Free Statistics

of Irreproducible Research!

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, 21 Dec 2017 11:16:35 +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/21/t1513851423yakgddld71yoydv.htm/, Retrieved Tue, 14 May 2024 14:00:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310601, Retrieved Tue, 14 May 2024 14:00:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Non-durable consu...] [2017-12-21 10:16:35] [a98cfedcb2213d624216c666f97af8d4] [Current]
Feedback Forum

Post a new message
Dataseries X:
50
52.4
57.5
52.5
57.5
57.6
48.3
52
62.1
59.1
62.6
57.9
59.3
61.5
66
61.1
63.8
69.6
57
59.9
63.8
69.8
64.6
60.8
64.7
63.6
68.8
66.4
64.4
65.3
63
61.1
67.7
72.3
65.4
63.2
69.4
62.3
71
68.6
62
68.2
66.8
65.5
76.9
78.1
67.6
80.1
64.7
70.4
84.6
75.1
69.6
81.8
74.2
72.9
84.9
80.5
79.6
90.8
76.5
70.9
82.3
77.8
75.6
81.3
71
75.1
89.2
84.1
82.7
82.4
78.2
78.5
91.5
76.6
80.6
85.9
74.5
79.4
89.7
92.7
89.6
87
80.9
76.2
89.7
79.1
82.4
90.3
85.8
83.5
85.1
90.6
87.7
86
89.7
86.2
91.1
91.3
85.5
92
91.5
80
100.9
97.3
89.1
104
80.2
83.3
97.5
86.8
84.3
93.4
90.2
82.5
93.7
93.9
91.1
96.9
88.2
100.9
109.5
91
89.5
109.6
97.9
94.9
103.5
100
107.1
108
95
102.2
131.4
104.5
105.6
106.1
98
113
113.2
105.4
100.1
100.7
96.1
98.2
123.5
93.9
94.8
103.5
105.3
105.8
112
114.5
108.3
103.8
103
97.7
118.7
115.1
110
117.3
119.1
105.9
114.1
124.6
117.3
115
103.6
113.4
122
122.5
119.6
132.6
113
107.5
139.3
134.6
125.6
124
111.9
101.5
130.2
121.9
111.3
122
116.4
119.1
133
128.9
126.1
122.3
110.2
113.6
131
123.2
120.7
142.8
131.7
131.6
139
128.5
122.7
148.4
118.6
126.3
141
120.9
127
138.5
131.9
136.3




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310601&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310601&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310601&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.144023331130892
beta0.0123945938304853
gamma0.111116914241523

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.144023331130892 \tabularnewline
beta & 0.0123945938304853 \tabularnewline
gamma & 0.111116914241523 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310601&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]0.144023331130892[/C][/ROW]
[ROW][C]beta[/C][C]0.0123945938304853[/C][/ROW]
[ROW][C]gamma[/C][C]0.111116914241523[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310601&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310601&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
alpha0.144023331130892
beta0.0123945938304853
gamma0.111116914241523







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
748.347.08630952380951.21369047619046
85250.57041869814041.42958130185961
962.161.0131731492111.086826850789
1059.154.69183640204294.40816359795707
1162.661.09838536364461.50161463635536
1257.961.6640040100433-3.76400401004326
1359.351.59663655363417.7033634463659
1461.556.05801804418295.44198195581713
156667.0752876799091-1.07528767990905
1661.160.78383674589940.316163254100573
1763.866.3426623427429-2.54266234274289
1869.665.83583207858233.76416792141768
195757.9676896144829-0.967689614482865
2059.960.9739617904453-1.07396179044533
2163.870.4300840952053-6.63008409520529
2269.863.45822352811036.34177647188972
2364.669.6109864318932-5.01098643189317
2460.869.3421395789896-8.54213957898956
2564.759.22318518383995.47681481616009
2663.663.13065952710270.469340472897265
2768.872.2664972573398-3.46649725733981
2866.466.9756192916941-0.575619291694068
2964.471.0315200478913-6.63152004789131
3065.370.1697305174853-4.86973051748534
316361.89594824731531.10405175268467
3261.164.6724263950151-3.57242639501509
3367.772.8196511972226-5.11965119722261
3472.367.53053795995174.76946204004825
3565.471.7546948485465-6.35469484854647
3663.271.0752762594159-7.87527625941593
3769.462.90637901465236.4936209853477
3862.365.9934721929899-3.6934721929899
397173.955073006998-2.95507300699798
4068.669.901132952929-1.30113295292902
416272.1649238902264-10.1649238902264
4268.270.7573126458626-2.55731264586261
4366.864.6956923203482.10430767965201
4465.566.1485467957412-0.648546795741183
4576.974.59120992431852.30879007568153
4678.171.43438784375046.66561215624959
4767.673.9984182890001-6.39841828900012
4880.173.85949017910016.24050982089992
4964.769.5266816236132-4.82668162361324
5070.469.72544287410590.674557125894111
5184.678.64827287179065.95172712820941
5275.176.4453407183874-1.34534071838739
5369.676.6135705905388-7.01357059053878
5481.877.58760961896364.21239038103639
5574.271.90587587716512.29412412283487
5672.973.6619632044976-0.761963204497633
5784.982.8857883643892.01421163561105
5880.579.42064122083091.07935877916914
5979.679.40221631413080.197783685869169
6090.882.49872898165878.30127101834131
6176.577.2468656546202-0.746865654620237
6270.978.2923050772314-7.3923050772314
6382.386.8314227795106-4.53142277951059
6477.882.32911456532-4.52911456532003
6575.681.4035573352405-5.8035573352405
6681.384.3802431200968-3.08024312009677
677176.582014441833-5.58201444183302
6875.176.2438154936489-1.14381549364894
6989.285.91093098878623.28906901121381
7084.182.50509705899861.59490294100139
7182.782.32117804783990.378821952160138
7282.486.4391843445634-4.03918434456335
7378.278.2550714925197-0.0550714925196729
7478.579.1350579853969-0.635057985396926
7591.589.29802585137772.20197414862233
7676.685.5734985935775-8.97349859357752
7780.683.7319634562069-3.13196345620693
7885.986.8980015922023-0.998001592202343
7974.579.5101405501778-5.01014055017778
8079.479.5917792844456-0.191779284445644
8189.790.0596832738616-0.359683273861592
8292.784.8699601992367.83003980076403
8389.686.00081237316793.59918762683211
848790.3479546781871-3.34795467818708
8580.982.244534930892-1.34453493089202
8676.283.3234389353673-7.1234389353673
8789.792.7757198990714-3.07571989907139
8879.187.9675964893181-8.86759648931807
8982.486.2552004294344-3.85520042943442
9090.388.81867517027721.48132482972282
9185.881.56066253780144.23933746219855
9283.582.86341652632840.636583473671635
9385.193.8014607214618-8.7014607214618
9490.687.60531752080012.99468247919991
9587.788.0723920527992-0.372392052799199
968691.6455443743301-5.64554437433006
9789.783.61119463983826.08880536016177
9886.284.82872031441381.3712796855862
9991.194.9767911325952-3.87679113259524
10091.390.58897360488470.711026395115269
10185.590.4038173382127-4.90381733821275
1029292.8116248540046-0.811624854004648
10391.586.58703036183164.91296963816838
1048087.1818720893649-7.18187208936493
105100.995.57902300692675.32097699307334
10697.392.94877685708194.35122314291812
10789.192.7568594994602-3.65685949946025
10810495.73871969662028.26128030337985
