Multiple Linear Regression - Estimated Regression Equation
acceleration [t] = + 17.2587244715863 -0.184751272787248cylinders[t] -0.00730185636427856engine.displacement[t] -0.0732603848551417horsepower[t] + 0.00278578297645537weight[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)17.25872447158630.76421222.583700
cylinders-0.1847512727872480.206326-0.89540.3714720.185736
engine.displacement-0.007301856364278560.004611-1.58350.1146530.057326
horsepower-0.07326038485514170.006727-10.891100
weight0.002785782976455370.000367.747500


Multiple Linear Regression - Regression Statistics
Multiple R0.768262915498146
R-squared0.590227907329712
Adjusted R-squared0.583253063199153
F-TEST (value)84.6223795516537
F-TEST (DF numerator)4
F-TEST (DF denominator)235
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.70721080842101
Sum Squared Residuals684.923654931535


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
111.511.42499759274230.075002407257699
21112.0416165442772-1.0416165442772
310.512.9272652733510-2.42726527335098
41010.2357456084876-0.235745608487573
58.58.82921093962588-0.329210939625876
6108.301872721949741.69812727805026
71010.4555826215061-0.455582621506065
8811.6303123106384-3.63031231063841
9104.5717093164765.42829068352400
101515.3427502701875-0.342750270187548
1115.515.31865206410990.181347935890127
1220.517.55337337156142.94662662843859
1317.516.78647381105810.713526188941872
1417.515.41682432639542.08317567360458
1512.513.5812104411299-1.08121044112993
161410.25745169063413.74254830936585
171511.07755371939523.9224462806048
1818.512.60402072209215.89597927790786
1914.515.2982431856998-0.798243185699798
201414.9415975215780-0.941597521577975
2115.516.2725857868990-0.772585786898968
2215.516.2898020994213-0.789802099421313
231212.8624616085931-0.862461608593136
241313.8802333087377-0.880233308737719
251213.6270323244600-1.62703232446003
261214.3583288929077-2.35832889290774
271916.93087718717272.06912281282732
281516.1416539870056-1.14165398700557
291415.5129380141841-1.5129380141841
301414.9934866642330-0.993486664233034
3114.516.0620086177704-1.56200861777041
321916.17855578024472.82144421975527
331916.52494220061302.47505779938702
3420.516.17322923039834.32677076960167
351715.86953220445301.13046779554703
3616.515.52965271204280.970347287957169
371213.0435375020627-1.04353750206273
3813.513.9888788448195-0.488878844819479
391313.5114217323741-0.511421732374127
401110.31659038906110.68340961093889
4113.514.4112998692460-0.911299869245975
4212.511.25923094298571.24076905701434
4313.515.5779577119174-2.07795771191736
441415.4313329918005-1.43133299180053
451615.28125188845580.718748111544243
4614.515.6017331265274-1.10173312652737
471817.06350656524830.936493434751694
481616.0004500350638-0.000450035063788784
4914.515.5184114247723-1.01841142477233
501515.9717410293761-0.971741029376135
511311.82620741560811.17379258439192
5211.512.8012873158205-1.30128731582054
5314.514.7990157329544-0.299015732954429
5412.512.9915685392485-0.491568539248457
551214.3066492222024-2.30664922220245
561313.7969930245890-0.796993024588975
571110.00759713866650.992402861333498
58119.767194567565271.23280543243473
5916.515.50938741262750.99061258737249
601816.13051085509971.86948914490026
6116.516.29368924841240.206310751587585
621615.83462647712360.165373522876367
631415.7914715486532-1.79147154865316
6412.512.5714328989381-0.0714328989380675
651514.89969639417010.100303605829915
6619.516.91137670633752.58862329366251
6716.515.47202041769931.02797958230073
6818.515.83691886692022.66308113307978
691414.0660234366972-0.0660234366971941
701313.9738748676861-0.973874867686137
719.57.927662800170421.57233719982958
7215.516.1898948412361-0.689894841236096
731416.2135043782995-2.21350437829946
741111.9385425741483-0.938542574148328
751414.9877351436653-0.98773514366534
761110.24530411359780.754695886402165
