Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 11 Nov 2012 12:23:55 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/11/t1352654673gtn90maz6krlq3o.htm/, Retrieved Fri, 03 May 2024 12:43:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=187551, Retrieved Fri, 03 May 2024 12:43:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:43:04] [74be16979710d4c4e7c6647856088456]
- RM D  [Exponential Smoothing] [Single smoothing] [2012-11-10 14:54:36] [86dcce9422b96d4554cb918e531c1d5d]
- R  D      [Exponential Smoothing] [Single smoothing] [2012-11-11 17:23:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
236.422
250.580
279.515
264.417
283.706
281.288
271.146
283.944
269.155
270.899
276.507
319.957
250.746
247.772
280.449
274.925
296.013
287.881
279.098
294.763
261.924
291.596
287.537
326.201
255.598
253.086
285.261
284.747
300.402
288.854
295.433
307.256
273.189
287.540
290.705
337.006
268.335
259.060
293.703
294.262
312.404
301.014
309.942
317.079
293.912
304.060
301.299
357.634
281.493
282.478
319.111
315.223
328.445
321.081
328.040
326.362
313.566
319.768
324.315
387.243
293.308
295.109
339.190
335.678
345.401
351.002
351.889
355.773
333.363
336.214
343.910
405.788
318.682
314.189
362.141
351.811
373.727
366.795
362.393
376.006
346.423
349.007
357.224
418.473
329.169
323.456
374.439
358.806
391.816
376.944
372.665
388.357
354.241
368.982
378.233
426.699
343.241
344.577
373.623
369.688
398.816
379.387
384.666
383.879
351.578
350.920
336.629
385.504
311.330
300.545
329.718
331.023
348.944
345.650
349.260
354.597
325.769
339.734
340.543
401.585
315.998
312.327
362.217
358.067
367.321
360.372
363.830
364.525
347.945
357.404
368.182
429.343




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' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187551&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187551&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187551&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' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.221379685463394
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.221379685463394 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187551&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]0.221379685463394[/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=187551&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187551&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
alpha0.221379685463394
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2250.58236.42214.158
3279.515239.55629358679139.9587064132093
4264.417248.40233944407116.0146605559289
5283.706251.94765996074631.7583400392543
6281.288258.97831128947522.3096887105247
7271.146263.9172231589987.22877684100251
8283.944265.51752750234418.4264724976563
9269.155269.596774188075-0.44177418807476
10270.899269.4989743572731.40002564272709
11276.507269.8089115937016.69808840629946
12319.957271.29173229829348.6652677017069
13250.746282.065233955089-31.3192339550889
14247.772275.131791793157-27.3597917931569
15280.449269.07488969164411.3741103083561
16274.925271.5928866541343.33211334586633
17296.013272.3305488585723.68245114143
18287.881277.57336244326210.307637556738
19279.098279.855264003443-0.757264003443254
20294.763279.68762113654815.0753788634517
21261.924283.025003767581-21.1010037675807
22291.596278.35367019055213.2423298094482
23287.537281.285252998576.25174700143003
24326.201282.66926278334343.5317372166568
25255.598292.306305076042-36.7083050760418
26253.086284.179832044413-31.0938320444134
27285.261277.296289286577.96471071343046
28284.747279.0595144391165.68748556088428
29300.402280.31860820366220.0833917963381
30288.854284.7646631625734.08933683742669
31295.433285.6699592653979.76304073460329
32307.256287.83129815238919.4247018476105
33273.189292.131532537634-18.9425325376337
34287.54287.938040642572-0.398040642572198
35290.705287.8499225303182.85507746968204
36337.006288.4819786825348.5240213174702
37268.335299.22421125921-30.8892112592104
38259.06292.385967386434-33.325967386434
39293.703285.0082752086628.69472479133805
40294.262286.9331106481597.32888935184087
41312.404288.55557786766623.8484221323343
42301.014293.835134058127.17886594187991
43309.942295.42438914231714.5176108576827
44317.079298.63829326767118.4407067323289
45293.912302.720691123797-8.80869112379679
46304.06300.7706258534663.28937414653353
47301.299301.498826467397-0.199826467397486
48357.634301.45458894689856.1794110531023
49281.493313.891569295352-32.3985692953523
50282.478306.719184215283-24.2411842152832
51319.111301.35267847844417.7583215215564
52315.223305.2840101112449.93898988875645
