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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 14 Dec 2013 15:48:22 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/14/t1387054137ad0j0p2citl8zi8.htm/, Retrieved Fri, 19 Apr 2024 06:30:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232336, Retrieved Fri, 19 Apr 2024 06:30:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Wekelijkse verkoc...] [2013-12-14 20:48:22] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
221.102
220.892
225.537
219.334
216.126
224.573
213.991
221.865
215.382
213.962
217.009
318.110
219.662
212.650
209.307
210.541
210.609
208.910
207.541
207.699
205.005
205.747
203.644
229.937
214.446
210.194
206.535
216.524
198.243
208.274
207.493
215.525
207.562
213.355
209.048
220.497
214.563
211.571
216.385
211.496
209.683
206.304
213.925
204.829
205.729
200.296
207.960
207.729
208.327
207.794
213.700
213.136
210.354
202.205
220.425
210.038
205.201
197.441
200.021
203.165
201.699
201.003
232.308
211.412
209.661
213.587
193.611
192.543
196.040
191.407
189.726
191.272
187.924
198.213
199.352
199.289
195.475
198.045
197.615
189.015
189.668
189.120
194.168
192.304
185.913
197.599
186.085
190.566
187.054
193.222
189.856
190.608
190.588
186.773
183.510
180.106
180.150
178.412
182.353
203.805
186.054
184.290
187.483
187.111
189.561
184.439
182.985
183.828
184.036
183.214
183.464
173.718
180.210
171.252
172.705
174.006
172.043
169.445
169.449
177.073
170.799
171.648
172.220
165.795
167.466
165.528
162.851
165.864
162.094
162.385
164.293
165.983
159.680
161.739
159.302
167.795
164.242
159.743
160.887
163.844
161.172
159.330
155.570
156.749
155.012
163.419
153.630
154.535
151.543
152.955
150.166
151.416
150.332
152.196
153.422
147.435




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232336&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232336&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232336&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.160527970000357
beta0.0201802328815913
gamma0.982450032543123

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.160527970000357 \tabularnewline
beta & 0.0201802328815913 \tabularnewline
gamma & 0.982450032543123 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232336&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]0.160527970000357[/C][/ROW]
[ROW][C]beta[/C][C]0.0201802328815913[/C][/ROW]
[ROW][C]gamma[/C][C]0.982450032543123[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232336&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232336&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
alpha0.160527970000357
beta0.0201802328815913
gamma0.982450032543123







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13219.662225.005643231255-5.34364323125536
14212.65216.863515542236-4.21351554223588
15209.307212.802140625231-3.49514062523127
16210.541213.251218921266-2.71021892126586
17210.609212.75256432085-2.14356432084949
18208.91213.8228814656-4.91288146560032
19207.541205.059750033962.48124996603994
20207.699212.358846946499-4.65984694649856
21205.005205.327969596647-0.3229695966468
22205.747203.842575388431.90442461157014
23203.644206.569098966719-2.92509896671945
24229.937301.771689649906-71.8346896499065
25214.446196.0856160850518.3603839149498
26210.194193.01693470649917.1770652935008
27206.535193.02805292174513.5069470782553
28216.524196.63266949117419.8913305088261
29198.243200.190327207859-1.94732720785939
30208.274199.0227006854239.2512993145773
31207.493198.7435416379348.74945836206638
32215.525201.1764181877314.3485818122705
33207.562200.9704999707746.59150002922573
34213.355202.59472932046310.7602706795371
35209.048202.9718877010346.07611229896551
36220.497240.769266214798-20.2722662147977
37214.563217.370472469245-2.80747246924489
38211.571209.9444955435671.6265044564332
39216.385204.53580209068511.8491979093148
40211.496213.114857387193-1.61885738719286
41209.683195.61275534166614.0702446583338
42206.304206.384466359582-0.0804663595818056
43213.925204.3284876538069.59651234619398
44204.829211.516746338761-6.68774633876149
45205.729201.7971960713923.93180392860816
46200.296206.34108011961-6.0450801196105
47207.96200.338561127087.62143887292041
48207.729215.919065418292-8.19006541829233
49208.327209.078666938687-0.751666938686526
50207.794205.7910889174672.00291108253319
51213.7208.7840718739524.91592812604753
52213.136205.3174656342577.81853436574329
53210.354202.3169915354098.03700846459097
54202.205200.5885698015131.61643019848697
55220.425206.63041186051813.7945881394819
56210.038201.2872193056658.75078069433508
57205.201202.9248691062222.27613089377766
58197.441199.124933143248-1.68393314324803
59200.021205.153346115387-5.13234611538689
60203.165205.679974126533-2.51497412653299
61201.699205.995886649966-4.2968866499661
62201.003204.526596738722-3.52359673872189
63232.308209.01357196613623.2944280338636
64211.412211.0167794741170.395220525882934
65209.661207.1266580054412.53434199455941
66213.587199.42600959947714.160990400523
67193.611217.529062876608-23.9180628766077
