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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 17 Dec 2017 20:10:54 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/17/t1513537906h6545fdk9nf5hsa.htm/, Retrieved Wed, 15 May 2024 07:46:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310045, Retrieved Wed, 15 May 2024 07:46:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-17 19:10:54] [7d4109329f7bcd62aea707c2c6a4ab66] [Current]
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Dataseries X:
46.8
52.8
58.3
54.5
64.7
58.3
57.5
56.7
56
66.2
58.2
53.9
53.1
54.4
59.2
57.8
61.5
60.1
60.1
58.4
56.8
63.8
53.9
63.1
55.7
54.9
64.6
60.2
63.9
69.9
58.5
52
66.7
72
68.4
70.8
56.5
62.6
66.5
69.2
63.7
73.6
64.1
53.8
72.2
80.2
69.1
72
66.3
72.5
88.9
88.6
73.7
86
70
71.6
90.5
85.7
84.8
81.1
70.8
65.7
86.2
76.1
79.8
85.2
75.8
69.4
85
75
77.7
68.5
68.4
65
73.2
67.9
76.5
85.5
71.7
57.9
75.5
78.2
75.7
67.1
74.6
66.2
74.9
69.5
76.1
82.3
82.1
60.5
71.2
81.4
74.5
61.4
83.8
85.4
91.6
91.9
86.3
96.8
81
70.8
98.8
94.5
84.5
92.8
81.2
75.7
86.7
87.5
87.8
103.1
96.4
77.1
106.5
95.7
95.3
86.6
89.6
81.9
98.4
92.9
83.9
121.8
103.9
87.5
118.9
109
112.2
100.1
111.3
102.7
122.6
124.8
120.3
118.3
108.7
100.7
124
103.1
115
112.7
101.7
111.5
114.4
112.5
107.2
136.7
107.8
94.6
110.7
126.6
127.9
109.2
87.1
90.8
94.5
103.3
103.2
105.4
103.9
79.8
105.6
113
87.7
110
90.3
108.9
105.1
113
100.4
110.1
114.7
88.6
117.2
127.7
107.8
102.8
100.2
108.4
114.2
94.4
92.2
115.3
102
86.3
112
112.5
109.5
105.9
115.3
126.2
112.2
112.5
106.9
90.6
75.6
78.8
101.8
93.9
100
89.2
97.7
121.1
108.8
92.9
113.6
112.6
98.8
78




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310045&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310045&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310045&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.316463752936246
beta0
gamma0.252208839738264

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.316463752936246 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.252208839738264 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310045&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]0.316463752936246[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.252208839738264[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310045&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310045&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
alpha0.316463752936246
beta0
gamma0.252208839738264







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1353.152.6816637497310.418336250268958
1454.454.004464850040.395535149960011
1559.258.87007936248360.329920637516423
1657.857.71379093942990.0862090605700843
1761.561.8061005864264-0.306100586426403
1860.160.1634979259351-0.0634979259351454
1960.158.49390312477981.60609687522022
2058.457.91614349553070.483856504469308
2156.857.3153009105868-0.515300910586802
2263.867.4361363869941-3.63613638699415
2353.958.3398098826353-4.43980988263528
2463.152.845330065298510.2546699347015
2555.755.22138602506750.478613974932529
2654.956.6119386928187-1.71193869281874
2764.660.96016699839723.63983300160281
2860.260.7377884499765-0.537788449976482
2963.964.7559698277679-0.855969827767886
3069.962.90892919984246.99107080015764
3158.563.6383886900112-5.13838869001122
325260.6704370951515-8.67043709515152
3366.757.00395098171349.69604901828663
347270.31665650560091.68334349439911
3568.462.10033606295626.29966393704377
3670.862.19218647346898.60781352653107
3756.562.0422021168162-5.54220211681623
3862.661.2161614187721.38383858122799
3966.568.0591102562427-1.5591102562427
4069.265.3046379952493.89536200475104
4163.771.0773258864233-7.37732588642332
4273.668.45531254343145.14468745656859
4364.166.2785726304264-2.1785726304264
4453.863.4151970749071-9.61519707490709
4572.262.67656032585189.52343967414818
4680.275.11248090646395.08751909353607
4769.168.10327205448410.996727945515914
487266.77140870186025.22859129813985
4966.362.92000041566713.37999958433291
5072.566.27120245618166.2287975438184
5188.974.735761814023814.1642381859762
5288.677.63671083534110.963289164659
5373.784.1728794337662-10.4728794337662
548683.06209075457042.93790924542955
557077.9776542229459-7.97765422294592
5671.671.34770284491770.252297155082289
5790.578.137659589385412.3623404106146
5885.792.5599637271648-6.8599637271648
5984.879.51543955372785.28456044627215
6081.180.06317470376651.03682529623353
6170.873.6157116934709-2.81571169347089
6265.775.8042155287126-10.1042155287126
6386.280.69300947763525.5069905223648
6476.180.1998802233438-4.09988022334379
6579.878.23773008753251.56226991246746
6685.283.22394734360411.97605265639586
6775.875.9688360003936-0.168836000393554
6869.473.1606012984923-3.76060129849226
698580.72697166594584.27302833405416
707589.0700643928785-14.0700643928785
7177.776.27491507957451.4250849204255
7268.574.994304859613-6.49430485961298
7368.466.20448285357382.19551714642625
746568.5212534579244-3.52125345792443
7573.277.6431781377345-4.44317813773446
7667.972.6739960372687-4.77399603726869
7776.571.45136317494075.04863682505928
7885.577.27162030947538.2283796905247
7971.772.0515521859689-0.35155218596887
8057.968.7348774821887-10.8348774821887
8175.574.58699141091250.913008589087497
8278.278.2293030226565-0.0293030226565349
8375.772.82488917940862.87511082059144
8467.170.7407482176835-3.64074821768349
8574.664.51283796813610.087162031864
8666.268.3350349986545-2.13503499865455
8774.977.851138110696-2.95113811069604
8869.573.2086108357728-3.70861083577277
8976.174.04304175392732.05695824607267
9082.379.46718350002572.83281649997429
9182.171.167635462005110.9323645379949
9260.569.3188614834774-8.81886148347738
9371.278.3807496509495-7.18074965094949
9481.479.3438635152542.05613648474601
9574.574.9808930709151-0.480893070915101
9661.470.6672050023824-9.26720500238236
9783.864.994121146369218.8058788536308
9885.469.431399735973915.9686002640261
9991.685.59591603937496.00408396062514
10091.983.07788779803698.82211220196308
10186.389.4622857300911-3.16228573009109
10296.894.22554241351382.57445758648622
1038185.757163081984-4.75716308198398
10470.874.58048595365-3.78048595364996
10598.887.031958721875811.7680412781242
10694.596.5888350167118-2.08883501671181
10784.589.405961062525-4.90596106252497
10892.881.089063579511311.7109364204887
10981.287.1190997325116-5.91909973251158
11075.782.7198016383893-7.0198016383893
11186.790.2615295500167-3.5615295500167
