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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 30 Nov 2010 16:11:48 +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/Nov/30/t12911335699w7tfx8mp473irm.htm/, Retrieved Mon, 29 Apr 2024 09:40:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103655, Retrieved Mon, 29 Apr 2024 09:40:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact187
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:56:43] [74be16979710d4c4e7c6647856088456]
-  M D    [Exponential Smoothing] [ws 8] [2010-11-30 16:11:48] [3f56c8f677e988de577e4e00a8180a48] [Current]
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Dataseries X:
2938
2909
3141
2427
3059
2918
2901
2823
2798
2892
2967
2397
3458
3024
3100
2904
3056
2771
2897
2772
2857
3020
2648
2364
3194
3013
2560
3074
2746
2846
3184
2354
3080
2963
2430
2296
2416
2647
2789
2685
2666
2882
2953
2127
2563
3061
2809
2861
2781
2555
3206
2570
2410
3195
2736
2743
2934
2668
2907
2866
2983
2878
3225
2515
3193
2663
2908
2896
2853
3028
3053
2455
3401
2969
3243
2849
3296
3121
3194
3023
2984
3525
3116
2383
3294
2882
2820
2583
2803
2767
2945
2716
2644
2956
2598
2171
2994
2645
2724
2550
2707
2679
2878
2307
2496
2637
2436
2426
2607
2533
2888
2520
2229
2804
2661
2547
2509
2465
2629
2706
2666
2432
2836
2888
2566
2802
2611
2683
2675
2434
2693
2619
2903
2550
2900
2456
2912
2883
2464
2655
2447
2592
2698
2274
2901
2397
3004
2614
2882
2671
2761
2806
2414
2673
2748
2112
2903
2633
2684
2861
2504
2708
2961
2535
2688
2699
2469
2585
2582
2480
2709
2441
2182
2585
2881
2422
2690
2659
2535
2613




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103655&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103655&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103655&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.137854413836711
beta0.00578274385342074
gamma0.233989636519689

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.137854413836711 \tabularnewline
beta & 0.00578274385342074 \tabularnewline
gamma & 0.233989636519689 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103655&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]0.137854413836711[/C][/ROW]
[ROW][C]beta[/C][C]0.00578274385342074[/C][/ROW]
[ROW][C]gamma[/C][C]0.233989636519689[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103655&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103655&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
alpha0.137854413836711
beta0.00578274385342074
gamma0.233989636519689







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1334583422.4051816239335.5948183760665
1430242998.6051742611425.3948257388574
1531003080.7942970572219.2057029427774
1629042882.6871989648821.3128010351197
1730563048.637563714727.36243628527927
1827712782.37901160563-11.3790116056325
1928972951.98613043277-54.9861304327719
2027722842.95464845602-70.954648456016
2128572808.0402723902648.9597276097415
2230202893.61231857154126.387681428457
2326482969.37556993068-321.375569930676
2423642364.15648759912-0.156487599118918
2531943441.44106969978-247.441069699777
2630132976.2007957424736.7992042575265
2725603058.35775894735-498.357758947352
2830742788.55898274627285.441017253727
2927462987.54855207437-241.548552074371
3028462682.43953945554163.560460544459
3131842866.74908255775317.250917442254
3223542805.49072674787-451.490726747872
3330802741.68510612475338.314893875249
3429632882.3731207751180.626879224892
3524302861.07017885997-431.070178859974
3622962305.01311469469-9.01311469469147
3724163330.66759057353-914.66759057353
3826472829.73229124656-182.732291246560
3927892772.4363876964116.5636123035883
4026852730.91987024959-45.9198702495883
4126662776.83436164114-110.834361641138
4228822570.48872899831311.511271001694
4329532805.33628640245147.663713597548
4421272564.62161996628-437.621619966281
4525632661.07162863300-98.0716286329962
4630612688.28349738175372.716502618251
4728092602.91886874011206.081131259893
4828612219.24546054001641.754539459988
4927813151.83603455409-370.836034554090
5025552873.8848649455-318.884864945500
5132062838.27472611076367.725273889239
5225702833.09275401697-263.092754016972
5324102836.33082494429-426.330824944294
5431952671.79943704686523.200562953137
5527362903.0502878742-167.050287874201
5627432500.90305204697242.096947953030
5729342760.11919310883173.880806891166
5826682920.57670829879-252.57670829879
5929072715.68054441769191.319455582312
6028662418.13393696478447.866063035221
6129833119.84049864061-136.840498640615
6228782884.93089264961-6.93089264961054
6332253031.3896562673193.610343732701
6425152875.36213191657-360.362131916567
6531932832.59697759902360.403022400985
6626632969.03574533904-306.035745339044
6729082947.02867794113-39.0286779411263
6828962645.47282865107250.527171348928
6928532892.50086685623-39.5008668562332
7030282937.7532726802790.2467273197299
7130532870.17979355190182.820206448097
7224552623.72309981415-168.723099814146
7334013122.49152914244278.50847085756
7429692971.39388162149-2.39388162148953
7532433159.2847188176683.7152811823435
7628492876.61628131111-27.6162813111146
7732963025.65228971797270.347710282028
7831213015.69043134138105.309568658622
7931943105.0378943498788.9621056501337
8030232880.42577044919142.574229550809
8129843054.86431943051-70.86431943051
8235253122.74308615555402.256913844450
8331163117.8810162738-1.88101627379910
8423832775.92156185318-392.921561853182
8532943334.70299387297-40.702993872972
8628823083.37718221263-201.377182212630
8728203261.49359608024-441.493596080236
