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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 05 Jun 2010 10:28:11 +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/Jun/05/t1275733736vfusfwwr7aiyabm.htm/, Retrieved Fri, 03 May 2024 03:56:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77510, Retrieved Fri, 03 May 2024 03:56:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact162
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-06-05 10:28:11] [f0cd0ad4d4cb2a25864ed1f6cd7bfd87] [Current]
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Dataseries X:
7089
77102
35123
23109
11115
48105
7896
79102
2494
76101
9484
8183
9092
49109
27127
31116
77120
80115
67117
18110
3099
3105
5786
7387
5089
288
65108
44100
68102
8798
8183
288
3680
9374
2271
4671
3466
8068
2780
9883
6479
3373
6468
460
5553
6157
2345
3744
6144
9948
2049
9549
6049
745
9643
9938
5535
6932
1827
9726
7624
9529
7631
6132
7534
2137
8738
8836
3230
633
9126
123




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77510&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77510&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77510&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0
beta0
gamma0.769366005522916

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.769366005522916 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77510&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[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.769366005522916[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77510&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77510&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
beta0
gamma0.769366005522916







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1390926099.769578111472992.23042188853
144910933007.012029395516101.9879706045
152712719441.17666573927685.82333426077
163111624225.11393938896890.8860606111
177712066085.344384459411034.6556155406
188011569059.170076988411055.8299230116
19671176678.9521176144360438.0478823856
201811069241.2740108332-51131.2740108332
2130992293.78721472168805.212785278321
22310569990.6959818707-66885.6959818707
2357867898.92425550947-2112.92425550947
2473876057.870654458711329.12934554129
2550898401.889945404-3312.88994540400
2628845395.3341953175-45107.3341953175
276510825354.387863574339753.6121364257
284410029526.727422354814573.2725776452
296810274575.0332977089-6473.03329770888
30879877565.1497825966-68767.1497825966
31818353177.9315984881-44994.9315984881
3228829902.6099678208-29614.6099678208
3336802913.29055892724766.709441072758
34937418531.1152376787-9157.11523767867
3522716273.31216107567-4002.31216107567
3646717080.4575898611-2409.4575898611
3734665853.06504137149-2387.06504137149
38806810691.2846656788-2623.28466567885
39278055939.4656380834-53159.4656380834
40988340738.9079328143-30855.9079328143
41647969594.9015258338-63115.9015258338
42337324658.0424431642-21285.0424431642
43646818560.3608057825-12092.3608057825
444607118.13579175937-6658.13579175937
4555533503.17073900212049.82926099790
46615711485.9420651528-5328.9420651528
4723453194.06924085309-849.069240853092
4837445226.70282847279-1482.70282847279
