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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 18 Aug 2013 11:00:15 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/18/t1376838042t2qx0945mcsng7v.htm/, Retrieved Mon, 06 May 2024 03:41:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211189, Retrieved Mon, 06 May 2024 03:41:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsJespers Eva
Estimated Impact157
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Tijdreeks A - Stap 3] [2013-08-18 09:07:17] [b1b8dc218b2120b615e99c976a670bd0]
- RMPD  [Harrell-Davis Quantiles] [Tijdreeks A - Sta...] [2013-08-18 11:01:33] [b1b8dc218b2120b615e99c976a670bd0]
- RMP     [Mean Plot] [Tijdreeks A - Sta...] [2013-08-18 13:01:51] [b1b8dc218b2120b615e99c976a670bd0]
- RMP         [Exponential Smoothing] [Tijdreeks A - Sta...] [2013-08-18 15:00:15] [987ccabfb1247e6edeac48c68eb55107] [Current]
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Dataseries X:
2443.6
2460.2
2448.2
2470.4
2484.7
2466.8
2487.9
2508.4
2510.5
2497.4
2532.5
2556.8
2561
2547.3
2541.5
2558.5
2587.9
2580.5
2579.6
2589.3
2595
2595.6
2588.8
2591.7
2601.7
2585.4
2573.3
2597.4
2600.6
2570.6
2569.4
2584.9
2608.8
2617.2
2621
2540.5
2554.5
2601.9
2623
2640.7
2640.7
2619.8
2624.2
2638.2
2645.7
2679.6
2669
2664.6
2663.3
2667.4
2653.2
2630.8
2626.6
2641.9
2625.8
2606
2594.4
2583.6
2588.7
2600.3
2579.5
2576.6
2597.8
2595.6
2599
2621.7
2645.6
2644.2
2625.6
2624.6
2596.2
2599.5
2584.1
2570.8
2555
2574.5
2576.7
2579
2588.7
2601.1
2575.7
2559.5
2561.1
2528.3
2514.7
2558.5
2553.3
2577.1
2566
2549.5
2527.8
2540.9
2534.2
2538
2559
2554.9
2575.5
2546.5
2561.6
2546.6
2502.9
2463.1
2472.6
2463.5
2446.3
2456.2
2471.5
2447.5
2428.6
2420.2
2414.9
2420.2
2423.8
2407
2388.7
2409.6
2392
2380.2
2423.3
2451.6
2440.8
2432.9
2413.6
2391.6
2358.1
2345.4
2384.4
2384.4
2384.4
2418.7
2420
2493.1
2493.1
2492.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211189&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]6 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=211189&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211189&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 time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0601069458427053
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0601069458427053 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211189&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]0.0601069458427053[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211189&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211189&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
beta0.0601069458427053
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
32448.22476.8-28.5999999999999
42470.42463.08094134897.31905865110184
52484.72485.72086761086-1.02086761086002
62466.82499.95950637666-33.1595063766608
72487.92480.066389722717.83361027729143
82508.42501.63724411146.76275588860153
92510.52522.54373271334-12.0437327133423
102497.42523.9198207234-26.5198207233971
112532.52509.2257952954223.2742047045822
122556.82545.7247366571311.0752633428719
1325612570.69043691107-9.69043691107208
142547.32574.30797434447-27.0079743444658
152541.52558.98460749322-17.484607493222
162558.52552.133661137556.36633886245409
172587.92569.5163223227718.3836776772323
182580.52600.0213090413-19.5213090413031
192579.62591.44794277598-11.8479427759785
202589.32589.8357991212-0.535799121194941
2125952599.50359387244-4.50359387243543
222595.62604.93289659945-9.33289659944739
232588.82604.97192468899-16.1719246889884
242591.72597.19987968754-5.49987968753567
252601.72599.769298717011.93070128298496
262585.42609.88534727447-24.4853472744699
272573.32592.1136078319-18.8136078319035
282597.42578.8827793248518.5172206751545
292600.62604.09579290512-3.49579290512474
302570.62607.0856714703-36.4856714702987
312569.42574.8926291912-5.49262919119838
322584.92573.3624840258711.5375159741307
332608.82589.5559688736919.2440311263144
342617.22614.612668810392.58733118960936
3526212623.16818538608-2.1681853860814
362540.52626.8378623845-86.3378623845033
372554.52541.1483571659813.3516428340172
382601.92555.9508836387245.9491163612815
3926232606.1127446873716.8872553126339
402640.72628.2277860278712.4722139721252
412640.72646.67745271764-5.97745271763552
422619.82646.31816629086-26.518166290859
432624.22623.824240305770.375759694232784
442638.22628.246826073369.95317392664174
452645.72642.845080959532.85491904047012
462679.62650.5166814236829.0833185763195
4726692686.16479087827-17.1647908782734
482664.62674.53306772255-9.9330677225521
492663.32669.5360213589-6.23602135890042
