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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 03 Jun 2009 07:35:41 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/03/t1244036426djm4kouk0f09fwo.htm/, Retrieved Sun, 12 May 2024 11:40:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41489, Retrieved Sun, 12 May 2024 11:40:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsEvelien Anthonissen
Estimated Impact127
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opdracht 10 - eig...] [2009-06-03 13:35:41] [d41d8cd98f00b204e9800998ecf8427e] [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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41489&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41489&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41489&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.122926496035536
beta0.0628758944477284
gamma0.3550319570393

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.122926496035536 \tabularnewline
beta & 0.0628758944477284 \tabularnewline
gamma & 0.3550319570393 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41489&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]0.122926496035536[/C][/ROW]
[ROW][C]beta[/C][C]0.0628758944477284[/C][/ROW]
[ROW][C]gamma[/C][C]0.3550319570393[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41489&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41489&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
alpha0.122926496035536
beta0.0628758944477284
gamma0.3550319570393







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1320721985.8426816239386.1573183760681
1424342331.8340299847102.165970015300
1529562837.70791816454118.292081835465
1628282728.7284256786999.2715743213057
1726872639.2614234389447.738576561057
1826292618.4119605589510.5880394410538
1931502809.57754848236340.422451517636
2041193751.37802201576367.621977984239
2130302757.36342998386272.636570016143
2230553592.02985353973-537.029853539726
2338214348.72438939199-527.724389391993
2440014209.73397170188-208.733971701879
2525292364.00438489807164.995615101928
2624722726.60613803078-254.606138030775
2731343192.82141403267-58.8214140326686
2827893053.95490779798-264.954907797978
2927582898.66056445638-140.660564456383
3029932836.61998289932156.380017100676
3132823143.07735942779138.922640572210
3234374061.68363251219-624.683632512194
3328042901.54715194120-97.5471519411958
3430763421.16186449278-345.161864492782
3537824188.39764373804-406.397643738035
3638894148.6473556987-259.647355698698
3722712397.63668945409-126.636689454093
3824522576.07782070433-124.077820704326
3930843102.66072416236-18.6607241623569
4025222888.21071493319-366.210714933193
4127692742.0580507965826.9419492034181
4234382777.29567812917660.704321870835
4328393128.39002998256-289.390029982563
4437463741.334355532674.66564446733264
4526322812.33817008831-180.338170088309
4628513233.6632711899-382.663271189899
4738713965.92325211251-94.9232521125068
4836184001.26755773092-383.267557730925
4923892266.63298796773122.367012032265
5023442468.55887358033-124.558873580335
5126783019.98345992279-341.983459922785
5224922647.14131476486-155.141314764858
5328582640.56559660929217.434403390708
5422462889.24630185622-643.246301856221
5528002766.8029425655333.197057434465
5638693496.06223569706372.937764302944
5730072542.66942181805464.330578181948
5830232973.1634211690949.836578830907
5939073844.4549092729162.5450907270874
6042093806.85276087344402.147239126561
6123532329.7699397574623.2300602425412
6225702445.40734636475124.592653635254
6329032964.46944013528-61.4694401352804
6429102691.17247120066218.827528799345
6537822856.3558652183925.6441347817
6627592939.33394152907-180.333941529074
6729313103.25602286572-172.256022865717
6836413930.28742127508-289.287421275078
6927942936.06607224404-142.066072244042
7030703170.37978328149-100.379783281490
7135764033.43280332002-457.43280332002
7241064039.9108519103266.0891480896753
7324522403.1803107491648.8196892508377
7422062553.37776636195-347.377766361951
7524882952.68776171025-464.687761710252
7624162710.19276812224-294.192768122236
7725343021.52894889665-487.528948896653
7825212564.60006345212-43.6000634521229
7930932727.10156545076365.898434549241
8039033567.25938612931335.740613870687
8129072683.95986759605223.040132403946
8230252967.2036067638757.7963932361326
8338123730.8089496860681.1910503139356
8442093962.97097359688246.029026403124
8521382340.82685647277-202.826856472768
8624192332.6182681568786.3817318431288
8726222747.97188081392-125.971880813917
8829122602.07444211761309.925557882394
8927082934.00939929065-226.009399290653
9027982656.02354718919141.976452810813
9132542978.84576534434275.154234655663
9228953807.75159723942-912.75159723942
9332632735.52955902784527.470440972156
9437363006.73767993719729.262320062809
9540773867.35558805113209.644411948873
9640974174.81628681047-77.8162868104691
9721752378.77072385198-203.770723851980
9831382466.17178583668671.828214163319
9928232897.56192835713-74.56192835713
10024982904.30945959739-406.309459597394
10128222986.37158164533-164.37158164533
10227382836.08158976521-98.0815897652083
10341373174.54113837325962.458861626747
10435153727.02293230079-212.022932300790
10537853203.81346887837581.186531121627
10636323559.2806729936872.7193270063226
10745044187.13434804106316.865651958936
10844514428.8376295453122.1623704546910
10925502617.20838351865-67.2083835186463
11028673006.45119889580-139.451198895796
11134583111.82800207176346.171997928244
11229613076.37637597602-115.376375976025
11331633281.17142891415-118.171428914148
