Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 06 Jun 2010 12:26:40 +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/2010/Jun/06/t12758272189txivpnb7ts4han.htm/, Retrieved Sun, 28 Apr 2024 17:25:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77670, Retrieved Sun, 28 Apr 2024 17:25:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact130
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-06-06 12:26:40] [3c5691dd66ab5929cdba3f011b504b86] [Current]
Feedback Forum

Post a new message
Dataseries X:
15136
16733
20016
17708
18019
19227
22893
23739
21133
22591
26786
29740
15028
17977
20008
21354
19498
22125
25817
28779
20960
22254
27392
29945
16933
17892
20533
23569
22417
22084
26580
27454
24081
23451
28991
31386
16896
20045
23471
21747
25621
23859
25500
30998
24475
23145
29701
34365
17556
22077
25702
22214
26886
23191
27831
35406
23195
25110
30009
36242
18450
21845
26488
22394
28057
25451
24872
33424
24052
28449
33533
37351
19969
21701
26249
24493
24603
26485
30723
34569
26689
26157
32064
38870
21337
19419
23166
28286
24570
24001
33151
24878
26804
28967
33311
40226
20504
23060
23562
27562
23940
24584
34303
25517
23494
29095
32903
34379
16991
21109
23740
25552
21752
20294
29009
25500
24166
26960
31222
38641
14672
17543
25453
32683
22449
22316
27595
25451
25421
25288
32568
35110
16052
22146
21198
19543
22084
23816
29961
26773
26635
26972
30207
38687
16974
21697
24179
23757
25013
24019
30345
24488
25156
25650
30923
37240
17466
19463
24352
26805
25236
24735
29356
31234
22724
28496
32857
37198
13652
22784
23565
26323
23779
27549
29660
23356




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77670&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77670&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77670&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.105758688735590
beta0.252901562163533
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.105758688735590 \tabularnewline
beta & 0.252901562163533 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77670&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]0.105758688735590[/C][/ROW]
[ROW][C]beta[/C][C]0.252901562163533[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77670&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77670&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
alpha0.105758688735590
beta0.252901562163533
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
320016183301686
41770820150.403811591-2442.40381159101
51801921468.8672041317-3449.86720413167
61922722588.5105864599-3361.5105864599
72289323627.5896795422-734.589679542187
82373924924.8407526724-1185.84075267245
92113326142.6509697466-5009.65096974655
102259126822.069214296-4231.06921429602
112678627470.6627925741-684.662792574109
122974028476.00730461651263.99269538354
131502829721.2464940077-14693.2464940077
141797728885.8755211648-10908.8755211648
152000828158.9600108681-8150.96001086813
162135427505.7080702293-6151.70807022935
171949826899.3575021194-7401.35750211938
182212525962.8849620395-3837.88496203946
192581725300.6304707266516.369529273419
202877925112.68732186293666.31267813710
212096025355.9391998904-4395.93919989038
222225424628.9617379726-2374.96173797259
232739224052.19819898343339.80180101664
242994524169.14869273775775.85130726235
251693324698.2166120922-7765.2166120922
261789223587.5062861785-5695.50628617848
272053322543.3507373981-2010.35073739807
282356921835.16248566921733.83751433078
292241721569.3288240807847.671175919346
302208421232.4476415138851.552358486184
312658020918.75300489525661.24699510484
322745421265.14412184516188.8558781549
332408121832.86492883812248.13507116191
342345122043.95009980681407.04990019323
352899122203.71691903046787.28308096957
363138623114.02646662838271.97353337174
371689624402.6015807340-7506.60158073395
382004523821.6796792766-3776.67967927656
392347123534.2163221827-63.216322182714
402174723637.793162665-1890.79316266499
412562123497.51570252742123.48429747262
422385923838.578815386520.421184613464
432550023957.77092708351542.22907291651
443099824279.15673343156718.84326656846
452447525327.7202630050-852.720263005034
462314525552.7178474413-2407.71784744133
472970125548.86281043934152.13718956073
483436526349.82473388058015.17526611954
491755627773.7146854087-10217.7146854087
502207726996.0296138491-4919.02961384907
512570226647.1595169896-945.159516989592
522221426693.2809662264-4479.28096622644
532688626245.8331084042640.166891595793
542319126356.9335909077-3165.93359090773
552783125980.82811537771850.17188462227
563540626184.70506936599221.29493063413
572319527414.7800427328-4219.78004273276
582511027110.4800461699-2000.48004616995
593000926987.38439239443021.61560760560
603624227476.23674510918765.76325489092
611845028807.0364373378-10357.0364373378
622184527838.4190447335-5993.41904473353
632648827170.9888979208-682.988897920768
642239427046.9152918226-4652.91529182262
652805726378.53810215601678.46189784395
662545126424.6521062091-973.652106209138
672487226164.2401881545-1292.24018815447
683342425835.57186153407588.42813846596
692405226649.0755507145-2597.07555071447
702844926315.91094676512133.08905323493
713353326540.05509538576992.9449046143
723735127465.20829007349885.79170992658
731996928960.7158692159-8991.71586921592
742170128219.2657336652-6518.26573366523
752624927565.0634016127-1316.06340161271
762449327425.8390274885-2932.83902748850
772460327037.1832938873-2434.18329388730
782648526636.1587618226-151.158761822597
793072326472.54093711454250.45906288545
803456926888.11750497837680.88249502166
812668927871.9281692378-1182.92816923780
822615727886.6746076956-1729.67460769559
833206427797.33505283184266.66494716819
843887028456.279020912510413.7209790875
852133730043.8585541696-8706.85855416957
