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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 computationThu, 03 Jun 2010 12:36:19 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jun/03/t12755686999wwjcya5cs75h4f.htm/, Retrieved Sun, 05 May 2024 23:20:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77366, Retrieved Sun, 05 May 2024 23:20:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact187
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential smoot...] [2010-06-03 12:36:19] [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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77366&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77366&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77366&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.125193707172277
beta0.0321269389080147
gamma0.396056119292007

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.125193707172277 \tabularnewline
beta & 0.0321269389080147 \tabularnewline
gamma & 0.396056119292007 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77366&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]0.125193707172277[/C][/ROW]
[ROW][C]beta[/C][C]0.0321269389080147[/C][/ROW]
[ROW][C]gamma[/C][C]0.396056119292007[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77366&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77366&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
alpha0.125193707172277
beta0.0321269389080147
gamma0.396056119292007







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1320722006.6844025824865.3155974175247
1424342346.3928783654987.607121634514
1529562836.39858085195119.601419148053
1628282731.9136265194496.0863734805648
1726872640.2023347590046.797665241003
1826292614.5784151565614.4215848434351
1931502782.61972645414367.380273545858
2041193810.03975875582308.960241244179
2130302684.05701703421345.942982965794
2230553630.00274378242-575.002743782422
2338214467.44341770354-646.443417703535
2440014305.61930252181-304.61930252181
2525292281.31173021894247.688269781060
2624722696.56519508368-224.565195083681
2731343214.07376951865-80.073769518654
2827893060.17379420265-271.173794202645
2927582891.23054258321-133.230542583205
3029932824.7088875317168.291112468299
3132823153.18331542525128.816684574754
3234374192.97405227788-755.974052277884
3328042896.73829938057-92.7382993805713
3430763463.36294829674-387.362948296744
3537824299.54189011614-517.54189011614
3638894261.80826900495-372.808269004947
3722712390.40331232745-119.403312327445
3824522585.69124967042-133.691249670419
3930843150.80546676277-66.8054667627653
4025222925.53219914797-403.532199147966
4127692781.15196243472-12.1519624347188
4234382825.12146833713612.878531662873
4328393188.20831564264-349.208315642635
4437463830.04672401753-84.0467240175308
4526322845.84390966825-213.843909668252
4628513280.28633671994-429.286336719936
4738714040.14534565316-169.145345653155
4836184085.64321439013-467.643214390134
4923892309.9330464718179.0669535281886
5023442518.89393328109-174.893933281093
5126783089.89421314685-411.894213146855
5224922704.73420274229-212.734202742291
5328582713.21286269809144.787137301912
5422462978.05763015226-732.057630152264
5528002831.22238017626-31.2223801762616
5638693542.86747186579326.132528134206
5730072612.72235820797394.277641792029
5830233028.77128534522-5.7712853452158
5939073911.20909719863-4.20909719862857
6042093867.06883554976341.931164450237
6123532363.01615714814-10.0161571481431
6225702471.3043248828398.6956751171679
6329033001.04715244328-98.0471524432819
6429102715.17584035319194.824159646811
6537822908.34781678921873.652183210786
6627592951.50445293781-192.504452937806
6729313142.95957301546-211.959573015459
6836414051.84652003429-410.846520034286
6927942976.25565874145-182.255658741448
7030703195.6641803373-125.664180337298
7135764109.96752865424-533.967528654239
7241064120.10908941213-14.1090894121326
7324522411.0934346382540.9065653617513
7422062565.83325039367-359.833250393674
7524882967.17985017809-479.179850178092
7624162732.91512682599-316.915126825987
7725343063.25844701153-529.258447011527
7825212592.80590968855-71.8059096885477
7930932761.03069836954331.969301630463
8039033587.54827993655315.451720063454
8129072731.51055778802175.489442211976
8230252996.8188250263728.1811749736344
8338123745.1247570911166.8752429088913
8442093998.77225601464210.227743985358
8521382370.78136571911-232.781365719107
8624192346.4911156105572.5088843894537
8726222748.24707257249-126.247072572492
8829122612.28682428414299.713175715859
8927082951.40556406562-243.405564065621
9027982668.29987289974129.700127100261
9132543019.19011307488234.809886925117
9228953865.68067176837-970.680671768369
9332632796.88139101464466.11860898536
9437363050.67837743679685.32162256321
9540773930.09579268135146.904207318653
9640974260.61214200891-163.612142008913
9721752370.09476451141-195.094764511410
9831382462.10353020859675.896469791409
9928232897.51364926012-74.5136492601241
10024982921.0046531891-423.004653189102
10128222987.33156401831-165.331564018306
10227382839.60962813127-101.609628131268
10341373211.91206070021925.087939299788
10435153745.42172085299-230.421720852994
10537853229.25825010295555.741749897047
