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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 computationWed, 20 Dec 2017 12:29:10 +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/20/t15137701620aqzsspfhyhnrd6.htm/, Retrieved Mon, 13 May 2024 21:39:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310482, Retrieved Mon, 13 May 2024 21:39:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-20 11:29:10] [6a14c6712734b6e9645e9b92d85f99d9] [Current]
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Dataseries X:
99.5
89.9
96
86.9
85.6
82.5
80.5
82.7
87.7
92.2
93.9
94.5
94.8
85
87.4
79.5
80.5
79.8
78.8
81.5
82.6
89.5
90.7
90.7
95.7
86.6
92.4
86.3
84.7
83.1
82.2
84.5
81.2
88.2
89.1
89.1
98
91.7
90.9
87.1
84.5
83.5
85.9
89
87.6
92.9
89.1
96.9
104.1
93
98
85.9
84.8
81.5
85.3
79.3
82.3
87.8
95
104.4
103.5
99.5
96.6
88.1
86.4
83.6
85.7
79.8
81.9
87.1
92
106.1
108.5
101.4
100.1
84.4
81.6
81.5
80.9
79.9
81.2
90.5
91.7
102.7
104.8
98.7
100.8
93.6
88.1
86.8
80.8
84.6
82
93.6
99.7
102.1
106.6
95.9
92.1
85.9
79.3
83.7
84.1
83.2
85
93.1
95.4
107.3
112.5
97.8
99.1
85.6
87.2
86
92.7
98.8
99.2
101.4
98.8
113.2
119.2
107.4
111.6
94.8
97.7
87.3
91.4
93.4
90.8
96.1
102.6
107.7
111.4
98.9
100.7
91
94.8
87.3
88.8
92.3
90.9
95.2
98.2
103.5
109.7
116.4
87.5
87.2
85.5
79
81.8
78.2
78.9
76.9
84.4
93.1
101.6
97.1
99.3
77.8
74.3
80.4
85.3
80.1
78.8
91.8
100
108.4
101.7
94.4
89.5
69.8
72.5
69.1
71.9
67
63.8
73.2
74.2
84.7
97.8
87.4
81.8
68.6
64.9
64.1
63.6
59.8
66.3
78.1
86.8
89
111.3
99.7
103.7
90.4
77.6
73.9
81.5
88.2
78
84.7
94.8
101.5
112.4
96.6
96.9
76.1
76.9
83.8
89.4
89.1




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=310482&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=310482&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310482&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
alpha0.498787484461514
beta0.00719215583943239
gamma0.532240609216307

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.498787484461514 \tabularnewline
beta & 0.00719215583943239 \tabularnewline
gamma & 0.532240609216307 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310482&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]0.498787484461514[/C][/ROW]
[ROW][C]beta[/C][C]0.00719215583943239[/C][/ROW]
[ROW][C]gamma[/C][C]0.532240609216307[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310482&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310482&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
alpha0.498787484461514
beta0.00719215583943239
gamma0.532240609216307







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1394.897.4304754273504-2.63047542735045
148586.0877931982802-1.08779319828018
1587.487.8523459213466-0.452345921346591
1679.579.694729066731-0.194729066730986
1780.580.48574304557450.0142569544254627
1879.879.72688111432150.073118885678511
1978.876.2018077479252.59819225207497
2081.579.74969668469261.75030331530745
2182.685.8434481949957-3.24344819499572
2289.589.03891021049440.461089789505579
2390.791.1379701688724-0.437970168872425
2490.791.4911857834068-0.791185783406831
2595.790.52199643798645.17800356201356
2686.683.4994945134543.10050548654598
2792.487.55153271170374.84846728829631
2886.382.1545333846524.14546661534798
2984.785.2296176875799-0.529617687579929
3083.184.2767139057336-1.17671390573358
3182.280.85889251037441.34110748962557
3284.583.60611611676280.893883883237152
3381.287.9900031230383-6.79000312303835
3488.290.4414768489644-2.2414768489644
3589.190.9797424226042-1.8797424226042
3689.190.5414724834448-1.44147248344481
379890.85984835978877.14015164021126
3891.784.2884205173147.41157948268602
3990.990.9991143186283-0.0991143186283239
4087.182.97108770479944.12891229520059
4184.584.8150045411261-0.315004541126129
4283.583.8215355041001-0.321535504100069
4385.981.53001393530164.36998606469837
448985.70764530859863.29235469140139
4587.689.2856115002353-1.68561150023535
4692.995.5623428607341-2.66234286073411
4789.196.051534647628-6.95153464762804
4896.993.24658985061213.65341014938795
49104.198.45994542109595.64005457890414
509391.27174760592861.72825239407138
519893.18273775266344.81726224733659
5285.988.7911312415292-2.89113124152919
5384.885.9791711482078-1.17917114820777
5481.584.580941622818-3.08094162281802
5585.382.18271790052223.11728209947782
5679.385.4616655393753-6.16166553937535
5782.382.9758437674893-0.675843767489269
5887.889.479008067401-1.67900806740103
599589.30132527357875.69867472642126
60104.495.66742183643738.73257816356274
61103.5103.994632343477-0.494632343477448
6299.592.7314486836146.76855131638598
6396.698.0270536234447-1.42705362344468
6488.188.4886603166718-0.388660316671803
6586.487.4147052580935-1.01470525809354
6683.685.6248839148598-2.02488391485983
6785.785.44437192538870.255628074611337
6879.884.847882191718-5.04788219171796
6981.984.412250369953-2.51225036995298
7087.189.7564603321713-2.65646033217129
719291.08047456469030.919525435309737
72106.195.876113597651410.2238864023486
73108.5102.4949980804266.00500191957396
74101.496.44396604067514.95603395932487
75100.198.67534939576911.42465060423085
7684.490.8727335245021-6.4727335245021
7781.686.611661249265-5.01166124926502
7881.582.558938444283-1.058938444283
7980.983.4722665647387-2.57226656473868
8079.980.0439956458846-0.143995645884544
8181.282.7419041907589-1.5419041907589
8290.588.54624504580611.95375495419385
8391.793.1548702655756-1.45487026557562
84102.799.27089969572073.42910030427934
85104.8101.3734264185243.42657358147645
8698.793.74547821192974.95452178807032
87100.895.02305034017275.7769496598273
8893.687.28916398914936.31083601085072
8988.189.8446074081139-1.74460740811389
9086.888.5380882475371-1.73808824753711
9180.888.7687120171204-7.96871201712044
9284.683.33693298697351.26306701302653
938286.4091924841042-4.40919248410418
9493.691.75104133277091.84895866722914
9599.795.4328691049234.26713089507702
96102.1105.761141335851-3.6611413358512
97106.6104.3563396232232.243660376777
9895.996.5715990854676-0.671599085467548
9992.195.2677710066073-3.16777100660727
10085.983.18814752903522.7118524709648
10179.381.7599915766396-2.45999157663961
10283.780.05626470773483.64373529226522
10384.181.28634267142732.81365732857272
10483.283.7112607090399-0.51126070903986
1058584.39484318865020.605156811349843
10693.193.9347342213198-0.834734221319849
10795.496.9409152246726-1.54091522467259
108107.3102.2542408322815.04575916771944
109112.5106.7957899988375.70421000116272
