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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 27 Nov 2010 13:17:03 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/27/t1290863710xrta3lrw98r6afu.htm/, Retrieved Mon, 29 Apr 2024 10:49:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102375, Retrieved Mon, 29 Apr 2024 10:49:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Workshop 8 Regres...] [2010-11-27 09:22:21] [87d60b8864dc39f7ed759c345edfb471]
- RMP   [Spectral Analysis] [Workshop 8 Regres...] [2010-11-27 12:28:23] [87d60b8864dc39f7ed759c345edfb471]
- RMP     [Exponential Smoothing] [Workshop 8 Regres...] [2010-11-27 13:02:33] [87d60b8864dc39f7ed759c345edfb471]
-   P       [Exponential Smoothing] [Workshop 8 Regres...] [2010-11-27 13:15:31] [87d60b8864dc39f7ed759c345edfb471]
-   P           [Exponential Smoothing] [Workshop 8 Regres...] [2010-11-27 13:17:03] [c52f616cc59ab01e55ce1a10b5754887] [Current]
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Dataseries X:
24
25
17
18
18
16
20
16
18
17
23
30
23
18
15
12
21
15
20
31
27
34
21
31
19
16
20
21
22
17
24
25
26
25
17
32
33
13
32
25
29
22
18
17
20
15
20
33
29
23
26
18
20
11
28
26
22
17
12
14
17
21
19
18
10
29
31
19
9
20
28
19
30
29
26
23
13
21
19
28
23
18
21
20
23
21
21
15
28
19
26
10
16
22
19
31
31
29
19
22
23
15
20
18
23
25
21
24
25
17
13
28
21
25
9
16
19
17
25
20
29
14
22
15
19
20
15
20
18
33
22
16
17
16
21
26
18
18
17
22
30
30
24
21
21
29
31
20
16
22
20
28
38
22
20
17
28
22
31




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102375&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102375&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102375&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'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.148526946869307
beta0.0795472752444786
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.148526946869307 \tabularnewline
beta & 0.0795472752444786 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102375&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]0.148526946869307[/C][/ROW]
[ROW][C]beta[/C][C]0.0795472752444786[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102375&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102375&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
alpha0.148526946869307
beta0.0795472752444786
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
31726-9
41825.5569232528617-7.55692325286173
51825.2388978913124-7.2388978913124
61624.8825809102517-8.88258091025172
72024.1771857798909-4.17718577989094
81624.1213155316231-8.12131553162307
91823.3836830893196-5.3836830893196
101722.9890550830283-5.98905508302831
112322.43375285250020.566247147499805
123022.85877980938537.1412201906147
132324.3447403399755-1.34474033997553
141824.554419070337-6.55441907033703
151523.9128802275712-8.91288022757119
161222.8157414371093-10.8157414371093
172121.3081894267768-0.308189426776799
181521.3576508040598-6.35765080405982
192020.4334890557634-0.433489055763431
203120.384103328820710.6158966711793
212722.10127503407634.89872496592368
223423.027170695031710.9728293049683
232124.9848775621701-3.9848775621701
243124.67388091077236.32611908922769
251925.9690876636974-6.96908766369744
261625.2072587787402-9.20725877874017
272024.0042182015492-4.00421820154925
282123.5266598623420-2.52665986234204
292223.2387064832902-1.23870648329019
301723.1274136768620-6.12741367686195
312422.21762125166661.78237874833337
322522.50370479724682.49629520275324
332622.92531768707073.07468231292934
342523.46916375534801.53083624465204
351723.8017937791299-6.8017937791299
363222.81644109805999.1835589019401
373324.31384700327928.6861529967208
381325.8400008780270-12.8400008780270
393224.01723733476387.98276266523617
402525.3815309397272-0.381530939727174
412925.49899379761473.50100620238531
422226.2344821302549-4.23448213025485
431825.7710119564238-7.77101195642385
441724.6904579676335-7.69045796763348
452023.5310063179338-3.53100631793384
461522.9476267867037-7.94762678670368
472021.614359575383-1.61435957538298
483321.202679687242011.7973203127580
492922.92237998930226.07762001069784
502323.8643572257781-0.864357225778079
512623.7650514718622.23494852813801
521824.1524818634737-6.15248186347368
532023.2214617833056-3.22146178330556
541122.6877158731788-11.6877158731788
552820.75841373465557.24158626534453
562621.72618176753084.27381823246925
572222.3036510700095-0.303651070009476
581722.1976552213480-5.19765522134802
591221.3033580290765-9.30335802907654
601419.6893349597043-5.68933495970425
611718.5448726999083-1.54487269990830
622117.99772222800223.00227777199780
631918.16141778609520.838582213904758
641818.0136540256654-0.0136540256653888
651017.7391488974229-7.73914889742285
662916.225762224756912.7742377752431
673117.910092764288613.0899072357114
681919.7959648522645-0.795964852264529
69919.6100064981797-10.6100064981797
702017.84104218847162.15895781152840
712817.994121063076010.0058789369240
721919.4308977731317-0.430897773131665
733019.312440883186610.6875591168134
