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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 23 Nov 2012 08:45:04 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/23/t13536783220s1ft1qyhw3cfe2.htm/, Retrieved Wed, 01 May 2024 15:26:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=192080, Retrieved Wed, 01 May 2024 15:26:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:43:04] [74be16979710d4c4e7c6647856088456]
- RMPD  [Exponential Smoothing] [WS8 Single Moving...] [2012-11-23 13:33:50] [3e2c7966ca4198d187b4c59e4eb5d004]
- R         [Exponential Smoothing] [WS8 Double Moving...] [2012-11-23 13:45:04] [7ac586d7aaad1f98cbd1d1bd98b37cf0] [Current]
-             [Exponential Smoothing] [WS8 Triple Moving...] [2012-11-23 14:03:46] [3e2c7966ca4198d187b4c59e4eb5d004]
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Dataseries X:
116
111
104
100
93
91
119
139
134
124
113
109
109
106
101
98
93
91
122
139
140
132
117
114
113
110
107
103
98
98
137
148
147
139
130
128
127
123
118
114
108
111
151
159
158
148
138
137
136
133
126
120
114
116
153
162
161
149
139
135
130
127
122
117
112
113
149
157
157
147
137
132
125
123
117
114
111
112
144
150
149
134
123
116
117
111
105
102
95
93
124
130
124
115
106
105
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137
135
124
118
121
121
118
113
107
100
102
130
136
133
120
112
109
110
106
102
98
92
92
120
127
124
114
108
106
111
110
104
100
96
98
122
134
133




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192080&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192080&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192080&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 time4 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0280206527746909
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0280206527746909 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192080&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]1[/C][/ROW]
[ROW][C]beta[/C][C]0.0280206527746909[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192080&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192080&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0280206527746909
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3104106-2
410098.94395869445061.05604130554939
59394.9735496611892-1.97354966118915
69187.91824951139943.08175048860065
711986.004602171778732.9953978282213
8139114.92915475748624.0708452425139
9134135.60363555402-1.60363555401986
10124130.558700638984-6.55870063898351
11113120.374921565725-7.37492156572542
12109109.168271449292-0.168271449291652
13109105.1635563734393.83644362656085
14106105.2710560281890.728943971811319
15101102.291481514115-1.29148151411502
169897.25529335904310.744706640956935
179394.2761605252483-1.27616052524833
189189.24040167428561.75959832571442
1912287.289706767993434.7102932320066
20139119.26231184235519.7376881576449
21140136.8153747487963.18462525120438
22132137.904610027177-5.90461002717711
23117129.739158999836-12.7391589998356
24114114.38219944886-0.382199448859652
25113111.3714899708121.62851002918752
26110110.41712188488-0.417121884880444
27107107.405433857379-0.405433857379492
28103104.394073336039-1.39407333603876
2998100.355010491147-2.35501049114715
309895.2890215598942.71097844010603
3113795.364984945443941.6350150545561
32148135.53162524555712.4683747544434
33147146.8809972452160.119002754784418
34139145.884331780087-6.88433178008663
35130137.691428309691-7.69142830969105
36128128.475909467684-0.475909467683778
37127126.4625741737380.537425826262393
38123125.477633196207-2.47763319620746
39118121.408208296713-3.40820829671348
40114116.312708075447-2.31270807544746
41108112.247904485496-4.24790448549612
42111106.1288754288884.87112457111202
43151109.26536751911741.7346324808826
44159150.4347991645448.56520083545647
45158158.674801683099-0.674801683099332
46148157.655893299445-9.65589329944544
47138147.385328866072-9.38532886607223
48137137.12234582474-0.12234582473971
49136136.118917614866-0.118917614866263
50133135.115585465671-2.1155854656713
51126132.056305379923-6.05630537992255
52120124.886603749774-4.88660374977424
53114118.749677922854-4.7496779228543
54116112.6165888469863.38341115301361
55153114.71139423609938.288605763901
56162152.7842659634369.2157340365637
57161162.042496846939-1.04249684693875
58149161.013285404772-12.013285404772
59139148.676665305762-9.67666530576159
60135138.405518827212-3.40551882721195
61130134.310093966637-4.31009396663697
62127129.189322320172-2.18932232017156
63122126.127976079626-4.12797607962614
64117121.012307495237-4.01230749523671
65112115.899880020087-3.89988002008739
66113110.7906028361822.20939716381844
67149111.8525115869537.1474884130497
68157148.8934084612248.10659153877577
69157157.120560447919-0.120560447918507
70147157.117182265469-10.117182265469
71137146.83369221415-9.83369221415006
72132136.558145739124-4.55814573912417
