Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 22 Dec 2011 07:22:45 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/22/t132455659081kt7m67yrq4yye.htm/, Retrieved Fri, 03 May 2024 08:35:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159359, Retrieved Fri, 03 May 2024 08:35:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [Workshop 5] [2010-12-07 13:27:14] [eb6e95800005ec22b7fd76eead8d8a59]
- R  D    [Exponential Smoothing] [Exponential Smoot...] [2011-12-22 12:22:45] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
169498
125451
140449
141653
136394
167588
191807
149736
196066
239155
178421
139871
118159
109763
97415
119190
97903
96953
87888
84637
90549
95680
99371
79984
86752
85733
84906
78356
108895
101768
73285
65724
67457
67203
69273
80807
75129
74991
68157
73858
71349
85634
91624
116014
120033
108651
105378
138939
132974
135277
152741
158417
157460
193997
154089
147570
162924
153629
155907
197675
250708
266652
209842
165826
137152
150581
145973
126532
115437
119526
110856
97243
103876
116370
109616
98365
90440
88899
92358
88394
98219
113546
107168
77540
74944
75641
75910
87384
84615
80420
80784
79933
82118
91420
112426
114528
131025
116460
111258
155318
155078
134794
139985
198778
172436
169585
203702
282392
220658
194472
269246
215340
218319
195724
174614
172085
152347
189615
173804
145683
133550
121156
112040
120767
127019
136295
113425
107815
100298
97048
98750
98235
101254
139589
134921
80355
80396
82183
79709
90781




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'AstonUniversity' @ aston.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 & 3 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159359&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159359&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159359&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 time3 seconds
R Server'AstonUniversity' @ aston.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.122832412218851
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.122832412218851 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159359&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.122832412218851[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159359&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159359&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
alpha1
beta0.122832412218851
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
31404498140459045
4141653103654.63977946237998.360220538
5136394109526.07002571226867.9299742885
6167588107567.32267578160020.6773242195
7191807146133.80725452445673.1927454763
8149736175962.955693187-26226.955693187
9196066130670.43546023665395.564539764
10239155185033.13040106954121.8695989313
11178421234770.0501977-56349.0501976995
12139871167114.560435675-27243.560435675
13118159125218.168189931-7059.16818993099
14109763102639.0735329037123.92646709681
159741595118.12260532642296.87739467359
1611919083052.253596285136137.7464037149
1797903109266.140159207-11363.1401592065
189695386583.378243070310369.6217569297
198788886907.103897271980.896102728962
208463777962.58973170536674.4102682947
219054975531.423645098215017.5763549018
229568083288.068774451612391.9312255484
239937189941.19957893589429.80042106422
247998494790.4847113974-14806.4847113974
258675273584.76847781513167.231522185
268573381970.1312879293762.86871207097
278490681413.33352869553492.66647130446
287835681015.3461764418-2659.34617644177
2910889574138.692270664534756.3077293355
30101768108946.893388879-7178.89338887943
3173285100938.092596861-27653.0925968614
326572469058.3965278777-3334.39652787767
336745761087.82455906436369.1754409357
346720363603.16574231953599.83425768051
356927363791.34206777845481.65793222155
368080766534.667334551814272.3326654482
377512979821.7723838387-4692.77238383872
387499173567.34783193781423.6521680622
396815773604.2184619015-5447.21846190147
407385866101.1234783437756.87652165694
417134972754.919332782-1405.91933278195
428563470073.226869751215560.7731302488
439162486269.594169335354.40583067005
4411601492917.288753509823096.7112464902
45120033120144.313510238-111.313510238484
46108651124149.640603263-15498.6406032633
47105378110863.905191851-5485.90519185149
48138939106917.05822393232021.9417760676
49132974144411.390576218-11437.3905762184
50135277137041.508302252-1764.50830225236
51152741139127.76949110713613.2305088935
52158417158263.915432605153.084567394864
53157460163958.719179292-6498.71917929174
54193997162203.46582616631793.5341738336
55154089202645.742321701-48556.7423217009
56147570156773.400532837-9203.4005328372
57162924149123.92464477313800.0753552275
58153629166173.021189457-12544.021189457
59155907155337.208807832569.791192168341