10980.291.386756473605-11.186756473605
11083.388.5051747690443-5.20517476904432
11197.598.3724297187852-0.872429718785241
11286.894.7431198543205-7.94311985432051
11384.391.9820748643131-7.68207486431311
11493.495.4738217629843-2.07382176298434
11590.287.72117863810442.47882136189558
11682.587.338669133814-4.83866913381399
11793.797.6334472555075-3.93344725550753
11893.992.84793252898941.05206747101062
11991.191.3804617540312-0.280461754031251
12096.996.45807530400330.441924695996676
12188.289.4917081809137-1.29170818091367
122100.987.854363666412313.0456363335877
123109.5100.8271245552078.67287544479332
1249198.3700344945854-7.37003449458537
12589.595.58643904683-6.08643904682998
126109.699.90979679540779.69020320459229
12797.994.14024657984813.7597534201519
12894.994.63286352467110.267136475328883
129103.5105.365261042419-1.86526104241872
13010099.8616719066860.138328093314044
131107.198.29208188362868.8079181163714
132108106.2982728813841.70172711861564
1339598.8369965338871-3.83699653388707
134102.297.91261478954494.28738521045511
135131.4109.03768426766422.3623157323362
136104.5107.27373080526-2.77373080526014
137105.6106.163863955495-0.563863955495165
138106.1112.18220807961-6.08220807960994
13998103.096963952162-5.0969639521617
140113102.78551440376610.2144855962338
141113.2116.515633437217-3.31563343721746
142105.4108.649080364795-3.24908036479542
143100.1107.666492855489-7.56649285548906
144100.7112.12447825141-11.4244782514102
14596.1102.327048197888-6.22704819788829
14698.2103.270663786644-5.07066378664366
147123.5113.44668050760710.0533194923929
14893.9107.469976332566-13.5699763325655
14994.8104.529948579031-9.72994857903068
150103.5108.245191152852-4.74519115285166
151105.399.85179495316145.44820504683861
152105.8102.5554637631733.24453623682678
153112115.350958221021-3.35095822102087
154114.5105.1563033365569.34369666344379
155108.3105.8819930029112.4180069970888
156103.8111.84300318699-8.04300318699009
157103103.960348526557-0.960348526557311
15897.7105.536171468981-7.83617146898101
159118.7116.0934187199972.60658128000311
160115.1107.9598099669997.14019003300071
161110107.7010718433522.29892815664839
162117.3112.6413912433874.65860875661339
163119.1107.27583729876911.8241627012307
164105.9110.075882690182-4.17588269018232
165114.1122.197015608164-8.09701560816377
166124.6112.9774114697811.6225885302196
167117.3112.9361405528054.36385944719464
168115118.434348352614-3.43434835261417
169103.6112.606366426519-9.00636642651887
170113.4110.8689305729532.5310694270472
171122123.579462151478-1.57946215147831
172122.5117.1821663175755.31783368242547
173119.6115.5392341429374.06076585706251
174132.6120.2483071746912.3516928253104
175113116.188321761297-3.18832176129723
176107.5116.420984020146-8.92098402014588
177139.3127.10554073596812.1944592640317
178134.6123.3869797841611.2130202158398
179125.6122.522994454693.0770055453097
180124127.926672441402-3.92667244140222
181111.9120.062809416642-8.16280941664212
182101.5119.043547630687-17.5435476306873
183130.2130.48899693351-0.288996933509907
184121.9124.85127409532-2.95127409532031
185111.3121.120265512982-9.82026551298165
186122123.924078589312-1.92407858931151
187116.4115.8730841572050.526915842794594
188119.1115.1559850679123.94401493208834
189133131.3185170865841.68148291341589
190128.9125.6961202923223.2038797076781
191126.1122.194000809693.90599919030967
192122.3127.745990084867-5.44599008486742
193110.2119.434833817254-9.23483381725393
194113.6117.633354392489-4.03335439248896
195131132.414048473855-1.4140484738549
196123.2126.46738421195-3.26738421194982
197120.7122.065241660264-1.36524166026402
198142.8125.92434810416716.8756518958326
199131.7120.46330467419411.2366953258061
200131.6122.1371235954789.46287640452243
201139139.16700306145-0.16700306145043
202128.5133.282173275439-4.78217327543879
203122.7128.898589164385-6.19858916438547
204148.4133.84371171411514.5562882858848
205118.6127.555320610819-8.95532061081919
206126.3126.1592946670740.140705332925833
207141140.9209821216310.0790178783686883
208120.9134.62340886397-13.7234088639697
209127128.792185571911-1.79218557191129
210138.5136.3286953173862.17130468261428
211131.9125.9808914907615.91910850923892
212136.3127.579422574628.72057742538048

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
7 & 48.3 & 47.0863095238095 & 1.21369047619046 \tabularnewline
8 & 52 & 50.5704186981404 & 1.42958130185961 \tabularnewline
9 & 62.1 & 61.013173149211 & 1.086826850789 \tabularnewline
10 & 59.1 & 54.6918364020429 & 4.40816359795707 \tabularnewline
11 & 62.6 & 61.0983853636446 & 1.50161463635536 \tabularnewline
12 & 57.9 & 61.6640040100433 & -3.76400401004326 \tabularnewline
13 & 59.3 & 51.5966365536341 & 7.7033634463659 \tabularnewline
14 & 61.5 & 56.0580180441829 & 5.44198195581713 \tabularnewline
15 & 66 & 67.0752876799091 & -1.07528767990905 \tabularnewline
16 & 61.1 & 60.7838367458994 & 0.316163254100573 \tabularnewline
17 & 63.8 & 66.3426623427429 & -2.54266234274289 \tabularnewline
18 & 69.6 & 65.8358320785823 & 3.76416792141768 \tabularnewline
19 & 57 & 57.9676896144829 & -0.967689614482865 \tabularnewline
20 & 59.9 & 60.9739617904453 & -1.07396179044533 \tabularnewline
21 & 63.8 & 70.4300840952053 & -6.63008409520529 \tabularnewline
22 & 69.8 & 63.4582235281103 & 6.34177647188972 \tabularnewline
23 & 64.6 & 69.6109864318932 & -5.01098643189317 \tabularnewline
24 & 60.8 & 69.3421395789896 & -8.54213957898956 \tabularnewline
25 & 64.7 & 59.2231851838399 & 5.47681481616009 \tabularnewline
26 & 63.6 & 63.1306595271027 & 0.469340472897265 \tabularnewline
27 & 68.8 & 72.2664972573398 & -3.46649725733981 \tabularnewline
28 & 66.4 & 66.9756192916941 & -0.575619291694068 \tabularnewline
29 & 64.4 & 71.0315200478913 & -6.63152004789131 \tabularnewline
30 & 65.3 & 70.1697305174853 & -4.86973051748534 \tabularnewline
31 & 63 & 61.8959482473153 & 1.10405175268467 \tabularnewline
32 & 61.1 & 64.6724263950151 & -3.57242639501509 \tabularnewline
33 & 67.7 & 72.8196511972226 & -5.11965119722261 \tabularnewline
34 & 72.3 & 67.5305379599517 & 4.76946204004825 \tabularnewline
35 & 65.4 & 71.7546948485465 & -6.35469484854647 \tabularnewline
36 & 63.2 & 71.0752762594159 & -7.87527625941593 \tabularnewline
37 & 69.4 & 62.9063790146523 & 6.4936209853477 \tabularnewline
38 & 62.3 & 65.9934721929899 & -3.6934721929899 \tabularnewline
39 & 71 & 73.955073006998 & -2.95507300699798 \tabularnewline
40 & 68.6 & 69.901132952929 & -1.30113295292902 \tabularnewline
41 & 62 & 72.1649238902264 & -10.1649238902264 \tabularnewline
42 & 68.2 & 70.7573126458626 & -2.55731264586261 \tabularnewline
