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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 computationSat, 13 Dec 2014 13:31:04 +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/2014/Dec/13/t1418477477olz0l2kwnxurfjz.htm/, Retrieved Sat, 11 May 2024 07:24:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267083, Retrieved Sat, 11 May 2024 07:24:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [] [2013-11-04 07:28:31] [0307e7a6407eb638caabc417e3a6b260]
- RM    [Multiple Regression] [] [2014-11-13 17:16:10] [d69b52d23ca73e15a0c741afa583703c]
-  MPD    [Multiple Regression] [huwelijken vs con...] [2014-12-13 10:56:41] [189b7d469e4e3b4e868a6af83e3b3816]
- RMPD        [Exponential Smoothing] [] [2014-12-13 13:31:04] [0ce3062f3159e08d115eba7e96d082ef] [Current]
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Dataseries X:
2132.00
1964.00
2209.00
1965.00
2631.00
2583.00
2714.00
2248.00
2364.00
3042.00
2316.00
2735.00
2493.00
2136.00
2467.00
2414.00
2556.00
2768.00
2998.00
2573.00
3005.00
3469.00
2540.00
3187.00
2689.00
2154.00
3065.00
2397.00
2787.00
3579.00
2915.00
3025.00
3245.00
3328.00
2840.00
3342.00
2261.00
2590.00
2624.00
1860.00
2577.00
2646.00
2639.00
2807.00
2350.00
3053.00
2203.00
2471.00
1967.00
2473.00
2397.00
1904.00
2732.00
2297.00
2734.00
2719.00
2296.00
3243.00
2166.00
2261.00
2408.00
2536.00
2324.00
2178.00
2803.00
2604.00
2782.00
2656.00
2801.00
3122.00
2393.00
2233.00
2451.00
2596.00
2467.00
2210.00
2948.00
2507.00
3019.00
2401.00
2818.00
3305.00
2101.00
2582.00
2407.00
2416.00
2463.00
2228.00
2616.00
2934.00
2668.00
2808.00
2664.00
3112.00
2321.00
2718.00
2297.00
2534.00
2647.00
2064.00
2642.00
2702.00
2348.00
2734.00
2709.00
3206.00
2214.00
2531.00
2119.00
2369.00
2682.00
1840.00
2622.00
2570.00
2447.00
2871.00
2485.00
2957.00
2102.00
2250.00
2051.00
2260.00
2327.00
1781.00
2631.00
2180.00
2150.00
2837.00
1976.00
2836.00
2203.00
1770.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267083&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267083&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267083&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.321614462779567
beta0.123294612631877
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.321614462779567 \tabularnewline
beta & 0.123294612631877 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267083&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]0.321614462779567[/C][/ROW]
[ROW][C]beta[/C][C]0.123294612631877[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267083&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267083&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
alpha0.321614462779567
beta0.123294612631877
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
322091796413
419651777.20359866792187.796401332085
526311693.42521572271937.574784277285
625831887.96436750023695.035632499771
727142032.05989799372681.940102006276
822482198.9849128005549.0150871994492
923642164.29570044789199.704299552106
1030422185.98925878613856.010741213865
1123162452.70413770116-136.704137701161
1227352394.72677977328340.273220226716
1324932503.64520507115-10.6452050711491
1421362499.28107170134-363.281071701343
1524672367.0988390896799.90116091033
1624142387.8441251498626.155874850137
1725562385.90902820398170.090971796018
1827682437.01021367507330.989786324934
1929982552.98363236683445.016367633171
2025732723.27602989912-150.276029899121
2130052696.15483770668308.845162293324
2234692828.94040041816640.059599581843
2325403093.62981135228-553.629811352283
2431872952.45817772072234.541822279284
2526893074.07430503725-385.07430503725
2621542981.1434457121-827.143445712105
2730652713.23776468663351.762235313368
2823972838.43374514326-441.433745143257
2927872691.0221082299595.9778917700514
3035792720.25566928715858.744330712849
3129153028.85802168234-113.858021682336
3230253020.142541237974.85745876202509
3332453049.80029067854195.199709321463
3433283148.41517938479179.584820615207
3528403249.12923031196-409.129230311956
3633423144.28099138958197.71900861042
3722613242.44414003231-981.444140032315
3825902922.4538371396-332.4538371396
3926242798.00529994581-174.005299945805
4018602717.61621423399-857.61621423399
4125772383.36063229772193.639367702282
4226462394.88249545558251.117504544416
4326392434.84780414396204.15219585604
4428072467.80370482531339.196295174692
4523502557.6420037932-207.642003793201
4630532463.3754999873589.624500012698