8825832883.8300793168-300.830079316801
8928033054.96031689203-251.960316892034
9027672938.93470629782-171.93470629782
9129452985.77636065501-40.7763606550143
9227162753.00249700534-37.0024970053441
9326442858.39275895808-214.392758958081
9429563000.58009200437-44.5800920043748
9525982850.88571684403-252.885716844031
9621712393.53238609267-222.532386092675
9729943045.08676700320-51.0867670032048
9826452758.13781534055-113.137815340552
9927242898.27093773928-174.270937739278
10025502584.32671806898-34.3267180689845
10127072800.77170315402-93.7717031540164
10226792721.54044517074-42.5404451707391
10328782811.6253404424166.3746595575903
10423072593.41613650956-286.416136509562
10524962627.47141273665-131.471412736649
10626372814.24604208603-177.246042086033
10724362603.03455725743-167.034557257429
10824262162.50152212482263.498477875175
10926072914.89317901695-307.893179016946
11025332579.06937186539-46.0693718653852
11128882715.21385861468172.786141385321
11225202476.7193004395643.2806995604383
11322292691.30757987716-462.307579877164
11428042570.75007086764233.249929132360
11526612720.18852953502-59.1885295350189
11625472412.76305513361134.236944866393
11725092535.66279636221-26.6627963622095
11824652727.33314429513-262.333144295130
11926292506.06583979411122.934160205891
12027062192.20402442006513.795975579937
12126662863.87617318974-197.876173189741
12224322596.16944140611-164.169441406112
12328362760.2217826614175.7782173385922
12428882482.18944523287405.810554767129
12525662645.00988814034-79.0098881403383
12628022718.1639388383783.8360611616349
12726112788.44668684973-177.446686849731
12826832504.08103447305178.918965526947
12926752601.0591043065273.9408956934803
13024342759.51332030403-325.513320304027
13126932607.6648865806185.3351134193904
13226192367.84703867423251.152961325766
13329032859.912847689943.0871523101023
13425502632.58383963681-82.5838396368113
13529002856.7136482963843.2863517036203
13624562641.17985851695-185.179858516947
13729122624.65343156555287.346568434448
13828832781.38292484963101.617075150371
13924642801.64181612116-337.641816121165
14026552567.1899527548087.8100472452034
14124472630.46470664228-183.464706642280
14225922672.68008166223-80.6800816622299
14326982637.4887150254760.5112849745274
14422742427.703940712-153.703940712002
14529012821.6661229675479.3338770324572
14623972573.69222964465-176.692229644645
14730042809.87629489622194.123705103777
14826142568.8024654347845.1975345652249
14928822679.29803629241202.701963707590
15026712786.76284915367-115.762849153666
15127612688.1403405073572.8596594926476
15228062596.13135090133209.86864909867
15324142621.63031466415-207.630314664154
15426732681.35315273477-8.35315273476772
15527482684.7767409137463.2232590862577
15621122432.31506942704-320.315069427041
15729032850.3513562966552.6486437033468
15826332547.0592996440485.9407003559568
15926842894.47316074841-210.473160748406
16028612567.47681661262293.523183387385
16125042744.07328749078-240.073287490779
16227082725.99595467241-17.9959546724108
16329612678.72167222405282.278327775951
16425352643.2073854769-108.207385476902
16526882540.3673898731147.632610126898
16626992689.281403267209.71859673279778
16724692709.66580900261-240.665809002614
16825852337.72725984697247.272740153027
16925822909.48759748182-327.487597481824
17024802560.44558509239-80.4455850923878
17127092824.93061849702-115.930618497020
17224412612.52026222978-171.520262229780
17321822616.87375213901-434.873752139014
17425852616.09677912458-31.0967791245835
17528812626.93542578866254.064574211342
17624222508.07901519761-86.0790151976094
17726902459.23972970158230.760270298420
17826592591.1965123911867.8034876088223
17925352568.52873052359-33.5287305235893
18026132323.19482294785289.805177052150

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 3458 & 3422.40518162393 & 35.5948183760665 \tabularnewline
14 & 3024 & 2998.60517426114 & 25.3948257388574 \tabularnewline
15 & 3100 & 3080.79429705722 & 19.2057029427774 \tabularnewline
16 & 2904 & 2882.68719896488 & 21.3128010351197 \tabularnewline
17 & 3056 & 3048.63756371472 & 7.36243628527927 \tabularnewline
18 & 2771 & 2782.37901160563 & -11.3790116056325 \tabularnewline
19 & 2897 & 2951.98613043277 & -54.9861304327719 \tabularnewline
20 & 2772 & 2842.95464845602 & -70.954648456016 \tabularnewline
21 & 2857 & 2808.04027239026 & 48.9597276097415 \tabularnewline
22 & 3020 & 2893.61231857154 & 126.387681428457 \tabularnewline
23 & 2648 & 2969.37556993068 & -321.375569930676 \tabularnewline
24 & 2364 & 2364.15648759912 & -0.156487599118918 \tabularnewline
25 & 3194 & 3441.44106969978 & -247.441069699777 \tabularnewline
26 & 3013 & 2976.20079574247 & 36.7992042575265 \tabularnewline
27 & 2560 & 3058.35775894735 & -498.357758947352 \tabularnewline
28 & 3074 & 2788.55898274627 & 285.441017253727 \tabularnewline
29 & 2746 & 2987.54855207437 & -241.548552074371 \tabularnewline
30 & 2846 & 2682.43953945554 & 163.560460544459 \tabularnewline
31 & 3184 & 2866.74908255775 & 317.250917442254 \tabularnewline
32 & 2354 & 2805.49072674787 & -451.490726747872 \tabularnewline
33 & 3080 & 2741.68510612475 & 338.314893875249 \tabularnewline
34 & 2963 & 2882.37312077511 & 80.626879224892 \tabularnewline
35 & 2430 & 2861.07017885997 & -431.070178859974 \tabularnewline
36 & 2296 & 2305.01311469469 & -9.01311469469147 \tabularnewline
37 & 2416 & 3330.66759057353 & -914.66759057353 \tabularnewline
38 & 2647 & 2829.73229124656 & -182.732291246560 \tabularnewline
