Multiple Linear Regression - Estimated Regression Equation
NumberCharacter[t] = + 15854.0259601553 + 0.609252249415251Numberseconds[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)15854.02596015533705.6348734.27843.2e-051.6e-05
Numberseconds0.6092522494152510.04546513.400300


Multiple Linear Regression - Regression Statistics
Multiple R0.725064241157365
R-squared0.525718153805106
Adjusted R-squared0.522790488087853
F-TEST (value)179.569050765291
F-TEST (DF numerator)1
F-TEST (DF denominator)162
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation23145.5640266956
Sum Squared Residuals86786175726.4463


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
19555685593.91244622019962.08755377987
25456569830.1197448499-15265.1197448499
36301661030.68950654551985.31049345445
47977463327.57048684116446.429513159
53125848273.5566560396-17015.5566560396
65249137151.047590714815339.9524092852
791256107060.915454367-15804.9154543666
82280720029.2316253982777.768374602
97741151743.248216459525667.7517835405
104882156714.7465716879-7893.74657168791
115229583214.7824122537-30919.7824122537
126326251267.422209666211994.5777903338
135046650650.2496810085-184.249681008504
146293263371.436648799-439.43664879894
153843957338.6208750891-18899.6208750891
167081791813.159408251-20996.1594082511
1710596582580.550820612423384.4491793876
187379562074.947862043311720.0521379567
198204364439.455842023917603.5441579761
207434963280.65806363611068.3419363639
218220475975.64718470176228.35281529835
225570980149.0250931961-24440.0250931961
233713747186.6506430828-10049.6506430828
247078055883.726503485514896.2734965145
255502760062.5876822247-5035.58768222471
265669965646.9938003649-8947.9938003649
276591174086.355959265-8175.35595926495
285631675730.1185281873-19414.1185281873
292698244262.849098139-17280.849098139
305462886033.1833180486-31405.1833180486
319675091928.30808339064821.69191660943
325300952038.7355574259970.26444257414
336466493727.4299759138-29063.4299759138
343699026711.510296984510278.4897030155
3585224109725.175541059-24501.1755410595
363704855382.9211544662-18334.9211544662
375963599020.6135188335-39385.6135188335
384205156383.9226002554-14332.9226002554
392699843872.3184062638-16874.3184062638
406371781315.1338985769-17598.1338985769
415507178468.0981370594-23397.0981370594
424000144279.9081611226-4278.90816112264
435450675294.5031698554-20788.5031698554
443583838191.0411804666-2353.04118046663
455083849587.71375802831250.28624197169
468699763327.57048684123669.429513159
473303250561.9081048433-17529.9081048433
486170463082.6510825761-1378.65108257611
4911798694938.01419550223047.9858044981
505673360183.8288798583-3450.82887985835
515506465372.830288128-10308.830288128
52595025022.6630616054-19072.6630616054
538460785269.1809972819-662.180997281882
543255131151.74069072281399.25930927718
553170143772.4010373597-12071.4010373597
567117070469.834606736700.165393263974
5710177382269.222921161219503.7770788388
5810165397643.09418290564009.90581709437
598149399133.9344372247-17640.9344372247
605590146768.09434773459132.90565226547
61109104106943.3297702292160.67022977057
62114425105955.1226216788469.87737832211
633631149354.9793987517-13043.9793987517
647002761223.21321736088803.78678263924
657371376799.3562259111-3086.35622591107
664067167948.1395464063-27277.1395464063
678904153887.206882151735153.7931178483
685723166380.5335086609-9149.53350866086
696860859721.40642255228886.59357744783
705915555741.16147712233413.83852287766
715582754585.40995998161241.59004001839
722261830368.8515502242-7750.85155022422
735842560835.7287867327-2410.72878673267
746572454572.615662743911151.3843372561
755697950432.74662796736546.25337203274
767236965446.54981030736922.45018969272
777919487673.2903734745-8479.29037347446
7820231658934.8617685571143381.138231443
794497046618.2182943784-1648.21829437837
804931948659.2133299195659.786670080535
813625247163.499057605-10911.499057605
827574179796.877293034-4055.8772930341
833841756054.3171333218-17637.3171333218
846410262668.35955297371433.64044702626
