Free Statistics

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 computationTue, 28 Dec 2010 22:16:05 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/28/t1293574505hkgbdjvvziqpedq.htm/, Retrieved Sat, 04 May 2024 23:03:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116561, Retrieved Sat, 04 May 2024 23:03:57 +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] [] [2010-12-28 22:16:05] [0956ee981dded61b2e7128dae94e5715] [Current]
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Dataseries X:
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
20.1
21.64
20.95
19.46
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.39
19.94
20.69
20.69
21.64
20.86
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.7
20.67
20.67
20.67
20.67
23.42
30.02
42.03
32.52
29.13
28.57
28.88
27.49
23.75
23.09
23.24
23.52
22.99
23.75
23.05
21.66
20.84
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
20.67
24.44
34.94
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
35
39.26
41.51
36.41
41.25
58.6
97.81
159.74
161.49
125.32
148.31
193.55
307.5
612.56
459.64
375.91
424
360.66
317.66
368.24
447.95
438.31
382.58
384.93
363.29
344.97
360.91
385.42
385.5
389.09
332.39
295.24
279.91
280.1
272.22
311.33
364.8
410.52
446
606
699
768
950




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116561&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116561&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116561&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999949133676386
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999949133676386 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116561&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]0.999949133676386[/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=116561&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116561&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
alpha0.999949133676386
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
219.3919.390
319.3919.390
419.3919.390
519.3919.390
619.3919.390
719.3919.390
819.3919.390
919.3919.390
1019.3919.390
1119.3919.390
1219.3919.390
1319.3919.390
1419.3919.390
1519.3919.390
1619.3919.390
1719.3919.390
1819.3919.390
1919.3919.390
2019.3919.390
2119.3919.390
2219.3919.390
2319.3919.390
2420.119.390.710000000000001
2521.6420.09996388491021.54003611508977
2620.9521.6399216640246-0.689921664024595
2719.4620.9500350937786-1.49003509377863
2819.3919.4600757926073-0.0700757926072768
2919.3919.3900035644979-3.56449794480795e-06
3019.3919.3900000001813-1.81312742597584e-10
3119.3919.39-1.06581410364015e-14
3219.3919.390
3319.3919.390
3419.3919.390
3519.3919.390
3619.3919.390
3719.3919.390
3819.3919.390
3919.3919.390
4019.3919.390
4119.3919.390
4219.3919.390
4319.3919.390
4419.9419.390.550000000000001
4520.6919.9399720235220.750027976477988
4620.6920.68996184883423.81511657714384e-05
4721.6420.68999999805940.950000001940609
4820.8621.6399516769925-0.779951676992468
4920.6720.8600396732744-0.190039673274402
5020.6720.6700096666195-9.66661951906644e-06
5120.6720.6700000004917-4.91706231287026e-10
5220.6720.67-2.48689957516035e-14
5320.6720.670
5420.6720.670
5520.6720.670
5620.6720.670
5720.6720.670
5820.6720.670
5920.6720.670
6020.6720.670
6120.6720.670
6220.6720.670
6320.6720.670
6420.6720.670
6520.6720.670
6620.6720.670
6720.720.670.0299999999999976
6820.6720.6999984740103-0.0299984740102879
6920.6720.6700015259121-1.52591208646413e-06
7020.6720.6700000000776-7.76161357407545e-11
7120.6720.67-3.5527136788005e-15
7223.4220.672.75
7330.0223.41986011761016.60013988238994
7442.0330.019664275148812.0103357248512
7532.5242.0293890783763-9.5093890783763
7629.1332.5204837076622-3.39048370766224
7728.5729.1301724614415-0.560172461441482
7828.8828.57002849391370.309971506086296
7927.4928.8799842328891-1.38998423288906
8023.7527.4900707033878-3.74007070338781
8123.0923.7501902436467-0.660190243646738
8223.2423.09003358145060.149966418549418
8323.5223.23999237175960.28000762824038
8422.9923.5199857570414-0.52998575704137
8523.7522.9900269584270.759973041572973
8623.0523.7499613429653-0.699961342965327
8721.6623.0500356044602-1.39003560446019
8820.8421.6600707060009-0.820070706000891
8920.6720.8400417139819-0.170041713981917
9020.6720.6700086493969-8.64939685030208e-06
9120.6720.67000000044-4.39964509268975e-10
9220.6720.67-2.1316282072803e-14
9320.6720.670
9420.6720.670
9520.6720.670
9620.6720.670
9720.6720.670
9820.6720.670
9920.6720.670
10020.6720.670
10120.6720.670
10220.6720.670
10320.6720.670
10420.6720.670
10520.6720.670
10620.6720.670
10720.6720.670
10820.6720.670
10920.6720.670
11020.6720.670
11120.6720.670
11220.6720.670
11320.6720.670
11420.6720.670
11520.6720.670
11620.6720.670
