Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 26 Nov 2016 21:17:57 +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/2016/Nov/26/t14801951022dqyfnb7fpj6wu3.htm/, Retrieved Sat, 04 May 2024 02:01:14 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 04 May 2024 02:01:14 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
829
721
19
311
264
120
135
435
1456
127
313
1104
585
295
4073
408
224
312
571
1336
586
2279
239
198
320
112
89
407
434
268
354
150
273
728
226
310
554
5725
303
360
129
2466
1042
456
335
866
1417
994
201
224
640
1043
293
2659
436
485
610
31127
2613
432
532




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha5.86346627853031e-05
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 5.86346627853031e-05 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]5.86346627853031e-05[/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=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha5.86346627853031e-05
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2721829-108
319828.993667456419-809.993667456419
4311828.94617375087-517.94617375087
5264828.915804151631-564.915804151631
6120828.882680503952-708.882680503952
7135828.841115407027-693.841115407027
8435828.800432267198-393.800432267198
91456828.777341911647627.222658088353
10127828.814118900696-701.814118900696
11313828.772968266496-515.772968266496
121104828.742726092428275.257273907572
13585828.758865709863-243.758865709863
14295828.744572990971-533.744572990971
154073828.713277057923244.28672294208
16408828.903504715899-420.903504715899
17224828.878825180834-604.878825180834
18312828.843358314894-516.843358314894
19571828.813053378866-257.813053378866
201336828.79793659742507.20206340258
21586828.827676219371-242.827676219371
222279828.8134381004611450.18656189954
23239828.898469300494-589.898469300494
24198828.863880802669-630.863880802669
25320828.826890311755-508.826890311755
26112828.797055418625-716.797055418625
2789828.755026264995-739.755026264995
28407828.711650978486-421.711650978486
29434828.686924058039-394.686924058039
30268828.663781723341-560.663781723341
31354828.630907391563-474.630907391563
32150828.603077568361-678.603077568361
33273828.563287905743-555.563287905743
34728828.5307126397-100.5307126397
35226828.524818055265-602.524818055265
36310828.489489215739-518.489489215739
37554828.459087759381-274.459087759381
385725828.4429949433224896.55700505668
39303828.730102912122-525.730102912122
40360828.699276904822-468.699276904822
41129828.671794880773-699.671794880773
422466828.630769861021637.36923013898
431042828.726776453684213.273223546316
44456828.739281657227-372.739281657227
45335828.717426215141-493.717426215141
46866828.68847726034337.3115227396567
471417828.690665008897588.309334991103
48994828.725160328368165.274839671632
49201828.734851162859-627.734851162859
50224828.698044141542-604.698044141542
51640828.662587875637-188.662587875637
521043828.651525708417214.348474291583
53293828.664093958925-535.664093958925
542659828.632685475411830.36731452459
55436828.74000844567-392.74000844567
56485828.716980267713-343.716980267713
57610828.696826538481-218.696826538481
5831127828.68400332380530298.3159966762
592613830.4605348652331782.53946513477
60432830.565053465672-398.565053465672
61532830.541683738164-298.541683738164

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 721 & 829 & -108 \tabularnewline
3 & 19 & 828.993667456419 & -809.993667456419 \tabularnewline
4 & 311 & 828.94617375087 & -517.94617375087 \tabularnewline
