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 08:33:50 -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/t1353677651gmjwb5wcuh8gbnr.htm/, Retrieved Wed, 01 May 2024 22:37:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=192064, Retrieved Wed, 01 May 2024 22:37:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71
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] [7ac586d7aaad1f98cbd1d1bd98b37cf0] [Current]
- R         [Exponential Smoothing] [WS8 Double Moving...] [2012-11-23 13:45:04] [3e2c7966ca4198d187b4c59e4eb5d004]
-             [Exponential Smoothing] [WS8 Triple Moving...] [2012-11-23 14:03:46] [3e2c7966ca4198d187b4c59e4eb5d004]
Feedback Forum

Post a new message
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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192064&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192064&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192064&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192064&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]0.999933893038648[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192064&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192064&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2111116-5
3104111.000330534807-7.00033053480676
4100104.00046277058-4.00046277058011
593100.000264458438-7.00026445843777
69193.000462766212-2.00046276621201
711991.000132244514827.9998677554852
8139118.99814901382420.0018509861756
9134138.99867773841-4.9986777384099
10124134.000330447396-10.0003304473961
11113124.000661091458-11.0006610914584
12109113.000727220278-4.00072722027762
13109109.00026447592-0.000264475919735219
14106109.000000017484-3.0000000174837
15101106.000198320885-5.00019832088522
1698101.000330547917-3.00033054791714
179398.0001983427356-5.00019834273557
189193.0003305479186-2.00033054791859
1912291.000132235774230.9998677642258
20139121.9979506929417.0020493070602
21140138.9988760461841.00112395381643
22132139.999933818737-7.99993381873747
23117132.000528851316-15.0005288513158
24114117.000991639381-3.00099163938103
25113114.000198386438-1.00019838643833
26110113.000066120076-3.00006612007607
27107110.000198325255-3.00019832525506
28103107.000198333995-4.00019833399473
2998103.000264440957-5.00026444095667
309898.0003305522881-0.000330552288147601
3113798.000000021851838.9999999781482
32148136.99742182850911.0025781714913
33147147.99927265299-0.999272652990044
34139147.000066058879-8.00006605887864
35130139.000528860058-9.00052886005776
36128130.000594997613-2.00059499761349
37127128.000132253256-1.0001322532562
38123127.000066115704-4.00006611570421
39118123.000264432216-5.00026443221611
40114118.000330552288-4.00033055228756
41108114.000264449697-6.00026444969721
42111108.000396659252.99960334074993
43151110.99980170533840.0001982946621
44159150.9973557084378.00264429156275
45158158.999470969503-0.999470969503108
46148158.000066071989-10.0000660719888
47138148.000661073981-10.0006610739813
48137138.000661113315-1.00066111331512
49136137.000066150666-1.00006615066553
50133136.000066111334-3.00006611133438
51126133.000198325254-7.00019832525447
52120126.00046276184-6.00046276184014
53114120.00039667236-6.00039667235988
54116114.0003966679911.99960333200909
55153115.999867812337.0001321877002
56162152.9975540336919.00244596630856
57161161.999404875652-0.999404875652431
58149161.000066067619-12.0000660676195
59139149.000793287904-10.0007932879037
60135139.000661122055-4.00066112205536
61130135.00026447155-5.00026447155017
62127130.00033055229-3.00033055229017
63122127.000198342736-5.00019834273586
64117122.000330547919-5.00033054791859
65112117.000330556658-5.00033055665828
66113112.0003305566590.999669443341148
67149112.99993391489136.0000660851093
68157148.9976201450238.00237985497736
69157156.9994709869840.000529013015807323
70147156.999999965029-9.99999996502856
71137147.000661069611-10.0006610696112
72132137.000661113315-5.00066111331483
73125132.000330578511-7.00033057851095
74123125.000462770583-2.000462770583
75117123.000132244515-6.00013224451506
76114117.00039665051-3.0003966505104
77111114.000198347105-3.00019834710541
78112111.0001983339960.999801666003819
79144111.9999339061532.0000660938501
80150143.9978845728676.00211542713254
81149149.999603218387-0.999603218387421
82134149.000066080731-15.0000660807313
83123134.000991608789-11.0009916087887
84116123.000727242127-7.00072724212711
85117116.0004627968050.999537203194762
86111116.999933923633-5.99993392363274
87105111.0003966374-6.0003966374
88102105.000396667989-3.00039666798861
8995102.000198347107-7.00019834710658
909395.0004627618416-2.00046276184159
9112493.000132244514530.9998677554855
92130123.997950692946.00204930705962
93124129.999603222758-5.99960322275842
94115124.000396615538-9.00039661553838
95106115.000594988871-9.00059498887121
