Free Statistics

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 09:03:46 -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/t135367947381aid7fxiq358b4.htm/, Retrieved Wed, 01 May 2024 14:58:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=192099, Retrieved Wed, 01 May 2024 14:58:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76
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] [3e2c7966ca4198d187b4c59e4eb5d004]
-             [Exponential Smoothing] [WS8 Triple Moving...] [2012-11-23 14:03:46] [7ac586d7aaad1f98cbd1d1bd98b37cf0] [Current]
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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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192099&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192099&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192099&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.695307440358141
beta0.604332080366294
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.695307440358141 \tabularnewline
beta & 0.604332080366294 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192099&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]0.695307440358141[/C][/ROW]
[ROW][C]beta[/C][C]0.604332080366294[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192099&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192099&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
alpha0.695307440358141
beta0.604332080366294
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13109109.640224358974-0.640224358974336
14106105.8929804094010.107019590599037
15101100.5852700049680.414729995032417
169897.3324477313610.667552268638985
179392.61925118722910.380748812770861
189190.99162741981780.00837258018218279
19122120.3169391502671.68306084973342
20139143.180557194543-4.18055719454321
21140135.0438354330514.95616456694856
22132130.2175077528621.78249224713778
23117122.808499262831-5.80849926283135
24114114.597372968445-0.597372968444859
25113113.438495875061-0.438495875061193
26110109.6285840048890.371415995111221
27107104.2789550184972.72104498150308
28103103.35635703772-0.356357037719931
299898.0631919118164-0.0631919118164319
309896.046240264851.95375973515003
31137128.0847119432568.91528805674386
32148158.079560537953-10.0795605379531
33147150.035577854374-3.03557785437374
34139136.7379037886762.26209621132432
35130125.6033427452524.39665725474785
36128128.617794980843-0.617794980842916
37127130.026611582565-3.02661158256481
38123126.109904929483-3.10990492948336
39118119.038730088323-1.03873008832309
40114112.9675543746951.03244562530546
41108107.7162127976080.283787202392489
42111105.6877214030645.31227859693607
43151142.7264132302968.27358676970371
44159166.761743525768-7.7617435257678
45158163.723794597779-5.72379459777895
46148150.289755014082-2.28975501408172
47138134.8465801561543.15341984384639
48137133.1522671018253.84773289817539
49136136.491982781657-0.49198278165693
50133134.937218728046-1.93721872804622
51126130.430226835739-4.43022683573895
52120122.324628598513-2.3246285985132
53114112.7929851060831.20701489391688
54116111.6085092597794.39149074022092
55153147.1922916380545.807708361946
56162161.8741114258790.125888574120921
57161165.502674714493-4.50267471449251
58149155.038360650625-6.03836065062518
59139138.1464414384740.853558561525716
60135133.5973700275331.40262997246685
61130131.420084738843-1.42008473884309
62127125.8950429365991.10495706340092
63122121.1374004724280.862599527572172
64117117.971234489138-0.971234489138311
65112111.6431036649610.356896335039124
66113111.6670254138541.33297458614629
67149145.0997369192693.90026308073084
68157155.4666127833121.53338721668752
69157157.99748287417-0.997482874170487
70147150.309263683071-3.3092636830709
71137139.368400633311-2.36840063331127
72132133.346096952098-1.34609695209778
73125127.842257481683-2.84225748168299
74123120.9448539710912.05514602890926
75117116.020430722730.97956927726996
76114111.672379682662.32762031733962
77111108.7243468638542.27565313614581
78112111.8677614755020.132238524497581
79144146.231243967162-2.23124396716159
80150150.020647530994-0.0206475309939549
81149148.4538279445660.546172055433715
82134139.537159171357-5.53715917135727
83123124.800361763797-1.80036176379676
84116117.189660038022-1.18966003802218
85117109.1096095723557.89039042764503
86111113.447606728782-2.44760672878189
87105105.453332698969-0.453332698968595
88102100.3062817950751.69371820492466
899596.4218610199739-1.42186101997392
909394.3078041090277-1.30780410902773
91124124.311297771658-0.311297771658317