5 & 264 & 828.915804151631 & -564.915804151631 \tabularnewline
6 & 120 & 828.882680503952 & -708.882680503952 \tabularnewline
7 & 135 & 828.841115407027 & -693.841115407027 \tabularnewline
8 & 435 & 828.800432267198 & -393.800432267198 \tabularnewline
9 & 1456 & 828.777341911647 & 627.222658088353 \tabularnewline
10 & 127 & 828.814118900696 & -701.814118900696 \tabularnewline
11 & 313 & 828.772968266496 & -515.772968266496 \tabularnewline
12 & 1104 & 828.742726092428 & 275.257273907572 \tabularnewline
13 & 585 & 828.758865709863 & -243.758865709863 \tabularnewline
14 & 295 & 828.744572990971 & -533.744572990971 \tabularnewline
15 & 4073 & 828.71327705792 & 3244.28672294208 \tabularnewline
16 & 408 & 828.903504715899 & -420.903504715899 \tabularnewline
17 & 224 & 828.878825180834 & -604.878825180834 \tabularnewline
18 & 312 & 828.843358314894 & -516.843358314894 \tabularnewline
19 & 571 & 828.813053378866 & -257.813053378866 \tabularnewline
20 & 1336 & 828.79793659742 & 507.20206340258 \tabularnewline
21 & 586 & 828.827676219371 & -242.827676219371 \tabularnewline
22 & 2279 & 828.813438100461 & 1450.18656189954 \tabularnewline
23 & 239 & 828.898469300494 & -589.898469300494 \tabularnewline
24 & 198 & 828.863880802669 & -630.863880802669 \tabularnewline
25 & 320 & 828.826890311755 & -508.826890311755 \tabularnewline
26 & 112 & 828.797055418625 & -716.797055418625 \tabularnewline
27 & 89 & 828.755026264995 & -739.755026264995 \tabularnewline
28 & 407 & 828.711650978486 & -421.711650978486 \tabularnewline
29 & 434 & 828.686924058039 & -394.686924058039 \tabularnewline
30 & 268 & 828.663781723341 & -560.663781723341 \tabularnewline
31 & 354 & 828.630907391563 & -474.630907391563 \tabularnewline
32 & 150 & 828.603077568361 & -678.603077568361 \tabularnewline
33 & 273 & 828.563287905743 & -555.563287905743 \tabularnewline
34 & 728 & 828.5307126397 & -100.5307126397 \tabularnewline
35 & 226 & 828.524818055265 & -602.524818055265 \tabularnewline
36 & 310 & 828.489489215739 & -518.489489215739 \tabularnewline
37 & 554 & 828.459087759381 & -274.459087759381 \tabularnewline
38 & 5725 & 828.442994943322 & 4896.55700505668 \tabularnewline
39 & 303 & 828.730102912122 & -525.730102912122 \tabularnewline
40 & 360 & 828.699276904822 & -468.699276904822 \tabularnewline
41 & 129 & 828.671794880773 & -699.671794880773 \tabularnewline
42 & 2466 & 828.63076986102 & 1637.36923013898 \tabularnewline
43 & 1042 & 828.726776453684 & 213.273223546316 \tabularnewline
44 & 456 & 828.739281657227 & -372.739281657227 \tabularnewline
45 & 335 & 828.717426215141 & -493.717426215141 \tabularnewline
46 & 866 & 828.688477260343 & 37.3115227396567 \tabularnewline
47 & 1417 & 828.690665008897 & 588.309334991103 \tabularnewline
48 & 994 & 828.725160328368 & 165.274839671632 \tabularnewline
49 & 201 & 828.734851162859 & -627.734851162859 \tabularnewline
50 & 224 & 828.698044141542 & -604.698044141542 \tabularnewline
51 & 640 & 828.662587875637 & -188.662587875637 \tabularnewline
52 & 1043 & 828.651525708417 & 214.348474291583 \tabularnewline
53 & 293 & 828.664093958925 & -535.664093958925 \tabularnewline
54 & 2659 & 828.63268547541 & 1830.36731452459 \tabularnewline
55 & 436 & 828.74000844567 & -392.74000844567 \tabularnewline
56 & 485 & 828.716980267713 & -343.716980267713 \tabularnewline
57 & 610 & 828.696826538481 & -218.696826538481 \tabularnewline
58 & 31127 & 828.684003323805 & 30298.3159966762 \tabularnewline
59 & 2613 & 830.460534865233 & 1782.53946513477 \tabularnewline
60 & 432 & 830.565053465672 & -398.565053465672 \tabularnewline