11720.6720.670
11820.6720.670
11920.6720.670
12020.6720.670
12120.6720.670
12220.6720.670
12320.6720.670
12420.6720.670
12520.6720.670
12620.6720.670
12720.6720.670
12820.6720.670
12920.6720.670
13020.6720.670
13120.6720.670
13220.6720.670
13320.6720.670
13420.6720.670
13520.6720.670
13620.6720.670
13720.6720.670
13820.6720.670
13920.6720.670
14020.6720.670
14120.6720.670
14220.6720.670
14324.4420.673.77
14434.9424.4398082339610.50019176604
1453534.93946589384760.0605341061523816
1463534.99999692085263.07914743302717e-06
1473534.99999999984341.56624935243599e-10
14835357.105427357601e-15
14935350
15035350
15135350
15235350
15335350
15435350
15535350
15635350
15735350
15835350
15935350
16035350
16135350
16235350
16335350
16435350
16535350
16635350
16735350
16835350
16935350
17035350
17135350
17235350
17335350
17435350
17535350
17635350
17735350
17839.26354.26
17941.5139.25978330946142.25021669053859
18036.4141.5098855397496-5.09988553974962
18141.2536.41025941242834.83974058757175
18258.641.249753820189117.3502461798109
18397.8158.59911745676339.210882543237
184159.7497.808005486559461.9319945134406
185161.49159.7368497471251.75315025287497
186125.32161.489910823692-36.1699108236919
187148.31125.32183983038922.988160169611
188193.55148.30883067680645.2411693231945
189307.5193.547698748041113.952301251959
190612.56307.494203665368305.065796334632
191459.64612.54448242448-152.90448242448
192375.91459.647777688885-83.737777688885
193424375.91425943289948.0857405671013
194360.66423.997554055159-63.337554055159
195317.66360.663221748521-43.0032217485215
196368.24317.66218741579450.5778125842061
197447.95368.23742729261779.7125727073825
198438.31447.945945314481-9.63594531448058
199382.58438.310490145113-55.7304901451127
200384.93382.5828348051472.34716519485312
201363.29384.929880608336-21.6398806083356
202344.97363.29110074117-18.32110074117
203360.91344.97093192703915.9390680729607
204385.42360.90918923820524.5108107617947
205385.5385.4187532251680.0812467748322092
206389.09385.4999958672753.59000413272474
207332.39389.089817389688-56.699817389688
208295.24332.39288411126-37.1528841112602
209279.91295.241889830626-15.3318898306264
210280.1279.910779876870.189220123130269
211272.22280.099990375068-7.87999037506796
212311.33272.22040082614139.1095991738595
213364.8311.32801063847253.471989361528
214410.52364.79728007648545.7227199235151
215446410.51767425333235.4823257466682
216606445.998195144536160.001804855464
217699605.99186129641593.0081387035846
218768698.99526901791869.004730982082
219950767.996489983023182.003510016977

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 19.39 & 19.39 & 0 \tabularnewline
3 & 19.39 & 19.39 & 0 \tabularnewline
4 & 19.39 & 19.39 & 0 \tabularnewline
5 & 19.39 & 19.39 & 0 \tabularnewline
6 & 19.39 & 19.39 & 0 \tabularnewline
7 & 19.39 & 19.39 & 0 \tabularnewline
8 & 19.39 & 19.39 & 0 \tabularnewline
9 & 19.39 & 19.39 & 0 \tabularnewline
10 & 19.39 & 19.39 & 0 \tabularnewline
11 & 19.39 & 19.39 & 0 \tabularnewline
12 & 19.39 & 19.39 & 0 \tabularnewline
13 & 19.39 & 19.39 & 0 \tabularnewline
14 & 19.39 & 19.39 & 0 \tabularnewline
15 & 19.39 & 19.39 & 0 \tabularnewline
16 & 19.39 & 19.39 & 0 \tabularnewline
17 & 19.39 & 19.39 & 0 \tabularnewline
18 & 19.39 & 19.39 & 0 \tabularnewline
19 & 19.39 & 19.39 & 0 \tabularnewline
20 & 19.39 & 19.39 & 0 \tabularnewline
21 & 19.39 & 19.39 & 0 \tabularnewline
22 & 19.39 & 19.39 & 0 \tabularnewline
23 & 19.39 & 19.39 & 0 \tabularnewline
24 & 20.1 & 19.39 & 0.710000000000001 \tabularnewline
25 & 21.64 & 20.0999638849102 & 1.54003611508977 \tabularnewline
26 & 20.95 & 21.6399216640246 & -0.689921664024595 \tabularnewline
27 & 19.46 & 20.9500350937786 & -1.49003509377863 \tabularnewline
28 & 19.39 & 19.4600757926073 & -0.0700757926072768 \tabularnewline
29 & 19.39 & 19.3900035644979 & -3.56449794480795e-06 \tabularnewline
30 & 19.39 & 19.3900000001813 & -1.81312742597584e-10 \tabularnewline
31 & 19.39 & 19.39 & -1.06581410364015e-14 \tabularnewline
32 & 19.39 & 19.39 & 0 \tabularnewline
33 & 19.39 & 19.39 & 0 \tabularnewline
34 & 19.39 & 19.39 & 0 \tabularnewline
35 & 19.39 & 19.39 & 0 \tabularnewline
36 & 19.39 & 19.39 & 0 \tabularnewline
37 & 19.39 & 19.39 & 0 \tabularnewline
38 & 19.39 & 19.39 & 0 \tabularnewline
39 & 19.39 & 19.39 & 0 \tabularnewline
40 & 19.39 & 19.39 & 0 \tabularnewline
41 & 19.39 & 19.39 & 0 \tabularnewline
42 & 19.39 & 19.39 & 0 \tabularnewline
43 & 19.39 & 19.39 & 0 \tabularnewline
44 & 19.94 & 19.39 & 0.550000000000001 \tabularnewline
45 & 20.69 & 19.939972023522 & 0.750027976477988 \tabularnewline
46 & 20.69 & 20.6899618488342 & 3.81511657714384e-05 \tabularnewline
47 & 21.64 & 20.6899999980594 & 0.950000001940609 \tabularnewline