60197675157685.19763442739989.8023655732
61250708204365.24152314546342.7584768548
62266652263090.6343357333561.3656642671
63209842279472.085471068-69630.0854710682
64165826214109.254109652-48283.2541096521
65137152164162.505537588-27010.5055375878
66150581132170.73998715518410.2600128447
67145973147861.116634109-1888.11663410926
68126532143021.194713391-16489.1947133911
69115437121554.787151199-6117.78715119894
70119526109708.3245979769817.67540202432
71110856115003.253349988-4147.25334998801
7297243105823.836216926-8580.83621692627
7310387691156.831405546312719.1685944537
7411637099352.157565421317017.8424345787
75109616113936.500202421-4320.50020242094
7698365106651.802740566-8286.80274056554
779044094382.9147703601-3942.9147703601
788889985973.59703794342925.40296205657
799235884791.9313404857566.06865951499
808839489180.2898049467-786.28980494669
819821985119.70793150213099.292068498
8211354696553.725574634916992.2744253651
83107168113967.927631387-6799.92763138714
8477540106754.67611751-29214.6761175102
857494473538.1669778041405.83302219598
867564171114.84883909734526.15116090274
877591072367.80690425813542.1930957419
888738473071.90302675314312.096973247
898461586303.892421887-1688.89242188707
908042083327.4416917285-2907.44169172854
918078478775.31361534792008.68638465213
927993379386.0454093658546.954590634152
938211878602.22916110763515.77083889238
949142081219.079774057510200.9202259425
9511242691774.08341226220651.916587738
96114528115316.808143676-788.80814367639
97131025117321.91693661113703.0830633892
98116460135502.099684122-19042.0996841221
99111258118598.11264621-7340.1126462096
100155318112494.50890391842823.4910960824
101155078161814.621614882-6736.62161488185
102134794160747.14613172-25953.1461317203
103139985137275.2585876932709.74141230725
104198778142799.10266185655978.8973381442
105172436208468.125655251-36032.1256552514
106169585177700.212743644-8115.21274364414
107203702173852.40158667329849.5984133268
108282392211635.89976354670756.1002364539
109220658299017.042234789-78359.0422347885
110194472227658.012057931-33186.0120579306
111269246197395.69414493171850.3058550688
112215340280995.240531771-65655.2405317714
113218319219024.648962445-705.64896244512
114195724221916.972398208-26192.9723982083
115174614196104.626415355-21490.6264153546
116172085172354.880932662-269.880932662403
117152347169792.730806692-17445.7308066916
118189615147911.82960878541703.170391215
119173804190302.330625112-16498.3306251117
120145683172464.800876845-26781.8008768451
121133550141054.127671577-7504.12767157724
122121156127999.377568079-6843.37756807919
123112040114764.788993668-2724.78899366765
124120767105314.09658878815452.9034112119
125127019115939.21399057211079.7860094279
126136295123552.17083297912742.8291670212
127113425134393.403278057-20968.4032780568
128107815108947.803723035-1132.80372303541
129100298103198.658709164-2900.65870916448
1309704895325.36380289421722.63619710582
1319875092286.95936236026463.0406376398
1329823594782.830234153452.16976585005
13310125494691.86857387836562.1314261217
13413958998516.91100624641072.088993754
135134921141896.894772216-6975.89477221607
13680355136372.02878996-56017.0287899599
1378039674925.32201835635470.67798164368
1388218375638.29859131426544.70140868583
1397970978229.20005259521479.79994740484
1409078175936.967449736214844.0325502638

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 140449 & 81404 & 59045 \tabularnewline
4 & 141653 & 103654.639779462 & 37998.360220538 \tabularnewline
5 & 136394 & 109526.070025712 & 26867.9299742885 \tabularnewline
6 & 167588 & 107567.322675781 & 60020.6773242195 \tabularnewline
7 & 191807 & 146133.807254524 & 45673.1927454763 \tabularnewline
8 & 149736 & 175962.955693187 & -26226.955693187 \tabularnewline
9 & 196066 & 130670.435460236 & 65395.564539764 \tabularnewline
10 & 239155 & 185033.130401069 & 54121.8695989313 \tabularnewline
11 & 178421 & 234770.0501977 & -56349.0501976995 \tabularnewline
12 & 139871 & 167114.560435675 & -27243.560435675 \tabularnewline
13 & 118159 & 125218.168189931 & -7059.16818993099 \tabularnewline
14 & 109763 & 102639.073532903 & 7123.92646709681 \tabularnewline
15 & 97415 & 95118.1226053264 & 2296.87739467359 \tabularnewline
16 & 119190 & 83052.2535962851 & 36137.7464037149 \tabularnewline
17 & 97903 & 109266.140159207 & -11363.1401592065 \tabularnewline
18 & 96953 & 86583.3782430703 & 10369.6217569297 \tabularnewline
19 & 87888 & 86907.103897271 & 980.896102728962 \tabularnewline
20 & 84637 & 77962.5897317053 & 6674.4102682947 \tabularnewline
21 & 90549 & 75531.4236450982 & 15017.5763549018 \tabularnewline
22 & 95680 & 83288.0687744516 & 12391.9312255484 \tabularnewline
23 & 99371 & 89941.1995789358 & 9429.80042106422 \tabularnewline