11428803169.19245135751-289.192451357508
11533313824.91286352036-493.912863520358
11630623831.90335835759-769.903358357587
11735343482.0567160238351.9432839761744
11836223604.9884728326617.0115271673412
11944644292.4418484161171.558151583899
12054114413.81564891984997.184351080162
12125642691.04947042788-127.049470427883
12228203046.81419779610-226.814197796104
12335083288.36791028975219.632089710246
12430883088.36034768323-0.360347683228156
12532993302.03285500293-3.03285500292941
12629393147.45257798524-208.452577985241
12733203746.47360320174-426.473603201739
12834183673.45823051455-255.458230514551
12936043644.38533326350-40.3853332634958
13034953745.99717247956-250.997172479556
13141634447.46493076533-284.464930765332
13248824765.18339065509116.816609344907
13322112572.62900626506-361.629006265062
13432602855.18544957032404.814550429679
13529923304.97692607819-312.97692607819
13624252958.45309332827-533.453093328269
13727073089.10059535481-382.100595354811
13832442804.36593210832439.634067891679
13939653400.58228740883564.417712591167
14033153495.70243563438-180.702435634384
14133333536.44455974871-203.444559748712
14235833544.8237532142638.1762467857429
14340214266.04603436235-245.046034362346
14449044708.49844443965195.501555560354
14522522372.17554589575-120.175545895752
14629522920.4832064035731.5167935964296
14735733095.39678166789477.603218332115
14830482778.03554126245269.964458737551
14930593061.41680034781-2.41680034781075
15027313089.01212149424-358.012121494243
15135633629.64534753971-66.6453475397057
15230923413.90371013267-321.903710132667
15334783427.8503399015250.1496600984797
15434783542.24466528959-64.2446652895878
15543084161.49633424889146.503665751109
15650294791.10060577057237.899394229431
15720752363.85710834031-288.857108340314
15832642939.52692001224324.473079987761
15933083292.4855778878015.514422112195
16036882853.2199254804834.780074519599
16131363125.1359475231410.8640524768607
16228243047.6584912207-223.6584912207
16336443700.59738569295-56.5973856929468
16446943411.745496642481282.25450335752
16529143756.27703309174-842.277033091744
16636863735.98764230341-49.9876423034134
16743584433.36712797424-75.3671279742439
16855875073.19288437053513.807115629471
16922652527.00768169796-262.007681697959
17036853308.33804125099376.661958749015
17137543583.28479624520170.715203754796
17237083431.18647571931276.813524280691
17332103386.62118186770-176.621181867704
17435173220.2860031215296.713996878497
17539054000.45244280169-95.4524428016935
17636704134.66680512631-464.66680512631
17742213600.3359147728620.664085227198
17844044015.33478510540388.665214894605
17950864770.86756869772315.132431302284
18057255657.3108687386267.6891312613761
18123672826.40991027566-459.409910275665
18238193792.527594179826.4724058202037
18340673967.7690500486199.230949951395
18440223846.84062861367175.15937138633
18539373654.71835916725282.281640832750
18643653701.86648290655663.133517093449
18742904417.47188522259-127.471885222589

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2072 & 1985.84268162393 & 86.1573183760681 \tabularnewline
14 & 2434 & 2331.8340299847 & 102.165970015300 \tabularnewline
15 & 2956 & 2837.70791816454 & 118.292081835465 \tabularnewline
16 & 2828 & 2728.72842567869 & 99.2715743213057 \tabularnewline
17 & 2687 & 2639.26142343894 & 47.738576561057 \tabularnewline
18 & 2629 & 2618.41196055895 & 10.5880394410538 \tabularnewline
19 & 3150 & 2809.57754848236 & 340.422451517636 \tabularnewline
20 & 4119 & 3751.37802201576 & 367.621977984239 \tabularnewline
21 & 3030 & 2757.36342998386 & 272.636570016143 \tabularnewline
22 & 3055 & 3592.02985353973 & -537.029853539726 \tabularnewline
23 & 3821 & 4348.72438939199 & -527.724389391993 \tabularnewline
24 & 4001 & 4209.73397170188 & -208.733971701879 \tabularnewline
25 & 2529 & 2364.00438489807 & 164.995615101928 \tabularnewline
26 & 2472 & 2726.60613803078 & -254.606138030775 \tabularnewline
27 & 3134 & 3192.82141403267 & -58.8214140326686 \tabularnewline
28 & 2789 & 3053.95490779798 & -264.954907797978 \tabularnewline
29 & 2758 & 2898.66056445638 & -140.660564456383 \tabularnewline
30 & 2993 & 2836.61998289932 & 156.380017100676 \tabularnewline
31 & 3282 & 3143.07735942779 & 138.922640572210 \tabularnewline
32 & 3437 & 4061.68363251219 & -624.683632512194 \tabularnewline
33 & 2804 & 2901.54715194120 & -97.5471519411958 \tabularnewline
34 & 3076 & 3421.16186449278 & -345.161864492782 \tabularnewline
35 & 3782 & 4188.39764373804 & -406.397643738035 \tabularnewline
36 & 3889 & 4148.6473556987 & -259.647355698698 \tabularnewline
37 & 2271 & 2397.63668945409 & -126.636689454093 \tabularnewline
38 & 2452 & 2576.07782070433 & -124.077820704326 \tabularnewline
39 & 3084 & 3102.66072416236 & -18.6607241623569 \tabularnewline
40 & 2522 & 2888.21071493319 & -366.210714933193 \tabularnewline
41 & 2769 & 2742.05805079658 & 26.9419492034181 \tabularnewline
42 & 3438 & 2777.29567812917 & 660.704321870835 \tabularnewline
43 & 2839 & 3128.39002998256 & -289.390029982563 \tabularnewline
44 & 3746 & 3741.33435553267 & 4.66564446733264 \tabularnewline
45 & 2632 & 2812.33817008831 & -180.338170088309 \tabularnewline
46 & 2851 & 3233.6632711899 & -382.663271189899 \tabularnewline
47 & 3871 & 3965.92325211251 & -94.9232521125068 \tabularnewline
48 & 3618 & 4001.26755773092 & -383.267557730925 \tabularnewline
49 & 2389 & 2266.63298796773 & 122.367012032265 \tabularnewline
50 & 2344 & 2468.55887358033 & -124.558873580335 \tabularnewline
51 & 2678 & 3019.98345992279 & -341.983459922785 \tabularnewline
