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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 computationThu, 14 Dec 2017 16:26:59 +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/14/t15132653016qbxf78ak57g9o1.htm/, Retrieved Tue, 14 May 2024 22:11:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309532, Retrieved Tue, 14 May 2024 22:11:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-14 15:26:59] [d2d54f927b4b6a5dbf001a3c29aa1f74] [Current]
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Dataseries X:
122.2
136.1
145.5
116.7
137.1
125.5
112.4
106.3
145.7
151.5
144.6
116.4
137.7
138.8
149.5
125
133.4
134.4
124.8
110.6
142.4
149.6
134.6
103.3
136.5
137.1
140.7
131.4
126.2
125.3
126.6
107.7
144.5
154.2
131.4
105.7
136.2
133.3
130
129.3
113.1
117.7
116.3
97.3
140.6
141.2
120.8
106.2
121.5
122.6
137.2
118.9
107.2
127.4
111.8
100
138.3
128
121.2
105.9
112.5
123.1
129
115.5
105.7
122.3
106.4
101.1
131.6
119.5
127
106.9
115.9
122.7
137.2
108.5
115.2
129.4
112.3
104.3
140
139.9
134.9
105.1
127
135.5
143.9
115.8
117.5
129.3
117.9
108.1
131.7
143.7
126.2
96.9
125.8
129.6
124.9
136.8
107.5
114.3
110.3
85.5
116.8
115.1
95.2
83.4
95.4
96.3
100.5
90.9
80.6
94.8
93.9
75.9
101.6
103.3
91.8
83.5
92
101.2
109.1
99.8
90.8
110.6
97.8
81.9
114.4
108.8
103.1
90.4
94.4
100.5
115.1
93.9
102.5
97.1
91.2
82.3
107.1
99.2
94.8
81.1
92.5
97.7
98.5
81.2
86.2
92
86.3
74.8
90
101.1
87.8
66.3
88.6
90
92
85.1
85.9
88.5
92.3
68
93.6
97.7
85.1
69.9
96.1
97
95.9
91.3
83.5
91.4
96.8
71
106.9
102.7
84.9
75.8
93.6
100.7
100.5
95.9
85.7
104.1
93.5
81.5
102.1
98.2
88.4
77.8
90.1
101
98.6
91.5
86.4
98.9
85.2
77.3
93
86.8
91.3
74.9
93.9
95
103.1
81.4
93.1
97.2
86.4
75.5




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=309532&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=309532&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309532&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
alpha0.315301149138669
beta0.0209598536193384
gamma0.395323046270938

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.315301149138669 \tabularnewline
beta & 0.0209598536193384 \tabularnewline
gamma & 0.395323046270938 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309532&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]0.315301149138669[/C][/ROW]
[ROW][C]beta[/C][C]0.0209598536193384[/C][/ROW]
[ROW][C]gamma[/C][C]0.395323046270938[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309532&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309532&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
alpha0.315301149138669
beta0.0209598536193384
gamma0.395323046270938







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13137.7135.2892307773632.41076922263662
14138.8136.7037963731412.09620362685908
15149.5148.2232302610551.27676973894464
16125124.7409033158130.259096684187156
17133.4133.997414820679-0.597414820679035
18134.4136.083372584773-1.68337258477297
19124.8115.258467642639.54153235737019
20110.6111.486719100903-0.886719100903051
21142.4152.482798086183-10.0827980861834
22149.6154.969823505661-5.36982350566072
23134.6146.359491924281-11.7594919242813
24103.3114.802994695311-11.502994695311
25136.5131.3703220279345.12967797206616
26137.1133.398693415373.70130658463032
27140.7144.802084634051-4.10208463405138
28131.4120.09111718125811.3088828187415
29126.2132.428380162777-6.22838016277693
30125.3132.278626802748-6.97862680274771
31126.6113.27062198222313.3293780177773
32107.7108.040498296761-0.340498296761496
33144.5145.475579814855-0.975579814854797
34154.2151.9485719182192.25142808178052
35131.4143.849552688126-12.4495526881264
36105.7111.922846923801-6.22284692380134
37136.2135.0767258615521.12327413844844
38133.3135.423544911569-2.12354491156859
39130142.756122816123-12.7561228161233
40129.3119.7951922996879.50480770031349
41113.1126.551284484151-13.4512844841511
42117.7123.645492619817-5.94549261981685
43116.3110.7578664013695.54213359863144
4497.3100.131968699542-2.8319686995424
45140.6133.378842111517.22115788849047
46141.2142.609022205773-1.40902220577348
47120.8130.004430024629-9.20443002462908
48106.2102.4204873363983.7795126636022
49121.5129.424602041394-7.92460204139431
50122.6125.915274994367-3.3152749943668
51137.2129.3507979726457.84920202735475
52118.9119.120338770381-0.220338770381389
53107.2116.480144753459-9.28014475345883
54127.4116.65018503538510.7498149646145
55111.8112.128233664314-0.328233664313842
5610097.60448539789682.3955146021032
57138.3135.1549402896053.14505971039452
58128140.694753246019-12.6947532460194
59121.2122.795320601112-1.59532060111231
60105.9101.4773126586264.42268734137436
61112.5125.06206757635-12.56206757635
62123.1121.2594184308311.84058156916888
63129129.142429861008-0.142429861007884
64115.5114.6712727263140.828727273686127
65105.7109.952212575944-4.25221257594428
66122.3116.8246438486565.47535615134444
67106.4107.964464388623-1.56446438862334
68101.194.26312460942096.83687539057912
69131.6132.393813956943-0.793813956943211
70119.5132.222841158073-12.7228411580731
71127117.6556021281019.34439787189902
72106.9101.5982312221285.30176877787179
73115.9120.624575600967-4.72457560096714
74122.7123.299408922803-0.599408922803292
75137.2129.9652669904957.23473300950474
76108.5117.819533699682-9.31953369968227
77115.2108.542114152656.65788584735017
78129.4121.8874590628897.51254093711066
79112.3111.4244809293230.8755190706772
80104.3100.3552675897463.94473241025418
81140136.7710827354913.22891726450919
82139.9134.5252212453315.37477875466945
83134.9131.4061503871373.49384961286256
84105.1111.030039173961-5.9300391739615
85127124.5179003320512.48209966794855
86135.5131.082891190024.41710880998002
87143.9142.3275497244081.57245027559219
88115.8122.783020696437-6.98302069643748
89117.5118.549113499381-1.04911349938128
90129.3130.36593286148-1.06593286148004
91117.9115.0220294255822.8779705744178
92108.1105.0873562817943.01264371820643
93131.7142.229019814866-10.529019814866
94143.7136.1855388026727.51446119732833
95126.2133.185809233036-6.98580923303602
9696.9107.314300002768-10.4143000027683
97125.8120.9806451077624.8193548922377
98129.6128.5288138031151.07118619688546
99124.9137.501044841921-12.6010448419215
100136.8112.48084279454524.3191572054546
101107.5119.738438613963-12.2384386139635
102114.3127.754866465988-13.4548664659881
103110.3110.1145712579850.185428742015034
10485.599.8408402388645-14.3408402388645
105116.8123.968946539762-7.16894653976186
106115.1123.313795598628-8.21379559862841
