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 computationSun, 11 Dec 2016 14:20:45 +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/2016/Dec/11/t1481462464cyu7g7jt6a5dywa.htm/, Retrieved Thu, 02 May 2024 02:08:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298782, Retrieved Thu, 02 May 2024 02:08:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [F1:N2774] [2016-12-03 13:43:19] [a4c5732063e280fade3b47e7f5057d96]
- RMP   [Exponential Smoothing] [F1:N2774] [2016-12-05 14:27:35] [a4c5732063e280fade3b47e7f5057d96]
- R P       [Exponential Smoothing] [F1:N1809] [2016-12-11 13:20:45] [8d7b5e4c30a3b8052caee801f90adcea] [Current]
Feedback Forum

Post a new message
Dataseries X:
5315.1
5327.75
5349.45
5346.8
5346.6
5325.25
5340.35
5354.75
5382.85
5392.35
5400.35
5410.8
5444.35
5424
5441.85
5447.6
5454.45
5478.8
5490.5
5500.75
5504.25
5513.65
5523.75
5536.4
5547.65
5562.85
5570.4
5589.7
5621.7
5612.3
5631.7
5652.85
5645.45
5664.1
5675.25
5689.65
5700.8
5711.35
5701.85
5732.5
5714.6
5746.35
5753
5764.1
5767.8
5781.9
5805
5805.2
5835.4
5838.8
5851.1
5854.85
5854.95
5870.9
5873.6
5882.75
5867.7
5879.05
5895.6
5891.5
5954.05
5952.95
5960.15
5942.6
5957.55
5949.15
5940.5
5940.1
5926.2
5926.8
5915.3
5912.05
5897
5887.75
5882.6
5905.45
5872
5881.95
5878.4
5874.2
5896.4
5890
5888.5
5873.3
5898.9
5887.65
5907.2
5921.3
5918.75
5920.95
5935.65
5941.3
5936
5931.4
5943.8
5949.85
5953.75
5963.75
5977.1
5973.7
6005.75
6014.5
6023.35
6042.8
6027.7
6041.15
6058.45
6073.2
6096.1
6103.3
6101.55
6115.15
6146.25
6134.3
6136.65
6168.05
6182.8
6204.3
6220.85
6229.75




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=298782&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=298782&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298782&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
alpha0.697401610687112
beta0.158699260672859
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.697401610687112 \tabularnewline
beta & 0.158699260672859 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298782&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]0.697401610687112[/C][/ROW]
[ROW][C]beta[/C][C]0.158699260672859[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298782&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298782&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
alpha0.697401610687112
beta0.158699260672859
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
35349.455340.49.05000000000018
45346.85360.36311251279-13.5631125127911
55346.65363.05467770525-16.454677705251
65325.255361.908504336-36.6585043360046
75340.355342.61489204871-2.26489204871268
85354.755347.056768638857.69323136115418
95382.855359.2949212250523.5550787749507
105392.355385.202160026487.14783997351606
115400.355400.45806640342-0.10806640341707
125410.85410.641731507780.158268492216848
135444.355421.0286556982523.3213443017476
1454245450.15068548879-26.1506854887921
155441.855441.87655946331-0.02655946331015
165447.65451.81850148089-4.2185014808847
175454.455458.37008478884-3.92008478884236
185478.85464.6959206838714.1040793161319
195490.55485.152836536075.34716346393179
205500.755500.094473820690.655526179306435
215504.255511.83670745588-7.58670745587642
225513.655516.99111914666-3.341119146663
235523.755524.73662551785-0.98662551785219
245536.45534.014962667282.385037332715
255547.655545.908671982491.74132801750602
265562.855557.546182554435.30381744557235
275570.45572.25519023148-1.85519023147663
285589.75581.766167311747.9338326882571
295621.75598.9821184958522.7178815041543
305612.35629.0228388342-16.7228388341973
315631.75629.706701641391.99329835860499
325652.855643.663841194349.18615880565903
335645.455663.65399080906-18.2039908090583
345664.15662.527440690111.5725593098914
355675.255675.36713481341-0.117134813410303
365689.655687.015469389752.63453061024757
375700.85700.87440212514-0.0744021251402955
385711.355712.83588619469-1.48588619469228
395701.855723.64854539599-21.7985453959909
405732.55717.8825231281714.6174768718274
415714.65739.13091368671-24.5309136867063
425746.355730.362142735915.987857264101
4357535751.620717906341.37928209366146
445764.15762.843904192881.25609580712535
455767.85774.12020123115-6.32020123115308
