Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 02 Jun 2010 09:10:04 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jun/02/t1275469839i0slf4lhsipwwow.htm/, Retrieved Fri, 26 Apr 2024 15:01:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76995, Retrieved Fri, 26 Apr 2024 15:01:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact145
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [Exponential Smoot...] [2010-06-02 09:05:52] [74be16979710d4c4e7c6647856088456]
-   P     [Exponential Smoothing] [Exponential Smoot...] [2010-06-02 09:10:04] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
112
118
129
99
116
168
118
129
205
147
150
267
126
129
124
97
102
127
222
214
118
141
154
226
89
77
82
97
127
121
117
117
106
112
134
169
75
108
115
85
101
108
109
124
105
95
135
164
88
85
112
87
91
87
87
142
95
108
139
159
61
82
124
93
108
75
87
103
90
108
123
129
57
65
67
71
76
67
110
118
99
85
107
141
58
65
70
86
93
74
87
73
101
100
96
157
63
115
70
66
67
83
79
77
102
116
100
135
71
60
89
74
73
91
86
74
87
87
109
137
43
69
73
77
69
76
78
70
83
65
110
132
54
55
66
65
60
65
96
55
71
63
74
106
34
47
56
53
53
55
67
52
46
51
58
91
33
40
46
45
41
55
57
54
46
52
48
77
30
35
42
48
44
45
46




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76995&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76995&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76995&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.108312065002691
beta0.0447363123542684
gamma0.508451758294713

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.108312065002691 \tabularnewline
beta & 0.0447363123542684 \tabularnewline
gamma & 0.508451758294713 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76995&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]0.108312065002691[/C][/ROW]
[ROW][C]beta[/C][C]0.0447363123542684[/C][/ROW]
[ROW][C]gamma[/C][C]0.508451758294713[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76995&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76995&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
alpha0.108312065002691
beta0.0447363123542684
gamma0.508451758294713







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13126130.144329985792-4.14432998579227
14129126.5004952538102.49950474619028
15124122.3540813299851.64591867001492
169798.6532008959596-1.65320089595963
17102103.969303655171-1.96930365517079
18127130.957447008567-3.95744700856656
19222124.12039617394997.8796038260514
20214147.19663048307666.8033695169239
21118247.025283584059-129.025283584059
22141168.447717966043-27.4477179660433
23154170.508706787079-16.5087067870791
24226306.535574045117-80.5355740451167
2589136.537427208121-47.5374272081215
2677131.007607161597-54.0076071615966
2782120.031537133320-38.0315371333203
289791.5778575479665.42214245203392
2912796.746556356789530.2534436432105
30121125.192476020700-4.19247602069954
31117159.372314553024-42.3723145530239
32117150.984352890117-33.9843528901169
33106145.979206824267-39.9792068242669
34112125.173964372512-13.1739643725124
35134130.4902328586893.50976714131144
36169216.313367529353-47.313367529353
377591.408556262659-16.4085562626590
3810885.257238080610622.7427619193894
3911588.570857572934426.4291424270656
408586.9470388632552-1.94703886325516
41101100.5942903012280.405709698771844
42108108.651244557116-0.651244557116428
43109122.915443023605-13.9154430236054
44124120.6864665283173.31353347168286
45105116.608811846146-11.6088118461458
4695111.142687541814-16.1426875418138
47135122.53001331223212.4699866877679
48164181.603317031655-17.6033170316554
498879.3728360414038.62716395859707
508593.2271108848331-8.2271108848331
5111294.311688731848717.6883112681513
528779.99557986020767.00442013979236
539194.7471269494024-3.7471269494024
5487101.318032018014-14.3180320180141
5587107.204925963829-20.2049259638287
56142111.26750676987330.7324932301269
5795104.005922320230-9.0059223202303
5810897.006735981853310.9932640181467
59139123.36189589444015.6381041055598
60159167.705575370262-8.7055753702617
616180.9401698420455-19.9401698420455
628283.6285428740918-1.62854287409179
6312496.200005604519627.7999943954804
649379.143761930694213.8562380693058
6510889.460852396579518.5391476034205
667593.7103883869437-18.7103883869437
678796.3479479513994-9.34794795139945
68103124.399034851706-21.3990348517055
699094.8592569025689-4.85925690256887
7010897.181570905567410.8184290944326
71123124.260709860798-1.26070986079783
72129153.690896006709-24.6908960067094
735766.3727638663265-9.37276386632645
746577.6218205080587-12.6218205080587
756799.7972165841832-32.7972165841832
767173.0566072532419-2.05660725324189
777681.3348544944935-5.33485449449346
786768.2282282047864-1.22822820478639
7911074.827201753835435.1727982461646
8011898.470934093853419.5290659061466
819982.769504404915116.2304955950849
828593.5620660782976-8.56206607829762
83107110.784022872340-3.78402287234039
84141126.89569338869214.1043066113076
855856.98154502103381.01845497896620
866567.117718661446-2.11771866144595
877080.1277986229931-10.1277986229931
888670.226305516674815.7736944833252
899379.256064635897313.7439353641027
907470.13003212672063.86996787327944
918794.5733573880377-7.57335738803773
9273106.505458314919-33.505458314919