24 & 79984 & 94790.4847113974 & -14806.4847113974 \tabularnewline
25 & 86752 & 73584.768477815 & 13167.231522185 \tabularnewline
26 & 85733 & 81970.131287929 & 3762.86871207097 \tabularnewline
27 & 84906 & 81413.3335286955 & 3492.66647130446 \tabularnewline
28 & 78356 & 81015.3461764418 & -2659.34617644177 \tabularnewline
29 & 108895 & 74138.6922706645 & 34756.3077293355 \tabularnewline
30 & 101768 & 108946.893388879 & -7178.89338887943 \tabularnewline
31 & 73285 & 100938.092596861 & -27653.0925968614 \tabularnewline
32 & 65724 & 69058.3965278777 & -3334.39652787767 \tabularnewline
33 & 67457 & 61087.8245590643 & 6369.1754409357 \tabularnewline
34 & 67203 & 63603.1657423195 & 3599.83425768051 \tabularnewline
35 & 69273 & 63791.3420677784 & 5481.65793222155 \tabularnewline
36 & 80807 & 66534.6673345518 & 14272.3326654482 \tabularnewline
37 & 75129 & 79821.7723838387 & -4692.77238383872 \tabularnewline
38 & 74991 & 73567.3478319378 & 1423.6521680622 \tabularnewline
39 & 68157 & 73604.2184619015 & -5447.21846190147 \tabularnewline
40 & 73858 & 66101.123478343 & 7756.87652165694 \tabularnewline
41 & 71349 & 72754.919332782 & -1405.91933278195 \tabularnewline
42 & 85634 & 70073.2268697512 & 15560.7731302488 \tabularnewline
43 & 91624 & 86269.59416933 & 5354.40583067005 \tabularnewline
44 & 116014 & 92917.2887535098 & 23096.7112464902 \tabularnewline
45 & 120033 & 120144.313510238 & -111.313510238484 \tabularnewline
46 & 108651 & 124149.640603263 & -15498.6406032633 \tabularnewline
47 & 105378 & 110863.905191851 & -5485.90519185149 \tabularnewline
48 & 138939 & 106917.058223932 & 32021.9417760676 \tabularnewline
49 & 132974 & 144411.390576218 & -11437.3905762184 \tabularnewline
50 & 135277 & 137041.508302252 & -1764.50830225236 \tabularnewline
51 & 152741 & 139127.769491107 & 13613.2305088935 \tabularnewline
52 & 158417 & 158263.915432605 & 153.084567394864 \tabularnewline
53 & 157460 & 163958.719179292 & -6498.71917929174 \tabularnewline
54 & 193997 & 162203.465826166 & 31793.5341738336 \tabularnewline
55 & 154089 & 202645.742321701 & -48556.7423217009 \tabularnewline
56 & 147570 & 156773.400532837 & -9203.4005328372 \tabularnewline
57 & 162924 & 149123.924644773 & 13800.0753552275 \tabularnewline
58 & 153629 & 166173.021189457 & -12544.021189457 \tabularnewline
59 & 155907 & 155337.208807832 & 569.791192168341 \tabularnewline
60 & 197675 & 157685.197634427 & 39989.8023655732 \tabularnewline
61 & 250708 & 204365.241523145 & 46342.7584768548 \tabularnewline
62 & 266652 & 263090.634335733 & 3561.3656642671 \tabularnewline
63 & 209842 & 279472.085471068 & -69630.0854710682 \tabularnewline
64 & 165826 & 214109.254109652 & -48283.2541096521 \tabularnewline
65 & 137152 & 164162.505537588 & -27010.5055375878 \tabularnewline
66 & 150581 & 132170.739987155 & 18410.2600128447 \tabularnewline
67 & 145973 & 147861.116634109 & -1888.11663410926 \tabularnewline
68 & 126532 & 143021.194713391 & -16489.1947133911 \tabularnewline
69 & 115437 & 121554.787151199 & -6117.78715119894 \tabularnewline
70 & 119526 & 109708.324597976 & 9817.67540202432 \tabularnewline
71 & 110856 & 115003.253349988 & -4147.25334998801 \tabularnewline
72 & 97243 & 105823.836216926 & -8580.83621692627 \tabularnewline
73 & 103876 & 91156.8314055463 & 12719.1685944537 \tabularnewline
74 & 116370 & 99352.1575654213 & 17017.8424345787 \tabularnewline
75 & 109616 & 113936.500202421 & -4320.50020242094 \tabularnewline
76 & 98365 & 106651.802740566 & -8286.80274056554 \tabularnewline
77 & 90440 & 94382.9147703601 & -3942.9147703601 \tabularnewline
78 & 88899 & 85973.5970379434 & 2925.40296205657 \tabularnewline
79 & 92358 & 84791.931340485 & 7566.06865951499 \tabularnewline
80 & 88394 & 89180.2898049467 & -786.28980494669 \tabularnewline
81 & 98219 & 85119.707931502 & 13099.292068498 \tabularnewline
82 & 113546 & 96553.7255746349 & 16992.2744253651 \tabularnewline
83 & 107168 & 113967.927631387 & -6799.92763138714 \tabularnewline
84 & 77540 & 106754.67611751 & -29214.6761175102 \tabularnewline
85 & 74944 & 73538.166977804 & 1405.83302219598 \tabularnewline
86 & 75641 & 71114.8488390973 & 4526.15116090274 \tabularnewline
87 & 75910 & 72367.8069042581 & 3542.1930957419 \tabularnewline
88 & 87384 & 73071.903026753 & 14312.096973247 \tabularnewline
89 & 84615 & 86303.892421887 & -1688.89242188707 \tabularnewline
90 & 80420 & 83327.4416917285 & -2907.44169172854 \tabularnewline
91 & 80784 & 78775.3136153479 & 2008.68638465213 \tabularnewline
92 & 79933 & 79386.0454093658 & 546.954590634152 \tabularnewline
93 & 82118 & 78602.2291611076 & 3515.77083889238 \tabularnewline
94 & 91420 & 81219.0797740575 & 10200.9202259425 \tabularnewline
95 & 112426 & 91774.083412262 & 20651.916587738 \tabularnewline