11097.8100.000111017581-2.20011101758121
11199.197.30317787540811.79682212459187
11285.689.3213131873782-3.72131318737824
11387.283.33462655664843.86537344335156
1148686.4667908331041-0.466790833104099
11592.785.46302113851317.23697886148692
11698.889.26099831348659.53900168651353
11799.295.34513727841413.85486272158587
118101.4106.223274865873-4.82327486587296
11998.8107.138775948836-8.33877594883579
120113.2110.8812649287492.31873507125124
121119.2114.2912305805224.90876941947843
122107.4105.040310798772.35968920122967
123111.6105.7504674333565.84953256664426
12494.898.3990075435094-3.59900754350943
12597.794.57864414699263.12135585300742
12687.396.2628113494511-8.9628113494511
12791.493.1247380851957-1.72473808519568
12893.493.08297871888040.317021281119565
12990.893.0340487699738-2.23404876997381
13096.198.5213139021082-2.42131390210824
131102.699.66691424153652.93308575846348
132107.7111.885007004366-4.18500700436572
133111.4112.728870801177-1.3288708011771
13498.999.6512615335344-0.751261533534375
135100.799.69409957667921.00590042332084
1369187.34218911747753.65781088252251
13794.888.8962693810355.90373061896501
13887.388.7166622034736-1.41666220347362
13988.891.2725064588906-2.47250645889061
14092.391.39888176535110.901118234648848
14190.990.9592904638298-0.0592904638298108
14295.297.4876798197701-2.28767981977008
14398.2100.135122395236-1.93512239523642
144103.5108.015504479332-4.51550447933164
145109.7109.4446069989530.255393001046812
146116.497.305146005737119.0948539942629
14787.5107.780774660202-20.280774660202
14887.285.50745891470581.69254108529417
14985.586.6620545250649-1.16205452506486
1507980.9615783469244-1.96157834692441
15181.882.9182930375106-1.11829303751057
15278.284.5792890686516-6.37928906865163
15378.980.1851890638895-1.28518906388949
15476.985.436331455884-8.536331455884
15584.484.9673325267238-0.567332526723789
15693.192.75275802785750.34724197214247
157101.697.8086578811983.79134211880198
15897.192.39989858519574.70010141480425
15999.385.081193723216814.2188062767832
16077.885.8909797174631-8.09097971746309
16174.381.3824891360691-7.08248913606914
16280.472.47276966652887.9272303334712
16385.379.57941350178335.72058649821666
16480.183.2651930885144-3.16519308851436
16578.881.8617940513104-3.0617940513104
16691.884.31467824327367.48532175672636
16710094.04265590728885.95734409271117
168108.4105.4296131320292.97038686797084
169101.7112.825210238357-11.1252102383568
17094.4100.277713859332-5.87771385933195
17189.590.2432710317932-0.743271031793228
17269.877.6060815128273-7.80608151282732
17372.573.477153327004-0.977153327004046
17469.171.6071066951019-2.50710669510192
17571.972.8734754370558-0.973475437055839
1766770.7788043223716-3.77880432237163
17763.869.0236101708363-5.22361017083631
17873.273.1307437622420.0692562377580401
17974.278.6443926934667-4.44439269346667
18084.783.90128534043610.798714659563913
18197.886.30067692258711.499323077413
18287.486.36624727809841.03375272190161
18381.881.10202525095690.697974749043055
18468.667.25794086011821.34205913988184
18564.969.5048769171317-4.60487691713168
18664.165.3953768901895-1.29537689018954
18763.667.6577570882365-4.05775708823648
18859.863.2477507188864-3.4477507188864
18966.361.24487621906735.0551237809327
19078.171.90036096105836.19963903894167
19186.879.29916579727617.50083420272388
1928991.9872050821646-2.98720508216455
193111.395.413536640246515.8864633597535
19499.794.95199572503184.74800427496821
195103.791.540638994153812.1593610058462
19690.483.71610344300036.68389655699966
19777.687.1911391631028-9.59113916310281
19873.981.6096236760243-7.70962367602431
19981.580.04494829931781.45505170068219
20088.278.67636572760889.52363427239116
2017885.5872386135866-7.58723861358662
20284.790.3723439238659-5.67234392386585
20394.892.28423271985252.51576728014753
204101.599.75761743047051.74238256952954
205112.4110.6645044350891.7354955649112
20696.6100.209164785995-3.60916478599549
20796.994.61235722468052.28764277531955
20876.180.373758004123-4.27375800412297
20976.973.97281488214912.92718511785091
21083.875.11329695550778.68670304449229
21189.484.20663461910635.19336538089368
21289.186.90341735734292.19658264265711

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 94.8 & 97.4304754273504 & -2.63047542735045 \tabularnewline
14 & 85 & 86.0877931982802 & -1.08779319828018 \tabularnewline
15 & 87.4 & 87.8523459213466 & -0.452345921346591 \tabularnewline
16 & 79.5 & 79.694729066731 & -0.194729066730986 \tabularnewline
17 & 80.5 & 80.4857430455745 & 0.0142569544254627 \tabularnewline
18 & 79.8 & 79.7268811143215 & 0.073118885678511 \tabularnewline
19 & 78.8 & 76.201807747925 & 2.59819225207497 \tabularnewline
20 & 81.5 & 79.7496966846926 & 1.75030331530745 \tabularnewline
21 & 82.6 & 85.8434481949957 & -3.24344819499572 \tabularnewline
22 & 89.5 & 89.0389102104944 & 0.461089789505579 \tabularnewline
23 & 90.7 & 91.1379701688724 & -0.437970168872425 \tabularnewline
24 & 90.7 & 91.4911857834068 & -0.791185783406831 \tabularnewline
25 & 95.7 & 90.5219964379864 & 5.17800356201356 \tabularnewline
26 & 86.6 & 83.499494513454 & 3.10050548654598 \tabularnewline
27 & 92.4 & 87.5515327117037 & 4.84846728829631 \tabularnewline
28 & 86.3 & 82.154533384652 & 4.14546661534798 \tabularnewline
29 & 84.7 & 85.2296176875799 & -0.529617687579929 \tabularnewline
30 & 83.1 & 84.2767139057336 & -1.17671390573358 \tabularnewline
31 & 82.2 & 80.8588925103744 & 1.34110748962557 \tabularnewline
32 & 84.5 & 83.6061161167628 & 0.893883883237152 \tabularnewline
33 & 81.2 & 87.9900031230383 & -6.79000312303835 \tabularnewline
34 & 88.2 & 90.4414768489644 & -2.2414768489644 \tabularnewline
35 & 89.1 & 90.9797424226042 & -1.8797424226042 \tabularnewline
36 & 89.1 & 90.5414724834448 & -1.44147248344481 \tabularnewline
37 & 98 & 90.8598483597887 & 7.14015164021126 \tabularnewline
38 & 91.7 & 84.288420517314 & 7.41157948268602 \tabularnewline
39 & 90.9 & 90.9991143186283 & -0.0991143186283239 \tabularnewline
40 & 87.1 & 82.9710877047994 & 4.12891229520059 \tabularnewline
41 & 84.5 & 84.8150045411261 & -0.315004541126129 \tabularnewline
42 & 83.5 & 83.8215355041001 & -0.321535504100069 \tabularnewline
43 & 85.9 & 81.5300139353016 & 4.36998606469837 \tabularnewline
44 & 89 & 85.7076453085986 & 3.29235469140139 \tabularnewline
45 & 87.6 & 89.2856115002353 & -1.68561150023535 \tabularnewline
46 & 92.9 & 95.5623428607341 & -2.66234286073411 \tabularnewline