73125131.430423520072-6.43042352007174
74123124.250238855422-1.2502388554216
75117122.215206346568-5.21520634656841
76114116.069072860383-2.06907286038285
77111113.011096088197-2.01109608819652
78112109.9547438630132.04525613698736
79144111.01205327506232.9879467249375
80150143.9363970759926.06360292400805
81149150.106303188089-1.10630318808916
82134149.075303850592-15.0753038505922
83123133.652883995922-10.6528839959218
84116122.354383232423-6.354383232423
85117115.176329266271.82367073373004
86111116.227429710675-5.22742971067517
87105110.080953717848-5.08095371784825
88102103.938582077956-1.93858207795614
8995100.884261742674-5.8842617426745
909393.7193808875476-0.719380887547615
9112491.699223365484932.3007766345151
92130123.6043122119136.39568778808651
93124129.783523558679-5.78352355867878
94115123.621465453227-8.6214654532268
95106114.379886363353-8.37988636335295
96105105.145076477274-0.14507647727406
97105104.1410113396790.858988660321401
98101104.165080762667-3.16508076266686
9995100.076393133612-5.07639313361231
1009393.9341492842675-0.934149284267534
1018491.9079738115334-7.90797381153335
1028782.6863872232094.31361277679098
10311685.80725746903230.192742530968
104120115.6532778238084.34672217619215
105117119.775075816615-2.77507581661499
106109116.697316380734-7.69731638073418
107105108.481632551133-3.48163255113268
108107104.3840749343282.61592506567168
109109106.4573748622782.54262513772187
110109108.5286208783980.471379121601572
111108108.54182922909-0.541829229090069
112107107.526646820399-0.526646820398554
11399106.511889832709-7.51188983270927
11410398.30140177602524.6985982239748
115131102.43305956538728.566940434613
116137131.2335238841415.76647611585946
117135137.395104309117-2.39510430911659
118124135.327991922912-11.3279919229117
119118124.010574194605-6.01057419460525
120121117.8421539821223.1578460178783
121121120.9306388889050.0693611110953896
122118120.932582432515-2.93258243251468
123113117.85040955844-4.85040955844003
124107112.714497916388-5.71449791638794
125100106.554373954491-6.55437395449114
12610299.37071611775692.62928388224313
127130101.44439036846728.5556096315327
128136130.2445371907225.7554628092779
129133136.405809015659-3.40580901565852
130120133.310376023814-13.3103760238138
131112119.93741059895-7.93741059894998
132109111.714999172627-2.71499917262665
133110108.6389231235271.36107687647309
134106109.677061386082-3.67706138608222
135102105.574027725752-3.57402772575158
13698101.473881135841-3.47388113584118
1379297.3765407187532-5.37654071875322
1389291.22588653814410.774113461855947
13912091.247577702666928.7524222973331
140127120.0532393442926.94676065570822
141124127.247892112534-3.24789211253427
142114124.156884055399-10.1568840553993
143108113.87228153401-5.87228153401016
144106107.70773637215-1.70773637215042
145111105.6598844842365.34011551576431
146110110.80951800688-0.809518006879657
147104109.786834783894-5.78683478389402
148100103.62468389575-3.62468389575002
1499699.5231178868892-3.5231178868892
1509895.42439782389642.57560217610363
15112297.496567878158724.5034321218413
152134122.18317004143311.816829958567
153133134.5142853306-1.51428533059959

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 104 & 106 & -2 \tabularnewline
4 & 100 & 98.9439586944506 & 1.05604130554939 \tabularnewline
5 & 93 & 94.9735496611892 & -1.97354966118915 \tabularnewline
6 & 91 & 87.9182495113994 & 3.08175048860065 \tabularnewline
7 & 119 & 86.0046021717787 & 32.9953978282213 \tabularnewline
8 & 139 & 114.929154757486 & 24.0708452425139 \tabularnewline
9 & 134 & 135.60363555402 & -1.60363555401986 \tabularnewline
10 & 124 & 130.558700638984 & -6.55870063898351 \tabularnewline
11 & 113 & 120.374921565725 & -7.37492156572542 \tabularnewline
12 & 109 & 109.168271449292 & -0.168271449291652 \tabularnewline
13 & 109 & 105.163556373439 & 3.83644362656085 \tabularnewline
14 & 106 & 105.271056028189 & 0.728943971811319 \tabularnewline
15 & 101 & 102.291481514115 & -1.29148151411502 \tabularnewline
16 & 98 & 97.2552933590431 & 0.744706640956935 \tabularnewline
17 & 93 & 94.2761605252483 & -1.27616052524833 \tabularnewline
18 & 91 & 89.2404016742856 & 1.75959832571442 \tabularnewline
19 & 122 & 87.2897067679934 & 34.7102932320066 \tabularnewline
20 & 139 & 119.262311842355 & 19.7376881576449 \tabularnewline
21 & 140 & 136.815374748796 & 3.18462525120438 \tabularnewline
22 & 132 & 137.904610027177 & -5.90461002717711 \tabularnewline
23 & 117 & 129.739158999836 & -12.7391589998356 \tabularnewline
24 & 114 & 114.38219944886 & -0.382199448859652 \tabularnewline
25 & 113 & 111.371489970812 & 1.62851002918752 \tabularnewline
26 & 110 & 110.41712188488 & -0.417121884880444 \tabularnewline
27 & 107 & 107.405433857379 & -0.405433857379492 \tabularnewline
28 & 103 & 104.394073336039 & -1.39407333603876 \tabularnewline
29 & 98 & 100.355010491147 & -2.35501049114715 \tabularnewline
