Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 28 Nov 2014 16:38:06 +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/2014/Nov/28/t1417192820liybc6kwh7nuugp.htm/, Retrieved Sun, 19 May 2024 12:59:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=260969, Retrieved Sun, 19 May 2024 12:59:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-11-28 16:38:06] [d1a83db1c928d515dd26931964d56abe] [Current]
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Dataseries X:
411
2930
2773
2785
2789
2815
3034
3089
3035
3061
2951
2891
2817
2793
2805
2757
2786
2773
2609
2653
2537
2727
2558
2585
2558
2574
2561
2639
2450
2422
2559
2372
2359
2548
2534
2370
2540
2474
2390
2640
2523
2681
2666
2522
2646
2691
2729
2727
2731
2772
2911
2860
3003
397
2550
3038
3011
3082
3192
3143
3033
3211
3170
3293
3039
3038
3067
2974
3059
2859
2727
2560
2652
2571
2499
2601
2577
2498
2539
2493
2533
2461
2488
2724
2486
2389
2442
2402
2436
2477
2311
2498
2369
2576
2604
2543
2679
2469
2503
2571
2565
2743
2598
2590
2787
2753
772
1992
2816
2739
2708
2708
2853
2794
2750
2713
2762
2769
2660
2691
2705
2591
2608
2610
2527
2616
2618
2555
2505
2492
2428
2439
2477
2650
2560
2803
2641
2483
2520
2406
2454
2629





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=260969&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=260969&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260969&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'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.845665744037398
beta0.445318913329734
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.845665744037398 \tabularnewline
beta & 0.445318913329734 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260969&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]0.845665744037398[/C][/ROW]
[ROW][C]beta[/C][C]0.445318913329734[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260969&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260969&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
alpha0.845665744037398
beta0.445318913329734
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
327735449-2676
427854697.24108628785-1912.24108628785
527893871.23423495663-1082.23423495663
628153339.57612625842-524.576126258421
730343081.95975514424-47.9597551442366
830893209.34031236881-120.34031236881
930353230.19203923491-195.192039234906
1030613114.23666928625-53.2366692862488
1129513098.27964501467-147.279645014671
1228912947.32951624473-56.3295162447266
1328172852.07960974582-35.0796097458192
1427932761.5893576710931.4106423289077
1528052739.1565977286265.8434022713786
1627572770.63847276629-13.6384727662885
1727862729.7691233947556.2308766052515
1827732769.161928594843.83807140515955
1926092765.6933161605-156.693316160498
2026532567.4595236001585.5404763998522
2125372606.28832074218-69.2883207421828
2227272488.09035340636238.90964659364
2325582720.49606024505-162.496060245051
2425852552.2521656217832.7478343782209
2525582561.45188247852-3.45188247852138
2625742538.7387911431835.2612088568153
2725612562.04308714364-1.04308714363788
2826392554.2532664765884.7467335234242
2924502650.92781123657-200.927811236566
3024222430.34958419941-8.34958419940995
3125592369.48378896781189.516211032188
3223722547.31640866646-175.316408666457
3323592350.600006657588.39999334242066
3425482312.4096339197235.590366080302
3525342555.06757659557-21.0675765955684
3623702572.74483052733-202.744830527333
3725402360.43198596688179.56801403312
3824742539.05170658245-65.051706582452
3923902486.30702516505-96.3070251650502
4026402370.86243738794269.137562612056
4125232665.81658926964-142.81658926964
4226812558.61179173721122.388208262789
4326662721.77189827222-55.7718982722204
4425222713.26491359313-191.264913593125
4526462518.14749175565127.852508244352
4626912641.0448394536449.9551605463557
4727292716.8797300283712.1202699716332
4827272765.28333369964-38.2833336996373
4927312756.64517935627-25.6451793562669
5027722749.0369367477622.9630632522403
5129112791.18270160021119.817298399786
5228602960.35688553366-100.356885533658
5330032905.5438095134897.4561904865168
543973054.71559498198-2657.71559498198
552550-126.9386586675412676.93865866754
5630382210.85231930531827.147680694695
5730113295.83476458487-284.83476458487
5830823333.1855532827-251.185553282702
5931923304.39812111171-112.398121111709
6031433350.65035080331-207.650350803305
6130333238.15178988836-205.151789888364
6232113050.50786886444160.492131135563
6331703232.5163705259-62.5163705258997
6432933202.3911223253290.6088776746801
6530393335.88113441299-296.881134412985
6630383029.881368623888.11863137611863
6730672984.866859806182.1331401938955
6829743033.37448296374-59.374482963744
