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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 computationSun, 06 Jun 2010 11:51:41 +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/06/t1275825198pehuua0hci336q7.htm/, Retrieved Sun, 28 Apr 2024 05:34:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77664, Retrieved Sun, 28 Apr 2024 05:34:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact133
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-06-06 11:51:41] [ed2dbf507cd6f620c6fb9fcab91c23a9] [Current]
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Dataseries X:
1954
2302
3054
2414
2226
2725
2589
3470
2400
3180
4009
3924
2072
2434
2956
2828
2687
2629
3150
4119
3030
3055
3821
4001
2529
2472
3134
2789
2758
2993
3282
3437
2804
3076
3782
3889
2271
2452
3084
2522
2769
3438
2839
3746
2632
2851
3871
3618
2389
2344
2678
2492
2858
2246
2800
3869
3007
3023
3907
4209
2353
2570
2903
2910
3782
2759
2931
3641
2794
3070
3576
4106
2452
2206
2488
2416
2534
2521
3093
3903
2907
3025
3812
4209
2138
2419
2622
2912
2708
2798
3254
2895
3263
3736
4077
4097
2175
3138
2823
2498
2822
2738
4137
3515
3785
3632
4504
4451
2550
2867
3458
2961
3163
2880
3331
3062
3534
3622
4464
5411
2564
2820
3508
3088
3299
2939
3320
3418
3604
3495
4163
4882
2211
3260
2992
2425
2707
3244
3965
3315
3333
3583
4021
4904
2252
2952
3573
3048
3059
2731
3563
3092
3478
3478
4308
5029
2075
3264
3308
3688
3136
2824
3644
4694
2914
3686
4358
5587
2265
3685
3754
3708
3210
3517
3905
3670
4221
4404
5086
5725
2367
3819
4067
4022
3937
4365
4290




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77664&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77664&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77664&T=0

As an alternative you can also use a QR Code:  

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

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







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.124155812050704
beta0.0536097781034414
gamma0.356465314077196

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.124155812050704 \tabularnewline
beta & 0.0536097781034414 \tabularnewline
gamma & 0.356465314077196 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77664&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]0.124155812050704[/C][/ROW]
[ROW][C]beta[/C][C]0.0536097781034414[/C][/ROW]
[ROW][C]gamma[/C][C]0.356465314077196[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77664&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77664&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
alpha0.124155812050704
beta0.0536097781034414
gamma0.356465314077196







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1320722006.6844025824765.3155974175252
1424342346.5132786772687.4867213227371
1529562836.92741456618119.072585433819
1628282733.0177509360594.9822490639458
1726872642.0105324220544.9894675779456
1826292617.1525680335511.8474319664538
1931502786.13241341801363.867586581986
2041193816.43640110982302.563598890181
2130302690.17525022614339.824749773859
2230553640.99875004146-585.998750041461
2338214483.67975777213-662.679757772129
2440014321.76779125718-320.76779125718
2525292286.85990746329242.140092536712
2624722702.55848685276-230.558486852761
2731343220.58021592353-86.580215923529
2827893066.4813098099-277.481309809904
2927582897.77276404329-139.772764043287
3029932830.57717652293162.422823477075
3132823145.0765775793136.923422420702
3234374189.4568929726-752.456892972604
3328042888.78923666848-84.7892366684832
3430763487.56067145411-411.560671454114
3537824319.73779541977-537.73779541977
3638894262.51394493951-373.513944939512
3722712371.24121826183-100.241218261831
3824522580.17404194888-128.174041948881
3930843132.66698735364-48.6669873536439
4025222913.08527278898-391.085272788984
4127692762.200479181356.79952081864849
4234382793.52873253637644.471267463632
4328393146.42547274745-307.425472747449
4437463814.28307101164-68.2830710116427
4526322812.27343210227-180.273432102267
4628513273.20390376262-422.203903762625
4738714025.83722224876-154.837222248764
4836184053.04567994648-435.045679946483
4923892275.37685166451113.623148335492
5023442492.20793929224-148.207939292241
5126783047.34185997103-369.341859971025
5224922681.60552468653-189.60552468653
5328582671.59250627004186.407493729958
5422462905.95801327411-659.958013274107
5528002785.5246452404214.4753547595806
5638693493.0534495958375.946550404201
5730072567.30721656218439.692783437817
5830233003.9005854410919.099414558912
5939073865.108124093541.8918759065036
6042093823.99797686431385.002023135691
6123532316.278371657936.7216283420994
6225702441.24990062065128.750099379351
6329032968.28129281068-65.281292810675
6429102692.85915208029217.140847919707
6537822863.13365363441918.866346365593
6627592924.79122102555-165.791221025547
6729313110.89015621442-179.890156214422
6836414011.18604398834-370.186043988338
6927942939.23060426681-145.230604266809
7030703192.69618549742-122.696185497422
7135764097.51371871536-521.513718715363
7241064097.28662560228.71337439780109
7324522389.9030743126762.0969256873268
7422062551.00115020026-345.001150200264
7524882957.24765734082-469.247657340819
7624162716.1453476335-300.1453476335
7725343006.6231439636-472.623143963604
7825212577.90875343057-56.9087534305713
7930932735.82123433235357.17876566765
8039033552.85181776422350.14818223578
8129072693.33987981612213.660120183878
8230252974.7843463684450.215653631556
8338123724.9226037971187.0773962028907
8442093952.10928369196256.890716308043
8521382338.05063021236-200.050630212359
8624192332.4870384469286.5129615530768
8726222739.15511764967-117.155117649666
8829122595.00556722172316.994432778283
8927082915.50992618349-207.509926183486