30 & 98 & 95.289021559894 & 2.71097844010603 \tabularnewline
31 & 137 & 95.3649849454439 & 41.6350150545561 \tabularnewline
32 & 148 & 135.531625245557 & 12.4683747544434 \tabularnewline
33 & 147 & 146.880997245216 & 0.119002754784418 \tabularnewline
34 & 139 & 145.884331780087 & -6.88433178008663 \tabularnewline
35 & 130 & 137.691428309691 & -7.69142830969105 \tabularnewline
36 & 128 & 128.475909467684 & -0.475909467683778 \tabularnewline
37 & 127 & 126.462574173738 & 0.537425826262393 \tabularnewline
38 & 123 & 125.477633196207 & -2.47763319620746 \tabularnewline
39 & 118 & 121.408208296713 & -3.40820829671348 \tabularnewline
40 & 114 & 116.312708075447 & -2.31270807544746 \tabularnewline
41 & 108 & 112.247904485496 & -4.24790448549612 \tabularnewline
42 & 111 & 106.128875428888 & 4.87112457111202 \tabularnewline
43 & 151 & 109.265367519117 & 41.7346324808826 \tabularnewline
44 & 159 & 150.434799164544 & 8.56520083545647 \tabularnewline
45 & 158 & 158.674801683099 & -0.674801683099332 \tabularnewline
46 & 148 & 157.655893299445 & -9.65589329944544 \tabularnewline
47 & 138 & 147.385328866072 & -9.38532886607223 \tabularnewline
48 & 137 & 137.12234582474 & -0.12234582473971 \tabularnewline
49 & 136 & 136.118917614866 & -0.118917614866263 \tabularnewline
50 & 133 & 135.115585465671 & -2.1155854656713 \tabularnewline
51 & 126 & 132.056305379923 & -6.05630537992255 \tabularnewline
52 & 120 & 124.886603749774 & -4.88660374977424 \tabularnewline
53 & 114 & 118.749677922854 & -4.7496779228543 \tabularnewline
54 & 116 & 112.616588846986 & 3.38341115301361 \tabularnewline
55 & 153 & 114.711394236099 & 38.288605763901 \tabularnewline
56 & 162 & 152.784265963436 & 9.2157340365637 \tabularnewline
57 & 161 & 162.042496846939 & -1.04249684693875 \tabularnewline
58 & 149 & 161.013285404772 & -12.013285404772 \tabularnewline
59 & 139 & 148.676665305762 & -9.67666530576159 \tabularnewline
60 & 135 & 138.405518827212 & -3.40551882721195 \tabularnewline
61 & 130 & 134.310093966637 & -4.31009396663697 \tabularnewline
62 & 127 & 129.189322320172 & -2.18932232017156 \tabularnewline
63 & 122 & 126.127976079626 & -4.12797607962614 \tabularnewline
64 & 117 & 121.012307495237 & -4.01230749523671 \tabularnewline
65 & 112 & 115.899880020087 & -3.89988002008739 \tabularnewline
66 & 113 & 110.790602836182 & 2.20939716381844 \tabularnewline
67 & 149 & 111.85251158695 & 37.1474884130497 \tabularnewline
68 & 157 & 148.893408461224 & 8.10659153877577 \tabularnewline
69 & 157 & 157.120560447919 & -0.120560447918507 \tabularnewline
70 & 147 & 157.117182265469 & -10.117182265469 \tabularnewline
71 & 137 & 146.83369221415 & -9.83369221415006 \tabularnewline
72 & 132 & 136.558145739124 & -4.55814573912417 \tabularnewline
73 & 125 & 131.430423520072 & -6.43042352007174 \tabularnewline
74 & 123 & 124.250238855422 & -1.2502388554216 \tabularnewline
75 & 117 & 122.215206346568 & -5.21520634656841 \tabularnewline
76 & 114 & 116.069072860383 & -2.06907286038285 \tabularnewline
77 & 111 & 113.011096088197 & -2.01109608819652 \tabularnewline
78 & 112 & 109.954743863013 & 2.04525613698736 \tabularnewline
79 & 144 & 111.012053275062 & 32.9879467249375 \tabularnewline
80 & 150 & 143.936397075992 & 6.06360292400805 \tabularnewline
81 & 149 & 150.106303188089 & -1.10630318808916 \tabularnewline
82 & 134 & 149.075303850592 & -15.0753038505922 \tabularnewline
83 & 123 & 133.652883995922 & -10.6528839959218 \tabularnewline
84 & 116 & 122.354383232423 & -6.354383232423 \tabularnewline
85 & 117 & 115.17632926627 & 1.82367073373004 \tabularnewline
86 & 111 & 116.227429710675 & -5.22742971067517 \tabularnewline
87 & 105 & 110.080953717848 & -5.08095371784825 \tabularnewline
88 & 102 & 103.938582077956 & -1.93858207795614 \tabularnewline
89 & 95 & 100.884261742674 & -5.8842617426745 \tabularnewline
90 & 93 & 93.7193808875476 & -0.719380887547615 \tabularnewline
91 & 124 & 91.6992233654849 & 32.3007766345151 \tabularnewline
92 & 130 & 123.604312211913 & 6.39568778808651 \tabularnewline
93 & 124 & 129.783523558679 & -5.78352355867878 \tabularnewline
94 & 115 & 123.621465453227 & -8.6214654532268 \tabularnewline
95 & 106 & 114.379886363353 & -8.37988636335295 \tabularnewline
96 & 105 & 105.145076477274 & -0.14507647727406 \tabularnewline
97 & 105 & 104.141011339679 & 0.858988660321401 \tabularnewline
98 & 101 & 104.165080762667 & -3.16508076266686 \tabularnewline
99 & 95 & 100.076393133612 & -5.07639313361231 \tabularnewline
100 & 93 & 93.9341492842675 & -0.934149284267534 \tabularnewline
101 & 84 & 91.9079738115334 & -7.90797381153335 \tabularnewline
102 & 87 & 82.686387223209 & 4.31361277679098 \tabularnewline
103 & 116 & 85.807257469032 & 30.192742530968 \tabularnewline
104 & 120 & 115.653277823808 & 4.34672217619215 \tabularnewline
105 & 117 & 119.775075816615 & -2.77507581661499 \tabularnewline
106 & 109 & 116.697316380734 & -7.69731638073418 \tabularnewline
107 & 105 & 108.481632551133 & -3.48163255113268 \tabularnewline