52 & 2492 & 2647.14131476486 & -155.141314764858 \tabularnewline
53 & 2858 & 2640.56559660929 & 217.434403390708 \tabularnewline
54 & 2246 & 2889.24630185622 & -643.246301856221 \tabularnewline
55 & 2800 & 2766.80294256553 & 33.197057434465 \tabularnewline
56 & 3869 & 3496.06223569706 & 372.937764302944 \tabularnewline
57 & 3007 & 2542.66942181805 & 464.330578181948 \tabularnewline
58 & 3023 & 2973.16342116909 & 49.836578830907 \tabularnewline
59 & 3907 & 3844.45490927291 & 62.5450907270874 \tabularnewline
60 & 4209 & 3806.85276087344 & 402.147239126561 \tabularnewline
61 & 2353 & 2329.76993975746 & 23.2300602425412 \tabularnewline
62 & 2570 & 2445.40734636475 & 124.592653635254 \tabularnewline
63 & 2903 & 2964.46944013528 & -61.4694401352804 \tabularnewline
64 & 2910 & 2691.17247120066 & 218.827528799345 \tabularnewline
65 & 3782 & 2856.3558652183 & 925.6441347817 \tabularnewline
66 & 2759 & 2939.33394152907 & -180.333941529074 \tabularnewline
67 & 2931 & 3103.25602286572 & -172.256022865717 \tabularnewline
68 & 3641 & 3930.28742127508 & -289.287421275078 \tabularnewline
69 & 2794 & 2936.06607224404 & -142.066072244042 \tabularnewline
70 & 3070 & 3170.37978328149 & -100.379783281490 \tabularnewline
71 & 3576 & 4033.43280332002 & -457.43280332002 \tabularnewline
72 & 4106 & 4039.91085191032 & 66.0891480896753 \tabularnewline
73 & 2452 & 2403.18031074916 & 48.8196892508377 \tabularnewline
74 & 2206 & 2553.37776636195 & -347.377766361951 \tabularnewline
75 & 2488 & 2952.68776171025 & -464.687761710252 \tabularnewline
76 & 2416 & 2710.19276812224 & -294.192768122236 \tabularnewline
77 & 2534 & 3021.52894889665 & -487.528948896653 \tabularnewline
78 & 2521 & 2564.60006345212 & -43.6000634521229 \tabularnewline
79 & 3093 & 2727.10156545076 & 365.898434549241 \tabularnewline
80 & 3903 & 3567.25938612931 & 335.740613870687 \tabularnewline
81 & 2907 & 2683.95986759605 & 223.040132403946 \tabularnewline
82 & 3025 & 2967.20360676387 & 57.7963932361326 \tabularnewline
83 & 3812 & 3730.80894968606 & 81.1910503139356 \tabularnewline
84 & 4209 & 3962.97097359688 & 246.029026403124 \tabularnewline
85 & 2138 & 2340.82685647277 & -202.826856472768 \tabularnewline
86 & 2419 & 2332.61826815687 & 86.3817318431288 \tabularnewline
87 & 2622 & 2747.97188081392 & -125.971880813917 \tabularnewline
88 & 2912 & 2602.07444211761 & 309.925557882394 \tabularnewline
89 & 2708 & 2934.00939929065 & -226.009399290653 \tabularnewline
90 & 2798 & 2656.02354718919 & 141.976452810813 \tabularnewline
91 & 3254 & 2978.84576534434 & 275.154234655663 \tabularnewline
92 & 2895 & 3807.75159723942 & -912.75159723942 \tabularnewline
93 & 3263 & 2735.52955902784 & 527.470440972156 \tabularnewline
94 & 3736 & 3006.73767993719 & 729.262320062809 \tabularnewline
95 & 4077 & 3867.35558805113 & 209.644411948873 \tabularnewline
96 & 4097 & 4174.81628681047 & -77.8162868104691 \tabularnewline
97 & 2175 & 2378.77072385198 & -203.770723851980 \tabularnewline
98 & 3138 & 2466.17178583668 & 671.828214163319 \tabularnewline
99 & 2823 & 2897.56192835713 & -74.56192835713 \tabularnewline
100 & 2498 & 2904.30945959739 & -406.309459597394 \tabularnewline
101 & 2822 & 2986.37158164533 & -164.37158164533 \tabularnewline
102 & 2738 & 2836.08158976521 & -98.0815897652083 \tabularnewline
103 & 4137 & 3174.54113837325 & 962.458861626747 \tabularnewline
104 & 3515 & 3727.02293230079 & -212.022932300790 \tabularnewline
105 & 3785 & 3203.81346887837 & 581.186531121627 \tabularnewline
106 & 3632 & 3559.28067299368 & 72.7193270063226 \tabularnewline
107 & 4504 & 4187.13434804106 & 316.865651958936 \tabularnewline
108 & 4451 & 4428.83762954531 & 22.1623704546910 \tabularnewline
109 & 2550 & 2617.20838351865 & -67.2083835186463 \tabularnewline
110 & 2867 & 3006.45119889580 & -139.451198895796 \tabularnewline
111 & 3458 & 3111.82800207176 & 346.171997928244 \tabularnewline
112 & 2961 & 3076.37637597602 & -115.376375976025 \tabularnewline
113 & 3163 & 3281.17142891415 & -118.171428914148 \tabularnewline
114 & 2880 & 3169.19245135751 & -289.192451357508 \tabularnewline
115 & 3331 & 3824.91286352036 & -493.912863520358 \tabularnewline
116 & 3062 & 3831.90335835759 & -769.903358357587 \tabularnewline
117 & 3534 & 3482.05671602383 & 51.9432839761744 \tabularnewline
118 & 3622 & 3604.98847283266 & 17.0115271673412 \tabularnewline
119 & 4464 & 4292.4418484161 & 171.558151583899 \tabularnewline
120 & 5411 & 4413.81564891984 & 997.184351080162 \tabularnewline
121 & 2564 & 2691.04947042788 & -127.049470427883 \tabularnewline
122 & 2820 & 3046.81419779610 & -226.814197796104 \tabularnewline
123 & 3508 & 3288.36791028975 & 219.632089710246 \tabularnewline
124 & 3088 & 3088.36034768323 & -0.360347683228156 \tabularnewline
125 & 3299 & 3302.03285500293 & -3.03285500292941 \tabularnewline
126 & 2939 & 3147.45257798524 & -208.452577985241 \tabularnewline
127 & 3320 & 3746.47360320174 & -426.473603201739 \tabularnewline
128 & 3418 & 3673.45823051455 & -255.458230514551 \tabularnewline
129 & 3604 & 3644.38533326350 & -40.3853332634958 \tabularnewline
130 & 3495 & 3745.99717247956 & -250.997172479556 \tabularnewline
131 & 4163 & 4447.46493076533 & -284.464930765332 \tabularnewline
132 & 4882 & 4765.18339065509 & 116.816609344907 \tabularnewline
133 & 2211 & 2572.62900626506 & -361.629006265062 \tabularnewline
134 & 3260 & 2855.18544957032 & 404.814550429679 \tabularnewline
135 & 2992 & 3304.97692607819 & -312.97692607819 \tabularnewline
136 & 2425 & 2958.45309332827 & -533.453093328269 \tabularnewline
137 & 2707 & 3089.10059535481 & -382.100595354811 \tabularnewline
