Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 06 Dec 2015 21:56:16 +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/06/t1449439407kym46rhj2wa5rdj.htm/, Retrieved Thu, 16 May 2024 23:40:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285329, Retrieved Thu, 16 May 2024 23:40:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-12-06 21:56:16] [269a3741545986d4bc4555135c508362] [Current]
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Dataseries X:
989
1215
2911
2372
2013
2050
1580
1407
903
709
490
206
1101
1189
2877
2489
2145
1837
1613
1296
849
642
475
224
920
1263
2999
2988
2163
2391
1556
1089
976
626
392
203
1052
1034
2353
3075
2309
2009
1464
1099
1035
792
406
187
862
822
2128
2264
1987
1728
1311
1152
945
704
526
361
1035
869
2698
2367
1926
1843
1404
1314
1007
865
587
339
1143
1807
2380
2337
2117
1789
1569
1305
952
810
473
278
993
1038
2257
2284
1747
1515
1233
882
1029
707
391
239
592
692
2127
1854
1468
1535
1203
880
821
604
315
139
528
654
1895
1598
1519
1242
1027
762
735
485
281
131
651
611
1898
1385
1047
1008
843
833
711
444
315
204
473
566
1611
1301
1154
1158
862
801
559
404
223
158
548
647
1757
1326
1308
1175
992
808
758
553
310
146




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' @ 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285329&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285329&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285329&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' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285329&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]0.999933893038648[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285329&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285329&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
21215989226
329111214.985059826731696.01494017327
423722910.8878816059-538.887881605898
520132372.03562424036-359.035624240362
620502013.0237347541436.9762652458644
715802049.99755561146-469.997555611462
814071580.03107011024-173.031070110244
99031407.01143855826-504.011438558264
10709903.03331866469-194.03331866469
11490709.012826953098-219.012826953098
12206490.014478272487-284.014478272487
131101206.018775334139894.981224665861
1411891100.9408355107788.0591644892295
1528771188.994178676221688.00582132378
1624892876.88841106441-387.888411064408
1721452489.0256421242-344.025642124199
1818372145.02274248983-308.022742489828
1916131837.02036244753-224.020362447533
2012961613.01480930544-317.014809305442
218491296.02095688575-447.020956885747
22642849.02955119712-207.02955119712
23475642.01368609454-167.01368609454
24224475.011040767292-251.011040767292
25920224.016593577171695.983406422829
261263919.95399065185343.04600934815
2729991262.977322270721736.02267772928
2829882998.88523681594-10.8852368159373
2921632988.00071958993-825.000719589929
3023912163.05453829069227.945461709315
3115562390.98493121817-834.984931218172
3210891556.05519831658-467.055198316577
339761089.03087559994-113.030875599944
34626976.007472127725-350.007472127725
35392626.023137930433-234.023137930433
36203392.015470558535-189.015470558535
371052203.012495238407848.987504761593
3810341051.94387601583-17.9438760158343
3923531034.001186215121318.99881378488
4030752352.91280499639722.087195003606
4123093074.95226500971-765.952265009707
4220092309.05063477678-300.05063477678
4314642009.01983543572-545.019835435717
4410991464.0360296052-365.036029605197
4510351099.0241314227-64.0241314227012
467921035.00423244078-243.004232440782
47406792.016064271402-386.016064271402
48187406.025518349042-219.025518349042
49862187.014479111477674.985520888523
50822861.955378758258-39.9553787582576
512128822.0026413286791305.99735867132
5222642127.91366448308136.086335516915
5319872263.99100374588-276.991003745878
5417281987.01831103358-259.018311033579
5513111728.01712291348-417.017122913477
5611521311.02756773483-159.027567734828
579451152.01051282927-207.010512829274
58704945.013684835971-241.013684835971
59526704.015932682349-178.015932682349
60361526.011768092382-165.011768092382
611035361.010908426576673.989091573424
628691034.95544462917-165.955444629172
632698869.0109708101641828.98902918984
6423672697.87909109293-330.879091092935
6519262367.02187341129-441.021873411287
6618431926.02915461594-83.0291546159408
6714041843.00548880512-439.005488805115
6813141404.02902131888-90.0290213188816
6910071314.00595154503-307.005951545033
708651007.02029523057-142.020295230574
71587865.009388530168-278.009388530168
72339587.018378355903-248.018378355903
731143339.016395741353803.983604258647
7418071142.94685108695664.053148913054
7523801806.95610146415573.043898535851
7623372379.96211780915-42.9621178091465
7721172337.00284009506-220.002840095061
7817892117.01454371925-328.014543719248
7915691789.02168404476-220.021684044764
8013051569.01454496496-264.014544964964
819521305.01745319932-353.01745319932
82810952.023336911135-142.023336911135
83473810.009388731244-337.009388731244
84278473.022278666636-195.022278666636