9027982648.01182325873149.988176741274
9132542980.73482507422273.26517492578
9228953826.48267808477-931.482678084767
9332632764.04124349259498.958756507412
9437363035.59455896144700.405441038556
9540773918.67572839792158.32427160208
9640974229.81376411947-132.813764119465
9721752362.58427851089-187.584278510886
9831382456.68665562647681.31334437353
9928232907.03370140944-84.0337014094366
10024982911.35163174407-413.351631744071
10128222987.31679939038-165.316799390376
10227382834.91846173159-96.9184617315932
10341373192.55079473644944.449205263558
10435153774.56389739263-259.563897392635
10537853202.96659666942582.033403330578
10636323580.6436868980751.3563131019318
10745044268.98814790624235.011852093761
10844514524.27661165067-73.2766116506718
10925502498.7877791349251.2122208650844
11028672932.91430405926-65.9143040592608
11134583062.53179323574395.468206764261
11229613019.71213819939-58.7121381993943
11331633246.88031500576-83.8803150057574
11428803122.87638257488-242.876382574884
11533313860.99203964259-529.992039642589
11630623887.90037925996-825.900379259963
11735343491.8792939578842.1207060421179
11836223631.18281892709-9.18281892708637
11944644365.2584286550998.741571344909
12054114497.29671399659913.70328600341
12125642578.74666514878-14.7466651487766
12228202973.61356528424-153.613565284244
12335083235.34530925175272.654690748249
12430883028.5239945348159.4760054651888
12532993261.619310428737.380689571296
12629393096.40155017272-157.401550172723
12733203763.0008003276-443.000800327601
12834183698.63033380649-280.63033380649
12936043641.11081164881-37.1108116488108
13034953758.97660881577-263.976608815771
13141634514.24377669472-351.243776694721
13248824837.9637185938644.0362814061373
13322112540.77422478325-329.774224783253
13432602834.20922019999425.790779800008
13529923291.53208341414-299.532083414142
13624252947.75341414884-522.753414148842
13727073076.47183036255-369.471830362551
13832442802.82297760127441.177022398728
13939653406.54928212812558.450717871879
14033153508.84602973994-193.84602973994
14133333530.68986793644-197.689867936445
14235833548.2205293696134.7794706303889
14340214286.81707791326-265.817077913255
14449044725.84302036935178.156979630648
14522522378.47203106419-126.472031064187
14629522920.4679202587131.5320797412887
14735733090.73098727129482.269012728707
14830482771.92875568447276.071244315528
14930593059.25805954162-0.258059541619787
15027313091.30730850174-360.307308501737
15135633641.73775166279-78.7377516627898
15230923429.39323341164-337.393233411637
15334783429.0466596514348.9533403485739
15434783548.78189383512-70.7818938351211
15543084173.95287106012134.047128939877
15650294805.03432873576223.965671264239
15720752353.67458243103-278.674582431029
15832642924.5783086329339.421691367099
15933083276.1280067107131.871993289285
16036882837.66307234422850.336927655776
16131363115.6419104918120.3580895081859
16228243037.35125485931-213.351254859309
16336443716.26649725859-72.266497258589
16446943418.999136780261275.00086321974
16529143769.78903114743-855.789031147428
16636863754.3729589265-68.3729589265013
16743584500.77949409156-142.779494091558
16855875174.72277018426412.277229815739
16922652420.543607665-155.543607665001
17036853267.76220937619417.237790623808
17137543560.15730416595193.842695834053
17237083380.71195611707327.288043882932
17332103334.76665479184-124.76665479184
17435173159.97382358561357.026176414389
17539054030.43434869364-125.434348693638
17636704150.38515686925-480.385156869245
17742213594.50268454086626.497315459143
17844044044.38453469562359.615465304384
17950864905.08847376223180.911526237766
18057255904.43843243454-179.438432434537
18123672611.3595157129-244.359515712898
18238193733.6999859386485.3000140613608
18340673935.14530520931131.854694790689
18440223779.80711914581242.192880854191
18539373567.46347861794369.536521382058
18643653608.92975057157756.070249428426
18742904467.98885562927-177.988855629271

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2072 & 2006.68440258247 & 65.3155974175252 \tabularnewline
14 & 2434 & 2346.51327867726 & 87.4867213227371 \tabularnewline
15 & 2956 & 2836.92741456618 & 119.072585433819 \tabularnewline
16 & 2828 & 2733.01775093605 & 94.9822490639458 \tabularnewline
17 & 2687 & 2642.01053242205 & 44.9894675779456 \tabularnewline
18 & 2629 & 2617.15256803355 & 11.8474319664538 \tabularnewline
19 & 3150 & 2786.13241341801 & 363.867586581986 \tabularnewline
20 & 4119 & 3816.43640110982 & 302.563598890181 \tabularnewline
21 & 3030 & 2690.17525022614 & 339.824749773859 \tabularnewline
22 & 3055 & 3640.99875004146 & -585.998750041461 \tabularnewline
23 & 3821 & 4483.67975777213 & -662.679757772129 \tabularnewline
24 & 4001 & 4321.76779125718 & -320.76779125718 \tabularnewline
25 & 2529 & 2286.85990746329 & 242.140092536712 \tabularnewline
26 & 2472 & 2702.55848685276 & -230.558486852761 \tabularnewline
27 & 3134 & 3220.58021592353 & -86.580215923529 \tabularnewline
28 & 2789 & 3066.4813098099 & -277.481309809904 \tabularnewline
29 & 2758 & 2897.77276404329 & -139.772764043287 \tabularnewline
30 & 2993 & 2830.57717652293 & 162.422823477075 \tabularnewline
31 & 3282 & 3145.0765775793 & 136.923422420702 \tabularnewline
32 & 3437 & 4189.4568929726 & -752.456892972604 \tabularnewline
33 & 2804 & 2888.78923666848 & -84.7892366684832 \tabularnewline
34 & 3076 & 3487.56067145411 & -411.560671454114 \tabularnewline
35 & 3782 & 4319.73779541977 & -537.73779541977 \tabularnewline
36 & 3889 & 4262.51394493951 & -373.513944939512 \tabularnewline
37 & 2271 & 2371.24121826183 & -100.241218261831 \tabularnewline
38 & 2452 & 2580.17404194888 & -128.174041948881 \tabularnewline
39 & 3084 & 3132.66698735364 & -48.6669873536439 \tabularnewline