108 & 107 & 104.384074934328 & 2.61592506567168 \tabularnewline
109 & 109 & 106.457374862278 & 2.54262513772187 \tabularnewline
110 & 109 & 108.528620878398 & 0.471379121601572 \tabularnewline
111 & 108 & 108.54182922909 & -0.541829229090069 \tabularnewline
112 & 107 & 107.526646820399 & -0.526646820398554 \tabularnewline
113 & 99 & 106.511889832709 & -7.51188983270927 \tabularnewline
114 & 103 & 98.3014017760252 & 4.6985982239748 \tabularnewline
115 & 131 & 102.433059565387 & 28.566940434613 \tabularnewline
116 & 137 & 131.233523884141 & 5.76647611585946 \tabularnewline
117 & 135 & 137.395104309117 & -2.39510430911659 \tabularnewline
118 & 124 & 135.327991922912 & -11.3279919229117 \tabularnewline
119 & 118 & 124.010574194605 & -6.01057419460525 \tabularnewline
120 & 121 & 117.842153982122 & 3.1578460178783 \tabularnewline
121 & 121 & 120.930638888905 & 0.0693611110953896 \tabularnewline
122 & 118 & 120.932582432515 & -2.93258243251468 \tabularnewline
123 & 113 & 117.85040955844 & -4.85040955844003 \tabularnewline
124 & 107 & 112.714497916388 & -5.71449791638794 \tabularnewline
125 & 100 & 106.554373954491 & -6.55437395449114 \tabularnewline
126 & 102 & 99.3707161177569 & 2.62928388224313 \tabularnewline
127 & 130 & 101.444390368467 & 28.5556096315327 \tabularnewline
128 & 136 & 130.244537190722 & 5.7554628092779 \tabularnewline
129 & 133 & 136.405809015659 & -3.40580901565852 \tabularnewline
130 & 120 & 133.310376023814 & -13.3103760238138 \tabularnewline
131 & 112 & 119.93741059895 & -7.93741059894998 \tabularnewline
132 & 109 & 111.714999172627 & -2.71499917262665 \tabularnewline
133 & 110 & 108.638923123527 & 1.36107687647309 \tabularnewline
134 & 106 & 109.677061386082 & -3.67706138608222 \tabularnewline
135 & 102 & 105.574027725752 & -3.57402772575158 \tabularnewline
136 & 98 & 101.473881135841 & -3.47388113584118 \tabularnewline
137 & 92 & 97.3765407187532 & -5.37654071875322 \tabularnewline
138 & 92 & 91.2258865381441 & 0.774113461855947 \tabularnewline
139 & 120 & 91.2475777026669 & 28.7524222973331 \tabularnewline
140 & 127 & 120.053239344292 & 6.94676065570822 \tabularnewline
141 & 124 & 127.247892112534 & -3.24789211253427 \tabularnewline
142 & 114 & 124.156884055399 & -10.1568840553993 \tabularnewline
143 & 108 & 113.87228153401 & -5.87228153401016 \tabularnewline
144 & 106 & 107.70773637215 & -1.70773637215042 \tabularnewline
145 & 111 & 105.659884484236 & 5.34011551576431 \tabularnewline
146 & 110 & 110.80951800688 & -0.809518006879657 \tabularnewline
147 & 104 & 109.786834783894 & -5.78683478389402 \tabularnewline
148 & 100 & 103.62468389575 & -3.62468389575002 \tabularnewline
149 & 96 & 99.5231178868892 & -3.5231178868892 \tabularnewline
150 & 98 & 95.4243978238964 & 2.57560217610363 \tabularnewline
151 & 122 & 97.4965678781587 & 24.5034321218413 \tabularnewline
152 & 134 & 122.183170041433 & 11.816829958567 \tabularnewline
153 & 133 & 134.5142853306 & -1.51428533059959 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192080&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]104[/C][C]106[/C][C]-2[/C][/ROW]
[ROW][C]4[/C][C]100[/C][C]98.9439586944506[/C][C]1.05604130554939[/C][/ROW]
[ROW][C]5[/C][C]93[/C][C]94.9735496611892[/C][C]-1.97354966118915[/C][/ROW]
[ROW][C]6[/C][C]91[/C][C]87.9182495113994[/C][C]3.08175048860065[/C][/ROW]
[ROW][C]7[/C][C]119[/C][C]86.0046021717787[/C][C]32.9953978282213[/C][/ROW]
[ROW][C]8[/C][C]139[/C][C]114.929154757486[/C][C]24.0708452425139[/C][/ROW]
[ROW][C]9[/C][C]134[/C][C]135.60363555402[/C][C]-1.60363555401986[/C][/ROW]
[ROW][C]10[/C][C]124[/C][C]130.558700638984[/C][C]-6.55870063898351[/C][/ROW]
[ROW][C]11[/C][C]113[/C][C]120.374921565725[/C][C]-7.37492156572542[/C][/ROW]
[ROW][C]12[/C][C]109[/C][C]109.168271449292[/C][C]-0.168271449291652[/C][/ROW]
[ROW][C]13[/C][C]109[/C][C]105.163556373439[/C][C]3.83644362656085[/C][/ROW]
[ROW][C]14[/C][C]106[/C][C]105.271056028189[/C][C]0.728943971811319[/C][/ROW]
[ROW][C]15[/C][C]101[/C][C]102.291481514115[/C][C]-1.29148151411502[/C][/ROW]
[ROW][C]16[/C][C]98[/C][C]97.2552933590431[/C][C]0.744706640956935[/C][/ROW]
[ROW][C]17[/C][C]93[/C][C]94.2761605252483[/C][C]-1.27616052524833[/C][/ROW]
[ROW][C]18[/C][C]91[/C][C]89.2404016742856[/C][C]1.75959832571442[/C][/ROW]
[ROW][C]19[/C][C]122[/C][C]87.2897067679934[/C][C]34.7102932320066[/C][/ROW]
[ROW][C]20[/C][C]139[/C][C]119.262311842355[/C][C]19.7376881576449[/C][/ROW]
[ROW][C]21[/C][C]140[/C][C]136.815374748796[/C][C]3.18462525120438[/C][/ROW]
[ROW][C]22[/C][C]132[/C][C]137.904610027177[/C][C]-5.90461002717711[/C][/ROW]
[ROW][C]23[/C][C]117[/C][C]129.739158999836[/C][C]-12.7391589998356[/C][/ROW]
[ROW][C]24[/C][C]114[/C][C]114.38219944886[/C][C]-0.382199448859652[/C][/ROW]
[ROW][C]25[/C][C]113[/C][C]111.371489970812[/C][C]1.62851002918752[/C][/ROW]
[ROW][C]26[/C][C]110[/C][C]110.41712188488[/C][C]-0.417121884880444[/C][/ROW]