85993278.012892330239714.987107669761
861038992.95273437490645.0472656250939
8722571037.997022062151219.00297793785
8822842256.9194154172527.0805845827504
8917472283.99820978484-536.998209784841
9015151747.0354993199-232.0354993199
9112331515.01533916179-282.015339161786
928821233.01864317713-351.018643177127
931029882.023204775878146.976795224122
947071028.99028381068-321.990283810678
95391707.021285799248-316.021285799248
96239391.020891206927-152.020891206927
97592239.01004963918352.98995036082
98692591.976664906994100.023335093006
992127691.9933877612531435.00661223875
10018542126.90513607335-272.905136073345
10114681854.01804092928-386.018040929283
10215351468.0255184797166.9744815202873
10312031534.99557252054-331.995572520538
1048801203.02194721848-323.021947218482
105821880.021353999381-59.0213539993806
106604821.003901722368-217.003901722368
107315604.014345468544-289.014345468544
108139315.019105860166-176.019105860166
109528139.011636088228388.988363911772
110654527.974285161261126.025714838739
1111895653.991668822941241.00833117706
11215981894.91796071021-296.917960710213
11315191598.01962834415-79.0196283441533
11412421519.00522374752-277.005223747517
11510271242.01831197362-215.01831197362
1167621027.01421420724-265.01421420724
117735762.017519284416-27.0175192844163
118485735.001786046103-250.001786046103
119281485.016526858408-204.016526858408
120131281.013486912656-150.013486912656
121651131.009916935782519.990083064218
122611650.965625035676-39.9656250356755
1231898611.002642006031286.99735799397
12413851897.9149205154-512.914920515395
12510471385.03390724683-338.033907246827
12610081047.02234639444-39.0223463944419
1278431008.00257964874-165.002579648745
128833843.010907819156-10.0109078191557
129711833.000661790696-122.000661790696
130444711.008065093034-267.008065093034
131315444.01765109184-129.01765109184
132204315.008528964874-111.008528964874
133473204.007338436534268.992661563466
134566472.98221771251893.017782287482
1351611565.9938508770611045.00614912294
13613011610.93091781889-309.930917818887
13711541301.02048859121-147.020488591206
13811581154.009719077763.99028092224262
1398621157.99973621465-295.999736214653
140801862.019567643122-61.0195676431222
141559801.0040338182-242.0040338182
142404559.015998151311-155.015998151311
143223404.010247636599-181.010247636599
144158223.011966037445-65.0119660374448
145548158.004297743526389.995702256474
146647547.97421856918399.0257814308166
1471757646.9934537064941110.00654629351
14813261756.92662084014-430.926620840144
14913081326.02848724947-18.0284872494694
15011751308.00119180851-133.00119180851
1519921175.00879230465-183.008792304646
152808992.01209815516-184.01209815516
153758808.012164480661-50.012164480661
154553758.003306152224-205.003306152224
155310553.013552145637-243.013552145637
156146310.0160648875-164.0160648875

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 1215 & 989 & 226 \tabularnewline
3 & 2911 & 1214.98505982673 & 1696.01494017327 \tabularnewline
4 & 2372 & 2910.8878816059 & -538.887881605898 \tabularnewline
5 & 2013 & 2372.03562424036 & -359.035624240362 \tabularnewline
6 & 2050 & 2013.02373475414 & 36.9762652458644 \tabularnewline
7 & 1580 & 2049.99755561146 & -469.997555611462 \tabularnewline
8 & 1407 & 1580.03107011024 & -173.031070110244 \tabularnewline
9 & 903 & 1407.01143855826 & -504.011438558264 \tabularnewline
10 & 709 & 903.03331866469 & -194.03331866469 \tabularnewline
11 & 490 & 709.012826953098 & -219.012826953098 \tabularnewline
12 & 206 & 490.014478272487 & -284.014478272487 \tabularnewline
13 & 1101 & 206.018775334139 & 894.981224665861 \tabularnewline
14 & 1189 & 1100.94083551077 & 88.0591644892295 \tabularnewline
15 & 2877 & 1188.99417867622 & 1688.00582132378 \tabularnewline
16 & 2489 & 2876.88841106441 & -387.888411064408 \tabularnewline
17 & 2145 & 2489.0256421242 & -344.025642124199 \tabularnewline
18 & 1837 & 2145.02274248983 & -308.022742489828 \tabularnewline
19 & 1613 & 1837.02036244753 & -224.020362447533 \tabularnewline
20 & 1296 & 1613.01480930544 & -317.014809305442 \tabularnewline
21 & 849 & 1296.02095688575 & -447.020956885747 \tabularnewline
22 & 642 & 849.02955119712 & -207.02955119712 \tabularnewline
23 & 475 & 642.01368609454 & -167.01368609454 \tabularnewline
24 & 224 & 475.011040767292 & -251.011040767292 \tabularnewline
25 & 920 & 224.016593577171 & 695.983406422829 \tabularnewline
26 & 1263 & 919.95399065185 & 343.04600934815 \tabularnewline
27 & 2999 & 1262.97732227072 & 1736.02267772928 \tabularnewline
28 & 2988 & 2998.88523681594 & -10.8852368159373 \tabularnewline
29 & 2163 & 2988.00071958993 & -825.000719589929 \tabularnewline
30 & 2391 & 2163.05453829069 & 227.945461709315 \tabularnewline
31 & 1556 & 2390.98493121817 & -834.984931218172 \tabularnewline
32 & 1089 & 1556.05519831658 & -467.055198316577 \tabularnewline
33 & 976 & 1089.03087559994 & -113.030875599944 \tabularnewline
34 & 626 & 976.007472127725 & -350.007472127725 \tabularnewline