10636323595.6000644755436.3999355244632
10745044252.58830194226251.411698057742
10844514508.37179926193-57.371799261935
10925502479.8838968395070.1161031604966
11028672942.10319674560-75.1031967456047
11134583030.20757497546427.792425024544
11229612989.72167044481-28.721670444806
11331633220.0325901477-57.0325901477031
11428803102.55515167413-222.555151674134
11533313884.91532425601-553.915324256011
11630623833.51846524582-771.518465245816
11735343510.4568725639523.5431274360490
11836223627.27895277377-5.27895277376638
11944644351.11716344243112.882836557567
12054114477.1798134772933.820186522797
12125642566.22711446184-2.22711446184394
12228202976.15993397383-156.159933973829
12335083228.6427094204279.357290579596
12430883006.7294578592381.2705421407677
12532993242.1041844751356.8958155248692
12629393076.46546889192-137.465468891921
12733203764.05441973576-444.054419735764
12834183641.60513083321-223.605130833205
12936043665.57747841546-61.5774784154555
13034953766.41245680783-271.412456807835
13141634520.02156947913-357.021569479127
13248824867.2744251769814.7255748230182
13322112536.96871678841-325.968716788407
13432602838.13414611879421.865853881208
13529923307.93248574866-315.932485748664
13624252946.79597039393-521.795970393925
13727073078.9868118905-371.986811890501
13832442801.0461047987442.953895201298
13939653414.55101211349550.448987886507
14033153488.27560299426-173.275602994259
14133333568.63999532627-235.639995326266
14235833568.6246357687914.3753642312063
14340214308.7316226438-287.731622643799
14449044779.49838278938124.501617210616
14522522380.83043525035-128.830435250346
14629522956.79252418115-4.79252418114993
14735733108.42207819868464.577921801324
14830482768.10331782691279.896682173094
14930593062.74851001720-3.74851001720481
15027313117.22529966795-386.225299667947
15135633672.98295548228-109.982955482281
15230923412.31752853798-320.317528537983
15334783448.9626831543029.0373168456954
15434783567.29143929519-89.2914392951898
15543084183.54837152876124.451628471235
15650294852.26900531843176.730994681573
15720752353.25703410054-278.257034100538
15832642952.15085465155311.849145348455
15933083307.369685730340.630314269658811
16036882845.26743863561842.73256136439
16131363115.7993938880620.2006061119350
16228243038.10125461901-214.101254619015
16336443731.10337236326-87.1033723632554
16446943392.186426996101301.81357300390
16529143779.56839876408-865.568398764083
16636863754.58016790621-68.5801679062129
16743584497.78163549096-139.781635490962
16855875195.1997465914391.800253408599
16922652399.6679296203-134.667929620299
17036853285.41328892342399.586711076584
17137543565.51555948623188.484440513767
17237083399.09318361850308.906816381505
17332103314.01229927252-104.012299272516
17435173132.59718815175384.40281184825
17539054014.20649785714-109.206497857137

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2072 & 2006.68440258248 & 65.3155974175247 \tabularnewline
14 & 2434 & 2346.39287836549 & 87.607121634514 \tabularnewline
15 & 2956 & 2836.39858085195 & 119.601419148053 \tabularnewline
16 & 2828 & 2731.91362651944 & 96.0863734805648 \tabularnewline
17 & 2687 & 2640.20233475900 & 46.797665241003 \tabularnewline
18 & 2629 & 2614.57841515656 & 14.4215848434351 \tabularnewline
19 & 3150 & 2782.61972645414 & 367.380273545858 \tabularnewline
20 & 4119 & 3810.03975875582 & 308.960241244179 \tabularnewline
21 & 3030 & 2684.05701703421 & 345.942982965794 \tabularnewline
22 & 3055 & 3630.00274378242 & -575.002743782422 \tabularnewline
23 & 3821 & 4467.44341770354 & -646.443417703535 \tabularnewline
24 & 4001 & 4305.61930252181 & -304.61930252181 \tabularnewline
25 & 2529 & 2281.31173021894 & 247.688269781060 \tabularnewline
26 & 2472 & 2696.56519508368 & -224.565195083681 \tabularnewline
27 & 3134 & 3214.07376951865 & -80.073769518654 \tabularnewline
28 & 2789 & 3060.17379420265 & -271.173794202645 \tabularnewline
29 & 2758 & 2891.23054258321 & -133.230542583205 \tabularnewline
30 & 2993 & 2824.7088875317 & 168.291112468299 \tabularnewline
31 & 3282 & 3153.18331542525 & 128.816684574754 \tabularnewline
32 & 3437 & 4192.97405227788 & -755.974052277884 \tabularnewline
33 & 2804 & 2896.73829938057 & -92.7382993805713 \tabularnewline
34 & 3076 & 3463.36294829674 & -387.362948296744 \tabularnewline
35 & 3782 & 4299.54189011614 & -517.54189011614 \tabularnewline
36 & 3889 & 4261.80826900495 & -372.808269004947 \tabularnewline
37 & 2271 & 2390.40331232745 & -119.403312327445 \tabularnewline
38 & 2452 & 2585.69124967042 & -133.691249670419 \tabularnewline
39 & 3084 & 3150.80546676277 & -66.8054667627653 \tabularnewline
40 & 2522 & 2925.53219914797 & -403.532199147966 \tabularnewline
41 & 2769 & 2781.15196243472 & -12.1519624347188 \tabularnewline
42 & 3438 & 2825.12146833713 & 612.878531662873 \tabularnewline
43 & 2839 & 3188.20831564264 & -349.208315642635 \tabularnewline
44 & 3746 & 3830.04672401753 & -84.0467240175308 \tabularnewline
45 & 2632 & 2845.84390966825 & -213.843909668252 \tabularnewline
46 & 2851 & 3280.28633671994 & -429.286336719936 \tabularnewline
47 & 3871 & 4040.14534565316 & -169.145345653155 \tabularnewline
48 & 3618 & 4085.64321439013 & -467.643214390134 \tabularnewline
49 & 2389 & 2309.93304647181 & 79.0669535281886 \tabularnewline
