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 computationTue, 20 Jan 2015 12:47:38 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Jan/20/t1421758067wmqo1nrqf5zjea2.htm/, Retrieved Wed, 15 May 2024 16:20:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=275137, Retrieved Wed, 15 May 2024 16:20:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact51
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [kj] [2015-01-20 12:47:38] [a4db37450d58660d7913ff50f679bb50] [Current]
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Dataseries X:
1775
2197
2920
4240
5415
6136
6719
6234
7152
3646
2165
2803
1615
2350
3350
3536
5834
6767
5993
7276
5641
3477
2247
2466
1567
2237
2598
3729
5715
5776
5852
6878
5488
3583
2054
2282
1552
2261
2446
3519
5161
5085
5711
6057
5224
3363
1899
2115
1491
2061
2419
3430
4778
4862
6176
5664
5529
3418
1941
2402
1579
2146
2462
3695
4831
5134
6250
5760
6249
2917
1741
2359
1511
2059
2635
2867
4403
5720
4502
5749
5627
2846
1762
2429
1169
2154
2249
2687
4359
5382
4459
6398
4596
3024
1887
2070
1351
2218
2461
3028
4784
4975
4607
6249
4809
3157
1910
2228
1594
2467
2222
3607
4685
4962
5770
5480
5000
3228
1993
2288
1588
2105
2191
3591
4668
4885
5822
5599
5340
3082
2010
2301




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=275137&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=275137&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=275137&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0246174747338219
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0246174747338219 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=275137&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.0246174747338219[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=275137&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=275137&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
alpha1
beta0.0246174747338219
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
329202619301
442403349.40985989488890.59014010512
554154691.33394016711723.666059832891
661365884.14877111077251.851228889231
767196611.34871237463107.651287625367
862347196.99881522781-962.998815227813
971526688.29221622524463.707783774757
1036467617.70753087619-3971.70753087619
1121654013.93412108472-1848.93412108472
1228032487.41803207441315.581967925586
1316153133.18686319627-1518.18686319627
1423501907.81293645032442.187063549682
1533502653.69846531487696.301534685125
1635363670.83965075211-134.839650752107
1758343853.52023905661980.4797609434
1867676200.27464953247566.72535046753
1959937147.22599652862-1154.22599652862
2072766344.81186722196931.188132778043
2156417650.73536755306-2009.73536755306
2234775966.26075792065-2489.26075792065
2322473740.98144410664-1493.98144410664
2424662474.20339365355-8.20339365354948
2515672693.00144681755-1126.00144681755
2622371766.28213465027470.717865349726
2725982447.87001980728150.129980192721
2837292812.56584080146916.434159198538
2957153966.126135560741748.87386443926
3057765995.17899373122-219.178993731219
3158526050.78336039086-198.783360390856
3268786121.88981603893756.11018396107
3354887166.50333938858-1678.50333938858
3435835735.18282584054-2152.18282584054
3520543777.20151950285-1723.20151950285
3622822205.780649635276.2193503647968
3715522435.65697756704-883.656977567037
3822611683.90357424841577.096425751585
3924462407.1102309283338.8897690716667
4035192593.06759883586925.932401164141
4151613688.861716326741472.13828367326
4250855367.10204332976-282.102043329763
4357115284.15740340573426.842596594267
4460575920.66519024271136.334809757289
4552246270.02140897725-1046.02140897725
4633635411.27100337072-2048.27100337072
4718993499.84774369722-1600.84774369722
4821151996.43891481406118.561085185944
4914912215.35758933304-724.357589333036
5020611573.52573467938487.474265320622
5124192155.5261200893263.473879910704
5234302520.01218167102909.987818328979
5347783553.413783796821224.58621620318
5448624931.56000403359-69.5600040335885
5561765013.847612391811162.15238760819
5656646356.4568694306-692.456869430603
5755295827.41032994313-298.410329943134
5834185685.06422118545-2267.06422118545
5919413518.25482500046-1577.25482500046
6024022002.42679419721399.573205802785
6115792473.26327749538-894.263277495377
6221461628.24877385625517.751226143751
6324622207.99450158425254.005498415751
6436952530.247475523751164.75252447625