11287.585.1250838509712.374916149029
11387.887.37185726553790.428142734462085
114103.194.22548191425638.87451808574369
11596.486.2997348624910.10026513751
11677.179.2867844824764-2.18678448247643
117106.596.143333245630910.3566667543691
11895.7103.102958822404-7.40295882240403
11995.393.35240020597241.9475997940276
12086.689.6564224155409-3.05642241554088
12189.687.93402778074961.66597221925036
12281.985.5705016858106-3.67050168581056
12398.495.42447849777242.97552150222756
12492.993.1054518811819-0.205451881181901
12583.994.2851419957414-10.3851419957413
126121.899.442804211795222.3571957882048
127103.995.07318493996898.82681506003114
12887.584.63543602141232.86456397858765
129118.9107.02735391499811.8726460850017
130109111.424254630249-2.42425463024922
131112.2104.1999827911748.0000172088258
132100.1100.859519205525-0.759519205525024
133111.3100.67512635896310.6248736410366
134102.799.54916583261753.15083416738247
135122.6115.1214569997897.47854300021056
136124.8112.8539396505411.9460603494595
137120.3115.8959290252754.40407097472509
138118.3135.451599642405-17.1515996424049
139108.7113.729698913341-5.02969891334098
140100.796.03626701319994.66373298680013
141124123.5348233005610.465176699438643
142103.1121.671135194401-18.5711351944007
143115110.8612772343284.1387227656723
144112.7104.5087037114578.19129628854292
145101.7109.184817099857-7.48481709985711
146111.5100.9816397279310.5183602720699
147114.4120.090574580526-5.69057458052649
148112.5114.375359409199-1.87535940919946
149107.2111.8217804708-4.62178047079983
150136.7123.75371401363512.9462859863652
151107.8113.546011879962-5.74601187996151
15294.697.2252840170791-2.62528401707911
153110.7121.200219177864-10.5002191778635
154126.6112.68497676303113.9150232369693
155127.9116.01868700903811.8813129909622
156109.2112.349343001618-3.14934300161751
15787.1110.686793559675-23.5867935596753
15890.8100.495985069547-9.69598506954729
15994.5109.341640465947-14.841640465947
160103.3101.7458598272191.55414017278108
161103.2100.0421262495743.15787375042628
162105.4116.127616331757-10.7276163317565
163103.997.53843438539566.36156561460444
16479.887.0003782236097-7.20037822360972
165105.6105.3913235846940.208676415305945
166113104.4887524940858.51124750591462
16787.7105.857876959844-18.1578769598443
16811091.88508112532918.114918874671
16990.393.6759251952729-3.37592519527291
170108.992.252769939228116.6472300607719
171105.1108.633004360316-3.53300436031606
172113107.4335510342535.5664489657468
173100.4107.140528943692-6.74052894369167
174110.1118.067051765601-7.96705176560138
175114.7102.7565154882211.9434845117801
17688.690.7371307885421-2.13713078854208
177117.2113.7317578981273.46824210187272
178127.7115.28622424348112.4137757565191
179107.8112.512893895336-4.71289389533574
180102.8108.5425517953-5.74255179529952
181100.298.61332668481911.5866733151809
182108.4102.2790908325126.12090916748792
183114.2112.1307572308732.06924276912656
18494.4114.334436261437-19.934436261437
18592.2103.908549897139-11.7085498971393
186115.3112.5745943441722.72540565582798
187102104.068418639934-2.06841863993384
18886.386.05716514047890.242834859521111
189112109.7913482499512.20865175004948
190112.5112.3396061414550.160393858544992
191109.5103.4442224805346.05577751946596
192105.9102.8080169044513.09198309554944
193115.397.06415079322418.235849206776
194126.2106.89465483961219.3053451603885
195112.2120.742873608921-8.5428736089206
196112.5115.485384039774-2.98538403977439
197106.9111.496374192024-4.59637419202365
19890.6126.682623506025-36.0826235060252
19975.6104.94411999894-29.3441199989403
20078.879.9213312103773-1.12133121037729
201101.8101.7258133727240.0741866272761769
20293.9103.128642438038-9.22864243803782
20310093.13032469127476.86967530872532
20489.292.5630077494751-3.36300774947513
20597.787.74574673469889.95425326530116
206121.194.391200974269826.7087990257302
207108.8105.4191224546613.38087754533872
20892.9105.033198294879-12.1331982948792
209113.698.243598002229815.3564019977702
210112.6113.107895006411-0.50789500641099
21198.8102.950249593299-4.15024959329914
2127889.4332892367503-11.4332892367503

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 53.1 & 52.681663749731 & 0.418336250268958 \tabularnewline
14 & 54.4 & 54.00446485004 & 0.395535149960011 \tabularnewline
15 & 59.2 & 58.8700793624836 & 0.329920637516423 \tabularnewline
16 & 57.8 & 57.7137909394299 & 0.0862090605700843 \tabularnewline
17 & 61.5 & 61.8061005864264 & -0.306100586426403 \tabularnewline
18 & 60.1 & 60.1634979259351 & -0.0634979259351454 \tabularnewline
19 & 60.1 & 58.4939031247798 & 1.60609687522022 \tabularnewline
20 & 58.4 & 57.9161434955307 & 0.483856504469308 \tabularnewline
21 & 56.8 & 57.3153009105868 & -0.515300910586802 \tabularnewline
22 & 63.8 & 67.4361363869941 & -3.63613638699415 \tabularnewline
23 & 53.9 & 58.3398098826353 & -4.43980988263528 \tabularnewline
24 & 63.1 & 52.8453300652985 & 10.2546699347015 \tabularnewline
25 & 55.7 & 55.2213860250675 & 0.478613974932529 \tabularnewline
26 & 54.9 & 56.6119386928187 & -1.71193869281874 \tabularnewline
27 & 64.6 & 60.9601669983972 & 3.63983300160281 \tabularnewline
28 & 60.2 & 60.7377884499765 & -0.537788449976482 \tabularnewline
29 & 63.9 & 64.7559698277679 & -0.855969827767886 \tabularnewline
30 & 69.9 & 62.9089291998424 & 6.99107080015764 \tabularnewline
31 & 58.5 & 63.6383886900112 & -5.13838869001122 \tabularnewline
32 & 52 & 60.6704370951515 & -8.67043709515152 \tabularnewline
33 & 66.7 & 57.0039509817134 & 9.69604901828663 \tabularnewline
34 & 72 & 70.3166565056009 & 1.68334349439911 \tabularnewline
35 & 68.4 & 62.1003360629562 & 6.29966393704377 \tabularnewline
36 & 70.8 & 62.1921864734689 & 8.60781352653107 \tabularnewline
37 & 56.5 & 62.0422021168162 & -5.54220211681623 \tabularnewline
38 & 62.6 & 61.216161418772 & 1.38383858122799 \tabularnewline
39 & 66.5 & 68.0591102562427 & -1.5591102562427 \tabularnewline
40 & 69.2 & 65.304637995249 & 3.89536200475104 \tabularnewline
41 & 63.7 & 71.0773258864233 & -7.37732588642332 \tabularnewline
42 & 73.6 & 68.4553125434314 & 5.14468745656859 \tabularnewline
43 & 64.1 & 66.2785726304264 & -2.1785726304264 \tabularnewline
44 & 53.8 & 63.4151970749071 & -9.61519707490709 \tabularnewline
45 & 72.2 & 62.6765603258518 & 9.52343967414818 \tabularnewline
46 & 80.2 & 75.1124809064639 & 5.08751909353607 \tabularnewline
47 & 69.1 & 68.1032720544841 & 0.996727945515914 \tabularnewline
