Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 31 Dec 2015 14:35:45 +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/2015/Dec/31/t14515725606u5yiuxouz3jwbh.htm/, Retrieved Thu, 16 May 2024 16:47:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=287230, Retrieved Thu, 16 May 2024 16:47:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 Verb Ru...] [2015-12-31 14:35:45] [bcb0da8ff6be95621a49a67fe6a7b572] [Current]
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Dataseries X:
2754542000
2899512000
2928886000
3011252000
2932895000
3069307000
2863923000
2585491000
2993900000
3023542000
2491370000
2341705000
2126472000
2196705000
2368313000
2285174000
2163877000
2299241000
2275643000
2163091000
2416149000
2434553000
2281937000
2440464000
2255745000
2389872000
2863148000
2623516000
2558136000
2898129000
2537720000
2543469000
2779739000
2884779000
2711624000
2817771000
2884477000
3058996000
3285298000
2879617000
3220416000
3144280000
2940811000
2986507000
3153720000
2995806000
2990242000
2879837000
2848699000
3138385000
3532447000
3121872000
3309250000
3215022000
2966778000
3010284000
3083824000
3257727000
3180374000
3036414000
2966714000
3067677000
3339789000
3299861000
3193328000
3181266000
3193356000
2898282000
2929524000
3217311000
3126249000
3131083000
3008058000
2868318000
3207495000
3109336000
3070725000
2989963000
3287552000
2835238000
3368961000
3291689000
3008536000
2974109000




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287230&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287230&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287230&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.749036793212349
beta0.0208156598207456
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.749036793212349 \tabularnewline
beta & 0.0208156598207456 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287230&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]0.749036793212349[/C][/ROW]
[ROW][C]beta[/C][C]0.0208156598207456[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287230&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287230&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
alpha0.749036793212349
beta0.0208156598207456
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1321264720002442110904.32012-315638904.320121
1421967050002267241318.2864-70536318.2864046
1523683130002372130899.10651-3817899.10651398
1622851740002277521985.646287652014.35371637
1721638770002139375568.1211824501431.878818
1822992410002240124999.7602459116000.2397623
1922756430002264592589.0677311050410.9322724
2021630910002040845450.91742122245549.082575
2124161490002457790830.12973-41641830.1297302
2224345530002438187444.56496-3634444.56495571
2322819370002002765976.75042279171023.249581
2424404640002085608680.94087354855319.059133
2522557450002069387206.41447186357793.585526
2623898720002352475981.9287237396018.0712843
2728631480002591808800.78141271339199.218585
2826235160002721806732.05112-98290732.0511198
2925581360002513982255.4312944153744.5687127
3028981290002684832097.24044213296902.759563
3125377200002842096689.30471-304376689.304705
3225434690002403250193.56113140218806.438875
3327797390002867465452.64726-87726452.647265
3428847790002856371094.3189228407905.6810842
3527116240002470152190.00141241471809.998595
3628177710002539279058.01303278491941.986966
3728844770002397655248.09277486821751.907227