465781.95779.413274841762.48672515824273
4758055791.1235366802913.876463319707
485805.25812.31282725406-7.11282725406181
495835.45818.0769255389117.3230744610892
505838.85842.79992902954-3.99992902953545
515851.15852.20953491589-1.10953491588771
525854.855863.51210618358-8.66210618357854
535854.955868.58880511875-13.6388051187505
545870.95868.685242529732.2147574702667
555873.65880.08310300375-6.48310300375124
565882.755884.69753040449-1.94753040448632
575867.75892.25952638504-24.559526385041
585879.055881.33370229885-2.28370229884604
595895.65885.690320216359.90967978364552
605891.55899.64739725657-8.14739725657273
615954.055900.1097092207253.9402907792792
625952.955949.842030860763.10796913923787
635960.155964.46779058748-4.31779058747907
645942.65973.43693289319-30.8369328931858
655957.555960.49863971835-2.94863971835275
665949.155966.68334017099-17.5333401709941
675940.55960.75610744232-20.2561074423247
685940.15950.68812479881-10.5881247988127
695926.25946.19074566396-19.990745663963
705926.85932.92344543617-6.12344543617382
715915.35928.64949741772-13.3494974177247
725912.055917.85860518068-5.80860518068403
7358975911.68386364311-14.6838636431112
745887.755897.69433481997-9.94433481996566
755882.65885.90955069371-3.30955069370884
765905.455878.3855841643727.0644158356345
7758725895.03988241493-23.0398824149315
785881.955874.20137453227.74862546780332
795878.45875.692417188332.70758281166854
805874.25873.967496044310.232503955687207
815896.45870.5421837877625.8578162122376
8258905887.849874201362.15012579864106
835888.55888.86175286589-0.361752865891503
845873.35888.08180553858-14.7818055385769
855898.95875.6092825856123.2907174143911
865887.655892.26634798931-4.61634798930936
875907.25888.9500569305118.2499430694934
885921.35903.600605225817.699394774203
895918.755919.82611829269-1.07611829268626
905920.955922.83845663183-1.88845663182656
915935.655925.0752599635610.5747400364417
925941.35937.174298498124.12570150188276
9359365945.23238793153-9.23238793153359
945931.45942.95271017132-11.5527101713233
955943.85937.776215253726.0237847462804
965949.855945.524291349154.32570865084654
975953.755952.566883416031.18311658396669
985963.755957.548770649896.20122935011477
995977.15966.7166320144410.3833679855616
1005973.75979.9503248641-6.25032486409691
1016005.755980.8918855736524.8581144263453
1026014.56006.279746463878.22025353613117
1036023.356020.974130357972.37586964202546
1046042.86031.8555859203510.9444140796477
1056027.76049.92405440528-22.2240544052838
1066041.156042.40108520832-1.25108520831873
1076058.456049.366232002479.08376799753387
1086073.26064.544287349388.65571265062135
1096096.16080.3818055556815.7181944443209
1106103.36102.884354433180.415645566819876
1116101.556114.76088353017-13.2108835301742
1126115.156115.67210674497-0.52210674496655
1136146.256125.3747180565420.8752819434585
1146134.36152.31031878878-18.0103187887826
1156136.656150.13370872385-13.4837087238529
1166168.056149.6216257605718.4283742394273
1176182.86173.404680243529.39531975648333
1186204.36191.9279149128312.3720850871659
1196220.856213.896457264356.95354273565044
1206229.756232.85569753618-3.1056975361771

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 5349.45 & 5340.4 & 9.05000000000018 \tabularnewline
4 & 5346.8 & 5360.36311251279 & -13.5631125127911 \tabularnewline
5 & 5346.6 & 5363.05467770525 & -16.454677705251 \tabularnewline
6 & 5325.25 & 5361.908504336 & -36.6585043360046 \tabularnewline
7 & 5340.35 & 5342.61489204871 & -2.26489204871268 \tabularnewline
8 & 5354.75 & 5347.05676863885 & 7.69323136115418 \tabularnewline
9 & 5382.85 & 5359.29492122505 & 23.5550787749507 \tabularnewline
10 & 5392.35 & 5385.20216002648 & 7.14783997351606 \tabularnewline
11 & 5400.35 & 5400.45806640342 & -0.10806640341707 \tabularnewline
12 & 5410.8 & 5410.64173150778 & 0.158268492216848 \tabularnewline
13 & 5444.35 & 5421.02865569825 & 23.3213443017476 \tabularnewline
14 & 5424 & 5450.15068548879 & -26.1506854887921 \tabularnewline
15 & 5441.85 & 5441.87655946331 & -0.02655946331015 \tabularnewline
16 & 5447.6 & 5451.81850148089 & -4.2185014808847 \tabularnewline
17 & 5454.45 & 5458.37008478884 & -3.92008478884236 \tabularnewline
18 & 5478.8 & 5464.69592068387 & 14.1040793161319 \tabularnewline