48 & 72 & 66.7714087018602 & 5.22859129813985 \tabularnewline
49 & 66.3 & 62.9200004156671 & 3.37999958433291 \tabularnewline
50 & 72.5 & 66.2712024561816 & 6.2287975438184 \tabularnewline
51 & 88.9 & 74.7357618140238 & 14.1642381859762 \tabularnewline
52 & 88.6 & 77.636710835341 & 10.963289164659 \tabularnewline
53 & 73.7 & 84.1728794337662 & -10.4728794337662 \tabularnewline
54 & 86 & 83.0620907545704 & 2.93790924542955 \tabularnewline
55 & 70 & 77.9776542229459 & -7.97765422294592 \tabularnewline
56 & 71.6 & 71.3477028449177 & 0.252297155082289 \tabularnewline
57 & 90.5 & 78.1376595893854 & 12.3623404106146 \tabularnewline
58 & 85.7 & 92.5599637271648 & -6.8599637271648 \tabularnewline
59 & 84.8 & 79.5154395537278 & 5.28456044627215 \tabularnewline
60 & 81.1 & 80.0631747037665 & 1.03682529623353 \tabularnewline
61 & 70.8 & 73.6157116934709 & -2.81571169347089 \tabularnewline
62 & 65.7 & 75.8042155287126 & -10.1042155287126 \tabularnewline
63 & 86.2 & 80.6930094776352 & 5.5069905223648 \tabularnewline
64 & 76.1 & 80.1998802233438 & -4.09988022334379 \tabularnewline
65 & 79.8 & 78.2377300875325 & 1.56226991246746 \tabularnewline
66 & 85.2 & 83.2239473436041 & 1.97605265639586 \tabularnewline
67 & 75.8 & 75.9688360003936 & -0.168836000393554 \tabularnewline
68 & 69.4 & 73.1606012984923 & -3.76060129849226 \tabularnewline
69 & 85 & 80.7269716659458 & 4.27302833405416 \tabularnewline
70 & 75 & 89.0700643928785 & -14.0700643928785 \tabularnewline
71 & 77.7 & 76.2749150795745 & 1.4250849204255 \tabularnewline
72 & 68.5 & 74.994304859613 & -6.49430485961298 \tabularnewline
73 & 68.4 & 66.2044828535738 & 2.19551714642625 \tabularnewline
74 & 65 & 68.5212534579244 & -3.52125345792443 \tabularnewline
75 & 73.2 & 77.6431781377345 & -4.44317813773446 \tabularnewline
76 & 67.9 & 72.6739960372687 & -4.77399603726869 \tabularnewline
77 & 76.5 & 71.4513631749407 & 5.04863682505928 \tabularnewline
78 & 85.5 & 77.2716203094753 & 8.2283796905247 \tabularnewline
79 & 71.7 & 72.0515521859689 & -0.35155218596887 \tabularnewline
80 & 57.9 & 68.7348774821887 & -10.8348774821887 \tabularnewline
81 & 75.5 & 74.5869914109125 & 0.913008589087497 \tabularnewline
82 & 78.2 & 78.2293030226565 & -0.0293030226565349 \tabularnewline
83 & 75.7 & 72.8248891794086 & 2.87511082059144 \tabularnewline
84 & 67.1 & 70.7407482176835 & -3.64074821768349 \tabularnewline
85 & 74.6 & 64.512837968136 & 10.087162031864 \tabularnewline
86 & 66.2 & 68.3350349986545 & -2.13503499865455 \tabularnewline
87 & 74.9 & 77.851138110696 & -2.95113811069604 \tabularnewline
88 & 69.5 & 73.2086108357728 & -3.70861083577277 \tabularnewline
89 & 76.1 & 74.0430417539273 & 2.05695824607267 \tabularnewline
90 & 82.3 & 79.4671835000257 & 2.83281649997429 \tabularnewline
91 & 82.1 & 71.1676354620051 & 10.9323645379949 \tabularnewline
92 & 60.5 & 69.3188614834774 & -8.81886148347738 \tabularnewline
93 & 71.2 & 78.3807496509495 & -7.18074965094949 \tabularnewline
94 & 81.4 & 79.343863515254 & 2.05613648474601 \tabularnewline
95 & 74.5 & 74.9808930709151 & -0.480893070915101 \tabularnewline
96 & 61.4 & 70.6672050023824 & -9.26720500238236 \tabularnewline
97 & 83.8 & 64.9941211463692 & 18.8058788536308 \tabularnewline
98 & 85.4 & 69.4313997359739 & 15.9686002640261 \tabularnewline
99 & 91.6 & 85.5959160393749 & 6.00408396062514 \tabularnewline
100 & 91.9 & 83.0778877980369 & 8.82211220196308 \tabularnewline
101 & 86.3 & 89.4622857300911 & -3.16228573009109 \tabularnewline
102 & 96.8 & 94.2255424135138 & 2.57445758648622 \tabularnewline
103 & 81 & 85.757163081984 & -4.75716308198398 \tabularnewline
104 & 70.8 & 74.58048595365 & -3.78048595364996 \tabularnewline
105 & 98.8 & 87.0319587218758 & 11.7680412781242 \tabularnewline
106 & 94.5 & 96.5888350167118 & -2.08883501671181 \tabularnewline
107 & 84.5 & 89.405961062525 & -4.90596106252497 \tabularnewline
108 & 92.8 & 81.0890635795113 & 11.7109364204887 \tabularnewline
109 & 81.2 & 87.1190997325116 & -5.91909973251158 \tabularnewline
110 & 75.7 & 82.7198016383893 & -7.0198016383893 \tabularnewline
111 & 86.7 & 90.2615295500167 & -3.5615295500167 \tabularnewline
112 & 87.5 & 85.125083850971 & 2.374916149029 \tabularnewline
113 & 87.8 & 87.3718572655379 & 0.428142734462085 \tabularnewline
114 & 103.1 & 94.2254819142563 & 8.87451808574369 \tabularnewline
115 & 96.4 & 86.29973486249 & 10.10026513751 \tabularnewline
116 & 77.1 & 79.2867844824764 & -2.18678448247643 \tabularnewline
117 & 106.5 & 96.1433332456309 & 10.3566667543691 \tabularnewline
118 & 95.7 & 103.102958822404 & -7.40295882240403 \tabularnewline
119 & 95.3 & 93.3524002059724 & 1.9475997940276 \tabularnewline
120 & 86.6 & 89.6564224155409 & -3.05642241554088 \tabularnewline
121 & 89.6 & 87.9340277807496 & 1.66597221925036 \tabularnewline
122 & 81.9 & 85.5705016858106 & -3.67050168581056 \tabularnewline
123 & 98.4 & 95.4244784977724 & 2.97552150222756 \tabularnewline
124 & 92.9 & 93.1054518811819 & -0.205451881181901 \tabularnewline
125 & 83.9 & 94.2851419957414 & -10.3851419957413 \tabularnewline
126 & 121.8 & 99.4428042117952 & 22.3571957882048 \tabularnewline
127 & 103.9 & 95.0731849399689 & 8.82681506003114 \tabularnewline
128 & 87.5 & 84.6354360214123 & 2.86456397858765 \tabularnewline
129 & 118.9 & 107.027353914998 & 11.8726460850017 \tabularnewline
130 & 109 & 111.424254630249 & -2.42425463024922 \tabularnewline
131 & 112.2 & 104.199982791174 & 8.0000172088258 \tabularnewline
132 & 100.1 & 100.859519205525 & -0.759519205525024 \tabularnewline
133 & 111.3 & 100.675126358963 & 10.6248736410366 \tabularnewline
134 & 102.7 & 99.5491658326175 & 3.15083416738247 \tabularnewline
135 & 122.6 & 115.121456999789 & 7.47854300021056 \tabularnewline
136 & 124.8 & 112.85393965054 & 11.9460603494595 \tabularnewline
137 & 120.3 & 115.895929025275 & 4.40407097472509 \tabularnewline
138 & 118.3 & 135.451599642405 & -17.1515996424049 \tabularnewline
139 & 108.7 & 113.729698913341 & -5.02969891334098 \tabularnewline
140 & 100.7 & 96.0362670131999 & 4.66373298680013 \tabularnewline
141 & 124 & 123.534823300561 & 0.465176699438643 \tabularnewline
142 & 103.1 & 121.671135194401 & -18.5711351944007 \tabularnewline
143 & 115 & 110.861277234328 & 4.1387227656723 \tabularnewline
144 & 112.7 & 104.508703711457 & 8.19129628854292 \tabularnewline
145 & 101.7 & 109.184817099857 & -7.48481709985711 \tabularnewline
146 & 111.5 & 100.98163972793 & 10.5183602720699 \tabularnewline