3830589960002919666611.23042139329388.769579
3932852980003393832424.49237-108534424.492374
4028796170003141867526.07617-262250526.076171
4132204160002852904840.77839367511159.221614
4231442800003373719502.3235-229439502.323503
4329408110003064647154.27319-123836154.273192
4429865070002875431185.59909111075814.400912
4531537200003332430775.04956-178710775.049556
4629958060003317275412.42422-321469412.424222
4729902420002706383383.86926283858616.130741
4828798370002815169277.7391264667722.26088
4928486990002550446212.8796298252787.120396
5031383850002841884245.22839296500754.771614
5135324470003376772739.52748155674260.472517
5231218720003276208301.90169-154336301.901687
5333092500003236535358.7829372714641.2170715
5432150220003392234522.01134-177212522.011338
5529667780003151194389.1895-184416389.189496
5630102840002980111314.82330172685.1769972
5730838240003308605580.17675-224781580.176754
5832577270003220696672.7955337030327.2044692
5931803740003017767880.36571162606119.634294
6030364140002980465662.9786355948337.0213704
6129667140002756020792.37266210693207.627345
6230676770002982581903.0088285095096.9911823
6333397890003315506837.6645224282162.3354831
6432998610003052953500.32657246907499.673432
6531933280003381802183.34952-188474183.349522
6631812660003278239075.72393-96973075.7239265
6731933560003096669737.7164496686262.2835579
6828982820003199875752.44701-301593752.447007
6929295240003212227961.40008-282703961.40008
7032173110003143607207.3552173703792.644794
7131262490003003378547.95243122870452.047573
7231310830002915189261.36848215893738.631519
7330080580002847150416.95832160907583.041682
7428683180003007190087.04969-138872087.049695
7532074950003142044498.1135265450501.8864827
7631093360002972224163.17413137111836.825866
7730707250003102914686.18921-32189686.189209
7829899630003136770378.4171-146807378.417105
7932875520002968017694.21262319534305.78738
8028352380003135167460.53279-299929460.532795
8133689610003152740812.79405216220187.205946
8232916890003591874812.91386-300185812.913858
8330085360003180910123.49209-172374123.492085
8429741090002896491052.297477617947.7026019

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2126472000 & 2442110904.32012 & -315638904.320121 \tabularnewline
14 & 2196705000 & 2267241318.2864 & -70536318.2864046 \tabularnewline
15 & 2368313000 & 2372130899.10651 & -3817899.10651398 \tabularnewline
16 & 2285174000 & 2277521985.64628 & 7652014.35371637 \tabularnewline
17 & 2163877000 & 2139375568.12118 & 24501431.878818 \tabularnewline
18 & 2299241000 & 2240124999.76024 & 59116000.2397623 \tabularnewline
19 & 2275643000 & 2264592589.06773 & 11050410.9322724 \tabularnewline
20 & 2163091000 & 2040845450.91742 & 122245549.082575 \tabularnewline
21 & 2416149000 & 2457790830.12973 & -41641830.1297302 \tabularnewline
22 & 2434553000 & 2438187444.56496 & -3634444.56495571 \tabularnewline
23 & 2281937000 & 2002765976.75042 & 279171023.249581 \tabularnewline
24 & 2440464000 & 2085608680.94087 & 354855319.059133 \tabularnewline
25 & 2255745000 & 2069387206.41447 & 186357793.585526 \tabularnewline
26 & 2389872000 & 2352475981.92872 & 37396018.0712843 \tabularnewline
27 & 2863148000 & 2591808800.78141 & 271339199.218585 \tabularnewline
28 & 2623516000 & 2721806732.05112 & -98290732.0511198 \tabularnewline
29 & 2558136000 & 2513982255.43129 & 44153744.5687127 \tabularnewline
30 & 2898129000 & 2684832097.24044 & 213296902.759563 \tabularnewline