39 & 2789 & 2772.43638769641 & 16.5636123035883 \tabularnewline
40 & 2685 & 2730.91987024959 & -45.9198702495883 \tabularnewline
41 & 2666 & 2776.83436164114 & -110.834361641138 \tabularnewline
42 & 2882 & 2570.48872899831 & 311.511271001694 \tabularnewline
43 & 2953 & 2805.33628640245 & 147.663713597548 \tabularnewline
44 & 2127 & 2564.62161996628 & -437.621619966281 \tabularnewline
45 & 2563 & 2661.07162863300 & -98.0716286329962 \tabularnewline
46 & 3061 & 2688.28349738175 & 372.716502618251 \tabularnewline
47 & 2809 & 2602.91886874011 & 206.081131259893 \tabularnewline
48 & 2861 & 2219.24546054001 & 641.754539459988 \tabularnewline
49 & 2781 & 3151.83603455409 & -370.836034554090 \tabularnewline
50 & 2555 & 2873.8848649455 & -318.884864945500 \tabularnewline
51 & 3206 & 2838.27472611076 & 367.725273889239 \tabularnewline
52 & 2570 & 2833.09275401697 & -263.092754016972 \tabularnewline
53 & 2410 & 2836.33082494429 & -426.330824944294 \tabularnewline
54 & 3195 & 2671.79943704686 & 523.200562953137 \tabularnewline
55 & 2736 & 2903.0502878742 & -167.050287874201 \tabularnewline
56 & 2743 & 2500.90305204697 & 242.096947953030 \tabularnewline
57 & 2934 & 2760.11919310883 & 173.880806891166 \tabularnewline
58 & 2668 & 2920.57670829879 & -252.57670829879 \tabularnewline
59 & 2907 & 2715.68054441769 & 191.319455582312 \tabularnewline
60 & 2866 & 2418.13393696478 & 447.866063035221 \tabularnewline
61 & 2983 & 3119.84049864061 & -136.840498640615 \tabularnewline
62 & 2878 & 2884.93089264961 & -6.93089264961054 \tabularnewline
63 & 3225 & 3031.3896562673 & 193.610343732701 \tabularnewline
64 & 2515 & 2875.36213191657 & -360.362131916567 \tabularnewline
65 & 3193 & 2832.59697759902 & 360.403022400985 \tabularnewline
66 & 2663 & 2969.03574533904 & -306.035745339044 \tabularnewline
67 & 2908 & 2947.02867794113 & -39.0286779411263 \tabularnewline
68 & 2896 & 2645.47282865107 & 250.527171348928 \tabularnewline
69 & 2853 & 2892.50086685623 & -39.5008668562332 \tabularnewline
70 & 3028 & 2937.75327268027 & 90.2467273197299 \tabularnewline
71 & 3053 & 2870.17979355190 & 182.820206448097 \tabularnewline
72 & 2455 & 2623.72309981415 & -168.723099814146 \tabularnewline
73 & 3401 & 3122.49152914244 & 278.50847085756 \tabularnewline
74 & 2969 & 2971.39388162149 & -2.39388162148953 \tabularnewline
75 & 3243 & 3159.28471881766 & 83.7152811823435 \tabularnewline
76 & 2849 & 2876.61628131111 & -27.6162813111146 \tabularnewline
77 & 3296 & 3025.65228971797 & 270.347710282028 \tabularnewline
78 & 3121 & 3015.69043134138 & 105.309568658622 \tabularnewline
79 & 3194 & 3105.03789434987 & 88.9621056501337 \tabularnewline
80 & 3023 & 2880.42577044919 & 142.574229550809 \tabularnewline
81 & 2984 & 3054.86431943051 & -70.86431943051 \tabularnewline
82 & 3525 & 3122.74308615555 & 402.256913844450 \tabularnewline
83 & 3116 & 3117.8810162738 & -1.88101627379910 \tabularnewline
84 & 2383 & 2775.92156185318 & -392.921561853182 \tabularnewline
85 & 3294 & 3334.70299387297 & -40.702993872972 \tabularnewline
86 & 2882 & 3083.37718221263 & -201.377182212630 \tabularnewline
87 & 2820 & 3261.49359608024 & -441.493596080236 \tabularnewline
88 & 2583 & 2883.8300793168 & -300.830079316801 \tabularnewline
89 & 2803 & 3054.96031689203 & -251.960316892034 \tabularnewline
90 & 2767 & 2938.93470629782 & -171.93470629782 \tabularnewline
91 & 2945 & 2985.77636065501 & -40.7763606550143 \tabularnewline
92 & 2716 & 2753.00249700534 & -37.0024970053441 \tabularnewline
93 & 2644 & 2858.39275895808 & -214.392758958081 \tabularnewline
94 & 2956 & 3000.58009200437 & -44.5800920043748 \tabularnewline
95 & 2598 & 2850.88571684403 & -252.885716844031 \tabularnewline
96 & 2171 & 2393.53238609267 & -222.532386092675 \tabularnewline
97 & 2994 & 3045.08676700320 & -51.0867670032048 \tabularnewline
98 & 2645 & 2758.13781534055 & -113.137815340552 \tabularnewline
99 & 2724 & 2898.27093773928 & -174.270937739278 \tabularnewline
100 & 2550 & 2584.32671806898 & -34.3267180689845 \tabularnewline
101 & 2707 & 2800.77170315402 & -93.7717031540164 \tabularnewline
102 & 2679 & 2721.54044517074 & -42.5404451707391 \tabularnewline
103 & 2878 & 2811.62534044241 & 66.3746595575903 \tabularnewline
104 & 2307 & 2593.41613650956 & -286.416136509562 \tabularnewline
105 & 2496 & 2627.47141273665 & -131.471412736649 \tabularnewline
106 & 2637 & 2814.24604208603 & -177.246042086033 \tabularnewline
107 & 2436 & 2603.03455725743 & -167.034557257429 \tabularnewline
108 & 2426 & 2162.50152212482 & 263.498477875175 \tabularnewline
109 & 2607 & 2914.89317901695 & -307.893179016946 \tabularnewline
110 & 2533 & 2579.06937186539 & -46.0693718653852 \tabularnewline
111 & 2888 & 2715.21385861468 & 172.786141385321 \tabularnewline
112 & 2520 & 2476.71930043956 & 43.2806995604383 \tabularnewline
113 & 2229 & 2691.30757987716 & -462.307579877164 \tabularnewline
114 & 2804 & 2570.75007086764 & 233.249929132360 \tabularnewline
115 & 2661 & 2720.18852953502 & -59.1885295350189 \tabularnewline
116 & 2547 & 2412.76305513361 & 134.236944866393 \tabularnewline
117 & 2509 & 2535.66279636221 & -26.6627963622095 \tabularnewline
118 & 2465 & 2727.33314429513 & -262.333144295130 \tabularnewline
119 & 2629 & 2506.06583979411 & 122.934160205891 \tabularnewline
120 & 2706 & 2192.20402442006 & 513.795975579937 \tabularnewline
121 & 2666 & 2863.87617318974 & -197.876173189741 \tabularnewline
122 & 2432 & 2596.16944140611 & -164.169441406112 \tabularnewline
123 & 2836 & 2760.22178266141 & 75.7782173385922 \tabularnewline
124 & 2888 & 2482.18944523287 & 405.810554767129 \tabularnewline