742920.97164704002418.02835295997589
752622.33074372446283.66925627553723
762323.0857490343136-0.0857490343135936
771323.2820217525548-10.2820217525548
782121.8423920125394-0.842392012539364
791921.7948488682669-2.79484886826687
802821.42429236951046.57570763048958
812322.52320743762310.476792562376861
821822.7219025345379-4.72190253453788
832122.0926624490011-1.09266244900113
842021.9895526000421-1.98955260004211
852321.72972400255541.27027599744462
862121.9690759955399-0.96907599553992
872121.8643743245678-0.86437432456782
881521.7650111648746-6.76501116487458
892820.70931640609927.29068359390076
901921.8274098750796-2.82740987507958
912621.40928820867254.59071179132748
921022.1471963695456-12.1471963695456
931620.2555560547833-4.25555605478331
942219.48575795327802.51424204672196
951919.7511628480767-0.751162848076692
963119.52269219916611.477307800834
973121.24608236436329.75391763563685
982922.82874434734426.17125565265579
991923.9521973386665-4.95219733866645
1002223.3650080332532-1.36500803325317
1012323.2944855507969-0.294485550796914
1021523.3794851827804-8.37948518278036
1032022.1646416078252-2.16464160782524
1041821.8472947200561-3.84729472005612
1052321.23457304693011.76542695306987
1062521.47635015503013.52364984496993
1072122.0209023607957-1.02090236079569
1082421.87840422903332.12159577096666
1092522.22771822173932.77228177826071
1101722.7064308910620-5.70643089106197
1111321.8584052644378-8.85840526443783
1122820.43756521182417.5624347881759
1132121.5450119133312-0.545011913331233
1142521.44184504051443.5581549594856
115921.9901483103863-12.9901483103863
1161619.9271051355717-3.92710513557175
1171919.1637696837105-0.163769683710452
1181718.9574560318428-1.95745603184277
1192518.46160444851996.53839555148008
1202019.30486634256350.695133657436497
1212919.28845933205529.7115406679448
1221420.7259727436083-6.7259727436083
1232219.64260568500032.35739431499966
1241519.9362158138169-4.93621581381692
1251919.0882073335956-0.088207333595605
1262018.95921658928421.04078341071582
1271519.01020815968-4.01020815968
1282018.26361110923911.73638889076095
1291818.3910538588709-0.391053858870901
1303318.197893764578514.8021062354215
1312220.4362129634511.56378703654902
1321620.7267610392656-4.72676103926561
1331720.0271469404274-3.02714694042744
1341619.5442058540098-3.54420585400977
1352118.94259309871272.05740690128731
1362619.19727886894916.80272113105094
1371820.2371452382789-2.23714523827891
1381819.9079161772403-1.9079161772403
1391719.6050446380504-2.60504463805042
1402219.16785235883442.83214764116561
1413019.571691228991710.4283087710083
1423021.22697429019248.7730257098076
1432422.74005575572151.25994424427852
1442123.1521283023901-2.15212830239013
1452123.0319889205597-2.03198892055972
1462922.90568570012076.09431429987925
1473124.05836128522576.94163871477434
1482025.4189022425882-5.41890224258817
1491624.8795459263428-8.87954592634277
1502223.7212796987443-1.72127969874426
1512023.6058721273291-3.60587212732912
1522823.16794872759854.83205127240148
1533824.040374598206013.9596254017940
1542226.4334229591065-4.43342295910651
1552026.0422274926932-6.04222749269321
1561725.3406928030624-8.34069280306238
1572824.19922951086413.80077048913593
1582224.9060064681551-2.90600646815513
1593124.58231210436306.41768789563703

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 17 & 26 & -9 \tabularnewline
4 & 18 & 25.5569232528617 & -7.55692325286173 \tabularnewline
5 & 18 & 25.2388978913124 & -7.2388978913124 \tabularnewline
6 & 16 & 24.8825809102517 & -8.88258091025172 \tabularnewline
7 & 20 & 24.1771857798909 & -4.17718577989094 \tabularnewline
8 & 16 & 24.1213155316231 & -8.12131553162307 \tabularnewline
9 & 18 & 23.3836830893196 & -5.3836830893196 \tabularnewline
10 & 17 & 22.9890550830283 & -5.98905508302831 \tabularnewline
11 & 23 & 22.4337528525002 & 0.566247147499805 \tabularnewline
12 & 30 & 22.8587798093853 & 7.1412201906147 \tabularnewline
13 & 23 & 24.3447403399755 & -1.34474033997553 \tabularnewline
14 & 18 & 24.554419070337 & -6.55441907033703 \tabularnewline
15 & 15 & 23.9128802275712 & -8.91288022757119 \tabularnewline
16 & 12 & 22.8157414371093 & -10.8157414371093 \tabularnewline
17 & 21 & 21.3081894267768 & -0.308189426776799 \tabularnewline
18 & 15 & 21.3576508040598 & -6.35765080405982 \tabularnewline
19 & 20 & 20.4334890557634 & -0.433489055763431 \tabularnewline
20 & 31 & 20.3841033288207 & 10.6158966711793 \tabularnewline
21 & 27 & 22.1012750340763 & 4.89872496592368 \tabularnewline
22 & 34 & 23.0271706950317 & 10.9728293049683 \tabularnewline
23 & 21 & 24.9848775621701 & -3.9848775621701 \tabularnewline
24 & 31 & 24.6738809107723 & 6.32611908922769 \tabularnewline
25 & 19 & 25.9690876636974 & -6.96908766369744 \tabularnewline
26 & 16 & 25.2072587787402 & -9.20725877874017 \tabularnewline
27 & 20 & 24.0042182015492 & -4.00421820154925 \tabularnewline
28 & 21 & 23.5266598623420 & -2.52665986234204 \tabularnewline
29 & 22 & 23.2387064832902 & -1.23870648329019 \tabularnewline