10795.2112.350058351642-17.1500583516416
10883.486.1374900197299-2.73749001972988
10995.4102.632679927894-7.23267992789424
11096.3103.938960951175-7.63896095117524
111100.5104.775899195425-4.27589919542534
11290.993.8358657182507-2.93586571825068
11380.684.7054305854734-4.10543058547337
11494.891.28099356283573.51900643716425
11593.984.44695409229279.45304590770735
11675.975.61986289398580.280137106014166
117101.6100.6486367829450.951363217054507
118103.3101.7092368820391.59076311796112
11991.892.4697954113169-0.669795411316855
12083.576.90233761044646.59766238955362
1219293.9821310340559-1.98213103405588
122101.296.60602426287984.59397573712025
123109.1102.23431353236.86568646770033
12499.895.1442976639944.655702336006
12590.887.8761279586432.92387204135703
126110.699.822435827423910.7775641725761
12797.896.47197274861551.32802725138448
12881.981.74020984933680.159790150663241
129114.4109.2198620023455.18013799765501
130108.8112.23127363739-3.43127363739039
131103.1100.2243844203452.87561557965492
13290.486.64640103813523.75359896186484
13394.4101.895735315708-7.49573531570837
134100.5105.161644255001-4.66164425500133
135115.1108.8486544683926.25134553160822
13693.9100.690147029407-6.79014702940708
137102.589.342283512466413.1577164875336
13897.1107.283402376552-10.1834023765516
13991.294.9547595157744-3.75475951577444
14082.378.83381160809753.46618839190251
141107.1108.024553699393-0.924553699392675
14299.2106.767258124612-7.56725812461178
14394.895.5770193614574-0.777019361457434
14481.181.9109135696494-0.810913569649401
14592.591.61368753055520.886312469444846
14697.797.8292840757771-0.129284075777051
14798.5105.455012324109-6.95501232410872
14881.290.5629956042319-9.36299560423194
14986.283.87388725109262.32611274890741
1509290.81606780909011.18393219090994
15186.384.38735177673561.91264822326437
15274.872.98674225281341.81325774718664
1539097.893448616517-7.89344861651703
154101.192.71982486057958.38017513942054
15587.888.7970169577811-0.997016957781071
15666.375.9244076612396-9.62440766123964
15788.682.06429258917026.5357074108298
1589089.18073818814840.819261811851618
1599294.6131253495392-2.61312534953923
16085.181.28433245625613.81566754374394
16185.981.94934203092333.9506579690767
16288.588.9907852413886-0.490785241388636
16392.382.44485304688589.8551469531142
1646873.5866144232305-5.58661442323054
16593.692.84940946874970.750590531250339
16697.794.83077925628732.86922074371267
16785.186.8504348811045-1.7504348811045
16869.971.6526300295449-1.75263002954486
16996.184.870238906724611.2297610932754
1709792.17243879388694.82756120611307
17195.998.3166644906017-2.41666449060165
17291.386.4307947991234.86920520087703
17383.587.6016896768833-4.10168967688331
17491.491.13664975999560.263350240004414
17596.887.55235518215259.2476448178475
1767173.968537579839-2.96853757983899
177106.996.805090734953810.0949092650462
178102.7102.6974114403830.00258855961676829
17984.992.0982117498811-7.19821174988107
18075.874.6180282579971.18197174200301
18193.693.39706805777760.202931942222406
182100.795.60807867823455.09192132176548
183100.5100.0309616763670.469038323633427
18495.990.80371151834755.09628848165252
18585.789.6098982566279-3.90989825662794
186104.194.72824499420349.37175500579662
18793.596.4570955517548-2.95709555175483
18881.575.23407763235586.26592236764422
189102.1106.497768736827-4.39776873682651
19098.2105.169755027805-6.96975502780457
19188.490.3692066754794-1.96920667547937
19277.876.58519608673521.21480391326484
19390.195.578428004854-5.478428004854
19410197.34133858194313.65866141805691
19598.6100.079280718631-1.47928071863087
19691.591.5283857332858-0.0283857332858304
19786.486.3653918094420.0346081905579894
19898.996.13754426630832.76245573369168
19985.292.5387965166694-7.33879651666943
20077.373.17287129618574.12712870381426
2019399.2782716762278-6.2782716762278
20286.896.550195163324-9.75019516332401
20391.382.94807025267798.35192974732213
20474.973.73517488586191.16482511413808
20593.990.12625360490993.77374639509013
2069597.2092794114297-2.2092794114297
207103.196.6669948335766.43300516642395
20881.491.0650106951454-9.66501069514538
20993.183.033391411569710.0666085884303
21097.296.70851757278040.491482427219623
21186.489.6879153265135-3.28791532651346
21275.574.65182857378830.848171426211664

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 137.7 & 135.289230777363 & 2.41076922263662 \tabularnewline
14 & 138.8 & 136.703796373141 & 2.09620362685908 \tabularnewline
15 & 149.5 & 148.223230261055 & 1.27676973894464 \tabularnewline
16 & 125 & 124.740903315813 & 0.259096684187156 \tabularnewline
17 & 133.4 & 133.997414820679 & -0.597414820679035 \tabularnewline
18 & 134.4 & 136.083372584773 & -1.68337258477297 \tabularnewline
19 & 124.8 & 115.25846764263 & 9.54153235737019 \tabularnewline
20 & 110.6 & 111.486719100903 & -0.886719100903051 \tabularnewline
21 & 142.4 & 152.482798086183 & -10.0827980861834 \tabularnewline
22 & 149.6 & 154.969823505661 & -5.36982350566072 \tabularnewline
23 & 134.6 & 146.359491924281 & -11.7594919242813 \tabularnewline
24 & 103.3 & 114.802994695311 & -11.502994695311 \tabularnewline
25 & 136.5 & 131.370322027934 & 5.12967797206616 \tabularnewline
26 & 137.1 & 133.39869341537 & 3.70130658463032 \tabularnewline
27 & 140.7 & 144.802084634051 & -4.10208463405138 \tabularnewline
28 & 131.4 & 120.091117181258 & 11.3088828187415 \tabularnewline
29 & 126.2 & 132.428380162777 & -6.22838016277693 \tabularnewline
30 & 125.3 & 132.278626802748 & -6.97862680274771 \tabularnewline
31 & 126.6 & 113.270621982223 & 13.3293780177773 \tabularnewline
32 & 107.7 & 108.040498296761 & -0.340498296761496 \tabularnewline
33 & 144.5 & 145.475579814855 & -0.975579814854797 \tabularnewline
34 & 154.2 & 151.948571918219 & 2.25142808178052 \tabularnewline
35 & 131.4 & 143.849552688126 & -12.4495526881264 \tabularnewline
36 & 105.7 & 111.922846923801 & -6.22284692380134 \tabularnewline
37 & 136.2 & 135.076725861552 & 1.12327413844844 \tabularnewline
38 & 133.3 & 135.423544911569 & -2.12354491156859 \tabularnewline
39 & 130 & 142.756122816123 & -12.7561228161233 \tabularnewline
40 & 129.3 & 119.795192299687 & 9.50480770031349 \tabularnewline
41 & 113.1 & 126.551284484151 & -13.4512844841511 \tabularnewline
42 & 117.7 & 123.645492619817 & -5.94549261981685 \tabularnewline
43 & 116.3 & 110.757866401369 & 5.54213359863144 \tabularnewline
44 & 97.3 & 100.131968699542 & -2.8319686995424 \tabularnewline
