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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 09 Nov 2012 12:37:15 -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/09/t1352482706bf2n08447uuw20y.htm/, Retrieved Mon, 29 Apr 2024 10:25:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=187204, Retrieved Mon, 29 Apr 2024 10:25:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
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 17:56:43] [74be16979710d4c4e7c6647856088456]
- RM D    [Exponential Smoothing] [triple exponentio...] [2012-11-09 17:37:15] [d41d8cd98f00b204e9800998ecf8427e] [Current]
- R P       [Exponential Smoothing] [double exponentia...] [2012-11-27 22:55:27] [93b3e8d0ee7e4ccb504c2c04707a9358]
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Dataseries X:
14
14
15
13
8
7
3
3
4
4
0
-4
-14
-18
-8
-1
1
2
0
1
0
-1
-3
-3
-3
-4
-8
-9
-13
-18
-11
-9
-10
-13
-11
-5
-15
-6
-6
-3
-1
-3
-4
-6
0
-4
-2
-2
-6
-7
-6
-6
-3
-2
-5
-11
-11
-11
-10
-14
-8
-9
-5
-1
-2
-5
-4
-6
-2
-2
-2
-2
2
1
-8
-1
1
-1
2
2
1
-1
-2
-2
-1
-8
-4
-6
-3
-3
-7
-9
-11
-13
-11
-9
-17
-22
-25
-20
-24
-24
-22
-19
-18
-17
-11
-11
-12
-10
-15
-15
-15
-13
-8
-13
-9
-7
-4
-4
-2
0
-2
-3
1
-2
-1
1
-3
-4
-9
-9
-7
-14
-12
-16
-20
-12
-12
-10
-10
-13
-16




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=187204&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=187204&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187204&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
alpha0.677741059082967
beta0.00622648790347763
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.677741059082967 \tabularnewline
beta & 0.00622648790347763 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187204&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]0.677741059082967[/C][/ROW]
[ROW][C]beta[/C][C]0.00622648790347763[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187204&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187204&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
alpha0.677741059082967
beta0.00622648790347763
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13-14-7.54193376068376-6.45806623931624
14-18-16.4561355549609-1.54386444503908
15-8-8.004629379341290.0046293793412886
16-1-1.378625823469490.37862582346949
1710.4607815925932080.539218407406792
1821.161304669408790.838695330591211
190-7.306665197255737.30666519725573
201-0.5685259134334651.56852591343347
2103.07892653712026-3.07892653712026
22-11.8136167365152-2.8136167365152
23-3-3.950421697626040.950421697626036
24-3-7.534406008261214.53440600826121
25-3-16.918078298998913.9180782989989
26-4-10.3435019951056.34350199510497
27-84.08127936241532-12.0812793624153
28-92.71435525481353-11.7143552548135
29-13-3.56376124066696-9.43623875933304
30-18-9.54296835249328-8.45703164750672
31-11-22.281362817421411.2813628174214
32-9-14.73649130637365.73649130637356
33-10-9.78224894882889-0.217751051171113
34-13-9.03117845047518-3.96882154952482
35-11-14.37828074166893.37828074166893
36-5-15.164718031974610.1647180319746
37-15-17.68764850660782.68764850660784
38-6-21.191886446858415.1918864468584
39-6-6.696918382788670.696918382788672
40-30.77945845180429-3.77945845180429
41-10.711522663344319-1.71152266334432
42-30.414060889939686-3.41406088993969
43-4-2.39352024671607-1.60647975328393
44-6-5.27242834528687-0.727571654713135
450-6.547507816764366.54750781676436
46-4-2.32116369955842-1.67883630044158
47-2-3.63992002950231.6399200295023
48-2-3.316201915297221.31620191529722
49-6-14.18170410436938.18170410436926
50-7-9.84562441261012.8456244126101
51-6-8.354290580712952.35429058071295
52-6-1.15513546166168-4.84486453833832
53-3-1.24116430557763-1.75883569442237
54-2-2.081984290095610.0819842900956118
55-5-1.8855238190182-3.1144761809818
56-11-5.45747162274383-5.54252837725617
57-11-7.62594901919126-3.37405098080874
58-11-12.79129752137941.79129752137943
59-10-10.69049090995940.690490909959447
60-14-11.1203556197389-2.87964438026114
61-8-22.640586573854914.6405865738549
62-9-15.6429012055966.64290120559598
63-5-11.71655417250486.7165541725048
64-1-3.842717965725122.84271796572512
65-22.34657311744972-4.34657311744972
66-50.404867048472679-5.40486704847268
67-4-4.110869984287610.110869984287612
68-6-6.229164103549090.229164103549088
69-2-3.712595374886281.71259537488628
70-2-3.669947754199911.66994775419991
71-2-1.9106544279816-0.0893455720184049