50 & 2344 & 2518.89393328109 & -174.893933281093 \tabularnewline
51 & 2678 & 3089.89421314685 & -411.894213146855 \tabularnewline
52 & 2492 & 2704.73420274229 & -212.734202742291 \tabularnewline
53 & 2858 & 2713.21286269809 & 144.787137301912 \tabularnewline
54 & 2246 & 2978.05763015226 & -732.057630152264 \tabularnewline
55 & 2800 & 2831.22238017626 & -31.2223801762616 \tabularnewline
56 & 3869 & 3542.86747186579 & 326.132528134206 \tabularnewline
57 & 3007 & 2612.72235820797 & 394.277641792029 \tabularnewline
58 & 3023 & 3028.77128534522 & -5.7712853452158 \tabularnewline
59 & 3907 & 3911.20909719863 & -4.20909719862857 \tabularnewline
60 & 4209 & 3867.06883554976 & 341.931164450237 \tabularnewline
61 & 2353 & 2363.01615714814 & -10.0161571481431 \tabularnewline
62 & 2570 & 2471.30432488283 & 98.6956751171679 \tabularnewline
63 & 2903 & 3001.04715244328 & -98.0471524432819 \tabularnewline
64 & 2910 & 2715.17584035319 & 194.824159646811 \tabularnewline
65 & 3782 & 2908.34781678921 & 873.652183210786 \tabularnewline
66 & 2759 & 2951.50445293781 & -192.504452937806 \tabularnewline
67 & 2931 & 3142.95957301546 & -211.959573015459 \tabularnewline
68 & 3641 & 4051.84652003429 & -410.846520034286 \tabularnewline
69 & 2794 & 2976.25565874145 & -182.255658741448 \tabularnewline
70 & 3070 & 3195.6641803373 & -125.664180337298 \tabularnewline
71 & 3576 & 4109.96752865424 & -533.967528654239 \tabularnewline
72 & 4106 & 4120.10908941213 & -14.1090894121326 \tabularnewline
73 & 2452 & 2411.09343463825 & 40.9065653617513 \tabularnewline
74 & 2206 & 2565.83325039367 & -359.833250393674 \tabularnewline
75 & 2488 & 2967.17985017809 & -479.179850178092 \tabularnewline
76 & 2416 & 2732.91512682599 & -316.915126825987 \tabularnewline
77 & 2534 & 3063.25844701153 & -529.258447011527 \tabularnewline
78 & 2521 & 2592.80590968855 & -71.8059096885477 \tabularnewline
79 & 3093 & 2761.03069836954 & 331.969301630463 \tabularnewline
80 & 3903 & 3587.54827993655 & 315.451720063454 \tabularnewline
81 & 2907 & 2731.51055778802 & 175.489442211976 \tabularnewline
82 & 3025 & 2996.81882502637 & 28.1811749736344 \tabularnewline
83 & 3812 & 3745.12475709111 & 66.8752429088913 \tabularnewline
84 & 4209 & 3998.77225601464 & 210.227743985358 \tabularnewline
85 & 2138 & 2370.78136571911 & -232.781365719107 \tabularnewline
86 & 2419 & 2346.49111561055 & 72.5088843894537 \tabularnewline
87 & 2622 & 2748.24707257249 & -126.247072572492 \tabularnewline
88 & 2912 & 2612.28682428414 & 299.713175715859 \tabularnewline
89 & 2708 & 2951.40556406562 & -243.405564065621 \tabularnewline
90 & 2798 & 2668.29987289974 & 129.700127100261 \tabularnewline
91 & 3254 & 3019.19011307488 & 234.809886925117 \tabularnewline
92 & 2895 & 3865.68067176837 & -970.680671768369 \tabularnewline
93 & 3263 & 2796.88139101464 & 466.11860898536 \tabularnewline
94 & 3736 & 3050.67837743679 & 685.32162256321 \tabularnewline
95 & 4077 & 3930.09579268135 & 146.904207318653 \tabularnewline
96 & 4097 & 4260.61214200891 & -163.612142008913 \tabularnewline
97 & 2175 & 2370.09476451141 & -195.094764511410 \tabularnewline
98 & 3138 & 2462.10353020859 & 675.896469791409 \tabularnewline
99 & 2823 & 2897.51364926012 & -74.5136492601241 \tabularnewline
100 & 2498 & 2921.0046531891 & -423.004653189102 \tabularnewline
101 & 2822 & 2987.33156401831 & -165.331564018306 \tabularnewline
102 & 2738 & 2839.60962813127 & -101.609628131268 \tabularnewline
103 & 4137 & 3211.91206070021 & 925.087939299788 \tabularnewline
104 & 3515 & 3745.42172085299 & -230.421720852994 \tabularnewline
105 & 3785 & 3229.25825010295 & 555.741749897047 \tabularnewline
106 & 3632 & 3595.60006447554 & 36.3999355244632 \tabularnewline
107 & 4504 & 4252.58830194226 & 251.411698057742 \tabularnewline
108 & 4451 & 4508.37179926193 & -57.371799261935 \tabularnewline
109 & 2550 & 2479.88389683950 & 70.1161031604966 \tabularnewline
110 & 2867 & 2942.10319674560 & -75.1031967456047 \tabularnewline
111 & 3458 & 3030.20757497546 & 427.792425024544 \tabularnewline
112 & 2961 & 2989.72167044481 & -28.721670444806 \tabularnewline
113 & 3163 & 3220.0325901477 & -57.0325901477031 \tabularnewline
114 & 2880 & 3102.55515167413 & -222.555151674134 \tabularnewline
115 & 3331 & 3884.91532425601 & -553.915324256011 \tabularnewline
116 & 3062 & 3833.51846524582 & -771.518465245816 \tabularnewline
117 & 3534 & 3510.45687256395 & 23.5431274360490 \tabularnewline
118 & 3622 & 3627.27895277377 & -5.27895277376638 \tabularnewline
119 & 4464 & 4351.11716344243 & 112.882836557567 \tabularnewline
120 & 5411 & 4477.1798134772 & 933.820186522797 \tabularnewline
121 & 2564 & 2566.22711446184 & -2.22711446184394 \tabularnewline
122 & 2820 & 2976.15993397383 & -156.159933973829 \tabularnewline
123 & 3508 & 3228.6427094204 & 279.357290579596 \tabularnewline
124 & 3088 & 3006.72945785923 & 81.2705421407677 \tabularnewline
125 & 3299 & 3242.10418447513 & 56.8958155248692 \tabularnewline
126 & 2939 & 3076.46546889192 & -137.465468891921 \tabularnewline
127 & 3320 & 3764.05441973576 & -444.054419735764 \tabularnewline
128 & 3418 & 3641.60513083321 & -223.605130833205 \tabularnewline
129 & 3604 & 3665.57747841546 & -61.5774784154555 \tabularnewline
130 & 3495 & 3766.41245680783 & -271.412456807835 \tabularnewline