7716.516.38621150646180.113788493538204
781615.21170408753310.788295912466914
7916.516.5960161908761-0.0960161908761392
802116.35406010776144.64593989223858
811717.5317596922568-0.531759692256794
821816.32565932929931.6743406707007
831414.8550270930581-0.855027093058085
8414.515.3264010398834-0.82640103988339
851616.2395612323564-0.239561232356403
8615.514.43097035704691.06902964295307
8715.516.5029189251467-1.00291892514674
8814.516.5044301402486-2.00443014024863
891917.02470512787871.97529487212131
9014.516.2878122684843-1.78781226848431
911416.4350437431642-2.43504374316417
921515.4710531141726-0.471053114172592
931616.6059928952756-0.60599289527559
941616.6403582268120-0.640358226812043
9519.517.84750767386911.65249232613093
9611.513.4097412522965-1.90974125229651
971414.9711851732572-0.971185173257158
9813.515.3486170682183-1.84861706821827
992117.28889976966003.71110023033995
1001916.59866606099192.40133393900808
1011918.09175115754530.90824884245471
10213.514.7819925549445-1.28199255494454
1031212.9531102733500-0.953110273350026
1041716.76852882132730.231471178672692
1051615.2479192662270.752080733772994
10613.516.0354592839128-2.53545928391283
10716.516.8538605395975-0.353860539597506
10814.516.1081184673653-1.60811846736530
1091516.2251686758776-1.22516867587762
1101717.4341430108500-0.434143010849979
11113.514.6520768321306-1.15207683213064
11217.516.97293049670290.527069503297121
11316.915.92305107664550.97694892335452
11414.915.9225378982085-1.02253789820852
11515.315.8359140588232-0.535914058823178
1161315.0392694642229-2.03926946422295
11713.915.8069759246468-1.90697592464685
11812.813.8242594532044-1.02425945320443
11914.515.9731426540582-1.47314265405819
12017.617.14653271382420.453467286175763
12122.217.75858993409304.44141006590702
12222.117.43694872647904.66305127352103
12317.717.35215431442460.347845685575438
12416.216.4202893589074-0.220289358907449
12517.816.20160637546251.59839362453748
1261716.31454277275990.68545722724006
12716.416.32027276322800.0797272367719747
12815.716.8731351736911-1.17313517369110
12913.213.4456511644107-0.245651164410682
13016.716.7739497531066-0.0739497531065677
13112.112.2399247247399-0.139924724739879
1321514.83268375499010.167316245009903
1331412.93028131376641.06971868623356
13414.815.8517448498524-1.05174484985241
13518.616.77782433809221.82217566190783
13616.816.18918253881940.610817461180553
13712.513.7397302428347-1.23973024283469
13813.714.3691096839775-0.669109683977464
13916.916.31245429928430.58754570071573
14017.717.2936528719190.406347128081
14111.111.4291066302931-0.32910663029309
14211.412.3735852333534-0.97358523335339
14314.514.37833456494450.121665435055500
14414.515.5015482687247-1.00154826872469
14518.216.62670889063811.57329110936189
14615.816.6521173374653-0.85211733746528
14715.915.50402518990620.395974810093818
14816.416.4327727360717-0.0327727360717458
14914.515.8198675534513-1.31986755345131
15012.814.8205881650780-2.02058816507802
15121.517.87583304286943.62416695713061
15214.415.9833614139184-1.58336141391836
15318.616.53740541087642.06259458912363
15413.213.6071695027887-0.407169502788748
15512.813.3376053983572-0.537605398357211
15618.216.51925429148541.68074570851463
15715.816.7225593745103-0.922559374510269
15817.216.73649627662790.463503723372074
15917.216.80511487580920.394885124190789
16016.717.0150665870381-0.315066587038084
16118.716.53319119360302.16680880639697
16213.212.47219898854750.727801011452502
16313.411.97254686750491.42745313249512
16413.714.5682646296658-0.86826462966585
16516.516.8257936008497-0.325793600849737
16614.714.9518419879868-0.251841987986807
16714.516.4707916355479-1.97079163554795
16817.617.14341675452430.456583245475682
16915.915.71637110721870.183628892781287
17013.614.5498246866626-0.949824686662602
17115.814.71590301146441.08409698853558