72-2-3.927370019485931.92737001948593
732-6.431169188734948.43116918873494
741-6.132920278457117.13292027845711
75-8-1.76239774510724-6.23760225489275
76-1-3.882835307660672.88283530766067
7710.05066918853451790.949330811465482
78-11.41335598065059-2.41335598065058
7920.7713944233860271.22860557661397
802-0.4777162481826092.47771624818261
8114.12385315856312-3.12385315856312
82-10.937503472575087-1.93750347257509
83-2-0.267686249840127-1.73231375015987
84-2-2.707554671150930.707554671150927
85-1-3.906863377126462.90686337712646
86-8-7.75904595506691-0.240954044933093
87-4-12.71399889937588.71399889937578
88-6-1.71801260706455-4.28198739293545
89-3-3.249759611861040.249759611861043
90-3-3.434076847317160.434076847317165
91-7-0.949765593154292-6.05023440684571
92-9-6.73742822062858-2.26257177937142
93-11-7.18162654715451-3.81837345284549
94-13-10.4872242786973-2.51277572130266
95-11-12.04945793882671.04945793882669
96-9-11.83927966560162.83927966560163
97-17-10.8976317658984-6.10236823410157
98-22-21.9207191457208-0.0792808542792116
99-25-23.9301699460911-1.06983005390891
100-20-23.84433033132093.84433033132088
101-24-18.4650208410006-5.53497915899939
102-24-22.5917851446468-1.40821485535317
103-22-23.5347622341681.53476223416797
104-19-23.01820911469974.01820911469974
105-18-19.73758684295091.73758684295092
106-17-18.86404725909941.86404725909939
107-11-16.30060231354865.30060231354856
108-11-12.60315897662171.60315897662167
109-12-15.35671924845363.35671924845357
110-10-17.96399650106577.96399650106574
111-15-14.7434547251998-0.256545274800175
112-15-12.4214078844722-2.5785921155278
113-15-14.3434687705213-0.656531229478665
114-13-13.73916089648130.739160896481325
115-8-12.17444976154724.17444976154723
116-13-8.95349689177705-4.04650310822295
117-9-11.79258262698042.79258262698041
118-7-10.07779454344763.07779454344764
119-4-5.493679147172751.49367914717275
120-4-5.493339646325571.49333964632557
121-2-7.682153466638475.68215346663847
1220-7.144763928741247.14476392874124
123-2-7.048161655452755.04816165545275
124-3-1.77638076278752-1.22361923721248
1251-2.052184962122753.05218496212275
126-21.63963162936374-3.63963162936374
127-11.44941477306127-2.44941477306127
1281-2.390418299882673.39041829988267
129-32.12389748007427-5.12389748007427
130-4-1.35899508294134-2.64100491705866
131-9-1.10964239213083-7.89035760786917
132-9-7.45736159294381-1.54263840705619
133-7-10.35471363969563.35471363969562
134-14-10.9340219587569-3.06597804124312
135-12-18.48703199742916.48703199742909
136-16-14.3088595146578-1.6911404853422
137-20-13.5732312928695-6.42676870713047
138-12-18.5518145710546.55181457105397
139-12-11.4979305478288-0.502069452171225
140-10-12.17443031179442.17443031179441
141-10-11.27158630128161.27158630128158
142-13-9.6364063824501-3.3635936175499
143-16-11.5880256443396-4.41197435566041

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & -14 & -7.54193376068376 & -6.45806623931624 \tabularnewline
14 & -18 & -16.4561355549609 & -1.54386444503908 \tabularnewline
15 & -8 & -8.00462937934129 & 0.0046293793412886 \tabularnewline
16 & -1 & -1.37862582346949 & 0.37862582346949 \tabularnewline
17 & 1 & 0.460781592593208 & 0.539218407406792 \tabularnewline
18 & 2 & 1.16130466940879 & 0.838695330591211 \tabularnewline
19 & 0 & -7.30666519725573 & 7.30666519725573 \tabularnewline
20 & 1 & -0.568525913433465 & 1.56852591343347 \tabularnewline
21 & 0 & 3.07892653712026 & -3.07892653712026 \tabularnewline
22 & -1 & 1.8136167365152 & -2.8136167365152 \tabularnewline
23 & -3 & -3.95042169762604 & 0.950421697626036 \tabularnewline
24 & -3 & -7.53440600826121 & 4.53440600826121 \tabularnewline
25 & -3 & -16.9180782989989 & 13.9180782989989 \tabularnewline
26 & -4 & -10.343501995105 & 6.34350199510497 \tabularnewline
27 & -8 & 4.08127936241532 & -12.0812793624153 \tabularnewline
28 & -9 & 2.71435525481353 & -11.7143552548135 \tabularnewline
29 & -13 & -3.56376124066696 & -9.43623875933304 \tabularnewline
30 & -18 & -9.54296835249328 & -8.45703164750672 \tabularnewline
31 & -11 & -22.2813628174214 & 11.2813628174214 \tabularnewline
32 & -9 & -14.7364913063736 & 5.73649130637356 \tabularnewline
33 & -10 & -9.78224894882889 & -0.217751051171113 \tabularnewline
34 & -13 & -9.03117845047518 & -3.96882154952482 \tabularnewline
35 & -11 & -14.3782807416689 & 3.37828074166893 \tabularnewline