861941929376.3923484836-9957.39234848358
872316628310.3455597085-5144.34555970848
882828627615.7268562301670.273143769922
892457027553.9820881668-2983.98208816681
902400127025.9568893690-3024.95688936896
913315126412.69112616436738.30887383574
922487827012.2019794645-2134.20197946448
932680426616.2852056513187.714794348689
942896726470.95202599372496.04797400629
953331126636.50577755376674.49422244627
964022627422.486135939812803.5138640602
972050429199.1132397529-8695.1132397529
982306028469.5095583037-5409.50955830367
992356227942.7013631452-4380.70136314523
1002756227407.5299799715154.470020028504
1012394027356.1239136712-3416.12391367116
1022458426835.7270282541-2251.72702825411
1033430326378.24932899487924.75067100516
1042551727208.9822088981-1691.98220889814
1052349426977.4073637444-3483.40736374444
1062909526463.20465723802631.79534276196
1073290326666.12918339796236.87081660208
1083437927417.13646422666961.86353577337
1091699128431.0237691588-11440.0237691588
1102110927192.7705766478-6083.77057664779
1112374026358.2678998734-2618.26789987343
1122555225820.2426411903-268.242641190329
1132175225523.5784104743-3771.57841047426
1142029424755.5293188553-4461.52931885529
1152900923795.18146222235213.81853777769
1162550023997.53730149441502.46269850560
1172416623847.5706888225318.429311177541
1182696023580.89913922993379.10086077014
1193122223728.29944757767493.70055242236
1203864124511.284967526914129.7150324731
1211467226374.0076316197-11702.0076316197
1221754325191.8129919368-7648.81299193684
1232545324233.69963830181219.30036169824
1243268324246.07838746778436.92161253226
1252244925247.4417369959-2798.44173699589
1262231624985.719164088-2669.71916408799
1272759524666.20437771492928.79562228514
1282545125017.1163162308433.883683769211
1292542125115.7745258777305.225474122319
1302528825208.989736595479.0102634046125
1313256825280.3939742367287.60602576403
1323511026309.08807586408800.91192413595
1331605227733.2213465966-11681.2213465966
1342214626678.7588342230-4532.75883422303
1352119826259.0727390713-5061.07273907133
1361954325648.1466858226-6105.1466858226
1372208424763.5092056757-2679.50920567567
1382381624169.4950598106-353.495059810586
1392996123812.02235108626148.97764891375
1402677324306.70649142442466.29350857559
1412663524477.8795980972157.12040190298
1422697224674.05046433902297.94953566095
1433020724946.57742874685260.42257125317
1443868725673.109746873613013.8902531264
1451697427567.7151450833-10593.7151450833
1462169726682.2659518072-4985.26595180724
1472417926256.6203878581-2077.62038785814
1482375726082.9144542511-2325.91445425109
1492501325820.7391073714-807.739107371366
1502401925697.5197700472-1678.51977004722
1513034525437.3132195314907.686780469
1522448826004.9188665105-1516.91886651054
1532515625852.4943171327-696.494317132703
1542565025768.2079808666-118.207980866635
1553092325741.91879503375181.08120496634
1563724026414.651467949210825.3485320508
1571746627973.8550437266-10507.8550437266
1581946326995.8382428453-7532.83824284528
1592435226130.9779765428-1778.97797654277
1602680525827.0569258444977.943074155562
1612523625840.8608216128-604.860821612812
1622473525671.0915201350-936.091520134974
1632935625441.25448727813914.74551272188
1643123425829.14150631165404.85849368837
1652272426519.1821711696-3795.18217116956
1662849626134.73061638232361.26938361774
1673285726464.5330856316392.46691436901
1683719827391.64607640719806.35392359288
1691365228942.0932946437-15290.0932946437
1702278427429.4161080429-4645.4161080429
1712356526918.2572261389-3353.25722613894
1722632326454.0673527633-131.067352763261
1732377926327.1464573749-2548.14645737492
1742754925876.44435029651672.55564970352
1752966025916.85323616843743.14676383162
1762335626276.3613388152-2920.36133881520

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 20016 & 18330 & 1686 \tabularnewline
4 & 17708 & 20150.403811591 & -2442.40381159101 \tabularnewline
5 & 18019 & 21468.8672041317 & -3449.86720413167 \tabularnewline
6 & 19227 & 22588.5105864599 & -3361.5105864599 \tabularnewline
7 & 22893 & 23627.5896795422 & -734.589679542187 \tabularnewline
8 & 23739 & 24924.8407526724 & -1185.84075267245 \tabularnewline
9 & 21133 & 26142.6509697466 & -5009.65096974655 \tabularnewline
10 & 22591 & 26822.069214296 & -4231.06921429602 \tabularnewline
11 & 26786 & 27470.6627925741 & -684.662792574109 \tabularnewline
12 & 29740 & 28476.0073046165 & 1263.99269538354 \tabularnewline
13 & 15028 & 29721.2464940077 & -14693.2464940077 \tabularnewline
14 & 17977 & 28885.8755211648 & -10908.8755211648 \tabularnewline
15 & 20008 & 28158.9600108681 & -8150.96001086813 \tabularnewline
16 & 21354 & 27505.7080702293 & -6151.70807022935 \tabularnewline
17 & 19498 & 26899.3575021194 & -7401.35750211938 \tabularnewline
18 & 22125 & 25962.8849620395 & -3837.88496203946 \tabularnewline
19 & 25817 & 25300.6304707266 & 516.369529273419 \tabularnewline
20 & 28779 & 25112.6873218629 & 3666.31267813710 \tabularnewline
21 & 20960 & 25355.9391998904 & -4395.93919989038 \tabularnewline
22 & 22254 & 24628.9617379726 & -2374.96173797259 \tabularnewline
23 & 27392 & 24052.1981989834 & 3339.80180101664 \tabularnewline
24 & 29945 & 24169.1486927377 & 5775.85130726235 \tabularnewline
25 & 16933 & 24698.2166120922 & -7765.2166120922 \tabularnewline
26 & 17892 & 23587.5062861785 & -5695.50628617848 \tabularnewline
27 & 20533 & 22543.3507373981 & -2010.35073739807 \tabularnewline
28 & 23569 & 21835.1624856692 & 1733.83751433078 \tabularnewline
29 & 22417 & 21569.3288240807 & 847.671175919346 \tabularnewline
30 & 22084 & 21232.4476415138 & 851.552358486184 \tabularnewline
31 & 26580 & 20918.7530048952 & 5661.24699510484 \tabularnewline
32 & 27454 & 21265.1441218451 & 6188.8558781549 \tabularnewline