68192.543202.287369876735-9.74436987673525
69196.04195.7842335046520.2557664953477
70191.407188.6729058216652.73409417833514
71189.726192.361583006919-2.63558300691921
72191.272195.265620685059-3.99362068505883
73187.924193.853581433763-5.92958143376319
74198.213192.7098224583195.50317754168077
75199.352219.412894033961-20.0608940339609
76199.289196.8044031790322.48459682096802
77195.475194.9975578541380.477442145862312
78198.045196.1615090114131.88349098858717
79197.615181.59821511225416.0167848877461
80189.015184.3189246059714.69607539402875
81189.668188.2377903456981.4302096543023
82189.12183.5429913003735.57700869962733
83194.168183.30035484520410.8676451547959
84192.304187.2410454713235.06295452867678
85185.913185.7908419822250.122158017774552
86197.599195.0352602823552.56373971764535
87186.085199.983466563189-13.8984665631888
88190.566197.087192637914-6.5211926379142
89187.054192.330955151892-5.2769551518918
90193.222193.7513571032-0.529357103200113
91189.856190.406106401272-0.550106401271677
92190.608181.4374073021129.1705926978876
93190.588183.3751867890127.21281321098769
94186.773183.0801250023693.69287499763104
95183.51186.750931288447-3.2409312884472
96180.106183.698784525325-3.5927845253255
97180.15177.026953800993.12304619900968
98178.412188.206336228083-9.79433622808344
99182.353177.8803058310314.47269416896896
100203.805183.73733445425620.0676655457439
101186.054184.3784301340841.67556986591558
102184.29190.847307564702-6.55730756470234
103187.483186.6507554385950.832244561405247
104187.111185.9559568710351.15504312896513
105189.561185.0316973411324.52930265886783
106184.439181.5399495152082.89905048479162
107182.985179.4596880323673.52531196763306
108183.828177.3087086337066.51929136629442
109184.036177.8954542611586.14054573884164
110183.214178.9481692201014.26583077989901
111183.464182.8146967497170.649303250282912
112173.718200.862526821542-27.1445268215415
113180.21179.3499790110830.860020988917455
114171.252178.871837420648-7.61983742064777
115172.705180.466900289916-7.7619002899161
116174.006178.626305705945-4.62030570594484
117172.043179.382672657325-7.33967265732522
118169.445172.847003493486-3.40200349348621
119169.449170.254278016436-0.805278016435921
120177.073169.7072123475197.36578765248106
121170.799169.99125445920.807745540799601
122171.648168.56812356933.0798764306999
123172.22169.069000081613.15099991838991
124165.795164.3500630073291.44493699267133
125167.466170.119461580437-2.65346158043667
126165.528162.3987944286183.12920557138162
127162.851165.375573201117-2.52457320111745
128165.864166.826728827109-0.962728827109117
129162.094165.899390589023-3.80539058902266
130162.385163.244264750013-0.859264750013267
131164.293163.1964058853061.09659411469417
132165.983169.432635978091-3.44963597809127
133159.68162.825708680868-3.1457086808679
134161.739162.569585593032-0.830585593031572
135159.302162.426237779147-3.12423777914714
136167.795155.60103982907212.1939601709275
137164.242159.5590476298854.68295237011461
138159.743157.8690171006441.87398289935618
139160.887156.051777439384.83522256062008
140163.844159.8611407736513.98285922634946
141161.172157.4979359828653.67406401713524
142159.33158.5164307576040.813569242395801
143155.57160.37076052971-4.80076052971037
144156.749161.875066482293-5.12606648229277
145155.012155.447071631257-0.435071631257244
146163.419157.5181189160795.90088108392149
147153.63156.662293324453-3.03229332445255
148154.535162.308225325139-7.77322532513901
149151.543157.005013826379-5.46201382637884
150152.955151.5545520644221.400447935578
151150.166152.021111587712-1.85511158771214
152151.416153.835171162053-2.41917116205261
153150.332150.2878056922510.0441943077489668
154152.196148.3842113463433.81178865365655
155153.422146.1632072551097.25879274489114
156147.435149.154112072822-1.71911207282201

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 219.662 & 225.005643231255 & -5.34364323125536 \tabularnewline
14 & 212.65 & 216.863515542236 & -4.21351554223588 \tabularnewline
15 & 209.307 & 212.802140625231 & -3.49514062523127 \tabularnewline
16 & 210.541 & 213.251218921266 & -2.71021892126586 \tabularnewline
17 & 210.609 & 212.75256432085 & -2.14356432084949 \tabularnewline
18 & 208.91 & 213.8228814656 & -4.91288146560032 \tabularnewline
19 & 207.541 & 205.05975003396 & 2.48124996603994 \tabularnewline
20 & 207.699 & 212.358846946499 & -4.65984694649856 \tabularnewline
21 & 205.005 & 205.327969596647 & -0.3229695966468 \tabularnewline
22 & 205.747 & 203.84257538843 & 1.90442461157014 \tabularnewline
23 & 203.644 & 206.569098966719 & -2.92509896671945 \tabularnewline
24 & 229.937 & 301.771689649906 & -71.8346896499065 \tabularnewline
25 & 214.446 & 196.08561608505 & 18.3603839149498 \tabularnewline
26 & 210.194 & 193.016934706499 & 17.1770652935008 \tabularnewline
27 & 206.535 & 193.028052921745 & 13.5069470782553 \tabularnewline
28 & 216.524 & 196.632669491174 & 19.8913305088261 \tabularnewline
29 & 198.243 & 200.190327207859 & -1.94732720785939 \tabularnewline
30 & 208.274 & 199.022700685423 & 9.2512993145773 \tabularnewline