36 & -5 & -15.1647180319746 & 10.1647180319746 \tabularnewline
37 & -15 & -17.6876485066078 & 2.68764850660784 \tabularnewline
38 & -6 & -21.1918864468584 & 15.1918864468584 \tabularnewline
39 & -6 & -6.69691838278867 & 0.696918382788672 \tabularnewline
40 & -3 & 0.77945845180429 & -3.77945845180429 \tabularnewline
41 & -1 & 0.711522663344319 & -1.71152266334432 \tabularnewline
42 & -3 & 0.414060889939686 & -3.41406088993969 \tabularnewline
43 & -4 & -2.39352024671607 & -1.60647975328393 \tabularnewline
44 & -6 & -5.27242834528687 & -0.727571654713135 \tabularnewline
45 & 0 & -6.54750781676436 & 6.54750781676436 \tabularnewline
46 & -4 & -2.32116369955842 & -1.67883630044158 \tabularnewline
47 & -2 & -3.6399200295023 & 1.6399200295023 \tabularnewline
48 & -2 & -3.31620191529722 & 1.31620191529722 \tabularnewline
49 & -6 & -14.1817041043693 & 8.18170410436926 \tabularnewline
50 & -7 & -9.8456244126101 & 2.8456244126101 \tabularnewline
51 & -6 & -8.35429058071295 & 2.35429058071295 \tabularnewline
52 & -6 & -1.15513546166168 & -4.84486453833832 \tabularnewline
53 & -3 & -1.24116430557763 & -1.75883569442237 \tabularnewline
54 & -2 & -2.08198429009561 & 0.0819842900956118 \tabularnewline
55 & -5 & -1.8855238190182 & -3.1144761809818 \tabularnewline
56 & -11 & -5.45747162274383 & -5.54252837725617 \tabularnewline
57 & -11 & -7.62594901919126 & -3.37405098080874 \tabularnewline
58 & -11 & -12.7912975213794 & 1.79129752137943 \tabularnewline
59 & -10 & -10.6904909099594 & 0.690490909959447 \tabularnewline
60 & -14 & -11.1203556197389 & -2.87964438026114 \tabularnewline
61 & -8 & -22.6405865738549 & 14.6405865738549 \tabularnewline
62 & -9 & -15.642901205596 & 6.64290120559598 \tabularnewline
63 & -5 & -11.7165541725048 & 6.7165541725048 \tabularnewline
64 & -1 & -3.84271796572512 & 2.84271796572512 \tabularnewline
65 & -2 & 2.34657311744972 & -4.34657311744972 \tabularnewline
66 & -5 & 0.404867048472679 & -5.40486704847268 \tabularnewline
67 & -4 & -4.11086998428761 & 0.110869984287612 \tabularnewline
68 & -6 & -6.22916410354909 & 0.229164103549088 \tabularnewline
69 & -2 & -3.71259537488628 & 1.71259537488628 \tabularnewline
70 & -2 & -3.66994775419991 & 1.66994775419991 \tabularnewline
71 & -2 & -1.9106544279816 & -0.0893455720184049 \tabularnewline
72 & -2 & -3.92737001948593 & 1.92737001948593 \tabularnewline
73 & 2 & -6.43116918873494 & 8.43116918873494 \tabularnewline
74 & 1 & -6.13292027845711 & 7.13292027845711 \tabularnewline
75 & -8 & -1.76239774510724 & -6.23760225489275 \tabularnewline
76 & -1 & -3.88283530766067 & 2.88283530766067 \tabularnewline
77 & 1 & 0.0506691885345179 & 0.949330811465482 \tabularnewline
78 & -1 & 1.41335598065059 & -2.41335598065058 \tabularnewline
79 & 2 & 0.771394423386027 & 1.22860557661397 \tabularnewline
80 & 2 & -0.477716248182609 & 2.47771624818261 \tabularnewline
81 & 1 & 4.12385315856312 & -3.12385315856312 \tabularnewline
82 & -1 & 0.937503472575087 & -1.93750347257509 \tabularnewline
83 & -2 & -0.267686249840127 & -1.73231375015987 \tabularnewline
84 & -2 & -2.70755467115093 & 0.707554671150927 \tabularnewline
85 & -1 & -3.90686337712646 & 2.90686337712646 \tabularnewline
86 & -8 & -7.75904595506691 & -0.240954044933093 \tabularnewline
87 & -4 & -12.7139988993758 & 8.71399889937578 \tabularnewline
88 & -6 & -1.71801260706455 & -4.28198739293545 \tabularnewline
89 & -3 & -3.24975961186104 & 0.249759611861043 \tabularnewline
90 & -3 & -3.43407684731716 & 0.434076847317165 \tabularnewline
91 & -7 & -0.949765593154292 & -6.05023440684571 \tabularnewline
92 & -9 & -6.73742822062858 & -2.26257177937142 \tabularnewline
93 & -11 & -7.18162654715451 & -3.81837345284549 \tabularnewline
94 & -13 & -10.4872242786973 & -2.51277572130266 \tabularnewline
95 & -11 & -12.0494579388267 & 1.04945793882669 \tabularnewline
96 & -9 & -11.8392796656016 & 2.83927966560163 \tabularnewline
97 & -17 & -10.8976317658984 & -6.10236823410157 \tabularnewline
98 & -22 & -21.9207191457208 & -0.0792808542792116 \tabularnewline
99 & -25 & -23.9301699460911 & -1.06983005390891 \tabularnewline
100 & -20 & -23.8443303313209 & 3.84433033132088 \tabularnewline
101 & -24 & -18.4650208410006 & -5.53497915899939 \tabularnewline
102 & -24 & -22.5917851446468 & -1.40821485535317 \tabularnewline
103 & -22 & -23.534762234168 & 1.53476223416797 \tabularnewline
104 & -19 & -23.0182091146997 & 4.01820911469974 \tabularnewline
