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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 24 Jan 2018 08:19:43 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Jan/24/t1516778482z1qhhst3yuekfwi.htm/, Retrieved Mon, 06 May 2024 04:21:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=311301, Retrieved Mon, 06 May 2024 04:21:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-01-24 07:19:43] [5ca4f3017674ec66fa2eb11210098efd] [Current]
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Dataseries X:
67
72
74
62
56
66
65
59
61
69
74
69
66
68
58
64
66
57
68
62
59
73
61
61
57
58
57
67
81
79
76
78
74
67
84
85
79
82
87
90
87
93
92
82
80
79
77
72
65
73
76
77
76
76
76
75
78
73
80
77
83
84
85
81
84
83
83
88
92
92
89
82
73
81
91
80
81
82
84
87
85
74
81
82
86
85
82
86
88
86
83
81
81
81
82
86
85
87
89
90
90
92
86
86
82
80
79
77
79
76
78
78
77
72
75
79
81
86
88
97
94
96
94
91
92
93
93
87
84
80
78
75
73
81
76
77
71
71
78
67
76
68
82
64
71
81
69
63
70
77
75
76
68




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311301&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=311301&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311301&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.505934050421326
beta0
gamma0.614753194631182

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.505934050421326 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.614753194631182 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311301&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]0.505934050421326[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.614753194631182[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311301&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311301&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
alpha0.505934050421326
beta0
gamma0.614753194631182







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
136667.2389179765938-1.23891797659384
146868.2527425199986-0.252742519998606
155857.97203397855240.0279660214475825
166463.7957321155820.20426788441803
176666.1661262284274-0.166126228427359
185757.7548264944109-0.754826494410914
196863.13301395362614.86698604637386
206259.63090975954212.36909024045787
215963.5944944682933-4.59449446829334
227369.81541478416453.18458521583551
236175.8889289454327-14.8889289454327
246163.5808287567839-2.58082875678387
255759.3489698748122-2.34896987481224
265859.8501483184963-1.85014831849634
275750.18481460978896.81518539021107
286759.04681443789437.9531855621057
298165.193543028526215.8064569714738
307963.771130957860315.2288690421397
317680.7745805556953-4.77458055569528
327870.50467518486187.49532481513823
337475.03816745881-1.03816745880998
346788.0897478063629-21.0897478063629
358475.79641547251718.20358452748295
368578.65645368391216.34354631608788
377978.08072121000130.919278789998728
388281.09237068181250.907629318187517
398772.884218358987314.1157816410127
409088.12770259490841.87229740509156
418794.5362009609565-7.53620096095655
429378.999023967223514.0009760327765
439289.69189698534412.3081030146559
448285.8645734379066-3.8645734379066
458081.8886566908577-1.8886566908577
467988.1462219908835-9.14622199088346
477791.9425284422926-14.9425284422926
487282.4089048579976-10.4089048579976
496572.1309553167814-7.13095531678141
507370.71767012198752.2823298780125
517667.43409742596568.5659025740344
527775.47699426213071.52300573786933
537678.3629995362129-2.36299953621294
547672.3257546088863.67424539111398
557674.20538178362671.79461821637331
567569.43702714597485.56297285402519
577870.99253873315727.00746126684277
587379.0333963234137-6.03339632341368
598081.8619524077274-1.86195240772744
607780.0979717167554-3.09797171675537
618374.15299084507468.84700915492542
628484.6251215250304-0.625121525030352
638581.20499825031023.79500174968983
648184.8878921135592-3.88789211355918
658483.9290016757290.0709983242709598
668380.64128315400192.35871684599815
678381.23902542201321.76097457798677
688877.147922367463710.8520776325363
699281.620441528024910.3795584719751
709287.40786172378114.59213827621886
718998.3970977767093-9.39709777670926
728292.243856556926-10.243856556926
737386.0618209137261-13.0618209137261
748182.4978113431156-1.49781134311557
759179.999460727911311.0005392720887
768084.958908755379-4.95890875537904
778184.6807684395279-3.6807684395279
788280.21446158051831.78553841948165
798480.34654339938083.65345660061922
808779.76841013851327.2315898614868
818582.11148560127832.8885143987217
827482.3977034179631-8.3977034179631