6930592939.85406374135119.145936258646
7028593042.17152901166-183.171529011659
7127272819.84872992316-92.8487299231579
7225602638.94283650508-78.9428365050785
7326522440.06752298195211.932477018046
7425712566.987350784624.01264921537677
7524992519.58763008916-20.5876300891578
7626012443.63118071497157.36881928503
7725772577.43007768951-0.430077689512473
7824982577.62188968005-79.6218896800547
7925392480.8590159726158.1409840273891
8024932522.49285377868-29.4928537786818
8125332478.9110151057554.0889848942543
8224612526.3808964375-65.3808964374962
8324882448.1973377700939.8026622299126
8427242473.95323389231250.046766107692
8524862771.67071578647-285.670715786468
8623892508.76926846559-119.769268465587
8724422341.06096941699100.93903058301
8824022398.010843735543.98915626445569
8924362374.4758106021961.5241893978064
9024772422.7656370158454.2343629841648
9123112485.31487723982-174.314877239819
9224982288.94244893124209.057551068762
9323692495.50413224988-126.504132249883
9425762370.65248360939205.347516390612
9526042603.768422640090.231577359906169
9625432663.51204841447-120.512048414475
9726792575.76317924066103.236820759342
9824692716.10911641704-247.109116417042
9925032467.120439012335.8795609876984
10025712470.95751000342100.042489996584
10125652566.73006846013-1.73006846012731
10227432575.78553242169167.214467578313
10325982790.68305838156-192.683058381557
10425902628.66487923484-38.6648792348351
10527872582.33375454207204.666245457934
10627532818.8548823058-65.8548823058004
1077722801.80520658018-2029.80520658018
1081992359.5037472085571632.49625279144
10928161629.068491361411186.93150863859
11027392968.82205926416-229.822059264156
11127083023.92675937934-315.926759379344
11227082887.24050570616-179.240505706156
11328532798.6447820914754.3552179085254
11427942928.06264305049-134.062643050494
11527502847.65519530232-97.6551953023231
11627132761.26021615419-48.2602161541927
11727622698.4625181419263.5374818580763
11827692754.1359442655214.8640557344775
11926602774.24559014396-114.245590143959
12026912642.1477759325948.8522240674051
12127052666.3735016068638.6264983931405
12225912696.49807110228-105.498071102278
12326082565.0118104632642.9881895367448
12426102575.2842570508134.7157429491949
12525272591.63461356315-64.6346135631507
12626162499.62696637917116.373033620833
12726182604.5163171334913.4836828665075
12825552627.47350147119-72.4735014711919
12925052550.44677477905-45.4467747790518
13024922479.1607809274912.8392190725126
13124282462.00038914339-34.0003891433871
13224392392.4251063731446.5748936268574
13324772408.5292635030568.4707364969454
13426502468.93544460159181.064555398414
13525602692.74563429593-132.745634295928
13628032601.18649188481201.813508115189
13726412868.55369634454-227.553696344538
13824832687.12510165737-204.125101657367
13925202448.6376009403771.3623990596252
14024062469.99487615885-63.9948761588471
14124542352.78524929983101.214750700171
14226292413.40430359858215.595696401422

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 2773 & 5449 & -2676 \tabularnewline
4 & 2785 & 4697.24108628785 & -1912.24108628785 \tabularnewline
5 & 2789 & 3871.23423495663 & -1082.23423495663 \tabularnewline
6 & 2815 & 3339.57612625842 & -524.576126258421 \tabularnewline
7 & 3034 & 3081.95975514424 & -47.9597551442366 \tabularnewline
8 & 3089 & 3209.34031236881 & -120.34031236881 \tabularnewline
9 & 3035 & 3230.19203923491 & -195.192039234906 \tabularnewline
10 & 3061 & 3114.23666928625 & -53.2366692862488 \tabularnewline
11 & 2951 & 3098.27964501467 & -147.279645014671 \tabularnewline
12 & 2891 & 2947.32951624473 & -56.3295162447266 \tabularnewline
13 & 2817 & 2852.07960974582 & -35.0796097458192 \tabularnewline
14 & 2793 & 2761.58935767109 & 31.4106423289077 \tabularnewline
15 & 2805 & 2739.15659772862 & 65.8434022713786 \tabularnewline
16 & 2757 & 2770.63847276629 & -13.6384727662885 \tabularnewline
17 & 2786 & 2729.76912339475 & 56.2308766052515 \tabularnewline
18 & 2773 & 2769.16192859484 & 3.83807140515955 \tabularnewline
19 & 2609 & 2765.6933161605 & -156.693316160498 \tabularnewline
20 & 2653 & 2567.45952360015 & 85.5404763998522 \tabularnewline
21 & 2537 & 2606.28832074218 & -69.2883207421828 \tabularnewline
22 & 2727 & 2488.09035340636 & 238.90964659364 \tabularnewline
23 & 2558 & 2720.49606024505 & -162.496060245051 \tabularnewline
24 & 2585 & 2552.25216562178 & 32.7478343782209 \tabularnewline
25 & 2558 & 2561.45188247852 & -3.45188247852138 \tabularnewline
26 & 2574 & 2538.73879114318 & 35.2612088568153 \tabularnewline
27 & 2561 & 2562.04308714364 & -1.04308714363788 \tabularnewline
28 & 2639 & 2554.25326647658 & 84.7467335234242 \tabularnewline