31 & 207.493 & 198.743541637934 & 8.74945836206638 \tabularnewline
32 & 215.525 & 201.17641818773 & 14.3485818122705 \tabularnewline
33 & 207.562 & 200.970499970774 & 6.59150002922573 \tabularnewline
34 & 213.355 & 202.594729320463 & 10.7602706795371 \tabularnewline
35 & 209.048 & 202.971887701034 & 6.07611229896551 \tabularnewline
36 & 220.497 & 240.769266214798 & -20.2722662147977 \tabularnewline
37 & 214.563 & 217.370472469245 & -2.80747246924489 \tabularnewline
38 & 211.571 & 209.944495543567 & 1.6265044564332 \tabularnewline
39 & 216.385 & 204.535802090685 & 11.8491979093148 \tabularnewline
40 & 211.496 & 213.114857387193 & -1.61885738719286 \tabularnewline
41 & 209.683 & 195.612755341666 & 14.0702446583338 \tabularnewline
42 & 206.304 & 206.384466359582 & -0.0804663595818056 \tabularnewline
43 & 213.925 & 204.328487653806 & 9.59651234619398 \tabularnewline
44 & 204.829 & 211.516746338761 & -6.68774633876149 \tabularnewline
45 & 205.729 & 201.797196071392 & 3.93180392860816 \tabularnewline
46 & 200.296 & 206.34108011961 & -6.0450801196105 \tabularnewline
47 & 207.96 & 200.33856112708 & 7.62143887292041 \tabularnewline
48 & 207.729 & 215.919065418292 & -8.19006541829233 \tabularnewline
49 & 208.327 & 209.078666938687 & -0.751666938686526 \tabularnewline
50 & 207.794 & 205.791088917467 & 2.00291108253319 \tabularnewline
51 & 213.7 & 208.784071873952 & 4.91592812604753 \tabularnewline
52 & 213.136 & 205.317465634257 & 7.81853436574329 \tabularnewline
53 & 210.354 & 202.316991535409 & 8.03700846459097 \tabularnewline
54 & 202.205 & 200.588569801513 & 1.61643019848697 \tabularnewline
55 & 220.425 & 206.630411860518 & 13.7945881394819 \tabularnewline
56 & 210.038 & 201.287219305665 & 8.75078069433508 \tabularnewline
57 & 205.201 & 202.924869106222 & 2.27613089377766 \tabularnewline
58 & 197.441 & 199.124933143248 & -1.68393314324803 \tabularnewline
59 & 200.021 & 205.153346115387 & -5.13234611538689 \tabularnewline
60 & 203.165 & 205.679974126533 & -2.51497412653299 \tabularnewline
61 & 201.699 & 205.995886649966 & -4.2968866499661 \tabularnewline
62 & 201.003 & 204.526596738722 & -3.52359673872189 \tabularnewline
63 & 232.308 & 209.013571966136 & 23.2944280338636 \tabularnewline
64 & 211.412 & 211.016779474117 & 0.395220525882934 \tabularnewline
65 & 209.661 & 207.126658005441 & 2.53434199455941 \tabularnewline
66 & 213.587 & 199.426009599477 & 14.160990400523 \tabularnewline
67 & 193.611 & 217.529062876608 & -23.9180628766077 \tabularnewline
68 & 192.543 & 202.287369876735 & -9.74436987673525 \tabularnewline
69 & 196.04 & 195.784233504652 & 0.2557664953477 \tabularnewline
70 & 191.407 & 188.672905821665 & 2.73409417833514 \tabularnewline
71 & 189.726 & 192.361583006919 & -2.63558300691921 \tabularnewline
72 & 191.272 & 195.265620685059 & -3.99362068505883 \tabularnewline
73 & 187.924 & 193.853581433763 & -5.92958143376319 \tabularnewline
74 & 198.213 & 192.709822458319 & 5.50317754168077 \tabularnewline
75 & 199.352 & 219.412894033961 & -20.0608940339609 \tabularnewline
76 & 199.289 & 196.804403179032 & 2.48459682096802 \tabularnewline
77 & 195.475 & 194.997557854138 & 0.477442145862312 \tabularnewline
78 & 198.045 & 196.161509011413 & 1.88349098858717 \tabularnewline
79 & 197.615 & 181.598215112254 & 16.0167848877461 \tabularnewline
80 & 189.015 & 184.318924605971 & 4.69607539402875 \tabularnewline
81 & 189.668 & 188.237790345698 & 1.4302096543023 \tabularnewline
82 & 189.12 & 183.542991300373 & 5.57700869962733 \tabularnewline
83 & 194.168 & 183.300354845204 & 10.8676451547959 \tabularnewline
84 & 192.304 & 187.241045471323 & 5.06295452867678 \tabularnewline
85 & 185.913 & 185.790841982225 & 0.122158017774552 \tabularnewline
86 & 197.599 & 195.035260282355 & 2.56373971764535 \tabularnewline
87 & 186.085 & 199.983466563189 & -13.8984665631888 \tabularnewline
88 & 190.566 & 197.087192637914 & -6.5211926379142 \tabularnewline
89 & 187.054 & 192.330955151892 & -5.2769551518918 \tabularnewline
90 & 193.222 & 193.7513571032 & -0.529357103200113 \tabularnewline
91 & 189.856 & 190.406106401272 & -0.550106401271677 \tabularnewline
92 & 190.608 & 181.437407302112 & 9.1705926978876 \tabularnewline
93 & 190.588 & 183.375186789012 & 7.21281321098769 \tabularnewline
94 & 186.773 & 183.080125002369 & 3.69287499763104 \tabularnewline
95 & 183.51 & 186.750931288447 & -3.2409312884472 \tabularnewline
96 & 180.106 & 183.698784525325 & -3.5927845253255 \tabularnewline
97 & 180.15 & 177.02695380099 & 3.12304619900968 \tabularnewline
98 & 178.412 & 188.206336228083 & -9.79433622808344 \tabularnewline
99 & 182.353 & 177.880305831031 & 4.47269416896896 \tabularnewline
100 & 203.805 & 183.737334454256 & 20.0676655457439 \tabularnewline
101 & 186.054 & 184.378430134084 & 1.67556986591558 \tabularnewline
102 & 184.29 & 190.847307564702 & -6.55730756470234 \tabularnewline
103 & 187.483 & 186.650755438595 & 0.832244561405247 \tabularnewline
104 & 187.111 & 185.955956871035 & 1.15504312896513 \tabularnewline
105 & 189.561 & 185.031697341132 & 4.52930265886783 \tabularnewline