838181.797201665542-0.797201665542019
848279.73201344283572.26798655716431
858678.77038456556487.22961543443519
868589.5936325680611-4.5936325680611
878289.2516734130156-7.25167341301558
888680.28501949251415.71498050748593
898885.84488608996632.15511391003373
908685.93168166221160.068318337788412
918385.7311588666812-2.73115886668124
928182.8966530067351-1.89665300673508
938179.39649664417331.60350335582667
948175.69912257653465.30087742346538
958284.5596984497991-2.55969844979909
968682.50753939901573.49246060098432
978583.55530637499671.44469362500331
988787.8089885900377-0.808988590037657
998988.5012667561150.498733243885027
1009087.24949688748742.75050311251256
1019090.2944232567848-0.294423256784796
1029288.46357063704073.53642936295925
1038689.1047710797122-3.10477107971217
1048686.2752326742259-0.275232674225919
1058284.5728653877551-2.57286538775514
1068079.72385840741630.276141592583656
1077983.6364813630005-4.63648136300048
1087782.332637895583-5.33263789558303
1097978.37237391567420.62762608432584
1107681.316991480479-5.31699148047899
1117879.9675877692197-1.96758776921966
1127878.219364428558-0.219364428558023
1137778.7297866044766-1.72978660447663
1147277.3727837656932-5.37278376569316
1157572.03343213882942.96656786117056
1167973.17868645888915.82131354111088
1178174.10072948478476.89927051521533
1188675.06234330595910.937656694041
1198882.85528272607695.14471727392308
1209786.295366532807910.7046334671921
1219492.37344692116261.62655307883739
1229694.12151882011781.87848117988216
1239497.9999125592402-3.99991255924019
1249195.7297739373148-4.72977393731477
1259293.546386066011-1.54638606601104
1269390.80944840692642.19055159307358
1279391.81218551414921.18781448585079
1288792.990069475066-5.99006947506601
1298487.9090296803863-3.90902968038627
1308084.289289039946-4.28928903994597
1317882.5593209627758-4.55932096277581
1327582.3963697708013-7.39636977080134
1337376.8968132897923-3.89681328979231
1348175.69978504651445.30021495348564
1357679.2766584270916-3.27665842709159
1367777.1852554915098-0.185255491509764
1377178.0570023807069-7.05700238070689
1387173.7972418651419-2.79724186514194
1397872.03535507272185.96464492727819
1406773.6856730833396-6.68567308333959
1417669.12827169506366.8717283049364
1426871.0545603628094-3.05456036280943
1438269.768114126663512.2318858733365
1446477.0844833197049-13.0844833197049
1457169.78703413624731.21296586375266
1468173.74931496092547.25068503907464
1476975.7388599291611-6.73885992916109
1486372.8001770128146-9.80017701281457
1497066.75063491601183.24936508398818
1507768.94432618983578.05567381016431
1517575.3106743313491-0.310674331349091
1527669.96192765380126.03807234619879
1536876.0649700505324-8.06497005053239

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 66 & 67.2389179765938 & -1.23891797659384 \tabularnewline
14 & 68 & 68.2527425199986 & -0.252742519998606 \tabularnewline
15 & 58 & 57.9720339785524 & 0.0279660214475825 \tabularnewline
16 & 64 & 63.795732115582 & 0.20426788441803 \tabularnewline
17 & 66 & 66.1661262284274 & -0.166126228427359 \tabularnewline
18 & 57 & 57.7548264944109 & -0.754826494410914 \tabularnewline
19 & 68 & 63.1330139536261 & 4.86698604637386 \tabularnewline
20 & 62 & 59.6309097595421 & 2.36909024045787 \tabularnewline
21 & 59 & 63.5944944682933 & -4.59449446829334 \tabularnewline
22 & 73 & 69.8154147841645 & 3.18458521583551 \tabularnewline
23 & 61 & 75.8889289454327 & -14.8889289454327 \tabularnewline
24 & 61 & 63.5808287567839 & -2.58082875678387 \tabularnewline
25 & 57 & 59.3489698748122 & -2.34896987481224 \tabularnewline
26 & 58 & 59.8501483184963 & -1.85014831849634 \tabularnewline
27 & 57 & 50.1848146097889 & 6.81518539021107 \tabularnewline
28 & 67 & 59.0468144378943 & 7.9531855621057 \tabularnewline
29 & 81 & 65.1935430285262 & 15.8064569714738 \tabularnewline
30 & 79 & 63.7711309578603 & 15.2288690421397 \tabularnewline
31 & 76 & 80.7745805556953 & -4.77458055569528 \tabularnewline
32 & 78 & 70.5046751848618 & 7.49532481513823 \tabularnewline
33 & 74 & 75.03816745881 & -1.03816745880998 \tabularnewline
34 & 67 & 88.0897478063629 & -21.0897478063629 \tabularnewline
35 & 84 & 75.7964154725171 & 8.20358452748295 \tabularnewline
36 & 85 & 78.6564536839121 & 6.34354631608788 \tabularnewline
37 & 79 & 78.0807212100013 & 0.919278789998728 \tabularnewline
38 & 82 & 81.0923706818125 & 0.907629318187517 \tabularnewline
39 & 87 & 72.8842183589873 & 14.1157816410127 \tabularnewline
40 & 90 & 88.1277025949084 & 1.87229740509156 \tabularnewline
41 & 87 & 94.5362009609565 & -7.53620096095655 \tabularnewline