61 & 532 & 830.541683738164 & -298.541683738164 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]721[/C][C]829[/C][C]-108[/C][/ROW]
[ROW][C]3[/C][C]19[/C][C]828.993667456419[/C][C]-809.993667456419[/C][/ROW]
[ROW][C]4[/C][C]311[/C][C]828.94617375087[/C][C]-517.94617375087[/C][/ROW]
[ROW][C]5[/C][C]264[/C][C]828.915804151631[/C][C]-564.915804151631[/C][/ROW]
[ROW][C]6[/C][C]120[/C][C]828.882680503952[/C][C]-708.882680503952[/C][/ROW]
[ROW][C]7[/C][C]135[/C][C]828.841115407027[/C][C]-693.841115407027[/C][/ROW]
[ROW][C]8[/C][C]435[/C][C]828.800432267198[/C][C]-393.800432267198[/C][/ROW]
[ROW][C]9[/C][C]1456[/C][C]828.777341911647[/C][C]627.222658088353[/C][/ROW]
[ROW][C]10[/C][C]127[/C][C]828.814118900696[/C][C]-701.814118900696[/C][/ROW]
[ROW][C]11[/C][C]313[/C][C]828.772968266496[/C][C]-515.772968266496[/C][/ROW]
[ROW][C]12[/C][C]1104[/C][C]828.742726092428[/C][C]275.257273907572[/C][/ROW]
[ROW][C]13[/C][C]585[/C][C]828.758865709863[/C][C]-243.758865709863[/C][/ROW]
[ROW][C]14[/C][C]295[/C][C]828.744572990971[/C][C]-533.744572990971[/C][/ROW]
[ROW][C]15[/C][C]4073[/C][C]828.71327705792[/C][C]3244.28672294208[/C][/ROW]
[ROW][C]16[/C][C]408[/C][C]828.903504715899[/C][C]-420.903504715899[/C][/ROW]
[ROW][C]17[/C][C]224[/C][C]828.878825180834[/C][C]-604.878825180834[/C][/ROW]
[ROW][C]18[/C][C]312[/C][C]828.843358314894[/C][C]-516.843358314894[/C][/ROW]
[ROW][C]19[/C][C]571[/C][C]828.813053378866[/C][C]-257.813053378866[/C][/ROW]
[ROW][C]20[/C][C]1336[/C][C]828.79793659742[/C][C]507.20206340258[/C][/ROW]
[ROW][C]21[/C][C]586[/C][C]828.827676219371[/C][C]-242.827676219371[/C][/ROW]
[ROW][C]22[/C][C]2279[/C][C]828.813438100461[/C][C]1450.18656189954[/C][/ROW]
[ROW][C]23[/C][C]239[/C][C]828.898469300494[/C][C]-589.898469300494[/C][/ROW]
[ROW][C]24[/C][C]198[/C][C]828.863880802669[/C][C]-630.863880802669[/C][/ROW]
[ROW][C]25[/C][C]320[/C][C]828.826890311755[/C][C]-508.826890311755[/C][/ROW]
[ROW][C]26[/C][C]112[/C][C]828.797055418625[/C][C]-716.797055418625[/C][/ROW]
[ROW][C]27[/C][C]89[/C][C]828.755026264995[/C][C]-739.755026264995[/C][/ROW]
[ROW][C]28[/C][C]407[/C][C]828.711650978486[/C][C]-421.711650978486[/C][/ROW]
[ROW][C]29[/C][C]434[/C][C]828.686924058039[/C][C]-394.686924058039[/C][/ROW]
[ROW][C]30[/C][C]268[/C][C]828.663781723341[/C][C]-560.663781723341[/C][/ROW]
[ROW][C]31[/C][C]354[/C][C]828.630907391563[/C][C]-474.630907391563[/C][/ROW]
[ROW][C]32[/C][C]150[/C][C]828.603077568361[/C][C]-678.603077568361[/C][/ROW]
[ROW][C]33[/C][C]273[/C][C]828.563287905743[/C][C]-555.563287905743[/C][/ROW]
[ROW][C]34[/C][C]728[/C][C]828.5307126397[/C][C]-100.5307126397[/C][/ROW]
[ROW][C]35[/C][C]226[/C][C]828.524818055265[/C][C]-602.524818055265[/C][/ROW]
[ROW][C]36[/C][C]310[/C][C]828.489489215739[/C][C]-518.489489215739[/C][/ROW]
[ROW][C]37[/C][C]554[/C][C]828.459087759381[/C][C]-274.459087759381[/C][/ROW]
[ROW][C]38[/C][C]5725[/C][C]828.442994943322[/C][C]4896.55700505668[/C][/ROW]
[ROW][C]39[/C][C]303[/C][C]828.730102912122[/C][C]-525.730102912122[/C][/ROW]
[ROW][C]40[/C][C]360[/C][C]828.699276904822[/C][C]-468.699276904822[/C][/ROW]
[ROW][C]41[/C][C]129[/C][C]828.671794880773[/C][C]-699.671794880773[/C][/ROW]
[ROW][C]42[/C][C]2466[/C][C]828.63076986102[/C][C]1637.36923013898[/C][/ROW]
[ROW][C]43[/C][C]1042[/C][C]828.726776453684[/C][C]213.273223546316[/C][/ROW]
[ROW][C]44[/C][C]456[/C][C]828.739281657227[/C][C]-372.739281657227[/C][/ROW]
[ROW][C]45[/C][C]335[/C][C]828.717426215141[/C][C]-493.717426215141[/C][/ROW]