6548313791.92074136621039.0792586338
6651344953.50024876206180.499751237944
6762505260.94369682762989.056303172383
6857606401.29176538129-641.29176538129
6962495895.50478155001353.495218449992
7029176393.20694115873-3476.20694115873
7117412975.63150461522-1234.63150461522
7223591769.23799474477589.762005255229
7315112401.75644600811-890.75644600811
7420591531.82827170452527.171728295484
7526352092.80590840622542.194091593785
7628672682.15335775685184.846642243147
7744032918.703815301911484.29618469809
7857204491.243439126221228.75656087378
7945025838.49232271755-1336.49232271755
8057494587.59125673111161.4087432689
8156275863.18220712416-236.182207124163
8228465735.36799760771-2889.36799760771
8317622883.23905392988-1121.23905392988
8424291771.63697984919657.363020150809
8511692454.8195973887-1285.8195973887
8621541163.16596593773990.834034062267
8722492172.5577977366776.4422022633285
8826872269.43961171949417.560388280513
8943592717.718894027831641.28110597217
9053824430.1230901852951.876909814803
9144595476.55589596227-1017.55589596227
9263984528.506239403171869.49376059683
9345966513.5284548197-1917.5284548197
9430244664.32374653179-1640.32374653179
9518873051.94311814626-1164.94311814626
9620701886.26516036895183.73483963105
9713512073.78824814129-722.78824814129
9822181336.99502670477881.004973295231
9924612225.68314437524235.316855624764
10030282474.47605112302553.523948876979
10147843055.102412949071728.89758705093
10249754853.66350561566121.336494384343
10346075047.65050370045-440.650503700454
10462494668.802801059161580.19719894084
10548096349.70326567854-1540.70326567854
10631574871.77504196339-1714.77504196339
10719103177.56161069366-1267.56161069366
10822281899.35744476885328.64255523115
10915942225.44779456871-631.447794568712
11024671575.90314444019891.096855559811
11122222470.83969876732-248.83969876732
11236072219.713893770141387.28610622986
11346853638.865374438841046.13462556116
11449624742.61856715177219.381432848232
11557705025.01918403198744.980815968021
11654805851.35873044625-371.358730446254
11750005552.21681628231-552.216816282309
11832285058.62263275989-1830.62263275989
11919933241.55732635076-1248.55732635076
12022881975.82099791559312.17900208441
12115882278.50605661183-690.506056611833
12221051561.50754120964543.49245879036
12321912091.8869530819399.1130469180653
12435912180.326866010231410.67313398977
12546683615.054076243911052.94592375609
12648854717.97494591805167.025054081947
12758224939.08668096683882.91331903317
12855995897.82177729028-298.821777290284
12953405667.46553973793-327.465539737926
13030825400.40416508723-2318.40416508723
13120103085.33090913041-1075.33090913041
13223011986.85897764439314.141022355608

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 2920 & 2619 & 301 \tabularnewline
4 & 4240 & 3349.40985989488 & 890.59014010512 \tabularnewline
5 & 5415 & 4691.33394016711 & 723.666059832891 \tabularnewline
6 & 6136 & 5884.14877111077 & 251.851228889231 \tabularnewline
7 & 6719 & 6611.34871237463 & 107.651287625367 \tabularnewline
8 & 6234 & 7196.99881522781 & -962.998815227813 \tabularnewline
9 & 7152 & 6688.29221622524 & 463.707783774757 \tabularnewline
10 & 3646 & 7617.70753087619 & -3971.70753087619 \tabularnewline
11 & 2165 & 4013.93412108472 & -1848.93412108472 \tabularnewline
12 & 2803 & 2487.41803207441 & 315.581967925586 \tabularnewline
13 & 1615 & 3133.18686319627 & -1518.18686319627 \tabularnewline
14 & 2350 & 1907.81293645032 & 442.187063549682 \tabularnewline
15 & 3350 & 2653.69846531487 & 696.301534685125 \tabularnewline
16 & 3536 & 3670.83965075211 & -134.839650752107 \tabularnewline
17 & 5834 & 3853.5202390566 & 1980.4797609434 \tabularnewline
18 & 6767 & 6200.27464953247 & 566.72535046753 \tabularnewline
19 & 5993 & 7147.22599652862 & -1154.22599652862 \tabularnewline
20 & 7276 & 6344.81186722196 & 931.188132778043 \tabularnewline
21 & 5641 & 7650.73536755306 & -2009.73536755306 \tabularnewline
22 & 3477 & 5966.26075792065 & -2489.26075792065 \tabularnewline
23 & 2247 & 3740.98144410664 & -1493.98144410664 \tabularnewline
24 & 2466 & 2474.20339365355 & -8.20339365354948 \tabularnewline
25 & 1567 & 2693.00144681755 & -1126.00144681755 \tabularnewline
26 & 2237 & 1766.28213465027 & 470.717865349726 \tabularnewline
27 & 2598 & 2447.87001980728 & 150.129980192721 \tabularnewline