138 & 3244 & 2804.36593210832 & 439.634067891679 \tabularnewline
139 & 3965 & 3400.58228740883 & 564.417712591167 \tabularnewline
140 & 3315 & 3495.70243563438 & -180.702435634384 \tabularnewline
141 & 3333 & 3536.44455974871 & -203.444559748712 \tabularnewline
142 & 3583 & 3544.82375321426 & 38.1762467857429 \tabularnewline
143 & 4021 & 4266.04603436235 & -245.046034362346 \tabularnewline
144 & 4904 & 4708.49844443965 & 195.501555560354 \tabularnewline
145 & 2252 & 2372.17554589575 & -120.175545895752 \tabularnewline
146 & 2952 & 2920.48320640357 & 31.5167935964296 \tabularnewline
147 & 3573 & 3095.39678166789 & 477.603218332115 \tabularnewline
148 & 3048 & 2778.03554126245 & 269.964458737551 \tabularnewline
149 & 3059 & 3061.41680034781 & -2.41680034781075 \tabularnewline
150 & 2731 & 3089.01212149424 & -358.012121494243 \tabularnewline
151 & 3563 & 3629.64534753971 & -66.6453475397057 \tabularnewline
152 & 3092 & 3413.90371013267 & -321.903710132667 \tabularnewline
153 & 3478 & 3427.85033990152 & 50.1496600984797 \tabularnewline
154 & 3478 & 3542.24466528959 & -64.2446652895878 \tabularnewline
155 & 4308 & 4161.49633424889 & 146.503665751109 \tabularnewline
156 & 5029 & 4791.10060577057 & 237.899394229431 \tabularnewline
157 & 2075 & 2363.85710834031 & -288.857108340314 \tabularnewline
158 & 3264 & 2939.52692001224 & 324.473079987761 \tabularnewline
159 & 3308 & 3292.48557788780 & 15.514422112195 \tabularnewline
160 & 3688 & 2853.2199254804 & 834.780074519599 \tabularnewline
161 & 3136 & 3125.13594752314 & 10.8640524768607 \tabularnewline
162 & 2824 & 3047.6584912207 & -223.6584912207 \tabularnewline
163 & 3644 & 3700.59738569295 & -56.5973856929468 \tabularnewline
164 & 4694 & 3411.74549664248 & 1282.25450335752 \tabularnewline
165 & 2914 & 3756.27703309174 & -842.277033091744 \tabularnewline
166 & 3686 & 3735.98764230341 & -49.9876423034134 \tabularnewline
167 & 4358 & 4433.36712797424 & -75.3671279742439 \tabularnewline
168 & 5587 & 5073.19288437053 & 513.807115629471 \tabularnewline
169 & 2265 & 2527.00768169796 & -262.007681697959 \tabularnewline
170 & 3685 & 3308.33804125099 & 376.661958749015 \tabularnewline
171 & 3754 & 3583.28479624520 & 170.715203754796 \tabularnewline
172 & 3708 & 3431.18647571931 & 276.813524280691 \tabularnewline
173 & 3210 & 3386.62118186770 & -176.621181867704 \tabularnewline
174 & 3517 & 3220.2860031215 & 296.713996878497 \tabularnewline
175 & 3905 & 4000.45244280169 & -95.4524428016935 \tabularnewline
176 & 3670 & 4134.66680512631 & -464.66680512631 \tabularnewline
177 & 4221 & 3600.3359147728 & 620.664085227198 \tabularnewline
178 & 4404 & 4015.33478510540 & 388.665214894605 \tabularnewline
179 & 5086 & 4770.86756869772 & 315.132431302284 \tabularnewline
180 & 5725 & 5657.31086873862 & 67.6891312613761 \tabularnewline
181 & 2367 & 2826.40991027566 & -459.409910275665 \tabularnewline
182 & 3819 & 3792.5275941798 & 26.4724058202037 \tabularnewline
183 & 4067 & 3967.76905004861 & 99.230949951395 \tabularnewline
184 & 4022 & 3846.84062861367 & 175.15937138633 \tabularnewline
185 & 3937 & 3654.71835916725 & 282.281640832750 \tabularnewline
186 & 4365 & 3701.86648290655 & 663.133517093449 \tabularnewline
187 & 4290 & 4417.47188522259 & -127.471885222589 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41489&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]2331.8340299847[/C][C]102.165970015300[/C][/ROW]
[ROW][C]15[/C][C]2956[/C][C]2837.70791816454[/C][C]118.292081835465[/C][/ROW]
[ROW][C]16[/C][C]2828[/C][C]2728.72842567869[/C][C]99.2715743213057[/C][/ROW]
[ROW][C]17[/C][C]2687[/C][C]2639.26142343894[/C][C]47.738576561057[/C][/ROW]
[ROW][C]18[/C][C]2629[/C][C]2618.41196055895[/C][C]10.5880394410538[/C][/ROW]
[ROW][C]19[/C][C]3150[/C][C]2809.57754848236[/C][C]340.422451517636[/C][/ROW]
[ROW][C]20[/C][C]4119[/C][C]3751.37802201576[/C][C]367.621977984239[/C][/ROW]
[ROW][C]21[/C][C]3030[/C][C]2757.36342998386[/C][C]272.636570016143[/C][/ROW]
[ROW][C]22[/C][C]3055[/C][C]3592.02985353973[/C][C]-537.029853539726[/C][/ROW]
[ROW][C]23[/C][C]3821[/C][C]4348.72438939199[/C][C]-527.724389391993[/C][/ROW]
[ROW][C]24[/C][C]4001[/C][C]4209.73397170188[/C][C]-208.733971701879[/C][/ROW]
[ROW][C]25[/C][C]2529[/C][C]2364.00438489807[/C][C]164.995615101928[/C][/ROW]
[ROW][C]26[/C][C]2472[/C][C]2726.60613803078[/C][C]-254.606138030775[/C][/ROW]
[ROW][C]27[/C][C]3134[/C][C]3192.82141403267[/C][C]-58.8214140326686[/C][/ROW]
[ROW][C]28[/C][C]2789[/C][C]3053.95490779798[/C][C]-264.954907797978[/C][/ROW]
[ROW][C]29[/C][C]2758[/C][C]2898.66056445638[/C][C]-140.660564456383[/C][/ROW]
[ROW][C]30[/C][C]2993[/C][C]2836.61998289932[/C][C]156.380017100676[/C][/ROW]
[ROW][C]31[/C][C]3282[/C][C]3143.07735942779[/C][C]138.922640572210[/C][/ROW]
[ROW][C]32[/C][C]3437[/C][C]4061.68363251219[/C][C]-624.683632512194[/C][/ROW]
[ROW][C]33[/C][C]2804[/C][C]2901.54715194120[/C][C]-97.5471519411958[/C][/ROW]
[ROW][C]34[/C][C]3076[/C][C]3421.16186449278[/C][C]-345.161864492782[/C][/ROW]
[ROW][C]35[/C][C]3782[/C][C]4188.39764373804[/C][C]-406.397643738035[/C][/ROW]
[ROW][C]36[/C][C]3889[/C][C]4148.6473556987[/C][C]-259.647355698698[/C][/ROW]
[ROW][C]37[/C][C]2271[/C][C]2397.63668945409[/C][C]-126.636689454093[/C][/ROW]
[ROW][C]38[/C][C]2452[/C][C]2576.07782070433[/C][C]-124.077820704326[/C][/ROW]
[ROW][C]39[/C][C]3084[/C][C]3102.66072416236[/C][C]-18.6607241623569[/C][/ROW]
[ROW][C]40[/C][C]2522[/C][C]2888.21071493319[/C][C]-366.210714933193[/C][/ROW]
[ROW][C]41[/C][C]2769[/C][C]2742.05805079658[/C][C]26.9419492034181[/C][/ROW]
[ROW][C]42[/C][C]3438[/C][C]2777.29567812917[/C][C]660.704321870835[/C][/ROW]
