Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 03 Jun 2009 07:04:21 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/03/t1244034418e8bf8m596q9p0ah.htm/, Retrieved Sat, 11 May 2024 18:32:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41479, Retrieved Sat, 11 May 2024 18:32:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opgave 10 oefenin...] [2009-06-03 13:04:21] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
112
118
129
99
116
168
118
129
205
147
150
267
126
129
124
97
102
127
222
214
118
141
154
226
89
77
82
97
127
121
117
117
106
112
134
169
75
108
115
85
101
108
109
124
105
95
135
164
88
85
112
87
91
87
87
142
95
108
139
159
61
82
124
93
108
75
87
103
90
108
123
129
57
65
67
71
76
67
110
118
99
85
107
141
58
65
70
86
93
74
87
73
101
100
96
157
63
115
70
66
67
83
79
77
102
116
100
135
71
60
89
74
73
91
86
74
87
87
109
137
43
69
73
77
69
76
78
70
83
65
110
132
54
55
66
65
60
65
96
55
71
63
74
106
34
47
56
53
53
55
67
52
46
51
58
91
33
40
46
45
41
55
57
54
46
52
48
77
30
35
42
48
44
45
1
1
46
51
63
84
30
39
45
52
28
40
62




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41479&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41479&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41479&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 time7 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.109310071929840
beta0.0423714166076927
gamma0.472651426343311

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.109310071929840 \tabularnewline
beta & 0.0423714166076927 \tabularnewline
gamma & 0.472651426343311 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41479&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]0.109310071929840[/C][/ROW]
[ROW][C]beta[/C][C]0.0423714166076927[/C][/ROW]
[ROW][C]gamma[/C][C]0.472651426343311[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41479&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41479&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
alpha0.109310071929840
beta0.0423714166076927
gamma0.472651426343311







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13126130.144329985792-4.14432998579227
14129126.4973364752022.50266352479839
15124122.3541030737971.64589692620297
169798.6545153114343-1.65451531143428
17102103.969145181214-1.96914518121376
18127130.955762730820-3.95576273082045
19222124.11695550376997.8830444962313
20214147.27851011010266.7214898898984
21118247.190435707455-129.190435707455
22141168.439700539795-27.4397005397954
23154170.457645185292-16.457645185292
24226306.402041255351-80.4020412553512
2589136.587960570770-47.5879605707703
2677130.795017573918-53.7950175739177
2782119.840986676980-37.8409866769804
289791.5256377958965.474362204104
2912796.733945109754330.2660548902457
30121125.284544776200-4.28454477620036
31117156.494041345659-39.494041345659
32117149.366479212369-32.3664792123691
33106149.786376099908-43.786376099908
34112125.960237358704-13.9602373587043
35134130.9536523322173.04634766778256
36169218.523586317661-49.5235863176611
377592.710859859669-17.710859859669
3810886.572608112697721.4273918873023
3911589.386695907434625.6133040925654
408586.488885504333-1.48888550433298
4110199.43785980222241.56214019777758
42108108.617948701567-0.617948701566576
43109122.534659682694-13.5346596826945
44124120.5392142910643.46078570893609
45105119.338657358978-14.3386573589780
4695111.535628022854-16.5356280228535
47135122.20913832707512.7908616729245
48164183.629086168514-19.6290861685139
498880.29186013592447.70813986407559
508592.9576922612251-7.95769226122508
5111293.821654053834818.1783459461652
528779.80391807584557.19608192415453
539194.076640908052-3.076640908052
5487101.224984207056-14.2249842070565
5587107.310872316043-20.3108723160434
56142110.91694926332531.083050736675
5795105.693510297452-10.6935102974518
5810897.66117330211210.3388266978881
59139122.68916083585216.3108391641485
60159169.274115650301-10.2741156503008
616181.1515729239403-20.1515729239403
628283.7547036208831-1.75470362088309
6312495.375168752656528.6248312473435
649378.852069517233914.1479304827661
6510889.260275726464118.7397242735359
667594.14773091836-19.14773091836
678797.0203589012782-10.0203589012782
68103123.080645145108-20.0806451451076
699095.9497204919883-5.94972049198826
7010897.148444122193610.8515558778064
71123123.424604610866-0.424604610866453
72129154.820279590623-25.8202795906231
735767.1183231968959-10.1183231968959
746577.7096229868696-12.7096229868696
756798.4845779076198-31.4845779076198
767172.451782263067-1.45178226306703
777680.6943199911947-4.69431999119467
786768.9183976927783-1.91839769277827
7911075.367433245684934.6325667543151
8011898.4356256208719.56437437913
819983.419837454244515.5801625457555
828593.2049268688733-8.20492686887327
83107110.378052456493-3.37805245649258
84141128.12953538643212.8704646135680
855857.60818655594350.39181344405651
866567.4930286704089-2.49302867040886
877080.366355043281-10.3663550432809
888669.755218745924216.2447812540758
899378.830059018225214.1699409817748
907470.35394367957573.64605632042425
918793.513167006661-6.51316700666105
9273105.723599750896-32.7235997508964
9310184.3440764876216.6559235123800
9410084.321972295227815.6780277047722
9596105.652081361223-9.65208136122297
96157128.73673498330428.2632650166963
976356.53476869079766.46523130920243
9811565.93384646781849.066153532182
997082.319287870801-12.3192878708009
1006683.15865050909-17.1586505090899
1016788.1707224094827-21.1707224094827
1028371.602045732132111.3979542678679
