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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 25 Apr 2016 16:09:04 +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/Apr/25/t146159713062ibj4nsstncmn1.htm/, Retrieved Mon, 06 May 2024 05:55:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294736, Retrieved Mon, 06 May 2024 05:55:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2016-04-25 15:09:04] [45930f35caeb32be6f319da4f3b0c690] [Current]
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Dataseries X:
726
784
884
696
893
674
703
799
793
799
1022
758
1021
944
915
864
1022
891
1087
822
890
1092
967
833
1104
1063
1103
1039
1185
1047
1155
878
879
1133
920
943
938
900
781
1040
792
653
866
679
799
760
699
762
671
679
862
624
516
650
583
444
562
540
524
674




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294736&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294736&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294736&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.282609341748061
beta0.217645846493098
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.282609341748061 \tabularnewline
beta & 0.217645846493098 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294736&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]0.282609341748061[/C][/ROW]
[ROW][C]beta[/C][C]0.217645846493098[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294736&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294736&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
alpha0.282609341748061
beta0.217645846493098
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
388484242
4696914.452959828706-218.452959828706
5893899.862711759559-6.86271175955858
6674944.647727599639-270.647727599639
7703898.237430494403-195.237430494403
8799861.129977627056-62.1299776270563
9793857.8183971715-64.8183971714996
10799849.760145689261-50.7601456892608
111022842.552694323249179.447305676751
12758911.441598610744-153.441598610744
131021876.814987944052144.185012055948
14944935.169077580048.8309224199603
15915955.814016035296-40.8140160352957
16864959.918412027792-95.9184120277922
171022942.54996937204779.4500306279526
18891979.629158883265-88.6291588832648
191087963.756130560857123.243869439143
208221015.34097558866-193.340975588662
21890965.563824337268-75.5638243372683
221092944.423759938248147.576240061752
23967995.422392225722-28.4223922257216
24833994.933941092783-161.933941092783
251104946.753524814848157.246475185152
261063998.44850991811664.5514900818839
2711031027.917507725675.0824922744041
2810391064.98089533316-25.9808953331572
2911851071.88477311358113.11522688642
3010471125.05609057938-78.0560905793795
3111551119.3994753395635.6005246604373
328781148.05302506824-270.053025068244
338791073.71540245837-194.715402458374
3411331008.69219488675124.307805113251
359201041.47394364391-121.473943643915
36943997.323763811497-54.3237638114966
37938968.809465324405-30.8094653244051
38900945.045475572273-45.0454755722733
39781914.487565465771-133.487565465771
401040850.724441337844189.275558662156
41792889.819294167751-97.8192941677514
42653841.761717167557-188.761717167557
43866756.392464706649109.607535293351
44679762.086972703563-83.0869727035628
45799708.21363685360990.7863631463911
46760709.06268565651350.9373143434868
47699701.783111511597-2.78311151159653
48762679.15045746879882.8495425312021
49671685.814363167593-14.8143631675925
50679663.96632381253815.033676187462
51862651.478321833436210.521678166564
52624707.185980561351-83.1859805613506
53516674.772445556898-158.772445556898
54650611.23157486776238.7684251322376
55583605.902196958964-22.9021969589642
