972539169 & 223.040274608311 \tabularnewline
82 & 3025 & 2967.20294616926 & 57.79705383074 \tabularnewline
83 & 3812 & 3730.80775400254 & 81.1922459974644 \tabularnewline
84 & 4209 & 3962.96892683408 & 246.031073165923 \tabularnewline
85 & 2138 & 2340.82441112063 & -202.824411120634 \tabularnewline
86 & 2419 & 2332.61676822777 & 86.3832317722295 \tabularnewline
87 & 2622 & 2747.97003496448 & -125.970034964482 \tabularnewline
88 & 2912 & 2602.07257418136 & 309.927425818638 \tabularnewline
89 & 2708 & 2934.00668175197 & -226.006681751966 \tabularnewline
90 & 2798 & 2656.02211769382 & 141.977882306175 \tabularnewline
91 & 3254 & 2978.84403926437 & 275.155960735634 \tabularnewline
92 & 2895 & 3807.7497793188 & -912.749779318796 \tabularnewline
93 & 3263 & 2735.53052504488 & 527.469474955115 \tabularnewline
94 & 3736 & 3006.73757444077 & 729.262425559233 \tabularnewline
95 & 4077 & 3867.35356929837 & 209.646430701626 \tabularnewline
96 & 4097 & 4174.81369316145 & -77.8136931614463 \tabularnewline
97 & 2175 & 2378.76906556794 & -203.769065567942 \tabularnewline
98 & 3138 & 2466.17086096439 & 671.829139035609 \tabularnewline
99 & 2823 & 2897.55952585452 & -74.559525854525 \tabularnewline
100 & 2498 & 2904.30720428687 & -406.307204286868 \tabularnewline
101 & 2822 & 2986.37093875663 & -164.370938756632 \tabularnewline
102 & 2738 & 2836.08156851921 & -98.081568519211 \tabularnewline
103 & 4137 & 3174.54150425145 & 962.45849574855 \tabularnewline
104 & 3515 & 3727.02166684934 & -212.021666849335 \tabularnewline
105 & 3785 & 3203.81232021761 & 581.187679782386 \tabularnewline
106 & 3632 & 3559.2792123289 & 72.7207876711032 \tabularnewline
107 & 4504 & 4187.13378151883 & 316.86621848117 \tabularnewline
108 & 4451 & 4428.83653875697 & 22.1634612430298 \tabularnewline
109 & 2550 & 2617.20779232624 & -67.2077923262409 \tabularnewline
110 & 2867 & 3006.45075866316 & -139.450758663159 \tabularnewline
111 & 3458 & 3111.82887619462 & 346.171123805381 \tabularnewline
112 & 2961 & 3076.37613699677 & -115.376136996769 \tabularnewline
113 & 3163 & 3281.17149011807 & -118.17149011807 \tabularnewline
114 & 2880 & 3169.19294939313 & -289.192949393127 \tabularnewline
115 & 3331 & 3824.91406459159 & -493.914064591589 \tabularnewline
116 & 3062 & 3831.90729050567 & -769.907290505671 \tabularnewline
117 & 3534 & 3482.06129245243 & 51.9387075475729 \tabularnewline
118 & 3622 & 3604.99338400231 & 17.0066159976864 \tabularnewline
119 & 4464 & 4292.4464441031 & 171.553555896897 \tabularnewline
120 & 5411 & 4413.81936884645 & 997.180631153552 \tabularnewline
121 & 2564 & 2691.05023608211 & -127.050236082111 \tabularnewline
122 & 2820 & 3046.8148223287 & -226.814822328703 \tabularnewline
123 & 3508 & 3288.36918390891 & 219.630816091089 \tabularnewline
124 & 3088 & 3088.36093058303 & -0.360930583034133 \tabularnewline
125 & 3299 & 3302.03297606065 & -3.03297606064962 \tabularnewline
126 & 2939 & 3147.45246753121 & -208.452467531208 \tabularnewline
127 & 3320 & 3746.47363493721 & -426.473634937205 \tabularnewline
128 & 3418 & 3673.45993355717 & -255.459933557172 \tabularnewline
129 & 3604 & 3644.38614000649 & -40.386140006493 \tabularnewline
130 & 3495 & 3745.99878242076 & -250.998782420762 \tabularnewline
131 & 4163 & 4447.46724872395 & -284.467248723952 \tabularnewline
132 & 4882 & 4765.18623142798 & 116.813768572019 \tabularnewline
133 & 2211 & 2572.63210130506 & -361.632101305057 \tabularnewline
134 & 3260 & 2855.18846144273 & 404.811538557267 \tabularnewline
135 & 2992 & 3304.9781335422 & -312.978133542204 \tabularnewline
136 & 2425 & 2958.45491158573 & -533.454911585725 \tabularnewline
137 & 2707 & 3089.1029124797 & -382.102912479705 \tabularnewline
138 & 3244 & 2804.3683686048 & 439.631631395202 \tabularnewline
139 & 3965 & 3400.58248683264 & 564.417513167358 \tabularnewline
140 & 3315 & 3495.70091233922 & -180.700912339216 \tabularnewline
141 & 3333 & 3536.44233408507 & -203.442334085069 \tabularnewline