1037991.6658929831596-12.6658929831596
1047791.8747830897244-14.8747830897244
10510293.41469694534118.58530305465885
10611692.150818474451623.8491815255484
107100104.148636217526-4.14863621752573
108135145.197400604675-10.1974006046750
1097159.459430761929811.5405692380702
1106086.2717697122337-26.2717697122337
1118969.662002502106319.3379974978937
1127471.68178495891032.31821504108967
1137376.757687398338-3.75768739833806
1149175.805164164443715.1948358355563
1158686.1570604728685-0.157060472868451
1167486.8638230110096-12.8638230110096
1178798.8913423461226-11.8913423461226
11887101.623020259607-14.6230202596071
11910997.632749999445211.3672500005548
120137136.5922579883130.407742011687219
1214362.7763506832564-19.7763506832564
1226968.99801463644530.00198536355466672
1237373.9125795614875-0.912579561487505
1247766.94826884177910.051731158221
1256970.0298800105226-1.02988001052262
1267676.6213658097904-0.621365809790447
1277878.3829041718505-0.382904171850512
1287073.8553433508115-3.85534335081151
1298385.8842650801318-2.88426508013177
1306587.9837359146015-22.9837359146015
13111092.972470089304117.0275299106959
132132124.8544606359347.14553936406553
1335449.63954625465264.36045374534736
1345566.1450372810717-11.1450372810717
1356669.1418178231420-3.14181782314205
1366566.5706481831012-1.57064818310121
1376063.8228212725377-3.82282127253774
1386569.5399033418519-4.53990334185191
1399670.625485043575325.3745149564247
1405567.7738374466076-12.7738374466076
1417178.165138937122-7.16513893712205
1426371.4643714419119-8.4643714419119
1437492.9901554363611-18.9901554363611
144106113.618334282811-7.61833428281113
1453444.9526527142143-10.9526527142143
1464751.4009355245357-4.4009355245357
1475657.0296222918702-1.02962229187025
1485355.3102296008446-2.31022960084461
1495351.82031651454011.17968348545986
1505556.559898144611-1.55989814461095
1516767.6276825350254-0.627682535025372
1525249.70284506795282.29715493204721
1534661.166521607355-15.1665216073550
1545153.9298742678942-2.92987426789417
1555867.4384165077437-9.43841650774372
1569187.83019163961853.16980836038145
1573332.16551435776220.834485642237809
1584040.626355744086-0.626355744086027
1594646.5771942330355-0.57719423303547
1604544.54506325612960.454936743870405
1614142.9532110429528-1.95321104295283
1625545.33833599517419.66166400482589
1635755.88559996619171.11440003380825
1645442.027521690298111.9724783097019
1654646.3809366490888-0.380936649088767
1665245.93631445061226.06368554938776
1674856.4439993452249-8.44399934522492
1687779.3332731066916-2.33327310669156
1693028.73102025754681.26897974245322
1703535.7454419282666-0.745441928266573
1714241.02061542432790.97938457567215
1724839.78360362676898.21639637323113
1734438.33209708639495.6679029136051
1744545.960199225339-0.960199225338975
175151.2903227976446-50.2903227976446
176137.8417441670556-36.8417441670556
1774631.833801226737514.1661987732625
1785134.608812812480416.3911871875196
1796338.741563553727624.2584364462724
1808462.095385554625621.9046144453744
1813024.09972945337025.90027054662983
1823929.77276481992479.22723518007533
1834536.09656276732718.90343723267287
1845238.59429552913113.405704470869
1852837.0193499770225-9.0193499770225
1864039.7259706267460.274029373253995
1876224.136081904907337.8639180950927

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 126 & 130.144329985792 & -4.14432998579227 \tabularnewline
14 & 129 & 126.497336475202 & 2.50266352479839 \tabularnewline
15 & 124 & 122.354103073797 & 1.64589692620297 \tabularnewline
16 & 97 & 98.6545153114343 & -1.65451531143428 \tabularnewline
17 & 102 & 103.969145181214 & -1.96914518121376 \tabularnewline
18 & 127 & 130.955762730820 & -3.95576273082045 \tabularnewline
19 & 222 & 124.116955503769 & 97.8830444962313 \tabularnewline
20 & 214 & 147.278510110102 & 66.7214898898984 \tabularnewline
21 & 118 & 247.190435707455 & -129.190435707455 \tabularnewline
22 & 141 & 168.439700539795 & -27.4397005397954 \tabularnewline
23 & 154 & 170.457645185292 & -16.457645185292 \tabularnewline
24 & 226 & 306.402041255351 & -80.4020412553512 \tabularnewline
25 & 89 & 136.587960570770 & -47.5879605707703 \tabularnewline
26 & 77 & 130.795017573918 & -53.7950175739177 \tabularnewline
27 & 82 & 119.840986676980 & -37.8409866769804 \tabularnewline
28 & 97 & 91.525637795896 & 5.474362204104 \tabularnewline
29 & 127 & 96.7339451097543 & 30.2660548902457 \tabularnewline
30 & 121 & 125.284544776200 & -4.28454477620036 \tabularnewline
31 & 117 & 156.494041345659 & -39.494041345659 \tabularnewline
32 & 117 & 149.366479212369 & -32.3664792123691 \tabularnewline
33 & 106 & 149.786376099908 & -43.786376099908 \tabularnewline
34 & 112 & 125.960237358704 & -13.9602373587043 \tabularnewline
35 & 134 & 130.953652332217 & 3.04634766778256 \tabularnewline
36 & 169 & 218.523586317661 & -49.5235863176611 \tabularnewline
37 & 75 & 92.710859859669 & -17.710859859669 \tabularnewline
38 & 108 & 86.5726081126977 & 21.4273918873023 \tabularnewline
39 & 115 & 89.3866959074346 & 25.6133040925654 \tabularnewline
40 & 85 & 86.488885504333 & -1.48888550433298 \tabularnewline
41 & 101 & 99.4378598022224 & 1.56214019777758 \tabularnewline
42 & 108 & 108.617948701567 & -0.617948701566576 \tabularnewline
43 & 109 & 122.534659682694 & -13.5346596826945 \tabularnewline
44 & 124 & 120.539214291064 & 3.46078570893609 \tabularnewline
45 & 105 & 119.338657358978 & -14.3386573589780 \tabularnewline
46 & 95 & 111.535628022854 & -16.5356280228535 \tabularnewline