31 & 2537720000 & 2842096689.30471 & -304376689.304705 \tabularnewline
32 & 2543469000 & 2403250193.56113 & 140218806.438875 \tabularnewline
33 & 2779739000 & 2867465452.64726 & -87726452.647265 \tabularnewline
34 & 2884779000 & 2856371094.31892 & 28407905.6810842 \tabularnewline
35 & 2711624000 & 2470152190.00141 & 241471809.998595 \tabularnewline
36 & 2817771000 & 2539279058.01303 & 278491941.986966 \tabularnewline
37 & 2884477000 & 2397655248.09277 & 486821751.907227 \tabularnewline
38 & 3058996000 & 2919666611.23042 & 139329388.769579 \tabularnewline
39 & 3285298000 & 3393832424.49237 & -108534424.492374 \tabularnewline
40 & 2879617000 & 3141867526.07617 & -262250526.076171 \tabularnewline
41 & 3220416000 & 2852904840.77839 & 367511159.221614 \tabularnewline
42 & 3144280000 & 3373719502.3235 & -229439502.323503 \tabularnewline
43 & 2940811000 & 3064647154.27319 & -123836154.273192 \tabularnewline
44 & 2986507000 & 2875431185.59909 & 111075814.400912 \tabularnewline
45 & 3153720000 & 3332430775.04956 & -178710775.049556 \tabularnewline
46 & 2995806000 & 3317275412.42422 & -321469412.424222 \tabularnewline
47 & 2990242000 & 2706383383.86926 & 283858616.130741 \tabularnewline
48 & 2879837000 & 2815169277.73912 & 64667722.26088 \tabularnewline
49 & 2848699000 & 2550446212.8796 & 298252787.120396 \tabularnewline
50 & 3138385000 & 2841884245.22839 & 296500754.771614 \tabularnewline
51 & 3532447000 & 3376772739.52748 & 155674260.472517 \tabularnewline
52 & 3121872000 & 3276208301.90169 & -154336301.901687 \tabularnewline
53 & 3309250000 & 3236535358.78293 & 72714641.2170715 \tabularnewline
54 & 3215022000 & 3392234522.01134 & -177212522.011338 \tabularnewline
55 & 2966778000 & 3151194389.1895 & -184416389.189496 \tabularnewline
56 & 3010284000 & 2980111314.823 & 30172685.1769972 \tabularnewline
57 & 3083824000 & 3308605580.17675 & -224781580.176754 \tabularnewline
58 & 3257727000 & 3220696672.79553 & 37030327.2044692 \tabularnewline
59 & 3180374000 & 3017767880.36571 & 162606119.634294 \tabularnewline
60 & 3036414000 & 2980465662.97863 & 55948337.0213704 \tabularnewline
61 & 2966714000 & 2756020792.37266 & 210693207.627345 \tabularnewline
62 & 3067677000 & 2982581903.00882 & 85095096.9911823 \tabularnewline
63 & 3339789000 & 3315506837.66452 & 24282162.3354831 \tabularnewline
64 & 3299861000 & 3052953500.32657 & 246907499.673432 \tabularnewline
65 & 3193328000 & 3381802183.34952 & -188474183.349522 \tabularnewline
66 & 3181266000 & 3278239075.72393 & -96973075.7239265 \tabularnewline
67 & 3193356000 & 3096669737.71644 & 96686262.2835579 \tabularnewline
68 & 2898282000 & 3199875752.44701 & -301593752.447007 \tabularnewline
69 & 2929524000 & 3212227961.40008 & -282703961.40008 \tabularnewline
70 & 3217311000 & 3143607207.35521 & 73703792.644794 \tabularnewline
71 & 3126249000 & 3003378547.95243 & 122870452.047573 \tabularnewline
72 & 3131083000 & 2915189261.36848 & 215893738.631519 \tabularnewline
73 & 3008058000 & 2847150416.95832 & 160907583.041682 \tabularnewline
74 & 2868318000 & 3007190087.04969 & -138872087.049695 \tabularnewline
75 & 3207495000 & 3142044498.11352 & 65450501.8864827 \tabularnewline
76 & 3109336000 & 2972224163.17413 & 137111836.825866 \tabularnewline
77 & 3070725000 & 3102914686.18921 & -32189686.189209 \tabularnewline
78 & 2989963000 & 3136770378.4171 & -146807378.417105 \tabularnewline