9310184.582379912042416.4176200879576
9410084.253643489291715.7463565107083
9596105.793131473077-9.79313147307718
96157128.56212300790328.4378769920971
976356.19227082311736.80772917688268
9811565.593691676800149.4063083231999
997081.723808433297-11.7238084332969
1006683.9727498076714-17.9727498076714
1016788.9025328194664-21.9025328194664
1028371.637298699360411.3627013006396
1037992.0380082626993-13.0380082626993
1047791.2764619592525-14.2764619592525
10510294.30071818881197.6992818111881
10611692.770558145262523.2294418547375
107100103.971587758270-3.97158775826976
108135146.170874039924-11.1708740399241
1097159.502198154841411.4978018451586
1106087.5171761947385-27.5171761947385
1118968.885185748760120.1148142512399
1127471.43893463895152.56106536104855
1137376.3970394594134-3.39703945941342
1149176.209599298422614.7904007015774
1158685.90848130978350.091518690216489
1167486.0628792474626-12.0628792474626
1178799.7270875519514-12.7270875519514
11887102.838239976045-15.8382399760448
11910997.525966059025211.4740339409748
120137136.9058858282390.0941141717607934
1214363.2396644545201-20.2396644545201
1226968.86870874015730.131291259842712
1237374.2291547650164-1.22915476501640
1247766.917044774880210.0829552251198
1256969.7169310064325-0.716931006432461
1267677.2536129219603-1.25361292196033
1277878.2061454112974-0.206145411297371
1287073.0196354980326-3.01963549803261
1298385.8653897252149-2.86538972521487
1306588.12084853166-23.1208485316599
13111093.326330079133616.6736699208664
132132125.0298084907606.97019150924022
1335449.25465710253694.74534289746305
1345566.1521491231288-11.1521491231288
1356669.3534333911984-3.35343339119842
1366566.9423302065172-1.9423302065172
1376063.6858791137508-3.68587911375084
1386569.8710429102855-4.87104291028547
1399670.590563528403825.4094364715962
1405567.2565228295534-12.2565228295534
1417178.0677197600627-7.06771976006274
1426370.83685969607-7.83685969606996
1437493.7691243556734-19.7691243556734
144106114.023879247739-8.0238792477388
1453444.9249058521102-10.9249058521102
1464751.1003199004015-4.10031990040145
1475657.0629918616688-1.06299186166878
1485355.4626702062255-2.46267020622553
1495351.68683527156471.31316472843534
1505556.61167105174-1.61167105174005
1516768.3218912568018-1.32189125680181
1525249.1290032004852.87099679951496
1534660.922317768643-14.9223177686430
1545153.4414431683052-2.44144316830518
1555867.2538939852502-9.25389398525019
1569187.86022725531833.13977274468171
1573331.88669366734931.11330633265069
1584040.4317564609978-0.431756460997846
1594646.6239868350619-0.623986835061935
1604544.60693828322510.39306171677493
1614142.983478674085-1.98347867408499
1625545.36972820456829.63027179543177
1635756.23481810876360.765181891236367
1645441.884567445506812.1154325544932
1654645.8629802598510.137019740148986
1665245.67861806560556.32138193439446
1674856.1374797060579-8.13747970605792
1687779.5606153668407-2.56061536684074
1693028.66414187703121.33585812296876
1703535.6703079828056-0.670307982805568
1714241.06492257148640.935077428513608
1724839.86989970163638.13010029836374
1734438.32739211884245.67260788115765
1744546.3172147008443-1.31721470084428
1754651.5423765375909-5.54237653759093

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 126 & 130.144329985792 & -4.14432998579227 \tabularnewline
14 & 129 & 126.500495253810 & 2.49950474619028 \tabularnewline
15 & 124 & 122.354081329985 & 1.64591867001492 \tabularnewline
16 & 97 & 98.6532008959596 & -1.65320089595963 \tabularnewline
17 & 102 & 103.969303655171 & -1.96930365517079 \tabularnewline
18 & 127 & 130.957447008567 & -3.95744700856656 \tabularnewline
19 & 222 & 124.120396173949 & 97.8796038260514 \tabularnewline
20 & 214 & 147.196630483076 & 66.8033695169239 \tabularnewline
21 & 118 & 247.025283584059 & -129.025283584059 \tabularnewline
22 & 141 & 168.447717966043 & -27.4477179660433 \tabularnewline
23 & 154 & 170.508706787079 & -16.5087067870791 \tabularnewline
24 & 226 & 306.535574045117 & -80.5355740451167 \tabularnewline
25 & 89 & 136.537427208121 & -47.5374272081215 \tabularnewline
26 & 77 & 131.007607161597 & -54.0076071615966 \tabularnewline
27 & 82 & 120.031537133320 & -38.0315371333203 \tabularnewline
28 & 97 & 91.577857547966 & 5.42214245203392 \tabularnewline
29 & 127 & 96.7465563567895 & 30.2534436432105 \tabularnewline
30 & 121 & 125.192476020700 & -4.19247602069954 \tabularnewline
31 & 117 & 159.372314553024 & -42.3723145530239 \tabularnewline
32 & 117 & 150.984352890117 & -33.9843528901169 \tabularnewline
33 & 106 & 145.979206824267 & -39.9792068242669 \tabularnewline
34 & 112 & 125.173964372512 & -13.1739643725124 \tabularnewline
35 & 134 & 130.490232858689 & 3.50976714131144 \tabularnewline
36 & 169 & 216.313367529353 & -47.313367529353 \tabularnewline
37 & 75 & 91.408556262659 & -16.4085562626590 \tabularnewline
38 & 108 & 85.2572380806106 & 22.7427619193894 \tabularnewline
39 & 115 & 88.5708575729344 & 26.4291424270656 \tabularnewline
40 & 85 & 86.9470388632552 & -1.94703886325516 \tabularnewline
41 & 101 & 100.594290301228 & 0.405709698771844 \tabularnewline
42 & 108 & 108.651244557116 & -0.651244557116428 \tabularnewline
43 & 109 & 122.915443023605 & -13.9154430236054 \tabularnewline