33 & 24081 & 21832.8649288381 & 2248.13507116191 \tabularnewline
34 & 23451 & 22043.9500998068 & 1407.04990019323 \tabularnewline
35 & 28991 & 22203.7169190304 & 6787.28308096957 \tabularnewline
36 & 31386 & 23114.0264666283 & 8271.97353337174 \tabularnewline
37 & 16896 & 24402.6015807340 & -7506.60158073395 \tabularnewline
38 & 20045 & 23821.6796792766 & -3776.67967927656 \tabularnewline
39 & 23471 & 23534.2163221827 & -63.216322182714 \tabularnewline
40 & 21747 & 23637.793162665 & -1890.79316266499 \tabularnewline
41 & 25621 & 23497.5157025274 & 2123.48429747262 \tabularnewline
42 & 23859 & 23838.5788153865 & 20.421184613464 \tabularnewline
43 & 25500 & 23957.7709270835 & 1542.22907291651 \tabularnewline
44 & 30998 & 24279.1567334315 & 6718.84326656846 \tabularnewline
45 & 24475 & 25327.7202630050 & -852.720263005034 \tabularnewline
46 & 23145 & 25552.7178474413 & -2407.71784744133 \tabularnewline
47 & 29701 & 25548.8628104393 & 4152.13718956073 \tabularnewline
48 & 34365 & 26349.8247338805 & 8015.17526611954 \tabularnewline
49 & 17556 & 27773.7146854087 & -10217.7146854087 \tabularnewline
50 & 22077 & 26996.0296138491 & -4919.02961384907 \tabularnewline
51 & 25702 & 26647.1595169896 & -945.159516989592 \tabularnewline
52 & 22214 & 26693.2809662264 & -4479.28096622644 \tabularnewline
53 & 26886 & 26245.8331084042 & 640.166891595793 \tabularnewline
54 & 23191 & 26356.9335909077 & -3165.93359090773 \tabularnewline
55 & 27831 & 25980.8281153777 & 1850.17188462227 \tabularnewline
56 & 35406 & 26184.7050693659 & 9221.29493063413 \tabularnewline
57 & 23195 & 27414.7800427328 & -4219.78004273276 \tabularnewline
58 & 25110 & 27110.4800461699 & -2000.48004616995 \tabularnewline
59 & 30009 & 26987.3843923944 & 3021.61560760560 \tabularnewline
60 & 36242 & 27476.2367451091 & 8765.76325489092 \tabularnewline
61 & 18450 & 28807.0364373378 & -10357.0364373378 \tabularnewline
62 & 21845 & 27838.4190447335 & -5993.41904473353 \tabularnewline
63 & 26488 & 27170.9888979208 & -682.988897920768 \tabularnewline
64 & 22394 & 27046.9152918226 & -4652.91529182262 \tabularnewline
65 & 28057 & 26378.5381021560 & 1678.46189784395 \tabularnewline
66 & 25451 & 26424.6521062091 & -973.652106209138 \tabularnewline
67 & 24872 & 26164.2401881545 & -1292.24018815447 \tabularnewline
68 & 33424 & 25835.5718615340 & 7588.42813846596 \tabularnewline
69 & 24052 & 26649.0755507145 & -2597.07555071447 \tabularnewline
70 & 28449 & 26315.9109467651 & 2133.08905323493 \tabularnewline
71 & 33533 & 26540.0550953857 & 6992.9449046143 \tabularnewline
72 & 37351 & 27465.2082900734 & 9885.79170992658 \tabularnewline
73 & 19969 & 28960.7158692159 & -8991.71586921592 \tabularnewline
74 & 21701 & 28219.2657336652 & -6518.26573366523 \tabularnewline
75 & 26249 & 27565.0634016127 & -1316.06340161271 \tabularnewline
76 & 24493 & 27425.8390274885 & -2932.83902748850 \tabularnewline
77 & 24603 & 27037.1832938873 & -2434.18329388730 \tabularnewline
78 & 26485 & 26636.1587618226 & -151.158761822597 \tabularnewline
79 & 30723 & 26472.5409371145 & 4250.45906288545 \tabularnewline
80 & 34569 & 26888.1175049783 & 7680.88249502166 \tabularnewline
81 & 26689 & 27871.9281692378 & -1182.92816923780 \tabularnewline
82 & 26157 & 27886.6746076956 & -1729.67460769559 \tabularnewline
83 & 32064 & 27797.3350528318 & 4266.66494716819 \tabularnewline
84 & 38870 & 28456.2790209125 & 10413.7209790875 \tabularnewline
85 & 21337 & 30043.8585541696 & -8706.85855416957 \tabularnewline
86 & 19419 & 29376.3923484836 & -9957.39234848358 \tabularnewline
87 & 23166 & 28310.3455597085 & -5144.34555970848 \tabularnewline
88 & 28286 & 27615.7268562301 & 670.273143769922 \tabularnewline
89 & 24570 & 27553.9820881668 & -2983.98208816681 \tabularnewline
90 & 24001 & 27025.9568893690 & -3024.95688936896 \tabularnewline
91 & 33151 & 26412.6911261643 & 6738.30887383574 \tabularnewline
92 & 24878 & 27012.2019794645 & -2134.20197946448 \tabularnewline
93 & 26804 & 26616.2852056513 & 187.714794348689 \tabularnewline
94 & 28967 & 26470.9520259937 & 2496.04797400629 \tabularnewline
95 & 33311 & 26636.5057775537 & 6674.49422244627 \tabularnewline
96 & 40226 & 27422.4861359398 & 12803.5138640602 \tabularnewline
97 & 20504 & 29199.1132397529 & -8695.1132397529 \tabularnewline
98 & 23060 & 28469.5095583037 & -5409.50955830367 \tabularnewline
99 & 23562 & 27942.7013631452 & -4380.70136314523 \tabularnewline
100 & 27562 & 27407.5299799715 & 154.470020028504 \tabularnewline
101 & 23940 & 27356.1239136712 & -3416.12391367116 \tabularnewline
102 & 24584 & 26835.7270282541 & -2251.72702825411 \tabularnewline
103 & 34303 & 26378.2493289948 & 7924.75067100516 \tabularnewline
104 & 25517 & 27208.9822088981 & -1691.98220889814 \tabularnewline
105 & 23494 & 26977.4073637444 & -3483.40736374444 \tabularnewline
106 & 29095 & 26463.2046572380 & 2631.79534276196 \tabularnewline
107 & 32903 & 26666.1291833979 & 6236.87081660208 \tabularnewline
108 & 34379 & 27417.1364642266 & 6961.86353577337 \tabularnewline
109 & 16991 & 28431.0237691588 & -11440.0237691588 \tabularnewline
110 & 21109 & 27192.7705766478 & -6083.77057664779 \tabularnewline
111 & 23740 & 26358.2678998734 & -2618.26789987343 \tabularnewline
112 & 25552 & 25820.2426411903 & -268.242641190329 \tabularnewline
113 & 21752 & 25523.5784104743 & -3771.57841047426 \tabularnewline
114 & 20294 & 24755.5293188553 & -4461.52931885529 \tabularnewline
115 & 29009 & 23795.1814622223 & 5213.81853777769 \tabularnewline
116 & 25500 & 23997.5373014944 & 1502.46269850560 \tabularnewline
117 & 24166 & 23847.5706888225 & 318.429311177541 \tabularnewline
118 & 26960 & 23580.8991392299 & 3379.10086077014 \tabularnewline
119 & 31222 & 23728.2994475776 & 7493.70055242236 \tabularnewline