19 & 5490.5 & 5485.15283653607 & 5.34716346393179 \tabularnewline
20 & 5500.75 & 5500.09447382069 & 0.655526179306435 \tabularnewline
21 & 5504.25 & 5511.83670745588 & -7.58670745587642 \tabularnewline
22 & 5513.65 & 5516.99111914666 & -3.341119146663 \tabularnewline
23 & 5523.75 & 5524.73662551785 & -0.98662551785219 \tabularnewline
24 & 5536.4 & 5534.01496266728 & 2.385037332715 \tabularnewline
25 & 5547.65 & 5545.90867198249 & 1.74132801750602 \tabularnewline
26 & 5562.85 & 5557.54618255443 & 5.30381744557235 \tabularnewline
27 & 5570.4 & 5572.25519023148 & -1.85519023147663 \tabularnewline
28 & 5589.7 & 5581.76616731174 & 7.9338326882571 \tabularnewline
29 & 5621.7 & 5598.98211849585 & 22.7178815041543 \tabularnewline
30 & 5612.3 & 5629.0228388342 & -16.7228388341973 \tabularnewline
31 & 5631.7 & 5629.70670164139 & 1.99329835860499 \tabularnewline
32 & 5652.85 & 5643.66384119434 & 9.18615880565903 \tabularnewline
33 & 5645.45 & 5663.65399080906 & -18.2039908090583 \tabularnewline
34 & 5664.1 & 5662.52744069011 & 1.5725593098914 \tabularnewline
35 & 5675.25 & 5675.36713481341 & -0.117134813410303 \tabularnewline
36 & 5689.65 & 5687.01546938975 & 2.63453061024757 \tabularnewline
37 & 5700.8 & 5700.87440212514 & -0.0744021251402955 \tabularnewline
38 & 5711.35 & 5712.83588619469 & -1.48588619469228 \tabularnewline
39 & 5701.85 & 5723.64854539599 & -21.7985453959909 \tabularnewline
40 & 5732.5 & 5717.88252312817 & 14.6174768718274 \tabularnewline
41 & 5714.6 & 5739.13091368671 & -24.5309136867063 \tabularnewline
42 & 5746.35 & 5730.3621427359 & 15.987857264101 \tabularnewline
43 & 5753 & 5751.62071790634 & 1.37928209366146 \tabularnewline
44 & 5764.1 & 5762.84390419288 & 1.25609580712535 \tabularnewline
45 & 5767.8 & 5774.12020123115 & -6.32020123115308 \tabularnewline
46 & 5781.9 & 5779.41327484176 & 2.48672515824273 \tabularnewline
47 & 5805 & 5791.12353668029 & 13.876463319707 \tabularnewline
48 & 5805.2 & 5812.31282725406 & -7.11282725406181 \tabularnewline
49 & 5835.4 & 5818.07692553891 & 17.3230744610892 \tabularnewline
50 & 5838.8 & 5842.79992902954 & -3.99992902953545 \tabularnewline
51 & 5851.1 & 5852.20953491589 & -1.10953491588771 \tabularnewline
52 & 5854.85 & 5863.51210618358 & -8.66210618357854 \tabularnewline
53 & 5854.95 & 5868.58880511875 & -13.6388051187505 \tabularnewline
54 & 5870.9 & 5868.68524252973 & 2.2147574702667 \tabularnewline
55 & 5873.6 & 5880.08310300375 & -6.48310300375124 \tabularnewline
56 & 5882.75 & 5884.69753040449 & -1.94753040448632 \tabularnewline
57 & 5867.7 & 5892.25952638504 & -24.559526385041 \tabularnewline
58 & 5879.05 & 5881.33370229885 & -2.28370229884604 \tabularnewline
59 & 5895.6 & 5885.69032021635 & 9.90967978364552 \tabularnewline
60 & 5891.5 & 5899.64739725657 & -8.14739725657273 \tabularnewline
61 & 5954.05 & 5900.10970922072 & 53.9402907792792 \tabularnewline
62 & 5952.95 & 5949.84203086076 & 3.10796913923787 \tabularnewline
63 & 5960.15 & 5964.46779058748 & -4.31779058747907 \tabularnewline
64 & 5942.6 & 5973.43693289319 & -30.8369328931858 \tabularnewline
65 & 5957.55 & 5960.49863971835 & -2.94863971835275 \tabularnewline
66 & 5949.15 & 5966.68334017099 & -17.5333401709941 \tabularnewline
67 & 5940.5 & 5960.75610744232 & -20.2561074423247 \tabularnewline
68 & 5940.1 & 5950.68812479881 & -10.5881247988127 \tabularnewline
69 & 5926.2 & 5946.19074566396 & -19.990745663963 \tabularnewline
70 & 5926.8 & 5932.92344543617 & -6.12344543617382 \tabularnewline
71 & 5915.3 & 5928.64949741772 & -13.3494974177247 \tabularnewline
72 & 5912.05 & 5917.85860518068 & -5.80860518068403 \tabularnewline
73 & 5897 & 5911.68386364311 & -14.6838636431112 \tabularnewline
74 & 5887.75 & 5897.69433481997 & -9.94433481996566 \tabularnewline
75 & 5882.6 & 5885.90955069371 & -3.30955069370884 \tabularnewline
76 & 5905.45 & 5878.38558416437 & 27.0644158356345 \tabularnewline
77 & 5872 & 5895.03988241493 & -23.0398824149315 \tabularnewline
78 & 5881.95 & 5874.2013745322 & 7.74862546780332 \tabularnewline
79 & 5878.4 & 5875.69241718833 & 2.70758281166854 \tabularnewline
80 & 5874.2 & 5873.96749604431 & 0.232503955687207 \tabularnewline
81 & 5896.4 & 5870.54218378776 & 25.8578162122376 \tabularnewline