96105106.000595001985-1.00059500198508
97105105.000066146295-6.61462951256908e-05
98101105.000000004373-4.00000000437274
9995101.000264427846-6.00026442784569
1009395.0003966592486-2.00039665924864
1018493.0001322401446-9.00013224014464
1028784.00059497139422.99940502860584
10311686.999801718447729.0001982815523
104120115.9980828850134.00191711498699
105117119.99973544542-2.99973544541994
106109117.000198303395-8.00019830339515
107105109.0005288688-4.00052886880005
108107105.0002644628071.99973553719268
109109106.999867803562.00013219643986
110109108.9998677773380.000132222661804349
111108108.999999991259-0.999999991259159
112107108.000066106961-1.00006610696077
11399107.000066111331-8.00006611133148
11410399.00052886006123.99947113993876
115131102.99973560711628.0002643928841
116137130.9981489876046.00185101239606
117135136.999603235867-1.99960323586708
118124135.000132187694-11.0001321876938
119118124.000727185313-6.00072718531339
120121118.000396689842.99960331015988
121121120.999801705340.000198294660094689
122118120.999999986891-2.99999998689134
123113118.000198320883-5.00019832088319
124107113.000330547917-6.00033054791714
125100107.00039666362-7.00039666361963
126102100.0004627749521.99953722504831
127130101.9998678166728.0001321833301
128136129.9981489963446.0018510036561
129133135.999603235868-2.99960323586765
130120133.000198294655-13.0001982946552
131112120.000859403606-8.00085940360623
132109112.000528912503-3.00052891250337
133110109.0001983558490.999801644151148
134106109.999933906151-3.99993390615136
135102106.000264423476-4.00026442347614
13698102.000264445326-4.00026444532564
1379298.0002644453271-6.00026444532709
1389292.0003966592498-0.00039665924978749
13912092.000000026221927.9999999737781
140127119.9981490050847.00185099491613
141124126.999537128907-2.99953712890689
142114124.000198290285-10.0001982902851
143108114.000661082722-6.00066108272189
144106108.00039668547-2.00039668547028
145111106.0001322401464.99986775985363
146110110.999669473935-0.999669473935228
147104110.000066085111-6.00006608511127
148100104.000396646137-4.00039664613679
14996100.000264454066-4.00026445406648
1509896.00026444532771.99973555467234
15112297.99986780355924.000132196441
152134121.99841342418812.0015865758115
153133133.99920661158-0.999206611580064

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 111 & 116 & -5 \tabularnewline
3 & 104 & 111.000330534807 & -7.00033053480676 \tabularnewline
4 & 100 & 104.00046277058 & -4.00046277058011 \tabularnewline
5 & 93 & 100.000264458438 & -7.00026445843777 \tabularnewline
6 & 91 & 93.000462766212 & -2.00046276621201 \tabularnewline
7 & 119 & 91.0001322445148 & 27.9998677554852 \tabularnewline
8 & 139 & 118.998149013824 & 20.0018509861756 \tabularnewline
9 & 134 & 138.99867773841 & -4.9986777384099 \tabularnewline
10 & 124 & 134.000330447396 & -10.0003304473961 \tabularnewline
11 & 113 & 124.000661091458 & -11.0006610914584 \tabularnewline
12 & 109 & 113.000727220278 & -4.00072722027762 \tabularnewline
13 & 109 & 109.00026447592 & -0.000264475919735219 \tabularnewline
14 & 106 & 109.000000017484 & -3.0000000174837 \tabularnewline
15 & 101 & 106.000198320885 & -5.00019832088522 \tabularnewline
16 & 98 & 101.000330547917 & -3.00033054791714 \tabularnewline
17 & 93 & 98.0001983427356 & -5.00019834273557 \tabularnewline
18 & 91 & 93.0003305479186 & -2.00033054791859 \tabularnewline
19 & 122 & 91.0001322357742 & 30.9998677642258 \tabularnewline
20 & 139 & 121.99795069294 & 17.0020493070602 \tabularnewline
21 & 140 & 138.998876046184 & 1.00112395381643 \tabularnewline
22 & 132 & 139.999933818737 & -7.99993381873747 \tabularnewline
23 & 117 & 132.000528851316 & -15.0005288513158 \tabularnewline
24 & 114 & 117.000991639381 & -3.00099163938103 \tabularnewline
25 & 113 & 114.000198386438 & -1.00019838643833 \tabularnewline
26 & 110 & 113.000066120076 & -3.00006612007607 \tabularnewline
27 & 107 & 110.000198325255 & -3.00019832525506 \tabularnewline
28 & 103 & 107.000198333995 & -4.00019833399473 \tabularnewline
29 & 98 & 103.000264440957 & -5.00026444095667 \tabularnewline
30 & 98 & 98.0003305522881 & -0.000330552288147601 \tabularnewline
31 & 137 & 98.0000000218518 & 38.9999999781482 \tabularnewline
32 & 148 & 136.997421828509 & 11.0025781714913 \tabularnewline
33 & 147 & 147.99927265299 & -0.999272652990044 \tabularnewline
34 & 139 & 147.000066058879 & -8.00006605887864 \tabularnewline
35 & 130 & 139.000528860058 & -9.00052886005776 \tabularnewline
36 & 128 & 130.000594997613 & -2.00059499761349 \tabularnewline
37 & 127 & 128.000132253256 & -1.0001322532562 \tabularnewline
38 & 123 & 127.000066115704 & -4.00006611570421 \tabularnewline
39 & 118 & 123.000264432216 & -5.00026443221611 \tabularnewline
40 & 114 & 118.000330552288 & -4.00033055228756 \tabularnewline