131 & 4163 & 4520.02156947913 & -357.021569479127 \tabularnewline
132 & 4882 & 4867.27442517698 & 14.7255748230182 \tabularnewline
133 & 2211 & 2536.96871678841 & -325.968716788407 \tabularnewline
134 & 3260 & 2838.13414611879 & 421.865853881208 \tabularnewline
135 & 2992 & 3307.93248574866 & -315.932485748664 \tabularnewline
136 & 2425 & 2946.79597039393 & -521.795970393925 \tabularnewline
137 & 2707 & 3078.9868118905 & -371.986811890501 \tabularnewline
138 & 3244 & 2801.0461047987 & 442.953895201298 \tabularnewline
139 & 3965 & 3414.55101211349 & 550.448987886507 \tabularnewline
140 & 3315 & 3488.27560299426 & -173.275602994259 \tabularnewline
141 & 3333 & 3568.63999532627 & -235.639995326266 \tabularnewline
142 & 3583 & 3568.62463576879 & 14.3753642312063 \tabularnewline
143 & 4021 & 4308.7316226438 & -287.731622643799 \tabularnewline
144 & 4904 & 4779.49838278938 & 124.501617210616 \tabularnewline
145 & 2252 & 2380.83043525035 & -128.830435250346 \tabularnewline
146 & 2952 & 2956.79252418115 & -4.79252418114993 \tabularnewline
147 & 3573 & 3108.42207819868 & 464.577921801324 \tabularnewline
148 & 3048 & 2768.10331782691 & 279.896682173094 \tabularnewline
149 & 3059 & 3062.74851001720 & -3.74851001720481 \tabularnewline
150 & 2731 & 3117.22529966795 & -386.225299667947 \tabularnewline
151 & 3563 & 3672.98295548228 & -109.982955482281 \tabularnewline
152 & 3092 & 3412.31752853798 & -320.317528537983 \tabularnewline
153 & 3478 & 3448.96268315430 & 29.0373168456954 \tabularnewline
154 & 3478 & 3567.29143929519 & -89.2914392951898 \tabularnewline
155 & 4308 & 4183.54837152876 & 124.451628471235 \tabularnewline
156 & 5029 & 4852.26900531843 & 176.730994681573 \tabularnewline
157 & 2075 & 2353.25703410054 & -278.257034100538 \tabularnewline
158 & 3264 & 2952.15085465155 & 311.849145348455 \tabularnewline
159 & 3308 & 3307.36968573034 & 0.630314269658811 \tabularnewline
160 & 3688 & 2845.26743863561 & 842.73256136439 \tabularnewline
161 & 3136 & 3115.79939388806 & 20.2006061119350 \tabularnewline
162 & 2824 & 3038.10125461901 & -214.101254619015 \tabularnewline
163 & 3644 & 3731.10337236326 & -87.1033723632554 \tabularnewline
164 & 4694 & 3392.18642699610 & 1301.81357300390 \tabularnewline
165 & 2914 & 3779.56839876408 & -865.568398764083 \tabularnewline
166 & 3686 & 3754.58016790621 & -68.5801679062129 \tabularnewline
167 & 4358 & 4497.78163549096 & -139.781635490962 \tabularnewline
168 & 5587 & 5195.1997465914 & 391.800253408599 \tabularnewline
169 & 2265 & 2399.6679296203 & -134.667929620299 \tabularnewline
170 & 3685 & 3285.41328892342 & 399.586711076584 \tabularnewline
171 & 3754 & 3565.51555948623 & 188.484440513767 \tabularnewline
172 & 3708 & 3399.09318361850 & 308.906816381505 \tabularnewline
173 & 3210 & 3314.01229927252 & -104.012299272516 \tabularnewline
174 & 3517 & 3132.59718815175 & 384.40281184825 \tabularnewline
175 & 3905 & 4014.20649785714 & -109.206497857137 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77366&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]2006.68440258248[/C][C]65.3155974175247[/C][/ROW]
[ROW][C]14[/C][C]2434[/C][C]2346.39287836549[/C][C]87.607121634514[/C][/ROW]
[ROW][C]15[/C][C]2956[/C][C]2836.39858085195[/C][C]119.601419148053[/C][/ROW]
[ROW][C]16[/C][C]2828[/C][C]2731.91362651944[/C][C]96.0863734805648[/C][/ROW]
[ROW][C]17[/C][C]2687[/C][C]2640.20233475900[/C][C]46.797665241003[/C][/ROW]
[ROW][C]18[/C][C]2629[/C][C]2614.57841515656[/C][C]14.4215848434351[/C][/ROW]
[ROW][C]19[/C][C]3150[/C][C]2782.61972645414[/C][C]367.380273545858[/C][/ROW]
[ROW][C]20[/C][C]4119[/C][C]3810.03975875582[/C][C]308.960241244179[/C][/ROW]
[ROW][C]21[/C][C]3030[/C][C]2684.05701703421[/C][C]345.942982965794[/C][/ROW]
[ROW][C]22[/C][C]3055[/C][C]3630.00274378242[/C][C]-575.002743782422[/C][/ROW]
[ROW][C]23[/C][C]3821[/C][C]4467.44341770354[/C][C]-646.443417703535[/C][/ROW]
[ROW][C]24[/C][C]4001[/C][C]4305.61930252181[/C][C]-304.61930252181[/C][/ROW]
[ROW][C]25[/C][C]2529[/C][C]2281.31173021894[/C][C]247.688269781060[/C][/ROW]
[ROW][C]26[/C][C]2472[/C][C]2696.56519508368[/C][C]-224.565195083681[/C][/ROW]
[ROW][C]27[/C][C]3134[/C][C]3214.07376951865[/C][C]-80.073769518654[/C][/ROW]
[ROW][C]28[/C][C]2789[/C][C]3060.17379420265[/C][C]-271.173794202645[/C][/ROW]
[ROW][C]29[/C][C]2758[/C][C]2891.23054258321[/C][C]-133.230542583205[/C][/ROW]
[ROW][C]30[/C][C]2993[/C][C]2824.7088875317[/C][C]168.291112468299[/C][/ROW]
[ROW][C]31[/C][C]3282[/C][C]3153.18331542525[/C][C]128.816684574754[/C][/ROW]
[ROW][C]32[/C][C]3437[/C][C]4192.97405227788[/C][C]-755.974052277884[/C][/ROW]
[ROW][C]33[/C][C]2804[/C][C]2896.73829938057[/C][C]-92.7382993805713[/C][/ROW]
[ROW][C]34[/C][C]3076[/C][C]3463.36294829674[/C][C]-387.362948296744[/C][/ROW]
[ROW][C]35[/C][C]3782[/C][C]4299.54189011614[/C][C]-517.54189011614[/C][/ROW]
[ROW][C]36[/C][C]3889[/C][C]4261.80826900495[/C][C]-372.808269004947[/C][/ROW]
[ROW][C]37[/C][C]2271[/C][C]2390.40331232745[/C][C]-119.403312327445[/C][/ROW]
[ROW][C]38[/C][C]2452[/C][C]2585.69124967042[/C][C]-133.691249670419[/C][/ROW]
[ROW][C]39[/C][C]3084[/C][C]3150.80546676277[/C][C]-66.8054667627653[/C][/ROW]
[ROW][C]40[/C][C]2522[/C][C]2925.53219914797[/C][C]-403.532199147966[/C][/ROW]