142 & 3583 & 3544.8226600404 & 38.1773399596041 \tabularnewline
143 & 4021 & 4266.04483352921 & -245.044833529215 \tabularnewline
144 & 4904 & 4708.49770291847 & 195.50229708153 \tabularnewline
145 & 2252 & 2372.17517874418 & -120.175178744181 \tabularnewline
146 & 2952 & 2920.48238460861 & 31.5176153913931 \tabularnewline
147 & 3573 & 3095.39618782369 & 477.603812176308 \tabularnewline
148 & 3048 & 2778.03362813252 & 269.966371867483 \tabularnewline
149 & 3059 & 3061.41375285022 & -2.41375285021923 \tabularnewline
150 & 2731 & 3089.00893130027 & -358.008931300266 \tabularnewline
151 & 3563 & 3629.64351109659 & -66.643511096589 \tabularnewline
152 & 3092 & 3413.90280922652 & -321.902809226523 \tabularnewline
153 & 3478 & 3427.84934703569 & 50.1506529643052 \tabularnewline
154 & 3478 & 3542.2437317917 & -64.2437317917042 \tabularnewline
155 & 4308 & 4161.49572906625 & 146.504270933751 \tabularnewline
156 & 5029 & 4791.09931454027 & 237.900685459728 \tabularnewline
157 & 2075 & 2363.85625030376 & -288.856250303764 \tabularnewline
158 & 3264 & 2939.52635862284 & 324.473641377157 \tabularnewline
159 & 3308 & 3292.48448941209 & 15.5155105879094 \tabularnewline
160 & 3688 & 2853.21933533916 & 834.780664660844 \tabularnewline
161 & 3136 & 3125.13319850425 & 10.8668014957548 \tabularnewline
162 & 2824 & 3047.65581804251 & -223.655818042511 \tabularnewline
163 & 3644 & 3700.5953793039 & -56.5953793038989 \tabularnewline
164 & 4694 & 3411.74437098918 & 1282.25562901082 \tabularnewline
165 & 2914 & 3756.27208601905 & -842.27208601905 \tabularnewline
166 & 3686 & 3735.98583927513 & -49.985839275133 \tabularnewline
167 & 4358 & 4433.365904756 & -75.3659047560004 \tabularnewline
168 & 5587 & 5073.19211581349 & 513.807884186508 \tabularnewline
169 & 2265 & 2527.00686188079 & -262.006861880791 \tabularnewline
170 & 3685 & 3308.33757430917 & 376.662425690828 \tabularnewline
171 & 3754 & 3583.28421186015 & 170.715788139846 \tabularnewline
172 & 3708 & 3431.18598058245 & 276.814019417551 \tabularnewline
173 & 3210 & 3386.62104665159 & -176.621046651593 \tabularnewline
174 & 3517 & 3220.28636201267 & 296.713637987325 \tabularnewline
175 & 3905 & 4000.45180595248 & -95.4518059524758 \tabularnewline
176 & 3670 & 4134.66673322755 & -464.666733227548 \tabularnewline
177 & 4221 & 3600.33798063115 & 620.662019368854 \tabularnewline
178 & 4404 & 4015.33443715829 & 388.665562841715 \tabularnewline
179 & 5086 & 4770.86653168879 & 315.133468311205 \tabularnewline
180 & 5725 & 5657.30927147184 & 67.6907285281559 \tabularnewline
181 & 2367 & 2826.40986638493 & -459.409866384926 \tabularnewline
182 & 3819 & 3792.52826834784 & 26.4717316521601 \tabularnewline
183 & 4067 & 3967.77056413094 & 99.2294358690629 \tabularnewline
184 & 4022 & 3846.8422138994 & 175.157786100602 \tabularnewline
185 & 3937 & 3654.72035250687 & 282.279647493131 \tabularnewline
186 & 4365 & 3701.86740927515 & 663.132590724845 \tabularnewline
187 & 4290 & 4417.47133932313 & -127.471339323134 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158942&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]2072[/C][C]1985.84268162393[/C][C]86.1573183760681[/C][/ROW]
[ROW][C]14[/C][C]2434[/C][C]2331.83381956737[/C][C]102.166180432627[/C][/ROW]
[ROW][C]15[/C][C]2956[/C][C]2837.70749586808[/C][C]118.292504131921[/C][/ROW]
[ROW][C]16[/C][C]2828[/C][C]2728.72779345654[/C][C]99.2722065434596[/C][/ROW]
[ROW][C]17[/C][C]2687[/C][C]2639.26067236222[/C][C]47.7393276377848[/C][/ROW]
[ROW][C]18[/C][C]2629[/C][C]2618.41124858674[/C][C]10.5887514132573[/C][/ROW]
[ROW][C]19[/C][C]3150[/C][C]2809.57697266194[/C][C]340.423027338057[/C][/ROW]
[ROW][C]20[/C][C]4119[/C][C]3751.3767657714[/C][C]367.623234228602[/C][/ROW]
[ROW][C]21[/C][C]3030[/C][C]2757.3615603168[/C][C]272.638439683199[/C][/ROW]
[ROW][C]22[/C][C]3055[/C][C]3592.02773556435[/C][C]-537.027735564348[/C][/ROW]
[ROW][C]23[/C][C]3821[/C][C]4348.72407950421[/C][C]-527.724079504207[/C][/ROW]