79 & 3287552000 & 2968017694.21262 & 319534305.78738 \tabularnewline
80 & 2835238000 & 3135167460.53279 & -299929460.532795 \tabularnewline
81 & 3368961000 & 3152740812.79405 & 216220187.205946 \tabularnewline
82 & 3291689000 & 3591874812.91386 & -300185812.913858 \tabularnewline
83 & 3008536000 & 3180910123.49209 & -172374123.492085 \tabularnewline
84 & 2974109000 & 2896491052.2974 & 77617947.7026019 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287230&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]2126472000[/C][C]2442110904.32012[/C][C]-315638904.320121[/C][/ROW]
[ROW][C]14[/C][C]2196705000[/C][C]2267241318.2864[/C][C]-70536318.2864046[/C][/ROW]
[ROW][C]15[/C][C]2368313000[/C][C]2372130899.10651[/C][C]-3817899.10651398[/C][/ROW]
[ROW][C]16[/C][C]2285174000[/C][C]2277521985.64628[/C][C]7652014.35371637[/C][/ROW]
[ROW][C]17[/C][C]2163877000[/C][C]2139375568.12118[/C][C]24501431.878818[/C][/ROW]
[ROW][C]18[/C][C]2299241000[/C][C]2240124999.76024[/C][C]59116000.2397623[/C][/ROW]
[ROW][C]19[/C][C]2275643000[/C][C]2264592589.06773[/C][C]11050410.9322724[/C][/ROW]
[ROW][C]20[/C][C]2163091000[/C][C]2040845450.91742[/C][C]122245549.082575[/C][/ROW]
[ROW][C]21[/C][C]2416149000[/C][C]2457790830.12973[/C][C]-41641830.1297302[/C][/ROW]
[ROW][C]22[/C][C]2434553000[/C][C]2438187444.56496[/C][C]-3634444.56495571[/C][/ROW]
[ROW][C]23[/C][C]2281937000[/C][C]2002765976.75042[/C][C]279171023.249581[/C][/ROW]
[ROW][C]24[/C][C]2440464000[/C][C]2085608680.94087[/C][C]354855319.059133[/C][/ROW]
[ROW][C]25[/C][C]2255745000[/C][C]2069387206.41447[/C][C]186357793.585526[/C][/ROW]
[ROW][C]26[/C][C]2389872000[/C][C]2352475981.92872[/C][C]37396018.0712843[/C][/ROW]
[ROW][C]27[/C][C]2863148000[/C][C]2591808800.78141[/C][C]271339199.218585[/C][/ROW]
[ROW][C]28[/C][C]2623516000[/C][C]2721806732.05112[/C][C]-98290732.0511198[/C][/ROW]
[ROW][C]29[/C][C]2558136000[/C][C]2513982255.43129[/C][C]44153744.5687127[/C][/ROW]
[ROW][C]30[/C][C]2898129000[/C][C]2684832097.24044[/C][C]213296902.759563[/C][/ROW]
[ROW][C]31[/C][C]2537720000[/C][C]2842096689.30471[/C][C]-304376689.304705[/C][/ROW]
[ROW][C]32[/C][C]2543469000[/C][C]2403250193.56113[/C][C]140218806.438875[/C][/ROW]
[ROW][C]33[/C][C]2779739000[/C][C]2867465452.64726[/C][C]-87726452.647265[/C][/ROW]
[ROW][C]34[/C][C]2884779000[/C][C]2856371094.31892[/C][C]28407905.6810842[/C][/ROW]
[ROW][C]35[/C][C]2711624000[/C][C]2470152190.00141[/C][C]241471809.998595[/C][/ROW]
[ROW][C]36[/C][C]2817771000[/C][C]2539279058.01303[/C][C]278491941.986966[/C][/ROW]
[ROW][C]37[/C][C]2884477000[/C][C]2397655248.09277[/C][C]486821751.907227[/C][/ROW]
[ROW][C]38[/C][C]3058996000[/C][C]2919666611.23042[/C][C]139329388.769579[/C][/ROW]
[ROW][C]39[/C][C]3285298000[/C][C]3393832424.49237[/C][C]-108534424.492374[/C][/ROW]
[ROW][C]40[/C][C]2879617000[/C][C]3141867526.07617[/C][C]-262250526.076171[/C][/ROW]
[ROW][C]41[/C][C]3220416000[/C][C]2852904840.77839[/C][C]367511159.221614[/C][/ROW]
[ROW][C]42[/C][C]3144280000[/C][C]3373719502.3235[/C][C]-229439502.323503[/C][/ROW]
[ROW][C]43[/C][C]2940811000[/C][C]3064647154.27319[/C][C]-123836154.273192[/C][/ROW]
[ROW][C]44[/C][C]2986507000[/C][C]2875431185.59909[/C][C]111075814.400912[/C][/ROW]
[ROW][C]45[/C][C]3153720000[/C][C]3332430775.04956[/C][C]-178710775.049556[/C][/ROW]
[ROW][C]46[/C][C]2995806000[/C][C]3317275412.42422[/C][C]-321469412.424222[/C][/ROW]