47 & 135 & 122.209138327075 & 12.7908616729245 \tabularnewline
48 & 164 & 183.629086168514 & -19.6290861685139 \tabularnewline
49 & 88 & 80.2918601359244 & 7.70813986407559 \tabularnewline
50 & 85 & 92.9576922612251 & -7.95769226122508 \tabularnewline
51 & 112 & 93.8216540538348 & 18.1783459461652 \tabularnewline
52 & 87 & 79.8039180758455 & 7.19608192415453 \tabularnewline
53 & 91 & 94.076640908052 & -3.076640908052 \tabularnewline
54 & 87 & 101.224984207056 & -14.2249842070565 \tabularnewline
55 & 87 & 107.310872316043 & -20.3108723160434 \tabularnewline
56 & 142 & 110.916949263325 & 31.083050736675 \tabularnewline
57 & 95 & 105.693510297452 & -10.6935102974518 \tabularnewline
58 & 108 & 97.661173302112 & 10.3388266978881 \tabularnewline
59 & 139 & 122.689160835852 & 16.3108391641485 \tabularnewline
60 & 159 & 169.274115650301 & -10.2741156503008 \tabularnewline
61 & 61 & 81.1515729239403 & -20.1515729239403 \tabularnewline
62 & 82 & 83.7547036208831 & -1.75470362088309 \tabularnewline
63 & 124 & 95.3751687526565 & 28.6248312473435 \tabularnewline
64 & 93 & 78.8520695172339 & 14.1479304827661 \tabularnewline
65 & 108 & 89.2602757264641 & 18.7397242735359 \tabularnewline
66 & 75 & 94.14773091836 & -19.14773091836 \tabularnewline
67 & 87 & 97.0203589012782 & -10.0203589012782 \tabularnewline
68 & 103 & 123.080645145108 & -20.0806451451076 \tabularnewline
69 & 90 & 95.9497204919883 & -5.94972049198826 \tabularnewline
70 & 108 & 97.1484441221936 & 10.8515558778064 \tabularnewline
71 & 123 & 123.424604610866 & -0.424604610866453 \tabularnewline
72 & 129 & 154.820279590623 & -25.8202795906231 \tabularnewline
73 & 57 & 67.1183231968959 & -10.1183231968959 \tabularnewline
74 & 65 & 77.7096229868696 & -12.7096229868696 \tabularnewline
75 & 67 & 98.4845779076198 & -31.4845779076198 \tabularnewline
76 & 71 & 72.451782263067 & -1.45178226306703 \tabularnewline
77 & 76 & 80.6943199911947 & -4.69431999119467 \tabularnewline
78 & 67 & 68.9183976927783 & -1.91839769277827 \tabularnewline
79 & 110 & 75.3674332456849 & 34.6325667543151 \tabularnewline
80 & 118 & 98.43562562087 & 19.56437437913 \tabularnewline
81 & 99 & 83.4198374542445 & 15.5801625457555 \tabularnewline
82 & 85 & 93.2049268688733 & -8.20492686887327 \tabularnewline
83 & 107 & 110.378052456493 & -3.37805245649258 \tabularnewline
84 & 141 & 128.129535386432 & 12.8704646135680 \tabularnewline
85 & 58 & 57.6081865559435 & 0.39181344405651 \tabularnewline
86 & 65 & 67.4930286704089 & -2.49302867040886 \tabularnewline
87 & 70 & 80.366355043281 & -10.3663550432809 \tabularnewline
88 & 86 & 69.7552187459242 & 16.2447812540758 \tabularnewline
89 & 93 & 78.8300590182252 & 14.1699409817748 \tabularnewline
90 & 74 & 70.3539436795757 & 3.64605632042425 \tabularnewline
91 & 87 & 93.513167006661 & -6.51316700666105 \tabularnewline
92 & 73 & 105.723599750896 & -32.7235997508964 \tabularnewline
93 & 101 & 84.34407648762 & 16.6559235123800 \tabularnewline
94 & 100 & 84.3219722952278 & 15.6780277047722 \tabularnewline
95 & 96 & 105.652081361223 & -9.65208136122297 \tabularnewline
96 & 157 & 128.736734983304 & 28.2632650166963 \tabularnewline
97 & 63 & 56.5347686907976 & 6.46523130920243 \tabularnewline
98 & 115 & 65.933846467818 & 49.066153532182 \tabularnewline
99 & 70 & 82.319287870801 & -12.3192878708009 \tabularnewline
100 & 66 & 83.15865050909 & -17.1586505090899 \tabularnewline
101 & 67 & 88.1707224094827 & -21.1707224094827 \tabularnewline
102 & 83 & 71.6020457321321 & 11.3979542678679 \tabularnewline
103 & 79 & 91.6658929831596 & -12.6658929831596 \tabularnewline
104 & 77 & 91.8747830897244 & -14.8747830897244 \tabularnewline
105 & 102 & 93.4146969453411 & 8.58530305465885 \tabularnewline
106 & 116 & 92.1508184744516 & 23.8491815255484 \tabularnewline
107 & 100 & 104.148636217526 & -4.14863621752573 \tabularnewline
108 & 135 & 145.197400604675 & -10.1974006046750 \tabularnewline
109 & 71 & 59.4594307619298 & 11.5405692380702 \tabularnewline
110 & 60 & 86.2717697122337 & -26.2717697122337 \tabularnewline
111 & 89 & 69.6620025021063 & 19.3379974978937 \tabularnewline
112 & 74 & 71.6817849589103 & 2.31821504108967 \tabularnewline
113 & 73 & 76.757687398338 & -3.75768739833806 \tabularnewline
114 & 91 & 75.8051641644437 & 15.1948358355563 \tabularnewline
115 & 86 & 86.1570604728685 & -0.157060472868451 \tabularnewline
116 & 74 & 86.8638230110096 & -12.8638230110096 \tabularnewline
117 & 87 & 98.8913423461226 & -11.8913423461226 \tabularnewline
118 & 87 & 101.623020259607 & -14.6230202596071 \tabularnewline
119 & 109 & 97.6327499994452 & 11.3672500005548 \tabularnewline
120 & 137 & 136.592257988313 & 0.407742011687219 \tabularnewline
121 & 43 & 62.7763506832564 & -19.7763506832564 \tabularnewline
122 & 69 & 68.9980146364453 & 0.00198536355466672 \tabularnewline
123 & 73 & 73.9125795614875 & -0.912579561487505 \tabularnewline
124 & 77 & 66.948268841779 & 10.051731158221 \tabularnewline
125 & 69 & 70.0298800105226 & -1.02988001052262 \tabularnewline
126 & 76 & 76.6213658097904 & -0.621365809790447 \tabularnewline
127 & 78 & 78.3829041718505 & -0.382904171850512 \tabularnewline
128 & 70 & 73.8553433508115 & -3.85534335081151 \tabularnewline
129 & 83 & 85.8842650801318 & -2.88426508013177 \tabularnewline
130 & 65 & 87.9837359146015 & -22.9837359146015 \tabularnewline
131 & 110 & 92.9724700893041 & 17.0275299106959 \tabularnewline
132 & 132 & 124.854460635934 & 7.14553936406553 \tabularnewline
133 & 54 & 49.6395462546526 & 4.36045374534736 \tabularnewline
134 & 55 & 66.1450372810717 & -11.1450372810717 \tabularnewline