105 & -18 & -19.7375868429509 & 1.73758684295092 \tabularnewline
106 & -17 & -18.8640472590994 & 1.86404725909939 \tabularnewline
107 & -11 & -16.3006023135486 & 5.30060231354856 \tabularnewline
108 & -11 & -12.6031589766217 & 1.60315897662167 \tabularnewline
109 & -12 & -15.3567192484536 & 3.35671924845357 \tabularnewline
110 & -10 & -17.9639965010657 & 7.96399650106574 \tabularnewline
111 & -15 & -14.7434547251998 & -0.256545274800175 \tabularnewline
112 & -15 & -12.4214078844722 & -2.5785921155278 \tabularnewline
113 & -15 & -14.3434687705213 & -0.656531229478665 \tabularnewline
114 & -13 & -13.7391608964813 & 0.739160896481325 \tabularnewline
115 & -8 & -12.1744497615472 & 4.17444976154723 \tabularnewline
116 & -13 & -8.95349689177705 & -4.04650310822295 \tabularnewline
117 & -9 & -11.7925826269804 & 2.79258262698041 \tabularnewline
118 & -7 & -10.0777945434476 & 3.07779454344764 \tabularnewline
119 & -4 & -5.49367914717275 & 1.49367914717275 \tabularnewline
120 & -4 & -5.49333964632557 & 1.49333964632557 \tabularnewline
121 & -2 & -7.68215346663847 & 5.68215346663847 \tabularnewline
122 & 0 & -7.14476392874124 & 7.14476392874124 \tabularnewline
123 & -2 & -7.04816165545275 & 5.04816165545275 \tabularnewline
124 & -3 & -1.77638076278752 & -1.22361923721248 \tabularnewline
125 & 1 & -2.05218496212275 & 3.05218496212275 \tabularnewline
126 & -2 & 1.63963162936374 & -3.63963162936374 \tabularnewline
127 & -1 & 1.44941477306127 & -2.44941477306127 \tabularnewline
128 & 1 & -2.39041829988267 & 3.39041829988267 \tabularnewline
129 & -3 & 2.12389748007427 & -5.12389748007427 \tabularnewline
130 & -4 & -1.35899508294134 & -2.64100491705866 \tabularnewline
131 & -9 & -1.10964239213083 & -7.89035760786917 \tabularnewline
132 & -9 & -7.45736159294381 & -1.54263840705619 \tabularnewline
133 & -7 & -10.3547136396956 & 3.35471363969562 \tabularnewline
134 & -14 & -10.9340219587569 & -3.06597804124312 \tabularnewline
135 & -12 & -18.4870319974291 & 6.48703199742909 \tabularnewline
136 & -16 & -14.3088595146578 & -1.6911404853422 \tabularnewline
137 & -20 & -13.5732312928695 & -6.42676870713047 \tabularnewline
138 & -12 & -18.551814571054 & 6.55181457105397 \tabularnewline
139 & -12 & -11.4979305478288 & -0.502069452171225 \tabularnewline
140 & -10 & -12.1744303117944 & 2.17443031179441 \tabularnewline
141 & -10 & -11.2715863012816 & 1.27158630128158 \tabularnewline
142 & -13 & -9.6364063824501 & -3.3635936175499 \tabularnewline
143 & -16 & -11.5880256443396 & -4.41197435566041 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187204&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]-14[/C][C]-7.54193376068376[/C][C]-6.45806623931624[/C][/ROW]
[ROW][C]14[/C][C]-18[/C][C]-16.4561355549609[/C][C]-1.54386444503908[/C][/ROW]
[ROW][C]15[/C][C]-8[/C][C]-8.00462937934129[/C][C]0.0046293793412886[/C][/ROW]
[ROW][C]16[/C][C]-1[/C][C]-1.37862582346949[/C][C]0.37862582346949[/C][/ROW]
[ROW][C]17[/C][C]1[/C][C]0.460781592593208[/C][C]0.539218407406792[/C][/ROW]
[ROW][C]18[/C][C]2[/C][C]1.16130466940879[/C][C]0.838695330591211[/C][/ROW]
[ROW][C]19[/C][C]0[/C][C]-7.30666519725573[/C][C]7.30666519725573[/C][/ROW]
[ROW][C]20[/C][C]1[/C][C]-0.568525913433465[/C][C]1.56852591343347[/C][/ROW]
[ROW][C]21[/C][C]0[/C][C]3.07892653712026[/C][C]-3.07892653712026[/C][/ROW]
[ROW][C]22[/C][C]-1[/C][C]1.8136167365152[/C][C]-2.8136167365152[/C][/ROW]
[ROW][C]23[/C][C]-3[/C][C]-3.95042169762604[/C][C]0.950421697626036[/C][/ROW]
[ROW][C]24[/C][C]-3[/C][C]-7.53440600826121[/C][C]4.53440600826121[/C][/ROW]
[ROW][C]25[/C][C]-3[/C][C]-16.9180782989989[/C][C]13.9180782989989[/C][/ROW]
[ROW][C]26[/C][C]-4[/C][C]-10.343501995105[/C][C]6.34350199510497[/C][/ROW]
[ROW][C]27[/C][C]-8[/C][C]4.08127936241532[/C][C]-12.0812793624153[/C][/ROW]
[ROW][C]28[/C][C]-9[/C][C]2.71435525481353[/C][C]-11.7143552548135[/C][/ROW]
[ROW][C]29[/C][C]-13[/C][C]-3.56376124066696[/C][C]-9.43623875933304[/C][/ROW]
[ROW][C]30[/C][C]-18[/C][C]-9.54296835249328[/C][C]-8.45703164750672[/C][/ROW]
[ROW][C]31[/C][C]-11[/C][C]-22.2813628174214[/C][C]11.2813628174214[/C][/ROW]
[ROW][C]32[/C][C]-9[/C][C]-14.7364913063736[/C][C]5.73649130637356[/C][/ROW]
[ROW][C]33[/C][C]-10[/C][C]-9.78224894882889[/C][C]-0.217751051171113[/C][/ROW]
[ROW][C]34[/C][C]-13[/C][C]-9.03117845047518[/C][C]-3.96882154952482[/C][/ROW]
[ROW][C]35[/C][C]-11[/C][C]-14.3782807416689[/C][C]3.37828074166893[/C][/ROW]