35 & 392 & 626.023137930433 & -234.023137930433 \tabularnewline
36 & 203 & 392.015470558535 & -189.015470558535 \tabularnewline
37 & 1052 & 203.012495238407 & 848.987504761593 \tabularnewline
38 & 1034 & 1051.94387601583 & -17.9438760158343 \tabularnewline
39 & 2353 & 1034.00118621512 & 1318.99881378488 \tabularnewline
40 & 3075 & 2352.91280499639 & 722.087195003606 \tabularnewline
41 & 2309 & 3074.95226500971 & -765.952265009707 \tabularnewline
42 & 2009 & 2309.05063477678 & -300.05063477678 \tabularnewline
43 & 1464 & 2009.01983543572 & -545.019835435717 \tabularnewline
44 & 1099 & 1464.0360296052 & -365.036029605197 \tabularnewline
45 & 1035 & 1099.0241314227 & -64.0241314227012 \tabularnewline
46 & 792 & 1035.00423244078 & -243.004232440782 \tabularnewline
47 & 406 & 792.016064271402 & -386.016064271402 \tabularnewline
48 & 187 & 406.025518349042 & -219.025518349042 \tabularnewline
49 & 862 & 187.014479111477 & 674.985520888523 \tabularnewline
50 & 822 & 861.955378758258 & -39.9553787582576 \tabularnewline
51 & 2128 & 822.002641328679 & 1305.99735867132 \tabularnewline
52 & 2264 & 2127.91366448308 & 136.086335516915 \tabularnewline
53 & 1987 & 2263.99100374588 & -276.991003745878 \tabularnewline
54 & 1728 & 1987.01831103358 & -259.018311033579 \tabularnewline
55 & 1311 & 1728.01712291348 & -417.017122913477 \tabularnewline
56 & 1152 & 1311.02756773483 & -159.027567734828 \tabularnewline
57 & 945 & 1152.01051282927 & -207.010512829274 \tabularnewline
58 & 704 & 945.013684835971 & -241.013684835971 \tabularnewline
59 & 526 & 704.015932682349 & -178.015932682349 \tabularnewline
60 & 361 & 526.011768092382 & -165.011768092382 \tabularnewline
61 & 1035 & 361.010908426576 & 673.989091573424 \tabularnewline
62 & 869 & 1034.95544462917 & -165.955444629172 \tabularnewline
63 & 2698 & 869.010970810164 & 1828.98902918984 \tabularnewline
64 & 2367 & 2697.87909109293 & -330.879091092935 \tabularnewline
65 & 1926 & 2367.02187341129 & -441.021873411287 \tabularnewline
66 & 1843 & 1926.02915461594 & -83.0291546159408 \tabularnewline
67 & 1404 & 1843.00548880512 & -439.005488805115 \tabularnewline
68 & 1314 & 1404.02902131888 & -90.0290213188816 \tabularnewline
69 & 1007 & 1314.00595154503 & -307.005951545033 \tabularnewline
70 & 865 & 1007.02029523057 & -142.020295230574 \tabularnewline
71 & 587 & 865.009388530168 & -278.009388530168 \tabularnewline
72 & 339 & 587.018378355903 & -248.018378355903 \tabularnewline
73 & 1143 & 339.016395741353 & 803.983604258647 \tabularnewline
74 & 1807 & 1142.94685108695 & 664.053148913054 \tabularnewline
75 & 2380 & 1806.95610146415 & 573.043898535851 \tabularnewline
76 & 2337 & 2379.96211780915 & -42.9621178091465 \tabularnewline
77 & 2117 & 2337.00284009506 & -220.002840095061 \tabularnewline
78 & 1789 & 2117.01454371925 & -328.014543719248 \tabularnewline
79 & 1569 & 1789.02168404476 & -220.021684044764 \tabularnewline
80 & 1305 & 1569.01454496496 & -264.014544964964 \tabularnewline
81 & 952 & 1305.01745319932 & -353.01745319932 \tabularnewline
82 & 810 & 952.023336911135 & -142.023336911135 \tabularnewline
83 & 473 & 810.009388731244 & -337.009388731244 \tabularnewline
84 & 278 & 473.022278666636 & -195.022278666636 \tabularnewline
85 & 993 & 278.012892330239 & 714.987107669761 \tabularnewline
86 & 1038 & 992.952734374906 & 45.0472656250939 \tabularnewline
87 & 2257 & 1037.99702206215 & 1219.00297793785 \tabularnewline
88 & 2284 & 2256.91941541725 & 27.0805845827504 \tabularnewline
89 & 1747 & 2283.99820978484 & -536.998209784841 \tabularnewline
90 & 1515 & 1747.0354993199 & -232.0354993199 \tabularnewline
91 & 1233 & 1515.01533916179 & -282.015339161786 \tabularnewline
92 & 882 & 1233.01864317713 & -351.018643177127 \tabularnewline
93 & 1029 & 882.023204775878 & 146.976795224122 \tabularnewline
94 & 707 & 1028.99028381068 & -321.990283810678 \tabularnewline
95 & 391 & 707.021285799248 & -316.021285799248 \tabularnewline
96 & 239 & 391.020891206927 & -152.020891206927 \tabularnewline
97 & 592 & 239.01004963918 & 352.98995036082 \tabularnewline
98 & 692 & 591.976664906994 & 100.023335093006 \tabularnewline
99 & 2127 & 691.993387761253 & 1435.00661223875 \tabularnewline
100 & 1854 & 2126.90513607335 & -272.905136073345 \tabularnewline
101 & 1468 & 1854.01804092928 & -386.018040929283 \tabularnewline
102 & 1535 & 1468.02551847971 & 66.9744815202873 \tabularnewline
103 & 1203 & 1534.99557252054 & -331.995572520538 \tabularnewline
104 & 880 & 1203.02194721848 & -323.021947218482 \tabularnewline
105 & 821 & 880.021353999381 & -59.0213539993806 \tabularnewline
106 & 604 & 821.003901722368 & -217.003901722368 \tabularnewline
107 & 315 & 604.014345468544 & -289.014345468544 \tabularnewline
108 & 139 & 315.019105860166 & -176.019105860166 \tabularnewline
109 & 528 & 139.011636088228 & 388.988363911772 \tabularnewline
110 & 654 & 527.974285161261 & 126.025714838739 \tabularnewline
111 & 1895 & 653.99166882294 & 1241.00833117706 \tabularnewline
112 & 1598 & 1894.91796071021 & -296.917960710213 \tabularnewline