106 & 184.439 & 181.539949515208 & 2.89905048479162 \tabularnewline
107 & 182.985 & 179.459688032367 & 3.52531196763306 \tabularnewline
108 & 183.828 & 177.308708633706 & 6.51929136629442 \tabularnewline
109 & 184.036 & 177.895454261158 & 6.14054573884164 \tabularnewline
110 & 183.214 & 178.948169220101 & 4.26583077989901 \tabularnewline
111 & 183.464 & 182.814696749717 & 0.649303250282912 \tabularnewline
112 & 173.718 & 200.862526821542 & -27.1445268215415 \tabularnewline
113 & 180.21 & 179.349979011083 & 0.860020988917455 \tabularnewline
114 & 171.252 & 178.871837420648 & -7.61983742064777 \tabularnewline
115 & 172.705 & 180.466900289916 & -7.7619002899161 \tabularnewline
116 & 174.006 & 178.626305705945 & -4.62030570594484 \tabularnewline
117 & 172.043 & 179.382672657325 & -7.33967265732522 \tabularnewline
118 & 169.445 & 172.847003493486 & -3.40200349348621 \tabularnewline
119 & 169.449 & 170.254278016436 & -0.805278016435921 \tabularnewline
120 & 177.073 & 169.707212347519 & 7.36578765248106 \tabularnewline
121 & 170.799 & 169.9912544592 & 0.807745540799601 \tabularnewline
122 & 171.648 & 168.5681235693 & 3.0798764306999 \tabularnewline
123 & 172.22 & 169.06900008161 & 3.15099991838991 \tabularnewline
124 & 165.795 & 164.350063007329 & 1.44493699267133 \tabularnewline
125 & 167.466 & 170.119461580437 & -2.65346158043667 \tabularnewline
126 & 165.528 & 162.398794428618 & 3.12920557138162 \tabularnewline
127 & 162.851 & 165.375573201117 & -2.52457320111745 \tabularnewline
128 & 165.864 & 166.826728827109 & -0.962728827109117 \tabularnewline
129 & 162.094 & 165.899390589023 & -3.80539058902266 \tabularnewline
130 & 162.385 & 163.244264750013 & -0.859264750013267 \tabularnewline
131 & 164.293 & 163.196405885306 & 1.09659411469417 \tabularnewline
132 & 165.983 & 169.432635978091 & -3.44963597809127 \tabularnewline
133 & 159.68 & 162.825708680868 & -3.1457086808679 \tabularnewline
134 & 161.739 & 162.569585593032 & -0.830585593031572 \tabularnewline
135 & 159.302 & 162.426237779147 & -3.12423777914714 \tabularnewline
136 & 167.795 & 155.601039829072 & 12.1939601709275 \tabularnewline
137 & 164.242 & 159.559047629885 & 4.68295237011461 \tabularnewline
138 & 159.743 & 157.869017100644 & 1.87398289935618 \tabularnewline
139 & 160.887 & 156.05177743938 & 4.83522256062008 \tabularnewline
140 & 163.844 & 159.861140773651 & 3.98285922634946 \tabularnewline
141 & 161.172 & 157.497935982865 & 3.67406401713524 \tabularnewline
142 & 159.33 & 158.516430757604 & 0.813569242395801 \tabularnewline
143 & 155.57 & 160.37076052971 & -4.80076052971037 \tabularnewline
144 & 156.749 & 161.875066482293 & -5.12606648229277 \tabularnewline
145 & 155.012 & 155.447071631257 & -0.435071631257244 \tabularnewline
146 & 163.419 & 157.518118916079 & 5.90088108392149 \tabularnewline
147 & 153.63 & 156.662293324453 & -3.03229332445255 \tabularnewline
148 & 154.535 & 162.308225325139 & -7.77322532513901 \tabularnewline
149 & 151.543 & 157.005013826379 & -5.46201382637884 \tabularnewline
150 & 152.955 & 151.554552064422 & 1.400447935578 \tabularnewline
151 & 150.166 & 152.021111587712 & -1.85511158771214 \tabularnewline
152 & 151.416 & 153.835171162053 & -2.41917116205261 \tabularnewline
153 & 150.332 & 150.287805692251 & 0.0441943077489668 \tabularnewline
154 & 152.196 & 148.384211346343 & 3.81178865365655 \tabularnewline
155 & 153.422 & 146.163207255109 & 7.25879274489114 \tabularnewline
156 & 147.435 & 149.154112072822 & -1.71911207282201 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232336&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]219.662[/C][C]225.005643231255[/C][C]-5.34364323125536[/C][/ROW]
[ROW][C]14[/C][C]212.65[/C][C]216.863515542236[/C][C]-4.21351554223588[/C][/ROW]
[ROW][C]15[/C][C]209.307[/C][C]212.802140625231[/C][C]-3.49514062523127[/C][/ROW]
[ROW][C]16[/C][C]210.541[/C][C]213.251218921266[/C][C]-2.71021892126586[/C][/ROW]
[ROW][C]17[/C][C]210.609[/C][C]212.75256432085[/C][C]-2.14356432084949[/C][/ROW]
[ROW][C]18[/C][C]208.91[/C][C]213.8228814656[/C][C]-4.91288146560032[/C][/ROW]
[ROW][C]19[/C][C]207.541[/C][C]205.05975003396[/C][C]2.48124996603994[/C][/ROW]
[ROW][C]20[/C][C]207.699[/C][C]212.358846946499[/C][C]-4.65984694649856[/C][/ROW]
[ROW][C]21[/C][C]205.005[/C][C]205.327969596647[/C][C]-0.3229695966468[/C][/ROW]
[ROW][C]22[/C][C]205.747[/C][C]203.84257538843[/C][C]1.90442461157014[/C][/ROW]
[ROW][C]23[/C][C]203.644[/C][C]206.569098966719[/C][C]-2.92509896671945[/C][/ROW]
[ROW][C]24[/C][C]229.937[/C][C]301.771689649906[/C][C]-71.8346896499065[/C][/ROW]
[ROW][C]25[/C][C]214.446[/C][C]196.08561608505[/C][C]18.3603839149498[/C][/ROW]
[ROW][C]26[/C][C]210.194[/C][C]193.016934706499[/C][C]17.1770652935008[/C][/ROW]
[ROW][C]27[/C][C]206.535[/C][C]193.028052921745[/C][C]13.5069470782553[/C][/ROW]
[ROW][C]28[/C][C]216.524[/C][C]196.632669491174[/C][C]19.8913305088261[/C][/ROW]
[ROW][C]29[/C][C]198.243[/C][C]200.190327207859[/C][C]-1.94732720785939[/C][/ROW]
[ROW][C]30[/C][C]208.274[/C][C]199.022700685423[/C][C]9.2512993145773[/C][/ROW]