29 & 2450 & 2650.92781123657 & -200.927811236566 \tabularnewline
30 & 2422 & 2430.34958419941 & -8.34958419940995 \tabularnewline
31 & 2559 & 2369.48378896781 & 189.516211032188 \tabularnewline
32 & 2372 & 2547.31640866646 & -175.316408666457 \tabularnewline
33 & 2359 & 2350.60000665758 & 8.39999334242066 \tabularnewline
34 & 2548 & 2312.4096339197 & 235.590366080302 \tabularnewline
35 & 2534 & 2555.06757659557 & -21.0675765955684 \tabularnewline
36 & 2370 & 2572.74483052733 & -202.744830527333 \tabularnewline
37 & 2540 & 2360.43198596688 & 179.56801403312 \tabularnewline
38 & 2474 & 2539.05170658245 & -65.051706582452 \tabularnewline
39 & 2390 & 2486.30702516505 & -96.3070251650502 \tabularnewline
40 & 2640 & 2370.86243738794 & 269.137562612056 \tabularnewline
41 & 2523 & 2665.81658926964 & -142.81658926964 \tabularnewline
42 & 2681 & 2558.61179173721 & 122.388208262789 \tabularnewline
43 & 2666 & 2721.77189827222 & -55.7718982722204 \tabularnewline
44 & 2522 & 2713.26491359313 & -191.264913593125 \tabularnewline
45 & 2646 & 2518.14749175565 & 127.852508244352 \tabularnewline
46 & 2691 & 2641.04483945364 & 49.9551605463557 \tabularnewline
47 & 2729 & 2716.87973002837 & 12.1202699716332 \tabularnewline
48 & 2727 & 2765.28333369964 & -38.2833336996373 \tabularnewline
49 & 2731 & 2756.64517935627 & -25.6451793562669 \tabularnewline
50 & 2772 & 2749.03693674776 & 22.9630632522403 \tabularnewline
51 & 2911 & 2791.18270160021 & 119.817298399786 \tabularnewline
52 & 2860 & 2960.35688553366 & -100.356885533658 \tabularnewline
53 & 3003 & 2905.54380951348 & 97.4561904865168 \tabularnewline
54 & 397 & 3054.71559498198 & -2657.71559498198 \tabularnewline
55 & 2550 & -126.938658667541 & 2676.93865866754 \tabularnewline
56 & 3038 & 2210.85231930531 & 827.147680694695 \tabularnewline
57 & 3011 & 3295.83476458487 & -284.83476458487 \tabularnewline
58 & 3082 & 3333.1855532827 & -251.185553282702 \tabularnewline
59 & 3192 & 3304.39812111171 & -112.398121111709 \tabularnewline
60 & 3143 & 3350.65035080331 & -207.650350803305 \tabularnewline
61 & 3033 & 3238.15178988836 & -205.151789888364 \tabularnewline
62 & 3211 & 3050.50786886444 & 160.492131135563 \tabularnewline
63 & 3170 & 3232.5163705259 & -62.5163705258997 \tabularnewline
64 & 3293 & 3202.39112232532 & 90.6088776746801 \tabularnewline
65 & 3039 & 3335.88113441299 & -296.881134412985 \tabularnewline
66 & 3038 & 3029.88136862388 & 8.11863137611863 \tabularnewline
67 & 3067 & 2984.8668598061 & 82.1331401938955 \tabularnewline
68 & 2974 & 3033.37448296374 & -59.374482963744 \tabularnewline
69 & 3059 & 2939.85406374135 & 119.145936258646 \tabularnewline
70 & 2859 & 3042.17152901166 & -183.171529011659 \tabularnewline
71 & 2727 & 2819.84872992316 & -92.8487299231579 \tabularnewline
72 & 2560 & 2638.94283650508 & -78.9428365050785 \tabularnewline
73 & 2652 & 2440.06752298195 & 211.932477018046 \tabularnewline
74 & 2571 & 2566.98735078462 & 4.01264921537677 \tabularnewline
75 & 2499 & 2519.58763008916 & -20.5876300891578 \tabularnewline
76 & 2601 & 2443.63118071497 & 157.36881928503 \tabularnewline
77 & 2577 & 2577.43007768951 & -0.430077689512473 \tabularnewline
78 & 2498 & 2577.62188968005 & -79.6218896800547 \tabularnewline
79 & 2539 & 2480.85901597261 & 58.1409840273891 \tabularnewline
80 & 2493 & 2522.49285377868 & -29.4928537786818 \tabularnewline
81 & 2533 & 2478.91101510575 & 54.0889848942543 \tabularnewline
82 & 2461 & 2526.3808964375 & -65.3808964374962 \tabularnewline
83 & 2488 & 2448.19733777009 & 39.8026622299126 \tabularnewline
84 & 2724 & 2473.95323389231 & 250.046766107692 \tabularnewline
85 & 2486 & 2771.67071578647 & -285.670715786468 \tabularnewline
86 & 2389 & 2508.76926846559 & -119.769268465587 \tabularnewline
87 & 2442 & 2341.06096941699 & 100.93903058301 \tabularnewline
88 & 2402 & 2398.01084373554 & 3.98915626445569 \tabularnewline
89 & 2436 & 2374.47581060219 & 61.5241893978064 \tabularnewline
90 & 2477 & 2422.76563701584 & 54.2343629841648 \tabularnewline
91 & 2311 & 2485.31487723982 & -174.314877239819 \tabularnewline
92 & 2498 & 2288.94244893124 & 209.057551068762 \tabularnewline
93 & 2369 & 2495.50413224988 & -126.504132249883 \tabularnewline
94 & 2576 & 2370.65248360939 & 205.347516390612 \tabularnewline
95 & 2604 & 2603.76842264009 & 0.231577359906169 \tabularnewline
96 & 2543 & 2663.51204841447 & -120.512048414475 \tabularnewline
97 & 2679 & 2575.76317924066 & 103.236820759342 \tabularnewline
98 & 2469 & 2716.10911641704 & -247.109116417042 \tabularnewline
99 & 2503 & 2467.1204390123 & 35.8795609876984 \tabularnewline
100 & 2571 & 2470.95751000342 & 100.042489996584 \tabularnewline
