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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 computationMon, 29 Nov 2010 11:56:04 +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/29/t1291031679yujdnnqnjw5ftdq.htm/, Retrieved Mon, 29 Apr 2024 09:51:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102862, Retrieved Mon, 29 Apr 2024 09:51:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Workshop 8 Regres...] [2010-11-27 09:22:21] [87d60b8864dc39f7ed759c345edfb471]
- RMP   [Spectral Analysis] [Workshop 8 Regres...] [2010-11-27 12:28:23] [87d60b8864dc39f7ed759c345edfb471]
- RMP     [Exponential Smoothing] [Workshop 8 Regres...] [2010-11-27 13:02:33] [87d60b8864dc39f7ed759c345edfb471]
-   P       [Exponential Smoothing] [Workshop 8 Regres...] [2010-11-27 13:15:31] [87d60b8864dc39f7ed759c345edfb471]
- R  D        [Exponential Smoothing] [ws 8 - exponentia...] [2010-11-28 09:11:22] [033eb2749a430605d9b2be7c4aac4a0c]
- R  D            [Exponential Smoothing] [W8-exponentieel s...] [2010-11-29 11:56:04] [6f3869f9d1e39c73f93153f1f7803f84] [Current]
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Dataseries X:
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581
564
558
575
580
575
563
552
537
545
601




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=102862&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=102862&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102862&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
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102862&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]0.999933893038648[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102862&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102862&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2590593-3
3580590.000198320884-10.0001983208841
4574580.000661082724-6.00066108272392
5573574.00039668547-1.00039668547026
6573573.000066133185-6.61331851006253e-05
7620573.00000000437246.9999999956281
8626619.9968929728176.0031070271832
9620625.999603152836-5.99960315283579
10588620.000396615534-32.0003966155338
11566588.002115448982-22.0021154489824
12557566.001454492996-9.00145449299566
13561557.0005950588043.99940494119573
14549560.999735611492-11.9997356114922
15532549.000793266058-17.0007932660583
16526532.001123870783-6.00112387078343
17511526.000396716064-15.0003967160637
18499511.000991630646-12.0009916306460
19555499.0007933490955.9992066509101
20565554.9962980626110.0037019373898
21542564.999338685663-22.9993386856626
22527542.001520416394-15.0015204163936
23510527.00099170493-17.0009917049304
24514510.0011238839023.99887611609842
25517513.9997356464513.00026435354891
26508516.99980166164-8.9998016616404
27493508.000594949541-15.0005949495406
28490493.000991643751-3.00099164375058
29469490.000198386439-21.0001983864386
30478469.0013882593038.9986117406969
31528477.99940512912150.0005948708786
32534527.9966946126076.00330538739263
33518533.999603139723-15.9996031397228
34506518.001057685146-12.0010576851464
35502506.000793353457-4.00079335345657
36516502.00026448029213.9997355197085
37528515.99907452002512.0009254799750
38533527.9992066552835.00079334471684
39536532.9996694127483.00033058725239
40537535.9998016572621.00019834273814
41524536.999933879927-12.9999338799267
42536524.00085938612711.9991406138735
43587535.99920677327551.0007932267248
44597586.99662849253310.0033715074668
45581596.999338707506-15.9993387075064
46564581.001057667666-17.0010576676656