44 & 124 & 120.686466528317 & 3.31353347168286 \tabularnewline
45 & 105 & 116.608811846146 & -11.6088118461458 \tabularnewline
46 & 95 & 111.142687541814 & -16.1426875418138 \tabularnewline
47 & 135 & 122.530013312232 & 12.4699866877679 \tabularnewline
48 & 164 & 181.603317031655 & -17.6033170316554 \tabularnewline
49 & 88 & 79.372836041403 & 8.62716395859707 \tabularnewline
50 & 85 & 93.2271108848331 & -8.2271108848331 \tabularnewline
51 & 112 & 94.3116887318487 & 17.6883112681513 \tabularnewline
52 & 87 & 79.9955798602076 & 7.00442013979236 \tabularnewline
53 & 91 & 94.7471269494024 & -3.7471269494024 \tabularnewline
54 & 87 & 101.318032018014 & -14.3180320180141 \tabularnewline
55 & 87 & 107.204925963829 & -20.2049259638287 \tabularnewline
56 & 142 & 111.267506769873 & 30.7324932301269 \tabularnewline
57 & 95 & 104.005922320230 & -9.0059223202303 \tabularnewline
58 & 108 & 97.0067359818533 & 10.9932640181467 \tabularnewline
59 & 139 & 123.361895894440 & 15.6381041055598 \tabularnewline
60 & 159 & 167.705575370262 & -8.7055753702617 \tabularnewline
61 & 61 & 80.9401698420455 & -19.9401698420455 \tabularnewline
62 & 82 & 83.6285428740918 & -1.62854287409179 \tabularnewline
63 & 124 & 96.2000056045196 & 27.7999943954804 \tabularnewline
64 & 93 & 79.1437619306942 & 13.8562380693058 \tabularnewline
65 & 108 & 89.4608523965795 & 18.5391476034205 \tabularnewline
66 & 75 & 93.7103883869437 & -18.7103883869437 \tabularnewline
67 & 87 & 96.3479479513994 & -9.34794795139945 \tabularnewline
68 & 103 & 124.399034851706 & -21.3990348517055 \tabularnewline
69 & 90 & 94.8592569025689 & -4.85925690256887 \tabularnewline
70 & 108 & 97.1815709055674 & 10.8184290944326 \tabularnewline
71 & 123 & 124.260709860798 & -1.26070986079783 \tabularnewline
72 & 129 & 153.690896006709 & -24.6908960067094 \tabularnewline
73 & 57 & 66.3727638663265 & -9.37276386632645 \tabularnewline
74 & 65 & 77.6218205080587 & -12.6218205080587 \tabularnewline
75 & 67 & 99.7972165841832 & -32.7972165841832 \tabularnewline
76 & 71 & 73.0566072532419 & -2.05660725324189 \tabularnewline
77 & 76 & 81.3348544944935 & -5.33485449449346 \tabularnewline
78 & 67 & 68.2282282047864 & -1.22822820478639 \tabularnewline
79 & 110 & 74.8272017538354 & 35.1727982461646 \tabularnewline
80 & 118 & 98.4709340938534 & 19.5290659061466 \tabularnewline
81 & 99 & 82.7695044049151 & 16.2304955950849 \tabularnewline
82 & 85 & 93.5620660782976 & -8.56206607829762 \tabularnewline
83 & 107 & 110.784022872340 & -3.78402287234039 \tabularnewline
84 & 141 & 126.895693388692 & 14.1043066113076 \tabularnewline
85 & 58 & 56.9815450210338 & 1.01845497896620 \tabularnewline
86 & 65 & 67.117718661446 & -2.11771866144595 \tabularnewline
87 & 70 & 80.1277986229931 & -10.1277986229931 \tabularnewline
88 & 86 & 70.2263055166748 & 15.7736944833252 \tabularnewline
89 & 93 & 79.2560646358973 & 13.7439353641027 \tabularnewline
90 & 74 & 70.1300321267206 & 3.86996787327944 \tabularnewline
91 & 87 & 94.5733573880377 & -7.57335738803773 \tabularnewline
92 & 73 & 106.505458314919 & -33.505458314919 \tabularnewline
93 & 101 & 84.5823799120424 & 16.4176200879576 \tabularnewline
94 & 100 & 84.2536434892917 & 15.7463565107083 \tabularnewline
95 & 96 & 105.793131473077 & -9.79313147307718 \tabularnewline
96 & 157 & 128.562123007903 & 28.4378769920971 \tabularnewline
97 & 63 & 56.1922708231173 & 6.80772917688268 \tabularnewline
98 & 115 & 65.5936916768001 & 49.4063083231999 \tabularnewline
99 & 70 & 81.723808433297 & -11.7238084332969 \tabularnewline
100 & 66 & 83.9727498076714 & -17.9727498076714 \tabularnewline
101 & 67 & 88.9025328194664 & -21.9025328194664 \tabularnewline
102 & 83 & 71.6372986993604 & 11.3627013006396 \tabularnewline
103 & 79 & 92.0380082626993 & -13.0380082626993 \tabularnewline
104 & 77 & 91.2764619592525 & -14.2764619592525 \tabularnewline
105 & 102 & 94.3007181888119 & 7.6992818111881 \tabularnewline
106 & 116 & 92.7705581452625 & 23.2294418547375 \tabularnewline
107 & 100 & 103.971587758270 & -3.97158775826976 \tabularnewline
108 & 135 & 146.170874039924 & -11.1708740399241 \tabularnewline
109 & 71 & 59.5021981548414 & 11.4978018451586 \tabularnewline
110 & 60 & 87.5171761947385 & -27.5171761947385 \tabularnewline
111 & 89 & 68.8851857487601 & 20.1148142512399 \tabularnewline
112 & 74 & 71.4389346389515 & 2.56106536104855 \tabularnewline
113 & 73 & 76.3970394594134 & -3.39703945941342 \tabularnewline
114 & 91 & 76.2095992984226 & 14.7904007015774 \tabularnewline
115 & 86 & 85.9084813097835 & 0.091518690216489 \tabularnewline
116 & 74 & 86.0628792474626 & -12.0628792474626 \tabularnewline
117 & 87 & 99.7270875519514 & -12.7270875519514 \tabularnewline
118 & 87 & 102.838239976045 & -15.8382399760448 \tabularnewline
119 & 109 & 97.5259660590252 & 11.4740339409748 \tabularnewline
120 & 137 & 136.905885828239 & 0.0941141717607934 \tabularnewline
121 & 43 & 63.2396644545201 & -20.2396644545201 \tabularnewline
122 & 69 & 68.8687087401573 & 0.131291259842712 \tabularnewline
123 & 73 & 74.2291547650164 & -1.22915476501640 \tabularnewline
124 & 77 & 66.9170447748802 & 10.0829552251198 \tabularnewline
125 & 69 & 69.7169310064325 & -0.716931006432461 \tabularnewline