43 & 66.8 & 64.695692320348 & 2.10430767965201 \tabularnewline
44 & 65.5 & 66.1485467957412 & -0.648546795741183 \tabularnewline
45 & 76.9 & 74.5912099243185 & 2.30879007568153 \tabularnewline
46 & 78.1 & 71.4343878437504 & 6.66561215624959 \tabularnewline
47 & 67.6 & 73.9984182890001 & -6.39841828900012 \tabularnewline
48 & 80.1 & 73.8594901791001 & 6.24050982089992 \tabularnewline
49 & 64.7 & 69.5266816236132 & -4.82668162361324 \tabularnewline
50 & 70.4 & 69.7254428741059 & 0.674557125894111 \tabularnewline
51 & 84.6 & 78.6482728717906 & 5.95172712820941 \tabularnewline
52 & 75.1 & 76.4453407183874 & -1.34534071838739 \tabularnewline
53 & 69.6 & 76.6135705905388 & -7.01357059053878 \tabularnewline
54 & 81.8 & 77.5876096189636 & 4.21239038103639 \tabularnewline
55 & 74.2 & 71.9058758771651 & 2.29412412283487 \tabularnewline
56 & 72.9 & 73.6619632044976 & -0.761963204497633 \tabularnewline
57 & 84.9 & 82.885788364389 & 2.01421163561105 \tabularnewline
58 & 80.5 & 79.4206412208309 & 1.07935877916914 \tabularnewline
59 & 79.6 & 79.4022163141308 & 0.197783685869169 \tabularnewline
60 & 90.8 & 82.4987289816587 & 8.30127101834131 \tabularnewline
61 & 76.5 & 77.2468656546202 & -0.746865654620237 \tabularnewline
62 & 70.9 & 78.2923050772314 & -7.3923050772314 \tabularnewline
63 & 82.3 & 86.8314227795106 & -4.53142277951059 \tabularnewline
64 & 77.8 & 82.32911456532 & -4.52911456532003 \tabularnewline
65 & 75.6 & 81.4035573352405 & -5.8035573352405 \tabularnewline
66 & 81.3 & 84.3802431200968 & -3.08024312009677 \tabularnewline
67 & 71 & 76.582014441833 & -5.58201444183302 \tabularnewline
68 & 75.1 & 76.2438154936489 & -1.14381549364894 \tabularnewline
69 & 89.2 & 85.9109309887862 & 3.28906901121381 \tabularnewline
70 & 84.1 & 82.5050970589986 & 1.59490294100139 \tabularnewline
71 & 82.7 & 82.3211780478399 & 0.378821952160138 \tabularnewline
72 & 82.4 & 86.4391843445634 & -4.03918434456335 \tabularnewline
73 & 78.2 & 78.2550714925197 & -0.0550714925196729 \tabularnewline
74 & 78.5 & 79.1350579853969 & -0.635057985396926 \tabularnewline
75 & 91.5 & 89.2980258513777 & 2.20197414862233 \tabularnewline
76 & 76.6 & 85.5734985935775 & -8.97349859357752 \tabularnewline
77 & 80.6 & 83.7319634562069 & -3.13196345620693 \tabularnewline
78 & 85.9 & 86.8980015922023 & -0.998001592202343 \tabularnewline
79 & 74.5 & 79.5101405501778 & -5.01014055017778 \tabularnewline
80 & 79.4 & 79.5917792844456 & -0.191779284445644 \tabularnewline
81 & 89.7 & 90.0596832738616 & -0.359683273861592 \tabularnewline
82 & 92.7 & 84.869960199236 & 7.83003980076403 \tabularnewline
83 & 89.6 & 86.0008123731679 & 3.59918762683211 \tabularnewline
84 & 87 & 90.3479546781871 & -3.34795467818708 \tabularnewline
85 & 80.9 & 82.244534930892 & -1.34453493089202 \tabularnewline
86 & 76.2 & 83.3234389353673 & -7.1234389353673 \tabularnewline
87 & 89.7 & 92.7757198990714 & -3.07571989907139 \tabularnewline
88 & 79.1 & 87.9675964893181 & -8.86759648931807 \tabularnewline
89 & 82.4 & 86.2552004294344 & -3.85520042943442 \tabularnewline
90 & 90.3 & 88.8186751702772 & 1.48132482972282 \tabularnewline
91 & 85.8 & 81.5606625378014 & 4.23933746219855 \tabularnewline
92 & 83.5 & 82.8634165263284 & 0.636583473671635 \tabularnewline
93 & 85.1 & 93.8014607214618 & -8.7014607214618 \tabularnewline
94 & 90.6 & 87.6053175208001 & 2.99468247919991 \tabularnewline
95 & 87.7 & 88.0723920527992 & -0.372392052799199 \tabularnewline
96 & 86 & 91.6455443743301 & -5.64554437433006 \tabularnewline
97 & 89.7 & 83.6111946398382 & 6.08880536016177 \tabularnewline
98 & 86.2 & 84.8287203144138 & 1.3712796855862 \tabularnewline
99 & 91.1 & 94.9767911325952 & -3.87679113259524 \tabularnewline
100 & 91.3 & 90.5889736048847 & 0.711026395115269 \tabularnewline
101 & 85.5 & 90.4038173382127 & -4.90381733821275 \tabularnewline
102 & 92 & 92.8116248540046 & -0.811624854004648 \tabularnewline
103 & 91.5 & 86.5870303618316 & 4.91296963816838 \tabularnewline
104 & 80 & 87.1818720893649 & -7.18187208936493 \tabularnewline
105 & 100.9 & 95.5790230069267 & 5.32097699307334 \tabularnewline
106 & 97.3 & 92.9487768570819 & 4.35122314291812 \tabularnewline
107 & 89.1 & 92.7568594994602 & -3.65685949946025 \tabularnewline
108 & 104 & 95.7387196966202 & 8.26128030337985 \tabularnewline
109 & 80.2 & 91.386756473605 & -11.186756473605 \tabularnewline
110 & 83.3 & 88.5051747690443 & -5.20517476904432 \tabularnewline
111 & 97.5 & 98.3724297187852 & -0.872429718785241 \tabularnewline
112 & 86.8 & 94.7431198543205 & -7.94311985432051 \tabularnewline
113 & 84.3 & 91.9820748643131 & -7.68207486431311 \tabularnewline
114 & 93.4 & 95.4738217629843 & -2.07382176298434 \tabularnewline
115 & 90.2 & 87.7211786381044 & 2.47882136189558 \tabularnewline
116 & 82.5 & 87.338669133814 & -4.83866913381399 \tabularnewline
117 & 93.7 & 97.6334472555075 & -3.93344725550753 \tabularnewline
118 & 93.9 & 92.8479325289894 & 1.05206747101062 \tabularnewline
119 & 91.1 & 91.3804617540312 & -0.280461754031251 \tabularnewline
120 & 96.9 & 96.4580753040033 & 0.441924695996676 \tabularnewline
121 & 88.2 & 89.4917081809137 & -1.29170818091367 \tabularnewline
122 & 100.9 & 87.8543636664123 & 13.0456363335877 \tabularnewline
123 & 109.5 & 100.827124555207 & 8.67287544479332 \tabularnewline
124 & 91 & 98.3700344945854 & -7.37003449458537 \tabularnewline
125 & 89.5 & 95.58643904683 & -6.08643904682998 \tabularnewline
126 & 109.6 & 99.9097967954077 & 9.69020320459229 \tabularnewline
127 & 97.9 & 94.1402465798481 & 3.7597534201519 \tabularnewline
128 & 94.9 & 94.6328635246711 & 0.267136475328883 \tabularnewline
129 & 103.5 & 105.365261042419 & -1.86526104241872 \tabularnewline
130 & 100 & 99.861671906686 & 0.138328093314044 \tabularnewline
131 & 107.1 & 98.2920818836286 & 8.8079181163714 \tabularnewline
132 & 108 & 106.298272881384 & 1.70172711861564 \tabularnewline
133 & 95 & 98.8369965338871 & -3.83699653388707 \tabularnewline
134 & 102.2 & 97.9126147895449 & 4.28738521045511 \tabularnewline
135 & 131.4 & 109.037684267664 & 22.3623157323362 \tabularnewline
136 & 104.5 & 107.27373080526 & -2.77373080526014 \tabularnewline
137 & 105.6 & 106.163863955495 & -0.563863955495165 \tabularnewline
138 & 106.1 & 112.18220807961 & -6.08220807960994 \tabularnewline
139 & 98 & 103.096963952162 & -5.0969639521617 \tabularnewline
140 & 113 & 102.785514403766 & 10.2144855962338 \tabularnewline
141 & 113.2 & 116.515633437217 & -3.31563343721746 \tabularnewline
142 & 105.4 & 108.649080364795 & -3.24908036479542 \tabularnewline
143 & 100.1 & 107.666492855489 & -7.56649285548906 \tabularnewline
144 & 100.7 & 112.12447825141 & -11.4244782514102 \tabularnewline