28 & 3729 & 2812.56584080146 & 916.434159198538 \tabularnewline
29 & 5715 & 3966.12613556074 & 1748.87386443926 \tabularnewline
30 & 5776 & 5995.17899373122 & -219.178993731219 \tabularnewline
31 & 5852 & 6050.78336039086 & -198.783360390856 \tabularnewline
32 & 6878 & 6121.88981603893 & 756.11018396107 \tabularnewline
33 & 5488 & 7166.50333938858 & -1678.50333938858 \tabularnewline
34 & 3583 & 5735.18282584054 & -2152.18282584054 \tabularnewline
35 & 2054 & 3777.20151950285 & -1723.20151950285 \tabularnewline
36 & 2282 & 2205.7806496352 & 76.2193503647968 \tabularnewline
37 & 1552 & 2435.65697756704 & -883.656977567037 \tabularnewline
38 & 2261 & 1683.90357424841 & 577.096425751585 \tabularnewline
39 & 2446 & 2407.11023092833 & 38.8897690716667 \tabularnewline
40 & 3519 & 2593.06759883586 & 925.932401164141 \tabularnewline
41 & 5161 & 3688.86171632674 & 1472.13828367326 \tabularnewline
42 & 5085 & 5367.10204332976 & -282.102043329763 \tabularnewline
43 & 5711 & 5284.15740340573 & 426.842596594267 \tabularnewline
44 & 6057 & 5920.66519024271 & 136.334809757289 \tabularnewline
45 & 5224 & 6270.02140897725 & -1046.02140897725 \tabularnewline
46 & 3363 & 5411.27100337072 & -2048.27100337072 \tabularnewline
47 & 1899 & 3499.84774369722 & -1600.84774369722 \tabularnewline
48 & 2115 & 1996.43891481406 & 118.561085185944 \tabularnewline
49 & 1491 & 2215.35758933304 & -724.357589333036 \tabularnewline
50 & 2061 & 1573.52573467938 & 487.474265320622 \tabularnewline
51 & 2419 & 2155.5261200893 & 263.473879910704 \tabularnewline
52 & 3430 & 2520.01218167102 & 909.987818328979 \tabularnewline
53 & 4778 & 3553.41378379682 & 1224.58621620318 \tabularnewline
54 & 4862 & 4931.56000403359 & -69.5600040335885 \tabularnewline
55 & 6176 & 5013.84761239181 & 1162.15238760819 \tabularnewline
56 & 5664 & 6356.4568694306 & -692.456869430603 \tabularnewline
57 & 5529 & 5827.41032994313 & -298.410329943134 \tabularnewline
58 & 3418 & 5685.06422118545 & -2267.06422118545 \tabularnewline
59 & 1941 & 3518.25482500046 & -1577.25482500046 \tabularnewline
60 & 2402 & 2002.42679419721 & 399.573205802785 \tabularnewline
61 & 1579 & 2473.26327749538 & -894.263277495377 \tabularnewline
62 & 2146 & 1628.24877385625 & 517.751226143751 \tabularnewline
63 & 2462 & 2207.99450158425 & 254.005498415751 \tabularnewline
64 & 3695 & 2530.24747552375 & 1164.75252447625 \tabularnewline
65 & 4831 & 3791.9207413662 & 1039.0792586338 \tabularnewline
66 & 5134 & 4953.50024876206 & 180.499751237944 \tabularnewline
67 & 6250 & 5260.94369682762 & 989.056303172383 \tabularnewline
68 & 5760 & 6401.29176538129 & -641.29176538129 \tabularnewline
69 & 6249 & 5895.50478155001 & 353.495218449992 \tabularnewline
70 & 2917 & 6393.20694115873 & -3476.20694115873 \tabularnewline
71 & 1741 & 2975.63150461522 & -1234.63150461522 \tabularnewline
72 & 2359 & 1769.23799474477 & 589.762005255229 \tabularnewline
73 & 1511 & 2401.75644600811 & -890.75644600811 \tabularnewline
74 & 2059 & 1531.82827170452 & 527.171728295484 \tabularnewline
75 & 2635 & 2092.80590840622 & 542.194091593785 \tabularnewline
76 & 2867 & 2682.15335775685 & 184.846642243147 \tabularnewline
77 & 4403 & 2918.70381530191 & 1484.29618469809 \tabularnewline
78 & 5720 & 4491.24343912622 & 1228.75656087378 \tabularnewline
79 & 4502 & 5838.49232271755 & -1336.49232271755 \tabularnewline
80 & 5749 & 4587.5912567311 & 1161.4087432689 \tabularnewline
81 & 5627 & 5863.18220712416 & -236.182207124163 \tabularnewline
82 & 2846 & 5735.36799760771 & -2889.36799760771 \tabularnewline
83 & 1762 & 2883.23905392988 & -1121.23905392988 \tabularnewline
84 & 2429 & 1771.63697984919 & 657.363020150809 \tabularnewline
85 & 1169 & 2454.8195973887 & -1285.8195973887 \tabularnewline
86 & 2154 & 1163.16596593773 & 990.834034062267 \tabularnewline
87 & 2249 & 2172.55779773667 & 76.4422022633285 \tabularnewline
88 & 2687 & 2269.43961171949 & 417.560388280513 \tabularnewline
89 & 4359 & 2717.71889402783 & 1641.28110597217 \tabularnewline
90 & 5382 & 4430.1230901852 & 951.876909814803 \tabularnewline
91 & 4459 & 5476.55589596227 & -1017.55589596227 \tabularnewline
92 & 6398 & 4528.50623940317 & 1869.49376059683 \tabularnewline
93 & 4596 & 6513.5284548197 & -1917.5284548197 \tabularnewline
94 & 3024 & 4664.32374653179 & -1640.32374653179 \tabularnewline
95 & 1887 & 3051.94311814626 & -1164.94311814626 \tabularnewline