[ROW][C]24[/C][C]4001[/C][C]4209.73516408724[/C][C]-208.735164087236[/C][/ROW]
[ROW][C]25[/C][C]2529[/C][C]2364.00602923845[/C][C]164.99397076155[/C][/ROW]
[ROW][C]26[/C][C]2472[/C][C]2726.60730668683[/C][C]-254.607306686828[/C][/ROW]
[ROW][C]27[/C][C]3134[/C][C]3192.82320107492[/C][C]-58.8232010749202[/C][/ROW]
[ROW][C]28[/C][C]2789[/C][C]3053.95672088355[/C][C]-264.956720883546[/C][/ROW]
[ROW][C]29[/C][C]2758[/C][C]2898.66286027092[/C][C]-140.662860270918[/C][/ROW]
[ROW][C]30[/C][C]2993[/C][C]2836.62229787479[/C][C]156.377702125207[/C][/ROW]
[ROW][C]31[/C][C]3282[/C][C]3143.07883612007[/C][C]138.921163879931[/C][/ROW]
[ROW][C]32[/C][C]3437[/C][C]4061.68473144919[/C][C]-624.684731449194[/C][/ROW]
[ROW][C]33[/C][C]2804[/C][C]2901.54979310176[/C][C]-97.5497931017585[/C][/ROW]
[ROW][C]34[/C][C]3076[/C][C]3421.16448977637[/C][C]-345.164489776365[/C][/ROW]
[ROW][C]35[/C][C]3782[/C][C]4188.40004272897[/C][C]-406.40004272897[/C][/ROW]
[ROW][C]36[/C][C]3889[/C][C]4148.64968698879[/C][C]-259.64968698879[/C][/ROW]
[ROW][C]37[/C][C]2271[/C][C]2397.6388392132[/C][C]-126.638839213196[/C][/ROW]
[ROW][C]38[/C][C]2452[/C][C]2576.07994646338[/C][C]-124.079946463376[/C][/ROW]
[ROW][C]39[/C][C]3084[/C][C]3102.66234208907[/C][C]-18.6623420890737[/C][/ROW]
[ROW][C]40[/C][C]2522[/C][C]2888.21186410191[/C][C]-366.21186410191[/C][/ROW]
[ROW][C]41[/C][C]2769[/C][C]2742.05940324467[/C][C]26.9405967553339[/C][/ROW]
[ROW][C]42[/C][C]3438[/C][C]2777.29625715941[/C][C]660.703742840587[/C][/ROW]
[ROW][C]43[/C][C]2839[/C][C]3128.38860904674[/C][C]-289.388609046744[/C][/ROW]
[ROW][C]44[/C][C]3746[/C][C]3741.33388615059[/C][C]4.66611384940734[/C][/ROW]
[ROW][C]45[/C][C]2632[/C][C]2812.33696109063[/C][C]-180.336961090627[/C][/ROW]
[ROW][C]46[/C][C]2851[/C][C]3233.6625103791[/C][C]-382.662510379102[/C][/ROW]
[ROW][C]47[/C][C]3871[/C][C]3965.92261036982[/C][C]-94.9226103698229[/C][/ROW]
[ROW][C]48[/C][C]3618[/C][C]4001.26623179287[/C][C]-383.266231792872[/C][/ROW]
[ROW][C]49[/C][C]2389[/C][C]2266.6321052102[/C][C]122.367894789798[/C][/ROW]
[ROW][C]50[/C][C]2344[/C][C]2468.55758762944[/C][C]-124.557587629437[/C][/ROW]
[ROW][C]51[/C][C]2678[/C][C]3019.98213099738[/C][C]-341.982130997376[/C][/ROW]
[ROW][C]52[/C][C]2492[/C][C]2647.14080400068[/C][C]-155.14080400068[/C][/ROW]
[ROW][C]53[/C][C]2858[/C][C]2640.56474710114[/C][C]217.435252898858[/C][/ROW]
[ROW][C]54[/C][C]2246[/C][C]2889.24455719365[/C][C]-643.244557193651[/C][/ROW]
[ROW][C]55[/C][C]2800[/C][C]2766.80344368408[/C][C]33.1965563159183[/C][/ROW]
[ROW][C]56[/C][C]3869[/C][C]3496.06213210272[/C][C]372.937867897285[/C][/ROW]
[ROW][C]57[/C][C]3007[/C][C]2542.66774864445[/C][C]464.332251355553[/C][/ROW]
[ROW][C]58[/C][C]3023[/C][C]2973.16047335615[/C][C]49.8395266438456[/C][/ROW]
[ROW][C]59[/C][C]3907[/C][C]3844.45119617394[/C][C]62.548803826061[/C][/ROW]
[ROW][C]60[/C][C]4209[/C][C]3806.8486864021[/C][C]402.151313597899[/C][/ROW]
[ROW][C]61[/C][C]2353[/C][C]2329.76460617476[/C][C]23.2353938252359[/C][/ROW]
[ROW][C]62[/C][C]2570[/C][C]2445.40280049509[/C][C]124.597199504914[/C][/ROW]
[ROW][C]63[/C][C]2903[/C][C]2964.4649413346[/C][C]-61.4649413345987[/C][/ROW]
[ROW][C]64[/C][C]2910[/C][C]2691.16850705702[/C][C]218.831492942976[/C][/ROW]
[ROW][C]65[/C][C]3782[/C][C]2856.35147251985[/C][C]925.648527480148[/C][/ROW]
[ROW][C]66[/C][C]2759[/C][C]2939.3282216137[/C][C]-180.328221613704[/C][/ROW]
[ROW][C]67[/C][C]2931[/C][C]3103.25163278106[/C][C]-172.251632781056[/C][/ROW]
[ROW][C]68[/C][C]3641[/C][C]3930.28429495836[/C][C]-289.284294958364[/C][/ROW]
[ROW][C]69[/C][C]2794[/C][C]2936.06447428771[/C][C]-142.064474287714[/C][/ROW]
[ROW][C]70[/C][C]3070[/C][C]3170.37941064005[/C][C]-100.379410640046[/C][/ROW]
[ROW][C]71[/C][C]3576[/C][C]4033.43241840359[/C][C]-457.432418403586[/C][/ROW]
[ROW][C]72[/C][C]4106[/C][C]4039.91144206169[/C][C]66.0885579383139[/C][/ROW]
[ROW][C]73[/C][C]2452[/C][C]2403.18067424951[/C][C]48.8193257504872[/C][/ROW]
[ROW][C]74[/C][C]2206[/C][C]2553.37813390404[/C][C]-347.378133904044[/C][/ROW]