147 & 114.4 & 120.090574580526 & -5.69057458052649 \tabularnewline
148 & 112.5 & 114.375359409199 & -1.87535940919946 \tabularnewline
149 & 107.2 & 111.8217804708 & -4.62178047079983 \tabularnewline
150 & 136.7 & 123.753714013635 & 12.9462859863652 \tabularnewline
151 & 107.8 & 113.546011879962 & -5.74601187996151 \tabularnewline
152 & 94.6 & 97.2252840170791 & -2.62528401707911 \tabularnewline
153 & 110.7 & 121.200219177864 & -10.5002191778635 \tabularnewline
154 & 126.6 & 112.684976763031 & 13.9150232369693 \tabularnewline
155 & 127.9 & 116.018687009038 & 11.8813129909622 \tabularnewline
156 & 109.2 & 112.349343001618 & -3.14934300161751 \tabularnewline
157 & 87.1 & 110.686793559675 & -23.5867935596753 \tabularnewline
158 & 90.8 & 100.495985069547 & -9.69598506954729 \tabularnewline
159 & 94.5 & 109.341640465947 & -14.841640465947 \tabularnewline
160 & 103.3 & 101.745859827219 & 1.55414017278108 \tabularnewline
161 & 103.2 & 100.042126249574 & 3.15787375042628 \tabularnewline
162 & 105.4 & 116.127616331757 & -10.7276163317565 \tabularnewline
163 & 103.9 & 97.5384343853956 & 6.36156561460444 \tabularnewline
164 & 79.8 & 87.0003782236097 & -7.20037822360972 \tabularnewline
165 & 105.6 & 105.391323584694 & 0.208676415305945 \tabularnewline
166 & 113 & 104.488752494085 & 8.51124750591462 \tabularnewline
167 & 87.7 & 105.857876959844 & -18.1578769598443 \tabularnewline
168 & 110 & 91.885081125329 & 18.114918874671 \tabularnewline
169 & 90.3 & 93.6759251952729 & -3.37592519527291 \tabularnewline
170 & 108.9 & 92.2527699392281 & 16.6472300607719 \tabularnewline
171 & 105.1 & 108.633004360316 & -3.53300436031606 \tabularnewline
172 & 113 & 107.433551034253 & 5.5664489657468 \tabularnewline
173 & 100.4 & 107.140528943692 & -6.74052894369167 \tabularnewline
174 & 110.1 & 118.067051765601 & -7.96705176560138 \tabularnewline
175 & 114.7 & 102.75651548822 & 11.9434845117801 \tabularnewline
176 & 88.6 & 90.7371307885421 & -2.13713078854208 \tabularnewline
177 & 117.2 & 113.731757898127 & 3.46824210187272 \tabularnewline
178 & 127.7 & 115.286224243481 & 12.4137757565191 \tabularnewline
179 & 107.8 & 112.512893895336 & -4.71289389533574 \tabularnewline
180 & 102.8 & 108.5425517953 & -5.74255179529952 \tabularnewline
181 & 100.2 & 98.6133266848191 & 1.5866733151809 \tabularnewline
182 & 108.4 & 102.279090832512 & 6.12090916748792 \tabularnewline
183 & 114.2 & 112.130757230873 & 2.06924276912656 \tabularnewline
184 & 94.4 & 114.334436261437 & -19.934436261437 \tabularnewline
185 & 92.2 & 103.908549897139 & -11.7085498971393 \tabularnewline
186 & 115.3 & 112.574594344172 & 2.72540565582798 \tabularnewline
187 & 102 & 104.068418639934 & -2.06841863993384 \tabularnewline
188 & 86.3 & 86.0571651404789 & 0.242834859521111 \tabularnewline
189 & 112 & 109.791348249951 & 2.20865175004948 \tabularnewline
190 & 112.5 & 112.339606141455 & 0.160393858544992 \tabularnewline
191 & 109.5 & 103.444222480534 & 6.05577751946596 \tabularnewline
192 & 105.9 & 102.808016904451 & 3.09198309554944 \tabularnewline
193 & 115.3 & 97.064150793224 & 18.235849206776 \tabularnewline
194 & 126.2 & 106.894654839612 & 19.3053451603885 \tabularnewline
195 & 112.2 & 120.742873608921 & -8.5428736089206 \tabularnewline
196 & 112.5 & 115.485384039774 & -2.98538403977439 \tabularnewline
197 & 106.9 & 111.496374192024 & -4.59637419202365 \tabularnewline
198 & 90.6 & 126.682623506025 & -36.0826235060252 \tabularnewline
199 & 75.6 & 104.94411999894 & -29.3441199989403 \tabularnewline
200 & 78.8 & 79.9213312103773 & -1.12133121037729 \tabularnewline
201 & 101.8 & 101.725813372724 & 0.0741866272761769 \tabularnewline
202 & 93.9 & 103.128642438038 & -9.22864243803782 \tabularnewline
203 & 100 & 93.1303246912747 & 6.86967530872532 \tabularnewline
204 & 89.2 & 92.5630077494751 & -3.36300774947513 \tabularnewline
205 & 97.7 & 87.7457467346988 & 9.95425326530116 \tabularnewline
206 & 121.1 & 94.3912009742698 & 26.7087990257302 \tabularnewline
207 & 108.8 & 105.419122454661 & 3.38087754533872 \tabularnewline
208 & 92.9 & 105.033198294879 & -12.1331982948792 \tabularnewline
209 & 113.6 & 98.2435980022298 & 15.3564019977702 \tabularnewline
210 & 112.6 & 113.107895006411 & -0.50789500641099 \tabularnewline
211 & 98.8 & 102.950249593299 & -4.15024959329914 \tabularnewline
212 & 78 & 89.4332892367503 & -11.4332892367503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310045&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]53.1[/C][C]52.681663749731[/C][C]0.418336250268958[/C][/ROW]
[ROW][C]14[/C][C]54.4[/C][C]54.00446485004[/C][C]0.395535149960011[/C][/ROW]
[ROW][C]15[/C][C]59.2[/C][C]58.8700793624836[/C][C]0.329920637516423[/C][/ROW]
[ROW][C]16[/C][C]57.8[/C][C]57.7137909394299[/C][C]0.0862090605700843[/C][/ROW]
[ROW][C]17[/C][C]61.5[/C][C]61.8061005864264[/C][C]-0.306100586426403[/C][/ROW]
[ROW][C]18[/C][C]60.1[/C][C]60.1634979259351[/C][C]-0.0634979259351454[/C][/ROW]
[ROW][C]19[/C][C]60.1[/C][C]58.4939031247798[/C][C]1.60609687522022[/C][/ROW]
[ROW][C]20[/C][C]58.4[/C][C]57.9161434955307[/C][C]0.483856504469308[/C][/ROW]
[ROW][C]21[/C][C]56.8[/C][C]57.3153009105868[/C][C]-0.515300910586802[/C][/ROW]
[ROW][C]22[/C][C]63.8[/C][C]67.4361363869941[/C][C]-3.63613638699415[/C][/ROW]
[ROW][C]23[/C][C]53.9[/C][C]58.3398098826353[/C][C]-4.43980988263528[/C][/ROW]
[ROW][C]24[/C][C]63.1[/C][C]52.8453300652985[/C][C]10.2546699347015[/C][/ROW]
[ROW][C]25[/C][C]55.7[/C][C]55.2213860250675[/C][C]0.478613974932529[/C][/ROW]
[ROW][C]26[/C][C]54.9[/C][C]56.6119386928187[/C][C]-1.71193869281874[/C][/ROW]
[ROW][C]27[/C][C]64.6[/C][C]60.9601669983972[/C][C]3.63983300160281[/C][/ROW]
[ROW][C]28[/C][C]60.2[/C][C]60.7377884499765[/C][C]-0.537788449976482[/C][/ROW]
[ROW][C]29[/C][C]63.9[/C][C]64.7559698277679[/C][C]-0.855969827767886[/C][/ROW]
[ROW][C]30[/C][C]69.9[/C][C]62.9089291998424[/C][C]6.99107080015764[/C][/ROW]
[ROW][C]31[/C][C]58.5[/C][C]63.6383886900112[/C][C]-5.13838869001122[/C][/ROW]
[ROW][C]32[/C][C]52[/C][C]60.6704370951515[/C][C]-8.67043709515152[/C][/ROW]
[ROW][C]33[/C][C]66.7[/C][C]57.0039509817134[/C][C]9.69604901828663[/C][/ROW]
[ROW][C]34[/C][C]72[/C][C]70.3166565056009[/C][C]1.68334349439911[/C][/ROW]
[ROW][C]35[/C][C]68.4[/C][C]62.1003360629562[/C][C]6.29966393704377[/C][/ROW]
[ROW][C]36[/C][C]70.8[/C][C]62.1921864734689[/C][C]8.60781352653107[/C][/ROW]
[ROW][C]37[/C][C]56.5[/C][C]62.0422021168162[/C][C]-5.54220211681623[/C][/ROW]