113 & 1519 & 1598.01962834415 & -79.0196283441533 \tabularnewline
114 & 1242 & 1519.00522374752 & -277.005223747517 \tabularnewline
115 & 1027 & 1242.01831197362 & -215.01831197362 \tabularnewline
116 & 762 & 1027.01421420724 & -265.01421420724 \tabularnewline
117 & 735 & 762.017519284416 & -27.0175192844163 \tabularnewline
118 & 485 & 735.001786046103 & -250.001786046103 \tabularnewline
119 & 281 & 485.016526858408 & -204.016526858408 \tabularnewline
120 & 131 & 281.013486912656 & -150.013486912656 \tabularnewline
121 & 651 & 131.009916935782 & 519.990083064218 \tabularnewline
122 & 611 & 650.965625035676 & -39.9656250356755 \tabularnewline
123 & 1898 & 611.00264200603 & 1286.99735799397 \tabularnewline
124 & 1385 & 1897.9149205154 & -512.914920515395 \tabularnewline
125 & 1047 & 1385.03390724683 & -338.033907246827 \tabularnewline
126 & 1008 & 1047.02234639444 & -39.0223463944419 \tabularnewline
127 & 843 & 1008.00257964874 & -165.002579648745 \tabularnewline
128 & 833 & 843.010907819156 & -10.0109078191557 \tabularnewline
129 & 711 & 833.000661790696 & -122.000661790696 \tabularnewline
130 & 444 & 711.008065093034 & -267.008065093034 \tabularnewline
131 & 315 & 444.01765109184 & -129.01765109184 \tabularnewline
132 & 204 & 315.008528964874 & -111.008528964874 \tabularnewline
133 & 473 & 204.007338436534 & 268.992661563466 \tabularnewline
134 & 566 & 472.982217712518 & 93.017782287482 \tabularnewline
135 & 1611 & 565.993850877061 & 1045.00614912294 \tabularnewline
136 & 1301 & 1610.93091781889 & -309.930917818887 \tabularnewline
137 & 1154 & 1301.02048859121 & -147.020488591206 \tabularnewline
138 & 1158 & 1154.00971907776 & 3.99028092224262 \tabularnewline
139 & 862 & 1157.99973621465 & -295.999736214653 \tabularnewline
140 & 801 & 862.019567643122 & -61.0195676431222 \tabularnewline
141 & 559 & 801.0040338182 & -242.0040338182 \tabularnewline
142 & 404 & 559.015998151311 & -155.015998151311 \tabularnewline
143 & 223 & 404.010247636599 & -181.010247636599 \tabularnewline
144 & 158 & 223.011966037445 & -65.0119660374448 \tabularnewline
145 & 548 & 158.004297743526 & 389.995702256474 \tabularnewline
146 & 647 & 547.974218569183 & 99.0257814308166 \tabularnewline
147 & 1757 & 646.993453706494 & 1110.00654629351 \tabularnewline
148 & 1326 & 1756.92662084014 & -430.926620840144 \tabularnewline
149 & 1308 & 1326.02848724947 & -18.0284872494694 \tabularnewline
150 & 1175 & 1308.00119180851 & -133.00119180851 \tabularnewline
151 & 992 & 1175.00879230465 & -183.008792304646 \tabularnewline
152 & 808 & 992.01209815516 & -184.01209815516 \tabularnewline
153 & 758 & 808.012164480661 & -50.012164480661 \tabularnewline
154 & 553 & 758.003306152224 & -205.003306152224 \tabularnewline
155 & 310 & 553.013552145637 & -243.013552145637 \tabularnewline
156 & 146 & 310.0160648875 & -164.0160648875 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285329&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]1215[/C][C]989[/C][C]226[/C][/ROW]
[ROW][C]3[/C][C]2911[/C][C]1214.98505982673[/C][C]1696.01494017327[/C][/ROW]
[ROW][C]4[/C][C]2372[/C][C]2910.8878816059[/C][C]-538.887881605898[/C][/ROW]
[ROW][C]5[/C][C]2013[/C][C]2372.03562424036[/C][C]-359.035624240362[/C][/ROW]
[ROW][C]6[/C][C]2050[/C][C]2013.02373475414[/C][C]36.9762652458644[/C][/ROW]
[ROW][C]7[/C][C]1580[/C][C]2049.99755561146[/C][C]-469.997555611462[/C][/ROW]
[ROW][C]8[/C][C]1407[/C][C]1580.03107011024[/C][C]-173.031070110244[/C][/ROW]
[ROW][C]9[/C][C]903[/C][C]1407.01143855826[/C][C]-504.011438558264[/C][/ROW]
[ROW][C]10[/C][C]709[/C][C]903.03331866469[/C][C]-194.03331866469[/C][/ROW]
[ROW][C]11[/C][C]490[/C][C]709.012826953098[/C][C]-219.012826953098[/C][/ROW]
[ROW][C]12[/C][C]206[/C][C]490.014478272487[/C][C]-284.014478272487[/C][/ROW]
[ROW][C]13[/C][C]1101[/C][C]206.018775334139[/C][C]894.981224665861[/C][/ROW]
[ROW][C]14[/C][C]1189[/C][C]1100.94083551077[/C][C]88.0591644892295[/C][/ROW]
[ROW][C]15[/C][C]2877[/C][C]1188.99417867622[/C][C]1688.00582132378[/C][/ROW]
[ROW][C]16[/C][C]2489[/C][C]2876.88841106441[/C][C]-387.888411064408[/C][/ROW]
[ROW][C]17[/C][C]2145[/C][C]2489.0256421242[/C][C]-344.025642124199[/C][/ROW]
[ROW][C]18[/C][C]1837[/C][C]2145.02274248983[/C][C]-308.022742489828[/C][/ROW]
[ROW][C]19[/C][C]1613[/C][C]1837.02036244753[/C][C]-224.020362447533[/C][/ROW]
[ROW][C]20[/C][C]1296[/C][C]1613.01480930544[/C][C]-317.014809305442[/C][/ROW]
[ROW][C]21[/C][C]849[/C][C]1296.02095688575[/C][C]-447.020956885747[/C][/ROW]
[ROW][C]22[/C][C]642[/C][C]849.02955119712[/C][C]-207.02955119712[/C][/ROW]
[ROW][C]23[/C][C]475[/C][C]642.01368609454[/C][C]-167.01368609454[/C][/ROW]
[ROW][C]24[/C][C]224[/C][C]475.011040767292[/C][C]-251.011040767292[/C][/ROW]
[ROW][C]25[/C][C]920[/C][C]224.016593577171[/C][C]695.983406422829[/C][/ROW]
[ROW][C]26[/C][C]1263[/C][C]919.95399065185[/C][C]343.04600934815[/C][/ROW]
[ROW][C]27[/C][C]2999[/C][C]1262.97732227072[/C][C]1736.02267772928[/C][/ROW]
[ROW][C]28[/C][C]2988[/C][C]2998.88523681594[/C][C]-10.8852368159373[/C][/ROW]