125 & 2566 & 2645.00988814034 & -79.0098881403383 \tabularnewline
126 & 2802 & 2718.16393883837 & 83.8360611616349 \tabularnewline
127 & 2611 & 2788.44668684973 & -177.446686849731 \tabularnewline
128 & 2683 & 2504.08103447305 & 178.918965526947 \tabularnewline
129 & 2675 & 2601.05910430652 & 73.9408956934803 \tabularnewline
130 & 2434 & 2759.51332030403 & -325.513320304027 \tabularnewline
131 & 2693 & 2607.66488658061 & 85.3351134193904 \tabularnewline
132 & 2619 & 2367.84703867423 & 251.152961325766 \tabularnewline
133 & 2903 & 2859.9128476899 & 43.0871523101023 \tabularnewline
134 & 2550 & 2632.58383963681 & -82.5838396368113 \tabularnewline
135 & 2900 & 2856.71364829638 & 43.2863517036203 \tabularnewline
136 & 2456 & 2641.17985851695 & -185.179858516947 \tabularnewline
137 & 2912 & 2624.65343156555 & 287.346568434448 \tabularnewline
138 & 2883 & 2781.38292484963 & 101.617075150371 \tabularnewline
139 & 2464 & 2801.64181612116 & -337.641816121165 \tabularnewline
140 & 2655 & 2567.18995275480 & 87.8100472452034 \tabularnewline
141 & 2447 & 2630.46470664228 & -183.464706642280 \tabularnewline
142 & 2592 & 2672.68008166223 & -80.6800816622299 \tabularnewline
143 & 2698 & 2637.48871502547 & 60.5112849745274 \tabularnewline
144 & 2274 & 2427.703940712 & -153.703940712002 \tabularnewline
145 & 2901 & 2821.66612296754 & 79.3338770324572 \tabularnewline
146 & 2397 & 2573.69222964465 & -176.692229644645 \tabularnewline
147 & 3004 & 2809.87629489622 & 194.123705103777 \tabularnewline
148 & 2614 & 2568.80246543478 & 45.1975345652249 \tabularnewline
149 & 2882 & 2679.29803629241 & 202.701963707590 \tabularnewline
150 & 2671 & 2786.76284915367 & -115.762849153666 \tabularnewline
151 & 2761 & 2688.14034050735 & 72.8596594926476 \tabularnewline
152 & 2806 & 2596.13135090133 & 209.86864909867 \tabularnewline
153 & 2414 & 2621.63031466415 & -207.630314664154 \tabularnewline
154 & 2673 & 2681.35315273477 & -8.35315273476772 \tabularnewline
155 & 2748 & 2684.77674091374 & 63.2232590862577 \tabularnewline
156 & 2112 & 2432.31506942704 & -320.315069427041 \tabularnewline
157 & 2903 & 2850.35135629665 & 52.6486437033468 \tabularnewline
158 & 2633 & 2547.05929964404 & 85.9407003559568 \tabularnewline
159 & 2684 & 2894.47316074841 & -210.473160748406 \tabularnewline
160 & 2861 & 2567.47681661262 & 293.523183387385 \tabularnewline
161 & 2504 & 2744.07328749078 & -240.073287490779 \tabularnewline
162 & 2708 & 2725.99595467241 & -17.9959546724108 \tabularnewline
163 & 2961 & 2678.72167222405 & 282.278327775951 \tabularnewline
164 & 2535 & 2643.2073854769 & -108.207385476902 \tabularnewline
165 & 2688 & 2540.3673898731 & 147.632610126898 \tabularnewline
166 & 2699 & 2689.28140326720 & 9.71859673279778 \tabularnewline
167 & 2469 & 2709.66580900261 & -240.665809002614 \tabularnewline
168 & 2585 & 2337.72725984697 & 247.272740153027 \tabularnewline
169 & 2582 & 2909.48759748182 & -327.487597481824 \tabularnewline
170 & 2480 & 2560.44558509239 & -80.4455850923878 \tabularnewline
171 & 2709 & 2824.93061849702 & -115.930618497020 \tabularnewline
172 & 2441 & 2612.52026222978 & -171.520262229780 \tabularnewline
173 & 2182 & 2616.87375213901 & -434.873752139014 \tabularnewline
174 & 2585 & 2616.09677912458 & -31.0967791245835 \tabularnewline
175 & 2881 & 2626.93542578866 & 254.064574211342 \tabularnewline
176 & 2422 & 2508.07901519761 & -86.0790151976094 \tabularnewline
177 & 2690 & 2459.23972970158 & 230.760270298420 \tabularnewline
178 & 2659 & 2591.19651239118 & 67.8034876088223 \tabularnewline
179 & 2535 & 2568.52873052359 & -33.5287305235893 \tabularnewline
180 & 2613 & 2323.19482294785 & 289.805177052150 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103655&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]3458[/C][C]3422.40518162393[/C][C]35.5948183760665[/C][/ROW]
[ROW][C]14[/C][C]3024[/C][C]2998.60517426114[/C][C]25.3948257388574[/C][/ROW]
[ROW][C]15[/C][C]3100[/C][C]3080.79429705722[/C][C]19.2057029427774[/C][/ROW]
[ROW][C]16[/C][C]2904[/C][C]2882.68719896488[/C][C]21.3128010351197[/C][/ROW]
[ROW][C]17[/C][C]3056[/C][C]3048.63756371472[/C][C]7.36243628527927[/C][/ROW]
[ROW][C]18[/C][C]2771[/C][C]2782.37901160563[/C][C]-11.3790116056325[/C][/ROW]
[ROW][C]19[/C][C]2897[/C][C]2951.98613043277[/C][C]-54.9861304327719[/C][/ROW]
[ROW][C]20[/C][C]2772[/C][C]2842.95464845602[/C][C]-70.954648456016[/C][/ROW]
[ROW][C]21[/C][C]2857[/C][C]2808.04027239026[/C][C]48.9597276097415[/C][/ROW]
[ROW][C]22[/C][C]3020[/C][C]2893.61231857154[/C][C]126.387681428457[/C][/ROW]
[ROW][C]23[/C][C]2648[/C][C]2969.37556993068[/C][C]-321.375569930676[/C][/ROW]
[ROW][C]24[/C][C]2364[/C][C]2364.15648759912[/C][C]-0.156487599118918[/C][/ROW]
[ROW][C]25[/C][C]3194[/C][C]3441.44106969978[/C][C]-247.441069699777[/C][/ROW]
[ROW][C]26[/C][C]3013[/C][C]2976.20079574247[/C][C]36.7992042575265[/C][/ROW]
[ROW][C]27[/C][C]2560[/C][C]3058.35775894735[/C][C]-498.357758947352[/C][/ROW]
[ROW][C]28[/C][C]3074[/C][C]2788.55898274627[/C][C]285.441017253727[/C][/ROW]
[ROW][C]29[/C][C]2746[/C][C]2987.54855207437[/C][C]-241.548552074371[/C][/ROW]
[ROW][C]30[/C][C]2846[/C][C]2682.43953945554[/C][C]163.560460544459[/C][/ROW]
[ROW][C]31[/C][C]3184[/C][C]2866.74908255775[/C][C]317.250917442254[/C][/ROW]
[ROW][C]32[/C][C]2354[/C][C]2805.49072674787[/C][C]-451.490726747872[/C][/ROW]
[ROW][C]33[/C][C]3080[/C][C]2741.68510612475[/C][C]338.314893875249[/C][/ROW]
[ROW][C]34[/C][C]2963[/C][C]2882.37312077511[/C][C]80.626879224892[/C][/ROW]