45 & 140.6 & 133.37884211151 & 7.22115788849047 \tabularnewline
46 & 141.2 & 142.609022205773 & -1.40902220577348 \tabularnewline
47 & 120.8 & 130.004430024629 & -9.20443002462908 \tabularnewline
48 & 106.2 & 102.420487336398 & 3.7795126636022 \tabularnewline
49 & 121.5 & 129.424602041394 & -7.92460204139431 \tabularnewline
50 & 122.6 & 125.915274994367 & -3.3152749943668 \tabularnewline
51 & 137.2 & 129.350797972645 & 7.84920202735475 \tabularnewline
52 & 118.9 & 119.120338770381 & -0.220338770381389 \tabularnewline
53 & 107.2 & 116.480144753459 & -9.28014475345883 \tabularnewline
54 & 127.4 & 116.650185035385 & 10.7498149646145 \tabularnewline
55 & 111.8 & 112.128233664314 & -0.328233664313842 \tabularnewline
56 & 100 & 97.6044853978968 & 2.3955146021032 \tabularnewline
57 & 138.3 & 135.154940289605 & 3.14505971039452 \tabularnewline
58 & 128 & 140.694753246019 & -12.6947532460194 \tabularnewline
59 & 121.2 & 122.795320601112 & -1.59532060111231 \tabularnewline
60 & 105.9 & 101.477312658626 & 4.42268734137436 \tabularnewline
61 & 112.5 & 125.06206757635 & -12.56206757635 \tabularnewline
62 & 123.1 & 121.259418430831 & 1.84058156916888 \tabularnewline
63 & 129 & 129.142429861008 & -0.142429861007884 \tabularnewline
64 & 115.5 & 114.671272726314 & 0.828727273686127 \tabularnewline
65 & 105.7 & 109.952212575944 & -4.25221257594428 \tabularnewline
66 & 122.3 & 116.824643848656 & 5.47535615134444 \tabularnewline
67 & 106.4 & 107.964464388623 & -1.56446438862334 \tabularnewline
68 & 101.1 & 94.2631246094209 & 6.83687539057912 \tabularnewline
69 & 131.6 & 132.393813956943 & -0.793813956943211 \tabularnewline
70 & 119.5 & 132.222841158073 & -12.7228411580731 \tabularnewline
71 & 127 & 117.655602128101 & 9.34439787189902 \tabularnewline
72 & 106.9 & 101.598231222128 & 5.30176877787179 \tabularnewline
73 & 115.9 & 120.624575600967 & -4.72457560096714 \tabularnewline
74 & 122.7 & 123.299408922803 & -0.599408922803292 \tabularnewline
75 & 137.2 & 129.965266990495 & 7.23473300950474 \tabularnewline
76 & 108.5 & 117.819533699682 & -9.31953369968227 \tabularnewline
77 & 115.2 & 108.54211415265 & 6.65788584735017 \tabularnewline
78 & 129.4 & 121.887459062889 & 7.51254093711066 \tabularnewline
79 & 112.3 & 111.424480929323 & 0.8755190706772 \tabularnewline
80 & 104.3 & 100.355267589746 & 3.94473241025418 \tabularnewline
81 & 140 & 136.771082735491 & 3.22891726450919 \tabularnewline
82 & 139.9 & 134.525221245331 & 5.37477875466945 \tabularnewline
83 & 134.9 & 131.406150387137 & 3.49384961286256 \tabularnewline
84 & 105.1 & 111.030039173961 & -5.9300391739615 \tabularnewline
85 & 127 & 124.517900332051 & 2.48209966794855 \tabularnewline
86 & 135.5 & 131.08289119002 & 4.41710880998002 \tabularnewline
87 & 143.9 & 142.327549724408 & 1.57245027559219 \tabularnewline
88 & 115.8 & 122.783020696437 & -6.98302069643748 \tabularnewline
89 & 117.5 & 118.549113499381 & -1.04911349938128 \tabularnewline
90 & 129.3 & 130.36593286148 & -1.06593286148004 \tabularnewline
91 & 117.9 & 115.022029425582 & 2.8779705744178 \tabularnewline
92 & 108.1 & 105.087356281794 & 3.01264371820643 \tabularnewline
93 & 131.7 & 142.229019814866 & -10.529019814866 \tabularnewline
94 & 143.7 & 136.185538802672 & 7.51446119732833 \tabularnewline
95 & 126.2 & 133.185809233036 & -6.98580923303602 \tabularnewline
96 & 96.9 & 107.314300002768 & -10.4143000027683 \tabularnewline
97 & 125.8 & 120.980645107762 & 4.8193548922377 \tabularnewline
98 & 129.6 & 128.528813803115 & 1.07118619688546 \tabularnewline
99 & 124.9 & 137.501044841921 & -12.6010448419215 \tabularnewline
100 & 136.8 & 112.480842794545 & 24.3191572054546 \tabularnewline
101 & 107.5 & 119.738438613963 & -12.2384386139635 \tabularnewline
102 & 114.3 & 127.754866465988 & -13.4548664659881 \tabularnewline
103 & 110.3 & 110.114571257985 & 0.185428742015034 \tabularnewline
104 & 85.5 & 99.8408402388645 & -14.3408402388645 \tabularnewline
105 & 116.8 & 123.968946539762 & -7.16894653976186 \tabularnewline
106 & 115.1 & 123.313795598628 & -8.21379559862841 \tabularnewline
107 & 95.2 & 112.350058351642 & -17.1500583516416 \tabularnewline
108 & 83.4 & 86.1374900197299 & -2.73749001972988 \tabularnewline
109 & 95.4 & 102.632679927894 & -7.23267992789424 \tabularnewline
110 & 96.3 & 103.938960951175 & -7.63896095117524 \tabularnewline
111 & 100.5 & 104.775899195425 & -4.27589919542534 \tabularnewline
112 & 90.9 & 93.8358657182507 & -2.93586571825068 \tabularnewline
113 & 80.6 & 84.7054305854734 & -4.10543058547337 \tabularnewline
114 & 94.8 & 91.2809935628357 & 3.51900643716425 \tabularnewline
115 & 93.9 & 84.4469540922927 & 9.45304590770735 \tabularnewline
116 & 75.9 & 75.6198628939858 & 0.280137106014166 \tabularnewline
117 & 101.6 & 100.648636782945 & 0.951363217054507 \tabularnewline
118 & 103.3 & 101.709236882039 & 1.59076311796112 \tabularnewline
119 & 91.8 & 92.4697954113169 & -0.669795411316855 \tabularnewline
120 & 83.5 & 76.9023376104464 & 6.59766238955362 \tabularnewline
121 & 92 & 93.9821310340559 & -1.98213103405588 \tabularnewline
122 & 101.2 & 96.6060242628798 & 4.59397573712025 \tabularnewline
123 & 109.1 & 102.2343135323 & 6.86568646770033 \tabularnewline
124 & 99.8 & 95.144297663994 & 4.655702336006 \tabularnewline
125 & 90.8 & 87.876127958643 & 2.92387204135703 \tabularnewline
126 & 110.6 & 99.8224358274239 & 10.7775641725761 \tabularnewline
127 & 97.8 & 96.4719727486155 & 1.32802725138448 \tabularnewline
128 & 81.9 & 81.7402098493368 & 0.159790150663241 \tabularnewline
129 & 114.4 & 109.219862002345 & 5.18013799765501 \tabularnewline
130 & 108.8 & 112.23127363739 & -3.43127363739039 \tabularnewline
131 & 103.1 & 100.224384420345 & 2.87561557965492 \tabularnewline
132 & 90.4 & 86.6464010381352 & 3.75359896186484 \tabularnewline
133 & 94.4 & 101.895735315708 & -7.49573531570837 \tabularnewline
134 & 100.5 & 105.161644255001 & -4.66164425500133 \tabularnewline
135 & 115.1 & 108.848654468392 & 6.25134553160822 \tabularnewline
136 & 93.9 & 100.690147029407 & -6.79014702940708 \tabularnewline
137 & 102.5 & 89.3422835124664 & 13.1577164875336 \tabularnewline
138 & 97.1 & 107.283402376552 & -10.1834023765516 \tabularnewline
139 & 91.2 & 94.9547595157744 & -3.75475951577444 \tabularnewline
140 & 82.3 & 78.8338116080975 & 3.46618839190251 \tabularnewline
141 & 107.1 & 108.024553699393 & -0.924553699392675 \tabularnewline
142 & 99.2 & 106.767258124612 & -7.56725812461178 \tabularnewline
143 & 94.8 & 95.5770193614574 & -0.777019361457434 \tabularnewline