[ROW][C]36[/C][C]-5[/C][C]-15.1647180319746[/C][C]10.1647180319746[/C][/ROW]
[ROW][C]37[/C][C]-15[/C][C]-17.6876485066078[/C][C]2.68764850660784[/C][/ROW]
[ROW][C]38[/C][C]-6[/C][C]-21.1918864468584[/C][C]15.1918864468584[/C][/ROW]
[ROW][C]39[/C][C]-6[/C][C]-6.69691838278867[/C][C]0.696918382788672[/C][/ROW]
[ROW][C]40[/C][C]-3[/C][C]0.77945845180429[/C][C]-3.77945845180429[/C][/ROW]
[ROW][C]41[/C][C]-1[/C][C]0.711522663344319[/C][C]-1.71152266334432[/C][/ROW]
[ROW][C]42[/C][C]-3[/C][C]0.414060889939686[/C][C]-3.41406088993969[/C][/ROW]
[ROW][C]43[/C][C]-4[/C][C]-2.39352024671607[/C][C]-1.60647975328393[/C][/ROW]
[ROW][C]44[/C][C]-6[/C][C]-5.27242834528687[/C][C]-0.727571654713135[/C][/ROW]
[ROW][C]45[/C][C]0[/C][C]-6.54750781676436[/C][C]6.54750781676436[/C][/ROW]
[ROW][C]46[/C][C]-4[/C][C]-2.32116369955842[/C][C]-1.67883630044158[/C][/ROW]
[ROW][C]47[/C][C]-2[/C][C]-3.6399200295023[/C][C]1.6399200295023[/C][/ROW]
[ROW][C]48[/C][C]-2[/C][C]-3.31620191529722[/C][C]1.31620191529722[/C][/ROW]
[ROW][C]49[/C][C]-6[/C][C]-14.1817041043693[/C][C]8.18170410436926[/C][/ROW]
[ROW][C]50[/C][C]-7[/C][C]-9.8456244126101[/C][C]2.8456244126101[/C][/ROW]
[ROW][C]51[/C][C]-6[/C][C]-8.35429058071295[/C][C]2.35429058071295[/C][/ROW]
[ROW][C]52[/C][C]-6[/C][C]-1.15513546166168[/C][C]-4.84486453833832[/C][/ROW]
[ROW][C]53[/C][C]-3[/C][C]-1.24116430557763[/C][C]-1.75883569442237[/C][/ROW]
[ROW][C]54[/C][C]-2[/C][C]-2.08198429009561[/C][C]0.0819842900956118[/C][/ROW]
[ROW][C]55[/C][C]-5[/C][C]-1.8855238190182[/C][C]-3.1144761809818[/C][/ROW]
[ROW][C]56[/C][C]-11[/C][C]-5.45747162274383[/C][C]-5.54252837725617[/C][/ROW]
[ROW][C]57[/C][C]-11[/C][C]-7.62594901919126[/C][C]-3.37405098080874[/C][/ROW]
[ROW][C]58[/C][C]-11[/C][C]-12.7912975213794[/C][C]1.79129752137943[/C][/ROW]
[ROW][C]59[/C][C]-10[/C][C]-10.6904909099594[/C][C]0.690490909959447[/C][/ROW]
[ROW][C]60[/C][C]-14[/C][C]-11.1203556197389[/C][C]-2.87964438026114[/C][/ROW]
[ROW][C]61[/C][C]-8[/C][C]-22.6405865738549[/C][C]14.6405865738549[/C][/ROW]
[ROW][C]62[/C][C]-9[/C][C]-15.642901205596[/C][C]6.64290120559598[/C][/ROW]
[ROW][C]63[/C][C]-5[/C][C]-11.7165541725048[/C][C]6.7165541725048[/C][/ROW]
[ROW][C]64[/C][C]-1[/C][C]-3.84271796572512[/C][C]2.84271796572512[/C][/ROW]
[ROW][C]65[/C][C]-2[/C][C]2.34657311744972[/C][C]-4.34657311744972[/C][/ROW]
[ROW][C]66[/C][C]-5[/C][C]0.404867048472679[/C][C]-5.40486704847268[/C][/ROW]
[ROW][C]67[/C][C]-4[/C][C]-4.11086998428761[/C][C]0.110869984287612[/C][/ROW]
[ROW][C]68[/C][C]-6[/C][C]-6.22916410354909[/C][C]0.229164103549088[/C][/ROW]
[ROW][C]69[/C][C]-2[/C][C]-3.71259537488628[/C][C]1.71259537488628[/C][/ROW]
[ROW][C]70[/C][C]-2[/C][C]-3.66994775419991[/C][C]1.66994775419991[/C][/ROW]
[ROW][C]71[/C][C]-2[/C][C]-1.9106544279816[/C][C]-0.0893455720184049[/C][/ROW]
[ROW][C]72[/C][C]-2[/C][C]-3.92737001948593[/C][C]1.92737001948593[/C][/ROW]
[ROW][C]73[/C][C]2[/C][C]-6.43116918873494[/C][C]8.43116918873494[/C][/ROW]
[ROW][C]74[/C][C]1[/C][C]-6.13292027845711[/C][C]7.13292027845711[/C][/ROW]
[ROW][C]75[/C][C]-8[/C][C]-1.76239774510724[/C][C]-6.23760225489275[/C][/ROW]
[ROW][C]76[/C][C]-1[/C][C]-3.88283530766067[/C][C]2.88283530766067[/C][/ROW]
[ROW][C]77[/C][C]1[/C][C]0.0506691885345179[/C][C]0.949330811465482[/C][/ROW]
[ROW][C]78[/C][C]-1[/C][C]1.41335598065059[/C][C]-2.41335598065058[/C][/ROW]
[ROW][C]79[/C][C]2[/C][C]0.771394423386027[/C][C]1.22860557661397[/C][/ROW]
[ROW][C]80[/C][C]2[/C][C]-0.477716248182609[/C][C]2.47771624818261[/C][/ROW]
[ROW][C]81[/C][C]1[/C][C]4.12385315856312[/C][C]-3.12385315856312[/C][/ROW]
[ROW][C]82[/C][C]-1[/C][C]0.937503472575087[/C][C]-1.93750347257509[/C][/ROW]
[ROW][C]83[/C][C]-2[/C][C]-0.267686249840127[/C][C]-1.73231375015987[/C][/ROW]
[ROW][C]84[/C][C]-2[/C][C]-2.70755467115093[/C][C]0.707554671150927[/C][/ROW]
[ROW][C]85[/C][C]-1[/C][C]-3.90686337712646[/C][C]2.90686337712646[/C][/ROW]
[ROW][C]86[/C][C]-8[/C][C]-7.75904595506691[/C][C]-0.240954044933093[/C][/ROW]
[ROW][C]87[/C][C]-4[/C][C]-12.7139988993758[/C][C]8.71399889937578[/C][/ROW]
[ROW][C]88[/C][C]-6[/C][C]-1.71801260706455[/C][C]-4.28198739293545[/C][/ROW]
[ROW][C]89[/C][C]-3[/C][C]-3.24975961186104[/C][C]0.249759611861043[/C][/ROW]
[ROW][C]90[/C][C]-3[/C][C]-3.43407684731716[/C][C]0.434076847317165[/C][/ROW]
[ROW][C]91[/C][C]-7[/C][C]-0.949765593154292[/C][C]-6.05023440684571[/C][/ROW]