17214.916.2120749624477-1.31207496244768
17316.616.7700779413206-0.170077941320628
17418.216.79220394892171.40779605107835
17517.317.10145842414190.198541575858103
17616.615.80888761972460.791112380275368
17715.414.72720469660360.672795303396401
17813.214.1256012672980-0.925601267298019
17915.214.23812080982770.961879190172283
18014.314.10835224254650.191647757453468
1811514.71631816325490.283681836745116
1821416.0309990689781-2.03099906897808
18315.216.6317560960245-1.43175609602454
1841517.2134045190841-2.21340451908414
18524.819.17531800325165.62468199674836
18622.216.81617477709055.38382522290945
18714.916.6142309217072-1.71423092170723
18819.216.76441818632932.43558181367069
1891616.2617449796044-0.261744979604369
19011.313.6911582494031-2.39115824940305
19113.215.9441657202885-2.74416572028846
19214.716.2090669092676-1.50906690926760
19315.516.5817704269635-1.08177042696352
19416.416.7543305469886-0.354330546988576
19518.117.04574276461281.05425723538721
19620.117.1894107107642.91058928923600
19715.816.1924224468856-0.392422446885625
19815.516.5000936398318-1.00009363983178
1991515.6914388311075-0.691438831107534
20015.216.5463884706311-1.34638847063105
20114.415.4884817118950-1.08848171189505
20219.217.01513865421032.18486134578971
20319.918.76105748282121.13894251717876
20413.816.1005031724359-2.30050317243594
20515.316.4674798945579-1.16747989455793
20615.116.1464364778813-1.04643647788132
20715.716.3166960548017-0.616696054801711
20816.416.6038048845593-0.203804884559282
20912.614.4196119606180-1.81961196061796
21012.916.0241888422739-3.12418884227390
21116.416.4264381832341-0.0264381832341449
21216.116.4356239621837-0.335623962183735
21319.416.63905795238882.76094204761118
21417.317.03856540473130.261434595268720
21514.917.3081295091628-2.40812950916282
21616.216.7391386280051-0.539138628005072
21714.216.4326207013449-2.23262070134488
21814.815.6095824710048-0.809582471004822
21920.418.62740585861361.77259414138642
22013.814.4552437440754-0.655243744075418
22115.815.918294545244-0.118294545244007
22217.116.76742760270810.332572397291897
22316.617.932904453631-1.33290445363099
22418.616.60946465822791.99053534177214
2251815.92694782899632.07305217100371
2261616.4141984589776-0.414198458977648
2271816.44282087307401.55717912692603
22815.315.8476062762892-0.547606276289246
22917.616.36153674475541.23846325524456
23014.717.0574090412818-2.35740904128183
23114.515.2138739786151-0.713873978615051
23214.516.386543348408-1.88654334840801
23315.716.4208682147283-0.72086821472831
23416.414.97406936452391.42593063547608
2351716.40913342874780.590866571252236
23613.915.8593667501412-1.95936675014119
23717.317.04176421301190.258235786988129
23815.616.9694008962066-1.36940089620664
23911.615.7734683743929-4.17346837439291
24018.617.16860652636311.43139347363693


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.5974464076232320.8051071847535350.402553592376768
90.4667384944291240.9334769888582470.533261505570876
100.3218997447269420.6437994894538840.678100255273058
110.3508942885469050.7017885770938090.649105711453095
120.2699682612339950.5399365224679910.730031738766004
130.2214927201465260.4429854402930520.778507279853474
140.2006592598243170.4013185196486340.799340740175683
150.3492153127594810.6984306255189620.650784687240519
160.9445527251200530.1108945497598930.0554472748799466
170.9744938438455380.05101231230892360.0255061561544618
180.9965128415859810.006974316828037770.00348715841401889
190.9963117901009580.007376419798083450.00368820989904172
200.9959481776740560.00810364465188730.00405182232594365
210.9941779530175720.01164409396485560.00582204698242778
220.9911134480665260.01777310386694740.0088865519334737
230.987862432802040.02427513439592240.0121375671979612
240.9826477534252940.03470449314941230.0173522465747062
250.9774215450767470.04515690984650660.0225784549232533