[ROW][C]27[/C][C]107[/C][C]107.405433857379[/C][C]-0.405433857379492[/C][/ROW]
[ROW][C]28[/C][C]103[/C][C]104.394073336039[/C][C]-1.39407333603876[/C][/ROW]
[ROW][C]29[/C][C]98[/C][C]100.355010491147[/C][C]-2.35501049114715[/C][/ROW]
[ROW][C]30[/C][C]98[/C][C]95.289021559894[/C][C]2.71097844010603[/C][/ROW]
[ROW][C]31[/C][C]137[/C][C]95.3649849454439[/C][C]41.6350150545561[/C][/ROW]
[ROW][C]32[/C][C]148[/C][C]135.531625245557[/C][C]12.4683747544434[/C][/ROW]
[ROW][C]33[/C][C]147[/C][C]146.880997245216[/C][C]0.119002754784418[/C][/ROW]
[ROW][C]34[/C][C]139[/C][C]145.884331780087[/C][C]-6.88433178008663[/C][/ROW]
[ROW][C]35[/C][C]130[/C][C]137.691428309691[/C][C]-7.69142830969105[/C][/ROW]
[ROW][C]36[/C][C]128[/C][C]128.475909467684[/C][C]-0.475909467683778[/C][/ROW]
[ROW][C]37[/C][C]127[/C][C]126.462574173738[/C][C]0.537425826262393[/C][/ROW]
[ROW][C]38[/C][C]123[/C][C]125.477633196207[/C][C]-2.47763319620746[/C][/ROW]
[ROW][C]39[/C][C]118[/C][C]121.408208296713[/C][C]-3.40820829671348[/C][/ROW]
[ROW][C]40[/C][C]114[/C][C]116.312708075447[/C][C]-2.31270807544746[/C][/ROW]
[ROW][C]41[/C][C]108[/C][C]112.247904485496[/C][C]-4.24790448549612[/C][/ROW]
[ROW][C]42[/C][C]111[/C][C]106.128875428888[/C][C]4.87112457111202[/C][/ROW]
[ROW][C]43[/C][C]151[/C][C]109.265367519117[/C][C]41.7346324808826[/C][/ROW]
[ROW][C]44[/C][C]159[/C][C]150.434799164544[/C][C]8.56520083545647[/C][/ROW]
[ROW][C]45[/C][C]158[/C][C]158.674801683099[/C][C]-0.674801683099332[/C][/ROW]
[ROW][C]46[/C][C]148[/C][C]157.655893299445[/C][C]-9.65589329944544[/C][/ROW]
[ROW][C]47[/C][C]138[/C][C]147.385328866072[/C][C]-9.38532886607223[/C][/ROW]
[ROW][C]48[/C][C]137[/C][C]137.12234582474[/C][C]-0.12234582473971[/C][/ROW]
[ROW][C]49[/C][C]136[/C][C]136.118917614866[/C][C]-0.118917614866263[/C][/ROW]
[ROW][C]50[/C][C]133[/C][C]135.115585465671[/C][C]-2.1155854656713[/C][/ROW]
[ROW][C]51[/C][C]126[/C][C]132.056305379923[/C][C]-6.05630537992255[/C][/ROW]
[ROW][C]52[/C][C]120[/C][C]124.886603749774[/C][C]-4.88660374977424[/C][/ROW]
[ROW][C]53[/C][C]114[/C][C]118.749677922854[/C][C]-4.7496779228543[/C][/ROW]
[ROW][C]54[/C][C]116[/C][C]112.616588846986[/C][C]3.38341115301361[/C][/ROW]
[ROW][C]55[/C][C]153[/C][C]114.711394236099[/C][C]38.288605763901[/C][/ROW]
[ROW][C]56[/C][C]162[/C][C]152.784265963436[/C][C]9.2157340365637[/C][/ROW]
[ROW][C]57[/C][C]161[/C][C]162.042496846939[/C][C]-1.04249684693875[/C][/ROW]
[ROW][C]58[/C][C]149[/C][C]161.013285404772[/C][C]-12.013285404772[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]148.676665305762[/C][C]-9.67666530576159[/C][/ROW]
[ROW][C]60[/C][C]135[/C][C]138.405518827212[/C][C]-3.40551882721195[/C][/ROW]
[ROW][C]61[/C][C]130[/C][C]134.310093966637[/C][C]-4.31009396663697[/C][/ROW]
[ROW][C]62[/C][C]127[/C][C]129.189322320172[/C][C]-2.18932232017156[/C][/ROW]
[ROW][C]63[/C][C]122[/C][C]126.127976079626[/C][C]-4.12797607962614[/C][/ROW]
[ROW][C]64[/C][C]117[/C][C]121.012307495237[/C][C]-4.01230749523671[/C][/ROW]
[ROW][C]65[/C][C]112[/C][C]115.899880020087[/C][C]-3.89988002008739[/C][/ROW]
[ROW][C]66[/C][C]113[/C][C]110.790602836182[/C][C]2.20939716381844[/C][/ROW]
[ROW][C]67[/C][C]149[/C][C]111.85251158695[/C][C]37.1474884130497[/C][/ROW]
[ROW][C]68[/C][C]157[/C][C]148.893408461224[/C][C]8.10659153877577[/C][/ROW]
[ROW][C]69[/C][C]157[/C][C]157.120560447919[/C][C]-0.120560447918507[/C][/ROW]
[ROW][C]70[/C][C]147[/C][C]157.117182265469[/C][C]-10.117182265469[/C][/ROW]
[ROW][C]71[/C][C]137[/C][C]146.83369221415[/C][C]-9.83369221415006[/C][/ROW]
[ROW][C]72[/C][C]132[/C][C]136.558145739124[/C][C]-4.55814573912417[/C][/ROW]
[ROW][C]73[/C][C]125[/C][C]131.430423520072[/C][C]-6.43042352007174[/C][/ROW]
[ROW][C]74[/C][C]123[/C][C]124.250238855422[/C][C]-1.2502388554216[/C][/ROW]
[ROW][C]75[/C][C]117[/C][C]122.215206346568[/C][C]-5.21520634656841[/C][/ROW]
[ROW][C]76[/C][C]114[/C][C]116.069072860383[/C][C]-2.06907286038285[/C][/ROW]
[ROW][C]77[/C][C]111[/C][C]113.011096088197[/C][C]-2.01109608819652[/C][/ROW]
[ROW][C]78[/C][C]112[/C][C]109.954743863013[/C][C]2.04525613698736[/C][/ROW]
[ROW][C]79[/C][C]144[/C][C]111.012053275062[/C][C]32.9879467249375[/C][/ROW]
[ROW][C]80[/C][C]150[/C][C]143.936397075992[/C][C]6.06360292400805[/C][/ROW]
[ROW][C]81[/C][C]149[/C][C]150.106303188089[/C][C]-1.10630318808916[/C][/ROW]
[ROW][C]82[/C][C]134[/C][C]149.075303850592[/C][C]-15.0753038505922[/C][/ROW]
[ROW][C]83[/C][C]123[/C][C]133.652883995922[/C][C]-10.6528839959218[/C][/ROW]
[ROW][C]84[/C][C]116[/C][C]122.354383232423[/C][C]-6.354383232423[/C][/ROW]
[ROW][C]85[/C][C]117[/C][C]115.17632926627[/C][C]1.82367073373004[/C][/ROW]
[ROW][C]86[/C][C]111[/C][C]116.227429710675[/C][C]-5.22742971067517[/C][/ROW]
[ROW][C]87[/C][C]105[/C][C]110.080953717848[/C][C]-5.08095371784825[/C][/ROW]
[ROW][C]88[/C][C]102[/C][C]103.938582077956[/C][C]-1.93858207795614[/C][/ROW]
[ROW][C]89[/C][C]95[/C][C]100.884261742674[/C][C]-5.8842617426745[/C][/ROW]