53328.445307.4843005666420.9606994333597
54321.081312.124573614298.95642638570979
55328.04314.10734447043513.9326555295653
56326.362317.191751369249.17024863076034
57313.566319.221858126739-5.65585812673856
58319.768317.9697660336161.79823396638437
59324.315318.3678585034835.94714149651662
60387.243319.68443481738967.5585651826115
61293.308334.640528727873-41.3325287278733
62295.109325.49034651869-30.38134651869
63339.19318.76453358242820.425466417572
64335.678323.28631691339312.3916830866068
65345.401326.02958381746819.3714161825317
66351.002330.31802183893820.6839781610623
67351.889334.89703441836516.9919655816346
68355.773338.65871041423217.1142895857676
69333.363342.447466459659-9.08446645965915
70336.214340.436350132217-4.22235013221706
71343.91339.5016075880314.40839241196949
72405.788340.47753611359265.3104638864085
73318.682354.935946066233-36.253946066233
74314.189346.910058889284-32.7210588892835
75362.141339.66628116434522.4747188356553
76351.811344.641727351067.16927264893963
77373.727346.22885867508427.498141324916
78366.795352.31638855242214.4786114475782
79362.393355.5216590006336.87134099936662
80376.006357.04283430978518.9631656902151
81346.423361.240893965675-14.8178939656749
82349.007357.960513260324-8.95351326032386
83357.224355.9783873109611.24561268903892
84418.473356.2541406562762.2188593437303
85329.169370.028132167676-40.8591321676759
86323.456360.982750340089-37.5267503400885
87374.439352.67509015333621.7639098466636
88358.806357.4931776696441.31282233035552
89391.816357.78380986420834.0321901357921
90376.944365.317845412111.6261545879
91372.665367.8916398579184.77336014208191
92388.357368.94836482477619.4086351752243
93354.241373.245042375141-19.0040423751406
94368.982369.037933451599-0.0559334515989462
95378.233369.0255509216779.2074490783229
96426.699371.06389310255655.6351068974436
97343.241383.380375568235-40.1393755682348
98344.577374.494333230242-29.9173332302419
99373.623367.8712434098275.75175659017259
100369.688369.1445654746220.543434525378188
101398.816369.2648708389229.55112916108
102379.387375.8068905176883.58010948231197
103384.666376.5994540288078.06654597119325
104383.879378.3852234386865.49377656131452
105351.578379.601433965835-28.0234339658355
106350.92373.397614968875-22.4776149688746
107336.629368.421527637098-31.7925276370979
108385.504361.38330786871124.1206921312891
109311.33366.723139105895-55.3931391058951
110300.545354.460223393802-53.915223393802
111329.718342.524488197193-12.8064881971935
112331.023339.689391868208-8.66639186820811
113348.944337.77082876232211.1731712376783
114345.65340.2443418965485.40565810345242
115349.26341.4410447872127.8189552127875
116354.597343.17200263287211.4249973671282
117325.769345.701264956427-19.9322649564267
118339.734341.2886664098-1.55466640979995
119340.543340.944494848998-0.401494848997913
120401.585340.85561204561260.7293879543884
121315.998354.299864849339-38.3018648493385
122312.327345.820610056331-33.4936100563305
123362.217338.40580519702623.8111948029735
124358.067343.67712001301614.3898799869837
125367.321346.86274711839120.4582528816093
126360.372351.3917887064528.980211293548
127363.83353.37982505801210.4501749419875
128364.525355.6932814997078.83171850029282
129347.945357.648444563403-9.70344456340325
130357.404355.5002990580461.90370094195447
131368.182355.92173977379212.2602602262082
132429.343358.63591232636970.7070876736309

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 250.58 & 236.422 & 14.158 \tabularnewline
3 & 279.515 & 239.556293586791 & 39.9587064132093 \tabularnewline
4 & 264.417 & 248.402339444071 & 16.0146605559289 \tabularnewline
5 & 283.706 & 251.947659960746 & 31.7583400392543 \tabularnewline
6 & 281.288 & 258.978311289475 & 22.3096887105247 \tabularnewline
7 & 271.146 & 263.917223158998 & 7.22877684100251 \tabularnewline
8 & 283.944 & 265.517527502344 & 18.4264724976563 \tabularnewline
9 & 269.155 & 269.596774188075 & -0.44177418807476 \tabularnewline
10 & 270.899 & 269.498974357273 & 1.40002564272709 \tabularnewline
11 & 276.507 & 269.808911593701 & 6.69808840629946 \tabularnewline
12 & 319.957 & 271.291732298293 & 48.6652677017069 \tabularnewline
13 & 250.746 & 282.065233955089 & -31.3192339550889 \tabularnewline
14 & 247.772 & 275.131791793157 & -27.3597917931569 \tabularnewline
15 & 280.449 & 269.074889691644 & 11.3741103083561 \tabularnewline
16 & 274.925 & 271.592886654134 & 3.33211334586633 \tabularnewline
17 & 296.013 & 272.33054885857 & 23.68245114143 \tabularnewline
18 & 287.881 & 277.573362443262 & 10.307637556738 \tabularnewline
19 & 279.098 & 279.855264003443 & -0.757264003443254 \tabularnewline