145 & 96.1 & 102.327048197888 & -6.22704819788829 \tabularnewline
146 & 98.2 & 103.270663786644 & -5.07066378664366 \tabularnewline
147 & 123.5 & 113.446680507607 & 10.0533194923929 \tabularnewline
148 & 93.9 & 107.469976332566 & -13.5699763325655 \tabularnewline
149 & 94.8 & 104.529948579031 & -9.72994857903068 \tabularnewline
150 & 103.5 & 108.245191152852 & -4.74519115285166 \tabularnewline
151 & 105.3 & 99.8517949531614 & 5.44820504683861 \tabularnewline
152 & 105.8 & 102.555463763173 & 3.24453623682678 \tabularnewline
153 & 112 & 115.350958221021 & -3.35095822102087 \tabularnewline
154 & 114.5 & 105.156303336556 & 9.34369666344379 \tabularnewline
155 & 108.3 & 105.881993002911 & 2.4180069970888 \tabularnewline
156 & 103.8 & 111.84300318699 & -8.04300318699009 \tabularnewline
157 & 103 & 103.960348526557 & -0.960348526557311 \tabularnewline
158 & 97.7 & 105.536171468981 & -7.83617146898101 \tabularnewline
159 & 118.7 & 116.093418719997 & 2.60658128000311 \tabularnewline
160 & 115.1 & 107.959809966999 & 7.14019003300071 \tabularnewline
161 & 110 & 107.701071843352 & 2.29892815664839 \tabularnewline
162 & 117.3 & 112.641391243387 & 4.65860875661339 \tabularnewline
163 & 119.1 & 107.275837298769 & 11.8241627012307 \tabularnewline
164 & 105.9 & 110.075882690182 & -4.17588269018232 \tabularnewline
165 & 114.1 & 122.197015608164 & -8.09701560816377 \tabularnewline
166 & 124.6 & 112.97741146978 & 11.6225885302196 \tabularnewline
167 & 117.3 & 112.936140552805 & 4.36385944719464 \tabularnewline
168 & 115 & 118.434348352614 & -3.43434835261417 \tabularnewline
169 & 103.6 & 112.606366426519 & -9.00636642651887 \tabularnewline
170 & 113.4 & 110.868930572953 & 2.5310694270472 \tabularnewline
171 & 122 & 123.579462151478 & -1.57946215147831 \tabularnewline
172 & 122.5 & 117.182166317575 & 5.31783368242547 \tabularnewline
173 & 119.6 & 115.539234142937 & 4.06076585706251 \tabularnewline
174 & 132.6 & 120.24830717469 & 12.3516928253104 \tabularnewline
175 & 113 & 116.188321761297 & -3.18832176129723 \tabularnewline
176 & 107.5 & 116.420984020146 & -8.92098402014588 \tabularnewline
177 & 139.3 & 127.105540735968 & 12.1944592640317 \tabularnewline
178 & 134.6 & 123.38697978416 & 11.2130202158398 \tabularnewline
179 & 125.6 & 122.52299445469 & 3.0770055453097 \tabularnewline
180 & 124 & 127.926672441402 & -3.92667244140222 \tabularnewline
181 & 111.9 & 120.062809416642 & -8.16280941664212 \tabularnewline
182 & 101.5 & 119.043547630687 & -17.5435476306873 \tabularnewline
183 & 130.2 & 130.48899693351 & -0.288996933509907 \tabularnewline
184 & 121.9 & 124.85127409532 & -2.95127409532031 \tabularnewline
185 & 111.3 & 121.120265512982 & -9.82026551298165 \tabularnewline
186 & 122 & 123.924078589312 & -1.92407858931151 \tabularnewline
187 & 116.4 & 115.873084157205 & 0.526915842794594 \tabularnewline
188 & 119.1 & 115.155985067912 & 3.94401493208834 \tabularnewline
189 & 133 & 131.318517086584 & 1.68148291341589 \tabularnewline
190 & 128.9 & 125.696120292322 & 3.2038797076781 \tabularnewline
191 & 126.1 & 122.19400080969 & 3.90599919030967 \tabularnewline
192 & 122.3 & 127.745990084867 & -5.44599008486742 \tabularnewline
193 & 110.2 & 119.434833817254 & -9.23483381725393 \tabularnewline
194 & 113.6 & 117.633354392489 & -4.03335439248896 \tabularnewline
195 & 131 & 132.414048473855 & -1.4140484738549 \tabularnewline
196 & 123.2 & 126.46738421195 & -3.26738421194982 \tabularnewline
197 & 120.7 & 122.065241660264 & -1.36524166026402 \tabularnewline
198 & 142.8 & 125.924348104167 & 16.8756518958326 \tabularnewline
199 & 131.7 & 120.463304674194 & 11.2366953258061 \tabularnewline
200 & 131.6 & 122.137123595478 & 9.46287640452243 \tabularnewline
201 & 139 & 139.16700306145 & -0.16700306145043 \tabularnewline
202 & 128.5 & 133.282173275439 & -4.78217327543879 \tabularnewline
203 & 122.7 & 128.898589164385 & -6.19858916438547 \tabularnewline
204 & 148.4 & 133.843711714115 & 14.5562882858848 \tabularnewline
205 & 118.6 & 127.555320610819 & -8.95532061081919 \tabularnewline
206 & 126.3 & 126.159294667074 & 0.140705332925833 \tabularnewline
207 & 141 & 140.920982121631 & 0.0790178783686883 \tabularnewline
208 & 120.9 & 134.62340886397 & -13.7234088639697 \tabularnewline
209 & 127 & 128.792185571911 & -1.79218557191129 \tabularnewline
210 & 138.5 & 136.328695317386 & 2.17130468261428 \tabularnewline
211 & 131.9 & 125.980891490761 & 5.91910850923892 \tabularnewline
212 & 136.3 & 127.57942257462 & 8.72057742538048 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310601&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]7[/C][C]48.3[/C][C]47.0863095238095[/C][C]1.21369047619046[/C][/ROW]
[ROW][C]8[/C][C]52[/C][C]50.5704186981404[/C][C]1.42958130185961[/C][/ROW]
[ROW][C]9[/C][C]62.1[/C][C]61.013173149211[/C][C]1.086826850789[/C][/ROW]
[ROW][C]10[/C][C]59.1[/C][C]54.6918364020429[/C][C]4.40816359795707[/C][/ROW]
[ROW][C]11[/C][C]62.6[/C][C]61.0983853636446[/C][C]1.50161463635536[/C][/ROW]
[ROW][C]12[/C][C]57.9[/C][C]61.6640040100433[/C][C]-3.76400401004326[/C][/ROW]
[ROW][C]13[/C][C]59.3[/C][C]51.5966365536341[/C][C]7.7033634463659[/C][/ROW]
[ROW][C]14[/C][C]61.5[/C][C]56.0580180441829[/C][C]5.44198195581713[/C][/ROW]
[ROW][C]15[/C][C]66[/C][C]67.0752876799091[/C][C]-1.07528767990905[/C][/ROW]
[ROW][C]16[/C][C]61.1[/C][C]60.7838367458994[/C][C]0.316163254100573[/C][/ROW]
[ROW][C]17[/C][C]63.8[/C][C]66.3426623427429[/C][C]-2.54266234274289[/C][/ROW]
[ROW][C]18[/C][C]69.6[/C][C]65.8358320785823[/C][C]3.76416792141768[/C][/ROW]
[ROW][C]19[/C][C]57[/C][C]57.9676896144829[/C][C]-0.967689614482865[/C][/ROW]
[ROW][C]20[/C][C]59.9[/C][C]60.9739617904453[/C][C]-1.07396179044533[/C][/ROW]
[ROW][C]21[/C][C]63.8[/C][C]70.4300840952053[/C][C]-6.63008409520529[/C][/ROW]
[ROW][C]22[/C][C]69.8[/C][C]63.4582235281103[/C][C]6.34177647188972[/C][/ROW]
[ROW][C]23[/C][C]64.6[/C][C]69.6109864318932[/C][C]-5.01098643189317[/C][/ROW]
[ROW][C]24[/C][C]60.8[/C][C]69.3421395789896[/C][C]-8.54213957898956[/C][/ROW]
[ROW][C]25[/C][C]64.7[/C][C]59.2231851838399[/C][C]5.47681481616009[/C][/ROW]
[ROW][C]26[/C][C]63.6[/C][C]63.1306595271027[/C][C]0.469340472897265[/C][/ROW]
[ROW][C]27[/C][C]68.8[/C][C]72.2664972573398[/C][C]-3.46649725733981[/C][/ROW]
[ROW][C]28[/C][C]66.4[/C][C]66.9756192916941[/C][C]-0.575619291694068[/C][/ROW]
[ROW][C]29[/C][C]64.4[/C][C]71.0315200478913[/C][C]-6.63152004789131[/C][/ROW]
[ROW][C]30[/C][C]65.3[/C][C]70.1697305174853[/C][C]-4.86973051748534[/C][/ROW]
[ROW][C]31[/C][C]63[/C][C]61.8959482473153[/C][C]1.10405175268467[/C][/ROW]
[ROW][C]32[/C][C]61.1[/C][C]64.6724263950151[/C][C]-3.57242639501509[/C][/ROW]