4961444016.538345568112127.46165443189
5099488673.0186210961274.98137890401
51204915040.3799043785-12991.3799043785
52954916999.4212997621-7450.42129976212
53604921035.6724839253-14986.6724839253
547458282.05436128123-7537.05436128123
5596439256.90947529575386.090524704254
5699381995.592453424317942.4075465757
5755355080.23968954004454.760310459956
5869327386.03519482315-454.035194823153
5918272540.82423060557-713.824230605574
6097264085.961675953155640.03832404685
6176245653.335020541551970.66497945845
6295299653.94595169947-124.945951699468
6376315045.253841116122585.74615888388
64613211267.3204249013-5135.32042490129
6575349505.4361388875-1971.4361388875
6621372483.30095393322-346.300953933217
6787389553.9544000577-815.954400057704
6888368106.21082176831729.789178231689
6932305430.11681306898-2200.11681306898
706337036.71595061524-6403.71595061524
7191261991.632133659097134.3678663409
721238425.21543232124-8302.21543232124

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 9092 & 6099.76957811147 & 2992.23042188853 \tabularnewline
14 & 49109 & 33007.0120293955 & 16101.9879706045 \tabularnewline
15 & 27127 & 19441.1766657392 & 7685.82333426077 \tabularnewline
16 & 31116 & 24225.1139393889 & 6890.8860606111 \tabularnewline
17 & 77120 & 66085.3443844594 & 11034.6556155406 \tabularnewline
18 & 80115 & 69059.1700769884 & 11055.8299230116 \tabularnewline
19 & 67117 & 6678.95211761443 & 60438.0478823856 \tabularnewline
20 & 18110 & 69241.2740108332 & -51131.2740108332 \tabularnewline
21 & 3099 & 2293.78721472168 & 805.212785278321 \tabularnewline
22 & 3105 & 69990.6959818707 & -66885.6959818707 \tabularnewline
23 & 5786 & 7898.92425550947 & -2112.92425550947 \tabularnewline
24 & 7387 & 6057.87065445871 & 1329.12934554129 \tabularnewline
25 & 5089 & 8401.889945404 & -3312.88994540400 \tabularnewline
26 & 288 & 45395.3341953175 & -45107.3341953175 \tabularnewline
27 & 65108 & 25354.3878635743 & 39753.6121364257 \tabularnewline
28 & 44100 & 29526.7274223548 & 14573.2725776452 \tabularnewline
29 & 68102 & 74575.0332977089 & -6473.03329770888 \tabularnewline
30 & 8798 & 77565.1497825966 & -68767.1497825966 \tabularnewline
31 & 8183 & 53177.9315984881 & -44994.9315984881 \tabularnewline
32 & 288 & 29902.6099678208 & -29614.6099678208 \tabularnewline
33 & 3680 & 2913.29055892724 & 766.709441072758 \tabularnewline
34 & 9374 & 18531.1152376787 & -9157.11523767867 \tabularnewline
35 & 2271 & 6273.31216107567 & -4002.31216107567 \tabularnewline
36 & 4671 & 7080.4575898611 & -2409.4575898611 \tabularnewline
37 & 3466 & 5853.06504137149 & -2387.06504137149 \tabularnewline
38 & 8068 & 10691.2846656788 & -2623.28466567885 \tabularnewline
39 & 2780 & 55939.4656380834 & -53159.4656380834 \tabularnewline
40 & 9883 & 40738.9079328143 & -30855.9079328143 \tabularnewline
41 & 6479 & 69594.9015258338 & -63115.9015258338 \tabularnewline
42 & 3373 & 24658.0424431642 & -21285.0424431642 \tabularnewline
43 & 6468 & 18560.3608057825 & -12092.3608057825 \tabularnewline
44 & 460 & 7118.13579175937 & -6658.13579175937 \tabularnewline
45 & 5553 & 3503.1707390021 & 2049.82926099790 \tabularnewline