96 & 114528 & 115316.808143676 & -788.80814367639 \tabularnewline
97 & 131025 & 117321.916936611 & 13703.0830633892 \tabularnewline
98 & 116460 & 135502.099684122 & -19042.0996841221 \tabularnewline
99 & 111258 & 118598.11264621 & -7340.1126462096 \tabularnewline
100 & 155318 & 112494.508903918 & 42823.4910960824 \tabularnewline
101 & 155078 & 161814.621614882 & -6736.62161488185 \tabularnewline
102 & 134794 & 160747.14613172 & -25953.1461317203 \tabularnewline
103 & 139985 & 137275.258587693 & 2709.74141230725 \tabularnewline
104 & 198778 & 142799.102661856 & 55978.8973381442 \tabularnewline
105 & 172436 & 208468.125655251 & -36032.1256552514 \tabularnewline
106 & 169585 & 177700.212743644 & -8115.21274364414 \tabularnewline
107 & 203702 & 173852.401586673 & 29849.5984133268 \tabularnewline
108 & 282392 & 211635.899763546 & 70756.1002364539 \tabularnewline
109 & 220658 & 299017.042234789 & -78359.0422347885 \tabularnewline
110 & 194472 & 227658.012057931 & -33186.0120579306 \tabularnewline
111 & 269246 & 197395.694144931 & 71850.3058550688 \tabularnewline
112 & 215340 & 280995.240531771 & -65655.2405317714 \tabularnewline
113 & 218319 & 219024.648962445 & -705.64896244512 \tabularnewline
114 & 195724 & 221916.972398208 & -26192.9723982083 \tabularnewline
115 & 174614 & 196104.626415355 & -21490.6264153546 \tabularnewline
116 & 172085 & 172354.880932662 & -269.880932662403 \tabularnewline
117 & 152347 & 169792.730806692 & -17445.7308066916 \tabularnewline
118 & 189615 & 147911.829608785 & 41703.170391215 \tabularnewline
119 & 173804 & 190302.330625112 & -16498.3306251117 \tabularnewline
120 & 145683 & 172464.800876845 & -26781.8008768451 \tabularnewline
121 & 133550 & 141054.127671577 & -7504.12767157724 \tabularnewline
122 & 121156 & 127999.377568079 & -6843.37756807919 \tabularnewline
123 & 112040 & 114764.788993668 & -2724.78899366765 \tabularnewline
124 & 120767 & 105314.096588788 & 15452.9034112119 \tabularnewline
125 & 127019 & 115939.213990572 & 11079.7860094279 \tabularnewline
126 & 136295 & 123552.170832979 & 12742.8291670212 \tabularnewline
127 & 113425 & 134393.403278057 & -20968.4032780568 \tabularnewline
128 & 107815 & 108947.803723035 & -1132.80372303541 \tabularnewline
129 & 100298 & 103198.658709164 & -2900.65870916448 \tabularnewline
130 & 97048 & 95325.3638028942 & 1722.63619710582 \tabularnewline
131 & 98750 & 92286.9593623602 & 6463.0406376398 \tabularnewline
132 & 98235 & 94782.83023415 & 3452.16976585005 \tabularnewline
133 & 101254 & 94691.8685738783 & 6562.1314261217 \tabularnewline
134 & 139589 & 98516.911006246 & 41072.088993754 \tabularnewline
135 & 134921 & 141896.894772216 & -6975.89477221607 \tabularnewline
136 & 80355 & 136372.02878996 & -56017.0287899599 \tabularnewline
137 & 80396 & 74925.3220183563 & 5470.67798164368 \tabularnewline
138 & 82183 & 75638.2985913142 & 6544.70140868583 \tabularnewline
139 & 79709 & 78229.2000525952 & 1479.79994740484 \tabularnewline
140 & 90781 & 75936.9674497362 & 14844.0325502638 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159359&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]140449[/C][C]81404[/C][C]59045[/C][/ROW]
[ROW][C]4[/C][C]141653[/C][C]103654.639779462[/C][C]37998.360220538[/C][/ROW]
[ROW][C]5[/C][C]136394[/C][C]109526.070025712[/C][C]26867.9299742885[/C][/ROW]
[ROW][C]6[/C][C]167588[/C][C]107567.322675781[/C][C]60020.6773242195[/C][/ROW]
[ROW][C]7[/C][C]191807[/C][C]146133.807254524[/C][C]45673.1927454763[/C][/ROW]
[ROW][C]8[/C][C]149736[/C][C]175962.955693187[/C][C]-26226.955693187[/C][/ROW]
[ROW][C]9[/C][C]196066[/C][C]130670.435460236[/C][C]65395.564539764[/C][/ROW]
[ROW][C]10[/C][C]239155[/C][C]185033.130401069[/C][C]54121.8695989313[/C][/ROW]
[ROW][C]11[/C][C]178421[/C][C]234770.0501977[/C][C]-56349.0501976995[/C][/ROW]
[ROW][C]12[/C][C]139871[/C][C]167114.560435675[/C][C]-27243.560435675[/C][/ROW]
[ROW][C]13[/C][C]118159[/C][C]125218.168189931[/C][C]-7059.16818993099[/C][/ROW]
[ROW][C]14[/C][C]109763[/C][C]102639.073532903[/C][C]7123.92646709681[/C][/ROW]
[ROW][C]15[/C][C]97415[/C][C]95118.1226053264[/C][C]2296.87739467359[/C][/ROW]
[ROW][C]16[/C][C]119190[/C][C]83052.2535962851[/C][C]36137.7464037149[/C][/ROW]
[ROW][C]17[/C][C]97903[/C][C]109266.140159207[/C][C]-11363.1401592065[/C][/ROW]
[ROW][C]18[/C][C]96953[/C][C]86583.3782430703[/C][C]10369.6217569297[/C][/ROW]
[ROW][C]19[/C][C]87888[/C][C]86907.103897271[/C][C]980.896102728962[/C][/ROW]
[ROW][C]20[/C][C]84637[/C][C]77962.5897317053[/C][C]6674.4102682947[/C][/ROW]
[ROW][C]21[/C][C]90549[/C][C]75531.4236450982[/C][C]15017.5763549018[/C][/ROW]
[ROW][C]22[/C][C]95680[/C][C]83288.0687744516[/C][C]12391.9312255484[/C][/ROW]
[ROW][C]23[/C][C]99371[/C][C]89941.1995789358[/C][C]9429.80042106422[/C][/ROW]