41 & 108 & 114.000264449697 & -6.00026444969721 \tabularnewline
42 & 111 & 108.00039665925 & 2.99960334074993 \tabularnewline
43 & 151 & 110.999801705338 & 40.0001982946621 \tabularnewline
44 & 159 & 150.997355708437 & 8.00264429156275 \tabularnewline
45 & 158 & 158.999470969503 & -0.999470969503108 \tabularnewline
46 & 148 & 158.000066071989 & -10.0000660719888 \tabularnewline
47 & 138 & 148.000661073981 & -10.0006610739813 \tabularnewline
48 & 137 & 138.000661113315 & -1.00066111331512 \tabularnewline
49 & 136 & 137.000066150666 & -1.00006615066553 \tabularnewline
50 & 133 & 136.000066111334 & -3.00006611133438 \tabularnewline
51 & 126 & 133.000198325254 & -7.00019832525447 \tabularnewline
52 & 120 & 126.00046276184 & -6.00046276184014 \tabularnewline
53 & 114 & 120.00039667236 & -6.00039667235988 \tabularnewline
54 & 116 & 114.000396667991 & 1.99960333200909 \tabularnewline
55 & 153 & 115.9998678123 & 37.0001321877002 \tabularnewline
56 & 162 & 152.997554033691 & 9.00244596630856 \tabularnewline
57 & 161 & 161.999404875652 & -0.999404875652431 \tabularnewline
58 & 149 & 161.000066067619 & -12.0000660676195 \tabularnewline
59 & 139 & 149.000793287904 & -10.0007932879037 \tabularnewline
60 & 135 & 139.000661122055 & -4.00066112205536 \tabularnewline
61 & 130 & 135.00026447155 & -5.00026447155017 \tabularnewline
62 & 127 & 130.00033055229 & -3.00033055229017 \tabularnewline
63 & 122 & 127.000198342736 & -5.00019834273586 \tabularnewline
64 & 117 & 122.000330547919 & -5.00033054791859 \tabularnewline
65 & 112 & 117.000330556658 & -5.00033055665828 \tabularnewline
66 & 113 & 112.000330556659 & 0.999669443341148 \tabularnewline
67 & 149 & 112.999933914891 & 36.0000660851093 \tabularnewline
68 & 157 & 148.997620145023 & 8.00237985497736 \tabularnewline
69 & 157 & 156.999470986984 & 0.000529013015807323 \tabularnewline
70 & 147 & 156.999999965029 & -9.99999996502856 \tabularnewline
71 & 137 & 147.000661069611 & -10.0006610696112 \tabularnewline
72 & 132 & 137.000661113315 & -5.00066111331483 \tabularnewline
73 & 125 & 132.000330578511 & -7.00033057851095 \tabularnewline
74 & 123 & 125.000462770583 & -2.000462770583 \tabularnewline
75 & 117 & 123.000132244515 & -6.00013224451506 \tabularnewline
76 & 114 & 117.00039665051 & -3.0003966505104 \tabularnewline
77 & 111 & 114.000198347105 & -3.00019834710541 \tabularnewline
78 & 112 & 111.000198333996 & 0.999801666003819 \tabularnewline
79 & 144 & 111.99993390615 & 32.0000660938501 \tabularnewline
80 & 150 & 143.997884572867 & 6.00211542713254 \tabularnewline
81 & 149 & 149.999603218387 & -0.999603218387421 \tabularnewline
82 & 134 & 149.000066080731 & -15.0000660807313 \tabularnewline
83 & 123 & 134.000991608789 & -11.0009916087887 \tabularnewline
84 & 116 & 123.000727242127 & -7.00072724212711 \tabularnewline
85 & 117 & 116.000462796805 & 0.999537203194762 \tabularnewline
86 & 111 & 116.999933923633 & -5.99993392363274 \tabularnewline
87 & 105 & 111.0003966374 & -6.0003966374 \tabularnewline
88 & 102 & 105.000396667989 & -3.00039666798861 \tabularnewline
89 & 95 & 102.000198347107 & -7.00019834710658 \tabularnewline
90 & 93 & 95.0004627618416 & -2.00046276184159 \tabularnewline
91 & 124 & 93.0001322445145 & 30.9998677554855 \tabularnewline
92 & 130 & 123.99795069294 & 6.00204930705962 \tabularnewline
93 & 124 & 129.999603222758 & -5.99960322275842 \tabularnewline
94 & 115 & 124.000396615538 & -9.00039661553838 \tabularnewline
95 & 106 & 115.000594988871 & -9.00059498887121 \tabularnewline
96 & 105 & 106.000595001985 & -1.00059500198508 \tabularnewline
97 & 105 & 105.000066146295 & -6.61462951256908e-05 \tabularnewline
98 & 101 & 105.000000004373 & -4.00000000437274 \tabularnewline
99 & 95 & 101.000264427846 & -6.00026442784569 \tabularnewline
100 & 93 & 95.0003966592486 & -2.00039665924864 \tabularnewline
101 & 84 & 93.0001322401446 & -9.00013224014464 \tabularnewline
102 & 87 & 84.0005949713942 & 2.99940502860584 \tabularnewline
103 & 116 & 86.9998017184477 & 29.0001982815523 \tabularnewline
104 & 120 & 115.998082885013 & 4.00191711498699 \tabularnewline
105 & 117 & 119.99973544542 & -2.99973544541994 \tabularnewline
106 & 109 & 117.000198303395 & -8.00019830339515 \tabularnewline
107 & 105 & 109.0005288688 & -4.00052886880005 \tabularnewline
108 & 107 & 105.000264462807 & 1.99973553719268 \tabularnewline
109 & 109 & 106.99986780356 & 2.00013219643986 \tabularnewline
110 & 109 & 108.999867777338 & 0.000132222661804349 \tabularnewline
111 & 108 & 108.999999991259 & -0.999999991259159 \tabularnewline
112 & 107 & 108.000066106961 & -1.00006610696077 \tabularnewline
113 & 99 & 107.000066111331 & -8.00006611133148 \tabularnewline
114 & 103 & 99.0005288600612 & 3.99947113993876 \tabularnewline
115 & 131 & 102.999735607116 & 28.0002643928841 \tabularnewline
116 & 137 & 130.998148987604 & 6.00185101239606 \tabularnewline