101 & 2565 & 2566.73006846013 & -1.73006846012731 \tabularnewline
102 & 2743 & 2575.78553242169 & 167.214467578313 \tabularnewline
103 & 2598 & 2790.68305838156 & -192.683058381557 \tabularnewline
104 & 2590 & 2628.66487923484 & -38.6648792348351 \tabularnewline
105 & 2787 & 2582.33375454207 & 204.666245457934 \tabularnewline
106 & 2753 & 2818.8548823058 & -65.8548823058004 \tabularnewline
107 & 772 & 2801.80520658018 & -2029.80520658018 \tabularnewline
108 & 1992 & 359.503747208557 & 1632.49625279144 \tabularnewline
109 & 2816 & 1629.06849136141 & 1186.93150863859 \tabularnewline
110 & 2739 & 2968.82205926416 & -229.822059264156 \tabularnewline
111 & 2708 & 3023.92675937934 & -315.926759379344 \tabularnewline
112 & 2708 & 2887.24050570616 & -179.240505706156 \tabularnewline
113 & 2853 & 2798.64478209147 & 54.3552179085254 \tabularnewline
114 & 2794 & 2928.06264305049 & -134.062643050494 \tabularnewline
115 & 2750 & 2847.65519530232 & -97.6551953023231 \tabularnewline
116 & 2713 & 2761.26021615419 & -48.2602161541927 \tabularnewline
117 & 2762 & 2698.46251814192 & 63.5374818580763 \tabularnewline
118 & 2769 & 2754.13594426552 & 14.8640557344775 \tabularnewline
119 & 2660 & 2774.24559014396 & -114.245590143959 \tabularnewline
120 & 2691 & 2642.14777593259 & 48.8522240674051 \tabularnewline
121 & 2705 & 2666.37350160686 & 38.6264983931405 \tabularnewline
122 & 2591 & 2696.49807110228 & -105.498071102278 \tabularnewline
123 & 2608 & 2565.01181046326 & 42.9881895367448 \tabularnewline
124 & 2610 & 2575.28425705081 & 34.7157429491949 \tabularnewline
125 & 2527 & 2591.63461356315 & -64.6346135631507 \tabularnewline
126 & 2616 & 2499.62696637917 & 116.373033620833 \tabularnewline
127 & 2618 & 2604.51631713349 & 13.4836828665075 \tabularnewline
128 & 2555 & 2627.47350147119 & -72.4735014711919 \tabularnewline
129 & 2505 & 2550.44677477905 & -45.4467747790518 \tabularnewline
130 & 2492 & 2479.16078092749 & 12.8392190725126 \tabularnewline
131 & 2428 & 2462.00038914339 & -34.0003891433871 \tabularnewline
132 & 2439 & 2392.42510637314 & 46.5748936268574 \tabularnewline
133 & 2477 & 2408.52926350305 & 68.4707364969454 \tabularnewline
134 & 2650 & 2468.93544460159 & 181.064555398414 \tabularnewline
135 & 2560 & 2692.74563429593 & -132.745634295928 \tabularnewline
136 & 2803 & 2601.18649188481 & 201.813508115189 \tabularnewline
137 & 2641 & 2868.55369634454 & -227.553696344538 \tabularnewline
138 & 2483 & 2687.12510165737 & -204.125101657367 \tabularnewline
139 & 2520 & 2448.63760094037 & 71.3623990596252 \tabularnewline
140 & 2406 & 2469.99487615885 & -63.9948761588471 \tabularnewline
141 & 2454 & 2352.78524929983 & 101.214750700171 \tabularnewline
142 & 2629 & 2413.40430359858 & 215.595696401422 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260969&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]3[/C][C]2773[/C][C]5449[/C][C]-2676[/C][/ROW]
[ROW][C]4[/C][C]2785[/C][C]4697.24108628785[/C][C]-1912.24108628785[/C][/ROW]
[ROW][C]5[/C][C]2789[/C][C]3871.23423495663[/C][C]-1082.23423495663[/C][/ROW]
[ROW][C]6[/C][C]2815[/C][C]3339.57612625842[/C][C]-524.576126258421[/C][/ROW]
[ROW][C]7[/C][C]3034[/C][C]3081.95975514424[/C][C]-47.9597551442366[/C][/ROW]
[ROW][C]8[/C][C]3089[/C][C]3209.34031236881[/C][C]-120.34031236881[/C][/ROW]
[ROW][C]9[/C][C]3035[/C][C]3230.19203923491[/C][C]-195.192039234906[/C][/ROW]
[ROW][C]10[/C][C]3061[/C][C]3114.23666928625[/C][C]-53.2366692862488[/C][/ROW]
[ROW][C]11[/C][C]2951[/C][C]3098.27964501467[/C][C]-147.279645014671[/C][/ROW]
[ROW][C]12[/C][C]2891[/C][C]2947.32951624473[/C][C]-56.3295162447266[/C][/ROW]
[ROW][C]13[/C][C]2817[/C][C]2852.07960974582[/C][C]-35.0796097458192[/C][/ROW]
[ROW][C]14[/C][C]2793[/C][C]2761.58935767109[/C][C]31.4106423289077[/C][/ROW]
[ROW][C]15[/C][C]2805[/C][C]2739.15659772862[/C][C]65.8434022713786[/C][/ROW]
[ROW][C]16[/C][C]2757[/C][C]2770.63847276629[/C][C]-13.6384727662885[/C][/ROW]
[ROW][C]17[/C][C]2786[/C][C]2729.76912339475[/C][C]56.2308766052515[/C][/ROW]
[ROW][C]18[/C][C]2773[/C][C]2769.16192859484[/C][C]3.83807140515955[/C][/ROW]
[ROW][C]19[/C][C]2609[/C][C]2765.6933161605[/C][C]-156.693316160498[/C][/ROW]
[ROW][C]20[/C][C]2653[/C][C]2567.45952360015[/C][C]85.5404763998522[/C][/ROW]
[ROW][C]21[/C][C]2537[/C][C]2606.28832074218[/C][C]-69.2883207421828[/C][/ROW]
[ROW][C]22[/C][C]2727[/C][C]2488.09035340636[/C][C]238.90964659364[/C][/ROW]
[ROW][C]23[/C][C]2558[/C][C]2720.49606024505[/C][C]-162.496060245051[/C][/ROW]
[ROW][C]24[/C][C]2585[/C][C]2552.25216562178[/C][C]32.7478343782209[/C][/ROW]
[ROW][C]25[/C][C]2558[/C][C]2561.45188247852[/C][C]-3.45188247852138[/C][/ROW]
[ROW][C]26[/C][C]2574[/C][C]2538.73879114318[/C][C]35.2612088568153[/C][/ROW]