96 & 2070 & 1886.26516036895 & 183.73483963105 \tabularnewline
97 & 1351 & 2073.78824814129 & -722.78824814129 \tabularnewline
98 & 2218 & 1336.99502670477 & 881.004973295231 \tabularnewline
99 & 2461 & 2225.68314437524 & 235.316855624764 \tabularnewline
100 & 3028 & 2474.47605112302 & 553.523948876979 \tabularnewline
101 & 4784 & 3055.10241294907 & 1728.89758705093 \tabularnewline
102 & 4975 & 4853.66350561566 & 121.336494384343 \tabularnewline
103 & 4607 & 5047.65050370045 & -440.650503700454 \tabularnewline
104 & 6249 & 4668.80280105916 & 1580.19719894084 \tabularnewline
105 & 4809 & 6349.70326567854 & -1540.70326567854 \tabularnewline
106 & 3157 & 4871.77504196339 & -1714.77504196339 \tabularnewline
107 & 1910 & 3177.56161069366 & -1267.56161069366 \tabularnewline
108 & 2228 & 1899.35744476885 & 328.64255523115 \tabularnewline
109 & 1594 & 2225.44779456871 & -631.447794568712 \tabularnewline
110 & 2467 & 1575.90314444019 & 891.096855559811 \tabularnewline
111 & 2222 & 2470.83969876732 & -248.83969876732 \tabularnewline
112 & 3607 & 2219.71389377014 & 1387.28610622986 \tabularnewline
113 & 4685 & 3638.86537443884 & 1046.13462556116 \tabularnewline
114 & 4962 & 4742.61856715177 & 219.381432848232 \tabularnewline
115 & 5770 & 5025.01918403198 & 744.980815968021 \tabularnewline
116 & 5480 & 5851.35873044625 & -371.358730446254 \tabularnewline
117 & 5000 & 5552.21681628231 & -552.216816282309 \tabularnewline
118 & 3228 & 5058.62263275989 & -1830.62263275989 \tabularnewline
119 & 1993 & 3241.55732635076 & -1248.55732635076 \tabularnewline
120 & 2288 & 1975.82099791559 & 312.17900208441 \tabularnewline
121 & 1588 & 2278.50605661183 & -690.506056611833 \tabularnewline
122 & 2105 & 1561.50754120964 & 543.49245879036 \tabularnewline
123 & 2191 & 2091.88695308193 & 99.1130469180653 \tabularnewline
124 & 3591 & 2180.32686601023 & 1410.67313398977 \tabularnewline
125 & 4668 & 3615.05407624391 & 1052.94592375609 \tabularnewline
126 & 4885 & 4717.97494591805 & 167.025054081947 \tabularnewline
127 & 5822 & 4939.08668096683 & 882.91331903317 \tabularnewline
128 & 5599 & 5897.82177729028 & -298.821777290284 \tabularnewline
129 & 5340 & 5667.46553973793 & -327.465539737926 \tabularnewline
130 & 3082 & 5400.40416508723 & -2318.40416508723 \tabularnewline
131 & 2010 & 3085.33090913041 & -1075.33090913041 \tabularnewline
132 & 2301 & 1986.85897764439 & 314.141022355608 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=275137&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]3[/C][C]2920[/C][C]2619[/C][C]301[/C][/ROW]
[ROW][C]4[/C][C]4240[/C][C]3349.40985989488[/C][C]890.59014010512[/C][/ROW]
[ROW][C]5[/C][C]5415[/C][C]4691.33394016711[/C][C]723.666059832891[/C][/ROW]
[ROW][C]6[/C][C]6136[/C][C]5884.14877111077[/C][C]251.851228889231[/C][/ROW]
[ROW][C]7[/C][C]6719[/C][C]6611.34871237463[/C][C]107.651287625367[/C][/ROW]
[ROW][C]8[/C][C]6234[/C][C]7196.99881522781[/C][C]-962.998815227813[/C][/ROW]
[ROW][C]9[/C][C]7152[/C][C]6688.29221622524[/C][C]463.707783774757[/C][/ROW]
[ROW][C]10[/C][C]3646[/C][C]7617.70753087619[/C][C]-3971.70753087619[/C][/ROW]
[ROW][C]11[/C][C]2165[/C][C]4013.93412108472[/C][C]-1848.93412108472[/C][/ROW]
[ROW][C]12[/C][C]2803[/C][C]2487.41803207441[/C][C]315.581967925586[/C][/ROW]
[ROW][C]13[/C][C]1615[/C][C]3133.18686319627[/C][C]-1518.18686319627[/C][/ROW]
[ROW][C]14[/C][C]2350[/C][C]1907.81293645032[/C][C]442.187063549682[/C][/ROW]
[ROW][C]15[/C][C]3350[/C][C]2653.69846531487[/C][C]696.301534685125[/C][/ROW]
[ROW][C]16[/C][C]3536[/C][C]3670.83965075211[/C][C]-134.839650752107[/C][/ROW]
[ROW][C]17[/C][C]5834[/C][C]3853.5202390566[/C][C]1980.4797609434[/C][/ROW]
[ROW][C]18[/C][C]6767[/C][C]6200.27464953247[/C][C]566.72535046753[/C][/ROW]
[ROW][C]19[/C][C]5993[/C][C]7147.22599652862[/C][C]-1154.22599652862[/C][/ROW]
[ROW][C]20[/C][C]7276[/C][C]6344.81186722196[/C][C]931.188132778043[/C][/ROW]
[ROW][C]21[/C][C]5641[/C][C]7650.73536755306[/C][C]-2009.73536755306[/C][/ROW]
[ROW][C]22[/C][C]3477[/C][C]5966.26075792065[/C][C]-2489.26075792065[/C][/ROW]
[ROW][C]23[/C][C]2247[/C][C]3740.98144410664[/C][C]-1493.98144410664[/C][/ROW]
[ROW][C]24[/C][C]2466[/C][C]2474.20339365355[/C][C]-8.20339365354948[/C][/ROW]
[ROW][C]25[/C][C]1567[/C][C]2693.00144681755[/C][C]-1126.00144681755[/C][/ROW]
[ROW][C]26[/C][C]2237[/C][C]1766.28213465027[/C][C]470.717865349726[/C][/ROW]