48 & 20.86 & 21.6399516769925 & -0.779951676992468 \tabularnewline
49 & 20.67 & 20.8600396732744 & -0.190039673274402 \tabularnewline
50 & 20.67 & 20.6700096666195 & -9.66661951906644e-06 \tabularnewline
51 & 20.67 & 20.6700000004917 & -4.91706231287026e-10 \tabularnewline
52 & 20.67 & 20.67 & -2.48689957516035e-14 \tabularnewline
53 & 20.67 & 20.67 & 0 \tabularnewline
54 & 20.67 & 20.67 & 0 \tabularnewline
55 & 20.67 & 20.67 & 0 \tabularnewline
56 & 20.67 & 20.67 & 0 \tabularnewline
57 & 20.67 & 20.67 & 0 \tabularnewline
58 & 20.67 & 20.67 & 0 \tabularnewline
59 & 20.67 & 20.67 & 0 \tabularnewline
60 & 20.67 & 20.67 & 0 \tabularnewline
61 & 20.67 & 20.67 & 0 \tabularnewline
62 & 20.67 & 20.67 & 0 \tabularnewline
63 & 20.67 & 20.67 & 0 \tabularnewline
64 & 20.67 & 20.67 & 0 \tabularnewline
65 & 20.67 & 20.67 & 0 \tabularnewline
66 & 20.67 & 20.67 & 0 \tabularnewline
67 & 20.7 & 20.67 & 0.0299999999999976 \tabularnewline
68 & 20.67 & 20.6999984740103 & -0.0299984740102879 \tabularnewline
69 & 20.67 & 20.6700015259121 & -1.52591208646413e-06 \tabularnewline
70 & 20.67 & 20.6700000000776 & -7.76161357407545e-11 \tabularnewline
71 & 20.67 & 20.67 & -3.5527136788005e-15 \tabularnewline
72 & 23.42 & 20.67 & 2.75 \tabularnewline
73 & 30.02 & 23.4198601176101 & 6.60013988238994 \tabularnewline
74 & 42.03 & 30.0196642751488 & 12.0103357248512 \tabularnewline
75 & 32.52 & 42.0293890783763 & -9.5093890783763 \tabularnewline
76 & 29.13 & 32.5204837076622 & -3.39048370766224 \tabularnewline
77 & 28.57 & 29.1301724614415 & -0.560172461441482 \tabularnewline
78 & 28.88 & 28.5700284939137 & 0.309971506086296 \tabularnewline
79 & 27.49 & 28.8799842328891 & -1.38998423288906 \tabularnewline
80 & 23.75 & 27.4900707033878 & -3.74007070338781 \tabularnewline
81 & 23.09 & 23.7501902436467 & -0.660190243646738 \tabularnewline
82 & 23.24 & 23.0900335814506 & 0.149966418549418 \tabularnewline
83 & 23.52 & 23.2399923717596 & 0.28000762824038 \tabularnewline
84 & 22.99 & 23.5199857570414 & -0.52998575704137 \tabularnewline
85 & 23.75 & 22.990026958427 & 0.759973041572973 \tabularnewline
86 & 23.05 & 23.7499613429653 & -0.699961342965327 \tabularnewline
87 & 21.66 & 23.0500356044602 & -1.39003560446019 \tabularnewline
88 & 20.84 & 21.6600707060009 & -0.820070706000891 \tabularnewline
89 & 20.67 & 20.8400417139819 & -0.170041713981917 \tabularnewline
90 & 20.67 & 20.6700086493969 & -8.64939685030208e-06 \tabularnewline
91 & 20.67 & 20.67000000044 & -4.39964509268975e-10 \tabularnewline
92 & 20.67 & 20.67 & -2.1316282072803e-14 \tabularnewline
93 & 20.67 & 20.67 & 0 \tabularnewline
94 & 20.67 & 20.67 & 0 \tabularnewline
95 & 20.67 & 20.67 & 0 \tabularnewline
96 & 20.67 & 20.67 & 0 \tabularnewline
97 & 20.67 & 20.67 & 0 \tabularnewline
98 & 20.67 & 20.67 & 0 \tabularnewline
99 & 20.67 & 20.67 & 0 \tabularnewline
100 & 20.67 & 20.67 & 0 \tabularnewline
101 & 20.67 & 20.67 & 0 \tabularnewline
102 & 20.67 & 20.67 & 0 \tabularnewline
103 & 20.67 & 20.67 & 0 \tabularnewline
104 & 20.67 & 20.67 & 0 \tabularnewline
105 & 20.67 & 20.67 & 0 \tabularnewline
106 & 20.67 & 20.67 & 0 \tabularnewline
107 & 20.67 & 20.67 & 0 \tabularnewline
108 & 20.67 & 20.67 & 0 \tabularnewline
109 & 20.67 & 20.67 & 0 \tabularnewline
110 & 20.67 & 20.67 & 0 \tabularnewline
111 & 20.67 & 20.67 & 0 \tabularnewline
112 & 20.67 & 20.67 & 0 \tabularnewline
113 & 20.67 & 20.67 & 0 \tabularnewline
114 & 20.67 & 20.67 & 0 \tabularnewline
115 & 20.67 & 20.67 & 0 \tabularnewline
116 & 20.67 & 20.67 & 0 \tabularnewline
117 & 20.67 & 20.67 & 0 \tabularnewline
118 & 20.67 & 20.67 & 0 \tabularnewline
119 & 20.67 & 20.67 & 0 \tabularnewline
120 & 20.67 & 20.67 & 0 \tabularnewline
121 & 20.67 & 20.67 & 0 \tabularnewline
122 & 20.67 & 20.67 & 0 \tabularnewline
123 & 20.67 & 20.67 & 0 \tabularnewline
124 & 20.67 & 20.67 & 0 \tabularnewline
125 & 20.67 & 20.67 & 0 \tabularnewline
126 & 20.67 & 20.67 & 0 \tabularnewline
127 & 20.67 & 20.67 & 0 \tabularnewline
128 & 20.67 & 20.67 & 0 \tabularnewline
129 & 20.67 & 20.67 & 0 \tabularnewline
130 & 20.67 & 20.67 & 0 \tabularnewline
131 & 20.67 & 20.67 & 0 \tabularnewline
132 & 20.67 & 20.67 & 0 \tabularnewline
133 & 20.67 & 20.67 & 0 \tabularnewline
134 & 20.67 & 20.67 & 0 \tabularnewline
135 & 20.67 & 20.67 & 0 \tabularnewline
136 & 20.67 & 20.67 & 0 \tabularnewline
137 & 20.67 & 20.67 & 0 \tabularnewline
138 & 20.67 & 20.67 & 0 \tabularnewline
139 & 20.67 & 20.67 & 0 \tabularnewline
140 & 20.67 & 20.67 & 0 \tabularnewline
141 & 20.67 & 20.67 & 0 \tabularnewline
142 & 20.67 & 20.67 & 0 \tabularnewline
143 & 24.44 & 20.67 & 3.77 \tabularnewline
144 & 34.94 & 24.43980823396 & 10.50019176604 \tabularnewline
145 & 35 & 34.9394658938476 & 0.0605341061523816 \tabularnewline