42 & 93 & 78.9990239672235 & 14.0009760327765 \tabularnewline
43 & 92 & 89.6918969853441 & 2.3081030146559 \tabularnewline
44 & 82 & 85.8645734379066 & -3.8645734379066 \tabularnewline
45 & 80 & 81.8886566908577 & -1.8886566908577 \tabularnewline
46 & 79 & 88.1462219908835 & -9.14622199088346 \tabularnewline
47 & 77 & 91.9425284422926 & -14.9425284422926 \tabularnewline
48 & 72 & 82.4089048579976 & -10.4089048579976 \tabularnewline
49 & 65 & 72.1309553167814 & -7.13095531678141 \tabularnewline
50 & 73 & 70.7176701219875 & 2.2823298780125 \tabularnewline
51 & 76 & 67.4340974259656 & 8.5659025740344 \tabularnewline
52 & 77 & 75.4769942621307 & 1.52300573786933 \tabularnewline
53 & 76 & 78.3629995362129 & -2.36299953621294 \tabularnewline
54 & 76 & 72.325754608886 & 3.67424539111398 \tabularnewline
55 & 76 & 74.2053817836267 & 1.79461821637331 \tabularnewline
56 & 75 & 69.4370271459748 & 5.56297285402519 \tabularnewline
57 & 78 & 70.9925387331572 & 7.00746126684277 \tabularnewline
58 & 73 & 79.0333963234137 & -6.03339632341368 \tabularnewline
59 & 80 & 81.8619524077274 & -1.86195240772744 \tabularnewline
60 & 77 & 80.0979717167554 & -3.09797171675537 \tabularnewline
61 & 83 & 74.1529908450746 & 8.84700915492542 \tabularnewline
62 & 84 & 84.6251215250304 & -0.625121525030352 \tabularnewline
63 & 85 & 81.2049982503102 & 3.79500174968983 \tabularnewline
64 & 81 & 84.8878921135592 & -3.88789211355918 \tabularnewline
65 & 84 & 83.929001675729 & 0.0709983242709598 \tabularnewline
66 & 83 & 80.6412831540019 & 2.35871684599815 \tabularnewline
67 & 83 & 81.2390254220132 & 1.76097457798677 \tabularnewline
68 & 88 & 77.1479223674637 & 10.8520776325363 \tabularnewline
69 & 92 & 81.6204415280249 & 10.3795584719751 \tabularnewline
70 & 92 & 87.4078617237811 & 4.59213827621886 \tabularnewline
71 & 89 & 98.3970977767093 & -9.39709777670926 \tabularnewline
72 & 82 & 92.243856556926 & -10.243856556926 \tabularnewline
73 & 73 & 86.0618209137261 & -13.0618209137261 \tabularnewline
74 & 81 & 82.4978113431156 & -1.49781134311557 \tabularnewline
75 & 91 & 79.9994607279113 & 11.0005392720887 \tabularnewline
76 & 80 & 84.958908755379 & -4.95890875537904 \tabularnewline
77 & 81 & 84.6807684395279 & -3.6807684395279 \tabularnewline
78 & 82 & 80.2144615805183 & 1.78553841948165 \tabularnewline
79 & 84 & 80.3465433993808 & 3.65345660061922 \tabularnewline
80 & 87 & 79.7684101385132 & 7.2315898614868 \tabularnewline
81 & 85 & 82.1114856012783 & 2.8885143987217 \tabularnewline
82 & 74 & 82.3977034179631 & -8.3977034179631 \tabularnewline
83 & 81 & 81.797201665542 & -0.797201665542019 \tabularnewline
84 & 82 & 79.7320134428357 & 2.26798655716431 \tabularnewline
85 & 86 & 78.7703845655648 & 7.22961543443519 \tabularnewline
86 & 85 & 89.5936325680611 & -4.5936325680611 \tabularnewline
87 & 82 & 89.2516734130156 & -7.25167341301558 \tabularnewline
88 & 86 & 80.2850194925141 & 5.71498050748593 \tabularnewline
89 & 88 & 85.8448860899663 & 2.15511391003373 \tabularnewline
90 & 86 & 85.9316816622116 & 0.068318337788412 \tabularnewline
91 & 83 & 85.7311588666812 & -2.73115886668124 \tabularnewline
92 & 81 & 82.8966530067351 & -1.89665300673508 \tabularnewline
93 & 81 & 79.3964966441733 & 1.60350335582667 \tabularnewline
94 & 81 & 75.6991225765346 & 5.30087742346538 \tabularnewline
95 & 82 & 84.5596984497991 & -2.55969844979909 \tabularnewline
96 & 86 & 82.5075393990157 & 3.49246060098432 \tabularnewline
97 & 85 & 83.5553063749967 & 1.44469362500331 \tabularnewline
98 & 87 & 87.8089885900377 & -0.808988590037657 \tabularnewline
99 & 89 & 88.501266756115 & 0.498733243885027 \tabularnewline
100 & 90 & 87.2494968874874 & 2.75050311251256 \tabularnewline
101 & 90 & 90.2944232567848 & -0.294423256784796 \tabularnewline
102 & 92 & 88.4635706370407 & 3.53642936295925 \tabularnewline
103 & 86 & 89.1047710797122 & -3.10477107971217 \tabularnewline
104 & 86 & 86.2752326742259 & -0.275232674225919 \tabularnewline
105 & 82 & 84.5728653877551 & -2.57286538775514 \tabularnewline
106 & 80 & 79.7238584074163 & 0.276141592583656 \tabularnewline
107 & 79 & 83.6364813630005 & -4.63648136300048 \tabularnewline
108 & 77 & 82.332637895583 & -5.33263789558303 \tabularnewline
109 & 79 & 78.3723739156742 & 0.62762608432584 \tabularnewline
110 & 76 & 81.316991480479 & -5.31699148047899 \tabularnewline
111 & 78 & 79.9675877692197 & -1.96758776921966 \tabularnewline
112 & 78 & 78.219364428558 & -0.219364428558023 \tabularnewline
113 & 77 & 78.7297866044766 & -1.72978660447663 \tabularnewline