[ROW][C]38[/C][C]62.6[/C][C]61.216161418772[/C][C]1.38383858122799[/C][/ROW]
[ROW][C]39[/C][C]66.5[/C][C]68.0591102562427[/C][C]-1.5591102562427[/C][/ROW]
[ROW][C]40[/C][C]69.2[/C][C]65.304637995249[/C][C]3.89536200475104[/C][/ROW]
[ROW][C]41[/C][C]63.7[/C][C]71.0773258864233[/C][C]-7.37732588642332[/C][/ROW]
[ROW][C]42[/C][C]73.6[/C][C]68.4553125434314[/C][C]5.14468745656859[/C][/ROW]
[ROW][C]43[/C][C]64.1[/C][C]66.2785726304264[/C][C]-2.1785726304264[/C][/ROW]
[ROW][C]44[/C][C]53.8[/C][C]63.4151970749071[/C][C]-9.61519707490709[/C][/ROW]
[ROW][C]45[/C][C]72.2[/C][C]62.6765603258518[/C][C]9.52343967414818[/C][/ROW]
[ROW][C]46[/C][C]80.2[/C][C]75.1124809064639[/C][C]5.08751909353607[/C][/ROW]
[ROW][C]47[/C][C]69.1[/C][C]68.1032720544841[/C][C]0.996727945515914[/C][/ROW]
[ROW][C]48[/C][C]72[/C][C]66.7714087018602[/C][C]5.22859129813985[/C][/ROW]
[ROW][C]49[/C][C]66.3[/C][C]62.9200004156671[/C][C]3.37999958433291[/C][/ROW]
[ROW][C]50[/C][C]72.5[/C][C]66.2712024561816[/C][C]6.2287975438184[/C][/ROW]
[ROW][C]51[/C][C]88.9[/C][C]74.7357618140238[/C][C]14.1642381859762[/C][/ROW]
[ROW][C]52[/C][C]88.6[/C][C]77.636710835341[/C][C]10.963289164659[/C][/ROW]
[ROW][C]53[/C][C]73.7[/C][C]84.1728794337662[/C][C]-10.4728794337662[/C][/ROW]
[ROW][C]54[/C][C]86[/C][C]83.0620907545704[/C][C]2.93790924542955[/C][/ROW]
[ROW][C]55[/C][C]70[/C][C]77.9776542229459[/C][C]-7.97765422294592[/C][/ROW]
[ROW][C]56[/C][C]71.6[/C][C]71.3477028449177[/C][C]0.252297155082289[/C][/ROW]
[ROW][C]57[/C][C]90.5[/C][C]78.1376595893854[/C][C]12.3623404106146[/C][/ROW]
[ROW][C]58[/C][C]85.7[/C][C]92.5599637271648[/C][C]-6.8599637271648[/C][/ROW]
[ROW][C]59[/C][C]84.8[/C][C]79.5154395537278[/C][C]5.28456044627215[/C][/ROW]
[ROW][C]60[/C][C]81.1[/C][C]80.0631747037665[/C][C]1.03682529623353[/C][/ROW]
[ROW][C]61[/C][C]70.8[/C][C]73.6157116934709[/C][C]-2.81571169347089[/C][/ROW]
[ROW][C]62[/C][C]65.7[/C][C]75.8042155287126[/C][C]-10.1042155287126[/C][/ROW]
[ROW][C]63[/C][C]86.2[/C][C]80.6930094776352[/C][C]5.5069905223648[/C][/ROW]
[ROW][C]64[/C][C]76.1[/C][C]80.1998802233438[/C][C]-4.09988022334379[/C][/ROW]
[ROW][C]65[/C][C]79.8[/C][C]78.2377300875325[/C][C]1.56226991246746[/C][/ROW]
[ROW][C]66[/C][C]85.2[/C][C]83.2239473436041[/C][C]1.97605265639586[/C][/ROW]
[ROW][C]67[/C][C]75.8[/C][C]75.9688360003936[/C][C]-0.168836000393554[/C][/ROW]
[ROW][C]68[/C][C]69.4[/C][C]73.1606012984923[/C][C]-3.76060129849226[/C][/ROW]
[ROW][C]69[/C][C]85[/C][C]80.7269716659458[/C][C]4.27302833405416[/C][/ROW]
[ROW][C]70[/C][C]75[/C][C]89.0700643928785[/C][C]-14.0700643928785[/C][/ROW]
[ROW][C]71[/C][C]77.7[/C][C]76.2749150795745[/C][C]1.4250849204255[/C][/ROW]
[ROW][C]72[/C][C]68.5[/C][C]74.994304859613[/C][C]-6.49430485961298[/C][/ROW]
[ROW][C]73[/C][C]68.4[/C][C]66.2044828535738[/C][C]2.19551714642625[/C][/ROW]
[ROW][C]74[/C][C]65[/C][C]68.5212534579244[/C][C]-3.52125345792443[/C][/ROW]
[ROW][C]75[/C][C]73.2[/C][C]77.6431781377345[/C][C]-4.44317813773446[/C][/ROW]
[ROW][C]76[/C][C]67.9[/C][C]72.6739960372687[/C][C]-4.77399603726869[/C][/ROW]
[ROW][C]77[/C][C]76.5[/C][C]71.4513631749407[/C][C]5.04863682505928[/C][/ROW]
[ROW][C]78[/C][C]85.5[/C][C]77.2716203094753[/C][C]8.2283796905247[/C][/ROW]
[ROW][C]79[/C][C]71.7[/C][C]72.0515521859689[/C][C]-0.35155218596887[/C][/ROW]
[ROW][C]80[/C][C]57.9[/C][C]68.7348774821887[/C][C]-10.8348774821887[/C][/ROW]
[ROW][C]81[/C][C]75.5[/C][C]74.5869914109125[/C][C]0.913008589087497[/C][/ROW]
[ROW][C]82[/C][C]78.2[/C][C]78.2293030226565[/C][C]-0.0293030226565349[/C][/ROW]
[ROW][C]83[/C][C]75.7[/C][C]72.8248891794086[/C][C]2.87511082059144[/C][/ROW]
[ROW][C]84[/C][C]67.1[/C][C]70.7407482176835[/C][C]-3.64074821768349[/C][/ROW]
[ROW][C]85[/C][C]74.6[/C][C]64.512837968136[/C][C]10.087162031864[/C][/ROW]
[ROW][C]86[/C][C]66.2[/C][C]68.3350349986545[/C][C]-2.13503499865455[/C][/ROW]
[ROW][C]87[/C][C]74.9[/C][C]77.851138110696[/C][C]-2.95113811069604[/C][/ROW]
[ROW][C]88[/C][C]69.5[/C][C]73.2086108357728[/C][C]-3.70861083577277[/C][/ROW]
[ROW][C]89[/C][C]76.1[/C][C]74.0430417539273[/C][C]2.05695824607267[/C][/ROW]
[ROW][C]90[/C][C]82.3[/C][C]79.4671835000257[/C][C]2.83281649997429[/C][/ROW]
[ROW][C]91[/C][C]82.1[/C][C]71.1676354620051[/C][C]10.9323645379949[/C][/ROW]
[ROW][C]92[/C][C]60.5[/C][C]69.3188614834774[/C][C]-8.81886148347738[/C][/ROW]
[ROW][C]93[/C][C]71.2[/C][C]78.3807496509495[/C][C]-7.18074965094949[/C][/ROW]
[ROW][C]94[/C][C]81.4[/C][C]79.343863515254[/C][C]2.05613648474601[/C][/ROW]
[ROW][C]95[/C][C]74.5[/C][C]74.9808930709151[/C][C]-0.480893070915101[/C][/ROW]
[ROW][C]96[/C][C]61.4[/C][C]70.6672050023824[/C][C]-9.26720500238236[/C][/ROW]
[ROW][C]97[/C][C]83.8[/C][C]64.9941211463692[/C][C]18.8058788536308[/C][/ROW]
[ROW][C]98[/C][C]85.4[/C][C]69.4313997359739[/C][C]15.9686002640261[/C][/ROW]
[ROW][C]99[/C][C]91.6[/C][C]85.5959160393749[/C][C]6.00408396062514[/C][/ROW]
[ROW][C]100[/C][C]91.9[/C][C]83.0778877980369[/C][C]8.82211220196308[/C][/ROW]
[ROW][C]101[/C][C]86.3[/C][C]89.4622857300911[/C][C]-3.16228573009109[/C][/ROW]
[ROW][C]102[/C][C]96.8[/C][C]94.2255424135138[/C][C]2.57445758648622[/C][/ROW]
[ROW][C]103[/C][C]81[/C][C]85.757163081984[/C][C]-4.75716308198398[/C][/ROW]
[ROW][C]104[/C][C]70.8[/C][C]74.58048595365[/C][C]-3.78048595364996[/C][/ROW]
[ROW][C]105[/C][C]98.8[/C][C]87.0319587218758[/C][C]11.7680412781242[/C][/ROW]
[ROW][C]106[/C][C]94.5[/C][C]96.5888350167118[/C][C]-2.08883501671181[/C][/ROW]
[ROW][C]107[/C][C]84.5[/C][C]89.405961062525[/C][C]-4.90596106252497[/C][/ROW]
[ROW][C]108[/C][C]92.8[/C][C]81.0890635795113[/C][C]11.7109364204887[/C][/ROW]
[ROW][C]109[/C][C]81.2[/C][C]87.1190997325116[/C][C]-5.91909973251158[/C][/ROW]
[ROW][C]110[/C][C]75.7[/C][C]82.7198016383893[/C][C]-7.0198016383893[/C][/ROW]
[ROW][C]111[/C][C]86.7[/C][C]90.2615295500167[/C][C]-3.5615295500167[/C][/ROW]
[ROW][C]112[/C][C]87.5[/C][C]85.125083850971[/C][C]2.374916149029[/C][/ROW]
[ROW][C]113[/C][C]87.8[/C][C]87.3718572655379[/C][C]0.428142734462085[/C][/ROW]
[ROW][C]114[/C][C]103.1[/C][C]94.2254819142563[/C][C]8.87451808574369[/C][/ROW]
[ROW][C]115[/C][C]96.4[/C][C]86.29973486249[/C][C]10.10026513751[/C][/ROW]
[ROW][C]116[/C][C]77.1[/C][C]79.2867844824764[/C][C]-2.18678448247643[/C][/ROW]
[ROW][C]117[/C][C]106.5[/C][C]96.1433332456309[/C][C]10.3566667543691[/C][/ROW]
[ROW][C]118[/C][C]95.7[/C][C]103.102958822404[/C][C]-7.40295882240403[/C][/ROW]
[ROW][C]119[/C][C]95.3[/C][C]93.3524002059724[/C][C]1.9475997940276[/C][/ROW]