146 & 35 & 34.9999969208526 & 3.07914743302717e-06 \tabularnewline
147 & 35 & 34.9999999998434 & 1.56624935243599e-10 \tabularnewline
148 & 35 & 35 & 7.105427357601e-15 \tabularnewline
149 & 35 & 35 & 0 \tabularnewline
150 & 35 & 35 & 0 \tabularnewline
151 & 35 & 35 & 0 \tabularnewline
152 & 35 & 35 & 0 \tabularnewline
153 & 35 & 35 & 0 \tabularnewline
154 & 35 & 35 & 0 \tabularnewline
155 & 35 & 35 & 0 \tabularnewline
156 & 35 & 35 & 0 \tabularnewline
157 & 35 & 35 & 0 \tabularnewline
158 & 35 & 35 & 0 \tabularnewline
159 & 35 & 35 & 0 \tabularnewline
160 & 35 & 35 & 0 \tabularnewline
161 & 35 & 35 & 0 \tabularnewline
162 & 35 & 35 & 0 \tabularnewline
163 & 35 & 35 & 0 \tabularnewline
164 & 35 & 35 & 0 \tabularnewline
165 & 35 & 35 & 0 \tabularnewline
166 & 35 & 35 & 0 \tabularnewline
167 & 35 & 35 & 0 \tabularnewline
168 & 35 & 35 & 0 \tabularnewline
169 & 35 & 35 & 0 \tabularnewline
170 & 35 & 35 & 0 \tabularnewline
171 & 35 & 35 & 0 \tabularnewline
172 & 35 & 35 & 0 \tabularnewline
173 & 35 & 35 & 0 \tabularnewline
174 & 35 & 35 & 0 \tabularnewline
175 & 35 & 35 & 0 \tabularnewline
176 & 35 & 35 & 0 \tabularnewline
177 & 35 & 35 & 0 \tabularnewline
178 & 39.26 & 35 & 4.26 \tabularnewline
179 & 41.51 & 39.2597833094614 & 2.25021669053859 \tabularnewline
180 & 36.41 & 41.5098855397496 & -5.09988553974962 \tabularnewline
181 & 41.25 & 36.4102594124283 & 4.83974058757175 \tabularnewline
182 & 58.6 & 41.2497538201891 & 17.3502461798109 \tabularnewline
183 & 97.81 & 58.599117456763 & 39.210882543237 \tabularnewline
184 & 159.74 & 97.8080054865594 & 61.9319945134406 \tabularnewline
185 & 161.49 & 159.736849747125 & 1.75315025287497 \tabularnewline
186 & 125.32 & 161.489910823692 & -36.1699108236919 \tabularnewline
187 & 148.31 & 125.321839830389 & 22.988160169611 \tabularnewline
188 & 193.55 & 148.308830676806 & 45.2411693231945 \tabularnewline
189 & 307.5 & 193.547698748041 & 113.952301251959 \tabularnewline
190 & 612.56 & 307.494203665368 & 305.065796334632 \tabularnewline
191 & 459.64 & 612.54448242448 & -152.90448242448 \tabularnewline
192 & 375.91 & 459.647777688885 & -83.737777688885 \tabularnewline
193 & 424 & 375.914259432899 & 48.0857405671013 \tabularnewline
194 & 360.66 & 423.997554055159 & -63.337554055159 \tabularnewline
195 & 317.66 & 360.663221748521 & -43.0032217485215 \tabularnewline
196 & 368.24 & 317.662187415794 & 50.5778125842061 \tabularnewline
197 & 447.95 & 368.237427292617 & 79.7125727073825 \tabularnewline
198 & 438.31 & 447.945945314481 & -9.63594531448058 \tabularnewline
199 & 382.58 & 438.310490145113 & -55.7304901451127 \tabularnewline
200 & 384.93 & 382.582834805147 & 2.34716519485312 \tabularnewline
201 & 363.29 & 384.929880608336 & -21.6398806083356 \tabularnewline
202 & 344.97 & 363.29110074117 & -18.32110074117 \tabularnewline
203 & 360.91 & 344.970931927039 & 15.9390680729607 \tabularnewline
204 & 385.42 & 360.909189238205 & 24.5108107617947 \tabularnewline
205 & 385.5 & 385.418753225168 & 0.0812467748322092 \tabularnewline
206 & 389.09 & 385.499995867275 & 3.59000413272474 \tabularnewline
207 & 332.39 & 389.089817389688 & -56.699817389688 \tabularnewline
208 & 295.24 & 332.39288411126 & -37.1528841112602 \tabularnewline
209 & 279.91 & 295.241889830626 & -15.3318898306264 \tabularnewline
210 & 280.1 & 279.91077987687 & 0.189220123130269 \tabularnewline
211 & 272.22 & 280.099990375068 & -7.87999037506796 \tabularnewline
212 & 311.33 & 272.220400826141 & 39.1095991738595 \tabularnewline
213 & 364.8 & 311.328010638472 & 53.471989361528 \tabularnewline
214 & 410.52 & 364.797280076485 & 45.7227199235151 \tabularnewline
215 & 446 & 410.517674253332 & 35.4823257466682 \tabularnewline
216 & 606 & 445.998195144536 & 160.001804855464 \tabularnewline
217 & 699 & 605.991861296415 & 93.0081387035846 \tabularnewline
218 & 768 & 698.995269017918 & 69.004730982082 \tabularnewline
219 & 950 & 767.996489983023 & 182.003510016977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116561&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]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]15[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]23[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]24[/C][C]20.1[/C][C]19.39[/C][C]0.710000000000001[/C][/ROW]
[ROW][C]25[/C][C]21.64[/C][C]20.0999638849102[/C][C]1.54003611508977[/C][/ROW]
[ROW][C]26[/C][C]20.95[/C][C]21.6399216640246[/C][C]-0.689921664024595[/C][/ROW]
[ROW][C]27[/C][C]19.46[/C][C]20.9500350937786[/C][C]-1.49003509377863[/C][/ROW]
[ROW][C]28[/C][C]19.39[/C][C]19.4600757926073[/C][C]-0.0700757926072768[/C][/ROW]
[ROW][C]29[/C][C]19.39[/C][C]19.3900035644979[/C][C]-3.56449794480795e-06[/C][/ROW]