40 & 2522 & 2913.08527278898 & -391.085272788984 \tabularnewline
41 & 2769 & 2762.20047918135 & 6.79952081864849 \tabularnewline
42 & 3438 & 2793.52873253637 & 644.471267463632 \tabularnewline
43 & 2839 & 3146.42547274745 & -307.425472747449 \tabularnewline
44 & 3746 & 3814.28307101164 & -68.2830710116427 \tabularnewline
45 & 2632 & 2812.27343210227 & -180.273432102267 \tabularnewline
46 & 2851 & 3273.20390376262 & -422.203903762625 \tabularnewline
47 & 3871 & 4025.83722224876 & -154.837222248764 \tabularnewline
48 & 3618 & 4053.04567994648 & -435.045679946483 \tabularnewline
49 & 2389 & 2275.37685166451 & 113.623148335492 \tabularnewline
50 & 2344 & 2492.20793929224 & -148.207939292241 \tabularnewline
51 & 2678 & 3047.34185997103 & -369.341859971025 \tabularnewline
52 & 2492 & 2681.60552468653 & -189.60552468653 \tabularnewline
53 & 2858 & 2671.59250627004 & 186.407493729958 \tabularnewline
54 & 2246 & 2905.95801327411 & -659.958013274107 \tabularnewline
55 & 2800 & 2785.52464524042 & 14.4753547595806 \tabularnewline
56 & 3869 & 3493.0534495958 & 375.946550404201 \tabularnewline
57 & 3007 & 2567.30721656218 & 439.692783437817 \tabularnewline
58 & 3023 & 3003.90058544109 & 19.099414558912 \tabularnewline
59 & 3907 & 3865.1081240935 & 41.8918759065036 \tabularnewline
60 & 4209 & 3823.99797686431 & 385.002023135691 \tabularnewline
61 & 2353 & 2316.2783716579 & 36.7216283420994 \tabularnewline
62 & 2570 & 2441.24990062065 & 128.750099379351 \tabularnewline
63 & 2903 & 2968.28129281068 & -65.281292810675 \tabularnewline
64 & 2910 & 2692.85915208029 & 217.140847919707 \tabularnewline
65 & 3782 & 2863.13365363441 & 918.866346365593 \tabularnewline
66 & 2759 & 2924.79122102555 & -165.791221025547 \tabularnewline
67 & 2931 & 3110.89015621442 & -179.890156214422 \tabularnewline
68 & 3641 & 4011.18604398834 & -370.186043988338 \tabularnewline
69 & 2794 & 2939.23060426681 & -145.230604266809 \tabularnewline
70 & 3070 & 3192.69618549742 & -122.696185497422 \tabularnewline
71 & 3576 & 4097.51371871536 & -521.513718715363 \tabularnewline
72 & 4106 & 4097.2866256022 & 8.71337439780109 \tabularnewline
73 & 2452 & 2389.90307431267 & 62.0969256873268 \tabularnewline
74 & 2206 & 2551.00115020026 & -345.001150200264 \tabularnewline
75 & 2488 & 2957.24765734082 & -469.247657340819 \tabularnewline
76 & 2416 & 2716.1453476335 & -300.1453476335 \tabularnewline
77 & 2534 & 3006.6231439636 & -472.623143963604 \tabularnewline
78 & 2521 & 2577.90875343057 & -56.9087534305713 \tabularnewline
79 & 3093 & 2735.82123433235 & 357.17876566765 \tabularnewline
80 & 3903 & 3552.85181776422 & 350.14818223578 \tabularnewline
81 & 2907 & 2693.33987981612 & 213.660120183878 \tabularnewline
82 & 3025 & 2974.78434636844 & 50.215653631556 \tabularnewline
83 & 3812 & 3724.92260379711 & 87.0773962028907 \tabularnewline
84 & 4209 & 3952.10928369196 & 256.890716308043 \tabularnewline
85 & 2138 & 2338.05063021236 & -200.050630212359 \tabularnewline
86 & 2419 & 2332.48703844692 & 86.5129615530768 \tabularnewline
87 & 2622 & 2739.15511764967 & -117.155117649666 \tabularnewline
88 & 2912 & 2595.00556722172 & 316.994432778283 \tabularnewline
89 & 2708 & 2915.50992618349 & -207.509926183486 \tabularnewline
90 & 2798 & 2648.01182325873 & 149.988176741274 \tabularnewline
91 & 3254 & 2980.73482507422 & 273.26517492578 \tabularnewline
92 & 2895 & 3826.48267808477 & -931.482678084767 \tabularnewline
93 & 3263 & 2764.04124349259 & 498.958756507412 \tabularnewline
94 & 3736 & 3035.59455896144 & 700.405441038556 \tabularnewline
95 & 4077 & 3918.67572839792 & 158.32427160208 \tabularnewline
96 & 4097 & 4229.81376411947 & -132.813764119465 \tabularnewline
97 & 2175 & 2362.58427851089 & -187.584278510886 \tabularnewline
98 & 3138 & 2456.68665562647 & 681.31334437353 \tabularnewline
99 & 2823 & 2907.03370140944 & -84.0337014094366 \tabularnewline
100 & 2498 & 2911.35163174407 & -413.351631744071 \tabularnewline
101 & 2822 & 2987.31679939038 & -165.316799390376 \tabularnewline
102 & 2738 & 2834.91846173159 & -96.9184617315932 \tabularnewline
103 & 4137 & 3192.55079473644 & 944.449205263558 \tabularnewline
104 & 3515 & 3774.56389739263 & -259.563897392635 \tabularnewline
105 & 3785 & 3202.96659666942 & 582.033403330578 \tabularnewline
106 & 3632 & 3580.64368689807 & 51.3563131019318 \tabularnewline
107 & 4504 & 4268.98814790624 & 235.011852093761 \tabularnewline
108 & 4451 & 4524.27661165067 & -73.2766116506718 \tabularnewline
109 & 2550 & 2498.78777913492 & 51.2122208650844 \tabularnewline
110 & 2867 & 2932.91430405926 & -65.9143040592608 \tabularnewline
111 & 3458 & 3062.53179323574 & 395.468206764261 \tabularnewline
112 & 2961 & 3019.71213819939 & -58.7121381993943 \tabularnewline
113 & 3163 & 3246.88031500576 & -83.8803150057574 \tabularnewline
114 & 2880 & 3122.87638257488 & -242.876382574884 \tabularnewline
115 & 3331 & 3860.99203964259 & -529.992039642589 \tabularnewline
116 & 3062 & 3887.90037925996 & -825.900379259963 \tabularnewline
117 & 3534 & 3491.87929395788 & 42.1207060421179 \tabularnewline
118 & 3622 & 3631.18281892709 & -9.18281892708637 \tabularnewline
119 & 4464 & 4365.25842865509 & 98.741571344909 \tabularnewline
120 & 5411 & 4497.29671399659 & 913.70328600341 \tabularnewline
121 & 2564 & 2578.74666514878 & -14.7466651487766 \tabularnewline
122 & 2820 & 2973.61356528424 & -153.613565284244 \tabularnewline
123 & 3508 & 3235.34530925175 & 272.654690748249 \tabularnewline
124 & 3088 & 3028.52399453481 & 59.4760054651888 \tabularnewline
125 & 3299 & 3261.6193104287 & 37.380689571296 \tabularnewline
126 & 2939 & 3096.40155017272 & -157.401550172723 \tabularnewline
127 & 3320 & 3763.0008003276 & -443.000800327601 \tabularnewline