[ROW][C]29[/C][C]2163[/C][C]2988.00071958993[/C][C]-825.000719589929[/C][/ROW]
[ROW][C]30[/C][C]2391[/C][C]2163.05453829069[/C][C]227.945461709315[/C][/ROW]
[ROW][C]31[/C][C]1556[/C][C]2390.98493121817[/C][C]-834.984931218172[/C][/ROW]
[ROW][C]32[/C][C]1089[/C][C]1556.05519831658[/C][C]-467.055198316577[/C][/ROW]
[ROW][C]33[/C][C]976[/C][C]1089.03087559994[/C][C]-113.030875599944[/C][/ROW]
[ROW][C]34[/C][C]626[/C][C]976.007472127725[/C][C]-350.007472127725[/C][/ROW]
[ROW][C]35[/C][C]392[/C][C]626.023137930433[/C][C]-234.023137930433[/C][/ROW]
[ROW][C]36[/C][C]203[/C][C]392.015470558535[/C][C]-189.015470558535[/C][/ROW]
[ROW][C]37[/C][C]1052[/C][C]203.012495238407[/C][C]848.987504761593[/C][/ROW]
[ROW][C]38[/C][C]1034[/C][C]1051.94387601583[/C][C]-17.9438760158343[/C][/ROW]
[ROW][C]39[/C][C]2353[/C][C]1034.00118621512[/C][C]1318.99881378488[/C][/ROW]
[ROW][C]40[/C][C]3075[/C][C]2352.91280499639[/C][C]722.087195003606[/C][/ROW]
[ROW][C]41[/C][C]2309[/C][C]3074.95226500971[/C][C]-765.952265009707[/C][/ROW]
[ROW][C]42[/C][C]2009[/C][C]2309.05063477678[/C][C]-300.05063477678[/C][/ROW]
[ROW][C]43[/C][C]1464[/C][C]2009.01983543572[/C][C]-545.019835435717[/C][/ROW]
[ROW][C]44[/C][C]1099[/C][C]1464.0360296052[/C][C]-365.036029605197[/C][/ROW]
[ROW][C]45[/C][C]1035[/C][C]1099.0241314227[/C][C]-64.0241314227012[/C][/ROW]
[ROW][C]46[/C][C]792[/C][C]1035.00423244078[/C][C]-243.004232440782[/C][/ROW]
[ROW][C]47[/C][C]406[/C][C]792.016064271402[/C][C]-386.016064271402[/C][/ROW]
[ROW][C]48[/C][C]187[/C][C]406.025518349042[/C][C]-219.025518349042[/C][/ROW]
[ROW][C]49[/C][C]862[/C][C]187.014479111477[/C][C]674.985520888523[/C][/ROW]
[ROW][C]50[/C][C]822[/C][C]861.955378758258[/C][C]-39.9553787582576[/C][/ROW]
[ROW][C]51[/C][C]2128[/C][C]822.002641328679[/C][C]1305.99735867132[/C][/ROW]
[ROW][C]52[/C][C]2264[/C][C]2127.91366448308[/C][C]136.086335516915[/C][/ROW]
[ROW][C]53[/C][C]1987[/C][C]2263.99100374588[/C][C]-276.991003745878[/C][/ROW]
[ROW][C]54[/C][C]1728[/C][C]1987.01831103358[/C][C]-259.018311033579[/C][/ROW]
[ROW][C]55[/C][C]1311[/C][C]1728.01712291348[/C][C]-417.017122913477[/C][/ROW]
[ROW][C]56[/C][C]1152[/C][C]1311.02756773483[/C][C]-159.027567734828[/C][/ROW]
[ROW][C]57[/C][C]945[/C][C]1152.01051282927[/C][C]-207.010512829274[/C][/ROW]
[ROW][C]58[/C][C]704[/C][C]945.013684835971[/C][C]-241.013684835971[/C][/ROW]
[ROW][C]59[/C][C]526[/C][C]704.015932682349[/C][C]-178.015932682349[/C][/ROW]
[ROW][C]60[/C][C]361[/C][C]526.011768092382[/C][C]-165.011768092382[/C][/ROW]
[ROW][C]61[/C][C]1035[/C][C]361.010908426576[/C][C]673.989091573424[/C][/ROW]
[ROW][C]62[/C][C]869[/C][C]1034.95544462917[/C][C]-165.955444629172[/C][/ROW]
[ROW][C]63[/C][C]2698[/C][C]869.010970810164[/C][C]1828.98902918984[/C][/ROW]
[ROW][C]64[/C][C]2367[/C][C]2697.87909109293[/C][C]-330.879091092935[/C][/ROW]
[ROW][C]65[/C][C]1926[/C][C]2367.02187341129[/C][C]-441.021873411287[/C][/ROW]
[ROW][C]66[/C][C]1843[/C][C]1926.02915461594[/C][C]-83.0291546159408[/C][/ROW]
[ROW][C]67[/C][C]1404[/C][C]1843.00548880512[/C][C]-439.005488805115[/C][/ROW]
[ROW][C]68[/C][C]1314[/C][C]1404.02902131888[/C][C]-90.0290213188816[/C][/ROW]
[ROW][C]69[/C][C]1007[/C][C]1314.00595154503[/C][C]-307.005951545033[/C][/ROW]
[ROW][C]70[/C][C]865[/C][C]1007.02029523057[/C][C]-142.020295230574[/C][/ROW]
[ROW][C]71[/C][C]587[/C][C]865.009388530168[/C][C]-278.009388530168[/C][/ROW]
[ROW][C]72[/C][C]339[/C][C]587.018378355903[/C][C]-248.018378355903[/C][/ROW]
[ROW][C]73[/C][C]1143[/C][C]339.016395741353[/C][C]803.983604258647[/C][/ROW]
[ROW][C]74[/C][C]1807[/C][C]1142.94685108695[/C][C]664.053148913054[/C][/ROW]
[ROW][C]75[/C][C]2380[/C][C]1806.95610146415[/C][C]573.043898535851[/C][/ROW]
[ROW][C]76[/C][C]2337[/C][C]2379.96211780915[/C][C]-42.9621178091465[/C][/ROW]
[ROW][C]77[/C][C]2117[/C][C]2337.00284009506[/C][C]-220.002840095061[/C][/ROW]
[ROW][C]78[/C][C]1789[/C][C]2117.01454371925[/C][C]-328.014543719248[/C][/ROW]
[ROW][C]79[/C][C]1569[/C][C]1789.02168404476[/C][C]-220.021684044764[/C][/ROW]
[ROW][C]80[/C][C]1305[/C][C]1569.01454496496[/C][C]-264.014544964964[/C][/ROW]
[ROW][C]81[/C][C]952[/C][C]1305.01745319932[/C][C]-353.01745319932[/C][/ROW]
[ROW][C]82[/C][C]810[/C][C]952.023336911135[/C][C]-142.023336911135[/C][/ROW]
[ROW][C]83[/C][C]473[/C][C]810.009388731244[/C][C]-337.009388731244[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]473.022278666636[/C][C]-195.022278666636[/C][/ROW]
[ROW][C]85[/C][C]993[/C][C]278.012892330239[/C][C]714.987107669761[/C][/ROW]
[ROW][C]86[/C][C]1038[/C][C]992.952734374906[/C][C]45.0472656250939[/C][/ROW]
[ROW][C]87[/C][C]2257[/C][C]1037.99702206215[/C][C]1219.00297793785[/C][/ROW]
[ROW][C]88[/C][C]2284[/C][C]2256.91941541725[/C][C]27.0805845827504[/C][/ROW]
[ROW][C]89[/C][C]1747[/C][C]2283.99820978484[/C][C]-536.998209784841[/C][/ROW]
[ROW][C]90[/C][C]1515[/C][C]1747.0354993199[/C][C]-232.0354993199[/C][/ROW]
[ROW][C]91[/C][C]1233[/C][C]1515.01533916179[/C][C]-282.015339161786[/C][/ROW]
[ROW][C]92[/C][C]882[/C][C]1233.01864317713[/C][C]-351.018643177127[/C][/ROW]