[ROW][C]31[/C][C]207.493[/C][C]198.743541637934[/C][C]8.74945836206638[/C][/ROW]
[ROW][C]32[/C][C]215.525[/C][C]201.17641818773[/C][C]14.3485818122705[/C][/ROW]
[ROW][C]33[/C][C]207.562[/C][C]200.970499970774[/C][C]6.59150002922573[/C][/ROW]
[ROW][C]34[/C][C]213.355[/C][C]202.594729320463[/C][C]10.7602706795371[/C][/ROW]
[ROW][C]35[/C][C]209.048[/C][C]202.971887701034[/C][C]6.07611229896551[/C][/ROW]
[ROW][C]36[/C][C]220.497[/C][C]240.769266214798[/C][C]-20.2722662147977[/C][/ROW]
[ROW][C]37[/C][C]214.563[/C][C]217.370472469245[/C][C]-2.80747246924489[/C][/ROW]
[ROW][C]38[/C][C]211.571[/C][C]209.944495543567[/C][C]1.6265044564332[/C][/ROW]
[ROW][C]39[/C][C]216.385[/C][C]204.535802090685[/C][C]11.8491979093148[/C][/ROW]
[ROW][C]40[/C][C]211.496[/C][C]213.114857387193[/C][C]-1.61885738719286[/C][/ROW]
[ROW][C]41[/C][C]209.683[/C][C]195.612755341666[/C][C]14.0702446583338[/C][/ROW]
[ROW][C]42[/C][C]206.304[/C][C]206.384466359582[/C][C]-0.0804663595818056[/C][/ROW]
[ROW][C]43[/C][C]213.925[/C][C]204.328487653806[/C][C]9.59651234619398[/C][/ROW]
[ROW][C]44[/C][C]204.829[/C][C]211.516746338761[/C][C]-6.68774633876149[/C][/ROW]
[ROW][C]45[/C][C]205.729[/C][C]201.797196071392[/C][C]3.93180392860816[/C][/ROW]
[ROW][C]46[/C][C]200.296[/C][C]206.34108011961[/C][C]-6.0450801196105[/C][/ROW]
[ROW][C]47[/C][C]207.96[/C][C]200.33856112708[/C][C]7.62143887292041[/C][/ROW]
[ROW][C]48[/C][C]207.729[/C][C]215.919065418292[/C][C]-8.19006541829233[/C][/ROW]
[ROW][C]49[/C][C]208.327[/C][C]209.078666938687[/C][C]-0.751666938686526[/C][/ROW]
[ROW][C]50[/C][C]207.794[/C][C]205.791088917467[/C][C]2.00291108253319[/C][/ROW]
[ROW][C]51[/C][C]213.7[/C][C]208.784071873952[/C][C]4.91592812604753[/C][/ROW]
[ROW][C]52[/C][C]213.136[/C][C]205.317465634257[/C][C]7.81853436574329[/C][/ROW]
[ROW][C]53[/C][C]210.354[/C][C]202.316991535409[/C][C]8.03700846459097[/C][/ROW]
[ROW][C]54[/C][C]202.205[/C][C]200.588569801513[/C][C]1.61643019848697[/C][/ROW]
[ROW][C]55[/C][C]220.425[/C][C]206.630411860518[/C][C]13.7945881394819[/C][/ROW]
[ROW][C]56[/C][C]210.038[/C][C]201.287219305665[/C][C]8.75078069433508[/C][/ROW]
[ROW][C]57[/C][C]205.201[/C][C]202.924869106222[/C][C]2.27613089377766[/C][/ROW]
[ROW][C]58[/C][C]197.441[/C][C]199.124933143248[/C][C]-1.68393314324803[/C][/ROW]
[ROW][C]59[/C][C]200.021[/C][C]205.153346115387[/C][C]-5.13234611538689[/C][/ROW]
[ROW][C]60[/C][C]203.165[/C][C]205.679974126533[/C][C]-2.51497412653299[/C][/ROW]
[ROW][C]61[/C][C]201.699[/C][C]205.995886649966[/C][C]-4.2968866499661[/C][/ROW]
[ROW][C]62[/C][C]201.003[/C][C]204.526596738722[/C][C]-3.52359673872189[/C][/ROW]
[ROW][C]63[/C][C]232.308[/C][C]209.013571966136[/C][C]23.2944280338636[/C][/ROW]
[ROW][C]64[/C][C]211.412[/C][C]211.016779474117[/C][C]0.395220525882934[/C][/ROW]
[ROW][C]65[/C][C]209.661[/C][C]207.126658005441[/C][C]2.53434199455941[/C][/ROW]
[ROW][C]66[/C][C]213.587[/C][C]199.426009599477[/C][C]14.160990400523[/C][/ROW]
[ROW][C]67[/C][C]193.611[/C][C]217.529062876608[/C][C]-23.9180628766077[/C][/ROW]
[ROW][C]68[/C][C]192.543[/C][C]202.287369876735[/C][C]-9.74436987673525[/C][/ROW]
[ROW][C]69[/C][C]196.04[/C][C]195.784233504652[/C][C]0.2557664953477[/C][/ROW]
[ROW][C]70[/C][C]191.407[/C][C]188.672905821665[/C][C]2.73409417833514[/C][/ROW]
[ROW][C]71[/C][C]189.726[/C][C]192.361583006919[/C][C]-2.63558300691921[/C][/ROW]
[ROW][C]72[/C][C]191.272[/C][C]195.265620685059[/C][C]-3.99362068505883[/C][/ROW]
[ROW][C]73[/C][C]187.924[/C][C]193.853581433763[/C][C]-5.92958143376319[/C][/ROW]
[ROW][C]74[/C][C]198.213[/C][C]192.709822458319[/C][C]5.50317754168077[/C][/ROW]
[ROW][C]75[/C][C]199.352[/C][C]219.412894033961[/C][C]-20.0608940339609[/C][/ROW]
[ROW][C]76[/C][C]199.289[/C][C]196.804403179032[/C][C]2.48459682096802[/C][/ROW]
[ROW][C]77[/C][C]195.475[/C][C]194.997557854138[/C][C]0.477442145862312[/C][/ROW]
[ROW][C]78[/C][C]198.045[/C][C]196.161509011413[/C][C]1.88349098858717[/C][/ROW]
[ROW][C]79[/C][C]197.615[/C][C]181.598215112254[/C][C]16.0167848877461[/C][/ROW]
[ROW][C]80[/C][C]189.015[/C][C]184.318924605971[/C][C]4.69607539402875[/C][/ROW]
[ROW][C]81[/C][C]189.668[/C][C]188.237790345698[/C][C]1.4302096543023[/C][/ROW]
[ROW][C]82[/C][C]189.12[/C][C]183.542991300373[/C][C]5.57700869962733[/C][/ROW]
[ROW][C]83[/C][C]194.168[/C][C]183.300354845204[/C][C]10.8676451547959[/C][/ROW]
[ROW][C]84[/C][C]192.304[/C][C]187.241045471323[/C][C]5.06295452867678[/C][/ROW]
[ROW][C]85[/C][C]185.913[/C][C]185.790841982225[/C][C]0.122158017774552[/C][/ROW]
[ROW][C]86[/C][C]197.599[/C][C]195.035260282355[/C][C]2.56373971764535[/C][/ROW]
[ROW][C]87[/C][C]186.085[/C][C]199.983466563189[/C][C]-13.8984665631888[/C][/ROW]
[ROW][C]88[/C][C]190.566[/C][C]197.087192637914[/C][C]-6.5211926379142[/C][/ROW]
[ROW][C]89[/C][C]187.054[/C][C]192.330955151892[/C][C]-5.2769551518918[/C][/ROW]
[ROW][C]90[/C][C]193.222[/C][C]193.7513571032[/C][C]-0.529357103200113[/C][/ROW]
[ROW][C]91[/C][C]189.856[/C][C]190.406106401272[/C][C]-0.550106401271677[/C][/ROW]
[ROW][C]92[/C][C]190.608[/C][C]181.437407302112[/C][C]9.1705926978876[/C][/ROW]
[ROW][C]93[/C][C]190.588[/C][C]183.375186789012[/C][C]7.21281321098769[/C][/ROW]