56444581.735439642054-137.735439642054
57562516.64380055763845.3561994423619
58540506.08537218020633.9146278197937
59524494.37949512191329.620504878087
60674483.28197901767190.71802098233

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 884 & 842 & 42 \tabularnewline
4 & 696 & 914.452959828706 & -218.452959828706 \tabularnewline
5 & 893 & 899.862711759559 & -6.86271175955858 \tabularnewline
6 & 674 & 944.647727599639 & -270.647727599639 \tabularnewline
7 & 703 & 898.237430494403 & -195.237430494403 \tabularnewline
8 & 799 & 861.129977627056 & -62.1299776270563 \tabularnewline
9 & 793 & 857.8183971715 & -64.8183971714996 \tabularnewline
10 & 799 & 849.760145689261 & -50.7601456892608 \tabularnewline
11 & 1022 & 842.552694323249 & 179.447305676751 \tabularnewline
12 & 758 & 911.441598610744 & -153.441598610744 \tabularnewline
13 & 1021 & 876.814987944052 & 144.185012055948 \tabularnewline
14 & 944 & 935.16907758004 & 8.8309224199603 \tabularnewline
15 & 915 & 955.814016035296 & -40.8140160352957 \tabularnewline
16 & 864 & 959.918412027792 & -95.9184120277922 \tabularnewline
17 & 1022 & 942.549969372047 & 79.4500306279526 \tabularnewline
18 & 891 & 979.629158883265 & -88.6291588832648 \tabularnewline
19 & 1087 & 963.756130560857 & 123.243869439143 \tabularnewline
20 & 822 & 1015.34097558866 & -193.340975588662 \tabularnewline
21 & 890 & 965.563824337268 & -75.5638243372683 \tabularnewline
22 & 1092 & 944.423759938248 & 147.576240061752 \tabularnewline
23 & 967 & 995.422392225722 & -28.4223922257216 \tabularnewline
24 & 833 & 994.933941092783 & -161.933941092783 \tabularnewline
25 & 1104 & 946.753524814848 & 157.246475185152 \tabularnewline
26 & 1063 & 998.448509918116 & 64.5514900818839 \tabularnewline
27 & 1103 & 1027.9175077256 & 75.0824922744041 \tabularnewline
28 & 1039 & 1064.98089533316 & -25.9808953331572 \tabularnewline
29 & 1185 & 1071.88477311358 & 113.11522688642 \tabularnewline
30 & 1047 & 1125.05609057938 & -78.0560905793795 \tabularnewline
31 & 1155 & 1119.39947533956 & 35.6005246604373 \tabularnewline
32 & 878 & 1148.05302506824 & -270.053025068244 \tabularnewline
33 & 879 & 1073.71540245837 & -194.715402458374 \tabularnewline
34 & 1133 & 1008.69219488675 & 124.307805113251 \tabularnewline
35 & 920 & 1041.47394364391 & -121.473943643915 \tabularnewline
36 & 943 & 997.323763811497 & -54.3237638114966 \tabularnewline
37 & 938 & 968.809465324405 & -30.8094653244051 \tabularnewline
38 & 900 & 945.045475572273 & -45.0454755722733 \tabularnewline
39 & 781 & 914.487565465771 & -133.487565465771 \tabularnewline
40 & 1040 & 850.724441337844 & 189.275558662156 \tabularnewline
41 & 792 & 889.819294167751 & -97.8192941677514 \tabularnewline
42 & 653 & 841.761717167557 & -188.761717167557 \tabularnewline
43 & 866 & 756.392464706649 & 109.607535293351 \tabularnewline
44 & 679 & 762.086972703563 & -83.0869727035628 \tabularnewline
45 & 799 & 708.213636853609 & 90.7863631463911 \tabularnewline
46 & 760 & 709.062685656513 & 50.9373143434868 \tabularnewline
47 & 699 & 701.783111511597 & -2.78311151159653 \tabularnewline
48 & 762 & 679.150457468798 & 82.8495425312021 \tabularnewline
49 & 671 & 685.814363167593 & -14.8143631675925 \tabularnewline
50 & 679 & 663.966323812538 & 15.033676187462 \tabularnewline
51 & 862 & 651.478321833436 & 210.521678166564 \tabularnewline
52 & 624 & 707.185980561351 & -83.1859805613506 \tabularnewline
53 & 516 & 674.772445556898 & -158.772445556898 \tabularnewline
54 & 650 & 611.231574867762 & 38.7684251322376 \tabularnewline
55 & 583 & 605.902196958964 & -22.9021969589642 \tabularnewline