82 & 5890 & 5887.84987420136 & 2.15012579864106 \tabularnewline
83 & 5888.5 & 5888.86175286589 & -0.361752865891503 \tabularnewline
84 & 5873.3 & 5888.08180553858 & -14.7818055385769 \tabularnewline
85 & 5898.9 & 5875.60928258561 & 23.2907174143911 \tabularnewline
86 & 5887.65 & 5892.26634798931 & -4.61634798930936 \tabularnewline
87 & 5907.2 & 5888.95005693051 & 18.2499430694934 \tabularnewline
88 & 5921.3 & 5903.6006052258 & 17.699394774203 \tabularnewline
89 & 5918.75 & 5919.82611829269 & -1.07611829268626 \tabularnewline
90 & 5920.95 & 5922.83845663183 & -1.88845663182656 \tabularnewline
91 & 5935.65 & 5925.07525996356 & 10.5747400364417 \tabularnewline
92 & 5941.3 & 5937.17429849812 & 4.12570150188276 \tabularnewline
93 & 5936 & 5945.23238793153 & -9.23238793153359 \tabularnewline
94 & 5931.4 & 5942.95271017132 & -11.5527101713233 \tabularnewline
95 & 5943.8 & 5937.77621525372 & 6.0237847462804 \tabularnewline
96 & 5949.85 & 5945.52429134915 & 4.32570865084654 \tabularnewline
97 & 5953.75 & 5952.56688341603 & 1.18311658396669 \tabularnewline
98 & 5963.75 & 5957.54877064989 & 6.20122935011477 \tabularnewline
99 & 5977.1 & 5966.71663201444 & 10.3833679855616 \tabularnewline
100 & 5973.7 & 5979.9503248641 & -6.25032486409691 \tabularnewline
101 & 6005.75 & 5980.89188557365 & 24.8581144263453 \tabularnewline
102 & 6014.5 & 6006.27974646387 & 8.22025353613117 \tabularnewline
103 & 6023.35 & 6020.97413035797 & 2.37586964202546 \tabularnewline
104 & 6042.8 & 6031.85558592035 & 10.9444140796477 \tabularnewline
105 & 6027.7 & 6049.92405440528 & -22.2240544052838 \tabularnewline
106 & 6041.15 & 6042.40108520832 & -1.25108520831873 \tabularnewline
107 & 6058.45 & 6049.36623200247 & 9.08376799753387 \tabularnewline
108 & 6073.2 & 6064.54428734938 & 8.65571265062135 \tabularnewline
109 & 6096.1 & 6080.38180555568 & 15.7181944443209 \tabularnewline
110 & 6103.3 & 6102.88435443318 & 0.415645566819876 \tabularnewline
111 & 6101.55 & 6114.76088353017 & -13.2108835301742 \tabularnewline
112 & 6115.15 & 6115.67210674497 & -0.52210674496655 \tabularnewline
113 & 6146.25 & 6125.37471805654 & 20.8752819434585 \tabularnewline
114 & 6134.3 & 6152.31031878878 & -18.0103187887826 \tabularnewline
115 & 6136.65 & 6150.13370872385 & -13.4837087238529 \tabularnewline
116 & 6168.05 & 6149.62162576057 & 18.4283742394273 \tabularnewline
117 & 6182.8 & 6173.40468024352 & 9.39531975648333 \tabularnewline
118 & 6204.3 & 6191.92791491283 & 12.3720850871659 \tabularnewline
119 & 6220.85 & 6213.89645726435 & 6.95354273565044 \tabularnewline
120 & 6229.75 & 6232.85569753618 & -3.1056975361771 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298782&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]3[/C][C]5349.45[/C][C]5340.4[/C][C]9.05000000000018[/C][/ROW]
[ROW][C]4[/C][C]5346.8[/C][C]5360.36311251279[/C][C]-13.5631125127911[/C][/ROW]
[ROW][C]5[/C][C]5346.6[/C][C]5363.05467770525[/C][C]-16.454677705251[/C][/ROW]
[ROW][C]6[/C][C]5325.25[/C][C]5361.908504336[/C][C]-36.6585043360046[/C][/ROW]
[ROW][C]7[/C][C]5340.35[/C][C]5342.61489204871[/C][C]-2.26489204871268[/C][/ROW]
[ROW][C]8[/C][C]5354.75[/C][C]5347.05676863885[/C][C]7.69323136115418[/C][/ROW]
[ROW][C]9[/C][C]5382.85[/C][C]5359.29492122505[/C][C]23.5550787749507[/C][/ROW]
[ROW][C]10[/C][C]5392.35[/C][C]5385.20216002648[/C][C]7.14783997351606[/C][/ROW]
[ROW][C]11[/C][C]5400.35[/C][C]5400.45806640342[/C][C]-0.10806640341707[/C][/ROW]
[ROW][C]12[/C][C]5410.8[/C][C]5410.64173150778[/C][C]0.158268492216848[/C][/ROW]
[ROW][C]13[/C][C]5444.35[/C][C]5421.02865569825[/C][C]23.3213443017476[/C][/ROW]
[ROW][C]14[/C][C]5424[/C][C]5450.15068548879[/C][C]-26.1506854887921[/C][/ROW]
[ROW][C]15[/C][C]5441.85[/C][C]5441.87655946331[/C][C]-0.02655946331015[/C][/ROW]
[ROW][C]16[/C][C]5447.6[/C][C]5451.81850148089[/C][C]-4.2185014808847[/C][/ROW]
[ROW][C]17[/C][C]5454.45[/C][C]5458.37008478884[/C][C]-3.92008478884236[/C][/ROW]
[ROW][C]18[/C][C]5478.8[/C][C]5464.69592068387[/C][C]14.1040793161319[/C][/ROW]
[ROW][C]19[/C][C]5490.5[/C][C]5485.15283653607[/C][C]5.34716346393179[/C][/ROW]
[ROW][C]20[/C][C]5500.75[/C][C]5500.09447382069[/C][C]0.655526179306435[/C][/ROW]
[ROW][C]21[/C][C]5504.25[/C][C]5511.83670745588[/C][C]-7.58670745587642[/C][/ROW]