120 & 38641 & 24511.2849675269 & 14129.7150324731 \tabularnewline
121 & 14672 & 26374.0076316197 & -11702.0076316197 \tabularnewline
122 & 17543 & 25191.8129919368 & -7648.81299193684 \tabularnewline
123 & 25453 & 24233.6996383018 & 1219.30036169824 \tabularnewline
124 & 32683 & 24246.0783874677 & 8436.92161253226 \tabularnewline
125 & 22449 & 25247.4417369959 & -2798.44173699589 \tabularnewline
126 & 22316 & 24985.719164088 & -2669.71916408799 \tabularnewline
127 & 27595 & 24666.2043777149 & 2928.79562228514 \tabularnewline
128 & 25451 & 25017.1163162308 & 433.883683769211 \tabularnewline
129 & 25421 & 25115.7745258777 & 305.225474122319 \tabularnewline
130 & 25288 & 25208.9897365954 & 79.0102634046125 \tabularnewline
131 & 32568 & 25280.393974236 & 7287.60602576403 \tabularnewline
132 & 35110 & 26309.0880758640 & 8800.91192413595 \tabularnewline
133 & 16052 & 27733.2213465966 & -11681.2213465966 \tabularnewline
134 & 22146 & 26678.7588342230 & -4532.75883422303 \tabularnewline
135 & 21198 & 26259.0727390713 & -5061.07273907133 \tabularnewline
136 & 19543 & 25648.1466858226 & -6105.1466858226 \tabularnewline
137 & 22084 & 24763.5092056757 & -2679.50920567567 \tabularnewline
138 & 23816 & 24169.4950598106 & -353.495059810586 \tabularnewline
139 & 29961 & 23812.0223510862 & 6148.97764891375 \tabularnewline
140 & 26773 & 24306.7064914244 & 2466.29350857559 \tabularnewline
141 & 26635 & 24477.879598097 & 2157.12040190298 \tabularnewline
142 & 26972 & 24674.0504643390 & 2297.94953566095 \tabularnewline
143 & 30207 & 24946.5774287468 & 5260.42257125317 \tabularnewline
144 & 38687 & 25673.1097468736 & 13013.8902531264 \tabularnewline
145 & 16974 & 27567.7151450833 & -10593.7151450833 \tabularnewline
146 & 21697 & 26682.2659518072 & -4985.26595180724 \tabularnewline
147 & 24179 & 26256.6203878581 & -2077.62038785814 \tabularnewline
148 & 23757 & 26082.9144542511 & -2325.91445425109 \tabularnewline
149 & 25013 & 25820.7391073714 & -807.739107371366 \tabularnewline
150 & 24019 & 25697.5197700472 & -1678.51977004722 \tabularnewline
151 & 30345 & 25437.313219531 & 4907.686780469 \tabularnewline
152 & 24488 & 26004.9188665105 & -1516.91886651054 \tabularnewline
153 & 25156 & 25852.4943171327 & -696.494317132703 \tabularnewline
154 & 25650 & 25768.2079808666 & -118.207980866635 \tabularnewline
155 & 30923 & 25741.9187950337 & 5181.08120496634 \tabularnewline
156 & 37240 & 26414.6514679492 & 10825.3485320508 \tabularnewline
157 & 17466 & 27973.8550437266 & -10507.8550437266 \tabularnewline
158 & 19463 & 26995.8382428453 & -7532.83824284528 \tabularnewline
159 & 24352 & 26130.9779765428 & -1778.97797654277 \tabularnewline
160 & 26805 & 25827.0569258444 & 977.943074155562 \tabularnewline
161 & 25236 & 25840.8608216128 & -604.860821612812 \tabularnewline
162 & 24735 & 25671.0915201350 & -936.091520134974 \tabularnewline
163 & 29356 & 25441.2544872781 & 3914.74551272188 \tabularnewline
164 & 31234 & 25829.1415063116 & 5404.85849368837 \tabularnewline
165 & 22724 & 26519.1821711696 & -3795.18217116956 \tabularnewline
166 & 28496 & 26134.7306163823 & 2361.26938361774 \tabularnewline
167 & 32857 & 26464.533085631 & 6392.46691436901 \tabularnewline
168 & 37198 & 27391.6460764071 & 9806.35392359288 \tabularnewline
169 & 13652 & 28942.0932946437 & -15290.0932946437 \tabularnewline
170 & 22784 & 27429.4161080429 & -4645.4161080429 \tabularnewline
171 & 23565 & 26918.2572261389 & -3353.25722613894 \tabularnewline
172 & 26323 & 26454.0673527633 & -131.067352763261 \tabularnewline
173 & 23779 & 26327.1464573749 & -2548.14645737492 \tabularnewline
174 & 27549 & 25876.4443502965 & 1672.55564970352 \tabularnewline
175 & 29660 & 25916.8532361684 & 3743.14676383162 \tabularnewline
176 & 23356 & 26276.3613388152 & -2920.36133881520 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77670&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]20016[/C][C]18330[/C][C]1686[/C][/ROW]
[ROW][C]4[/C][C]17708[/C][C]20150.403811591[/C][C]-2442.40381159101[/C][/ROW]
[ROW][C]5[/C][C]18019[/C][C]21468.8672041317[/C][C]-3449.86720413167[/C][/ROW]
[ROW][C]6[/C][C]19227[/C][C]22588.5105864599[/C][C]-3361.5105864599[/C][/ROW]
[ROW][C]7[/C][C]22893[/C][C]23627.5896795422[/C][C]-734.589679542187[/C][/ROW]
[ROW][C]8[/C][C]23739[/C][C]24924.8407526724[/C][C]-1185.84075267245[/C][/ROW]
[ROW][C]9[/C][C]21133[/C][C]26142.6509697466[/C][C]-5009.65096974655[/C][/ROW]
[ROW][C]10[/C][C]22591[/C][C]26822.069214296[/C][C]-4231.06921429602[/C][/ROW]
[ROW][C]11[/C][C]26786[/C][C]27470.6627925741[/C][C]-684.662792574109[/C][/ROW]
[ROW][C]12[/C][C]29740[/C][C]28476.0073046165[/C][C]1263.99269538354[/C][/ROW]
[ROW][C]13[/C][C]15028[/C][C]29721.2464940077[/C][C]-14693.2464940077[/C][/ROW]
[ROW][C]14[/C][C]17977[/C][C]28885.8755211648[/C][C]-10908.8755211648[/C][/ROW]
[ROW][C]15[/C][C]20008[/C][C]28158.9600108681[/C][C]-8150.96001086813[/C][/ROW]
[ROW][C]16[/C][C]21354[/C][C]27505.7080702293[/C][C]-6151.70807022935[/C][/ROW]
[ROW][C]17[/C][C]19498[/C][C]26899.3575021194[/C][C]-7401.35750211938[/C][/ROW]
[ROW][C]18[/C][C]22125[/C][C]25962.8849620395[/C][C]-3837.88496203946[/C][/ROW]
[ROW][C]19[/C][C]25817[/C][C]25300.6304707266[/C][C]516.369529273419[/C][/ROW]
[ROW][C]20[/C][C]28779[/C][C]25112.6873218629[/C][C]3666.31267813710[/C][/ROW]
[ROW][C]21[/C][C]20960[/C][C]25355.9391998904[/C][C]-4395.93919989038[/C][/ROW]
[ROW][C]22[/C][C]22254[/C][C]24628.9617379726[/C][C]-2374.96173797259[/C][/ROW]
[ROW][C]23[/C][C]27392[/C][C]24052.1981989834[/C][C]3339.80180101664[/C][/ROW]
[ROW][C]24[/C][C]29945[/C][C]24169.1486927377[/C][C]5775.85130726235[/C][/ROW]
[ROW][C]25[/C][C]16933[/C][C]24698.2166120922[/C][C]-7765.2166120922[/C][/ROW]
[ROW][C]26[/C][C]17892[/C][C]23587.5062861785[/C][C]-5695.50628617848[/C][/ROW]