114 & 72 & 77.3727837656932 & -5.37278376569316 \tabularnewline
115 & 75 & 72.0334321388294 & 2.96656786117056 \tabularnewline
116 & 79 & 73.1786864588891 & 5.82131354111088 \tabularnewline
117 & 81 & 74.1007294847847 & 6.89927051521533 \tabularnewline
118 & 86 & 75.062343305959 & 10.937656694041 \tabularnewline
119 & 88 & 82.8552827260769 & 5.14471727392308 \tabularnewline
120 & 97 & 86.2953665328079 & 10.7046334671921 \tabularnewline
121 & 94 & 92.3734469211626 & 1.62655307883739 \tabularnewline
122 & 96 & 94.1215188201178 & 1.87848117988216 \tabularnewline
123 & 94 & 97.9999125592402 & -3.99991255924019 \tabularnewline
124 & 91 & 95.7297739373148 & -4.72977393731477 \tabularnewline
125 & 92 & 93.546386066011 & -1.54638606601104 \tabularnewline
126 & 93 & 90.8094484069264 & 2.19055159307358 \tabularnewline
127 & 93 & 91.8121855141492 & 1.18781448585079 \tabularnewline
128 & 87 & 92.990069475066 & -5.99006947506601 \tabularnewline
129 & 84 & 87.9090296803863 & -3.90902968038627 \tabularnewline
130 & 80 & 84.289289039946 & -4.28928903994597 \tabularnewline
131 & 78 & 82.5593209627758 & -4.55932096277581 \tabularnewline
132 & 75 & 82.3963697708013 & -7.39636977080134 \tabularnewline
133 & 73 & 76.8968132897923 & -3.89681328979231 \tabularnewline
134 & 81 & 75.6997850465144 & 5.30021495348564 \tabularnewline
135 & 76 & 79.2766584270916 & -3.27665842709159 \tabularnewline
136 & 77 & 77.1852554915098 & -0.185255491509764 \tabularnewline
137 & 71 & 78.0570023807069 & -7.05700238070689 \tabularnewline
138 & 71 & 73.7972418651419 & -2.79724186514194 \tabularnewline
139 & 78 & 72.0353550727218 & 5.96464492727819 \tabularnewline
140 & 67 & 73.6856730833396 & -6.68567308333959 \tabularnewline
141 & 76 & 69.1282716950636 & 6.8717283049364 \tabularnewline
142 & 68 & 71.0545603628094 & -3.05456036280943 \tabularnewline
143 & 82 & 69.7681141266635 & 12.2318858733365 \tabularnewline
144 & 64 & 77.0844833197049 & -13.0844833197049 \tabularnewline
145 & 71 & 69.7870341362473 & 1.21296586375266 \tabularnewline
146 & 81 & 73.7493149609254 & 7.25068503907464 \tabularnewline
147 & 69 & 75.7388599291611 & -6.73885992916109 \tabularnewline
148 & 63 & 72.8001770128146 & -9.80017701281457 \tabularnewline
149 & 70 & 66.7506349160118 & 3.24936508398818 \tabularnewline
150 & 77 & 68.9443261898357 & 8.05567381016431 \tabularnewline
151 & 75 & 75.3106743313491 & -0.310674331349091 \tabularnewline
152 & 76 & 69.9619276538012 & 6.03807234619879 \tabularnewline
153 & 68 & 76.0649700505324 & -8.06497005053239 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311301&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]66[/C][C]67.2389179765938[/C][C]-1.23891797659384[/C][/ROW]
[ROW][C]14[/C][C]68[/C][C]68.2527425199986[/C][C]-0.252742519998606[/C][/ROW]
[ROW][C]15[/C][C]58[/C][C]57.9720339785524[/C][C]0.0279660214475825[/C][/ROW]
[ROW][C]16[/C][C]64[/C][C]63.795732115582[/C][C]0.20426788441803[/C][/ROW]
[ROW][C]17[/C][C]66[/C][C]66.1661262284274[/C][C]-0.166126228427359[/C][/ROW]
[ROW][C]18[/C][C]57[/C][C]57.7548264944109[/C][C]-0.754826494410914[/C][/ROW]
[ROW][C]19[/C][C]68[/C][C]63.1330139536261[/C][C]4.86698604637386[/C][/ROW]
[ROW][C]20[/C][C]62[/C][C]59.6309097595421[/C][C]2.36909024045787[/C][/ROW]
[ROW][C]21[/C][C]59[/C][C]63.5944944682933[/C][C]-4.59449446829334[/C][/ROW]
[ROW][C]22[/C][C]73[/C][C]69.8154147841645[/C][C]3.18458521583551[/C][/ROW]
[ROW][C]23[/C][C]61[/C][C]75.8889289454327[/C][C]-14.8889289454327[/C][/ROW]
[ROW][C]24[/C][C]61[/C][C]63.5808287567839[/C][C]-2.58082875678387[/C][/ROW]
[ROW][C]25[/C][C]57[/C][C]59.3489698748122[/C][C]-2.34896987481224[/C][/ROW]
[ROW][C]26[/C][C]58[/C][C]59.8501483184963[/C][C]-1.85014831849634[/C][/ROW]
[ROW][C]27[/C][C]57[/C][C]50.1848146097889[/C][C]6.81518539021107[/C][/ROW]
[ROW][C]28[/C][C]67[/C][C]59.0468144378943[/C][C]7.9531855621057[/C][/ROW]
[ROW][C]29[/C][C]81[/C][C]65.1935430285262[/C][C]15.8064569714738[/C][/ROW]
[ROW][C]30[/C][C]79[/C][C]63.7711309578603[/C][C]15.2288690421397[/C][/ROW]
[ROW][C]31[/C][C]76[/C][C]80.7745805556953[/C][C]-4.77458055569528[/C][/ROW]
[ROW][C]32[/C][C]78[/C][C]70.5046751848618[/C][C]7.49532481513823[/C][/ROW]
[ROW][C]33[/C][C]74[/C][C]75.03816745881[/C][C]-1.03816745880998[/C][/ROW]
[ROW][C]34[/C][C]67[/C][C]88.0897478063629[/C][C]-21.0897478063629[/C][/ROW]
[ROW][C]35[/C][C]84[/C][C]75.7964154725171[/C][C]8.20358452748295[/C][/ROW]
[ROW][C]36[/C][C]85[/C][C]78.6564536839121[/C][C]6.34354631608788[/C][/ROW]
[ROW][C]37[/C][C]79[/C][C]78.0807212100013[/C][C]0.919278789998728[/C][/ROW]