46 & 6157 & 11485.9420651528 & -5328.9420651528 \tabularnewline
47 & 2345 & 3194.06924085309 & -849.069240853092 \tabularnewline
48 & 3744 & 5226.70282847279 & -1482.70282847279 \tabularnewline
49 & 6144 & 4016.53834556811 & 2127.46165443189 \tabularnewline
50 & 9948 & 8673.018621096 & 1274.98137890401 \tabularnewline
51 & 2049 & 15040.3799043785 & -12991.3799043785 \tabularnewline
52 & 9549 & 16999.4212997621 & -7450.42129976212 \tabularnewline
53 & 6049 & 21035.6724839253 & -14986.6724839253 \tabularnewline
54 & 745 & 8282.05436128123 & -7537.05436128123 \tabularnewline
55 & 9643 & 9256.90947529575 & 386.090524704254 \tabularnewline
56 & 9938 & 1995.59245342431 & 7942.4075465757 \tabularnewline
57 & 5535 & 5080.23968954004 & 454.760310459956 \tabularnewline
58 & 6932 & 7386.03519482315 & -454.035194823153 \tabularnewline
59 & 1827 & 2540.82423060557 & -713.824230605574 \tabularnewline
60 & 9726 & 4085.96167595315 & 5640.03832404685 \tabularnewline
61 & 7624 & 5653.33502054155 & 1970.66497945845 \tabularnewline
62 & 9529 & 9653.94595169947 & -124.945951699468 \tabularnewline
63 & 7631 & 5045.25384111612 & 2585.74615888388 \tabularnewline
64 & 6132 & 11267.3204249013 & -5135.32042490129 \tabularnewline
65 & 7534 & 9505.4361388875 & -1971.4361388875 \tabularnewline
66 & 2137 & 2483.30095393322 & -346.300953933217 \tabularnewline
67 & 8738 & 9553.9544000577 & -815.954400057704 \tabularnewline
68 & 8836 & 8106.21082176831 & 729.789178231689 \tabularnewline
69 & 3230 & 5430.11681306898 & -2200.11681306898 \tabularnewline
70 & 633 & 7036.71595061524 & -6403.71595061524 \tabularnewline
71 & 9126 & 1991.63213365909 & 7134.3678663409 \tabularnewline
72 & 123 & 8425.21543232124 & -8302.21543232124 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77510&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]9092[/C][C]6099.76957811147[/C][C]2992.23042188853[/C][/ROW]
[ROW][C]14[/C][C]49109[/C][C]33007.0120293955[/C][C]16101.9879706045[/C][/ROW]
[ROW][C]15[/C][C]27127[/C][C]19441.1766657392[/C][C]7685.82333426077[/C][/ROW]
[ROW][C]16[/C][C]31116[/C][C]24225.1139393889[/C][C]6890.8860606111[/C][/ROW]
[ROW][C]17[/C][C]77120[/C][C]66085.3443844594[/C][C]11034.6556155406[/C][/ROW]
[ROW][C]18[/C][C]80115[/C][C]69059.1700769884[/C][C]11055.8299230116[/C][/ROW]
[ROW][C]19[/C][C]67117[/C][C]6678.95211761443[/C][C]60438.0478823856[/C][/ROW]
[ROW][C]20[/C][C]18110[/C][C]69241.2740108332[/C][C]-51131.2740108332[/C][/ROW]
[ROW][C]21[/C][C]3099[/C][C]2293.78721472168[/C][C]805.212785278321[/C][/ROW]
[ROW][C]22[/C][C]3105[/C][C]69990.6959818707[/C][C]-66885.6959818707[/C][/ROW]
[ROW][C]23[/C][C]5786[/C][C]7898.92425550947[/C][C]-2112.92425550947[/C][/ROW]
[ROW][C]24[/C][C]7387[/C][C]6057.87065445871[/C][C]1329.12934554129[/C][/ROW]
[ROW][C]25[/C][C]5089[/C][C]8401.889945404[/C][C]-3312.88994540400[/C][/ROW]
[ROW][C]26[/C][C]288[/C][C]45395.3341953175[/C][C]-45107.3341953175[/C][/ROW]
[ROW][C]27[/C][C]65108[/C][C]25354.3878635743[/C][C]39753.6121364257[/C][/ROW]
[ROW][C]28[/C][C]44100[/C][C]29526.7274223548[/C][C]14573.2725776452[/C][/ROW]
[ROW][C]29[/C][C]68102[/C][C]74575.0332977089[/C][C]-6473.03329770888[/C][/ROW]