4722032648.90200972702-445.90200972702
4824712483.70671753356-12.7067175335615
4919672457.32943284627-490.329432846275
5024732257.89858005625215.10141994375
5123972293.8739797331103.126020266897
5219042297.925761574-393.925761574
5327322126.49803316691605.501966833095
5422972300.5108863914-3.51088639140289
5527342278.51717966146455.482820338543
5627192422.20389820054296.796101799455
5722962526.62362695342-230.623626953425
5832432452.27254805914790.727451940856
5921662737.75772478321-571.75772478321
6022612562.37586526313-301.375865263126
6124082462.00216541622-54.0021654162238
6225362439.0460594327396.9539405672708
6323242468.4841670372-144.484167037204
6421782414.5430089272-236.543008927205
6528032321.6146777033481.385322296699
6626042478.67101237373125.328987626267
6727822526.18419203063255.815807969366
6826562625.8077691194430.1922308805556
6928012654.06476318525146.935236814752
7031222725.69446791082396.305532089178
7123932893.24010046887-500.24010046887
7222332752.60750496852-519.607504968516
7324512585.14190389511-134.141903895106
7425962536.3284417677659.6715582322418
7524672552.21436816826-85.2143681682564
7622102518.12385167185-308.123851671848
7729482400.12428443227547.875715567734
7825072579.15165502996-72.1516550299598
7930192555.90820249363463.091797506368
8024012723.16991754814-322.16991754814
8128182625.10499772244192.89500227756
8233052700.34133468049604.658665319512
8321012931.98355087914-830.983550879144
8425822668.9512015009-86.9512015008954
8524072641.76251171892-234.762511718915
8624162557.72645131752-141.726451317522
8724632497.99220767165-34.9922076716521
8822282471.19768287672-243.197682876722
8926162367.79766790441248.202332095585
9029342432.28105388887501.71894611113
9126682598.1938767366769.8061232633258
9228082627.9653343807180.034665619295
9326642700.32685957373-36.3268595737272
9431122701.6629081031410.337091896899
9523212862.92377579227-541.92377579227
9627182696.4346934492721.5653065507349
9722972712.02698583642-415.026985836415
9825342570.74768037432-36.7476803743152
9926472549.6713026001897.3286973998215
10020642575.57523405067-511.575234050671
10126422385.3611928181256.638807181905
10227022452.39248122357249.607518776433
10323482527.06017504945-179.060175049454
10427342456.76180649511277.238193504891
10527092544.209010354164.790989645996
10632062602.02607874595603.973921254049
10722142825.04030732539-611.040307325391
10825312633.05860419124-102.058604191239
10921192600.7258145021-481.725814502104
11023692427.1845259503-58.1845259503043
11126822387.55303113744294.446968862558
11218402473.00872808998-633.008728089985
11326222235.08035494435386.919645055652
11425702340.51835020463229.481649795373
11524472404.4217209253542.5782790746548
11628712409.90263505678461.097364943222
11724852568.26938640611-83.2693864061134
11829572548.25800895672408.741991043281
11921022702.69258765022-600.69258765022
12022502508.65894483589-258.658944835895
12120512414.37157965426-363.371579654264
12222602271.99822329872-11.9982232987195
12323272242.1558506673884.8441493326227
12417812246.82373878757-465.823738787568
12526312055.91740718212575.082592817876
12621802222.58554639813-42.5855463981261
12721502188.91402009379-38.9140200937904
12828372154.88023924545682.119760754552
12919762379.78967085612-403.789670856116
13028362239.44331867863596.556681321375
13122032444.47828045938-241.478280459384
13217702370.41366012749-600.413660127495

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 2209 & 1796 & 413 \tabularnewline
4 & 1965 & 1777.20359866792 & 187.796401332085 \tabularnewline
5 & 2631 & 1693.42521572271 & 937.574784277285 \tabularnewline
6 & 2583 & 1887.96436750023 & 695.035632499771 \tabularnewline
7 & 2714 & 2032.05989799372 & 681.940102006276 \tabularnewline
8 & 2248 & 2198.98491280055 & 49.0150871994492 \tabularnewline
9 & 2364 & 2164.29570044789 & 199.704299552106 \tabularnewline
10 & 3042 & 2185.98925878613 & 856.010741213865 \tabularnewline
11 & 2316 & 2452.70413770116 & -136.704137701161 \tabularnewline
12 & 2735 & 2394.72677977328 & 340.273220226716 \tabularnewline
13 & 2493 & 2503.64520507115 & -10.6452050711491 \tabularnewline
14 & 2136 & 2499.28107170134 & -363.281071701343 \tabularnewline
15 & 2467 & 2367.09883908967 & 99.90116091033 \tabularnewline
16 & 2414 & 2387.84412514986 & 26.155874850137 \tabularnewline
17 & 2556 & 2385.90902820398 & 170.090971796018 \tabularnewline