117 & 135 & 136.999603235867 & -1.99960323586708 \tabularnewline
118 & 124 & 135.000132187694 & -11.0001321876938 \tabularnewline
119 & 118 & 124.000727185313 & -6.00072718531339 \tabularnewline
120 & 121 & 118.00039668984 & 2.99960331015988 \tabularnewline
121 & 121 & 120.99980170534 & 0.000198294660094689 \tabularnewline
122 & 118 & 120.999999986891 & -2.99999998689134 \tabularnewline
123 & 113 & 118.000198320883 & -5.00019832088319 \tabularnewline
124 & 107 & 113.000330547917 & -6.00033054791714 \tabularnewline
125 & 100 & 107.00039666362 & -7.00039666361963 \tabularnewline
126 & 102 & 100.000462774952 & 1.99953722504831 \tabularnewline
127 & 130 & 101.99986781667 & 28.0001321833301 \tabularnewline
128 & 136 & 129.998148996344 & 6.0018510036561 \tabularnewline
129 & 133 & 135.999603235868 & -2.99960323586765 \tabularnewline
130 & 120 & 133.000198294655 & -13.0001982946552 \tabularnewline
131 & 112 & 120.000859403606 & -8.00085940360623 \tabularnewline
132 & 109 & 112.000528912503 & -3.00052891250337 \tabularnewline
133 & 110 & 109.000198355849 & 0.999801644151148 \tabularnewline
134 & 106 & 109.999933906151 & -3.99993390615136 \tabularnewline
135 & 102 & 106.000264423476 & -4.00026442347614 \tabularnewline
136 & 98 & 102.000264445326 & -4.00026444532564 \tabularnewline
137 & 92 & 98.0002644453271 & -6.00026444532709 \tabularnewline
138 & 92 & 92.0003966592498 & -0.00039665924978749 \tabularnewline
139 & 120 & 92.0000000262219 & 27.9999999737781 \tabularnewline
140 & 127 & 119.998149005084 & 7.00185099491613 \tabularnewline
141 & 124 & 126.999537128907 & -2.99953712890689 \tabularnewline
142 & 114 & 124.000198290285 & -10.0001982902851 \tabularnewline
143 & 108 & 114.000661082722 & -6.00066108272189 \tabularnewline
144 & 106 & 108.00039668547 & -2.00039668547028 \tabularnewline
145 & 111 & 106.000132240146 & 4.99986775985363 \tabularnewline
146 & 110 & 110.999669473935 & -0.999669473935228 \tabularnewline
147 & 104 & 110.000066085111 & -6.00006608511127 \tabularnewline
148 & 100 & 104.000396646137 & -4.00039664613679 \tabularnewline
149 & 96 & 100.000264454066 & -4.00026445406648 \tabularnewline
150 & 98 & 96.0002644453277 & 1.99973555467234 \tabularnewline
151 & 122 & 97.999867803559 & 24.000132196441 \tabularnewline
152 & 134 & 121.998413424188 & 12.0015865758115 \tabularnewline
153 & 133 & 133.99920661158 & -0.999206611580064 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192064&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]2[/C][C]111[/C][C]116[/C][C]-5[/C][/ROW]
[ROW][C]3[/C][C]104[/C][C]111.000330534807[/C][C]-7.00033053480676[/C][/ROW]
[ROW][C]4[/C][C]100[/C][C]104.00046277058[/C][C]-4.00046277058011[/C][/ROW]
[ROW][C]5[/C][C]93[/C][C]100.000264458438[/C][C]-7.00026445843777[/C][/ROW]
[ROW][C]6[/C][C]91[/C][C]93.000462766212[/C][C]-2.00046276621201[/C][/ROW]
[ROW][C]7[/C][C]119[/C][C]91.0001322445148[/C][C]27.9998677554852[/C][/ROW]
[ROW][C]8[/C][C]139[/C][C]118.998149013824[/C][C]20.0018509861756[/C][/ROW]
[ROW][C]9[/C][C]134[/C][C]138.99867773841[/C][C]-4.9986777384099[/C][/ROW]
[ROW][C]10[/C][C]124[/C][C]134.000330447396[/C][C]-10.0003304473961[/C][/ROW]
[ROW][C]11[/C][C]113[/C][C]124.000661091458[/C][C]-11.0006610914584[/C][/ROW]
[ROW][C]12[/C][C]109[/C][C]113.000727220278[/C][C]-4.00072722027762[/C][/ROW]
[ROW][C]13[/C][C]109[/C][C]109.00026447592[/C][C]-0.000264475919735219[/C][/ROW]
[ROW][C]14[/C][C]106[/C][C]109.000000017484[/C][C]-3.0000000174837[/C][/ROW]
[ROW][C]15[/C][C]101[/C][C]106.000198320885[/C][C]-5.00019832088522[/C][/ROW]
[ROW][C]16[/C][C]98[/C][C]101.000330547917[/C][C]-3.00033054791714[/C][/ROW]
[ROW][C]17[/C][C]93[/C][C]98.0001983427356[/C][C]-5.00019834273557[/C][/ROW]
[ROW][C]18[/C][C]91[/C][C]93.0003305479186[/C][C]-2.00033054791859[/C][/ROW]
[ROW][C]19[/C][C]122[/C][C]91.0001322357742[/C][C]30.9998677642258[/C][/ROW]
[ROW][C]20[/C][C]139[/C][C]121.99795069294[/C][C]17.0020493070602[/C][/ROW]
[ROW][C]21[/C][C]140[/C][C]138.998876046184[/C][C]1.00112395381643[/C][/ROW]
[ROW][C]22[/C][C]132[/C][C]139.999933818737[/C][C]-7.99993381873747[/C][/ROW]
[ROW][C]23[/C][C]117[/C][C]132.000528851316[/C][C]-15.0005288513158[/C][/ROW]
[ROW][C]24[/C][C]114[/C][C]117.000991639381[/C][C]-3.00099163938103[/C][/ROW]
[ROW][C]25[/C][C]113[/C][C]114.000198386438[/C][C]-1.00019838643833[/C][/ROW]
[ROW][C]26[/C][C]110[/C][C]113.000066120076[/C][C]-3.00006612007607[/C][/ROW]
[ROW][C]27[/C][C]107[/C][C]110.000198325255[/C][C]-3.00019832525506[/C][/ROW]
[ROW][C]28[/C][C]103[/C][C]107.000198333995[/C][C]-4.00019833399473[/C][/ROW]
[ROW][C]29[/C][C]98[/C][C]103.000264440957[/C][C]-5.00026444095667[/C][/ROW]
[ROW][C]30[/C][C]98[/C][C]98.0003305522881[/C][C]-0.000330552288147601[/C][/ROW]
[ROW][C]31[/C][C]137[/C][C]98.0000000218518[/C][C]38.9999999781482[/C][/ROW]