[ROW][C]94[/C][C]186.773[/C][C]183.080125002369[/C][C]3.69287499763104[/C][/ROW]
[ROW][C]95[/C][C]183.51[/C][C]186.750931288447[/C][C]-3.2409312884472[/C][/ROW]
[ROW][C]96[/C][C]180.106[/C][C]183.698784525325[/C][C]-3.5927845253255[/C][/ROW]
[ROW][C]97[/C][C]180.15[/C][C]177.02695380099[/C][C]3.12304619900968[/C][/ROW]
[ROW][C]98[/C][C]178.412[/C][C]188.206336228083[/C][C]-9.79433622808344[/C][/ROW]
[ROW][C]99[/C][C]182.353[/C][C]177.880305831031[/C][C]4.47269416896896[/C][/ROW]
[ROW][C]100[/C][C]203.805[/C][C]183.737334454256[/C][C]20.0676655457439[/C][/ROW]
[ROW][C]101[/C][C]186.054[/C][C]184.378430134084[/C][C]1.67556986591558[/C][/ROW]
[ROW][C]102[/C][C]184.29[/C][C]190.847307564702[/C][C]-6.55730756470234[/C][/ROW]
[ROW][C]103[/C][C]187.483[/C][C]186.650755438595[/C][C]0.832244561405247[/C][/ROW]
[ROW][C]104[/C][C]187.111[/C][C]185.955956871035[/C][C]1.15504312896513[/C][/ROW]
[ROW][C]105[/C][C]189.561[/C][C]185.031697341132[/C][C]4.52930265886783[/C][/ROW]
[ROW][C]106[/C][C]184.439[/C][C]181.539949515208[/C][C]2.89905048479162[/C][/ROW]
[ROW][C]107[/C][C]182.985[/C][C]179.459688032367[/C][C]3.52531196763306[/C][/ROW]
[ROW][C]108[/C][C]183.828[/C][C]177.308708633706[/C][C]6.51929136629442[/C][/ROW]
[ROW][C]109[/C][C]184.036[/C][C]177.895454261158[/C][C]6.14054573884164[/C][/ROW]
[ROW][C]110[/C][C]183.214[/C][C]178.948169220101[/C][C]4.26583077989901[/C][/ROW]
[ROW][C]111[/C][C]183.464[/C][C]182.814696749717[/C][C]0.649303250282912[/C][/ROW]
[ROW][C]112[/C][C]173.718[/C][C]200.862526821542[/C][C]-27.1445268215415[/C][/ROW]
[ROW][C]113[/C][C]180.21[/C][C]179.349979011083[/C][C]0.860020988917455[/C][/ROW]
[ROW][C]114[/C][C]171.252[/C][C]178.871837420648[/C][C]-7.61983742064777[/C][/ROW]
[ROW][C]115[/C][C]172.705[/C][C]180.466900289916[/C][C]-7.7619002899161[/C][/ROW]
[ROW][C]116[/C][C]174.006[/C][C]178.626305705945[/C][C]-4.62030570594484[/C][/ROW]
[ROW][C]117[/C][C]172.043[/C][C]179.382672657325[/C][C]-7.33967265732522[/C][/ROW]
[ROW][C]118[/C][C]169.445[/C][C]172.847003493486[/C][C]-3.40200349348621[/C][/ROW]
[ROW][C]119[/C][C]169.449[/C][C]170.254278016436[/C][C]-0.805278016435921[/C][/ROW]
[ROW][C]120[/C][C]177.073[/C][C]169.707212347519[/C][C]7.36578765248106[/C][/ROW]
[ROW][C]121[/C][C]170.799[/C][C]169.9912544592[/C][C]0.807745540799601[/C][/ROW]
[ROW][C]122[/C][C]171.648[/C][C]168.5681235693[/C][C]3.0798764306999[/C][/ROW]
[ROW][C]123[/C][C]172.22[/C][C]169.06900008161[/C][C]3.15099991838991[/C][/ROW]
[ROW][C]124[/C][C]165.795[/C][C]164.350063007329[/C][C]1.44493699267133[/C][/ROW]
[ROW][C]125[/C][C]167.466[/C][C]170.119461580437[/C][C]-2.65346158043667[/C][/ROW]
[ROW][C]126[/C][C]165.528[/C][C]162.398794428618[/C][C]3.12920557138162[/C][/ROW]
[ROW][C]127[/C][C]162.851[/C][C]165.375573201117[/C][C]-2.52457320111745[/C][/ROW]
[ROW][C]128[/C][C]165.864[/C][C]166.826728827109[/C][C]-0.962728827109117[/C][/ROW]
[ROW][C]129[/C][C]162.094[/C][C]165.899390589023[/C][C]-3.80539058902266[/C][/ROW]
[ROW][C]130[/C][C]162.385[/C][C]163.244264750013[/C][C]-0.859264750013267[/C][/ROW]
[ROW][C]131[/C][C]164.293[/C][C]163.196405885306[/C][C]1.09659411469417[/C][/ROW]
[ROW][C]132[/C][C]165.983[/C][C]169.432635978091[/C][C]-3.44963597809127[/C][/ROW]
[ROW][C]133[/C][C]159.68[/C][C]162.825708680868[/C][C]-3.1457086808679[/C][/ROW]
[ROW][C]134[/C][C]161.739[/C][C]162.569585593032[/C][C]-0.830585593031572[/C][/ROW]
[ROW][C]135[/C][C]159.302[/C][C]162.426237779147[/C][C]-3.12423777914714[/C][/ROW]
[ROW][C]136[/C][C]167.795[/C][C]155.601039829072[/C][C]12.1939601709275[/C][/ROW]
[ROW][C]137[/C][C]164.242[/C][C]159.559047629885[/C][C]4.68295237011461[/C][/ROW]
[ROW][C]138[/C][C]159.743[/C][C]157.869017100644[/C][C]1.87398289935618[/C][/ROW]
[ROW][C]139[/C][C]160.887[/C][C]156.05177743938[/C][C]4.83522256062008[/C][/ROW]
[ROW][C]140[/C][C]163.844[/C][C]159.861140773651[/C][C]3.98285922634946[/C][/ROW]
[ROW][C]141[/C][C]161.172[/C][C]157.497935982865[/C][C]3.67406401713524[/C][/ROW]
[ROW][C]142[/C][C]159.33[/C][C]158.516430757604[/C][C]0.813569242395801[/C][/ROW]
[ROW][C]143[/C][C]155.57[/C][C]160.37076052971[/C][C]-4.80076052971037[/C][/ROW]
[ROW][C]144[/C][C]156.749[/C][C]161.875066482293[/C][C]-5.12606648229277[/C][/ROW]
[ROW][C]145[/C][C]155.012[/C][C]155.447071631257[/C][C]-0.435071631257244[/C][/ROW]
[ROW][C]146[/C][C]163.419[/C][C]157.518118916079[/C][C]5.90088108392149[/C][/ROW]
[ROW][C]147[/C][C]153.63[/C][C]156.662293324453[/C][C]-3.03229332445255[/C][/ROW]
[ROW][C]148[/C][C]154.535[/C][C]162.308225325139[/C][C]-7.77322532513901[/C][/ROW]
[ROW][C]149[/C][C]151.543[/C][C]157.005013826379[/C][C]-5.46201382637884[/C][/ROW]
[ROW][C]150[/C][C]152.955[/C][C]151.554552064422[/C][C]1.400447935578[/C][/ROW]
[ROW][C]151[/C][C]150.166[/C][C]152.021111587712[/C][C]-1.85511158771214[/C][/ROW]
[ROW][C]152[/C][C]151.416[/C][C]153.835171162053[/C][C]-2.41917116205261[/C][/ROW]
[ROW][C]153[/C][C]150.332[/C][C]150.287805692251[/C][C]0.0441943077489668[/C][/ROW]
[ROW][C]154[/C][C]152.196[/C][C]148.384211346343[/C][C]3.81178865365655[/C][/ROW]