126 & 76 & 77.2536129219603 & -1.25361292196033 \tabularnewline
127 & 78 & 78.2061454112974 & -0.206145411297371 \tabularnewline
128 & 70 & 73.0196354980326 & -3.01963549803261 \tabularnewline
129 & 83 & 85.8653897252149 & -2.86538972521487 \tabularnewline
130 & 65 & 88.12084853166 & -23.1208485316599 \tabularnewline
131 & 110 & 93.3263300791336 & 16.6736699208664 \tabularnewline
132 & 132 & 125.029808490760 & 6.97019150924022 \tabularnewline
133 & 54 & 49.2546571025369 & 4.74534289746305 \tabularnewline
134 & 55 & 66.1521491231288 & -11.1521491231288 \tabularnewline
135 & 66 & 69.3534333911984 & -3.35343339119842 \tabularnewline
136 & 65 & 66.9423302065172 & -1.9423302065172 \tabularnewline
137 & 60 & 63.6858791137508 & -3.68587911375084 \tabularnewline
138 & 65 & 69.8710429102855 & -4.87104291028547 \tabularnewline
139 & 96 & 70.5905635284038 & 25.4094364715962 \tabularnewline
140 & 55 & 67.2565228295534 & -12.2565228295534 \tabularnewline
141 & 71 & 78.0677197600627 & -7.06771976006274 \tabularnewline
142 & 63 & 70.83685969607 & -7.83685969606996 \tabularnewline
143 & 74 & 93.7691243556734 & -19.7691243556734 \tabularnewline
144 & 106 & 114.023879247739 & -8.0238792477388 \tabularnewline
145 & 34 & 44.9249058521102 & -10.9249058521102 \tabularnewline
146 & 47 & 51.1003199004015 & -4.10031990040145 \tabularnewline
147 & 56 & 57.0629918616688 & -1.06299186166878 \tabularnewline
148 & 53 & 55.4626702062255 & -2.46267020622553 \tabularnewline
149 & 53 & 51.6868352715647 & 1.31316472843534 \tabularnewline
150 & 55 & 56.61167105174 & -1.61167105174005 \tabularnewline
151 & 67 & 68.3218912568018 & -1.32189125680181 \tabularnewline
152 & 52 & 49.129003200485 & 2.87099679951496 \tabularnewline
153 & 46 & 60.922317768643 & -14.9223177686430 \tabularnewline
154 & 51 & 53.4414431683052 & -2.44144316830518 \tabularnewline
155 & 58 & 67.2538939852502 & -9.25389398525019 \tabularnewline
156 & 91 & 87.8602272553183 & 3.13977274468171 \tabularnewline
157 & 33 & 31.8866936673493 & 1.11330633265069 \tabularnewline
158 & 40 & 40.4317564609978 & -0.431756460997846 \tabularnewline
159 & 46 & 46.6239868350619 & -0.623986835061935 \tabularnewline
160 & 45 & 44.6069382832251 & 0.39306171677493 \tabularnewline
161 & 41 & 42.983478674085 & -1.98347867408499 \tabularnewline
162 & 55 & 45.3697282045682 & 9.63027179543177 \tabularnewline
163 & 57 & 56.2348181087636 & 0.765181891236367 \tabularnewline
164 & 54 & 41.8845674455068 & 12.1154325544932 \tabularnewline
165 & 46 & 45.862980259851 & 0.137019740148986 \tabularnewline
166 & 52 & 45.6786180656055 & 6.32138193439446 \tabularnewline
167 & 48 & 56.1374797060579 & -8.13747970605792 \tabularnewline
168 & 77 & 79.5606153668407 & -2.56061536684074 \tabularnewline
169 & 30 & 28.6641418770312 & 1.33585812296876 \tabularnewline
170 & 35 & 35.6703079828056 & -0.670307982805568 \tabularnewline
171 & 42 & 41.0649225714864 & 0.935077428513608 \tabularnewline
172 & 48 & 39.8698997016363 & 8.13010029836374 \tabularnewline
173 & 44 & 38.3273921188424 & 5.67260788115765 \tabularnewline
174 & 45 & 46.3172147008443 & -1.31721470084428 \tabularnewline
175 & 46 & 51.5423765375909 & -5.54237653759093 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76995&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]126[/C][C]130.144329985792[/C][C]-4.14432998579227[/C][/ROW]
[ROW][C]14[/C][C]129[/C][C]126.500495253810[/C][C]2.49950474619028[/C][/ROW]
[ROW][C]15[/C][C]124[/C][C]122.354081329985[/C][C]1.64591867001492[/C][/ROW]
[ROW][C]16[/C][C]97[/C][C]98.6532008959596[/C][C]-1.65320089595963[/C][/ROW]
[ROW][C]17[/C][C]102[/C][C]103.969303655171[/C][C]-1.96930365517079[/C][/ROW]
[ROW][C]18[/C][C]127[/C][C]130.957447008567[/C][C]-3.95744700856656[/C][/ROW]
[ROW][C]19[/C][C]222[/C][C]124.120396173949[/C][C]97.8796038260514[/C][/ROW]
[ROW][C]20[/C][C]214[/C][C]147.196630483076[/C][C]66.8033695169239[/C][/ROW]
[ROW][C]21[/C][C]118[/C][C]247.025283584059[/C][C]-129.025283584059[/C][/ROW]
[ROW][C]22[/C][C]141[/C][C]168.447717966043[/C][C]-27.4477179660433[/C][/ROW]
[ROW][C]23[/C][C]154[/C][C]170.508706787079[/C][C]-16.5087067870791[/C][/ROW]
[ROW][C]24[/C][C]226[/C][C]306.535574045117[/C][C]-80.5355740451167[/C][/ROW]
[ROW][C]25[/C][C]89[/C][C]136.537427208121[/C][C]-47.5374272081215[/C][/ROW]
[ROW][C]26[/C][C]77[/C][C]131.007607161597[/C][C]-54.0076071615966[/C][/ROW]
[ROW][C]27[/C][C]82[/C][C]120.031537133320[/C][C]-38.0315371333203[/C][/ROW]
[ROW][C]28[/C][C]97[/C][C]91.577857547966[/C][C]5.42214245203392[/C][/ROW]
[ROW][C]29[/C][C]127[/C][C]96.7465563567895[/C][C]30.2534436432105[/C][/ROW]
[ROW][C]30[/C][C]121[/C][C]125.192476020700[/C][C]-4.19247602069954[/C][/ROW]
[ROW][C]31[/C][C]117[/C][C]159.372314553024[/C][C]-42.3723145530239[/C][/ROW]
[ROW][C]32[/C][C]117[/C][C]150.984352890117[/C][C]-33.9843528901169[/C][/ROW]
[ROW][C]33[/C][C]106[/C][C]145.979206824267[/C][C]-39.9792068242669[/C][/ROW]
[ROW][C]34[/C][C]112[/C][C]125.173964372512[/C][C]-13.1739643725124[/C][/ROW]
[ROW][C]35[/C][C]134[/C][C]130.490232858689[/C][C]3.50976714131144[/C][/ROW]
[ROW][C]36[/C][C]169[/C][C]216.313367529353[/C][C]-47.313367529353[/C][/ROW]
[ROW][C]37[/C][C]75[/C][C]91.408556262659[/C][C]-16.4085562626590[/C][/ROW]
[ROW][C]38[/C][C]108[/C][C]85.2572380806106[/C][C]22.7427619193894[/C][/ROW]