502667.42667.86119316081-0.461193160807397
512653.22671.93347224847-18.7334722484679
522630.82656.60746044658-25.8074604465828
532626.62632.65625281918-6.05625281918265
542641.92628.0922299589713.8077700410299
552625.82644.22217284503-18.4221728450348
5626062627.01487229953-21.0148722995336
572594.42605.95173250833-11.5517325083338
582583.62593.65739314807-10.0573931480662
592588.72582.25287396286.44712603720336
602600.32587.7403910183612.5596089816445
612579.52600.09531075522-20.5953107552214
622576.62578.05738952704-1.45738952704323
632597.82575.0697902936722.7302097063307
642595.62597.63603377748-2.03603377748141
6525992595.313654005483.6863459945157
662621.72598.9352290045322.7647709954658
672645.62623.0035498618822.59645013812
682644.22648.26175346657-4.06175346656983
692625.62646.61761387093-21.017613870928
702624.62626.75430929225-2.15430929224522
712596.22625.62482034029-29.4248203402881
722599.52595.456184257664.0438157423373
732584.12598.99924567149-14.8992456714855
742570.82582.70369751881-11.9036975188119
7525552568.68820261672-13.6882026167214
762574.52552.0654465633522.4345534366462
772576.72572.913919051783.78608094822403
7825792575.341488814293.65851118571345
792588.72577.8613907479910.8386092520086
802601.12588.2128664473112.8871335526883
812575.72601.38747268583-25.6874726858314
822559.52574.44347715627-14.9434771562678
832561.12557.345270384133.75472961586547
842528.32559.17095571381-30.8709557138091
852514.72524.51539685061-9.81539685060716
862558.52510.3254233236848.1745766763174
872553.32557.02104999496-3.72104999496105
882577.12551.5973890444425.5026109555633
8925662576.93027309999-10.9302730999898
902549.52565.17328776672-15.6732877667228
912527.82547.73121430775-19.9312143077509
922540.92524.8332098887816.0667901112242
932534.22538.89893557186-4.69893557185742
9425382531.916496905926.08350309407888
9525592536.0821576969322.9178423030689
962554.92558.45967920307-3.5596792030733
972575.52554.14571775821.3542822420031
982546.52576.02925844423-29.5292584442268
992561.62545.2543449061416.3456550938554
1002546.62561.33683231163-14.7368323116343
1012502.92545.45104632999-42.5510463299856
1022463.12499.19343289268-36.0934328926792
1032472.62457.2239668765215.3760331234785
1042463.52467.64817326675-4.14817326674984
1052446.32458.29883924086-11.9988392408591
1062456.22440.3776256604315.8223743395661
1072471.52451.2286602579620.2713397420353
1082447.52467.747108578-20.2471085779985
1092428.62442.53011671923-13.9301167192293
1102420.22422.792819948-2.59281994800403
1112414.92414.236973459810.663026540190913
1122420.22408.9768259601511.2231740398465
1132423.82414.951416674358.84858332565091
11424072419.08327799309-12.0832779930893
1152388.72401.55698905716-12.8569890571562
1162409.62382.484194712227.1158052878027
11723922405.01404295211-13.0140429521125
1182380.22386.6318085772-6.43180857719562
1192423.32374.4452122073748.8547877926253
1202451.62420.4817242913831.1182757086162
1212440.82450.65214880412-9.85214880411922
1222432.92439.25996622952-6.35996622951598
1232413.62430.9776880838-17.3776880837972
1242391.62410.63316832727-19.033168327273
1252358.12387.48914270941-29.3891427094104
1262345.42352.22265110021-6.82265110021217
1272384.42339.1125623800345.287437619972
1282384.42380.834651940413.56534805959336
1292384.42381.048954123133.3510458768651
1302418.72381.2503752561737.4496247438274
13124202417.801357822482.19864217752092
1322493.12419.2335114887773.8664885112289
1332493.12496.77340051331-3.67340051330621
1342492.82496.55260362759-3.752603627594

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 2448.2 & 2476.8 & -28.5999999999999 \tabularnewline
4 & 2470.4 & 2463.0809413489 & 7.31905865110184 \tabularnewline
5 & 2484.7 & 2485.72086761086 & -1.02086761086002 \tabularnewline
6 & 2466.8 & 2499.95950637666 & -33.1595063766608 \tabularnewline
7 & 2487.9 & 2480.06638972271 & 7.83361027729143 \tabularnewline
8 & 2508.4 & 2501.6372441114 & 6.76275588860153 \tabularnewline
9 & 2510.5 & 2522.54373271334 & -12.0437327133423 \tabularnewline
10 & 2497.4 & 2523.9198207234 & -26.5198207233971 \tabularnewline
11 & 2532.5 & 2509.22579529542 & 23.2742047045822 \tabularnewline
12 & 2556.8 & 2545.72473665713 & 11.0752633428719 \tabularnewline
13 & 2561 & 2570.69043691107 & -9.69043691107208 \tabularnewline
14 & 2547.3 & 2574.30797434447 & -27.0079743444658 \tabularnewline
15 & 2541.5 & 2558.98460749322 & -17.484607493222 \tabularnewline
16 & 2558.5 & 2552.13366113755 & 6.36633886245409 \tabularnewline
17 & 2587.9 & 2569.51632232277 & 18.3836776772323 \tabularnewline
18 & 2580.5 & 2600.0213090413 & -19.5213090413031 \tabularnewline