[ROW][C]27[/C][C]2561[/C][C]2562.04308714364[/C][C]-1.04308714363788[/C][/ROW]
[ROW][C]28[/C][C]2639[/C][C]2554.25326647658[/C][C]84.7467335234242[/C][/ROW]
[ROW][C]29[/C][C]2450[/C][C]2650.92781123657[/C][C]-200.927811236566[/C][/ROW]
[ROW][C]30[/C][C]2422[/C][C]2430.34958419941[/C][C]-8.34958419940995[/C][/ROW]
[ROW][C]31[/C][C]2559[/C][C]2369.48378896781[/C][C]189.516211032188[/C][/ROW]
[ROW][C]32[/C][C]2372[/C][C]2547.31640866646[/C][C]-175.316408666457[/C][/ROW]
[ROW][C]33[/C][C]2359[/C][C]2350.60000665758[/C][C]8.39999334242066[/C][/ROW]
[ROW][C]34[/C][C]2548[/C][C]2312.4096339197[/C][C]235.590366080302[/C][/ROW]
[ROW][C]35[/C][C]2534[/C][C]2555.06757659557[/C][C]-21.0675765955684[/C][/ROW]
[ROW][C]36[/C][C]2370[/C][C]2572.74483052733[/C][C]-202.744830527333[/C][/ROW]
[ROW][C]37[/C][C]2540[/C][C]2360.43198596688[/C][C]179.56801403312[/C][/ROW]
[ROW][C]38[/C][C]2474[/C][C]2539.05170658245[/C][C]-65.051706582452[/C][/ROW]
[ROW][C]39[/C][C]2390[/C][C]2486.30702516505[/C][C]-96.3070251650502[/C][/ROW]
[ROW][C]40[/C][C]2640[/C][C]2370.86243738794[/C][C]269.137562612056[/C][/ROW]
[ROW][C]41[/C][C]2523[/C][C]2665.81658926964[/C][C]-142.81658926964[/C][/ROW]
[ROW][C]42[/C][C]2681[/C][C]2558.61179173721[/C][C]122.388208262789[/C][/ROW]
[ROW][C]43[/C][C]2666[/C][C]2721.77189827222[/C][C]-55.7718982722204[/C][/ROW]
[ROW][C]44[/C][C]2522[/C][C]2713.26491359313[/C][C]-191.264913593125[/C][/ROW]
[ROW][C]45[/C][C]2646[/C][C]2518.14749175565[/C][C]127.852508244352[/C][/ROW]
[ROW][C]46[/C][C]2691[/C][C]2641.04483945364[/C][C]49.9551605463557[/C][/ROW]
[ROW][C]47[/C][C]2729[/C][C]2716.87973002837[/C][C]12.1202699716332[/C][/ROW]
[ROW][C]48[/C][C]2727[/C][C]2765.28333369964[/C][C]-38.2833336996373[/C][/ROW]
[ROW][C]49[/C][C]2731[/C][C]2756.64517935627[/C][C]-25.6451793562669[/C][/ROW]
[ROW][C]50[/C][C]2772[/C][C]2749.03693674776[/C][C]22.9630632522403[/C][/ROW]
[ROW][C]51[/C][C]2911[/C][C]2791.18270160021[/C][C]119.817298399786[/C][/ROW]
[ROW][C]52[/C][C]2860[/C][C]2960.35688553366[/C][C]-100.356885533658[/C][/ROW]
[ROW][C]53[/C][C]3003[/C][C]2905.54380951348[/C][C]97.4561904865168[/C][/ROW]
[ROW][C]54[/C][C]397[/C][C]3054.71559498198[/C][C]-2657.71559498198[/C][/ROW]
[ROW][C]55[/C][C]2550[/C][C]-126.938658667541[/C][C]2676.93865866754[/C][/ROW]
[ROW][C]56[/C][C]3038[/C][C]2210.85231930531[/C][C]827.147680694695[/C][/ROW]
[ROW][C]57[/C][C]3011[/C][C]3295.83476458487[/C][C]-284.83476458487[/C][/ROW]
[ROW][C]58[/C][C]3082[/C][C]3333.1855532827[/C][C]-251.185553282702[/C][/ROW]
[ROW][C]59[/C][C]3192[/C][C]3304.39812111171[/C][C]-112.398121111709[/C][/ROW]
[ROW][C]60[/C][C]3143[/C][C]3350.65035080331[/C][C]-207.650350803305[/C][/ROW]
[ROW][C]61[/C][C]3033[/C][C]3238.15178988836[/C][C]-205.151789888364[/C][/ROW]
[ROW][C]62[/C][C]3211[/C][C]3050.50786886444[/C][C]160.492131135563[/C][/ROW]
[ROW][C]63[/C][C]3170[/C][C]3232.5163705259[/C][C]-62.5163705258997[/C][/ROW]
[ROW][C]64[/C][C]3293[/C][C]3202.39112232532[/C][C]90.6088776746801[/C][/ROW]
[ROW][C]65[/C][C]3039[/C][C]3335.88113441299[/C][C]-296.881134412985[/C][/ROW]
[ROW][C]66[/C][C]3038[/C][C]3029.88136862388[/C][C]8.11863137611863[/C][/ROW]
[ROW][C]67[/C][C]3067[/C][C]2984.8668598061[/C][C]82.1331401938955[/C][/ROW]
[ROW][C]68[/C][C]2974[/C][C]3033.37448296374[/C][C]-59.374482963744[/C][/ROW]
[ROW][C]69[/C][C]3059[/C][C]2939.85406374135[/C][C]119.145936258646[/C][/ROW]
[ROW][C]70[/C][C]2859[/C][C]3042.17152901166[/C][C]-183.171529011659[/C][/ROW]
[ROW][C]71[/C][C]2727[/C][C]2819.84872992316[/C][C]-92.8487299231579[/C][/ROW]
[ROW][C]72[/C][C]2560[/C][C]2638.94283650508[/C][C]-78.9428365050785[/C][/ROW]
[ROW][C]73[/C][C]2652[/C][C]2440.06752298195[/C][C]211.932477018046[/C][/ROW]
[ROW][C]74[/C][C]2571[/C][C]2566.98735078462[/C][C]4.01264921537677[/C][/ROW]
[ROW][C]75[/C][C]2499[/C][C]2519.58763008916[/C][C]-20.5876300891578[/C][/ROW]
[ROW][C]76[/C][C]2601[/C][C]2443.63118071497[/C][C]157.36881928503[/C][/ROW]
[ROW][C]77[/C][C]2577[/C][C]2577.43007768951[/C][C]-0.430077689512473[/C][/ROW]
[ROW][C]78[/C][C]2498[/C][C]2577.62188968005[/C][C]-79.6218896800547[/C][/ROW]
[ROW][C]79[/C][C]2539[/C][C]2480.85901597261[/C][C]58.1409840273891[/C][/ROW]
[ROW][C]80[/C][C]2493[/C][C]2522.49285377868[/C][C]-29.4928537786818[/C][/ROW]
[ROW][C]81[/C][C]2533[/C][C]2478.91101510575[/C][C]54.0889848942543[/C][/ROW]
[ROW][C]82[/C][C]2461[/C][C]2526.3808964375[/C][C]-65.3808964374962[/C][/ROW]
[ROW][C]83[/C][C]2488[/C][C]2448.19733777009[/C][C]39.8026622299126[/C][/ROW]
[ROW][C]84[/C][C]2724[/C][C]2473.95323389231[/C][C]250.046766107692[/C][/ROW]
[ROW][C]85[/C][C]2486[/C][C]2771.67071578647[/C][C]-285.670715786468[/C][/ROW]