[ROW][C]27[/C][C]20533[/C][C]22543.3507373981[/C][C]-2010.35073739807[/C][/ROW]
[ROW][C]28[/C][C]23569[/C][C]21835.1624856692[/C][C]1733.83751433078[/C][/ROW]
[ROW][C]29[/C][C]22417[/C][C]21569.3288240807[/C][C]847.671175919346[/C][/ROW]
[ROW][C]30[/C][C]22084[/C][C]21232.4476415138[/C][C]851.552358486184[/C][/ROW]
[ROW][C]31[/C][C]26580[/C][C]20918.7530048952[/C][C]5661.24699510484[/C][/ROW]
[ROW][C]32[/C][C]27454[/C][C]21265.1441218451[/C][C]6188.8558781549[/C][/ROW]
[ROW][C]33[/C][C]24081[/C][C]21832.8649288381[/C][C]2248.13507116191[/C][/ROW]
[ROW][C]34[/C][C]23451[/C][C]22043.9500998068[/C][C]1407.04990019323[/C][/ROW]
[ROW][C]35[/C][C]28991[/C][C]22203.7169190304[/C][C]6787.28308096957[/C][/ROW]
[ROW][C]36[/C][C]31386[/C][C]23114.0264666283[/C][C]8271.97353337174[/C][/ROW]
[ROW][C]37[/C][C]16896[/C][C]24402.6015807340[/C][C]-7506.60158073395[/C][/ROW]
[ROW][C]38[/C][C]20045[/C][C]23821.6796792766[/C][C]-3776.67967927656[/C][/ROW]
[ROW][C]39[/C][C]23471[/C][C]23534.2163221827[/C][C]-63.216322182714[/C][/ROW]
[ROW][C]40[/C][C]21747[/C][C]23637.793162665[/C][C]-1890.79316266499[/C][/ROW]
[ROW][C]41[/C][C]25621[/C][C]23497.5157025274[/C][C]2123.48429747262[/C][/ROW]
[ROW][C]42[/C][C]23859[/C][C]23838.5788153865[/C][C]20.421184613464[/C][/ROW]
[ROW][C]43[/C][C]25500[/C][C]23957.7709270835[/C][C]1542.22907291651[/C][/ROW]
[ROW][C]44[/C][C]30998[/C][C]24279.1567334315[/C][C]6718.84326656846[/C][/ROW]
[ROW][C]45[/C][C]24475[/C][C]25327.7202630050[/C][C]-852.720263005034[/C][/ROW]
[ROW][C]46[/C][C]23145[/C][C]25552.7178474413[/C][C]-2407.71784744133[/C][/ROW]
[ROW][C]47[/C][C]29701[/C][C]25548.8628104393[/C][C]4152.13718956073[/C][/ROW]
[ROW][C]48[/C][C]34365[/C][C]26349.8247338805[/C][C]8015.17526611954[/C][/ROW]
[ROW][C]49[/C][C]17556[/C][C]27773.7146854087[/C][C]-10217.7146854087[/C][/ROW]
[ROW][C]50[/C][C]22077[/C][C]26996.0296138491[/C][C]-4919.02961384907[/C][/ROW]
[ROW][C]51[/C][C]25702[/C][C]26647.1595169896[/C][C]-945.159516989592[/C][/ROW]
[ROW][C]52[/C][C]22214[/C][C]26693.2809662264[/C][C]-4479.28096622644[/C][/ROW]
[ROW][C]53[/C][C]26886[/C][C]26245.8331084042[/C][C]640.166891595793[/C][/ROW]
[ROW][C]54[/C][C]23191[/C][C]26356.9335909077[/C][C]-3165.93359090773[/C][/ROW]
[ROW][C]55[/C][C]27831[/C][C]25980.8281153777[/C][C]1850.17188462227[/C][/ROW]
[ROW][C]56[/C][C]35406[/C][C]26184.7050693659[/C][C]9221.29493063413[/C][/ROW]
[ROW][C]57[/C][C]23195[/C][C]27414.7800427328[/C][C]-4219.78004273276[/C][/ROW]
[ROW][C]58[/C][C]25110[/C][C]27110.4800461699[/C][C]-2000.48004616995[/C][/ROW]
[ROW][C]59[/C][C]30009[/C][C]26987.3843923944[/C][C]3021.61560760560[/C][/ROW]
[ROW][C]60[/C][C]36242[/C][C]27476.2367451091[/C][C]8765.76325489092[/C][/ROW]
[ROW][C]61[/C][C]18450[/C][C]28807.0364373378[/C][C]-10357.0364373378[/C][/ROW]
[ROW][C]62[/C][C]21845[/C][C]27838.4190447335[/C][C]-5993.41904473353[/C][/ROW]
[ROW][C]63[/C][C]26488[/C][C]27170.9888979208[/C][C]-682.988897920768[/C][/ROW]
[ROW][C]64[/C][C]22394[/C][C]27046.9152918226[/C][C]-4652.91529182262[/C][/ROW]
[ROW][C]65[/C][C]28057[/C][C]26378.5381021560[/C][C]1678.46189784395[/C][/ROW]
[ROW][C]66[/C][C]25451[/C][C]26424.6521062091[/C][C]-973.652106209138[/C][/ROW]
[ROW][C]67[/C][C]24872[/C][C]26164.2401881545[/C][C]-1292.24018815447[/C][/ROW]
[ROW][C]68[/C][C]33424[/C][C]25835.5718615340[/C][C]7588.42813846596[/C][/ROW]
[ROW][C]69[/C][C]24052[/C][C]26649.0755507145[/C][C]-2597.07555071447[/C][/ROW]
[ROW][C]70[/C][C]28449[/C][C]26315.9109467651[/C][C]2133.08905323493[/C][/ROW]
[ROW][C]71[/C][C]33533[/C][C]26540.0550953857[/C][C]6992.9449046143[/C][/ROW]
[ROW][C]72[/C][C]37351[/C][C]27465.2082900734[/C][C]9885.79170992658[/C][/ROW]
[ROW][C]73[/C][C]19969[/C][C]28960.7158692159[/C][C]-8991.71586921592[/C][/ROW]
[ROW][C]74[/C][C]21701[/C][C]28219.2657336652[/C][C]-6518.26573366523[/C][/ROW]
[ROW][C]75[/C][C]26249[/C][C]27565.0634016127[/C][C]-1316.06340161271[/C][/ROW]
[ROW][C]76[/C][C]24493[/C][C]27425.8390274885[/C][C]-2932.83902748850[/C][/ROW]
[ROW][C]77[/C][C]24603[/C][C]27037.1832938873[/C][C]-2434.18329388730[/C][/ROW]
[ROW][C]78[/C][C]26485[/C][C]26636.1587618226[/C][C]-151.158761822597[/C][/ROW]
[ROW][C]79[/C][C]30723[/C][C]26472.5409371145[/C][C]4250.45906288545[/C][/ROW]
[ROW][C]80[/C][C]34569[/C][C]26888.1175049783[/C][C]7680.88249502166[/C][/ROW]
[ROW][C]81[/C][C]26689[/C][C]27871.9281692378[/C][C]-1182.92816923780[/C][/ROW]
[ROW][C]82[/C][C]26157[/C][C]27886.6746076956[/C][C]-1729.67460769559[/C][/ROW]
[ROW][C]83[/C][C]32064[/C][C]27797.3350528318[/C][C]4266.66494716819[/C][/ROW]
[ROW][C]84[/C][C]38870[/C][C]28456.2790209125[/C][C]10413.7209790875[/C][/ROW]
[ROW][C]85[/C][C]21337[/C][C]30043.8585541696[/C][C]-8706.85855416957[/C][/ROW]
[ROW][C]86[/C][C]19419[/C][C]29376.3923484836[/C][C]-9957.39234848358[/C][/ROW]
[ROW][C]87[/C][C]23166[/C][C]28310.3455597085[/C][C]-5144.34555970848[/C][/ROW]
[ROW][C]88[/C][C]28286[/C][C]27615.7268562301[/C][C]670.273143769922[/C][/ROW]
[ROW][C]89[/C][C]24570[/C][C]27553.9820881668[/C][C]-2983.98208816681[/C][/ROW]
[ROW][C]90[/C][C]24001[/C][C]27025.9568893690[/C][C]-3024.95688936896[/C][/ROW]
[ROW][C]91[/C][C]33151[/C][C]26412.6911261643[/C][C]6738.30887383574[/C][/ROW]
[ROW][C]92[/C][C]24878[/C][C]27012.2019794645[/C][C]-2134.20197946448[/C][/ROW]
[ROW][C]93[/C][C]26804[/C][C]26616.2852056513[/C][C]187.714794348689[/C][/ROW]
[ROW][C]94[/C][C]28967[/C][C]26470.9520259937[/C][C]2496.04797400629[/C][/ROW]
[ROW][C]95[/C][C]33311[/C][C]26636.5057775537[/C][C]6674.49422244627[/C][/ROW]
[ROW][C]96[/C][C]40226[/C][C]27422.4861359398[/C][C]12803.5138640602[/C][/ROW]
[ROW][C]97[/C][C]20504[/C][C]29199.1132397529[/C][C]-8695.1132397529[/C][/ROW]
[ROW][C]98[/C][C]23060[/C][C]28469.5095583037[/C][C]-5409.50955830367[/C][/ROW]