19 & 2579.6 & 2591.44794277598 & -11.8479427759785 \tabularnewline
20 & 2589.3 & 2589.8357991212 & -0.535799121194941 \tabularnewline
21 & 2595 & 2599.50359387244 & -4.50359387243543 \tabularnewline
22 & 2595.6 & 2604.93289659945 & -9.33289659944739 \tabularnewline
23 & 2588.8 & 2604.97192468899 & -16.1719246889884 \tabularnewline
24 & 2591.7 & 2597.19987968754 & -5.49987968753567 \tabularnewline
25 & 2601.7 & 2599.76929871701 & 1.93070128298496 \tabularnewline
26 & 2585.4 & 2609.88534727447 & -24.4853472744699 \tabularnewline
27 & 2573.3 & 2592.1136078319 & -18.8136078319035 \tabularnewline
28 & 2597.4 & 2578.88277932485 & 18.5172206751545 \tabularnewline
29 & 2600.6 & 2604.09579290512 & -3.49579290512474 \tabularnewline
30 & 2570.6 & 2607.0856714703 & -36.4856714702987 \tabularnewline
31 & 2569.4 & 2574.8926291912 & -5.49262919119838 \tabularnewline
32 & 2584.9 & 2573.36248402587 & 11.5375159741307 \tabularnewline
33 & 2608.8 & 2589.55596887369 & 19.2440311263144 \tabularnewline
34 & 2617.2 & 2614.61266881039 & 2.58733118960936 \tabularnewline
35 & 2621 & 2623.16818538608 & -2.1681853860814 \tabularnewline
36 & 2540.5 & 2626.8378623845 & -86.3378623845033 \tabularnewline
37 & 2554.5 & 2541.14835716598 & 13.3516428340172 \tabularnewline
38 & 2601.9 & 2555.95088363872 & 45.9491163612815 \tabularnewline
39 & 2623 & 2606.11274468737 & 16.8872553126339 \tabularnewline
40 & 2640.7 & 2628.22778602787 & 12.4722139721252 \tabularnewline
41 & 2640.7 & 2646.67745271764 & -5.97745271763552 \tabularnewline
42 & 2619.8 & 2646.31816629086 & -26.518166290859 \tabularnewline
43 & 2624.2 & 2623.82424030577 & 0.375759694232784 \tabularnewline
44 & 2638.2 & 2628.24682607336 & 9.95317392664174 \tabularnewline
45 & 2645.7 & 2642.84508095953 & 2.85491904047012 \tabularnewline
46 & 2679.6 & 2650.51668142368 & 29.0833185763195 \tabularnewline
47 & 2669 & 2686.16479087827 & -17.1647908782734 \tabularnewline
48 & 2664.6 & 2674.53306772255 & -9.9330677225521 \tabularnewline
49 & 2663.3 & 2669.5360213589 & -6.23602135890042 \tabularnewline
50 & 2667.4 & 2667.86119316081 & -0.461193160807397 \tabularnewline
51 & 2653.2 & 2671.93347224847 & -18.7334722484679 \tabularnewline
52 & 2630.8 & 2656.60746044658 & -25.8074604465828 \tabularnewline
53 & 2626.6 & 2632.65625281918 & -6.05625281918265 \tabularnewline
54 & 2641.9 & 2628.09222995897 & 13.8077700410299 \tabularnewline
55 & 2625.8 & 2644.22217284503 & -18.4221728450348 \tabularnewline
56 & 2606 & 2627.01487229953 & -21.0148722995336 \tabularnewline
57 & 2594.4 & 2605.95173250833 & -11.5517325083338 \tabularnewline
58 & 2583.6 & 2593.65739314807 & -10.0573931480662 \tabularnewline
59 & 2588.7 & 2582.2528739628 & 6.44712603720336 \tabularnewline
60 & 2600.3 & 2587.74039101836 & 12.5596089816445 \tabularnewline
61 & 2579.5 & 2600.09531075522 & -20.5953107552214 \tabularnewline
62 & 2576.6 & 2578.05738952704 & -1.45738952704323 \tabularnewline
63 & 2597.8 & 2575.06979029367 & 22.7302097063307 \tabularnewline
64 & 2595.6 & 2597.63603377748 & -2.03603377748141 \tabularnewline
65 & 2599 & 2595.31365400548 & 3.6863459945157 \tabularnewline
66 & 2621.7 & 2598.93522900453 & 22.7647709954658 \tabularnewline
67 & 2645.6 & 2623.00354986188 & 22.59645013812 \tabularnewline
68 & 2644.2 & 2648.26175346657 & -4.06175346656983 \tabularnewline
69 & 2625.6 & 2646.61761387093 & -21.017613870928 \tabularnewline
70 & 2624.6 & 2626.75430929225 & -2.15430929224522 \tabularnewline
71 & 2596.2 & 2625.62482034029 & -29.4248203402881 \tabularnewline
72 & 2599.5 & 2595.45618425766 & 4.0438157423373 \tabularnewline
73 & 2584.1 & 2598.99924567149 & -14.8992456714855 \tabularnewline
74 & 2570.8 & 2582.70369751881 & -11.9036975188119 \tabularnewline
75 & 2555 & 2568.68820261672 & -13.6882026167214 \tabularnewline
76 & 2574.5 & 2552.06544656335 & 22.4345534366462 \tabularnewline
77 & 2576.7 & 2572.91391905178 & 3.78608094822403 \tabularnewline
78 & 2579 & 2575.34148881429 & 3.65851118571345 \tabularnewline
79 & 2588.7 & 2577.86139074799 & 10.8386092520086 \tabularnewline
80 & 2601.1 & 2588.21286644731 & 12.8871335526883 \tabularnewline
81 & 2575.7 & 2601.38747268583 & -25.6874726858314 \tabularnewline
82 & 2559.5 & 2574.44347715627 & -14.9434771562678 \tabularnewline
83 & 2561.1 & 2557.34527038413 & 3.75472961586547 \tabularnewline
84 & 2528.3 & 2559.17095571381 & -30.8709557138091 \tabularnewline
85 & 2514.7 & 2524.51539685061 & -9.81539685060716 \tabularnewline
86 & 2558.5 & 2510.32542332368 & 48.1745766763174 \tabularnewline
87 & 2553.3 & 2557.02104999496 & -3.72104999496105 \tabularnewline
88 & 2577.1 & 2551.59738904444 & 25.5026109555633 \tabularnewline