30 & 17 & 23.1274136768620 & -6.12741367686195 \tabularnewline
31 & 24 & 22.2176212516666 & 1.78237874833337 \tabularnewline
32 & 25 & 22.5037047972468 & 2.49629520275324 \tabularnewline
33 & 26 & 22.9253176870707 & 3.07468231292934 \tabularnewline
34 & 25 & 23.4691637553480 & 1.53083624465204 \tabularnewline
35 & 17 & 23.8017937791299 & -6.8017937791299 \tabularnewline
36 & 32 & 22.8164410980599 & 9.1835589019401 \tabularnewline
37 & 33 & 24.3138470032792 & 8.6861529967208 \tabularnewline
38 & 13 & 25.8400008780270 & -12.8400008780270 \tabularnewline
39 & 32 & 24.0172373347638 & 7.98276266523617 \tabularnewline
40 & 25 & 25.3815309397272 & -0.381530939727174 \tabularnewline
41 & 29 & 25.4989937976147 & 3.50100620238531 \tabularnewline
42 & 22 & 26.2344821302549 & -4.23448213025485 \tabularnewline
43 & 18 & 25.7710119564238 & -7.77101195642385 \tabularnewline
44 & 17 & 24.6904579676335 & -7.69045796763348 \tabularnewline
45 & 20 & 23.5310063179338 & -3.53100631793384 \tabularnewline
46 & 15 & 22.9476267867037 & -7.94762678670368 \tabularnewline
47 & 20 & 21.614359575383 & -1.61435957538298 \tabularnewline
48 & 33 & 21.2026796872420 & 11.7973203127580 \tabularnewline
49 & 29 & 22.9223799893022 & 6.07762001069784 \tabularnewline
50 & 23 & 23.8643572257781 & -0.864357225778079 \tabularnewline
51 & 26 & 23.765051471862 & 2.23494852813801 \tabularnewline
52 & 18 & 24.1524818634737 & -6.15248186347368 \tabularnewline
53 & 20 & 23.2214617833056 & -3.22146178330556 \tabularnewline
54 & 11 & 22.6877158731788 & -11.6877158731788 \tabularnewline
55 & 28 & 20.7584137346555 & 7.24158626534453 \tabularnewline
56 & 26 & 21.7261817675308 & 4.27381823246925 \tabularnewline
57 & 22 & 22.3036510700095 & -0.303651070009476 \tabularnewline
58 & 17 & 22.1976552213480 & -5.19765522134802 \tabularnewline
59 & 12 & 21.3033580290765 & -9.30335802907654 \tabularnewline
60 & 14 & 19.6893349597043 & -5.68933495970425 \tabularnewline
61 & 17 & 18.5448726999083 & -1.54487269990830 \tabularnewline
62 & 21 & 17.9977222280022 & 3.00227777199780 \tabularnewline
63 & 19 & 18.1614177860952 & 0.838582213904758 \tabularnewline
64 & 18 & 18.0136540256654 & -0.0136540256653888 \tabularnewline
65 & 10 & 17.7391488974229 & -7.73914889742285 \tabularnewline
66 & 29 & 16.2257622247569 & 12.7742377752431 \tabularnewline
67 & 31 & 17.9100927642886 & 13.0899072357114 \tabularnewline
68 & 19 & 19.7959648522645 & -0.795964852264529 \tabularnewline
69 & 9 & 19.6100064981797 & -10.6100064981797 \tabularnewline
70 & 20 & 17.8410421884716 & 2.15895781152840 \tabularnewline
71 & 28 & 17.9941210630760 & 10.0058789369240 \tabularnewline
72 & 19 & 19.4308977731317 & -0.430897773131665 \tabularnewline
73 & 30 & 19.3124408831866 & 10.6875591168134 \tabularnewline
74 & 29 & 20.9716470400241 & 8.02835295997589 \tabularnewline
75 & 26 & 22.3307437244628 & 3.66925627553723 \tabularnewline
76 & 23 & 23.0857490343136 & -0.0857490343135936 \tabularnewline
77 & 13 & 23.2820217525548 & -10.2820217525548 \tabularnewline
78 & 21 & 21.8423920125394 & -0.842392012539364 \tabularnewline
79 & 19 & 21.7948488682669 & -2.79484886826687 \tabularnewline
80 & 28 & 21.4242923695104 & 6.57570763048958 \tabularnewline
81 & 23 & 22.5232074376231 & 0.476792562376861 \tabularnewline
82 & 18 & 22.7219025345379 & -4.72190253453788 \tabularnewline
83 & 21 & 22.0926624490011 & -1.09266244900113 \tabularnewline
84 & 20 & 21.9895526000421 & -1.98955260004211 \tabularnewline
85 & 23 & 21.7297240025554 & 1.27027599744462 \tabularnewline
86 & 21 & 21.9690759955399 & -0.96907599553992 \tabularnewline
87 & 21 & 21.8643743245678 & -0.86437432456782 \tabularnewline
88 & 15 & 21.7650111648746 & -6.76501116487458 \tabularnewline
89 & 28 & 20.7093164060992 & 7.29068359390076 \tabularnewline
90 & 19 & 21.8274098750796 & -2.82740987507958 \tabularnewline
91 & 26 & 21.4092882086725 & 4.59071179132748 \tabularnewline
92 & 10 & 22.1471963695456 & -12.1471963695456 \tabularnewline
93 & 16 & 20.2555560547833 & -4.25555605478331 \tabularnewline
94 & 22 & 19.4857579532780 & 2.51424204672196 \tabularnewline
95 & 19 & 19.7511628480767 & -0.751162848076692 \tabularnewline
96 & 31 & 19.522692199166 & 11.477307800834 \tabularnewline
97 & 31 & 21.2460823643632 & 9.75391763563685 \tabularnewline
98 & 29 & 22.8287443473442 & 6.17125565265579 \tabularnewline
99 & 19 & 23.9521973386665 & -4.95219733866645 \tabularnewline
100 & 22 & 23.3650080332532 & -1.36500803325317 \tabularnewline
101 & 23 & 23.2944855507969 & -0.294485550796914 \tabularnewline
102 & 15 & 23.3794851827804 & -8.37948518278036 \tabularnewline
103 & 20 & 22.1646416078252 & -2.16464160782524 \tabularnewline
104 & 18 & 21.8472947200561 & -3.84729472005612 \tabularnewline
105 & 23 & 21.2345730469301 & 1.76542695306987 \tabularnewline
106 & 25 & 21.4763501550301 & 3.52364984496993 \tabularnewline
107 & 21 & 22.0209023607957 & -1.02090236079569 \tabularnewline
108 & 24 & 21.8784042290333 & 2.12159577096666 \tabularnewline
109 & 25 & 22.2277182217393 & 2.77228177826071 \tabularnewline