[ROW][C]38[/C][C]82[/C][C]81.0923706818125[/C][C]0.907629318187517[/C][/ROW]
[ROW][C]39[/C][C]87[/C][C]72.8842183589873[/C][C]14.1157816410127[/C][/ROW]
[ROW][C]40[/C][C]90[/C][C]88.1277025949084[/C][C]1.87229740509156[/C][/ROW]
[ROW][C]41[/C][C]87[/C][C]94.5362009609565[/C][C]-7.53620096095655[/C][/ROW]
[ROW][C]42[/C][C]93[/C][C]78.9990239672235[/C][C]14.0009760327765[/C][/ROW]
[ROW][C]43[/C][C]92[/C][C]89.6918969853441[/C][C]2.3081030146559[/C][/ROW]
[ROW][C]44[/C][C]82[/C][C]85.8645734379066[/C][C]-3.8645734379066[/C][/ROW]
[ROW][C]45[/C][C]80[/C][C]81.8886566908577[/C][C]-1.8886566908577[/C][/ROW]
[ROW][C]46[/C][C]79[/C][C]88.1462219908835[/C][C]-9.14622199088346[/C][/ROW]
[ROW][C]47[/C][C]77[/C][C]91.9425284422926[/C][C]-14.9425284422926[/C][/ROW]
[ROW][C]48[/C][C]72[/C][C]82.4089048579976[/C][C]-10.4089048579976[/C][/ROW]
[ROW][C]49[/C][C]65[/C][C]72.1309553167814[/C][C]-7.13095531678141[/C][/ROW]
[ROW][C]50[/C][C]73[/C][C]70.7176701219875[/C][C]2.2823298780125[/C][/ROW]
[ROW][C]51[/C][C]76[/C][C]67.4340974259656[/C][C]8.5659025740344[/C][/ROW]
[ROW][C]52[/C][C]77[/C][C]75.4769942621307[/C][C]1.52300573786933[/C][/ROW]
[ROW][C]53[/C][C]76[/C][C]78.3629995362129[/C][C]-2.36299953621294[/C][/ROW]
[ROW][C]54[/C][C]76[/C][C]72.325754608886[/C][C]3.67424539111398[/C][/ROW]
[ROW][C]55[/C][C]76[/C][C]74.2053817836267[/C][C]1.79461821637331[/C][/ROW]
[ROW][C]56[/C][C]75[/C][C]69.4370271459748[/C][C]5.56297285402519[/C][/ROW]
[ROW][C]57[/C][C]78[/C][C]70.9925387331572[/C][C]7.00746126684277[/C][/ROW]
[ROW][C]58[/C][C]73[/C][C]79.0333963234137[/C][C]-6.03339632341368[/C][/ROW]
[ROW][C]59[/C][C]80[/C][C]81.8619524077274[/C][C]-1.86195240772744[/C][/ROW]
[ROW][C]60[/C][C]77[/C][C]80.0979717167554[/C][C]-3.09797171675537[/C][/ROW]
[ROW][C]61[/C][C]83[/C][C]74.1529908450746[/C][C]8.84700915492542[/C][/ROW]
[ROW][C]62[/C][C]84[/C][C]84.6251215250304[/C][C]-0.625121525030352[/C][/ROW]
[ROW][C]63[/C][C]85[/C][C]81.2049982503102[/C][C]3.79500174968983[/C][/ROW]
[ROW][C]64[/C][C]81[/C][C]84.8878921135592[/C][C]-3.88789211355918[/C][/ROW]
[ROW][C]65[/C][C]84[/C][C]83.929001675729[/C][C]0.0709983242709598[/C][/ROW]
[ROW][C]66[/C][C]83[/C][C]80.6412831540019[/C][C]2.35871684599815[/C][/ROW]
[ROW][C]67[/C][C]83[/C][C]81.2390254220132[/C][C]1.76097457798677[/C][/ROW]
[ROW][C]68[/C][C]88[/C][C]77.1479223674637[/C][C]10.8520776325363[/C][/ROW]
[ROW][C]69[/C][C]92[/C][C]81.6204415280249[/C][C]10.3795584719751[/C][/ROW]
[ROW][C]70[/C][C]92[/C][C]87.4078617237811[/C][C]4.59213827621886[/C][/ROW]
[ROW][C]71[/C][C]89[/C][C]98.3970977767093[/C][C]-9.39709777670926[/C][/ROW]
[ROW][C]72[/C][C]82[/C][C]92.243856556926[/C][C]-10.243856556926[/C][/ROW]
[ROW][C]73[/C][C]73[/C][C]86.0618209137261[/C][C]-13.0618209137261[/C][/ROW]
[ROW][C]74[/C][C]81[/C][C]82.4978113431156[/C][C]-1.49781134311557[/C][/ROW]
[ROW][C]75[/C][C]91[/C][C]79.9994607279113[/C][C]11.0005392720887[/C][/ROW]
[ROW][C]76[/C][C]80[/C][C]84.958908755379[/C][C]-4.95890875537904[/C][/ROW]
[ROW][C]77[/C][C]81[/C][C]84.6807684395279[/C][C]-3.6807684395279[/C][/ROW]
[ROW][C]78[/C][C]82[/C][C]80.2144615805183[/C][C]1.78553841948165[/C][/ROW]
[ROW][C]79[/C][C]84[/C][C]80.3465433993808[/C][C]3.65345660061922[/C][/ROW]
[ROW][C]80[/C][C]87[/C][C]79.7684101385132[/C][C]7.2315898614868[/C][/ROW]
[ROW][C]81[/C][C]85[/C][C]82.1114856012783[/C][C]2.8885143987217[/C][/ROW]
[ROW][C]82[/C][C]74[/C][C]82.3977034179631[/C][C]-8.3977034179631[/C][/ROW]
[ROW][C]83[/C][C]81[/C][C]81.797201665542[/C][C]-0.797201665542019[/C][/ROW]
[ROW][C]84[/C][C]82[/C][C]79.7320134428357[/C][C]2.26798655716431[/C][/ROW]
[ROW][C]85[/C][C]86[/C][C]78.7703845655648[/C][C]7.22961543443519[/C][/ROW]
[ROW][C]86[/C][C]85[/C][C]89.5936325680611[/C][C]-4.5936325680611[/C][/ROW]
[ROW][C]87[/C][C]82[/C][C]89.2516734130156[/C][C]-7.25167341301558[/C][/ROW]
[ROW][C]88[/C][C]86[/C][C]80.2850194925141[/C][C]5.71498050748593[/C][/ROW]
[ROW][C]89[/C][C]88[/C][C]85.8448860899663[/C][C]2.15511391003373[/C][/ROW]
[ROW][C]90[/C][C]86[/C][C]85.9316816622116[/C][C]0.068318337788412[/C][/ROW]
[ROW][C]91[/C][C]83[/C][C]85.7311588666812[/C][C]-2.73115886668124[/C][/ROW]
[ROW][C]92[/C][C]81[/C][C]82.8966530067351[/C][C]-1.89665300673508[/C][/ROW]
[ROW][C]93[/C][C]81[/C][C]79.3964966441733[/C][C]1.60350335582667[/C][/ROW]
[ROW][C]94[/C][C]81[/C][C]75.6991225765346[/C][C]5.30087742346538[/C][/ROW]
[ROW][C]95[/C][C]82[/C][C]84.5596984497991[/C][C]-2.55969844979909[/C][/ROW]
[ROW][C]96[/C][C]86[/C][C]82.5075393990157[/C][C]3.49246060098432[/C][/ROW]