89 & 2566 & 2576.93027309999 & -10.9302730999898 \tabularnewline
90 & 2549.5 & 2565.17328776672 & -15.6732877667228 \tabularnewline
91 & 2527.8 & 2547.73121430775 & -19.9312143077509 \tabularnewline
92 & 2540.9 & 2524.83320988878 & 16.0667901112242 \tabularnewline
93 & 2534.2 & 2538.89893557186 & -4.69893557185742 \tabularnewline
94 & 2538 & 2531.91649690592 & 6.08350309407888 \tabularnewline
95 & 2559 & 2536.08215769693 & 22.9178423030689 \tabularnewline
96 & 2554.9 & 2558.45967920307 & -3.5596792030733 \tabularnewline
97 & 2575.5 & 2554.145717758 & 21.3542822420031 \tabularnewline
98 & 2546.5 & 2576.02925844423 & -29.5292584442268 \tabularnewline
99 & 2561.6 & 2545.25434490614 & 16.3456550938554 \tabularnewline
100 & 2546.6 & 2561.33683231163 & -14.7368323116343 \tabularnewline
101 & 2502.9 & 2545.45104632999 & -42.5510463299856 \tabularnewline
102 & 2463.1 & 2499.19343289268 & -36.0934328926792 \tabularnewline
103 & 2472.6 & 2457.22396687652 & 15.3760331234785 \tabularnewline
104 & 2463.5 & 2467.64817326675 & -4.14817326674984 \tabularnewline
105 & 2446.3 & 2458.29883924086 & -11.9988392408591 \tabularnewline
106 & 2456.2 & 2440.37762566043 & 15.8223743395661 \tabularnewline
107 & 2471.5 & 2451.22866025796 & 20.2713397420353 \tabularnewline
108 & 2447.5 & 2467.747108578 & -20.2471085779985 \tabularnewline
109 & 2428.6 & 2442.53011671923 & -13.9301167192293 \tabularnewline
110 & 2420.2 & 2422.792819948 & -2.59281994800403 \tabularnewline
111 & 2414.9 & 2414.23697345981 & 0.663026540190913 \tabularnewline
112 & 2420.2 & 2408.97682596015 & 11.2231740398465 \tabularnewline
113 & 2423.8 & 2414.95141667435 & 8.84858332565091 \tabularnewline
114 & 2407 & 2419.08327799309 & -12.0832779930893 \tabularnewline
115 & 2388.7 & 2401.55698905716 & -12.8569890571562 \tabularnewline
116 & 2409.6 & 2382.4841947122 & 27.1158052878027 \tabularnewline
117 & 2392 & 2405.01404295211 & -13.0140429521125 \tabularnewline
118 & 2380.2 & 2386.6318085772 & -6.43180857719562 \tabularnewline
119 & 2423.3 & 2374.44521220737 & 48.8547877926253 \tabularnewline
120 & 2451.6 & 2420.48172429138 & 31.1182757086162 \tabularnewline
121 & 2440.8 & 2450.65214880412 & -9.85214880411922 \tabularnewline
122 & 2432.9 & 2439.25996622952 & -6.35996622951598 \tabularnewline
123 & 2413.6 & 2430.9776880838 & -17.3776880837972 \tabularnewline
124 & 2391.6 & 2410.63316832727 & -19.033168327273 \tabularnewline
125 & 2358.1 & 2387.48914270941 & -29.3891427094104 \tabularnewline
126 & 2345.4 & 2352.22265110021 & -6.82265110021217 \tabularnewline
127 & 2384.4 & 2339.11256238003 & 45.287437619972 \tabularnewline
128 & 2384.4 & 2380.83465194041 & 3.56534805959336 \tabularnewline
129 & 2384.4 & 2381.04895412313 & 3.3510458768651 \tabularnewline
130 & 2418.7 & 2381.25037525617 & 37.4496247438274 \tabularnewline
131 & 2420 & 2417.80135782248 & 2.19864217752092 \tabularnewline
132 & 2493.1 & 2419.23351148877 & 73.8664885112289 \tabularnewline
133 & 2493.1 & 2496.77340051331 & -3.67340051330621 \tabularnewline
134 & 2492.8 & 2496.55260362759 & -3.752603627594 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211189&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]2448.2[/C][C]2476.8[/C][C]-28.5999999999999[/C][/ROW]
[ROW][C]4[/C][C]2470.4[/C][C]2463.0809413489[/C][C]7.31905865110184[/C][/ROW]
[ROW][C]5[/C][C]2484.7[/C][C]2485.72086761086[/C][C]-1.02086761086002[/C][/ROW]
[ROW][C]6[/C][C]2466.8[/C][C]2499.95950637666[/C][C]-33.1595063766608[/C][/ROW]
[ROW][C]7[/C][C]2487.9[/C][C]2480.06638972271[/C][C]7.83361027729143[/C][/ROW]
[ROW][C]8[/C][C]2508.4[/C][C]2501.6372441114[/C][C]6.76275588860153[/C][/ROW]
[ROW][C]9[/C][C]2510.5[/C][C]2522.54373271334[/C][C]-12.0437327133423[/C][/ROW]
[ROW][C]10[/C][C]2497.4[/C][C]2523.9198207234[/C][C]-26.5198207233971[/C][/ROW]
[ROW][C]11[/C][C]2532.5[/C][C]2509.22579529542[/C][C]23.2742047045822[/C][/ROW]
[ROW][C]12[/C][C]2556.8[/C][C]2545.72473665713[/C][C]11.0752633428719[/C][/ROW]
[ROW][C]13[/C][C]2561[/C][C]2570.69043691107[/C][C]-9.69043691107208[/C][/ROW]
[ROW][C]14[/C][C]2547.3[/C][C]2574.30797434447[/C][C]-27.0079743444658[/C][/ROW]
[ROW][C]15[/C][C]2541.5[/C][C]2558.98460749322[/C][C]-17.484607493222[/C][/ROW]
[ROW][C]16[/C][C]2558.5[/C][C]2552.13366113755[/C][C]6.36633886245409[/C][/ROW]
[ROW][C]17[/C][C]2587.9[/C][C]2569.51632232277[/C][C]18.3836776772323[/C][/ROW]
[ROW][C]18[/C][C]2580.5[/C][C]2600.0213090413[/C][C]-19.5213090413031[/C][/ROW]
[ROW][C]19[/C][C]2579.6[/C][C]2591.44794277598[/C][C]-11.8479427759785[/C][/ROW]
[ROW][C]20[/C][C]2589.3[/C][C]2589.8357991212[/C][C]-0.535799121194941[/C][/ROW]