[ROW][C]99[/C][C]23562[/C][C]27942.7013631452[/C][C]-4380.70136314523[/C][/ROW]
[ROW][C]100[/C][C]27562[/C][C]27407.5299799715[/C][C]154.470020028504[/C][/ROW]
[ROW][C]101[/C][C]23940[/C][C]27356.1239136712[/C][C]-3416.12391367116[/C][/ROW]
[ROW][C]102[/C][C]24584[/C][C]26835.7270282541[/C][C]-2251.72702825411[/C][/ROW]
[ROW][C]103[/C][C]34303[/C][C]26378.2493289948[/C][C]7924.75067100516[/C][/ROW]
[ROW][C]104[/C][C]25517[/C][C]27208.9822088981[/C][C]-1691.98220889814[/C][/ROW]
[ROW][C]105[/C][C]23494[/C][C]26977.4073637444[/C][C]-3483.40736374444[/C][/ROW]
[ROW][C]106[/C][C]29095[/C][C]26463.2046572380[/C][C]2631.79534276196[/C][/ROW]
[ROW][C]107[/C][C]32903[/C][C]26666.1291833979[/C][C]6236.87081660208[/C][/ROW]
[ROW][C]108[/C][C]34379[/C][C]27417.1364642266[/C][C]6961.86353577337[/C][/ROW]
[ROW][C]109[/C][C]16991[/C][C]28431.0237691588[/C][C]-11440.0237691588[/C][/ROW]
[ROW][C]110[/C][C]21109[/C][C]27192.7705766478[/C][C]-6083.77057664779[/C][/ROW]
[ROW][C]111[/C][C]23740[/C][C]26358.2678998734[/C][C]-2618.26789987343[/C][/ROW]
[ROW][C]112[/C][C]25552[/C][C]25820.2426411903[/C][C]-268.242641190329[/C][/ROW]
[ROW][C]113[/C][C]21752[/C][C]25523.5784104743[/C][C]-3771.57841047426[/C][/ROW]
[ROW][C]114[/C][C]20294[/C][C]24755.5293188553[/C][C]-4461.52931885529[/C][/ROW]
[ROW][C]115[/C][C]29009[/C][C]23795.1814622223[/C][C]5213.81853777769[/C][/ROW]
[ROW][C]116[/C][C]25500[/C][C]23997.5373014944[/C][C]1502.46269850560[/C][/ROW]
[ROW][C]117[/C][C]24166[/C][C]23847.5706888225[/C][C]318.429311177541[/C][/ROW]
[ROW][C]118[/C][C]26960[/C][C]23580.8991392299[/C][C]3379.10086077014[/C][/ROW]
[ROW][C]119[/C][C]31222[/C][C]23728.2994475776[/C][C]7493.70055242236[/C][/ROW]
[ROW][C]120[/C][C]38641[/C][C]24511.2849675269[/C][C]14129.7150324731[/C][/ROW]
[ROW][C]121[/C][C]14672[/C][C]26374.0076316197[/C][C]-11702.0076316197[/C][/ROW]
[ROW][C]122[/C][C]17543[/C][C]25191.8129919368[/C][C]-7648.81299193684[/C][/ROW]
[ROW][C]123[/C][C]25453[/C][C]24233.6996383018[/C][C]1219.30036169824[/C][/ROW]
[ROW][C]124[/C][C]32683[/C][C]24246.0783874677[/C][C]8436.92161253226[/C][/ROW]
[ROW][C]125[/C][C]22449[/C][C]25247.4417369959[/C][C]-2798.44173699589[/C][/ROW]
[ROW][C]126[/C][C]22316[/C][C]24985.719164088[/C][C]-2669.71916408799[/C][/ROW]
[ROW][C]127[/C][C]27595[/C][C]24666.2043777149[/C][C]2928.79562228514[/C][/ROW]
[ROW][C]128[/C][C]25451[/C][C]25017.1163162308[/C][C]433.883683769211[/C][/ROW]
[ROW][C]129[/C][C]25421[/C][C]25115.7745258777[/C][C]305.225474122319[/C][/ROW]
[ROW][C]130[/C][C]25288[/C][C]25208.9897365954[/C][C]79.0102634046125[/C][/ROW]
[ROW][C]131[/C][C]32568[/C][C]25280.393974236[/C][C]7287.60602576403[/C][/ROW]
[ROW][C]132[/C][C]35110[/C][C]26309.0880758640[/C][C]8800.91192413595[/C][/ROW]
[ROW][C]133[/C][C]16052[/C][C]27733.2213465966[/C][C]-11681.2213465966[/C][/ROW]
[ROW][C]134[/C][C]22146[/C][C]26678.7588342230[/C][C]-4532.75883422303[/C][/ROW]
[ROW][C]135[/C][C]21198[/C][C]26259.0727390713[/C][C]-5061.07273907133[/C][/ROW]
[ROW][C]136[/C][C]19543[/C][C]25648.1466858226[/C][C]-6105.1466858226[/C][/ROW]
[ROW][C]137[/C][C]22084[/C][C]24763.5092056757[/C][C]-2679.50920567567[/C][/ROW]
[ROW][C]138[/C][C]23816[/C][C]24169.4950598106[/C][C]-353.495059810586[/C][/ROW]
[ROW][C]139[/C][C]29961[/C][C]23812.0223510862[/C][C]6148.97764891375[/C][/ROW]
[ROW][C]140[/C][C]26773[/C][C]24306.7064914244[/C][C]2466.29350857559[/C][/ROW]
[ROW][C]141[/C][C]26635[/C][C]24477.879598097[/C][C]2157.12040190298[/C][/ROW]
[ROW][C]142[/C][C]26972[/C][C]24674.0504643390[/C][C]2297.94953566095[/C][/ROW]
[ROW][C]143[/C][C]30207[/C][C]24946.5774287468[/C][C]5260.42257125317[/C][/ROW]
[ROW][C]144[/C][C]38687[/C][C]25673.1097468736[/C][C]13013.8902531264[/C][/ROW]
[ROW][C]145[/C][C]16974[/C][C]27567.7151450833[/C][C]-10593.7151450833[/C][/ROW]
[ROW][C]146[/C][C]21697[/C][C]26682.2659518072[/C][C]-4985.26595180724[/C][/ROW]
[ROW][C]147[/C][C]24179[/C][C]26256.6203878581[/C][C]-2077.62038785814[/C][/ROW]
[ROW][C]148[/C][C]23757[/C][C]26082.9144542511[/C][C]-2325.91445425109[/C][/ROW]
[ROW][C]149[/C][C]25013[/C][C]25820.7391073714[/C][C]-807.739107371366[/C][/ROW]
[ROW][C]150[/C][C]24019[/C][C]25697.5197700472[/C][C]-1678.51977004722[/C][/ROW]
[ROW][C]151[/C][C]30345[/C][C]25437.313219531[/C][C]4907.686780469[/C][/ROW]
[ROW][C]152[/C][C]24488[/C][C]26004.9188665105[/C][C]-1516.91886651054[/C][/ROW]
[ROW][C]153[/C][C]25156[/C][C]25852.4943171327[/C][C]-696.494317132703[/C][/ROW]
[ROW][C]154[/C][C]25650[/C][C]25768.2079808666[/C][C]-118.207980866635[/C][/ROW]
[ROW][C]155[/C][C]30923[/C][C]25741.9187950337[/C][C]5181.08120496634[/C][/ROW]
[ROW][C]156[/C][C]37240[/C][C]26414.6514679492[/C][C]10825.3485320508[/C][/ROW]
[ROW][C]157[/C][C]17466[/C][C]27973.8550437266[/C][C]-10507.8550437266[/C][/ROW]
[ROW][C]158[/C][C]19463[/C][C]26995.8382428453[/C][C]-7532.83824284528[/C][/ROW]
[ROW][C]159[/C][C]24352[/C][C]26130.9779765428[/C][C]-1778.97797654277[/C][/ROW]
[ROW][C]160[/C][C]26805[/C][C]25827.0569258444[/C][C]977.943074155562[/C][/ROW]
[ROW][C]161[/C][C]25236[/C][C]25840.8608216128[/C][C]-604.860821612812[/C][/ROW]
[ROW][C]162[/C][C]24735[/C][C]25671.0915201350[/C][C]-936.091520134974[/C][/ROW]
[ROW][C]163[/C][C]29356[/C][C]25441.2544872781[/C][C]3914.74551272188[/C][/ROW]
[ROW][C]164[/C][C]31234[/C][C]25829.1415063116[/C][C]5404.85849368837[/C][/ROW]
[ROW][C]165[/C][C]22724[/C][C]26519.1821711696[/C][C]-3795.18217116956[/C][/ROW]
[ROW][C]166[/C][C]28496[/C][C]26134.7306163823[/C][C]2361.26938361774[/C][/ROW]
[ROW][C]167[/C][C]32857[/C][C]26464.533085631[/C][C]6392.46691436901[/C][/ROW]
[ROW][C]168[/C][C]37198[/C][C]27391.6460764071[/C][C]9806.35392359288[/C][/ROW]
[ROW][C]169[/C][C]13652[/C][C]28942.0932946437[/C][C]-15290.0932946437[/C][/ROW]