20 & 294.763 & 279.687621136548 & 15.0753788634517 \tabularnewline
21 & 261.924 & 283.025003767581 & -21.1010037675807 \tabularnewline
22 & 291.596 & 278.353670190552 & 13.2423298094482 \tabularnewline
23 & 287.537 & 281.28525299857 & 6.25174700143003 \tabularnewline
24 & 326.201 & 282.669262783343 & 43.5317372166568 \tabularnewline
25 & 255.598 & 292.306305076042 & -36.7083050760418 \tabularnewline
26 & 253.086 & 284.179832044413 & -31.0938320444134 \tabularnewline
27 & 285.261 & 277.29628928657 & 7.96471071343046 \tabularnewline
28 & 284.747 & 279.059514439116 & 5.68748556088428 \tabularnewline
29 & 300.402 & 280.318608203662 & 20.0833917963381 \tabularnewline
30 & 288.854 & 284.764663162573 & 4.08933683742669 \tabularnewline
31 & 295.433 & 285.669959265397 & 9.76304073460329 \tabularnewline
32 & 307.256 & 287.831298152389 & 19.4247018476105 \tabularnewline
33 & 273.189 & 292.131532537634 & -18.9425325376337 \tabularnewline
34 & 287.54 & 287.938040642572 & -0.398040642572198 \tabularnewline
35 & 290.705 & 287.849922530318 & 2.85507746968204 \tabularnewline
36 & 337.006 & 288.48197868253 & 48.5240213174702 \tabularnewline
37 & 268.335 & 299.22421125921 & -30.8892112592104 \tabularnewline
38 & 259.06 & 292.385967386434 & -33.325967386434 \tabularnewline
39 & 293.703 & 285.008275208662 & 8.69472479133805 \tabularnewline
40 & 294.262 & 286.933110648159 & 7.32888935184087 \tabularnewline
41 & 312.404 & 288.555577867666 & 23.8484221323343 \tabularnewline
42 & 301.014 & 293.83513405812 & 7.17886594187991 \tabularnewline
43 & 309.942 & 295.424389142317 & 14.5176108576827 \tabularnewline
44 & 317.079 & 298.638293267671 & 18.4407067323289 \tabularnewline
45 & 293.912 & 302.720691123797 & -8.80869112379679 \tabularnewline
46 & 304.06 & 300.770625853466 & 3.28937414653353 \tabularnewline
47 & 301.299 & 301.498826467397 & -0.199826467397486 \tabularnewline
48 & 357.634 & 301.454588946898 & 56.1794110531023 \tabularnewline
49 & 281.493 & 313.891569295352 & -32.3985692953523 \tabularnewline
50 & 282.478 & 306.719184215283 & -24.2411842152832 \tabularnewline
51 & 319.111 & 301.352678478444 & 17.7583215215564 \tabularnewline
52 & 315.223 & 305.284010111244 & 9.93898988875645 \tabularnewline
53 & 328.445 & 307.48430056664 & 20.9606994333597 \tabularnewline
54 & 321.081 & 312.12457361429 & 8.95642638570979 \tabularnewline
55 & 328.04 & 314.107344470435 & 13.9326555295653 \tabularnewline
56 & 326.362 & 317.19175136924 & 9.17024863076034 \tabularnewline
57 & 313.566 & 319.221858126739 & -5.65585812673856 \tabularnewline
58 & 319.768 & 317.969766033616 & 1.79823396638437 \tabularnewline
59 & 324.315 & 318.367858503483 & 5.94714149651662 \tabularnewline
60 & 387.243 & 319.684434817389 & 67.5585651826115 \tabularnewline
61 & 293.308 & 334.640528727873 & -41.3325287278733 \tabularnewline
62 & 295.109 & 325.49034651869 & -30.38134651869 \tabularnewline
63 & 339.19 & 318.764533582428 & 20.425466417572 \tabularnewline
64 & 335.678 & 323.286316913393 & 12.3916830866068 \tabularnewline
65 & 345.401 & 326.029583817468 & 19.3714161825317 \tabularnewline
66 & 351.002 & 330.318021838938 & 20.6839781610623 \tabularnewline
67 & 351.889 & 334.897034418365 & 16.9919655816346 \tabularnewline
68 & 355.773 & 338.658710414232 & 17.1142895857676 \tabularnewline
69 & 333.363 & 342.447466459659 & -9.08446645965915 \tabularnewline
70 & 336.214 & 340.436350132217 & -4.22235013221706 \tabularnewline
71 & 343.91 & 339.501607588031 & 4.40839241196949 \tabularnewline
72 & 405.788 & 340.477536113592 & 65.3104638864085 \tabularnewline
73 & 318.682 & 354.935946066233 & -36.253946066233 \tabularnewline
74 & 314.189 & 346.910058889284 & -32.7210588892835 \tabularnewline
75 & 362.141 & 339.666281164345 & 22.4747188356553 \tabularnewline
76 & 351.811 & 344.64172735106 & 7.16927264893963 \tabularnewline
77 & 373.727 & 346.228858675084 & 27.498141324916 \tabularnewline
78 & 366.795 & 352.316388552422 & 14.4786114475782 \tabularnewline
79 & 362.393 & 355.521659000633 & 6.87134099936662 \tabularnewline
80 & 376.006 & 357.042834309785 & 18.9631656902151 \tabularnewline
81 & 346.423 & 361.240893965675 & -14.8178939656749 \tabularnewline
82 & 349.007 & 357.960513260324 & -8.95351326032386 \tabularnewline
83 & 357.224 & 355.978387310961 & 1.24561268903892 \tabularnewline
84 & 418.473 & 356.25414065627 & 62.2188593437303 \tabularnewline
85 & 329.169 & 370.028132167676 & -40.8591321676759 \tabularnewline
86 & 323.456 & 360.982750340089 & -37.5267503400885 \tabularnewline
87 & 374.439 & 352.675090153336 & 21.7639098466636 \tabularnewline