[ROW][C]155[/C][C]153.422[/C][C]146.163207255109[/C][C]7.25879274489114[/C][/ROW]
[ROW][C]156[/C][C]147.435[/C][C]149.154112072822[/C][C]-1.71911207282201[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232336&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232336&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
13219.662225.005643231255-5.34364323125536
14212.65216.863515542236-4.21351554223588
15209.307212.802140625231-3.49514062523127
16210.541213.251218921266-2.71021892126586
17210.609212.75256432085-2.14356432084949
18208.91213.8228814656-4.91288146560032
19207.541205.059750033962.48124996603994
20207.699212.358846946499-4.65984694649856
21205.005205.327969596647-0.3229695966468
22205.747203.842575388431.90442461157014
23203.644206.569098966719-2.92509896671945
24229.937301.771689649906-71.8346896499065
25214.446196.0856160850518.3603839149498
26210.194193.01693470649917.1770652935008
27206.535193.02805292174513.5069470782553
28216.524196.63266949117419.8913305088261
29198.243200.190327207859-1.94732720785939
30208.274199.0227006854239.2512993145773
31207.493198.7435416379348.74945836206638
32215.525201.1764181877314.3485818122705
33207.562200.9704999707746.59150002922573
34213.355202.59472932046310.7602706795371
35209.048202.9718877010346.07611229896551
36220.497240.769266214798-20.2722662147977
37214.563217.370472469245-2.80747246924489
38211.571209.9444955435671.6265044564332
39216.385204.53580209068511.8491979093148
40211.496213.114857387193-1.61885738719286
41209.683195.61275534166614.0702446583338
42206.304206.384466359582-0.0804663595818056
43213.925204.3284876538069.59651234619398
44204.829211.516746338761-6.68774633876149
45205.729201.7971960713923.93180392860816
46200.296206.34108011961-6.0450801196105
47207.96200.338561127087.62143887292041
48207.729215.919065418292-8.19006541829233
49208.327209.078666938687-0.751666938686526
50207.794205.7910889174672.00291108253319
51213.7208.7840718739524.91592812604753
52213.136205.3174656342577.81853436574329
53210.354202.3169915354098.03700846459097
54202.205200.5885698015131.61643019848697
55220.425206.63041186051813.7945881394819
56210.038201.2872193056658.75078069433508
57205.201202.9248691062222.27613089377766
58197.441199.124933143248-1.68393314324803
59200.021205.153346115387-5.13234611538689
60203.165205.679974126533-2.51497412653299
61201.699205.995886649966-4.2968866499661
62201.003204.526596738722-3.52359673872189
63232.308209.01357196613623.2944280338636
64211.412211.0167794741170.395220525882934
65209.661207.1266580054412.53434199455941
66213.587199.42600959947714.160990400523
67193.611217.529062876608-23.9180628766077
68192.543202.287369876735-9.74436987673525
69196.04195.7842335046520.2557664953477
70191.407188.6729058216652.73409417833514
71189.726192.361583006919-2.63558300691921
72191.272195.265620685059-3.99362068505883
73187.924193.853581433763-5.92958143376319
74198.213192.7098224583195.50317754168077
75199.352219.412894033961-20.0608940339609
76199.289196.8044031790322.48459682096802
77195.475194.9975578541380.477442145862312
78198.045196.1615090114131.88349098858717
79197.615181.59821511225416.0167848877461
80189.015184.3189246059714.69607539402875
81189.668188.2377903456981.4302096543023
82189.12183.5429913003735.57700869962733
83194.168183.30035484520410.8676451547959
84192.304187.2410454713235.06295452867678
85185.913185.7908419822250.122158017774552
86197.599195.0352602823552.56373971764535
87186.085199.983466563189-13.8984665631888
88190.566197.087192637914-6.5211926379142
89187.054192.330955151892-5.2769551518918
90193.222193.7513571032-0.529357103200113
91189.856190.406106401272-0.550106401271677
92190.608181.4374073021129.1705926978876
93190.588183.3751867890127.21281321098769
94186.773183.0801250023693.69287499763104
95183.51186.750931288447-3.2409312884472
96180.106183.698784525325-3.5927845253255
97180.15177.026953800993.12304619900968
98178.412188.206336228083-9.79433622808344
99182.353177.8803058310314.47269416896896
100203.805183.73733445425620.0676655457439
101186.054184.3784301340841.67556986591558
102184.29190.847307564702-6.55730756470234
103187.483186.6507554385950.832244561405247
104187.111185.9559568710351.15504312896513
105189.561185.0316973411324.52930265886783
106184.439181.5399495152082.89905048479162
107182.985179.4596880323673.52531196763306
108183.828177.3087086337066.51929136629442
109184.036177.8954542611586.14054573884164
110183.214178.9481692201014.26583077989901
111183.464182.8146967497170.649303250282912
112173.718200.862526821542-27.1445268215415
113180.21179.3499790110830.860020988917455
114171.252178.871837420648-7.61983742064777
115172.705180.466900289916-7.7619002899161
116174.006178.626305705945-4.62030570594484
117172.043179.382672657325-7.33967265732522
118169.445172.847003493486-3.40200349348621
119169.449170.254278016436-0.805278016435921
120177.073169.7072123475197.36578765248106
121170.799169.99125445920.807745540799601
122171.648168.56812356933.0798764306999
123172.22169.069000081613.15099991838991
124165.795164.3500630073291.44493699267133