18 & 2768 & 2437.01021367507 & 330.989786324934 \tabularnewline
19 & 2998 & 2552.98363236683 & 445.016367633171 \tabularnewline
20 & 2573 & 2723.27602989912 & -150.276029899121 \tabularnewline
21 & 3005 & 2696.15483770668 & 308.845162293324 \tabularnewline
22 & 3469 & 2828.94040041816 & 640.059599581843 \tabularnewline
23 & 2540 & 3093.62981135228 & -553.629811352283 \tabularnewline
24 & 3187 & 2952.45817772072 & 234.541822279284 \tabularnewline
25 & 2689 & 3074.07430503725 & -385.07430503725 \tabularnewline
26 & 2154 & 2981.1434457121 & -827.143445712105 \tabularnewline
27 & 3065 & 2713.23776468663 & 351.762235313368 \tabularnewline
28 & 2397 & 2838.43374514326 & -441.433745143257 \tabularnewline
29 & 2787 & 2691.02210822995 & 95.9778917700514 \tabularnewline
30 & 3579 & 2720.25566928715 & 858.744330712849 \tabularnewline
31 & 2915 & 3028.85802168234 & -113.858021682336 \tabularnewline
32 & 3025 & 3020.14254123797 & 4.85745876202509 \tabularnewline
33 & 3245 & 3049.80029067854 & 195.199709321463 \tabularnewline
34 & 3328 & 3148.41517938479 & 179.584820615207 \tabularnewline
35 & 2840 & 3249.12923031196 & -409.129230311956 \tabularnewline
36 & 3342 & 3144.28099138958 & 197.71900861042 \tabularnewline
37 & 2261 & 3242.44414003231 & -981.444140032315 \tabularnewline
38 & 2590 & 2922.4538371396 & -332.4538371396 \tabularnewline
39 & 2624 & 2798.00529994581 & -174.005299945805 \tabularnewline
40 & 1860 & 2717.61621423399 & -857.61621423399 \tabularnewline
41 & 2577 & 2383.36063229772 & 193.639367702282 \tabularnewline
42 & 2646 & 2394.88249545558 & 251.117504544416 \tabularnewline
43 & 2639 & 2434.84780414396 & 204.15219585604 \tabularnewline
44 & 2807 & 2467.80370482531 & 339.196295174692 \tabularnewline
45 & 2350 & 2557.6420037932 & -207.642003793201 \tabularnewline
46 & 3053 & 2463.3754999873 & 589.624500012698 \tabularnewline
47 & 2203 & 2648.90200972702 & -445.90200972702 \tabularnewline
48 & 2471 & 2483.70671753356 & -12.7067175335615 \tabularnewline
49 & 1967 & 2457.32943284627 & -490.329432846275 \tabularnewline
50 & 2473 & 2257.89858005625 & 215.10141994375 \tabularnewline
51 & 2397 & 2293.8739797331 & 103.126020266897 \tabularnewline
52 & 1904 & 2297.925761574 & -393.925761574 \tabularnewline
53 & 2732 & 2126.49803316691 & 605.501966833095 \tabularnewline
54 & 2297 & 2300.5108863914 & -3.51088639140289 \tabularnewline
55 & 2734 & 2278.51717966146 & 455.482820338543 \tabularnewline
56 & 2719 & 2422.20389820054 & 296.796101799455 \tabularnewline
57 & 2296 & 2526.62362695342 & -230.623626953425 \tabularnewline
58 & 3243 & 2452.27254805914 & 790.727451940856 \tabularnewline
59 & 2166 & 2737.75772478321 & -571.75772478321 \tabularnewline
60 & 2261 & 2562.37586526313 & -301.375865263126 \tabularnewline
61 & 2408 & 2462.00216541622 & -54.0021654162238 \tabularnewline
62 & 2536 & 2439.04605943273 & 96.9539405672708 \tabularnewline
63 & 2324 & 2468.4841670372 & -144.484167037204 \tabularnewline
64 & 2178 & 2414.5430089272 & -236.543008927205 \tabularnewline
65 & 2803 & 2321.6146777033 & 481.385322296699 \tabularnewline
66 & 2604 & 2478.67101237373 & 125.328987626267 \tabularnewline
67 & 2782 & 2526.18419203063 & 255.815807969366 \tabularnewline
68 & 2656 & 2625.80776911944 & 30.1922308805556 \tabularnewline
69 & 2801 & 2654.06476318525 & 146.935236814752 \tabularnewline
70 & 3122 & 2725.69446791082 & 396.305532089178 \tabularnewline
71 & 2393 & 2893.24010046887 & -500.24010046887 \tabularnewline
72 & 2233 & 2752.60750496852 & -519.607504968516 \tabularnewline
73 & 2451 & 2585.14190389511 & -134.141903895106 \tabularnewline
74 & 2596 & 2536.32844176776 & 59.6715582322418 \tabularnewline
75 & 2467 & 2552.21436816826 & -85.2143681682564 \tabularnewline
76 & 2210 & 2518.12385167185 & -308.123851671848 \tabularnewline
77 & 2948 & 2400.12428443227 & 547.875715567734 \tabularnewline
78 & 2507 & 2579.15165502996 & -72.1516550299598 \tabularnewline
79 & 3019 & 2555.90820249363 & 463.091797506368 \tabularnewline
80 & 2401 & 2723.16991754814 & -322.16991754814 \tabularnewline
81 & 2818 & 2625.10499772244 & 192.89500227756 \tabularnewline
82 & 3305 & 2700.34133468049 & 604.658665319512 \tabularnewline
83 & 2101 & 2931.98355087914 & -830.983550879144 \tabularnewline
84 & 2582 & 2668.9512015009 & -86.9512015008954 \tabularnewline
85 & 2407 & 2641.76251171892 & -234.762511718915 \tabularnewline
86 & 2416 & 2557.72645131752 & -141.726451317522 \tabularnewline