[ROW][C]22[/C][C]5513.65[/C][C]5516.99111914666[/C][C]-3.341119146663[/C][/ROW]
[ROW][C]23[/C][C]5523.75[/C][C]5524.73662551785[/C][C]-0.98662551785219[/C][/ROW]
[ROW][C]24[/C][C]5536.4[/C][C]5534.01496266728[/C][C]2.385037332715[/C][/ROW]
[ROW][C]25[/C][C]5547.65[/C][C]5545.90867198249[/C][C]1.74132801750602[/C][/ROW]
[ROW][C]26[/C][C]5562.85[/C][C]5557.54618255443[/C][C]5.30381744557235[/C][/ROW]
[ROW][C]27[/C][C]5570.4[/C][C]5572.25519023148[/C][C]-1.85519023147663[/C][/ROW]
[ROW][C]28[/C][C]5589.7[/C][C]5581.76616731174[/C][C]7.9338326882571[/C][/ROW]
[ROW][C]29[/C][C]5621.7[/C][C]5598.98211849585[/C][C]22.7178815041543[/C][/ROW]
[ROW][C]30[/C][C]5612.3[/C][C]5629.0228388342[/C][C]-16.7228388341973[/C][/ROW]
[ROW][C]31[/C][C]5631.7[/C][C]5629.70670164139[/C][C]1.99329835860499[/C][/ROW]
[ROW][C]32[/C][C]5652.85[/C][C]5643.66384119434[/C][C]9.18615880565903[/C][/ROW]
[ROW][C]33[/C][C]5645.45[/C][C]5663.65399080906[/C][C]-18.2039908090583[/C][/ROW]
[ROW][C]34[/C][C]5664.1[/C][C]5662.52744069011[/C][C]1.5725593098914[/C][/ROW]
[ROW][C]35[/C][C]5675.25[/C][C]5675.36713481341[/C][C]-0.117134813410303[/C][/ROW]
[ROW][C]36[/C][C]5689.65[/C][C]5687.01546938975[/C][C]2.63453061024757[/C][/ROW]
[ROW][C]37[/C][C]5700.8[/C][C]5700.87440212514[/C][C]-0.0744021251402955[/C][/ROW]
[ROW][C]38[/C][C]5711.35[/C][C]5712.83588619469[/C][C]-1.48588619469228[/C][/ROW]
[ROW][C]39[/C][C]5701.85[/C][C]5723.64854539599[/C][C]-21.7985453959909[/C][/ROW]
[ROW][C]40[/C][C]5732.5[/C][C]5717.88252312817[/C][C]14.6174768718274[/C][/ROW]
[ROW][C]41[/C][C]5714.6[/C][C]5739.13091368671[/C][C]-24.5309136867063[/C][/ROW]
[ROW][C]42[/C][C]5746.35[/C][C]5730.3621427359[/C][C]15.987857264101[/C][/ROW]
[ROW][C]43[/C][C]5753[/C][C]5751.62071790634[/C][C]1.37928209366146[/C][/ROW]
[ROW][C]44[/C][C]5764.1[/C][C]5762.84390419288[/C][C]1.25609580712535[/C][/ROW]
[ROW][C]45[/C][C]5767.8[/C][C]5774.12020123115[/C][C]-6.32020123115308[/C][/ROW]
[ROW][C]46[/C][C]5781.9[/C][C]5779.41327484176[/C][C]2.48672515824273[/C][/ROW]
[ROW][C]47[/C][C]5805[/C][C]5791.12353668029[/C][C]13.876463319707[/C][/ROW]
[ROW][C]48[/C][C]5805.2[/C][C]5812.31282725406[/C][C]-7.11282725406181[/C][/ROW]
[ROW][C]49[/C][C]5835.4[/C][C]5818.07692553891[/C][C]17.3230744610892[/C][/ROW]
[ROW][C]50[/C][C]5838.8[/C][C]5842.79992902954[/C][C]-3.99992902953545[/C][/ROW]
[ROW][C]51[/C][C]5851.1[/C][C]5852.20953491589[/C][C]-1.10953491588771[/C][/ROW]
[ROW][C]52[/C][C]5854.85[/C][C]5863.51210618358[/C][C]-8.66210618357854[/C][/ROW]
[ROW][C]53[/C][C]5854.95[/C][C]5868.58880511875[/C][C]-13.6388051187505[/C][/ROW]
[ROW][C]54[/C][C]5870.9[/C][C]5868.68524252973[/C][C]2.2147574702667[/C][/ROW]
[ROW][C]55[/C][C]5873.6[/C][C]5880.08310300375[/C][C]-6.48310300375124[/C][/ROW]
[ROW][C]56[/C][C]5882.75[/C][C]5884.69753040449[/C][C]-1.94753040448632[/C][/ROW]
[ROW][C]57[/C][C]5867.7[/C][C]5892.25952638504[/C][C]-24.559526385041[/C][/ROW]
[ROW][C]58[/C][C]5879.05[/C][C]5881.33370229885[/C][C]-2.28370229884604[/C][/ROW]
[ROW][C]59[/C][C]5895.6[/C][C]5885.69032021635[/C][C]9.90967978364552[/C][/ROW]
[ROW][C]60[/C][C]5891.5[/C][C]5899.64739725657[/C][C]-8.14739725657273[/C][/ROW]
[ROW][C]61[/C][C]5954.05[/C][C]5900.10970922072[/C][C]53.9402907792792[/C][/ROW]
[ROW][C]62[/C][C]5952.95[/C][C]5949.84203086076[/C][C]3.10796913923787[/C][/ROW]
[ROW][C]63[/C][C]5960.15[/C][C]5964.46779058748[/C][C]-4.31779058747907[/C][/ROW]
[ROW][C]64[/C][C]5942.6[/C][C]5973.43693289319[/C][C]-30.8369328931858[/C][/ROW]
[ROW][C]65[/C][C]5957.55[/C][C]5960.49863971835[/C][C]-2.94863971835275[/C][/ROW]
[ROW][C]66[/C][C]5949.15[/C][C]5966.68334017099[/C][C]-17.5333401709941[/C][/ROW]
[ROW][C]67[/C][C]5940.5[/C][C]5960.75610744232[/C][C]-20.2561074423247[/C][/ROW]
[ROW][C]68[/C][C]5940.1[/C][C]5950.68812479881[/C][C]-10.5881247988127[/C][/ROW]
[ROW][C]69[/C][C]5926.2[/C][C]5946.19074566396[/C][C]-19.990745663963[/C][/ROW]
[ROW][C]70[/C][C]5926.8[/C][C]5932.92344543617[/C][C]-6.12344543617382[/C][/ROW]
[ROW][C]71[/C][C]5915.3[/C][C]5928.64949741772[/C][C]-13.3494974177247[/C][/ROW]
[ROW][C]72[/C][C]5912.05[/C][C]5917.85860518068[/C][C]-5.80860518068403[/C][/ROW]
[ROW][C]73[/C][C]5897[/C][C]5911.68386364311[/C][C]-14.6838636431112[/C][/ROW]