[ROW][C]30[/C][C]19.39[/C][C]19.3900000001813[/C][C]-1.81312742597584e-10[/C][/ROW]
[ROW][C]31[/C][C]19.39[/C][C]19.39[/C][C]-1.06581410364015e-14[/C][/ROW]
[ROW][C]32[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]33[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]34[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]35[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]38[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]39[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]40[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]41[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]42[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]43[/C][C]19.39[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]44[/C][C]19.94[/C][C]19.39[/C][C]0.550000000000001[/C][/ROW]
[ROW][C]45[/C][C]20.69[/C][C]19.939972023522[/C][C]0.750027976477988[/C][/ROW]
[ROW][C]46[/C][C]20.69[/C][C]20.6899618488342[/C][C]3.81511657714384e-05[/C][/ROW]
[ROW][C]47[/C][C]21.64[/C][C]20.6899999980594[/C][C]0.950000001940609[/C][/ROW]
[ROW][C]48[/C][C]20.86[/C][C]21.6399516769925[/C][C]-0.779951676992468[/C][/ROW]
[ROW][C]49[/C][C]20.67[/C][C]20.8600396732744[/C][C]-0.190039673274402[/C][/ROW]
[ROW][C]50[/C][C]20.67[/C][C]20.6700096666195[/C][C]-9.66661951906644e-06[/C][/ROW]
[ROW][C]51[/C][C]20.67[/C][C]20.6700000004917[/C][C]-4.91706231287026e-10[/C][/ROW]
[ROW][C]52[/C][C]20.67[/C][C]20.67[/C][C]-2.48689957516035e-14[/C][/ROW]
[ROW][C]53[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]54[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]55[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]57[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]58[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]59[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]60[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]61[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]62[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]63[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]64[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]65[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]66[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]67[/C][C]20.7[/C][C]20.67[/C][C]0.0299999999999976[/C][/ROW]
[ROW][C]68[/C][C]20.67[/C][C]20.6999984740103[/C][C]-0.0299984740102879[/C][/ROW]
[ROW][C]69[/C][C]20.67[/C][C]20.6700015259121[/C][C]-1.52591208646413e-06[/C][/ROW]
[ROW][C]70[/C][C]20.67[/C][C]20.6700000000776[/C][C]-7.76161357407545e-11[/C][/ROW]
[ROW][C]71[/C][C]20.67[/C][C]20.67[/C][C]-3.5527136788005e-15[/C][/ROW]
[ROW][C]72[/C][C]23.42[/C][C]20.67[/C][C]2.75[/C][/ROW]
[ROW][C]73[/C][C]30.02[/C][C]23.4198601176101[/C][C]6.60013988238994[/C][/ROW]
[ROW][C]74[/C][C]42.03[/C][C]30.0196642751488[/C][C]12.0103357248512[/C][/ROW]
[ROW][C]75[/C][C]32.52[/C][C]42.0293890783763[/C][C]-9.5093890783763[/C][/ROW]
[ROW][C]76[/C][C]29.13[/C][C]32.5204837076622[/C][C]-3.39048370766224[/C][/ROW]
[ROW][C]77[/C][C]28.57[/C][C]29.1301724614415[/C][C]-0.560172461441482[/C][/ROW]
[ROW][C]78[/C][C]28.88[/C][C]28.5700284939137[/C][C]0.309971506086296[/C][/ROW]
[ROW][C]79[/C][C]27.49[/C][C]28.8799842328891[/C][C]-1.38998423288906[/C][/ROW]
[ROW][C]80[/C][C]23.75[/C][C]27.4900707033878[/C][C]-3.74007070338781[/C][/ROW]
[ROW][C]81[/C][C]23.09[/C][C]23.7501902436467[/C][C]-0.660190243646738[/C][/ROW]
[ROW][C]82[/C][C]23.24[/C][C]23.0900335814506[/C][C]0.149966418549418[/C][/ROW]
[ROW][C]83[/C][C]23.52[/C][C]23.2399923717596[/C][C]0.28000762824038[/C][/ROW]
[ROW][C]84[/C][C]22.99[/C][C]23.5199857570414[/C][C]-0.52998575704137[/C][/ROW]
[ROW][C]85[/C][C]23.75[/C][C]22.990026958427[/C][C]0.759973041572973[/C][/ROW]
[ROW][C]86[/C][C]23.05[/C][C]23.7499613429653[/C][C]-0.699961342965327[/C][/ROW]
[ROW][C]87[/C][C]21.66[/C][C]23.0500356044602[/C][C]-1.39003560446019[/C][/ROW]
[ROW][C]88[/C][C]20.84[/C][C]21.6600707060009[/C][C]-0.820070706000891[/C][/ROW]
[ROW][C]89[/C][C]20.67[/C][C]20.8400417139819[/C][C]-0.170041713981917[/C][/ROW]
[ROW][C]90[/C][C]20.67[/C][C]20.6700086493969[/C][C]-8.64939685030208e-06[/C][/ROW]
[ROW][C]91[/C][C]20.67[/C][C]20.67000000044[/C][C]-4.39964509268975e-10[/C][/ROW]
[ROW][C]92[/C][C]20.67[/C][C]20.67[/C][C]-2.1316282072803e-14[/C][/ROW]