87 & 2463 & 2497.99220767165 & -34.9922076716521 \tabularnewline
88 & 2228 & 2471.19768287672 & -243.197682876722 \tabularnewline
89 & 2616 & 2367.79766790441 & 248.202332095585 \tabularnewline
90 & 2934 & 2432.28105388887 & 501.71894611113 \tabularnewline
91 & 2668 & 2598.19387673667 & 69.8061232633258 \tabularnewline
92 & 2808 & 2627.9653343807 & 180.034665619295 \tabularnewline
93 & 2664 & 2700.32685957373 & -36.3268595737272 \tabularnewline
94 & 3112 & 2701.6629081031 & 410.337091896899 \tabularnewline
95 & 2321 & 2862.92377579227 & -541.92377579227 \tabularnewline
96 & 2718 & 2696.43469344927 & 21.5653065507349 \tabularnewline
97 & 2297 & 2712.02698583642 & -415.026985836415 \tabularnewline
98 & 2534 & 2570.74768037432 & -36.7476803743152 \tabularnewline
99 & 2647 & 2549.67130260018 & 97.3286973998215 \tabularnewline
100 & 2064 & 2575.57523405067 & -511.575234050671 \tabularnewline
101 & 2642 & 2385.3611928181 & 256.638807181905 \tabularnewline
102 & 2702 & 2452.39248122357 & 249.607518776433 \tabularnewline
103 & 2348 & 2527.06017504945 & -179.060175049454 \tabularnewline
104 & 2734 & 2456.76180649511 & 277.238193504891 \tabularnewline
105 & 2709 & 2544.209010354 & 164.790989645996 \tabularnewline
106 & 3206 & 2602.02607874595 & 603.973921254049 \tabularnewline
107 & 2214 & 2825.04030732539 & -611.040307325391 \tabularnewline
108 & 2531 & 2633.05860419124 & -102.058604191239 \tabularnewline
109 & 2119 & 2600.7258145021 & -481.725814502104 \tabularnewline
110 & 2369 & 2427.1845259503 & -58.1845259503043 \tabularnewline
111 & 2682 & 2387.55303113744 & 294.446968862558 \tabularnewline
112 & 1840 & 2473.00872808998 & -633.008728089985 \tabularnewline
113 & 2622 & 2235.08035494435 & 386.919645055652 \tabularnewline
114 & 2570 & 2340.51835020463 & 229.481649795373 \tabularnewline
115 & 2447 & 2404.42172092535 & 42.5782790746548 \tabularnewline
116 & 2871 & 2409.90263505678 & 461.097364943222 \tabularnewline
117 & 2485 & 2568.26938640611 & -83.2693864061134 \tabularnewline
118 & 2957 & 2548.25800895672 & 408.741991043281 \tabularnewline
119 & 2102 & 2702.69258765022 & -600.69258765022 \tabularnewline
120 & 2250 & 2508.65894483589 & -258.658944835895 \tabularnewline
121 & 2051 & 2414.37157965426 & -363.371579654264 \tabularnewline
122 & 2260 & 2271.99822329872 & -11.9982232987195 \tabularnewline
123 & 2327 & 2242.15585066738 & 84.8441493326227 \tabularnewline
124 & 1781 & 2246.82373878757 & -465.823738787568 \tabularnewline
125 & 2631 & 2055.91740718212 & 575.082592817876 \tabularnewline
126 & 2180 & 2222.58554639813 & -42.5855463981261 \tabularnewline
127 & 2150 & 2188.91402009379 & -38.9140200937904 \tabularnewline
128 & 2837 & 2154.88023924545 & 682.119760754552 \tabularnewline
129 & 1976 & 2379.78967085612 & -403.789670856116 \tabularnewline
130 & 2836 & 2239.44331867863 & 596.556681321375 \tabularnewline
131 & 2203 & 2444.47828045938 & -241.478280459384 \tabularnewline
132 & 1770 & 2370.41366012749 & -600.413660127495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267083&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]2209[/C][C]1796[/C][C]413[/C][/ROW]
[ROW][C]4[/C][C]1965[/C][C]1777.20359866792[/C][C]187.796401332085[/C][/ROW]
[ROW][C]5[/C][C]2631[/C][C]1693.42521572271[/C][C]937.574784277285[/C][/ROW]
[ROW][C]6[/C][C]2583[/C][C]1887.96436750023[/C][C]695.035632499771[/C][/ROW]
[ROW][C]7[/C][C]2714[/C][C]2032.05989799372[/C][C]681.940102006276[/C][/ROW]
[ROW][C]8[/C][C]2248[/C][C]2198.98491280055[/C][C]49.0150871994492[/C][/ROW]
[ROW][C]9[/C][C]2364[/C][C]2164.29570044789[/C][C]199.704299552106[/C][/ROW]
[ROW][C]10[/C][C]3042[/C][C]2185.98925878613[/C][C]856.010741213865[/C][/ROW]
[ROW][C]11[/C][C]2316[/C][C]2452.70413770116[/C][C]-136.704137701161[/C][/ROW]
[ROW][C]12[/C][C]2735[/C][C]2394.72677977328[/C][C]340.273220226716[/C][/ROW]
[ROW][C]13[/C][C]2493[/C][C]2503.64520507115[/C][C]-10.6452050711491[/C][/ROW]
[ROW][C]14[/C][C]2136[/C][C]2499.28107170134[/C][C]-363.281071701343[/C][/ROW]
[ROW][C]15[/C][C]2467[/C][C]2367.09883908967[/C][C]99.90116091033[/C][/ROW]
[ROW][C]16[/C][C]2414[/C][C]2387.84412514986[/C][C]26.155874850137[/C][/ROW]
[ROW][C]17[/C][C]2556[/C][C]2385.90902820398[/C][C]170.090971796018[/C][/ROW]
[ROW][C]18[/C][C]2768[/C][C]2437.01021367507[/C][C]330.989786324934[/C][/ROW]
[ROW][C]19[/C][C]2998[/C][C]2552.98363236683[/C][C]445.016367633171[/C][/ROW]
[ROW][C]20[/C][C]2573[/C][C]2723.27602989912[/C][C]-150.276029899121[/C][/ROW]