[ROW][C]170[/C][C]22784[/C][C]27429.4161080429[/C][C]-4645.4161080429[/C][/ROW]
[ROW][C]171[/C][C]23565[/C][C]26918.2572261389[/C][C]-3353.25722613894[/C][/ROW]
[ROW][C]172[/C][C]26323[/C][C]26454.0673527633[/C][C]-131.067352763261[/C][/ROW]
[ROW][C]173[/C][C]23779[/C][C]26327.1464573749[/C][C]-2548.14645737492[/C][/ROW]
[ROW][C]174[/C][C]27549[/C][C]25876.4443502965[/C][C]1672.55564970352[/C][/ROW]
[ROW][C]175[/C][C]29660[/C][C]25916.8532361684[/C][C]3743.14676383162[/C][/ROW]
[ROW][C]176[/C][C]23356[/C][C]26276.3613388152[/C][C]-2920.36133881520[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77670&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77670&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
320016183301686
41770820150.403811591-2442.40381159101
51801921468.8672041317-3449.86720413167
61922722588.5105864599-3361.5105864599
72289323627.5896795422-734.589679542187
82373924924.8407526724-1185.84075267245
92113326142.6509697466-5009.65096974655
102259126822.069214296-4231.06921429602
112678627470.6627925741-684.662792574109
122974028476.00730461651263.99269538354
131502829721.2464940077-14693.2464940077
141797728885.8755211648-10908.8755211648
152000828158.9600108681-8150.96001086813
162135427505.7080702293-6151.70807022935
171949826899.3575021194-7401.35750211938
182212525962.8849620395-3837.88496203946
192581725300.6304707266516.369529273419
202877925112.68732186293666.31267813710
212096025355.9391998904-4395.93919989038
222225424628.9617379726-2374.96173797259
232739224052.19819898343339.80180101664
242994524169.14869273775775.85130726235
251693324698.2166120922-7765.2166120922
261789223587.5062861785-5695.50628617848
272053322543.3507373981-2010.35073739807
282356921835.16248566921733.83751433078
292241721569.3288240807847.671175919346
302208421232.4476415138851.552358486184
312658020918.75300489525661.24699510484
322745421265.14412184516188.8558781549
332408121832.86492883812248.13507116191
342345122043.95009980681407.04990019323
352899122203.71691903046787.28308096957
363138623114.02646662838271.97353337174
371689624402.6015807340-7506.60158073395
382004523821.6796792766-3776.67967927656
392347123534.2163221827-63.216322182714
402174723637.793162665-1890.79316266499
412562123497.51570252742123.48429747262
422385923838.578815386520.421184613464
432550023957.77092708351542.22907291651
443099824279.15673343156718.84326656846
452447525327.7202630050-852.720263005034
462314525552.7178474413-2407.71784744133
472970125548.86281043934152.13718956073
483436526349.82473388058015.17526611954
491755627773.7146854087-10217.7146854087
502207726996.0296138491-4919.02961384907
512570226647.1595169896-945.159516989592
522221426693.2809662264-4479.28096622644
532688626245.8331084042640.166891595793
542319126356.9335909077-3165.93359090773
552783125980.82811537771850.17188462227
563540626184.70506936599221.29493063413
572319527414.7800427328-4219.78004273276
582511027110.4800461699-2000.48004616995
593000926987.38439239443021.61560760560
603624227476.23674510918765.76325489092
611845028807.0364373378-10357.0364373378
622184527838.4190447335-5993.41904473353
632648827170.9888979208-682.988897920768
642239427046.9152918226-4652.91529182262
652805726378.53810215601678.46189784395
662545126424.6521062091-973.652106209138
672487226164.2401881545-1292.24018815447
683342425835.57186153407588.42813846596
692405226649.0755507145-2597.07555071447
702844926315.91094676512133.08905323493
713353326540.05509538576992.9449046143
723735127465.20829007349885.79170992658
731996928960.7158692159-8991.71586921592
742170128219.2657336652-6518.26573366523
752624927565.0634016127-1316.06340161271
762449327425.8390274885-2932.83902748850
772460327037.1832938873-2434.18329388730
782648526636.1587618226-151.158761822597
793072326472.54093711454250.45906288545
803456926888.11750497837680.88249502166
812668927871.9281692378-1182.92816923780
822615727886.6746076956-1729.67460769559
833206427797.33505283184266.66494716819
843887028456.279020912510413.7209790875
852133730043.8585541696-8706.85855416957
861941929376.3923484836-9957.39234848358
872316628310.3455597085-5144.34555970848
882828627615.7268562301670.273143769922
892457027553.9820881668-2983.98208816681
902400127025.9568893690-3024.95688936896
913315126412.69112616436738.30887383574
922487827012.2019794645-2134.20197946448
932680426616.2852056513187.714794348689
942896726470.95202599372496.04797400629
953331126636.50577755376674.49422244627
964022627422.486135939812803.5138640602
972050429199.1132397529-8695.1132397529
982306028469.5095583037-5409.50955830367
992356227942.7013631452-4380.70136314523
1002756227407.5299799715154.470020028504
1012394027356.1239136712-3416.12391367116
1022458426835.7270282541-2251.72702825411
1033430326378.24932899487924.75067100516
1042551727208.9822088981-1691.98220889814
1052349426977.4073637444-3483.40736374444
1062909526463.20465723802631.79534276196
1073290326666.12918339796236.87081660208
1083437927417.13646422666961.86353577337
1091699128431.0237691588-11440.0237691588
1102110927192.7705766478-6083.77057664779
1112374026358.2678998734-2618.26789987343
1122555225820.2426411903-268.242641190329
1132175225523.5784104743-3771.57841047426
1142029424755.5293188553-4461.52931885529
1152900923795.18146222235213.81853777769
1162550023997.53730149441502.46269850560
1172416623847.5706888225318.429311177541
1182696023580.89913922993379.10086077014
1193122223728.29944757767493.70055242236
1203864124511.284967526914129.7150324731
1211467226374.0076316197-11702.0076316197
1221754325191.8129919368-7648.81299193684
1232545324233.69963830181219.30036169824
1243268324246.07838746778436.92161253226
1252244925247.4417369959-2798.44173699589
1262231624985.719164088-2669.71916408799
1272759524666.20437771492928.79562228514