[ROW][C]43[/C][C]2839[/C][C]3128.39002998256[/C][C]-289.390029982563[/C][/ROW]
[ROW][C]44[/C][C]3746[/C][C]3741.33435553267[/C][C]4.66564446733264[/C][/ROW]
[ROW][C]45[/C][C]2632[/C][C]2812.33817008831[/C][C]-180.338170088309[/C][/ROW]
[ROW][C]46[/C][C]2851[/C][C]3233.6632711899[/C][C]-382.663271189899[/C][/ROW]
[ROW][C]47[/C][C]3871[/C][C]3965.92325211251[/C][C]-94.9232521125068[/C][/ROW]
[ROW][C]48[/C][C]3618[/C][C]4001.26755773092[/C][C]-383.267557730925[/C][/ROW]
[ROW][C]49[/C][C]2389[/C][C]2266.63298796773[/C][C]122.367012032265[/C][/ROW]
[ROW][C]50[/C][C]2344[/C][C]2468.55887358033[/C][C]-124.558873580335[/C][/ROW]
[ROW][C]51[/C][C]2678[/C][C]3019.98345992279[/C][C]-341.983459922785[/C][/ROW]
[ROW][C]52[/C][C]2492[/C][C]2647.14131476486[/C][C]-155.141314764858[/C][/ROW]
[ROW][C]53[/C][C]2858[/C][C]2640.56559660929[/C][C]217.434403390708[/C][/ROW]
[ROW][C]54[/C][C]2246[/C][C]2889.24630185622[/C][C]-643.246301856221[/C][/ROW]
[ROW][C]55[/C][C]2800[/C][C]2766.80294256553[/C][C]33.197057434465[/C][/ROW]
[ROW][C]56[/C][C]3869[/C][C]3496.06223569706[/C][C]372.937764302944[/C][/ROW]
[ROW][C]57[/C][C]3007[/C][C]2542.66942181805[/C][C]464.330578181948[/C][/ROW]
[ROW][C]58[/C][C]3023[/C][C]2973.16342116909[/C][C]49.836578830907[/C][/ROW]
[ROW][C]59[/C][C]3907[/C][C]3844.45490927291[/C][C]62.5450907270874[/C][/ROW]
[ROW][C]60[/C][C]4209[/C][C]3806.85276087344[/C][C]402.147239126561[/C][/ROW]
[ROW][C]61[/C][C]2353[/C][C]2329.76993975746[/C][C]23.2300602425412[/C][/ROW]
[ROW][C]62[/C][C]2570[/C][C]2445.40734636475[/C][C]124.592653635254[/C][/ROW]
[ROW][C]63[/C][C]2903[/C][C]2964.46944013528[/C][C]-61.4694401352804[/C][/ROW]
[ROW][C]64[/C][C]2910[/C][C]2691.17247120066[/C][C]218.827528799345[/C][/ROW]
[ROW][C]65[/C][C]3782[/C][C]2856.3558652183[/C][C]925.6441347817[/C][/ROW]
[ROW][C]66[/C][C]2759[/C][C]2939.33394152907[/C][C]-180.333941529074[/C][/ROW]
[ROW][C]67[/C][C]2931[/C][C]3103.25602286572[/C][C]-172.256022865717[/C][/ROW]
[ROW][C]68[/C][C]3641[/C][C]3930.28742127508[/C][C]-289.287421275078[/C][/ROW]
[ROW][C]69[/C][C]2794[/C][C]2936.06607224404[/C][C]-142.066072244042[/C][/ROW]
[ROW][C]70[/C][C]3070[/C][C]3170.37978328149[/C][C]-100.379783281490[/C][/ROW]
[ROW][C]71[/C][C]3576[/C][C]4033.43280332002[/C][C]-457.43280332002[/C][/ROW]
[ROW][C]72[/C][C]4106[/C][C]4039.91085191032[/C][C]66.0891480896753[/C][/ROW]
[ROW][C]73[/C][C]2452[/C][C]2403.18031074916[/C][C]48.8196892508377[/C][/ROW]
[ROW][C]74[/C][C]2206[/C][C]2553.37776636195[/C][C]-347.377766361951[/C][/ROW]
[ROW][C]75[/C][C]2488[/C][C]2952.68776171025[/C][C]-464.687761710252[/C][/ROW]
[ROW][C]76[/C][C]2416[/C][C]2710.19276812224[/C][C]-294.192768122236[/C][/ROW]
[ROW][C]77[/C][C]2534[/C][C]3021.52894889665[/C][C]-487.528948896653[/C][/ROW]
[ROW][C]78[/C][C]2521[/C][C]2564.60006345212[/C][C]-43.6000634521229[/C][/ROW]
[ROW][C]79[/C][C]3093[/C][C]2727.10156545076[/C][C]365.898434549241[/C][/ROW]
[ROW][C]80[/C][C]3903[/C][C]3567.25938612931[/C][C]335.740613870687[/C][/ROW]
[ROW][C]81[/C][C]2907[/C][C]2683.95986759605[/C][C]223.040132403946[/C][/ROW]
[ROW][C]82[/C][C]3025[/C][C]2967.20360676387[/C][C]57.7963932361326[/C][/ROW]
[ROW][C]83[/C][C]3812[/C][C]3730.80894968606[/C][C]81.1910503139356[/C][/ROW]
[ROW][C]84[/C][C]4209[/C][C]3962.97097359688[/C][C]246.029026403124[/C][/ROW]
[ROW][C]85[/C][C]2138[/C][C]2340.82685647277[/C][C]-202.826856472768[/C][/ROW]
[ROW][C]86[/C][C]2419[/C][C]2332.61826815687[/C][C]86.3817318431288[/C][/ROW]
[ROW][C]87[/C][C]2622[/C][C]2747.97188081392[/C][C]-125.971880813917[/C][/ROW]
[ROW][C]88[/C][C]2912[/C][C]2602.07444211761[/C][C]309.925557882394[/C][/ROW]
[ROW][C]89[/C][C]2708[/C][C]2934.00939929065[/C][C]-226.009399290653[/C][/ROW]
[ROW][C]90[/C][C]2798[/C][C]2656.02354718919[/C][C]141.976452810813[/C][/ROW]
[ROW][C]91[/C][C]3254[/C][C]2978.84576534434[/C][C]275.154234655663[/C][/ROW]
[ROW][C]92[/C][C]2895[/C][C]3807.75159723942[/C][C]-912.75159723942[/C][/ROW]
[ROW][C]93[/C][C]3263[/C][C]2735.52955902784[/C][C]527.470440972156[/C][/ROW]
[ROW][C]94[/C][C]3736[/C][C]3006.73767993719[/C][C]729.262320062809[/C][/ROW]
[ROW][C]95[/C][C]4077[/C][C]3867.35558805113[/C][C]209.644411948873[/C][/ROW]
[ROW][C]96[/C][C]4097[/C][C]4174.81628681047[/C][C]-77.8162868104691[/C][/ROW]
[ROW][C]97[/C][C]2175[/C][C]2378.77072385198[/C][C]-203.770723851980[/C][/ROW]
[ROW][C]98[/C][C]3138[/C][C]2466.17178583668[/C][C]671.828214163319[/C][/ROW]
[ROW][C]99[/C][C]2823[/C][C]2897.56192835713[/C][C]-74.56192835713[/C][/ROW]
[ROW][C]100[/C][C]2498[/C][C]2904.30945959739[/C][C]-406.309459597394[/C][/ROW]
[ROW][C]101[/C][C]2822[/C][C]2986.37158164533[/C][C]-164.37158164533[/C][/ROW]
[ROW][C]102[/C][C]2738[/C][C]2836.08158976521[/C][C]-98.0815897652083[/C][/ROW]
[ROW][C]103[/C][C]4137[/C][C]3174.54113837325[/C][C]962.458861626747[/C][/ROW]
[ROW][C]104[/C][C]3515[/C][C]3727.02293230079[/C][C]-212.022932300790[/C][/ROW]
[ROW][C]105[/C][C]3785[/C][C]3203.81346887837[/C][C]581.186531121627[/C][/ROW]
[ROW][C]106[/C][C]3632[/C][C]3559.28067299368[/C][C]72.7193270063226[/C][/ROW]
[ROW][C]107[/C][C]4504[/C][C]4187.13434804106[/C][C]316.865651958936[/C][/ROW]
[ROW][C]108[/C][C]4451[/C][C]4428.83762954531[/C][C]22.1623704546910[/C][/ROW]
[ROW][C]109[/C][C]2550[/C][C]2617.20838351865[/C][C]-67.2083835186463[/C][/ROW]
[ROW][C]110[/C][C]2867[/C][C]3006.45119889580[/C][C]-139.451198895796[/C][/ROW]
[ROW][C]111[/C][C]3458[/C][C]3111.82800207176[/C][C]346.171997928244[/C][/ROW]
[ROW][C]112[/C][C]2961[/C][C]3076.37637597602[/C][C]-115.376375976025[/C][/ROW]
[ROW][C]113[/C][C]3163[/C][C]3281.17142891415[/C][C]-118.171428914148[/C][/ROW]