135 & 66 & 69.1418178231420 & -3.14181782314205 \tabularnewline
136 & 65 & 66.5706481831012 & -1.57064818310121 \tabularnewline
137 & 60 & 63.8228212725377 & -3.82282127253774 \tabularnewline
138 & 65 & 69.5399033418519 & -4.53990334185191 \tabularnewline
139 & 96 & 70.6254850435753 & 25.3745149564247 \tabularnewline
140 & 55 & 67.7738374466076 & -12.7738374466076 \tabularnewline
141 & 71 & 78.165138937122 & -7.16513893712205 \tabularnewline
142 & 63 & 71.4643714419119 & -8.4643714419119 \tabularnewline
143 & 74 & 92.9901554363611 & -18.9901554363611 \tabularnewline
144 & 106 & 113.618334282811 & -7.61833428281113 \tabularnewline
145 & 34 & 44.9526527142143 & -10.9526527142143 \tabularnewline
146 & 47 & 51.4009355245357 & -4.4009355245357 \tabularnewline
147 & 56 & 57.0296222918702 & -1.02962229187025 \tabularnewline
148 & 53 & 55.3102296008446 & -2.31022960084461 \tabularnewline
149 & 53 & 51.8203165145401 & 1.17968348545986 \tabularnewline
150 & 55 & 56.559898144611 & -1.55989814461095 \tabularnewline
151 & 67 & 67.6276825350254 & -0.627682535025372 \tabularnewline
152 & 52 & 49.7028450679528 & 2.29715493204721 \tabularnewline
153 & 46 & 61.166521607355 & -15.1665216073550 \tabularnewline
154 & 51 & 53.9298742678942 & -2.92987426789417 \tabularnewline
155 & 58 & 67.4384165077437 & -9.43841650774372 \tabularnewline
156 & 91 & 87.8301916396185 & 3.16980836038145 \tabularnewline
157 & 33 & 32.1655143577622 & 0.834485642237809 \tabularnewline
158 & 40 & 40.626355744086 & -0.626355744086027 \tabularnewline
159 & 46 & 46.5771942330355 & -0.57719423303547 \tabularnewline
160 & 45 & 44.5450632561296 & 0.454936743870405 \tabularnewline
161 & 41 & 42.9532110429528 & -1.95321104295283 \tabularnewline
162 & 55 & 45.3383359951741 & 9.66166400482589 \tabularnewline
163 & 57 & 55.8855999661917 & 1.11440003380825 \tabularnewline
164 & 54 & 42.0275216902981 & 11.9724783097019 \tabularnewline
165 & 46 & 46.3809366490888 & -0.380936649088767 \tabularnewline
166 & 52 & 45.9363144506122 & 6.06368554938776 \tabularnewline
167 & 48 & 56.4439993452249 & -8.44399934522492 \tabularnewline
168 & 77 & 79.3332731066916 & -2.33327310669156 \tabularnewline
169 & 30 & 28.7310202575468 & 1.26897974245322 \tabularnewline
170 & 35 & 35.7454419282666 & -0.745441928266573 \tabularnewline
171 & 42 & 41.0206154243279 & 0.97938457567215 \tabularnewline
172 & 48 & 39.7836036267689 & 8.21639637323113 \tabularnewline
173 & 44 & 38.3320970863949 & 5.6679029136051 \tabularnewline
174 & 45 & 45.960199225339 & -0.960199225338975 \tabularnewline
175 & 1 & 51.2903227976446 & -50.2903227976446 \tabularnewline
176 & 1 & 37.8417441670556 & -36.8417441670556 \tabularnewline
177 & 46 & 31.8338012267375 & 14.1661987732625 \tabularnewline
178 & 51 & 34.6088128124804 & 16.3911871875196 \tabularnewline
179 & 63 & 38.7415635537276 & 24.2584364462724 \tabularnewline
180 & 84 & 62.0953855546256 & 21.9046144453744 \tabularnewline
181 & 30 & 24.0997294533702 & 5.90027054662983 \tabularnewline
182 & 39 & 29.7727648199247 & 9.22723518007533 \tabularnewline
183 & 45 & 36.0965627673271 & 8.90343723267287 \tabularnewline
184 & 52 & 38.594295529131 & 13.405704470869 \tabularnewline
185 & 28 & 37.0193499770225 & -9.0193499770225 \tabularnewline
186 & 40 & 39.725970626746 & 0.274029373253995 \tabularnewline
187 & 62 & 24.1360819049073 & 37.8639180950927 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41479&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]126[/C][C]130.144329985792[/C][C]-4.14432998579227[/C][/ROW]
[ROW][C]14[/C][C]129[/C][C]126.497336475202[/C][C]2.50266352479839[/C][/ROW]
[ROW][C]15[/C][C]124[/C][C]122.354103073797[/C][C]1.64589692620297[/C][/ROW]
[ROW][C]16[/C][C]97[/C][C]98.6545153114343[/C][C]-1.65451531143428[/C][/ROW]
[ROW][C]17[/C][C]102[/C][C]103.969145181214[/C][C]-1.96914518121376[/C][/ROW]
[ROW][C]18[/C][C]127[/C][C]130.955762730820[/C][C]-3.95576273082045[/C][/ROW]
[ROW][C]19[/C][C]222[/C][C]124.116955503769[/C][C]97.8830444962313[/C][/ROW]
[ROW][C]20[/C][C]214[/C][C]147.278510110102[/C][C]66.7214898898984[/C][/ROW]
[ROW][C]21[/C][C]118[/C][C]247.190435707455[/C][C]-129.190435707455[/C][/ROW]
[ROW][C]22[/C][C]141[/C][C]168.439700539795[/C][C]-27.4397005397954[/C][/ROW]
[ROW][C]23[/C][C]154[/C][C]170.457645185292[/C][C]-16.457645185292[/C][/ROW]
[ROW][C]24[/C][C]226[/C][C]306.402041255351[/C][C]-80.4020412553512[/C][/ROW]
[ROW][C]25[/C][C]89[/C][C]136.587960570770[/C][C]-47.5879605707703[/C][/ROW]
[ROW][C]26[/C][C]77[/C][C]130.795017573918[/C][C]-53.7950175739177[/C][/ROW]
[ROW][C]27[/C][C]82[/C][C]119.840986676980[/C][C]-37.8409866769804[/C][/ROW]
[ROW][C]28[/C][C]97[/C][C]91.525637795896[/C][C]5.474362204104[/C][/ROW]
[ROW][C]29[/C][C]127[/C][C]96.7339451097543[/C][C]30.2660548902457[/C][/ROW]
[ROW][C]30[/C][C]121[/C][C]125.284544776200[/C][C]-4.28454477620036[/C][/ROW]
[ROW][C]31[/C][C]117[/C][C]156.494041345659[/C][C]-39.494041345659[/C][/ROW]
[ROW][C]32[/C][C]117[/C][C]149.366479212369[/C][C]-32.3664792123691[/C][/ROW]
[ROW][C]33[/C][C]106[/C][C]149.786376099908[/C][C]-43.786376099908[/C][/ROW]
[ROW][C]34[/C][C]112[/C][C]125.960237358704[/C][C]-13.9602373587043[/C][/ROW]
[ROW][C]35[/C][C]134[/C][C]130.953652332217[/C][C]3.04634766778256[/C][/ROW]
[ROW][C]36[/C][C]169[/C][C]218.523586317661[/C][C]-49.5235863176611[/C][/ROW]
[ROW][C]37[/C][C]75[/C][C]92.710859859669[/C][C]-17.710859859669[/C][/ROW]
[ROW][C]38[/C][C]108[/C][C]86.5726081126977[/C][C]21.4273918873023[/C][/ROW]
[ROW][C]39[/C][C]115[/C][C]89.3866959074346[/C][C]25.6133040925654[/C][/ROW]