47 & 89.1 & 96.051534647628 & -6.95153464762804 \tabularnewline
48 & 96.9 & 93.2465898506121 & 3.65341014938795 \tabularnewline
49 & 104.1 & 98.4599454210959 & 5.64005457890414 \tabularnewline
50 & 93 & 91.2717476059286 & 1.72825239407138 \tabularnewline
51 & 98 & 93.1827377526634 & 4.81726224733659 \tabularnewline
52 & 85.9 & 88.7911312415292 & -2.89113124152919 \tabularnewline
53 & 84.8 & 85.9791711482078 & -1.17917114820777 \tabularnewline
54 & 81.5 & 84.580941622818 & -3.08094162281802 \tabularnewline
55 & 85.3 & 82.1827179005222 & 3.11728209947782 \tabularnewline
56 & 79.3 & 85.4616655393753 & -6.16166553937535 \tabularnewline
57 & 82.3 & 82.9758437674893 & -0.675843767489269 \tabularnewline
58 & 87.8 & 89.479008067401 & -1.67900806740103 \tabularnewline
59 & 95 & 89.3013252735787 & 5.69867472642126 \tabularnewline
60 & 104.4 & 95.6674218364373 & 8.73257816356274 \tabularnewline
61 & 103.5 & 103.994632343477 & -0.494632343477448 \tabularnewline
62 & 99.5 & 92.731448683614 & 6.76855131638598 \tabularnewline
63 & 96.6 & 98.0270536234447 & -1.42705362344468 \tabularnewline
64 & 88.1 & 88.4886603166718 & -0.388660316671803 \tabularnewline
65 & 86.4 & 87.4147052580935 & -1.01470525809354 \tabularnewline
66 & 83.6 & 85.6248839148598 & -2.02488391485983 \tabularnewline
67 & 85.7 & 85.4443719253887 & 0.255628074611337 \tabularnewline
68 & 79.8 & 84.847882191718 & -5.04788219171796 \tabularnewline
69 & 81.9 & 84.412250369953 & -2.51225036995298 \tabularnewline
70 & 87.1 & 89.7564603321713 & -2.65646033217129 \tabularnewline
71 & 92 & 91.0804745646903 & 0.919525435309737 \tabularnewline
72 & 106.1 & 95.8761135976514 & 10.2238864023486 \tabularnewline
73 & 108.5 & 102.494998080426 & 6.00500191957396 \tabularnewline
74 & 101.4 & 96.4439660406751 & 4.95603395932487 \tabularnewline
75 & 100.1 & 98.6753493957691 & 1.42465060423085 \tabularnewline
76 & 84.4 & 90.8727335245021 & -6.4727335245021 \tabularnewline
77 & 81.6 & 86.611661249265 & -5.01166124926502 \tabularnewline
78 & 81.5 & 82.558938444283 & -1.058938444283 \tabularnewline
79 & 80.9 & 83.4722665647387 & -2.57226656473868 \tabularnewline
80 & 79.9 & 80.0439956458846 & -0.143995645884544 \tabularnewline
81 & 81.2 & 82.7419041907589 & -1.5419041907589 \tabularnewline
82 & 90.5 & 88.5462450458061 & 1.95375495419385 \tabularnewline
83 & 91.7 & 93.1548702655756 & -1.45487026557562 \tabularnewline
84 & 102.7 & 99.2708996957207 & 3.42910030427934 \tabularnewline
85 & 104.8 & 101.373426418524 & 3.42657358147645 \tabularnewline
86 & 98.7 & 93.7454782119297 & 4.95452178807032 \tabularnewline
87 & 100.8 & 95.0230503401727 & 5.7769496598273 \tabularnewline
88 & 93.6 & 87.2891639891493 & 6.31083601085072 \tabularnewline
89 & 88.1 & 89.8446074081139 & -1.74460740811389 \tabularnewline
90 & 86.8 & 88.5380882475371 & -1.73808824753711 \tabularnewline
91 & 80.8 & 88.7687120171204 & -7.96871201712044 \tabularnewline
92 & 84.6 & 83.3369329869735 & 1.26306701302653 \tabularnewline
93 & 82 & 86.4091924841042 & -4.40919248410418 \tabularnewline
94 & 93.6 & 91.7510413327709 & 1.84895866722914 \tabularnewline
95 & 99.7 & 95.432869104923 & 4.26713089507702 \tabularnewline
96 & 102.1 & 105.761141335851 & -3.6611413358512 \tabularnewline
97 & 106.6 & 104.356339623223 & 2.243660376777 \tabularnewline
98 & 95.9 & 96.5715990854676 & -0.671599085467548 \tabularnewline
99 & 92.1 & 95.2677710066073 & -3.16777100660727 \tabularnewline
100 & 85.9 & 83.1881475290352 & 2.7118524709648 \tabularnewline
101 & 79.3 & 81.7599915766396 & -2.45999157663961 \tabularnewline
102 & 83.7 & 80.0562647077348 & 3.64373529226522 \tabularnewline
103 & 84.1 & 81.2863426714273 & 2.81365732857272 \tabularnewline
104 & 83.2 & 83.7112607090399 & -0.51126070903986 \tabularnewline
105 & 85 & 84.3948431886502 & 0.605156811349843 \tabularnewline
106 & 93.1 & 93.9347342213198 & -0.834734221319849 \tabularnewline
107 & 95.4 & 96.9409152246726 & -1.54091522467259 \tabularnewline
108 & 107.3 & 102.254240832281 & 5.04575916771944 \tabularnewline
109 & 112.5 & 106.795789998837 & 5.70421000116272 \tabularnewline
110 & 97.8 & 100.000111017581 & -2.20011101758121 \tabularnewline
111 & 99.1 & 97.3031778754081 & 1.79682212459187 \tabularnewline
112 & 85.6 & 89.3213131873782 & -3.72131318737824 \tabularnewline
113 & 87.2 & 83.3346265566484 & 3.86537344335156 \tabularnewline
114 & 86 & 86.4667908331041 & -0.466790833104099 \tabularnewline
115 & 92.7 & 85.4630211385131 & 7.23697886148692 \tabularnewline
116 & 98.8 & 89.2609983134865 & 9.53900168651353 \tabularnewline
117 & 99.2 & 95.3451372784141 & 3.85486272158587 \tabularnewline
118 & 101.4 & 106.223274865873 & -4.82327486587296 \tabularnewline
119 & 98.8 & 107.138775948836 & -8.33877594883579 \tabularnewline
120 & 113.2 & 110.881264928749 & 2.31873507125124 \tabularnewline
121 & 119.2 & 114.291230580522 & 4.90876941947843 \tabularnewline
122 & 107.4 & 105.04031079877 & 2.35968920122967 \tabularnewline
123 & 111.6 & 105.750467433356 & 5.84953256664426 \tabularnewline
124 & 94.8 & 98.3990075435094 & -3.59900754350943 \tabularnewline
125 & 97.7 & 94.5786441469926 & 3.12135585300742 \tabularnewline
126 & 87.3 & 96.2628113494511 & -8.9628113494511 \tabularnewline
127 & 91.4 & 93.1247380851957 & -1.72473808519568 \tabularnewline
128 & 93.4 & 93.0829787188804 & 0.317021281119565 \tabularnewline
129 & 90.8 & 93.0340487699738 & -2.23404876997381 \tabularnewline
130 & 96.1 & 98.5213139021082 & -2.42131390210824 \tabularnewline
131 & 102.6 & 99.6669142415365 & 2.93308575846348 \tabularnewline
132 & 107.7 & 111.885007004366 & -4.18500700436572 \tabularnewline
133 & 111.4 & 112.728870801177 & -1.3288708011771 \tabularnewline
134 & 98.9 & 99.6512615335344 & -0.751261533534375 \tabularnewline
135 & 100.7 & 99.6940995766792 & 1.00590042332084 \tabularnewline
136 & 91 & 87.3421891174775 & 3.65781088252251 \tabularnewline
137 & 94.8 & 88.896269381035 & 5.90373061896501 \tabularnewline
138 & 87.3 & 88.7166622034736 & -1.41666220347362 \tabularnewline
139 & 88.8 & 91.2725064588906 & -2.47250645889061 \tabularnewline
140 & 92.3 & 91.3988817653511 & 0.901118234648848 \tabularnewline
141 & 90.9 & 90.9592904638298 & -0.0592904638298108 \tabularnewline
142 & 95.2 & 97.4876798197701 & -2.28767981977008 \tabularnewline
143 & 98.2 & 100.135122395236 & -1.93512239523642 \tabularnewline
144 & 103.5 & 108.015504479332 & -4.51550447933164 \tabularnewline
145 & 109.7 & 109.444606998953 & 0.255393001046812 \tabularnewline