855662249845.4274595316776.57254046904
861543031179.7662941959-15749.7662941959
877257149540.192082573923030.8079174261
886727167201.196288623269.8037113767945
894346076591.6012088605-33131.6012088605
909950152185.565349534947315.4346504651
912834054388.6214834205-26048.6214834205
927601366378.09649966329634.9035003368
933736146316.6384309178-8955.63843091783
944820458169.6409432915-9965.64094329153
957616867072.64406399669095.35593600341
968516862276.001104350322891.9988956497
9712541085695.048319623139714.9516803769
98123328100757.59168191622570.4083180836
998303882898.5804948071139.419505192856
100120087110360.016384959726.98361504984
1019193966459.127048835425479.8729511646
10210364693303.390410320810342.6095896792
1032946743668.2189027097-14201.2189027097
1044375027813.647616176715936.3523838233
1053449756813.4454360932-22316.4454360932
1066647768286.2745448318-1809.27454483177
1077118169470.05166544561710.9483345544
1087448274229.5302378775252.469762122462
10917494967944.4840329098107004.51596709
1104676532437.872189238414327.1278107616
1119025782799.88163040197457.11836959813
1125137060072.9449704648-8702.94497046477
113116819412.6683489898-18244.6683489898
1145136057507.9930004266-6147.99300042657
1152516230847.7238182646-5685.72381826461
1162106734737.799430781-13670.799430781
11758233107645.188361556-49412.1883615558
11885519888.4943557831-19033.4943557831
1198590372937.306216867812965.6937831322
1201411623868.7393012129-9752.73930121291
1215763784034.2266877172-26397.2266877172
1229413750916.49291400343220.507085997
1236214725818.955751591136328.0442484089
1246283240330.125828163622501.8741718364
125877324373.2001637287-15600.2001637287
1266378547727.666640563516057.3333594365
1276519676526.411218173-11330.411218173
1287308768414.82676945844672.17323054162
1297263195673.3816605461-23042.3816605461
1308628195223.7535004777-8942.75350047767
131162365112756.205481949608.7945180997
1325653062465.4785539185-5935.47855391846
1333560645795.7277576678-10189.7277576678
1347011156307.156816829113803.8431831709
1359204693561.7133640729-1515.71336407286
1366398919998.159760677843990.8402393222
13710491176480.108047217528430.8919527825
1384344842116.45342344911331.54657655091
1396002981837.8723285752-21808.8723285752
1403865054947.9150483837-16297.9150483837
1414726121080.801007888726180.1989921113
1427358675445.5977277104-1859.59772771038
1438304267253.591982072915788.4080179271
1443723822495.484731030914742.5152689691
1456395871506.7819352408-7548.78193524078
1467895636361.456675472642594.5433245274
1479951872900.751081902926617.2489180971
14811143682474.540929214128961.4590707859
149015854.0259601553-15854.0259601553
150602320699.4090997548-14676.4090997548
151015854.0259601553-15854.0259601553
152015854.0259601553-15854.0259601553
153015854.0259601553-15854.0259601553
154015854.0259601553-15854.0259601553
1554256454564.6953835015-12000.6953835015
1563888581824.468779088-42939.4687790881
157015854.0259601553-15854.0259601553
158015854.0259601553-15854.0259601553
159164418440.301758923-16796.301758923
160617928958.4325928279-22779.4325928279
161392620526.9907131703-16600.9907131703
1622323822337.079146183900.920853817027
163015854.0259601553-15854.0259601553
1644928840981.41648278858306.58351721152


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.2639984178809310.5279968357618620.736001582119069
60.2680800249604170.5361600499208340.731919975039583
70.1839999663352270.3679999326704540.816000033664773
80.1069638591769680.2139277183539350.893036140823032
90.1353307565532620.2706615131065240.864669243446738
100.09398276435668510.187965528713370.906017235643315
110.1336704237695780.2673408475391570.866329576230422
120.09425397626571730.1885079525314350.905746023734283
130.05846330056896070.1169266011379210.94153669943104
140.03450430006239960.06900860012479920.9654956999376
150.03483120657176130.06966241314352250.965168793428239
160.02375338690479510.04750677380959010.976246613095205
170.05098043576345350.1019608715269070.949019564236547
180.03854845868447590.07709691736895190.961451541315524