[ROW][C]35[/C][C]2430[/C][C]2861.07017885997[/C][C]-431.070178859974[/C][/ROW]
[ROW][C]36[/C][C]2296[/C][C]2305.01311469469[/C][C]-9.01311469469147[/C][/ROW]
[ROW][C]37[/C][C]2416[/C][C]3330.66759057353[/C][C]-914.66759057353[/C][/ROW]
[ROW][C]38[/C][C]2647[/C][C]2829.73229124656[/C][C]-182.732291246560[/C][/ROW]
[ROW][C]39[/C][C]2789[/C][C]2772.43638769641[/C][C]16.5636123035883[/C][/ROW]
[ROW][C]40[/C][C]2685[/C][C]2730.91987024959[/C][C]-45.9198702495883[/C][/ROW]
[ROW][C]41[/C][C]2666[/C][C]2776.83436164114[/C][C]-110.834361641138[/C][/ROW]
[ROW][C]42[/C][C]2882[/C][C]2570.48872899831[/C][C]311.511271001694[/C][/ROW]
[ROW][C]43[/C][C]2953[/C][C]2805.33628640245[/C][C]147.663713597548[/C][/ROW]
[ROW][C]44[/C][C]2127[/C][C]2564.62161996628[/C][C]-437.621619966281[/C][/ROW]
[ROW][C]45[/C][C]2563[/C][C]2661.07162863300[/C][C]-98.0716286329962[/C][/ROW]
[ROW][C]46[/C][C]3061[/C][C]2688.28349738175[/C][C]372.716502618251[/C][/ROW]
[ROW][C]47[/C][C]2809[/C][C]2602.91886874011[/C][C]206.081131259893[/C][/ROW]
[ROW][C]48[/C][C]2861[/C][C]2219.24546054001[/C][C]641.754539459988[/C][/ROW]
[ROW][C]49[/C][C]2781[/C][C]3151.83603455409[/C][C]-370.836034554090[/C][/ROW]
[ROW][C]50[/C][C]2555[/C][C]2873.8848649455[/C][C]-318.884864945500[/C][/ROW]
[ROW][C]51[/C][C]3206[/C][C]2838.27472611076[/C][C]367.725273889239[/C][/ROW]
[ROW][C]52[/C][C]2570[/C][C]2833.09275401697[/C][C]-263.092754016972[/C][/ROW]
[ROW][C]53[/C][C]2410[/C][C]2836.33082494429[/C][C]-426.330824944294[/C][/ROW]
[ROW][C]54[/C][C]3195[/C][C]2671.79943704686[/C][C]523.200562953137[/C][/ROW]
[ROW][C]55[/C][C]2736[/C][C]2903.0502878742[/C][C]-167.050287874201[/C][/ROW]
[ROW][C]56[/C][C]2743[/C][C]2500.90305204697[/C][C]242.096947953030[/C][/ROW]
[ROW][C]57[/C][C]2934[/C][C]2760.11919310883[/C][C]173.880806891166[/C][/ROW]
[ROW][C]58[/C][C]2668[/C][C]2920.57670829879[/C][C]-252.57670829879[/C][/ROW]
[ROW][C]59[/C][C]2907[/C][C]2715.68054441769[/C][C]191.319455582312[/C][/ROW]
[ROW][C]60[/C][C]2866[/C][C]2418.13393696478[/C][C]447.866063035221[/C][/ROW]
[ROW][C]61[/C][C]2983[/C][C]3119.84049864061[/C][C]-136.840498640615[/C][/ROW]
[ROW][C]62[/C][C]2878[/C][C]2884.93089264961[/C][C]-6.93089264961054[/C][/ROW]
[ROW][C]63[/C][C]3225[/C][C]3031.3896562673[/C][C]193.610343732701[/C][/ROW]
[ROW][C]64[/C][C]2515[/C][C]2875.36213191657[/C][C]-360.362131916567[/C][/ROW]
[ROW][C]65[/C][C]3193[/C][C]2832.59697759902[/C][C]360.403022400985[/C][/ROW]
[ROW][C]66[/C][C]2663[/C][C]2969.03574533904[/C][C]-306.035745339044[/C][/ROW]
[ROW][C]67[/C][C]2908[/C][C]2947.02867794113[/C][C]-39.0286779411263[/C][/ROW]
[ROW][C]68[/C][C]2896[/C][C]2645.47282865107[/C][C]250.527171348928[/C][/ROW]
[ROW][C]69[/C][C]2853[/C][C]2892.50086685623[/C][C]-39.5008668562332[/C][/ROW]
[ROW][C]70[/C][C]3028[/C][C]2937.75327268027[/C][C]90.2467273197299[/C][/ROW]
[ROW][C]71[/C][C]3053[/C][C]2870.17979355190[/C][C]182.820206448097[/C][/ROW]
[ROW][C]72[/C][C]2455[/C][C]2623.72309981415[/C][C]-168.723099814146[/C][/ROW]
[ROW][C]73[/C][C]3401[/C][C]3122.49152914244[/C][C]278.50847085756[/C][/ROW]
[ROW][C]74[/C][C]2969[/C][C]2971.39388162149[/C][C]-2.39388162148953[/C][/ROW]
[ROW][C]75[/C][C]3243[/C][C]3159.28471881766[/C][C]83.7152811823435[/C][/ROW]
[ROW][C]76[/C][C]2849[/C][C]2876.61628131111[/C][C]-27.6162813111146[/C][/ROW]
[ROW][C]77[/C][C]3296[/C][C]3025.65228971797[/C][C]270.347710282028[/C][/ROW]
[ROW][C]78[/C][C]3121[/C][C]3015.69043134138[/C][C]105.309568658622[/C][/ROW]
[ROW][C]79[/C][C]3194[/C][C]3105.03789434987[/C][C]88.9621056501337[/C][/ROW]
[ROW][C]80[/C][C]3023[/C][C]2880.42577044919[/C][C]142.574229550809[/C][/ROW]
[ROW][C]81[/C][C]2984[/C][C]3054.86431943051[/C][C]-70.86431943051[/C][/ROW]
[ROW][C]82[/C][C]3525[/C][C]3122.74308615555[/C][C]402.256913844450[/C][/ROW]
[ROW][C]83[/C][C]3116[/C][C]3117.8810162738[/C][C]-1.88101627379910[/C][/ROW]
[ROW][C]84[/C][C]2383[/C][C]2775.92156185318[/C][C]-392.921561853182[/C][/ROW]
[ROW][C]85[/C][C]3294[/C][C]3334.70299387297[/C][C]-40.702993872972[/C][/ROW]
[ROW][C]86[/C][C]2882[/C][C]3083.37718221263[/C][C]-201.377182212630[/C][/ROW]
[ROW][C]87[/C][C]2820[/C][C]3261.49359608024[/C][C]-441.493596080236[/C][/ROW]
[ROW][C]88[/C][C]2583[/C][C]2883.8300793168[/C][C]-300.830079316801[/C][/ROW]
[ROW][C]89[/C][C]2803[/C][C]3054.96031689203[/C][C]-251.960316892034[/C][/ROW]
[ROW][C]90[/C][C]2767[/C][C]2938.93470629782[/C][C]-171.93470629782[/C][/ROW]
[ROW][C]91[/C][C]2945[/C][C]2985.77636065501[/C][C]-40.7763606550143[/C][/ROW]
[ROW][C]92[/C][C]2716[/C][C]2753.00249700534[/C][C]-37.0024970053441[/C][/ROW]
[ROW][C]93[/C][C]2644[/C][C]2858.39275895808[/C][C]-214.392758958081[/C][/ROW]
[ROW][C]94[/C][C]2956[/C][C]3000.58009200437[/C][C]-44.5800920043748[/C][/ROW]
[ROW][C]95[/C][C]2598[/C][C]2850.88571684403[/C][C]-252.885716844031[/C][/ROW]
[ROW][C]96[/C][C]2171[/C][C]2393.53238609267[/C][C]-222.532386092675[/C][/ROW]
[ROW][C]97[/C][C]2994[/C][C]3045.08676700320[/C][C]-51.0867670032048[/C][/ROW]
[ROW][C]98[/C][C]2645[/C][C]2758.13781534055[/C][C]-113.137815340552[/C][/ROW]
[ROW][C]99[/C][C]2724[/C][C]2898.27093773928[/C][C]-174.270937739278[/C][/ROW]
[ROW][C]100[/C][C]2550[/C][C]2584.32671806898[/C][C]-34.3267180689845[/C][/ROW]
[ROW][C]101[/C][C]2707[/C][C]2800.77170315402[/C][C]-93.7717031540164[/C][/ROW]
[ROW][C]102[/C][C]2679[/C][C]2721.54044517074[/C][C]-42.5404451707391[/C][/ROW]
[ROW][C]103[/C][C]2878[/C][C]2811.62534044241[/C][C]66.3746595575903[/C][/ROW]
[ROW][C]104[/C][C]2307[/C][C]2593.41613650956[/C][C]-286.416136509562[/C][/ROW]
[ROW][C]105[/C][C]2496[/C][C]2627.47141273665[/C][C]-131.471412736649[/C][/ROW]