146 & 116.4 & 97.3051460057371 & 19.0948539942629 \tabularnewline
147 & 87.5 & 107.780774660202 & -20.280774660202 \tabularnewline
148 & 87.2 & 85.5074589147058 & 1.69254108529417 \tabularnewline
149 & 85.5 & 86.6620545250649 & -1.16205452506486 \tabularnewline
150 & 79 & 80.9615783469244 & -1.96157834692441 \tabularnewline
151 & 81.8 & 82.9182930375106 & -1.11829303751057 \tabularnewline
152 & 78.2 & 84.5792890686516 & -6.37928906865163 \tabularnewline
153 & 78.9 & 80.1851890638895 & -1.28518906388949 \tabularnewline
154 & 76.9 & 85.436331455884 & -8.536331455884 \tabularnewline
155 & 84.4 & 84.9673325267238 & -0.567332526723789 \tabularnewline
156 & 93.1 & 92.7527580278575 & 0.34724197214247 \tabularnewline
157 & 101.6 & 97.808657881198 & 3.79134211880198 \tabularnewline
158 & 97.1 & 92.3998985851957 & 4.70010141480425 \tabularnewline
159 & 99.3 & 85.0811937232168 & 14.2188062767832 \tabularnewline
160 & 77.8 & 85.8909797174631 & -8.09097971746309 \tabularnewline
161 & 74.3 & 81.3824891360691 & -7.08248913606914 \tabularnewline
162 & 80.4 & 72.4727696665288 & 7.9272303334712 \tabularnewline
163 & 85.3 & 79.5794135017833 & 5.72058649821666 \tabularnewline
164 & 80.1 & 83.2651930885144 & -3.16519308851436 \tabularnewline
165 & 78.8 & 81.8617940513104 & -3.0617940513104 \tabularnewline
166 & 91.8 & 84.3146782432736 & 7.48532175672636 \tabularnewline
167 & 100 & 94.0426559072888 & 5.95734409271117 \tabularnewline
168 & 108.4 & 105.429613132029 & 2.97038686797084 \tabularnewline
169 & 101.7 & 112.825210238357 & -11.1252102383568 \tabularnewline
170 & 94.4 & 100.277713859332 & -5.87771385933195 \tabularnewline
171 & 89.5 & 90.2432710317932 & -0.743271031793228 \tabularnewline
172 & 69.8 & 77.6060815128273 & -7.80608151282732 \tabularnewline
173 & 72.5 & 73.477153327004 & -0.977153327004046 \tabularnewline
174 & 69.1 & 71.6071066951019 & -2.50710669510192 \tabularnewline
175 & 71.9 & 72.8734754370558 & -0.973475437055839 \tabularnewline
176 & 67 & 70.7788043223716 & -3.77880432237163 \tabularnewline
177 & 63.8 & 69.0236101708363 & -5.22361017083631 \tabularnewline
178 & 73.2 & 73.130743762242 & 0.0692562377580401 \tabularnewline
179 & 74.2 & 78.6443926934667 & -4.44439269346667 \tabularnewline
180 & 84.7 & 83.9012853404361 & 0.798714659563913 \tabularnewline
181 & 97.8 & 86.300676922587 & 11.499323077413 \tabularnewline
182 & 87.4 & 86.3662472780984 & 1.03375272190161 \tabularnewline
183 & 81.8 & 81.1020252509569 & 0.697974749043055 \tabularnewline
184 & 68.6 & 67.2579408601182 & 1.34205913988184 \tabularnewline
185 & 64.9 & 69.5048769171317 & -4.60487691713168 \tabularnewline
186 & 64.1 & 65.3953768901895 & -1.29537689018954 \tabularnewline
187 & 63.6 & 67.6577570882365 & -4.05775708823648 \tabularnewline
188 & 59.8 & 63.2477507188864 & -3.4477507188864 \tabularnewline
189 & 66.3 & 61.2448762190673 & 5.0551237809327 \tabularnewline
190 & 78.1 & 71.9003609610583 & 6.19963903894167 \tabularnewline
191 & 86.8 & 79.2991657972761 & 7.50083420272388 \tabularnewline
192 & 89 & 91.9872050821646 & -2.98720508216455 \tabularnewline
193 & 111.3 & 95.4135366402465 & 15.8864633597535 \tabularnewline
194 & 99.7 & 94.9519957250318 & 4.74800427496821 \tabularnewline
195 & 103.7 & 91.5406389941538 & 12.1593610058462 \tabularnewline
196 & 90.4 & 83.7161034430003 & 6.68389655699966 \tabularnewline
197 & 77.6 & 87.1911391631028 & -9.59113916310281 \tabularnewline
198 & 73.9 & 81.6096236760243 & -7.70962367602431 \tabularnewline
199 & 81.5 & 80.0449482993178 & 1.45505170068219 \tabularnewline
200 & 88.2 & 78.6763657276088 & 9.52363427239116 \tabularnewline
201 & 78 & 85.5872386135866 & -7.58723861358662 \tabularnewline
202 & 84.7 & 90.3723439238659 & -5.67234392386585 \tabularnewline
203 & 94.8 & 92.2842327198525 & 2.51576728014753 \tabularnewline
204 & 101.5 & 99.7576174304705 & 1.74238256952954 \tabularnewline
205 & 112.4 & 110.664504435089 & 1.7354955649112 \tabularnewline
206 & 96.6 & 100.209164785995 & -3.60916478599549 \tabularnewline
207 & 96.9 & 94.6123572246805 & 2.28764277531955 \tabularnewline
208 & 76.1 & 80.373758004123 & -4.27375800412297 \tabularnewline
209 & 76.9 & 73.9728148821491 & 2.92718511785091 \tabularnewline
210 & 83.8 & 75.1132969555077 & 8.68670304449229 \tabularnewline
211 & 89.4 & 84.2066346191063 & 5.19336538089368 \tabularnewline
212 & 89.1 & 86.9034173573429 & 2.19658264265711 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310482&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]94.8[/C][C]97.4304754273504[/C][C]-2.63047542735045[/C][/ROW]
[ROW][C]14[/C][C]85[/C][C]86.0877931982802[/C][C]-1.08779319828018[/C][/ROW]
[ROW][C]15[/C][C]87.4[/C][C]87.8523459213466[/C][C]-0.452345921346591[/C][/ROW]
[ROW][C]16[/C][C]79.5[/C][C]79.694729066731[/C][C]-0.194729066730986[/C][/ROW]
[ROW][C]17[/C][C]80.5[/C][C]80.4857430455745[/C][C]0.0142569544254627[/C][/ROW]
[ROW][C]18[/C][C]79.8[/C][C]79.7268811143215[/C][C]0.073118885678511[/C][/ROW]
[ROW][C]19[/C][C]78.8[/C][C]76.201807747925[/C][C]2.59819225207497[/C][/ROW]
[ROW][C]20[/C][C]81.5[/C][C]79.7496966846926[/C][C]1.75030331530745[/C][/ROW]
[ROW][C]21[/C][C]82.6[/C][C]85.8434481949957[/C][C]-3.24344819499572[/C][/ROW]
[ROW][C]22[/C][C]89.5[/C][C]89.0389102104944[/C][C]0.461089789505579[/C][/ROW]
[ROW][C]23[/C][C]90.7[/C][C]91.1379701688724[/C][C]-0.437970168872425[/C][/ROW]
[ROW][C]24[/C][C]90.7[/C][C]91.4911857834068[/C][C]-0.791185783406831[/C][/ROW]
[ROW][C]25[/C][C]95.7[/C][C]90.5219964379864[/C][C]5.17800356201356[/C][/ROW]
[ROW][C]26[/C][C]86.6[/C][C]83.499494513454[/C][C]3.10050548654598[/C][/ROW]
[ROW][C]27[/C][C]92.4[/C][C]87.5515327117037[/C][C]4.84846728829631[/C][/ROW]
[ROW][C]28[/C][C]86.3[/C][C]82.154533384652[/C][C]4.14546661534798[/C][/ROW]
[ROW][C]29[/C][C]84.7[/C][C]85.2296176875799[/C][C]-0.529617687579929[/C][/ROW]
[ROW][C]30[/C][C]83.1[/C][C]84.2767139057336[/C][C]-1.17671390573358[/C][/ROW]
[ROW][C]31[/C][C]82.2[/C][C]80.8588925103744[/C][C]1.34110748962557[/C][/ROW]
[ROW][C]32[/C][C]84.5[/C][C]83.6061161167628[/C][C]0.893883883237152[/C][/ROW]
[ROW][C]33[/C][C]81.2[/C][C]87.9900031230383[/C][C]-6.79000312303835[/C][/ROW]
[ROW][C]34[/C][C]88.2[/C][C]90.4414768489644[/C][C]-2.2414768489644[/C][/ROW]
[ROW][C]35[/C][C]89.1[/C][C]90.9797424226042[/C][C]-1.8797424226042[/C][/ROW]
[ROW][C]36[/C][C]89.1[/C][C]90.5414724834448[/C][C]-1.44147248344481[/C][/ROW]
[ROW][C]37[/C][C]98[/C][C]90.8598483597887[/C][C]7.14015164021126[/C][/ROW]