[ROW][C]33[/C][C]67.7[/C][C]72.8196511972226[/C][C]-5.11965119722261[/C][/ROW]
[ROW][C]34[/C][C]72.3[/C][C]67.5305379599517[/C][C]4.76946204004825[/C][/ROW]
[ROW][C]35[/C][C]65.4[/C][C]71.7546948485465[/C][C]-6.35469484854647[/C][/ROW]
[ROW][C]36[/C][C]63.2[/C][C]71.0752762594159[/C][C]-7.87527625941593[/C][/ROW]
[ROW][C]37[/C][C]69.4[/C][C]62.9063790146523[/C][C]6.4936209853477[/C][/ROW]
[ROW][C]38[/C][C]62.3[/C][C]65.9934721929899[/C][C]-3.6934721929899[/C][/ROW]
[ROW][C]39[/C][C]71[/C][C]73.955073006998[/C][C]-2.95507300699798[/C][/ROW]
[ROW][C]40[/C][C]68.6[/C][C]69.901132952929[/C][C]-1.30113295292902[/C][/ROW]
[ROW][C]41[/C][C]62[/C][C]72.1649238902264[/C][C]-10.1649238902264[/C][/ROW]
[ROW][C]42[/C][C]68.2[/C][C]70.7573126458626[/C][C]-2.55731264586261[/C][/ROW]
[ROW][C]43[/C][C]66.8[/C][C]64.695692320348[/C][C]2.10430767965201[/C][/ROW]
[ROW][C]44[/C][C]65.5[/C][C]66.1485467957412[/C][C]-0.648546795741183[/C][/ROW]
[ROW][C]45[/C][C]76.9[/C][C]74.5912099243185[/C][C]2.30879007568153[/C][/ROW]
[ROW][C]46[/C][C]78.1[/C][C]71.4343878437504[/C][C]6.66561215624959[/C][/ROW]
[ROW][C]47[/C][C]67.6[/C][C]73.9984182890001[/C][C]-6.39841828900012[/C][/ROW]
[ROW][C]48[/C][C]80.1[/C][C]73.8594901791001[/C][C]6.24050982089992[/C][/ROW]
[ROW][C]49[/C][C]64.7[/C][C]69.5266816236132[/C][C]-4.82668162361324[/C][/ROW]
[ROW][C]50[/C][C]70.4[/C][C]69.7254428741059[/C][C]0.674557125894111[/C][/ROW]
[ROW][C]51[/C][C]84.6[/C][C]78.6482728717906[/C][C]5.95172712820941[/C][/ROW]
[ROW][C]52[/C][C]75.1[/C][C]76.4453407183874[/C][C]-1.34534071838739[/C][/ROW]
[ROW][C]53[/C][C]69.6[/C][C]76.6135705905388[/C][C]-7.01357059053878[/C][/ROW]
[ROW][C]54[/C][C]81.8[/C][C]77.5876096189636[/C][C]4.21239038103639[/C][/ROW]
[ROW][C]55[/C][C]74.2[/C][C]71.9058758771651[/C][C]2.29412412283487[/C][/ROW]
[ROW][C]56[/C][C]72.9[/C][C]73.6619632044976[/C][C]-0.761963204497633[/C][/ROW]
[ROW][C]57[/C][C]84.9[/C][C]82.885788364389[/C][C]2.01421163561105[/C][/ROW]
[ROW][C]58[/C][C]80.5[/C][C]79.4206412208309[/C][C]1.07935877916914[/C][/ROW]
[ROW][C]59[/C][C]79.6[/C][C]79.4022163141308[/C][C]0.197783685869169[/C][/ROW]
[ROW][C]60[/C][C]90.8[/C][C]82.4987289816587[/C][C]8.30127101834131[/C][/ROW]
[ROW][C]61[/C][C]76.5[/C][C]77.2468656546202[/C][C]-0.746865654620237[/C][/ROW]
[ROW][C]62[/C][C]70.9[/C][C]78.2923050772314[/C][C]-7.3923050772314[/C][/ROW]
[ROW][C]63[/C][C]82.3[/C][C]86.8314227795106[/C][C]-4.53142277951059[/C][/ROW]
[ROW][C]64[/C][C]77.8[/C][C]82.32911456532[/C][C]-4.52911456532003[/C][/ROW]
[ROW][C]65[/C][C]75.6[/C][C]81.4035573352405[/C][C]-5.8035573352405[/C][/ROW]
[ROW][C]66[/C][C]81.3[/C][C]84.3802431200968[/C][C]-3.08024312009677[/C][/ROW]
[ROW][C]67[/C][C]71[/C][C]76.582014441833[/C][C]-5.58201444183302[/C][/ROW]
[ROW][C]68[/C][C]75.1[/C][C]76.2438154936489[/C][C]-1.14381549364894[/C][/ROW]
[ROW][C]69[/C][C]89.2[/C][C]85.9109309887862[/C][C]3.28906901121381[/C][/ROW]
[ROW][C]70[/C][C]84.1[/C][C]82.5050970589986[/C][C]1.59490294100139[/C][/ROW]
[ROW][C]71[/C][C]82.7[/C][C]82.3211780478399[/C][C]0.378821952160138[/C][/ROW]
[ROW][C]72[/C][C]82.4[/C][C]86.4391843445634[/C][C]-4.03918434456335[/C][/ROW]
[ROW][C]73[/C][C]78.2[/C][C]78.2550714925197[/C][C]-0.0550714925196729[/C][/ROW]
[ROW][C]74[/C][C]78.5[/C][C]79.1350579853969[/C][C]-0.635057985396926[/C][/ROW]
[ROW][C]75[/C][C]91.5[/C][C]89.2980258513777[/C][C]2.20197414862233[/C][/ROW]
[ROW][C]76[/C][C]76.6[/C][C]85.5734985935775[/C][C]-8.97349859357752[/C][/ROW]
[ROW][C]77[/C][C]80.6[/C][C]83.7319634562069[/C][C]-3.13196345620693[/C][/ROW]
[ROW][C]78[/C][C]85.9[/C][C]86.8980015922023[/C][C]-0.998001592202343[/C][/ROW]
[ROW][C]79[/C][C]74.5[/C][C]79.5101405501778[/C][C]-5.01014055017778[/C][/ROW]
[ROW][C]80[/C][C]79.4[/C][C]79.5917792844456[/C][C]-0.191779284445644[/C][/ROW]
[ROW][C]81[/C][C]89.7[/C][C]90.0596832738616[/C][C]-0.359683273861592[/C][/ROW]
[ROW][C]82[/C][C]92.7[/C][C]84.869960199236[/C][C]7.83003980076403[/C][/ROW]
[ROW][C]83[/C][C]89.6[/C][C]86.0008123731679[/C][C]3.59918762683211[/C][/ROW]
[ROW][C]84[/C][C]87[/C][C]90.3479546781871[/C][C]-3.34795467818708[/C][/ROW]
[ROW][C]85[/C][C]80.9[/C][C]82.244534930892[/C][C]-1.34453493089202[/C][/ROW]
[ROW][C]86[/C][C]76.2[/C][C]83.3234389353673[/C][C]-7.1234389353673[/C][/ROW]
[ROW][C]87[/C][C]89.7[/C][C]92.7757198990714[/C][C]-3.07571989907139[/C][/ROW]
[ROW][C]88[/C][C]79.1[/C][C]87.9675964893181[/C][C]-8.86759648931807[/C][/ROW]
[ROW][C]89[/C][C]82.4[/C][C]86.2552004294344[/C][C]-3.85520042943442[/C][/ROW]
[ROW][C]90[/C][C]90.3[/C][C]88.8186751702772[/C][C]1.48132482972282[/C][/ROW]
[ROW][C]91[/C][C]85.8[/C][C]81.5606625378014[/C][C]4.23933746219855[/C][/ROW]
[ROW][C]92[/C][C]83.5[/C][C]82.8634165263284[/C][C]0.636583473671635[/C][/ROW]
[ROW][C]93[/C][C]85.1[/C][C]93.8014607214618[/C][C]-8.7014607214618[/C][/ROW]
[ROW][C]94[/C][C]90.6[/C][C]87.6053175208001[/C][C]2.99468247919991[/C][/ROW]
[ROW][C]95[/C][C]87.7[/C][C]88.0723920527992[/C][C]-0.372392052799199[/C][/ROW]
[ROW][C]96[/C][C]86[/C][C]91.6455443743301[/C][C]-5.64554437433006[/C][/ROW]
[ROW][C]97[/C][C]89.7[/C][C]83.6111946398382[/C][C]6.08880536016177[/C][/ROW]
[ROW][C]98[/C][C]86.2[/C][C]84.8287203144138[/C][C]1.3712796855862[/C][/ROW]
[ROW][C]99[/C][C]91.1[/C][C]94.9767911325952[/C][C]-3.87679113259524[/C][/ROW]
[ROW][C]100[/C][C]91.3[/C][C]90.5889736048847[/C][C]0.711026395115269[/C][/ROW]
[ROW][C]101[/C][C]85.5[/C][C]90.4038173382127[/C][C]-4.90381733821275[/C][/ROW]
[ROW][C]102[/C][C]92[/C][C]92.8116248540046[/C][C]-0.811624854004648[/C][/ROW]
[ROW][C]103[/C][C]91.5[/C][C]86.5870303618316[/C][C]4.91296963816838[/C][/ROW]
[ROW][C]104[/C][C]80[/C][C]87.1818720893649[/C][C]-7.18187208936493[/C][/ROW]
[ROW][C]105[/C][C]100.9[/C][C]95.5790230069267[/C][C]5.32097699307334[/C][/ROW]
[ROW][C]106[/C][C]97.3[/C][C]92.9487768570819[/C][C]4.35122314291812[/C][/ROW]
[ROW][C]107[/C][C]89.1[/C][C]92.7568594994602[/C][C]-3.65685949946025[/C][/ROW]
[ROW][C]108[/C][C]104[/C][C]95.7387196966202[/C][C]8.26128030337985[/C][/ROW]
[ROW][C]109[/C][C]80.2[/C][C]91.386756473605[/C][C]-11.186756473605[/C][/ROW]
[ROW][C]110[/C][C]83.3[/C][C]88.5051747690443[/C][C]-5.20517476904432[/C][/ROW]
[ROW][C]111[/C][C]97.5[/C][C]98.3724297187852[/C][C]-0.872429718785241[/C][/ROW]
[ROW][C]112[/C][C]86.8[/C][C]94.7431198543205[/C][C]-7.94311985432051[/C][/ROW]
[ROW][C]113[/C][C]84.3[/C][C]91.9820748643131[/C][C]-7.68207486431311[/C][/ROW]
[ROW][C]114[/C][C]93.4[/C][C]95.4738217629843[/C][C]-2.07382176298434[/C][/ROW]
[ROW][C]115[/C][C]90.2[/C][C]87.7211786381044[/C][C]2.47882136189558[/C][/ROW]
[ROW][C]116[/C][C]82.5[/C][C]87.338669133814[/C][C]-4.83866913381399[/C][/ROW]