[ROW][C]114[/C][C]2880[/C][C]3169.19245135751[/C][C]-289.192451357508[/C][/ROW]
[ROW][C]115[/C][C]3331[/C][C]3824.91286352036[/C][C]-493.912863520358[/C][/ROW]
[ROW][C]116[/C][C]3062[/C][C]3831.90335835759[/C][C]-769.903358357587[/C][/ROW]
[ROW][C]117[/C][C]3534[/C][C]3482.05671602383[/C][C]51.9432839761744[/C][/ROW]
[ROW][C]118[/C][C]3622[/C][C]3604.98847283266[/C][C]17.0115271673412[/C][/ROW]
[ROW][C]119[/C][C]4464[/C][C]4292.4418484161[/C][C]171.558151583899[/C][/ROW]
[ROW][C]120[/C][C]5411[/C][C]4413.81564891984[/C][C]997.184351080162[/C][/ROW]
[ROW][C]121[/C][C]2564[/C][C]2691.04947042788[/C][C]-127.049470427883[/C][/ROW]
[ROW][C]122[/C][C]2820[/C][C]3046.81419779610[/C][C]-226.814197796104[/C][/ROW]
[ROW][C]123[/C][C]3508[/C][C]3288.36791028975[/C][C]219.632089710246[/C][/ROW]
[ROW][C]124[/C][C]3088[/C][C]3088.36034768323[/C][C]-0.360347683228156[/C][/ROW]
[ROW][C]125[/C][C]3299[/C][C]3302.03285500293[/C][C]-3.03285500292941[/C][/ROW]
[ROW][C]126[/C][C]2939[/C][C]3147.45257798524[/C][C]-208.452577985241[/C][/ROW]
[ROW][C]127[/C][C]3320[/C][C]3746.47360320174[/C][C]-426.473603201739[/C][/ROW]
[ROW][C]128[/C][C]3418[/C][C]3673.45823051455[/C][C]-255.458230514551[/C][/ROW]
[ROW][C]129[/C][C]3604[/C][C]3644.38533326350[/C][C]-40.3853332634958[/C][/ROW]
[ROW][C]130[/C][C]3495[/C][C]3745.99717247956[/C][C]-250.997172479556[/C][/ROW]
[ROW][C]131[/C][C]4163[/C][C]4447.46493076533[/C][C]-284.464930765332[/C][/ROW]
[ROW][C]132[/C][C]4882[/C][C]4765.18339065509[/C][C]116.816609344907[/C][/ROW]
[ROW][C]133[/C][C]2211[/C][C]2572.62900626506[/C][C]-361.629006265062[/C][/ROW]
[ROW][C]134[/C][C]3260[/C][C]2855.18544957032[/C][C]404.814550429679[/C][/ROW]
[ROW][C]135[/C][C]2992[/C][C]3304.97692607819[/C][C]-312.97692607819[/C][/ROW]
[ROW][C]136[/C][C]2425[/C][C]2958.45309332827[/C][C]-533.453093328269[/C][/ROW]
[ROW][C]137[/C][C]2707[/C][C]3089.10059535481[/C][C]-382.100595354811[/C][/ROW]
[ROW][C]138[/C][C]3244[/C][C]2804.36593210832[/C][C]439.634067891679[/C][/ROW]
[ROW][C]139[/C][C]3965[/C][C]3400.58228740883[/C][C]564.417712591167[/C][/ROW]
[ROW][C]140[/C][C]3315[/C][C]3495.70243563438[/C][C]-180.702435634384[/C][/ROW]
[ROW][C]141[/C][C]3333[/C][C]3536.44455974871[/C][C]-203.444559748712[/C][/ROW]
[ROW][C]142[/C][C]3583[/C][C]3544.82375321426[/C][C]38.1762467857429[/C][/ROW]
[ROW][C]143[/C][C]4021[/C][C]4266.04603436235[/C][C]-245.046034362346[/C][/ROW]
[ROW][C]144[/C][C]4904[/C][C]4708.49844443965[/C][C]195.501555560354[/C][/ROW]
[ROW][C]145[/C][C]2252[/C][C]2372.17554589575[/C][C]-120.175545895752[/C][/ROW]
[ROW][C]146[/C][C]2952[/C][C]2920.48320640357[/C][C]31.5167935964296[/C][/ROW]
[ROW][C]147[/C][C]3573[/C][C]3095.39678166789[/C][C]477.603218332115[/C][/ROW]
[ROW][C]148[/C][C]3048[/C][C]2778.03554126245[/C][C]269.964458737551[/C][/ROW]
[ROW][C]149[/C][C]3059[/C][C]3061.41680034781[/C][C]-2.41680034781075[/C][/ROW]
[ROW][C]150[/C][C]2731[/C][C]3089.01212149424[/C][C]-358.012121494243[/C][/ROW]
[ROW][C]151[/C][C]3563[/C][C]3629.64534753971[/C][C]-66.6453475397057[/C][/ROW]
[ROW][C]152[/C][C]3092[/C][C]3413.90371013267[/C][C]-321.903710132667[/C][/ROW]
[ROW][C]153[/C][C]3478[/C][C]3427.85033990152[/C][C]50.1496600984797[/C][/ROW]
[ROW][C]154[/C][C]3478[/C][C]3542.24466528959[/C][C]-64.2446652895878[/C][/ROW]
[ROW][C]155[/C][C]4308[/C][C]4161.49633424889[/C][C]146.503665751109[/C][/ROW]
[ROW][C]156[/C][C]5029[/C][C]4791.10060577057[/C][C]237.899394229431[/C][/ROW]
[ROW][C]157[/C][C]2075[/C][C]2363.85710834031[/C][C]-288.857108340314[/C][/ROW]
[ROW][C]158[/C][C]3264[/C][C]2939.52692001224[/C][C]324.473079987761[/C][/ROW]
[ROW][C]159[/C][C]3308[/C][C]3292.48557788780[/C][C]15.514422112195[/C][/ROW]
[ROW][C]160[/C][C]3688[/C][C]2853.2199254804[/C][C]834.780074519599[/C][/ROW]
[ROW][C]161[/C][C]3136[/C][C]3125.13594752314[/C][C]10.8640524768607[/C][/ROW]
[ROW][C]162[/C][C]2824[/C][C]3047.6584912207[/C][C]-223.6584912207[/C][/ROW]
[ROW][C]163[/C][C]3644[/C][C]3700.59738569295[/C][C]-56.5973856929468[/C][/ROW]
[ROW][C]164[/C][C]4694[/C][C]3411.74549664248[/C][C]1282.25450335752[/C][/ROW]
[ROW][C]165[/C][C]2914[/C][C]3756.27703309174[/C][C]-842.277033091744[/C][/ROW]
[ROW][C]166[/C][C]3686[/C][C]3735.98764230341[/C][C]-49.9876423034134[/C][/ROW]
[ROW][C]167[/C][C]4358[/C][C]4433.36712797424[/C][C]-75.3671279742439[/C][/ROW]
[ROW][C]168[/C][C]5587[/C][C]5073.19288437053[/C][C]513.807115629471[/C][/ROW]
[ROW][C]169[/C][C]2265[/C][C]2527.00768169796[/C][C]-262.007681697959[/C][/ROW]
[ROW][C]170[/C][C]3685[/C][C]3308.33804125099[/C][C]376.661958749015[/C][/ROW]
[ROW][C]171[/C][C]3754[/C][C]3583.28479624520[/C][C]170.715203754796[/C][/ROW]
[ROW][C]172[/C][C]3708[/C][C]3431.18647571931[/C][C]276.813524280691[/C][/ROW]
[ROW][C]173[/C][C]3210[/C][C]3386.62118186770[/C][C]-176.621181867704[/C][/ROW]
[ROW][C]174[/C][C]3517[/C][C]3220.2860031215[/C][C]296.713996878497[/C][/ROW]
[ROW][C]175[/C][C]3905[/C][C]4000.45244280169[/C][C]-95.4524428016935[/C][/ROW]
[ROW][C]176[/C][C]3670[/C][C]4134.66680512631[/C][C]-464.66680512631[/C][/ROW]
[ROW][C]177[/C][C]4221[/C][C]3600.3359147728[/C][C]620.664085227198[/C][/ROW]
[ROW][C]178[/C][C]4404[/C][C]4015.33478510540[/C][C]388.665214894605[/C][/ROW]
[ROW][C]179[/C][C]5086[/C][C]4770.86756869772[/C][C]315.132431302284[/C][/ROW]
[ROW][C]180[/C][C]5725[/C][C]5657.31086873862[/C][C]67.6891312613761[/C][/ROW]
[ROW][C]181[/C][C]2367[/C][C]2826.40991027566[/C][C]-459.409910275665[/C][/ROW]
[ROW][C]182[/C][C]3819[/C][C]3792.5275941798[/C][C]26.4724058202037[/C][/ROW]
[ROW][C]183[/C][C]4067[/C][C]3967.76905004861[/C][C]99.230949951395[/C][/ROW]