[ROW][C]38[/C][C]91.7[/C][C]84.288420517314[/C][C]7.41157948268602[/C][/ROW]
[ROW][C]39[/C][C]90.9[/C][C]90.9991143186283[/C][C]-0.0991143186283239[/C][/ROW]
[ROW][C]40[/C][C]87.1[/C][C]82.9710877047994[/C][C]4.12891229520059[/C][/ROW]
[ROW][C]41[/C][C]84.5[/C][C]84.8150045411261[/C][C]-0.315004541126129[/C][/ROW]
[ROW][C]42[/C][C]83.5[/C][C]83.8215355041001[/C][C]-0.321535504100069[/C][/ROW]
[ROW][C]43[/C][C]85.9[/C][C]81.5300139353016[/C][C]4.36998606469837[/C][/ROW]
[ROW][C]44[/C][C]89[/C][C]85.7076453085986[/C][C]3.29235469140139[/C][/ROW]
[ROW][C]45[/C][C]87.6[/C][C]89.2856115002353[/C][C]-1.68561150023535[/C][/ROW]
[ROW][C]46[/C][C]92.9[/C][C]95.5623428607341[/C][C]-2.66234286073411[/C][/ROW]
[ROW][C]47[/C][C]89.1[/C][C]96.051534647628[/C][C]-6.95153464762804[/C][/ROW]
[ROW][C]48[/C][C]96.9[/C][C]93.2465898506121[/C][C]3.65341014938795[/C][/ROW]
[ROW][C]49[/C][C]104.1[/C][C]98.4599454210959[/C][C]5.64005457890414[/C][/ROW]
[ROW][C]50[/C][C]93[/C][C]91.2717476059286[/C][C]1.72825239407138[/C][/ROW]
[ROW][C]51[/C][C]98[/C][C]93.1827377526634[/C][C]4.81726224733659[/C][/ROW]
[ROW][C]52[/C][C]85.9[/C][C]88.7911312415292[/C][C]-2.89113124152919[/C][/ROW]
[ROW][C]53[/C][C]84.8[/C][C]85.9791711482078[/C][C]-1.17917114820777[/C][/ROW]
[ROW][C]54[/C][C]81.5[/C][C]84.580941622818[/C][C]-3.08094162281802[/C][/ROW]
[ROW][C]55[/C][C]85.3[/C][C]82.1827179005222[/C][C]3.11728209947782[/C][/ROW]
[ROW][C]56[/C][C]79.3[/C][C]85.4616655393753[/C][C]-6.16166553937535[/C][/ROW]
[ROW][C]57[/C][C]82.3[/C][C]82.9758437674893[/C][C]-0.675843767489269[/C][/ROW]
[ROW][C]58[/C][C]87.8[/C][C]89.479008067401[/C][C]-1.67900806740103[/C][/ROW]
[ROW][C]59[/C][C]95[/C][C]89.3013252735787[/C][C]5.69867472642126[/C][/ROW]
[ROW][C]60[/C][C]104.4[/C][C]95.6674218364373[/C][C]8.73257816356274[/C][/ROW]
[ROW][C]61[/C][C]103.5[/C][C]103.994632343477[/C][C]-0.494632343477448[/C][/ROW]
[ROW][C]62[/C][C]99.5[/C][C]92.731448683614[/C][C]6.76855131638598[/C][/ROW]
[ROW][C]63[/C][C]96.6[/C][C]98.0270536234447[/C][C]-1.42705362344468[/C][/ROW]
[ROW][C]64[/C][C]88.1[/C][C]88.4886603166718[/C][C]-0.388660316671803[/C][/ROW]
[ROW][C]65[/C][C]86.4[/C][C]87.4147052580935[/C][C]-1.01470525809354[/C][/ROW]
[ROW][C]66[/C][C]83.6[/C][C]85.6248839148598[/C][C]-2.02488391485983[/C][/ROW]
[ROW][C]67[/C][C]85.7[/C][C]85.4443719253887[/C][C]0.255628074611337[/C][/ROW]
[ROW][C]68[/C][C]79.8[/C][C]84.847882191718[/C][C]-5.04788219171796[/C][/ROW]
[ROW][C]69[/C][C]81.9[/C][C]84.412250369953[/C][C]-2.51225036995298[/C][/ROW]
[ROW][C]70[/C][C]87.1[/C][C]89.7564603321713[/C][C]-2.65646033217129[/C][/ROW]
[ROW][C]71[/C][C]92[/C][C]91.0804745646903[/C][C]0.919525435309737[/C][/ROW]
[ROW][C]72[/C][C]106.1[/C][C]95.8761135976514[/C][C]10.2238864023486[/C][/ROW]
[ROW][C]73[/C][C]108.5[/C][C]102.494998080426[/C][C]6.00500191957396[/C][/ROW]
[ROW][C]74[/C][C]101.4[/C][C]96.4439660406751[/C][C]4.95603395932487[/C][/ROW]
[ROW][C]75[/C][C]100.1[/C][C]98.6753493957691[/C][C]1.42465060423085[/C][/ROW]
[ROW][C]76[/C][C]84.4[/C][C]90.8727335245021[/C][C]-6.4727335245021[/C][/ROW]
[ROW][C]77[/C][C]81.6[/C][C]86.611661249265[/C][C]-5.01166124926502[/C][/ROW]
[ROW][C]78[/C][C]81.5[/C][C]82.558938444283[/C][C]-1.058938444283[/C][/ROW]
[ROW][C]79[/C][C]80.9[/C][C]83.4722665647387[/C][C]-2.57226656473868[/C][/ROW]
[ROW][C]80[/C][C]79.9[/C][C]80.0439956458846[/C][C]-0.143995645884544[/C][/ROW]
[ROW][C]81[/C][C]81.2[/C][C]82.7419041907589[/C][C]-1.5419041907589[/C][/ROW]
[ROW][C]82[/C][C]90.5[/C][C]88.5462450458061[/C][C]1.95375495419385[/C][/ROW]
[ROW][C]83[/C][C]91.7[/C][C]93.1548702655756[/C][C]-1.45487026557562[/C][/ROW]
[ROW][C]84[/C][C]102.7[/C][C]99.2708996957207[/C][C]3.42910030427934[/C][/ROW]
[ROW][C]85[/C][C]104.8[/C][C]101.373426418524[/C][C]3.42657358147645[/C][/ROW]
[ROW][C]86[/C][C]98.7[/C][C]93.7454782119297[/C][C]4.95452178807032[/C][/ROW]
[ROW][C]87[/C][C]100.8[/C][C]95.0230503401727[/C][C]5.7769496598273[/C][/ROW]
[ROW][C]88[/C][C]93.6[/C][C]87.2891639891493[/C][C]6.31083601085072[/C][/ROW]
[ROW][C]89[/C][C]88.1[/C][C]89.8446074081139[/C][C]-1.74460740811389[/C][/ROW]
[ROW][C]90[/C][C]86.8[/C][C]88.5380882475371[/C][C]-1.73808824753711[/C][/ROW]
[ROW][C]91[/C][C]80.8[/C][C]88.7687120171204[/C][C]-7.96871201712044[/C][/ROW]
[ROW][C]92[/C][C]84.6[/C][C]83.3369329869735[/C][C]1.26306701302653[/C][/ROW]
[ROW][C]93[/C][C]82[/C][C]86.4091924841042[/C][C]-4.40919248410418[/C][/ROW]
[ROW][C]94[/C][C]93.6[/C][C]91.7510413327709[/C][C]1.84895866722914[/C][/ROW]
[ROW][C]95[/C][C]99.7[/C][C]95.432869104923[/C][C]4.26713089507702[/C][/ROW]
[ROW][C]96[/C][C]102.1[/C][C]105.761141335851[/C][C]-3.6611413358512[/C][/ROW]
[ROW][C]97[/C][C]106.6[/C][C]104.356339623223[/C][C]2.243660376777[/C][/ROW]
[ROW][C]98[/C][C]95.9[/C][C]96.5715990854676[/C][C]-0.671599085467548[/C][/ROW]
[ROW][C]99[/C][C]92.1[/C][C]95.2677710066073[/C][C]-3.16777100660727[/C][/ROW]
[ROW][C]100[/C][C]85.9[/C][C]83.1881475290352[/C][C]2.7118524709648[/C][/ROW]
[ROW][C]101[/C][C]79.3[/C][C]81.7599915766396[/C][C]-2.45999157663961[/C][/ROW]
[ROW][C]102[/C][C]83.7[/C][C]80.0562647077348[/C][C]3.64373529226522[/C][/ROW]
[ROW][C]103[/C][C]84.1[/C][C]81.2863426714273[/C][C]2.81365732857272[/C][/ROW]
[ROW][C]104[/C][C]83.2[/C][C]83.7112607090399[/C][C]-0.51126070903986[/C][/ROW]
[ROW][C]105[/C][C]85[/C][C]84.3948431886502[/C][C]0.605156811349843[/C][/ROW]
[ROW][C]106[/C][C]93.1[/C][C]93.9347342213198[/C][C]-0.834734221319849[/C][/ROW]
[ROW][C]107[/C][C]95.4[/C][C]96.9409152246726[/C][C]-1.54091522467259[/C][/ROW]
[ROW][C]108[/C][C]107.3[/C][C]102.254240832281[/C][C]5.04575916771944[/C][/ROW]
[ROW][C]109[/C][C]112.5[/C][C]106.795789998837[/C][C]5.70421000116272[/C][/ROW]
[ROW][C]110[/C][C]97.8[/C][C]100.000111017581[/C][C]-2.20011101758121[/C][/ROW]
[ROW][C]111[/C][C]99.1[/C][C]97.3031778754081[/C][C]1.79682212459187[/C][/ROW]
[ROW][C]112[/C][C]85.6[/C][C]89.3213131873782[/C][C]-3.72131318737824[/C][/ROW]
[ROW][C]113[/C][C]87.2[/C][C]83.3346265566484[/C][C]3.86537344335156[/C][/ROW]
[ROW][C]114[/C][C]86[/C][C]86.4667908331041[/C][C]-0.466790833104099[/C][/ROW]
[ROW][C]115[/C][C]92.7[/C][C]85.4630211385131[/C][C]7.23697886148692[/C][/ROW]
[ROW][C]116[/C][C]98.8[/C][C]89.2609983134865[/C][C]9.53900168651353[/C][/ROW]
[ROW][C]117[/C][C]99.2[/C][C]95.3451372784141[/C][C]3.85486272158587[/C][/ROW]
[ROW][C]118[/C][C]101.4[/C][C]106.223274865873[/C][C]-4.82327486587296[/C][/ROW]
[ROW][C]119[/C][C]98.8[/C][C]107.138775948836[/C][C]-8.33877594883579[/C][/ROW]