[ROW][C]75[/C][C]2488[/C][C]2952.68895069484[/C][C]-464.68895069484[/C][/ROW]
[ROW][C]76[/C][C]2416[/C][C]2710.19466911775[/C][C]-294.19466911775[/C][/ROW]
[ROW][C]77[/C][C]2534[/C][C]3021.53097667219[/C][C]-487.530976672187[/C][/ROW]
[ROW][C]78[/C][C]2521[/C][C]2564.60394021622[/C][C]-43.6039402162196[/C][/ROW]
[ROW][C]79[/C][C]3093[/C][C]2727.10450740941[/C][C]365.895492590586[/C][/ROW]
[ROW][C]80[/C][C]3903[/C][C]3567.26062737737[/C][C]335.739372622631[/C][/ROW]
[ROW][C]81[/C][C]2907[/C][C]2683.95972539169[/C][C]223.040274608311[/C][/ROW]
[ROW][C]82[/C][C]3025[/C][C]2967.20294616926[/C][C]57.79705383074[/C][/ROW]
[ROW][C]83[/C][C]3812[/C][C]3730.80775400254[/C][C]81.1922459974644[/C][/ROW]
[ROW][C]84[/C][C]4209[/C][C]3962.96892683408[/C][C]246.031073165923[/C][/ROW]
[ROW][C]85[/C][C]2138[/C][C]2340.82441112063[/C][C]-202.824411120634[/C][/ROW]
[ROW][C]86[/C][C]2419[/C][C]2332.61676822777[/C][C]86.3832317722295[/C][/ROW]
[ROW][C]87[/C][C]2622[/C][C]2747.97003496448[/C][C]-125.970034964482[/C][/ROW]
[ROW][C]88[/C][C]2912[/C][C]2602.07257418136[/C][C]309.927425818638[/C][/ROW]
[ROW][C]89[/C][C]2708[/C][C]2934.00668175197[/C][C]-226.006681751966[/C][/ROW]
[ROW][C]90[/C][C]2798[/C][C]2656.02211769382[/C][C]141.977882306175[/C][/ROW]
[ROW][C]91[/C][C]3254[/C][C]2978.84403926437[/C][C]275.155960735634[/C][/ROW]
[ROW][C]92[/C][C]2895[/C][C]3807.7497793188[/C][C]-912.749779318796[/C][/ROW]
[ROW][C]93[/C][C]3263[/C][C]2735.53052504488[/C][C]527.469474955115[/C][/ROW]
[ROW][C]94[/C][C]3736[/C][C]3006.73757444077[/C][C]729.262425559233[/C][/ROW]
[ROW][C]95[/C][C]4077[/C][C]3867.35356929837[/C][C]209.646430701626[/C][/ROW]
[ROW][C]96[/C][C]4097[/C][C]4174.81369316145[/C][C]-77.8136931614463[/C][/ROW]
[ROW][C]97[/C][C]2175[/C][C]2378.76906556794[/C][C]-203.769065567942[/C][/ROW]
[ROW][C]98[/C][C]3138[/C][C]2466.17086096439[/C][C]671.829139035609[/C][/ROW]
[ROW][C]99[/C][C]2823[/C][C]2897.55952585452[/C][C]-74.559525854525[/C][/ROW]
[ROW][C]100[/C][C]2498[/C][C]2904.30720428687[/C][C]-406.307204286868[/C][/ROW]
[ROW][C]101[/C][C]2822[/C][C]2986.37093875663[/C][C]-164.370938756632[/C][/ROW]
[ROW][C]102[/C][C]2738[/C][C]2836.08156851921[/C][C]-98.081568519211[/C][/ROW]
[ROW][C]103[/C][C]4137[/C][C]3174.54150425145[/C][C]962.45849574855[/C][/ROW]
[ROW][C]104[/C][C]3515[/C][C]3727.02166684934[/C][C]-212.021666849335[/C][/ROW]
[ROW][C]105[/C][C]3785[/C][C]3203.81232021761[/C][C]581.187679782386[/C][/ROW]
[ROW][C]106[/C][C]3632[/C][C]3559.2792123289[/C][C]72.7207876711032[/C][/ROW]
[ROW][C]107[/C][C]4504[/C][C]4187.13378151883[/C][C]316.86621848117[/C][/ROW]
[ROW][C]108[/C][C]4451[/C][C]4428.83653875697[/C][C]22.1634612430298[/C][/ROW]
[ROW][C]109[/C][C]2550[/C][C]2617.20779232624[/C][C]-67.2077923262409[/C][/ROW]
[ROW][C]110[/C][C]2867[/C][C]3006.45075866316[/C][C]-139.450758663159[/C][/ROW]
[ROW][C]111[/C][C]3458[/C][C]3111.82887619462[/C][C]346.171123805381[/C][/ROW]
[ROW][C]112[/C][C]2961[/C][C]3076.37613699677[/C][C]-115.376136996769[/C][/ROW]
[ROW][C]113[/C][C]3163[/C][C]3281.17149011807[/C][C]-118.17149011807[/C][/ROW]
[ROW][C]114[/C][C]2880[/C][C]3169.19294939313[/C][C]-289.192949393127[/C][/ROW]
[ROW][C]115[/C][C]3331[/C][C]3824.91406459159[/C][C]-493.914064591589[/C][/ROW]
[ROW][C]116[/C][C]3062[/C][C]3831.90729050567[/C][C]-769.907290505671[/C][/ROW]
[ROW][C]117[/C][C]3534[/C][C]3482.06129245243[/C][C]51.9387075475729[/C][/ROW]
[ROW][C]118[/C][C]3622[/C][C]3604.99338400231[/C][C]17.0066159976864[/C][/ROW]
[ROW][C]119[/C][C]4464[/C][C]4292.4464441031[/C][C]171.553555896897[/C][/ROW]
[ROW][C]120[/C][C]5411[/C][C]4413.81936884645[/C][C]997.180631153552[/C][/ROW]
[ROW][C]121[/C][C]2564[/C][C]2691.05023608211[/C][C]-127.050236082111[/C][/ROW]
[ROW][C]122[/C][C]2820[/C][C]3046.8148223287[/C][C]-226.814822328703[/C][/ROW]
[ROW][C]123[/C][C]3508[/C][C]3288.36918390891[/C][C]219.630816091089[/C][/ROW]
[ROW][C]124[/C][C]3088[/C][C]3088.36093058303[/C][C]-0.360930583034133[/C][/ROW]