88 & 358.806 & 357.493177669644 & 1.31282233035552 \tabularnewline
89 & 391.816 & 357.783809864208 & 34.0321901357921 \tabularnewline
90 & 376.944 & 365.3178454121 & 11.6261545879 \tabularnewline
91 & 372.665 & 367.891639857918 & 4.77336014208191 \tabularnewline
92 & 388.357 & 368.948364824776 & 19.4086351752243 \tabularnewline
93 & 354.241 & 373.245042375141 & -19.0040423751406 \tabularnewline
94 & 368.982 & 369.037933451599 & -0.0559334515989462 \tabularnewline
95 & 378.233 & 369.025550921677 & 9.2074490783229 \tabularnewline
96 & 426.699 & 371.063893102556 & 55.6351068974436 \tabularnewline
97 & 343.241 & 383.380375568235 & -40.1393755682348 \tabularnewline
98 & 344.577 & 374.494333230242 & -29.9173332302419 \tabularnewline
99 & 373.623 & 367.871243409827 & 5.75175659017259 \tabularnewline
100 & 369.688 & 369.144565474622 & 0.543434525378188 \tabularnewline
101 & 398.816 & 369.26487083892 & 29.55112916108 \tabularnewline
102 & 379.387 & 375.806890517688 & 3.58010948231197 \tabularnewline
103 & 384.666 & 376.599454028807 & 8.06654597119325 \tabularnewline
104 & 383.879 & 378.385223438686 & 5.49377656131452 \tabularnewline
105 & 351.578 & 379.601433965835 & -28.0234339658355 \tabularnewline
106 & 350.92 & 373.397614968875 & -22.4776149688746 \tabularnewline
107 & 336.629 & 368.421527637098 & -31.7925276370979 \tabularnewline
108 & 385.504 & 361.383307868711 & 24.1206921312891 \tabularnewline
109 & 311.33 & 366.723139105895 & -55.3931391058951 \tabularnewline
110 & 300.545 & 354.460223393802 & -53.915223393802 \tabularnewline
111 & 329.718 & 342.524488197193 & -12.8064881971935 \tabularnewline
112 & 331.023 & 339.689391868208 & -8.66639186820811 \tabularnewline
113 & 348.944 & 337.770828762322 & 11.1731712376783 \tabularnewline
114 & 345.65 & 340.244341896548 & 5.40565810345242 \tabularnewline
115 & 349.26 & 341.441044787212 & 7.8189552127875 \tabularnewline
116 & 354.597 & 343.172002632872 & 11.4249973671282 \tabularnewline
117 & 325.769 & 345.701264956427 & -19.9322649564267 \tabularnewline
118 & 339.734 & 341.2886664098 & -1.55466640979995 \tabularnewline
119 & 340.543 & 340.944494848998 & -0.401494848997913 \tabularnewline
120 & 401.585 & 340.855612045612 & 60.7293879543884 \tabularnewline
121 & 315.998 & 354.299864849339 & -38.3018648493385 \tabularnewline
122 & 312.327 & 345.820610056331 & -33.4936100563305 \tabularnewline
123 & 362.217 & 338.405805197026 & 23.8111948029735 \tabularnewline
124 & 358.067 & 343.677120013016 & 14.3898799869837 \tabularnewline
125 & 367.321 & 346.862747118391 & 20.4582528816093 \tabularnewline
126 & 360.372 & 351.391788706452 & 8.980211293548 \tabularnewline
127 & 363.83 & 353.379825058012 & 10.4501749419875 \tabularnewline
128 & 364.525 & 355.693281499707 & 8.83171850029282 \tabularnewline
129 & 347.945 & 357.648444563403 & -9.70344456340325 \tabularnewline
130 & 357.404 & 355.500299058046 & 1.90370094195447 \tabularnewline
131 & 368.182 & 355.921739773792 & 12.2602602262082 \tabularnewline
132 & 429.343 & 358.635912326369 & 70.7070876736309 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187551&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]250.58[/C][C]236.422[/C][C]14.158[/C][/ROW]
[ROW][C]3[/C][C]279.515[/C][C]239.556293586791[/C][C]39.9587064132093[/C][/ROW]
[ROW][C]4[/C][C]264.417[/C][C]248.402339444071[/C][C]16.0146605559289[/C][/ROW]
[ROW][C]5[/C][C]283.706[/C][C]251.947659960746[/C][C]31.7583400392543[/C][/ROW]
[ROW][C]6[/C][C]281.288[/C][C]258.978311289475[/C][C]22.3096887105247[/C][/ROW]
[ROW][C]7[/C][C]271.146[/C][C]263.917223158998[/C][C]7.22877684100251[/C][/ROW]
[ROW][C]8[/C][C]283.944[/C][C]265.517527502344[/C][C]18.4264724976563[/C][/ROW]
[ROW][C]9[/C][C]269.155[/C][C]269.596774188075[/C][C]-0.44177418807476[/C][/ROW]
[ROW][C]10[/C][C]270.899[/C][C]269.498974357273[/C][C]1.40002564272709[/C][/ROW]
[ROW][C]11[/C][C]276.507[/C][C]269.808911593701[/C][C]6.69808840629946[/C][/ROW]
[ROW][C]12[/C][C]319.957[/C][C]271.291732298293[/C][C]48.6652677017069[/C][/ROW]
[ROW][C]13[/C][C]250.746[/C][C]282.065233955089[/C][C]-31.3192339550889[/C][/ROW]
[ROW][C]14[/C][C]247.772[/C][C]275.131791793157[/C][C]-27.3597917931569[/C][/ROW]
[ROW][C]15[/C][C]280.449[/C][C]269.074889691644[/C][C]11.3741103083561[/C][/ROW]
[ROW][C]16[/C][C]274.925[/C][C]271.592886654134[/C][C]3.33211334586633[/C][/ROW]
[ROW][C]17[/C][C]296.013[/C][C]272.33054885857[/C][C]23.68245114143[/C][/ROW]
[ROW][C]18[/C][C]287.881[/C][C]277.573362443262[/C][C]10.307637556738[/C][/ROW]
[ROW][C]19[/C][C]279.098[/C][C]279.855264003443[/C][C]-0.757264003443254[/C][/ROW]
[ROW][C]20[/C][C]294.763[/C][C]279.687621136548[/C][C]15.0753788634517[/C][/ROW]