[ROW][C]120[/C][C]113.2[/C][C]110.881264928749[/C][C]2.31873507125124[/C][/ROW]
[ROW][C]121[/C][C]119.2[/C][C]114.291230580522[/C][C]4.90876941947843[/C][/ROW]
[ROW][C]122[/C][C]107.4[/C][C]105.04031079877[/C][C]2.35968920122967[/C][/ROW]
[ROW][C]123[/C][C]111.6[/C][C]105.750467433356[/C][C]5.84953256664426[/C][/ROW]
[ROW][C]124[/C][C]94.8[/C][C]98.3990075435094[/C][C]-3.59900754350943[/C][/ROW]
[ROW][C]125[/C][C]97.7[/C][C]94.5786441469926[/C][C]3.12135585300742[/C][/ROW]
[ROW][C]126[/C][C]87.3[/C][C]96.2628113494511[/C][C]-8.9628113494511[/C][/ROW]
[ROW][C]127[/C][C]91.4[/C][C]93.1247380851957[/C][C]-1.72473808519568[/C][/ROW]
[ROW][C]128[/C][C]93.4[/C][C]93.0829787188804[/C][C]0.317021281119565[/C][/ROW]
[ROW][C]129[/C][C]90.8[/C][C]93.0340487699738[/C][C]-2.23404876997381[/C][/ROW]
[ROW][C]130[/C][C]96.1[/C][C]98.5213139021082[/C][C]-2.42131390210824[/C][/ROW]
[ROW][C]131[/C][C]102.6[/C][C]99.6669142415365[/C][C]2.93308575846348[/C][/ROW]
[ROW][C]132[/C][C]107.7[/C][C]111.885007004366[/C][C]-4.18500700436572[/C][/ROW]
[ROW][C]133[/C][C]111.4[/C][C]112.728870801177[/C][C]-1.3288708011771[/C][/ROW]
[ROW][C]134[/C][C]98.9[/C][C]99.6512615335344[/C][C]-0.751261533534375[/C][/ROW]
[ROW][C]135[/C][C]100.7[/C][C]99.6940995766792[/C][C]1.00590042332084[/C][/ROW]
[ROW][C]136[/C][C]91[/C][C]87.3421891174775[/C][C]3.65781088252251[/C][/ROW]
[ROW][C]137[/C][C]94.8[/C][C]88.896269381035[/C][C]5.90373061896501[/C][/ROW]
[ROW][C]138[/C][C]87.3[/C][C]88.7166622034736[/C][C]-1.41666220347362[/C][/ROW]
[ROW][C]139[/C][C]88.8[/C][C]91.2725064588906[/C][C]-2.47250645889061[/C][/ROW]
[ROW][C]140[/C][C]92.3[/C][C]91.3988817653511[/C][C]0.901118234648848[/C][/ROW]
[ROW][C]141[/C][C]90.9[/C][C]90.9592904638298[/C][C]-0.0592904638298108[/C][/ROW]
[ROW][C]142[/C][C]95.2[/C][C]97.4876798197701[/C][C]-2.28767981977008[/C][/ROW]
[ROW][C]143[/C][C]98.2[/C][C]100.135122395236[/C][C]-1.93512239523642[/C][/ROW]
[ROW][C]144[/C][C]103.5[/C][C]108.015504479332[/C][C]-4.51550447933164[/C][/ROW]
[ROW][C]145[/C][C]109.7[/C][C]109.444606998953[/C][C]0.255393001046812[/C][/ROW]
[ROW][C]146[/C][C]116.4[/C][C]97.3051460057371[/C][C]19.0948539942629[/C][/ROW]
[ROW][C]147[/C][C]87.5[/C][C]107.780774660202[/C][C]-20.280774660202[/C][/ROW]
[ROW][C]148[/C][C]87.2[/C][C]85.5074589147058[/C][C]1.69254108529417[/C][/ROW]
[ROW][C]149[/C][C]85.5[/C][C]86.6620545250649[/C][C]-1.16205452506486[/C][/ROW]
[ROW][C]150[/C][C]79[/C][C]80.9615783469244[/C][C]-1.96157834692441[/C][/ROW]
[ROW][C]151[/C][C]81.8[/C][C]82.9182930375106[/C][C]-1.11829303751057[/C][/ROW]
[ROW][C]152[/C][C]78.2[/C][C]84.5792890686516[/C][C]-6.37928906865163[/C][/ROW]
[ROW][C]153[/C][C]78.9[/C][C]80.1851890638895[/C][C]-1.28518906388949[/C][/ROW]
[ROW][C]154[/C][C]76.9[/C][C]85.436331455884[/C][C]-8.536331455884[/C][/ROW]
[ROW][C]155[/C][C]84.4[/C][C]84.9673325267238[/C][C]-0.567332526723789[/C][/ROW]
[ROW][C]156[/C][C]93.1[/C][C]92.7527580278575[/C][C]0.34724197214247[/C][/ROW]
[ROW][C]157[/C][C]101.6[/C][C]97.808657881198[/C][C]3.79134211880198[/C][/ROW]
[ROW][C]158[/C][C]97.1[/C][C]92.3998985851957[/C][C]4.70010141480425[/C][/ROW]
[ROW][C]159[/C][C]99.3[/C][C]85.0811937232168[/C][C]14.2188062767832[/C][/ROW]
[ROW][C]160[/C][C]77.8[/C][C]85.8909797174631[/C][C]-8.09097971746309[/C][/ROW]
[ROW][C]161[/C][C]74.3[/C][C]81.3824891360691[/C][C]-7.08248913606914[/C][/ROW]
[ROW][C]162[/C][C]80.4[/C][C]72.4727696665288[/C][C]7.9272303334712[/C][/ROW]
[ROW][C]163[/C][C]85.3[/C][C]79.5794135017833[/C][C]5.72058649821666[/C][/ROW]
[ROW][C]164[/C][C]80.1[/C][C]83.2651930885144[/C][C]-3.16519308851436[/C][/ROW]
[ROW][C]165[/C][C]78.8[/C][C]81.8617940513104[/C][C]-3.0617940513104[/C][/ROW]
[ROW][C]166[/C][C]91.8[/C][C]84.3146782432736[/C][C]7.48532175672636[/C][/ROW]
[ROW][C]167[/C][C]100[/C][C]94.0426559072888[/C][C]5.95734409271117[/C][/ROW]
[ROW][C]168[/C][C]108.4[/C][C]105.429613132029[/C][C]2.97038686797084[/C][/ROW]
[ROW][C]169[/C][C]101.7[/C][C]112.825210238357[/C][C]-11.1252102383568[/C][/ROW]
[ROW][C]170[/C][C]94.4[/C][C]100.277713859332[/C][C]-5.87771385933195[/C][/ROW]
[ROW][C]171[/C][C]89.5[/C][C]90.2432710317932[/C][C]-0.743271031793228[/C][/ROW]
[ROW][C]172[/C][C]69.8[/C][C]77.6060815128273[/C][C]-7.80608151282732[/C][/ROW]
[ROW][C]173[/C][C]72.5[/C][C]73.477153327004[/C][C]-0.977153327004046[/C][/ROW]
[ROW][C]174[/C][C]69.1[/C][C]71.6071066951019[/C][C]-2.50710669510192[/C][/ROW]
[ROW][C]175[/C][C]71.9[/C][C]72.8734754370558[/C][C]-0.973475437055839[/C][/ROW]
[ROW][C]176[/C][C]67[/C][C]70.7788043223716[/C][C]-3.77880432237163[/C][/ROW]
[ROW][C]177[/C][C]63.8[/C][C]69.0236101708363[/C][C]-5.22361017083631[/C][/ROW]
[ROW][C]178[/C][C]73.2[/C][C]73.130743762242[/C][C]0.0692562377580401[/C][/ROW]
[ROW][C]179[/C][C]74.2[/C][C]78.6443926934667[/C][C]-4.44439269346667[/C][/ROW]
[ROW][C]180[/C][C]84.7[/C][C]83.9012853404361[/C][C]0.798714659563913[/C][/ROW]
[ROW][C]181[/C][C]97.8[/C][C]86.300676922587[/C][C]11.499323077413[/C][/ROW]
[ROW][C]182[/C][C]87.4[/C][C]86.3662472780984[/C][C]1.03375272190161[/C][/ROW]
[ROW][C]183[/C][C]81.8[/C][C]81.1020252509569[/C][C]0.697974749043055[/C][/ROW]
[ROW][C]184[/C][C]68.6[/C][C]67.2579408601182[/C][C]1.34205913988184[/C][/ROW]
[ROW][C]185[/C][C]64.9[/C][C]69.5048769171317[/C][C]-4.60487691713168[/C][/ROW]
[ROW][C]186[/C][C]64.1[/C][C]65.3953768901895[/C][C]-1.29537689018954[/C][/ROW]
[ROW][C]187[/C][C]63.6[/C][C]67.6577570882365[/C][C]-4.05775708823648[/C][/ROW]
[ROW][C]188[/C][C]59.8[/C][C]63.2477507188864[/C][C]-3.4477507188864[/C][/ROW]
[ROW][C]189[/C][C]66.3[/C][C]61.2448762190673[/C][C]5.0551237809327[/C][/ROW]
[ROW][C]190[/C][C]78.1[/C][C]71.9003609610583[/C][C]6.19963903894167[/C][/ROW]
[ROW][C]191[/C][C]86.8[/C][C]79.2991657972761[/C][C]7.50083420272388[/C][/ROW]
[ROW][C]192[/C][C]89[/C][C]91.9872050821646[/C][C]-2.98720508216455[/C][/ROW]
[ROW][C]193[/C][C]111.3[/C][C]95.4135366402465[/C][C]15.8864633597535[/C][/ROW]
[ROW][C]194[/C][C]99.7[/C][C]94.9519957250318[/C][C]4.74800427496821[/C][/ROW]
[ROW][C]195[/C][C]103.7[/C][C]91.5406389941538[/C][C]12.1593610058462[/C][/ROW]
[ROW][C]196[/C][C]90.4[/C][C]83.7161034430003[/C][C]6.68389655699966[/C][/ROW]
[ROW][C]197[/C][C]77.6[/C][C]87.1911391631028[/C][C]-9.59113916310281[/C][/ROW]
[ROW][C]198[/C][C]73.9[/C][C]81.6096236760243[/C][C]-7.70962367602431[/C][/ROW]
[ROW][C]199[/C][C]81.5[/C][C]80.0449482993178[/C][C]1.45505170068219[/C][/ROW]
[ROW][C]200[/C][C]88.2[/C][C]78.6763657276088[/C][C]9.52363427239116[/C][/ROW]