144 & 81.1 & 81.9109135696494 & -0.810913569649401 \tabularnewline
145 & 92.5 & 91.6136875305552 & 0.886312469444846 \tabularnewline
146 & 97.7 & 97.8292840757771 & -0.129284075777051 \tabularnewline
147 & 98.5 & 105.455012324109 & -6.95501232410872 \tabularnewline
148 & 81.2 & 90.5629956042319 & -9.36299560423194 \tabularnewline
149 & 86.2 & 83.8738872510926 & 2.32611274890741 \tabularnewline
150 & 92 & 90.8160678090901 & 1.18393219090994 \tabularnewline
151 & 86.3 & 84.3873517767356 & 1.91264822326437 \tabularnewline
152 & 74.8 & 72.9867422528134 & 1.81325774718664 \tabularnewline
153 & 90 & 97.893448616517 & -7.89344861651703 \tabularnewline
154 & 101.1 & 92.7198248605795 & 8.38017513942054 \tabularnewline
155 & 87.8 & 88.7970169577811 & -0.997016957781071 \tabularnewline
156 & 66.3 & 75.9244076612396 & -9.62440766123964 \tabularnewline
157 & 88.6 & 82.0642925891702 & 6.5357074108298 \tabularnewline
158 & 90 & 89.1807381881484 & 0.819261811851618 \tabularnewline
159 & 92 & 94.6131253495392 & -2.61312534953923 \tabularnewline
160 & 85.1 & 81.2843324562561 & 3.81566754374394 \tabularnewline
161 & 85.9 & 81.9493420309233 & 3.9506579690767 \tabularnewline
162 & 88.5 & 88.9907852413886 & -0.490785241388636 \tabularnewline
163 & 92.3 & 82.4448530468858 & 9.8551469531142 \tabularnewline
164 & 68 & 73.5866144232305 & -5.58661442323054 \tabularnewline
165 & 93.6 & 92.8494094687497 & 0.750590531250339 \tabularnewline
166 & 97.7 & 94.8307792562873 & 2.86922074371267 \tabularnewline
167 & 85.1 & 86.8504348811045 & -1.7504348811045 \tabularnewline
168 & 69.9 & 71.6526300295449 & -1.75263002954486 \tabularnewline
169 & 96.1 & 84.8702389067246 & 11.2297610932754 \tabularnewline
170 & 97 & 92.1724387938869 & 4.82756120611307 \tabularnewline
171 & 95.9 & 98.3166644906017 & -2.41666449060165 \tabularnewline
172 & 91.3 & 86.430794799123 & 4.86920520087703 \tabularnewline
173 & 83.5 & 87.6016896768833 & -4.10168967688331 \tabularnewline
174 & 91.4 & 91.1366497599956 & 0.263350240004414 \tabularnewline
175 & 96.8 & 87.5523551821525 & 9.2476448178475 \tabularnewline
176 & 71 & 73.968537579839 & -2.96853757983899 \tabularnewline
177 & 106.9 & 96.8050907349538 & 10.0949092650462 \tabularnewline
178 & 102.7 & 102.697411440383 & 0.00258855961676829 \tabularnewline
179 & 84.9 & 92.0982117498811 & -7.19821174988107 \tabularnewline
180 & 75.8 & 74.618028257997 & 1.18197174200301 \tabularnewline
181 & 93.6 & 93.3970680577776 & 0.202931942222406 \tabularnewline
182 & 100.7 & 95.6080786782345 & 5.09192132176548 \tabularnewline
183 & 100.5 & 100.030961676367 & 0.469038323633427 \tabularnewline
184 & 95.9 & 90.8037115183475 & 5.09628848165252 \tabularnewline
185 & 85.7 & 89.6098982566279 & -3.90989825662794 \tabularnewline
186 & 104.1 & 94.7282449942034 & 9.37175500579662 \tabularnewline
187 & 93.5 & 96.4570955517548 & -2.95709555175483 \tabularnewline
188 & 81.5 & 75.2340776323558 & 6.26592236764422 \tabularnewline
189 & 102.1 & 106.497768736827 & -4.39776873682651 \tabularnewline
190 & 98.2 & 105.169755027805 & -6.96975502780457 \tabularnewline
191 & 88.4 & 90.3692066754794 & -1.96920667547937 \tabularnewline
192 & 77.8 & 76.5851960867352 & 1.21480391326484 \tabularnewline
193 & 90.1 & 95.578428004854 & -5.478428004854 \tabularnewline
194 & 101 & 97.3413385819431 & 3.65866141805691 \tabularnewline
195 & 98.6 & 100.079280718631 & -1.47928071863087 \tabularnewline
196 & 91.5 & 91.5283857332858 & -0.0283857332858304 \tabularnewline
197 & 86.4 & 86.365391809442 & 0.0346081905579894 \tabularnewline
198 & 98.9 & 96.1375442663083 & 2.76245573369168 \tabularnewline
199 & 85.2 & 92.5387965166694 & -7.33879651666943 \tabularnewline
200 & 77.3 & 73.1728712961857 & 4.12712870381426 \tabularnewline
201 & 93 & 99.2782716762278 & -6.2782716762278 \tabularnewline
202 & 86.8 & 96.550195163324 & -9.75019516332401 \tabularnewline
203 & 91.3 & 82.9480702526779 & 8.35192974732213 \tabularnewline
204 & 74.9 & 73.7351748858619 & 1.16482511413808 \tabularnewline
205 & 93.9 & 90.1262536049099 & 3.77374639509013 \tabularnewline
206 & 95 & 97.2092794114297 & -2.2092794114297 \tabularnewline
207 & 103.1 & 96.666994833576 & 6.43300516642395 \tabularnewline
208 & 81.4 & 91.0650106951454 & -9.66501069514538 \tabularnewline
209 & 93.1 & 83.0333914115697 & 10.0666085884303 \tabularnewline
210 & 97.2 & 96.7085175727804 & 0.491482427219623 \tabularnewline
211 & 86.4 & 89.6879153265135 & -3.28791532651346 \tabularnewline
212 & 75.5 & 74.6518285737883 & 0.848171426211664 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309532&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]137.7[/C][C]135.289230777363[/C][C]2.41076922263662[/C][/ROW]
[ROW][C]14[/C][C]138.8[/C][C]136.703796373141[/C][C]2.09620362685908[/C][/ROW]
[ROW][C]15[/C][C]149.5[/C][C]148.223230261055[/C][C]1.27676973894464[/C][/ROW]
[ROW][C]16[/C][C]125[/C][C]124.740903315813[/C][C]0.259096684187156[/C][/ROW]
[ROW][C]17[/C][C]133.4[/C][C]133.997414820679[/C][C]-0.597414820679035[/C][/ROW]
[ROW][C]18[/C][C]134.4[/C][C]136.083372584773[/C][C]-1.68337258477297[/C][/ROW]
[ROW][C]19[/C][C]124.8[/C][C]115.25846764263[/C][C]9.54153235737019[/C][/ROW]
[ROW][C]20[/C][C]110.6[/C][C]111.486719100903[/C][C]-0.886719100903051[/C][/ROW]
[ROW][C]21[/C][C]142.4[/C][C]152.482798086183[/C][C]-10.0827980861834[/C][/ROW]
[ROW][C]22[/C][C]149.6[/C][C]154.969823505661[/C][C]-5.36982350566072[/C][/ROW]
[ROW][C]23[/C][C]134.6[/C][C]146.359491924281[/C][C]-11.7594919242813[/C][/ROW]
[ROW][C]24[/C][C]103.3[/C][C]114.802994695311[/C][C]-11.502994695311[/C][/ROW]
[ROW][C]25[/C][C]136.5[/C][C]131.370322027934[/C][C]5.12967797206616[/C][/ROW]
[ROW][C]26[/C][C]137.1[/C][C]133.39869341537[/C][C]3.70130658463032[/C][/ROW]
[ROW][C]27[/C][C]140.7[/C][C]144.802084634051[/C][C]-4.10208463405138[/C][/ROW]
[ROW][C]28[/C][C]131.4[/C][C]120.091117181258[/C][C]11.3088828187415[/C][/ROW]
[ROW][C]29[/C][C]126.2[/C][C]132.428380162777[/C][C]-6.22838016277693[/C][/ROW]
[ROW][C]30[/C][C]125.3[/C][C]132.278626802748[/C][C]-6.97862680274771[/C][/ROW]
[ROW][C]31[/C][C]126.6[/C][C]113.270621982223[/C][C]13.3293780177773[/C][/ROW]
[ROW][C]32[/C][C]107.7[/C][C]108.040498296761[/C][C]-0.340498296761496[/C][/ROW]
[ROW][C]33[/C][C]144.5[/C][C]145.475579814855[/C][C]-0.975579814854797[/C][/ROW]
[ROW][C]34[/C][C]154.2[/C][C]151.948571918219[/C][C]2.25142808178052[/C][/ROW]
[ROW][C]35[/C][C]131.4[/C][C]143.849552688126[/C][C]-12.4495526881264[/C][/ROW]
[ROW][C]36[/C][C]105.7[/C][C]111.922846923801[/C][C]-6.22284692380134[/C][/ROW]