128 & 3418 & 3698.63033380649 & -280.63033380649 \tabularnewline
129 & 3604 & 3641.11081164881 & -37.1108116488108 \tabularnewline
130 & 3495 & 3758.97660881577 & -263.976608815771 \tabularnewline
131 & 4163 & 4514.24377669472 & -351.243776694721 \tabularnewline
132 & 4882 & 4837.96371859386 & 44.0362814061373 \tabularnewline
133 & 2211 & 2540.77422478325 & -329.774224783253 \tabularnewline
134 & 3260 & 2834.20922019999 & 425.790779800008 \tabularnewline
135 & 2992 & 3291.53208341414 & -299.532083414142 \tabularnewline
136 & 2425 & 2947.75341414884 & -522.753414148842 \tabularnewline
137 & 2707 & 3076.47183036255 & -369.471830362551 \tabularnewline
138 & 3244 & 2802.82297760127 & 441.177022398728 \tabularnewline
139 & 3965 & 3406.54928212812 & 558.450717871879 \tabularnewline
140 & 3315 & 3508.84602973994 & -193.84602973994 \tabularnewline
141 & 3333 & 3530.68986793644 & -197.689867936445 \tabularnewline
142 & 3583 & 3548.22052936961 & 34.7794706303889 \tabularnewline
143 & 4021 & 4286.81707791326 & -265.817077913255 \tabularnewline
144 & 4904 & 4725.84302036935 & 178.156979630648 \tabularnewline
145 & 2252 & 2378.47203106419 & -126.472031064187 \tabularnewline
146 & 2952 & 2920.46792025871 & 31.5320797412887 \tabularnewline
147 & 3573 & 3090.73098727129 & 482.269012728707 \tabularnewline
148 & 3048 & 2771.92875568447 & 276.071244315528 \tabularnewline
149 & 3059 & 3059.25805954162 & -0.258059541619787 \tabularnewline
150 & 2731 & 3091.30730850174 & -360.307308501737 \tabularnewline
151 & 3563 & 3641.73775166279 & -78.7377516627898 \tabularnewline
152 & 3092 & 3429.39323341164 & -337.393233411637 \tabularnewline
153 & 3478 & 3429.04665965143 & 48.9533403485739 \tabularnewline
154 & 3478 & 3548.78189383512 & -70.7818938351211 \tabularnewline
155 & 4308 & 4173.95287106012 & 134.047128939877 \tabularnewline
156 & 5029 & 4805.03432873576 & 223.965671264239 \tabularnewline
157 & 2075 & 2353.67458243103 & -278.674582431029 \tabularnewline
158 & 3264 & 2924.5783086329 & 339.421691367099 \tabularnewline
159 & 3308 & 3276.12800671071 & 31.871993289285 \tabularnewline
160 & 3688 & 2837.66307234422 & 850.336927655776 \tabularnewline
161 & 3136 & 3115.64191049181 & 20.3580895081859 \tabularnewline
162 & 2824 & 3037.35125485931 & -213.351254859309 \tabularnewline
163 & 3644 & 3716.26649725859 & -72.266497258589 \tabularnewline
164 & 4694 & 3418.99913678026 & 1275.00086321974 \tabularnewline
165 & 2914 & 3769.78903114743 & -855.789031147428 \tabularnewline
166 & 3686 & 3754.3729589265 & -68.3729589265013 \tabularnewline
167 & 4358 & 4500.77949409156 & -142.779494091558 \tabularnewline
168 & 5587 & 5174.72277018426 & 412.277229815739 \tabularnewline
169 & 2265 & 2420.543607665 & -155.543607665001 \tabularnewline
170 & 3685 & 3267.76220937619 & 417.237790623808 \tabularnewline
171 & 3754 & 3560.15730416595 & 193.842695834053 \tabularnewline
172 & 3708 & 3380.71195611707 & 327.288043882932 \tabularnewline
173 & 3210 & 3334.76665479184 & -124.76665479184 \tabularnewline
174 & 3517 & 3159.97382358561 & 357.026176414389 \tabularnewline
175 & 3905 & 4030.43434869364 & -125.434348693638 \tabularnewline
176 & 3670 & 4150.38515686925 & -480.385156869245 \tabularnewline
177 & 4221 & 3594.50268454086 & 626.497315459143 \tabularnewline
178 & 4404 & 4044.38453469562 & 359.615465304384 \tabularnewline
179 & 5086 & 4905.08847376223 & 180.911526237766 \tabularnewline
180 & 5725 & 5904.43843243454 & -179.438432434537 \tabularnewline
181 & 2367 & 2611.3595157129 & -244.359515712898 \tabularnewline
182 & 3819 & 3733.69998593864 & 85.3000140613608 \tabularnewline
183 & 4067 & 3935.14530520931 & 131.854694790689 \tabularnewline
184 & 4022 & 3779.80711914581 & 242.192880854191 \tabularnewline
185 & 3937 & 3567.46347861794 & 369.536521382058 \tabularnewline
186 & 4365 & 3608.92975057157 & 756.070249428426 \tabularnewline
187 & 4290 & 4467.98885562927 & -177.988855629271 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77664&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]2006.68440258247[/C][C]65.3155974175252[/C][/ROW]
[ROW][C]14[/C][C]2434[/C][C]2346.51327867726[/C][C]87.4867213227371[/C][/ROW]
[ROW][C]15[/C][C]2956[/C][C]2836.92741456618[/C][C]119.072585433819[/C][/ROW]
[ROW][C]16[/C][C]2828[/C][C]2733.01775093605[/C][C]94.9822490639458[/C][/ROW]
[ROW][C]17[/C][C]2687[/C][C]2642.01053242205[/C][C]44.9894675779456[/C][/ROW]
[ROW][C]18[/C][C]2629[/C][C]2617.15256803355[/C][C]11.8474319664538[/C][/ROW]
[ROW][C]19[/C][C]3150[/C][C]2786.13241341801[/C][C]363.867586581986[/C][/ROW]
[ROW][C]20[/C][C]4119[/C][C]3816.43640110982[/C][C]302.563598890181[/C][/ROW]
[ROW][C]21[/C][C]3030[/C][C]2690.17525022614[/C][C]339.824749773859[/C][/ROW]
[ROW][C]22[/C][C]3055[/C][C]3640.99875004146[/C][C]-585.998750041461[/C][/ROW]
[ROW][C]23[/C][C]3821[/C][C]4483.67975777213[/C][C]-662.679757772129[/C][/ROW]
[ROW][C]24[/C][C]4001[/C][C]4321.76779125718[/C][C]-320.76779125718[/C][/ROW]
[ROW][C]25[/C][C]2529[/C][C]2286.85990746329[/C][C]242.140092536712[/C][/ROW]
[ROW][C]26[/C][C]2472[/C][C]2702.55848685276[/C][C]-230.558486852761[/C][/ROW]
[ROW][C]27[/C][C]3134[/C][C]3220.58021592353[/C][C]-86.580215923529[/C][/ROW]
[ROW][C]28[/C][C]2789[/C][C]3066.4813098099[/C][C]-277.481309809904[/C][/ROW]
[ROW][C]29[/C][C]2758[/C][C]2897.77276404329[/C][C]-139.772764043287[/C][/ROW]
[ROW][C]30[/C][C]2993[/C][C]2830.57717652293[/C][C]162.422823477075[/C][/ROW]
[ROW][C]31[/C][C]3282[/C][C]3145.0765775793[/C][C]136.923422420702[/C][/ROW]
[ROW][C]32[/C][C]3437[/C][C]4189.4568929726[/C][C]-752.456892972604[/C][/ROW]
[ROW][C]33[/C][C]2804[/C][C]2888.78923666848[/C][C]-84.7892366684832[/C][/ROW]
[ROW][C]34[/C][C]3076[/C][C]3487.56067145411[/C][C]-411.560671454114[/C][/ROW]