[ROW][C]46[/C][C]866[/C][C]828.688477260343[/C][C]37.3115227396567[/C][/ROW]
[ROW][C]47[/C][C]1417[/C][C]828.690665008897[/C][C]588.309334991103[/C][/ROW]
[ROW][C]48[/C][C]994[/C][C]828.725160328368[/C][C]165.274839671632[/C][/ROW]
[ROW][C]49[/C][C]201[/C][C]828.734851162859[/C][C]-627.734851162859[/C][/ROW]
[ROW][C]50[/C][C]224[/C][C]828.698044141542[/C][C]-604.698044141542[/C][/ROW]
[ROW][C]51[/C][C]640[/C][C]828.662587875637[/C][C]-188.662587875637[/C][/ROW]
[ROW][C]52[/C][C]1043[/C][C]828.651525708417[/C][C]214.348474291583[/C][/ROW]
[ROW][C]53[/C][C]293[/C][C]828.664093958925[/C][C]-535.664093958925[/C][/ROW]
[ROW][C]54[/C][C]2659[/C][C]828.63268547541[/C][C]1830.36731452459[/C][/ROW]
[ROW][C]55[/C][C]436[/C][C]828.74000844567[/C][C]-392.74000844567[/C][/ROW]
[ROW][C]56[/C][C]485[/C][C]828.716980267713[/C][C]-343.716980267713[/C][/ROW]
[ROW][C]57[/C][C]610[/C][C]828.696826538481[/C][C]-218.696826538481[/C][/ROW]
[ROW][C]58[/C][C]31127[/C][C]828.684003323805[/C][C]30298.3159966762[/C][/ROW]
[ROW][C]59[/C][C]2613[/C][C]830.460534865233[/C][C]1782.53946513477[/C][/ROW]
[ROW][C]60[/C][C]432[/C][C]830.565053465672[/C][C]-398.565053465672[/C][/ROW]
[ROW][C]61[/C][C]532[/C][C]830.541683738164[/C][C]-298.541683738164[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
2721829-108
319828.993667456419-809.993667456419
4311828.94617375087-517.94617375087
5264828.915804151631-564.915804151631
6120828.882680503952-708.882680503952
7135828.841115407027-693.841115407027
8435828.800432267198-393.800432267198
91456828.777341911647627.222658088353
10127828.814118900696-701.814118900696
11313828.772968266496-515.772968266496
121104828.742726092428275.257273907572
13585828.758865709863-243.758865709863
14295828.744572990971-533.744572990971
154073828.713277057923244.28672294208
16408828.903504715899-420.903504715899
17224828.878825180834-604.878825180834
18312828.843358314894-516.843358314894
19571828.813053378866-257.813053378866
201336828.79793659742507.20206340258
21586828.827676219371-242.827676219371
222279828.8134381004611450.18656189954
23239828.898469300494-589.898469300494
24198828.863880802669-630.863880802669
25320828.826890311755-508.826890311755
26112828.797055418625-716.797055418625
2789828.755026264995-739.755026264995
28407828.711650978486-421.711650978486
29434828.686924058039-394.686924058039
30268828.663781723341-560.663781723341
31354828.630907391563-474.630907391563
32150828.603077568361-678.603077568361
33273828.563287905743-555.563287905743
34728828.5307126397-100.5307126397
35226828.524818055265-602.524818055265
36310828.489489215739-518.489489215739
37554828.459087759381-274.459087759381
385725828.4429949433224896.55700505668
39303828.730102912122-525.730102912122
40360828.699276904822-468.699276904822
41129828.671794880773-699.671794880773
422466828.630769861021637.36923013898
431042828.726776453684213.273223546316
44456828.739281657227-372.739281657227
45335828.717426215141-493.717426215141
46866828.68847726034337.3115227396567
471417828.690665008897588.309334991103
48994828.725160328368165.274839671632
49201828.734851162859-627.734851162859
50224828.698044141542-604.698044141542
51640828.662587875637-188.662587875637
521043828.651525708417214.348474291583
53293828.664093958925-535.664093958925
542659828.632685475411830.36731452459
55436828.74000844567-392.74000844567
56485828.716980267713-343.716980267713
57610828.696826538481-218.696826538481
5831127828.68400332380530298.3159966762
592613830.4605348652331782.53946513477
60432830.565053465672-398.565053465672