[ROW][C]30[/C][C]8798[/C][C]77565.1497825966[/C][C]-68767.1497825966[/C][/ROW]
[ROW][C]31[/C][C]8183[/C][C]53177.9315984881[/C][C]-44994.9315984881[/C][/ROW]
[ROW][C]32[/C][C]288[/C][C]29902.6099678208[/C][C]-29614.6099678208[/C][/ROW]
[ROW][C]33[/C][C]3680[/C][C]2913.29055892724[/C][C]766.709441072758[/C][/ROW]
[ROW][C]34[/C][C]9374[/C][C]18531.1152376787[/C][C]-9157.11523767867[/C][/ROW]
[ROW][C]35[/C][C]2271[/C][C]6273.31216107567[/C][C]-4002.31216107567[/C][/ROW]
[ROW][C]36[/C][C]4671[/C][C]7080.4575898611[/C][C]-2409.4575898611[/C][/ROW]
[ROW][C]37[/C][C]3466[/C][C]5853.06504137149[/C][C]-2387.06504137149[/C][/ROW]
[ROW][C]38[/C][C]8068[/C][C]10691.2846656788[/C][C]-2623.28466567885[/C][/ROW]
[ROW][C]39[/C][C]2780[/C][C]55939.4656380834[/C][C]-53159.4656380834[/C][/ROW]
[ROW][C]40[/C][C]9883[/C][C]40738.9079328143[/C][C]-30855.9079328143[/C][/ROW]
[ROW][C]41[/C][C]6479[/C][C]69594.9015258338[/C][C]-63115.9015258338[/C][/ROW]
[ROW][C]42[/C][C]3373[/C][C]24658.0424431642[/C][C]-21285.0424431642[/C][/ROW]
[ROW][C]43[/C][C]6468[/C][C]18560.3608057825[/C][C]-12092.3608057825[/C][/ROW]
[ROW][C]44[/C][C]460[/C][C]7118.13579175937[/C][C]-6658.13579175937[/C][/ROW]
[ROW][C]45[/C][C]5553[/C][C]3503.1707390021[/C][C]2049.82926099790[/C][/ROW]
[ROW][C]46[/C][C]6157[/C][C]11485.9420651528[/C][C]-5328.9420651528[/C][/ROW]
[ROW][C]47[/C][C]2345[/C][C]3194.06924085309[/C][C]-849.069240853092[/C][/ROW]
[ROW][C]48[/C][C]3744[/C][C]5226.70282847279[/C][C]-1482.70282847279[/C][/ROW]
[ROW][C]49[/C][C]6144[/C][C]4016.53834556811[/C][C]2127.46165443189[/C][/ROW]
[ROW][C]50[/C][C]9948[/C][C]8673.018621096[/C][C]1274.98137890401[/C][/ROW]
[ROW][C]51[/C][C]2049[/C][C]15040.3799043785[/C][C]-12991.3799043785[/C][/ROW]
[ROW][C]52[/C][C]9549[/C][C]16999.4212997621[/C][C]-7450.42129976212[/C][/ROW]
[ROW][C]53[/C][C]6049[/C][C]21035.6724839253[/C][C]-14986.6724839253[/C][/ROW]
[ROW][C]54[/C][C]745[/C][C]8282.05436128123[/C][C]-7537.05436128123[/C][/ROW]
[ROW][C]55[/C][C]9643[/C][C]9256.90947529575[/C][C]386.090524704254[/C][/ROW]
[ROW][C]56[/C][C]9938[/C][C]1995.59245342431[/C][C]7942.4075465757[/C][/ROW]
[ROW][C]57[/C][C]5535[/C][C]5080.23968954004[/C][C]454.760310459956[/C][/ROW]
[ROW][C]58[/C][C]6932[/C][C]7386.03519482315[/C][C]-454.035194823153[/C][/ROW]
[ROW][C]59[/C][C]1827[/C][C]2540.82423060557[/C][C]-713.824230605574[/C][/ROW]
[ROW][C]60[/C][C]9726[/C][C]4085.96167595315[/C][C]5640.03832404685[/C][/ROW]
[ROW][C]61[/C][C]7624[/C][C]5653.33502054155[/C][C]1970.66497945845[/C][/ROW]
[ROW][C]62[/C][C]9529[/C][C]9653.94595169947[/C][C]-124.945951699468[/C][/ROW]
[ROW][C]63[/C][C]7631[/C][C]5045.25384111612[/C][C]2585.74615888388[/C][/ROW]
[ROW][C]64[/C][C]6132[/C][C]11267.3204249013[/C][C]-5135.32042490129[/C][/ROW]
[ROW][C]65[/C][C]7534[/C][C]9505.4361388875[/C][C]-1971.4361388875[/C][/ROW]
[ROW][C]66[/C][C]2137[/C][C]2483.30095393322[/C][C]-346.300953933217[/C][/ROW]
[ROW][C]67[/C][C]8738[/C][C]9553.9544000577[/C][C]-815.954400057704[/C][/ROW]
[ROW][C]68[/C][C]8836[/C][C]8106.21082176831[/C][C]729.789178231689[/C][/ROW]
[ROW][C]69[/C][C]3230[/C][C]5430.11681306898[/C][C]-2200.11681306898[/C][/ROW]