[ROW][C]35[/C][C]3782[/C][C]4319.73779541977[/C][C]-537.73779541977[/C][/ROW]
[ROW][C]36[/C][C]3889[/C][C]4262.51394493951[/C][C]-373.513944939512[/C][/ROW]
[ROW][C]37[/C][C]2271[/C][C]2371.24121826183[/C][C]-100.241218261831[/C][/ROW]
[ROW][C]38[/C][C]2452[/C][C]2580.17404194888[/C][C]-128.174041948881[/C][/ROW]
[ROW][C]39[/C][C]3084[/C][C]3132.66698735364[/C][C]-48.6669873536439[/C][/ROW]
[ROW][C]40[/C][C]2522[/C][C]2913.08527278898[/C][C]-391.085272788984[/C][/ROW]
[ROW][C]41[/C][C]2769[/C][C]2762.20047918135[/C][C]6.79952081864849[/C][/ROW]
[ROW][C]42[/C][C]3438[/C][C]2793.52873253637[/C][C]644.471267463632[/C][/ROW]
[ROW][C]43[/C][C]2839[/C][C]3146.42547274745[/C][C]-307.425472747449[/C][/ROW]
[ROW][C]44[/C][C]3746[/C][C]3814.28307101164[/C][C]-68.2830710116427[/C][/ROW]
[ROW][C]45[/C][C]2632[/C][C]2812.27343210227[/C][C]-180.273432102267[/C][/ROW]
[ROW][C]46[/C][C]2851[/C][C]3273.20390376262[/C][C]-422.203903762625[/C][/ROW]
[ROW][C]47[/C][C]3871[/C][C]4025.83722224876[/C][C]-154.837222248764[/C][/ROW]
[ROW][C]48[/C][C]3618[/C][C]4053.04567994648[/C][C]-435.045679946483[/C][/ROW]
[ROW][C]49[/C][C]2389[/C][C]2275.37685166451[/C][C]113.623148335492[/C][/ROW]
[ROW][C]50[/C][C]2344[/C][C]2492.20793929224[/C][C]-148.207939292241[/C][/ROW]
[ROW][C]51[/C][C]2678[/C][C]3047.34185997103[/C][C]-369.341859971025[/C][/ROW]
[ROW][C]52[/C][C]2492[/C][C]2681.60552468653[/C][C]-189.60552468653[/C][/ROW]
[ROW][C]53[/C][C]2858[/C][C]2671.59250627004[/C][C]186.407493729958[/C][/ROW]
[ROW][C]54[/C][C]2246[/C][C]2905.95801327411[/C][C]-659.958013274107[/C][/ROW]
[ROW][C]55[/C][C]2800[/C][C]2785.52464524042[/C][C]14.4753547595806[/C][/ROW]
[ROW][C]56[/C][C]3869[/C][C]3493.0534495958[/C][C]375.946550404201[/C][/ROW]
[ROW][C]57[/C][C]3007[/C][C]2567.30721656218[/C][C]439.692783437817[/C][/ROW]
[ROW][C]58[/C][C]3023[/C][C]3003.90058544109[/C][C]19.099414558912[/C][/ROW]
[ROW][C]59[/C][C]3907[/C][C]3865.1081240935[/C][C]41.8918759065036[/C][/ROW]
[ROW][C]60[/C][C]4209[/C][C]3823.99797686431[/C][C]385.002023135691[/C][/ROW]
[ROW][C]61[/C][C]2353[/C][C]2316.2783716579[/C][C]36.7216283420994[/C][/ROW]
[ROW][C]62[/C][C]2570[/C][C]2441.24990062065[/C][C]128.750099379351[/C][/ROW]
[ROW][C]63[/C][C]2903[/C][C]2968.28129281068[/C][C]-65.281292810675[/C][/ROW]
[ROW][C]64[/C][C]2910[/C][C]2692.85915208029[/C][C]217.140847919707[/C][/ROW]
[ROW][C]65[/C][C]3782[/C][C]2863.13365363441[/C][C]918.866346365593[/C][/ROW]
[ROW][C]66[/C][C]2759[/C][C]2924.79122102555[/C][C]-165.791221025547[/C][/ROW]
[ROW][C]67[/C][C]2931[/C][C]3110.89015621442[/C][C]-179.890156214422[/C][/ROW]
[ROW][C]68[/C][C]3641[/C][C]4011.18604398834[/C][C]-370.186043988338[/C][/ROW]
[ROW][C]69[/C][C]2794[/C][C]2939.23060426681[/C][C]-145.230604266809[/C][/ROW]
[ROW][C]70[/C][C]3070[/C][C]3192.69618549742[/C][C]-122.696185497422[/C][/ROW]
[ROW][C]71[/C][C]3576[/C][C]4097.51371871536[/C][C]-521.513718715363[/C][/ROW]
[ROW][C]72[/C][C]4106[/C][C]4097.2866256022[/C][C]8.71337439780109[/C][/ROW]
[ROW][C]73[/C][C]2452[/C][C]2389.90307431267[/C][C]62.0969256873268[/C][/ROW]
[ROW][C]74[/C][C]2206[/C][C]2551.00115020026[/C][C]-345.001150200264[/C][/ROW]
[ROW][C]75[/C][C]2488[/C][C]2957.24765734082[/C][C]-469.247657340819[/C][/ROW]
[ROW][C]76[/C][C]2416[/C][C]2716.1453476335[/C][C]-300.1453476335[/C][/ROW]
[ROW][C]77[/C][C]2534[/C][C]3006.6231439636[/C][C]-472.623143963604[/C][/ROW]
[ROW][C]78[/C][C]2521[/C][C]2577.90875343057[/C][C]-56.9087534305713[/C][/ROW]
[ROW][C]79[/C][C]3093[/C][C]2735.82123433235[/C][C]357.17876566765[/C][/ROW]
[ROW][C]80[/C][C]3903[/C][C]3552.85181776422[/C][C]350.14818223578[/C][/ROW]
[ROW][C]81[/C][C]2907[/C][C]2693.33987981612[/C][C]213.660120183878[/C][/ROW]
[ROW][C]82[/C][C]3025[/C][C]2974.78434636844[/C][C]50.215653631556[/C][/ROW]
[ROW][C]83[/C][C]3812[/C][C]3724.92260379711[/C][C]87.0773962028907[/C][/ROW]
[ROW][C]84[/C][C]4209[/C][C]3952.10928369196[/C][C]256.890716308043[/C][/ROW]
[ROW][C]85[/C][C]2138[/C][C]2338.05063021236[/C][C]-200.050630212359[/C][/ROW]
[ROW][C]86[/C][C]2419[/C][C]2332.48703844692[/C][C]86.5129615530768[/C][/ROW]
[ROW][C]87[/C][C]2622[/C][C]2739.15511764967[/C][C]-117.155117649666[/C][/ROW]
[ROW][C]88[/C][C]2912[/C][C]2595.00556722172[/C][C]316.994432778283[/C][/ROW]
[ROW][C]89[/C][C]2708[/C][C]2915.50992618349[/C][C]-207.509926183486[/C][/ROW]
[ROW][C]90[/C][C]2798[/C][C]2648.01182325873[/C][C]149.988176741274[/C][/ROW]
[ROW][C]91[/C][C]3254[/C][C]2980.73482507422[/C][C]273.26517492578[/C][/ROW]
[ROW][C]92[/C][C]2895[/C][C]3826.48267808477[/C][C]-931.482678084767[/C][/ROW]
[ROW][C]93[/C][C]3263[/C][C]2764.04124349259[/C][C]498.958756507412[/C][/ROW]
[ROW][C]94[/C][C]3736[/C][C]3035.59455896144[/C][C]700.405441038556[/C][/ROW]
[ROW][C]95[/C][C]4077[/C][C]3918.67572839792[/C][C]158.32427160208[/C][/ROW]
[ROW][C]96[/C][C]4097[/C][C]4229.81376411947[/C][C]-132.813764119465[/C][/ROW]
[ROW][C]97[/C][C]2175[/C][C]2362.58427851089[/C][C]-187.584278510886[/C][/ROW]
[ROW][C]98[/C][C]3138[/C][C]2456.68665562647[/C][C]681.31334437353[/C][/ROW]
[ROW][C]99[/C][C]2823[/C][C]2907.03370140944[/C][C]-84.0337014094366[/C][/ROW]
[ROW][C]100[/C][C]2498[/C][C]2911.35163174407[/C][C]-413.351631744071[/C][/ROW]
[ROW][C]101[/C][C]2822[/C][C]2987.31679939038[/C][C]-165.316799390376[/C][/ROW]
[ROW][C]102[/C][C]2738[/C][C]2834.91846173159[/C][C]-96.9184617315932[/C][/ROW]
[ROW][C]103[/C][C]4137[/C][C]3192.55079473644[/C][C]944.449205263558[/C][/ROW]
[ROW][C]104[/C][C]3515[/C][C]3774.56389739263[/C][C]-259.563897392635[/C][/ROW]
[ROW][C]105[/C][C]3785[/C][C]3202.96659666942[/C][C]582.033403330578[/C][/ROW]
[ROW][C]106[/C][C]3632[/C][C]3580.64368689807[/C][C]51.3563131019318[/C][/ROW]
[ROW][C]107[/C][C]4504[/C][C]4268.98814790624[/C][C]235.011852093761[/C][/ROW]