[ROW][C]125[/C][C]3299[/C][C]3302.03297606065[/C][C]-3.03297606064962[/C][/ROW]
[ROW][C]126[/C][C]2939[/C][C]3147.45246753121[/C][C]-208.452467531208[/C][/ROW]
[ROW][C]127[/C][C]3320[/C][C]3746.47363493721[/C][C]-426.473634937205[/C][/ROW]
[ROW][C]128[/C][C]3418[/C][C]3673.45993355717[/C][C]-255.459933557172[/C][/ROW]
[ROW][C]129[/C][C]3604[/C][C]3644.38614000649[/C][C]-40.386140006493[/C][/ROW]
[ROW][C]130[/C][C]3495[/C][C]3745.99878242076[/C][C]-250.998782420762[/C][/ROW]
[ROW][C]131[/C][C]4163[/C][C]4447.46724872395[/C][C]-284.467248723952[/C][/ROW]
[ROW][C]132[/C][C]4882[/C][C]4765.18623142798[/C][C]116.813768572019[/C][/ROW]
[ROW][C]133[/C][C]2211[/C][C]2572.63210130506[/C][C]-361.632101305057[/C][/ROW]
[ROW][C]134[/C][C]3260[/C][C]2855.18846144273[/C][C]404.811538557267[/C][/ROW]
[ROW][C]135[/C][C]2992[/C][C]3304.9781335422[/C][C]-312.978133542204[/C][/ROW]
[ROW][C]136[/C][C]2425[/C][C]2958.45491158573[/C][C]-533.454911585725[/C][/ROW]
[ROW][C]137[/C][C]2707[/C][C]3089.1029124797[/C][C]-382.102912479705[/C][/ROW]
[ROW][C]138[/C][C]3244[/C][C]2804.3683686048[/C][C]439.631631395202[/C][/ROW]
[ROW][C]139[/C][C]3965[/C][C]3400.58248683264[/C][C]564.417513167358[/C][/ROW]
[ROW][C]140[/C][C]3315[/C][C]3495.70091233922[/C][C]-180.700912339216[/C][/ROW]
[ROW][C]141[/C][C]3333[/C][C]3536.44233408507[/C][C]-203.442334085069[/C][/ROW]
[ROW][C]142[/C][C]3583[/C][C]3544.8226600404[/C][C]38.1773399596041[/C][/ROW]
[ROW][C]143[/C][C]4021[/C][C]4266.04483352921[/C][C]-245.044833529215[/C][/ROW]
[ROW][C]144[/C][C]4904[/C][C]4708.49770291847[/C][C]195.50229708153[/C][/ROW]
[ROW][C]145[/C][C]2252[/C][C]2372.17517874418[/C][C]-120.175178744181[/C][/ROW]
[ROW][C]146[/C][C]2952[/C][C]2920.48238460861[/C][C]31.5176153913931[/C][/ROW]
[ROW][C]147[/C][C]3573[/C][C]3095.39618782369[/C][C]477.603812176308[/C][/ROW]
[ROW][C]148[/C][C]3048[/C][C]2778.03362813252[/C][C]269.966371867483[/C][/ROW]
[ROW][C]149[/C][C]3059[/C][C]3061.41375285022[/C][C]-2.41375285021923[/C][/ROW]
[ROW][C]150[/C][C]2731[/C][C]3089.00893130027[/C][C]-358.008931300266[/C][/ROW]
[ROW][C]151[/C][C]3563[/C][C]3629.64351109659[/C][C]-66.643511096589[/C][/ROW]
[ROW][C]152[/C][C]3092[/C][C]3413.90280922652[/C][C]-321.902809226523[/C][/ROW]
[ROW][C]153[/C][C]3478[/C][C]3427.84934703569[/C][C]50.1506529643052[/C][/ROW]
[ROW][C]154[/C][C]3478[/C][C]3542.2437317917[/C][C]-64.2437317917042[/C][/ROW]
[ROW][C]155[/C][C]4308[/C][C]4161.49572906625[/C][C]146.504270933751[/C][/ROW]
[ROW][C]156[/C][C]5029[/C][C]4791.09931454027[/C][C]237.900685459728[/C][/ROW]
[ROW][C]157[/C][C]2075[/C][C]2363.85625030376[/C][C]-288.856250303764[/C][/ROW]
[ROW][C]158[/C][C]3264[/C][C]2939.52635862284[/C][C]324.473641377157[/C][/ROW]
[ROW][C]159[/C][C]3308[/C][C]3292.48448941209[/C][C]15.5155105879094[/C][/ROW]
[ROW][C]160[/C][C]3688[/C][C]2853.21933533916[/C][C]834.780664660844[/C][/ROW]
[ROW][C]161[/C][C]3136[/C][C]3125.13319850425[/C][C]10.8668014957548[/C][/ROW]
[ROW][C]162[/C][C]2824[/C][C]3047.65581804251[/C][C]-223.655818042511[/C][/ROW]
[ROW][C]163[/C][C]3644[/C][C]3700.5953793039[/C][C]-56.5953793038989[/C][/ROW]
[ROW][C]164[/C][C]4694[/C][C]3411.74437098918[/C][C]1282.25562901082[/C][/ROW]
[ROW][C]165[/C][C]2914[/C][C]3756.27208601905[/C][C]-842.27208601905[/C][/ROW]
[ROW][C]166[/C][C]3686[/C][C]3735.98583927513[/C][C]-49.985839275133[/C][/ROW]
[ROW][C]167[/C][C]4358[/C][C]4433.365904756[/C][C]-75.3659047560004[/C][/ROW]
[ROW][C]168[/C][C]5587[/C][C]5073.19211581349[/C][C]513.807884186508[/C][/ROW]
[ROW][C]169[/C][C]2265[/C][C]2527.00686188079[/C][C]-262.006861880791[/C][/ROW]
[ROW][C]170[/C][C]3685[/C][C]3308.33757430917[/C][C]376.662425690828[/C][/ROW]
[ROW][C]171[/C][C]3754[/C][C]3583.28421186015[/C][C]170.715788139846[/C][/ROW]
[ROW][C]172[/C][C]3708[/C][C]3431.18598058245[/C][C]276.814019417551[/C][/ROW]
[ROW][C]173[/C][C]3210[/C][C]3386.62104665159[/C][C]-176.621046651593[/C][/ROW]
[ROW][C]174[/C][C]3517[/C][C]3220.28636201267[/C][C]296.713637987325[/C][/ROW]