[ROW][C]32[/C][C]148[/C][C]136.997421828509[/C][C]11.0025781714913[/C][/ROW]
[ROW][C]33[/C][C]147[/C][C]147.99927265299[/C][C]-0.999272652990044[/C][/ROW]
[ROW][C]34[/C][C]139[/C][C]147.000066058879[/C][C]-8.00006605887864[/C][/ROW]
[ROW][C]35[/C][C]130[/C][C]139.000528860058[/C][C]-9.00052886005776[/C][/ROW]
[ROW][C]36[/C][C]128[/C][C]130.000594997613[/C][C]-2.00059499761349[/C][/ROW]
[ROW][C]37[/C][C]127[/C][C]128.000132253256[/C][C]-1.0001322532562[/C][/ROW]
[ROW][C]38[/C][C]123[/C][C]127.000066115704[/C][C]-4.00006611570421[/C][/ROW]
[ROW][C]39[/C][C]118[/C][C]123.000264432216[/C][C]-5.00026443221611[/C][/ROW]
[ROW][C]40[/C][C]114[/C][C]118.000330552288[/C][C]-4.00033055228756[/C][/ROW]
[ROW][C]41[/C][C]108[/C][C]114.000264449697[/C][C]-6.00026444969721[/C][/ROW]
[ROW][C]42[/C][C]111[/C][C]108.00039665925[/C][C]2.99960334074993[/C][/ROW]
[ROW][C]43[/C][C]151[/C][C]110.999801705338[/C][C]40.0001982946621[/C][/ROW]
[ROW][C]44[/C][C]159[/C][C]150.997355708437[/C][C]8.00264429156275[/C][/ROW]
[ROW][C]45[/C][C]158[/C][C]158.999470969503[/C][C]-0.999470969503108[/C][/ROW]
[ROW][C]46[/C][C]148[/C][C]158.000066071989[/C][C]-10.0000660719888[/C][/ROW]
[ROW][C]47[/C][C]138[/C][C]148.000661073981[/C][C]-10.0006610739813[/C][/ROW]
[ROW][C]48[/C][C]137[/C][C]138.000661113315[/C][C]-1.00066111331512[/C][/ROW]
[ROW][C]49[/C][C]136[/C][C]137.000066150666[/C][C]-1.00006615066553[/C][/ROW]
[ROW][C]50[/C][C]133[/C][C]136.000066111334[/C][C]-3.00006611133438[/C][/ROW]
[ROW][C]51[/C][C]126[/C][C]133.000198325254[/C][C]-7.00019832525447[/C][/ROW]
[ROW][C]52[/C][C]120[/C][C]126.00046276184[/C][C]-6.00046276184014[/C][/ROW]
[ROW][C]53[/C][C]114[/C][C]120.00039667236[/C][C]-6.00039667235988[/C][/ROW]
[ROW][C]54[/C][C]116[/C][C]114.000396667991[/C][C]1.99960333200909[/C][/ROW]
[ROW][C]55[/C][C]153[/C][C]115.9998678123[/C][C]37.0001321877002[/C][/ROW]
[ROW][C]56[/C][C]162[/C][C]152.997554033691[/C][C]9.00244596630856[/C][/ROW]
[ROW][C]57[/C][C]161[/C][C]161.999404875652[/C][C]-0.999404875652431[/C][/ROW]
[ROW][C]58[/C][C]149[/C][C]161.000066067619[/C][C]-12.0000660676195[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]149.000793287904[/C][C]-10.0007932879037[/C][/ROW]
[ROW][C]60[/C][C]135[/C][C]139.000661122055[/C][C]-4.00066112205536[/C][/ROW]
[ROW][C]61[/C][C]130[/C][C]135.00026447155[/C][C]-5.00026447155017[/C][/ROW]
[ROW][C]62[/C][C]127[/C][C]130.00033055229[/C][C]-3.00033055229017[/C][/ROW]
[ROW][C]63[/C][C]122[/C][C]127.000198342736[/C][C]-5.00019834273586[/C][/ROW]
[ROW][C]64[/C][C]117[/C][C]122.000330547919[/C][C]-5.00033054791859[/C][/ROW]
[ROW][C]65[/C][C]112[/C][C]117.000330556658[/C][C]-5.00033055665828[/C][/ROW]
[ROW][C]66[/C][C]113[/C][C]112.000330556659[/C][C]0.999669443341148[/C][/ROW]
[ROW][C]67[/C][C]149[/C][C]112.999933914891[/C][C]36.0000660851093[/C][/ROW]
[ROW][C]68[/C][C]157[/C][C]148.997620145023[/C][C]8.00237985497736[/C][/ROW]
[ROW][C]69[/C][C]157[/C][C]156.999470986984[/C][C]0.000529013015807323[/C][/ROW]
[ROW][C]70[/C][C]147[/C][C]156.999999965029[/C][C]-9.99999996502856[/C][/ROW]
[ROW][C]71[/C][C]137[/C][C]147.000661069611[/C][C]-10.0006610696112[/C][/ROW]
[ROW][C]72[/C][C]132[/C][C]137.000661113315[/C][C]-5.00066111331483[/C][/ROW]
[ROW][C]73[/C][C]125[/C][C]132.000330578511[/C][C]-7.00033057851095[/C][/ROW]
[ROW][C]74[/C][C]123[/C][C]125.000462770583[/C][C]-2.000462770583[/C][/ROW]
[ROW][C]75[/C][C]117[/C][C]123.000132244515[/C][C]-6.00013224451506[/C][/ROW]
[ROW][C]76[/C][C]114[/C][C]117.00039665051[/C][C]-3.0003966505104[/C][/ROW]
[ROW][C]77[/C][C]111[/C][C]114.000198347105[/C][C]-3.00019834710541[/C][/ROW]
[ROW][C]78[/C][C]112[/C][C]111.000198333996[/C][C]0.999801666003819[/C][/ROW]
[ROW][C]79[/C][C]144[/C][C]111.99993390615[/C][C]32.0000660938501[/C][/ROW]
[ROW][C]80[/C][C]150[/C][C]143.997884572867[/C][C]6.00211542713254[/C][/ROW]
[ROW][C]81[/C][C]149[/C][C]149.999603218387[/C][C]-0.999603218387421[/C][/ROW]
[ROW][C]82[/C][C]134[/C][C]149.000066080731[/C][C]-15.0000660807313[/C][/ROW]
[ROW][C]83[/C][C]123[/C][C]134.000991608789[/C][C]-11.0009916087887[/C][/ROW]
[ROW][C]84[/C][C]116[/C][C]123.000727242127[/C][C]-7.00072724212711[/C][/ROW]
[ROW][C]85[/C][C]117[/C][C]116.000462796805[/C][C]0.999537203194762[/C][/ROW]
[ROW][C]86[/C][C]111[/C][C]116.999933923633[/C][C]-5.99993392363274[/C][/ROW]
[ROW][C]87[/C][C]105[/C][C]111.0003966374[/C][C]-6.0003966374[/C][/ROW]
[ROW][C]88[/C][C]102[/C][C]105.000396667989[/C][C]-3.00039666798861[/C][/ROW]
[ROW][C]89[/C][C]95[/C][C]102.000198347107[/C][C]-7.00019834710658[/C][/ROW]
[ROW][C]90[/C][C]93[/C][C]95.0004627618416[/C][C]-2.00046276184159[/C][/ROW]
[ROW][C]91[/C][C]124[/C][C]93.0001322445145[/C][C]30.9998677554855[/C][/ROW]
[ROW][C]92[/C][C]130[/C][C]123.99795069294[/C][C]6.00204930705962[/C][/ROW]
[ROW][C]93[/C][C]124[/C][C]129.999603222758[/C][C]-5.99960322275842[/C][/ROW]