[ROW][C]21[/C][C]3005[/C][C]2696.15483770668[/C][C]308.845162293324[/C][/ROW]
[ROW][C]22[/C][C]3469[/C][C]2828.94040041816[/C][C]640.059599581843[/C][/ROW]
[ROW][C]23[/C][C]2540[/C][C]3093.62981135228[/C][C]-553.629811352283[/C][/ROW]
[ROW][C]24[/C][C]3187[/C][C]2952.45817772072[/C][C]234.541822279284[/C][/ROW]
[ROW][C]25[/C][C]2689[/C][C]3074.07430503725[/C][C]-385.07430503725[/C][/ROW]
[ROW][C]26[/C][C]2154[/C][C]2981.1434457121[/C][C]-827.143445712105[/C][/ROW]
[ROW][C]27[/C][C]3065[/C][C]2713.23776468663[/C][C]351.762235313368[/C][/ROW]
[ROW][C]28[/C][C]2397[/C][C]2838.43374514326[/C][C]-441.433745143257[/C][/ROW]
[ROW][C]29[/C][C]2787[/C][C]2691.02210822995[/C][C]95.9778917700514[/C][/ROW]
[ROW][C]30[/C][C]3579[/C][C]2720.25566928715[/C][C]858.744330712849[/C][/ROW]
[ROW][C]31[/C][C]2915[/C][C]3028.85802168234[/C][C]-113.858021682336[/C][/ROW]
[ROW][C]32[/C][C]3025[/C][C]3020.14254123797[/C][C]4.85745876202509[/C][/ROW]
[ROW][C]33[/C][C]3245[/C][C]3049.80029067854[/C][C]195.199709321463[/C][/ROW]
[ROW][C]34[/C][C]3328[/C][C]3148.41517938479[/C][C]179.584820615207[/C][/ROW]
[ROW][C]35[/C][C]2840[/C][C]3249.12923031196[/C][C]-409.129230311956[/C][/ROW]
[ROW][C]36[/C][C]3342[/C][C]3144.28099138958[/C][C]197.71900861042[/C][/ROW]
[ROW][C]37[/C][C]2261[/C][C]3242.44414003231[/C][C]-981.444140032315[/C][/ROW]
[ROW][C]38[/C][C]2590[/C][C]2922.4538371396[/C][C]-332.4538371396[/C][/ROW]
[ROW][C]39[/C][C]2624[/C][C]2798.00529994581[/C][C]-174.005299945805[/C][/ROW]
[ROW][C]40[/C][C]1860[/C][C]2717.61621423399[/C][C]-857.61621423399[/C][/ROW]
[ROW][C]41[/C][C]2577[/C][C]2383.36063229772[/C][C]193.639367702282[/C][/ROW]
[ROW][C]42[/C][C]2646[/C][C]2394.88249545558[/C][C]251.117504544416[/C][/ROW]
[ROW][C]43[/C][C]2639[/C][C]2434.84780414396[/C][C]204.15219585604[/C][/ROW]
[ROW][C]44[/C][C]2807[/C][C]2467.80370482531[/C][C]339.196295174692[/C][/ROW]
[ROW][C]45[/C][C]2350[/C][C]2557.6420037932[/C][C]-207.642003793201[/C][/ROW]
[ROW][C]46[/C][C]3053[/C][C]2463.3754999873[/C][C]589.624500012698[/C][/ROW]
[ROW][C]47[/C][C]2203[/C][C]2648.90200972702[/C][C]-445.90200972702[/C][/ROW]
[ROW][C]48[/C][C]2471[/C][C]2483.70671753356[/C][C]-12.7067175335615[/C][/ROW]
[ROW][C]49[/C][C]1967[/C][C]2457.32943284627[/C][C]-490.329432846275[/C][/ROW]
[ROW][C]50[/C][C]2473[/C][C]2257.89858005625[/C][C]215.10141994375[/C][/ROW]
[ROW][C]51[/C][C]2397[/C][C]2293.8739797331[/C][C]103.126020266897[/C][/ROW]
[ROW][C]52[/C][C]1904[/C][C]2297.925761574[/C][C]-393.925761574[/C][/ROW]
[ROW][C]53[/C][C]2732[/C][C]2126.49803316691[/C][C]605.501966833095[/C][/ROW]
[ROW][C]54[/C][C]2297[/C][C]2300.5108863914[/C][C]-3.51088639140289[/C][/ROW]
[ROW][C]55[/C][C]2734[/C][C]2278.51717966146[/C][C]455.482820338543[/C][/ROW]
[ROW][C]56[/C][C]2719[/C][C]2422.20389820054[/C][C]296.796101799455[/C][/ROW]
[ROW][C]57[/C][C]2296[/C][C]2526.62362695342[/C][C]-230.623626953425[/C][/ROW]
[ROW][C]58[/C][C]3243[/C][C]2452.27254805914[/C][C]790.727451940856[/C][/ROW]
[ROW][C]59[/C][C]2166[/C][C]2737.75772478321[/C][C]-571.75772478321[/C][/ROW]
[ROW][C]60[/C][C]2261[/C][C]2562.37586526313[/C][C]-301.375865263126[/C][/ROW]
[ROW][C]61[/C][C]2408[/C][C]2462.00216541622[/C][C]-54.0021654162238[/C][/ROW]
[ROW][C]62[/C][C]2536[/C][C]2439.04605943273[/C][C]96.9539405672708[/C][/ROW]
[ROW][C]63[/C][C]2324[/C][C]2468.4841670372[/C][C]-144.484167037204[/C][/ROW]
[ROW][C]64[/C][C]2178[/C][C]2414.5430089272[/C][C]-236.543008927205[/C][/ROW]
[ROW][C]65[/C][C]2803[/C][C]2321.6146777033[/C][C]481.385322296699[/C][/ROW]
[ROW][C]66[/C][C]2604[/C][C]2478.67101237373[/C][C]125.328987626267[/C][/ROW]
[ROW][C]67[/C][C]2782[/C][C]2526.18419203063[/C][C]255.815807969366[/C][/ROW]
[ROW][C]68[/C][C]2656[/C][C]2625.80776911944[/C][C]30.1922308805556[/C][/ROW]
[ROW][C]69[/C][C]2801[/C][C]2654.06476318525[/C][C]146.935236814752[/C][/ROW]
[ROW][C]70[/C][C]3122[/C][C]2725.69446791082[/C][C]396.305532089178[/C][/ROW]
[ROW][C]71[/C][C]2393[/C][C]2893.24010046887[/C][C]-500.24010046887[/C][/ROW]
[ROW][C]72[/C][C]2233[/C][C]2752.60750496852[/C][C]-519.607504968516[/C][/ROW]
[ROW][C]73[/C][C]2451[/C][C]2585.14190389511[/C][C]-134.141903895106[/C][/ROW]
[ROW][C]74[/C][C]2596[/C][C]2536.32844176776[/C][C]59.6715582322418[/C][/ROW]
[ROW][C]75[/C][C]2467[/C][C]2552.21436816826[/C][C]-85.2143681682564[/C][/ROW]
[ROW][C]76[/C][C]2210[/C][C]2518.12385167185[/C][C]-308.123851671848[/C][/ROW]
[ROW][C]77[/C][C]2948[/C][C]2400.12428443227[/C][C]547.875715567734[/C][/ROW]