125167.466170.119461580437-2.65346158043667
126165.528162.3987944286183.12920557138162
127162.851165.375573201117-2.52457320111745
128165.864166.826728827109-0.962728827109117
129162.094165.899390589023-3.80539058902266
130162.385163.244264750013-0.859264750013267
131164.293163.1964058853061.09659411469417
132165.983169.432635978091-3.44963597809127
133159.68162.825708680868-3.1457086808679
134161.739162.569585593032-0.830585593031572
135159.302162.426237779147-3.12423777914714
136167.795155.60103982907212.1939601709275
137164.242159.5590476298854.68295237011461
138159.743157.8690171006441.87398289935618
139160.887156.051777439384.83522256062008
140163.844159.8611407736513.98285922634946
141161.172157.4979359828653.67406401713524
142159.33158.5164307576040.813569242395801
143155.57160.37076052971-4.80076052971037
144156.749161.875066482293-5.12606648229277
145155.012155.447071631257-0.435071631257244
146163.419157.5181189160795.90088108392149
147153.63156.662293324453-3.03229332445255
148154.535162.308225325139-7.77322532513901
149151.543157.005013826379-5.46201382637884
150152.955151.5545520644221.400447935578
151150.166152.021111587712-1.85511158771214
152151.416153.835171162053-2.41917116205261
153150.332150.2878056922510.0441943077489668
154152.196148.3842113463433.81178865365655
155153.422146.1632072551097.25879274489114
156147.435149.154112072822-1.71911207282201







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
157147.187988127158128.269132247869166.106844006447
158154.112312783035134.906755584044173.317869982026
159145.390762001922125.974334242513164.807189761331
160147.39507463543127.679108123808167.111041147052
161145.298419961124125.324171739629165.272668182619
162146.333025276046126.043909404608166.622141147484
163143.982663362113123.438995186763164.526331537463
164145.55346317504124.655945951097166.450980398983
165144.47600565042123.286949905837165.665061395004
166145.619541497194124.059829809241167.179253185146
167145.575081635763123.674951740091167.475211531435
168140.239845526496106.252335267171174.227355785821

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
157 & 147.187988127158 & 128.269132247869 & 166.106844006447 \tabularnewline
158 & 154.112312783035 & 134.906755584044 & 173.317869982026 \tabularnewline
159 & 145.390762001922 & 125.974334242513 & 164.807189761331 \tabularnewline
160 & 147.39507463543 & 127.679108123808 & 167.111041147052 \tabularnewline
161 & 145.298419961124 & 125.324171739629 & 165.272668182619 \tabularnewline
162 & 146.333025276046 & 126.043909404608 & 166.622141147484 \tabularnewline
163 & 143.982663362113 & 123.438995186763 & 164.526331537463 \tabularnewline
164 & 145.55346317504 & 124.655945951097 & 166.450980398983 \tabularnewline
165 & 144.47600565042 & 123.286949905837 & 165.665061395004 \tabularnewline
166 & 145.619541497194 & 124.059829809241 & 167.179253185146 \tabularnewline
167 & 145.575081635763 & 123.674951740091 & 167.475211531435 \tabularnewline
168 & 140.239845526496 & 106.252335267171 & 174.227355785821 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232336&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]157[/C][C]147.187988127158[/C][C]128.269132247869[/C][C]166.106844006447[/C][/ROW]
[ROW][C]158[/C][C]154.112312783035[/C][C]134.906755584044[/C][C]173.317869982026[/C][/ROW]
[ROW][C]159[/C][C]145.390762001922[/C][C]125.974334242513[/C][C]164.807189761331[/C][/ROW]
[ROW][C]160[/C][C]147.39507463543[/C][C]127.679108123808[/C][C]167.111041147052[/C][/ROW]
[ROW][C]161[/C][C]145.298419961124[/C][C]125.324171739629[/C][C]165.272668182619[/C][/ROW]
[ROW][C]162[/C][C]146.333025276046[/C][C]126.043909404608[/C][C]166.622141147484[/C][/ROW]
[ROW][C]163[/C][C]143.982663362113[/C][C]123.438995186763[/C][C]164.526331537463[/C][/ROW]
[ROW][C]164[/C][C]145.55346317504[/C][C]124.655945951097[/C][C]166.450980398983[/C][/ROW]
[ROW][C]165[/C][C]144.47600565042[/C][C]123.286949905837[/C][C]165.665061395004[/C][/ROW]
[ROW][C]166[/C][C]145.619541497194[/C][C]124.059829809241[/C][C]167.179253185146[/C][/ROW]
[ROW][C]167[/C][C]145.575081635763[/C][C]123.674951740091[/C][C]167.475211531435[/C][/ROW]
[ROW][C]168[/C][C]140.239845526496[/C][C]106.252335267171[/C][C]174.227355785821[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232336&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232336&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
157147.187988127158128.269132247869166.106844006447
158154.112312783035134.906755584044173.317869982026
159145.390762001922125.974334242513164.807189761331
160147.39507463543127.679108123808167.111041147052
161145.298419961124125.324171739629165.272668182619
162146.333025276046126.043909404608166.622141147484
163143.982663362113123.438995186763164.526331537463
164145.55346317504124.655945951097166.450980398983
165144.47600565042123.286949905837165.665061395004
166145.619541497194124.059829809241167.179253185146
167145.575081635763123.674951740091167.475211531435
168140.239845526496106.252335267171174.227355785821



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