[ROW][C]74[/C][C]5887.75[/C][C]5897.69433481997[/C][C]-9.94433481996566[/C][/ROW]
[ROW][C]75[/C][C]5882.6[/C][C]5885.90955069371[/C][C]-3.30955069370884[/C][/ROW]
[ROW][C]76[/C][C]5905.45[/C][C]5878.38558416437[/C][C]27.0644158356345[/C][/ROW]
[ROW][C]77[/C][C]5872[/C][C]5895.03988241493[/C][C]-23.0398824149315[/C][/ROW]
[ROW][C]78[/C][C]5881.95[/C][C]5874.2013745322[/C][C]7.74862546780332[/C][/ROW]
[ROW][C]79[/C][C]5878.4[/C][C]5875.69241718833[/C][C]2.70758281166854[/C][/ROW]
[ROW][C]80[/C][C]5874.2[/C][C]5873.96749604431[/C][C]0.232503955687207[/C][/ROW]
[ROW][C]81[/C][C]5896.4[/C][C]5870.54218378776[/C][C]25.8578162122376[/C][/ROW]
[ROW][C]82[/C][C]5890[/C][C]5887.84987420136[/C][C]2.15012579864106[/C][/ROW]
[ROW][C]83[/C][C]5888.5[/C][C]5888.86175286589[/C][C]-0.361752865891503[/C][/ROW]
[ROW][C]84[/C][C]5873.3[/C][C]5888.08180553858[/C][C]-14.7818055385769[/C][/ROW]
[ROW][C]85[/C][C]5898.9[/C][C]5875.60928258561[/C][C]23.2907174143911[/C][/ROW]
[ROW][C]86[/C][C]5887.65[/C][C]5892.26634798931[/C][C]-4.61634798930936[/C][/ROW]
[ROW][C]87[/C][C]5907.2[/C][C]5888.95005693051[/C][C]18.2499430694934[/C][/ROW]
[ROW][C]88[/C][C]5921.3[/C][C]5903.6006052258[/C][C]17.699394774203[/C][/ROW]
[ROW][C]89[/C][C]5918.75[/C][C]5919.82611829269[/C][C]-1.07611829268626[/C][/ROW]
[ROW][C]90[/C][C]5920.95[/C][C]5922.83845663183[/C][C]-1.88845663182656[/C][/ROW]
[ROW][C]91[/C][C]5935.65[/C][C]5925.07525996356[/C][C]10.5747400364417[/C][/ROW]
[ROW][C]92[/C][C]5941.3[/C][C]5937.17429849812[/C][C]4.12570150188276[/C][/ROW]
[ROW][C]93[/C][C]5936[/C][C]5945.23238793153[/C][C]-9.23238793153359[/C][/ROW]
[ROW][C]94[/C][C]5931.4[/C][C]5942.95271017132[/C][C]-11.5527101713233[/C][/ROW]
[ROW][C]95[/C][C]5943.8[/C][C]5937.77621525372[/C][C]6.0237847462804[/C][/ROW]
[ROW][C]96[/C][C]5949.85[/C][C]5945.52429134915[/C][C]4.32570865084654[/C][/ROW]
[ROW][C]97[/C][C]5953.75[/C][C]5952.56688341603[/C][C]1.18311658396669[/C][/ROW]
[ROW][C]98[/C][C]5963.75[/C][C]5957.54877064989[/C][C]6.20122935011477[/C][/ROW]
[ROW][C]99[/C][C]5977.1[/C][C]5966.71663201444[/C][C]10.3833679855616[/C][/ROW]
[ROW][C]100[/C][C]5973.7[/C][C]5979.9503248641[/C][C]-6.25032486409691[/C][/ROW]
[ROW][C]101[/C][C]6005.75[/C][C]5980.89188557365[/C][C]24.8581144263453[/C][/ROW]
[ROW][C]102[/C][C]6014.5[/C][C]6006.27974646387[/C][C]8.22025353613117[/C][/ROW]
[ROW][C]103[/C][C]6023.35[/C][C]6020.97413035797[/C][C]2.37586964202546[/C][/ROW]
[ROW][C]104[/C][C]6042.8[/C][C]6031.85558592035[/C][C]10.9444140796477[/C][/ROW]
[ROW][C]105[/C][C]6027.7[/C][C]6049.92405440528[/C][C]-22.2240544052838[/C][/ROW]
[ROW][C]106[/C][C]6041.15[/C][C]6042.40108520832[/C][C]-1.25108520831873[/C][/ROW]
[ROW][C]107[/C][C]6058.45[/C][C]6049.36623200247[/C][C]9.08376799753387[/C][/ROW]
[ROW][C]108[/C][C]6073.2[/C][C]6064.54428734938[/C][C]8.65571265062135[/C][/ROW]
[ROW][C]109[/C][C]6096.1[/C][C]6080.38180555568[/C][C]15.7181944443209[/C][/ROW]
[ROW][C]110[/C][C]6103.3[/C][C]6102.88435443318[/C][C]0.415645566819876[/C][/ROW]
[ROW][C]111[/C][C]6101.55[/C][C]6114.76088353017[/C][C]-13.2108835301742[/C][/ROW]
[ROW][C]112[/C][C]6115.15[/C][C]6115.67210674497[/C][C]-0.52210674496655[/C][/ROW]
[ROW][C]113[/C][C]6146.25[/C][C]6125.37471805654[/C][C]20.8752819434585[/C][/ROW]
[ROW][C]114[/C][C]6134.3[/C][C]6152.31031878878[/C][C]-18.0103187887826[/C][/ROW]
[ROW][C]115[/C][C]6136.65[/C][C]6150.13370872385[/C][C]-13.4837087238529[/C][/ROW]
[ROW][C]116[/C][C]6168.05[/C][C]6149.62162576057[/C][C]18.4283742394273[/C][/ROW]
[ROW][C]117[/C][C]6182.8[/C][C]6173.40468024352[/C][C]9.39531975648333[/C][/ROW]
[ROW][C]118[/C][C]6204.3[/C][C]6191.92791491283[/C][C]12.3720850871659[/C][/ROW]
[ROW][C]119[/C][C]6220.85[/C][C]6213.89645726435[/C][C]6.95354273565044[/C][/ROW]
[ROW][C]120[/C][C]6229.75[/C][C]6232.85569753618[/C][C]-3.1056975361771[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298782&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298782&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
35349.455340.49.05000000000018
45346.85360.36311251279-13.5631125127911
55346.65363.05467770525-16.454677705251
65325.255361.908504336-36.6585043360046
75340.355342.61489204871-2.26489204871268
85354.755347.056768638857.69323136115418