[ROW][C]78[/C][C]2507[/C][C]2579.15165502996[/C][C]-72.1516550299598[/C][/ROW]
[ROW][C]79[/C][C]3019[/C][C]2555.90820249363[/C][C]463.091797506368[/C][/ROW]
[ROW][C]80[/C][C]2401[/C][C]2723.16991754814[/C][C]-322.16991754814[/C][/ROW]
[ROW][C]81[/C][C]2818[/C][C]2625.10499772244[/C][C]192.89500227756[/C][/ROW]
[ROW][C]82[/C][C]3305[/C][C]2700.34133468049[/C][C]604.658665319512[/C][/ROW]
[ROW][C]83[/C][C]2101[/C][C]2931.98355087914[/C][C]-830.983550879144[/C][/ROW]
[ROW][C]84[/C][C]2582[/C][C]2668.9512015009[/C][C]-86.9512015008954[/C][/ROW]
[ROW][C]85[/C][C]2407[/C][C]2641.76251171892[/C][C]-234.762511718915[/C][/ROW]
[ROW][C]86[/C][C]2416[/C][C]2557.72645131752[/C][C]-141.726451317522[/C][/ROW]
[ROW][C]87[/C][C]2463[/C][C]2497.99220767165[/C][C]-34.9922076716521[/C][/ROW]
[ROW][C]88[/C][C]2228[/C][C]2471.19768287672[/C][C]-243.197682876722[/C][/ROW]
[ROW][C]89[/C][C]2616[/C][C]2367.79766790441[/C][C]248.202332095585[/C][/ROW]
[ROW][C]90[/C][C]2934[/C][C]2432.28105388887[/C][C]501.71894611113[/C][/ROW]
[ROW][C]91[/C][C]2668[/C][C]2598.19387673667[/C][C]69.8061232633258[/C][/ROW]
[ROW][C]92[/C][C]2808[/C][C]2627.9653343807[/C][C]180.034665619295[/C][/ROW]
[ROW][C]93[/C][C]2664[/C][C]2700.32685957373[/C][C]-36.3268595737272[/C][/ROW]
[ROW][C]94[/C][C]3112[/C][C]2701.6629081031[/C][C]410.337091896899[/C][/ROW]
[ROW][C]95[/C][C]2321[/C][C]2862.92377579227[/C][C]-541.92377579227[/C][/ROW]
[ROW][C]96[/C][C]2718[/C][C]2696.43469344927[/C][C]21.5653065507349[/C][/ROW]
[ROW][C]97[/C][C]2297[/C][C]2712.02698583642[/C][C]-415.026985836415[/C][/ROW]
[ROW][C]98[/C][C]2534[/C][C]2570.74768037432[/C][C]-36.7476803743152[/C][/ROW]
[ROW][C]99[/C][C]2647[/C][C]2549.67130260018[/C][C]97.3286973998215[/C][/ROW]
[ROW][C]100[/C][C]2064[/C][C]2575.57523405067[/C][C]-511.575234050671[/C][/ROW]
[ROW][C]101[/C][C]2642[/C][C]2385.3611928181[/C][C]256.638807181905[/C][/ROW]
[ROW][C]102[/C][C]2702[/C][C]2452.39248122357[/C][C]249.607518776433[/C][/ROW]
[ROW][C]103[/C][C]2348[/C][C]2527.06017504945[/C][C]-179.060175049454[/C][/ROW]
[ROW][C]104[/C][C]2734[/C][C]2456.76180649511[/C][C]277.238193504891[/C][/ROW]
[ROW][C]105[/C][C]2709[/C][C]2544.209010354[/C][C]164.790989645996[/C][/ROW]
[ROW][C]106[/C][C]3206[/C][C]2602.02607874595[/C][C]603.973921254049[/C][/ROW]
[ROW][C]107[/C][C]2214[/C][C]2825.04030732539[/C][C]-611.040307325391[/C][/ROW]
[ROW][C]108[/C][C]2531[/C][C]2633.05860419124[/C][C]-102.058604191239[/C][/ROW]
[ROW][C]109[/C][C]2119[/C][C]2600.7258145021[/C][C]-481.725814502104[/C][/ROW]
[ROW][C]110[/C][C]2369[/C][C]2427.1845259503[/C][C]-58.1845259503043[/C][/ROW]
[ROW][C]111[/C][C]2682[/C][C]2387.55303113744[/C][C]294.446968862558[/C][/ROW]
[ROW][C]112[/C][C]1840[/C][C]2473.00872808998[/C][C]-633.008728089985[/C][/ROW]
[ROW][C]113[/C][C]2622[/C][C]2235.08035494435[/C][C]386.919645055652[/C][/ROW]
[ROW][C]114[/C][C]2570[/C][C]2340.51835020463[/C][C]229.481649795373[/C][/ROW]
[ROW][C]115[/C][C]2447[/C][C]2404.42172092535[/C][C]42.5782790746548[/C][/ROW]
[ROW][C]116[/C][C]2871[/C][C]2409.90263505678[/C][C]461.097364943222[/C][/ROW]
[ROW][C]117[/C][C]2485[/C][C]2568.26938640611[/C][C]-83.2693864061134[/C][/ROW]
[ROW][C]118[/C][C]2957[/C][C]2548.25800895672[/C][C]408.741991043281[/C][/ROW]
[ROW][C]119[/C][C]2102[/C][C]2702.69258765022[/C][C]-600.69258765022[/C][/ROW]
[ROW][C]120[/C][C]2250[/C][C]2508.65894483589[/C][C]-258.658944835895[/C][/ROW]
[ROW][C]121[/C][C]2051[/C][C]2414.37157965426[/C][C]-363.371579654264[/C][/ROW]
[ROW][C]122[/C][C]2260[/C][C]2271.99822329872[/C][C]-11.9982232987195[/C][/ROW]
[ROW][C]123[/C][C]2327[/C][C]2242.15585066738[/C][C]84.8441493326227[/C][/ROW]
[ROW][C]124[/C][C]1781[/C][C]2246.82373878757[/C][C]-465.823738787568[/C][/ROW]
[ROW][C]125[/C][C]2631[/C][C]2055.91740718212[/C][C]575.082592817876[/C][/ROW]
[ROW][C]126[/C][C]2180[/C][C]2222.58554639813[/C][C]-42.5855463981261[/C][/ROW]
[ROW][C]127[/C][C]2150[/C][C]2188.91402009379[/C][C]-38.9140200937904[/C][/ROW]
[ROW][C]128[/C][C]2837[/C][C]2154.88023924545[/C][C]682.119760754552[/C][/ROW]
[ROW][C]129[/C][C]1976[/C][C]2379.78967085612[/C][C]-403.789670856116[/C][/ROW]
[ROW][C]130[/C][C]2836[/C][C]2239.44331867863[/C][C]596.556681321375[/C][/ROW]
[ROW][C]131[/C][C]2203[/C][C]2444.47828045938[/C][C]-241.478280459384[/C][/ROW]
[ROW][C]132[/C][C]1770[/C][C]2370.41366012749[/C][C]-600.413660127495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267083&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267083&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