[ROW][C]47[/C][C]2990242000[/C][C]2706383383.86926[/C][C]283858616.130741[/C][/ROW]
[ROW][C]48[/C][C]2879837000[/C][C]2815169277.73912[/C][C]64667722.26088[/C][/ROW]
[ROW][C]49[/C][C]2848699000[/C][C]2550446212.8796[/C][C]298252787.120396[/C][/ROW]
[ROW][C]50[/C][C]3138385000[/C][C]2841884245.22839[/C][C]296500754.771614[/C][/ROW]
[ROW][C]51[/C][C]3532447000[/C][C]3376772739.52748[/C][C]155674260.472517[/C][/ROW]
[ROW][C]52[/C][C]3121872000[/C][C]3276208301.90169[/C][C]-154336301.901687[/C][/ROW]
[ROW][C]53[/C][C]3309250000[/C][C]3236535358.78293[/C][C]72714641.2170715[/C][/ROW]
[ROW][C]54[/C][C]3215022000[/C][C]3392234522.01134[/C][C]-177212522.011338[/C][/ROW]
[ROW][C]55[/C][C]2966778000[/C][C]3151194389.1895[/C][C]-184416389.189496[/C][/ROW]
[ROW][C]56[/C][C]3010284000[/C][C]2980111314.823[/C][C]30172685.1769972[/C][/ROW]
[ROW][C]57[/C][C]3083824000[/C][C]3308605580.17675[/C][C]-224781580.176754[/C][/ROW]
[ROW][C]58[/C][C]3257727000[/C][C]3220696672.79553[/C][C]37030327.2044692[/C][/ROW]
[ROW][C]59[/C][C]3180374000[/C][C]3017767880.36571[/C][C]162606119.634294[/C][/ROW]
[ROW][C]60[/C][C]3036414000[/C][C]2980465662.97863[/C][C]55948337.0213704[/C][/ROW]
[ROW][C]61[/C][C]2966714000[/C][C]2756020792.37266[/C][C]210693207.627345[/C][/ROW]
[ROW][C]62[/C][C]3067677000[/C][C]2982581903.00882[/C][C]85095096.9911823[/C][/ROW]
[ROW][C]63[/C][C]3339789000[/C][C]3315506837.66452[/C][C]24282162.3354831[/C][/ROW]
[ROW][C]64[/C][C]3299861000[/C][C]3052953500.32657[/C][C]246907499.673432[/C][/ROW]
[ROW][C]65[/C][C]3193328000[/C][C]3381802183.34952[/C][C]-188474183.349522[/C][/ROW]
[ROW][C]66[/C][C]3181266000[/C][C]3278239075.72393[/C][C]-96973075.7239265[/C][/ROW]
[ROW][C]67[/C][C]3193356000[/C][C]3096669737.71644[/C][C]96686262.2835579[/C][/ROW]
[ROW][C]68[/C][C]2898282000[/C][C]3199875752.44701[/C][C]-301593752.447007[/C][/ROW]
[ROW][C]69[/C][C]2929524000[/C][C]3212227961.40008[/C][C]-282703961.40008[/C][/ROW]
[ROW][C]70[/C][C]3217311000[/C][C]3143607207.35521[/C][C]73703792.644794[/C][/ROW]
[ROW][C]71[/C][C]3126249000[/C][C]3003378547.95243[/C][C]122870452.047573[/C][/ROW]
[ROW][C]72[/C][C]3131083000[/C][C]2915189261.36848[/C][C]215893738.631519[/C][/ROW]
[ROW][C]73[/C][C]3008058000[/C][C]2847150416.95832[/C][C]160907583.041682[/C][/ROW]
[ROW][C]74[/C][C]2868318000[/C][C]3007190087.04969[/C][C]-138872087.049695[/C][/ROW]
[ROW][C]75[/C][C]3207495000[/C][C]3142044498.11352[/C][C]65450501.8864827[/C][/ROW]
[ROW][C]76[/C][C]3109336000[/C][C]2972224163.17413[/C][C]137111836.825866[/C][/ROW]
[ROW][C]77[/C][C]3070725000[/C][C]3102914686.18921[/C][C]-32189686.189209[/C][/ROW]
[ROW][C]78[/C][C]2989963000[/C][C]3136770378.4171[/C][C]-146807378.417105[/C][/ROW]
[ROW][C]79[/C][C]3287552000[/C][C]2968017694.21262[/C][C]319534305.78738[/C][/ROW]
[ROW][C]80[/C][C]2835238000[/C][C]3135167460.53279[/C][C]-299929460.532795[/C][/ROW]
[ROW][C]81[/C][C]3368961000[/C][C]3152740812.79405[/C][C]216220187.205946[/C][/ROW]
[ROW][C]82[/C][C]3291689000[/C][C]3591874812.91386[/C][C]-300185812.913858[/C][/ROW]
[ROW][C]83[/C][C]3008536000[/C][C]3180910123.49209[/C][C]-172374123.492085[/C][/ROW]
[ROW][C]84[/C][C]2974109000[/C][C]2896491052.2974[/C][C]77617947.7026019[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287230&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287230&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
1321264720002442110904.32012-315638904.320121
1421967050002267241318.2864-70536318.2864046