56 & 444 & 581.735439642054 & -137.735439642054 \tabularnewline
57 & 562 & 516.643800557638 & 45.3561994423619 \tabularnewline
58 & 540 & 506.085372180206 & 33.9146278197937 \tabularnewline
59 & 524 & 494.379495121913 & 29.620504878087 \tabularnewline
60 & 674 & 483.28197901767 & 190.71802098233 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294736&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]884[/C][C]842[/C][C]42[/C][/ROW]
[ROW][C]4[/C][C]696[/C][C]914.452959828706[/C][C]-218.452959828706[/C][/ROW]
[ROW][C]5[/C][C]893[/C][C]899.862711759559[/C][C]-6.86271175955858[/C][/ROW]
[ROW][C]6[/C][C]674[/C][C]944.647727599639[/C][C]-270.647727599639[/C][/ROW]
[ROW][C]7[/C][C]703[/C][C]898.237430494403[/C][C]-195.237430494403[/C][/ROW]
[ROW][C]8[/C][C]799[/C][C]861.129977627056[/C][C]-62.1299776270563[/C][/ROW]
[ROW][C]9[/C][C]793[/C][C]857.8183971715[/C][C]-64.8183971714996[/C][/ROW]
[ROW][C]10[/C][C]799[/C][C]849.760145689261[/C][C]-50.7601456892608[/C][/ROW]
[ROW][C]11[/C][C]1022[/C][C]842.552694323249[/C][C]179.447305676751[/C][/ROW]
[ROW][C]12[/C][C]758[/C][C]911.441598610744[/C][C]-153.441598610744[/C][/ROW]
[ROW][C]13[/C][C]1021[/C][C]876.814987944052[/C][C]144.185012055948[/C][/ROW]
[ROW][C]14[/C][C]944[/C][C]935.16907758004[/C][C]8.8309224199603[/C][/ROW]
[ROW][C]15[/C][C]915[/C][C]955.814016035296[/C][C]-40.8140160352957[/C][/ROW]
[ROW][C]16[/C][C]864[/C][C]959.918412027792[/C][C]-95.9184120277922[/C][/ROW]
[ROW][C]17[/C][C]1022[/C][C]942.549969372047[/C][C]79.4500306279526[/C][/ROW]
[ROW][C]18[/C][C]891[/C][C]979.629158883265[/C][C]-88.6291588832648[/C][/ROW]
[ROW][C]19[/C][C]1087[/C][C]963.756130560857[/C][C]123.243869439143[/C][/ROW]
[ROW][C]20[/C][C]822[/C][C]1015.34097558866[/C][C]-193.340975588662[/C][/ROW]
[ROW][C]21[/C][C]890[/C][C]965.563824337268[/C][C]-75.5638243372683[/C][/ROW]
[ROW][C]22[/C][C]1092[/C][C]944.423759938248[/C][C]147.576240061752[/C][/ROW]
[ROW][C]23[/C][C]967[/C][C]995.422392225722[/C][C]-28.4223922257216[/C][/ROW]
[ROW][C]24[/C][C]833[/C][C]994.933941092783[/C][C]-161.933941092783[/C][/ROW]
[ROW][C]25[/C][C]1104[/C][C]946.753524814848[/C][C]157.246475185152[/C][/ROW]
[ROW][C]26[/C][C]1063[/C][C]998.448509918116[/C][C]64.5514900818839[/C][/ROW]
[ROW][C]27[/C][C]1103[/C][C]1027.9175077256[/C][C]75.0824922744041[/C][/ROW]
[ROW][C]28[/C][C]1039[/C][C]1064.98089533316[/C][C]-25.9808953331572[/C][/ROW]
[ROW][C]29[/C][C]1185[/C][C]1071.88477311358[/C][C]113.11522688642[/C][/ROW]
[ROW][C]30[/C][C]1047[/C][C]1125.05609057938[/C][C]-78.0560905793795[/C][/ROW]
[ROW][C]31[/C][C]1155[/C][C]1119.39947533956[/C][C]35.6005246604373[/C][/ROW]
[ROW][C]32[/C][C]878[/C][C]1148.05302506824[/C][C]-270.053025068244[/C][/ROW]
[ROW][C]33[/C][C]879[/C][C]1073.71540245837[/C][C]-194.715402458374[/C][/ROW]
[ROW][C]34[/C][C]1133[/C][C]1008.69219488675[/C][C]124.307805113251[/C][/ROW]
[ROW][C]35[/C][C]920[/C][C]1041.47394364391[/C][C]-121.473943643915[/C][/ROW]
[ROW][C]36[/C][C]943[/C][C]997.323763811497[/C][C]-54.3237638114966[/C][/ROW]
[ROW][C]37[/C][C]938[/C][C]968.809465324405[/C][C]-30.8094653244051[/C][/ROW]
[ROW][C]38[/C][C]900[/C][C]945.045475572273[/C][C]-45.0454755722733[/C][/ROW]
[ROW][C]39[/C][C]781[/C][C]914.487565465771[/C][C]-133.487565465771[/C][/ROW]
[ROW][C]40[/C][C]1040[/C][C]850.724441337844[/C][C]189.275558662156[/C][/ROW]
[ROW][C]41[/C][C]792[/C][C]889.819294167751[/C][C]-97.8192941677514[/C][/ROW]
[ROW][C]42[/C][C]653[/C][C]841.761717167557[/C][C]-188.761717167557[/C][/ROW]
[ROW][C]43[/C][C]866[/C][C]756.392464706649[/C][C]109.607535293351[/C][/ROW]
[ROW][C]44[/C][C]679[/C][C]762.086972703563[/C][C]-83.0869727035628[/C][/ROW]