[ROW][C]93[/C][C]1029[/C][C]882.023204775878[/C][C]146.976795224122[/C][/ROW]
[ROW][C]94[/C][C]707[/C][C]1028.99028381068[/C][C]-321.990283810678[/C][/ROW]
[ROW][C]95[/C][C]391[/C][C]707.021285799248[/C][C]-316.021285799248[/C][/ROW]
[ROW][C]96[/C][C]239[/C][C]391.020891206927[/C][C]-152.020891206927[/C][/ROW]
[ROW][C]97[/C][C]592[/C][C]239.01004963918[/C][C]352.98995036082[/C][/ROW]
[ROW][C]98[/C][C]692[/C][C]591.976664906994[/C][C]100.023335093006[/C][/ROW]
[ROW][C]99[/C][C]2127[/C][C]691.993387761253[/C][C]1435.00661223875[/C][/ROW]
[ROW][C]100[/C][C]1854[/C][C]2126.90513607335[/C][C]-272.905136073345[/C][/ROW]
[ROW][C]101[/C][C]1468[/C][C]1854.01804092928[/C][C]-386.018040929283[/C][/ROW]
[ROW][C]102[/C][C]1535[/C][C]1468.02551847971[/C][C]66.9744815202873[/C][/ROW]
[ROW][C]103[/C][C]1203[/C][C]1534.99557252054[/C][C]-331.995572520538[/C][/ROW]
[ROW][C]104[/C][C]880[/C][C]1203.02194721848[/C][C]-323.021947218482[/C][/ROW]
[ROW][C]105[/C][C]821[/C][C]880.021353999381[/C][C]-59.0213539993806[/C][/ROW]
[ROW][C]106[/C][C]604[/C][C]821.003901722368[/C][C]-217.003901722368[/C][/ROW]
[ROW][C]107[/C][C]315[/C][C]604.014345468544[/C][C]-289.014345468544[/C][/ROW]
[ROW][C]108[/C][C]139[/C][C]315.019105860166[/C][C]-176.019105860166[/C][/ROW]
[ROW][C]109[/C][C]528[/C][C]139.011636088228[/C][C]388.988363911772[/C][/ROW]
[ROW][C]110[/C][C]654[/C][C]527.974285161261[/C][C]126.025714838739[/C][/ROW]
[ROW][C]111[/C][C]1895[/C][C]653.99166882294[/C][C]1241.00833117706[/C][/ROW]
[ROW][C]112[/C][C]1598[/C][C]1894.91796071021[/C][C]-296.917960710213[/C][/ROW]
[ROW][C]113[/C][C]1519[/C][C]1598.01962834415[/C][C]-79.0196283441533[/C][/ROW]
[ROW][C]114[/C][C]1242[/C][C]1519.00522374752[/C][C]-277.005223747517[/C][/ROW]
[ROW][C]115[/C][C]1027[/C][C]1242.01831197362[/C][C]-215.01831197362[/C][/ROW]
[ROW][C]116[/C][C]762[/C][C]1027.01421420724[/C][C]-265.01421420724[/C][/ROW]
[ROW][C]117[/C][C]735[/C][C]762.017519284416[/C][C]-27.0175192844163[/C][/ROW]
[ROW][C]118[/C][C]485[/C][C]735.001786046103[/C][C]-250.001786046103[/C][/ROW]
[ROW][C]119[/C][C]281[/C][C]485.016526858408[/C][C]-204.016526858408[/C][/ROW]
[ROW][C]120[/C][C]131[/C][C]281.013486912656[/C][C]-150.013486912656[/C][/ROW]
[ROW][C]121[/C][C]651[/C][C]131.009916935782[/C][C]519.990083064218[/C][/ROW]
[ROW][C]122[/C][C]611[/C][C]650.965625035676[/C][C]-39.9656250356755[/C][/ROW]
[ROW][C]123[/C][C]1898[/C][C]611.00264200603[/C][C]1286.99735799397[/C][/ROW]
[ROW][C]124[/C][C]1385[/C][C]1897.9149205154[/C][C]-512.914920515395[/C][/ROW]
[ROW][C]125[/C][C]1047[/C][C]1385.03390724683[/C][C]-338.033907246827[/C][/ROW]
[ROW][C]126[/C][C]1008[/C][C]1047.02234639444[/C][C]-39.0223463944419[/C][/ROW]
[ROW][C]127[/C][C]843[/C][C]1008.00257964874[/C][C]-165.002579648745[/C][/ROW]
[ROW][C]128[/C][C]833[/C][C]843.010907819156[/C][C]-10.0109078191557[/C][/ROW]
[ROW][C]129[/C][C]711[/C][C]833.000661790696[/C][C]-122.000661790696[/C][/ROW]
[ROW][C]130[/C][C]444[/C][C]711.008065093034[/C][C]-267.008065093034[/C][/ROW]
[ROW][C]131[/C][C]315[/C][C]444.01765109184[/C][C]-129.01765109184[/C][/ROW]
[ROW][C]132[/C][C]204[/C][C]315.008528964874[/C][C]-111.008528964874[/C][/ROW]
[ROW][C]133[/C][C]473[/C][C]204.007338436534[/C][C]268.992661563466[/C][/ROW]
[ROW][C]134[/C][C]566[/C][C]472.982217712518[/C][C]93.017782287482[/C][/ROW]
[ROW][C]135[/C][C]1611[/C][C]565.993850877061[/C][C]1045.00614912294[/C][/ROW]
[ROW][C]136[/C][C]1301[/C][C]1610.93091781889[/C][C]-309.930917818887[/C][/ROW]
[ROW][C]137[/C][C]1154[/C][C]1301.02048859121[/C][C]-147.020488591206[/C][/ROW]
[ROW][C]138[/C][C]1158[/C][C]1154.00971907776[/C][C]3.99028092224262[/C][/ROW]
[ROW][C]139[/C][C]862[/C][C]1157.99973621465[/C][C]-295.999736214653[/C][/ROW]
[ROW][C]140[/C][C]801[/C][C]862.019567643122[/C][C]-61.0195676431222[/C][/ROW]
[ROW][C]141[/C][C]559[/C][C]801.0040338182[/C][C]-242.0040338182[/C][/ROW]
[ROW][C]142[/C][C]404[/C][C]559.015998151311[/C][C]-155.015998151311[/C][/ROW]
[ROW][C]143[/C][C]223[/C][C]404.010247636599[/C][C]-181.010247636599[/C][/ROW]
[ROW][C]144[/C][C]158[/C][C]223.011966037445[/C][C]-65.0119660374448[/C][/ROW]
[ROW][C]145[/C][C]548[/C][C]158.004297743526[/C][C]389.995702256474[/C][/ROW]
[ROW][C]146[/C][C]647[/C][C]547.974218569183[/C][C]99.0257814308166[/C][/ROW]
[ROW][C]147[/C][C]1757[/C][C]646.993453706494[/C][C]1110.00654629351[/C][/ROW]
[ROW][C]148[/C][C]1326[/C][C]1756.92662084014[/C][C]-430.926620840144[/C][/ROW]
[ROW][C]149[/C][C]1308[/C][C]1326.02848724947[/C][C]-18.0284872494694[/C][/ROW]
[ROW][C]150[/C][C]1175[/C][C]1308.00119180851[/C][C]-133.00119180851[/C][/ROW]
[ROW][C]151[/C][C]992[/C][C]1175.00879230465[/C][C]-183.008792304646[/C][/ROW]
[ROW][C]152[/C][C]808[/C][C]992.01209815516[/C][C]-184.01209815516[/C][/ROW]
[ROW][C]153[/C][C]758[/C][C]808.012164480661[/C][C]-50.012164480661[/C][/ROW]
[ROW][C]154[/C][C]553[/C][C]758.003306152224[/C][C]-205.003306152224[/C][/ROW]
[ROW][C]155[/C][C]310[/C][C]553.013552145637[/C][C]-243.013552145637[/C][/ROW]