190.03549078393599180.07098156787198360.964509216064008
200.02548547838118490.05097095676236980.974514521618815
210.01719280875264840.03438561750529690.982807191247352
220.01883161444671720.03766322889343440.981168385553283
230.01519560328549090.03039120657098180.984804396714509
240.01168505199977250.02337010399954510.988314948000227
250.007547671011790610.01509534202358120.99245232898821
260.005024362471219230.01004872494243850.99497563752878
270.003110883749851070.006221767499702130.996889116250149
280.002631212404968830.005262424809937670.997368787595031
290.002918240872828190.005836481745656370.997081759127172
300.003860992873443960.007721985746887920.996139007126556
310.003099488288721970.006198976577443940.996900511711278
320.001877681350262510.003755362700525020.998122318649737
330.001922562778624060.003845125557248130.998077437221376
340.001174871630477280.002349743260954560.998825128369523
350.000824458986424490.001648917972848980.999175541013576
360.0007901083873714630.001580216774742930.999209891612629
370.001243049709312370.002486099418624740.998756950290688
380.000964031608907360.001928063217814720.999035968391093
390.00096414609950970.00192829219901940.99903585390049
400.0006636352566684460.001327270513336890.999336364743332
410.0005577814403742440.001115562880748490.999442218559626
420.0003503455262554850.000700691052510970.999649654473745
430.0002715015575560480.0005430031151120970.999728498442444
440.0001667068385614670.0003334136771229340.999833293161439
459.7294527905915e-050.000194589055811830.999902705472094
460.0001836993813569440.0003673987627138880.999816300618643
470.0001653631822402810.0003307263644805620.99983463681776
489.9613569634435e-050.000199227139268870.999900386430366
490.0003284252916017410.0006568505832034820.999671574708398
500.0002018193926742070.0004036387853484130.999798180607326
510.0001298039870646580.0002596079741293170.999870196012935
520.0001578371465446210.0003156742930892420.999842162853455
530.0001054936912580930.0002109873825161870.999894506308742
546.29060288181525e-050.0001258120576363050.999937093971182
554.45296888405261e-058.90593776810522e-050.99995547031116
562.77940194605338e-055.55880389210676e-050.99997220598054
574.26177869651669e-058.52355739303337e-050.999957382213035
583.18468275966861e-056.36936551933721e-050.999968153172403
592.26647447364174e-054.53294894728349e-050.999977335255264
601.51884217991776e-053.03768435983553e-050.9999848115782
611.10602897843519e-052.21205795687039e-050.999988939710216
629.58986260205134e-061.91797252041027e-050.999990410137398
636.67727597171943e-061.33545519434389e-050.999993322724028
644.60304116950175e-069.2060823390035e-060.99999539695883
652.65789542617724e-065.31579085235448e-060.999997342104574
663.62533671272578e-067.25067342545155e-060.999996374663287
671.32734435340641e-052.65468870681283e-050.999986726556466
688.36573973842066e-061.67314794768413e-050.999991634260262
695.68421663471716e-061.13684332694343e-050.999994315783365
703.3798531462599e-066.75970629251979e-060.999996620146854
711.9418104895513e-063.8836209791026e-060.99999805818951
721.21985937612457e-062.43971875224914e-060.999998780140624
736.85396351068351e-071.3707927021367e-060.999999314603649
744.7339488282679e-079.4678976565358e-070.999999526605117
752.79465300223367e-075.58930600446735e-070.9999997205347
761.72204606594145e-073.4440921318829e-070.999999827795393
779.9984326453925e-081.9996865290785e-070.999999900015674
780.3396088893778790.6792177787557590.66039111062212
790.3000269814830080.6000539629660160.699973018516992
800.2621213977627410.5242427955254820.737878602237259
810.2361829615001970.4723659230003950.763817038499803
820.2049940978997160.4099881957994320.795005902100284
830.1937197974220560.3874395948441120.806280202577944
840.1646434388237440.3292868776474890.835356561176256
850.1398690061325160.2797380122650330.860130993867484
860.1294014419085070.2588028838170150.870598558091493
870.1275267902664070.2550535805328130.872473209733593
880.105808185773970.2116163715479390.89419181422603