92130128.2773804033611.72261959663928
93124126.996061944378-2.99606194437798
94115111.1751599108723.82484008912844
95106105.4325389534960.56746104650378
96105101.9953637331193.00463626688089
97105103.7017769421681.29822305783188
98101101.639788429705-0.63978842970495
999597.6032916275089-2.60329162750888
1009392.8052905598550.194709440144976
1018487.4891674945408-3.48916749454081
1028783.66363763329153.33636236670846
103116118.842534123659-2.84253412365896
104120122.247383143351-2.24738314335077
105117115.6787978306571.32120216934267
106109105.662952170613.3370478293896
10710599.10865023590135.89134976409866
108107102.8728672720584.12713272794244
109109108.0685620645320.93143793546821
110109108.2356584390830.764341560917472
111108108.241820480432-0.241820480431699
112107110.595201735688-3.59520173568805
11399104.585871336071-5.58587133607136
114103103.565544046611-0.565544046611237
115131134.692552600611-3.69255260061067
116137137.874341069117-0.87434106911698
117135134.1113366646690.888663335330818
118124124.990778510046-0.990778510046482
119118114.968867438213.03113256178965
120121113.7682407701497.23175922985111
121121119.0148849201831.98511507981698
122118119.172433253314-1.17243325331435
123113116.020280514417-3.02028051441711
124107112.747437326284-5.74743732628427
125100101.058147040088-1.05814704008814
126102103.04121858084-1.04121858084048
127130131.010416100772-1.01041610077186
128136136.168531984238-0.168531984237802
129133132.9827646500690.0172353499310134
130120121.866781554761-1.86678155476075
131112111.2762693012480.723730698752178
132109107.596670116421.40332988358017
133110102.5885458681117.41145413188904
134106103.2335111378792.76648886212139
135102101.5887410934290.411258906570936
13698100.644495729204-2.64449572920375
1379294.6189084888621-2.61890848886213
1389296.9435151218556-4.94351512185555
139120121.990656566231-1.99065656623122
140127126.0936805416580.906319458341585
141124123.5334770048860.46652299511446
142114112.1662398238811.83376017611918
143108106.5034054069511.49659459304858
144106105.4583616562140.541638343786019
145111103.209756379397.79024362061035
146110104.3900052482535.60999475174683
147104106.886751252554-2.88675125255362
148100104.214522846393-4.21452284639288
1499697.9415739294778-1.9415739294778
15098101.149953267321-3.14995326732083
151122130.218641515419-8.21864151541936
152134130.131766077123.86823392287951
153133129.9993651784523.00063482154755

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 109 & 109.640224358974 & -0.640224358974336 \tabularnewline
14 & 106 & 105.892980409401 & 0.107019590599037 \tabularnewline
15 & 101 & 100.585270004968 & 0.414729995032417 \tabularnewline
16 & 98 & 97.332447731361 & 0.667552268638985 \tabularnewline
17 & 93 & 92.6192511872291 & 0.380748812770861 \tabularnewline
18 & 91 & 90.9916274198178 & 0.00837258018218279 \tabularnewline
19 & 122 & 120.316939150267 & 1.68306084973342 \tabularnewline
20 & 139 & 143.180557194543 & -4.18055719454321 \tabularnewline
21 & 140 & 135.043835433051 & 4.95616456694856 \tabularnewline
22 & 132 & 130.217507752862 & 1.78249224713778 \tabularnewline
23 & 117 & 122.808499262831 & -5.80849926283135 \tabularnewline
24 & 114 & 114.597372968445 & -0.597372968444859 \tabularnewline
25 & 113 & 113.438495875061 & -0.438495875061193 \tabularnewline
26 & 110 & 109.628584004889 & 0.371415995111221 \tabularnewline
27 & 107 & 104.278955018497 & 2.72104498150308 \tabularnewline
28 & 103 & 103.35635703772 & -0.356357037719931 \tabularnewline
29 & 98 & 98.0631919118164 & -0.0631919118164319 \tabularnewline
30 & 98 & 96.04624026485 & 1.95375973515003 \tabularnewline
31 & 137 & 128.084711943256 & 8.91528805674386 \tabularnewline
32 & 148 & 158.079560537953 & -10.0795605379531 \tabularnewline
33 & 147 & 150.035577854374 & -3.03557785437374 \tabularnewline
34 & 139 & 136.737903788676 & 2.26209621132432 \tabularnewline
35 & 130 & 125.603342745252 & 4.39665725474785 \tabularnewline
36 & 128 & 128.617794980843 & -0.617794980842916 \tabularnewline
37 & 127 & 130.026611582565 & -3.02661158256481 \tabularnewline
38 & 123 & 126.109904929483 & -3.10990492948336 \tabularnewline
39 & 118 & 119.038730088323 & -1.03873008832309 \tabularnewline
40 & 114 & 112.967554374695 & 1.03244562530546 \tabularnewline
41 & 108 & 107.716212797608 & 0.283787202392489 \tabularnewline
42 & 111 & 105.687721403064 & 5.31227859693607 \tabularnewline
43 & 151 & 142.726413230296 & 8.27358676970371 \tabularnewline
44 & 159 & 166.761743525768 & -7.7617435257678 \tabularnewline
45 & 158 & 163.723794597779 & -5.72379459777895 \tabularnewline