260.9751880136675340.04962397266493210.0248119863324660
270.9854982232297460.02900355354050720.0145017767702536
280.980303585264310.03939282947137960.0196964147356898
290.980826941094550.03834611781090110.0191730589054505
300.9787628652811750.042474269437650.021237134718825
310.9776515035956050.04469699280878920.0223484964043946
320.9863357980546150.02732840389076910.0136642019453845
330.9917090820014220.01658183599715610.00829091799857804
340.9980930802846340.003813839430733150.00190691971536657
350.997301980998110.005396038003780310.00269801900189015
360.9962059415261330.007588116947733660.00379405847386683
370.994864668039450.01027066392110060.00513533196055029
380.9926998506715510.01460029865689720.0073001493284486
390.989897337851480.02020532429703890.0101026621485195
400.9867600490150060.02647990196998810.0132399509849940
410.9823366527948240.03532669441035180.0176633472051759
420.9798246784180270.04035064316394540.0201753215819727
430.9913270340316140.01734593193677120.00867296596838558
440.9890596815972370.02188063680552520.0109403184027626
450.9869724407602520.02605511847949510.0130275592397476
460.9869133999820490.02617320003590220.0130866000179511
470.984684565460460.03063086907907810.0153154345395391
480.9797339088089780.04053218238204400.0202660911910220
490.977607257155120.04478548568975850.0223927428448793
500.9745334560200510.05093308795989780.0254665439799489
510.9700836834840180.05983263303196340.0299163165159817
520.9688300387778150.06233992244437070.0311699612221853
530.9603349227997930.07933015440041330.0396650772002066
540.9508857815741460.09822843685170850.0491142184258542
550.9468780525495480.1062438949009050.0531219474504524
560.934746166774820.1305076664503590.0652538332251797
570.9271357246048170.1457285507903660.0728642753951829
580.9247014755015360.1505970489969280.0752985244984638
590.9199867148825340.1600265702349330.0800132851174663
600.940568327203770.1188633455924620.0594316727962309
610.933153038156460.1336939236870810.0668469618435407
620.9189801361422520.1620397277154960.081019863857748
630.9105202108755760.1789595782488480.0894797891244238
640.8935488487781910.2129023024436170.106451151221809
650.8738342211289050.2523315577421890.126165778871095
660.9068052965186430.1863894069627150.0931947034813575
670.8936670585096680.2126658829806630.106332941490332
680.9145567193918260.1708865612163480.0854432806081738
690.9010795926792310.1978408146415380.0989204073207688
700.884438143262580.2311237134748390.115561856737419
710.9102001366808540.1795997266382920.089799863319146
720.897721995202750.20455600959450.10227800479725
730.916461228055750.1670775438885010.0835387719442506
740.9064517889538030.1870964220923940.0935482110461972
750.9029259636711450.194148072657710.097074036328855
760.9069272766553360.1861454466893280.0930727233446642
770.8909091409486550.218181718102690.109090859051345
780.8797731961598840.2404536076802310.120226803840116
790.8589465869112950.2821068261774090.141053413088705
800.9538308364554880.09233832708902430.0461691635445121
810.9478059711621960.1043880576756090.0521940288378043
820.9528257033621350.09434859327573070.0471742966378653
830.9446506512683710.1106986974632570.0553493487316287
840.9356908820081040.1286182359837920.0643091179918961
850.9278538767158540.1442922465682910.0721461232841457
860.9214390576861640.1571218846276710.0785609423138356
870.9157572420540060.1684855158919880.084242757945994
880.9267055429543520.1465889140912960.073294457045648
890.9293071249091020.1413857501817960.070692875090898
900.934807505877260.1303849882454800.0651924941227401
910.9482266535843430.1035466928313140.0517733464156569
920.9396579700335650.120684059932870.060342029966435
930.9300893976199150.139821204760170.069910602380085
940.9197330963315460.1605338073369070.0802669036684537
950.927230616169620.1455387676607610.0727693838303806