[ROW][C]40[/C][C]85[/C][C]86.488885504333[/C][C]-1.48888550433298[/C][/ROW]
[ROW][C]41[/C][C]101[/C][C]99.4378598022224[/C][C]1.56214019777758[/C][/ROW]
[ROW][C]42[/C][C]108[/C][C]108.617948701567[/C][C]-0.617948701566576[/C][/ROW]
[ROW][C]43[/C][C]109[/C][C]122.534659682694[/C][C]-13.5346596826945[/C][/ROW]
[ROW][C]44[/C][C]124[/C][C]120.539214291064[/C][C]3.46078570893609[/C][/ROW]
[ROW][C]45[/C][C]105[/C][C]119.338657358978[/C][C]-14.3386573589780[/C][/ROW]
[ROW][C]46[/C][C]95[/C][C]111.535628022854[/C][C]-16.5356280228535[/C][/ROW]
[ROW][C]47[/C][C]135[/C][C]122.209138327075[/C][C]12.7908616729245[/C][/ROW]
[ROW][C]48[/C][C]164[/C][C]183.629086168514[/C][C]-19.6290861685139[/C][/ROW]
[ROW][C]49[/C][C]88[/C][C]80.2918601359244[/C][C]7.70813986407559[/C][/ROW]
[ROW][C]50[/C][C]85[/C][C]92.9576922612251[/C][C]-7.95769226122508[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]93.8216540538348[/C][C]18.1783459461652[/C][/ROW]
[ROW][C]52[/C][C]87[/C][C]79.8039180758455[/C][C]7.19608192415453[/C][/ROW]
[ROW][C]53[/C][C]91[/C][C]94.076640908052[/C][C]-3.076640908052[/C][/ROW]
[ROW][C]54[/C][C]87[/C][C]101.224984207056[/C][C]-14.2249842070565[/C][/ROW]
[ROW][C]55[/C][C]87[/C][C]107.310872316043[/C][C]-20.3108723160434[/C][/ROW]
[ROW][C]56[/C][C]142[/C][C]110.916949263325[/C][C]31.083050736675[/C][/ROW]
[ROW][C]57[/C][C]95[/C][C]105.693510297452[/C][C]-10.6935102974518[/C][/ROW]
[ROW][C]58[/C][C]108[/C][C]97.661173302112[/C][C]10.3388266978881[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]122.689160835852[/C][C]16.3108391641485[/C][/ROW]
[ROW][C]60[/C][C]159[/C][C]169.274115650301[/C][C]-10.2741156503008[/C][/ROW]
[ROW][C]61[/C][C]61[/C][C]81.1515729239403[/C][C]-20.1515729239403[/C][/ROW]
[ROW][C]62[/C][C]82[/C][C]83.7547036208831[/C][C]-1.75470362088309[/C][/ROW]
[ROW][C]63[/C][C]124[/C][C]95.3751687526565[/C][C]28.6248312473435[/C][/ROW]
[ROW][C]64[/C][C]93[/C][C]78.8520695172339[/C][C]14.1479304827661[/C][/ROW]
[ROW][C]65[/C][C]108[/C][C]89.2602757264641[/C][C]18.7397242735359[/C][/ROW]
[ROW][C]66[/C][C]75[/C][C]94.14773091836[/C][C]-19.14773091836[/C][/ROW]
[ROW][C]67[/C][C]87[/C][C]97.0203589012782[/C][C]-10.0203589012782[/C][/ROW]
[ROW][C]68[/C][C]103[/C][C]123.080645145108[/C][C]-20.0806451451076[/C][/ROW]
[ROW][C]69[/C][C]90[/C][C]95.9497204919883[/C][C]-5.94972049198826[/C][/ROW]
[ROW][C]70[/C][C]108[/C][C]97.1484441221936[/C][C]10.8515558778064[/C][/ROW]
[ROW][C]71[/C][C]123[/C][C]123.424604610866[/C][C]-0.424604610866453[/C][/ROW]
[ROW][C]72[/C][C]129[/C][C]154.820279590623[/C][C]-25.8202795906231[/C][/ROW]
[ROW][C]73[/C][C]57[/C][C]67.1183231968959[/C][C]-10.1183231968959[/C][/ROW]
[ROW][C]74[/C][C]65[/C][C]77.7096229868696[/C][C]-12.7096229868696[/C][/ROW]
[ROW][C]75[/C][C]67[/C][C]98.4845779076198[/C][C]-31.4845779076198[/C][/ROW]
[ROW][C]76[/C][C]71[/C][C]72.451782263067[/C][C]-1.45178226306703[/C][/ROW]
[ROW][C]77[/C][C]76[/C][C]80.6943199911947[/C][C]-4.69431999119467[/C][/ROW]
[ROW][C]78[/C][C]67[/C][C]68.9183976927783[/C][C]-1.91839769277827[/C][/ROW]
[ROW][C]79[/C][C]110[/C][C]75.3674332456849[/C][C]34.6325667543151[/C][/ROW]
[ROW][C]80[/C][C]118[/C][C]98.43562562087[/C][C]19.56437437913[/C][/ROW]
[ROW][C]81[/C][C]99[/C][C]83.4198374542445[/C][C]15.5801625457555[/C][/ROW]
[ROW][C]82[/C][C]85[/C][C]93.2049268688733[/C][C]-8.20492686887327[/C][/ROW]
[ROW][C]83[/C][C]107[/C][C]110.378052456493[/C][C]-3.37805245649258[/C][/ROW]
[ROW][C]84[/C][C]141[/C][C]128.129535386432[/C][C]12.8704646135680[/C][/ROW]
[ROW][C]85[/C][C]58[/C][C]57.6081865559435[/C][C]0.39181344405651[/C][/ROW]
[ROW][C]86[/C][C]65[/C][C]67.4930286704089[/C][C]-2.49302867040886[/C][/ROW]
[ROW][C]87[/C][C]70[/C][C]80.366355043281[/C][C]-10.3663550432809[/C][/ROW]
[ROW][C]88[/C][C]86[/C][C]69.7552187459242[/C][C]16.2447812540758[/C][/ROW]
[ROW][C]89[/C][C]93[/C][C]78.8300590182252[/C][C]14.1699409817748[/C][/ROW]
[ROW][C]90[/C][C]74[/C][C]70.3539436795757[/C][C]3.64605632042425[/C][/ROW]
[ROW][C]91[/C][C]87[/C][C]93.513167006661[/C][C]-6.51316700666105[/C][/ROW]
[ROW][C]92[/C][C]73[/C][C]105.723599750896[/C][C]-32.7235997508964[/C][/ROW]
[ROW][C]93[/C][C]101[/C][C]84.34407648762[/C][C]16.6559235123800[/C][/ROW]
[ROW][C]94[/C][C]100[/C][C]84.3219722952278[/C][C]15.6780277047722[/C][/ROW]
[ROW][C]95[/C][C]96[/C][C]105.652081361223[/C][C]-9.65208136122297[/C][/ROW]
[ROW][C]96[/C][C]157[/C][C]128.736734983304[/C][C]28.2632650166963[/C][/ROW]
[ROW][C]97[/C][C]63[/C][C]56.5347686907976[/C][C]6.46523130920243[/C][/ROW]
[ROW][C]98[/C][C]115[/C][C]65.933846467818[/C][C]49.066153532182[/C][/ROW]
[ROW][C]99[/C][C]70[/C][C]82.319287870801[/C][C]-12.3192878708009[/C][/ROW]
[ROW][C]100[/C][C]66[/C][C]83.15865050909[/C][C]-17.1586505090899[/C][/ROW]
[ROW][C]101[/C][C]67[/C][C]88.1707224094827[/C][C]-21.1707224094827[/C][/ROW]
[ROW][C]102[/C][C]83[/C][C]71.6020457321321[/C][C]11.3979542678679[/C][/ROW]
[ROW][C]103[/C][C]79[/C][C]91.6658929831596[/C][C]-12.6658929831596[/C][/ROW]
[ROW][C]104[/C][C]77[/C][C]91.8747830897244[/C][C]-14.8747830897244[/C][/ROW]
[ROW][C]105[/C][C]102[/C][C]93.4146969453411[/C][C]8.58530305465885[/C][/ROW]
[ROW][C]106[/C][C]116[/C][C]92.1508184744516[/C][C]23.8491815255484[/C][/ROW]
[ROW][C]107[/C][C]100[/C][C]104.148636217526[/C][C]-4.14863621752573[/C][/ROW]
[ROW][C]108[/C][C]135[/C][C]145.197400604675[/C][C]-10.1974006046750[/C][/ROW]
[ROW][C]109[/C][C]71[/C][C]59.4594307619298[/C][C]11.5405692380702[/C][/ROW]
[ROW][C]110[/C][C]60[/C][C]86.2717697122337[/C][C]-26.2717697122337[/C][/ROW]