[ROW][C]184[/C][C]4022[/C][C]3846.84062861367[/C][C]175.15937138633[/C][/ROW]
[ROW][C]185[/C][C]3937[/C][C]3654.71835916725[/C][C]282.281640832750[/C][/ROW]
[ROW][C]186[/C][C]4365[/C][C]3701.86648290655[/C][C]663.133517093449[/C][/ROW]
[ROW][C]187[/C][C]4290[/C][C]4417.47188522259[/C][C]-127.471885222589[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41489&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41489&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
1424342331.8340299847102.165970015300
1529562837.70791816454118.292081835465
1628282728.7284256786999.2715743213057
1726872639.2614234389447.738576561057
1826292618.4119605589510.5880394410538
1931502809.57754848236340.422451517636
2041193751.37802201576367.621977984239
2130302757.36342998386272.636570016143
2230553592.02985353973-537.029853539726
2338214348.72438939199-527.724389391993
2440014209.73397170188-208.733971701879
2525292364.00438489807164.995615101928
2624722726.60613803078-254.606138030775
2731343192.82141403267-58.8214140326686
2827893053.95490779798-264.954907797978
2927582898.66056445638-140.660564456383
3029932836.61998289932156.380017100676
3132823143.07735942779138.922640572210
3234374061.68363251219-624.683632512194
3328042901.54715194120-97.5471519411958
3430763421.16186449278-345.161864492782
3537824188.39764373804-406.397643738035
3638894148.6473556987-259.647355698698
3722712397.63668945409-126.636689454093
3824522576.07782070433-124.077820704326
3930843102.66072416236-18.6607241623569
4025222888.21071493319-366.210714933193
4127692742.0580507965826.9419492034181
4234382777.29567812917660.704321870835
4328393128.39002998256-289.390029982563
4437463741.334355532674.66564446733264
4526322812.33817008831-180.338170088309
4628513233.6632711899-382.663271189899
4738713965.92325211251-94.9232521125068
4836184001.26755773092-383.267557730925
4923892266.63298796773122.367012032265
5023442468.55887358033-124.558873580335
5126783019.98345992279-341.983459922785
5224922647.14131476486-155.141314764858
5328582640.56559660929217.434403390708
5422462889.24630185622-643.246301856221
5528002766.8029425655333.197057434465
5638693496.06223569706372.937764302944
5730072542.66942181805464.330578181948
5830232973.1634211690949.836578830907
5939073844.4549092729162.5450907270874
6042093806.85276087344402.147239126561
6123532329.7699397574623.2300602425412
6225702445.40734636475124.592653635254
6329032964.46944013528-61.4694401352804
6429102691.17247120066218.827528799345
6537822856.3558652183925.6441347817
6627592939.33394152907-180.333941529074
6729313103.25602286572-172.256022865717
6836413930.28742127508-289.287421275078
6927942936.06607224404-142.066072244042
7030703170.37978328149-100.379783281490
7135764033.43280332002-457.43280332002
7241064039.9108519103266.0891480896753
7324522403.1803107491648.8196892508377
7422062553.37776636195-347.377766361951
7524882952.68776171025-464.687761710252
7624162710.19276812224-294.192768122236
7725343021.52894889665-487.528948896653
7825212564.60006345212-43.6000634521229
7930932727.10156545076365.898434549241
8039033567.25938612931335.740613870687
8129072683.95986759605223.040132403946
8230252967.2036067638757.7963932361326
8338123730.8089496860681.1910503139356
8442093962.97097359688246.029026403124
8521382340.82685647277-202.826856472768
8624192332.6182681568786.3817318431288
8726222747.97188081392-125.971880813917
8829122602.07444211761309.925557882394
8927082934.00939929065-226.009399290653
9027982656.02354718919141.976452810813
9132542978.84576534434275.154234655663
9228953807.75159723942-912.75159723942
9332632735.52955902784527.470440972156
9437363006.73767993719729.262320062809
9540773867.35558805113209.644411948873
9640974174.81628681047-77.8162868104691
9721752378.77072385198-203.770723851980
9831382466.17178583668671.828214163319
9928232897.56192835713-74.56192835713
10024982904.30945959739-406.309459597394
10128222986.37158164533-164.37158164533
10227382836.08158976521-98.0815897652083
10341373174.54113837325962.458861626747
10435153727.02293230079-212.022932300790
10537853203.81346887837581.186531121627
10636323559.2806729936872.7193270063226
10745044187.13434804106316.865651958936
10844514428.8376295453122.1623704546910
10925502617.20838351865-67.2083835186463
11028673006.45119889580-139.451198895796
11134583111.82800207176346.171997928244
11229613076.37637597602-115.376375976025
11331633281.17142891415-118.171428914148
11428803169.19245135751-289.192451357508
11533313824.91286352036-493.912863520358
11630623831.90335835759-769.903358357587
11735343482.0567160238351.9432839761744
11836223604.9884728326617.0115271673412
11944644292.4418484161171.558151583899
12054114413.81564891984997.184351080162
12125642691.04947042788-127.049470427883
12228203046.81419779610-226.814197796104
12335083288.36791028975219.632089710246
12430883088.36034768323-0.360347683228156
12532993302.03285500293-3.03285500292941
12629393147.45257798524-208.452577985241
12733203746.47360320174-426.473603201739
12834183673.45823051455-255.458230514551
12936043644.38533326350-40.3853332634958
13034953745.99717247956-250.997172479556
13141634447.46493076533-284.464930765332
13248824765.18339065509116.816609344907
13322112572.62900626506-361.629006265062
13432602855.18544957032404.814550429679
13529923304.97692607819-312.97692607819
13624252958.45309332827-533.453093328269
13727073089.10059535481-382.100595354811
13832442804.36593210832439.634067891679
13939653400.58228740883564.417712591167
14033153495.70243563438-180.702435634384