[ROW][C]70[/C][C]633[/C][C]7036.71595061524[/C][C]-6403.71595061524[/C][/ROW]
[ROW][C]71[/C][C]9126[/C][C]1991.63213365909[/C][C]7134.3678663409[/C][/ROW]
[ROW][C]72[/C][C]123[/C][C]8425.21543232124[/C][C]-8302.21543232124[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77510&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77510&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
1390926099.769578111472992.23042188853
144910933007.012029395516101.9879706045
152712719441.17666573927685.82333426077
163111624225.11393938896890.8860606111
177712066085.344384459411034.6556155406
188011569059.170076988411055.8299230116
19671176678.9521176144360438.0478823856
201811069241.2740108332-51131.2740108332
2130992293.78721472168805.212785278321
22310569990.6959818707-66885.6959818707
2357867898.92425550947-2112.92425550947
2473876057.870654458711329.12934554129
2550898401.889945404-3312.88994540400
2628845395.3341953175-45107.3341953175
276510825354.387863574339753.6121364257
284410029526.727422354814573.2725776452
296810274575.0332977089-6473.03329770888
30879877565.1497825966-68767.1497825966
31818353177.9315984881-44994.9315984881
3228829902.6099678208-29614.6099678208
3336802913.29055892724766.709441072758
34937418531.1152376787-9157.11523767867
3522716273.31216107567-4002.31216107567
3646717080.4575898611-2409.4575898611
3734665853.06504137149-2387.06504137149
38806810691.2846656788-2623.28466567885
39278055939.4656380834-53159.4656380834
40988340738.9079328143-30855.9079328143
41647969594.9015258338-63115.9015258338
42337324658.0424431642-21285.0424431642
43646818560.3608057825-12092.3608057825
444607118.13579175937-6658.13579175937
4555533503.17073900212049.82926099790
46615711485.9420651528-5328.9420651528
4723453194.06924085309-849.069240853092
4837445226.70282847279-1482.70282847279
4961444016.538345568112127.46165443189
5099488673.0186210961274.98137890401
51204915040.3799043785-12991.3799043785
52954916999.4212997621-7450.42129976212
53604921035.6724839253-14986.6724839253
547458282.05436128123-7537.05436128123
5596439256.90947529575386.090524704254
5699381995.592453424317942.4075465757
5755355080.23968954004454.760310459956
5869327386.03519482315-454.035194823153
5918272540.82423060557-713.824230605574
6097264085.961675953155640.03832404685
6176245653.335020541551970.66497945845
6295299653.94595169947-124.945951699468
6376315045.253841116122585.74615888388
64613211267.3204249013-5135.32042490129
6575349505.4361388875-1971.4361388875
6621372483.30095393322-346.300953933217
6787389553.9544000577-815.954400057704
6888368106.21082176831729.789178231689
6932305430.11681306898-2200.11681306898
706337036.71595061524-6403.71595061524
7191261991.632133659097134.3678663409
721238425.21543232124-8302.21543232124







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
737169.4976640114-26616.704934043240955.700262066
749557.81678393419-24228.385814120443344.0193819888
757034.63903467283-26751.563563381840820.8416327274
767316.37946251474-26469.823135539941102.5820605693
777988.6801915681-25797.522406486541774.8827896227
782216.86877229684-31569.333825757836003.0713703514
798926.18682259646-24860.015775458142712.3894206511