95382.855359.2949212250523.5550787749507
105392.355385.202160026487.14783997351606
115400.355400.45806640342-0.10806640341707
125410.85410.641731507780.158268492216848
135444.355421.0286556982523.3213443017476
1454245450.15068548879-26.1506854887921
155441.855441.87655946331-0.02655946331015
165447.65451.81850148089-4.2185014808847
175454.455458.37008478884-3.92008478884236
185478.85464.6959206838714.1040793161319
195490.55485.152836536075.34716346393179
205500.755500.094473820690.655526179306435
215504.255511.83670745588-7.58670745587642
225513.655516.99111914666-3.341119146663
235523.755524.73662551785-0.98662551785219
245536.45534.014962667282.385037332715
255547.655545.908671982491.74132801750602
265562.855557.546182554435.30381744557235
275570.45572.25519023148-1.85519023147663
285589.75581.766167311747.9338326882571
295621.75598.9821184958522.7178815041543
305612.35629.0228388342-16.7228388341973
315631.75629.706701641391.99329835860499
325652.855643.663841194349.18615880565903
335645.455663.65399080906-18.2039908090583
345664.15662.527440690111.5725593098914
355675.255675.36713481341-0.117134813410303
365689.655687.015469389752.63453061024757
375700.85700.87440212514-0.0744021251402955
385711.355712.83588619469-1.48588619469228
395701.855723.64854539599-21.7985453959909
405732.55717.8825231281714.6174768718274
415714.65739.13091368671-24.5309136867063
425746.355730.362142735915.987857264101
4357535751.620717906341.37928209366146
445764.15762.843904192881.25609580712535
455767.85774.12020123115-6.32020123115308
465781.95779.413274841762.48672515824273
4758055791.1235366802913.876463319707
485805.25812.31282725406-7.11282725406181
495835.45818.0769255389117.3230744610892
505838.85842.79992902954-3.99992902953545
515851.15852.20953491589-1.10953491588771
525854.855863.51210618358-8.66210618357854
535854.955868.58880511875-13.6388051187505
545870.95868.685242529732.2147574702667
555873.65880.08310300375-6.48310300375124
565882.755884.69753040449-1.94753040448632
575867.75892.25952638504-24.559526385041
585879.055881.33370229885-2.28370229884604
595895.65885.690320216359.90967978364552
605891.55899.64739725657-8.14739725657273
615954.055900.1097092207253.9402907792792
625952.955949.842030860763.10796913923787
635960.155964.46779058748-4.31779058747907
645942.65973.43693289319-30.8369328931858
655957.555960.49863971835-2.94863971835275
665949.155966.68334017099-17.5333401709941
675940.55960.75610744232-20.2561074423247
685940.15950.68812479881-10.5881247988127
695926.25946.19074566396-19.990745663963
705926.85932.92344543617-6.12344543617382
715915.35928.64949741772-13.3494974177247
725912.055917.85860518068-5.80860518068403
7358975911.68386364311-14.6838636431112
745887.755897.69433481997-9.94433481996566
755882.65885.90955069371-3.30955069370884
765905.455878.3855841643727.0644158356345
7758725895.03988241493-23.0398824149315
785881.955874.20137453227.74862546780332
795878.45875.692417188332.70758281166854
805874.25873.967496044310.232503955687207
815896.45870.5421837877625.8578162122376
8258905887.849874201362.15012579864106
835888.55888.86175286589-0.361752865891503
845873.35888.08180553858-14.7818055385769
855898.95875.6092825856123.2907174143911
865887.655892.26634798931-4.61634798930936
875907.25888.9500569305118.2499430694934
885921.35903.600605225817.699394774203
895918.755919.82611829269-1.07611829268626
905920.955922.83845663183-1.88845663182656
915935.655925.0752599635610.5747400364417
925941.35937.174298498124.12570150188276
9359365945.23238793153-9.23238793153359
945931.45942.95271017132-11.5527101713233
955943.85937.776215253726.0237847462804
965949.855945.524291349154.32570865084654
975953.755952.566883416031.18311658396669
985963.755957.548770649896.20122935011477
995977.15966.7166320144410.3833679855616
1005973.75979.9503248641-6.25032486409691
1016005.755980.8918855736524.8581144263453
1026014.56006.279746463878.22025353613117
1036023.356020.974130357972.37586964202546
1046042.86031.8555859203510.9444140796477
1056027.76049.92405440528-22.2240544052838
1066041.156042.40108520832-1.25108520831873
1076058.456049.366232002479.08376799753387
1086073.26064.544287349388.65571265062135
1096096.16080.3818055556815.7181944443209