1282545125017.1163162308433.883683769211
1292542125115.7745258777305.225474122319
1302528825208.989736595479.0102634046125
1313256825280.3939742367287.60602576403
1323511026309.08807586408800.91192413595
1331605227733.2213465966-11681.2213465966
1342214626678.7588342230-4532.75883422303
1352119826259.0727390713-5061.07273907133
1361954325648.1466858226-6105.1466858226
1372208424763.5092056757-2679.50920567567
1382381624169.4950598106-353.495059810586
1392996123812.02235108626148.97764891375
1402677324306.70649142442466.29350857559
1412663524477.8795980972157.12040190298
1422697224674.05046433902297.94953566095
1433020724946.57742874685260.42257125317
1443868725673.109746873613013.8902531264
1451697427567.7151450833-10593.7151450833
1462169726682.2659518072-4985.26595180724
1472417926256.6203878581-2077.62038785814
1482375726082.9144542511-2325.91445425109
1492501325820.7391073714-807.739107371366
1502401925697.5197700472-1678.51977004722
1513034525437.3132195314907.686780469
1522448826004.9188665105-1516.91886651054
1532515625852.4943171327-696.494317132703
1542565025768.2079808666-118.207980866635
1553092325741.91879503375181.08120496634
1563724026414.651467949210825.3485320508
1571746627973.8550437266-10507.8550437266
1581946326995.8382428453-7532.83824284528
1592435226130.9779765428-1778.97797654277
1602680525827.0569258444977.943074155562
1612523625840.8608216128-604.860821612812
1622473525671.0915201350-936.091520134974
1632935625441.25448727813914.74551272188
1643123425829.14150631165404.85849368837
1652272426519.1821711696-3795.18217116956
1662849626134.73061638232361.26938361774
1673285726464.5330856316392.46691436901
1683719827391.64607640719806.35392359288
1691365228942.0932946437-15290.0932946437
1702278427429.4161080429-4645.4161080429
1712356526918.2572261389-3353.25722613894
1722632326454.0673527633-131.067352763261
1732377926327.1464573749-2548.14645737492
1742754925876.44435029651672.55564970352
1752966025916.85323616843743.14676383162
1762335626276.3613388152-2920.36133881520







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
17725853.036007811614859.919289310036846.1527263133
17825738.564262635214649.360906990136827.7676182804
17925624.092517458914397.548622938436850.6364119793
18025509.620772282514098.394275956836920.8472686081
18125395.149027106113746.726697321837043.5713568904
18225280.677281929713338.435013874437222.9195499851
18325166.205536753312870.547046709337461.8640267973
18425051.733791576912341.232250598237762.2353325557
18524937.262046400611749.731942061938124.7921507393
18624822.790301224211096.231194942138549.3494075062
18724708.318556047810381.693759359439034.9433527362
18824593.84681087149607.6827099766539580.0109117662

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
177 & 25853.0360078116 & 14859.9192893100 & 36846.1527263133 \tabularnewline
178 & 25738.5642626352 & 14649.3609069901 & 36827.7676182804 \tabularnewline
179 & 25624.0925174589 & 14397.5486229384 & 36850.6364119793 \tabularnewline
180 & 25509.6207722825 & 14098.3942759568 & 36920.8472686081 \tabularnewline
181 & 25395.1490271061 & 13746.7266973218 & 37043.5713568904 \tabularnewline
182 & 25280.6772819297 & 13338.4350138744 & 37222.9195499851 \tabularnewline
183 & 25166.2055367533 & 12870.5470467093 & 37461.8640267973 \tabularnewline
184 & 25051.7337915769 & 12341.2322505982 & 37762.2353325557 \tabularnewline
185 & 24937.2620464006 & 11749.7319420619 & 38124.7921507393 \tabularnewline
186 & 24822.7903012242 & 11096.2311949421 & 38549.3494075062 \tabularnewline
187 & 24708.3185560478 & 10381.6937593594 & 39034.9433527362 \tabularnewline
188 & 24593.8468108714 & 9607.68270997665 & 39580.0109117662 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77670&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]177[/C][C]25853.0360078116[/C][C]14859.9192893100[/C][C]36846.1527263133[/C][/ROW]
[ROW][C]178[/C][C]25738.5642626352[/C][C]14649.3609069901[/C][C]36827.7676182804[/C][/ROW]
[ROW][C]179[/C][C]25624.0925174589[/C][C]14397.5486229384[/C][C]36850.6364119793[/C][/ROW]
[ROW][C]180[/C][C]25509.6207722825[/C][C]14098.3942759568[/C][C]36920.8472686081[/C][/ROW]
[ROW][C]181[/C][C]25395.1490271061[/C][C]13746.7266973218[/C][C]37043.5713568904[/C][/ROW]
[ROW][C]182[/C][C]25280.6772819297[/C][C]13338.4350138744[/C][C]37222.9195499851[/C][/ROW]
[ROW][C]183[/C][C]25166.2055367533[/C][C]12870.5470467093[/C][C]37461.8640267973[/C][/ROW]
[ROW][C]184[/C][C]25051.7337915769[/C][C]12341.2322505982[/C][C]37762.2353325557[/C][/ROW]
[ROW][C]185[/C][C]24937.2620464006[/C][C]11749.7319420619[/C][C]38124.7921507393[/C][/ROW]
[ROW][C]186[/C][C]24822.7903012242[/C][C]11096.2311949421[/C][C]38549.3494075062[/C][/ROW]
[ROW][C]187[/C][C]24708.3185560478[/C][C]10381.6937593594[/C][C]39034.9433527362[/C][/ROW]
[ROW][C]188[/C][C]24593.8468108714[/C][C]9607.68270997665[/C][C]39580.0109117662[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77670&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77670&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
17725853.036007811614859.919289310036846.1527263133
17825738.564262635214649.360906990136827.7676182804
17925624.092517458914397.548622938436850.6364119793
18025509.620772282514098.394275956836920.8472686081
18125395.149027106113746.726697321837043.5713568904
18225280.677281929713338.435013874437222.9195499851
18325166.205536753312870.547046709337461.8640267973
18425051.733791576912341.232250598237762.2353325557
18524937.262046400611749.731942061938124.7921507393
18624822.790301224211096.231194942138549.3494075062
18724708.318556047810381.693759359439034.9433527362
18824593.84681087149607.6827099766539580.0109117662



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