46 & 148 & 150.289755014082 & -2.28975501408172 \tabularnewline
47 & 138 & 134.846580156154 & 3.15341984384639 \tabularnewline
48 & 137 & 133.152267101825 & 3.84773289817539 \tabularnewline
49 & 136 & 136.491982781657 & -0.49198278165693 \tabularnewline
50 & 133 & 134.937218728046 & -1.93721872804622 \tabularnewline
51 & 126 & 130.430226835739 & -4.43022683573895 \tabularnewline
52 & 120 & 122.324628598513 & -2.3246285985132 \tabularnewline
53 & 114 & 112.792985106083 & 1.20701489391688 \tabularnewline
54 & 116 & 111.608509259779 & 4.39149074022092 \tabularnewline
55 & 153 & 147.192291638054 & 5.807708361946 \tabularnewline
56 & 162 & 161.874111425879 & 0.125888574120921 \tabularnewline
57 & 161 & 165.502674714493 & -4.50267471449251 \tabularnewline
58 & 149 & 155.038360650625 & -6.03836065062518 \tabularnewline
59 & 139 & 138.146441438474 & 0.853558561525716 \tabularnewline
60 & 135 & 133.597370027533 & 1.40262997246685 \tabularnewline
61 & 130 & 131.420084738843 & -1.42008473884309 \tabularnewline
62 & 127 & 125.895042936599 & 1.10495706340092 \tabularnewline
63 & 122 & 121.137400472428 & 0.862599527572172 \tabularnewline
64 & 117 & 117.971234489138 & -0.971234489138311 \tabularnewline
65 & 112 & 111.643103664961 & 0.356896335039124 \tabularnewline
66 & 113 & 111.667025413854 & 1.33297458614629 \tabularnewline
67 & 149 & 145.099736919269 & 3.90026308073084 \tabularnewline
68 & 157 & 155.466612783312 & 1.53338721668752 \tabularnewline
69 & 157 & 157.99748287417 & -0.997482874170487 \tabularnewline
70 & 147 & 150.309263683071 & -3.3092636830709 \tabularnewline
71 & 137 & 139.368400633311 & -2.36840063331127 \tabularnewline
72 & 132 & 133.346096952098 & -1.34609695209778 \tabularnewline
73 & 125 & 127.842257481683 & -2.84225748168299 \tabularnewline
74 & 123 & 120.944853971091 & 2.05514602890926 \tabularnewline
75 & 117 & 116.02043072273 & 0.97956927726996 \tabularnewline
76 & 114 & 111.67237968266 & 2.32762031733962 \tabularnewline
77 & 111 & 108.724346863854 & 2.27565313614581 \tabularnewline
78 & 112 & 111.867761475502 & 0.132238524497581 \tabularnewline
79 & 144 & 146.231243967162 & -2.23124396716159 \tabularnewline
80 & 150 & 150.020647530994 & -0.0206475309939549 \tabularnewline
81 & 149 & 148.453827944566 & 0.546172055433715 \tabularnewline
82 & 134 & 139.537159171357 & -5.53715917135727 \tabularnewline
83 & 123 & 124.800361763797 & -1.80036176379676 \tabularnewline
84 & 116 & 117.189660038022 & -1.18966003802218 \tabularnewline
85 & 117 & 109.109609572355 & 7.89039042764503 \tabularnewline
86 & 111 & 113.447606728782 & -2.44760672878189 \tabularnewline
87 & 105 & 105.453332698969 & -0.453332698968595 \tabularnewline
88 & 102 & 100.306281795075 & 1.69371820492466 \tabularnewline
89 & 95 & 96.4218610199739 & -1.42186101997392 \tabularnewline
90 & 93 & 94.3078041090277 & -1.30780410902773 \tabularnewline
91 & 124 & 124.311297771658 & -0.311297771658317 \tabularnewline
92 & 130 & 128.277380403361 & 1.72261959663928 \tabularnewline
93 & 124 & 126.996061944378 & -2.99606194437798 \tabularnewline
94 & 115 & 111.175159910872 & 3.82484008912844 \tabularnewline
95 & 106 & 105.432538953496 & 0.56746104650378 \tabularnewline
96 & 105 & 101.995363733119 & 3.00463626688089 \tabularnewline
97 & 105 & 103.701776942168 & 1.29822305783188 \tabularnewline
98 & 101 & 101.639788429705 & -0.63978842970495 \tabularnewline
99 & 95 & 97.6032916275089 & -2.60329162750888 \tabularnewline
100 & 93 & 92.805290559855 & 0.194709440144976 \tabularnewline
101 & 84 & 87.4891674945408 & -3.48916749454081 \tabularnewline
102 & 87 & 83.6636376332915 & 3.33636236670846 \tabularnewline
103 & 116 & 118.842534123659 & -2.84253412365896 \tabularnewline
104 & 120 & 122.247383143351 & -2.24738314335077 \tabularnewline
105 & 117 & 115.678797830657 & 1.32120216934267 \tabularnewline
106 & 109 & 105.66295217061 & 3.3370478293896 \tabularnewline
107 & 105 & 99.1086502359013 & 5.89134976409866 \tabularnewline
108 & 107 & 102.872867272058 & 4.12713272794244 \tabularnewline
109 & 109 & 108.068562064532 & 0.93143793546821 \tabularnewline
110 & 109 & 108.235658439083 & 0.764341560917472 \tabularnewline
111 & 108 & 108.241820480432 & -0.241820480431699 \tabularnewline
112 & 107 & 110.595201735688 & -3.59520173568805 \tabularnewline
113 & 99 & 104.585871336071 & -5.58587133607136 \tabularnewline
114 & 103 & 103.565544046611 & -0.565544046611237 \tabularnewline
115 & 131 & 134.692552600611 & -3.69255260061067 \tabularnewline
116 & 137 & 137.874341069117 & -0.87434106911698 \tabularnewline