[ROW][C]111[/C][C]89[/C][C]69.6620025021063[/C][C]19.3379974978937[/C][/ROW]
[ROW][C]112[/C][C]74[/C][C]71.6817849589103[/C][C]2.31821504108967[/C][/ROW]
[ROW][C]113[/C][C]73[/C][C]76.757687398338[/C][C]-3.75768739833806[/C][/ROW]
[ROW][C]114[/C][C]91[/C][C]75.8051641644437[/C][C]15.1948358355563[/C][/ROW]
[ROW][C]115[/C][C]86[/C][C]86.1570604728685[/C][C]-0.157060472868451[/C][/ROW]
[ROW][C]116[/C][C]74[/C][C]86.8638230110096[/C][C]-12.8638230110096[/C][/ROW]
[ROW][C]117[/C][C]87[/C][C]98.8913423461226[/C][C]-11.8913423461226[/C][/ROW]
[ROW][C]118[/C][C]87[/C][C]101.623020259607[/C][C]-14.6230202596071[/C][/ROW]
[ROW][C]119[/C][C]109[/C][C]97.6327499994452[/C][C]11.3672500005548[/C][/ROW]
[ROW][C]120[/C][C]137[/C][C]136.592257988313[/C][C]0.407742011687219[/C][/ROW]
[ROW][C]121[/C][C]43[/C][C]62.7763506832564[/C][C]-19.7763506832564[/C][/ROW]
[ROW][C]122[/C][C]69[/C][C]68.9980146364453[/C][C]0.00198536355466672[/C][/ROW]
[ROW][C]123[/C][C]73[/C][C]73.9125795614875[/C][C]-0.912579561487505[/C][/ROW]
[ROW][C]124[/C][C]77[/C][C]66.948268841779[/C][C]10.051731158221[/C][/ROW]
[ROW][C]125[/C][C]69[/C][C]70.0298800105226[/C][C]-1.02988001052262[/C][/ROW]
[ROW][C]126[/C][C]76[/C][C]76.6213658097904[/C][C]-0.621365809790447[/C][/ROW]
[ROW][C]127[/C][C]78[/C][C]78.3829041718505[/C][C]-0.382904171850512[/C][/ROW]
[ROW][C]128[/C][C]70[/C][C]73.8553433508115[/C][C]-3.85534335081151[/C][/ROW]
[ROW][C]129[/C][C]83[/C][C]85.8842650801318[/C][C]-2.88426508013177[/C][/ROW]
[ROW][C]130[/C][C]65[/C][C]87.9837359146015[/C][C]-22.9837359146015[/C][/ROW]
[ROW][C]131[/C][C]110[/C][C]92.9724700893041[/C][C]17.0275299106959[/C][/ROW]
[ROW][C]132[/C][C]132[/C][C]124.854460635934[/C][C]7.14553936406553[/C][/ROW]
[ROW][C]133[/C][C]54[/C][C]49.6395462546526[/C][C]4.36045374534736[/C][/ROW]
[ROW][C]134[/C][C]55[/C][C]66.1450372810717[/C][C]-11.1450372810717[/C][/ROW]
[ROW][C]135[/C][C]66[/C][C]69.1418178231420[/C][C]-3.14181782314205[/C][/ROW]
[ROW][C]136[/C][C]65[/C][C]66.5706481831012[/C][C]-1.57064818310121[/C][/ROW]
[ROW][C]137[/C][C]60[/C][C]63.8228212725377[/C][C]-3.82282127253774[/C][/ROW]
[ROW][C]138[/C][C]65[/C][C]69.5399033418519[/C][C]-4.53990334185191[/C][/ROW]
[ROW][C]139[/C][C]96[/C][C]70.6254850435753[/C][C]25.3745149564247[/C][/ROW]
[ROW][C]140[/C][C]55[/C][C]67.7738374466076[/C][C]-12.7738374466076[/C][/ROW]
[ROW][C]141[/C][C]71[/C][C]78.165138937122[/C][C]-7.16513893712205[/C][/ROW]
[ROW][C]142[/C][C]63[/C][C]71.4643714419119[/C][C]-8.4643714419119[/C][/ROW]
[ROW][C]143[/C][C]74[/C][C]92.9901554363611[/C][C]-18.9901554363611[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]113.618334282811[/C][C]-7.61833428281113[/C][/ROW]
[ROW][C]145[/C][C]34[/C][C]44.9526527142143[/C][C]-10.9526527142143[/C][/ROW]
[ROW][C]146[/C][C]47[/C][C]51.4009355245357[/C][C]-4.4009355245357[/C][/ROW]
[ROW][C]147[/C][C]56[/C][C]57.0296222918702[/C][C]-1.02962229187025[/C][/ROW]
[ROW][C]148[/C][C]53[/C][C]55.3102296008446[/C][C]-2.31022960084461[/C][/ROW]
[ROW][C]149[/C][C]53[/C][C]51.8203165145401[/C][C]1.17968348545986[/C][/ROW]
[ROW][C]150[/C][C]55[/C][C]56.559898144611[/C][C]-1.55989814461095[/C][/ROW]
[ROW][C]151[/C][C]67[/C][C]67.6276825350254[/C][C]-0.627682535025372[/C][/ROW]
[ROW][C]152[/C][C]52[/C][C]49.7028450679528[/C][C]2.29715493204721[/C][/ROW]
[ROW][C]153[/C][C]46[/C][C]61.166521607355[/C][C]-15.1665216073550[/C][/ROW]
[ROW][C]154[/C][C]51[/C][C]53.9298742678942[/C][C]-2.92987426789417[/C][/ROW]
[ROW][C]155[/C][C]58[/C][C]67.4384165077437[/C][C]-9.43841650774372[/C][/ROW]
[ROW][C]156[/C][C]91[/C][C]87.8301916396185[/C][C]3.16980836038145[/C][/ROW]
[ROW][C]157[/C][C]33[/C][C]32.1655143577622[/C][C]0.834485642237809[/C][/ROW]
[ROW][C]158[/C][C]40[/C][C]40.626355744086[/C][C]-0.626355744086027[/C][/ROW]
[ROW][C]159[/C][C]46[/C][C]46.5771942330355[/C][C]-0.57719423303547[/C][/ROW]
[ROW][C]160[/C][C]45[/C][C]44.5450632561296[/C][C]0.454936743870405[/C][/ROW]
[ROW][C]161[/C][C]41[/C][C]42.9532110429528[/C][C]-1.95321104295283[/C][/ROW]
[ROW][C]162[/C][C]55[/C][C]45.3383359951741[/C][C]9.66166400482589[/C][/ROW]
[ROW][C]163[/C][C]57[/C][C]55.8855999661917[/C][C]1.11440003380825[/C][/ROW]
[ROW][C]164[/C][C]54[/C][C]42.0275216902981[/C][C]11.9724783097019[/C][/ROW]
[ROW][C]165[/C][C]46[/C][C]46.3809366490888[/C][C]-0.380936649088767[/C][/ROW]
[ROW][C]166[/C][C]52[/C][C]45.9363144506122[/C][C]6.06368554938776[/C][/ROW]
[ROW][C]167[/C][C]48[/C][C]56.4439993452249[/C][C]-8.44399934522492[/C][/ROW]
[ROW][C]168[/C][C]77[/C][C]79.3332731066916[/C][C]-2.33327310669156[/C][/ROW]
[ROW][C]169[/C][C]30[/C][C]28.7310202575468[/C][C]1.26897974245322[/C][/ROW]
[ROW][C]170[/C][C]35[/C][C]35.7454419282666[/C][C]-0.745441928266573[/C][/ROW]
[ROW][C]171[/C][C]42[/C][C]41.0206154243279[/C][C]0.97938457567215[/C][/ROW]
[ROW][C]172[/C][C]48[/C][C]39.7836036267689[/C][C]8.21639637323113[/C][/ROW]
[ROW][C]173[/C][C]44[/C][C]38.3320970863949[/C][C]5.6679029136051[/C][/ROW]
[ROW][C]174[/C][C]45[/C][C]45.960199225339[/C][C]-0.960199225338975[/C][/ROW]
[ROW][C]175[/C][C]1[/C][C]51.2903227976446[/C][C]-50.2903227976446[/C][/ROW]
[ROW][C]176[/C][C]1[/C][C]37.8417441670556[/C][C]-36.8417441670556[/C][/ROW]
[ROW][C]177[/C][C]46[/C][C]31.8338012267375[/C][C]14.1661987732625[/C][/ROW]
[ROW][C]178[/C][C]51[/C][C]34.6088128124804[/C][C]16.3911871875196[/C][/ROW]
[ROW][C]179[/C][C]63[/C][C]38.7415635537276[/C][C]24.2584364462724[/C][/ROW]
[ROW][C]180[/C][C]84[/C][C]62.0953855546256[/C][C]21.9046144453744[/C][/ROW]
[ROW][C]181[/C][C]30[/C][C]24.0997294533702[/C][C]5.90027054662983[/C][/ROW]