[ROW][C]41[/C][C]2769[/C][C]2781.15196243472[/C][C]-12.1519624347188[/C][/ROW]
[ROW][C]42[/C][C]3438[/C][C]2825.12146833713[/C][C]612.878531662873[/C][/ROW]
[ROW][C]43[/C][C]2839[/C][C]3188.20831564264[/C][C]-349.208315642635[/C][/ROW]
[ROW][C]44[/C][C]3746[/C][C]3830.04672401753[/C][C]-84.0467240175308[/C][/ROW]
[ROW][C]45[/C][C]2632[/C][C]2845.84390966825[/C][C]-213.843909668252[/C][/ROW]
[ROW][C]46[/C][C]2851[/C][C]3280.28633671994[/C][C]-429.286336719936[/C][/ROW]
[ROW][C]47[/C][C]3871[/C][C]4040.14534565316[/C][C]-169.145345653155[/C][/ROW]
[ROW][C]48[/C][C]3618[/C][C]4085.64321439013[/C][C]-467.643214390134[/C][/ROW]
[ROW][C]49[/C][C]2389[/C][C]2309.93304647181[/C][C]79.0669535281886[/C][/ROW]
[ROW][C]50[/C][C]2344[/C][C]2518.89393328109[/C][C]-174.893933281093[/C][/ROW]
[ROW][C]51[/C][C]2678[/C][C]3089.89421314685[/C][C]-411.894213146855[/C][/ROW]
[ROW][C]52[/C][C]2492[/C][C]2704.73420274229[/C][C]-212.734202742291[/C][/ROW]
[ROW][C]53[/C][C]2858[/C][C]2713.21286269809[/C][C]144.787137301912[/C][/ROW]
[ROW][C]54[/C][C]2246[/C][C]2978.05763015226[/C][C]-732.057630152264[/C][/ROW]
[ROW][C]55[/C][C]2800[/C][C]2831.22238017626[/C][C]-31.2223801762616[/C][/ROW]
[ROW][C]56[/C][C]3869[/C][C]3542.86747186579[/C][C]326.132528134206[/C][/ROW]
[ROW][C]57[/C][C]3007[/C][C]2612.72235820797[/C][C]394.277641792029[/C][/ROW]
[ROW][C]58[/C][C]3023[/C][C]3028.77128534522[/C][C]-5.7712853452158[/C][/ROW]
[ROW][C]59[/C][C]3907[/C][C]3911.20909719863[/C][C]-4.20909719862857[/C][/ROW]
[ROW][C]60[/C][C]4209[/C][C]3867.06883554976[/C][C]341.931164450237[/C][/ROW]
[ROW][C]61[/C][C]2353[/C][C]2363.01615714814[/C][C]-10.0161571481431[/C][/ROW]
[ROW][C]62[/C][C]2570[/C][C]2471.30432488283[/C][C]98.6956751171679[/C][/ROW]
[ROW][C]63[/C][C]2903[/C][C]3001.04715244328[/C][C]-98.0471524432819[/C][/ROW]
[ROW][C]64[/C][C]2910[/C][C]2715.17584035319[/C][C]194.824159646811[/C][/ROW]
[ROW][C]65[/C][C]3782[/C][C]2908.34781678921[/C][C]873.652183210786[/C][/ROW]
[ROW][C]66[/C][C]2759[/C][C]2951.50445293781[/C][C]-192.504452937806[/C][/ROW]
[ROW][C]67[/C][C]2931[/C][C]3142.95957301546[/C][C]-211.959573015459[/C][/ROW]
[ROW][C]68[/C][C]3641[/C][C]4051.84652003429[/C][C]-410.846520034286[/C][/ROW]
[ROW][C]69[/C][C]2794[/C][C]2976.25565874145[/C][C]-182.255658741448[/C][/ROW]
[ROW][C]70[/C][C]3070[/C][C]3195.6641803373[/C][C]-125.664180337298[/C][/ROW]
[ROW][C]71[/C][C]3576[/C][C]4109.96752865424[/C][C]-533.967528654239[/C][/ROW]
[ROW][C]72[/C][C]4106[/C][C]4120.10908941213[/C][C]-14.1090894121326[/C][/ROW]
[ROW][C]73[/C][C]2452[/C][C]2411.09343463825[/C][C]40.9065653617513[/C][/ROW]
[ROW][C]74[/C][C]2206[/C][C]2565.83325039367[/C][C]-359.833250393674[/C][/ROW]
[ROW][C]75[/C][C]2488[/C][C]2967.17985017809[/C][C]-479.179850178092[/C][/ROW]
[ROW][C]76[/C][C]2416[/C][C]2732.91512682599[/C][C]-316.915126825987[/C][/ROW]
[ROW][C]77[/C][C]2534[/C][C]3063.25844701153[/C][C]-529.258447011527[/C][/ROW]
[ROW][C]78[/C][C]2521[/C][C]2592.80590968855[/C][C]-71.8059096885477[/C][/ROW]
[ROW][C]79[/C][C]3093[/C][C]2761.03069836954[/C][C]331.969301630463[/C][/ROW]
[ROW][C]80[/C][C]3903[/C][C]3587.54827993655[/C][C]315.451720063454[/C][/ROW]
[ROW][C]81[/C][C]2907[/C][C]2731.51055778802[/C][C]175.489442211976[/C][/ROW]
[ROW][C]82[/C][C]3025[/C][C]2996.81882502637[/C][C]28.1811749736344[/C][/ROW]
[ROW][C]83[/C][C]3812[/C][C]3745.12475709111[/C][C]66.8752429088913[/C][/ROW]
[ROW][C]84[/C][C]4209[/C][C]3998.77225601464[/C][C]210.227743985358[/C][/ROW]
[ROW][C]85[/C][C]2138[/C][C]2370.78136571911[/C][C]-232.781365719107[/C][/ROW]
[ROW][C]86[/C][C]2419[/C][C]2346.49111561055[/C][C]72.5088843894537[/C][/ROW]
[ROW][C]87[/C][C]2622[/C][C]2748.24707257249[/C][C]-126.247072572492[/C][/ROW]
[ROW][C]88[/C][C]2912[/C][C]2612.28682428414[/C][C]299.713175715859[/C][/ROW]
[ROW][C]89[/C][C]2708[/C][C]2951.40556406562[/C][C]-243.405564065621[/C][/ROW]
[ROW][C]90[/C][C]2798[/C][C]2668.29987289974[/C][C]129.700127100261[/C][/ROW]
[ROW][C]91[/C][C]3254[/C][C]3019.19011307488[/C][C]234.809886925117[/C][/ROW]
[ROW][C]92[/C][C]2895[/C][C]3865.68067176837[/C][C]-970.680671768369[/C][/ROW]
[ROW][C]93[/C][C]3263[/C][C]2796.88139101464[/C][C]466.11860898536[/C][/ROW]
[ROW][C]94[/C][C]3736[/C][C]3050.67837743679[/C][C]685.32162256321[/C][/ROW]
[ROW][C]95[/C][C]4077[/C][C]3930.09579268135[/C][C]146.904207318653[/C][/ROW]
[ROW][C]96[/C][C]4097[/C][C]4260.61214200891[/C][C]-163.612142008913[/C][/ROW]
[ROW][C]97[/C][C]2175[/C][C]2370.09476451141[/C][C]-195.094764511410[/C][/ROW]
[ROW][C]98[/C][C]3138[/C][C]2462.10353020859[/C][C]675.896469791409[/C][/ROW]
[ROW][C]99[/C][C]2823[/C][C]2897.51364926012[/C][C]-74.5136492601241[/C][/ROW]
[ROW][C]100[/C][C]2498[/C][C]2921.0046531891[/C][C]-423.004653189102[/C][/ROW]
[ROW][C]101[/C][C]2822[/C][C]2987.33156401831[/C][C]-165.331564018306[/C][/ROW]
[ROW][C]102[/C][C]2738[/C][C]2839.60962813127[/C][C]-101.609628131268[/C][/ROW]
[ROW][C]103[/C][C]4137[/C][C]3211.91206070021[/C][C]925.087939299788[/C][/ROW]
[ROW][C]104[/C][C]3515[/C][C]3745.42172085299[/C][C]-230.421720852994[/C][/ROW]
[ROW][C]105[/C][C]3785[/C][C]3229.25825010295[/C][C]555.741749897047[/C][/ROW]
[ROW][C]106[/C][C]3632[/C][C]3595.60006447554[/C][C]36.3999355244632[/C][/ROW]
[ROW][C]107[/C][C]4504[/C][C]4252.58830194226[/C][C]251.411698057742[/C][/ROW]