117 & 135 & 134.111336664669 & 0.888663335330818 \tabularnewline
118 & 124 & 124.990778510046 & -0.990778510046482 \tabularnewline
119 & 118 & 114.96886743821 & 3.03113256178965 \tabularnewline
120 & 121 & 113.768240770149 & 7.23175922985111 \tabularnewline
121 & 121 & 119.014884920183 & 1.98511507981698 \tabularnewline
122 & 118 & 119.172433253314 & -1.17243325331435 \tabularnewline
123 & 113 & 116.020280514417 & -3.02028051441711 \tabularnewline
124 & 107 & 112.747437326284 & -5.74743732628427 \tabularnewline
125 & 100 & 101.058147040088 & -1.05814704008814 \tabularnewline
126 & 102 & 103.04121858084 & -1.04121858084048 \tabularnewline
127 & 130 & 131.010416100772 & -1.01041610077186 \tabularnewline
128 & 136 & 136.168531984238 & -0.168531984237802 \tabularnewline
129 & 133 & 132.982764650069 & 0.0172353499310134 \tabularnewline
130 & 120 & 121.866781554761 & -1.86678155476075 \tabularnewline
131 & 112 & 111.276269301248 & 0.723730698752178 \tabularnewline
132 & 109 & 107.59667011642 & 1.40332988358017 \tabularnewline
133 & 110 & 102.588545868111 & 7.41145413188904 \tabularnewline
134 & 106 & 103.233511137879 & 2.76648886212139 \tabularnewline
135 & 102 & 101.588741093429 & 0.411258906570936 \tabularnewline
136 & 98 & 100.644495729204 & -2.64449572920375 \tabularnewline
137 & 92 & 94.6189084888621 & -2.61890848886213 \tabularnewline
138 & 92 & 96.9435151218556 & -4.94351512185555 \tabularnewline
139 & 120 & 121.990656566231 & -1.99065656623122 \tabularnewline
140 & 127 & 126.093680541658 & 0.906319458341585 \tabularnewline
141 & 124 & 123.533477004886 & 0.46652299511446 \tabularnewline
142 & 114 & 112.166239823881 & 1.83376017611918 \tabularnewline
143 & 108 & 106.503405406951 & 1.49659459304858 \tabularnewline
144 & 106 & 105.458361656214 & 0.541638343786019 \tabularnewline
145 & 111 & 103.20975637939 & 7.79024362061035 \tabularnewline
146 & 110 & 104.390005248253 & 5.60999475174683 \tabularnewline
147 & 104 & 106.886751252554 & -2.88675125255362 \tabularnewline
148 & 100 & 104.214522846393 & -4.21452284639288 \tabularnewline
149 & 96 & 97.9415739294778 & -1.9415739294778 \tabularnewline
150 & 98 & 101.149953267321 & -3.14995326732083 \tabularnewline
151 & 122 & 130.218641515419 & -8.21864151541936 \tabularnewline
152 & 134 & 130.13176607712 & 3.86823392287951 \tabularnewline
153 & 133 & 129.999365178452 & 3.00063482154755 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192099&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]109[/C][C]109.640224358974[/C][C]-0.640224358974336[/C][/ROW]
[ROW][C]14[/C][C]106[/C][C]105.892980409401[/C][C]0.107019590599037[/C][/ROW]
[ROW][C]15[/C][C]101[/C][C]100.585270004968[/C][C]0.414729995032417[/C][/ROW]
[ROW][C]16[/C][C]98[/C][C]97.332447731361[/C][C]0.667552268638985[/C][/ROW]
[ROW][C]17[/C][C]93[/C][C]92.6192511872291[/C][C]0.380748812770861[/C][/ROW]
[ROW][C]18[/C][C]91[/C][C]90.9916274198178[/C][C]0.00837258018218279[/C][/ROW]
[ROW][C]19[/C][C]122[/C][C]120.316939150267[/C][C]1.68306084973342[/C][/ROW]
[ROW][C]20[/C][C]139[/C][C]143.180557194543[/C][C]-4.18055719454321[/C][/ROW]
[ROW][C]21[/C][C]140[/C][C]135.043835433051[/C][C]4.95616456694856[/C][/ROW]
[ROW][C]22[/C][C]132[/C][C]130.217507752862[/C][C]1.78249224713778[/C][/ROW]
[ROW][C]23[/C][C]117[/C][C]122.808499262831[/C][C]-5.80849926283135[/C][/ROW]
[ROW][C]24[/C][C]114[/C][C]114.597372968445[/C][C]-0.597372968444859[/C][/ROW]
[ROW][C]25[/C][C]113[/C][C]113.438495875061[/C][C]-0.438495875061193[/C][/ROW]
[ROW][C]26[/C][C]110[/C][C]109.628584004889[/C][C]0.371415995111221[/C][/ROW]
[ROW][C]27[/C][C]107[/C][C]104.278955018497[/C][C]2.72104498150308[/C][/ROW]
[ROW][C]28[/C][C]103[/C][C]103.35635703772[/C][C]-0.356357037719931[/C][/ROW]
[ROW][C]29[/C][C]98[/C][C]98.0631919118164[/C][C]-0.0631919118164319[/C][/ROW]
[ROW][C]30[/C][C]98[/C][C]96.04624026485[/C][C]1.95375973515003[/C][/ROW]
[ROW][C]31[/C][C]137[/C][C]128.084711943256[/C][C]8.91528805674386[/C][/ROW]
[ROW][C]32[/C][C]148[/C][C]158.079560537953[/C][C]-10.0795605379531[/C][/ROW]
[ROW][C]33[/C][C]147[/C][C]150.035577854374[/C][C]-3.03557785437374[/C][/ROW]
[ROW][C]34[/C][C]139[/C][C]136.737903788676[/C][C]2.26209621132432[/C][/ROW]
[ROW][C]35[/C][C]130[/C][C]125.603342745252[/C][C]4.39665725474785[/C][/ROW]
[ROW][C]36[/C][C]128[/C][C]128.617794980843[/C][C]-0.617794980842916[/C][/ROW]
[ROW][C]37[/C][C]127[/C][C]130.026611582565[/C][C]-3.02661158256481[/C][/ROW]
[ROW][C]38[/C][C]123[/C][C]126.109904929483[/C][C]-3.10990492948336[/C][/ROW]
[ROW][C]39[/C][C]118[/C][C]119.038730088323[/C][C]-1.03873008832309[/C][/ROW]