110 & 17 & 22.7064308910620 & -5.70643089106197 \tabularnewline
111 & 13 & 21.8584052644378 & -8.85840526443783 \tabularnewline
112 & 28 & 20.4375652118241 & 7.5624347881759 \tabularnewline
113 & 21 & 21.5450119133312 & -0.545011913331233 \tabularnewline
114 & 25 & 21.4418450405144 & 3.5581549594856 \tabularnewline
115 & 9 & 21.9901483103863 & -12.9901483103863 \tabularnewline
116 & 16 & 19.9271051355717 & -3.92710513557175 \tabularnewline
117 & 19 & 19.1637696837105 & -0.163769683710452 \tabularnewline
118 & 17 & 18.9574560318428 & -1.95745603184277 \tabularnewline
119 & 25 & 18.4616044485199 & 6.53839555148008 \tabularnewline
120 & 20 & 19.3048663425635 & 0.695133657436497 \tabularnewline
121 & 29 & 19.2884593320552 & 9.7115406679448 \tabularnewline
122 & 14 & 20.7259727436083 & -6.7259727436083 \tabularnewline
123 & 22 & 19.6426056850003 & 2.35739431499966 \tabularnewline
124 & 15 & 19.9362158138169 & -4.93621581381692 \tabularnewline
125 & 19 & 19.0882073335956 & -0.088207333595605 \tabularnewline
126 & 20 & 18.9592165892842 & 1.04078341071582 \tabularnewline
127 & 15 & 19.01020815968 & -4.01020815968 \tabularnewline
128 & 20 & 18.2636111092391 & 1.73638889076095 \tabularnewline
129 & 18 & 18.3910538588709 & -0.391053858870901 \tabularnewline
130 & 33 & 18.1978937645785 & 14.8021062354215 \tabularnewline
131 & 22 & 20.436212963451 & 1.56378703654902 \tabularnewline
132 & 16 & 20.7267610392656 & -4.72676103926561 \tabularnewline
133 & 17 & 20.0271469404274 & -3.02714694042744 \tabularnewline
134 & 16 & 19.5442058540098 & -3.54420585400977 \tabularnewline
135 & 21 & 18.9425930987127 & 2.05740690128731 \tabularnewline
136 & 26 & 19.1972788689491 & 6.80272113105094 \tabularnewline
137 & 18 & 20.2371452382789 & -2.23714523827891 \tabularnewline
138 & 18 & 19.9079161772403 & -1.9079161772403 \tabularnewline
139 & 17 & 19.6050446380504 & -2.60504463805042 \tabularnewline
140 & 22 & 19.1678523588344 & 2.83214764116561 \tabularnewline
141 & 30 & 19.5716912289917 & 10.4283087710083 \tabularnewline
142 & 30 & 21.2269742901924 & 8.7730257098076 \tabularnewline
143 & 24 & 22.7400557557215 & 1.25994424427852 \tabularnewline
144 & 21 & 23.1521283023901 & -2.15212830239013 \tabularnewline
145 & 21 & 23.0319889205597 & -2.03198892055972 \tabularnewline
146 & 29 & 22.9056857001207 & 6.09431429987925 \tabularnewline
147 & 31 & 24.0583612852257 & 6.94163871477434 \tabularnewline
148 & 20 & 25.4189022425882 & -5.41890224258817 \tabularnewline
149 & 16 & 24.8795459263428 & -8.87954592634277 \tabularnewline
150 & 22 & 23.7212796987443 & -1.72127969874426 \tabularnewline
151 & 20 & 23.6058721273291 & -3.60587212732912 \tabularnewline
152 & 28 & 23.1679487275985 & 4.83205127240148 \tabularnewline
153 & 38 & 24.0403745982060 & 13.9596254017940 \tabularnewline
154 & 22 & 26.4334229591065 & -4.43342295910651 \tabularnewline
155 & 20 & 26.0422274926932 & -6.04222749269321 \tabularnewline
156 & 17 & 25.3406928030624 & -8.34069280306238 \tabularnewline
157 & 28 & 24.1992295108641 & 3.80077048913593 \tabularnewline
158 & 22 & 24.9060064681551 & -2.90600646815513 \tabularnewline
159 & 31 & 24.5823121043630 & 6.41768789563703 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102375&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]17[/C][C]26[/C][C]-9[/C][/ROW]
[ROW][C]4[/C][C]18[/C][C]25.5569232528617[/C][C]-7.55692325286173[/C][/ROW]
[ROW][C]5[/C][C]18[/C][C]25.2388978913124[/C][C]-7.2388978913124[/C][/ROW]
[ROW][C]6[/C][C]16[/C][C]24.8825809102517[/C][C]-8.88258091025172[/C][/ROW]
[ROW][C]7[/C][C]20[/C][C]24.1771857798909[/C][C]-4.17718577989094[/C][/ROW]
[ROW][C]8[/C][C]16[/C][C]24.1213155316231[/C][C]-8.12131553162307[/C][/ROW]
[ROW][C]9[/C][C]18[/C][C]23.3836830893196[/C][C]-5.3836830893196[/C][/ROW]
[ROW][C]10[/C][C]17[/C][C]22.9890550830283[/C][C]-5.98905508302831[/C][/ROW]
[ROW][C]11[/C][C]23[/C][C]22.4337528525002[/C][C]0.566247147499805[/C][/ROW]
[ROW][C]12[/C][C]30[/C][C]22.8587798093853[/C][C]7.1412201906147[/C][/ROW]
[ROW][C]13[/C][C]23[/C][C]24.3447403399755[/C][C]-1.34474033997553[/C][/ROW]
[ROW][C]14[/C][C]18[/C][C]24.554419070337[/C][C]-6.55441907033703[/C][/ROW]
[ROW][C]15[/C][C]15[/C][C]23.9128802275712[/C][C]-8.91288022757119[/C][/ROW]
[ROW][C]16[/C][C]12[/C][C]22.8157414371093[/C][C]-10.8157414371093[/C][/ROW]
[ROW][C]17[/C][C]21[/C][C]21.3081894267768[/C][C]-0.308189426776799[/C][/ROW]
[ROW][C]18[/C][C]15[/C][C]21.3576508040598[/C][C]-6.35765080405982[/C][/ROW]
[ROW][C]19[/C][C]20[/C][C]20.4334890557634[/C][C]-0.433489055763431[/C][/ROW]
[ROW][C]20[/C][C]31[/C][C]20.3841033288207[/C][C]10.6158966711793[/C][/ROW]
[ROW][C]21[/C][C]27[/C][C]22.1012750340763[/C][C]4.89872496592368[/C][/ROW]
[ROW][C]22[/C][C]34[/C][C]23.0271706950317[/C][C]10.9728293049683[/C][/ROW]
[ROW][C]23[/C][C]21[/C][C]24.9848775621701[/C][C]-3.9848775621701[/C][/ROW]
[ROW][C]24[/C][C]31[/C][C]24.6738809107723[/C][C]6.32611908922769[/C][/ROW]
[ROW][C]25[/C][C]19[/C][C]25.9690876636974[/C][C]-6.96908766369744[/C][/ROW]
[ROW][C]26[/C][C]16[/C][C]25.2072587787402[/C][C]-9.20725877874017[/C][/ROW]