[ROW][C]175[/C][C]3905[/C][C]4000.45180595248[/C][C]-95.4518059524758[/C][/ROW]
[ROW][C]176[/C][C]3670[/C][C]4134.66673322755[/C][C]-464.666733227548[/C][/ROW]
[ROW][C]177[/C][C]4221[/C][C]3600.33798063115[/C][C]620.662019368854[/C][/ROW]
[ROW][C]178[/C][C]4404[/C][C]4015.33443715829[/C][C]388.665562841715[/C][/ROW]
[ROW][C]179[/C][C]5086[/C][C]4770.86653168879[/C][C]315.133468311205[/C][/ROW]
[ROW][C]180[/C][C]5725[/C][C]5657.30927147184[/C][C]67.6907285281559[/C][/ROW]
[ROW][C]181[/C][C]2367[/C][C]2826.40986638493[/C][C]-459.409866384926[/C][/ROW]
[ROW][C]182[/C][C]3819[/C][C]3792.52826834784[/C][C]26.4717316521601[/C][/ROW]
[ROW][C]183[/C][C]4067[/C][C]3967.77056413094[/C][C]99.2294358690629[/C][/ROW]
[ROW][C]184[/C][C]4022[/C][C]3846.8422138994[/C][C]175.157786100602[/C][/ROW]
[ROW][C]185[/C][C]3937[/C][C]3654.72035250687[/C][C]282.279647493131[/C][/ROW]
[ROW][C]186[/C][C]4365[/C][C]3701.86740927515[/C][C]663.132590724845[/C][/ROW]
[ROW][C]187[/C][C]4290[/C][C]4417.47133932313[/C][C]-127.471339323134[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158942&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158942&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
1320721985.8426816239386.1573183760681
1424342331.83381956737102.166180432627
1529562837.70749586808118.292504131921
1628282728.7277934565499.2722065434596
1726872639.2606723622247.7393276377848
1826292618.4112485867410.5887514132573
1931502809.57697266194340.423027338057
2041193751.3767657714367.623234228602
2130302757.3615603168272.638439683199
2230553592.02773556435-537.027735564348
2338214348.72407950421-527.724079504207
2440014209.73516408724-208.735164087236
2525292364.00602923845164.99397076155
2624722726.60730668683-254.607306686828
2731343192.82320107492-58.8232010749202
2827893053.95672088355-264.956720883546
2927582898.66286027092-140.662860270918
3029932836.62229787479156.377702125207
3132823143.07883612007138.921163879931
3234374061.68473144919-624.684731449194
3328042901.54979310176-97.5497931017585
3430763421.16448977637-345.164489776365
3537824188.40004272897-406.40004272897
3638894148.64968698879-259.64968698879
3722712397.6388392132-126.638839213196
3824522576.07994646338-124.079946463376
3930843102.66234208907-18.6623420890737
4025222888.21186410191-366.21186410191
4127692742.0594032446726.9405967553339
4234382777.29625715941660.703742840587
4328393128.38860904674-289.388609046744
4437463741.333886150594.66611384940734
4526322812.33696109063-180.336961090627
4628513233.6625103791-382.662510379102
4738713965.92261036982-94.9226103698229
4836184001.26623179287-383.266231792872
4923892266.6321052102122.367894789798
5023442468.55758762944-124.557587629437
5126783019.98213099738-341.982130997376
5224922647.14080400068-155.14080400068
5328582640.56474710114217.435252898858
5422462889.24455719365-643.244557193651
5528002766.8034436840833.1965563159183
5638693496.06213210272372.937867897285
5730072542.66774864445464.332251355553
5830232973.1604733561549.8395266438456
5939073844.4511961739462.548803826061
6042093806.8486864021402.151313597899
6123532329.7646061747623.2353938252359
6225702445.40280049509124.597199504914
6329032964.4649413346-61.4649413345987
6429102691.16850705702218.831492942976
6537822856.35147251985925.648527480148
6627592939.3282216137-180.328221613704
6729313103.25163278106-172.251632781056
6836413930.28429495836-289.284294958364
6927942936.06447428771-142.064474287714
7030703170.37941064005-100.379410640046
7135764033.43241840359-457.432418403586
7241064039.9114420616966.0885579383139
7324522403.1806742495148.8193257504872
7422062553.37813390404-347.378133904044
7524882952.68895069484-464.68895069484
7624162710.19466911775-294.19466911775
7725343021.53097667219-487.530976672187
7825212564.60394021622-43.6039402162196
7930932727.10450740941365.895492590586
8039033567.26062737737335.739372622631
8129072683.95972539169223.040274608311