[ROW][C]21[/C][C]261.924[/C][C]283.025003767581[/C][C]-21.1010037675807[/C][/ROW]
[ROW][C]22[/C][C]291.596[/C][C]278.353670190552[/C][C]13.2423298094482[/C][/ROW]
[ROW][C]23[/C][C]287.537[/C][C]281.28525299857[/C][C]6.25174700143003[/C][/ROW]
[ROW][C]24[/C][C]326.201[/C][C]282.669262783343[/C][C]43.5317372166568[/C][/ROW]
[ROW][C]25[/C][C]255.598[/C][C]292.306305076042[/C][C]-36.7083050760418[/C][/ROW]
[ROW][C]26[/C][C]253.086[/C][C]284.179832044413[/C][C]-31.0938320444134[/C][/ROW]
[ROW][C]27[/C][C]285.261[/C][C]277.29628928657[/C][C]7.96471071343046[/C][/ROW]
[ROW][C]28[/C][C]284.747[/C][C]279.059514439116[/C][C]5.68748556088428[/C][/ROW]
[ROW][C]29[/C][C]300.402[/C][C]280.318608203662[/C][C]20.0833917963381[/C][/ROW]
[ROW][C]30[/C][C]288.854[/C][C]284.764663162573[/C][C]4.08933683742669[/C][/ROW]
[ROW][C]31[/C][C]295.433[/C][C]285.669959265397[/C][C]9.76304073460329[/C][/ROW]
[ROW][C]32[/C][C]307.256[/C][C]287.831298152389[/C][C]19.4247018476105[/C][/ROW]
[ROW][C]33[/C][C]273.189[/C][C]292.131532537634[/C][C]-18.9425325376337[/C][/ROW]
[ROW][C]34[/C][C]287.54[/C][C]287.938040642572[/C][C]-0.398040642572198[/C][/ROW]
[ROW][C]35[/C][C]290.705[/C][C]287.849922530318[/C][C]2.85507746968204[/C][/ROW]
[ROW][C]36[/C][C]337.006[/C][C]288.48197868253[/C][C]48.5240213174702[/C][/ROW]
[ROW][C]37[/C][C]268.335[/C][C]299.22421125921[/C][C]-30.8892112592104[/C][/ROW]
[ROW][C]38[/C][C]259.06[/C][C]292.385967386434[/C][C]-33.325967386434[/C][/ROW]
[ROW][C]39[/C][C]293.703[/C][C]285.008275208662[/C][C]8.69472479133805[/C][/ROW]
[ROW][C]40[/C][C]294.262[/C][C]286.933110648159[/C][C]7.32888935184087[/C][/ROW]
[ROW][C]41[/C][C]312.404[/C][C]288.555577867666[/C][C]23.8484221323343[/C][/ROW]
[ROW][C]42[/C][C]301.014[/C][C]293.83513405812[/C][C]7.17886594187991[/C][/ROW]
[ROW][C]43[/C][C]309.942[/C][C]295.424389142317[/C][C]14.5176108576827[/C][/ROW]
[ROW][C]44[/C][C]317.079[/C][C]298.638293267671[/C][C]18.4407067323289[/C][/ROW]
[ROW][C]45[/C][C]293.912[/C][C]302.720691123797[/C][C]-8.80869112379679[/C][/ROW]
[ROW][C]46[/C][C]304.06[/C][C]300.770625853466[/C][C]3.28937414653353[/C][/ROW]
[ROW][C]47[/C][C]301.299[/C][C]301.498826467397[/C][C]-0.199826467397486[/C][/ROW]
[ROW][C]48[/C][C]357.634[/C][C]301.454588946898[/C][C]56.1794110531023[/C][/ROW]
[ROW][C]49[/C][C]281.493[/C][C]313.891569295352[/C][C]-32.3985692953523[/C][/ROW]
[ROW][C]50[/C][C]282.478[/C][C]306.719184215283[/C][C]-24.2411842152832[/C][/ROW]
[ROW][C]51[/C][C]319.111[/C][C]301.352678478444[/C][C]17.7583215215564[/C][/ROW]
[ROW][C]52[/C][C]315.223[/C][C]305.284010111244[/C][C]9.93898988875645[/C][/ROW]
[ROW][C]53[/C][C]328.445[/C][C]307.48430056664[/C][C]20.9606994333597[/C][/ROW]
[ROW][C]54[/C][C]321.081[/C][C]312.12457361429[/C][C]8.95642638570979[/C][/ROW]
[ROW][C]55[/C][C]328.04[/C][C]314.107344470435[/C][C]13.9326555295653[/C][/ROW]
[ROW][C]56[/C][C]326.362[/C][C]317.19175136924[/C][C]9.17024863076034[/C][/ROW]
[ROW][C]57[/C][C]313.566[/C][C]319.221858126739[/C][C]-5.65585812673856[/C][/ROW]
[ROW][C]58[/C][C]319.768[/C][C]317.969766033616[/C][C]1.79823396638437[/C][/ROW]
[ROW][C]59[/C][C]324.315[/C][C]318.367858503483[/C][C]5.94714149651662[/C][/ROW]
[ROW][C]60[/C][C]387.243[/C][C]319.684434817389[/C][C]67.5585651826115[/C][/ROW]
[ROW][C]61[/C][C]293.308[/C][C]334.640528727873[/C][C]-41.3325287278733[/C][/ROW]
[ROW][C]62[/C][C]295.109[/C][C]325.49034651869[/C][C]-30.38134651869[/C][/ROW]
[ROW][C]63[/C][C]339.19[/C][C]318.764533582428[/C][C]20.425466417572[/C][/ROW]
[ROW][C]64[/C][C]335.678[/C][C]323.286316913393[/C][C]12.3916830866068[/C][/ROW]
[ROW][C]65[/C][C]345.401[/C][C]326.029583817468[/C][C]19.3714161825317[/C][/ROW]
[ROW][C]66[/C][C]351.002[/C][C]330.318021838938[/C][C]20.6839781610623[/C][/ROW]
[ROW][C]67[/C][C]351.889[/C][C]334.897034418365[/C][C]16.9919655816346[/C][/ROW]
[ROW][C]68[/C][C]355.773[/C][C]338.658710414232[/C][C]17.1142895857676[/C][/ROW]
[ROW][C]69[/C][C]333.363[/C][C]342.447466459659[/C][C]-9.08446645965915[/C][/ROW]
[ROW][C]70[/C][C]336.214[/C][C]340.436350132217[/C][C]-4.22235013221706[/C][/ROW]
[ROW][C]71[/C][C]343.91[/C][C]339.501607588031[/C][C]4.40839241196949[/C][/ROW]
[ROW][C]72[/C][C]405.788[/C][C]340.477536113592[/C][C]65.3104638864085[/C][/ROW]
[ROW][C]73[/C][C]318.682[/C][C]354.935946066233[/C][C]-36.253946066233[/C][/ROW]
[ROW][C]74[/C][C]314.189[/C][C]346.910058889284[/C][C]-32.7210588892835[/C][/ROW]
[ROW][C]75[/C][C]362.141[/C][C]339.666281164345[/C][C]22.4747188356553[/C][/ROW]
[ROW][C]76[/C][C]351.811[/C][C]344.64172735106[/C][C]7.16927264893963[/C][/ROW]
[ROW][C]77[/C][C]373.727[/C][C]346.228858675084[/C][C]27.498141324916[/C][/ROW]