[ROW][C]37[/C][C]136.2[/C][C]135.076725861552[/C][C]1.12327413844844[/C][/ROW]
[ROW][C]38[/C][C]133.3[/C][C]135.423544911569[/C][C]-2.12354491156859[/C][/ROW]
[ROW][C]39[/C][C]130[/C][C]142.756122816123[/C][C]-12.7561228161233[/C][/ROW]
[ROW][C]40[/C][C]129.3[/C][C]119.795192299687[/C][C]9.50480770031349[/C][/ROW]
[ROW][C]41[/C][C]113.1[/C][C]126.551284484151[/C][C]-13.4512844841511[/C][/ROW]
[ROW][C]42[/C][C]117.7[/C][C]123.645492619817[/C][C]-5.94549261981685[/C][/ROW]
[ROW][C]43[/C][C]116.3[/C][C]110.757866401369[/C][C]5.54213359863144[/C][/ROW]
[ROW][C]44[/C][C]97.3[/C][C]100.131968699542[/C][C]-2.8319686995424[/C][/ROW]
[ROW][C]45[/C][C]140.6[/C][C]133.37884211151[/C][C]7.22115788849047[/C][/ROW]
[ROW][C]46[/C][C]141.2[/C][C]142.609022205773[/C][C]-1.40902220577348[/C][/ROW]
[ROW][C]47[/C][C]120.8[/C][C]130.004430024629[/C][C]-9.20443002462908[/C][/ROW]
[ROW][C]48[/C][C]106.2[/C][C]102.420487336398[/C][C]3.7795126636022[/C][/ROW]
[ROW][C]49[/C][C]121.5[/C][C]129.424602041394[/C][C]-7.92460204139431[/C][/ROW]
[ROW][C]50[/C][C]122.6[/C][C]125.915274994367[/C][C]-3.3152749943668[/C][/ROW]
[ROW][C]51[/C][C]137.2[/C][C]129.350797972645[/C][C]7.84920202735475[/C][/ROW]
[ROW][C]52[/C][C]118.9[/C][C]119.120338770381[/C][C]-0.220338770381389[/C][/ROW]
[ROW][C]53[/C][C]107.2[/C][C]116.480144753459[/C][C]-9.28014475345883[/C][/ROW]
[ROW][C]54[/C][C]127.4[/C][C]116.650185035385[/C][C]10.7498149646145[/C][/ROW]
[ROW][C]55[/C][C]111.8[/C][C]112.128233664314[/C][C]-0.328233664313842[/C][/ROW]
[ROW][C]56[/C][C]100[/C][C]97.6044853978968[/C][C]2.3955146021032[/C][/ROW]
[ROW][C]57[/C][C]138.3[/C][C]135.154940289605[/C][C]3.14505971039452[/C][/ROW]
[ROW][C]58[/C][C]128[/C][C]140.694753246019[/C][C]-12.6947532460194[/C][/ROW]
[ROW][C]59[/C][C]121.2[/C][C]122.795320601112[/C][C]-1.59532060111231[/C][/ROW]
[ROW][C]60[/C][C]105.9[/C][C]101.477312658626[/C][C]4.42268734137436[/C][/ROW]
[ROW][C]61[/C][C]112.5[/C][C]125.06206757635[/C][C]-12.56206757635[/C][/ROW]
[ROW][C]62[/C][C]123.1[/C][C]121.259418430831[/C][C]1.84058156916888[/C][/ROW]
[ROW][C]63[/C][C]129[/C][C]129.142429861008[/C][C]-0.142429861007884[/C][/ROW]
[ROW][C]64[/C][C]115.5[/C][C]114.671272726314[/C][C]0.828727273686127[/C][/ROW]
[ROW][C]65[/C][C]105.7[/C][C]109.952212575944[/C][C]-4.25221257594428[/C][/ROW]
[ROW][C]66[/C][C]122.3[/C][C]116.824643848656[/C][C]5.47535615134444[/C][/ROW]
[ROW][C]67[/C][C]106.4[/C][C]107.964464388623[/C][C]-1.56446438862334[/C][/ROW]
[ROW][C]68[/C][C]101.1[/C][C]94.2631246094209[/C][C]6.83687539057912[/C][/ROW]
[ROW][C]69[/C][C]131.6[/C][C]132.393813956943[/C][C]-0.793813956943211[/C][/ROW]
[ROW][C]70[/C][C]119.5[/C][C]132.222841158073[/C][C]-12.7228411580731[/C][/ROW]
[ROW][C]71[/C][C]127[/C][C]117.655602128101[/C][C]9.34439787189902[/C][/ROW]
[ROW][C]72[/C][C]106.9[/C][C]101.598231222128[/C][C]5.30176877787179[/C][/ROW]
[ROW][C]73[/C][C]115.9[/C][C]120.624575600967[/C][C]-4.72457560096714[/C][/ROW]
[ROW][C]74[/C][C]122.7[/C][C]123.299408922803[/C][C]-0.599408922803292[/C][/ROW]
[ROW][C]75[/C][C]137.2[/C][C]129.965266990495[/C][C]7.23473300950474[/C][/ROW]
[ROW][C]76[/C][C]108.5[/C][C]117.819533699682[/C][C]-9.31953369968227[/C][/ROW]
[ROW][C]77[/C][C]115.2[/C][C]108.54211415265[/C][C]6.65788584735017[/C][/ROW]
[ROW][C]78[/C][C]129.4[/C][C]121.887459062889[/C][C]7.51254093711066[/C][/ROW]
[ROW][C]79[/C][C]112.3[/C][C]111.424480929323[/C][C]0.8755190706772[/C][/ROW]
[ROW][C]80[/C][C]104.3[/C][C]100.355267589746[/C][C]3.94473241025418[/C][/ROW]
[ROW][C]81[/C][C]140[/C][C]136.771082735491[/C][C]3.22891726450919[/C][/ROW]
[ROW][C]82[/C][C]139.9[/C][C]134.525221245331[/C][C]5.37477875466945[/C][/ROW]
[ROW][C]83[/C][C]134.9[/C][C]131.406150387137[/C][C]3.49384961286256[/C][/ROW]
[ROW][C]84[/C][C]105.1[/C][C]111.030039173961[/C][C]-5.9300391739615[/C][/ROW]
[ROW][C]85[/C][C]127[/C][C]124.517900332051[/C][C]2.48209966794855[/C][/ROW]
[ROW][C]86[/C][C]135.5[/C][C]131.08289119002[/C][C]4.41710880998002[/C][/ROW]
[ROW][C]87[/C][C]143.9[/C][C]142.327549724408[/C][C]1.57245027559219[/C][/ROW]
[ROW][C]88[/C][C]115.8[/C][C]122.783020696437[/C][C]-6.98302069643748[/C][/ROW]
[ROW][C]89[/C][C]117.5[/C][C]118.549113499381[/C][C]-1.04911349938128[/C][/ROW]
[ROW][C]90[/C][C]129.3[/C][C]130.36593286148[/C][C]-1.06593286148004[/C][/ROW]
[ROW][C]91[/C][C]117.9[/C][C]115.022029425582[/C][C]2.8779705744178[/C][/ROW]
[ROW][C]92[/C][C]108.1[/C][C]105.087356281794[/C][C]3.01264371820643[/C][/ROW]
[ROW][C]93[/C][C]131.7[/C][C]142.229019814866[/C][C]-10.529019814866[/C][/ROW]
[ROW][C]94[/C][C]143.7[/C][C]136.185538802672[/C][C]7.51446119732833[/C][/ROW]
[ROW][C]95[/C][C]126.2[/C][C]133.185809233036[/C][C]-6.98580923303602[/C][/ROW]
[ROW][C]96[/C][C]96.9[/C][C]107.314300002768[/C][C]-10.4143000027683[/C][/ROW]
[ROW][C]97[/C][C]125.8[/C][C]120.980645107762[/C][C]4.8193548922377[/C][/ROW]
[ROW][C]98[/C][C]129.6[/C][C]128.528813803115[/C][C]1.07118619688546[/C][/ROW]
[ROW][C]99[/C][C]124.9[/C][C]137.501044841921[/C][C]-12.6010448419215[/C][/ROW]
[ROW][C]100[/C][C]136.8[/C][C]112.480842794545[/C][C]24.3191572054546[/C][/ROW]
[ROW][C]101[/C][C]107.5[/C][C]119.738438613963[/C][C]-12.2384386139635[/C][/ROW]
[ROW][C]102[/C][C]114.3[/C][C]127.754866465988[/C][C]-13.4548664659881[/C][/ROW]
[ROW][C]103[/C][C]110.3[/C][C]110.114571257985[/C][C]0.185428742015034[/C][/ROW]
[ROW][C]104[/C][C]85.5[/C][C]99.8408402388645[/C][C]-14.3408402388645[/C][/ROW]
[ROW][C]105[/C][C]116.8[/C][C]123.968946539762[/C][C]-7.16894653976186[/C][/ROW]
[ROW][C]106[/C][C]115.1[/C][C]123.313795598628[/C][C]-8.21379559862841[/C][/ROW]
[ROW][C]107[/C][C]95.2[/C][C]112.350058351642[/C][C]-17.1500583516416[/C][/ROW]
[ROW][C]108[/C][C]83.4[/C][C]86.1374900197299[/C][C]-2.73749001972988[/C][/ROW]
[ROW][C]109[/C][C]95.4[/C][C]102.632679927894[/C][C]-7.23267992789424[/C][/ROW]
[ROW][C]110[/C][C]96.3[/C][C]103.938960951175[/C][C]-7.63896095117524[/C][/ROW]
[ROW][C]111[/C][C]100.5[/C][C]104.775899195425[/C][C]-4.27589919542534[/C][/ROW]
[ROW][C]112[/C][C]90.9[/C][C]93.8358657182507[/C][C]-2.93586571825068[/C][/ROW]
[ROW][C]113[/C][C]80.6[/C][C]84.7054305854734[/C][C]-4.10543058547337[/C][/ROW]
[ROW][C]114[/C][C]94.8[/C][C]91.2809935628357[/C][C]3.51900643716425[/C][/ROW]
[ROW][C]115[/C][C]93.9[/C][C]84.4469540922927[/C][C]9.45304590770735[/C][/ROW]
[ROW][C]116[/C][C]75.9[/C][C]75.6198628939858[/C][C]0.280137106014166[/C][/ROW]
[ROW][C]117[/C][C]101.6[/C][C]100.648636782945[/C][C]0.951363217054507[/C][/ROW]