47558564.001123888262-6.00112388826221
48575558.00039671606516.999603283935
49580574.9988762078835.00112379211726
50575579.999669390903-4.99966939090268
51563575.000330512951-12.0003305129512
52552563.000793305385-11.0007933053854
53537552.000727229018-15.0007272290178
54545537.0009916524957.99900834750486
55601544.99947120986456.0005287901356

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 590 & 593 & -3 \tabularnewline
3 & 580 & 590.000198320884 & -10.0001983208841 \tabularnewline
4 & 574 & 580.000661082724 & -6.00066108272392 \tabularnewline
5 & 573 & 574.00039668547 & -1.00039668547026 \tabularnewline
6 & 573 & 573.000066133185 & -6.61331851006253e-05 \tabularnewline
7 & 620 & 573.000000004372 & 46.9999999956281 \tabularnewline
8 & 626 & 619.996892972817 & 6.0031070271832 \tabularnewline
9 & 620 & 625.999603152836 & -5.99960315283579 \tabularnewline
10 & 588 & 620.000396615534 & -32.0003966155338 \tabularnewline
11 & 566 & 588.002115448982 & -22.0021154489824 \tabularnewline
12 & 557 & 566.001454492996 & -9.00145449299566 \tabularnewline
13 & 561 & 557.000595058804 & 3.99940494119573 \tabularnewline
14 & 549 & 560.999735611492 & -11.9997356114922 \tabularnewline
15 & 532 & 549.000793266058 & -17.0007932660583 \tabularnewline
16 & 526 & 532.001123870783 & -6.00112387078343 \tabularnewline
17 & 511 & 526.000396716064 & -15.0003967160637 \tabularnewline
18 & 499 & 511.000991630646 & -12.0009916306460 \tabularnewline
19 & 555 & 499.00079334909 & 55.9992066509101 \tabularnewline
20 & 565 & 554.99629806261 & 10.0037019373898 \tabularnewline
21 & 542 & 564.999338685663 & -22.9993386856626 \tabularnewline
22 & 527 & 542.001520416394 & -15.0015204163936 \tabularnewline
23 & 510 & 527.00099170493 & -17.0009917049304 \tabularnewline
24 & 514 & 510.001123883902 & 3.99887611609842 \tabularnewline
25 & 517 & 513.999735646451 & 3.00026435354891 \tabularnewline
26 & 508 & 516.99980166164 & -8.9998016616404 \tabularnewline
27 & 493 & 508.000594949541 & -15.0005949495406 \tabularnewline
28 & 490 & 493.000991643751 & -3.00099164375058 \tabularnewline
29 & 469 & 490.000198386439 & -21.0001983864386 \tabularnewline
30 & 478 & 469.001388259303 & 8.9986117406969 \tabularnewline
31 & 528 & 477.999405129121 & 50.0005948708786 \tabularnewline
32 & 534 & 527.996694612607 & 6.00330538739263 \tabularnewline
33 & 518 & 533.999603139723 & -15.9996031397228 \tabularnewline
34 & 506 & 518.001057685146 & -12.0010576851464 \tabularnewline
35 & 502 & 506.000793353457 & -4.00079335345657 \tabularnewline
36 & 516 & 502.000264480292 & 13.9997355197085 \tabularnewline
37 & 528 & 515.999074520025 & 12.0009254799750 \tabularnewline
38 & 533 & 527.999206655283 & 5.00079334471684 \tabularnewline
39 & 536 & 532.999669412748 & 3.00033058725239 \tabularnewline
40 & 537 & 535.999801657262 & 1.00019834273814 \tabularnewline
41 & 524 & 536.999933879927 & -12.9999338799267 \tabularnewline
42 & 536 & 524.000859386127 & 11.9991406138735 \tabularnewline
43 & 587 & 535.999206773275 & 51.0007932267248 \tabularnewline
44 & 597 & 586.996628492533 & 10.0033715074668 \tabularnewline
45 & 581 & 596.999338707506 & -15.9993387075064 \tabularnewline
46 & 564 & 581.001057667666 & -17.0010576676656 \tabularnewline
47 & 558 & 564.001123888262 & -6.00112388826221 \tabularnewline
48 & 575 & 558.000396716065 & 16.999603283935 \tabularnewline
49 & 580 & 574.998876207883 & 5.00112379211726 \tabularnewline
50 & 575 & 579.999669390903 & -4.99966939090268 \tabularnewline