8230252967.2029461692657.79705383074
8338123730.8077540025481.1922459974644
8442093962.96892683408246.031073165923
8521382340.82441112063-202.824411120634
8624192332.6167682277786.3832317722295
8726222747.97003496448-125.970034964482
8829122602.07257418136309.927425818638
8927082934.00668175197-226.006681751966
9027982656.02211769382141.977882306175
9132542978.84403926437275.155960735634
9228953807.7497793188-912.749779318796
9332632735.53052504488527.469474955115
9437363006.73757444077729.262425559233
9540773867.35356929837209.646430701626
9640974174.81369316145-77.8136931614463
9721752378.76906556794-203.769065567942
9831382466.17086096439671.829139035609
9928232897.55952585452-74.559525854525
10024982904.30720428687-406.307204286868
10128222986.37093875663-164.370938756632
10227382836.08156851921-98.081568519211
10341373174.54150425145962.45849574855
10435153727.02166684934-212.021666849335
10537853203.81232021761581.187679782386
10636323559.279212328972.7207876711032
10745044187.13378151883316.86621848117
10844514428.8365387569722.1634612430298
10925502617.20779232624-67.2077923262409
11028673006.45075866316-139.450758663159
11134583111.82887619462346.171123805381
11229613076.37613699677-115.376136996769
11331633281.17149011807-118.17149011807
11428803169.19294939313-289.192949393127
11533313824.91406459159-493.914064591589
11630623831.90729050567-769.907290505671
11735343482.0612924524351.9387075475729
11836223604.9933840023117.0066159976864
11944644292.4464441031171.553555896897
12054114413.81936884645997.180631153552
12125642691.05023608211-127.050236082111
12228203046.8148223287-226.814822328703
12335083288.36918390891219.630816091089
12430883088.36093058303-0.360930583034133
12532993302.03297606065-3.03297606064962
12629393147.45246753121-208.452467531208
12733203746.47363493721-426.473634937205
12834183673.45993355717-255.459933557172
12936043644.38614000649-40.386140006493
13034953745.99878242076-250.998782420762
13141634447.46724872395-284.467248723952
13248824765.18623142798116.813768572019
13322112572.63210130506-361.632101305057
13432602855.18846144273404.811538557267
13529923304.9781335422-312.978133542204
13624252958.45491158573-533.454911585725
13727073089.1029124797-382.102912479705
13832442804.3683686048439.631631395202
13939653400.58248683264564.417513167358
14033153495.70091233922-180.700912339216
14133333536.44233408507-203.442334085069
14235833544.822660040438.1773399596041
14340214266.04483352921-245.044833529215
14449044708.49770291847195.50229708153
14522522372.17517874418-120.175178744181
14629522920.4823846086131.5176153913931
14735733095.39618782369477.603812176308
14830482778.03362813252269.966371867483
14930593061.41375285022-2.41375285021923
15027313089.00893130027-358.008931300266
15135633629.64351109659-66.643511096589
15230923413.90280922652-321.902809226523
15334783427.8493470356950.1506529643052
15434783542.2437317917-64.2437317917042
15543084161.49572906625146.504270933751
15650294791.09931454027237.900685459728
15720752363.85625030376-288.856250303764
15832642939.52635862284324.473641377157
15933083292.4844894120915.5155105879094
16036882853.21933533916834.780664660844
16131363125.1331985042510.8668014957548
16228243047.65581804251-223.655818042511
16336443700.5953793039-56.5953793038989
16446943411.744370989181282.25562901082
16529143756.27208601905-842.27208601905
16636863735.98583927513-49.985839275133
16743584433.365904756-75.3659047560004
16855875073.19211581349513.807884186508
16922652527.00686188079-262.006861880791
17036853308.33757430917376.662425690828
17137543583.28421186015170.715788139846
17237083431.18598058245276.814019417551
17332103386.62104665159-176.621046651593
17435173220.28636201267296.713637987325
17539054000.45180595248-95.4518059524758
17636704134.66673322755-464.666733227548
17742213600.33798063115620.662019368854
17844044015.33443715829388.665562841715
17950864770.86653168879315.133468311205
18057255657.3092714718467.6907285281559