[ROW][C]120[/C][C]86.6[/C][C]89.6564224155409[/C][C]-3.05642241554088[/C][/ROW]
[ROW][C]121[/C][C]89.6[/C][C]87.9340277807496[/C][C]1.66597221925036[/C][/ROW]
[ROW][C]122[/C][C]81.9[/C][C]85.5705016858106[/C][C]-3.67050168581056[/C][/ROW]
[ROW][C]123[/C][C]98.4[/C][C]95.4244784977724[/C][C]2.97552150222756[/C][/ROW]
[ROW][C]124[/C][C]92.9[/C][C]93.1054518811819[/C][C]-0.205451881181901[/C][/ROW]
[ROW][C]125[/C][C]83.9[/C][C]94.2851419957414[/C][C]-10.3851419957413[/C][/ROW]
[ROW][C]126[/C][C]121.8[/C][C]99.4428042117952[/C][C]22.3571957882048[/C][/ROW]
[ROW][C]127[/C][C]103.9[/C][C]95.0731849399689[/C][C]8.82681506003114[/C][/ROW]
[ROW][C]128[/C][C]87.5[/C][C]84.6354360214123[/C][C]2.86456397858765[/C][/ROW]
[ROW][C]129[/C][C]118.9[/C][C]107.027353914998[/C][C]11.8726460850017[/C][/ROW]
[ROW][C]130[/C][C]109[/C][C]111.424254630249[/C][C]-2.42425463024922[/C][/ROW]
[ROW][C]131[/C][C]112.2[/C][C]104.199982791174[/C][C]8.0000172088258[/C][/ROW]
[ROW][C]132[/C][C]100.1[/C][C]100.859519205525[/C][C]-0.759519205525024[/C][/ROW]
[ROW][C]133[/C][C]111.3[/C][C]100.675126358963[/C][C]10.6248736410366[/C][/ROW]
[ROW][C]134[/C][C]102.7[/C][C]99.5491658326175[/C][C]3.15083416738247[/C][/ROW]
[ROW][C]135[/C][C]122.6[/C][C]115.121456999789[/C][C]7.47854300021056[/C][/ROW]
[ROW][C]136[/C][C]124.8[/C][C]112.85393965054[/C][C]11.9460603494595[/C][/ROW]
[ROW][C]137[/C][C]120.3[/C][C]115.895929025275[/C][C]4.40407097472509[/C][/ROW]
[ROW][C]138[/C][C]118.3[/C][C]135.451599642405[/C][C]-17.1515996424049[/C][/ROW]
[ROW][C]139[/C][C]108.7[/C][C]113.729698913341[/C][C]-5.02969891334098[/C][/ROW]
[ROW][C]140[/C][C]100.7[/C][C]96.0362670131999[/C][C]4.66373298680013[/C][/ROW]
[ROW][C]141[/C][C]124[/C][C]123.534823300561[/C][C]0.465176699438643[/C][/ROW]
[ROW][C]142[/C][C]103.1[/C][C]121.671135194401[/C][C]-18.5711351944007[/C][/ROW]
[ROW][C]143[/C][C]115[/C][C]110.861277234328[/C][C]4.1387227656723[/C][/ROW]
[ROW][C]144[/C][C]112.7[/C][C]104.508703711457[/C][C]8.19129628854292[/C][/ROW]
[ROW][C]145[/C][C]101.7[/C][C]109.184817099857[/C][C]-7.48481709985711[/C][/ROW]
[ROW][C]146[/C][C]111.5[/C][C]100.98163972793[/C][C]10.5183602720699[/C][/ROW]
[ROW][C]147[/C][C]114.4[/C][C]120.090574580526[/C][C]-5.69057458052649[/C][/ROW]
[ROW][C]148[/C][C]112.5[/C][C]114.375359409199[/C][C]-1.87535940919946[/C][/ROW]
[ROW][C]149[/C][C]107.2[/C][C]111.8217804708[/C][C]-4.62178047079983[/C][/ROW]
[ROW][C]150[/C][C]136.7[/C][C]123.753714013635[/C][C]12.9462859863652[/C][/ROW]
[ROW][C]151[/C][C]107.8[/C][C]113.546011879962[/C][C]-5.74601187996151[/C][/ROW]
[ROW][C]152[/C][C]94.6[/C][C]97.2252840170791[/C][C]-2.62528401707911[/C][/ROW]
[ROW][C]153[/C][C]110.7[/C][C]121.200219177864[/C][C]-10.5002191778635[/C][/ROW]
[ROW][C]154[/C][C]126.6[/C][C]112.684976763031[/C][C]13.9150232369693[/C][/ROW]
[ROW][C]155[/C][C]127.9[/C][C]116.018687009038[/C][C]11.8813129909622[/C][/ROW]
[ROW][C]156[/C][C]109.2[/C][C]112.349343001618[/C][C]-3.14934300161751[/C][/ROW]
[ROW][C]157[/C][C]87.1[/C][C]110.686793559675[/C][C]-23.5867935596753[/C][/ROW]
[ROW][C]158[/C][C]90.8[/C][C]100.495985069547[/C][C]-9.69598506954729[/C][/ROW]
[ROW][C]159[/C][C]94.5[/C][C]109.341640465947[/C][C]-14.841640465947[/C][/ROW]
[ROW][C]160[/C][C]103.3[/C][C]101.745859827219[/C][C]1.55414017278108[/C][/ROW]
[ROW][C]161[/C][C]103.2[/C][C]100.042126249574[/C][C]3.15787375042628[/C][/ROW]
[ROW][C]162[/C][C]105.4[/C][C]116.127616331757[/C][C]-10.7276163317565[/C][/ROW]
[ROW][C]163[/C][C]103.9[/C][C]97.5384343853956[/C][C]6.36156561460444[/C][/ROW]
[ROW][C]164[/C][C]79.8[/C][C]87.0003782236097[/C][C]-7.20037822360972[/C][/ROW]
[ROW][C]165[/C][C]105.6[/C][C]105.391323584694[/C][C]0.208676415305945[/C][/ROW]
[ROW][C]166[/C][C]113[/C][C]104.488752494085[/C][C]8.51124750591462[/C][/ROW]
[ROW][C]167[/C][C]87.7[/C][C]105.857876959844[/C][C]-18.1578769598443[/C][/ROW]
[ROW][C]168[/C][C]110[/C][C]91.885081125329[/C][C]18.114918874671[/C][/ROW]
[ROW][C]169[/C][C]90.3[/C][C]93.6759251952729[/C][C]-3.37592519527291[/C][/ROW]
[ROW][C]170[/C][C]108.9[/C][C]92.2527699392281[/C][C]16.6472300607719[/C][/ROW]
[ROW][C]171[/C][C]105.1[/C][C]108.633004360316[/C][C]-3.53300436031606[/C][/ROW]
[ROW][C]172[/C][C]113[/C][C]107.433551034253[/C][C]5.5664489657468[/C][/ROW]
[ROW][C]173[/C][C]100.4[/C][C]107.140528943692[/C][C]-6.74052894369167[/C][/ROW]
[ROW][C]174[/C][C]110.1[/C][C]118.067051765601[/C][C]-7.96705176560138[/C][/ROW]
[ROW][C]175[/C][C]114.7[/C][C]102.75651548822[/C][C]11.9434845117801[/C][/ROW]
[ROW][C]176[/C][C]88.6[/C][C]90.7371307885421[/C][C]-2.13713078854208[/C][/ROW]
[ROW][C]177[/C][C]117.2[/C][C]113.731757898127[/C][C]3.46824210187272[/C][/ROW]
[ROW][C]178[/C][C]127.7[/C][C]115.286224243481[/C][C]12.4137757565191[/C][/ROW]
[ROW][C]179[/C][C]107.8[/C][C]112.512893895336[/C][C]-4.71289389533574[/C][/ROW]
[ROW][C]180[/C][C]102.8[/C][C]108.5425517953[/C][C]-5.74255179529952[/C][/ROW]
[ROW][C]181[/C][C]100.2[/C][C]98.6133266848191[/C][C]1.5866733151809[/C][/ROW]
[ROW][C]182[/C][C]108.4[/C][C]102.279090832512[/C][C]6.12090916748792[/C][/ROW]
[ROW][C]183[/C][C]114.2[/C][C]112.130757230873[/C][C]2.06924276912656[/C][/ROW]
[ROW][C]184[/C][C]94.4[/C][C]114.334436261437[/C][C]-19.934436261437[/C][/ROW]
[ROW][C]185[/C][C]92.2[/C][C]103.908549897139[/C][C]-11.7085498971393[/C][/ROW]
[ROW][C]186[/C][C]115.3[/C][C]112.574594344172[/C][C]2.72540565582798[/C][/ROW]
[ROW][C]187[/C][C]102[/C][C]104.068418639934[/C][C]-2.06841863993384[/C][/ROW]
[ROW][C]188[/C][C]86.3[/C][C]86.0571651404789[/C][C]0.242834859521111[/C][/ROW]
[ROW][C]189[/C][C]112[/C][C]109.791348249951[/C][C]2.20865175004948[/C][/ROW]
[ROW][C]190[/C][C]112.5[/C][C]112.339606141455[/C][C]0.160393858544992[/C][/ROW]
[ROW][C]191[/C][C]109.5[/C][C]103.444222480534[/C][C]6.05577751946596[/C][/ROW]
[ROW][C]192[/C][C]105.9[/C][C]102.808016904451[/C][C]3.09198309554944[/C][/ROW]
[ROW][C]193[/C][C]115.3[/C][C]97.064150793224[/C][C]18.235849206776[/C][/ROW]
[ROW][C]194[/C][C]126.2[/C][C]106.894654839612[/C][C]19.3053451603885[/C][/ROW]
[ROW][C]195[/C][C]112.2[/C][C]120.742873608921[/C][C]-8.5428736089206[/C][/ROW]
[ROW][C]196[/C][C]112.5[/C][C]115.485384039774[/C][C]-2.98538403977439[/C][/ROW]
[ROW][C]197[/C][C]106.9[/C][C]111.496374192024[/C][C]-4.59637419202365[/C][/ROW]
[ROW][C]198[/C][C]90.6[/C][C]126.682623506025[/C][C]-36.0826235060252[/C][/ROW]
[ROW][C]199[/C][C]75.6[/C][C]104.94411999894[/C][C]-29.3441199989403[/C][/ROW]
[ROW][C]200[/C][C]78.8[/C][C]79.9213312103773[/C][C]-1.12133121037729[/C][/ROW]