[ROW][C]201[/C][C]78[/C][C]85.5872386135866[/C][C]-7.58723861358662[/C][/ROW]
[ROW][C]202[/C][C]84.7[/C][C]90.3723439238659[/C][C]-5.67234392386585[/C][/ROW]
[ROW][C]203[/C][C]94.8[/C][C]92.2842327198525[/C][C]2.51576728014753[/C][/ROW]
[ROW][C]204[/C][C]101.5[/C][C]99.7576174304705[/C][C]1.74238256952954[/C][/ROW]
[ROW][C]205[/C][C]112.4[/C][C]110.664504435089[/C][C]1.7354955649112[/C][/ROW]
[ROW][C]206[/C][C]96.6[/C][C]100.209164785995[/C][C]-3.60916478599549[/C][/ROW]
[ROW][C]207[/C][C]96.9[/C][C]94.6123572246805[/C][C]2.28764277531955[/C][/ROW]
[ROW][C]208[/C][C]76.1[/C][C]80.373758004123[/C][C]-4.27375800412297[/C][/ROW]
[ROW][C]209[/C][C]76.9[/C][C]73.9728148821491[/C][C]2.92718511785091[/C][/ROW]
[ROW][C]210[/C][C]83.8[/C][C]75.1132969555077[/C][C]8.68670304449229[/C][/ROW]
[ROW][C]211[/C][C]89.4[/C][C]84.2066346191063[/C][C]5.19336538089368[/C][/ROW]
[ROW][C]212[/C][C]89.1[/C][C]86.9034173573429[/C][C]2.19658264265711[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310482&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310482&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
1394.897.4304754273504-2.63047542735045
148586.0877931982802-1.08779319828018
1587.487.8523459213466-0.452345921346591
1679.579.694729066731-0.194729066730986
1780.580.48574304557450.0142569544254627
1879.879.72688111432150.073118885678511
1978.876.2018077479252.59819225207497
2081.579.74969668469261.75030331530745
2182.685.8434481949957-3.24344819499572
2289.589.03891021049440.461089789505579
2390.791.1379701688724-0.437970168872425
2490.791.4911857834068-0.791185783406831
2595.790.52199643798645.17800356201356
2686.683.4994945134543.10050548654598
2792.487.55153271170374.84846728829631
2886.382.1545333846524.14546661534798
2984.785.2296176875799-0.529617687579929
3083.184.2767139057336-1.17671390573358
3182.280.85889251037441.34110748962557
3284.583.60611611676280.893883883237152
3381.287.9900031230383-6.79000312303835
3488.290.4414768489644-2.2414768489644
3589.190.9797424226042-1.8797424226042
3689.190.5414724834448-1.44147248344481
379890.85984835978877.14015164021126
3891.784.2884205173147.41157948268602
3990.990.9991143186283-0.0991143186283239
4087.182.97108770479944.12891229520059
4184.584.8150045411261-0.315004541126129
4283.583.8215355041001-0.321535504100069
4385.981.53001393530164.36998606469837
448985.70764530859863.29235469140139
4587.689.2856115002353-1.68561150023535
4692.995.5623428607341-2.66234286073411
4789.196.051534647628-6.95153464762804
4896.993.24658985061213.65341014938795
49104.198.45994542109595.64005457890414
509391.27174760592861.72825239407138
519893.18273775266344.81726224733659
5285.988.7911312415292-2.89113124152919
5384.885.9791711482078-1.17917114820777
5481.584.580941622818-3.08094162281802
5585.382.18271790052223.11728209947782
5679.385.4616655393753-6.16166553937535
5782.382.9758437674893-0.675843767489269
5887.889.479008067401-1.67900806740103
599589.30132527357875.69867472642126
60104.495.66742183643738.73257816356274
61103.5103.994632343477-0.494632343477448
6299.592.7314486836146.76855131638598
6396.698.0270536234447-1.42705362344468
6488.188.4886603166718-0.388660316671803
6586.487.4147052580935-1.01470525809354
6683.685.6248839148598-2.02488391485983
6785.785.44437192538870.255628074611337
6879.884.847882191718-5.04788219171796
6981.984.412250369953-2.51225036995298
7087.189.7564603321713-2.65646033217129
719291.08047456469030.919525435309737
72106.195.876113597651410.2238864023486
73108.5102.4949980804266.00500191957396
74101.496.44396604067514.95603395932487
75100.198.67534939576911.42465060423085
7684.490.8727335245021-6.4727335245021
7781.686.611661249265-5.01166124926502
7881.582.558938444283-1.058938444283
7980.983.4722665647387-2.57226656473868
8079.980.0439956458846-0.143995645884544
8181.282.7419041907589-1.5419041907589
8290.588.54624504580611.95375495419385
8391.793.1548702655756-1.45487026557562
84102.799.27089969572073.42910030427934
85104.8101.3734264185243.42657358147645
8698.793.74547821192974.95452178807032
87100.895.02305034017275.7769496598273
8893.687.28916398914936.31083601085072
8988.189.8446074081139-1.74460740811389
9086.888.5380882475371-1.73808824753711
9180.888.7687120171204-7.96871201712044
9284.683.33693298697351.26306701302653
938286.4091924841042-4.40919248410418
9493.691.75104133277091.84895866722914
9599.795.4328691049234.26713089507702
96102.1105.761141335851-3.6611413358512
97106.6104.3563396232232.243660376777
9895.996.5715990854676-0.671599085467548
9992.195.2677710066073-3.16777100660727
10085.983.18814752903522.7118524709648
10179.381.7599915766396-2.45999157663961
10283.780.05626470773483.64373529226522
10384.181.28634267142732.81365732857272
10483.283.7112607090399-0.51126070903986
1058584.39484318865020.605156811349843
10693.193.9347342213198-0.834734221319849
10795.496.9409152246726-1.54091522467259
108107.3102.2542408322815.04575916771944
109112.5106.7957899988375.70421000116272
11097.8100.000111017581-2.20011101758121
11199.197.30317787540811.79682212459187
11285.689.3213131873782-3.72131318737824
11387.283.33462655664843.86537344335156
1148686.4667908331041-0.466790833104099
11592.785.46302113851317.23697886148692
11698.889.26099831348659.53900168651353
11799.295.34513727841413.85486272158587
118101.4106.223274865873-4.82327486587296
11998.8107.138775948836-8.33877594883579
120113.2110.8812649287492.31873507125124
121119.2114.2912305805224.90876941947843
122107.4105.040310798772.35968920122967
123111.6105.7504674333565.84953256664426
12494.898.3990075435094-3.59900754350943
12597.794.57864414699263.12135585300742
12687.396.2628113494511-8.9628113494511
12791.493.1247380851957-1.72473808519568
12893.493.08297871888040.317021281119565
12990.893.0340487699738-2.23404876997381
13096.198.5213139021082-2.42131390210824
131102.699.66691424153652.93308575846348
132107.7111.885007004366-4.18500700436572
133111.4112.728870801177-1.3288708011771
13498.999.6512615335344-0.751261533534375
135100.799.69409957667921.00590042332084
1369187.34218911747753.65781088252251
13794.888.8962693810355.90373061896501
13887.388.7166622034736-1.41666220347362
13988.891.2725064588906-2.47250645889061
14092.391.39888176535110.901118234648848
14190.990.9592904638298-0.0592904638298108
14295.297.4876798197701-2.28767981977008
14398.2100.135122395236-1.93512239523642
144103.5108.015504479332-4.51550447933164
145109.7109.4446069989530.255393001046812
146116.497.305146005737119.0948539942629