14133333536.44455974871-203.444559748712
14235833544.8237532142638.1762467857429
14340214266.04603436235-245.046034362346
14449044708.49844443965195.501555560354
14522522372.17554589575-120.175545895752
14629522920.4832064035731.5167935964296
14735733095.39678166789477.603218332115
14830482778.03554126245269.964458737551
14930593061.41680034781-2.41680034781075
15027313089.01212149424-358.012121494243
15135633629.64534753971-66.6453475397057
15230923413.90371013267-321.903710132667
15334783427.8503399015250.1496600984797
15434783542.24466528959-64.2446652895878
15543084161.49633424889146.503665751109
15650294791.10060577057237.899394229431
15720752363.85710834031-288.857108340314
15832642939.52692001224324.473079987761
15933083292.4855778878015.514422112195
16036882853.2199254804834.780074519599
16131363125.1359475231410.8640524768607
16228243047.6584912207-223.6584912207
16336443700.59738569295-56.5973856929468
16446943411.745496642481282.25450335752
16529143756.27703309174-842.277033091744
16636863735.98764230341-49.9876423034134
16743584433.36712797424-75.3671279742439
16855875073.19288437053513.807115629471
16922652527.00768169796-262.007681697959
17036853308.33804125099376.661958749015
17137543583.28479624520170.715203754796
17237083431.18647571931276.813524280691
17332103386.62118186770-176.621181867704
17435173220.2860031215296.713996878497
17539054000.45244280169-95.4524428016935
17636704134.66680512631-464.66680512631
17742213600.3359147728620.664085227198
17844044015.33478510540388.665214894605
17950864770.86756869772315.132431302284
18057255657.3108687386267.6891312613761
18123672826.40991027566-459.409910275665
18238193792.527594179826.4724058202037
18340673967.7690500486199.230949951395
18440223846.84062861367175.15937138633
18539373654.71835916725282.281640832750
18643653701.86648290655663.133517093449
18742904417.47188522259-127.471885222589







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1884445.046049950193762.815064155285127.2770357451
1894321.651894448953633.622405865675009.68138303223
1904599.172234823653904.695532142785293.64893750451
1915292.085874864474590.491499093865993.68025063509
1926068.359621366045358.958099155296777.7611435768
1933070.101514265592352.187135465633788.01589306555
1944252.63869520393525.492296775984979.78509363182
1954455.724980408373718.616699348425192.83326146832
1964353.917533470773606.1094932735101.72557366854
1974179.942222044673420.691120238524939.19332385083
1984315.123773854113543.683342096235086.56420561198
1994702.04132932123917.664642154565486.41801648784

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 4445.04604995019 & 3762.81506415528 & 5127.2770357451 \tabularnewline
189 & 4321.65189444895 & 3633.62240586567 & 5009.68138303223 \tabularnewline
190 & 4599.17223482365 & 3904.69553214278 & 5293.64893750451 \tabularnewline
191 & 5292.08587486447 & 4590.49149909386 & 5993.68025063509 \tabularnewline
192 & 6068.35962136604 & 5358.95809915529 & 6777.7611435768 \tabularnewline
193 & 3070.10151426559 & 2352.18713546563 & 3788.01589306555 \tabularnewline
194 & 4252.6386952039 & 3525.49229677598 & 4979.78509363182 \tabularnewline
195 & 4455.72498040837 & 3718.61669934842 & 5192.83326146832 \tabularnewline
196 & 4353.91753347077 & 3606.109493273 & 5101.72557366854 \tabularnewline
197 & 4179.94222204467 & 3420.69112023852 & 4939.19332385083 \tabularnewline
198 & 4315.12377385411 & 3543.68334209623 & 5086.56420561198 \tabularnewline
199 & 4702.0413293212 & 3917.66464215456 & 5486.41801648784 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41489&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]4445.04604995019[/C][C]3762.81506415528[/C][C]5127.2770357451[/C][/ROW]
[ROW][C]189[/C][C]4321.65189444895[/C][C]3633.62240586567[/C][C]5009.68138303223[/C][/ROW]
[ROW][C]190[/C][C]4599.17223482365[/C][C]3904.69553214278[/C][C]5293.64893750451[/C][/ROW]
[ROW][C]191[/C][C]5292.08587486447[/C][C]4590.49149909386[/C][C]5993.68025063509[/C][/ROW]
[ROW][C]192[/C][C]6068.35962136604[/C][C]5358.95809915529[/C][C]6777.7611435768[/C][/ROW]
[ROW][C]193[/C][C]3070.10151426559[/C][C]2352.18713546563[/C][C]3788.01589306555[/C][/ROW]
[ROW][C]194[/C][C]4252.6386952039[/C][C]3525.49229677598[/C][C]4979.78509363182[/C][/ROW]
[ROW][C]195[/C][C]4455.72498040837[/C][C]3718.61669934842[/C][C]5192.83326146832[/C][/ROW]
[ROW][C]196[/C][C]4353.91753347077[/C][C]3606.109493273[/C][C]5101.72557366854[/C][/ROW]
[ROW][C]197[/C][C]4179.94222204467[/C][C]3420.69112023852[/C][C]4939.19332385083[/C][/ROW]
[ROW][C]198[/C][C]4315.12377385411[/C][C]3543.68334209623[/C][C]5086.56420561198[/C][/ROW]
[ROW][C]199[/C][C]4702.0413293212[/C][C]3917.66464215456[/C][C]5486.41801648784[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41489&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41489&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
1884445.046049950193762.815064155285127.2770357451
1894321.651894448953633.622405865675009.68138303223
1904599.172234823653904.695532142785293.64893750451
1915292.085874864474590.491499093865993.68025063509
1926068.359621366045358.958099155296777.7611435768
1933070.101514265592352.187135465633788.01589306555
1944252.63869520393525.492296775984979.78509363182
1954455.724980408373718.616699348425192.83326146832
1964353.917533470773606.1094932735101.72557366854
1974179.942222044673420.691120238524939.19332385083
1984315.123773854113543.683342096235086.56420561198
1994702.04132932123917.664642154565486.41801648784



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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')