61532830.541683738164-298.541683738164







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
62830.524178847211-7098.554970372658759.60332806707
63830.524178847211-7098.554984002838759.60334169726
64830.524178847211-7098.554997633018759.60335532744
65830.524178847211-7098.555011263198759.60336895762
66830.524178847211-7098.555024893388759.6033825878
67830.524178847211-7098.555038523568759.60339621798
68830.524178847211-7098.555052153748759.60340984816
69830.524178847211-7098.555065783928759.60342347834
70830.524178847211-7098.55507941418759.60343710852
71830.524178847211-7098.555093044288759.6034507387
72830.524178847211-7098.555106674468759.60346436888
73830.524178847211-7098.555120304648759.60347799906

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
62 & 830.524178847211 & -7098.55497037265 & 8759.60332806707 \tabularnewline
63 & 830.524178847211 & -7098.55498400283 & 8759.60334169726 \tabularnewline
64 & 830.524178847211 & -7098.55499763301 & 8759.60335532744 \tabularnewline
65 & 830.524178847211 & -7098.55501126319 & 8759.60336895762 \tabularnewline
66 & 830.524178847211 & -7098.55502489338 & 8759.6033825878 \tabularnewline
67 & 830.524178847211 & -7098.55503852356 & 8759.60339621798 \tabularnewline
68 & 830.524178847211 & -7098.55505215374 & 8759.60340984816 \tabularnewline
69 & 830.524178847211 & -7098.55506578392 & 8759.60342347834 \tabularnewline
70 & 830.524178847211 & -7098.5550794141 & 8759.60343710852 \tabularnewline
71 & 830.524178847211 & -7098.55509304428 & 8759.6034507387 \tabularnewline
72 & 830.524178847211 & -7098.55510667446 & 8759.60346436888 \tabularnewline
73 & 830.524178847211 & -7098.55512030464 & 8759.60347799906 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]62[/C][C]830.524178847211[/C][C]-7098.55497037265[/C][C]8759.60332806707[/C][/ROW]
[ROW][C]63[/C][C]830.524178847211[/C][C]-7098.55498400283[/C][C]8759.60334169726[/C][/ROW]
[ROW][C]64[/C][C]830.524178847211[/C][C]-7098.55499763301[/C][C]8759.60335532744[/C][/ROW]
[ROW][C]65[/C][C]830.524178847211[/C][C]-7098.55501126319[/C][C]8759.60336895762[/C][/ROW]
[ROW][C]66[/C][C]830.524178847211[/C][C]-7098.55502489338[/C][C]8759.6033825878[/C][/ROW]
[ROW][C]67[/C][C]830.524178847211[/C][C]-7098.55503852356[/C][C]8759.60339621798[/C][/ROW]
[ROW][C]68[/C][C]830.524178847211[/C][C]-7098.55505215374[/C][C]8759.60340984816[/C][/ROW]
[ROW][C]69[/C][C]830.524178847211[/C][C]-7098.55506578392[/C][C]8759.60342347834[/C][/ROW]
[ROW][C]70[/C][C]830.524178847211[/C][C]-7098.5550794141[/C][C]8759.60343710852[/C][/ROW]
[ROW][C]71[/C][C]830.524178847211[/C][C]-7098.55509304428[/C][C]8759.6034507387[/C][/ROW]
[ROW][C]72[/C][C]830.524178847211[/C][C]-7098.55510667446[/C][C]8759.60346436888[/C][/ROW]
[ROW][C]73[/C][C]830.524178847211[/C][C]-7098.55512030464[/C][C]8759.60347799906[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
62830.524178847211-7098.554970372658759.60332806707
63830.524178847211-7098.554984002838759.60334169726
64830.524178847211-7098.554997633018759.60335532744
65830.524178847211-7098.555011263198759.60336895762
66830.524178847211-7098.555024893388759.6033825878
67830.524178847211-7098.555038523568759.60339621798
68830.524178847211-7098.555052153748759.60340984816
69830.524178847211-7098.555065783928759.60342347834
70830.524178847211-7098.55507941418759.60343710852
71830.524178847211-7098.555093044288759.6034507387
72830.524178847211-7098.555106674468759.60346436888
73830.524178847211-7098.555120304648759.60347799906



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')