[ROW][C]39[/C][C]115[/C][C]88.5708575729344[/C][C]26.4291424270656[/C][/ROW]
[ROW][C]40[/C][C]85[/C][C]86.9470388632552[/C][C]-1.94703886325516[/C][/ROW]
[ROW][C]41[/C][C]101[/C][C]100.594290301228[/C][C]0.405709698771844[/C][/ROW]
[ROW][C]42[/C][C]108[/C][C]108.651244557116[/C][C]-0.651244557116428[/C][/ROW]
[ROW][C]43[/C][C]109[/C][C]122.915443023605[/C][C]-13.9154430236054[/C][/ROW]
[ROW][C]44[/C][C]124[/C][C]120.686466528317[/C][C]3.31353347168286[/C][/ROW]
[ROW][C]45[/C][C]105[/C][C]116.608811846146[/C][C]-11.6088118461458[/C][/ROW]
[ROW][C]46[/C][C]95[/C][C]111.142687541814[/C][C]-16.1426875418138[/C][/ROW]
[ROW][C]47[/C][C]135[/C][C]122.530013312232[/C][C]12.4699866877679[/C][/ROW]
[ROW][C]48[/C][C]164[/C][C]181.603317031655[/C][C]-17.6033170316554[/C][/ROW]
[ROW][C]49[/C][C]88[/C][C]79.372836041403[/C][C]8.62716395859707[/C][/ROW]
[ROW][C]50[/C][C]85[/C][C]93.2271108848331[/C][C]-8.2271108848331[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]94.3116887318487[/C][C]17.6883112681513[/C][/ROW]
[ROW][C]52[/C][C]87[/C][C]79.9955798602076[/C][C]7.00442013979236[/C][/ROW]
[ROW][C]53[/C][C]91[/C][C]94.7471269494024[/C][C]-3.7471269494024[/C][/ROW]
[ROW][C]54[/C][C]87[/C][C]101.318032018014[/C][C]-14.3180320180141[/C][/ROW]
[ROW][C]55[/C][C]87[/C][C]107.204925963829[/C][C]-20.2049259638287[/C][/ROW]
[ROW][C]56[/C][C]142[/C][C]111.267506769873[/C][C]30.7324932301269[/C][/ROW]
[ROW][C]57[/C][C]95[/C][C]104.005922320230[/C][C]-9.0059223202303[/C][/ROW]
[ROW][C]58[/C][C]108[/C][C]97.0067359818533[/C][C]10.9932640181467[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]123.361895894440[/C][C]15.6381041055598[/C][/ROW]
[ROW][C]60[/C][C]159[/C][C]167.705575370262[/C][C]-8.7055753702617[/C][/ROW]
[ROW][C]61[/C][C]61[/C][C]80.9401698420455[/C][C]-19.9401698420455[/C][/ROW]
[ROW][C]62[/C][C]82[/C][C]83.6285428740918[/C][C]-1.62854287409179[/C][/ROW]
[ROW][C]63[/C][C]124[/C][C]96.2000056045196[/C][C]27.7999943954804[/C][/ROW]
[ROW][C]64[/C][C]93[/C][C]79.1437619306942[/C][C]13.8562380693058[/C][/ROW]
[ROW][C]65[/C][C]108[/C][C]89.4608523965795[/C][C]18.5391476034205[/C][/ROW]
[ROW][C]66[/C][C]75[/C][C]93.7103883869437[/C][C]-18.7103883869437[/C][/ROW]
[ROW][C]67[/C][C]87[/C][C]96.3479479513994[/C][C]-9.34794795139945[/C][/ROW]
[ROW][C]68[/C][C]103[/C][C]124.399034851706[/C][C]-21.3990348517055[/C][/ROW]
[ROW][C]69[/C][C]90[/C][C]94.8592569025689[/C][C]-4.85925690256887[/C][/ROW]
[ROW][C]70[/C][C]108[/C][C]97.1815709055674[/C][C]10.8184290944326[/C][/ROW]
[ROW][C]71[/C][C]123[/C][C]124.260709860798[/C][C]-1.26070986079783[/C][/ROW]
[ROW][C]72[/C][C]129[/C][C]153.690896006709[/C][C]-24.6908960067094[/C][/ROW]
[ROW][C]73[/C][C]57[/C][C]66.3727638663265[/C][C]-9.37276386632645[/C][/ROW]
[ROW][C]74[/C][C]65[/C][C]77.6218205080587[/C][C]-12.6218205080587[/C][/ROW]
[ROW][C]75[/C][C]67[/C][C]99.7972165841832[/C][C]-32.7972165841832[/C][/ROW]
[ROW][C]76[/C][C]71[/C][C]73.0566072532419[/C][C]-2.05660725324189[/C][/ROW]
[ROW][C]77[/C][C]76[/C][C]81.3348544944935[/C][C]-5.33485449449346[/C][/ROW]
[ROW][C]78[/C][C]67[/C][C]68.2282282047864[/C][C]-1.22822820478639[/C][/ROW]
[ROW][C]79[/C][C]110[/C][C]74.8272017538354[/C][C]35.1727982461646[/C][/ROW]
[ROW][C]80[/C][C]118[/C][C]98.4709340938534[/C][C]19.5290659061466[/C][/ROW]
[ROW][C]81[/C][C]99[/C][C]82.7695044049151[/C][C]16.2304955950849[/C][/ROW]
[ROW][C]82[/C][C]85[/C][C]93.5620660782976[/C][C]-8.56206607829762[/C][/ROW]
[ROW][C]83[/C][C]107[/C][C]110.784022872340[/C][C]-3.78402287234039[/C][/ROW]
[ROW][C]84[/C][C]141[/C][C]126.895693388692[/C][C]14.1043066113076[/C][/ROW]
[ROW][C]85[/C][C]58[/C][C]56.9815450210338[/C][C]1.01845497896620[/C][/ROW]
[ROW][C]86[/C][C]65[/C][C]67.117718661446[/C][C]-2.11771866144595[/C][/ROW]
[ROW][C]87[/C][C]70[/C][C]80.1277986229931[/C][C]-10.1277986229931[/C][/ROW]
[ROW][C]88[/C][C]86[/C][C]70.2263055166748[/C][C]15.7736944833252[/C][/ROW]
[ROW][C]89[/C][C]93[/C][C]79.2560646358973[/C][C]13.7439353641027[/C][/ROW]
[ROW][C]90[/C][C]74[/C][C]70.1300321267206[/C][C]3.86996787327944[/C][/ROW]
[ROW][C]91[/C][C]87[/C][C]94.5733573880377[/C][C]-7.57335738803773[/C][/ROW]
[ROW][C]92[/C][C]73[/C][C]106.505458314919[/C][C]-33.505458314919[/C][/ROW]
[ROW][C]93[/C][C]101[/C][C]84.5823799120424[/C][C]16.4176200879576[/C][/ROW]
[ROW][C]94[/C][C]100[/C][C]84.2536434892917[/C][C]15.7463565107083[/C][/ROW]
[ROW][C]95[/C][C]96[/C][C]105.793131473077[/C][C]-9.79313147307718[/C][/ROW]
[ROW][C]96[/C][C]157[/C][C]128.562123007903[/C][C]28.4378769920971[/C][/ROW]
[ROW][C]97[/C][C]63[/C][C]56.1922708231173[/C][C]6.80772917688268[/C][/ROW]
[ROW][C]98[/C][C]115[/C][C]65.5936916768001[/C][C]49.4063083231999[/C][/ROW]
[ROW][C]99[/C][C]70[/C][C]81.723808433297[/C][C]-11.7238084332969[/C][/ROW]
[ROW][C]100[/C][C]66[/C][C]83.9727498076714[/C][C]-17.9727498076714[/C][/ROW]
[ROW][C]101[/C][C]67[/C][C]88.9025328194664[/C][C]-21.9025328194664[/C][/ROW]
[ROW][C]102[/C][C]83[/C][C]71.6372986993604[/C][C]11.3627013006396[/C][/ROW]
[ROW][C]103[/C][C]79[/C][C]92.0380082626993[/C][C]-13.0380082626993[/C][/ROW]
[ROW][C]104[/C][C]77[/C][C]91.2764619592525[/C][C]-14.2764619592525[/C][/ROW]
[ROW][C]105[/C][C]102[/C][C]94.3007181888119[/C][C]7.6992818111881[/C][/ROW]