322091796413
419651777.20359866792187.796401332085
526311693.42521572271937.574784277285
625831887.96436750023695.035632499771
727142032.05989799372681.940102006276
822482198.9849128005549.0150871994492
923642164.29570044789199.704299552106
1030422185.98925878613856.010741213865
1123162452.70413770116-136.704137701161
1227352394.72677977328340.273220226716
1324932503.64520507115-10.6452050711491
1421362499.28107170134-363.281071701343
1524672367.0988390896799.90116091033
1624142387.8441251498626.155874850137
1725562385.90902820398170.090971796018
1827682437.01021367507330.989786324934
1929982552.98363236683445.016367633171
2025732723.27602989912-150.276029899121
2130052696.15483770668308.845162293324
2234692828.94040041816640.059599581843
2325403093.62981135228-553.629811352283
2431872952.45817772072234.541822279284
2526893074.07430503725-385.07430503725
2621542981.1434457121-827.143445712105
2730652713.23776468663351.762235313368
2823972838.43374514326-441.433745143257
2927872691.0221082299595.9778917700514
3035792720.25566928715858.744330712849
3129153028.85802168234-113.858021682336
3230253020.142541237974.85745876202509
3332453049.80029067854195.199709321463
3433283148.41517938479179.584820615207
3528403249.12923031196-409.129230311956
3633423144.28099138958197.71900861042
3722613242.44414003231-981.444140032315
3825902922.4538371396-332.4538371396
3926242798.00529994581-174.005299945805
4018602717.61621423399-857.61621423399
4125772383.36063229772193.639367702282
4226462394.88249545558251.117504544416
4326392434.84780414396204.15219585604
4428072467.80370482531339.196295174692
4523502557.6420037932-207.642003793201
4630532463.3754999873589.624500012698
4722032648.90200972702-445.90200972702
4824712483.70671753356-12.7067175335615
4919672457.32943284627-490.329432846275
5024732257.89858005625215.10141994375
5123972293.8739797331103.126020266897
5219042297.925761574-393.925761574
5327322126.49803316691605.501966833095
5422972300.5108863914-3.51088639140289
5527342278.51717966146455.482820338543
5627192422.20389820054296.796101799455
5722962526.62362695342-230.623626953425
5832432452.27254805914790.727451940856
5921662737.75772478321-571.75772478321
6022612562.37586526313-301.375865263126
6124082462.00216541622-54.0021654162238
6225362439.0460594327396.9539405672708
6323242468.4841670372-144.484167037204
6421782414.5430089272-236.543008927205
6528032321.6146777033481.385322296699
6626042478.67101237373125.328987626267
6727822526.18419203063255.815807969366
6826562625.8077691194430.1922308805556
6928012654.06476318525146.935236814752
7031222725.69446791082396.305532089178
7123932893.24010046887-500.24010046887
7222332752.60750496852-519.607504968516
7324512585.14190389511-134.141903895106
7425962536.3284417677659.6715582322418
7524672552.21436816826-85.2143681682564
7622102518.12385167185-308.123851671848
7729482400.12428443227547.875715567734
7825072579.15165502996-72.1516550299598
7930192555.90820249363463.091797506368
8024012723.16991754814-322.16991754814
8128182625.10499772244192.89500227756
8233052700.34133468049604.658665319512
8321012931.98355087914-830.983550879144
8425822668.9512015009-86.9512015008954
8524072641.76251171892-234.762511718915
8624162557.72645131752-141.726451317522
8724632497.99220767165-34.9922076716521
8822282471.19768287672-243.197682876722
8926162367.79766790441248.202332095585
9029342432.28105388887501.71894611113
9126682598.1938767366769.8061232633258
9228082627.9653343807180.034665619295
9326642700.32685957373-36.3268595737272
9431122701.6629081031410.337091896899
9523212862.92377579227-541.92377579227
9627182696.4346934492721.5653065507349
9722972712.02698583642-415.026985836415
9825342570.74768037432-36.7476803743152
9926472549.6713026001897.3286973998215
10020642575.57523405067-511.575234050671
10126422385.3611928181256.638807181905
10227022452.39248122357249.607518776433
10323482527.06017504945-179.060175049454
10427342456.76180649511277.238193504891
10527092544.209010354164.790989645996
10632062602.02607874595603.973921254049
10722142825.04030732539-611.040307325391
10825312633.05860419124-102.058604191239
10921192600.7258145021-481.725814502104
11023692427.1845259503-58.1845259503043
11126822387.55303113744294.446968862558
11218402473.00872808998-633.008728089985
11326222235.08035494435386.919645055652