[ROW][C]21[/C][C]2595[/C][C]2599.50359387244[/C][C]-4.50359387243543[/C][/ROW]
[ROW][C]22[/C][C]2595.6[/C][C]2604.93289659945[/C][C]-9.33289659944739[/C][/ROW]
[ROW][C]23[/C][C]2588.8[/C][C]2604.97192468899[/C][C]-16.1719246889884[/C][/ROW]
[ROW][C]24[/C][C]2591.7[/C][C]2597.19987968754[/C][C]-5.49987968753567[/C][/ROW]
[ROW][C]25[/C][C]2601.7[/C][C]2599.76929871701[/C][C]1.93070128298496[/C][/ROW]
[ROW][C]26[/C][C]2585.4[/C][C]2609.88534727447[/C][C]-24.4853472744699[/C][/ROW]
[ROW][C]27[/C][C]2573.3[/C][C]2592.1136078319[/C][C]-18.8136078319035[/C][/ROW]
[ROW][C]28[/C][C]2597.4[/C][C]2578.88277932485[/C][C]18.5172206751545[/C][/ROW]
[ROW][C]29[/C][C]2600.6[/C][C]2604.09579290512[/C][C]-3.49579290512474[/C][/ROW]
[ROW][C]30[/C][C]2570.6[/C][C]2607.0856714703[/C][C]-36.4856714702987[/C][/ROW]
[ROW][C]31[/C][C]2569.4[/C][C]2574.8926291912[/C][C]-5.49262919119838[/C][/ROW]
[ROW][C]32[/C][C]2584.9[/C][C]2573.36248402587[/C][C]11.5375159741307[/C][/ROW]
[ROW][C]33[/C][C]2608.8[/C][C]2589.55596887369[/C][C]19.2440311263144[/C][/ROW]
[ROW][C]34[/C][C]2617.2[/C][C]2614.61266881039[/C][C]2.58733118960936[/C][/ROW]
[ROW][C]35[/C][C]2621[/C][C]2623.16818538608[/C][C]-2.1681853860814[/C][/ROW]
[ROW][C]36[/C][C]2540.5[/C][C]2626.8378623845[/C][C]-86.3378623845033[/C][/ROW]
[ROW][C]37[/C][C]2554.5[/C][C]2541.14835716598[/C][C]13.3516428340172[/C][/ROW]
[ROW][C]38[/C][C]2601.9[/C][C]2555.95088363872[/C][C]45.9491163612815[/C][/ROW]
[ROW][C]39[/C][C]2623[/C][C]2606.11274468737[/C][C]16.8872553126339[/C][/ROW]
[ROW][C]40[/C][C]2640.7[/C][C]2628.22778602787[/C][C]12.4722139721252[/C][/ROW]
[ROW][C]41[/C][C]2640.7[/C][C]2646.67745271764[/C][C]-5.97745271763552[/C][/ROW]
[ROW][C]42[/C][C]2619.8[/C][C]2646.31816629086[/C][C]-26.518166290859[/C][/ROW]
[ROW][C]43[/C][C]2624.2[/C][C]2623.82424030577[/C][C]0.375759694232784[/C][/ROW]
[ROW][C]44[/C][C]2638.2[/C][C]2628.24682607336[/C][C]9.95317392664174[/C][/ROW]
[ROW][C]45[/C][C]2645.7[/C][C]2642.84508095953[/C][C]2.85491904047012[/C][/ROW]
[ROW][C]46[/C][C]2679.6[/C][C]2650.51668142368[/C][C]29.0833185763195[/C][/ROW]
[ROW][C]47[/C][C]2669[/C][C]2686.16479087827[/C][C]-17.1647908782734[/C][/ROW]
[ROW][C]48[/C][C]2664.6[/C][C]2674.53306772255[/C][C]-9.9330677225521[/C][/ROW]
[ROW][C]49[/C][C]2663.3[/C][C]2669.5360213589[/C][C]-6.23602135890042[/C][/ROW]
[ROW][C]50[/C][C]2667.4[/C][C]2667.86119316081[/C][C]-0.461193160807397[/C][/ROW]
[ROW][C]51[/C][C]2653.2[/C][C]2671.93347224847[/C][C]-18.7334722484679[/C][/ROW]
[ROW][C]52[/C][C]2630.8[/C][C]2656.60746044658[/C][C]-25.8074604465828[/C][/ROW]
[ROW][C]53[/C][C]2626.6[/C][C]2632.65625281918[/C][C]-6.05625281918265[/C][/ROW]
[ROW][C]54[/C][C]2641.9[/C][C]2628.09222995897[/C][C]13.8077700410299[/C][/ROW]
[ROW][C]55[/C][C]2625.8[/C][C]2644.22217284503[/C][C]-18.4221728450348[/C][/ROW]
[ROW][C]56[/C][C]2606[/C][C]2627.01487229953[/C][C]-21.0148722995336[/C][/ROW]
[ROW][C]57[/C][C]2594.4[/C][C]2605.95173250833[/C][C]-11.5517325083338[/C][/ROW]
[ROW][C]58[/C][C]2583.6[/C][C]2593.65739314807[/C][C]-10.0573931480662[/C][/ROW]
[ROW][C]59[/C][C]2588.7[/C][C]2582.2528739628[/C][C]6.44712603720336[/C][/ROW]
[ROW][C]60[/C][C]2600.3[/C][C]2587.74039101836[/C][C]12.5596089816445[/C][/ROW]
[ROW][C]61[/C][C]2579.5[/C][C]2600.09531075522[/C][C]-20.5953107552214[/C][/ROW]
[ROW][C]62[/C][C]2576.6[/C][C]2578.05738952704[/C][C]-1.45738952704323[/C][/ROW]
[ROW][C]63[/C][C]2597.8[/C][C]2575.06979029367[/C][C]22.7302097063307[/C][/ROW]
[ROW][C]64[/C][C]2595.6[/C][C]2597.63603377748[/C][C]-2.03603377748141[/C][/ROW]
[ROW][C]65[/C][C]2599[/C][C]2595.31365400548[/C][C]3.6863459945157[/C][/ROW]
[ROW][C]66[/C][C]2621.7[/C][C]2598.93522900453[/C][C]22.7647709954658[/C][/ROW]
[ROW][C]67[/C][C]2645.6[/C][C]2623.00354986188[/C][C]22.59645013812[/C][/ROW]
[ROW][C]68[/C][C]2644.2[/C][C]2648.26175346657[/C][C]-4.06175346656983[/C][/ROW]
[ROW][C]69[/C][C]2625.6[/C][C]2646.61761387093[/C][C]-21.017613870928[/C][/ROW]
[ROW][C]70[/C][C]2624.6[/C][C]2626.75430929225[/C][C]-2.15430929224522[/C][/ROW]
[ROW][C]71[/C][C]2596.2[/C][C]2625.62482034029[/C][C]-29.4248203402881[/C][/ROW]
[ROW][C]72[/C][C]2599.5[/C][C]2595.45618425766[/C][C]4.0438157423373[/C][/ROW]
[ROW][C]73[/C][C]2584.1[/C][C]2598.99924567149[/C][C]-14.8992456714855[/C][/ROW]
[ROW][C]74[/C][C]2570.8[/C][C]2582.70369751881[/C][C]-11.9036975188119[/C][/ROW]
[ROW][C]75[/C][C]2555[/C][C]2568.68820261672[/C][C]-13.6882026167214[/C][/ROW]
[ROW][C]76[/C][C]2574.5[/C][C]2552.06544656335[/C][C]22.4345534366462[/C][/ROW]
[ROW][C]77[/C][C]2576.7[/C][C]2572.91391905178[/C][C]3.78608094822403[/C][/ROW]
[ROW][C]78[/C][C]2579[/C][C]2575.34148881429[/C][C]3.65851118571345[/C][/ROW]