[ROW][C]106[/C][C]116[/C][C]92.7705581452625[/C][C]23.2294418547375[/C][/ROW]
[ROW][C]107[/C][C]100[/C][C]103.971587758270[/C][C]-3.97158775826976[/C][/ROW]
[ROW][C]108[/C][C]135[/C][C]146.170874039924[/C][C]-11.1708740399241[/C][/ROW]
[ROW][C]109[/C][C]71[/C][C]59.5021981548414[/C][C]11.4978018451586[/C][/ROW]
[ROW][C]110[/C][C]60[/C][C]87.5171761947385[/C][C]-27.5171761947385[/C][/ROW]
[ROW][C]111[/C][C]89[/C][C]68.8851857487601[/C][C]20.1148142512399[/C][/ROW]
[ROW][C]112[/C][C]74[/C][C]71.4389346389515[/C][C]2.56106536104855[/C][/ROW]
[ROW][C]113[/C][C]73[/C][C]76.3970394594134[/C][C]-3.39703945941342[/C][/ROW]
[ROW][C]114[/C][C]91[/C][C]76.2095992984226[/C][C]14.7904007015774[/C][/ROW]
[ROW][C]115[/C][C]86[/C][C]85.9084813097835[/C][C]0.091518690216489[/C][/ROW]
[ROW][C]116[/C][C]74[/C][C]86.0628792474626[/C][C]-12.0628792474626[/C][/ROW]
[ROW][C]117[/C][C]87[/C][C]99.7270875519514[/C][C]-12.7270875519514[/C][/ROW]
[ROW][C]118[/C][C]87[/C][C]102.838239976045[/C][C]-15.8382399760448[/C][/ROW]
[ROW][C]119[/C][C]109[/C][C]97.5259660590252[/C][C]11.4740339409748[/C][/ROW]
[ROW][C]120[/C][C]137[/C][C]136.905885828239[/C][C]0.0941141717607934[/C][/ROW]
[ROW][C]121[/C][C]43[/C][C]63.2396644545201[/C][C]-20.2396644545201[/C][/ROW]
[ROW][C]122[/C][C]69[/C][C]68.8687087401573[/C][C]0.131291259842712[/C][/ROW]
[ROW][C]123[/C][C]73[/C][C]74.2291547650164[/C][C]-1.22915476501640[/C][/ROW]
[ROW][C]124[/C][C]77[/C][C]66.9170447748802[/C][C]10.0829552251198[/C][/ROW]
[ROW][C]125[/C][C]69[/C][C]69.7169310064325[/C][C]-0.716931006432461[/C][/ROW]
[ROW][C]126[/C][C]76[/C][C]77.2536129219603[/C][C]-1.25361292196033[/C][/ROW]
[ROW][C]127[/C][C]78[/C][C]78.2061454112974[/C][C]-0.206145411297371[/C][/ROW]
[ROW][C]128[/C][C]70[/C][C]73.0196354980326[/C][C]-3.01963549803261[/C][/ROW]
[ROW][C]129[/C][C]83[/C][C]85.8653897252149[/C][C]-2.86538972521487[/C][/ROW]
[ROW][C]130[/C][C]65[/C][C]88.12084853166[/C][C]-23.1208485316599[/C][/ROW]
[ROW][C]131[/C][C]110[/C][C]93.3263300791336[/C][C]16.6736699208664[/C][/ROW]
[ROW][C]132[/C][C]132[/C][C]125.029808490760[/C][C]6.97019150924022[/C][/ROW]
[ROW][C]133[/C][C]54[/C][C]49.2546571025369[/C][C]4.74534289746305[/C][/ROW]
[ROW][C]134[/C][C]55[/C][C]66.1521491231288[/C][C]-11.1521491231288[/C][/ROW]
[ROW][C]135[/C][C]66[/C][C]69.3534333911984[/C][C]-3.35343339119842[/C][/ROW]
[ROW][C]136[/C][C]65[/C][C]66.9423302065172[/C][C]-1.9423302065172[/C][/ROW]
[ROW][C]137[/C][C]60[/C][C]63.6858791137508[/C][C]-3.68587911375084[/C][/ROW]
[ROW][C]138[/C][C]65[/C][C]69.8710429102855[/C][C]-4.87104291028547[/C][/ROW]
[ROW][C]139[/C][C]96[/C][C]70.5905635284038[/C][C]25.4094364715962[/C][/ROW]
[ROW][C]140[/C][C]55[/C][C]67.2565228295534[/C][C]-12.2565228295534[/C][/ROW]
[ROW][C]141[/C][C]71[/C][C]78.0677197600627[/C][C]-7.06771976006274[/C][/ROW]
[ROW][C]142[/C][C]63[/C][C]70.83685969607[/C][C]-7.83685969606996[/C][/ROW]
[ROW][C]143[/C][C]74[/C][C]93.7691243556734[/C][C]-19.7691243556734[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]114.023879247739[/C][C]-8.0238792477388[/C][/ROW]
[ROW][C]145[/C][C]34[/C][C]44.9249058521102[/C][C]-10.9249058521102[/C][/ROW]
[ROW][C]146[/C][C]47[/C][C]51.1003199004015[/C][C]-4.10031990040145[/C][/ROW]
[ROW][C]147[/C][C]56[/C][C]57.0629918616688[/C][C]-1.06299186166878[/C][/ROW]
[ROW][C]148[/C][C]53[/C][C]55.4626702062255[/C][C]-2.46267020622553[/C][/ROW]
[ROW][C]149[/C][C]53[/C][C]51.6868352715647[/C][C]1.31316472843534[/C][/ROW]
[ROW][C]150[/C][C]55[/C][C]56.61167105174[/C][C]-1.61167105174005[/C][/ROW]
[ROW][C]151[/C][C]67[/C][C]68.3218912568018[/C][C]-1.32189125680181[/C][/ROW]
[ROW][C]152[/C][C]52[/C][C]49.129003200485[/C][C]2.87099679951496[/C][/ROW]
[ROW][C]153[/C][C]46[/C][C]60.922317768643[/C][C]-14.9223177686430[/C][/ROW]
[ROW][C]154[/C][C]51[/C][C]53.4414431683052[/C][C]-2.44144316830518[/C][/ROW]
[ROW][C]155[/C][C]58[/C][C]67.2538939852502[/C][C]-9.25389398525019[/C][/ROW]
[ROW][C]156[/C][C]91[/C][C]87.8602272553183[/C][C]3.13977274468171[/C][/ROW]
[ROW][C]157[/C][C]33[/C][C]31.8866936673493[/C][C]1.11330633265069[/C][/ROW]
[ROW][C]158[/C][C]40[/C][C]40.4317564609978[/C][C]-0.431756460997846[/C][/ROW]
[ROW][C]159[/C][C]46[/C][C]46.6239868350619[/C][C]-0.623986835061935[/C][/ROW]
[ROW][C]160[/C][C]45[/C][C]44.6069382832251[/C][C]0.39306171677493[/C][/ROW]
[ROW][C]161[/C][C]41[/C][C]42.983478674085[/C][C]-1.98347867408499[/C][/ROW]
[ROW][C]162[/C][C]55[/C][C]45.3697282045682[/C][C]9.63027179543177[/C][/ROW]
[ROW][C]163[/C][C]57[/C][C]56.2348181087636[/C][C]0.765181891236367[/C][/ROW]
[ROW][C]164[/C][C]54[/C][C]41.8845674455068[/C][C]12.1154325544932[/C][/ROW]
[ROW][C]165[/C][C]46[/C][C]45.862980259851[/C][C]0.137019740148986[/C][/ROW]
[ROW][C]166[/C][C]52[/C][C]45.6786180656055[/C][C]6.32138193439446[/C][/ROW]
[ROW][C]167[/C][C]48[/C][C]56.1374797060579[/C][C]-8.13747970605792[/C][/ROW]
[ROW][C]168[/C][C]77[/C][C]79.5606153668407[/C][C]-2.56061536684074[/C][/ROW]
[ROW][C]169[/C][C]30[/C][C]28.6641418770312[/C][C]1.33585812296876[/C][/ROW]
[ROW][C]170[/C][C]35[/C][C]35.6703079828056[/C][C]-0.670307982805568[/C][/ROW]
[ROW][C]171[/C][C]42[/C][C]41.0649225714864[/C][C]0.935077428513608[/C][/ROW]
[ROW][C]172[/C][C]48[/C][C]39.8698997016363[/C][C]8.13010029836374[/C][/ROW]