[ROW][C]78[/C][C]366.795[/C][C]352.316388552422[/C][C]14.4786114475782[/C][/ROW]
[ROW][C]79[/C][C]362.393[/C][C]355.521659000633[/C][C]6.87134099936662[/C][/ROW]
[ROW][C]80[/C][C]376.006[/C][C]357.042834309785[/C][C]18.9631656902151[/C][/ROW]
[ROW][C]81[/C][C]346.423[/C][C]361.240893965675[/C][C]-14.8178939656749[/C][/ROW]
[ROW][C]82[/C][C]349.007[/C][C]357.960513260324[/C][C]-8.95351326032386[/C][/ROW]
[ROW][C]83[/C][C]357.224[/C][C]355.978387310961[/C][C]1.24561268903892[/C][/ROW]
[ROW][C]84[/C][C]418.473[/C][C]356.25414065627[/C][C]62.2188593437303[/C][/ROW]
[ROW][C]85[/C][C]329.169[/C][C]370.028132167676[/C][C]-40.8591321676759[/C][/ROW]
[ROW][C]86[/C][C]323.456[/C][C]360.982750340089[/C][C]-37.5267503400885[/C][/ROW]
[ROW][C]87[/C][C]374.439[/C][C]352.675090153336[/C][C]21.7639098466636[/C][/ROW]
[ROW][C]88[/C][C]358.806[/C][C]357.493177669644[/C][C]1.31282233035552[/C][/ROW]
[ROW][C]89[/C][C]391.816[/C][C]357.783809864208[/C][C]34.0321901357921[/C][/ROW]
[ROW][C]90[/C][C]376.944[/C][C]365.3178454121[/C][C]11.6261545879[/C][/ROW]
[ROW][C]91[/C][C]372.665[/C][C]367.891639857918[/C][C]4.77336014208191[/C][/ROW]
[ROW][C]92[/C][C]388.357[/C][C]368.948364824776[/C][C]19.4086351752243[/C][/ROW]
[ROW][C]93[/C][C]354.241[/C][C]373.245042375141[/C][C]-19.0040423751406[/C][/ROW]
[ROW][C]94[/C][C]368.982[/C][C]369.037933451599[/C][C]-0.0559334515989462[/C][/ROW]
[ROW][C]95[/C][C]378.233[/C][C]369.025550921677[/C][C]9.2074490783229[/C][/ROW]
[ROW][C]96[/C][C]426.699[/C][C]371.063893102556[/C][C]55.6351068974436[/C][/ROW]
[ROW][C]97[/C][C]343.241[/C][C]383.380375568235[/C][C]-40.1393755682348[/C][/ROW]
[ROW][C]98[/C][C]344.577[/C][C]374.494333230242[/C][C]-29.9173332302419[/C][/ROW]
[ROW][C]99[/C][C]373.623[/C][C]367.871243409827[/C][C]5.75175659017259[/C][/ROW]
[ROW][C]100[/C][C]369.688[/C][C]369.144565474622[/C][C]0.543434525378188[/C][/ROW]
[ROW][C]101[/C][C]398.816[/C][C]369.26487083892[/C][C]29.55112916108[/C][/ROW]
[ROW][C]102[/C][C]379.387[/C][C]375.806890517688[/C][C]3.58010948231197[/C][/ROW]
[ROW][C]103[/C][C]384.666[/C][C]376.599454028807[/C][C]8.06654597119325[/C][/ROW]
[ROW][C]104[/C][C]383.879[/C][C]378.385223438686[/C][C]5.49377656131452[/C][/ROW]
[ROW][C]105[/C][C]351.578[/C][C]379.601433965835[/C][C]-28.0234339658355[/C][/ROW]
[ROW][C]106[/C][C]350.92[/C][C]373.397614968875[/C][C]-22.4776149688746[/C][/ROW]
[ROW][C]107[/C][C]336.629[/C][C]368.421527637098[/C][C]-31.7925276370979[/C][/ROW]
[ROW][C]108[/C][C]385.504[/C][C]361.383307868711[/C][C]24.1206921312891[/C][/ROW]
[ROW][C]109[/C][C]311.33[/C][C]366.723139105895[/C][C]-55.3931391058951[/C][/ROW]
[ROW][C]110[/C][C]300.545[/C][C]354.460223393802[/C][C]-53.915223393802[/C][/ROW]
[ROW][C]111[/C][C]329.718[/C][C]342.524488197193[/C][C]-12.8064881971935[/C][/ROW]
[ROW][C]112[/C][C]331.023[/C][C]339.689391868208[/C][C]-8.66639186820811[/C][/ROW]
[ROW][C]113[/C][C]348.944[/C][C]337.770828762322[/C][C]11.1731712376783[/C][/ROW]
[ROW][C]114[/C][C]345.65[/C][C]340.244341896548[/C][C]5.40565810345242[/C][/ROW]
[ROW][C]115[/C][C]349.26[/C][C]341.441044787212[/C][C]7.8189552127875[/C][/ROW]
[ROW][C]116[/C][C]354.597[/C][C]343.172002632872[/C][C]11.4249973671282[/C][/ROW]
[ROW][C]117[/C][C]325.769[/C][C]345.701264956427[/C][C]-19.9322649564267[/C][/ROW]
[ROW][C]118[/C][C]339.734[/C][C]341.2886664098[/C][C]-1.55466640979995[/C][/ROW]
[ROW][C]119[/C][C]340.543[/C][C]340.944494848998[/C][C]-0.401494848997913[/C][/ROW]
[ROW][C]120[/C][C]401.585[/C][C]340.855612045612[/C][C]60.7293879543884[/C][/ROW]
[ROW][C]121[/C][C]315.998[/C][C]354.299864849339[/C][C]-38.3018648493385[/C][/ROW]
[ROW][C]122[/C][C]312.327[/C][C]345.820610056331[/C][C]-33.4936100563305[/C][/ROW]
[ROW][C]123[/C][C]362.217[/C][C]338.405805197026[/C][C]23.8111948029735[/C][/ROW]
[ROW][C]124[/C][C]358.067[/C][C]343.677120013016[/C][C]14.3898799869837[/C][/ROW]
[ROW][C]125[/C][C]367.321[/C][C]346.862747118391[/C][C]20.4582528816093[/C][/ROW]
[ROW][C]126[/C][C]360.372[/C][C]351.391788706452[/C][C]8.980211293548[/C][/ROW]
[ROW][C]127[/C][C]363.83[/C][C]353.379825058012[/C][C]10.4501749419875[/C][/ROW]
[ROW][C]128[/C][C]364.525[/C][C]355.693281499707[/C][C]8.83171850029282[/C][/ROW]
[ROW][C]129[/C][C]347.945[/C][C]357.648444563403[/C][C]-9.70344456340325[/C][/ROW]
[ROW][C]130[/C][C]357.404[/C][C]355.500299058046[/C][C]1.90370094195447[/C][/ROW]
[ROW][C]131[/C][C]368.182[/C][C]355.921739773792[/C][C]12.2602602262082[/C][/ROW]
[ROW][C]132[/C][C]429.343[/C][C]358.635912326369[/C][C]70.7070876736309[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187551&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187551&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