[ROW][C]27[/C][C]20[/C][C]24.0042182015492[/C][C]-4.00421820154925[/C][/ROW]
[ROW][C]28[/C][C]21[/C][C]23.5266598623420[/C][C]-2.52665986234204[/C][/ROW]
[ROW][C]29[/C][C]22[/C][C]23.2387064832902[/C][C]-1.23870648329019[/C][/ROW]
[ROW][C]30[/C][C]17[/C][C]23.1274136768620[/C][C]-6.12741367686195[/C][/ROW]
[ROW][C]31[/C][C]24[/C][C]22.2176212516666[/C][C]1.78237874833337[/C][/ROW]
[ROW][C]32[/C][C]25[/C][C]22.5037047972468[/C][C]2.49629520275324[/C][/ROW]
[ROW][C]33[/C][C]26[/C][C]22.9253176870707[/C][C]3.07468231292934[/C][/ROW]
[ROW][C]34[/C][C]25[/C][C]23.4691637553480[/C][C]1.53083624465204[/C][/ROW]
[ROW][C]35[/C][C]17[/C][C]23.8017937791299[/C][C]-6.8017937791299[/C][/ROW]
[ROW][C]36[/C][C]32[/C][C]22.8164410980599[/C][C]9.1835589019401[/C][/ROW]
[ROW][C]37[/C][C]33[/C][C]24.3138470032792[/C][C]8.6861529967208[/C][/ROW]
[ROW][C]38[/C][C]13[/C][C]25.8400008780270[/C][C]-12.8400008780270[/C][/ROW]
[ROW][C]39[/C][C]32[/C][C]24.0172373347638[/C][C]7.98276266523617[/C][/ROW]
[ROW][C]40[/C][C]25[/C][C]25.3815309397272[/C][C]-0.381530939727174[/C][/ROW]
[ROW][C]41[/C][C]29[/C][C]25.4989937976147[/C][C]3.50100620238531[/C][/ROW]
[ROW][C]42[/C][C]22[/C][C]26.2344821302549[/C][C]-4.23448213025485[/C][/ROW]
[ROW][C]43[/C][C]18[/C][C]25.7710119564238[/C][C]-7.77101195642385[/C][/ROW]
[ROW][C]44[/C][C]17[/C][C]24.6904579676335[/C][C]-7.69045796763348[/C][/ROW]
[ROW][C]45[/C][C]20[/C][C]23.5310063179338[/C][C]-3.53100631793384[/C][/ROW]
[ROW][C]46[/C][C]15[/C][C]22.9476267867037[/C][C]-7.94762678670368[/C][/ROW]
[ROW][C]47[/C][C]20[/C][C]21.614359575383[/C][C]-1.61435957538298[/C][/ROW]
[ROW][C]48[/C][C]33[/C][C]21.2026796872420[/C][C]11.7973203127580[/C][/ROW]
[ROW][C]49[/C][C]29[/C][C]22.9223799893022[/C][C]6.07762001069784[/C][/ROW]
[ROW][C]50[/C][C]23[/C][C]23.8643572257781[/C][C]-0.864357225778079[/C][/ROW]
[ROW][C]51[/C][C]26[/C][C]23.765051471862[/C][C]2.23494852813801[/C][/ROW]
[ROW][C]52[/C][C]18[/C][C]24.1524818634737[/C][C]-6.15248186347368[/C][/ROW]
[ROW][C]53[/C][C]20[/C][C]23.2214617833056[/C][C]-3.22146178330556[/C][/ROW]
[ROW][C]54[/C][C]11[/C][C]22.6877158731788[/C][C]-11.6877158731788[/C][/ROW]
[ROW][C]55[/C][C]28[/C][C]20.7584137346555[/C][C]7.24158626534453[/C][/ROW]
[ROW][C]56[/C][C]26[/C][C]21.7261817675308[/C][C]4.27381823246925[/C][/ROW]
[ROW][C]57[/C][C]22[/C][C]22.3036510700095[/C][C]-0.303651070009476[/C][/ROW]
[ROW][C]58[/C][C]17[/C][C]22.1976552213480[/C][C]-5.19765522134802[/C][/ROW]
[ROW][C]59[/C][C]12[/C][C]21.3033580290765[/C][C]-9.30335802907654[/C][/ROW]
[ROW][C]60[/C][C]14[/C][C]19.6893349597043[/C][C]-5.68933495970425[/C][/ROW]
[ROW][C]61[/C][C]17[/C][C]18.5448726999083[/C][C]-1.54487269990830[/C][/ROW]
[ROW][C]62[/C][C]21[/C][C]17.9977222280022[/C][C]3.00227777199780[/C][/ROW]
[ROW][C]63[/C][C]19[/C][C]18.1614177860952[/C][C]0.838582213904758[/C][/ROW]
[ROW][C]64[/C][C]18[/C][C]18.0136540256654[/C][C]-0.0136540256653888[/C][/ROW]
[ROW][C]65[/C][C]10[/C][C]17.7391488974229[/C][C]-7.73914889742285[/C][/ROW]
[ROW][C]66[/C][C]29[/C][C]16.2257622247569[/C][C]12.7742377752431[/C][/ROW]
[ROW][C]67[/C][C]31[/C][C]17.9100927642886[/C][C]13.0899072357114[/C][/ROW]
[ROW][C]68[/C][C]19[/C][C]19.7959648522645[/C][C]-0.795964852264529[/C][/ROW]
[ROW][C]69[/C][C]9[/C][C]19.6100064981797[/C][C]-10.6100064981797[/C][/ROW]
[ROW][C]70[/C][C]20[/C][C]17.8410421884716[/C][C]2.15895781152840[/C][/ROW]
[ROW][C]71[/C][C]28[/C][C]17.9941210630760[/C][C]10.0058789369240[/C][/ROW]
[ROW][C]72[/C][C]19[/C][C]19.4308977731317[/C][C]-0.430897773131665[/C][/ROW]
[ROW][C]73[/C][C]30[/C][C]19.3124408831866[/C][C]10.6875591168134[/C][/ROW]
[ROW][C]74[/C][C]29[/C][C]20.9716470400241[/C][C]8.02835295997589[/C][/ROW]
[ROW][C]75[/C][C]26[/C][C]22.3307437244628[/C][C]3.66925627553723[/C][/ROW]
[ROW][C]76[/C][C]23[/C][C]23.0857490343136[/C][C]-0.0857490343135936[/C][/ROW]
[ROW][C]77[/C][C]13[/C][C]23.2820217525548[/C][C]-10.2820217525548[/C][/ROW]
[ROW][C]78[/C][C]21[/C][C]21.8423920125394[/C][C]-0.842392012539364[/C][/ROW]
[ROW][C]79[/C][C]19[/C][C]21.7948488682669[/C][C]-2.79484886826687[/C][/ROW]
[ROW][C]80[/C][C]28[/C][C]21.4242923695104[/C][C]6.57570763048958[/C][/ROW]
[ROW][C]81[/C][C]23[/C][C]22.5232074376231[/C][C]0.476792562376861[/C][/ROW]
[ROW][C]82[/C][C]18[/C][C]22.7219025345379[/C][C]-4.72190253453788[/C][/ROW]
[ROW][C]83[/C][C]21[/C][C]22.0926624490011[/C][C]-1.09266244900113[/C][/ROW]
[ROW][C]84[/C][C]20[/C][C]21.9895526000421[/C][C]-1.98955260004211[/C][/ROW]
[ROW][C]85[/C][C]23[/C][C]21.7297240025554[/C][C]1.27027599744462[/C][/ROW]
[ROW][C]86[/C][C]21[/C][C]21.9690759955399[/C][C]-0.96907599553992[/C][/ROW]
[ROW][C]87[/C][C]21[/C][C]21.8643743245678[/C][C]-0.86437432456782[/C][/ROW]
[ROW][C]88[/C][C]15[/C][C]21.7650111648746[/C][C]-6.76501116487458[/C][/ROW]
[ROW][C]89[/C][C]28[/C][C]20.7093164060992[/C][C]7.29068359390076[/C][/ROW]
[ROW][C]90[/C][C]19[/C][C]21.8274098750796[/C][C]-2.82740987507958[/C][/ROW]
[ROW][C]91[/C][C]26[/C][C]21.4092882086725[/C][C]4.59071179132748[/C][/ROW]