[ROW][C]156[/C][C]146[/C][C]310.0160648875[/C][C]-164.0160648875[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285329&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285329&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
21215989226
329111214.985059826731696.01494017327
423722910.8878816059-538.887881605898
520132372.03562424036-359.035624240362
620502013.0237347541436.9762652458644
715802049.99755561146-469.997555611462
814071580.03107011024-173.031070110244
99031407.01143855826-504.011438558264
10709903.03331866469-194.03331866469
11490709.012826953098-219.012826953098
12206490.014478272487-284.014478272487
131101206.018775334139894.981224665861
1411891100.9408355107788.0591644892295
1528771188.994178676221688.00582132378
1624892876.88841106441-387.888411064408
1721452489.0256421242-344.025642124199
1818372145.02274248983-308.022742489828
1916131837.02036244753-224.020362447533
2012961613.01480930544-317.014809305442
218491296.02095688575-447.020956885747
22642849.02955119712-207.02955119712
23475642.01368609454-167.01368609454
24224475.011040767292-251.011040767292
25920224.016593577171695.983406422829
261263919.95399065185343.04600934815
2729991262.977322270721736.02267772928
2829882998.88523681594-10.8852368159373
2921632988.00071958993-825.000719589929
3023912163.05453829069227.945461709315
3115562390.98493121817-834.984931218172
3210891556.05519831658-467.055198316577
339761089.03087559994-113.030875599944
34626976.007472127725-350.007472127725
35392626.023137930433-234.023137930433
36203392.015470558535-189.015470558535
371052203.012495238407848.987504761593
3810341051.94387601583-17.9438760158343
3923531034.001186215121318.99881378488
4030752352.91280499639722.087195003606
4123093074.95226500971-765.952265009707
4220092309.05063477678-300.05063477678
4314642009.01983543572-545.019835435717
4410991464.0360296052-365.036029605197
4510351099.0241314227-64.0241314227012
467921035.00423244078-243.004232440782
47406792.016064271402-386.016064271402
48187406.025518349042-219.025518349042
49862187.014479111477674.985520888523
50822861.955378758258-39.9553787582576
512128822.0026413286791305.99735867132
5222642127.91366448308136.086335516915
5319872263.99100374588-276.991003745878
5417281987.01831103358-259.018311033579
5513111728.01712291348-417.017122913477
5611521311.02756773483-159.027567734828
579451152.01051282927-207.010512829274
58704945.013684835971-241.013684835971
59526704.015932682349-178.015932682349
60361526.011768092382-165.011768092382
611035361.010908426576673.989091573424
628691034.95544462917-165.955444629172
632698869.0109708101641828.98902918984
6423672697.87909109293-330.879091092935
6519262367.02187341129-441.021873411287
6618431926.02915461594-83.0291546159408
6714041843.00548880512-439.005488805115
6813141404.02902131888-90.0290213188816
6910071314.00595154503-307.005951545033
708651007.02029523057-142.020295230574
71587865.009388530168-278.009388530168
72339587.018378355903-248.018378355903
731143339.016395741353803.983604258647
7418071142.94685108695664.053148913054
7523801806.95610146415573.043898535851
7623372379.96211780915-42.9621178091465
7721172337.00284009506-220.002840095061
7817892117.01454371925-328.014543719248
7915691789.02168404476-220.021684044764
8013051569.01454496496-264.014544964964
819521305.01745319932-353.01745319932
82810952.023336911135-142.023336911135
83473810.009388731244-337.009388731244
84278473.022278666636-195.022278666636
85993278.012892330239714.987107669761
861038992.95273437490645.0472656250939
8722571037.997022062151219.00297793785
8822842256.9194154172527.0805845827504
8917472283.99820978484-536.998209784841
9015151747.0354993199-232.0354993199
9112331515.01533916179-282.015339161786
928821233.01864317713-351.018643177127
931029882.023204775878146.976795224122
947071028.99028381068-321.990283810678
95391707.021285799248-316.021285799248
96239391.020891206927-152.020891206927
97592239.01004963918352.98995036082
98692591.976664906994100.023335093006
992127691.9933877612531435.00661223875
10018542126.90513607335-272.905136073345
10114681854.01804092928-386.018040929283
10215351468.0255184797166.9744815202873
10312031534.99557252054-331.995572520538
1048801203.02194721848-323.021947218482
105821880.021353999381-59.0213539993806
106604821.003901722368-217.003901722368
107315604.014345468544-289.014345468544
108139315.019105860166-176.019105860166
109528139.011636088228388.988363911772
110654527.974285161261126.025714838739
1111895653.991668822941241.00833117706
11215981894.91796071021-296.917960710213
11315191598.01962834415-79.0196283441533
11412421519.00522374752-277.005223747517
11510271242.01831197362-215.01831197362
1167621027.01421420724-265.01421420724
117735762.017519284416-27.0175192844163
118485735.001786046103-250.001786046103
119281485.016526858408-204.016526858408
120131281.013486912656-150.013486912656
121651131.009916935782519.990083064218
122611650.965625035676-39.9656250356755
1231898611.002642006031286.99735799397
12413851897.9149205154-512.914920515395