[ROW][C]106[/C][C]2637[/C][C]2814.24604208603[/C][C]-177.246042086033[/C][/ROW]
[ROW][C]107[/C][C]2436[/C][C]2603.03455725743[/C][C]-167.034557257429[/C][/ROW]
[ROW][C]108[/C][C]2426[/C][C]2162.50152212482[/C][C]263.498477875175[/C][/ROW]
[ROW][C]109[/C][C]2607[/C][C]2914.89317901695[/C][C]-307.893179016946[/C][/ROW]
[ROW][C]110[/C][C]2533[/C][C]2579.06937186539[/C][C]-46.0693718653852[/C][/ROW]
[ROW][C]111[/C][C]2888[/C][C]2715.21385861468[/C][C]172.786141385321[/C][/ROW]
[ROW][C]112[/C][C]2520[/C][C]2476.71930043956[/C][C]43.2806995604383[/C][/ROW]
[ROW][C]113[/C][C]2229[/C][C]2691.30757987716[/C][C]-462.307579877164[/C][/ROW]
[ROW][C]114[/C][C]2804[/C][C]2570.75007086764[/C][C]233.249929132360[/C][/ROW]
[ROW][C]115[/C][C]2661[/C][C]2720.18852953502[/C][C]-59.1885295350189[/C][/ROW]
[ROW][C]116[/C][C]2547[/C][C]2412.76305513361[/C][C]134.236944866393[/C][/ROW]
[ROW][C]117[/C][C]2509[/C][C]2535.66279636221[/C][C]-26.6627963622095[/C][/ROW]
[ROW][C]118[/C][C]2465[/C][C]2727.33314429513[/C][C]-262.333144295130[/C][/ROW]
[ROW][C]119[/C][C]2629[/C][C]2506.06583979411[/C][C]122.934160205891[/C][/ROW]
[ROW][C]120[/C][C]2706[/C][C]2192.20402442006[/C][C]513.795975579937[/C][/ROW]
[ROW][C]121[/C][C]2666[/C][C]2863.87617318974[/C][C]-197.876173189741[/C][/ROW]
[ROW][C]122[/C][C]2432[/C][C]2596.16944140611[/C][C]-164.169441406112[/C][/ROW]
[ROW][C]123[/C][C]2836[/C][C]2760.22178266141[/C][C]75.7782173385922[/C][/ROW]
[ROW][C]124[/C][C]2888[/C][C]2482.18944523287[/C][C]405.810554767129[/C][/ROW]
[ROW][C]125[/C][C]2566[/C][C]2645.00988814034[/C][C]-79.0098881403383[/C][/ROW]
[ROW][C]126[/C][C]2802[/C][C]2718.16393883837[/C][C]83.8360611616349[/C][/ROW]
[ROW][C]127[/C][C]2611[/C][C]2788.44668684973[/C][C]-177.446686849731[/C][/ROW]
[ROW][C]128[/C][C]2683[/C][C]2504.08103447305[/C][C]178.918965526947[/C][/ROW]
[ROW][C]129[/C][C]2675[/C][C]2601.05910430652[/C][C]73.9408956934803[/C][/ROW]
[ROW][C]130[/C][C]2434[/C][C]2759.51332030403[/C][C]-325.513320304027[/C][/ROW]
[ROW][C]131[/C][C]2693[/C][C]2607.66488658061[/C][C]85.3351134193904[/C][/ROW]
[ROW][C]132[/C][C]2619[/C][C]2367.84703867423[/C][C]251.152961325766[/C][/ROW]
[ROW][C]133[/C][C]2903[/C][C]2859.9128476899[/C][C]43.0871523101023[/C][/ROW]
[ROW][C]134[/C][C]2550[/C][C]2632.58383963681[/C][C]-82.5838396368113[/C][/ROW]
[ROW][C]135[/C][C]2900[/C][C]2856.71364829638[/C][C]43.2863517036203[/C][/ROW]
[ROW][C]136[/C][C]2456[/C][C]2641.17985851695[/C][C]-185.179858516947[/C][/ROW]
[ROW][C]137[/C][C]2912[/C][C]2624.65343156555[/C][C]287.346568434448[/C][/ROW]
[ROW][C]138[/C][C]2883[/C][C]2781.38292484963[/C][C]101.617075150371[/C][/ROW]
[ROW][C]139[/C][C]2464[/C][C]2801.64181612116[/C][C]-337.641816121165[/C][/ROW]
[ROW][C]140[/C][C]2655[/C][C]2567.18995275480[/C][C]87.8100472452034[/C][/ROW]
[ROW][C]141[/C][C]2447[/C][C]2630.46470664228[/C][C]-183.464706642280[/C][/ROW]
[ROW][C]142[/C][C]2592[/C][C]2672.68008166223[/C][C]-80.6800816622299[/C][/ROW]
[ROW][C]143[/C][C]2698[/C][C]2637.48871502547[/C][C]60.5112849745274[/C][/ROW]
[ROW][C]144[/C][C]2274[/C][C]2427.703940712[/C][C]-153.703940712002[/C][/ROW]
[ROW][C]145[/C][C]2901[/C][C]2821.66612296754[/C][C]79.3338770324572[/C][/ROW]
[ROW][C]146[/C][C]2397[/C][C]2573.69222964465[/C][C]-176.692229644645[/C][/ROW]
[ROW][C]147[/C][C]3004[/C][C]2809.87629489622[/C][C]194.123705103777[/C][/ROW]
[ROW][C]148[/C][C]2614[/C][C]2568.80246543478[/C][C]45.1975345652249[/C][/ROW]
[ROW][C]149[/C][C]2882[/C][C]2679.29803629241[/C][C]202.701963707590[/C][/ROW]
[ROW][C]150[/C][C]2671[/C][C]2786.76284915367[/C][C]-115.762849153666[/C][/ROW]
[ROW][C]151[/C][C]2761[/C][C]2688.14034050735[/C][C]72.8596594926476[/C][/ROW]
[ROW][C]152[/C][C]2806[/C][C]2596.13135090133[/C][C]209.86864909867[/C][/ROW]
[ROW][C]153[/C][C]2414[/C][C]2621.63031466415[/C][C]-207.630314664154[/C][/ROW]
[ROW][C]154[/C][C]2673[/C][C]2681.35315273477[/C][C]-8.35315273476772[/C][/ROW]
[ROW][C]155[/C][C]2748[/C][C]2684.77674091374[/C][C]63.2232590862577[/C][/ROW]
[ROW][C]156[/C][C]2112[/C][C]2432.31506942704[/C][C]-320.315069427041[/C][/ROW]
[ROW][C]157[/C][C]2903[/C][C]2850.35135629665[/C][C]52.6486437033468[/C][/ROW]
[ROW][C]158[/C][C]2633[/C][C]2547.05929964404[/C][C]85.9407003559568[/C][/ROW]
[ROW][C]159[/C][C]2684[/C][C]2894.47316074841[/C][C]-210.473160748406[/C][/ROW]
[ROW][C]160[/C][C]2861[/C][C]2567.47681661262[/C][C]293.523183387385[/C][/ROW]
[ROW][C]161[/C][C]2504[/C][C]2744.07328749078[/C][C]-240.073287490779[/C][/ROW]
[ROW][C]162[/C][C]2708[/C][C]2725.99595467241[/C][C]-17.9959546724108[/C][/ROW]
[ROW][C]163[/C][C]2961[/C][C]2678.72167222405[/C][C]282.278327775951[/C][/ROW]
[ROW][C]164[/C][C]2535[/C][C]2643.2073854769[/C][C]-108.207385476902[/C][/ROW]
[ROW][C]165[/C][C]2688[/C][C]2540.3673898731[/C][C]147.632610126898[/C][/ROW]
[ROW][C]166[/C][C]2699[/C][C]2689.28140326720[/C][C]9.71859673279778[/C][/ROW]
[ROW][C]167[/C][C]2469[/C][C]2709.66580900261[/C][C]-240.665809002614[/C][/ROW]
[ROW][C]168[/C][C]2585[/C][C]2337.72725984697[/C][C]247.272740153027[/C][/ROW]
[ROW][C]169[/C][C]2582[/C][C]2909.48759748182[/C][C]-327.487597481824[/C][/ROW]
[ROW][C]170[/C][C]2480[/C][C]2560.44558509239[/C][C]-80.4455850923878[/C][/ROW]
[ROW][C]171[/C][C]2709[/C][C]2824.93061849702[/C][C]-115.930618497020[/C][/ROW]
[ROW][C]172[/C][C]2441[/C][C]2612.52026222978[/C][C]-171.520262229780[/C][/ROW]
[ROW][C]173[/C][C]2182[/C][C]2616.87375213901[/C][C]-434.873752139014[/C][/ROW]
[ROW][C]174[/C][C]2585[/C][C]2616.09677912458[/C][C]-31.0967791245835[/C][/ROW]