11425702340.51835020463229.481649795373
11524472404.4217209253542.5782790746548
11628712409.90263505678461.097364943222
11724852568.26938640611-83.2693864061134
11829572548.25800895672408.741991043281
11921022702.69258765022-600.69258765022
12022502508.65894483589-258.658944835895
12120512414.37157965426-363.371579654264
12222602271.99822329872-11.9982232987195
12323272242.1558506673884.8441493326227
12417812246.82373878757-465.823738787568
12526312055.91740718212575.082592817876
12621802222.58554639813-42.5855463981261
12721502188.91402009379-38.9140200937904
12828372154.88023924545682.119760754552
12919762379.78967085612-403.789670856116
13028362239.44331867863596.556681321375
13122032444.47828045938-241.478280459384
13217702370.41366012749-600.413660127495







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1332157.101829126141376.129706802752938.07395144953
1342136.891714872211306.518017100112967.26541264431
1352116.681600618271229.23738487073004.12581636584
1362096.471486364341144.659644514153048.28332821453
1372076.261372110411053.224633413993099.29811080682
1382056.05125785647955.3921610074513156.71035470549
1392035.84114360254851.6103085658993220.07197863917
1402015.6310293486742.2972591408723288.96479955633
1411995.42091509467627.832834318993363.00899587035
1421975.21080084073508.5562649189333441.86533676253
1431955.0006865868384.7675670673033525.2338061063
1441934.79057233286256.7307472756273612.8503973901

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 2157.10182912614 & 1376.12970680275 & 2938.07395144953 \tabularnewline
134 & 2136.89171487221 & 1306.51801710011 & 2967.26541264431 \tabularnewline
135 & 2116.68160061827 & 1229.2373848707 & 3004.12581636584 \tabularnewline
136 & 2096.47148636434 & 1144.65964451415 & 3048.28332821453 \tabularnewline
137 & 2076.26137211041 & 1053.22463341399 & 3099.29811080682 \tabularnewline
138 & 2056.05125785647 & 955.392161007451 & 3156.71035470549 \tabularnewline
139 & 2035.84114360254 & 851.610308565899 & 3220.07197863917 \tabularnewline
140 & 2015.6310293486 & 742.297259140872 & 3288.96479955633 \tabularnewline
141 & 1995.42091509467 & 627.83283431899 & 3363.00899587035 \tabularnewline
142 & 1975.21080084073 & 508.556264918933 & 3441.86533676253 \tabularnewline
143 & 1955.0006865868 & 384.767567067303 & 3525.2338061063 \tabularnewline
144 & 1934.79057233286 & 256.730747275627 & 3612.8503973901 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267083&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]2157.10182912614[/C][C]1376.12970680275[/C][C]2938.07395144953[/C][/ROW]
[ROW][C]134[/C][C]2136.89171487221[/C][C]1306.51801710011[/C][C]2967.26541264431[/C][/ROW]
[ROW][C]135[/C][C]2116.68160061827[/C][C]1229.2373848707[/C][C]3004.12581636584[/C][/ROW]
[ROW][C]136[/C][C]2096.47148636434[/C][C]1144.65964451415[/C][C]3048.28332821453[/C][/ROW]
[ROW][C]137[/C][C]2076.26137211041[/C][C]1053.22463341399[/C][C]3099.29811080682[/C][/ROW]
[ROW][C]138[/C][C]2056.05125785647[/C][C]955.392161007451[/C][C]3156.71035470549[/C][/ROW]
[ROW][C]139[/C][C]2035.84114360254[/C][C]851.610308565899[/C][C]3220.07197863917[/C][/ROW]
[ROW][C]140[/C][C]2015.6310293486[/C][C]742.297259140872[/C][C]3288.96479955633[/C][/ROW]
[ROW][C]141[/C][C]1995.42091509467[/C][C]627.83283431899[/C][C]3363.00899587035[/C][/ROW]
[ROW][C]142[/C][C]1975.21080084073[/C][C]508.556264918933[/C][C]3441.86533676253[/C][/ROW]
[ROW][C]143[/C][C]1955.0006865868[/C][C]384.767567067303[/C][C]3525.2338061063[/C][/ROW]
[ROW][C]144[/C][C]1934.79057233286[/C][C]256.730747275627[/C][C]3612.8503973901[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267083&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267083&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
1332157.101829126141376.129706802752938.07395144953
1342136.891714872211306.518017100112967.26541264431
1352116.681600618271229.23738487073004.12581636584
1362096.471486364341144.659644514153048.28332821453
1372076.261372110411053.224633413993099.29811080682
1382056.05125785647955.3921610074513156.71035470549
1392035.84114360254851.6103085658993220.07197863917
1402015.6310293486742.2972591408723288.96479955633
1411995.42091509467627.832834318993363.00899587035
1421975.21080084073508.5562649189333441.86533676253
1431955.0006865868384.7675670673033525.2338061063
1441934.79057233286256.7307472756273612.8503973901



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')