[ROW][C]45[/C][C]799[/C][C]708.213636853609[/C][C]90.7863631463911[/C][/ROW]
[ROW][C]46[/C][C]760[/C][C]709.062685656513[/C][C]50.9373143434868[/C][/ROW]
[ROW][C]47[/C][C]699[/C][C]701.783111511597[/C][C]-2.78311151159653[/C][/ROW]
[ROW][C]48[/C][C]762[/C][C]679.150457468798[/C][C]82.8495425312021[/C][/ROW]
[ROW][C]49[/C][C]671[/C][C]685.814363167593[/C][C]-14.8143631675925[/C][/ROW]
[ROW][C]50[/C][C]679[/C][C]663.966323812538[/C][C]15.033676187462[/C][/ROW]
[ROW][C]51[/C][C]862[/C][C]651.478321833436[/C][C]210.521678166564[/C][/ROW]
[ROW][C]52[/C][C]624[/C][C]707.185980561351[/C][C]-83.1859805613506[/C][/ROW]
[ROW][C]53[/C][C]516[/C][C]674.772445556898[/C][C]-158.772445556898[/C][/ROW]
[ROW][C]54[/C][C]650[/C][C]611.231574867762[/C][C]38.7684251322376[/C][/ROW]
[ROW][C]55[/C][C]583[/C][C]605.902196958964[/C][C]-22.9021969589642[/C][/ROW]
[ROW][C]56[/C][C]444[/C][C]581.735439642054[/C][C]-137.735439642054[/C][/ROW]
[ROW][C]57[/C][C]562[/C][C]516.643800557638[/C][C]45.3561994423619[/C][/ROW]
[ROW][C]58[/C][C]540[/C][C]506.085372180206[/C][C]33.9146278197937[/C][/ROW]
[ROW][C]59[/C][C]524[/C][C]494.379495121913[/C][C]29.620504878087[/C][/ROW]
[ROW][C]60[/C][C]674[/C][C]483.28197901767[/C][C]190.71802098233[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294736&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294736&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
388484242
4696914.452959828706-218.452959828706
5893899.862711759559-6.86271175955858
6674944.647727599639-270.647727599639
7703898.237430494403-195.237430494403
8799861.129977627056-62.1299776270563
9793857.8183971715-64.8183971714996
10799849.760145689261-50.7601456892608
111022842.552694323249179.447305676751
12758911.441598610744-153.441598610744
131021876.814987944052144.185012055948
14944935.169077580048.8309224199603
15915955.814016035296-40.8140160352957
16864959.918412027792-95.9184120277922
171022942.54996937204779.4500306279526
18891979.629158883265-88.6291588832648
191087963.756130560857123.243869439143
208221015.34097558866-193.340975588662
21890965.563824337268-75.5638243372683
221092944.423759938248147.576240061752
23967995.422392225722-28.4223922257216
24833994.933941092783-161.933941092783
251104946.753524814848157.246475185152
261063998.44850991811664.5514900818839
2711031027.917507725675.0824922744041
2810391064.98089533316-25.9808953331572
2911851071.88477311358113.11522688642
3010471125.05609057938-78.0560905793795
3111551119.3994753395635.6005246604373
328781148.05302506824-270.053025068244
338791073.71540245837-194.715402458374
3411331008.69219488675124.307805113251
359201041.47394364391-121.473943643915
36943997.323763811497-54.3237638114966
37938968.809465324405-30.8094653244051
38900945.045475572273-45.0454755722733
39781914.487565465771-133.487565465771
401040850.724441337844189.275558662156
41792889.819294167751-97.8192941677514
42653841.761717167557-188.761717167557
43866756.392464706649109.607535293351
44679762.086972703563-83.0869727035628
45799708.21363685360990.7863631463911
46760709.06268565651350.9373143434868
47699701.783111511597-2.78311151159653
48762679.15045746879882.8495425312021
49671685.814363167593-14.8143631675925
50679663.96632381253815.033676187462
51862651.478321833436210.521678166564
52624707.185980561351-83.1859805613506
53516674.772445556898-158.772445556898
54650611.23157486776238.7684251322376
55583605.902196958964-22.9021969589642
56444581.735439642054-137.735439642054
57562516.64380055763845.3561994423619
58540506.08537218020633.9146278197937
59524494.37949512191329.620504878087
60674483.28197901767190.71802098233