[ROW][C]86[/C][C]2389[/C][C]2508.76926846559[/C][C]-119.769268465587[/C][/ROW]
[ROW][C]87[/C][C]2442[/C][C]2341.06096941699[/C][C]100.93903058301[/C][/ROW]
[ROW][C]88[/C][C]2402[/C][C]2398.01084373554[/C][C]3.98915626445569[/C][/ROW]
[ROW][C]89[/C][C]2436[/C][C]2374.47581060219[/C][C]61.5241893978064[/C][/ROW]
[ROW][C]90[/C][C]2477[/C][C]2422.76563701584[/C][C]54.2343629841648[/C][/ROW]
[ROW][C]91[/C][C]2311[/C][C]2485.31487723982[/C][C]-174.314877239819[/C][/ROW]
[ROW][C]92[/C][C]2498[/C][C]2288.94244893124[/C][C]209.057551068762[/C][/ROW]
[ROW][C]93[/C][C]2369[/C][C]2495.50413224988[/C][C]-126.504132249883[/C][/ROW]
[ROW][C]94[/C][C]2576[/C][C]2370.65248360939[/C][C]205.347516390612[/C][/ROW]
[ROW][C]95[/C][C]2604[/C][C]2603.76842264009[/C][C]0.231577359906169[/C][/ROW]
[ROW][C]96[/C][C]2543[/C][C]2663.51204841447[/C][C]-120.512048414475[/C][/ROW]
[ROW][C]97[/C][C]2679[/C][C]2575.76317924066[/C][C]103.236820759342[/C][/ROW]
[ROW][C]98[/C][C]2469[/C][C]2716.10911641704[/C][C]-247.109116417042[/C][/ROW]
[ROW][C]99[/C][C]2503[/C][C]2467.1204390123[/C][C]35.8795609876984[/C][/ROW]
[ROW][C]100[/C][C]2571[/C][C]2470.95751000342[/C][C]100.042489996584[/C][/ROW]
[ROW][C]101[/C][C]2565[/C][C]2566.73006846013[/C][C]-1.73006846012731[/C][/ROW]
[ROW][C]102[/C][C]2743[/C][C]2575.78553242169[/C][C]167.214467578313[/C][/ROW]
[ROW][C]103[/C][C]2598[/C][C]2790.68305838156[/C][C]-192.683058381557[/C][/ROW]
[ROW][C]104[/C][C]2590[/C][C]2628.66487923484[/C][C]-38.6648792348351[/C][/ROW]
[ROW][C]105[/C][C]2787[/C][C]2582.33375454207[/C][C]204.666245457934[/C][/ROW]
[ROW][C]106[/C][C]2753[/C][C]2818.8548823058[/C][C]-65.8548823058004[/C][/ROW]
[ROW][C]107[/C][C]772[/C][C]2801.80520658018[/C][C]-2029.80520658018[/C][/ROW]
[ROW][C]108[/C][C]1992[/C][C]359.503747208557[/C][C]1632.49625279144[/C][/ROW]
[ROW][C]109[/C][C]2816[/C][C]1629.06849136141[/C][C]1186.93150863859[/C][/ROW]
[ROW][C]110[/C][C]2739[/C][C]2968.82205926416[/C][C]-229.822059264156[/C][/ROW]
[ROW][C]111[/C][C]2708[/C][C]3023.92675937934[/C][C]-315.926759379344[/C][/ROW]
[ROW][C]112[/C][C]2708[/C][C]2887.24050570616[/C][C]-179.240505706156[/C][/ROW]
[ROW][C]113[/C][C]2853[/C][C]2798.64478209147[/C][C]54.3552179085254[/C][/ROW]
[ROW][C]114[/C][C]2794[/C][C]2928.06264305049[/C][C]-134.062643050494[/C][/ROW]
[ROW][C]115[/C][C]2750[/C][C]2847.65519530232[/C][C]-97.6551953023231[/C][/ROW]
[ROW][C]116[/C][C]2713[/C][C]2761.26021615419[/C][C]-48.2602161541927[/C][/ROW]
[ROW][C]117[/C][C]2762[/C][C]2698.46251814192[/C][C]63.5374818580763[/C][/ROW]
[ROW][C]118[/C][C]2769[/C][C]2754.13594426552[/C][C]14.8640557344775[/C][/ROW]
[ROW][C]119[/C][C]2660[/C][C]2774.24559014396[/C][C]-114.245590143959[/C][/ROW]
[ROW][C]120[/C][C]2691[/C][C]2642.14777593259[/C][C]48.8522240674051[/C][/ROW]
[ROW][C]121[/C][C]2705[/C][C]2666.37350160686[/C][C]38.6264983931405[/C][/ROW]
[ROW][C]122[/C][C]2591[/C][C]2696.49807110228[/C][C]-105.498071102278[/C][/ROW]
[ROW][C]123[/C][C]2608[/C][C]2565.01181046326[/C][C]42.9881895367448[/C][/ROW]
[ROW][C]124[/C][C]2610[/C][C]2575.28425705081[/C][C]34.7157429491949[/C][/ROW]
[ROW][C]125[/C][C]2527[/C][C]2591.63461356315[/C][C]-64.6346135631507[/C][/ROW]
[ROW][C]126[/C][C]2616[/C][C]2499.62696637917[/C][C]116.373033620833[/C][/ROW]
[ROW][C]127[/C][C]2618[/C][C]2604.51631713349[/C][C]13.4836828665075[/C][/ROW]
[ROW][C]128[/C][C]2555[/C][C]2627.47350147119[/C][C]-72.4735014711919[/C][/ROW]
[ROW][C]129[/C][C]2505[/C][C]2550.44677477905[/C][C]-45.4467747790518[/C][/ROW]
[ROW][C]130[/C][C]2492[/C][C]2479.16078092749[/C][C]12.8392190725126[/C][/ROW]
[ROW][C]131[/C][C]2428[/C][C]2462.00038914339[/C][C]-34.0003891433871[/C][/ROW]
[ROW][C]132[/C][C]2439[/C][C]2392.42510637314[/C][C]46.5748936268574[/C][/ROW]
[ROW][C]133[/C][C]2477[/C][C]2408.52926350305[/C][C]68.4707364969454[/C][/ROW]
[ROW][C]134[/C][C]2650[/C][C]2468.93544460159[/C][C]181.064555398414[/C][/ROW]
[ROW][C]135[/C][C]2560[/C][C]2692.74563429593[/C][C]-132.745634295928[/C][/ROW]
[ROW][C]136[/C][C]2803[/C][C]2601.18649188481[/C][C]201.813508115189[/C][/ROW]
[ROW][C]137[/C][C]2641[/C][C]2868.55369634454[/C][C]-227.553696344538[/C][/ROW]
[ROW][C]138[/C][C]2483[/C][C]2687.12510165737[/C][C]-204.125101657367[/C][/ROW]
[ROW][C]139[/C][C]2520[/C][C]2448.63760094037[/C][C]71.3623990596252[/C][/ROW]
[ROW][C]140[/C][C]2406[/C][C]2469.99487615885[/C][C]-63.9948761588471[/C][/ROW]
[ROW][C]141[/C][C]2454[/C][C]2352.78524929983[/C][C]101.214750700171[/C][/ROW]
[ROW][C]142[/C][C]2629[/C][C]2413.40430359858[/C][C]215.595696401422[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260969&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260969&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