[ROW][C]201[/C][C]101.8[/C][C]101.725813372724[/C][C]0.0741866272761769[/C][/ROW]
[ROW][C]202[/C][C]93.9[/C][C]103.128642438038[/C][C]-9.22864243803782[/C][/ROW]
[ROW][C]203[/C][C]100[/C][C]93.1303246912747[/C][C]6.86967530872532[/C][/ROW]
[ROW][C]204[/C][C]89.2[/C][C]92.5630077494751[/C][C]-3.36300774947513[/C][/ROW]
[ROW][C]205[/C][C]97.7[/C][C]87.7457467346988[/C][C]9.95425326530116[/C][/ROW]
[ROW][C]206[/C][C]121.1[/C][C]94.3912009742698[/C][C]26.7087990257302[/C][/ROW]
[ROW][C]207[/C][C]108.8[/C][C]105.419122454661[/C][C]3.38087754533872[/C][/ROW]
[ROW][C]208[/C][C]92.9[/C][C]105.033198294879[/C][C]-12.1331982948792[/C][/ROW]
[ROW][C]209[/C][C]113.6[/C][C]98.2435980022298[/C][C]15.3564019977702[/C][/ROW]
[ROW][C]210[/C][C]112.6[/C][C]113.107895006411[/C][C]-0.50789500641099[/C][/ROW]
[ROW][C]211[/C][C]98.8[/C][C]102.950249593299[/C][C]-4.15024959329914[/C][/ROW]
[ROW][C]212[/C][C]78[/C][C]89.4332892367503[/C][C]-11.4332892367503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310045&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310045&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
1353.152.6816637497310.418336250268958
1454.454.004464850040.395535149960011
1559.258.87007936248360.329920637516423
1657.857.71379093942990.0862090605700843
1761.561.8061005864264-0.306100586426403
1860.160.1634979259351-0.0634979259351454
1960.158.49390312477981.60609687522022
2058.457.91614349553070.483856504469308
2156.857.3153009105868-0.515300910586802
2263.867.4361363869941-3.63613638699415
2353.958.3398098826353-4.43980988263528
2463.152.845330065298510.2546699347015
2555.755.22138602506750.478613974932529
2654.956.6119386928187-1.71193869281874
2764.660.96016699839723.63983300160281
2860.260.7377884499765-0.537788449976482
2963.964.7559698277679-0.855969827767886
3069.962.90892919984246.99107080015764
3158.563.6383886900112-5.13838869001122
325260.6704370951515-8.67043709515152
3366.757.00395098171349.69604901828663
347270.31665650560091.68334349439911
3568.462.10033606295626.29966393704377
3670.862.19218647346898.60781352653107
3756.562.0422021168162-5.54220211681623
3862.661.2161614187721.38383858122799
3966.568.0591102562427-1.5591102562427
4069.265.3046379952493.89536200475104
4163.771.0773258864233-7.37732588642332
4273.668.45531254343145.14468745656859
4364.166.2785726304264-2.1785726304264
4453.863.4151970749071-9.61519707490709
4572.262.67656032585189.52343967414818
4680.275.11248090646395.08751909353607
4769.168.10327205448410.996727945515914
487266.77140870186025.22859129813985
4966.362.92000041566713.37999958433291
5072.566.27120245618166.2287975438184
5188.974.735761814023814.1642381859762
5288.677.63671083534110.963289164659
5373.784.1728794337662-10.4728794337662
548683.06209075457042.93790924542955
557077.9776542229459-7.97765422294592
5671.671.34770284491770.252297155082289
5790.578.137659589385412.3623404106146
5885.792.5599637271648-6.8599637271648
5984.879.51543955372785.28456044627215
6081.180.06317470376651.03682529623353
6170.873.6157116934709-2.81571169347089
6265.775.8042155287126-10.1042155287126
6386.280.69300947763525.5069905223648
6476.180.1998802233438-4.09988022334379
6579.878.23773008753251.56226991246746
6685.283.22394734360411.97605265639586
6775.875.9688360003936-0.168836000393554
6869.473.1606012984923-3.76060129849226
698580.72697166594584.27302833405416
707589.0700643928785-14.0700643928785
7177.776.27491507957451.4250849204255
7268.574.994304859613-6.49430485961298
7368.466.20448285357382.19551714642625
746568.5212534579244-3.52125345792443
7573.277.6431781377345-4.44317813773446
7667.972.6739960372687-4.77399603726869
7776.571.45136317494075.04863682505928
7885.577.27162030947538.2283796905247
7971.772.0515521859689-0.35155218596887
8057.968.7348774821887-10.8348774821887
8175.574.58699141091250.913008589087497
8278.278.2293030226565-0.0293030226565349
8375.772.82488917940862.87511082059144
8467.170.7407482176835-3.64074821768349
8574.664.51283796813610.087162031864
8666.268.3350349986545-2.13503499865455
8774.977.851138110696-2.95113811069604
8869.573.2086108357728-3.70861083577277
8976.174.04304175392732.05695824607267
9082.379.46718350002572.83281649997429
9182.171.167635462005110.9323645379949
9260.569.3188614834774-8.81886148347738
9371.278.3807496509495-7.18074965094949
9481.479.3438635152542.05613648474601
9574.574.9808930709151-0.480893070915101
9661.470.6672050023824-9.26720500238236
9783.864.994121146369218.8058788536308
9885.469.431399735973915.9686002640261
9991.685.59591603937496.00408396062514
10091.983.07788779803698.82211220196308
10186.389.4622857300911-3.16228573009109
10296.894.22554241351382.57445758648622
1038185.757163081984-4.75716308198398
10470.874.58048595365-3.78048595364996
10598.887.031958721875811.7680412781242
10694.596.5888350167118-2.08883501671181
10784.589.405961062525-4.90596106252497
10892.881.089063579511311.7109364204887
10981.287.1190997325116-5.91909973251158
11075.782.7198016383893-7.0198016383893
11186.790.2615295500167-3.5615295500167
11287.585.1250838509712.374916149029
11387.887.37185726553790.428142734462085
114103.194.22548191425638.87451808574369
11596.486.2997348624910.10026513751
11677.179.2867844824764-2.18678448247643
117106.596.143333245630910.3566667543691
11895.7103.102958822404-7.40295882240403
11995.393.35240020597241.9475997940276
12086.689.6564224155409-3.05642241554088
12189.687.93402778074961.66597221925036
12281.985.5705016858106-3.67050168581056
12398.495.42447849777242.97552150222756
12492.993.1054518811819-0.205451881181901
12583.994.2851419957414-10.3851419957413
126121.899.442804211795222.3571957882048
127103.995.07318493996898.82681506003114
12887.584.63543602141232.86456397858765
129118.9107.02735391499811.8726460850017
130109111.424254630249-2.42425463024922
131112.2104.1999827911748.0000172088258
132100.1100.859519205525-0.759519205525024
133111.3100.67512635896310.6248736410366
134102.799.54916583261753.15083416738247
135122.6115.1214569997897.47854300021056
136124.8112.8539396505411.9460603494595
137120.3115.8959290252754.40407097472509
138118.3135.451599642405-17.1515996424049
139108.7113.729698913341-5.02969891334098
140100.796.03626701319994.66373298680013
141124123.5348233005610.465176699438643
142103.1121.671135194401-18.5711351944007
143115110.8612772343284.1387227656723
144112.7104.5087037114578.19129628854292
145101.7109.184817099857-7.48481709985711