[ROW][C]92[/C][C]-9[/C][C]-6.73742822062858[/C][C]-2.26257177937142[/C][/ROW]
[ROW][C]93[/C][C]-11[/C][C]-7.18162654715451[/C][C]-3.81837345284549[/C][/ROW]
[ROW][C]94[/C][C]-13[/C][C]-10.4872242786973[/C][C]-2.51277572130266[/C][/ROW]
[ROW][C]95[/C][C]-11[/C][C]-12.0494579388267[/C][C]1.04945793882669[/C][/ROW]
[ROW][C]96[/C][C]-9[/C][C]-11.8392796656016[/C][C]2.83927966560163[/C][/ROW]
[ROW][C]97[/C][C]-17[/C][C]-10.8976317658984[/C][C]-6.10236823410157[/C][/ROW]
[ROW][C]98[/C][C]-22[/C][C]-21.9207191457208[/C][C]-0.0792808542792116[/C][/ROW]
[ROW][C]99[/C][C]-25[/C][C]-23.9301699460911[/C][C]-1.06983005390891[/C][/ROW]
[ROW][C]100[/C][C]-20[/C][C]-23.8443303313209[/C][C]3.84433033132088[/C][/ROW]
[ROW][C]101[/C][C]-24[/C][C]-18.4650208410006[/C][C]-5.53497915899939[/C][/ROW]
[ROW][C]102[/C][C]-24[/C][C]-22.5917851446468[/C][C]-1.40821485535317[/C][/ROW]
[ROW][C]103[/C][C]-22[/C][C]-23.534762234168[/C][C]1.53476223416797[/C][/ROW]
[ROW][C]104[/C][C]-19[/C][C]-23.0182091146997[/C][C]4.01820911469974[/C][/ROW]
[ROW][C]105[/C][C]-18[/C][C]-19.7375868429509[/C][C]1.73758684295092[/C][/ROW]
[ROW][C]106[/C][C]-17[/C][C]-18.8640472590994[/C][C]1.86404725909939[/C][/ROW]
[ROW][C]107[/C][C]-11[/C][C]-16.3006023135486[/C][C]5.30060231354856[/C][/ROW]
[ROW][C]108[/C][C]-11[/C][C]-12.6031589766217[/C][C]1.60315897662167[/C][/ROW]
[ROW][C]109[/C][C]-12[/C][C]-15.3567192484536[/C][C]3.35671924845357[/C][/ROW]
[ROW][C]110[/C][C]-10[/C][C]-17.9639965010657[/C][C]7.96399650106574[/C][/ROW]
[ROW][C]111[/C][C]-15[/C][C]-14.7434547251998[/C][C]-0.256545274800175[/C][/ROW]
[ROW][C]112[/C][C]-15[/C][C]-12.4214078844722[/C][C]-2.5785921155278[/C][/ROW]
[ROW][C]113[/C][C]-15[/C][C]-14.3434687705213[/C][C]-0.656531229478665[/C][/ROW]
[ROW][C]114[/C][C]-13[/C][C]-13.7391608964813[/C][C]0.739160896481325[/C][/ROW]
[ROW][C]115[/C][C]-8[/C][C]-12.1744497615472[/C][C]4.17444976154723[/C][/ROW]
[ROW][C]116[/C][C]-13[/C][C]-8.95349689177705[/C][C]-4.04650310822295[/C][/ROW]
[ROW][C]117[/C][C]-9[/C][C]-11.7925826269804[/C][C]2.79258262698041[/C][/ROW]
[ROW][C]118[/C][C]-7[/C][C]-10.0777945434476[/C][C]3.07779454344764[/C][/ROW]
[ROW][C]119[/C][C]-4[/C][C]-5.49367914717275[/C][C]1.49367914717275[/C][/ROW]
[ROW][C]120[/C][C]-4[/C][C]-5.49333964632557[/C][C]1.49333964632557[/C][/ROW]
[ROW][C]121[/C][C]-2[/C][C]-7.68215346663847[/C][C]5.68215346663847[/C][/ROW]
[ROW][C]122[/C][C]0[/C][C]-7.14476392874124[/C][C]7.14476392874124[/C][/ROW]
[ROW][C]123[/C][C]-2[/C][C]-7.04816165545275[/C][C]5.04816165545275[/C][/ROW]
[ROW][C]124[/C][C]-3[/C][C]-1.77638076278752[/C][C]-1.22361923721248[/C][/ROW]
[ROW][C]125[/C][C]1[/C][C]-2.05218496212275[/C][C]3.05218496212275[/C][/ROW]
[ROW][C]126[/C][C]-2[/C][C]1.63963162936374[/C][C]-3.63963162936374[/C][/ROW]
[ROW][C]127[/C][C]-1[/C][C]1.44941477306127[/C][C]-2.44941477306127[/C][/ROW]
[ROW][C]128[/C][C]1[/C][C]-2.39041829988267[/C][C]3.39041829988267[/C][/ROW]
[ROW][C]129[/C][C]-3[/C][C]2.12389748007427[/C][C]-5.12389748007427[/C][/ROW]
[ROW][C]130[/C][C]-4[/C][C]-1.35899508294134[/C][C]-2.64100491705866[/C][/ROW]
[ROW][C]131[/C][C]-9[/C][C]-1.10964239213083[/C][C]-7.89035760786917[/C][/ROW]
[ROW][C]132[/C][C]-9[/C][C]-7.45736159294381[/C][C]-1.54263840705619[/C][/ROW]
[ROW][C]133[/C][C]-7[/C][C]-10.3547136396956[/C][C]3.35471363969562[/C][/ROW]
[ROW][C]134[/C][C]-14[/C][C]-10.9340219587569[/C][C]-3.06597804124312[/C][/ROW]
[ROW][C]135[/C][C]-12[/C][C]-18.4870319974291[/C][C]6.48703199742909[/C][/ROW]
[ROW][C]136[/C][C]-16[/C][C]-14.3088595146578[/C][C]-1.6911404853422[/C][/ROW]
[ROW][C]137[/C][C]-20[/C][C]-13.5732312928695[/C][C]-6.42676870713047[/C][/ROW]
[ROW][C]138[/C][C]-12[/C][C]-18.551814571054[/C][C]6.55181457105397[/C][/ROW]
[ROW][C]139[/C][C]-12[/C][C]-11.4979305478288[/C][C]-0.502069452171225[/C][/ROW]
[ROW][C]140[/C][C]-10[/C][C]-12.1744303117944[/C][C]2.17443031179441[/C][/ROW]
[ROW][C]141[/C][C]-10[/C][C]-11.2715863012816[/C][C]1.27158630128158[/C][/ROW]
[ROW][C]142[/C][C]-13[/C][C]-9.6364063824501[/C][C]-3.3635936175499[/C][/ROW]
[ROW][C]143[/C][C]-16[/C][C]-11.5880256443396[/C][C]-4.41197435566041[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187204&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187204&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
13-14-7.54193376068376-6.45806623931624
14-18-16.4561355549609-1.54386444503908
15-8-8.004629379341290.0046293793412886
16-1-1.378625823469490.37862582346949