[ROW][C]118[/C][C]103.3[/C][C]101.709236882039[/C][C]1.59076311796112[/C][/ROW]
[ROW][C]119[/C][C]91.8[/C][C]92.4697954113169[/C][C]-0.669795411316855[/C][/ROW]
[ROW][C]120[/C][C]83.5[/C][C]76.9023376104464[/C][C]6.59766238955362[/C][/ROW]
[ROW][C]121[/C][C]92[/C][C]93.9821310340559[/C][C]-1.98213103405588[/C][/ROW]
[ROW][C]122[/C][C]101.2[/C][C]96.6060242628798[/C][C]4.59397573712025[/C][/ROW]
[ROW][C]123[/C][C]109.1[/C][C]102.2343135323[/C][C]6.86568646770033[/C][/ROW]
[ROW][C]124[/C][C]99.8[/C][C]95.144297663994[/C][C]4.655702336006[/C][/ROW]
[ROW][C]125[/C][C]90.8[/C][C]87.876127958643[/C][C]2.92387204135703[/C][/ROW]
[ROW][C]126[/C][C]110.6[/C][C]99.8224358274239[/C][C]10.7775641725761[/C][/ROW]
[ROW][C]127[/C][C]97.8[/C][C]96.4719727486155[/C][C]1.32802725138448[/C][/ROW]
[ROW][C]128[/C][C]81.9[/C][C]81.7402098493368[/C][C]0.159790150663241[/C][/ROW]
[ROW][C]129[/C][C]114.4[/C][C]109.219862002345[/C][C]5.18013799765501[/C][/ROW]
[ROW][C]130[/C][C]108.8[/C][C]112.23127363739[/C][C]-3.43127363739039[/C][/ROW]
[ROW][C]131[/C][C]103.1[/C][C]100.224384420345[/C][C]2.87561557965492[/C][/ROW]
[ROW][C]132[/C][C]90.4[/C][C]86.6464010381352[/C][C]3.75359896186484[/C][/ROW]
[ROW][C]133[/C][C]94.4[/C][C]101.895735315708[/C][C]-7.49573531570837[/C][/ROW]
[ROW][C]134[/C][C]100.5[/C][C]105.161644255001[/C][C]-4.66164425500133[/C][/ROW]
[ROW][C]135[/C][C]115.1[/C][C]108.848654468392[/C][C]6.25134553160822[/C][/ROW]
[ROW][C]136[/C][C]93.9[/C][C]100.690147029407[/C][C]-6.79014702940708[/C][/ROW]
[ROW][C]137[/C][C]102.5[/C][C]89.3422835124664[/C][C]13.1577164875336[/C][/ROW]
[ROW][C]138[/C][C]97.1[/C][C]107.283402376552[/C][C]-10.1834023765516[/C][/ROW]
[ROW][C]139[/C][C]91.2[/C][C]94.9547595157744[/C][C]-3.75475951577444[/C][/ROW]
[ROW][C]140[/C][C]82.3[/C][C]78.8338116080975[/C][C]3.46618839190251[/C][/ROW]
[ROW][C]141[/C][C]107.1[/C][C]108.024553699393[/C][C]-0.924553699392675[/C][/ROW]
[ROW][C]142[/C][C]99.2[/C][C]106.767258124612[/C][C]-7.56725812461178[/C][/ROW]
[ROW][C]143[/C][C]94.8[/C][C]95.5770193614574[/C][C]-0.777019361457434[/C][/ROW]
[ROW][C]144[/C][C]81.1[/C][C]81.9109135696494[/C][C]-0.810913569649401[/C][/ROW]
[ROW][C]145[/C][C]92.5[/C][C]91.6136875305552[/C][C]0.886312469444846[/C][/ROW]
[ROW][C]146[/C][C]97.7[/C][C]97.8292840757771[/C][C]-0.129284075777051[/C][/ROW]
[ROW][C]147[/C][C]98.5[/C][C]105.455012324109[/C][C]-6.95501232410872[/C][/ROW]
[ROW][C]148[/C][C]81.2[/C][C]90.5629956042319[/C][C]-9.36299560423194[/C][/ROW]
[ROW][C]149[/C][C]86.2[/C][C]83.8738872510926[/C][C]2.32611274890741[/C][/ROW]
[ROW][C]150[/C][C]92[/C][C]90.8160678090901[/C][C]1.18393219090994[/C][/ROW]
[ROW][C]151[/C][C]86.3[/C][C]84.3873517767356[/C][C]1.91264822326437[/C][/ROW]
[ROW][C]152[/C][C]74.8[/C][C]72.9867422528134[/C][C]1.81325774718664[/C][/ROW]
[ROW][C]153[/C][C]90[/C][C]97.893448616517[/C][C]-7.89344861651703[/C][/ROW]
[ROW][C]154[/C][C]101.1[/C][C]92.7198248605795[/C][C]8.38017513942054[/C][/ROW]
[ROW][C]155[/C][C]87.8[/C][C]88.7970169577811[/C][C]-0.997016957781071[/C][/ROW]
[ROW][C]156[/C][C]66.3[/C][C]75.9244076612396[/C][C]-9.62440766123964[/C][/ROW]
[ROW][C]157[/C][C]88.6[/C][C]82.0642925891702[/C][C]6.5357074108298[/C][/ROW]
[ROW][C]158[/C][C]90[/C][C]89.1807381881484[/C][C]0.819261811851618[/C][/ROW]
[ROW][C]159[/C][C]92[/C][C]94.6131253495392[/C][C]-2.61312534953923[/C][/ROW]
[ROW][C]160[/C][C]85.1[/C][C]81.2843324562561[/C][C]3.81566754374394[/C][/ROW]
[ROW][C]161[/C][C]85.9[/C][C]81.9493420309233[/C][C]3.9506579690767[/C][/ROW]
[ROW][C]162[/C][C]88.5[/C][C]88.9907852413886[/C][C]-0.490785241388636[/C][/ROW]
[ROW][C]163[/C][C]92.3[/C][C]82.4448530468858[/C][C]9.8551469531142[/C][/ROW]
[ROW][C]164[/C][C]68[/C][C]73.5866144232305[/C][C]-5.58661442323054[/C][/ROW]
[ROW][C]165[/C][C]93.6[/C][C]92.8494094687497[/C][C]0.750590531250339[/C][/ROW]
[ROW][C]166[/C][C]97.7[/C][C]94.8307792562873[/C][C]2.86922074371267[/C][/ROW]
[ROW][C]167[/C][C]85.1[/C][C]86.8504348811045[/C][C]-1.7504348811045[/C][/ROW]
[ROW][C]168[/C][C]69.9[/C][C]71.6526300295449[/C][C]-1.75263002954486[/C][/ROW]
[ROW][C]169[/C][C]96.1[/C][C]84.8702389067246[/C][C]11.2297610932754[/C][/ROW]
[ROW][C]170[/C][C]97[/C][C]92.1724387938869[/C][C]4.82756120611307[/C][/ROW]
[ROW][C]171[/C][C]95.9[/C][C]98.3166644906017[/C][C]-2.41666449060165[/C][/ROW]
[ROW][C]172[/C][C]91.3[/C][C]86.430794799123[/C][C]4.86920520087703[/C][/ROW]
[ROW][C]173[/C][C]83.5[/C][C]87.6016896768833[/C][C]-4.10168967688331[/C][/ROW]
[ROW][C]174[/C][C]91.4[/C][C]91.1366497599956[/C][C]0.263350240004414[/C][/ROW]
[ROW][C]175[/C][C]96.8[/C][C]87.5523551821525[/C][C]9.2476448178475[/C][/ROW]
[ROW][C]176[/C][C]71[/C][C]73.968537579839[/C][C]-2.96853757983899[/C][/ROW]
[ROW][C]177[/C][C]106.9[/C][C]96.8050907349538[/C][C]10.0949092650462[/C][/ROW]
[ROW][C]178[/C][C]102.7[/C][C]102.697411440383[/C][C]0.00258855961676829[/C][/ROW]
[ROW][C]179[/C][C]84.9[/C][C]92.0982117498811[/C][C]-7.19821174988107[/C][/ROW]
[ROW][C]180[/C][C]75.8[/C][C]74.618028257997[/C][C]1.18197174200301[/C][/ROW]
[ROW][C]181[/C][C]93.6[/C][C]93.3970680577776[/C][C]0.202931942222406[/C][/ROW]
[ROW][C]182[/C][C]100.7[/C][C]95.6080786782345[/C][C]5.09192132176548[/C][/ROW]
[ROW][C]183[/C][C]100.5[/C][C]100.030961676367[/C][C]0.469038323633427[/C][/ROW]
[ROW][C]184[/C][C]95.9[/C][C]90.8037115183475[/C][C]5.09628848165252[/C][/ROW]
[ROW][C]185[/C][C]85.7[/C][C]89.6098982566279[/C][C]-3.90989825662794[/C][/ROW]
[ROW][C]186[/C][C]104.1[/C][C]94.7282449942034[/C][C]9.37175500579662[/C][/ROW]
[ROW][C]187[/C][C]93.5[/C][C]96.4570955517548[/C][C]-2.95709555175483[/C][/ROW]
[ROW][C]188[/C][C]81.5[/C][C]75.2340776323558[/C][C]6.26592236764422[/C][/ROW]
[ROW][C]189[/C][C]102.1[/C][C]106.497768736827[/C][C]-4.39776873682651[/C][/ROW]
[ROW][C]190[/C][C]98.2[/C][C]105.169755027805[/C][C]-6.96975502780457[/C][/ROW]
[ROW][C]191[/C][C]88.4[/C][C]90.3692066754794[/C][C]-1.96920667547937[/C][/ROW]
[ROW][C]192[/C][C]77.8[/C][C]76.5851960867352[/C][C]1.21480391326484[/C][/ROW]
[ROW][C]193[/C][C]90.1[/C][C]95.578428004854[/C][C]-5.478428004854[/C][/ROW]
[ROW][C]194[/C][C]101[/C][C]97.3413385819431[/C][C]3.65866141805691[/C][/ROW]
[ROW][C]195[/C][C]98.6[/C][C]100.079280718631[/C][C]-1.47928071863087[/C][/ROW]
[ROW][C]196[/C][C]91.5[/C][C]91.5283857332858[/C][C]-0.0283857332858304[/C][/ROW]
[ROW][C]197[/C][C]86.4[/C][C]86.365391809442[/C][C]0.0346081905579894[/C][/ROW]
[ROW][C]198[/C][C]98.9[/C][C]96.1375442663083[/C][C]2.76245573369168[/C][/ROW]
[ROW][C]199[/C][C]85.2[/C][C]92.5387965166694[/C][C]-7.33879651666943[/C][/ROW]