[ROW][C]40[/C][C]114[/C][C]112.967554374695[/C][C]1.03244562530546[/C][/ROW]
[ROW][C]41[/C][C]108[/C][C]107.716212797608[/C][C]0.283787202392489[/C][/ROW]
[ROW][C]42[/C][C]111[/C][C]105.687721403064[/C][C]5.31227859693607[/C][/ROW]
[ROW][C]43[/C][C]151[/C][C]142.726413230296[/C][C]8.27358676970371[/C][/ROW]
[ROW][C]44[/C][C]159[/C][C]166.761743525768[/C][C]-7.7617435257678[/C][/ROW]
[ROW][C]45[/C][C]158[/C][C]163.723794597779[/C][C]-5.72379459777895[/C][/ROW]
[ROW][C]46[/C][C]148[/C][C]150.289755014082[/C][C]-2.28975501408172[/C][/ROW]
[ROW][C]47[/C][C]138[/C][C]134.846580156154[/C][C]3.15341984384639[/C][/ROW]
[ROW][C]48[/C][C]137[/C][C]133.152267101825[/C][C]3.84773289817539[/C][/ROW]
[ROW][C]49[/C][C]136[/C][C]136.491982781657[/C][C]-0.49198278165693[/C][/ROW]
[ROW][C]50[/C][C]133[/C][C]134.937218728046[/C][C]-1.93721872804622[/C][/ROW]
[ROW][C]51[/C][C]126[/C][C]130.430226835739[/C][C]-4.43022683573895[/C][/ROW]
[ROW][C]52[/C][C]120[/C][C]122.324628598513[/C][C]-2.3246285985132[/C][/ROW]
[ROW][C]53[/C][C]114[/C][C]112.792985106083[/C][C]1.20701489391688[/C][/ROW]
[ROW][C]54[/C][C]116[/C][C]111.608509259779[/C][C]4.39149074022092[/C][/ROW]
[ROW][C]55[/C][C]153[/C][C]147.192291638054[/C][C]5.807708361946[/C][/ROW]
[ROW][C]56[/C][C]162[/C][C]161.874111425879[/C][C]0.125888574120921[/C][/ROW]
[ROW][C]57[/C][C]161[/C][C]165.502674714493[/C][C]-4.50267471449251[/C][/ROW]
[ROW][C]58[/C][C]149[/C][C]155.038360650625[/C][C]-6.03836065062518[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]138.146441438474[/C][C]0.853558561525716[/C][/ROW]
[ROW][C]60[/C][C]135[/C][C]133.597370027533[/C][C]1.40262997246685[/C][/ROW]
[ROW][C]61[/C][C]130[/C][C]131.420084738843[/C][C]-1.42008473884309[/C][/ROW]
[ROW][C]62[/C][C]127[/C][C]125.895042936599[/C][C]1.10495706340092[/C][/ROW]
[ROW][C]63[/C][C]122[/C][C]121.137400472428[/C][C]0.862599527572172[/C][/ROW]
[ROW][C]64[/C][C]117[/C][C]117.971234489138[/C][C]-0.971234489138311[/C][/ROW]
[ROW][C]65[/C][C]112[/C][C]111.643103664961[/C][C]0.356896335039124[/C][/ROW]
[ROW][C]66[/C][C]113[/C][C]111.667025413854[/C][C]1.33297458614629[/C][/ROW]
[ROW][C]67[/C][C]149[/C][C]145.099736919269[/C][C]3.90026308073084[/C][/ROW]
[ROW][C]68[/C][C]157[/C][C]155.466612783312[/C][C]1.53338721668752[/C][/ROW]
[ROW][C]69[/C][C]157[/C][C]157.99748287417[/C][C]-0.997482874170487[/C][/ROW]
[ROW][C]70[/C][C]147[/C][C]150.309263683071[/C][C]-3.3092636830709[/C][/ROW]
[ROW][C]71[/C][C]137[/C][C]139.368400633311[/C][C]-2.36840063331127[/C][/ROW]
[ROW][C]72[/C][C]132[/C][C]133.346096952098[/C][C]-1.34609695209778[/C][/ROW]
[ROW][C]73[/C][C]125[/C][C]127.842257481683[/C][C]-2.84225748168299[/C][/ROW]
[ROW][C]74[/C][C]123[/C][C]120.944853971091[/C][C]2.05514602890926[/C][/ROW]
[ROW][C]75[/C][C]117[/C][C]116.02043072273[/C][C]0.97956927726996[/C][/ROW]
[ROW][C]76[/C][C]114[/C][C]111.67237968266[/C][C]2.32762031733962[/C][/ROW]
[ROW][C]77[/C][C]111[/C][C]108.724346863854[/C][C]2.27565313614581[/C][/ROW]
[ROW][C]78[/C][C]112[/C][C]111.867761475502[/C][C]0.132238524497581[/C][/ROW]
[ROW][C]79[/C][C]144[/C][C]146.231243967162[/C][C]-2.23124396716159[/C][/ROW]
[ROW][C]80[/C][C]150[/C][C]150.020647530994[/C][C]-0.0206475309939549[/C][/ROW]
[ROW][C]81[/C][C]149[/C][C]148.453827944566[/C][C]0.546172055433715[/C][/ROW]
[ROW][C]82[/C][C]134[/C][C]139.537159171357[/C][C]-5.53715917135727[/C][/ROW]
[ROW][C]83[/C][C]123[/C][C]124.800361763797[/C][C]-1.80036176379676[/C][/ROW]
[ROW][C]84[/C][C]116[/C][C]117.189660038022[/C][C]-1.18966003802218[/C][/ROW]
[ROW][C]85[/C][C]117[/C][C]109.109609572355[/C][C]7.89039042764503[/C][/ROW]
[ROW][C]86[/C][C]111[/C][C]113.447606728782[/C][C]-2.44760672878189[/C][/ROW]
[ROW][C]87[/C][C]105[/C][C]105.453332698969[/C][C]-0.453332698968595[/C][/ROW]
[ROW][C]88[/C][C]102[/C][C]100.306281795075[/C][C]1.69371820492466[/C][/ROW]
[ROW][C]89[/C][C]95[/C][C]96.4218610199739[/C][C]-1.42186101997392[/C][/ROW]
[ROW][C]90[/C][C]93[/C][C]94.3078041090277[/C][C]-1.30780410902773[/C][/ROW]
[ROW][C]91[/C][C]124[/C][C]124.311297771658[/C][C]-0.311297771658317[/C][/ROW]
[ROW][C]92[/C][C]130[/C][C]128.277380403361[/C][C]1.72261959663928[/C][/ROW]
[ROW][C]93[/C][C]124[/C][C]126.996061944378[/C][C]-2.99606194437798[/C][/ROW]
[ROW][C]94[/C][C]115[/C][C]111.175159910872[/C][C]3.82484008912844[/C][/ROW]
[ROW][C]95[/C][C]106[/C][C]105.432538953496[/C][C]0.56746104650378[/C][/ROW]
[ROW][C]96[/C][C]105[/C][C]101.995363733119[/C][C]3.00463626688089[/C][/ROW]
[ROW][C]97[/C][C]105[/C][C]103.701776942168[/C][C]1.29822305783188[/C][/ROW]
[ROW][C]98[/C][C]101[/C][C]101.639788429705[/C][C]-0.63978842970495[/C][/ROW]