1710.4607815925932080.539218407406792
1821.161304669408790.838695330591211
190-7.306665197255737.30666519725573
201-0.5685259134334651.56852591343347
2103.07892653712026-3.07892653712026
22-11.8136167365152-2.8136167365152
23-3-3.950421697626040.950421697626036
24-3-7.534406008261214.53440600826121
25-3-16.918078298998913.9180782989989
26-4-10.3435019951056.34350199510497
27-84.08127936241532-12.0812793624153
28-92.71435525481353-11.7143552548135
29-13-3.56376124066696-9.43623875933304
30-18-9.54296835249328-8.45703164750672
31-11-22.281362817421411.2813628174214
32-9-14.73649130637365.73649130637356
33-10-9.78224894882889-0.217751051171113
34-13-9.03117845047518-3.96882154952482
35-11-14.37828074166893.37828074166893
36-5-15.164718031974610.1647180319746
37-15-17.68764850660782.68764850660784
38-6-21.191886446858415.1918864468584
39-6-6.696918382788670.696918382788672
40-30.77945845180429-3.77945845180429
41-10.711522663344319-1.71152266334432
42-30.414060889939686-3.41406088993969
43-4-2.39352024671607-1.60647975328393
44-6-5.27242834528687-0.727571654713135
450-6.547507816764366.54750781676436
46-4-2.32116369955842-1.67883630044158
47-2-3.63992002950231.6399200295023
48-2-3.316201915297221.31620191529722
49-6-14.18170410436938.18170410436926
50-7-9.84562441261012.8456244126101
51-6-8.354290580712952.35429058071295
52-6-1.15513546166168-4.84486453833832
53-3-1.24116430557763-1.75883569442237
54-2-2.081984290095610.0819842900956118
55-5-1.8855238190182-3.1144761809818
56-11-5.45747162274383-5.54252837725617
57-11-7.62594901919126-3.37405098080874
58-11-12.79129752137941.79129752137943
59-10-10.69049090995940.690490909959447
60-14-11.1203556197389-2.87964438026114
61-8-22.640586573854914.6405865738549
62-9-15.6429012055966.64290120559598
63-5-11.71655417250486.7165541725048
64-1-3.842717965725122.84271796572512
65-22.34657311744972-4.34657311744972
66-50.404867048472679-5.40486704847268
67-4-4.110869984287610.110869984287612
68-6-6.229164103549090.229164103549088
69-2-3.712595374886281.71259537488628
70-2-3.669947754199911.66994775419991
71-2-1.9106544279816-0.0893455720184049
72-2-3.927370019485931.92737001948593
732-6.431169188734948.43116918873494
741-6.132920278457117.13292027845711
75-8-1.76239774510724-6.23760225489275
76-1-3.882835307660672.88283530766067
7710.05066918853451790.949330811465482
78-11.41335598065059-2.41335598065058
7920.7713944233860271.22860557661397
802-0.4777162481826092.47771624818261
8114.12385315856312-3.12385315856312
82-10.937503472575087-1.93750347257509
83-2-0.267686249840127-1.73231375015987
84-2-2.707554671150930.707554671150927
85-1-3.906863377126462.90686337712646
86-8-7.75904595506691-0.240954044933093
87-4-12.71399889937588.71399889937578
88-6-1.71801260706455-4.28198739293545
89-3-3.249759611861040.249759611861043
90-3-3.434076847317160.434076847317165
91-7-0.949765593154292-6.05023440684571
92-9-6.73742822062858-2.26257177937142
93-11-7.18162654715451-3.81837345284549
94-13-10.4872242786973-2.51277572130266
95-11-12.04945793882671.04945793882669
96-9-11.83927966560162.83927966560163
97-17-10.8976317658984-6.10236823410157
98-22-21.9207191457208-0.0792808542792116
99-25-23.9301699460911-1.06983005390891
100-20-23.84433033132093.84433033132088
101-24-18.4650208410006-5.53497915899939
102-24-22.5917851446468-1.40821485535317
103-22-23.5347622341681.53476223416797
104-19-23.01820911469974.01820911469974
105-18-19.73758684295091.73758684295092
106-17-18.86404725909941.86404725909939
107-11-16.30060231354865.30060231354856
108-11-12.60315897662171.60315897662167
109-12-15.35671924845363.35671924845357
110-10-17.96399650106577.96399650106574
111-15-14.7434547251998-0.256545274800175
112-15-12.4214078844722-2.5785921155278
113-15-14.3434687705213-0.656531229478665
114-13-13.73916089648130.739160896481325
115-8-12.17444976154724.17444976154723
116-13-8.95349689177705-4.04650310822295
117-9-11.79258262698042.79258262698041
118-7-10.07779454344763.07779454344764
119-4-5.493679147172751.49367914717275
120-4-5.493339646325571.49333964632557
121-2-7.682153466638475.68215346663847
1220-7.144763928741247.14476392874124
123-2-7.048161655452755.04816165545275
124-3-1.77638076278752-1.22361923721248
1251-2.052184962122753.05218496212275
126-21.63963162936374-3.63963162936374
127-11.44941477306127-2.44941477306127
1281-2.390418299882673.39041829988267
129-32.12389748007427-5.12389748007427