[ROW][C]182[/C][C]39[/C][C]29.7727648199247[/C][C]9.22723518007533[/C][/ROW]
[ROW][C]183[/C][C]45[/C][C]36.0965627673271[/C][C]8.90343723267287[/C][/ROW]
[ROW][C]184[/C][C]52[/C][C]38.594295529131[/C][C]13.405704470869[/C][/ROW]
[ROW][C]185[/C][C]28[/C][C]37.0193499770225[/C][C]-9.0193499770225[/C][/ROW]
[ROW][C]186[/C][C]40[/C][C]39.725970626746[/C][C]0.274029373253995[/C][/ROW]
[ROW][C]187[/C][C]62[/C][C]24.1360819049073[/C][C]37.8639180950927[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41479&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41479&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
13126130.144329985792-4.14432998579227
14129126.4973364752022.50266352479839
15124122.3541030737971.64589692620297
169798.6545153114343-1.65451531143428
17102103.969145181214-1.96914518121376
18127130.955762730820-3.95576273082045
19222124.11695550376997.8830444962313
20214147.27851011010266.7214898898984
21118247.190435707455-129.190435707455
22141168.439700539795-27.4397005397954
23154170.457645185292-16.457645185292
24226306.402041255351-80.4020412553512
2589136.587960570770-47.5879605707703
2677130.795017573918-53.7950175739177
2782119.840986676980-37.8409866769804
289791.5256377958965.474362204104
2912796.733945109754330.2660548902457
30121125.284544776200-4.28454477620036
31117156.494041345659-39.494041345659
32117149.366479212369-32.3664792123691
33106149.786376099908-43.786376099908
34112125.960237358704-13.9602373587043
35134130.9536523322173.04634766778256
36169218.523586317661-49.5235863176611
377592.710859859669-17.710859859669
3810886.572608112697721.4273918873023
3911589.386695907434625.6133040925654
408586.488885504333-1.48888550433298
4110199.43785980222241.56214019777758
42108108.617948701567-0.617948701566576
43109122.534659682694-13.5346596826945
44124120.5392142910643.46078570893609
45105119.338657358978-14.3386573589780
4695111.535628022854-16.5356280228535
47135122.20913832707512.7908616729245
48164183.629086168514-19.6290861685139
498880.29186013592447.70813986407559
508592.9576922612251-7.95769226122508
5111293.821654053834818.1783459461652
528779.80391807584557.19608192415453
539194.076640908052-3.076640908052
5487101.224984207056-14.2249842070565
5587107.310872316043-20.3108723160434
56142110.91694926332531.083050736675
5795105.693510297452-10.6935102974518
5810897.66117330211210.3388266978881
59139122.68916083585216.3108391641485
60159169.274115650301-10.2741156503008
616181.1515729239403-20.1515729239403
628283.7547036208831-1.75470362088309
6312495.375168752656528.6248312473435
649378.852069517233914.1479304827661
6510889.260275726464118.7397242735359
667594.14773091836-19.14773091836
678797.0203589012782-10.0203589012782
68103123.080645145108-20.0806451451076
699095.9497204919883-5.94972049198826
7010897.148444122193610.8515558778064
71123123.424604610866-0.424604610866453
72129154.820279590623-25.8202795906231
735767.1183231968959-10.1183231968959
746577.7096229868696-12.7096229868696
756798.4845779076198-31.4845779076198
767172.451782263067-1.45178226306703
777680.6943199911947-4.69431999119467
786768.9183976927783-1.91839769277827
7911075.367433245684934.6325667543151
8011898.4356256208719.56437437913
819983.419837454244515.5801625457555
828593.2049268688733-8.20492686887327
83107110.378052456493-3.37805245649258
84141128.12953538643212.8704646135680
855857.60818655594350.39181344405651
866567.4930286704089-2.49302867040886
877080.366355043281-10.3663550432809
888669.755218745924216.2447812540758
899378.830059018225214.1699409817748
907470.35394367957573.64605632042425
918793.513167006661-6.51316700666105
9273105.723599750896-32.7235997508964
9310184.3440764876216.6559235123800
9410084.321972295227815.6780277047722
9596105.652081361223-9.65208136122297
96157128.73673498330428.2632650166963
976356.53476869079766.46523130920243
9811565.93384646781849.066153532182
997082.319287870801-12.3192878708009
1006683.15865050909-17.1586505090899
1016788.1707224094827-21.1707224094827
1028371.602045732132111.3979542678679
1037991.6658929831596-12.6658929831596
1047791.8747830897244-14.8747830897244
10510293.41469694534118.58530305465885
10611692.150818474451623.8491815255484
107100104.148636217526-4.14863621752573
108135145.197400604675-10.1974006046750
1097159.459430761929811.5405692380702
1106086.2717697122337-26.2717697122337
1118969.662002502106319.3379974978937
1127471.68178495891032.31821504108967
1137376.757687398338-3.75768739833806
1149175.805164164443715.1948358355563
1158686.1570604728685-0.157060472868451
1167486.8638230110096-12.8638230110096
1178798.8913423461226-11.8913423461226
11887101.623020259607-14.6230202596071
11910997.632749999445211.3672500005548
120137136.5922579883130.407742011687219
1214362.7763506832564-19.7763506832564
1226968.99801463644530.00198536355466672
1237373.9125795614875-0.912579561487505
1247766.94826884177910.051731158221
1256970.0298800105226-1.02988001052262
1267676.6213658097904-0.621365809790447
1277878.3829041718505-0.382904171850512
1287073.8553433508115-3.85534335081151
1298385.8842650801318-2.88426508013177
1306587.9837359146015-22.9837359146015
13111092.972470089304117.0275299106959
132132124.8544606359347.14553936406553
1335449.63954625465264.36045374534736
1345566.1450372810717-11.1450372810717
1356669.1418178231420-3.14181782314205
1366566.5706481831012-1.57064818310121
1376063.8228212725377-3.82282127253774
1386569.5399033418519-4.53990334185191
1399670.625485043575325.3745149564247
1405567.7738374466076-12.7738374466076