327735449-2676
427854697.24108628785-1912.24108628785
527893871.23423495663-1082.23423495663
628153339.57612625842-524.576126258421
730343081.95975514424-47.9597551442366
830893209.34031236881-120.34031236881
930353230.19203923491-195.192039234906
1030613114.23666928625-53.2366692862488
1129513098.27964501467-147.279645014671
1228912947.32951624473-56.3295162447266
1328172852.07960974582-35.0796097458192
1427932761.5893576710931.4106423289077
1528052739.1565977286265.8434022713786
1627572770.63847276629-13.6384727662885
1727862729.7691233947556.2308766052515
1827732769.161928594843.83807140515955
1926092765.6933161605-156.693316160498
2026532567.4595236001585.5404763998522
2125372606.28832074218-69.2883207421828
2227272488.09035340636238.90964659364
2325582720.49606024505-162.496060245051
2425852552.2521656217832.7478343782209
2525582561.45188247852-3.45188247852138
2625742538.7387911431835.2612088568153
2725612562.04308714364-1.04308714363788
2826392554.2532664765884.7467335234242
2924502650.92781123657-200.927811236566
3024222430.34958419941-8.34958419940995
3125592369.48378896781189.516211032188
3223722547.31640866646-175.316408666457
3323592350.600006657588.39999334242066
3425482312.4096339197235.590366080302
3525342555.06757659557-21.0675765955684
3623702572.74483052733-202.744830527333
3725402360.43198596688179.56801403312
3824742539.05170658245-65.051706582452
3923902486.30702516505-96.3070251650502
4026402370.86243738794269.137562612056
4125232665.81658926964-142.81658926964
4226812558.61179173721122.388208262789
4326662721.77189827222-55.7718982722204
4425222713.26491359313-191.264913593125
4526462518.14749175565127.852508244352
4626912641.0448394536449.9551605463557
4727292716.8797300283712.1202699716332
4827272765.28333369964-38.2833336996373
4927312756.64517935627-25.6451793562669
5027722749.0369367477622.9630632522403
5129112791.18270160021119.817298399786
5228602960.35688553366-100.356885533658
5330032905.5438095134897.4561904865168
543973054.71559498198-2657.71559498198
552550-126.9386586675412676.93865866754
5630382210.85231930531827.147680694695
5730113295.83476458487-284.83476458487
5830823333.1855532827-251.185553282702
5931923304.39812111171-112.398121111709
6031433350.65035080331-207.650350803305
6130333238.15178988836-205.151789888364
6232113050.50786886444160.492131135563
6331703232.5163705259-62.5163705258997
6432933202.3911223253290.6088776746801
6530393335.88113441299-296.881134412985
6630383029.881368623888.11863137611863
6730672984.866859806182.1331401938955
6829743033.37448296374-59.374482963744
6930592939.85406374135119.145936258646
7028593042.17152901166-183.171529011659
7127272819.84872992316-92.8487299231579
7225602638.94283650508-78.9428365050785
7326522440.06752298195211.932477018046
7425712566.987350784624.01264921537677
7524992519.58763008916-20.5876300891578
7626012443.63118071497157.36881928503
7725772577.43007768951-0.430077689512473
7824982577.62188968005-79.6218896800547
7925392480.8590159726158.1409840273891
8024932522.49285377868-29.4928537786818
8125332478.9110151057554.0889848942543
8224612526.3808964375-65.3808964374962
8324882448.1973377700939.8026622299126
8427242473.95323389231250.046766107692
8524862771.67071578647-285.670715786468
8623892508.76926846559-119.769268465587
8724422341.06096941699100.93903058301
8824022398.010843735543.98915626445569
8924362374.4758106021961.5241893978064
9024772422.7656370158454.2343629841648
9123112485.31487723982-174.314877239819
9224982288.94244893124209.057551068762
9323692495.50413224988-126.504132249883
9425762370.65248360939205.347516390612
9526042603.768422640090.231577359906169
9625432663.51204841447-120.512048414475
9726792575.76317924066103.236820759342
9824692716.10911641704-247.109116417042
9925032467.120439012335.8795609876984
10025712470.95751000342100.042489996584
10125652566.73006846013-1.73006846012731
10227432575.78553242169167.214467578313
10325982790.68305838156-192.683058381557
10425902628.66487923484-38.6648792348351
10527872582.33375454207204.666245457934
10627532818.8548823058-65.8548823058004
1077722801.80520658018-2029.80520658018
1081992359.5037472085571632.49625279144
10928161629.068491361411186.93150863859
11027392968.82205926416-229.822059264156
11127083023.92675937934-315.926759379344
11227082887.24050570616-179.240505706156
11328532798.6447820914754.3552179085254
11427942928.06264305049-134.062643050494
11527502847.65519530232-97.6551953023231
11627132761.26021615419-48.2602161541927
11727622698.4625181419263.5374818580763
11827692754.1359442655214.8640557344775
11926602774.24559014396-114.245590143959
12026912642.1477759325948.8522240674051