[ROW][C]99[/C][C]95[/C][C]97.6032916275089[/C][C]-2.60329162750888[/C][/ROW]
[ROW][C]100[/C][C]93[/C][C]92.805290559855[/C][C]0.194709440144976[/C][/ROW]
[ROW][C]101[/C][C]84[/C][C]87.4891674945408[/C][C]-3.48916749454081[/C][/ROW]
[ROW][C]102[/C][C]87[/C][C]83.6636376332915[/C][C]3.33636236670846[/C][/ROW]
[ROW][C]103[/C][C]116[/C][C]118.842534123659[/C][C]-2.84253412365896[/C][/ROW]
[ROW][C]104[/C][C]120[/C][C]122.247383143351[/C][C]-2.24738314335077[/C][/ROW]
[ROW][C]105[/C][C]117[/C][C]115.678797830657[/C][C]1.32120216934267[/C][/ROW]
[ROW][C]106[/C][C]109[/C][C]105.66295217061[/C][C]3.3370478293896[/C][/ROW]
[ROW][C]107[/C][C]105[/C][C]99.1086502359013[/C][C]5.89134976409866[/C][/ROW]
[ROW][C]108[/C][C]107[/C][C]102.872867272058[/C][C]4.12713272794244[/C][/ROW]
[ROW][C]109[/C][C]109[/C][C]108.068562064532[/C][C]0.93143793546821[/C][/ROW]
[ROW][C]110[/C][C]109[/C][C]108.235658439083[/C][C]0.764341560917472[/C][/ROW]
[ROW][C]111[/C][C]108[/C][C]108.241820480432[/C][C]-0.241820480431699[/C][/ROW]
[ROW][C]112[/C][C]107[/C][C]110.595201735688[/C][C]-3.59520173568805[/C][/ROW]
[ROW][C]113[/C][C]99[/C][C]104.585871336071[/C][C]-5.58587133607136[/C][/ROW]
[ROW][C]114[/C][C]103[/C][C]103.565544046611[/C][C]-0.565544046611237[/C][/ROW]
[ROW][C]115[/C][C]131[/C][C]134.692552600611[/C][C]-3.69255260061067[/C][/ROW]
[ROW][C]116[/C][C]137[/C][C]137.874341069117[/C][C]-0.87434106911698[/C][/ROW]
[ROW][C]117[/C][C]135[/C][C]134.111336664669[/C][C]0.888663335330818[/C][/ROW]
[ROW][C]118[/C][C]124[/C][C]124.990778510046[/C][C]-0.990778510046482[/C][/ROW]
[ROW][C]119[/C][C]118[/C][C]114.96886743821[/C][C]3.03113256178965[/C][/ROW]
[ROW][C]120[/C][C]121[/C][C]113.768240770149[/C][C]7.23175922985111[/C][/ROW]
[ROW][C]121[/C][C]121[/C][C]119.014884920183[/C][C]1.98511507981698[/C][/ROW]
[ROW][C]122[/C][C]118[/C][C]119.172433253314[/C][C]-1.17243325331435[/C][/ROW]
[ROW][C]123[/C][C]113[/C][C]116.020280514417[/C][C]-3.02028051441711[/C][/ROW]
[ROW][C]124[/C][C]107[/C][C]112.747437326284[/C][C]-5.74743732628427[/C][/ROW]
[ROW][C]125[/C][C]100[/C][C]101.058147040088[/C][C]-1.05814704008814[/C][/ROW]
[ROW][C]126[/C][C]102[/C][C]103.04121858084[/C][C]-1.04121858084048[/C][/ROW]
[ROW][C]127[/C][C]130[/C][C]131.010416100772[/C][C]-1.01041610077186[/C][/ROW]
[ROW][C]128[/C][C]136[/C][C]136.168531984238[/C][C]-0.168531984237802[/C][/ROW]
[ROW][C]129[/C][C]133[/C][C]132.982764650069[/C][C]0.0172353499310134[/C][/ROW]
[ROW][C]130[/C][C]120[/C][C]121.866781554761[/C][C]-1.86678155476075[/C][/ROW]
[ROW][C]131[/C][C]112[/C][C]111.276269301248[/C][C]0.723730698752178[/C][/ROW]
[ROW][C]132[/C][C]109[/C][C]107.59667011642[/C][C]1.40332988358017[/C][/ROW]
[ROW][C]133[/C][C]110[/C][C]102.588545868111[/C][C]7.41145413188904[/C][/ROW]
[ROW][C]134[/C][C]106[/C][C]103.233511137879[/C][C]2.76648886212139[/C][/ROW]
[ROW][C]135[/C][C]102[/C][C]101.588741093429[/C][C]0.411258906570936[/C][/ROW]
[ROW][C]136[/C][C]98[/C][C]100.644495729204[/C][C]-2.64449572920375[/C][/ROW]
[ROW][C]137[/C][C]92[/C][C]94.6189084888621[/C][C]-2.61890848886213[/C][/ROW]
[ROW][C]138[/C][C]92[/C][C]96.9435151218556[/C][C]-4.94351512185555[/C][/ROW]
[ROW][C]139[/C][C]120[/C][C]121.990656566231[/C][C]-1.99065656623122[/C][/ROW]
[ROW][C]140[/C][C]127[/C][C]126.093680541658[/C][C]0.906319458341585[/C][/ROW]
[ROW][C]141[/C][C]124[/C][C]123.533477004886[/C][C]0.46652299511446[/C][/ROW]
[ROW][C]142[/C][C]114[/C][C]112.166239823881[/C][C]1.83376017611918[/C][/ROW]
[ROW][C]143[/C][C]108[/C][C]106.503405406951[/C][C]1.49659459304858[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]105.458361656214[/C][C]0.541638343786019[/C][/ROW]
[ROW][C]145[/C][C]111[/C][C]103.20975637939[/C][C]7.79024362061035[/C][/ROW]
[ROW][C]146[/C][C]110[/C][C]104.390005248253[/C][C]5.60999475174683[/C][/ROW]
[ROW][C]147[/C][C]104[/C][C]106.886751252554[/C][C]-2.88675125255362[/C][/ROW]
[ROW][C]148[/C][C]100[/C][C]104.214522846393[/C][C]-4.21452284639288[/C][/ROW]
[ROW][C]149[/C][C]96[/C][C]97.9415739294778[/C][C]-1.9415739294778[/C][/ROW]
[ROW][C]150[/C][C]98[/C][C]101.149953267321[/C][C]-3.14995326732083[/C][/ROW]
[ROW][C]151[/C][C]122[/C][C]130.218641515419[/C][C]-8.21864151541936[/C][/ROW]
[ROW][C]152[/C][C]134[/C][C]130.13176607712[/C][C]3.86823392287951[/C][/ROW]
[ROW][C]153[/C][C]133[/C][C]129.999365178452[/C][C]3.00063482154755[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192099&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192099&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
13109109.640224358974-0.640224358974336