[ROW][C]24[/C][C]79984[/C][C]94790.4847113974[/C][C]-14806.4847113974[/C][/ROW]
[ROW][C]25[/C][C]86752[/C][C]73584.768477815[/C][C]13167.231522185[/C][/ROW]
[ROW][C]26[/C][C]85733[/C][C]81970.131287929[/C][C]3762.86871207097[/C][/ROW]
[ROW][C]27[/C][C]84906[/C][C]81413.3335286955[/C][C]3492.66647130446[/C][/ROW]
[ROW][C]28[/C][C]78356[/C][C]81015.3461764418[/C][C]-2659.34617644177[/C][/ROW]
[ROW][C]29[/C][C]108895[/C][C]74138.6922706645[/C][C]34756.3077293355[/C][/ROW]
[ROW][C]30[/C][C]101768[/C][C]108946.893388879[/C][C]-7178.89338887943[/C][/ROW]
[ROW][C]31[/C][C]73285[/C][C]100938.092596861[/C][C]-27653.0925968614[/C][/ROW]
[ROW][C]32[/C][C]65724[/C][C]69058.3965278777[/C][C]-3334.39652787767[/C][/ROW]
[ROW][C]33[/C][C]67457[/C][C]61087.8245590643[/C][C]6369.1754409357[/C][/ROW]
[ROW][C]34[/C][C]67203[/C][C]63603.1657423195[/C][C]3599.83425768051[/C][/ROW]
[ROW][C]35[/C][C]69273[/C][C]63791.3420677784[/C][C]5481.65793222155[/C][/ROW]
[ROW][C]36[/C][C]80807[/C][C]66534.6673345518[/C][C]14272.3326654482[/C][/ROW]
[ROW][C]37[/C][C]75129[/C][C]79821.7723838387[/C][C]-4692.77238383872[/C][/ROW]
[ROW][C]38[/C][C]74991[/C][C]73567.3478319378[/C][C]1423.6521680622[/C][/ROW]
[ROW][C]39[/C][C]68157[/C][C]73604.2184619015[/C][C]-5447.21846190147[/C][/ROW]
[ROW][C]40[/C][C]73858[/C][C]66101.123478343[/C][C]7756.87652165694[/C][/ROW]
[ROW][C]41[/C][C]71349[/C][C]72754.919332782[/C][C]-1405.91933278195[/C][/ROW]
[ROW][C]42[/C][C]85634[/C][C]70073.2268697512[/C][C]15560.7731302488[/C][/ROW]
[ROW][C]43[/C][C]91624[/C][C]86269.59416933[/C][C]5354.40583067005[/C][/ROW]
[ROW][C]44[/C][C]116014[/C][C]92917.2887535098[/C][C]23096.7112464902[/C][/ROW]
[ROW][C]45[/C][C]120033[/C][C]120144.313510238[/C][C]-111.313510238484[/C][/ROW]
[ROW][C]46[/C][C]108651[/C][C]124149.640603263[/C][C]-15498.6406032633[/C][/ROW]
[ROW][C]47[/C][C]105378[/C][C]110863.905191851[/C][C]-5485.90519185149[/C][/ROW]
[ROW][C]48[/C][C]138939[/C][C]106917.058223932[/C][C]32021.9417760676[/C][/ROW]
[ROW][C]49[/C][C]132974[/C][C]144411.390576218[/C][C]-11437.3905762184[/C][/ROW]
[ROW][C]50[/C][C]135277[/C][C]137041.508302252[/C][C]-1764.50830225236[/C][/ROW]
[ROW][C]51[/C][C]152741[/C][C]139127.769491107[/C][C]13613.2305088935[/C][/ROW]
[ROW][C]52[/C][C]158417[/C][C]158263.915432605[/C][C]153.084567394864[/C][/ROW]
[ROW][C]53[/C][C]157460[/C][C]163958.719179292[/C][C]-6498.71917929174[/C][/ROW]
[ROW][C]54[/C][C]193997[/C][C]162203.465826166[/C][C]31793.5341738336[/C][/ROW]
[ROW][C]55[/C][C]154089[/C][C]202645.742321701[/C][C]-48556.7423217009[/C][/ROW]
[ROW][C]56[/C][C]147570[/C][C]156773.400532837[/C][C]-9203.4005328372[/C][/ROW]
[ROW][C]57[/C][C]162924[/C][C]149123.924644773[/C][C]13800.0753552275[/C][/ROW]
[ROW][C]58[/C][C]153629[/C][C]166173.021189457[/C][C]-12544.021189457[/C][/ROW]
[ROW][C]59[/C][C]155907[/C][C]155337.208807832[/C][C]569.791192168341[/C][/ROW]
[ROW][C]60[/C][C]197675[/C][C]157685.197634427[/C][C]39989.8023655732[/C][/ROW]
[ROW][C]61[/C][C]250708[/C][C]204365.241523145[/C][C]46342.7584768548[/C][/ROW]
[ROW][C]62[/C][C]266652[/C][C]263090.634335733[/C][C]3561.3656642671[/C][/ROW]
[ROW][C]63[/C][C]209842[/C][C]279472.085471068[/C][C]-69630.0854710682[/C][/ROW]
[ROW][C]64[/C][C]165826[/C][C]214109.254109652[/C][C]-48283.2541096521[/C][/ROW]
[ROW][C]65[/C][C]137152[/C][C]164162.505537588[/C][C]-27010.5055375878[/C][/ROW]
[ROW][C]66[/C][C]150581[/C][C]132170.739987155[/C][C]18410.2600128447[/C][/ROW]
[ROW][C]67[/C][C]145973[/C][C]147861.116634109[/C][C]-1888.11663410926[/C][/ROW]
[ROW][C]68[/C][C]126532[/C][C]143021.194713391[/C][C]-16489.1947133911[/C][/ROW]
[ROW][C]69[/C][C]115437[/C][C]121554.787151199[/C][C]-6117.78715119894[/C][/ROW]
[ROW][C]70[/C][C]119526[/C][C]109708.324597976[/C][C]9817.67540202432[/C][/ROW]
[ROW][C]71[/C][C]110856[/C][C]115003.253349988[/C][C]-4147.25334998801[/C][/ROW]
[ROW][C]72[/C][C]97243[/C][C]105823.836216926[/C][C]-8580.83621692627[/C][/ROW]
[ROW][C]73[/C][C]103876[/C][C]91156.8314055463[/C][C]12719.1685944537[/C][/ROW]
[ROW][C]74[/C][C]116370[/C][C]99352.1575654213[/C][C]17017.8424345787[/C][/ROW]
[ROW][C]75[/C][C]109616[/C][C]113936.500202421[/C][C]-4320.50020242094[/C][/ROW]
[ROW][C]76[/C][C]98365[/C][C]106651.802740566[/C][C]-8286.80274056554[/C][/ROW]
[ROW][C]77[/C][C]90440[/C][C]94382.9147703601[/C][C]-3942.9147703601[/C][/ROW]
[ROW][C]78[/C][C]88899[/C][C]85973.5970379434[/C][C]2925.40296205657[/C][/ROW]
[ROW][C]79[/C][C]92358[/C][C]84791.931340485[/C][C]7566.06865951499[/C][/ROW]
[ROW][C]80[/C][C]88394[/C][C]89180.2898049467[/C][C]-786.28980494669[/C][/ROW]
[ROW][C]81[/C][C]98219[/C][C]85119.707931502[/C][C]13099.292068498[/C][/ROW]
[ROW][C]82[/C][C]113546[/C][C]96553.7255746349[/C][C]16992.2744253651[/C][/ROW]