1417178.165138937122-7.16513893712205
1426371.4643714419119-8.4643714419119
1437492.9901554363611-18.9901554363611
144106113.618334282811-7.61833428281113
1453444.9526527142143-10.9526527142143
1464751.4009355245357-4.4009355245357
1475657.0296222918702-1.02962229187025
1485355.3102296008446-2.31022960084461
1495351.82031651454011.17968348545986
1505556.559898144611-1.55989814461095
1516767.6276825350254-0.627682535025372
1525249.70284506795282.29715493204721
1534661.166521607355-15.1665216073550
1545153.9298742678942-2.92987426789417
1555867.4384165077437-9.43841650774372
1569187.83019163961853.16980836038145
1573332.16551435776220.834485642237809
1584040.626355744086-0.626355744086027
1594646.5771942330355-0.57719423303547
1604544.54506325612960.454936743870405
1614142.9532110429528-1.95321104295283
1625545.33833599517419.66166400482589
1635755.88559996619171.11440003380825
1645442.027521690298111.9724783097019
1654646.3809366490888-0.380936649088767
1665245.93631445061226.06368554938776
1674856.4439993452249-8.44399934522492
1687779.3332731066916-2.33327310669156
1693028.73102025754681.26897974245322
1703535.7454419282666-0.745441928266573
1714241.02061542432790.97938457567215
1724839.78360362676898.21639637323113
1734438.33209708639495.6679029136051
1744545.960199225339-0.960199225338975
175151.2903227976446-50.2903227976446
176137.8417441670556-36.8417441670556
1774631.833801226737514.1661987732625
1785134.608812812480416.3911871875196
1796338.741563553727624.2584364462724
1808462.095385554625621.9046144453744
1813024.09972945337025.90027054662983
1823929.77276481992479.22723518007533
1834536.09656276732718.90343723267287
1845238.59429552913113.405704470869
1852837.0193499770225-9.0193499770225
1864039.7259706267460.274029373253995
1876224.136081904907337.8639180950927







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
18823.88992274314200.87310061744283446.9067448688411
18950.128835996364124.862307115082275.395364877646
19053.555231892944827.223318099096179.8871456867935
19160.824189369473532.689824388298888.9585543506482
19284.854667995630651.213170684509118.496165306752
19330.90530357959616.0116467050683455.7989604541238
19438.477802392322711.664828830432265.2907759542131
19544.528098469843515.595566727953673.4606302117334
19648.417204210580417.564332034153579.2700763870073
19735.29830842778687.2769678611168563.3196489944568
19843.959048494979212.411561778699575.5065352112588
19941.9343190305836-47.6216166954913131.490254756658

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
188 & 23.8899227431420 & 0.873100617442834 & 46.9067448688411 \tabularnewline
189 & 50.1288359963641 & 24.8623071150822 & 75.395364877646 \tabularnewline
190 & 53.5552318929448 & 27.2233180990961 & 79.8871456867935 \tabularnewline
191 & 60.8241893694735 & 32.6898243882988 & 88.9585543506482 \tabularnewline
192 & 84.8546679956306 & 51.213170684509 & 118.496165306752 \tabularnewline
193 & 30.9053035795961 & 6.01164670506834 & 55.7989604541238 \tabularnewline
194 & 38.4778023923227 & 11.6648288304322 & 65.2907759542131 \tabularnewline
195 & 44.5280984698435 & 15.5955667279536 & 73.4606302117334 \tabularnewline
196 & 48.4172042105804 & 17.5643320341535 & 79.2700763870073 \tabularnewline
197 & 35.2983084277868 & 7.27696786111685 & 63.3196489944568 \tabularnewline
198 & 43.9590484949792 & 12.4115617786995 & 75.5065352112588 \tabularnewline
199 & 41.9343190305836 & -47.6216166954913 & 131.490254756658 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41479&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]188[/C][C]23.8899227431420[/C][C]0.873100617442834[/C][C]46.9067448688411[/C][/ROW]
[ROW][C]189[/C][C]50.1288359963641[/C][C]24.8623071150822[/C][C]75.395364877646[/C][/ROW]
[ROW][C]190[/C][C]53.5552318929448[/C][C]27.2233180990961[/C][C]79.8871456867935[/C][/ROW]
[ROW][C]191[/C][C]60.8241893694735[/C][C]32.6898243882988[/C][C]88.9585543506482[/C][/ROW]
[ROW][C]192[/C][C]84.8546679956306[/C][C]51.213170684509[/C][C]118.496165306752[/C][/ROW]
[ROW][C]193[/C][C]30.9053035795961[/C][C]6.01164670506834[/C][C]55.7989604541238[/C][/ROW]
[ROW][C]194[/C][C]38.4778023923227[/C][C]11.6648288304322[/C][C]65.2907759542131[/C][/ROW]
[ROW][C]195[/C][C]44.5280984698435[/C][C]15.5955667279536[/C][C]73.4606302117334[/C][/ROW]
[ROW][C]196[/C][C]48.4172042105804[/C][C]17.5643320341535[/C][C]79.2700763870073[/C][/ROW]
[ROW][C]197[/C][C]35.2983084277868[/C][C]7.27696786111685[/C][C]63.3196489944568[/C][/ROW]
[ROW][C]198[/C][C]43.9590484949792[/C][C]12.4115617786995[/C][C]75.5065352112588[/C][/ROW]
[ROW][C]199[/C][C]41.9343190305836[/C][C]-47.6216166954913[/C][C]131.490254756658[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41479&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41479&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
18823.88992274314200.87310061744283446.9067448688411
18950.128835996364124.862307115082275.395364877646
19053.555231892944827.223318099096179.8871456867935
19160.824189369473532.689824388298888.9585543506482
19284.854667995630651.213170684509118.496165306752
19330.90530357959616.0116467050683455.7989604541238
19438.477802392322711.664828830432265.2907759542131
19544.528098469843515.595566727953673.4606302117334
19648.417204210580417.564332034153579.2700763870073
19735.29830842778687.2769678611168563.3196489944568
19843.959048494979212.411561778699575.5065352112588
19941.9343190305836-47.6216166954913131.490254756658



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')