[ROW][C]97[/C][C]85[/C][C]83.5553063749967[/C][C]1.44469362500331[/C][/ROW]
[ROW][C]98[/C][C]87[/C][C]87.8089885900377[/C][C]-0.808988590037657[/C][/ROW]
[ROW][C]99[/C][C]89[/C][C]88.501266756115[/C][C]0.498733243885027[/C][/ROW]
[ROW][C]100[/C][C]90[/C][C]87.2494968874874[/C][C]2.75050311251256[/C][/ROW]
[ROW][C]101[/C][C]90[/C][C]90.2944232567848[/C][C]-0.294423256784796[/C][/ROW]
[ROW][C]102[/C][C]92[/C][C]88.4635706370407[/C][C]3.53642936295925[/C][/ROW]
[ROW][C]103[/C][C]86[/C][C]89.1047710797122[/C][C]-3.10477107971217[/C][/ROW]
[ROW][C]104[/C][C]86[/C][C]86.2752326742259[/C][C]-0.275232674225919[/C][/ROW]
[ROW][C]105[/C][C]82[/C][C]84.5728653877551[/C][C]-2.57286538775514[/C][/ROW]
[ROW][C]106[/C][C]80[/C][C]79.7238584074163[/C][C]0.276141592583656[/C][/ROW]
[ROW][C]107[/C][C]79[/C][C]83.6364813630005[/C][C]-4.63648136300048[/C][/ROW]
[ROW][C]108[/C][C]77[/C][C]82.332637895583[/C][C]-5.33263789558303[/C][/ROW]
[ROW][C]109[/C][C]79[/C][C]78.3723739156742[/C][C]0.62762608432584[/C][/ROW]
[ROW][C]110[/C][C]76[/C][C]81.316991480479[/C][C]-5.31699148047899[/C][/ROW]
[ROW][C]111[/C][C]78[/C][C]79.9675877692197[/C][C]-1.96758776921966[/C][/ROW]
[ROW][C]112[/C][C]78[/C][C]78.219364428558[/C][C]-0.219364428558023[/C][/ROW]
[ROW][C]113[/C][C]77[/C][C]78.7297866044766[/C][C]-1.72978660447663[/C][/ROW]
[ROW][C]114[/C][C]72[/C][C]77.3727837656932[/C][C]-5.37278376569316[/C][/ROW]
[ROW][C]115[/C][C]75[/C][C]72.0334321388294[/C][C]2.96656786117056[/C][/ROW]
[ROW][C]116[/C][C]79[/C][C]73.1786864588891[/C][C]5.82131354111088[/C][/ROW]
[ROW][C]117[/C][C]81[/C][C]74.1007294847847[/C][C]6.89927051521533[/C][/ROW]
[ROW][C]118[/C][C]86[/C][C]75.062343305959[/C][C]10.937656694041[/C][/ROW]
[ROW][C]119[/C][C]88[/C][C]82.8552827260769[/C][C]5.14471727392308[/C][/ROW]
[ROW][C]120[/C][C]97[/C][C]86.2953665328079[/C][C]10.7046334671921[/C][/ROW]
[ROW][C]121[/C][C]94[/C][C]92.3734469211626[/C][C]1.62655307883739[/C][/ROW]
[ROW][C]122[/C][C]96[/C][C]94.1215188201178[/C][C]1.87848117988216[/C][/ROW]
[ROW][C]123[/C][C]94[/C][C]97.9999125592402[/C][C]-3.99991255924019[/C][/ROW]
[ROW][C]124[/C][C]91[/C][C]95.7297739373148[/C][C]-4.72977393731477[/C][/ROW]
[ROW][C]125[/C][C]92[/C][C]93.546386066011[/C][C]-1.54638606601104[/C][/ROW]
[ROW][C]126[/C][C]93[/C][C]90.8094484069264[/C][C]2.19055159307358[/C][/ROW]
[ROW][C]127[/C][C]93[/C][C]91.8121855141492[/C][C]1.18781448585079[/C][/ROW]
[ROW][C]128[/C][C]87[/C][C]92.990069475066[/C][C]-5.99006947506601[/C][/ROW]
[ROW][C]129[/C][C]84[/C][C]87.9090296803863[/C][C]-3.90902968038627[/C][/ROW]
[ROW][C]130[/C][C]80[/C][C]84.289289039946[/C][C]-4.28928903994597[/C][/ROW]
[ROW][C]131[/C][C]78[/C][C]82.5593209627758[/C][C]-4.55932096277581[/C][/ROW]
[ROW][C]132[/C][C]75[/C][C]82.3963697708013[/C][C]-7.39636977080134[/C][/ROW]
[ROW][C]133[/C][C]73[/C][C]76.8968132897923[/C][C]-3.89681328979231[/C][/ROW]
[ROW][C]134[/C][C]81[/C][C]75.6997850465144[/C][C]5.30021495348564[/C][/ROW]
[ROW][C]135[/C][C]76[/C][C]79.2766584270916[/C][C]-3.27665842709159[/C][/ROW]
[ROW][C]136[/C][C]77[/C][C]77.1852554915098[/C][C]-0.185255491509764[/C][/ROW]
[ROW][C]137[/C][C]71[/C][C]78.0570023807069[/C][C]-7.05700238070689[/C][/ROW]
[ROW][C]138[/C][C]71[/C][C]73.7972418651419[/C][C]-2.79724186514194[/C][/ROW]
[ROW][C]139[/C][C]78[/C][C]72.0353550727218[/C][C]5.96464492727819[/C][/ROW]
[ROW][C]140[/C][C]67[/C][C]73.6856730833396[/C][C]-6.68567308333959[/C][/ROW]
[ROW][C]141[/C][C]76[/C][C]69.1282716950636[/C][C]6.8717283049364[/C][/ROW]
[ROW][C]142[/C][C]68[/C][C]71.0545603628094[/C][C]-3.05456036280943[/C][/ROW]
[ROW][C]143[/C][C]82[/C][C]69.7681141266635[/C][C]12.2318858733365[/C][/ROW]
[ROW][C]144[/C][C]64[/C][C]77.0844833197049[/C][C]-13.0844833197049[/C][/ROW]
[ROW][C]145[/C][C]71[/C][C]69.7870341362473[/C][C]1.21296586375266[/C][/ROW]
[ROW][C]146[/C][C]81[/C][C]73.7493149609254[/C][C]7.25068503907464[/C][/ROW]
[ROW][C]147[/C][C]69[/C][C]75.7388599291611[/C][C]-6.73885992916109[/C][/ROW]
[ROW][C]148[/C][C]63[/C][C]72.8001770128146[/C][C]-9.80017701281457[/C][/ROW]
[ROW][C]149[/C][C]70[/C][C]66.7506349160118[/C][C]3.24936508398818[/C][/ROW]
[ROW][C]150[/C][C]77[/C][C]68.9443261898357[/C][C]8.05567381016431[/C][/ROW]
[ROW][C]151[/C][C]75[/C][C]75.3106743313491[/C][C]-0.310674331349091[/C][/ROW]
[ROW][C]152[/C][C]76[/C][C]69.9619276538012[/C][C]6.03807234619879[/C][/ROW]
[ROW][C]153[/C][C]68[/C][C]76.0649700505324[/C][C]-8.06497005053239[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311301&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311301&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