[ROW][C]117[/C][C]93.7[/C][C]97.6334472555075[/C][C]-3.93344725550753[/C][/ROW]
[ROW][C]118[/C][C]93.9[/C][C]92.8479325289894[/C][C]1.05206747101062[/C][/ROW]
[ROW][C]119[/C][C]91.1[/C][C]91.3804617540312[/C][C]-0.280461754031251[/C][/ROW]
[ROW][C]120[/C][C]96.9[/C][C]96.4580753040033[/C][C]0.441924695996676[/C][/ROW]
[ROW][C]121[/C][C]88.2[/C][C]89.4917081809137[/C][C]-1.29170818091367[/C][/ROW]
[ROW][C]122[/C][C]100.9[/C][C]87.8543636664123[/C][C]13.0456363335877[/C][/ROW]
[ROW][C]123[/C][C]109.5[/C][C]100.827124555207[/C][C]8.67287544479332[/C][/ROW]
[ROW][C]124[/C][C]91[/C][C]98.3700344945854[/C][C]-7.37003449458537[/C][/ROW]
[ROW][C]125[/C][C]89.5[/C][C]95.58643904683[/C][C]-6.08643904682998[/C][/ROW]
[ROW][C]126[/C][C]109.6[/C][C]99.9097967954077[/C][C]9.69020320459229[/C][/ROW]
[ROW][C]127[/C][C]97.9[/C][C]94.1402465798481[/C][C]3.7597534201519[/C][/ROW]
[ROW][C]128[/C][C]94.9[/C][C]94.6328635246711[/C][C]0.267136475328883[/C][/ROW]
[ROW][C]129[/C][C]103.5[/C][C]105.365261042419[/C][C]-1.86526104241872[/C][/ROW]
[ROW][C]130[/C][C]100[/C][C]99.861671906686[/C][C]0.138328093314044[/C][/ROW]
[ROW][C]131[/C][C]107.1[/C][C]98.2920818836286[/C][C]8.8079181163714[/C][/ROW]
[ROW][C]132[/C][C]108[/C][C]106.298272881384[/C][C]1.70172711861564[/C][/ROW]
[ROW][C]133[/C][C]95[/C][C]98.8369965338871[/C][C]-3.83699653388707[/C][/ROW]
[ROW][C]134[/C][C]102.2[/C][C]97.9126147895449[/C][C]4.28738521045511[/C][/ROW]
[ROW][C]135[/C][C]131.4[/C][C]109.037684267664[/C][C]22.3623157323362[/C][/ROW]
[ROW][C]136[/C][C]104.5[/C][C]107.27373080526[/C][C]-2.77373080526014[/C][/ROW]
[ROW][C]137[/C][C]105.6[/C][C]106.163863955495[/C][C]-0.563863955495165[/C][/ROW]
[ROW][C]138[/C][C]106.1[/C][C]112.18220807961[/C][C]-6.08220807960994[/C][/ROW]
[ROW][C]139[/C][C]98[/C][C]103.096963952162[/C][C]-5.0969639521617[/C][/ROW]
[ROW][C]140[/C][C]113[/C][C]102.785514403766[/C][C]10.2144855962338[/C][/ROW]
[ROW][C]141[/C][C]113.2[/C][C]116.515633437217[/C][C]-3.31563343721746[/C][/ROW]
[ROW][C]142[/C][C]105.4[/C][C]108.649080364795[/C][C]-3.24908036479542[/C][/ROW]
[ROW][C]143[/C][C]100.1[/C][C]107.666492855489[/C][C]-7.56649285548906[/C][/ROW]
[ROW][C]144[/C][C]100.7[/C][C]112.12447825141[/C][C]-11.4244782514102[/C][/ROW]
[ROW][C]145[/C][C]96.1[/C][C]102.327048197888[/C][C]-6.22704819788829[/C][/ROW]
[ROW][C]146[/C][C]98.2[/C][C]103.270663786644[/C][C]-5.07066378664366[/C][/ROW]
[ROW][C]147[/C][C]123.5[/C][C]113.446680507607[/C][C]10.0533194923929[/C][/ROW]
[ROW][C]148[/C][C]93.9[/C][C]107.469976332566[/C][C]-13.5699763325655[/C][/ROW]
[ROW][C]149[/C][C]94.8[/C][C]104.529948579031[/C][C]-9.72994857903068[/C][/ROW]
[ROW][C]150[/C][C]103.5[/C][C]108.245191152852[/C][C]-4.74519115285166[/C][/ROW]
[ROW][C]151[/C][C]105.3[/C][C]99.8517949531614[/C][C]5.44820504683861[/C][/ROW]
[ROW][C]152[/C][C]105.8[/C][C]102.555463763173[/C][C]3.24453623682678[/C][/ROW]
[ROW][C]153[/C][C]112[/C][C]115.350958221021[/C][C]-3.35095822102087[/C][/ROW]
[ROW][C]154[/C][C]114.5[/C][C]105.156303336556[/C][C]9.34369666344379[/C][/ROW]
[ROW][C]155[/C][C]108.3[/C][C]105.881993002911[/C][C]2.4180069970888[/C][/ROW]
[ROW][C]156[/C][C]103.8[/C][C]111.84300318699[/C][C]-8.04300318699009[/C][/ROW]
[ROW][C]157[/C][C]103[/C][C]103.960348526557[/C][C]-0.960348526557311[/C][/ROW]
[ROW][C]158[/C][C]97.7[/C][C]105.536171468981[/C][C]-7.83617146898101[/C][/ROW]
[ROW][C]159[/C][C]118.7[/C][C]116.093418719997[/C][C]2.60658128000311[/C][/ROW]
[ROW][C]160[/C][C]115.1[/C][C]107.959809966999[/C][C]7.14019003300071[/C][/ROW]
[ROW][C]161[/C][C]110[/C][C]107.701071843352[/C][C]2.29892815664839[/C][/ROW]
[ROW][C]162[/C][C]117.3[/C][C]112.641391243387[/C][C]4.65860875661339[/C][/ROW]
[ROW][C]163[/C][C]119.1[/C][C]107.275837298769[/C][C]11.8241627012307[/C][/ROW]
[ROW][C]164[/C][C]105.9[/C][C]110.075882690182[/C][C]-4.17588269018232[/C][/ROW]
[ROW][C]165[/C][C]114.1[/C][C]122.197015608164[/C][C]-8.09701560816377[/C][/ROW]
[ROW][C]166[/C][C]124.6[/C][C]112.97741146978[/C][C]11.6225885302196[/C][/ROW]
[ROW][C]167[/C][C]117.3[/C][C]112.936140552805[/C][C]4.36385944719464[/C][/ROW]
[ROW][C]168[/C][C]115[/C][C]118.434348352614[/C][C]-3.43434835261417[/C][/ROW]
[ROW][C]169[/C][C]103.6[/C][C]112.606366426519[/C][C]-9.00636642651887[/C][/ROW]
[ROW][C]170[/C][C]113.4[/C][C]110.868930572953[/C][C]2.5310694270472[/C][/ROW]
[ROW][C]171[/C][C]122[/C][C]123.579462151478[/C][C]-1.57946215147831[/C][/ROW]
[ROW][C]172[/C][C]122.5[/C][C]117.182166317575[/C][C]5.31783368242547[/C][/ROW]
[ROW][C]173[/C][C]119.6[/C][C]115.539234142937[/C][C]4.06076585706251[/C][/ROW]
[ROW][C]174[/C][C]132.6[/C][C]120.24830717469[/C][C]12.3516928253104[/C][/ROW]
[ROW][C]175[/C][C]113[/C][C]116.188321761297[/C][C]-3.18832176129723[/C][/ROW]
[ROW][C]176[/C][C]107.5[/C][C]116.420984020146[/C][C]-8.92098402014588[/C][/ROW]
[ROW][C]177[/C][C]139.3[/C][C]127.105540735968[/C][C]12.1944592640317[/C][/ROW]
[ROW][C]178[/C][C]134.6[/C][C]123.38697978416[/C][C]11.2130202158398[/C][/ROW]
[ROW][C]179[/C][C]125.6[/C][C]122.52299445469[/C][C]3.0770055453097[/C][/ROW]
[ROW][C]180[/C][C]124[/C][C]127.926672441402[/C][C]-3.92667244140222[/C][/ROW]
[ROW][C]181[/C][C]111.9[/C][C]120.062809416642[/C][C]-8.16280941664212[/C][/ROW]
[ROW][C]182[/C][C]101.5[/C][C]119.043547630687[/C][C]-17.5435476306873[/C][/ROW]
[ROW][C]183[/C][C]130.2[/C][C]130.48899693351[/C][C]-0.288996933509907[/C][/ROW]
[ROW][C]184[/C][C]121.9[/C][C]124.85127409532[/C][C]-2.95127409532031[/C][/ROW]
[ROW][C]185[/C][C]111.3[/C][C]121.120265512982[/C][C]-9.82026551298165[/C][/ROW]
[ROW][C]186[/C][C]122[/C][C]123.924078589312[/C][C]-1.92407858931151[/C][/ROW]
[ROW][C]187[/C][C]116.4[/C][C]115.873084157205[/C][C]0.526915842794594[/C][/ROW]
[ROW][C]188[/C][C]119.1[/C][C]115.155985067912[/C][C]3.94401493208834[/C][/ROW]
[ROW][C]189[/C][C]133[/C][C]131.318517086584[/C][C]1.68148291341589[/C][/ROW]
[ROW][C]190[/C][C]128.9[/C][C]125.696120292322[/C][C]3.2038797076781[/C][/ROW]
[ROW][C]191[/C][C]126.1[/C][C]122.19400080969[/C][C]3.90599919030967[/C][/ROW]
[ROW][C]192[/C][C]122.3[/C][C]127.745990084867[/C][C]-5.44599008486742[/C][/ROW]
[ROW][C]193[/C][C]110.2[/C][C]119.434833817254[/C][C]-9.23483381725393[/C][/ROW]
[ROW][C]194[/C][C]113.6[/C][C]117.633354392489[/C][C]-4.03335439248896[/C][/ROW]
[ROW][C]195[/C][C]131[/C][C]132.414048473855[/C][C]-1.4140484738549[/C][/ROW]
[ROW][C]196[/C][C]123.2[/C][C]126.46738421195[/C][C]-3.26738421194982[/C][/ROW]
[ROW][C]197[/C][C]120.7[/C][C]122.065241660264[/C][C]-1.36524166026402[/C][/ROW]
[ROW][C]198[/C][C]142.8[/C][C]125.924348104167[/C][C]16.8756518958326[/C][/ROW]
[ROW][C]199[/C][C]131.7[/C][C]120.463304674194[/C][C]11.2366953258061[/C][/ROW]