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61529.442952857777291.974271949479766.911633766074
62521.705232328574270.569638484775772.840826172373
63513.967511799371244.992910682152782.94211291659
64506.229791270168215.278219699155797.181362841181
65498.492070740965181.613192791756815.370948690175
66490.754350211762144.268782181956837.239918241569
67483.01662968256103.543853818398862.489405546721
68475.27890915335759.7299547179738890.82786358874
69467.54118862415413.0931932292478921.98918401906
70459.803468094951-36.1324375572057955.739373747108
71452.065747565748-87.7452873869618991.876782518458
72444.328027036545-141.5732165857641030.22927065885

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 529.442952857777 & 291.974271949479 & 766.911633766074 \tabularnewline
62 & 521.705232328574 & 270.569638484775 & 772.840826172373 \tabularnewline
63 & 513.967511799371 & 244.992910682152 & 782.94211291659 \tabularnewline
64 & 506.229791270168 & 215.278219699155 & 797.181362841181 \tabularnewline
65 & 498.492070740965 & 181.613192791756 & 815.370948690175 \tabularnewline
66 & 490.754350211762 & 144.268782181956 & 837.239918241569 \tabularnewline
67 & 483.01662968256 & 103.543853818398 & 862.489405546721 \tabularnewline
68 & 475.278909153357 & 59.7299547179738 & 890.82786358874 \tabularnewline
69 & 467.541188624154 & 13.0931932292478 & 921.98918401906 \tabularnewline
70 & 459.803468094951 & -36.1324375572057 & 955.739373747108 \tabularnewline
71 & 452.065747565748 & -87.7452873869618 & 991.876782518458 \tabularnewline
72 & 444.328027036545 & -141.573216585764 & 1030.22927065885 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294736&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]61[/C][C]529.442952857777[/C][C]291.974271949479[/C][C]766.911633766074[/C][/ROW]
[ROW][C]62[/C][C]521.705232328574[/C][C]270.569638484775[/C][C]772.840826172373[/C][/ROW]
[ROW][C]63[/C][C]513.967511799371[/C][C]244.992910682152[/C][C]782.94211291659[/C][/ROW]
[ROW][C]64[/C][C]506.229791270168[/C][C]215.278219699155[/C][C]797.181362841181[/C][/ROW]
[ROW][C]65[/C][C]498.492070740965[/C][C]181.613192791756[/C][C]815.370948690175[/C][/ROW]
[ROW][C]66[/C][C]490.754350211762[/C][C]144.268782181956[/C][C]837.239918241569[/C][/ROW]
[ROW][C]67[/C][C]483.01662968256[/C][C]103.543853818398[/C][C]862.489405546721[/C][/ROW]
[ROW][C]68[/C][C]475.278909153357[/C][C]59.7299547179738[/C][C]890.82786358874[/C][/ROW]
[ROW][C]69[/C][C]467.541188624154[/C][C]13.0931932292478[/C][C]921.98918401906[/C][/ROW]
[ROW][C]70[/C][C]459.803468094951[/C][C]-36.1324375572057[/C][C]955.739373747108[/C][/ROW]
[ROW][C]71[/C][C]452.065747565748[/C][C]-87.7452873869618[/C][C]991.876782518458[/C][/ROW]
[ROW][C]72[/C][C]444.328027036545[/C][C]-141.573216585764[/C][C]1030.22927065885[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294736&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294736&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
61529.442952857777291.974271949479766.911633766074
62521.705232328574270.569638484775772.840826172373
63513.967511799371244.992910682152782.94211291659
64506.229791270168215.278219699155797.181362841181
65498.492070740965181.613192791756815.370948690175
66490.754350211762144.268782181956837.239918241569
67483.01662968256103.543853818398862.489405546721
68475.27890915335759.7299547179738890.82786358874
69467.54118862415413.0931932292478921.98918401906
70459.803468094951-36.1324375572057955.739373747108
71452.065747565748-87.7452873869618991.876782518458
72444.328027036545-141.5732165857641030.22927065885



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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')