[ROW][C]92[/C][C]10[/C][C]22.1471963695456[/C][C]-12.1471963695456[/C][/ROW]
[ROW][C]93[/C][C]16[/C][C]20.2555560547833[/C][C]-4.25555605478331[/C][/ROW]
[ROW][C]94[/C][C]22[/C][C]19.4857579532780[/C][C]2.51424204672196[/C][/ROW]
[ROW][C]95[/C][C]19[/C][C]19.7511628480767[/C][C]-0.751162848076692[/C][/ROW]
[ROW][C]96[/C][C]31[/C][C]19.522692199166[/C][C]11.477307800834[/C][/ROW]
[ROW][C]97[/C][C]31[/C][C]21.2460823643632[/C][C]9.75391763563685[/C][/ROW]
[ROW][C]98[/C][C]29[/C][C]22.8287443473442[/C][C]6.17125565265579[/C][/ROW]
[ROW][C]99[/C][C]19[/C][C]23.9521973386665[/C][C]-4.95219733866645[/C][/ROW]
[ROW][C]100[/C][C]22[/C][C]23.3650080332532[/C][C]-1.36500803325317[/C][/ROW]
[ROW][C]101[/C][C]23[/C][C]23.2944855507969[/C][C]-0.294485550796914[/C][/ROW]
[ROW][C]102[/C][C]15[/C][C]23.3794851827804[/C][C]-8.37948518278036[/C][/ROW]
[ROW][C]103[/C][C]20[/C][C]22.1646416078252[/C][C]-2.16464160782524[/C][/ROW]
[ROW][C]104[/C][C]18[/C][C]21.8472947200561[/C][C]-3.84729472005612[/C][/ROW]
[ROW][C]105[/C][C]23[/C][C]21.2345730469301[/C][C]1.76542695306987[/C][/ROW]
[ROW][C]106[/C][C]25[/C][C]21.4763501550301[/C][C]3.52364984496993[/C][/ROW]
[ROW][C]107[/C][C]21[/C][C]22.0209023607957[/C][C]-1.02090236079569[/C][/ROW]
[ROW][C]108[/C][C]24[/C][C]21.8784042290333[/C][C]2.12159577096666[/C][/ROW]
[ROW][C]109[/C][C]25[/C][C]22.2277182217393[/C][C]2.77228177826071[/C][/ROW]
[ROW][C]110[/C][C]17[/C][C]22.7064308910620[/C][C]-5.70643089106197[/C][/ROW]
[ROW][C]111[/C][C]13[/C][C]21.8584052644378[/C][C]-8.85840526443783[/C][/ROW]
[ROW][C]112[/C][C]28[/C][C]20.4375652118241[/C][C]7.5624347881759[/C][/ROW]
[ROW][C]113[/C][C]21[/C][C]21.5450119133312[/C][C]-0.545011913331233[/C][/ROW]
[ROW][C]114[/C][C]25[/C][C]21.4418450405144[/C][C]3.5581549594856[/C][/ROW]
[ROW][C]115[/C][C]9[/C][C]21.9901483103863[/C][C]-12.9901483103863[/C][/ROW]
[ROW][C]116[/C][C]16[/C][C]19.9271051355717[/C][C]-3.92710513557175[/C][/ROW]
[ROW][C]117[/C][C]19[/C][C]19.1637696837105[/C][C]-0.163769683710452[/C][/ROW]
[ROW][C]118[/C][C]17[/C][C]18.9574560318428[/C][C]-1.95745603184277[/C][/ROW]
[ROW][C]119[/C][C]25[/C][C]18.4616044485199[/C][C]6.53839555148008[/C][/ROW]
[ROW][C]120[/C][C]20[/C][C]19.3048663425635[/C][C]0.695133657436497[/C][/ROW]
[ROW][C]121[/C][C]29[/C][C]19.2884593320552[/C][C]9.7115406679448[/C][/ROW]
[ROW][C]122[/C][C]14[/C][C]20.7259727436083[/C][C]-6.7259727436083[/C][/ROW]
[ROW][C]123[/C][C]22[/C][C]19.6426056850003[/C][C]2.35739431499966[/C][/ROW]
[ROW][C]124[/C][C]15[/C][C]19.9362158138169[/C][C]-4.93621581381692[/C][/ROW]
[ROW][C]125[/C][C]19[/C][C]19.0882073335956[/C][C]-0.088207333595605[/C][/ROW]
[ROW][C]126[/C][C]20[/C][C]18.9592165892842[/C][C]1.04078341071582[/C][/ROW]
[ROW][C]127[/C][C]15[/C][C]19.01020815968[/C][C]-4.01020815968[/C][/ROW]
[ROW][C]128[/C][C]20[/C][C]18.2636111092391[/C][C]1.73638889076095[/C][/ROW]
[ROW][C]129[/C][C]18[/C][C]18.3910538588709[/C][C]-0.391053858870901[/C][/ROW]
[ROW][C]130[/C][C]33[/C][C]18.1978937645785[/C][C]14.8021062354215[/C][/ROW]
[ROW][C]131[/C][C]22[/C][C]20.436212963451[/C][C]1.56378703654902[/C][/ROW]
[ROW][C]132[/C][C]16[/C][C]20.7267610392656[/C][C]-4.72676103926561[/C][/ROW]
[ROW][C]133[/C][C]17[/C][C]20.0271469404274[/C][C]-3.02714694042744[/C][/ROW]
[ROW][C]134[/C][C]16[/C][C]19.5442058540098[/C][C]-3.54420585400977[/C][/ROW]
[ROW][C]135[/C][C]21[/C][C]18.9425930987127[/C][C]2.05740690128731[/C][/ROW]
[ROW][C]136[/C][C]26[/C][C]19.1972788689491[/C][C]6.80272113105094[/C][/ROW]
[ROW][C]137[/C][C]18[/C][C]20.2371452382789[/C][C]-2.23714523827891[/C][/ROW]
[ROW][C]138[/C][C]18[/C][C]19.9079161772403[/C][C]-1.9079161772403[/C][/ROW]
[ROW][C]139[/C][C]17[/C][C]19.6050446380504[/C][C]-2.60504463805042[/C][/ROW]
[ROW][C]140[/C][C]22[/C][C]19.1678523588344[/C][C]2.83214764116561[/C][/ROW]
[ROW][C]141[/C][C]30[/C][C]19.5716912289917[/C][C]10.4283087710083[/C][/ROW]
[ROW][C]142[/C][C]30[/C][C]21.2269742901924[/C][C]8.7730257098076[/C][/ROW]
[ROW][C]143[/C][C]24[/C][C]22.7400557557215[/C][C]1.25994424427852[/C][/ROW]
[ROW][C]144[/C][C]21[/C][C]23.1521283023901[/C][C]-2.15212830239013[/C][/ROW]
[ROW][C]145[/C][C]21[/C][C]23.0319889205597[/C][C]-2.03198892055972[/C][/ROW]
[ROW][C]146[/C][C]29[/C][C]22.9056857001207[/C][C]6.09431429987925[/C][/ROW]
[ROW][C]147[/C][C]31[/C][C]24.0583612852257[/C][C]6.94163871477434[/C][/ROW]
[ROW][C]148[/C][C]20[/C][C]25.4189022425882[/C][C]-5.41890224258817[/C][/ROW]
[ROW][C]149[/C][C]16[/C][C]24.8795459263428[/C][C]-8.87954592634277[/C][/ROW]
[ROW][C]150[/C][C]22[/C][C]23.7212796987443[/C][C]-1.72127969874426[/C][/ROW]
[ROW][C]151[/C][C]20[/C][C]23.6058721273291[/C][C]-3.60587212732912[/C][/ROW]
[ROW][C]152[/C][C]28[/C][C]23.1679487275985[/C][C]4.83205127240148[/C][/ROW]
[ROW][C]153[/C][C]38[/C][C]24.0403745982060[/C][C]13.9596254017940[/C][/ROW]
[ROW][C]154[/C][C]22[/C][C]26.4334229591065[/C][C]-4.43342295910651[/C][/ROW]
[ROW][C]155[/C][C]20[/C][C]26.0422274926932[/C][C]-6.04222749269321[/C][/ROW]
[ROW][C]156[/C][C]17[/C][C]25.3406928030624[/C][C]-8.34069280306238[/C][/ROW]