[ROW][C]108[/C][C]4451[/C][C]4508.37179926193[/C][C]-57.371799261935[/C][/ROW]
[ROW][C]109[/C][C]2550[/C][C]2479.88389683950[/C][C]70.1161031604966[/C][/ROW]
[ROW][C]110[/C][C]2867[/C][C]2942.10319674560[/C][C]-75.1031967456047[/C][/ROW]
[ROW][C]111[/C][C]3458[/C][C]3030.20757497546[/C][C]427.792425024544[/C][/ROW]
[ROW][C]112[/C][C]2961[/C][C]2989.72167044481[/C][C]-28.721670444806[/C][/ROW]
[ROW][C]113[/C][C]3163[/C][C]3220.0325901477[/C][C]-57.0325901477031[/C][/ROW]
[ROW][C]114[/C][C]2880[/C][C]3102.55515167413[/C][C]-222.555151674134[/C][/ROW]
[ROW][C]115[/C][C]3331[/C][C]3884.91532425601[/C][C]-553.915324256011[/C][/ROW]
[ROW][C]116[/C][C]3062[/C][C]3833.51846524582[/C][C]-771.518465245816[/C][/ROW]
[ROW][C]117[/C][C]3534[/C][C]3510.45687256395[/C][C]23.5431274360490[/C][/ROW]
[ROW][C]118[/C][C]3622[/C][C]3627.27895277377[/C][C]-5.27895277376638[/C][/ROW]
[ROW][C]119[/C][C]4464[/C][C]4351.11716344243[/C][C]112.882836557567[/C][/ROW]
[ROW][C]120[/C][C]5411[/C][C]4477.1798134772[/C][C]933.820186522797[/C][/ROW]
[ROW][C]121[/C][C]2564[/C][C]2566.22711446184[/C][C]-2.22711446184394[/C][/ROW]
[ROW][C]122[/C][C]2820[/C][C]2976.15993397383[/C][C]-156.159933973829[/C][/ROW]
[ROW][C]123[/C][C]3508[/C][C]3228.6427094204[/C][C]279.357290579596[/C][/ROW]
[ROW][C]124[/C][C]3088[/C][C]3006.72945785923[/C][C]81.2705421407677[/C][/ROW]
[ROW][C]125[/C][C]3299[/C][C]3242.10418447513[/C][C]56.8958155248692[/C][/ROW]
[ROW][C]126[/C][C]2939[/C][C]3076.46546889192[/C][C]-137.465468891921[/C][/ROW]
[ROW][C]127[/C][C]3320[/C][C]3764.05441973576[/C][C]-444.054419735764[/C][/ROW]
[ROW][C]128[/C][C]3418[/C][C]3641.60513083321[/C][C]-223.605130833205[/C][/ROW]
[ROW][C]129[/C][C]3604[/C][C]3665.57747841546[/C][C]-61.5774784154555[/C][/ROW]
[ROW][C]130[/C][C]3495[/C][C]3766.41245680783[/C][C]-271.412456807835[/C][/ROW]
[ROW][C]131[/C][C]4163[/C][C]4520.02156947913[/C][C]-357.021569479127[/C][/ROW]
[ROW][C]132[/C][C]4882[/C][C]4867.27442517698[/C][C]14.7255748230182[/C][/ROW]
[ROW][C]133[/C][C]2211[/C][C]2536.96871678841[/C][C]-325.968716788407[/C][/ROW]
[ROW][C]134[/C][C]3260[/C][C]2838.13414611879[/C][C]421.865853881208[/C][/ROW]
[ROW][C]135[/C][C]2992[/C][C]3307.93248574866[/C][C]-315.932485748664[/C][/ROW]
[ROW][C]136[/C][C]2425[/C][C]2946.79597039393[/C][C]-521.795970393925[/C][/ROW]
[ROW][C]137[/C][C]2707[/C][C]3078.9868118905[/C][C]-371.986811890501[/C][/ROW]
[ROW][C]138[/C][C]3244[/C][C]2801.0461047987[/C][C]442.953895201298[/C][/ROW]
[ROW][C]139[/C][C]3965[/C][C]3414.55101211349[/C][C]550.448987886507[/C][/ROW]
[ROW][C]140[/C][C]3315[/C][C]3488.27560299426[/C][C]-173.275602994259[/C][/ROW]
[ROW][C]141[/C][C]3333[/C][C]3568.63999532627[/C][C]-235.639995326266[/C][/ROW]
[ROW][C]142[/C][C]3583[/C][C]3568.62463576879[/C][C]14.3753642312063[/C][/ROW]
[ROW][C]143[/C][C]4021[/C][C]4308.7316226438[/C][C]-287.731622643799[/C][/ROW]
[ROW][C]144[/C][C]4904[/C][C]4779.49838278938[/C][C]124.501617210616[/C][/ROW]
[ROW][C]145[/C][C]2252[/C][C]2380.83043525035[/C][C]-128.830435250346[/C][/ROW]
[ROW][C]146[/C][C]2952[/C][C]2956.79252418115[/C][C]-4.79252418114993[/C][/ROW]
[ROW][C]147[/C][C]3573[/C][C]3108.42207819868[/C][C]464.577921801324[/C][/ROW]
[ROW][C]148[/C][C]3048[/C][C]2768.10331782691[/C][C]279.896682173094[/C][/ROW]
[ROW][C]149[/C][C]3059[/C][C]3062.74851001720[/C][C]-3.74851001720481[/C][/ROW]
[ROW][C]150[/C][C]2731[/C][C]3117.22529966795[/C][C]-386.225299667947[/C][/ROW]
[ROW][C]151[/C][C]3563[/C][C]3672.98295548228[/C][C]-109.982955482281[/C][/ROW]
[ROW][C]152[/C][C]3092[/C][C]3412.31752853798[/C][C]-320.317528537983[/C][/ROW]
[ROW][C]153[/C][C]3478[/C][C]3448.96268315430[/C][C]29.0373168456954[/C][/ROW]
[ROW][C]154[/C][C]3478[/C][C]3567.29143929519[/C][C]-89.2914392951898[/C][/ROW]
[ROW][C]155[/C][C]4308[/C][C]4183.54837152876[/C][C]124.451628471235[/C][/ROW]
[ROW][C]156[/C][C]5029[/C][C]4852.26900531843[/C][C]176.730994681573[/C][/ROW]
[ROW][C]157[/C][C]2075[/C][C]2353.25703410054[/C][C]-278.257034100538[/C][/ROW]
[ROW][C]158[/C][C]3264[/C][C]2952.15085465155[/C][C]311.849145348455[/C][/ROW]
[ROW][C]159[/C][C]3308[/C][C]3307.36968573034[/C][C]0.630314269658811[/C][/ROW]
[ROW][C]160[/C][C]3688[/C][C]2845.26743863561[/C][C]842.73256136439[/C][/ROW]
[ROW][C]161[/C][C]3136[/C][C]3115.79939388806[/C][C]20.2006061119350[/C][/ROW]
[ROW][C]162[/C][C]2824[/C][C]3038.10125461901[/C][C]-214.101254619015[/C][/ROW]
[ROW][C]163[/C][C]3644[/C][C]3731.10337236326[/C][C]-87.1033723632554[/C][/ROW]
[ROW][C]164[/C][C]4694[/C][C]3392.18642699610[/C][C]1301.81357300390[/C][/ROW]
[ROW][C]165[/C][C]2914[/C][C]3779.56839876408[/C][C]-865.568398764083[/C][/ROW]
[ROW][C]166[/C][C]3686[/C][C]3754.58016790621[/C][C]-68.5801679062129[/C][/ROW]
[ROW][C]167[/C][C]4358[/C][C]4497.78163549096[/C][C]-139.781635490962[/C][/ROW]
[ROW][C]168[/C][C]5587[/C][C]5195.1997465914[/C][C]391.800253408599[/C][/ROW]
[ROW][C]169[/C][C]2265[/C][C]2399.6679296203[/C][C]-134.667929620299[/C][/ROW]
[ROW][C]170[/C][C]3685[/C][C]3285.41328892342[/C][C]399.586711076584[/C][/ROW]
[ROW][C]171[/C][C]3754[/C][C]3565.51555948623[/C][C]188.484440513767[/C][/ROW]
[ROW][C]172[/C][C]3708[/C][C]3399.09318361850[/C][C]308.906816381505[/C][/ROW]
[ROW][C]173[/C][C]3210[/C][C]3314.01229927252[/C][C]-104.012299272516[/C][/ROW]