51 & 563 & 575.000330512951 & -12.0003305129512 \tabularnewline
52 & 552 & 563.000793305385 & -11.0007933053854 \tabularnewline
53 & 537 & 552.000727229018 & -15.0007272290178 \tabularnewline
54 & 545 & 537.000991652495 & 7.99900834750486 \tabularnewline
55 & 601 & 544.999471209864 & 56.0005287901356 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102862&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]2[/C][C]590[/C][C]593[/C][C]-3[/C][/ROW]
[ROW][C]3[/C][C]580[/C][C]590.000198320884[/C][C]-10.0001983208841[/C][/ROW]
[ROW][C]4[/C][C]574[/C][C]580.000661082724[/C][C]-6.00066108272392[/C][/ROW]
[ROW][C]5[/C][C]573[/C][C]574.00039668547[/C][C]-1.00039668547026[/C][/ROW]
[ROW][C]6[/C][C]573[/C][C]573.000066133185[/C][C]-6.61331851006253e-05[/C][/ROW]
[ROW][C]7[/C][C]620[/C][C]573.000000004372[/C][C]46.9999999956281[/C][/ROW]
[ROW][C]8[/C][C]626[/C][C]619.996892972817[/C][C]6.0031070271832[/C][/ROW]
[ROW][C]9[/C][C]620[/C][C]625.999603152836[/C][C]-5.99960315283579[/C][/ROW]
[ROW][C]10[/C][C]588[/C][C]620.000396615534[/C][C]-32.0003966155338[/C][/ROW]
[ROW][C]11[/C][C]566[/C][C]588.002115448982[/C][C]-22.0021154489824[/C][/ROW]
[ROW][C]12[/C][C]557[/C][C]566.001454492996[/C][C]-9.00145449299566[/C][/ROW]
[ROW][C]13[/C][C]561[/C][C]557.000595058804[/C][C]3.99940494119573[/C][/ROW]
[ROW][C]14[/C][C]549[/C][C]560.999735611492[/C][C]-11.9997356114922[/C][/ROW]
[ROW][C]15[/C][C]532[/C][C]549.000793266058[/C][C]-17.0007932660583[/C][/ROW]
[ROW][C]16[/C][C]526[/C][C]532.001123870783[/C][C]-6.00112387078343[/C][/ROW]
[ROW][C]17[/C][C]511[/C][C]526.000396716064[/C][C]-15.0003967160637[/C][/ROW]
[ROW][C]18[/C][C]499[/C][C]511.000991630646[/C][C]-12.0009916306460[/C][/ROW]
[ROW][C]19[/C][C]555[/C][C]499.00079334909[/C][C]55.9992066509101[/C][/ROW]
[ROW][C]20[/C][C]565[/C][C]554.99629806261[/C][C]10.0037019373898[/C][/ROW]
[ROW][C]21[/C][C]542[/C][C]564.999338685663[/C][C]-22.9993386856626[/C][/ROW]
[ROW][C]22[/C][C]527[/C][C]542.001520416394[/C][C]-15.0015204163936[/C][/ROW]
[ROW][C]23[/C][C]510[/C][C]527.00099170493[/C][C]-17.0009917049304[/C][/ROW]
[ROW][C]24[/C][C]514[/C][C]510.001123883902[/C][C]3.99887611609842[/C][/ROW]
[ROW][C]25[/C][C]517[/C][C]513.999735646451[/C][C]3.00026435354891[/C][/ROW]
[ROW][C]26[/C][C]508[/C][C]516.99980166164[/C][C]-8.9998016616404[/C][/ROW]
[ROW][C]27[/C][C]493[/C][C]508.000594949541[/C][C]-15.0005949495406[/C][/ROW]
[ROW][C]28[/C][C]490[/C][C]493.000991643751[/C][C]-3.00099164375058[/C][/ROW]
[ROW][C]29[/C][C]469[/C][C]490.000198386439[/C][C]-21.0001983864386[/C][/ROW]
[ROW][C]30[/C][C]478[/C][C]469.001388259303[/C][C]8.9986117406969[/C][/ROW]
[ROW][C]31[/C][C]528[/C][C]477.999405129121[/C][C]50.0005948708786[/C][/ROW]
[ROW][C]32[/C][C]534[/C][C]527.996694612607[/C][C]6.00330538739263[/C][/ROW]
[ROW][C]33[/C][C]518[/C][C]533.999603139723[/C][C]-15.9996031397228[/C][/ROW]
[ROW][C]34[/C][C]506[/C][C]518.001057685146[/C][C]-12.0010576851464[/C][/ROW]
[ROW][C]35[/C][C]502[/C][C]506.000793353457[/C][C]-4.00079335345657[/C][/ROW]
[ROW][C]36[/C][C]516[/C][C]502.000264480292[/C][C]13.9997355197085[/C][/ROW]
[ROW][C]37[/C][C]528[/C][C]515.999074520025[/C][C]12.0009254799750[/C][/ROW]
[ROW][C]38[/C][C]533[/C][C]527.999206655283[/C][C]5.00079334471684[/C][/ROW]
[ROW][C]39[/C][C]536[/C][C]532.999669412748[/C][C]3.00033058725239[/C][/ROW]
[ROW][C]40[/C][C]537[/C][C]535.999801657262[/C][C]1.00019834273814[/C][/ROW]
[ROW][C]41[/C][C]524[/C][C]536.999933879927[/C][C]-12.9999338799267[/C][/ROW]
[ROW][C]42[/C][C]536[/C][C]524.000859386127[/C][C]11.9991406138735[/C][/ROW]