[ROW][C]175[/C][C]2881[/C][C]2626.93542578866[/C][C]254.064574211342[/C][/ROW]
[ROW][C]176[/C][C]2422[/C][C]2508.07901519761[/C][C]-86.0790151976094[/C][/ROW]
[ROW][C]177[/C][C]2690[/C][C]2459.23972970158[/C][C]230.760270298420[/C][/ROW]
[ROW][C]178[/C][C]2659[/C][C]2591.19651239118[/C][C]67.8034876088223[/C][/ROW]
[ROW][C]179[/C][C]2535[/C][C]2568.52873052359[/C][C]-33.5287305235893[/C][/ROW]
[ROW][C]180[/C][C]2613[/C][C]2323.19482294785[/C][C]289.805177052150[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103655&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103655&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
1334583422.4051816239335.5948183760665
1430242998.6051742611425.3948257388574
1531003080.7942970572219.2057029427774
1629042882.6871989648821.3128010351197
1730563048.637563714727.36243628527927
1827712782.37901160563-11.3790116056325
1928972951.98613043277-54.9861304327719
2027722842.95464845602-70.954648456016
2128572808.0402723902648.9597276097415
2230202893.61231857154126.387681428457
2326482969.37556993068-321.375569930676
2423642364.15648759912-0.156487599118918
2531943441.44106969978-247.441069699777
2630132976.2007957424736.7992042575265
2725603058.35775894735-498.357758947352
2830742788.55898274627285.441017253727
2927462987.54855207437-241.548552074371
3028462682.43953945554163.560460544459
3131842866.74908255775317.250917442254
3223542805.49072674787-451.490726747872
3330802741.68510612475338.314893875249
3429632882.3731207751180.626879224892
3524302861.07017885997-431.070178859974
3622962305.01311469469-9.01311469469147
3724163330.66759057353-914.66759057353
3826472829.73229124656-182.732291246560
3927892772.4363876964116.5636123035883
4026852730.91987024959-45.9198702495883
4126662776.83436164114-110.834361641138
4228822570.48872899831311.511271001694
4329532805.33628640245147.663713597548
4421272564.62161996628-437.621619966281
4525632661.07162863300-98.0716286329962
4630612688.28349738175372.716502618251
4728092602.91886874011206.081131259893
4828612219.24546054001641.754539459988
4927813151.83603455409-370.836034554090
5025552873.8848649455-318.884864945500
5132062838.27472611076367.725273889239
5225702833.09275401697-263.092754016972
5324102836.33082494429-426.330824944294
5431952671.79943704686523.200562953137
5527362903.0502878742-167.050287874201
5627432500.90305204697242.096947953030
5729342760.11919310883173.880806891166
5826682920.57670829879-252.57670829879
5929072715.68054441769191.319455582312
6028662418.13393696478447.866063035221
6129833119.84049864061-136.840498640615
6228782884.93089264961-6.93089264961054
6332253031.3896562673193.610343732701
6425152875.36213191657-360.362131916567
6531932832.59697759902360.403022400985
6626632969.03574533904-306.035745339044
6729082947.02867794113-39.0286779411263
6828962645.47282865107250.527171348928
6928532892.50086685623-39.5008668562332
7030282937.7532726802790.2467273197299
7130532870.17979355190182.820206448097
7224552623.72309981415-168.723099814146
7334013122.49152914244278.50847085756
7429692971.39388162149-2.39388162148953
7532433159.2847188176683.7152811823435
7628492876.61628131111-27.6162813111146
7732963025.65228971797270.347710282028
7831213015.69043134138105.309568658622
7931943105.0378943498788.9621056501337
8030232880.42577044919142.574229550809
8129843054.86431943051-70.86431943051
8235253122.74308615555402.256913844450
8331163117.8810162738-1.88101627379910
8423832775.92156185318-392.921561853182
8532943334.70299387297-40.702993872972
8628823083.37718221263-201.377182212630
8728203261.49359608024-441.493596080236
8825832883.8300793168-300.830079316801
8928033054.96031689203-251.960316892034
9027672938.93470629782-171.93470629782
9129452985.77636065501-40.7763606550143
9227162753.00249700534-37.0024970053441
9326442858.39275895808-214.392758958081
9429563000.58009200437-44.5800920043748
9525982850.88571684403-252.885716844031
9621712393.53238609267-222.532386092675
9729943045.08676700320-51.0867670032048
9826452758.13781534055-113.137815340552
9927242898.27093773928-174.270937739278
10025502584.32671806898-34.3267180689845
10127072800.77170315402-93.7717031540164
10226792721.54044517074-42.5404451707391
10328782811.6253404424166.3746595575903
10423072593.41613650956-286.416136509562
10524962627.47141273665-131.471412736649
10626372814.24604208603-177.246042086033
10724362603.03455725743-167.034557257429
10824262162.50152212482263.498477875175
10926072914.89317901695-307.893179016946
11025332579.06937186539-46.0693718653852
11128882715.21385861468172.786141385321
11225202476.7193004395643.2806995604383
11322292691.30757987716-462.307579877164
11428042570.75007086764233.249929132360
11526612720.18852953502-59.1885295350189
11625472412.76305513361134.236944866393
11725092535.66279636221-26.6627963622095
11824652727.33314429513-262.333144295130
11926292506.06583979411122.934160205891
12027062192.20402442006513.795975579937
12126662863.87617318974-197.876173189741
12224322596.16944140611-164.169441406112
12328362760.2217826614175.7782173385922
12428882482.18944523287405.810554767129
12525662645.00988814034-79.0098881403383
12628022718.1639388383783.8360611616349
12726112788.44668684973-177.446686849731
12826832504.08103447305178.918965526947
12926752601.0591043065273.9408956934803
13024342759.51332030403-325.513320304027
13126932607.6648865806185.3351134193904
13226192367.84703867423251.152961325766
13329032859.912847689943.0871523101023
13425502632.58383963681-82.5838396368113
13529002856.7136482963843.2863517036203