130-4-1.35899508294134-2.64100491705866
131-9-1.10964239213083-7.89035760786917
132-9-7.45736159294381-1.54263840705619
133-7-10.35471363969563.35471363969562
134-14-10.9340219587569-3.06597804124312
135-12-18.48703199742916.48703199742909
136-16-14.3088595146578-1.6911404853422
137-20-13.5732312928695-6.42676870713047
138-12-18.5518145710546.55181457105397
139-12-11.4979305478288-0.502069452171225
140-10-12.17443031179442.17443031179441
141-10-11.27158630128161.27158630128158
142-13-9.6364063824501-3.3635936175499
143-16-11.5880256443396-4.41197435566041







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
144-13.5376069206666-22.9835002745-4.09171356683327
145-13.8096387358532-25.2429584038215-2.37631906788486
146-18.7442608832579-31.8870092531731-5.60151251334261
147-21.1404119083796-35.8121939177936-6.46862989896564
148-24.0212545816771-40.0933432544478-7.94916590890629
149-23.6854310461342-41.0603426562902-6.31051943597812
150-20.1186056667935-38.7194369015165-1.51777443207053
151-19.7987217659113-39.5629652276792-0.0344783041434837
152-19.290692943464-40.16637071128251.58498482435446
153-20.179945644742-42.12305181494541.76316052546136
154-20.9331126249603-43.90584550187342.03962025195284
155-20.9615547482751-44.93105082980033.00794133325002

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
144 & -13.5376069206666 & -22.9835002745 & -4.09171356683327 \tabularnewline
145 & -13.8096387358532 & -25.2429584038215 & -2.37631906788486 \tabularnewline
146 & -18.7442608832579 & -31.8870092531731 & -5.60151251334261 \tabularnewline
147 & -21.1404119083796 & -35.8121939177936 & -6.46862989896564 \tabularnewline
148 & -24.0212545816771 & -40.0933432544478 & -7.94916590890629 \tabularnewline
149 & -23.6854310461342 & -41.0603426562902 & -6.31051943597812 \tabularnewline
150 & -20.1186056667935 & -38.7194369015165 & -1.51777443207053 \tabularnewline
151 & -19.7987217659113 & -39.5629652276792 & -0.0344783041434837 \tabularnewline
152 & -19.290692943464 & -40.1663707112825 & 1.58498482435446 \tabularnewline
153 & -20.179945644742 & -42.1230518149454 & 1.76316052546136 \tabularnewline
154 & -20.9331126249603 & -43.9058455018734 & 2.03962025195284 \tabularnewline
155 & -20.9615547482751 & -44.9310508298003 & 3.00794133325002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187204&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]144[/C][C]-13.5376069206666[/C][C]-22.9835002745[/C][C]-4.09171356683327[/C][/ROW]
[ROW][C]145[/C][C]-13.8096387358532[/C][C]-25.2429584038215[/C][C]-2.37631906788486[/C][/ROW]
[ROW][C]146[/C][C]-18.7442608832579[/C][C]-31.8870092531731[/C][C]-5.60151251334261[/C][/ROW]
[ROW][C]147[/C][C]-21.1404119083796[/C][C]-35.8121939177936[/C][C]-6.46862989896564[/C][/ROW]
[ROW][C]148[/C][C]-24.0212545816771[/C][C]-40.0933432544478[/C][C]-7.94916590890629[/C][/ROW]
[ROW][C]149[/C][C]-23.6854310461342[/C][C]-41.0603426562902[/C][C]-6.31051943597812[/C][/ROW]
[ROW][C]150[/C][C]-20.1186056667935[/C][C]-38.7194369015165[/C][C]-1.51777443207053[/C][/ROW]
[ROW][C]151[/C][C]-19.7987217659113[/C][C]-39.5629652276792[/C][C]-0.0344783041434837[/C][/ROW]
[ROW][C]152[/C][C]-19.290692943464[/C][C]-40.1663707112825[/C][C]1.58498482435446[/C][/ROW]
[ROW][C]153[/C][C]-20.179945644742[/C][C]-42.1230518149454[/C][C]1.76316052546136[/C][/ROW]
[ROW][C]154[/C][C]-20.9331126249603[/C][C]-43.9058455018734[/C][C]2.03962025195284[/C][/ROW]
[ROW][C]155[/C][C]-20.9615547482751[/C][C]-44.9310508298003[/C][C]3.00794133325002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187204&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187204&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
144-13.5376069206666-22.9835002745-4.09171356683327
145-13.8096387358532-25.2429584038215-2.37631906788486
146-18.7442608832579-31.8870092531731-5.60151251334261
147-21.1404119083796-35.8121939177936-6.46862989896564
148-24.0212545816771-40.0933432544478-7.94916590890629
149-23.6854310461342-41.0603426562902-6.31051943597812
150-20.1186056667935-38.7194369015165-1.51777443207053
151-19.7987217659113-39.5629652276792-0.0344783041434837
152-19.290692943464-40.16637071128251.58498482435446
153-20.179945644742-42.12305181494541.76316052546136
154-20.9331126249603-43.90584550187342.03962025195284
155-20.9615547482751-44.93105082980033.00794133325002



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')