[ROW][C]93[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]94[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]95[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]96[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]97[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]98[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]99[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]100[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]101[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]102[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]103[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]104[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]105[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]106[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]107[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]108[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]109[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]110[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]111[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]112[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]113[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]114[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]115[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]116[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]117[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]118[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]119[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]120[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]121[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]122[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]123[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]124[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]125[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]126[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]127[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]128[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]129[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]130[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]131[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]132[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]133[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]134[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]135[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]136[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]137[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]138[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]139[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]140[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]141[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]142[/C][C]20.67[/C][C]20.67[/C][C]0[/C][/ROW]
[ROW][C]143[/C][C]24.44[/C][C]20.67[/C][C]3.77[/C][/ROW]
[ROW][C]144[/C][C]34.94[/C][C]24.43980823396[/C][C]10.50019176604[/C][/ROW]
[ROW][C]145[/C][C]35[/C][C]34.9394658938476[/C][C]0.0605341061523816[/C][/ROW]
[ROW][C]146[/C][C]35[/C][C]34.9999969208526[/C][C]3.07914743302717e-06[/C][/ROW]
[ROW][C]147[/C][C]35[/C][C]34.9999999998434[/C][C]1.56624935243599e-10[/C][/ROW]
[ROW][C]148[/C][C]35[/C][C]35[/C][C]7.105427357601e-15[/C][/ROW]
[ROW][C]149[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]150[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]151[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]152[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]153[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]154[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]155[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]156[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]157[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]158[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]159[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]160[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]161[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]162[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]163[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]164[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]165[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]166[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]167[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]168[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]169[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]170[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]171[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]172[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]173[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]174[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]175[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]176[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]177[/C][C]35[/C][C]35[/C][C]0[/C][/ROW]
[ROW][C]178[/C][C]39.26[/C][C]35[/C][C]4.26[/C][/ROW]
[ROW][C]179[/C][C]41.51[/C][C]39.2597833094614[/C][C]2.25021669053859[/C][/ROW]
[ROW][C]180[/C][C]36.41[/C][C]41.5098855397496[/C][C]-5.09988553974962[/C][/ROW]