[ROW][C]157[/C][C]28[/C][C]24.1992295108641[/C][C]3.80077048913593[/C][/ROW]
[ROW][C]158[/C][C]22[/C][C]24.9060064681551[/C][C]-2.90600646815513[/C][/ROW]
[ROW][C]159[/C][C]31[/C][C]24.5823121043630[/C][C]6.41768789563703[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102375&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102375&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
31726-9
41825.5569232528617-7.55692325286173
51825.2388978913124-7.2388978913124
61624.8825809102517-8.88258091025172
72024.1771857798909-4.17718577989094
81624.1213155316231-8.12131553162307
91823.3836830893196-5.3836830893196
101722.9890550830283-5.98905508302831
112322.43375285250020.566247147499805
123022.85877980938537.1412201906147
132324.3447403399755-1.34474033997553
141824.554419070337-6.55441907033703
151523.9128802275712-8.91288022757119
161222.8157414371093-10.8157414371093
172121.3081894267768-0.308189426776799
181521.3576508040598-6.35765080405982
192020.4334890557634-0.433489055763431
203120.384103328820710.6158966711793
212722.10127503407634.89872496592368
223423.027170695031710.9728293049683
232124.9848775621701-3.9848775621701
243124.67388091077236.32611908922769
251925.9690876636974-6.96908766369744
261625.2072587787402-9.20725877874017
272024.0042182015492-4.00421820154925
282123.5266598623420-2.52665986234204
292223.2387064832902-1.23870648329019
301723.1274136768620-6.12741367686195
312422.21762125166661.78237874833337
322522.50370479724682.49629520275324
332622.92531768707073.07468231292934
342523.46916375534801.53083624465204
351723.8017937791299-6.8017937791299
363222.81644109805999.1835589019401
373324.31384700327928.6861529967208
381325.8400008780270-12.8400008780270
393224.01723733476387.98276266523617
402525.3815309397272-0.381530939727174
412925.49899379761473.50100620238531
422226.2344821302549-4.23448213025485
431825.7710119564238-7.77101195642385
441724.6904579676335-7.69045796763348
452023.5310063179338-3.53100631793384
461522.9476267867037-7.94762678670368
472021.614359575383-1.61435957538298
483321.202679687242011.7973203127580
492922.92237998930226.07762001069784
502323.8643572257781-0.864357225778079
512623.7650514718622.23494852813801
521824.1524818634737-6.15248186347368
532023.2214617833056-3.22146178330556
541122.6877158731788-11.6877158731788
552820.75841373465557.24158626534453
562621.72618176753084.27381823246925
572222.3036510700095-0.303651070009476
581722.1976552213480-5.19765522134802
591221.3033580290765-9.30335802907654
601419.6893349597043-5.68933495970425
611718.5448726999083-1.54487269990830
622117.99772222800223.00227777199780
631918.16141778609520.838582213904758
641818.0136540256654-0.0136540256653888
651017.7391488974229-7.73914889742285
662916.225762224756912.7742377752431
673117.910092764288613.0899072357114
681919.7959648522645-0.795964852264529
69919.6100064981797-10.6100064981797
702017.84104218847162.15895781152840
712817.994121063076010.0058789369240
721919.4308977731317-0.430897773131665
733019.312440883186610.6875591168134
742920.97164704002418.02835295997589
752622.33074372446283.66925627553723
762323.0857490343136-0.0857490343135936
771323.2820217525548-10.2820217525548
782121.8423920125394-0.842392012539364
791921.7948488682669-2.79484886826687
802821.42429236951046.57570763048958
812322.52320743762310.476792562376861
821822.7219025345379-4.72190253453788
832122.0926624490011-1.09266244900113
842021.9895526000421-1.98955260004211
852321.72972400255541.27027599744462
862121.9690759955399-0.96907599553992
872121.8643743245678-0.86437432456782
881521.7650111648746-6.76501116487458
892820.70931640609927.29068359390076
901921.8274098750796-2.82740987507958
912621.40928820867254.59071179132748
921022.1471963695456-12.1471963695456
931620.2555560547833-4.25555605478331
942219.48575795327802.51424204672196
951919.7511628480767-0.751162848076692
963119.52269219916611.477307800834
973121.24608236436329.75391763563685
982922.82874434734426.17125565265579
991923.9521973386665-4.95219733866645
1002223.3650080332532-1.36500803325317
1012323.2944855507969-0.294485550796914
1021523.3794851827804-8.37948518278036
1032022.1646416078252-2.16464160782524
1041821.8472947200561-3.84729472005612
1052321.23457304693011.76542695306987
1062521.47635015503013.52364984496993
1072122.0209023607957-1.02090236079569
1082421.87840422903332.12159577096666
1092522.22771822173932.77228177826071
1101722.7064308910620-5.70643089106197
1111321.8584052644378-8.85840526443783
1122820.43756521182417.5624347881759
1132121.5450119133312-0.545011913331233
1142521.44184504051443.5581549594856
115921.9901483103863-12.9901483103863
1161619.9271051355717-3.92710513557175
1171919.1637696837105-0.163769683710452
1181718.9574560318428-1.95745603184277
1192518.46160444851996.53839555148008
1202019.30486634256350.695133657436497
1212919.28845933205529.7115406679448
1221420.7259727436083-6.7259727436083
1232219.64260568500032.35739431499966
1241519.9362158138169-4.93621581381692