[ROW][C]43[/C][C]587[/C][C]535.999206773275[/C][C]51.0007932267248[/C][/ROW]
[ROW][C]44[/C][C]597[/C][C]586.996628492533[/C][C]10.0033715074668[/C][/ROW]
[ROW][C]45[/C][C]581[/C][C]596.999338707506[/C][C]-15.9993387075064[/C][/ROW]
[ROW][C]46[/C][C]564[/C][C]581.001057667666[/C][C]-17.0010576676656[/C][/ROW]
[ROW][C]47[/C][C]558[/C][C]564.001123888262[/C][C]-6.00112388826221[/C][/ROW]
[ROW][C]48[/C][C]575[/C][C]558.000396716065[/C][C]16.999603283935[/C][/ROW]
[ROW][C]49[/C][C]580[/C][C]574.998876207883[/C][C]5.00112379211726[/C][/ROW]
[ROW][C]50[/C][C]575[/C][C]579.999669390903[/C][C]-4.99966939090268[/C][/ROW]
[ROW][C]51[/C][C]563[/C][C]575.000330512951[/C][C]-12.0003305129512[/C][/ROW]
[ROW][C]52[/C][C]552[/C][C]563.000793305385[/C][C]-11.0007933053854[/C][/ROW]
[ROW][C]53[/C][C]537[/C][C]552.000727229018[/C][C]-15.0007272290178[/C][/ROW]
[ROW][C]54[/C][C]545[/C][C]537.000991652495[/C][C]7.99900834750486[/C][/ROW]
[ROW][C]55[/C][C]601[/C][C]544.999471209864[/C][C]56.0005287901356[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102862&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102862&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
2590593-3
3580590.000198320884-10.0001983208841
4574580.000661082724-6.00066108272392
5573574.00039668547-1.00039668547026
6573573.000066133185-6.61331851006253e-05
7620573.00000000437246.9999999956281
8626619.9968929728176.0031070271832
9620625.999603152836-5.99960315283579
10588620.000396615534-32.0003966155338
11566588.002115448982-22.0021154489824
12557566.001454492996-9.00145449299566
13561557.0005950588043.99940494119573
14549560.999735611492-11.9997356114922
15532549.000793266058-17.0007932660583
16526532.001123870783-6.00112387078343
17511526.000396716064-15.0003967160637
18499511.000991630646-12.0009916306460
19555499.0007933490955.9992066509101
20565554.9962980626110.0037019373898
21542564.999338685663-22.9993386856626
22527542.001520416394-15.0015204163936
23510527.00099170493-17.0009917049304
24514510.0011238839023.99887611609842
25517513.9997356464513.00026435354891
26508516.99980166164-8.9998016616404
27493508.000594949541-15.0005949495406
28490493.000991643751-3.00099164375058
29469490.000198386439-21.0001983864386
30478469.0013882593038.9986117406969
31528477.99940512912150.0005948708786
32534527.9966946126076.00330538739263
33518533.999603139723-15.9996031397228
34506518.001057685146-12.0010576851464
35502506.000793353457-4.00079335345657
36516502.00026448029213.9997355197085
37528515.99907452002512.0009254799750
38533527.9992066552835.00079334471684
39536532.9996694127483.00033058725239
40537535.9998016572621.00019834273814
41524536.999933879927-12.9999338799267
42536524.00085938612711.9991406138735
43587535.99920677327551.0007932267248
44597586.99662849253310.0033715074668
45581596.999338707506-15.9993387075064
46564581.001057667666-17.0010576676656
47558564.001123888262-6.00112388826221
48575558.00039671606516.999603283935
49580574.9988762078835.00112379211726
50575579.999669390903-4.99966939090268
51563575.000330512951-12.0003305129512
52552563.000793305385-11.0007933053854
53537552.000727229018-15.0007272290178
54545537.0009916524957.99900834750486
55601544.99947120986456.0005287901356







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
56600.996297975208562.01815314626639.974442804155
57600.996297975208545.874698912787656.117897037628
58600.996297975208533.487146061632668.505449888783
59600.996297975208523.043873375443678.948722574972