[ROW][C]174[/C][C]3517[/C][C]3132.59718815175[/C][C]384.40281184825[/C][/ROW]
[ROW][C]175[/C][C]3905[/C][C]4014.20649785714[/C][C]-109.206497857137[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77366&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77366&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
1320722006.6844025824865.3155974175247
1424342346.3928783654987.607121634514
1529562836.39858085195119.601419148053
1628282731.9136265194496.0863734805648
1726872640.2023347590046.797665241003
1826292614.5784151565614.4215848434351
1931502782.61972645414367.380273545858
2041193810.03975875582308.960241244179
2130302684.05701703421345.942982965794
2230553630.00274378242-575.002743782422
2338214467.44341770354-646.443417703535
2440014305.61930252181-304.61930252181
2525292281.31173021894247.688269781060
2624722696.56519508368-224.565195083681
2731343214.07376951865-80.073769518654
2827893060.17379420265-271.173794202645
2927582891.23054258321-133.230542583205
3029932824.7088875317168.291112468299
3132823153.18331542525128.816684574754
3234374192.97405227788-755.974052277884
3328042896.73829938057-92.7382993805713
3430763463.36294829674-387.362948296744
3537824299.54189011614-517.54189011614
3638894261.80826900495-372.808269004947
3722712390.40331232745-119.403312327445
3824522585.69124967042-133.691249670419
3930843150.80546676277-66.8054667627653
4025222925.53219914797-403.532199147966
4127692781.15196243472-12.1519624347188
4234382825.12146833713612.878531662873
4328393188.20831564264-349.208315642635
4437463830.04672401753-84.0467240175308
4526322845.84390966825-213.843909668252
4628513280.28633671994-429.286336719936
4738714040.14534565316-169.145345653155
4836184085.64321439013-467.643214390134
4923892309.9330464718179.0669535281886
5023442518.89393328109-174.893933281093
5126783089.89421314685-411.894213146855
5224922704.73420274229-212.734202742291
5328582713.21286269809144.787137301912
5422462978.05763015226-732.057630152264
5528002831.22238017626-31.2223801762616
5638693542.86747186579326.132528134206
5730072612.72235820797394.277641792029
5830233028.77128534522-5.7712853452158
5939073911.20909719863-4.20909719862857
6042093867.06883554976341.931164450237
6123532363.01615714814-10.0161571481431
6225702471.3043248828398.6956751171679
6329033001.04715244328-98.0471524432819
6429102715.17584035319194.824159646811
6537822908.34781678921873.652183210786
6627592951.50445293781-192.504452937806
6729313142.95957301546-211.959573015459
6836414051.84652003429-410.846520034286
6927942976.25565874145-182.255658741448
7030703195.6641803373-125.664180337298
7135764109.96752865424-533.967528654239
7241064120.10908941213-14.1090894121326
7324522411.0934346382540.9065653617513
7422062565.83325039367-359.833250393674
7524882967.17985017809-479.179850178092
7624162732.91512682599-316.915126825987
7725343063.25844701153-529.258447011527
7825212592.80590968855-71.8059096885477
7930932761.03069836954331.969301630463
8039033587.54827993655315.451720063454
8129072731.51055778802175.489442211976
8230252996.8188250263728.1811749736344
8338123745.1247570911166.8752429088913
8442093998.77225601464210.227743985358
8521382370.78136571911-232.781365719107
8624192346.4911156105572.5088843894537
8726222748.24707257249-126.247072572492
8829122612.28682428414299.713175715859
8927082951.40556406562-243.405564065621
9027982668.29987289974129.700127100261
9132543019.19011307488234.809886925117
9228953865.68067176837-970.680671768369
9332632796.88139101464466.11860898536
9437363050.67837743679685.32162256321
9540773930.09579268135146.904207318653
9640974260.61214200891-163.612142008913
9721752370.09476451141-195.094764511410
9831382462.10353020859675.896469791409
9928232897.51364926012-74.5136492601241
10024982921.0046531891-423.004653189102
10128222987.33156401831-165.331564018306
10227382839.60962813127-101.609628131268
10341373211.91206070021925.087939299788
10435153745.42172085299-230.421720852994
10537853229.25825010295555.741749897047
10636323595.6000644755436.3999355244632
10745044252.58830194226251.411698057742
10844514508.37179926193-57.371799261935
10925502479.8838968395070.1161031604966
11028672942.10319674560-75.1031967456047
11134583030.20757497546427.792425024544
11229612989.72167044481-28.721670444806
11331633220.0325901477-57.0325901477031
11428803102.55515167413-222.555151674134
11533313884.91532425601-553.915324256011
11630623833.51846524582-771.518465245816
11735343510.4568725639523.5431274360490
11836223627.27895277377-5.27895277376638
11944644351.11716344243112.882836557567
12054114477.1798134772933.820186522797
12125642566.22711446184-2.22711446184394
12228202976.15993397383-156.159933973829
12335083228.6427094204279.357290579596
12430883006.7294578592381.2705421407677
12532993242.1041844751356.8958155248692
12629393076.46546889192-137.465468891921
12733203764.05441973576-444.054419735764
12834183641.60513083321-223.605130833205
12936043665.57747841546-61.5774784154555
13034953766.41245680783-271.412456807835
13141634520.02156947913-357.021569479127
13248824867.2744251769814.7255748230182
13322112536.96871678841-325.968716788407
13432602838.13414611879421.865853881208
13529923307.93248574866-315.932485748664
13624252946.79597039393-521.795970393925