1523683130002372130899.10651-3817899.10651398
1622851740002277521985.646287652014.35371637
1721638770002139375568.1211824501431.878818
1822992410002240124999.7602459116000.2397623
1922756430002264592589.0677311050410.9322724
2021630910002040845450.91742122245549.082575
2124161490002457790830.12973-41641830.1297302
2224345530002438187444.56496-3634444.56495571
2322819370002002765976.75042279171023.249581
2424404640002085608680.94087354855319.059133
2522557450002069387206.41447186357793.585526
2623898720002352475981.9287237396018.0712843
2728631480002591808800.78141271339199.218585
2826235160002721806732.05112-98290732.0511198
2925581360002513982255.4312944153744.5687127
3028981290002684832097.24044213296902.759563
3125377200002842096689.30471-304376689.304705
3225434690002403250193.56113140218806.438875
3327797390002867465452.64726-87726452.647265
3428847790002856371094.3189228407905.6810842
3527116240002470152190.00141241471809.998595
3628177710002539279058.01303278491941.986966
3728844770002397655248.09277486821751.907227
3830589960002919666611.23042139329388.769579
3932852980003393832424.49237-108534424.492374
4028796170003141867526.07617-262250526.076171
4132204160002852904840.77839367511159.221614
4231442800003373719502.3235-229439502.323503
4329408110003064647154.27319-123836154.273192
4429865070002875431185.59909111075814.400912
4531537200003332430775.04956-178710775.049556
4629958060003317275412.42422-321469412.424222
4729902420002706383383.86926283858616.130741
4828798370002815169277.7391264667722.26088
4928486990002550446212.8796298252787.120396
5031383850002841884245.22839296500754.771614
5135324470003376772739.52748155674260.472517
5231218720003276208301.90169-154336301.901687
5333092500003236535358.7829372714641.2170715
5432150220003392234522.01134-177212522.011338
5529667780003151194389.1895-184416389.189496
5630102840002980111314.82330172685.1769972
5730838240003308605580.17675-224781580.176754
5832577270003220696672.7955337030327.2044692
5931803740003017767880.36571162606119.634294
6030364140002980465662.9786355948337.0213704
6129667140002756020792.37266210693207.627345
6230676770002982581903.0088285095096.9911823
6333397890003315506837.6645224282162.3354831
6432998610003052953500.32657246907499.673432
6531933280003381802183.34952-188474183.349522
6631812660003278239075.72393-96973075.7239265
6731933560003096669737.7164496686262.2835579
6828982820003199875752.44701-301593752.447007
6929295240003212227961.40008-282703961.40008
7032173110003143607207.3552173703792.644794
7131262490003003378547.95243122870452.047573
7231310830002915189261.36848215893738.631519
7330080580002847150416.95832160907583.041682
7428683180003007190087.04969-138872087.049695
7532074950003142044498.1135265450501.8864827
7631093360002972224163.17413137111836.825866
7730707250003102914686.18921-32189686.189209
7829899630003136770378.4171-146807378.417105
7932875520002968017694.21262319534305.78738
8028352380003135167460.53279-299929460.532795
8133689610003152740812.79405216220187.205946
8232916890003591874812.91386-300185812.913858
8330085360003180910123.49209-172374123.492085
8429741090002896491052.297477617947.7026019







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
852721507758.949852338932696.368813104082821.5309
862683639866.315042203746680.97453163533051.65558
872952474581.838482354518076.702263550431086.97469