960.9228323501797470.1543352996405060.077167649820253
970.9124958393571930.1750083212856140.0875041606428071
980.9164903595721310.1670192808557370.0835096404278687
990.9606478508314680.07870429833706350.0393521491685318
1000.9693065249296550.06138695014069060.0306934750703453
1010.9655562298756620.06888754024867650.0344437701243383
1020.9631270913773740.07374581724525130.0368729086226256
1030.9560743712977970.0878512574044060.043925628702203
1040.9468862889792740.1062274220414530.0531137110207263
1050.93968533114830.1206293377034010.0603146688517003
1060.9531437691405960.09371246171880860.0468562308594043
1070.9441406902646660.1117186194706680.0558593097353342
1080.9465524797703370.1068950404593270.0534475202296633
1090.9422187894158980.1155624211682040.0577812105841018
1100.932802699585910.1343946008281800.0671973004140901
1110.9267277238755220.1465445522489560.0732722761244782
1120.9139970709872340.1720058580255320.0860029290127659
1130.9071059846214080.1857880307571850.0928940153785925
1140.8958290757873840.2083418484252330.104170924212616
1150.880048134272070.2399037314558610.119951865727931
1160.8956501090501620.2086997818996770.104349890949838
1170.9135894952721540.1728210094556920.0864105047278458
1180.9017811682941940.1964376634116130.0982188317058065
1190.8987535503374050.2024928993251900.101246449662595
1200.885796035039170.2284079299216600.114203964960830
1210.9580139816433870.08397203671322560.0419860183566128
1220.9907995570411320.01840088591773650.00920044295886823
1230.9890100861375840.02197982772483160.0109899138624158
1240.9865380761117450.02692384777650940.0134619238882547
1250.986338255723270.02732348855345910.0136617442767295
1260.9838988740377820.03220225192443620.0161011259622181
1270.9800296193132080.03994076137358340.0199703806867917
1280.9790687151592680.04186256968146490.0209312848407325
1290.9738552397558480.05228952048830330.0261447602441516
1300.9738575173022040.05228496539559180.0261424826977959
1310.9679275838497160.06414483230056750.0320724161502837
1320.9613742813929820.07725143721403640.0386257186070182
1330.9604562536300030.07908749273999480.0395437463699974
1340.9546285474670870.09074290506582620.0453714525329131
1350.959018318456060.08196336308787890.0409816815439394
1360.9538146710317390.09237065793652280.0461853289682614
1370.9502370312624440.09952593747511150.0497629687375558
1380.9449326282238950.110134743552210.0550673717761051
1390.934480400342510.1310391993149810.0655195996574905
1400.927391977422440.1452160451551200.0726080225775599
1410.9243114697813210.1513770604373570.0756885302186787
1420.9115704510949180.1768590978101640.0884295489050819
1430.8960917674031650.207816465193670.103908232596835
1440.884081948833120.2318361023337580.115918051166879
1450.8840324232368720.2319351535262550.115967576763128
1460.8701984925645450.2596030148709110.129801507435455
1470.8620681430206840.2758637139586320.137931856979316
1480.8433371927496020.3133256145007960.156662807250398
1490.855604378541950.2887912429160990.144395621458050
1500.8558605792121180.2882788415757630.144139420787882
1510.9260372113420040.1479255773159910.0739627886579956
1520.9193902583822470.1612194832355060.0806097416177529
1530.9348932986647860.1302134026704290.0651067013352143
1540.921577542116230.1568449157675400.0784224578837699
1550.9065110967868480.1869778064263040.0934889032131521
1560.899093081688670.201813836622660.10090691831133
1570.8941793793500380.2116412412999240.105820620649962
1580.8779970507081260.2440058985837480.122002949291874
1590.8571848957226230.2856302085547540.142815104277377
1600.8461142815543120.3077714368913760.153885718445688
1610.8409221247898890.3181557504202220.159077875210111
1620.8457235944272260.3085528111455490.154276405572774
1630.9065439236563120.1869121526873760.0934560763436879
1640.902072636994070.195854726011860.09792736300593