[ROW][C]200[/C][C]77.3[/C][C]73.1728712961857[/C][C]4.12712870381426[/C][/ROW]
[ROW][C]201[/C][C]93[/C][C]99.2782716762278[/C][C]-6.2782716762278[/C][/ROW]
[ROW][C]202[/C][C]86.8[/C][C]96.550195163324[/C][C]-9.75019516332401[/C][/ROW]
[ROW][C]203[/C][C]91.3[/C][C]82.9480702526779[/C][C]8.35192974732213[/C][/ROW]
[ROW][C]204[/C][C]74.9[/C][C]73.7351748858619[/C][C]1.16482511413808[/C][/ROW]
[ROW][C]205[/C][C]93.9[/C][C]90.1262536049099[/C][C]3.77374639509013[/C][/ROW]
[ROW][C]206[/C][C]95[/C][C]97.2092794114297[/C][C]-2.2092794114297[/C][/ROW]
[ROW][C]207[/C][C]103.1[/C][C]96.666994833576[/C][C]6.43300516642395[/C][/ROW]
[ROW][C]208[/C][C]81.4[/C][C]91.0650106951454[/C][C]-9.66501069514538[/C][/ROW]
[ROW][C]209[/C][C]93.1[/C][C]83.0333914115697[/C][C]10.0666085884303[/C][/ROW]
[ROW][C]210[/C][C]97.2[/C][C]96.7085175727804[/C][C]0.491482427219623[/C][/ROW]
[ROW][C]211[/C][C]86.4[/C][C]89.6879153265135[/C][C]-3.28791532651346[/C][/ROW]
[ROW][C]212[/C][C]75.5[/C][C]74.6518285737883[/C][C]0.848171426211664[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309532&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309532&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
13137.7135.2892307773632.41076922263662
14138.8136.7037963731412.09620362685908
15149.5148.2232302610551.27676973894464
16125124.7409033158130.259096684187156
17133.4133.997414820679-0.597414820679035
18134.4136.083372584773-1.68337258477297
19124.8115.258467642639.54153235737019
20110.6111.486719100903-0.886719100903051
21142.4152.482798086183-10.0827980861834
22149.6154.969823505661-5.36982350566072
23134.6146.359491924281-11.7594919242813
24103.3114.802994695311-11.502994695311
25136.5131.3703220279345.12967797206616
26137.1133.398693415373.70130658463032
27140.7144.802084634051-4.10208463405138
28131.4120.09111718125811.3088828187415
29126.2132.428380162777-6.22838016277693
30125.3132.278626802748-6.97862680274771
31126.6113.27062198222313.3293780177773
32107.7108.040498296761-0.340498296761496
33144.5145.475579814855-0.975579814854797
34154.2151.9485719182192.25142808178052
35131.4143.849552688126-12.4495526881264
36105.7111.922846923801-6.22284692380134
37136.2135.0767258615521.12327413844844
38133.3135.423544911569-2.12354491156859
39130142.756122816123-12.7561228161233
40129.3119.7951922996879.50480770031349
41113.1126.551284484151-13.4512844841511
42117.7123.645492619817-5.94549261981685
43116.3110.7578664013695.54213359863144
4497.3100.131968699542-2.8319686995424
45140.6133.378842111517.22115788849047
46141.2142.609022205773-1.40902220577348
47120.8130.004430024629-9.20443002462908
48106.2102.4204873363983.7795126636022
49121.5129.424602041394-7.92460204139431
50122.6125.915274994367-3.3152749943668
51137.2129.3507979726457.84920202735475
52118.9119.120338770381-0.220338770381389
53107.2116.480144753459-9.28014475345883
54127.4116.65018503538510.7498149646145
55111.8112.128233664314-0.328233664313842
5610097.60448539789682.3955146021032
57138.3135.1549402896053.14505971039452
58128140.694753246019-12.6947532460194
59121.2122.795320601112-1.59532060111231
60105.9101.4773126586264.42268734137436
61112.5125.06206757635-12.56206757635
62123.1121.2594184308311.84058156916888
63129129.142429861008-0.142429861007884
64115.5114.6712727263140.828727273686127
65105.7109.952212575944-4.25221257594428
66122.3116.8246438486565.47535615134444
67106.4107.964464388623-1.56446438862334
68101.194.26312460942096.83687539057912
69131.6132.393813956943-0.793813956943211
70119.5132.222841158073-12.7228411580731
71127117.6556021281019.34439787189902
72106.9101.5982312221285.30176877787179
73115.9120.624575600967-4.72457560096714
74122.7123.299408922803-0.599408922803292
75137.2129.9652669904957.23473300950474
76108.5117.819533699682-9.31953369968227
77115.2108.542114152656.65788584735017
78129.4121.8874590628897.51254093711066
79112.3111.4244809293230.8755190706772
80104.3100.3552675897463.94473241025418
81140136.7710827354913.22891726450919
82139.9134.5252212453315.37477875466945
83134.9131.4061503871373.49384961286256
84105.1111.030039173961-5.9300391739615
85127124.5179003320512.48209966794855
86135.5131.082891190024.41710880998002
87143.9142.3275497244081.57245027559219
88115.8122.783020696437-6.98302069643748
89117.5118.549113499381-1.04911349938128
90129.3130.36593286148-1.06593286148004
91117.9115.0220294255822.8779705744178
92108.1105.0873562817943.01264371820643
93131.7142.229019814866-10.529019814866
94143.7136.1855388026727.51446119732833
95126.2133.185809233036-6.98580923303602
9696.9107.314300002768-10.4143000027683
97125.8120.9806451077624.8193548922377
98129.6128.5288138031151.07118619688546
99124.9137.501044841921-12.6010448419215
100136.8112.48084279454524.3191572054546
101107.5119.738438613963-12.2384386139635
102114.3127.754866465988-13.4548664659881
103110.3110.1145712579850.185428742015034
10485.599.8408402388645-14.3408402388645
105116.8123.968946539762-7.16894653976186
106115.1123.313795598628-8.21379559862841
10795.2112.350058351642-17.1500583516416
10883.486.1374900197299-2.73749001972988
10995.4102.632679927894-7.23267992789424
11096.3103.938960951175-7.63896095117524
111100.5104.775899195425-4.27589919542534
11290.993.8358657182507-2.93586571825068
11380.684.7054305854734-4.10543058547337
11494.891.28099356283573.51900643716425
11593.984.44695409229279.45304590770735
11675.975.61986289398580.280137106014166
117101.6100.6486367829450.951363217054507
118103.3101.7092368820391.59076311796112
11991.892.4697954113169-0.669795411316855
12083.576.90233761044646.59766238955362
1219293.9821310340559-1.98213103405588
122101.296.60602426287984.59397573712025
123109.1102.23431353236.86568646770033
12499.895.1442976639944.655702336006
12590.887.8761279586432.92387204135703
126110.699.822435827423910.7775641725761
12797.896.47197274861551.32802725138448
12881.981.74020984933680.159790150663241
129114.4109.2198620023455.18013799765501
130108.8112.23127363739-3.43127363739039
131103.1100.2243844203452.87561557965492
13290.486.64640103813523.75359896186484
13394.4101.895735315708-7.49573531570837
134100.5105.161644255001-4.66164425500133
135115.1108.8486544683926.25134553160822
13693.9100.690147029407-6.79014702940708
137102.589.342283512466413.1577164875336
13897.1107.283402376552-10.1834023765516
13991.294.9547595157744-3.75475951577444
14082.378.83381160809753.46618839190251
141107.1108.024553699393-0.924553699392675
14299.2106.767258124612-7.56725812461178