136667.2389179765938-1.23891797659384
146868.2527425199986-0.252742519998606
155857.97203397855240.0279660214475825
166463.7957321155820.20426788441803
176666.1661262284274-0.166126228427359
185757.7548264944109-0.754826494410914
196863.13301395362614.86698604637386
206259.63090975954212.36909024045787
215963.5944944682933-4.59449446829334
227369.81541478416453.18458521583551
236175.8889289454327-14.8889289454327
246163.5808287567839-2.58082875678387
255759.3489698748122-2.34896987481224
265859.8501483184963-1.85014831849634
275750.18481460978896.81518539021107
286759.04681443789437.9531855621057
298165.193543028526215.8064569714738
307963.771130957860315.2288690421397
317680.7745805556953-4.77458055569528
327870.50467518486187.49532481513823
337475.03816745881-1.03816745880998
346788.0897478063629-21.0897478063629
358475.79641547251718.20358452748295
368578.65645368391216.34354631608788
377978.08072121000130.919278789998728
388281.09237068181250.907629318187517
398772.884218358987314.1157816410127
409088.12770259490841.87229740509156
418794.5362009609565-7.53620096095655
429378.999023967223514.0009760327765
439289.69189698534412.3081030146559
448285.8645734379066-3.8645734379066
458081.8886566908577-1.8886566908577
467988.1462219908835-9.14622199088346
477791.9425284422926-14.9425284422926
487282.4089048579976-10.4089048579976
496572.1309553167814-7.13095531678141
507370.71767012198752.2823298780125
517667.43409742596568.5659025740344
527775.47699426213071.52300573786933
537678.3629995362129-2.36299953621294
547672.3257546088863.67424539111398
557674.20538178362671.79461821637331
567569.43702714597485.56297285402519
577870.99253873315727.00746126684277
587379.0333963234137-6.03339632341368
598081.8619524077274-1.86195240772744
607780.0979717167554-3.09797171675537
618374.15299084507468.84700915492542
628484.6251215250304-0.625121525030352
638581.20499825031023.79500174968983
648184.8878921135592-3.88789211355918
658483.9290016757290.0709983242709598
668380.64128315400192.35871684599815
678381.23902542201321.76097457798677
688877.147922367463710.8520776325363
699281.620441528024910.3795584719751
709287.40786172378114.59213827621886
718998.3970977767093-9.39709777670926
728292.243856556926-10.243856556926
737386.0618209137261-13.0618209137261
748182.4978113431156-1.49781134311557
759179.999460727911311.0005392720887
768084.958908755379-4.95890875537904
778184.6807684395279-3.6807684395279
788280.21446158051831.78553841948165
798480.34654339938083.65345660061922
808779.76841013851327.2315898614868
818582.11148560127832.8885143987217
827482.3977034179631-8.3977034179631
838181.797201665542-0.797201665542019
848279.73201344283572.26798655716431
858678.77038456556487.22961543443519
868589.5936325680611-4.5936325680611
878289.2516734130156-7.25167341301558
888680.28501949251415.71498050748593
898885.84488608996632.15511391003373
908685.93168166221160.068318337788412
918385.7311588666812-2.73115886668124
928182.8966530067351-1.89665300673508
938179.39649664417331.60350335582667
948175.69912257653465.30087742346538
958284.5596984497991-2.55969844979909
968682.50753939901573.49246060098432
978583.55530637499671.44469362500331
988787.8089885900377-0.808988590037657
998988.5012667561150.498733243885027
1009087.24949688748742.75050311251256
1019090.2944232567848-0.294423256784796
1029288.46357063704073.53642936295925
1038689.1047710797122-3.10477107971217
1048686.2752326742259-0.275232674225919
1058284.5728653877551-2.57286538775514
1068079.72385840741630.276141592583656
1077983.6364813630005-4.63648136300048
1087782.332637895583-5.33263789558303
1097978.37237391567420.62762608432584
1107681.316991480479-5.31699148047899
1117879.9675877692197-1.96758776921966
1127878.219364428558-0.219364428558023
1137778.7297866044766-1.72978660447663
1147277.3727837656932-5.37278376569316
1157572.03343213882942.96656786117056
1167973.17868645888915.82131354111088
1178174.10072948478476.89927051521533
1188675.06234330595910.937656694041
1198882.85528272607695.14471727392308
1209786.295366532807910.7046334671921
1219492.37344692116261.62655307883739
1229694.12151882011781.87848117988216
1239497.9999125592402-3.99991255924019
1249195.7297739373148-4.72977393731477
1259293.546386066011-1.54638606601104
1269390.80944840692642.19055159307358
1279391.81218551414921.18781448585079
1288792.990069475066-5.99006947506601
1298487.9090296803863-3.90902968038627
1308084.289289039946-4.28928903994597
1317882.5593209627758-4.55932096277581
1327582.3963697708013-7.39636977080134