[ROW][C]200[/C][C]131.6[/C][C]122.137123595478[/C][C]9.46287640452243[/C][/ROW]
[ROW][C]201[/C][C]139[/C][C]139.16700306145[/C][C]-0.16700306145043[/C][/ROW]
[ROW][C]202[/C][C]128.5[/C][C]133.282173275439[/C][C]-4.78217327543879[/C][/ROW]
[ROW][C]203[/C][C]122.7[/C][C]128.898589164385[/C][C]-6.19858916438547[/C][/ROW]
[ROW][C]204[/C][C]148.4[/C][C]133.843711714115[/C][C]14.5562882858848[/C][/ROW]
[ROW][C]205[/C][C]118.6[/C][C]127.555320610819[/C][C]-8.95532061081919[/C][/ROW]
[ROW][C]206[/C][C]126.3[/C][C]126.159294667074[/C][C]0.140705332925833[/C][/ROW]
[ROW][C]207[/C][C]141[/C][C]140.920982121631[/C][C]0.0790178783686883[/C][/ROW]
[ROW][C]208[/C][C]120.9[/C][C]134.62340886397[/C][C]-13.7234088639697[/C][/ROW]
[ROW][C]209[/C][C]127[/C][C]128.792185571911[/C][C]-1.79218557191129[/C][/ROW]
[ROW][C]210[/C][C]138.5[/C][C]136.328695317386[/C][C]2.17130468261428[/C][/ROW]
[ROW][C]211[/C][C]131.9[/C][C]125.980891490761[/C][C]5.91910850923892[/C][/ROW]
[ROW][C]212[/C][C]136.3[/C][C]127.57942257462[/C][C]8.72057742538048[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310601&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310601&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
748.347.08630952380951.21369047619046
85250.57041869814041.42958130185961
962.161.0131731492111.086826850789
1059.154.69183640204294.40816359795707
1162.661.09838536364461.50161463635536
1257.961.6640040100433-3.76400401004326
1359.351.59663655363417.7033634463659
1461.556.05801804418295.44198195581713
156667.0752876799091-1.07528767990905
1661.160.78383674589940.316163254100573
1763.866.3426623427429-2.54266234274289
1869.665.83583207858233.76416792141768
195757.9676896144829-0.967689614482865
2059.960.9739617904453-1.07396179044533
2163.870.4300840952053-6.63008409520529
2269.863.45822352811036.34177647188972
2364.669.6109864318932-5.01098643189317
2460.869.3421395789896-8.54213957898956
2564.759.22318518383995.47681481616009
2663.663.13065952710270.469340472897265
2768.872.2664972573398-3.46649725733981
2866.466.9756192916941-0.575619291694068
2964.471.0315200478913-6.63152004789131
3065.370.1697305174853-4.86973051748534
316361.89594824731531.10405175268467
3261.164.6724263950151-3.57242639501509
3367.772.8196511972226-5.11965119722261
3472.367.53053795995174.76946204004825
3565.471.7546948485465-6.35469484854647
3663.271.0752762594159-7.87527625941593
3769.462.90637901465236.4936209853477
3862.365.9934721929899-3.6934721929899
397173.955073006998-2.95507300699798
4068.669.901132952929-1.30113295292902
416272.1649238902264-10.1649238902264
4268.270.7573126458626-2.55731264586261
4366.864.6956923203482.10430767965201
4465.566.1485467957412-0.648546795741183
4576.974.59120992431852.30879007568153
4678.171.43438784375046.66561215624959
4767.673.9984182890001-6.39841828900012
4880.173.85949017910016.24050982089992
4964.769.5266816236132-4.82668162361324
5070.469.72544287410590.674557125894111
5184.678.64827287179065.95172712820941
5275.176.4453407183874-1.34534071838739
5369.676.6135705905388-7.01357059053878
5481.877.58760961896364.21239038103639
5574.271.90587587716512.29412412283487
5672.973.6619632044976-0.761963204497633
5784.982.8857883643892.01421163561105
5880.579.42064122083091.07935877916914
5979.679.40221631413080.197783685869169
6090.882.49872898165878.30127101834131
6176.577.2468656546202-0.746865654620237
6270.978.2923050772314-7.3923050772314
6382.386.8314227795106-4.53142277951059
6477.882.32911456532-4.52911456532003
6575.681.4035573352405-5.8035573352405
6681.384.3802431200968-3.08024312009677
677176.582014441833-5.58201444183302
6875.176.2438154936489-1.14381549364894
6989.285.91093098878623.28906901121381
7084.182.50509705899861.59490294100139
7182.782.32117804783990.378821952160138
7282.486.4391843445634-4.03918434456335
7378.278.2550714925197-0.0550714925196729
7478.579.1350579853969-0.635057985396926
7591.589.29802585137772.20197414862233
7676.685.5734985935775-8.97349859357752
7780.683.7319634562069-3.13196345620693
7885.986.8980015922023-0.998001592202343
7974.579.5101405501778-5.01014055017778
8079.479.5917792844456-0.191779284445644
8189.790.0596832738616-0.359683273861592
8292.784.8699601992367.83003980076403
8389.686.00081237316793.59918762683211
848790.3479546781871-3.34795467818708
8580.982.244534930892-1.34453493089202
8676.283.3234389353673-7.1234389353673
8789.792.7757198990714-3.07571989907139
8879.187.9675964893181-8.86759648931807
8982.486.2552004294344-3.85520042943442
9090.388.81867517027721.48132482972282
9185.881.56066253780144.23933746219855
9283.582.86341652632840.636583473671635
9385.193.8014607214618-8.7014607214618
9490.687.60531752080012.99468247919991
9587.788.0723920527992-0.372392052799199
968691.6455443743301-5.64554437433006
9789.783.61119463983826.08880536016177
9886.284.82872031441381.3712796855862
9991.194.9767911325952-3.87679113259524
10091.390.58897360488470.711026395115269
10185.590.4038173382127-4.90381733821275
1029292.8116248540046-0.811624854004648
10391.586.58703036183164.91296963816838
1048087.1818720893649-7.18187208936493
105100.995.57902300692675.32097699307334
10697.392.94877685708194.35122314291812
10789.192.7568594994602-3.65685949946025
10810495.73871969662028.26128030337985
10980.291.386756473605-11.186756473605
11083.388.5051747690443-5.20517476904432
11197.598.3724297187852-0.872429718785241
11286.894.7431198543205-7.94311985432051
11384.391.9820748643131-7.68207486431311
11493.495.4738217629843-2.07382176298434
11590.287.72117863810442.47882136189558
11682.587.338669133814-4.83866913381399
11793.797.6334472555075-3.93344725550753
11893.992.84793252898941.05206747101062
11991.191.3804617540312-0.280461754031251
12096.996.45807530400330.441924695996676
12188.289.4917081809137-1.29170818091367
122100.987.854363666412313.0456363335877
123109.5100.8271245552078.67287544479332
1249198.3700344945854-7.37003449458537
12589.595.58643904683-6.08643904682998
126109.699.90979679540779.69020320459229
12797.994.14024657984813.7597534201519
12894.994.63286352467110.267136475328883
129103.5105.365261042419-1.86526104241872
13010099.8616719066860.138328093314044
131107.198.29208188362868.8079181163714
132108106.2982728813841.70172711861564
1339598.8369965338871-3.83699653388707
134102.297.91261478954494.28738521045511
135131.4109.03768426766422.3623157323362
136104.5107.27373080526-2.77373080526014
137105.6106.163863955495-0.563863955495165
138106.1112.18220807961-6.08220807960994
13998103.096963952162-5.0969639521617
140113102.78551440376610.2144855962338
141113.2116.515633437217-3.31563343721746