13624562641.17985851695-185.179858516947
13729122624.65343156555287.346568434448
13828832781.38292484963101.617075150371
13924642801.64181612116-337.641816121165
14026552567.1899527548087.8100472452034
14124472630.46470664228-183.464706642280
14225922672.68008166223-80.6800816622299
14326982637.4887150254760.5112849745274
14422742427.703940712-153.703940712002
14529012821.6661229675479.3338770324572
14623972573.69222964465-176.692229644645
14730042809.87629489622194.123705103777
14826142568.8024654347845.1975345652249
14928822679.29803629241202.701963707590
15026712786.76284915367-115.762849153666
15127612688.1403405073572.8596594926476
15228062596.13135090133209.86864909867
15324142621.63031466415-207.630314664154
15426732681.35315273477-8.35315273476772
15527482684.7767409137463.2232590862577
15621122432.31506942704-320.315069427041
15729032850.3513562966552.6486437033468
15826332547.0592996440485.9407003559568
15926842894.47316074841-210.473160748406
16028612567.47681661262293.523183387385
16125042744.07328749078-240.073287490779
16227082725.99595467241-17.9959546724108
16329612678.72167222405282.278327775951
16425352643.2073854769-108.207385476902
16526882540.3673898731147.632610126898
16626992689.281403267209.71859673279778
16724692709.66580900261-240.665809002614
16825852337.72725984697247.272740153027
16925822909.48759748182-327.487597481824
17024802560.44558509239-80.4455850923878
17127092824.93061849702-115.930618497020
17224412612.52026222978-171.520262229780
17321822616.87375213901-434.873752139014
17425852616.09677912458-31.0967791245835
17528812626.93542578866254.064574211342
17624222508.07901519761-86.0790151976094
17726902459.23972970158230.760270298420
17826592591.1965123911867.8034876088223
17925352568.52873052359-33.5287305235893
18026132323.19482294785289.805177052150







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1812784.520656493762326.38721358763242.65409939993
1822530.372294379912067.856175602332992.8884131575
1832798.764209683432331.856724723343265.67169464353
1842591.189154974552119.881573432893062.49673651621
1852566.265104687152090.548658039253041.98155133505
1862707.444021670602227.309905145543187.57813819565
1872780.672209525232296.111583906343265.23283514413
1882558.547329773072069.551323123213047.54333642293
1892585.933703689012092.493413004453079.37399437356
1902653.463731366132155.570224162243151.35723857002
1912601.211171316412098.855487148453103.56685548436
1922425.957535151851919.130687073912932.78438322979

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
181 & 2784.52065649376 & 2326.3872135876 & 3242.65409939993 \tabularnewline
182 & 2530.37229437991 & 2067.85617560233 & 2992.8884131575 \tabularnewline
183 & 2798.76420968343 & 2331.85672472334 & 3265.67169464353 \tabularnewline
184 & 2591.18915497455 & 2119.88157343289 & 3062.49673651621 \tabularnewline
185 & 2566.26510468715 & 2090.54865803925 & 3041.98155133505 \tabularnewline
186 & 2707.44402167060 & 2227.30990514554 & 3187.57813819565 \tabularnewline
187 & 2780.67220952523 & 2296.11158390634 & 3265.23283514413 \tabularnewline
188 & 2558.54732977307 & 2069.55132312321 & 3047.54333642293 \tabularnewline
189 & 2585.93370368901 & 2092.49341300445 & 3079.37399437356 \tabularnewline
190 & 2653.46373136613 & 2155.57022416224 & 3151.35723857002 \tabularnewline
191 & 2601.21117131641 & 2098.85548714845 & 3103.56685548436 \tabularnewline
192 & 2425.95753515185 & 1919.13068707391 & 2932.78438322979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103655&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]181[/C][C]2784.52065649376[/C][C]2326.3872135876[/C][C]3242.65409939993[/C][/ROW]
[ROW][C]182[/C][C]2530.37229437991[/C][C]2067.85617560233[/C][C]2992.8884131575[/C][/ROW]
[ROW][C]183[/C][C]2798.76420968343[/C][C]2331.85672472334[/C][C]3265.67169464353[/C][/ROW]
[ROW][C]184[/C][C]2591.18915497455[/C][C]2119.88157343289[/C][C]3062.49673651621[/C][/ROW]
[ROW][C]185[/C][C]2566.26510468715[/C][C]2090.54865803925[/C][C]3041.98155133505[/C][/ROW]
[ROW][C]186[/C][C]2707.44402167060[/C][C]2227.30990514554[/C][C]3187.57813819565[/C][/ROW]
[ROW][C]187[/C][C]2780.67220952523[/C][C]2296.11158390634[/C][C]3265.23283514413[/C][/ROW]
[ROW][C]188[/C][C]2558.54732977307[/C][C]2069.55132312321[/C][C]3047.54333642293[/C][/ROW]
[ROW][C]189[/C][C]2585.93370368901[/C][C]2092.49341300445[/C][C]3079.37399437356[/C][/ROW]
[ROW][C]190[/C][C]2653.46373136613[/C][C]2155.57022416224[/C][C]3151.35723857002[/C][/ROW]
[ROW][C]191[/C][C]2601.21117131641[/C][C]2098.85548714845[/C][C]3103.56685548436[/C][/ROW]
[ROW][C]192[/C][C]2425.95753515185[/C][C]1919.13068707391[/C][C]2932.78438322979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103655&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103655&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
1812784.520656493762326.38721358763242.65409939993
1822530.372294379912067.856175602332992.8884131575
1832798.764209683432331.856724723343265.67169464353
1842591.189154974552119.881573432893062.49673651621
1852566.265104687152090.548658039253041.98155133505
1862707.444021670602227.309905145543187.57813819565
1872780.672209525232296.111583906343265.23283514413
1882558.547329773072069.551323123213047.54333642293
1892585.933703689012092.493413004453079.37399437356
1902653.463731366132155.570224162243151.35723857002
1912601.211171316412098.855487148453103.56685548436
1922425.957535151851919.130687073912932.78438322979



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')