[ROW][C]90[/C][C]93[/C][C]93.7193808875476[/C][C]-0.719380887547615[/C][/ROW]
[ROW][C]91[/C][C]124[/C][C]91.6992233654849[/C][C]32.3007766345151[/C][/ROW]
[ROW][C]92[/C][C]130[/C][C]123.604312211913[/C][C]6.39568778808651[/C][/ROW]
[ROW][C]93[/C][C]124[/C][C]129.783523558679[/C][C]-5.78352355867878[/C][/ROW]
[ROW][C]94[/C][C]115[/C][C]123.621465453227[/C][C]-8.6214654532268[/C][/ROW]
[ROW][C]95[/C][C]106[/C][C]114.379886363353[/C][C]-8.37988636335295[/C][/ROW]
[ROW][C]96[/C][C]105[/C][C]105.145076477274[/C][C]-0.14507647727406[/C][/ROW]
[ROW][C]97[/C][C]105[/C][C]104.141011339679[/C][C]0.858988660321401[/C][/ROW]
[ROW][C]98[/C][C]101[/C][C]104.165080762667[/C][C]-3.16508076266686[/C][/ROW]
[ROW][C]99[/C][C]95[/C][C]100.076393133612[/C][C]-5.07639313361231[/C][/ROW]
[ROW][C]100[/C][C]93[/C][C]93.9341492842675[/C][C]-0.934149284267534[/C][/ROW]
[ROW][C]101[/C][C]84[/C][C]91.9079738115334[/C][C]-7.90797381153335[/C][/ROW]
[ROW][C]102[/C][C]87[/C][C]82.686387223209[/C][C]4.31361277679098[/C][/ROW]
[ROW][C]103[/C][C]116[/C][C]85.807257469032[/C][C]30.192742530968[/C][/ROW]
[ROW][C]104[/C][C]120[/C][C]115.653277823808[/C][C]4.34672217619215[/C][/ROW]
[ROW][C]105[/C][C]117[/C][C]119.775075816615[/C][C]-2.77507581661499[/C][/ROW]
[ROW][C]106[/C][C]109[/C][C]116.697316380734[/C][C]-7.69731638073418[/C][/ROW]
[ROW][C]107[/C][C]105[/C][C]108.481632551133[/C][C]-3.48163255113268[/C][/ROW]
[ROW][C]108[/C][C]107[/C][C]104.384074934328[/C][C]2.61592506567168[/C][/ROW]
[ROW][C]109[/C][C]109[/C][C]106.457374862278[/C][C]2.54262513772187[/C][/ROW]
[ROW][C]110[/C][C]109[/C][C]108.528620878398[/C][C]0.471379121601572[/C][/ROW]
[ROW][C]111[/C][C]108[/C][C]108.54182922909[/C][C]-0.541829229090069[/C][/ROW]
[ROW][C]112[/C][C]107[/C][C]107.526646820399[/C][C]-0.526646820398554[/C][/ROW]
[ROW][C]113[/C][C]99[/C][C]106.511889832709[/C][C]-7.51188983270927[/C][/ROW]
[ROW][C]114[/C][C]103[/C][C]98.3014017760252[/C][C]4.6985982239748[/C][/ROW]
[ROW][C]115[/C][C]131[/C][C]102.433059565387[/C][C]28.566940434613[/C][/ROW]
[ROW][C]116[/C][C]137[/C][C]131.233523884141[/C][C]5.76647611585946[/C][/ROW]
[ROW][C]117[/C][C]135[/C][C]137.395104309117[/C][C]-2.39510430911659[/C][/ROW]
[ROW][C]118[/C][C]124[/C][C]135.327991922912[/C][C]-11.3279919229117[/C][/ROW]
[ROW][C]119[/C][C]118[/C][C]124.010574194605[/C][C]-6.01057419460525[/C][/ROW]
[ROW][C]120[/C][C]121[/C][C]117.842153982122[/C][C]3.1578460178783[/C][/ROW]
[ROW][C]121[/C][C]121[/C][C]120.930638888905[/C][C]0.0693611110953896[/C][/ROW]
[ROW][C]122[/C][C]118[/C][C]120.932582432515[/C][C]-2.93258243251468[/C][/ROW]
[ROW][C]123[/C][C]113[/C][C]117.85040955844[/C][C]-4.85040955844003[/C][/ROW]
[ROW][C]124[/C][C]107[/C][C]112.714497916388[/C][C]-5.71449791638794[/C][/ROW]
[ROW][C]125[/C][C]100[/C][C]106.554373954491[/C][C]-6.55437395449114[/C][/ROW]
[ROW][C]126[/C][C]102[/C][C]99.3707161177569[/C][C]2.62928388224313[/C][/ROW]
[ROW][C]127[/C][C]130[/C][C]101.444390368467[/C][C]28.5556096315327[/C][/ROW]
[ROW][C]128[/C][C]136[/C][C]130.244537190722[/C][C]5.7554628092779[/C][/ROW]
[ROW][C]129[/C][C]133[/C][C]136.405809015659[/C][C]-3.40580901565852[/C][/ROW]
[ROW][C]130[/C][C]120[/C][C]133.310376023814[/C][C]-13.3103760238138[/C][/ROW]
[ROW][C]131[/C][C]112[/C][C]119.93741059895[/C][C]-7.93741059894998[/C][/ROW]
[ROW][C]132[/C][C]109[/C][C]111.714999172627[/C][C]-2.71499917262665[/C][/ROW]
[ROW][C]133[/C][C]110[/C][C]108.638923123527[/C][C]1.36107687647309[/C][/ROW]
[ROW][C]134[/C][C]106[/C][C]109.677061386082[/C][C]-3.67706138608222[/C][/ROW]
[ROW][C]135[/C][C]102[/C][C]105.574027725752[/C][C]-3.57402772575158[/C][/ROW]
[ROW][C]136[/C][C]98[/C][C]101.473881135841[/C][C]-3.47388113584118[/C][/ROW]
[ROW][C]137[/C][C]92[/C][C]97.3765407187532[/C][C]-5.37654071875322[/C][/ROW]
[ROW][C]138[/C][C]92[/C][C]91.2258865381441[/C][C]0.774113461855947[/C][/ROW]
[ROW][C]139[/C][C]120[/C][C]91.2475777026669[/C][C]28.7524222973331[/C][/ROW]
[ROW][C]140[/C][C]127[/C][C]120.053239344292[/C][C]6.94676065570822[/C][/ROW]
[ROW][C]141[/C][C]124[/C][C]127.247892112534[/C][C]-3.24789211253427[/C][/ROW]
[ROW][C]142[/C][C]114[/C][C]124.156884055399[/C][C]-10.1568840553993[/C][/ROW]
[ROW][C]143[/C][C]108[/C][C]113.87228153401[/C][C]-5.87228153401016[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]107.70773637215[/C][C]-1.70773637215042[/C][/ROW]
[ROW][C]145[/C][C]111[/C][C]105.659884484236[/C][C]5.34011551576431[/C][/ROW]
[ROW][C]146[/C][C]110[/C][C]110.80951800688[/C][C]-0.809518006879657[/C][/ROW]
[ROW][C]147[/C][C]104[/C][C]109.786834783894[/C][C]-5.78683478389402[/C][/ROW]
[ROW][C]148[/C][C]100[/C][C]103.62468389575[/C][C]-3.62468389575002[/C][/ROW]
[ROW][C]149[/C][C]96[/C][C]99.5231178868892[/C][C]-3.5231178868892[/C][/ROW]
[ROW][C]150[/C][C]98[/C][C]95.4243978238964[/C][C]2.57560217610363[/C][/ROW]
[ROW][C]151[/C][C]122[/C][C]97.4965678781587[/C][C]24.5034321218413[/C][/ROW]
[ROW][C]152[/C][C]134[/C][C]122.183170041433[/C][C]11.816829958567[/C][/ROW]