[ROW][C]94[/C][C]115[/C][C]124.000396615538[/C][C]-9.00039661553838[/C][/ROW]
[ROW][C]95[/C][C]106[/C][C]115.000594988871[/C][C]-9.00059498887121[/C][/ROW]
[ROW][C]96[/C][C]105[/C][C]106.000595001985[/C][C]-1.00059500198508[/C][/ROW]
[ROW][C]97[/C][C]105[/C][C]105.000066146295[/C][C]-6.61462951256908e-05[/C][/ROW]
[ROW][C]98[/C][C]101[/C][C]105.000000004373[/C][C]-4.00000000437274[/C][/ROW]
[ROW][C]99[/C][C]95[/C][C]101.000264427846[/C][C]-6.00026442784569[/C][/ROW]
[ROW][C]100[/C][C]93[/C][C]95.0003966592486[/C][C]-2.00039665924864[/C][/ROW]
[ROW][C]101[/C][C]84[/C][C]93.0001322401446[/C][C]-9.00013224014464[/C][/ROW]
[ROW][C]102[/C][C]87[/C][C]84.0005949713942[/C][C]2.99940502860584[/C][/ROW]
[ROW][C]103[/C][C]116[/C][C]86.9998017184477[/C][C]29.0001982815523[/C][/ROW]
[ROW][C]104[/C][C]120[/C][C]115.998082885013[/C][C]4.00191711498699[/C][/ROW]
[ROW][C]105[/C][C]117[/C][C]119.99973544542[/C][C]-2.99973544541994[/C][/ROW]
[ROW][C]106[/C][C]109[/C][C]117.000198303395[/C][C]-8.00019830339515[/C][/ROW]
[ROW][C]107[/C][C]105[/C][C]109.0005288688[/C][C]-4.00052886880005[/C][/ROW]
[ROW][C]108[/C][C]107[/C][C]105.000264462807[/C][C]1.99973553719268[/C][/ROW]
[ROW][C]109[/C][C]109[/C][C]106.99986780356[/C][C]2.00013219643986[/C][/ROW]
[ROW][C]110[/C][C]109[/C][C]108.999867777338[/C][C]0.000132222661804349[/C][/ROW]
[ROW][C]111[/C][C]108[/C][C]108.999999991259[/C][C]-0.999999991259159[/C][/ROW]
[ROW][C]112[/C][C]107[/C][C]108.000066106961[/C][C]-1.00006610696077[/C][/ROW]
[ROW][C]113[/C][C]99[/C][C]107.000066111331[/C][C]-8.00006611133148[/C][/ROW]
[ROW][C]114[/C][C]103[/C][C]99.0005288600612[/C][C]3.99947113993876[/C][/ROW]
[ROW][C]115[/C][C]131[/C][C]102.999735607116[/C][C]28.0002643928841[/C][/ROW]
[ROW][C]116[/C][C]137[/C][C]130.998148987604[/C][C]6.00185101239606[/C][/ROW]
[ROW][C]117[/C][C]135[/C][C]136.999603235867[/C][C]-1.99960323586708[/C][/ROW]
[ROW][C]118[/C][C]124[/C][C]135.000132187694[/C][C]-11.0001321876938[/C][/ROW]
[ROW][C]119[/C][C]118[/C][C]124.000727185313[/C][C]-6.00072718531339[/C][/ROW]
[ROW][C]120[/C][C]121[/C][C]118.00039668984[/C][C]2.99960331015988[/C][/ROW]
[ROW][C]121[/C][C]121[/C][C]120.99980170534[/C][C]0.000198294660094689[/C][/ROW]
[ROW][C]122[/C][C]118[/C][C]120.999999986891[/C][C]-2.99999998689134[/C][/ROW]
[ROW][C]123[/C][C]113[/C][C]118.000198320883[/C][C]-5.00019832088319[/C][/ROW]
[ROW][C]124[/C][C]107[/C][C]113.000330547917[/C][C]-6.00033054791714[/C][/ROW]
[ROW][C]125[/C][C]100[/C][C]107.00039666362[/C][C]-7.00039666361963[/C][/ROW]
[ROW][C]126[/C][C]102[/C][C]100.000462774952[/C][C]1.99953722504831[/C][/ROW]
[ROW][C]127[/C][C]130[/C][C]101.99986781667[/C][C]28.0001321833301[/C][/ROW]
[ROW][C]128[/C][C]136[/C][C]129.998148996344[/C][C]6.0018510036561[/C][/ROW]
[ROW][C]129[/C][C]133[/C][C]135.999603235868[/C][C]-2.99960323586765[/C][/ROW]
[ROW][C]130[/C][C]120[/C][C]133.000198294655[/C][C]-13.0001982946552[/C][/ROW]
[ROW][C]131[/C][C]112[/C][C]120.000859403606[/C][C]-8.00085940360623[/C][/ROW]
[ROW][C]132[/C][C]109[/C][C]112.000528912503[/C][C]-3.00052891250337[/C][/ROW]
[ROW][C]133[/C][C]110[/C][C]109.000198355849[/C][C]0.999801644151148[/C][/ROW]
[ROW][C]134[/C][C]106[/C][C]109.999933906151[/C][C]-3.99993390615136[/C][/ROW]
[ROW][C]135[/C][C]102[/C][C]106.000264423476[/C][C]-4.00026442347614[/C][/ROW]
[ROW][C]136[/C][C]98[/C][C]102.000264445326[/C][C]-4.00026444532564[/C][/ROW]
[ROW][C]137[/C][C]92[/C][C]98.0002644453271[/C][C]-6.00026444532709[/C][/ROW]
[ROW][C]138[/C][C]92[/C][C]92.0003966592498[/C][C]-0.00039665924978749[/C][/ROW]
[ROW][C]139[/C][C]120[/C][C]92.0000000262219[/C][C]27.9999999737781[/C][/ROW]
[ROW][C]140[/C][C]127[/C][C]119.998149005084[/C][C]7.00185099491613[/C][/ROW]
[ROW][C]141[/C][C]124[/C][C]126.999537128907[/C][C]-2.99953712890689[/C][/ROW]
[ROW][C]142[/C][C]114[/C][C]124.000198290285[/C][C]-10.0001982902851[/C][/ROW]
[ROW][C]143[/C][C]108[/C][C]114.000661082722[/C][C]-6.00066108272189[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]108.00039668547[/C][C]-2.00039668547028[/C][/ROW]
[ROW][C]145[/C][C]111[/C][C]106.000132240146[/C][C]4.99986775985363[/C][/ROW]
[ROW][C]146[/C][C]110[/C][C]110.999669473935[/C][C]-0.999669473935228[/C][/ROW]
[ROW][C]147[/C][C]104[/C][C]110.000066085111[/C][C]-6.00006608511127[/C][/ROW]
[ROW][C]148[/C][C]100[/C][C]104.000396646137[/C][C]-4.00039664613679[/C][/ROW]
[ROW][C]149[/C][C]96[/C][C]100.000264454066[/C][C]-4.00026445406648[/C][/ROW]
[ROW][C]150[/C][C]98[/C][C]96.0002644453277[/C][C]1.99973555467234[/C][/ROW]
[ROW][C]151[/C][C]122[/C][C]97.999867803559[/C][C]24.000132196441[/C][/ROW]
[ROW][C]152[/C][C]134[/C][C]121.998413424188[/C][C]12.0015865758115[/C][/ROW]
[ROW][C]153[/C][C]133[/C][C]133.99920661158[/C][C]-0.999206611580064[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192064&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192064&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