[ROW][C]181[/C][C]41.25[/C][C]36.4102594124283[/C][C]4.83974058757175[/C][/ROW]
[ROW][C]182[/C][C]58.6[/C][C]41.2497538201891[/C][C]17.3502461798109[/C][/ROW]
[ROW][C]183[/C][C]97.81[/C][C]58.599117456763[/C][C]39.210882543237[/C][/ROW]
[ROW][C]184[/C][C]159.74[/C][C]97.8080054865594[/C][C]61.9319945134406[/C][/ROW]
[ROW][C]185[/C][C]161.49[/C][C]159.736849747125[/C][C]1.75315025287497[/C][/ROW]
[ROW][C]186[/C][C]125.32[/C][C]161.489910823692[/C][C]-36.1699108236919[/C][/ROW]
[ROW][C]187[/C][C]148.31[/C][C]125.321839830389[/C][C]22.988160169611[/C][/ROW]
[ROW][C]188[/C][C]193.55[/C][C]148.308830676806[/C][C]45.2411693231945[/C][/ROW]
[ROW][C]189[/C][C]307.5[/C][C]193.547698748041[/C][C]113.952301251959[/C][/ROW]
[ROW][C]190[/C][C]612.56[/C][C]307.494203665368[/C][C]305.065796334632[/C][/ROW]
[ROW][C]191[/C][C]459.64[/C][C]612.54448242448[/C][C]-152.90448242448[/C][/ROW]
[ROW][C]192[/C][C]375.91[/C][C]459.647777688885[/C][C]-83.737777688885[/C][/ROW]
[ROW][C]193[/C][C]424[/C][C]375.914259432899[/C][C]48.0857405671013[/C][/ROW]
[ROW][C]194[/C][C]360.66[/C][C]423.997554055159[/C][C]-63.337554055159[/C][/ROW]
[ROW][C]195[/C][C]317.66[/C][C]360.663221748521[/C][C]-43.0032217485215[/C][/ROW]
[ROW][C]196[/C][C]368.24[/C][C]317.662187415794[/C][C]50.5778125842061[/C][/ROW]
[ROW][C]197[/C][C]447.95[/C][C]368.237427292617[/C][C]79.7125727073825[/C][/ROW]
[ROW][C]198[/C][C]438.31[/C][C]447.945945314481[/C][C]-9.63594531448058[/C][/ROW]
[ROW][C]199[/C][C]382.58[/C][C]438.310490145113[/C][C]-55.7304901451127[/C][/ROW]
[ROW][C]200[/C][C]384.93[/C][C]382.582834805147[/C][C]2.34716519485312[/C][/ROW]
[ROW][C]201[/C][C]363.29[/C][C]384.929880608336[/C][C]-21.6398806083356[/C][/ROW]
[ROW][C]202[/C][C]344.97[/C][C]363.29110074117[/C][C]-18.32110074117[/C][/ROW]
[ROW][C]203[/C][C]360.91[/C][C]344.970931927039[/C][C]15.9390680729607[/C][/ROW]
[ROW][C]204[/C][C]385.42[/C][C]360.909189238205[/C][C]24.5108107617947[/C][/ROW]
[ROW][C]205[/C][C]385.5[/C][C]385.418753225168[/C][C]0.0812467748322092[/C][/ROW]
[ROW][C]206[/C][C]389.09[/C][C]385.499995867275[/C][C]3.59000413272474[/C][/ROW]
[ROW][C]207[/C][C]332.39[/C][C]389.089817389688[/C][C]-56.699817389688[/C][/ROW]
[ROW][C]208[/C][C]295.24[/C][C]332.39288411126[/C][C]-37.1528841112602[/C][/ROW]
[ROW][C]209[/C][C]279.91[/C][C]295.241889830626[/C][C]-15.3318898306264[/C][/ROW]
[ROW][C]210[/C][C]280.1[/C][C]279.91077987687[/C][C]0.189220123130269[/C][/ROW]
[ROW][C]211[/C][C]272.22[/C][C]280.099990375068[/C][C]-7.87999037506796[/C][/ROW]
[ROW][C]212[/C][C]311.33[/C][C]272.220400826141[/C][C]39.1095991738595[/C][/ROW]
[ROW][C]213[/C][C]364.8[/C][C]311.328010638472[/C][C]53.471989361528[/C][/ROW]
[ROW][C]214[/C][C]410.52[/C][C]364.797280076485[/C][C]45.7227199235151[/C][/ROW]
[ROW][C]215[/C][C]446[/C][C]410.517674253332[/C][C]35.4823257466682[/C][/ROW]
[ROW][C]216[/C][C]606[/C][C]445.998195144536[/C][C]160.001804855464[/C][/ROW]
[ROW][C]217[/C][C]699[/C][C]605.991861296415[/C][C]93.0081387035846[/C][/ROW]
[ROW][C]218[/C][C]768[/C][C]698.995269017918[/C][C]69.004730982082[/C][/ROW]
[ROW][C]219[/C][C]950[/C][C]767.996489983023[/C][C]182.003510016977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116561&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116561&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
219.3919.390
319.3919.390
419.3919.390
519.3919.390
619.3919.390
719.3919.390
819.3919.390
919.3919.390
1019.3919.390
1119.3919.390
1219.3919.390
1319.3919.390
1419.3919.390
1519.3919.390
1619.3919.390
1719.3919.390
1819.3919.390
1919.3919.390
2019.3919.390
2119.3919.390
2219.3919.390
2319.3919.390
2420.119.390.710000000000001
2521.6420.09996388491021.54003611508977
2620.9521.6399216640246-0.689921664024595
2719.4620.9500350937786-1.49003509377863
2819.3919.4600757926073-0.0700757926072768
2919.3919.3900035644979-3.56449794480795e-06
3019.3919.3900000001813-1.81312742597584e-10
3119.3919.39-1.06581410364015e-14
3219.3919.390
3319.3919.390
3419.3919.390
3519.3919.390
3619.3919.390
3719.3919.390
3819.3919.390
3919.3919.390
4019.3919.390
4119.3919.390
4219.3919.390
4319.3919.390
4419.9419.390.550000000000001
4520.6919.9399720235220.750027976477988
4620.6920.68996184883423.81511657714384e-05
4721.6420.68999999805940.950000001940609
4820.8621.6399516769925-0.779951676992468
4920.6720.8600396732744-0.190039673274402
5020.6720.6700096666195-9.66661951906644e-06
5120.6720.6700000004917-4.91706231287026e-10
5220.6720.67-2.48689957516035e-14
5320.6720.670
5420.6720.670
5520.6720.670
5620.6720.670
5720.6720.670
5820.6720.670
5920.6720.670
6020.6720.670
6120.6720.670
6220.6720.670
6320.6720.670
6420.6720.670
6520.6720.670
6620.6720.670
6720.720.670.0299999999999976