2250.58236.42214.158
3279.515239.55629358679139.9587064132093
4264.417248.40233944407116.0146605559289
5283.706251.94765996074631.7583400392543
6281.288258.97831128947522.3096887105247
7271.146263.9172231589987.22877684100251
8283.944265.51752750234418.4264724976563
9269.155269.596774188075-0.44177418807476
10270.899269.4989743572731.40002564272709
11276.507269.8089115937016.69808840629946
12319.957271.29173229829348.6652677017069
13250.746282.065233955089-31.3192339550889
14247.772275.131791793157-27.3597917931569
15280.449269.07488969164411.3741103083561
16274.925271.5928866541343.33211334586633
17296.013272.3305488585723.68245114143
18287.881277.57336244326210.307637556738
19279.098279.855264003443-0.757264003443254
20294.763279.68762113654815.0753788634517
21261.924283.025003767581-21.1010037675807
22291.596278.35367019055213.2423298094482
23287.537281.285252998576.25174700143003
24326.201282.66926278334343.5317372166568
25255.598292.306305076042-36.7083050760418
26253.086284.179832044413-31.0938320444134
27285.261277.296289286577.96471071343046
28284.747279.0595144391165.68748556088428
29300.402280.31860820366220.0833917963381
30288.854284.7646631625734.08933683742669
31295.433285.6699592653979.76304073460329
32307.256287.83129815238919.4247018476105
33273.189292.131532537634-18.9425325376337
34287.54287.938040642572-0.398040642572198
35290.705287.8499225303182.85507746968204
36337.006288.4819786825348.5240213174702
37268.335299.22421125921-30.8892112592104
38259.06292.385967386434-33.325967386434
39293.703285.0082752086628.69472479133805
40294.262286.9331106481597.32888935184087
41312.404288.55557786766623.8484221323343
42301.014293.835134058127.17886594187991
43309.942295.42438914231714.5176108576827
44317.079298.63829326767118.4407067323289
45293.912302.720691123797-8.80869112379679
46304.06300.7706258534663.28937414653353
47301.299301.498826467397-0.199826467397486
48357.634301.45458894689856.1794110531023
49281.493313.891569295352-32.3985692953523
50282.478306.719184215283-24.2411842152832
51319.111301.35267847844417.7583215215564
52315.223305.2840101112449.93898988875645
53328.445307.4843005666420.9606994333597
54321.081312.124573614298.95642638570979
55328.04314.10734447043513.9326555295653
56326.362317.191751369249.17024863076034
57313.566319.221858126739-5.65585812673856
58319.768317.9697660336161.79823396638437
59324.315318.3678585034835.94714149651662
60387.243319.68443481738967.5585651826115
61293.308334.640528727873-41.3325287278733
62295.109325.49034651869-30.38134651869
63339.19318.76453358242820.425466417572
64335.678323.28631691339312.3916830866068
65345.401326.02958381746819.3714161825317
66351.002330.31802183893820.6839781610623
67351.889334.89703441836516.9919655816346
68355.773338.65871041423217.1142895857676
69333.363342.447466459659-9.08446645965915
70336.214340.436350132217-4.22235013221706
71343.91339.5016075880314.40839241196949
72405.788340.47753611359265.3104638864085
73318.682354.935946066233-36.253946066233
74314.189346.910058889284-32.7210588892835
75362.141339.66628116434522.4747188356553
76351.811344.641727351067.16927264893963
77373.727346.22885867508427.498141324916
78366.795352.31638855242214.4786114475782
79362.393355.5216590006336.87134099936662
80376.006357.04283430978518.9631656902151
81346.423361.240893965675-14.8178939656749
82349.007357.960513260324-8.95351326032386
83357.224355.9783873109611.24561268903892
84418.473356.2541406562762.2188593437303
85329.169370.028132167676-40.8591321676759
86323.456360.982750340089-37.5267503400885
87374.439352.67509015333621.7639098466636
88358.806357.4931776696441.31282233035552
89391.816357.78380986420834.0321901357921
90376.944365.317845412111.6261545879
91372.665367.8916398579184.77336014208191
92388.357368.94836482477619.4086351752243
93354.241373.245042375141-19.0040423751406
94368.982369.037933451599-0.0559334515989462
95378.233369.0255509216779.2074490783229
96426.699371.06389310255655.6351068974436
97343.241383.380375568235-40.1393755682348
98344.577374.494333230242-29.9173332302419
99373.623367.8712434098275.75175659017259
100369.688369.1445654746220.543434525378188
101398.816369.2648708389229.55112916108
102379.387375.8068905176883.58010948231197
103384.666376.5994540288078.06654597119325
104383.879378.3852234386865.49377656131452
105351.578379.601433965835-28.0234339658355
106350.92373.397614968875-22.4776149688746
107336.629368.421527637098-31.7925276370979
108385.504361.38330786871124.1206921312891
109311.33366.723139105895-55.3931391058951