[ROW][C]83[/C][C]107168[/C][C]113967.927631387[/C][C]-6799.92763138714[/C][/ROW]
[ROW][C]84[/C][C]77540[/C][C]106754.67611751[/C][C]-29214.6761175102[/C][/ROW]
[ROW][C]85[/C][C]74944[/C][C]73538.166977804[/C][C]1405.83302219598[/C][/ROW]
[ROW][C]86[/C][C]75641[/C][C]71114.8488390973[/C][C]4526.15116090274[/C][/ROW]
[ROW][C]87[/C][C]75910[/C][C]72367.8069042581[/C][C]3542.1930957419[/C][/ROW]
[ROW][C]88[/C][C]87384[/C][C]73071.903026753[/C][C]14312.096973247[/C][/ROW]
[ROW][C]89[/C][C]84615[/C][C]86303.892421887[/C][C]-1688.89242188707[/C][/ROW]
[ROW][C]90[/C][C]80420[/C][C]83327.4416917285[/C][C]-2907.44169172854[/C][/ROW]
[ROW][C]91[/C][C]80784[/C][C]78775.3136153479[/C][C]2008.68638465213[/C][/ROW]
[ROW][C]92[/C][C]79933[/C][C]79386.0454093658[/C][C]546.954590634152[/C][/ROW]
[ROW][C]93[/C][C]82118[/C][C]78602.2291611076[/C][C]3515.77083889238[/C][/ROW]
[ROW][C]94[/C][C]91420[/C][C]81219.0797740575[/C][C]10200.9202259425[/C][/ROW]
[ROW][C]95[/C][C]112426[/C][C]91774.083412262[/C][C]20651.916587738[/C][/ROW]
[ROW][C]96[/C][C]114528[/C][C]115316.808143676[/C][C]-788.80814367639[/C][/ROW]
[ROW][C]97[/C][C]131025[/C][C]117321.916936611[/C][C]13703.0830633892[/C][/ROW]
[ROW][C]98[/C][C]116460[/C][C]135502.099684122[/C][C]-19042.0996841221[/C][/ROW]
[ROW][C]99[/C][C]111258[/C][C]118598.11264621[/C][C]-7340.1126462096[/C][/ROW]
[ROW][C]100[/C][C]155318[/C][C]112494.508903918[/C][C]42823.4910960824[/C][/ROW]
[ROW][C]101[/C][C]155078[/C][C]161814.621614882[/C][C]-6736.62161488185[/C][/ROW]
[ROW][C]102[/C][C]134794[/C][C]160747.14613172[/C][C]-25953.1461317203[/C][/ROW]
[ROW][C]103[/C][C]139985[/C][C]137275.258587693[/C][C]2709.74141230725[/C][/ROW]
[ROW][C]104[/C][C]198778[/C][C]142799.102661856[/C][C]55978.8973381442[/C][/ROW]
[ROW][C]105[/C][C]172436[/C][C]208468.125655251[/C][C]-36032.1256552514[/C][/ROW]
[ROW][C]106[/C][C]169585[/C][C]177700.212743644[/C][C]-8115.21274364414[/C][/ROW]
[ROW][C]107[/C][C]203702[/C][C]173852.401586673[/C][C]29849.5984133268[/C][/ROW]
[ROW][C]108[/C][C]282392[/C][C]211635.899763546[/C][C]70756.1002364539[/C][/ROW]
[ROW][C]109[/C][C]220658[/C][C]299017.042234789[/C][C]-78359.0422347885[/C][/ROW]
[ROW][C]110[/C][C]194472[/C][C]227658.012057931[/C][C]-33186.0120579306[/C][/ROW]
[ROW][C]111[/C][C]269246[/C][C]197395.694144931[/C][C]71850.3058550688[/C][/ROW]
[ROW][C]112[/C][C]215340[/C][C]280995.240531771[/C][C]-65655.2405317714[/C][/ROW]
[ROW][C]113[/C][C]218319[/C][C]219024.648962445[/C][C]-705.64896244512[/C][/ROW]
[ROW][C]114[/C][C]195724[/C][C]221916.972398208[/C][C]-26192.9723982083[/C][/ROW]
[ROW][C]115[/C][C]174614[/C][C]196104.626415355[/C][C]-21490.6264153546[/C][/ROW]
[ROW][C]116[/C][C]172085[/C][C]172354.880932662[/C][C]-269.880932662403[/C][/ROW]
[ROW][C]117[/C][C]152347[/C][C]169792.730806692[/C][C]-17445.7308066916[/C][/ROW]
[ROW][C]118[/C][C]189615[/C][C]147911.829608785[/C][C]41703.170391215[/C][/ROW]
[ROW][C]119[/C][C]173804[/C][C]190302.330625112[/C][C]-16498.3306251117[/C][/ROW]
[ROW][C]120[/C][C]145683[/C][C]172464.800876845[/C][C]-26781.8008768451[/C][/ROW]
[ROW][C]121[/C][C]133550[/C][C]141054.127671577[/C][C]-7504.12767157724[/C][/ROW]
[ROW][C]122[/C][C]121156[/C][C]127999.377568079[/C][C]-6843.37756807919[/C][/ROW]
[ROW][C]123[/C][C]112040[/C][C]114764.788993668[/C][C]-2724.78899366765[/C][/ROW]
[ROW][C]124[/C][C]120767[/C][C]105314.096588788[/C][C]15452.9034112119[/C][/ROW]
[ROW][C]125[/C][C]127019[/C][C]115939.213990572[/C][C]11079.7860094279[/C][/ROW]
[ROW][C]126[/C][C]136295[/C][C]123552.170832979[/C][C]12742.8291670212[/C][/ROW]
[ROW][C]127[/C][C]113425[/C][C]134393.403278057[/C][C]-20968.4032780568[/C][/ROW]
[ROW][C]128[/C][C]107815[/C][C]108947.803723035[/C][C]-1132.80372303541[/C][/ROW]
[ROW][C]129[/C][C]100298[/C][C]103198.658709164[/C][C]-2900.65870916448[/C][/ROW]
[ROW][C]130[/C][C]97048[/C][C]95325.3638028942[/C][C]1722.63619710582[/C][/ROW]
[ROW][C]131[/C][C]98750[/C][C]92286.9593623602[/C][C]6463.0406376398[/C][/ROW]
[ROW][C]132[/C][C]98235[/C][C]94782.83023415[/C][C]3452.16976585005[/C][/ROW]
[ROW][C]133[/C][C]101254[/C][C]94691.8685738783[/C][C]6562.1314261217[/C][/ROW]
[ROW][C]134[/C][C]139589[/C][C]98516.911006246[/C][C]41072.088993754[/C][/ROW]
[ROW][C]135[/C][C]134921[/C][C]141896.894772216[/C][C]-6975.89477221607[/C][/ROW]
[ROW][C]136[/C][C]80355[/C][C]136372.02878996[/C][C]-56017.0287899599[/C][/ROW]
[ROW][C]137[/C][C]80396[/C][C]74925.3220183563[/C][C]5470.67798164368[/C][/ROW]
[ROW][C]138[/C][C]82183[/C][C]75638.2985913142[/C][C]6544.70140868583[/C][/ROW]
[ROW][C]139[/C][C]79709[/C][C]78229.2000525952[/C][C]1479.79994740484[/C][/ROW]
[ROW][C]140[/C][C]90781[/C][C]75936.9674497362[/C][C]14844.0325502638[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159359&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159359&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