[ROW][C]79[/C][C]2588.7[/C][C]2577.86139074799[/C][C]10.8386092520086[/C][/ROW]
[ROW][C]80[/C][C]2601.1[/C][C]2588.21286644731[/C][C]12.8871335526883[/C][/ROW]
[ROW][C]81[/C][C]2575.7[/C][C]2601.38747268583[/C][C]-25.6874726858314[/C][/ROW]
[ROW][C]82[/C][C]2559.5[/C][C]2574.44347715627[/C][C]-14.9434771562678[/C][/ROW]
[ROW][C]83[/C][C]2561.1[/C][C]2557.34527038413[/C][C]3.75472961586547[/C][/ROW]
[ROW][C]84[/C][C]2528.3[/C][C]2559.17095571381[/C][C]-30.8709557138091[/C][/ROW]
[ROW][C]85[/C][C]2514.7[/C][C]2524.51539685061[/C][C]-9.81539685060716[/C][/ROW]
[ROW][C]86[/C][C]2558.5[/C][C]2510.32542332368[/C][C]48.1745766763174[/C][/ROW]
[ROW][C]87[/C][C]2553.3[/C][C]2557.02104999496[/C][C]-3.72104999496105[/C][/ROW]
[ROW][C]88[/C][C]2577.1[/C][C]2551.59738904444[/C][C]25.5026109555633[/C][/ROW]
[ROW][C]89[/C][C]2566[/C][C]2576.93027309999[/C][C]-10.9302730999898[/C][/ROW]
[ROW][C]90[/C][C]2549.5[/C][C]2565.17328776672[/C][C]-15.6732877667228[/C][/ROW]
[ROW][C]91[/C][C]2527.8[/C][C]2547.73121430775[/C][C]-19.9312143077509[/C][/ROW]
[ROW][C]92[/C][C]2540.9[/C][C]2524.83320988878[/C][C]16.0667901112242[/C][/ROW]
[ROW][C]93[/C][C]2534.2[/C][C]2538.89893557186[/C][C]-4.69893557185742[/C][/ROW]
[ROW][C]94[/C][C]2538[/C][C]2531.91649690592[/C][C]6.08350309407888[/C][/ROW]
[ROW][C]95[/C][C]2559[/C][C]2536.08215769693[/C][C]22.9178423030689[/C][/ROW]
[ROW][C]96[/C][C]2554.9[/C][C]2558.45967920307[/C][C]-3.5596792030733[/C][/ROW]
[ROW][C]97[/C][C]2575.5[/C][C]2554.145717758[/C][C]21.3542822420031[/C][/ROW]
[ROW][C]98[/C][C]2546.5[/C][C]2576.02925844423[/C][C]-29.5292584442268[/C][/ROW]
[ROW][C]99[/C][C]2561.6[/C][C]2545.25434490614[/C][C]16.3456550938554[/C][/ROW]
[ROW][C]100[/C][C]2546.6[/C][C]2561.33683231163[/C][C]-14.7368323116343[/C][/ROW]
[ROW][C]101[/C][C]2502.9[/C][C]2545.45104632999[/C][C]-42.5510463299856[/C][/ROW]
[ROW][C]102[/C][C]2463.1[/C][C]2499.19343289268[/C][C]-36.0934328926792[/C][/ROW]
[ROW][C]103[/C][C]2472.6[/C][C]2457.22396687652[/C][C]15.3760331234785[/C][/ROW]
[ROW][C]104[/C][C]2463.5[/C][C]2467.64817326675[/C][C]-4.14817326674984[/C][/ROW]
[ROW][C]105[/C][C]2446.3[/C][C]2458.29883924086[/C][C]-11.9988392408591[/C][/ROW]
[ROW][C]106[/C][C]2456.2[/C][C]2440.37762566043[/C][C]15.8223743395661[/C][/ROW]
[ROW][C]107[/C][C]2471.5[/C][C]2451.22866025796[/C][C]20.2713397420353[/C][/ROW]
[ROW][C]108[/C][C]2447.5[/C][C]2467.747108578[/C][C]-20.2471085779985[/C][/ROW]
[ROW][C]109[/C][C]2428.6[/C][C]2442.53011671923[/C][C]-13.9301167192293[/C][/ROW]
[ROW][C]110[/C][C]2420.2[/C][C]2422.792819948[/C][C]-2.59281994800403[/C][/ROW]
[ROW][C]111[/C][C]2414.9[/C][C]2414.23697345981[/C][C]0.663026540190913[/C][/ROW]
[ROW][C]112[/C][C]2420.2[/C][C]2408.97682596015[/C][C]11.2231740398465[/C][/ROW]
[ROW][C]113[/C][C]2423.8[/C][C]2414.95141667435[/C][C]8.84858332565091[/C][/ROW]
[ROW][C]114[/C][C]2407[/C][C]2419.08327799309[/C][C]-12.0832779930893[/C][/ROW]
[ROW][C]115[/C][C]2388.7[/C][C]2401.55698905716[/C][C]-12.8569890571562[/C][/ROW]
[ROW][C]116[/C][C]2409.6[/C][C]2382.4841947122[/C][C]27.1158052878027[/C][/ROW]
[ROW][C]117[/C][C]2392[/C][C]2405.01404295211[/C][C]-13.0140429521125[/C][/ROW]
[ROW][C]118[/C][C]2380.2[/C][C]2386.6318085772[/C][C]-6.43180857719562[/C][/ROW]
[ROW][C]119[/C][C]2423.3[/C][C]2374.44521220737[/C][C]48.8547877926253[/C][/ROW]
[ROW][C]120[/C][C]2451.6[/C][C]2420.48172429138[/C][C]31.1182757086162[/C][/ROW]
[ROW][C]121[/C][C]2440.8[/C][C]2450.65214880412[/C][C]-9.85214880411922[/C][/ROW]
[ROW][C]122[/C][C]2432.9[/C][C]2439.25996622952[/C][C]-6.35996622951598[/C][/ROW]
[ROW][C]123[/C][C]2413.6[/C][C]2430.9776880838[/C][C]-17.3776880837972[/C][/ROW]
[ROW][C]124[/C][C]2391.6[/C][C]2410.63316832727[/C][C]-19.033168327273[/C][/ROW]
[ROW][C]125[/C][C]2358.1[/C][C]2387.48914270941[/C][C]-29.3891427094104[/C][/ROW]
[ROW][C]126[/C][C]2345.4[/C][C]2352.22265110021[/C][C]-6.82265110021217[/C][/ROW]
[ROW][C]127[/C][C]2384.4[/C][C]2339.11256238003[/C][C]45.287437619972[/C][/ROW]
[ROW][C]128[/C][C]2384.4[/C][C]2380.83465194041[/C][C]3.56534805959336[/C][/ROW]
[ROW][C]129[/C][C]2384.4[/C][C]2381.04895412313[/C][C]3.3510458768651[/C][/ROW]
[ROW][C]130[/C][C]2418.7[/C][C]2381.25037525617[/C][C]37.4496247438274[/C][/ROW]
[ROW][C]131[/C][C]2420[/C][C]2417.80135782248[/C][C]2.19864217752092[/C][/ROW]
[ROW][C]132[/C][C]2493.1[/C][C]2419.23351148877[/C][C]73.8664885112289[/C][/ROW]
[ROW][C]133[/C][C]2493.1[/C][C]2496.77340051331[/C][C]-3.67340051330621[/C][/ROW]
[ROW][C]134[/C][C]2492.8[/C][C]2496.55260362759[/C][C]-3.752603627594[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211189&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211189&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