2111116-5
3104111.000330534807-7.00033053480676
4100104.00046277058-4.00046277058011
593100.000264458438-7.00026445843777
69193.000462766212-2.00046276621201
711991.000132244514827.9998677554852
8139118.99814901382420.0018509861756
9134138.99867773841-4.9986777384099
10124134.000330447396-10.0003304473961
11113124.000661091458-11.0006610914584
12109113.000727220278-4.00072722027762
13109109.00026447592-0.000264475919735219
14106109.000000017484-3.0000000174837
15101106.000198320885-5.00019832088522
1698101.000330547917-3.00033054791714
179398.0001983427356-5.00019834273557
189193.0003305479186-2.00033054791859
1912291.000132235774230.9998677642258
20139121.9979506929417.0020493070602
21140138.9988760461841.00112395381643
22132139.999933818737-7.99993381873747
23117132.000528851316-15.0005288513158
24114117.000991639381-3.00099163938103
25113114.000198386438-1.00019838643833
26110113.000066120076-3.00006612007607
27107110.000198325255-3.00019832525506
28103107.000198333995-4.00019833399473
2998103.000264440957-5.00026444095667
309898.0003305522881-0.000330552288147601
3113798.000000021851838.9999999781482
32148136.99742182850911.0025781714913
33147147.99927265299-0.999272652990044
34139147.000066058879-8.00006605887864
35130139.000528860058-9.00052886005776
36128130.000594997613-2.00059499761349
37127128.000132253256-1.0001322532562
38123127.000066115704-4.00006611570421
39118123.000264432216-5.00026443221611
40114118.000330552288-4.00033055228756
41108114.000264449697-6.00026444969721
42111108.000396659252.99960334074993
43151110.99980170533840.0001982946621
44159150.9973557084378.00264429156275
45158158.999470969503-0.999470969503108
46148158.000066071989-10.0000660719888
47138148.000661073981-10.0006610739813
48137138.000661113315-1.00066111331512
49136137.000066150666-1.00006615066553
50133136.000066111334-3.00006611133438
51126133.000198325254-7.00019832525447
52120126.00046276184-6.00046276184014
53114120.00039667236-6.00039667235988
54116114.0003966679911.99960333200909
55153115.999867812337.0001321877002
56162152.9975540336919.00244596630856
57161161.999404875652-0.999404875652431
58149161.000066067619-12.0000660676195
59139149.000793287904-10.0007932879037
60135139.000661122055-4.00066112205536
61130135.00026447155-5.00026447155017
62127130.00033055229-3.00033055229017
63122127.000198342736-5.00019834273586
64117122.000330547919-5.00033054791859
65112117.000330556658-5.00033055665828
66113112.0003305566590.999669443341148
67149112.99993391489136.0000660851093
68157148.9976201450238.00237985497736
69157156.9994709869840.000529013015807323
70147156.999999965029-9.99999996502856
71137147.000661069611-10.0006610696112
72132137.000661113315-5.00066111331483
73125132.000330578511-7.00033057851095
74123125.000462770583-2.000462770583
75117123.000132244515-6.00013224451506
76114117.00039665051-3.0003966505104
77111114.000198347105-3.00019834710541
78112111.0001983339960.999801666003819
79144111.9999339061532.0000660938501
80150143.9978845728676.00211542713254
81149149.999603218387-0.999603218387421
82134149.000066080731-15.0000660807313
83123134.000991608789-11.0009916087887
84116123.000727242127-7.00072724212711
85117116.0004627968050.999537203194762
86111116.999933923633-5.99993392363274
87105111.0003966374-6.0003966374
88102105.000396667989-3.00039666798861
8995102.000198347107-7.00019834710658
909395.0004627618416-2.00046276184159
9112493.000132244514530.9998677554855
92130123.997950692946.00204930705962
93124129.999603222758-5.99960322275842
94115124.000396615538-9.00039661553838
95106115.000594988871-9.00059498887121
96105106.000595001985-1.00059500198508
97105105.000066146295-6.61462951256908e-05
98101105.000000004373-4.00000000437274
9995101.000264427846-6.00026442784569
1009395.0003966592486-2.00039665924864
1018493.0001322401446-9.00013224014464
1028784.00059497139422.99940502860584
10311686.999801718447729.0001982815523
104120115.9980828850134.00191711498699
105117119.99973544542-2.99973544541994
106109117.000198303395-8.00019830339515
107105109.0005288688-4.00052886880005
108107105.0002644628071.99973553719268
109109106.999867803562.00013219643986
110109108.9998677773380.000132222661804349
111108108.999999991259-0.999999991259159
112107108.000066106961-1.00006610696077
11399107.000066111331-8.00006611133148
11410399.00052886006123.99947113993876
115131102.99973560711628.0002643928841
116137130.9981489876046.00185101239606
117135136.999603235867-1.99960323586708
118124135.000132187694-11.0001321876938
119118124.000727185313-6.00072718531339
120121118.000396689842.99960331015988
121121120.999801705340.000198294660094689
122118120.999999986891-2.99999998689134
123113118.000198320883-5.00019832088319
124107113.000330547917-6.00033054791714