14106105.8929804094010.107019590599037
15101100.5852700049680.414729995032417
169897.3324477313610.667552268638985
179392.61925118722910.380748812770861
189190.99162741981780.00837258018218279
19122120.3169391502671.68306084973342
20139143.180557194543-4.18055719454321
21140135.0438354330514.95616456694856
22132130.2175077528621.78249224713778
23117122.808499262831-5.80849926283135
24114114.597372968445-0.597372968444859
25113113.438495875061-0.438495875061193
26110109.6285840048890.371415995111221
27107104.2789550184972.72104498150308
28103103.35635703772-0.356357037719931
299898.0631919118164-0.0631919118164319
309896.046240264851.95375973515003
31137128.0847119432568.91528805674386
32148158.079560537953-10.0795605379531
33147150.035577854374-3.03557785437374
34139136.7379037886762.26209621132432
35130125.6033427452524.39665725474785
36128128.617794980843-0.617794980842916
37127130.026611582565-3.02661158256481
38123126.109904929483-3.10990492948336
39118119.038730088323-1.03873008832309
40114112.9675543746951.03244562530546
41108107.7162127976080.283787202392489
42111105.6877214030645.31227859693607
43151142.7264132302968.27358676970371
44159166.761743525768-7.7617435257678
45158163.723794597779-5.72379459777895
46148150.289755014082-2.28975501408172
47138134.8465801561543.15341984384639
48137133.1522671018253.84773289817539
49136136.491982781657-0.49198278165693
50133134.937218728046-1.93721872804622
51126130.430226835739-4.43022683573895
52120122.324628598513-2.3246285985132
53114112.7929851060831.20701489391688
54116111.6085092597794.39149074022092
55153147.1922916380545.807708361946
56162161.8741114258790.125888574120921
57161165.502674714493-4.50267471449251
58149155.038360650625-6.03836065062518
59139138.1464414384740.853558561525716
60135133.5973700275331.40262997246685
61130131.420084738843-1.42008473884309
62127125.8950429365991.10495706340092
63122121.1374004724280.862599527572172
64117117.971234489138-0.971234489138311
65112111.6431036649610.356896335039124
66113111.6670254138541.33297458614629
67149145.0997369192693.90026308073084
68157155.4666127833121.53338721668752
69157157.99748287417-0.997482874170487
70147150.309263683071-3.3092636830709
71137139.368400633311-2.36840063331127
72132133.346096952098-1.34609695209778
73125127.842257481683-2.84225748168299
74123120.9448539710912.05514602890926
75117116.020430722730.97956927726996
76114111.672379682662.32762031733962
77111108.7243468638542.27565313614581
78112111.8677614755020.132238524497581
79144146.231243967162-2.23124396716159
80150150.020647530994-0.0206475309939549
81149148.4538279445660.546172055433715
82134139.537159171357-5.53715917135727
83123124.800361763797-1.80036176379676
84116117.189660038022-1.18966003802218
85117109.1096095723557.89039042764503
86111113.447606728782-2.44760672878189
87105105.453332698969-0.453332698968595
88102100.3062817950751.69371820492466
899596.4218610199739-1.42186101997392
909394.3078041090277-1.30780410902773
91124124.311297771658-0.311297771658317
92130128.2773804033611.72261959663928
93124126.996061944378-2.99606194437798
94115111.1751599108723.82484008912844
95106105.4325389534960.56746104650378
96105101.9953637331193.00463626688089
97105103.7017769421681.29822305783188
98101101.639788429705-0.63978842970495
999597.6032916275089-2.60329162750888
1009392.8052905598550.194709440144976
1018487.4891674945408-3.48916749454081
1028783.66363763329153.33636236670846
103116118.842534123659-2.84253412365896
104120122.247383143351-2.24738314335077
105117115.6787978306571.32120216934267
106109105.662952170613.3370478293896
10710599.10865023590135.89134976409866
108107102.8728672720584.12713272794244
109109108.0685620645320.93143793546821
110109108.2356584390830.764341560917472
111108108.241820480432-0.241820480431699
112107110.595201735688-3.59520173568805
11399104.585871336071-5.58587133607136
114103103.565544046611-0.565544046611237
115131134.692552600611-3.69255260061067
116137137.874341069117-0.87434106911698
117135134.1113366646690.888663335330818
118124124.990778510046-0.990778510046482
119118114.968867438213.03113256178965
120121113.7682407701497.23175922985111
121121119.0148849201831.98511507981698
122118119.172433253314-1.17243325331435
123113116.020280514417-3.02028051441711
124107112.747437326284-5.74743732628427
125100101.058147040088-1.05814704008814
126102103.04121858084-1.04121858084048
127130131.010416100772-1.01041610077186
128136136.168531984238-0.168531984237802
129133132.9827646500690.0172353499310134
130120121.866781554761-1.86678155476075