1650.8838628488995470.2322743022009050.116137151100453
1660.8831109787913810.2337780424172370.116889021208619
1670.8858713215818640.2282573568362720.114128678418136
1680.8650878224363980.2698243551272040.134912177563602
1690.841041214635940.3179175707281210.158958785364060
1700.8286286894127210.3427426211745580.171371310587279
1710.8046350005173130.3907299989653740.195364999482687
1720.7844545064350720.4310909871298560.215545493564928
1730.7527949537112040.4944100925775910.247205046288796
1740.7267123960180730.5465752079638540.273287603981927
1750.6905503225775150.618899354844970.309449677422485
1760.6557209615829920.6885580768340160.344279038417008
1770.6180779387148120.7638441225703760.381922061285188
1780.5810124384740150.837975123051970.418987561525985
1790.5543367284667880.8913265430664240.445663271533212
1800.5203467151785940.9593065696428130.479653284821406
1810.4815564332518710.9631128665037430.518443566748129
1820.4717205178858080.9434410357716170.528279482114192
1830.4530038575817880.9060077151635760.546996142418212
1840.5343067483760690.9313865032478620.465693251623931
1850.7240857302588960.5518285394822090.275914269741104
1860.9027158284745770.1945683430508460.097284171525423
1870.897423164339190.2051536713216210.102576835660811
1880.9286946468826060.1426107062347890.0713053531173944
1890.9125402424864350.1749195150271300.0874597575135648
1900.904787282112240.1904254357755210.0952127178877603
1910.9137649052838650.172470189432270.086235094716135
1920.903057900983720.1938841980325610.0969420990162803
1930.885507655603370.2289846887932610.114492344396630
1940.8597284329950140.2805431340099720.140271567004986
1950.8370714300458140.3258571399083710.162928569954186
1960.8898208177455270.2203583645089470.110179182254473
1970.8637686861784840.2724626276430310.136231313821516
1980.8406244427065120.3187511145869760.159375557293488
1990.8076326992140820.3847346015718370.192367300785918
2000.7852722995128660.4294554009742690.214727700487134
2010.7471047991105470.5057904017789060.252895200889453
2020.780316047894210.439367904211580.21968395210579
2030.7448447247018080.5103105505963830.255155275298192
2040.7402197360579550.5195605278840910.259780263942045
2050.7001840115788120.5996319768423760.299815988421188
2060.6577354595948670.6845290808102670.342264540405133
2070.604335411706610.791329176586780.39566458829339
2080.5522335888542130.8955328222915740.447766411145787
2090.5358734131884910.9282531736230190.464126586811509
2100.592318665471430.815362669057140.40768133452857
2110.5352549923290440.9294900153419110.464745007670956
2120.4745710285949080.9491420571898170.525428971405092
2130.6401293173435460.7197413653129080.359870682656454
2140.5983982551185980.8032034897628040.401601744881402
2150.6143647132333380.7712705735333240.385635286766662
2160.5487707107808220.9024585784383570.451229289219178
2170.5523417067602130.8953165864795750.447658293239787
2180.4959966542412390.9919933084824770.504003345758761
2190.444558697669090.889117395338180.55544130233091
2200.4691344463069720.9382688926139440.530865553693028
2210.4100187743326040.8200375486652080.589981225667396
2220.3357256723315510.6714513446631010.66427432766845
2230.4508220294653170.9016440589306340.549177970534683
2240.4098777536516290.8197555073032570.590122246348371
2250.5062859125156650.9874281749686690.493714087484335
2260.4150974229498450.830194845899690.584902577050155
2270.5517443390447760.8965113219104470.448255660955224
2280.480506948336340.961013896672680.51949305166366
2290.598420516225080.803158967549840.40157948377492
2300.5831541081809120.8336917836381760.416845891819088
2310.8657047784103080.2685904431793850.134295221589692
2320.768852904952170.462294190095660.23114709504783


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level60.0266666666666667NOK
5% type I error level390.173333333333333NOK
10% type I error level630.28NOK