[ROW][C]27[/C][C]2598[/C][C]2447.87001980728[/C][C]150.129980192721[/C][/ROW]
[ROW][C]28[/C][C]3729[/C][C]2812.56584080146[/C][C]916.434159198538[/C][/ROW]
[ROW][C]29[/C][C]5715[/C][C]3966.12613556074[/C][C]1748.87386443926[/C][/ROW]
[ROW][C]30[/C][C]5776[/C][C]5995.17899373122[/C][C]-219.178993731219[/C][/ROW]
[ROW][C]31[/C][C]5852[/C][C]6050.78336039086[/C][C]-198.783360390856[/C][/ROW]
[ROW][C]32[/C][C]6878[/C][C]6121.88981603893[/C][C]756.11018396107[/C][/ROW]
[ROW][C]33[/C][C]5488[/C][C]7166.50333938858[/C][C]-1678.50333938858[/C][/ROW]
[ROW][C]34[/C][C]3583[/C][C]5735.18282584054[/C][C]-2152.18282584054[/C][/ROW]
[ROW][C]35[/C][C]2054[/C][C]3777.20151950285[/C][C]-1723.20151950285[/C][/ROW]
[ROW][C]36[/C][C]2282[/C][C]2205.7806496352[/C][C]76.2193503647968[/C][/ROW]
[ROW][C]37[/C][C]1552[/C][C]2435.65697756704[/C][C]-883.656977567037[/C][/ROW]
[ROW][C]38[/C][C]2261[/C][C]1683.90357424841[/C][C]577.096425751585[/C][/ROW]
[ROW][C]39[/C][C]2446[/C][C]2407.11023092833[/C][C]38.8897690716667[/C][/ROW]
[ROW][C]40[/C][C]3519[/C][C]2593.06759883586[/C][C]925.932401164141[/C][/ROW]
[ROW][C]41[/C][C]5161[/C][C]3688.86171632674[/C][C]1472.13828367326[/C][/ROW]
[ROW][C]42[/C][C]5085[/C][C]5367.10204332976[/C][C]-282.102043329763[/C][/ROW]
[ROW][C]43[/C][C]5711[/C][C]5284.15740340573[/C][C]426.842596594267[/C][/ROW]
[ROW][C]44[/C][C]6057[/C][C]5920.66519024271[/C][C]136.334809757289[/C][/ROW]
[ROW][C]45[/C][C]5224[/C][C]6270.02140897725[/C][C]-1046.02140897725[/C][/ROW]
[ROW][C]46[/C][C]3363[/C][C]5411.27100337072[/C][C]-2048.27100337072[/C][/ROW]
[ROW][C]47[/C][C]1899[/C][C]3499.84774369722[/C][C]-1600.84774369722[/C][/ROW]
[ROW][C]48[/C][C]2115[/C][C]1996.43891481406[/C][C]118.561085185944[/C][/ROW]
[ROW][C]49[/C][C]1491[/C][C]2215.35758933304[/C][C]-724.357589333036[/C][/ROW]
[ROW][C]50[/C][C]2061[/C][C]1573.52573467938[/C][C]487.474265320622[/C][/ROW]
[ROW][C]51[/C][C]2419[/C][C]2155.5261200893[/C][C]263.473879910704[/C][/ROW]
[ROW][C]52[/C][C]3430[/C][C]2520.01218167102[/C][C]909.987818328979[/C][/ROW]
[ROW][C]53[/C][C]4778[/C][C]3553.41378379682[/C][C]1224.58621620318[/C][/ROW]
[ROW][C]54[/C][C]4862[/C][C]4931.56000403359[/C][C]-69.5600040335885[/C][/ROW]
[ROW][C]55[/C][C]6176[/C][C]5013.84761239181[/C][C]1162.15238760819[/C][/ROW]
[ROW][C]56[/C][C]5664[/C][C]6356.4568694306[/C][C]-692.456869430603[/C][/ROW]
[ROW][C]57[/C][C]5529[/C][C]5827.41032994313[/C][C]-298.410329943134[/C][/ROW]
[ROW][C]58[/C][C]3418[/C][C]5685.06422118545[/C][C]-2267.06422118545[/C][/ROW]
[ROW][C]59[/C][C]1941[/C][C]3518.25482500046[/C][C]-1577.25482500046[/C][/ROW]
[ROW][C]60[/C][C]2402[/C][C]2002.42679419721[/C][C]399.573205802785[/C][/ROW]
[ROW][C]61[/C][C]1579[/C][C]2473.26327749538[/C][C]-894.263277495377[/C][/ROW]
[ROW][C]62[/C][C]2146[/C][C]1628.24877385625[/C][C]517.751226143751[/C][/ROW]
[ROW][C]63[/C][C]2462[/C][C]2207.99450158425[/C][C]254.005498415751[/C][/ROW]
[ROW][C]64[/C][C]3695[/C][C]2530.24747552375[/C][C]1164.75252447625[/C][/ROW]
[ROW][C]65[/C][C]4831[/C][C]3791.9207413662[/C][C]1039.0792586338[/C][/ROW]
[ROW][C]66[/C][C]5134[/C][C]4953.50024876206[/C][C]180.499751237944[/C][/ROW]
[ROW][C]67[/C][C]6250[/C][C]5260.94369682762[/C][C]989.056303172383[/C][/ROW]
[ROW][C]68[/C][C]5760[/C][C]6401.29176538129[/C][C]-641.29176538129[/C][/ROW]
[ROW][C]69[/C][C]6249[/C][C]5895.50478155001[/C][C]353.495218449992[/C][/ROW]
[ROW][C]70[/C][C]2917[/C][C]6393.20694115873[/C][C]-3476.20694115873[/C][/ROW]
[ROW][C]71[/C][C]1741[/C][C]2975.63150461522[/C][C]-1234.63150461522[/C][/ROW]
[ROW][C]72[/C][C]2359[/C][C]1769.23799474477[/C][C]589.762005255229[/C][/ROW]
[ROW][C]73[/C][C]1511[/C][C]2401.75644600811[/C][C]-890.75644600811[/C][/ROW]
[ROW][C]74[/C][C]2059[/C][C]1531.82827170452[/C][C]527.171728295484[/C][/ROW]
[ROW][C]75[/C][C]2635[/C][C]2092.80590840622[/C][C]542.194091593785[/C][/ROW]
[ROW][C]76[/C][C]2867[/C][C]2682.15335775685[/C][C]184.846642243147[/C][/ROW]
[ROW][C]77[/C][C]4403[/C][C]2918.70381530191[/C][C]1484.29618469809[/C][/ROW]
[ROW][C]78[/C][C]5720[/C][C]4491.24343912622[/C][C]1228.75656087378[/C][/ROW]
[ROW][C]79[/C][C]4502[/C][C]5838.49232271755[/C][C]-1336.49232271755[/C][/ROW]
[ROW][C]80[/C][C]5749[/C][C]4587.5912567311[/C][C]1161.4087432689[/C][/ROW]
[ROW][C]81[/C][C]5627[/C][C]5863.18220712416[/C][C]-236.182207124163[/C][/ROW]