146111.5100.9816397279310.5183602720699
147114.4120.090574580526-5.69057458052649
148112.5114.375359409199-1.87535940919946
149107.2111.8217804708-4.62178047079983
150136.7123.75371401363512.9462859863652
151107.8113.546011879962-5.74601187996151
15294.697.2252840170791-2.62528401707911
153110.7121.200219177864-10.5002191778635
154126.6112.68497676303113.9150232369693
155127.9116.01868700903811.8813129909622
156109.2112.349343001618-3.14934300161751
15787.1110.686793559675-23.5867935596753
15890.8100.495985069547-9.69598506954729
15994.5109.341640465947-14.841640465947
160103.3101.7458598272191.55414017278108
161103.2100.0421262495743.15787375042628
162105.4116.127616331757-10.7276163317565
163103.997.53843438539566.36156561460444
16479.887.0003782236097-7.20037822360972
165105.6105.3913235846940.208676415305945
166113104.4887524940858.51124750591462
16787.7105.857876959844-18.1578769598443
16811091.88508112532918.114918874671
16990.393.6759251952729-3.37592519527291
170108.992.252769939228116.6472300607719
171105.1108.633004360316-3.53300436031606
172113107.4335510342535.5664489657468
173100.4107.140528943692-6.74052894369167
174110.1118.067051765601-7.96705176560138
175114.7102.7565154882211.9434845117801
17688.690.7371307885421-2.13713078854208
177117.2113.7317578981273.46824210187272
178127.7115.28622424348112.4137757565191
179107.8112.512893895336-4.71289389533574
180102.8108.5425517953-5.74255179529952
181100.298.61332668481911.5866733151809
182108.4102.2790908325126.12090916748792
183114.2112.1307572308732.06924276912656
18494.4114.334436261437-19.934436261437
18592.2103.908549897139-11.7085498971393
186115.3112.5745943441722.72540565582798
187102104.068418639934-2.06841863993384
18886.386.05716514047890.242834859521111
189112109.7913482499512.20865175004948
190112.5112.3396061414550.160393858544992
191109.5103.4442224805346.05577751946596
192105.9102.8080169044513.09198309554944
193115.397.06415079322418.235849206776
194126.2106.89465483961219.3053451603885
195112.2120.742873608921-8.5428736089206
196112.5115.485384039774-2.98538403977439
197106.9111.496374192024-4.59637419202365
19890.6126.682623506025-36.0826235060252
19975.6104.94411999894-29.3441199989403
20078.879.9213312103773-1.12133121037729
201101.8101.7258133727240.0741866272761769
20293.9103.128642438038-9.22864243803782
20310093.13032469127476.86967530872532
20489.292.5630077494751-3.36300774947513
20597.787.74574673469889.95425326530116
206121.194.391200974269826.7087990257302
207108.8105.4191224546613.38087754533872
20892.9105.033198294879-12.1331982948792
209113.698.243598002229815.3564019977702
210112.6113.107895006411-0.50789500641099
21198.8102.950249593299-4.15024959329914
2127889.4332892367503-11.4332892367503







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213109.989575886713101.651940288942118.327211484485
214109.69085541718799.7686349168988119.613075917476
215104.86709726374293.7984407623423115.935753765142
21699.957252672051987.9558116718486111.958693672255
21798.283168289556685.2606094084784111.305727170635
218104.65179131568389.9614487082093119.342133923156
219103.23951298096687.7474867443854118.731539217547
22099.182858356366183.2610250787076115.104691634025
221100.84853782961683.8322095820271117.864866077205
222107.78447018111488.9761484278419126.592791934385
22397.631571704916879.5683542534136115.69478915642
22484.5326734954734-18.5169086121907187.582255603137

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 109.989575886713 & 101.651940288942 & 118.327211484485 \tabularnewline
214 & 109.690855417187 & 99.7686349168988 & 119.613075917476 \tabularnewline
215 & 104.867097263742 & 93.7984407623423 & 115.935753765142 \tabularnewline
216 & 99.9572526720519 & 87.9558116718486 & 111.958693672255 \tabularnewline
217 & 98.2831682895566 & 85.2606094084784 & 111.305727170635 \tabularnewline
218 & 104.651791315683 & 89.9614487082093 & 119.342133923156 \tabularnewline
219 & 103.239512980966 & 87.7474867443854 & 118.731539217547 \tabularnewline
220 & 99.1828583563661 & 83.2610250787076 & 115.104691634025 \tabularnewline
221 & 100.848537829616 & 83.8322095820271 & 117.864866077205 \tabularnewline
222 & 107.784470181114 & 88.9761484278419 & 126.592791934385 \tabularnewline
223 & 97.6315717049168 & 79.5683542534136 & 115.69478915642 \tabularnewline
224 & 84.5326734954734 & -18.5169086121907 & 187.582255603137 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310045&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]213[/C][C]109.989575886713[/C][C]101.651940288942[/C][C]118.327211484485[/C][/ROW]
[ROW][C]214[/C][C]109.690855417187[/C][C]99.7686349168988[/C][C]119.613075917476[/C][/ROW]
[ROW][C]215[/C][C]104.867097263742[/C][C]93.7984407623423[/C][C]115.935753765142[/C][/ROW]
[ROW][C]216[/C][C]99.9572526720519[/C][C]87.9558116718486[/C][C]111.958693672255[/C][/ROW]
[ROW][C]217[/C][C]98.2831682895566[/C][C]85.2606094084784[/C][C]111.305727170635[/C][/ROW]
[ROW][C]218[/C][C]104.651791315683[/C][C]89.9614487082093[/C][C]119.342133923156[/C][/ROW]
[ROW][C]219[/C][C]103.239512980966[/C][C]87.7474867443854[/C][C]118.731539217547[/C][/ROW]
[ROW][C]220[/C][C]99.1828583563661[/C][C]83.2610250787076[/C][C]115.104691634025[/C][/ROW]
[ROW][C]221[/C][C]100.848537829616[/C][C]83.8322095820271[/C][C]117.864866077205[/C][/ROW]
[ROW][C]222[/C][C]107.784470181114[/C][C]88.9761484278419[/C][C]126.592791934385[/C][/ROW]
[ROW][C]223[/C][C]97.6315717049168[/C][C]79.5683542534136[/C][C]115.69478915642[/C][/ROW]
[ROW][C]224[/C][C]84.5326734954734[/C][C]-18.5169086121907[/C][C]187.582255603137[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310045&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310045&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
213109.989575886713101.651940288942118.327211484485
214109.69085541718799.7686349168988119.613075917476
215104.86709726374293.7984407623423115.935753765142
21699.957252672051987.9558116718486111.958693672255
21798.283168289556685.2606094084784111.305727170635
218104.65179131568389.9614487082093119.342133923156
219103.23951298096687.7474867443854118.731539217547
22099.182858356366183.2610250787076115.104691634025
221100.84853782961683.8322095820271117.864866077205
222107.78447018111488.9761484278419126.592791934385
22397.631571704916879.5683542534136115.69478915642
22484.5326734954734-18.5169086121907187.582255603137



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')