882763222814.694312118089304.03783408356325.35083
892744764270.83092029946226.146313459582315.51549
902764580480.224521975904983.083143553255977.3659
912810092646.371391943505436.029013676679856.71378
922603175356.075411728860914.543773477489797.60704
932938836922.921761898652308.920043979021536.92349
943056157512.985451916047558.226284196267467.74462
952909200119.987761760587042.938434057813197.0371
962820074241.747861708740557.880733931407925.61499

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
85 & 2721507758.94985 & 2338932696.36881 & 3104082821.5309 \tabularnewline
86 & 2683639866.31504 & 2203746680.9745 & 3163533051.65558 \tabularnewline
87 & 2952474581.83848 & 2354518076.70226 & 3550431086.97469 \tabularnewline
88 & 2763222814.69431 & 2118089304.0378 & 3408356325.35083 \tabularnewline
89 & 2744764270.8309 & 2029946226.14631 & 3459582315.51549 \tabularnewline
90 & 2764580480.22452 & 1975904983.08314 & 3553255977.3659 \tabularnewline
91 & 2810092646.37139 & 1943505436.02901 & 3676679856.71378 \tabularnewline
92 & 2603175356.07541 & 1728860914.54377 & 3477489797.60704 \tabularnewline
93 & 2938836922.92176 & 1898652308.92004 & 3979021536.92349 \tabularnewline
94 & 3056157512.98545 & 1916047558.22628 & 4196267467.74462 \tabularnewline
95 & 2909200119.98776 & 1760587042.93843 & 4057813197.0371 \tabularnewline
96 & 2820074241.74786 & 1708740557.88073 & 3931407925.61499 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287230&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]85[/C][C]2721507758.94985[/C][C]2338932696.36881[/C][C]3104082821.5309[/C][/ROW]
[ROW][C]86[/C][C]2683639866.31504[/C][C]2203746680.9745[/C][C]3163533051.65558[/C][/ROW]
[ROW][C]87[/C][C]2952474581.83848[/C][C]2354518076.70226[/C][C]3550431086.97469[/C][/ROW]
[ROW][C]88[/C][C]2763222814.69431[/C][C]2118089304.0378[/C][C]3408356325.35083[/C][/ROW]
[ROW][C]89[/C][C]2744764270.8309[/C][C]2029946226.14631[/C][C]3459582315.51549[/C][/ROW]
[ROW][C]90[/C][C]2764580480.22452[/C][C]1975904983.08314[/C][C]3553255977.3659[/C][/ROW]
[ROW][C]91[/C][C]2810092646.37139[/C][C]1943505436.02901[/C][C]3676679856.71378[/C][/ROW]
[ROW][C]92[/C][C]2603175356.07541[/C][C]1728860914.54377[/C][C]3477489797.60704[/C][/ROW]
[ROW][C]93[/C][C]2938836922.92176[/C][C]1898652308.92004[/C][C]3979021536.92349[/C][/ROW]
[ROW][C]94[/C][C]3056157512.98545[/C][C]1916047558.22628[/C][C]4196267467.74462[/C][/ROW]
[ROW][C]95[/C][C]2909200119.98776[/C][C]1760587042.93843[/C][C]4057813197.0371[/C][/ROW]
[ROW][C]96[/C][C]2820074241.74786[/C][C]1708740557.88073[/C][C]3931407925.61499[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287230&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287230&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
852721507758.949852338932696.368813104082821.5309
862683639866.315042203746680.97453163533051.65558
872952474581.838482354518076.702263550431086.97469
882763222814.694312118089304.03783408356325.35083
892744764270.83092029946226.146313459582315.51549
902764580480.224521975904983.083143553255977.3659
912810092646.371391943505436.029013676679856.71378
922603175356.075411728860914.543773477489797.60704
932938836922.921761898652308.920043979021536.92349
943056157512.985451916047558.226284196267467.74462
952909200119.987761760587042.938434057813197.0371
962820074241.747861708740557.880733931407925.61499



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')