31404498140459045
4141653103654.63977946237998.360220538
5136394109526.07002571226867.9299742885
6167588107567.32267578160020.6773242195
7191807146133.80725452445673.1927454763
8149736175962.955693187-26226.955693187
9196066130670.43546023665395.564539764
10239155185033.13040106954121.8695989313
11178421234770.0501977-56349.0501976995
12139871167114.560435675-27243.560435675
13118159125218.168189931-7059.16818993099
14109763102639.0735329037123.92646709681
159741595118.12260532642296.87739467359
1611919083052.253596285136137.7464037149
1797903109266.140159207-11363.1401592065
189695386583.378243070310369.6217569297
198788886907.103897271980.896102728962
208463777962.58973170536674.4102682947
219054975531.423645098215017.5763549018
229568083288.068774451612391.9312255484
239937189941.19957893589429.80042106422
247998494790.4847113974-14806.4847113974
258675273584.76847781513167.231522185
268573381970.1312879293762.86871207097
278490681413.33352869553492.66647130446
287835681015.3461764418-2659.34617644177
2910889574138.692270664534756.3077293355
30101768108946.893388879-7178.89338887943
3173285100938.092596861-27653.0925968614
326572469058.3965278777-3334.39652787767
336745761087.82455906436369.1754409357
346720363603.16574231953599.83425768051
356927363791.34206777845481.65793222155
368080766534.667334551814272.3326654482
377512979821.7723838387-4692.77238383872
387499173567.34783193781423.6521680622
396815773604.2184619015-5447.21846190147
407385866101.1234783437756.87652165694
417134972754.919332782-1405.91933278195
428563470073.226869751215560.7731302488
439162486269.594169335354.40583067005
4411601492917.288753509823096.7112464902
45120033120144.313510238-111.313510238484
46108651124149.640603263-15498.6406032633
47105378110863.905191851-5485.90519185149
48138939106917.05822393232021.9417760676
49132974144411.390576218-11437.3905762184
50135277137041.508302252-1764.50830225236
51152741139127.76949110713613.2305088935
52158417158263.915432605153.084567394864
53157460163958.719179292-6498.71917929174
54193997162203.46582616631793.5341738336
55154089202645.742321701-48556.7423217009
56147570156773.400532837-9203.4005328372
57162924149123.92464477313800.0753552275
58153629166173.021189457-12544.021189457
59155907155337.208807832569.791192168341
60197675157685.19763442739989.8023655732
61250708204365.24152314546342.7584768548
62266652263090.6343357333561.3656642671
63209842279472.085471068-69630.0854710682
64165826214109.254109652-48283.2541096521
65137152164162.505537588-27010.5055375878
66150581132170.73998715518410.2600128447
67145973147861.116634109-1888.11663410926
68126532143021.194713391-16489.1947133911
69115437121554.787151199-6117.78715119894
70119526109708.3245979769817.67540202432
71110856115003.253349988-4147.25334998801
7297243105823.836216926-8580.83621692627
7310387691156.831405546312719.1685944537
7411637099352.157565421317017.8424345787
75109616113936.500202421-4320.50020242094
7698365106651.802740566-8286.80274056554
779044094382.9147703601-3942.9147703601
788889985973.59703794342925.40296205657
799235884791.9313404857566.06865951499
808839489180.2898049467-786.28980494669
819821985119.70793150213099.292068498
8211354696553.725574634916992.2744253651
83107168113967.927631387-6799.92763138714
8477540106754.67611751-29214.6761175102
857494473538.1669778041405.83302219598
867564171114.84883909734526.15116090274
877591072367.80690425813542.1930957419
888738473071.90302675314312.096973247
898461586303.892421887-1688.89242188707
908042083327.4416917285-2907.44169172854
918078478775.31361534792008.68638465213
927993379386.0454093658546.954590634152
938211878602.22916110763515.77083889238
949142081219.079774057510200.9202259425
9511242691774.08341226220651.916587738
96114528115316.808143676-788.80814367639
97131025117321.91693661113703.0830633892
98116460135502.099684122-19042.0996841221
99111258118598.11264621-7340.1126462096
100155318112494.50890391842823.4910960824
101155078161814.621614882-6736.62161488185
102134794160747.14613172-25953.1461317203
103139985137275.2585876932709.74141230725
104198778142799.10266185655978.8973381442
105172436208468.125655251-36032.1256552514
106169585177700.212743644-8115.21274364414
107203702173852.40158667329849.5984133268
108282392211635.89976354670756.1002364539
109220658299017.042234789-78359.0422347885
110194472227658.012057931-33186.0120579306
111269246197395.69414493171850.3058550688
112215340280995.240531771-65655.2405317714
113218319219024.648962445-705.64896244512
114195724221916.972398208-26192.9723982083
115174614196104.626415355-21490.6264153546
116172085172354.880932662-269.880932662403