1337376.8968132897923-3.89681328979231
1348175.69978504651445.30021495348564
1357679.2766584270916-3.27665842709159
1367777.1852554915098-0.185255491509764
1377178.0570023807069-7.05700238070689
1387173.7972418651419-2.79724186514194
1397872.03535507272185.96464492727819
1406773.6856730833396-6.68567308333959
1417669.12827169506366.8717283049364
1426871.0545603628094-3.05456036280943
1438269.768114126663512.2318858733365
1446477.0844833197049-13.0844833197049
1457169.78703413624731.21296586375266
1468173.74931496092547.25068503907464
1476975.7388599291611-6.73885992916109
1486372.8001770128146-9.80017701281457
1497066.75063491601183.24936508398818
1507768.94432618983578.05567381016431
1517575.3106743313491-0.310674331349091
1527669.96192765380126.03807234619879
1536876.0649700505324-8.06497005053239







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
15467.561210790094357.514682752143777.6077388280447
15572.090342361024760.009671047735884.1710136743136
15665.805770395531552.710237672582178.901303118481
15769.428727512826854.471309815912984.3861452097407
15874.408442166390457.443361156960891.37352317582
15968.771455225479151.600654710331285.942255740627
16068.107111295174949.92822275093986.2859998394109
16171.103494408972151.229382770608290.9776060473359
16273.025776666379851.724111003378694.327442329381
16372.779621801294250.604232490629394.955011111959
16469.537759055836647.291129965270691.7843881464026
16568.2535472200603-25.0929924281482161.600086868269

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
154 & 67.5612107900943 & 57.5146827521437 & 77.6077388280447 \tabularnewline
155 & 72.0903423610247 & 60.0096710477358 & 84.1710136743136 \tabularnewline
156 & 65.8057703955315 & 52.7102376725821 & 78.901303118481 \tabularnewline
157 & 69.4287275128268 & 54.4713098159129 & 84.3861452097407 \tabularnewline
158 & 74.4084421663904 & 57.4433611569608 & 91.37352317582 \tabularnewline
159 & 68.7714552254791 & 51.6006547103312 & 85.942255740627 \tabularnewline
160 & 68.1071112951749 & 49.928222750939 & 86.2859998394109 \tabularnewline
161 & 71.1034944089721 & 51.2293827706082 & 90.9776060473359 \tabularnewline
162 & 73.0257766663798 & 51.7241110033786 & 94.327442329381 \tabularnewline
163 & 72.7796218012942 & 50.6042324906293 & 94.955011111959 \tabularnewline
164 & 69.5377590558366 & 47.2911299652706 & 91.7843881464026 \tabularnewline
165 & 68.2535472200603 & -25.0929924281482 & 161.600086868269 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311301&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]154[/C][C]67.5612107900943[/C][C]57.5146827521437[/C][C]77.6077388280447[/C][/ROW]
[ROW][C]155[/C][C]72.0903423610247[/C][C]60.0096710477358[/C][C]84.1710136743136[/C][/ROW]
[ROW][C]156[/C][C]65.8057703955315[/C][C]52.7102376725821[/C][C]78.901303118481[/C][/ROW]
[ROW][C]157[/C][C]69.4287275128268[/C][C]54.4713098159129[/C][C]84.3861452097407[/C][/ROW]
[ROW][C]158[/C][C]74.4084421663904[/C][C]57.4433611569608[/C][C]91.37352317582[/C][/ROW]
[ROW][C]159[/C][C]68.7714552254791[/C][C]51.6006547103312[/C][C]85.942255740627[/C][/ROW]
[ROW][C]160[/C][C]68.1071112951749[/C][C]49.928222750939[/C][C]86.2859998394109[/C][/ROW]
[ROW][C]161[/C][C]71.1034944089721[/C][C]51.2293827706082[/C][C]90.9776060473359[/C][/ROW]
[ROW][C]162[/C][C]73.0257766663798[/C][C]51.7241110033786[/C][C]94.327442329381[/C][/ROW]
[ROW][C]163[/C][C]72.7796218012942[/C][C]50.6042324906293[/C][C]94.955011111959[/C][/ROW]
[ROW][C]164[/C][C]69.5377590558366[/C][C]47.2911299652706[/C][C]91.7843881464026[/C][/ROW]
[ROW][C]165[/C][C]68.2535472200603[/C][C]-25.0929924281482[/C][C]161.600086868269[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311301&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311301&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
15467.561210790094357.514682752143777.6077388280447
15572.090342361024760.009671047735884.1710136743136
15665.805770395531552.710237672582178.901303118481
15769.428727512826854.471309815912984.3861452097407
15874.408442166390457.443361156960891.37352317582
15968.771455225479151.600654710331285.942255740627
16068.107111295174949.92822275093986.2859998394109
16171.103494408972151.229382770608290.9776060473359
16273.025776666379851.724111003378694.327442329381
16372.779621801294250.604232490629394.955011111959
16469.537759055836647.291129965270691.7843881464026
16568.2535472200603-25.0929924281482161.600086868269



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '12'
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')