808667.68580669828-25118.516791356342453.8884047529
813737.42172891429-30048.780869140337523.6243269689
822109.91458918701-31676.288008867635896.1171872416
837480.57224091685-26305.630357137841266.7748389714
842037.77310816554NANA

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 7169.4976640114 & -26616.7049340432 & 40955.700262066 \tabularnewline
74 & 9557.81678393419 & -24228.3858141204 & 43344.0193819888 \tabularnewline
75 & 7034.63903467283 & -26751.5635633818 & 40820.8416327274 \tabularnewline
76 & 7316.37946251474 & -26469.8231355399 & 41102.5820605693 \tabularnewline
77 & 7988.6801915681 & -25797.5224064865 & 41774.8827896227 \tabularnewline
78 & 2216.86877229684 & -31569.3338257578 & 36003.0713703514 \tabularnewline
79 & 8926.18682259646 & -24860.0157754581 & 42712.3894206511 \tabularnewline
80 & 8667.68580669828 & -25118.5167913563 & 42453.8884047529 \tabularnewline
81 & 3737.42172891429 & -30048.7808691403 & 37523.6243269689 \tabularnewline
82 & 2109.91458918701 & -31676.2880088676 & 35896.1171872416 \tabularnewline
83 & 7480.57224091685 & -26305.6303571378 & 41266.7748389714 \tabularnewline
84 & 2037.77310816554 & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77510&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]73[/C][C]7169.4976640114[/C][C]-26616.7049340432[/C][C]40955.700262066[/C][/ROW]
[ROW][C]74[/C][C]9557.81678393419[/C][C]-24228.3858141204[/C][C]43344.0193819888[/C][/ROW]
[ROW][C]75[/C][C]7034.63903467283[/C][C]-26751.5635633818[/C][C]40820.8416327274[/C][/ROW]
[ROW][C]76[/C][C]7316.37946251474[/C][C]-26469.8231355399[/C][C]41102.5820605693[/C][/ROW]
[ROW][C]77[/C][C]7988.6801915681[/C][C]-25797.5224064865[/C][C]41774.8827896227[/C][/ROW]
[ROW][C]78[/C][C]2216.86877229684[/C][C]-31569.3338257578[/C][C]36003.0713703514[/C][/ROW]
[ROW][C]79[/C][C]8926.18682259646[/C][C]-24860.0157754581[/C][C]42712.3894206511[/C][/ROW]
[ROW][C]80[/C][C]8667.68580669828[/C][C]-25118.5167913563[/C][C]42453.8884047529[/C][/ROW]
[ROW][C]81[/C][C]3737.42172891429[/C][C]-30048.7808691403[/C][C]37523.6243269689[/C][/ROW]
[ROW][C]82[/C][C]2109.91458918701[/C][C]-31676.2880088676[/C][C]35896.1171872416[/C][/ROW]
[ROW][C]83[/C][C]7480.57224091685[/C][C]-26305.6303571378[/C][C]41266.7748389714[/C][/ROW]
[ROW][C]84[/C][C]2037.77310816554[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77510&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77510&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
737169.4976640114-26616.704934043240955.700262066
749557.81678393419-24228.385814120443344.0193819888
757034.63903467283-26751.563563381840820.8416327274
767316.37946251474-26469.823135539941102.5820605693
777988.6801915681-25797.522406486541774.8827896227
782216.86877229684-31569.333825757836003.0713703514
798926.18682259646-24860.015775458142712.3894206511
808667.68580669828-25118.516791356342453.8884047529
813737.42172891429-30048.780869140337523.6243269689
822109.91458918701-31676.288008867635896.1171872416
837480.57224091685-26305.630357137841266.7748389714
842037.77310816554NANA



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
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')