110300.545354.460223393802-53.915223393802
111329.718342.524488197193-12.8064881971935
112331.023339.689391868208-8.66639186820811
113348.944337.77082876232211.1731712376783
114345.65340.2443418965485.40565810345242
115349.26341.4410447872127.8189552127875
116354.597343.17200263287211.4249973671282
117325.769345.701264956427-19.9322649564267
118339.734341.2886664098-1.55466640979995
119340.543340.944494848998-0.401494848997913
120401.585340.85561204561260.7293879543884
121315.998354.299864849339-38.3018648493385
122312.327345.820610056331-33.4936100563305
123362.217338.40580519702623.8111948029735
124358.067343.67712001301614.3898799869837
125367.321346.86274711839120.4582528816093
126360.372351.3917887064528.980211293548
127363.83353.37982505801210.4501749419875
128364.525355.6932814997078.83171850029282
129347.945357.648444563403-9.70344456340325
130357.404355.5002990580461.90370094195447
131368.182355.92173977379212.2602602262082
132429.343358.63591232636970.7070876736309







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133374.28902515559325.232927478684423.345122832497
134374.28902515559324.045211316102424.532838995078
135374.28902515559322.884930581441425.693119729739
136374.28902515559321.750267568081426.827782743099
137374.28902515559320.639596839065427.938453472115
138374.28902515559319.551457904744429.026592406436
139374.28902515559318.484532698514430.093517612666
140374.28902515559317.437626859305431.140423451875
141374.28902515559316.409654062827432.168396248353
142374.28902515559315.39962281574433.17842749544
143374.28902515559314.406625255489434.171425055691
144374.28902515559313.429827595594435.148222715586

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 374.28902515559 & 325.232927478684 & 423.345122832497 \tabularnewline
134 & 374.28902515559 & 324.045211316102 & 424.532838995078 \tabularnewline
135 & 374.28902515559 & 322.884930581441 & 425.693119729739 \tabularnewline
136 & 374.28902515559 & 321.750267568081 & 426.827782743099 \tabularnewline
137 & 374.28902515559 & 320.639596839065 & 427.938453472115 \tabularnewline
138 & 374.28902515559 & 319.551457904744 & 429.026592406436 \tabularnewline
139 & 374.28902515559 & 318.484532698514 & 430.093517612666 \tabularnewline
140 & 374.28902515559 & 317.437626859305 & 431.140423451875 \tabularnewline
141 & 374.28902515559 & 316.409654062827 & 432.168396248353 \tabularnewline
142 & 374.28902515559 & 315.39962281574 & 433.17842749544 \tabularnewline
143 & 374.28902515559 & 314.406625255489 & 434.171425055691 \tabularnewline
144 & 374.28902515559 & 313.429827595594 & 435.148222715586 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187551&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]133[/C][C]374.28902515559[/C][C]325.232927478684[/C][C]423.345122832497[/C][/ROW]
[ROW][C]134[/C][C]374.28902515559[/C][C]324.045211316102[/C][C]424.532838995078[/C][/ROW]
[ROW][C]135[/C][C]374.28902515559[/C][C]322.884930581441[/C][C]425.693119729739[/C][/ROW]
[ROW][C]136[/C][C]374.28902515559[/C][C]321.750267568081[/C][C]426.827782743099[/C][/ROW]
[ROW][C]137[/C][C]374.28902515559[/C][C]320.639596839065[/C][C]427.938453472115[/C][/ROW]
[ROW][C]138[/C][C]374.28902515559[/C][C]319.551457904744[/C][C]429.026592406436[/C][/ROW]
[ROW][C]139[/C][C]374.28902515559[/C][C]318.484532698514[/C][C]430.093517612666[/C][/ROW]
[ROW][C]140[/C][C]374.28902515559[/C][C]317.437626859305[/C][C]431.140423451875[/C][/ROW]
[ROW][C]141[/C][C]374.28902515559[/C][C]316.409654062827[/C][C]432.168396248353[/C][/ROW]
[ROW][C]142[/C][C]374.28902515559[/C][C]315.39962281574[/C][C]433.17842749544[/C][/ROW]
[ROW][C]143[/C][C]374.28902515559[/C][C]314.406625255489[/C][C]434.171425055691[/C][/ROW]
[ROW][C]144[/C][C]374.28902515559[/C][C]313.429827595594[/C][C]435.148222715586[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187551&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187551&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
133374.28902515559325.232927478684423.345122832497
134374.28902515559324.045211316102424.532838995078
135374.28902515559322.884930581441425.693119729739
136374.28902515559321.750267568081426.827782743099
137374.28902515559320.639596839065427.938453472115
138374.28902515559319.551457904744429.026592406436
139374.28902515559318.484532698514430.093517612666
140374.28902515559317.437626859305431.140423451875
141374.28902515559316.409654062827432.168396248353
142374.28902515559315.39962281574433.17842749544
143374.28902515559314.406625255489434.171425055691
144374.28902515559313.429827595594435.148222715586



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')