[ROW][C]108[/C][C]4451[/C][C]4524.27661165067[/C][C]-73.2766116506718[/C][/ROW]
[ROW][C]109[/C][C]2550[/C][C]2498.78777913492[/C][C]51.2122208650844[/C][/ROW]
[ROW][C]110[/C][C]2867[/C][C]2932.91430405926[/C][C]-65.9143040592608[/C][/ROW]
[ROW][C]111[/C][C]3458[/C][C]3062.53179323574[/C][C]395.468206764261[/C][/ROW]
[ROW][C]112[/C][C]2961[/C][C]3019.71213819939[/C][C]-58.7121381993943[/C][/ROW]
[ROW][C]113[/C][C]3163[/C][C]3246.88031500576[/C][C]-83.8803150057574[/C][/ROW]
[ROW][C]114[/C][C]2880[/C][C]3122.87638257488[/C][C]-242.876382574884[/C][/ROW]
[ROW][C]115[/C][C]3331[/C][C]3860.99203964259[/C][C]-529.992039642589[/C][/ROW]
[ROW][C]116[/C][C]3062[/C][C]3887.90037925996[/C][C]-825.900379259963[/C][/ROW]
[ROW][C]117[/C][C]3534[/C][C]3491.87929395788[/C][C]42.1207060421179[/C][/ROW]
[ROW][C]118[/C][C]3622[/C][C]3631.18281892709[/C][C]-9.18281892708637[/C][/ROW]
[ROW][C]119[/C][C]4464[/C][C]4365.25842865509[/C][C]98.741571344909[/C][/ROW]
[ROW][C]120[/C][C]5411[/C][C]4497.29671399659[/C][C]913.70328600341[/C][/ROW]
[ROW][C]121[/C][C]2564[/C][C]2578.74666514878[/C][C]-14.7466651487766[/C][/ROW]
[ROW][C]122[/C][C]2820[/C][C]2973.61356528424[/C][C]-153.613565284244[/C][/ROW]
[ROW][C]123[/C][C]3508[/C][C]3235.34530925175[/C][C]272.654690748249[/C][/ROW]
[ROW][C]124[/C][C]3088[/C][C]3028.52399453481[/C][C]59.4760054651888[/C][/ROW]
[ROW][C]125[/C][C]3299[/C][C]3261.6193104287[/C][C]37.380689571296[/C][/ROW]
[ROW][C]126[/C][C]2939[/C][C]3096.40155017272[/C][C]-157.401550172723[/C][/ROW]
[ROW][C]127[/C][C]3320[/C][C]3763.0008003276[/C][C]-443.000800327601[/C][/ROW]
[ROW][C]128[/C][C]3418[/C][C]3698.63033380649[/C][C]-280.63033380649[/C][/ROW]
[ROW][C]129[/C][C]3604[/C][C]3641.11081164881[/C][C]-37.1108116488108[/C][/ROW]
[ROW][C]130[/C][C]3495[/C][C]3758.97660881577[/C][C]-263.976608815771[/C][/ROW]
[ROW][C]131[/C][C]4163[/C][C]4514.24377669472[/C][C]-351.243776694721[/C][/ROW]
[ROW][C]132[/C][C]4882[/C][C]4837.96371859386[/C][C]44.0362814061373[/C][/ROW]
[ROW][C]133[/C][C]2211[/C][C]2540.77422478325[/C][C]-329.774224783253[/C][/ROW]
[ROW][C]134[/C][C]3260[/C][C]2834.20922019999[/C][C]425.790779800008[/C][/ROW]
[ROW][C]135[/C][C]2992[/C][C]3291.53208341414[/C][C]-299.532083414142[/C][/ROW]
[ROW][C]136[/C][C]2425[/C][C]2947.75341414884[/C][C]-522.753414148842[/C][/ROW]
[ROW][C]137[/C][C]2707[/C][C]3076.47183036255[/C][C]-369.471830362551[/C][/ROW]
[ROW][C]138[/C][C]3244[/C][C]2802.82297760127[/C][C]441.177022398728[/C][/ROW]
[ROW][C]139[/C][C]3965[/C][C]3406.54928212812[/C][C]558.450717871879[/C][/ROW]
[ROW][C]140[/C][C]3315[/C][C]3508.84602973994[/C][C]-193.84602973994[/C][/ROW]
[ROW][C]141[/C][C]3333[/C][C]3530.68986793644[/C][C]-197.689867936445[/C][/ROW]
[ROW][C]142[/C][C]3583[/C][C]3548.22052936961[/C][C]34.7794706303889[/C][/ROW]
[ROW][C]143[/C][C]4021[/C][C]4286.81707791326[/C][C]-265.817077913255[/C][/ROW]
[ROW][C]144[/C][C]4904[/C][C]4725.84302036935[/C][C]178.156979630648[/C][/ROW]
[ROW][C]145[/C][C]2252[/C][C]2378.47203106419[/C][C]-126.472031064187[/C][/ROW]
[ROW][C]146[/C][C]2952[/C][C]2920.46792025871[/C][C]31.5320797412887[/C][/ROW]
[ROW][C]147[/C][C]3573[/C][C]3090.73098727129[/C][C]482.269012728707[/C][/ROW]
[ROW][C]148[/C][C]3048[/C][C]2771.92875568447[/C][C]276.071244315528[/C][/ROW]
[ROW][C]149[/C][C]3059[/C][C]3059.25805954162[/C][C]-0.258059541619787[/C][/ROW]
[ROW][C]150[/C][C]2731[/C][C]3091.30730850174[/C][C]-360.307308501737[/C][/ROW]
[ROW][C]151[/C][C]3563[/C][C]3641.73775166279[/C][C]-78.7377516627898[/C][/ROW]
[ROW][C]152[/C][C]3092[/C][C]3429.39323341164[/C][C]-337.393233411637[/C][/ROW]
[ROW][C]153[/C][C]3478[/C][C]3429.04665965143[/C][C]48.9533403485739[/C][/ROW]
[ROW][C]154[/C][C]3478[/C][C]3548.78189383512[/C][C]-70.7818938351211[/C][/ROW]
[ROW][C]155[/C][C]4308[/C][C]4173.95287106012[/C][C]134.047128939877[/C][/ROW]
[ROW][C]156[/C][C]5029[/C][C]4805.03432873576[/C][C]223.965671264239[/C][/ROW]
[ROW][C]157[/C][C]2075[/C][C]2353.67458243103[/C][C]-278.674582431029[/C][/ROW]
[ROW][C]158[/C][C]3264[/C][C]2924.5783086329[/C][C]339.421691367099[/C][/ROW]
[ROW][C]159[/C][C]3308[/C][C]3276.12800671071[/C][C]31.871993289285[/C][/ROW]
[ROW][C]160[/C][C]3688[/C][C]2837.66307234422[/C][C]850.336927655776[/C][/ROW]
[ROW][C]161[/C][C]3136[/C][C]3115.64191049181[/C][C]20.3580895081859[/C][/ROW]
[ROW][C]162[/C][C]2824[/C][C]3037.35125485931[/C][C]-213.351254859309[/C][/ROW]
[ROW][C]163[/C][C]3644[/C][C]3716.26649725859[/C][C]-72.266497258589[/C][/ROW]
[ROW][C]164[/C][C]4694[/C][C]3418.99913678026[/C][C]1275.00086321974[/C][/ROW]
[ROW][C]165[/C][C]2914[/C][C]3769.78903114743[/C][C]-855.789031147428[/C][/ROW]
[ROW][C]166[/C][C]3686[/C][C]3754.3729589265[/C][C]-68.3729589265013[/C][/ROW]
[ROW][C]167[/C][C]4358[/C][C]4500.77949409156[/C][C]-142.779494091558[/C][/ROW]
[ROW][C]168[/C][C]5587[/C][C]5174.72277018426[/C][C]412.277229815739[/C][/ROW]
[ROW][C]169[/C][C]2265[/C][C]2420.543607665[/C][C]-155.543607665001[/C][/ROW]
[ROW][C]170[/C][C]3685[/C][C]3267.76220937619[/C][C]417.237790623808[/C][/ROW]
[ROW][C]171[/C][C]3754[/C][C]3560.15730416595[/C][C]193.842695834053[/C][/ROW]
[ROW][C]172[/C][C]3708[/C][C]3380.71195611707[/C][C]327.288043882932[/C][/ROW]
[ROW][C]173[/C][C]3210[/C][C]3334.76665479184[/C][C]-124.76665479184[/C][/ROW]
[ROW][C]174[/C][C]3517[/C][C]3159.97382358561[/C][C]357.026176414389[/C][/ROW]
[ROW][C]175[/C][C]3905[/C][C]4030.43434869364[/C][C]-125.434348693638[/C][/ROW]
[ROW][C]176[/C][C]3670[/C][C]4150.38515686925[/C][C]-480.385156869245[/C][/ROW]
[ROW][C]177[/C][C]4221[/C][C]3594.50268454086[/C][C]626.497315459143[/C][/ROW]
[ROW][C]178[/C][C]4404[/C][C]4044.38453469562[/C][C]359.615465304384[/C][/ROW]
[ROW][C]179[/C][C]5086[/C][C]4905.08847376223[/C][C]180.911526237766[/C][/ROW]