18123672826.40986638493-459.409866384926
18238193792.5282683478426.4717316521601
18340673967.7705641309499.2294358690629
18440223846.8422138994175.157786100602
18539373654.72035250687282.279647493131
18643653701.86740927515663.132590724845
18742904417.47133932313-127.471339323134







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1884445.046176527443762.81519710675127.27715594817
1894321.652304033143633.623037736755009.68157032954
1904599.173010474853904.696743723785293.64927722592
1915292.087237131134590.493506906685993.68096735557
1926068.361371671245358.96069890726777.76204443528
1933070.104434956882352.191102184463788.0177677293
1944252.640927070693525.495762429064979.78609171231
1954455.728014708983718.621144984925192.83488443304
1964353.921129827013606.11466704475101.72759260932
1974179.946801651793420.697430743984939.19617255959
1984315.128579096763543.690018135775086.56714005776
1994702.047061402463917.67237049995486.42175230501

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 4445.04617652744 & 3762.8151971067 & 5127.27715594817 \tabularnewline
189 & 4321.65230403314 & 3633.62303773675 & 5009.68157032954 \tabularnewline
190 & 4599.17301047485 & 3904.69674372378 & 5293.64927722592 \tabularnewline
191 & 5292.08723713113 & 4590.49350690668 & 5993.68096735557 \tabularnewline
192 & 6068.36137167124 & 5358.9606989072 & 6777.76204443528 \tabularnewline
193 & 3070.10443495688 & 2352.19110218446 & 3788.0177677293 \tabularnewline
194 & 4252.64092707069 & 3525.49576242906 & 4979.78609171231 \tabularnewline
195 & 4455.72801470898 & 3718.62114498492 & 5192.83488443304 \tabularnewline
196 & 4353.92112982701 & 3606.1146670447 & 5101.72759260932 \tabularnewline
197 & 4179.94680165179 & 3420.69743074398 & 4939.19617255959 \tabularnewline
198 & 4315.12857909676 & 3543.69001813577 & 5086.56714005776 \tabularnewline
199 & 4702.04706140246 & 3917.6723704999 & 5486.42175230501 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158942&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]188[/C][C]4445.04617652744[/C][C]3762.8151971067[/C][C]5127.27715594817[/C][/ROW]
[ROW][C]189[/C][C]4321.65230403314[/C][C]3633.62303773675[/C][C]5009.68157032954[/C][/ROW]
[ROW][C]190[/C][C]4599.17301047485[/C][C]3904.69674372378[/C][C]5293.64927722592[/C][/ROW]
[ROW][C]191[/C][C]5292.08723713113[/C][C]4590.49350690668[/C][C]5993.68096735557[/C][/ROW]
[ROW][C]192[/C][C]6068.36137167124[/C][C]5358.9606989072[/C][C]6777.76204443528[/C][/ROW]
[ROW][C]193[/C][C]3070.10443495688[/C][C]2352.19110218446[/C][C]3788.0177677293[/C][/ROW]
[ROW][C]194[/C][C]4252.64092707069[/C][C]3525.49576242906[/C][C]4979.78609171231[/C][/ROW]
[ROW][C]195[/C][C]4455.72801470898[/C][C]3718.62114498492[/C][C]5192.83488443304[/C][/ROW]
[ROW][C]196[/C][C]4353.92112982701[/C][C]3606.1146670447[/C][C]5101.72759260932[/C][/ROW]
[ROW][C]197[/C][C]4179.94680165179[/C][C]3420.69743074398[/C][C]4939.19617255959[/C][/ROW]
[ROW][C]198[/C][C]4315.12857909676[/C][C]3543.69001813577[/C][C]5086.56714005776[/C][/ROW]
[ROW][C]199[/C][C]4702.04706140246[/C][C]3917.6723704999[/C][C]5486.42175230501[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158942&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158942&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
1884445.046176527443762.81519710675127.27715594817
1894321.652304033143633.623037736755009.68157032954
1904599.173010474853904.696743723785293.64927722592
1915292.087237131134590.493506906685993.68096735557
1926068.361371671245358.96069890726777.76204443528
1933070.104434956882352.191102184463788.0177677293
1944252.640927070693525.495762429064979.78609171231
1954455.728014708983718.621144984925192.83488443304
1964353.921129827013606.11466704475101.72759260932
1974179.946801651793420.697430743984939.19617255959
1984315.128579096763543.690018135775086.56714005776
1994702.047061402463917.67237049995486.42175230501



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