12127052666.3735016068638.6264983931405
12225912696.49807110228-105.498071102278
12326082565.0118104632642.9881895367448
12426102575.2842570508134.7157429491949
12525272591.63461356315-64.6346135631507
12626162499.62696637917116.373033620833
12726182604.5163171334913.4836828665075
12825552627.47350147119-72.4735014711919
12925052550.44677477905-45.4467747790518
13024922479.1607809274912.8392190725126
13124282462.00038914339-34.0003891433871
13224392392.4251063731446.5748936268574
13324772408.5292635030568.4707364969454
13426502468.93544460159181.064555398414
13525602692.74563429593-132.745634295928
13628032601.18649188481201.813508115189
13726412868.55369634454-227.553696344538
13824832687.12510165737-204.125101657367
13925202448.6376009403771.3623990596252
14024062469.99487615885-63.9948761588471
14124542352.78524929983101.214750700171
14226292413.40430359858215.595696401422







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1432651.942793608911636.277827010753667.60776020707
1442708.159388610671104.208800593034312.10997662831
1452764.37598361244481.9019496119045046.85001761297
1462820.5925786142-218.3650658931915859.55022312159
1472876.80917361596-988.676901375566742.29524860748
1482933.02576861772-1823.279769076277689.33130631171
1492989.24236361949-2717.704319189718696.18904642868
1503045.45895862125-3668.33090799069759.2488252331
1513101.67555362301-4672.1421523152510875.4932595613
1523157.89214862478-5726.5684459372912042.3527431868
1533214.10874362654-6829.3850173115513257.6025045646
1543270.3253386283-7978.6399423950614519.2906196517

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
143 & 2651.94279360891 & 1636.27782701075 & 3667.60776020707 \tabularnewline
144 & 2708.15938861067 & 1104.20880059303 & 4312.10997662831 \tabularnewline
145 & 2764.37598361244 & 481.901949611904 & 5046.85001761297 \tabularnewline
146 & 2820.5925786142 & -218.365065893191 & 5859.55022312159 \tabularnewline
147 & 2876.80917361596 & -988.67690137556 & 6742.29524860748 \tabularnewline
148 & 2933.02576861772 & -1823.27976907627 & 7689.33130631171 \tabularnewline
149 & 2989.24236361949 & -2717.70431918971 & 8696.18904642868 \tabularnewline
150 & 3045.45895862125 & -3668.3309079906 & 9759.2488252331 \tabularnewline
151 & 3101.67555362301 & -4672.14215231525 & 10875.4932595613 \tabularnewline
152 & 3157.89214862478 & -5726.56844593729 & 12042.3527431868 \tabularnewline
153 & 3214.10874362654 & -6829.38501731155 & 13257.6025045646 \tabularnewline
154 & 3270.3253386283 & -7978.63994239506 & 14519.2906196517 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260969&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]143[/C][C]2651.94279360891[/C][C]1636.27782701075[/C][C]3667.60776020707[/C][/ROW]
[ROW][C]144[/C][C]2708.15938861067[/C][C]1104.20880059303[/C][C]4312.10997662831[/C][/ROW]
[ROW][C]145[/C][C]2764.37598361244[/C][C]481.901949611904[/C][C]5046.85001761297[/C][/ROW]
[ROW][C]146[/C][C]2820.5925786142[/C][C]-218.365065893191[/C][C]5859.55022312159[/C][/ROW]
[ROW][C]147[/C][C]2876.80917361596[/C][C]-988.67690137556[/C][C]6742.29524860748[/C][/ROW]
[ROW][C]148[/C][C]2933.02576861772[/C][C]-1823.27976907627[/C][C]7689.33130631171[/C][/ROW]
[ROW][C]149[/C][C]2989.24236361949[/C][C]-2717.70431918971[/C][C]8696.18904642868[/C][/ROW]
[ROW][C]150[/C][C]3045.45895862125[/C][C]-3668.3309079906[/C][C]9759.2488252331[/C][/ROW]
[ROW][C]151[/C][C]3101.67555362301[/C][C]-4672.14215231525[/C][C]10875.4932595613[/C][/ROW]
[ROW][C]152[/C][C]3157.89214862478[/C][C]-5726.56844593729[/C][C]12042.3527431868[/C][/ROW]
[ROW][C]153[/C][C]3214.10874362654[/C][C]-6829.38501731155[/C][C]13257.6025045646[/C][/ROW]
[ROW][C]154[/C][C]3270.3253386283[/C][C]-7978.63994239506[/C][C]14519.2906196517[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260969&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260969&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
1432651.942793608911636.277827010753667.60776020707
1442708.159388610671104.208800593034312.10997662831
1452764.37598361244481.9019496119045046.85001761297
1462820.5925786142-218.3650658931915859.55022312159
1472876.80917361596-988.676901375566742.29524860748
1482933.02576861772-1823.279769076277689.33130631171
1492989.24236361949-2717.704319189718696.18904642868
1503045.45895862125-3668.33090799069759.2488252331
1513101.67555362301-4672.1421523152510875.4932595613
1523157.89214862478-5726.5684459372912042.3527431868
1533214.10874362654-6829.3850173115513257.6025045646
1543270.3253386283-7978.6399423950614519.2906196517



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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')