[ROW][C]153[/C][C]133[/C][C]134.5142853306[/C][C]-1.51428533059959[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192080&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192080&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
3104106-2
410098.94395869445061.05604130554939
59394.9735496611892-1.97354966118915
69187.91824951139943.08175048860065
711986.004602171778732.9953978282213
8139114.92915475748624.0708452425139
9134135.60363555402-1.60363555401986
10124130.558700638984-6.55870063898351
11113120.374921565725-7.37492156572542
12109109.168271449292-0.168271449291652
13109105.1635563734393.83644362656085
14106105.2710560281890.728943971811319
15101102.291481514115-1.29148151411502
169897.25529335904310.744706640956935
179394.2761605252483-1.27616052524833
189189.24040167428561.75959832571442
1912287.289706767993434.7102932320066
20139119.26231184235519.7376881576449
21140136.8153747487963.18462525120438
22132137.904610027177-5.90461002717711
23117129.739158999836-12.7391589998356
24114114.38219944886-0.382199448859652
25113111.3714899708121.62851002918752
26110110.41712188488-0.417121884880444
27107107.405433857379-0.405433857379492
28103104.394073336039-1.39407333603876
2998100.355010491147-2.35501049114715
309895.2890215598942.71097844010603
3113795.364984945443941.6350150545561
32148135.53162524555712.4683747544434
33147146.8809972452160.119002754784418
34139145.884331780087-6.88433178008663
35130137.691428309691-7.69142830969105
36128128.475909467684-0.475909467683778
37127126.4625741737380.537425826262393
38123125.477633196207-2.47763319620746
39118121.408208296713-3.40820829671348
40114116.312708075447-2.31270807544746
41108112.247904485496-4.24790448549612
42111106.1288754288884.87112457111202
43151109.26536751911741.7346324808826
44159150.4347991645448.56520083545647
45158158.674801683099-0.674801683099332
46148157.655893299445-9.65589329944544
47138147.385328866072-9.38532886607223
48137137.12234582474-0.12234582473971
49136136.118917614866-0.118917614866263
50133135.115585465671-2.1155854656713
51126132.056305379923-6.05630537992255
52120124.886603749774-4.88660374977424
53114118.749677922854-4.7496779228543
54116112.6165888469863.38341115301361
55153114.71139423609938.288605763901
56162152.7842659634369.2157340365637
57161162.042496846939-1.04249684693875
58149161.013285404772-12.013285404772
59139148.676665305762-9.67666530576159
60135138.405518827212-3.40551882721195
61130134.310093966637-4.31009396663697
62127129.189322320172-2.18932232017156
63122126.127976079626-4.12797607962614
64117121.012307495237-4.01230749523671
65112115.899880020087-3.89988002008739
66113110.7906028361822.20939716381844
67149111.8525115869537.1474884130497
68157148.8934084612248.10659153877577
69157157.120560447919-0.120560447918507
70147157.117182265469-10.117182265469
71137146.83369221415-9.83369221415006
72132136.558145739124-4.55814573912417
73125131.430423520072-6.43042352007174
74123124.250238855422-1.2502388554216
75117122.215206346568-5.21520634656841
76114116.069072860383-2.06907286038285
77111113.011096088197-2.01109608819652
78112109.9547438630132.04525613698736
79144111.01205327506232.9879467249375
80150143.9363970759926.06360292400805
81149150.106303188089-1.10630318808916
82134149.075303850592-15.0753038505922
83123133.652883995922-10.6528839959218
84116122.354383232423-6.354383232423
85117115.176329266271.82367073373004
86111116.227429710675-5.22742971067517
87105110.080953717848-5.08095371784825
88102103.938582077956-1.93858207795614
8995100.884261742674-5.8842617426745
909393.7193808875476-0.719380887547615
9112491.699223365484932.3007766345151
92130123.6043122119136.39568778808651
93124129.783523558679-5.78352355867878
94115123.621465453227-8.6214654532268
95106114.379886363353-8.37988636335295
96105105.145076477274-0.14507647727406
97105104.1410113396790.858988660321401
98101104.165080762667-3.16508076266686
9995100.076393133612-5.07639313361231
1009393.9341492842675-0.934149284267534
1018491.9079738115334-7.90797381153335
1028782.6863872232094.31361277679098
10311685.80725746903230.192742530968
104120115.6532778238084.34672217619215
105117119.775075816615-2.77507581661499
106109116.697316380734-7.69731638073418
107105108.481632551133-3.48163255113268
108107104.3840749343282.61592506567168
109109106.4573748622782.54262513772187
110109108.5286208783980.471379121601572
111108108.54182922909-0.541829229090069
112107107.526646820399-0.526646820398554
11399106.511889832709-7.51188983270927
11410398.30140177602524.6985982239748
115131102.43305956538728.566940434613
116137131.2335238841415.76647611585946
117135137.395104309117-2.39510430911659
118124135.327991922912-11.3279919229117
119118124.010574194605-6.01057419460525
120121117.8421539821223.1578460178783
121121120.9306388889050.0693611110953896
122118120.932582432515-2.93258243251468
123113117.85040955844-4.85040955844003