[ROW][C]173[/C][C]44[/C][C]38.3273921188424[/C][C]5.67260788115765[/C][/ROW]
[ROW][C]174[/C][C]45[/C][C]46.3172147008443[/C][C]-1.31721470084428[/C][/ROW]
[ROW][C]175[/C][C]46[/C][C]51.5423765375909[/C][C]-5.54237653759093[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76995&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76995&T=2

As an alternative you can also use a QR Code:  

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

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13126130.144329985792-4.14432998579227
14129126.5004952538102.49950474619028
15124122.3540813299851.64591867001492
169798.6532008959596-1.65320089595963
17102103.969303655171-1.96930365517079
18127130.957447008567-3.95744700856656
19222124.12039617394997.8796038260514
20214147.19663048307666.8033695169239
21118247.025283584059-129.025283584059
22141168.447717966043-27.4477179660433
23154170.508706787079-16.5087067870791
24226306.535574045117-80.5355740451167
2589136.537427208121-47.5374272081215
2677131.007607161597-54.0076071615966
2782120.031537133320-38.0315371333203
289791.5778575479665.42214245203392
2912796.746556356789530.2534436432105
30121125.192476020700-4.19247602069954
31117159.372314553024-42.3723145530239
32117150.984352890117-33.9843528901169
33106145.979206824267-39.9792068242669
34112125.173964372512-13.1739643725124
35134130.4902328586893.50976714131144
36169216.313367529353-47.313367529353
377591.408556262659-16.4085562626590
3810885.257238080610622.7427619193894
3911588.570857572934426.4291424270656
408586.9470388632552-1.94703886325516
41101100.5942903012280.405709698771844
42108108.651244557116-0.651244557116428
43109122.915443023605-13.9154430236054
44124120.6864665283173.31353347168286
45105116.608811846146-11.6088118461458
4695111.142687541814-16.1426875418138
47135122.53001331223212.4699866877679
48164181.603317031655-17.6033170316554
498879.3728360414038.62716395859707
508593.2271108848331-8.2271108848331
5111294.311688731848717.6883112681513
528779.99557986020767.00442013979236
539194.7471269494024-3.7471269494024
5487101.318032018014-14.3180320180141
5587107.204925963829-20.2049259638287
56142111.26750676987330.7324932301269
5795104.005922320230-9.0059223202303
5810897.006735981853310.9932640181467
59139123.36189589444015.6381041055598
60159167.705575370262-8.7055753702617
616180.9401698420455-19.9401698420455
628283.6285428740918-1.62854287409179
6312496.200005604519627.7999943954804
649379.143761930694213.8562380693058
6510889.460852396579518.5391476034205
667593.7103883869437-18.7103883869437
678796.3479479513994-9.34794795139945
68103124.399034851706-21.3990348517055
699094.8592569025689-4.85925690256887
7010897.181570905567410.8184290944326
71123124.260709860798-1.26070986079783
72129153.690896006709-24.6908960067094
735766.3727638663265-9.37276386632645
746577.6218205080587-12.6218205080587
756799.7972165841832-32.7972165841832
767173.0566072532419-2.05660725324189
777681.3348544944935-5.33485449449346
786768.2282282047864-1.22822820478639
7911074.827201753835435.1727982461646
8011898.470934093853419.5290659061466
819982.769504404915116.2304955950849
828593.5620660782976-8.56206607829762
83107110.784022872340-3.78402287234039
84141126.89569338869214.1043066113076
855856.98154502103381.01845497896620
866567.117718661446-2.11771866144595
877080.1277986229931-10.1277986229931
888670.226305516674815.7736944833252
899379.256064635897313.7439353641027
907470.13003212672063.86996787327944
918794.5733573880377-7.57335738803773
9273106.505458314919-33.505458314919
9310184.582379912042416.4176200879576
9410084.253643489291715.7463565107083
9596105.793131473077-9.79313147307718
96157128.56212300790328.4378769920971
976356.19227082311736.80772917688268
9811565.593691676800149.4063083231999
997081.723808433297-11.7238084332969
1006683.9727498076714-17.9727498076714
1016788.9025328194664-21.9025328194664
1028371.637298699360411.3627013006396
1037992.0380082626993-13.0380082626993
1047791.2764619592525-14.2764619592525
10510294.30071818881197.6992818111881
10611692.770558145262523.2294418547375
107100103.971587758270-3.97158775826976
108135146.170874039924-11.1708740399241
1097159.502198154841411.4978018451586
1106087.5171761947385-27.5171761947385
1118968.885185748760120.1148142512399
1127471.43893463895152.56106536104855
1137376.3970394594134-3.39703945941342
1149176.209599298422614.7904007015774
1158685.90848130978350.091518690216489
1167486.0628792474626-12.0628792474626
1178799.7270875519514-12.7270875519514
11887102.838239976045-15.8382399760448
11910997.525966059025211.4740339409748
120137136.9058858282390.0941141717607934
1214363.2396644545201-20.2396644545201
1226968.86870874015730.131291259842712
1237374.2291547650164-1.22915476501640
1247766.917044774880210.0829552251198
1256969.7169310064325-0.716931006432461
1267677.2536129219603-1.25361292196033
1277878.2061454112974-0.206145411297371
1287073.0196354980326-3.01963549803261
1298385.8653897252149-2.86538972521487
1306588.12084853166-23.1208485316599
13111093.326330079133616.6736699208664
132132125.0298084907606.97019150924022
1335449.25465710253694.74534289746305
1345566.1521491231288-11.1521491231288
1356669.3534333911984-3.35343339119842