12510471385.03390724683-338.033907246827
12610081047.02234639444-39.0223463944419
1278431008.00257964874-165.002579648745
128833843.010907819156-10.0109078191557
129711833.000661790696-122.000661790696
130444711.008065093034-267.008065093034
131315444.01765109184-129.01765109184
132204315.008528964874-111.008528964874
133473204.007338436534268.992661563466
134566472.98221771251893.017782287482
1351611565.9938508770611045.00614912294
13613011610.93091781889-309.930917818887
13711541301.02048859121-147.020488591206
13811581154.009719077763.99028092224262
1398621157.99973621465-295.999736214653
140801862.019567643122-61.0195676431222
141559801.0040338182-242.0040338182
142404559.015998151311-155.015998151311
143223404.010247636599-181.010247636599
144158223.011966037445-65.0119660374448
145548158.004297743526389.995702256474
146647547.97421856918399.0257814308166
1471757646.9934537064941110.00654629351
14813261756.92662084014-430.926620840144
14913081326.02848724947-18.0284872494694
15011751308.00119180851-133.00119180851
1519921175.00879230465-183.008792304646
152808992.01209815516-184.01209815516
153758808.012164480661-50.012164480661
154553758.003306152224-205.003306152224
155310553.013552145637-243.013552145637
156146310.0160648875-164.0160648875







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
157146.010842603663-866.3726839645451158.39436917187
158146.010842603663-1285.668348229681577.690033437
159146.010842603663-1607.411583984911899.43326919223
160146.010842603663-1878.655822964342170.67750817167
161146.010842603663-2117.627822744852409.64950795218
162146.010842603663-2333.675610934232625.69729614156
163146.010842603663-2532.352427839292824.37411304661
164146.010842603663-2717.276552866173009.29823807349
165146.010842603663-2890.961269493343182.98295470066
166146.010842603663-3055.236494022093347.25817922941
167146.010842603663-3211.483671293863503.50535650119
168146.010842603663-3360.77605018733652.79773539463

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
157 & 146.010842603663 & -866.372683964545 & 1158.39436917187 \tabularnewline
158 & 146.010842603663 & -1285.66834822968 & 1577.690033437 \tabularnewline
159 & 146.010842603663 & -1607.41158398491 & 1899.43326919223 \tabularnewline
160 & 146.010842603663 & -1878.65582296434 & 2170.67750817167 \tabularnewline
161 & 146.010842603663 & -2117.62782274485 & 2409.64950795218 \tabularnewline
162 & 146.010842603663 & -2333.67561093423 & 2625.69729614156 \tabularnewline
163 & 146.010842603663 & -2532.35242783929 & 2824.37411304661 \tabularnewline
164 & 146.010842603663 & -2717.27655286617 & 3009.29823807349 \tabularnewline
165 & 146.010842603663 & -2890.96126949334 & 3182.98295470066 \tabularnewline
166 & 146.010842603663 & -3055.23649402209 & 3347.25817922941 \tabularnewline
167 & 146.010842603663 & -3211.48367129386 & 3503.50535650119 \tabularnewline
168 & 146.010842603663 & -3360.7760501873 & 3652.79773539463 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285329&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]157[/C][C]146.010842603663[/C][C]-866.372683964545[/C][C]1158.39436917187[/C][/ROW]
[ROW][C]158[/C][C]146.010842603663[/C][C]-1285.66834822968[/C][C]1577.690033437[/C][/ROW]
[ROW][C]159[/C][C]146.010842603663[/C][C]-1607.41158398491[/C][C]1899.43326919223[/C][/ROW]
[ROW][C]160[/C][C]146.010842603663[/C][C]-1878.65582296434[/C][C]2170.67750817167[/C][/ROW]
[ROW][C]161[/C][C]146.010842603663[/C][C]-2117.62782274485[/C][C]2409.64950795218[/C][/ROW]
[ROW][C]162[/C][C]146.010842603663[/C][C]-2333.67561093423[/C][C]2625.69729614156[/C][/ROW]
[ROW][C]163[/C][C]146.010842603663[/C][C]-2532.35242783929[/C][C]2824.37411304661[/C][/ROW]
[ROW][C]164[/C][C]146.010842603663[/C][C]-2717.27655286617[/C][C]3009.29823807349[/C][/ROW]
[ROW][C]165[/C][C]146.010842603663[/C][C]-2890.96126949334[/C][C]3182.98295470066[/C][/ROW]
[ROW][C]166[/C][C]146.010842603663[/C][C]-3055.23649402209[/C][C]3347.25817922941[/C][/ROW]
[ROW][C]167[/C][C]146.010842603663[/C][C]-3211.48367129386[/C][C]3503.50535650119[/C][/ROW]
[ROW][C]168[/C][C]146.010842603663[/C][C]-3360.7760501873[/C][C]3652.79773539463[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285329&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285329&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
157146.010842603663-866.3726839645451158.39436917187
158146.010842603663-1285.668348229681577.690033437
159146.010842603663-1607.411583984911899.43326919223
160146.010842603663-1878.655822964342170.67750817167
161146.010842603663-2117.627822744852409.64950795218
162146.010842603663-2333.675610934232625.69729614156
163146.010842603663-2532.352427839292824.37411304661
164146.010842603663-2717.276552866173009.29823807349
165146.010842603663-2890.961269493343182.98295470066
166146.010842603663-3055.236494022093347.25817922941
167146.010842603663-3211.483671293863503.50535650119
168146.010842603663-3360.77605018733652.79773539463



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