1251919.0882073335956-0.088207333595605
1262018.95921658928421.04078341071582
1271519.01020815968-4.01020815968
1282018.26361110923911.73638889076095
1291818.3910538588709-0.391053858870901
1303318.197893764578514.8021062354215
1312220.4362129634511.56378703654902
1321620.7267610392656-4.72676103926561
1331720.0271469404274-3.02714694042744
1341619.5442058540098-3.54420585400977
1352118.94259309871272.05740690128731
1362619.19727886894916.80272113105094
1371820.2371452382789-2.23714523827891
1381819.9079161772403-1.9079161772403
1391719.6050446380504-2.60504463805042
1402219.16785235883442.83214764116561
1413019.571691228991710.4283087710083
1423021.22697429019248.7730257098076
1432422.74005575572151.25994424427852
1442123.1521283023901-2.15212830239013
1452123.0319889205597-2.03198892055972
1462922.90568570012076.09431429987925
1473124.05836128522576.94163871477434
1482025.4189022425882-5.41890224258817
1491624.8795459263428-8.87954592634277
1502223.7212796987443-1.72127969874426
1512023.6058721273291-3.60587212732912
1522823.16794872759854.83205127240148
1533824.040374598206013.9596254017940
1542226.4334229591065-4.43342295910651
1552026.0422274926932-6.04222749269321
1561725.3406928030624-8.34069280306238
1572824.19922951086413.80077048913593
1582224.9060064681551-2.90600646815513
1593124.58231210436306.41768789563703







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
16025.719262028044413.597710220337737.8408138357511
16125.903012362626813.626629802600938.1793949226526
16226.086762697209113.634279679101138.5392457153172
16326.270513031791513.619926759996938.9210993035861
16426.454263366373913.582993460247139.3255332725007
16526.638013700956213.523055738014839.7529716638977
16626.821764035538613.439837632180140.2036904388971
16727.00551437012113.333202721880240.6778260183618
16827.189264704703413.203143079335341.1753863300714
16927.373015039285713.049766373968341.6962637046031
17027.556765373868112.873281810417642.2402489373186
17127.740515708450512.673985552734042.8070458641669

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
160 & 25.7192620280444 & 13.5977102203377 & 37.8408138357511 \tabularnewline
161 & 25.9030123626268 & 13.6266298026009 & 38.1793949226526 \tabularnewline
162 & 26.0867626972091 & 13.6342796791011 & 38.5392457153172 \tabularnewline
163 & 26.2705130317915 & 13.6199267599969 & 38.9210993035861 \tabularnewline
164 & 26.4542633663739 & 13.5829934602471 & 39.3255332725007 \tabularnewline
165 & 26.6380137009562 & 13.5230557380148 & 39.7529716638977 \tabularnewline
166 & 26.8217640355386 & 13.4398376321801 & 40.2036904388971 \tabularnewline
167 & 27.005514370121 & 13.3332027218802 & 40.6778260183618 \tabularnewline
168 & 27.1892647047034 & 13.2031430793353 & 41.1753863300714 \tabularnewline
169 & 27.3730150392857 & 13.0497663739683 & 41.6962637046031 \tabularnewline
170 & 27.5567653738681 & 12.8732818104176 & 42.2402489373186 \tabularnewline
171 & 27.7405157084505 & 12.6739855527340 & 42.8070458641669 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102375&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]160[/C][C]25.7192620280444[/C][C]13.5977102203377[/C][C]37.8408138357511[/C][/ROW]
[ROW][C]161[/C][C]25.9030123626268[/C][C]13.6266298026009[/C][C]38.1793949226526[/C][/ROW]
[ROW][C]162[/C][C]26.0867626972091[/C][C]13.6342796791011[/C][C]38.5392457153172[/C][/ROW]
[ROW][C]163[/C][C]26.2705130317915[/C][C]13.6199267599969[/C][C]38.9210993035861[/C][/ROW]
[ROW][C]164[/C][C]26.4542633663739[/C][C]13.5829934602471[/C][C]39.3255332725007[/C][/ROW]
[ROW][C]165[/C][C]26.6380137009562[/C][C]13.5230557380148[/C][C]39.7529716638977[/C][/ROW]
[ROW][C]166[/C][C]26.8217640355386[/C][C]13.4398376321801[/C][C]40.2036904388971[/C][/ROW]
[ROW][C]167[/C][C]27.005514370121[/C][C]13.3332027218802[/C][C]40.6778260183618[/C][/ROW]
[ROW][C]168[/C][C]27.1892647047034[/C][C]13.2031430793353[/C][C]41.1753863300714[/C][/ROW]
[ROW][C]169[/C][C]27.3730150392857[/C][C]13.0497663739683[/C][C]41.6962637046031[/C][/ROW]
[ROW][C]170[/C][C]27.5567653738681[/C][C]12.8732818104176[/C][C]42.2402489373186[/C][/ROW]
[ROW][C]171[/C][C]27.7405157084505[/C][C]12.6739855527340[/C][C]42.8070458641669[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102375&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102375&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
16025.719262028044413.597710220337737.8408138357511
16125.903012362626813.626629802600938.1793949226526
16226.086762697209113.634279679101138.5392457153172
16326.270513031791513.619926759996938.9210993035861
16426.454263366373913.582993460247139.3255332725007
16526.638013700956213.523055738014839.7529716638977
16626.821764035538613.439837632180140.2036904388971
16727.00551437012113.333202721880240.6778260183618
16827.189264704703413.203143079335341.1753863300714
16927.373015039285713.049766373968341.6962637046031
17027.556765373868112.873281810417642.2402489373186
17127.740515708450512.673985552734042.8070458641669



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')