[ROW][C]82[/C][C]2846[/C][C]5735.36799760771[/C][C]-2889.36799760771[/C][/ROW]
[ROW][C]83[/C][C]1762[/C][C]2883.23905392988[/C][C]-1121.23905392988[/C][/ROW]
[ROW][C]84[/C][C]2429[/C][C]1771.63697984919[/C][C]657.363020150809[/C][/ROW]
[ROW][C]85[/C][C]1169[/C][C]2454.8195973887[/C][C]-1285.8195973887[/C][/ROW]
[ROW][C]86[/C][C]2154[/C][C]1163.16596593773[/C][C]990.834034062267[/C][/ROW]
[ROW][C]87[/C][C]2249[/C][C]2172.55779773667[/C][C]76.4422022633285[/C][/ROW]
[ROW][C]88[/C][C]2687[/C][C]2269.43961171949[/C][C]417.560388280513[/C][/ROW]
[ROW][C]89[/C][C]4359[/C][C]2717.71889402783[/C][C]1641.28110597217[/C][/ROW]
[ROW][C]90[/C][C]5382[/C][C]4430.1230901852[/C][C]951.876909814803[/C][/ROW]
[ROW][C]91[/C][C]4459[/C][C]5476.55589596227[/C][C]-1017.55589596227[/C][/ROW]
[ROW][C]92[/C][C]6398[/C][C]4528.50623940317[/C][C]1869.49376059683[/C][/ROW]
[ROW][C]93[/C][C]4596[/C][C]6513.5284548197[/C][C]-1917.5284548197[/C][/ROW]
[ROW][C]94[/C][C]3024[/C][C]4664.32374653179[/C][C]-1640.32374653179[/C][/ROW]
[ROW][C]95[/C][C]1887[/C][C]3051.94311814626[/C][C]-1164.94311814626[/C][/ROW]
[ROW][C]96[/C][C]2070[/C][C]1886.26516036895[/C][C]183.73483963105[/C][/ROW]
[ROW][C]97[/C][C]1351[/C][C]2073.78824814129[/C][C]-722.78824814129[/C][/ROW]
[ROW][C]98[/C][C]2218[/C][C]1336.99502670477[/C][C]881.004973295231[/C][/ROW]
[ROW][C]99[/C][C]2461[/C][C]2225.68314437524[/C][C]235.316855624764[/C][/ROW]
[ROW][C]100[/C][C]3028[/C][C]2474.47605112302[/C][C]553.523948876979[/C][/ROW]
[ROW][C]101[/C][C]4784[/C][C]3055.10241294907[/C][C]1728.89758705093[/C][/ROW]
[ROW][C]102[/C][C]4975[/C][C]4853.66350561566[/C][C]121.336494384343[/C][/ROW]
[ROW][C]103[/C][C]4607[/C][C]5047.65050370045[/C][C]-440.650503700454[/C][/ROW]
[ROW][C]104[/C][C]6249[/C][C]4668.80280105916[/C][C]1580.19719894084[/C][/ROW]
[ROW][C]105[/C][C]4809[/C][C]6349.70326567854[/C][C]-1540.70326567854[/C][/ROW]
[ROW][C]106[/C][C]3157[/C][C]4871.77504196339[/C][C]-1714.77504196339[/C][/ROW]
[ROW][C]107[/C][C]1910[/C][C]3177.56161069366[/C][C]-1267.56161069366[/C][/ROW]
[ROW][C]108[/C][C]2228[/C][C]1899.35744476885[/C][C]328.64255523115[/C][/ROW]
[ROW][C]109[/C][C]1594[/C][C]2225.44779456871[/C][C]-631.447794568712[/C][/ROW]
[ROW][C]110[/C][C]2467[/C][C]1575.90314444019[/C][C]891.096855559811[/C][/ROW]
[ROW][C]111[/C][C]2222[/C][C]2470.83969876732[/C][C]-248.83969876732[/C][/ROW]
[ROW][C]112[/C][C]3607[/C][C]2219.71389377014[/C][C]1387.28610622986[/C][/ROW]
[ROW][C]113[/C][C]4685[/C][C]3638.86537443884[/C][C]1046.13462556116[/C][/ROW]
[ROW][C]114[/C][C]4962[/C][C]4742.61856715177[/C][C]219.381432848232[/C][/ROW]
[ROW][C]115[/C][C]5770[/C][C]5025.01918403198[/C][C]744.980815968021[/C][/ROW]
[ROW][C]116[/C][C]5480[/C][C]5851.35873044625[/C][C]-371.358730446254[/C][/ROW]
[ROW][C]117[/C][C]5000[/C][C]5552.21681628231[/C][C]-552.216816282309[/C][/ROW]
[ROW][C]118[/C][C]3228[/C][C]5058.62263275989[/C][C]-1830.62263275989[/C][/ROW]
[ROW][C]119[/C][C]1993[/C][C]3241.55732635076[/C][C]-1248.55732635076[/C][/ROW]
[ROW][C]120[/C][C]2288[/C][C]1975.82099791559[/C][C]312.17900208441[/C][/ROW]
[ROW][C]121[/C][C]1588[/C][C]2278.50605661183[/C][C]-690.506056611833[/C][/ROW]
[ROW][C]122[/C][C]2105[/C][C]1561.50754120964[/C][C]543.49245879036[/C][/ROW]
[ROW][C]123[/C][C]2191[/C][C]2091.88695308193[/C][C]99.1130469180653[/C][/ROW]
[ROW][C]124[/C][C]3591[/C][C]2180.32686601023[/C][C]1410.67313398977[/C][/ROW]
[ROW][C]125[/C][C]4668[/C][C]3615.05407624391[/C][C]1052.94592375609[/C][/ROW]
[ROW][C]126[/C][C]4885[/C][C]4717.97494591805[/C][C]167.025054081947[/C][/ROW]
[ROW][C]127[/C][C]5822[/C][C]4939.08668096683[/C][C]882.91331903317[/C][/ROW]
[ROW][C]128[/C][C]5599[/C][C]5897.82177729028[/C][C]-298.821777290284[/C][/ROW]
[ROW][C]129[/C][C]5340[/C][C]5667.46553973793[/C][C]-327.465539737926[/C][/ROW]
[ROW][C]130[/C][C]3082[/C][C]5400.40416508723[/C][C]-2318.40416508723[/C][/ROW]
[ROW][C]131[/C][C]2010[/C][C]3085.33090913041[/C][C]-1075.33090913041[/C][/ROW]
[ROW][C]132[/C][C]2301[/C][C]1986.85897764439[/C][C]314.141022355608[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=275137&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=275137&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
329202619301
442403349.40985989488890.59014010512
554154691.33394016711723.666059832891
661365884.14877111077251.851228889231
767196611.34871237463107.651287625367
862347196.99881522781-962.998815227813