125100107.00039666362-7.00039666361963
126102100.0004627749521.99953722504831
127130101.9998678166728.0001321833301
128136129.9981489963446.0018510036561
129133135.999603235868-2.99960323586765
130120133.000198294655-13.0001982946552
131112120.000859403606-8.00085940360623
132109112.000528912503-3.00052891250337
133110109.0001983558490.999801644151148
134106109.999933906151-3.99993390615136
135102106.000264423476-4.00026442347614
13698102.000264445326-4.00026444532564
1379298.0002644453271-6.00026444532709
1389292.0003966592498-0.00039665924978749
13912092.000000026221927.9999999737781
140127119.9981490050847.00185099491613
141124126.999537128907-2.99953712890689
142114124.000198290285-10.0001982902851
143108114.000661082722-6.00066108272189
144106108.00039668547-2.00039668547028
145111106.0001322401464.99986775985363
146110110.999669473935-0.999669473935228
147104110.000066085111-6.00006608511127
148100104.000396646137-4.00039664613679
14996100.000264454066-4.00026445406648
1509896.00026444532771.99973555467234
15112297.99986780355924.000132196441
152134121.99841342418812.0015865758115
153133133.99920661158-0.999206611580064







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
154133.000066054513111.178362088122154.821770020903
155133.000066054513102.140536382877163.859595726148
156133.00006605451395.2054317910049170.794700318021
157133.00006605451389.3588219536614176.641310155364
158133.00006605451384.2078331252046181.792298983821
159133.00006605451379.5509706291865186.449161479839
160133.00006605451375.2685355937376190.731596515288
161133.00006605451371.2825368030823194.717595305943
162133.00006605451367.5388009853212198.461331123704
163133.00006605451363.9978846975678202.002247411458
164133.00006605451360.6300112004884205.370120908537
165133.00006605451357.4120468508567208.588085258169

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
154 & 133.000066054513 & 111.178362088122 & 154.821770020903 \tabularnewline
155 & 133.000066054513 & 102.140536382877 & 163.859595726148 \tabularnewline
156 & 133.000066054513 & 95.2054317910049 & 170.794700318021 \tabularnewline
157 & 133.000066054513 & 89.3588219536614 & 176.641310155364 \tabularnewline
158 & 133.000066054513 & 84.2078331252046 & 181.792298983821 \tabularnewline
159 & 133.000066054513 & 79.5509706291865 & 186.449161479839 \tabularnewline
160 & 133.000066054513 & 75.2685355937376 & 190.731596515288 \tabularnewline
161 & 133.000066054513 & 71.2825368030823 & 194.717595305943 \tabularnewline
162 & 133.000066054513 & 67.5388009853212 & 198.461331123704 \tabularnewline
163 & 133.000066054513 & 63.9978846975678 & 202.002247411458 \tabularnewline
164 & 133.000066054513 & 60.6300112004884 & 205.370120908537 \tabularnewline
165 & 133.000066054513 & 57.4120468508567 & 208.588085258169 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192064&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]133.000066054513[/C][C]111.178362088122[/C][C]154.821770020903[/C][/ROW]
[ROW][C]155[/C][C]133.000066054513[/C][C]102.140536382877[/C][C]163.859595726148[/C][/ROW]
[ROW][C]156[/C][C]133.000066054513[/C][C]95.2054317910049[/C][C]170.794700318021[/C][/ROW]
[ROW][C]157[/C][C]133.000066054513[/C][C]89.3588219536614[/C][C]176.641310155364[/C][/ROW]
[ROW][C]158[/C][C]133.000066054513[/C][C]84.2078331252046[/C][C]181.792298983821[/C][/ROW]
[ROW][C]159[/C][C]133.000066054513[/C][C]79.5509706291865[/C][C]186.449161479839[/C][/ROW]
[ROW][C]160[/C][C]133.000066054513[/C][C]75.2685355937376[/C][C]190.731596515288[/C][/ROW]
[ROW][C]161[/C][C]133.000066054513[/C][C]71.2825368030823[/C][C]194.717595305943[/C][/ROW]
[ROW][C]162[/C][C]133.000066054513[/C][C]67.5388009853212[/C][C]198.461331123704[/C][/ROW]
[ROW][C]163[/C][C]133.000066054513[/C][C]63.9978846975678[/C][C]202.002247411458[/C][/ROW]
[ROW][C]164[/C][C]133.000066054513[/C][C]60.6300112004884[/C][C]205.370120908537[/C][/ROW]
[ROW][C]165[/C][C]133.000066054513[/C][C]57.4120468508567[/C][C]208.588085258169[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192064&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192064&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
154133.000066054513111.178362088122154.821770020903
155133.000066054513102.140536382877163.859595726148
156133.00006605451395.2054317910049170.794700318021
157133.00006605451389.3588219536614176.641310155364
158133.00006605451384.2078331252046181.792298983821
159133.00006605451379.5509706291865186.449161479839
160133.00006605451375.2685355937376190.731596515288
161133.00006605451371.2825368030823194.717595305943
162133.00006605451367.5388009853212198.461331123704
163133.00006605451363.9978846975678202.002247411458
164133.00006605451360.6300112004884205.370120908537
165133.00006605451357.4120468508567208.588085258169



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