131112111.2762693012480.723730698752178
132109107.596670116421.40332988358017
133110102.5885458681117.41145413188904
134106103.2335111378792.76648886212139
135102101.5887410934290.411258906570936
13698100.644495729204-2.64449572920375
1379294.6189084888621-2.61890848886213
1389296.9435151218556-4.94351512185555
139120121.990656566231-1.99065656623122
140127126.0936805416580.906319458341585
141124123.5334770048860.46652299511446
142114112.1662398238811.83376017611918
143108106.5034054069511.49659459304858
144106105.4583616562140.541638343786019
145111103.209756379397.79024362061035
146110104.3900052482535.60999475174683
147104106.886751252554-2.88675125255362
148100104.214522846393-4.21452284639288
1499697.9415739294778-1.9415739294778
15098101.149953267321-3.14995326732083
151122130.218641515419-8.21864151541936
152134130.131766077123.86823392287951
153133129.9993651784523.00063482154755







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
154122.377891137719115.879992983402128.875789292037
155116.133947341894106.399347145932125.868547537855
156113.92512778390399.9845605667641127.865695001043
157113.44870445860394.5843542049058132.313054712299
158105.21479057400380.837640629022129.591940518983
15995.531426729620665.1275665937346125.935286865507
16089.984275391591853.0895381564434126.87901262674
16184.627653896725640.8139993710687128.441308422382
16286.927070294375235.7944106443963138.059729944354
163116.07438297143757.2452284169079174.903537525967
164128.27104638060761.3867577842325195.155334976982
165126.44553918901651.1635699055473201.727508472484

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
154 & 122.377891137719 & 115.879992983402 & 128.875789292037 \tabularnewline
155 & 116.133947341894 & 106.399347145932 & 125.868547537855 \tabularnewline
156 & 113.925127783903 & 99.9845605667641 & 127.865695001043 \tabularnewline
157 & 113.448704458603 & 94.5843542049058 & 132.313054712299 \tabularnewline
158 & 105.214790574003 & 80.837640629022 & 129.591940518983 \tabularnewline
159 & 95.5314267296206 & 65.1275665937346 & 125.935286865507 \tabularnewline
160 & 89.9842753915918 & 53.0895381564434 & 126.87901262674 \tabularnewline
161 & 84.6276538967256 & 40.8139993710687 & 128.441308422382 \tabularnewline
162 & 86.9270702943752 & 35.7944106443963 & 138.059729944354 \tabularnewline
163 & 116.074382971437 & 57.2452284169079 & 174.903537525967 \tabularnewline
164 & 128.271046380607 & 61.3867577842325 & 195.155334976982 \tabularnewline
165 & 126.445539189016 & 51.1635699055473 & 201.727508472484 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192099&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]122.377891137719[/C][C]115.879992983402[/C][C]128.875789292037[/C][/ROW]
[ROW][C]155[/C][C]116.133947341894[/C][C]106.399347145932[/C][C]125.868547537855[/C][/ROW]
[ROW][C]156[/C][C]113.925127783903[/C][C]99.9845605667641[/C][C]127.865695001043[/C][/ROW]
[ROW][C]157[/C][C]113.448704458603[/C][C]94.5843542049058[/C][C]132.313054712299[/C][/ROW]
[ROW][C]158[/C][C]105.214790574003[/C][C]80.837640629022[/C][C]129.591940518983[/C][/ROW]
[ROW][C]159[/C][C]95.5314267296206[/C][C]65.1275665937346[/C][C]125.935286865507[/C][/ROW]
[ROW][C]160[/C][C]89.9842753915918[/C][C]53.0895381564434[/C][C]126.87901262674[/C][/ROW]
[ROW][C]161[/C][C]84.6276538967256[/C][C]40.8139993710687[/C][C]128.441308422382[/C][/ROW]
[ROW][C]162[/C][C]86.9270702943752[/C][C]35.7944106443963[/C][C]138.059729944354[/C][/ROW]
[ROW][C]163[/C][C]116.074382971437[/C][C]57.2452284169079[/C][C]174.903537525967[/C][/ROW]
[ROW][C]164[/C][C]128.271046380607[/C][C]61.3867577842325[/C][C]195.155334976982[/C][/ROW]
[ROW][C]165[/C][C]126.445539189016[/C][C]51.1635699055473[/C][C]201.727508472484[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192099&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192099&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
154122.377891137719115.879992983402128.875789292037
155116.133947341894106.399347145932125.868547537855
156113.92512778390399.9845605667641127.865695001043
157113.44870445860394.5843542049058132.313054712299
158105.21479057400380.837640629022129.591940518983
15995.531426729620665.1275665937346125.935286865507
16089.984275391591853.0895381564434126.87901262674
16184.627653896725640.8139993710687128.441308422382
16286.927070294375235.7944106443963138.059729944354
163116.07438297143757.2452284169079174.903537525967
164128.27104638060761.3867577842325195.155334976982
165126.44553918901651.1635699055473201.727508472484



Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')