32448.22476.8-28.5999999999999
42470.42463.08094134897.31905865110184
52484.72485.72086761086-1.02086761086002
62466.82499.95950637666-33.1595063766608
72487.92480.066389722717.83361027729143
82508.42501.63724411146.76275588860153
92510.52522.54373271334-12.0437327133423
102497.42523.9198207234-26.5198207233971
112532.52509.2257952954223.2742047045822
122556.82545.7247366571311.0752633428719
1325612570.69043691107-9.69043691107208
142547.32574.30797434447-27.0079743444658
152541.52558.98460749322-17.484607493222
162558.52552.133661137556.36633886245409
172587.92569.5163223227718.3836776772323
182580.52600.0213090413-19.5213090413031
192579.62591.44794277598-11.8479427759785
202589.32589.8357991212-0.535799121194941
2125952599.50359387244-4.50359387243543
222595.62604.93289659945-9.33289659944739
232588.82604.97192468899-16.1719246889884
242591.72597.19987968754-5.49987968753567
252601.72599.769298717011.93070128298496
262585.42609.88534727447-24.4853472744699
272573.32592.1136078319-18.8136078319035
282597.42578.8827793248518.5172206751545
292600.62604.09579290512-3.49579290512474
302570.62607.0856714703-36.4856714702987
312569.42574.8926291912-5.49262919119838
322584.92573.3624840258711.5375159741307
332608.82589.5559688736919.2440311263144
342617.22614.612668810392.58733118960936
3526212623.16818538608-2.1681853860814
362540.52626.8378623845-86.3378623845033
372554.52541.1483571659813.3516428340172
382601.92555.9508836387245.9491163612815
3926232606.1127446873716.8872553126339
402640.72628.2277860278712.4722139721252
412640.72646.67745271764-5.97745271763552
422619.82646.31816629086-26.518166290859
432624.22623.824240305770.375759694232784
442638.22628.246826073369.95317392664174
452645.72642.845080959532.85491904047012
462679.62650.5166814236829.0833185763195
4726692686.16479087827-17.1647908782734
482664.62674.53306772255-9.9330677225521
492663.32669.5360213589-6.23602135890042
502667.42667.86119316081-0.461193160807397
512653.22671.93347224847-18.7334722484679
522630.82656.60746044658-25.8074604465828
532626.62632.65625281918-6.05625281918265
542641.92628.0922299589713.8077700410299
552625.82644.22217284503-18.4221728450348
5626062627.01487229953-21.0148722995336
572594.42605.95173250833-11.5517325083338
582583.62593.65739314807-10.0573931480662
592588.72582.25287396286.44712603720336
602600.32587.7403910183612.5596089816445
612579.52600.09531075522-20.5953107552214
622576.62578.05738952704-1.45738952704323
632597.82575.0697902936722.7302097063307
642595.62597.63603377748-2.03603377748141
6525992595.313654005483.6863459945157
662621.72598.9352290045322.7647709954658
672645.62623.0035498618822.59645013812
682644.22648.26175346657-4.06175346656983
692625.62646.61761387093-21.017613870928
702624.62626.75430929225-2.15430929224522
712596.22625.62482034029-29.4248203402881
722599.52595.456184257664.0438157423373
732584.12598.99924567149-14.8992456714855
742570.82582.70369751881-11.9036975188119
7525552568.68820261672-13.6882026167214
762574.52552.0654465633522.4345534366462
772576.72572.913919051783.78608094822403
7825792575.341488814293.65851118571345
792588.72577.8613907479910.8386092520086
802601.12588.2128664473112.8871335526883
812575.72601.38747268583-25.6874726858314
822559.52574.44347715627-14.9434771562678
832561.12557.345270384133.75472961586547
842528.32559.17095571381-30.8709557138091
852514.72524.51539685061-9.81539685060716
862558.52510.3254233236848.1745766763174
872553.32557.02104999496-3.72104999496105
882577.12551.5973890444425.5026109555633
8925662576.93027309999-10.9302730999898
902549.52565.17328776672-15.6732877667228
912527.82547.73121430775-19.9312143077509
922540.92524.8332098887816.0667901112242
932534.22538.89893557186-4.69893557185742
9425382531.916496905926.08350309407888
9525592536.0821576969322.9178423030689
962554.92558.45967920307-3.5596792030733
972575.52554.14571775821.3542822420031
982546.52576.02925844423-29.5292584442268
992561.62545.2543449061416.3456550938554
1002546.62561.33683231163-14.7368323116343
1012502.92545.45104632999-42.5510463299856
1022463.12499.19343289268-36.0934328926792
1032472.62457.2239668765215.3760331234785
1042463.52467.64817326675-4.14817326674984
1052446.32458.29883924086-11.9988392408591
1062456.22440.3776256604315.8223743395661
1072471.52451.2286602579620.2713397420353
1082447.52467.747108578-20.2471085779985
1092428.62442.53011671923-13.9301167192293
1102420.22422.792819948-2.59281994800403
1112414.92414.236973459810.663026540190913
1122420.22408.9768259601511.2231740398465