971526688.29221622524463.707783774757
1036467617.70753087619-3971.70753087619
1121654013.93412108472-1848.93412108472
1228032487.41803207441315.581967925586
1316153133.18686319627-1518.18686319627
1423501907.81293645032442.187063549682
1533502653.69846531487696.301534685125
1635363670.83965075211-134.839650752107
1758343853.52023905661980.4797609434
1867676200.27464953247566.72535046753
1959937147.22599652862-1154.22599652862
2072766344.81186722196931.188132778043
2156417650.73536755306-2009.73536755306
2234775966.26075792065-2489.26075792065
2322473740.98144410664-1493.98144410664
2424662474.20339365355-8.20339365354948
2515672693.00144681755-1126.00144681755
2622371766.28213465027470.717865349726
2725982447.87001980728150.129980192721
2837292812.56584080146916.434159198538
2957153966.126135560741748.87386443926
3057765995.17899373122-219.178993731219
3158526050.78336039086-198.783360390856
3268786121.88981603893756.11018396107
3354887166.50333938858-1678.50333938858
3435835735.18282584054-2152.18282584054
3520543777.20151950285-1723.20151950285
3622822205.780649635276.2193503647968
3715522435.65697756704-883.656977567037
3822611683.90357424841577.096425751585
3924462407.1102309283338.8897690716667
4035192593.06759883586925.932401164141
4151613688.861716326741472.13828367326
4250855367.10204332976-282.102043329763
4357115284.15740340573426.842596594267
4460575920.66519024271136.334809757289
4552246270.02140897725-1046.02140897725
4633635411.27100337072-2048.27100337072
4718993499.84774369722-1600.84774369722
4821151996.43891481406118.561085185944
4914912215.35758933304-724.357589333036
5020611573.52573467938487.474265320622
5124192155.5261200893263.473879910704
5234302520.01218167102909.987818328979
5347783553.413783796821224.58621620318
5448624931.56000403359-69.5600040335885
5561765013.847612391811162.15238760819
5656646356.4568694306-692.456869430603
5755295827.41032994313-298.410329943134
5834185685.06422118545-2267.06422118545
5919413518.25482500046-1577.25482500046
6024022002.42679419721399.573205802785
6115792473.26327749538-894.263277495377
6221461628.24877385625517.751226143751
6324622207.99450158425254.005498415751
6436952530.247475523751164.75252447625
6548313791.92074136621039.0792586338
6651344953.50024876206180.499751237944
6762505260.94369682762989.056303172383
6857606401.29176538129-641.29176538129
6962495895.50478155001353.495218449992
7029176393.20694115873-3476.20694115873
7117412975.63150461522-1234.63150461522
7223591769.23799474477589.762005255229
7315112401.75644600811-890.75644600811
7420591531.82827170452527.171728295484
7526352092.80590840622542.194091593785
7628672682.15335775685184.846642243147
7744032918.703815301911484.29618469809
7857204491.243439126221228.75656087378
7945025838.49232271755-1336.49232271755
8057494587.59125673111161.4087432689
8156275863.18220712416-236.182207124163
8228465735.36799760771-2889.36799760771
8317622883.23905392988-1121.23905392988
8424291771.63697984919657.363020150809
8511692454.8195973887-1285.8195973887
8621541163.16596593773990.834034062267
8722492172.5577977366776.4422022633285
8826872269.43961171949417.560388280513
8943592717.718894027831641.28110597217
9053824430.1230901852951.876909814803
9144595476.55589596227-1017.55589596227
9263984528.506239403171869.49376059683
9345966513.5284548197-1917.5284548197
9430244664.32374653179-1640.32374653179
9518873051.94311814626-1164.94311814626
9620701886.26516036895183.73483963105
9713512073.78824814129-722.78824814129
9822181336.99502670477881.004973295231
9924612225.68314437524235.316855624764
10030282474.47605112302553.523948876979
10147843055.102412949071728.89758705093
10249754853.66350561566121.336494384343
10346075047.65050370045-440.650503700454
10462494668.802801059161580.19719894084
10548096349.70326567854-1540.70326567854
10631574871.77504196339-1714.77504196339
10719103177.56161069366-1267.56161069366
10822281899.35744476885328.64255523115
10915942225.44779456871-631.447794568712
11024671575.90314444019891.096855559811
11122222470.83969876732-248.83969876732
11236072219.713893770141387.28610622986
11346853638.865374438841046.13462556116
11449624742.61856715177219.381432848232
11557705025.01918403198744.980815968021
11654805851.35873044625-371.358730446254
11750005552.21681628231-552.216816282309
11832285058.62263275989-1830.62263275989