117152347169792.730806692-17445.7308066916
118189615147911.82960878541703.170391215
119173804190302.330625112-16498.3306251117
120145683172464.800876845-26781.8008768451
121133550141054.127671577-7504.12767157724
122121156127999.377568079-6843.37756807919
123112040114764.788993668-2724.78899366765
124120767105314.09658878815452.9034112119
125127019115939.21399057211079.7860094279
126136295123552.17083297912742.8291670212
127113425134393.403278057-20968.4032780568
128107815108947.803723035-1132.80372303541
129100298103198.658709164-2900.65870916448
1309704895325.36380289421722.63619710582
1319875092286.95936236026463.0406376398
1329823594782.830234153452.16976585005
13310125494691.86857387836562.1314261217
13413958998516.91100624641072.088993754
135134921141896.894772216-6975.89477221607
13680355136372.02878996-56017.0287899599
1378039674925.32201835635470.67798164368
1388218375638.29859131426544.70140868583
1397970978229.20005259521479.79994740484
1409078175936.967449736214844.0325502638







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
14188832.295774940338684.878512053138979.713037827
14286883.591549880511482.9410780407162284.24202172
14384934.8873248208-12980.2208251693182849.995474811
14482986.183099761-36583.7918069443202556.158006466
14581037.4788747013-59994.3405164673222069.29826587
14679088.7746496416-83521.9213470004241699.470646284
14777140.0704245818-107331.218718435261611.359567598
14875191.3661995221-131516.429447412281899.161846456
14973242.6619744623-156133.648366439302618.972315364
15071293.9577494026-181216.790368313323804.705867118
15169345.2535243429-206786.156845814345476.6638945
15267396.5492992831-232853.363079464367646.46167803

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
141 & 88832.2957749403 & 38684.878512053 & 138979.713037827 \tabularnewline
142 & 86883.5915498805 & 11482.9410780407 & 162284.24202172 \tabularnewline
143 & 84934.8873248208 & -12980.2208251693 & 182849.995474811 \tabularnewline
144 & 82986.183099761 & -36583.7918069443 & 202556.158006466 \tabularnewline
145 & 81037.4788747013 & -59994.3405164673 & 222069.29826587 \tabularnewline
146 & 79088.7746496416 & -83521.9213470004 & 241699.470646284 \tabularnewline
147 & 77140.0704245818 & -107331.218718435 & 261611.359567598 \tabularnewline
148 & 75191.3661995221 & -131516.429447412 & 281899.161846456 \tabularnewline
149 & 73242.6619744623 & -156133.648366439 & 302618.972315364 \tabularnewline
150 & 71293.9577494026 & -181216.790368313 & 323804.705867118 \tabularnewline
151 & 69345.2535243429 & -206786.156845814 & 345476.6638945 \tabularnewline
152 & 67396.5492992831 & -232853.363079464 & 367646.46167803 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159359&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]141[/C][C]88832.2957749403[/C][C]38684.878512053[/C][C]138979.713037827[/C][/ROW]
[ROW][C]142[/C][C]86883.5915498805[/C][C]11482.9410780407[/C][C]162284.24202172[/C][/ROW]
[ROW][C]143[/C][C]84934.8873248208[/C][C]-12980.2208251693[/C][C]182849.995474811[/C][/ROW]
[ROW][C]144[/C][C]82986.183099761[/C][C]-36583.7918069443[/C][C]202556.158006466[/C][/ROW]
[ROW][C]145[/C][C]81037.4788747013[/C][C]-59994.3405164673[/C][C]222069.29826587[/C][/ROW]
[ROW][C]146[/C][C]79088.7746496416[/C][C]-83521.9213470004[/C][C]241699.470646284[/C][/ROW]
[ROW][C]147[/C][C]77140.0704245818[/C][C]-107331.218718435[/C][C]261611.359567598[/C][/ROW]
[ROW][C]148[/C][C]75191.3661995221[/C][C]-131516.429447412[/C][C]281899.161846456[/C][/ROW]
[ROW][C]149[/C][C]73242.6619744623[/C][C]-156133.648366439[/C][C]302618.972315364[/C][/ROW]
[ROW][C]150[/C][C]71293.9577494026[/C][C]-181216.790368313[/C][C]323804.705867118[/C][/ROW]
[ROW][C]151[/C][C]69345.2535243429[/C][C]-206786.156845814[/C][C]345476.6638945[/C][/ROW]
[ROW][C]152[/C][C]67396.5492992831[/C][C]-232853.363079464[/C][C]367646.46167803[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159359&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159359&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
14188832.295774940338684.878512053138979.713037827
14286883.591549880511482.9410780407162284.24202172
14384934.8873248208-12980.2208251693182849.995474811
14482986.183099761-36583.7918069443202556.158006466
14581037.4788747013-59994.3405164673222069.29826587
14679088.7746496416-83521.9213470004241699.470646284
14777140.0704245818-107331.218718435261611.359567598
14875191.3661995221-131516.429447412281899.161846456
14973242.6619744623-156133.648366439302618.972315364
15071293.9577494026-181216.790368313323804.705867118
15169345.2535243429-206786.156845814345476.6638945
15267396.5492992831-232853.363079464367646.46167803



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')