1366566.9423302065172-1.9423302065172
1376063.6858791137508-3.68587911375084
1386569.8710429102855-4.87104291028547
1399670.590563528403825.4094364715962
1405567.2565228295534-12.2565228295534
1417178.0677197600627-7.06771976006274
1426370.83685969607-7.83685969606996
1437493.7691243556734-19.7691243556734
144106114.023879247739-8.0238792477388
1453444.9249058521102-10.9249058521102
1464751.1003199004015-4.10031990040145
1475657.0629918616688-1.06299186166878
1485355.4626702062255-2.46267020622553
1495351.68683527156471.31316472843534
1505556.61167105174-1.61167105174005
1516768.3218912568018-1.32189125680181
1525249.1290032004852.87099679951496
1534660.922317768643-14.9223177686430
1545153.4414431683052-2.44144316830518
1555867.2538939852502-9.25389398525019
1569187.86022725531833.13977274468171
1573331.88669366734931.11330633265069
1584040.4317564609978-0.431756460997846
1594646.6239868350619-0.623986835061935
1604544.60693828322510.39306171677493
1614142.983478674085-1.98347867408499
1625545.36972820456829.63027179543177
1635756.23481810876360.765181891236367
1645441.884567445506812.1154325544932
1654645.8629802598510.137019740148986
1665245.67861806560556.32138193439446
1674856.1374797060579-8.13747970605792
1687779.5606153668407-2.56061536684074
1693028.66414187703121.33585812296876
1703535.6703079828056-0.670307982805568
1714241.06492257148640.935077428513608
1724839.86989970163638.13010029836374
1734438.32739211884245.67260788115765
1744546.3172147008443-1.31721470084428
1754651.5423765375909-5.54237653759093







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
17642.487589385171718.390676898651566.5845018716918
17740.04515186365615.505769557665264.5845341696468
17842.245424494083117.057818492445667.4330304957205
17944.881764976237018.885810054059870.8777198984143
18068.178316383782638.489052634470397.867580133095
18125.52582057454460.40573790041882150.6459032486705
18230.66182911909034.2714997716849857.0521584664957
18336.01284946426207.8729340012293964.1527649272945
18437.6081268388538.228003722234666.9882499554713
18534.49949597540935.0868669771578563.9121249736607
18637.86738963814986.4030050065344769.3317742697651
18740.5791551960481-0.29287096264088381.451181354737

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
176 & 42.4875893851717 & 18.3906768986515 & 66.5845018716918 \tabularnewline
177 & 40.045151863656 & 15.5057695576652 & 64.5845341696468 \tabularnewline
178 & 42.2454244940831 & 17.0578184924456 & 67.4330304957205 \tabularnewline
179 & 44.8817649762370 & 18.8858100540598 & 70.8777198984143 \tabularnewline
180 & 68.1783163837826 & 38.4890526344703 & 97.867580133095 \tabularnewline
181 & 25.5258205745446 & 0.405737900418821 & 50.6459032486705 \tabularnewline
182 & 30.6618291190903 & 4.27149977168498 & 57.0521584664957 \tabularnewline
183 & 36.0128494642620 & 7.87293400122939 & 64.1527649272945 \tabularnewline
184 & 37.608126838853 & 8.2280037222346 & 66.9882499554713 \tabularnewline
185 & 34.4994959754093 & 5.08686697715785 & 63.9121249736607 \tabularnewline
186 & 37.8673896381498 & 6.40300500653447 & 69.3317742697651 \tabularnewline
187 & 40.5791551960481 & -0.292870962640883 & 81.451181354737 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76995&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]176[/C][C]42.4875893851717[/C][C]18.3906768986515[/C][C]66.5845018716918[/C][/ROW]
[ROW][C]177[/C][C]40.045151863656[/C][C]15.5057695576652[/C][C]64.5845341696468[/C][/ROW]
[ROW][C]178[/C][C]42.2454244940831[/C][C]17.0578184924456[/C][C]67.4330304957205[/C][/ROW]
[ROW][C]179[/C][C]44.8817649762370[/C][C]18.8858100540598[/C][C]70.8777198984143[/C][/ROW]
[ROW][C]180[/C][C]68.1783163837826[/C][C]38.4890526344703[/C][C]97.867580133095[/C][/ROW]
[ROW][C]181[/C][C]25.5258205745446[/C][C]0.405737900418821[/C][C]50.6459032486705[/C][/ROW]
[ROW][C]182[/C][C]30.6618291190903[/C][C]4.27149977168498[/C][C]57.0521584664957[/C][/ROW]
[ROW][C]183[/C][C]36.0128494642620[/C][C]7.87293400122939[/C][C]64.1527649272945[/C][/ROW]
[ROW][C]184[/C][C]37.608126838853[/C][C]8.2280037222346[/C][C]66.9882499554713[/C][/ROW]
[ROW][C]185[/C][C]34.4994959754093[/C][C]5.08686697715785[/C][C]63.9121249736607[/C][/ROW]
[ROW][C]186[/C][C]37.8673896381498[/C][C]6.40300500653447[/C][C]69.3317742697651[/C][/ROW]
[ROW][C]187[/C][C]40.5791551960481[/C][C]-0.292870962640883[/C][C]81.451181354737[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76995&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76995&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
17642.487589385171718.390676898651566.5845018716918
17740.04515186365615.505769557665264.5845341696468
17842.245424494083117.057818492445667.4330304957205
17944.881764976237018.885810054059870.8777198984143
18068.178316383782638.489052634470397.867580133095
18125.52582057454460.40573790041882150.6459032486705
18230.66182911909034.2714997716849857.0521584664957
18336.01284946426207.8729340012293964.1527649272945
18437.6081268388538.228003722234666.9882499554713
18534.49949597540935.0868669771578563.9121249736607
18637.86738963814986.4030050065344769.3317742697651
18740.5791551960481-0.29287096264088381.451181354737



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