1106103.36102.884354433180.415645566819876
1116101.556114.76088353017-13.2108835301742
1126115.156115.67210674497-0.52210674496655
1136146.256125.3747180565420.8752819434585
1146134.36152.31031878878-18.0103187887826
1156136.656150.13370872385-13.4837087238529
1166168.056149.6216257605718.4283742394273
1176182.86173.404680243529.39531975648333
1186204.36191.9279149128312.3720850871659
1196220.856213.896457264356.95354273565044
1206229.756232.85569753618-3.1056975361771







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1216244.455877781226217.656100483316271.25565507914
1226258.221976490316223.765849412076292.67810356854
1236271.988075199396229.638460737386314.33768966139
1246285.754173908476235.210932221796336.29741559515
1256299.520272617556240.45921302656358.58133220861
1266313.286371326646245.375738536386381.19700411689
1276327.052470035726249.960635841076404.14430423037
1286340.81856874486254.217788829026427.41934866058
1296354.584667453886258.152917729116451.01641717866
1306368.350766162976261.772586033036474.9289462929
1316382.116864872056265.083667795586499.15006194852
1326395.882963581136268.093056582176523.6728705801

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 6244.45587778122 & 6217.65610048331 & 6271.25565507914 \tabularnewline
122 & 6258.22197649031 & 6223.76584941207 & 6292.67810356854 \tabularnewline
123 & 6271.98807519939 & 6229.63846073738 & 6314.33768966139 \tabularnewline
124 & 6285.75417390847 & 6235.21093222179 & 6336.29741559515 \tabularnewline
125 & 6299.52027261755 & 6240.4592130265 & 6358.58133220861 \tabularnewline
126 & 6313.28637132664 & 6245.37573853638 & 6381.19700411689 \tabularnewline
127 & 6327.05247003572 & 6249.96063584107 & 6404.14430423037 \tabularnewline
128 & 6340.8185687448 & 6254.21778882902 & 6427.41934866058 \tabularnewline
129 & 6354.58466745388 & 6258.15291772911 & 6451.01641717866 \tabularnewline
130 & 6368.35076616297 & 6261.77258603303 & 6474.9289462929 \tabularnewline
131 & 6382.11686487205 & 6265.08366779558 & 6499.15006194852 \tabularnewline
132 & 6395.88296358113 & 6268.09305658217 & 6523.6728705801 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298782&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]121[/C][C]6244.45587778122[/C][C]6217.65610048331[/C][C]6271.25565507914[/C][/ROW]
[ROW][C]122[/C][C]6258.22197649031[/C][C]6223.76584941207[/C][C]6292.67810356854[/C][/ROW]
[ROW][C]123[/C][C]6271.98807519939[/C][C]6229.63846073738[/C][C]6314.33768966139[/C][/ROW]
[ROW][C]124[/C][C]6285.75417390847[/C][C]6235.21093222179[/C][C]6336.29741559515[/C][/ROW]
[ROW][C]125[/C][C]6299.52027261755[/C][C]6240.4592130265[/C][C]6358.58133220861[/C][/ROW]
[ROW][C]126[/C][C]6313.28637132664[/C][C]6245.37573853638[/C][C]6381.19700411689[/C][/ROW]
[ROW][C]127[/C][C]6327.05247003572[/C][C]6249.96063584107[/C][C]6404.14430423037[/C][/ROW]
[ROW][C]128[/C][C]6340.8185687448[/C][C]6254.21778882902[/C][C]6427.41934866058[/C][/ROW]
[ROW][C]129[/C][C]6354.58466745388[/C][C]6258.15291772911[/C][C]6451.01641717866[/C][/ROW]
[ROW][C]130[/C][C]6368.35076616297[/C][C]6261.77258603303[/C][C]6474.9289462929[/C][/ROW]
[ROW][C]131[/C][C]6382.11686487205[/C][C]6265.08366779558[/C][C]6499.15006194852[/C][/ROW]
[ROW][C]132[/C][C]6395.88296358113[/C][C]6268.09305658217[/C][C]6523.6728705801[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298782&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298782&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
1216244.455877781226217.656100483316271.25565507914
1226258.221976490316223.765849412076292.67810356854
1236271.988075199396229.638460737386314.33768966139
1246285.754173908476235.210932221796336.29741559515
1256299.520272617556240.45921302656358.58133220861
1266313.286371326646245.375738536386381.19700411689
1276327.052470035726249.960635841076404.14430423037
1286340.81856874486254.217788829026427.41934866058
1296354.584667453886258.152917729116451.01641717866
1306368.350766162976261.772586033036474.9289462929
1316382.116864872056265.083667795586499.15006194852
1326395.882963581136268.093056582176523.6728705801



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'additive'
par2 <- 'Double'
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')