890.1311973718539640.2623947437079280.868802628146036
900.2174684439389520.4349368878779050.782531556061048
910.2303885450882240.4607770901764470.769611454911776
920.2025011162764790.4050022325529580.797498883723521
930.1778205287109580.3556410574219150.822179471289042
940.1561580603194280.3123161206388560.843841939680572
950.1339648512858280.2679297025716570.866035148714172
960.1313878871754780.2627757743509550.868612112824522
970.1812659367566650.3625318735133310.818734063243335
980.1790775849784970.3581551699569950.820922415021503
990.1513408888449550.3026817776899090.848659111155045
1000.1307726176966540.2615452353933090.869227382303346
1010.1331916412958260.2663832825916510.866808358704174
1020.1139484886660160.2278969773320310.886051511333984
1030.1010644077959140.2021288155918290.898935592204086
1040.0901029263222790.1802058526445580.909897073677721
1050.08919938623225160.1783987724645030.910800613767748
1060.07218667884072850.1443733576814570.927813321159272
1070.05757744321954970.1151548864390990.94242255678045
1080.0454098338246290.0908196676492580.954590166175371
1090.734356320921120.531287358157760.26564367907888
1100.7115249981532010.5769500036935980.288475001846799
1110.6736773749475180.6526452501049630.326322625052482
1120.6345459459062570.7309081081874860.365454054093743
1130.6151180908661370.7697638182677260.384881909133863
1140.5704050734798390.8591898530403230.429594926520161
1150.5241065841304720.9517868317390570.475893415869528
1160.4903857902357870.9807715804715740.509614209764213
1170.681690155946820.636619688106360.31830984405318
1180.664012927353770.6719741452924610.33598707264623
1190.6276854649007050.7446290701985910.372314535099295
1200.5859755419673960.8280489160652080.414024458032604
1210.6179620152907720.7640759694184570.382037984709228
1220.7307377707068630.5385244585862740.269262229293137
1230.8055560546122490.3888878907755020.194443945387751
1240.8101916213074790.3796167573850420.189808378692521
1250.7849968754956540.4300062490086910.215003124504346
1260.7669961245492940.4660077509014130.233003875450706
1270.7390208077990680.5219583844018650.260979192200933
1280.6928152600812210.6143694798375590.307184739918779
1290.7234985009474050.5530029981051890.276501499052595
1300.7043951475221230.5912097049557540.295604852477877
1310.8111233242611290.3777533514777420.188876675738871
1320.772533274877570.454933450244860.22746672512243
1330.7338575606730050.532284878653990.266142439326995
1340.7015079696433230.5969840607133530.298492030356677
1350.6504380201761580.6991239596476840.349561979823842
1360.8364775107522680.3270449784954650.163522489247732
1370.8565696117909690.2868607764180620.143430388209031
1380.8192355646920550.361528870615890.180764435307945
1390.8283873425612620.3432253148774760.171612657438738
1400.8082108482225980.3835783035548030.191789151777402
1410.8684323968571880.2631352062856240.131567603142812
1420.8312181122946750.337563775410650.168781887705325
1430.8014356535801310.3971286928397370.198564346419869
1440.8128497408184790.3743005183630420.187150259181521
1450.7722753145951460.4554493708097070.227724685404854
1460.9565792342959760.08684153140804880.0434207657040244
1470.9764389094164640.04712218116707170.0235610905835359
1480.9995425636616820.0009148726766351480.000457436338317574
1490.9989683972861760.002063205427647590.00103160271382379
1500.9976535201184580.004692959763084580.00234647988154229
1510.9950173223191280.00996535536174480.0049826776808724
1520.9897924284615870.02041514307682550.0102075715384127
1530.9799058656228370.04018826875432630.0200941343771631
1540.9621648482463050.07567030350739050.0378351517536952
1550.941973763793830.116052472412340.0580262362061698
1560.9901899442138250.01962011157235080.0098100557861754
1570.9728232316411650.05435353671766940.0271767683588347
1580.9302937794228730.1394124411542550.0697062205771274
1590.8365745140611720.3268509718776560.163425485938828


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level550.354838709677419NOK
5% type I error level660.425806451612903NOK
10% type I error level750.483870967741935NOK