[ROW][C]180[/C][C]5725[/C][C]5904.43843243454[/C][C]-179.438432434537[/C][/ROW]
[ROW][C]181[/C][C]2367[/C][C]2611.3595157129[/C][C]-244.359515712898[/C][/ROW]
[ROW][C]182[/C][C]3819[/C][C]3733.69998593864[/C][C]85.3000140613608[/C][/ROW]
[ROW][C]183[/C][C]4067[/C][C]3935.14530520931[/C][C]131.854694790689[/C][/ROW]
[ROW][C]184[/C][C]4022[/C][C]3779.80711914581[/C][C]242.192880854191[/C][/ROW]
[ROW][C]185[/C][C]3937[/C][C]3567.46347861794[/C][C]369.536521382058[/C][/ROW]
[ROW][C]186[/C][C]4365[/C][C]3608.92975057157[/C][C]756.070249428426[/C][/ROW]
[ROW][C]187[/C][C]4290[/C][C]4467.98885562927[/C][C]-177.988855629271[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77664&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77664&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
1320722006.6844025824765.3155974175252
1424342346.5132786772687.4867213227371
1529562836.92741456618119.072585433819
1628282733.0177509360594.9822490639458
1726872642.0105324220544.9894675779456
1826292617.1525680335511.8474319664538
1931502786.13241341801363.867586581986
2041193816.43640110982302.563598890181
2130302690.17525022614339.824749773859
2230553640.99875004146-585.998750041461
2338214483.67975777213-662.679757772129
2440014321.76779125718-320.76779125718
2525292286.85990746329242.140092536712
2624722702.55848685276-230.558486852761
2731343220.58021592353-86.580215923529
2827893066.4813098099-277.481309809904
2927582897.77276404329-139.772764043287
3029932830.57717652293162.422823477075
3132823145.0765775793136.923422420702
3234374189.4568929726-752.456892972604
3328042888.78923666848-84.7892366684832
3430763487.56067145411-411.560671454114
3537824319.73779541977-537.73779541977
3638894262.51394493951-373.513944939512
3722712371.24121826183-100.241218261831
3824522580.17404194888-128.174041948881
3930843132.66698735364-48.6669873536439
4025222913.08527278898-391.085272788984
4127692762.200479181356.79952081864849
4234382793.52873253637644.471267463632
4328393146.42547274745-307.425472747449
4437463814.28307101164-68.2830710116427
4526322812.27343210227-180.273432102267
4628513273.20390376262-422.203903762625
4738714025.83722224876-154.837222248764
4836184053.04567994648-435.045679946483
4923892275.37685166451113.623148335492
5023442492.20793929224-148.207939292241
5126783047.34185997103-369.341859971025
5224922681.60552468653-189.60552468653
5328582671.59250627004186.407493729958
5422462905.95801327411-659.958013274107
5528002785.5246452404214.4753547595806
5638693493.0534495958375.946550404201
5730072567.30721656218439.692783437817
5830233003.9005854410919.099414558912
5939073865.108124093541.8918759065036
6042093823.99797686431385.002023135691
6123532316.278371657936.7216283420994
6225702441.24990062065128.750099379351
6329032968.28129281068-65.281292810675
6429102692.85915208029217.140847919707
6537822863.13365363441918.866346365593
6627592924.79122102555-165.791221025547
6729313110.89015621442-179.890156214422
6836414011.18604398834-370.186043988338
6927942939.23060426681-145.230604266809
7030703192.69618549742-122.696185497422
7135764097.51371871536-521.513718715363
7241064097.28662560228.71337439780109
7324522389.9030743126762.0969256873268
7422062551.00115020026-345.001150200264
7524882957.24765734082-469.247657340819
7624162716.1453476335-300.1453476335
7725343006.6231439636-472.623143963604
7825212577.90875343057-56.9087534305713
7930932735.82123433235357.17876566765
8039033552.85181776422350.14818223578
8129072693.33987981612213.660120183878
8230252974.7843463684450.215653631556
8338123724.9226037971187.0773962028907
8442093952.10928369196256.890716308043
8521382338.05063021236-200.050630212359
8624192332.4870384469286.5129615530768
8726222739.15511764967-117.155117649666
8829122595.00556722172316.994432778283
8927082915.50992618349-207.509926183486
9027982648.01182325873149.988176741274
9132542980.73482507422273.26517492578
9228953826.48267808477-931.482678084767
9332632764.04124349259498.958756507412
9437363035.59455896144700.405441038556
9540773918.67572839792158.32427160208
9640974229.81376411947-132.813764119465
9721752362.58427851089-187.584278510886
9831382456.68665562647681.31334437353
9928232907.03370140944-84.0337014094366
10024982911.35163174407-413.351631744071
10128222987.31679939038-165.316799390376
10227382834.91846173159-96.9184617315932
10341373192.55079473644944.449205263558
10435153774.56389739263-259.563897392635
10537853202.96659666942582.033403330578
10636323580.6436868980751.3563131019318
10745044268.98814790624235.011852093761
10844514524.27661165067-73.2766116506718
10925502498.7877791349251.2122208650844
11028672932.91430405926-65.9143040592608
11134583062.53179323574395.468206764261
11229613019.71213819939-58.7121381993943
11331633246.88031500576-83.8803150057574
11428803122.87638257488-242.876382574884
11533313860.99203964259-529.992039642589
11630623887.90037925996-825.900379259963
11735343491.8792939578842.1207060421179
11836223631.18281892709-9.18281892708637
11944644365.2584286550998.741571344909
12054114497.29671399659913.70328600341
12125642578.74666514878-14.7466651487766
12228202973.61356528424-153.613565284244
12335083235.34530925175272.654690748249
12430883028.5239945348159.4760054651888
12532993261.619310428737.380689571296
12629393096.40155017272-157.401550172723
12733203763.0008003276-443.000800327601
12834183698.63033380649-280.63033380649
12936043641.11081164881-37.1108116488108
13034953758.97660881577-263.976608815771
13141634514.24377669472-351.243776694721
13248824837.9637185938644.0362814061373
13322112540.77422478325-329.774224783253
13432602834.20922019999425.790779800008
13529923291.53208341414-299.532083414142
13624252947.75341414884-522.753414148842