14394.895.5770193614574-0.777019361457434
14481.181.9109135696494-0.810913569649401
14592.591.61368753055520.886312469444846
14697.797.8292840757771-0.129284075777051
14798.5105.455012324109-6.95501232410872
14881.290.5629956042319-9.36299560423194
14986.283.87388725109262.32611274890741
1509290.81606780909011.18393219090994
15186.384.38735177673561.91264822326437
15274.872.98674225281341.81325774718664
1539097.893448616517-7.89344861651703
154101.192.71982486057958.38017513942054
15587.888.7970169577811-0.997016957781071
15666.375.9244076612396-9.62440766123964
15788.682.06429258917026.5357074108298
1589089.18073818814840.819261811851618
1599294.6131253495392-2.61312534953923
16085.181.28433245625613.81566754374394
16185.981.94934203092333.9506579690767
16288.588.9907852413886-0.490785241388636
16392.382.44485304688589.8551469531142
1646873.5866144232305-5.58661442323054
16593.692.84940946874970.750590531250339
16697.794.83077925628732.86922074371267
16785.186.8504348811045-1.7504348811045
16869.971.6526300295449-1.75263002954486
16996.184.870238906724611.2297610932754
1709792.17243879388694.82756120611307
17195.998.3166644906017-2.41666449060165
17291.386.4307947991234.86920520087703
17383.587.6016896768833-4.10168967688331
17491.491.13664975999560.263350240004414
17596.887.55235518215259.2476448178475
1767173.968537579839-2.96853757983899
177106.996.805090734953810.0949092650462
178102.7102.6974114403830.00258855961676829
17984.992.0982117498811-7.19821174988107
18075.874.6180282579971.18197174200301
18193.693.39706805777760.202931942222406
182100.795.60807867823455.09192132176548
183100.5100.0309616763670.469038323633427
18495.990.80371151834755.09628848165252
18585.789.6098982566279-3.90989825662794
186104.194.72824499420349.37175500579662
18793.596.4570955517548-2.95709555175483
18881.575.23407763235586.26592236764422
189102.1106.497768736827-4.39776873682651
19098.2105.169755027805-6.96975502780457
19188.490.3692066754794-1.96920667547937
19277.876.58519608673521.21480391326484
19390.195.578428004854-5.478428004854
19410197.34133858194313.65866141805691
19598.6100.079280718631-1.47928071863087
19691.591.5283857332858-0.0283857332858304
19786.486.3653918094420.0346081905579894
19898.996.13754426630832.76245573369168
19985.292.5387965166694-7.33879651666943
20077.373.17287129618574.12712870381426
2019399.2782716762278-6.2782716762278
20286.896.550195163324-9.75019516332401
20391.382.94807025267798.35192974732213
20474.973.73517488586191.16482511413808
20593.990.12625360490993.77374639509013
2069597.2092794114297-2.2092794114297
207103.196.6669948335766.43300516642395
20881.491.0650106951454-9.66501069514538
20993.183.033391411569710.0666085884303
21097.296.70851757278040.491482427219623
21186.489.6879153265135-3.28791532651346
21275.574.65182857378830.848171426211664







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21396.690689929716189.2202639655204104.161115893912
21494.9514443976186.4613369447332103.441551850487
21589.114767887026779.860958569139198.3685772049144
21675.168461744285465.684164453922884.652759034648
21792.10087309202180.4992871153559103.702459068686
21896.380442482333583.5649151479153109.195969816752
21998.887764975418585.0127352034106112.762794747426
22086.988900849880373.607864477429100.369937222332
22187.309389757849573.094420223868101.524359291831
22295.059615682453179.0517585051288111.067472859777
22386.998155699026171.3581993333986102.638112064654
22474.23439002172666.69056111279745141.778218930656

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 96.6906899297161 & 89.2202639655204 & 104.161115893912 \tabularnewline
214 & 94.95144439761 & 86.4613369447332 & 103.441551850487 \tabularnewline
215 & 89.1147678870267 & 79.8609585691391 & 98.3685772049144 \tabularnewline
216 & 75.1684617442854 & 65.6841644539228 & 84.652759034648 \tabularnewline
217 & 92.100873092021 & 80.4992871153559 & 103.702459068686 \tabularnewline
218 & 96.3804424823335 & 83.5649151479153 & 109.195969816752 \tabularnewline
219 & 98.8877649754185 & 85.0127352034106 & 112.762794747426 \tabularnewline
220 & 86.9889008498803 & 73.607864477429 & 100.369937222332 \tabularnewline
221 & 87.3093897578495 & 73.094420223868 & 101.524359291831 \tabularnewline
222 & 95.0596156824531 & 79.0517585051288 & 111.067472859777 \tabularnewline
223 & 86.9981556990261 & 71.3581993333986 & 102.638112064654 \tabularnewline
224 & 74.2343900217266 & 6.69056111279745 & 141.778218930656 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309532&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]96.6906899297161[/C][C]89.2202639655204[/C][C]104.161115893912[/C][/ROW]
[ROW][C]214[/C][C]94.95144439761[/C][C]86.4613369447332[/C][C]103.441551850487[/C][/ROW]
[ROW][C]215[/C][C]89.1147678870267[/C][C]79.8609585691391[/C][C]98.3685772049144[/C][/ROW]
[ROW][C]216[/C][C]75.1684617442854[/C][C]65.6841644539228[/C][C]84.652759034648[/C][/ROW]
[ROW][C]217[/C][C]92.100873092021[/C][C]80.4992871153559[/C][C]103.702459068686[/C][/ROW]
[ROW][C]218[/C][C]96.3804424823335[/C][C]83.5649151479153[/C][C]109.195969816752[/C][/ROW]
[ROW][C]219[/C][C]98.8877649754185[/C][C]85.0127352034106[/C][C]112.762794747426[/C][/ROW]
[ROW][C]220[/C][C]86.9889008498803[/C][C]73.607864477429[/C][C]100.369937222332[/C][/ROW]
[ROW][C]221[/C][C]87.3093897578495[/C][C]73.094420223868[/C][C]101.524359291831[/C][/ROW]
[ROW][C]222[/C][C]95.0596156824531[/C][C]79.0517585051288[/C][C]111.067472859777[/C][/ROW]
[ROW][C]223[/C][C]86.9981556990261[/C][C]71.3581993333986[/C][C]102.638112064654[/C][/ROW]
[ROW][C]224[/C][C]74.2343900217266[/C][C]6.69056111279745[/C][C]141.778218930656[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309532&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309532&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
21396.690689929716189.2202639655204104.161115893912
21494.9514443976186.4613369447332103.441551850487
21589.114767887026779.860958569139198.3685772049144
21675.168461744285465.684164453922884.652759034648
21792.10087309202180.4992871153559103.702459068686
21896.380442482333583.5649151479153109.195969816752
21998.887764975418585.0127352034106112.762794747426
22086.988900849880373.607864477429100.369937222332
22187.309389757849573.094420223868101.524359291831
22295.059615682453179.0517585051288111.067472859777
22386.998155699026171.3581993333986102.638112064654
22474.23439002172666.69056111279745141.778218930656



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