142105.4108.649080364795-3.24908036479542
143100.1107.666492855489-7.56649285548906
144100.7112.12447825141-11.4244782514102
14596.1102.327048197888-6.22704819788829
14698.2103.270663786644-5.07066378664366
147123.5113.44668050760710.0533194923929
14893.9107.469976332566-13.5699763325655
14994.8104.529948579031-9.72994857903068
150103.5108.245191152852-4.74519115285166
151105.399.85179495316145.44820504683861
152105.8102.5554637631733.24453623682678
153112115.350958221021-3.35095822102087
154114.5105.1563033365569.34369666344379
155108.3105.8819930029112.4180069970888
156103.8111.84300318699-8.04300318699009
157103103.960348526557-0.960348526557311
15897.7105.536171468981-7.83617146898101
159118.7116.0934187199972.60658128000311
160115.1107.9598099669997.14019003300071
161110107.7010718433522.29892815664839
162117.3112.6413912433874.65860875661339
163119.1107.27583729876911.8241627012307
164105.9110.075882690182-4.17588269018232
165114.1122.197015608164-8.09701560816377
166124.6112.9774114697811.6225885302196
167117.3112.9361405528054.36385944719464
168115118.434348352614-3.43434835261417
169103.6112.606366426519-9.00636642651887
170113.4110.8689305729532.5310694270472
171122123.579462151478-1.57946215147831
172122.5117.1821663175755.31783368242547
173119.6115.5392341429374.06076585706251
174132.6120.2483071746912.3516928253104
175113116.188321761297-3.18832176129723
176107.5116.420984020146-8.92098402014588
177139.3127.10554073596812.1944592640317
178134.6123.3869797841611.2130202158398
179125.6122.522994454693.0770055453097
180124127.926672441402-3.92667244140222
181111.9120.062809416642-8.16280941664212
182101.5119.043547630687-17.5435476306873
183130.2130.48899693351-0.288996933509907
184121.9124.85127409532-2.95127409532031
185111.3121.120265512982-9.82026551298165
186122123.924078589312-1.92407858931151
187116.4115.8730841572050.526915842794594
188119.1115.1559850679123.94401493208834
189133131.3185170865841.68148291341589
190128.9125.6961202923223.2038797076781
191126.1122.194000809693.90599919030967
192122.3127.745990084867-5.44599008486742
193110.2119.434833817254-9.23483381725393
194113.6117.633354392489-4.03335439248896
195131132.414048473855-1.4140484738549
196123.2126.46738421195-3.26738421194982
197120.7122.065241660264-1.36524166026402
198142.8125.92434810416716.8756518958326
199131.7120.46330467419411.2366953258061
200131.6122.1371235954789.46287640452243
201139139.16700306145-0.16700306145043
202128.5133.282173275439-4.78217327543879
203122.7128.898589164385-6.19858916438547
204148.4133.84371171411514.5562882858848
205118.6127.555320610819-8.95532061081919
206126.3126.1592946670740.140705332925833
207141140.9209821216310.0790178783686883
208120.9134.62340886397-13.7234088639697
209127128.792185571911-1.79218557191129
210138.5136.3286953173862.17130468261428
211131.9125.9808914907615.91910850923892
212136.3127.579422574628.72057742538048







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213143.573397960989131.65936746668155.487428455299
214135.953959786633123.913948611268147.993970961997
215133.260858023928121.093115442182145.428600605675
216141.46247515982129.16526821834153.7596821013
217131.184552946984118.756166453768143.6129394402
218132.212618976851119.651355466792144.77388248691
219146.121183233235133.212038126977159.030328339492
220138.501745058878125.458608656413151.544881461342
221135.808643296173122.629851285316148.987435307031
222144.010260432065130.694165397302157.326355466829
223133.73233821923120.277309561306147.187366877153
224134.760404249096121.16482808839148.355980409802

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 143.573397960989 & 131.65936746668 & 155.487428455299 \tabularnewline
214 & 135.953959786633 & 123.913948611268 & 147.993970961997 \tabularnewline
215 & 133.260858023928 & 121.093115442182 & 145.428600605675 \tabularnewline
216 & 141.46247515982 & 129.16526821834 & 153.7596821013 \tabularnewline
217 & 131.184552946984 & 118.756166453768 & 143.6129394402 \tabularnewline
218 & 132.212618976851 & 119.651355466792 & 144.77388248691 \tabularnewline
219 & 146.121183233235 & 133.212038126977 & 159.030328339492 \tabularnewline
220 & 138.501745058878 & 125.458608656413 & 151.544881461342 \tabularnewline
221 & 135.808643296173 & 122.629851285316 & 148.987435307031 \tabularnewline
222 & 144.010260432065 & 130.694165397302 & 157.326355466829 \tabularnewline
223 & 133.73233821923 & 120.277309561306 & 147.187366877153 \tabularnewline
224 & 134.760404249096 & 121.16482808839 & 148.355980409802 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310601&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]143.573397960989[/C][C]131.65936746668[/C][C]155.487428455299[/C][/ROW]
[ROW][C]214[/C][C]135.953959786633[/C][C]123.913948611268[/C][C]147.993970961997[/C][/ROW]
[ROW][C]215[/C][C]133.260858023928[/C][C]121.093115442182[/C][C]145.428600605675[/C][/ROW]
[ROW][C]216[/C][C]141.46247515982[/C][C]129.16526821834[/C][C]153.7596821013[/C][/ROW]
[ROW][C]217[/C][C]131.184552946984[/C][C]118.756166453768[/C][C]143.6129394402[/C][/ROW]
[ROW][C]218[/C][C]132.212618976851[/C][C]119.651355466792[/C][C]144.77388248691[/C][/ROW]
[ROW][C]219[/C][C]146.121183233235[/C][C]133.212038126977[/C][C]159.030328339492[/C][/ROW]
[ROW][C]220[/C][C]138.501745058878[/C][C]125.458608656413[/C][C]151.544881461342[/C][/ROW]
[ROW][C]221[/C][C]135.808643296173[/C][C]122.629851285316[/C][C]148.987435307031[/C][/ROW]
[ROW][C]222[/C][C]144.010260432065[/C][C]130.694165397302[/C][C]157.326355466829[/C][/ROW]
[ROW][C]223[/C][C]133.73233821923[/C][C]120.277309561306[/C][C]147.187366877153[/C][/ROW]
[ROW][C]224[/C][C]134.760404249096[/C][C]121.16482808839[/C][C]148.355980409802[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310601&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310601&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
213143.573397960989131.65936746668155.487428455299
214135.953959786633123.913948611268147.993970961997
215133.260858023928121.093115442182145.428600605675
216141.46247515982129.16526821834153.7596821013
217131.184552946984118.756166453768143.6129394402
218132.212618976851119.651355466792144.77388248691
219146.121183233235133.212038126977159.030328339492
220138.501745058878125.458608656413151.544881461342
221135.808643296173122.629851285316148.987435307031
222144.010260432065130.694165397302157.326355466829
223133.73233821923120.277309561306147.187366877153
224134.760404249096121.16482808839148.355980409802



Parameters (Session):
par1 = 6 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 6 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')