11919933241.55732635076-1248.55732635076
12022881975.82099791559312.17900208441
12115882278.50605661183-690.506056611833
12221051561.50754120964543.49245879036
12321912091.8869530819399.1130469180653
12435912180.326866010231410.67313398977
12546683615.054076243911052.94592375609
12648854717.97494591805167.025054081947
12758224939.08668096683882.91331903317
12855995897.82177729028-298.821777290284
12953405667.46553973793-327.465539737926
13030825400.40416508723-2318.40416508723
13120103085.33090913041-1075.33090913041
13223011986.85897764439314.141022355608







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1332285.592336325090.181583955280534571.0030886949
1342270.18467265018-1001.898623513335542.26796881368
1352254.77700897526-1801.897858391466311.45187634199
1362239.36934530035-2501.904593642236980.64328424293
1372223.96168162544-3140.929972482477588.85333573335
1382208.55401795053-3738.72210459148155.83014049246
1392193.14635427562-4306.861463103448693.15417165467
1402177.7386906007-4852.79600560719208.27338680851
1412162.33102692579-5381.631681963159706.29373581473
1422146.92336325088-5897.0369767268810190.8837032286
1432131.51569957597-6401.7440830766710664.7754822286
1442116.10803590105-6897.8465714831711130.0626432853

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 2285.59233632509 & 0.18158395528053 & 4571.0030886949 \tabularnewline
134 & 2270.18467265018 & -1001.89862351333 & 5542.26796881368 \tabularnewline
135 & 2254.77700897526 & -1801.89785839146 & 6311.45187634199 \tabularnewline
136 & 2239.36934530035 & -2501.90459364223 & 6980.64328424293 \tabularnewline
137 & 2223.96168162544 & -3140.92997248247 & 7588.85333573335 \tabularnewline
138 & 2208.55401795053 & -3738.7221045914 & 8155.83014049246 \tabularnewline
139 & 2193.14635427562 & -4306.86146310344 & 8693.15417165467 \tabularnewline
140 & 2177.7386906007 & -4852.7960056071 & 9208.27338680851 \tabularnewline
141 & 2162.33102692579 & -5381.63168196315 & 9706.29373581473 \tabularnewline
142 & 2146.92336325088 & -5897.03697672688 & 10190.8837032286 \tabularnewline
143 & 2131.51569957597 & -6401.74408307667 & 10664.7754822286 \tabularnewline
144 & 2116.10803590105 & -6897.84657148317 & 11130.0626432853 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=275137&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]133[/C][C]2285.59233632509[/C][C]0.18158395528053[/C][C]4571.0030886949[/C][/ROW]
[ROW][C]134[/C][C]2270.18467265018[/C][C]-1001.89862351333[/C][C]5542.26796881368[/C][/ROW]
[ROW][C]135[/C][C]2254.77700897526[/C][C]-1801.89785839146[/C][C]6311.45187634199[/C][/ROW]
[ROW][C]136[/C][C]2239.36934530035[/C][C]-2501.90459364223[/C][C]6980.64328424293[/C][/ROW]
[ROW][C]137[/C][C]2223.96168162544[/C][C]-3140.92997248247[/C][C]7588.85333573335[/C][/ROW]
[ROW][C]138[/C][C]2208.55401795053[/C][C]-3738.7221045914[/C][C]8155.83014049246[/C][/ROW]
[ROW][C]139[/C][C]2193.14635427562[/C][C]-4306.86146310344[/C][C]8693.15417165467[/C][/ROW]
[ROW][C]140[/C][C]2177.7386906007[/C][C]-4852.7960056071[/C][C]9208.27338680851[/C][/ROW]
[ROW][C]141[/C][C]2162.33102692579[/C][C]-5381.63168196315[/C][C]9706.29373581473[/C][/ROW]
[ROW][C]142[/C][C]2146.92336325088[/C][C]-5897.03697672688[/C][C]10190.8837032286[/C][/ROW]
[ROW][C]143[/C][C]2131.51569957597[/C][C]-6401.74408307667[/C][C]10664.7754822286[/C][/ROW]
[ROW][C]144[/C][C]2116.10803590105[/C][C]-6897.84657148317[/C][C]11130.0626432853[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=275137&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=275137&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
1332285.592336325090.181583955280534571.0030886949
1342270.18467265018-1001.898623513335542.26796881368
1352254.77700897526-1801.897858391466311.45187634199
1362239.36934530035-2501.904593642236980.64328424293
1372223.96168162544-3140.929972482477588.85333573335
1382208.55401795053-3738.72210459148155.83014049246
1392193.14635427562-4306.861463103448693.15417165467
1402177.7386906007-4852.79600560719208.27338680851
1412162.33102692579-5381.631681963159706.29373581473
1422146.92336325088-5897.0369767268810190.8837032286
1432131.51569957597-6401.7440830766710664.7754822286
1442116.10803590105-6897.8465714831711130.0626432853



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
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')