6820.6720.6999984740103-0.0299984740102879
6920.6720.6700015259121-1.52591208646413e-06
7020.6720.6700000000776-7.76161357407545e-11
7120.6720.67-3.5527136788005e-15
7223.4220.672.75
7330.0223.41986011761016.60013988238994
7442.0330.019664275148812.0103357248512
7532.5242.0293890783763-9.5093890783763
7629.1332.5204837076622-3.39048370766224
7728.5729.1301724614415-0.560172461441482
7828.8828.57002849391370.309971506086296
7927.4928.8799842328891-1.38998423288906
8023.7527.4900707033878-3.74007070338781
8123.0923.7501902436467-0.660190243646738
8223.2423.09003358145060.149966418549418
8323.5223.23999237175960.28000762824038
8422.9923.5199857570414-0.52998575704137
8523.7522.9900269584270.759973041572973
8623.0523.7499613429653-0.699961342965327
8721.6623.0500356044602-1.39003560446019
8820.8421.6600707060009-0.820070706000891
8920.6720.8400417139819-0.170041713981917
9020.6720.6700086493969-8.64939685030208e-06
9120.6720.67000000044-4.39964509268975e-10
9220.6720.67-2.1316282072803e-14
9320.6720.670
9420.6720.670
9520.6720.670
9620.6720.670
9720.6720.670
9820.6720.670
9920.6720.670
10020.6720.670
10120.6720.670
10220.6720.670
10320.6720.670
10420.6720.670
10520.6720.670
10620.6720.670
10720.6720.670
10820.6720.670
10920.6720.670
11020.6720.670
11120.6720.670
11220.6720.670
11320.6720.670
11420.6720.670
11520.6720.670
11620.6720.670
11720.6720.670
11820.6720.670
11920.6720.670
12020.6720.670
12120.6720.670
12220.6720.670
12320.6720.670
12420.6720.670
12520.6720.670
12620.6720.670
12720.6720.670
12820.6720.670
12920.6720.670
13020.6720.670
13120.6720.670
13220.6720.670
13320.6720.670
13420.6720.670
13520.6720.670
13620.6720.670
13720.6720.670
13820.6720.670
13920.6720.670
14020.6720.670
14120.6720.670
14220.6720.670
14324.4420.673.77
14434.9424.4398082339610.50019176604
1453534.93946589384760.0605341061523816
1463534.99999692085263.07914743302717e-06
1473534.99999999984341.56624935243599e-10
14835357.105427357601e-15
14935350
15035350
15135350
15235350
15335350
15435350
15535350
15635350
15735350
15835350
15935350
16035350
16135350
16235350
16335350
16435350
16535350
16635350
16735350
16835350
16935350
17035350
17135350
17235350
17335350
17435350
17535350
17635350
17735350
17839.26354.26
17941.5139.25978330946142.25021669053859
18036.4141.5098855397496-5.09988553974962
18141.2536.41025941242834.83974058757175
18258.641.249753820189117.3502461798109
18397.8158.59911745676339.210882543237
184159.7497.808005486559461.9319945134406
185161.49159.7368497471251.75315025287497
186125.32161.489910823692-36.1699108236919
187148.31125.32183983038922.988160169611
188193.55148.30883067680645.2411693231945
189307.5193.547698748041113.952301251959
190612.56307.494203665368305.065796334632
191459.64612.54448242448-152.90448242448
192375.91459.647777688885-83.737777688885
193424375.91425943289948.0857405671013
194360.66423.997554055159-63.337554055159
195317.66360.663221748521-43.0032217485215
196368.24317.66218741579450.5778125842061
197447.95368.23742729261779.7125727073825
198438.31447.945945314481-9.63594531448058
199382.58438.310490145113-55.7304901451127
200384.93382.5828348051472.34716519485312
201363.29384.929880608336-21.6398806083356
202344.97363.29110074117-18.32110074117
203360.91344.97093192703915.9390680729607
204385.42360.90918923820524.5108107617947
205385.5385.4187532251680.0812467748322092
206389.09385.4999958672753.59000413272474
207332.39389.089817389688-56.699817389688
208295.24332.39288411126-37.1528841112602
209279.91295.241889830626-15.3318898306264
210280.1279.910779876870.189220123130269
211272.22280.099990375068-7.87999037506796
212311.33272.22040082614139.1095991738595
213364.8311.32801063847253.471989361528
214410.52364.79728007648545.7227199235151
215446410.51767425333235.4823257466682
216606445.998195144536160.001804855464
217699605.99186129641593.0081387035846
218768698.99526901791869.004730982082
219950767.996489983023182.003510016977







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
220949.99074215056883.5606828057271016.42080149539

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
220 & 949.99074215056 & 883.560682805727 & 1016.42080149539 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116561&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]220[/C][C]949.99074215056[/C][C]883.560682805727[/C][C]1016.42080149539[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116561&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116561&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
220949.99074215056883.5606828057271016.42080149539



Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 1 ;
Parameters (R input):
par1 = 1 ; 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')