13727073078.9868118905-371.986811890501
13832442801.0461047987442.953895201298
13939653414.55101211349550.448987886507
14033153488.27560299426-173.275602994259
14133333568.63999532627-235.639995326266
14235833568.6246357687914.3753642312063
14340214308.7316226438-287.731622643799
14449044779.49838278938124.501617210616
14522522380.83043525035-128.830435250346
14629522956.79252418115-4.79252418114993
14735733108.42207819868464.577921801324
14830482768.10331782691279.896682173094
14930593062.74851001720-3.74851001720481
15027313117.22529966795-386.225299667947
15135633672.98295548228-109.982955482281
15230923412.31752853798-320.317528537983
15334783448.9626831543029.0373168456954
15434783567.29143929519-89.2914392951898
15543084183.54837152876124.451628471235
15650294852.26900531843176.730994681573
15720752353.25703410054-278.257034100538
15832642952.15085465155311.849145348455
15933083307.369685730340.630314269658811
16036882845.26743863561842.73256136439
16131363115.7993938880620.2006061119350
16228243038.10125461901-214.101254619015
16336443731.10337236326-87.1033723632554
16446943392.186426996101301.81357300390
16529143779.56839876408-865.568398764083
16636863754.58016790621-68.5801679062129
16743584497.78163549096-139.781635490962
16855875195.1997465914391.800253408599
16922652399.6679296203-134.667929620299
17036853285.41328892342399.586711076584
17137543565.51555948623188.484440513767
17237083399.09318361850308.906816381505
17332103314.01229927252-104.012299272516
17435173132.59718815175384.40281184825
17539054014.20649785714-109.206497857137







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1764150.792357352693825.371899711894476.21281499348
1773596.69044430163262.278260218483931.10262838472
1783984.292959237123633.163603647154335.4223148271
1794767.632692054724388.793099474955146.47228463448
1805740.432687253715322.214883952016158.65049055542
1812512.611254425702164.261154690422860.96135416099
1823684.409279696763287.087959516624081.73059987691
1833852.980200942083435.381011692494270.57939019167
1843697.094233115853273.38963303044120.79883320131
1853419.12031846232996.208036439223842.03260048538
1863418.728568267152982.36543349573855.0917030386
1874101.19798523773727.298191225414475.09777925

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
176 & 4150.79235735269 & 3825.37189971189 & 4476.21281499348 \tabularnewline
177 & 3596.6904443016 & 3262.27826021848 & 3931.10262838472 \tabularnewline
178 & 3984.29295923712 & 3633.16360364715 & 4335.4223148271 \tabularnewline
179 & 4767.63269205472 & 4388.79309947495 & 5146.47228463448 \tabularnewline
180 & 5740.43268725371 & 5322.21488395201 & 6158.65049055542 \tabularnewline
181 & 2512.61125442570 & 2164.26115469042 & 2860.96135416099 \tabularnewline
182 & 3684.40927969676 & 3287.08795951662 & 4081.73059987691 \tabularnewline
183 & 3852.98020094208 & 3435.38101169249 & 4270.57939019167 \tabularnewline
184 & 3697.09423311585 & 3273.3896330304 & 4120.79883320131 \tabularnewline
185 & 3419.1203184623 & 2996.20803643922 & 3842.03260048538 \tabularnewline
186 & 3418.72856826715 & 2982.3654334957 & 3855.0917030386 \tabularnewline
187 & 4101.1979852377 & 3727.29819122541 & 4475.09777925 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77366&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]176[/C][C]4150.79235735269[/C][C]3825.37189971189[/C][C]4476.21281499348[/C][/ROW]
[ROW][C]177[/C][C]3596.6904443016[/C][C]3262.27826021848[/C][C]3931.10262838472[/C][/ROW]
[ROW][C]178[/C][C]3984.29295923712[/C][C]3633.16360364715[/C][C]4335.4223148271[/C][/ROW]
[ROW][C]179[/C][C]4767.63269205472[/C][C]4388.79309947495[/C][C]5146.47228463448[/C][/ROW]
[ROW][C]180[/C][C]5740.43268725371[/C][C]5322.21488395201[/C][C]6158.65049055542[/C][/ROW]
[ROW][C]181[/C][C]2512.61125442570[/C][C]2164.26115469042[/C][C]2860.96135416099[/C][/ROW]
[ROW][C]182[/C][C]3684.40927969676[/C][C]3287.08795951662[/C][C]4081.73059987691[/C][/ROW]
[ROW][C]183[/C][C]3852.98020094208[/C][C]3435.38101169249[/C][C]4270.57939019167[/C][/ROW]
[ROW][C]184[/C][C]3697.09423311585[/C][C]3273.3896330304[/C][C]4120.79883320131[/C][/ROW]
[ROW][C]185[/C][C]3419.1203184623[/C][C]2996.20803643922[/C][C]3842.03260048538[/C][/ROW]
[ROW][C]186[/C][C]3418.72856826715[/C][C]2982.3654334957[/C][C]3855.0917030386[/C][/ROW]
[ROW][C]187[/C][C]4101.1979852377[/C][C]3727.29819122541[/C][C]4475.09777925[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77366&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77366&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
1764150.792357352693825.371899711894476.21281499348
1773596.69044430163262.278260218483931.10262838472
1783984.292959237123633.163603647154335.4223148271
1794767.632692054724388.793099474955146.47228463448
1805740.432687253715322.214883952016158.65049055542
1812512.611254425702164.261154690422860.96135416099
1823684.409279696763287.087959516624081.73059987691
1833852.980200942083435.381011692494270.57939019167
1843697.094233115853273.38963303044120.79883320131
1853419.12031846232996.208036439223842.03260048538
1863418.728568267152982.36543349573855.0917030386
1874101.19798523773727.298191225414475.09777925



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