124107112.714497916388-5.71449791638794
125100106.554373954491-6.55437395449114
12610299.37071611775692.62928388224313
127130101.44439036846728.5556096315327
128136130.2445371907225.7554628092779
129133136.405809015659-3.40580901565852
130120133.310376023814-13.3103760238138
131112119.93741059895-7.93741059894998
132109111.714999172627-2.71499917262665
133110108.6389231235271.36107687647309
134106109.677061386082-3.67706138608222
135102105.574027725752-3.57402772575158
13698101.473881135841-3.47388113584118
1379297.3765407187532-5.37654071875322
1389291.22588653814410.774113461855947
13912091.247577702666928.7524222973331
140127120.0532393442926.94676065570822
141124127.247892112534-3.24789211253427
142114124.156884055399-10.1568840553993
143108113.87228153401-5.87228153401016
144106107.70773637215-1.70773637215042
145111105.6598844842365.34011551576431
146110110.80951800688-0.809518006879657
147104109.786834783894-5.78683478389402
148100103.62468389575-3.62468389575002
1499699.5231178868892-3.5231178868892
1509895.42439782389642.57560217610363
15112297.496567878158724.5034321218413
152134122.18317004143311.816829958567
153133134.5142853306-1.51428533059959







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
154133.471854067149111.165205291737155.778502842561
155133.943708134298101.952314849536165.93510141906
156134.41556220144794.6868652521848174.14425915071
157134.88741626859688.3779731661277181.396859371065
158135.35927033574582.6477211202198188.070819551271
159135.83112440289477.3051635185357194.357085287253
160136.30297847004372.238544537743200.367412402344
161136.77483253719367.3761323999371206.173532674448
162137.24668660434262.6688539620914211.824519246592
163137.71854067149158.0815286428831217.355552700098
164138.1903947386453.5880151173658222.792774359914
165138.66224880578949.1683308728794228.156166738698

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
154 & 133.471854067149 & 111.165205291737 & 155.778502842561 \tabularnewline
155 & 133.943708134298 & 101.952314849536 & 165.93510141906 \tabularnewline
156 & 134.415562201447 & 94.6868652521848 & 174.14425915071 \tabularnewline
157 & 134.887416268596 & 88.3779731661277 & 181.396859371065 \tabularnewline
158 & 135.359270335745 & 82.6477211202198 & 188.070819551271 \tabularnewline
159 & 135.831124402894 & 77.3051635185357 & 194.357085287253 \tabularnewline
160 & 136.302978470043 & 72.238544537743 & 200.367412402344 \tabularnewline
161 & 136.774832537193 & 67.3761323999371 & 206.173532674448 \tabularnewline
162 & 137.246686604342 & 62.6688539620914 & 211.824519246592 \tabularnewline
163 & 137.718540671491 & 58.0815286428831 & 217.355552700098 \tabularnewline
164 & 138.19039473864 & 53.5880151173658 & 222.792774359914 \tabularnewline
165 & 138.662248805789 & 49.1683308728794 & 228.156166738698 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192080&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]154[/C][C]133.471854067149[/C][C]111.165205291737[/C][C]155.778502842561[/C][/ROW]
[ROW][C]155[/C][C]133.943708134298[/C][C]101.952314849536[/C][C]165.93510141906[/C][/ROW]
[ROW][C]156[/C][C]134.415562201447[/C][C]94.6868652521848[/C][C]174.14425915071[/C][/ROW]
[ROW][C]157[/C][C]134.887416268596[/C][C]88.3779731661277[/C][C]181.396859371065[/C][/ROW]
[ROW][C]158[/C][C]135.359270335745[/C][C]82.6477211202198[/C][C]188.070819551271[/C][/ROW]
[ROW][C]159[/C][C]135.831124402894[/C][C]77.3051635185357[/C][C]194.357085287253[/C][/ROW]
[ROW][C]160[/C][C]136.302978470043[/C][C]72.238544537743[/C][C]200.367412402344[/C][/ROW]
[ROW][C]161[/C][C]136.774832537193[/C][C]67.3761323999371[/C][C]206.173532674448[/C][/ROW]
[ROW][C]162[/C][C]137.246686604342[/C][C]62.6688539620914[/C][C]211.824519246592[/C][/ROW]
[ROW][C]163[/C][C]137.718540671491[/C][C]58.0815286428831[/C][C]217.355552700098[/C][/ROW]
[ROW][C]164[/C][C]138.19039473864[/C][C]53.5880151173658[/C][C]222.792774359914[/C][/ROW]
[ROW][C]165[/C][C]138.662248805789[/C][C]49.1683308728794[/C][C]228.156166738698[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192080&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192080&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
154133.471854067149111.165205291737155.778502842561
155133.943708134298101.952314849536165.93510141906
156134.41556220144794.6868652521848174.14425915071
157134.88741626859688.3779731661277181.396859371065
158135.35927033574582.6477211202198188.070819551271
159135.83112440289477.3051635185357194.357085287253
160136.30297847004372.238544537743200.367412402344
161136.77483253719367.3761323999371206.173532674448
162137.24668660434262.6688539620914211.824519246592
163137.71854067149158.0815286428831217.355552700098
164138.1903947386453.5880151173658222.792774359914
165138.66224880578949.1683308728794228.156166738698



Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
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')