14787.5107.780774660202-20.280774660202
14887.285.50745891470581.69254108529417
14985.586.6620545250649-1.16205452506486
1507980.9615783469244-1.96157834692441
15181.882.9182930375106-1.11829303751057
15278.284.5792890686516-6.37928906865163
15378.980.1851890638895-1.28518906388949
15476.985.436331455884-8.536331455884
15584.484.9673325267238-0.567332526723789
15693.192.75275802785750.34724197214247
157101.697.8086578811983.79134211880198
15897.192.39989858519574.70010141480425
15999.385.081193723216814.2188062767832
16077.885.8909797174631-8.09097971746309
16174.381.3824891360691-7.08248913606914
16280.472.47276966652887.9272303334712
16385.379.57941350178335.72058649821666
16480.183.2651930885144-3.16519308851436
16578.881.8617940513104-3.0617940513104
16691.884.31467824327367.48532175672636
16710094.04265590728885.95734409271117
168108.4105.4296131320292.97038686797084
169101.7112.825210238357-11.1252102383568
17094.4100.277713859332-5.87771385933195
17189.590.2432710317932-0.743271031793228
17269.877.6060815128273-7.80608151282732
17372.573.477153327004-0.977153327004046
17469.171.6071066951019-2.50710669510192
17571.972.8734754370558-0.973475437055839
1766770.7788043223716-3.77880432237163
17763.869.0236101708363-5.22361017083631
17873.273.1307437622420.0692562377580401
17974.278.6443926934667-4.44439269346667
18084.783.90128534043610.798714659563913
18197.886.30067692258711.499323077413
18287.486.36624727809841.03375272190161
18381.881.10202525095690.697974749043055
18468.667.25794086011821.34205913988184
18564.969.5048769171317-4.60487691713168
18664.165.3953768901895-1.29537689018954
18763.667.6577570882365-4.05775708823648
18859.863.2477507188864-3.4477507188864
18966.361.24487621906735.0551237809327
19078.171.90036096105836.19963903894167
19186.879.29916579727617.50083420272388
1928991.9872050821646-2.98720508216455
193111.395.413536640246515.8864633597535
19499.794.95199572503184.74800427496821
195103.791.540638994153812.1593610058462
19690.483.71610344300036.68389655699966
19777.687.1911391631028-9.59113916310281
19873.981.6096236760243-7.70962367602431
19981.580.04494829931781.45505170068219
20088.278.67636572760889.52363427239116
2017885.5872386135866-7.58723861358662
20284.790.3723439238659-5.67234392386585
20394.892.28423271985252.51576728014753
204101.599.75761743047051.74238256952954
205112.4110.6645044350891.7354955649112
20696.6100.209164785995-3.60916478599549
20796.994.61235722468052.28764277531955
20876.180.373758004123-4.27375800412297
20976.973.97281488214912.92718511785091
21083.875.11329695550778.68670304449229
21189.484.20663461910635.19336538089368
21289.186.90341735734292.19658264265711







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21385.617091155309775.863098583370895.3710837272486
21494.746698168467183.8310239439979105.662372392936
215101.74179059651889.7623221435539113.721259049483
216107.8146072690894.8450281793789120.784186358781
217117.904905563412104.003058759187131.806752367638
218105.20625191210590.4189532549433119.993550569267
219103.04376495047787.4097954757746118.677734425179
22085.966603824313569.5186801500096102.414527498617
22183.686495563037466.4526270099937100.920364116081
22284.961048596763166.9655061873883102.956591006138
22388.816175376036370.0802044682913107.552146283781
22488.131013677956668.6733711743935107.58865618152

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 85.6170911553097 & 75.8630985833708 & 95.3710837272486 \tabularnewline
214 & 94.7466981684671 & 83.8310239439979 & 105.662372392936 \tabularnewline
215 & 101.741790596518 & 89.7623221435539 & 113.721259049483 \tabularnewline
216 & 107.81460726908 & 94.8450281793789 & 120.784186358781 \tabularnewline
217 & 117.904905563412 & 104.003058759187 & 131.806752367638 \tabularnewline
218 & 105.206251912105 & 90.4189532549433 & 119.993550569267 \tabularnewline
219 & 103.043764950477 & 87.4097954757746 & 118.677734425179 \tabularnewline
220 & 85.9666038243135 & 69.5186801500096 & 102.414527498617 \tabularnewline
221 & 83.6864955630374 & 66.4526270099937 & 100.920364116081 \tabularnewline
222 & 84.9610485967631 & 66.9655061873883 & 102.956591006138 \tabularnewline
223 & 88.8161753760363 & 70.0802044682913 & 107.552146283781 \tabularnewline
224 & 88.1310136779566 & 68.6733711743935 & 107.58865618152 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310482&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]85.6170911553097[/C][C]75.8630985833708[/C][C]95.3710837272486[/C][/ROW]
[ROW][C]214[/C][C]94.7466981684671[/C][C]83.8310239439979[/C][C]105.662372392936[/C][/ROW]
[ROW][C]215[/C][C]101.741790596518[/C][C]89.7623221435539[/C][C]113.721259049483[/C][/ROW]
[ROW][C]216[/C][C]107.81460726908[/C][C]94.8450281793789[/C][C]120.784186358781[/C][/ROW]
[ROW][C]217[/C][C]117.904905563412[/C][C]104.003058759187[/C][C]131.806752367638[/C][/ROW]
[ROW][C]218[/C][C]105.206251912105[/C][C]90.4189532549433[/C][C]119.993550569267[/C][/ROW]
[ROW][C]219[/C][C]103.043764950477[/C][C]87.4097954757746[/C][C]118.677734425179[/C][/ROW]
[ROW][C]220[/C][C]85.9666038243135[/C][C]69.5186801500096[/C][C]102.414527498617[/C][/ROW]
[ROW][C]221[/C][C]83.6864955630374[/C][C]66.4526270099937[/C][C]100.920364116081[/C][/ROW]
[ROW][C]222[/C][C]84.9610485967631[/C][C]66.9655061873883[/C][C]102.956591006138[/C][/ROW]
[ROW][C]223[/C][C]88.8161753760363[/C][C]70.0802044682913[/C][C]107.552146283781[/C][/ROW]
[ROW][C]224[/C][C]88.1310136779566[/C][C]68.6733711743935[/C][C]107.58865618152[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310482&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310482&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
21385.617091155309775.863098583370895.3710837272486
21494.746698168467183.8310239439979105.662372392936
215101.74179059651889.7623221435539113.721259049483
216107.8146072690894.8450281793789120.784186358781
217117.904905563412104.003058759187131.806752367638
218105.20625191210590.4189532549433119.993550569267
219103.04376495047787.4097954757746118.677734425179
22085.966603824313569.5186801500096102.414527498617
22183.686495563037466.4526270099937100.920364116081
22284.961048596763166.9655061873883102.956591006138
22388.816175376036370.0802044682913107.552146283781
22488.131013677956668.6733711743935107.58865618152



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'multiplicative'
par2 <- 'Triple'
par1 <- '12'
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')