1132423.82414.951416674358.84858332565091
11424072419.08327799309-12.0832779930893
1152388.72401.55698905716-12.8569890571562
1162409.62382.484194712227.1158052878027
11723922405.01404295211-13.0140429521125
1182380.22386.6318085772-6.43180857719562
1192423.32374.4452122073748.8547877926253
1202451.62420.4817242913831.1182757086162
1212440.82450.65214880412-9.85214880411922
1222432.92439.25996622952-6.35996622951598
1232413.62430.9776880838-17.3776880837972
1242391.62410.63316832727-19.033168327273
1252358.12387.48914270941-29.3891427094104
1262345.42352.22265110021-6.82265110021217
1272384.42339.1125623800345.287437619972
1282384.42380.834651940413.56534805959336
1292384.42381.048954123133.3510458768651
1302418.72381.2503752561737.4496247438274
13124202417.801357822482.19864217752092
1322493.12419.2335114887773.8664885112289
1332493.12496.77340051331-3.67340051330621
1342492.82496.55260362759-3.752603627594







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1352496.027046084582455.164180546092536.88991162307
1362499.254092169162439.703187909752558.80499642857
1372502.481138253742427.37005703542577.59221947209
1382505.708184338332416.44491071172594.97145796496
1392508.935230422912406.284619339122611.58584150669
1402512.162276507492396.570807958632627.75374505635
1412515.389322592072387.121180708492643.65746447565
1422518.616368676652377.821485650582659.41125170273
1432521.843414761232368.595571510632675.09125801183
1442525.070460845812359.39038173652690.75053995513
1452528.297506930392350.167706470312706.42730739048
1462531.524553014982340.899322986782722.14978304317

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
135 & 2496.02704608458 & 2455.16418054609 & 2536.88991162307 \tabularnewline
136 & 2499.25409216916 & 2439.70318790975 & 2558.80499642857 \tabularnewline
137 & 2502.48113825374 & 2427.3700570354 & 2577.59221947209 \tabularnewline
138 & 2505.70818433833 & 2416.4449107117 & 2594.97145796496 \tabularnewline
139 & 2508.93523042291 & 2406.28461933912 & 2611.58584150669 \tabularnewline
140 & 2512.16227650749 & 2396.57080795863 & 2627.75374505635 \tabularnewline
141 & 2515.38932259207 & 2387.12118070849 & 2643.65746447565 \tabularnewline
142 & 2518.61636867665 & 2377.82148565058 & 2659.41125170273 \tabularnewline
143 & 2521.84341476123 & 2368.59557151063 & 2675.09125801183 \tabularnewline
144 & 2525.07046084581 & 2359.3903817365 & 2690.75053995513 \tabularnewline
145 & 2528.29750693039 & 2350.16770647031 & 2706.42730739048 \tabularnewline
146 & 2531.52455301498 & 2340.89932298678 & 2722.14978304317 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211189&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]135[/C][C]2496.02704608458[/C][C]2455.16418054609[/C][C]2536.88991162307[/C][/ROW]
[ROW][C]136[/C][C]2499.25409216916[/C][C]2439.70318790975[/C][C]2558.80499642857[/C][/ROW]
[ROW][C]137[/C][C]2502.48113825374[/C][C]2427.3700570354[/C][C]2577.59221947209[/C][/ROW]
[ROW][C]138[/C][C]2505.70818433833[/C][C]2416.4449107117[/C][C]2594.97145796496[/C][/ROW]
[ROW][C]139[/C][C]2508.93523042291[/C][C]2406.28461933912[/C][C]2611.58584150669[/C][/ROW]
[ROW][C]140[/C][C]2512.16227650749[/C][C]2396.57080795863[/C][C]2627.75374505635[/C][/ROW]
[ROW][C]141[/C][C]2515.38932259207[/C][C]2387.12118070849[/C][C]2643.65746447565[/C][/ROW]
[ROW][C]142[/C][C]2518.61636867665[/C][C]2377.82148565058[/C][C]2659.41125170273[/C][/ROW]
[ROW][C]143[/C][C]2521.84341476123[/C][C]2368.59557151063[/C][C]2675.09125801183[/C][/ROW]
[ROW][C]144[/C][C]2525.07046084581[/C][C]2359.3903817365[/C][C]2690.75053995513[/C][/ROW]
[ROW][C]145[/C][C]2528.29750693039[/C][C]2350.16770647031[/C][C]2706.42730739048[/C][/ROW]
[ROW][C]146[/C][C]2531.52455301498[/C][C]2340.89932298678[/C][C]2722.14978304317[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211189&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211189&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
1352496.027046084582455.164180546092536.88991162307
1362499.254092169162439.703187909752558.80499642857
1372502.481138253742427.37005703542577.59221947209
1382505.708184338332416.44491071172594.97145796496
1392508.935230422912406.284619339122611.58584150669
1402512.162276507492396.570807958632627.75374505635
1412515.389322592072387.121180708492643.65746447565
1422518.616368676652377.821485650582659.41125170273
1432521.843414761232368.595571510632675.09125801183
1442525.070460845812359.39038173652690.75053995513
1452528.297506930392350.167706470312706.42730739048
1462531.524553014982340.899322986782722.14978304317



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')