60600.996297975208513.843125859249688.149470091166
61600.996297975208505.524991716386696.46760423403
62600.996297975208497.875663630487704.116932319929
63600.996297975208490.755832915641711.236763034774
64600.996297975208484.068734734364717.92386121605
65600.996297975208477.743914816368724.248681134047
66600.996297975208471.728185653471730.264410296944
67600.996297975208465.980225701878736.012370248537

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
56 & 600.996297975208 & 562.01815314626 & 639.974442804155 \tabularnewline
57 & 600.996297975208 & 545.874698912787 & 656.117897037628 \tabularnewline
58 & 600.996297975208 & 533.487146061632 & 668.505449888783 \tabularnewline
59 & 600.996297975208 & 523.043873375443 & 678.948722574972 \tabularnewline
60 & 600.996297975208 & 513.843125859249 & 688.149470091166 \tabularnewline
61 & 600.996297975208 & 505.524991716386 & 696.46760423403 \tabularnewline
62 & 600.996297975208 & 497.875663630487 & 704.116932319929 \tabularnewline
63 & 600.996297975208 & 490.755832915641 & 711.236763034774 \tabularnewline
64 & 600.996297975208 & 484.068734734364 & 717.92386121605 \tabularnewline
65 & 600.996297975208 & 477.743914816368 & 724.248681134047 \tabularnewline
66 & 600.996297975208 & 471.728185653471 & 730.264410296944 \tabularnewline
67 & 600.996297975208 & 465.980225701878 & 736.012370248537 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102862&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]56[/C][C]600.996297975208[/C][C]562.01815314626[/C][C]639.974442804155[/C][/ROW]
[ROW][C]57[/C][C]600.996297975208[/C][C]545.874698912787[/C][C]656.117897037628[/C][/ROW]
[ROW][C]58[/C][C]600.996297975208[/C][C]533.487146061632[/C][C]668.505449888783[/C][/ROW]
[ROW][C]59[/C][C]600.996297975208[/C][C]523.043873375443[/C][C]678.948722574972[/C][/ROW]
[ROW][C]60[/C][C]600.996297975208[/C][C]513.843125859249[/C][C]688.149470091166[/C][/ROW]
[ROW][C]61[/C][C]600.996297975208[/C][C]505.524991716386[/C][C]696.46760423403[/C][/ROW]
[ROW][C]62[/C][C]600.996297975208[/C][C]497.875663630487[/C][C]704.116932319929[/C][/ROW]
[ROW][C]63[/C][C]600.996297975208[/C][C]490.755832915641[/C][C]711.236763034774[/C][/ROW]
[ROW][C]64[/C][C]600.996297975208[/C][C]484.068734734364[/C][C]717.92386121605[/C][/ROW]
[ROW][C]65[/C][C]600.996297975208[/C][C]477.743914816368[/C][C]724.248681134047[/C][/ROW]
[ROW][C]66[/C][C]600.996297975208[/C][C]471.728185653471[/C][C]730.264410296944[/C][/ROW]
[ROW][C]67[/C][C]600.996297975208[/C][C]465.980225701878[/C][C]736.012370248537[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102862&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102862&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
56600.996297975208562.01815314626639.974442804155
57600.996297975208545.874698912787656.117897037628
58600.996297975208533.487146061632668.505449888783
59600.996297975208523.043873375443678.948722574972
60600.996297975208513.843125859249688.149470091166
61600.996297975208505.524991716386696.46760423403
62600.996297975208497.875663630487704.116932319929
63600.996297975208490.755832915641711.236763034774
64600.996297975208484.068734734364717.92386121605
65600.996297975208477.743914816368724.248681134047
66600.996297975208471.728185653471730.264410296944
67600.996297975208465.980225701878736.012370248537



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; 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=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')