13727073076.47183036255-369.471830362551
13832442802.82297760127441.177022398728
13939653406.54928212812558.450717871879
14033153508.84602973994-193.84602973994
14133333530.68986793644-197.689867936445
14235833548.2205293696134.7794706303889
14340214286.81707791326-265.817077913255
14449044725.84302036935178.156979630648
14522522378.47203106419-126.472031064187
14629522920.4679202587131.5320797412887
14735733090.73098727129482.269012728707
14830482771.92875568447276.071244315528
14930593059.25805954162-0.258059541619787
15027313091.30730850174-360.307308501737
15135633641.73775166279-78.7377516627898
15230923429.39323341164-337.393233411637
15334783429.0466596514348.9533403485739
15434783548.78189383512-70.7818938351211
15543084173.95287106012134.047128939877
15650294805.03432873576223.965671264239
15720752353.67458243103-278.674582431029
15832642924.5783086329339.421691367099
15933083276.1280067107131.871993289285
16036882837.66307234422850.336927655776
16131363115.6419104918120.3580895081859
16228243037.35125485931-213.351254859309
16336443716.26649725859-72.266497258589
16446943418.999136780261275.00086321974
16529143769.78903114743-855.789031147428
16636863754.3729589265-68.3729589265013
16743584500.77949409156-142.779494091558
16855875174.72277018426412.277229815739
16922652420.543607665-155.543607665001
17036853267.76220937619417.237790623808
17137543560.15730416595193.842695834053
17237083380.71195611707327.288043882932
17332103334.76665479184-124.76665479184
17435173159.97382358561357.026176414389
17539054030.43434869364-125.434348693638
17636704150.38515686925-480.385156869245
17742213594.50268454086626.497315459143
17844044044.38453469562359.615465304384
17950864905.08847376223180.911526237766
18057255904.43843243454-179.438432434537
18123672611.3595157129-244.359515712898
18238193733.6999859386485.3000140613608
18340673935.14530520931131.854694790689
18440223779.80711914581242.192880854191
18539373567.46347861794369.536521382058
18643653608.92975057157756.070249428426
18742904467.98885562927-177.988855629271







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1884481.80877013234178.075532958874785.54200730573
1894319.094580138444003.094340315884635.09481996101
1904649.48971679094315.801315734564983.17811784725
1915498.511331141155134.150698604575862.87196367773
1926459.687548185316054.435734536626864.939361834
1932813.618063066282484.092176195283143.14394993728
1944232.154535540273843.993282959384620.31578812116
1954470.401532308874055.909186739774884.89387787797
1964322.758684224563898.382696658624747.1346717905
1974100.384156137383670.688681234544530.07963104021
1984223.866566292153769.785576064424677.94755651987
1994728.114080534214323.905603683865132.32255738456

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 4481.8087701323 & 4178.07553295887 & 4785.54200730573 \tabularnewline
189 & 4319.09458013844 & 4003.09434031588 & 4635.09481996101 \tabularnewline
190 & 4649.4897167909 & 4315.80131573456 & 4983.17811784725 \tabularnewline
191 & 5498.51133114115 & 5134.15069860457 & 5862.87196367773 \tabularnewline
192 & 6459.68754818531 & 6054.43573453662 & 6864.939361834 \tabularnewline
193 & 2813.61806306628 & 2484.09217619528 & 3143.14394993728 \tabularnewline
194 & 4232.15453554027 & 3843.99328295938 & 4620.31578812116 \tabularnewline
195 & 4470.40153230887 & 4055.90918673977 & 4884.89387787797 \tabularnewline
196 & 4322.75868422456 & 3898.38269665862 & 4747.1346717905 \tabularnewline
197 & 4100.38415613738 & 3670.68868123454 & 4530.07963104021 \tabularnewline
198 & 4223.86656629215 & 3769.78557606442 & 4677.94755651987 \tabularnewline
199 & 4728.11408053421 & 4323.90560368386 & 5132.32255738456 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77664&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]4481.8087701323[/C][C]4178.07553295887[/C][C]4785.54200730573[/C][/ROW]
[ROW][C]189[/C][C]4319.09458013844[/C][C]4003.09434031588[/C][C]4635.09481996101[/C][/ROW]
[ROW][C]190[/C][C]4649.4897167909[/C][C]4315.80131573456[/C][C]4983.17811784725[/C][/ROW]
[ROW][C]191[/C][C]5498.51133114115[/C][C]5134.15069860457[/C][C]5862.87196367773[/C][/ROW]
[ROW][C]192[/C][C]6459.68754818531[/C][C]6054.43573453662[/C][C]6864.939361834[/C][/ROW]
[ROW][C]193[/C][C]2813.61806306628[/C][C]2484.09217619528[/C][C]3143.14394993728[/C][/ROW]
[ROW][C]194[/C][C]4232.15453554027[/C][C]3843.99328295938[/C][C]4620.31578812116[/C][/ROW]
[ROW][C]195[/C][C]4470.40153230887[/C][C]4055.90918673977[/C][C]4884.89387787797[/C][/ROW]
[ROW][C]196[/C][C]4322.75868422456[/C][C]3898.38269665862[/C][C]4747.1346717905[/C][/ROW]
[ROW][C]197[/C][C]4100.38415613738[/C][C]3670.68868123454[/C][C]4530.07963104021[/C][/ROW]
[ROW][C]198[/C][C]4223.86656629215[/C][C]3769.78557606442[/C][C]4677.94755651987[/C][/ROW]
[ROW][C]199[/C][C]4728.11408053421[/C][C]4323.90560368386[/C][C]5132.32255738456[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77664&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77664&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
1884481.80877013234178.075532958874785.54200730573
1894319.094580138444003.094340315884635.09481996101
1904649.48971679094315.801315734564983.17811784725
1915498.511331141155134.150698604575862.87196367773
1926459.687548185316054.435734536626864.939361834
1932813.618063066282484.092176195283143.14394993728
1944232.154535540273843.993282959384620.31578812116
1954470.401532308874055.909186739774884.89387787797
1964322.758684224563898.382696658624747.1346717905
1974100.384156137383670.688681234544530.07963104021
1984223.866566292153769.785576064424677.94755651987
1994728.114080534214323.905603683865132.32255738456



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')