Multiple Linear Regression - Estimated Regression Equation
Parameter[t] = + 6.67822358754462 + 1.09089428266741Variable[t] -0.0608903034875088S.D.[t] + 0.214416815593605`T-STAT`[t] -0.142213186036547`2-tail`[t] -0.24081553440865`1-tail`[t] + 0.399817197705633MultipleLinearRegression[t] -0.0160680246338639t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.6782235875446216.6400620.40130.6887420.344371
Variable1.090894282667411.6695450.65340.5144870.257243
S.D.-0.06089030348750880.062235-0.97840.3294440.164722
`T-STAT`0.2144168155936050.111071.93050.0554230.027711
`2-tail`-0.1422131860365470.103898-1.36880.1731020.086551
`1-tail`-0.240815534408650.129923-1.85350.0657590.03288
MultipleLinearRegression0.3998171977056330.0755515.29200
t-0.01606802463386390.006317-2.54380.0119710.005986


Multiple Linear Regression - Regression Statistics
Multiple R0.504343958942387
R-squared0.25436282892168
Adjusted R-squared0.219796867348513
F-TEST (value)7.3587661776242
F-TEST (DF numerator)7
F-TEST (DF denominator)151
p-value1.34744991164837e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.44924263771775
Sum Squared Residuals1796.48849085137


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12623.16215352715712.83784647284294
22324.3738768317413-1.3738768317413
32524.34980128520220.650198714797821
42322.15684697813630.843153021863694
51921.9573213777632-2.95732137776317
62924.06439294277634.93560705722375
72525.8688750865717-0.86887508657174
82123.8254419552097-2.82544195520971
92223.1818231669331-1.18182316693311
102523.61161697260471.38838302739529
112421.51311550474192.48688449525806
121821.0536032368461-3.05360323684612
132219.71789721361062.28210278638941
141521.8876094213482-6.88760942134818
152224.4963026894861-2.49630268948612
162825.15566605047052.84433394952951
172023.3137848280649-3.31378482806494
181220.206493389453-8.20649338945301
192422.4720478472161.52795215278396
202022.5092424378522-2.50924243785224
212124.2860626277986-3.2860626277986
222021.7814215278614-1.78142152786138
232120.34359701932750.656402980672482
242322.16382325627040.836176743729601
252822.89260963608055.10739036391946
262422.80574538969051.19425461030955
272424.2826139653374-0.282613965337373
282421.36873221982932.63126778017065
292322.86422032212650.135779677873502
302323.5020555808545-0.502055580854503
312925.04247658466483.95752341533523
322422.96376232939521.03623767060476
331825.6631423949179-7.66314239491789
342526.6358138675096-1.6358138675096
352123.3298677034299-2.32986770342994
362627.3607837179795-1.36078371797954
372225.8119241141845-3.81192411418451
382223.5019330388059-1.5019330388059
392223.3302833032171-1.33028330321707
402326.1976213889639-3.19762138896394
413023.59164846900516.40835153099488
422323.339579571665-0.339579571664994
431719.4821027501849-2.48210275018491
442324.2907308053963-1.29073080539632
452324.8370583965925-1.8370583965925
462523.0131591483131.98684085168696
472421.41356821509062.58643178490936
482427.8776950808154-3.87769508081536
492323.5405299968907-0.540529996890733
502124.2772206597823-3.27722065978226
512426.1366857961263-2.13668579612633
522422.34843365493561.6515663450644
532822.02518464121475.97481535878531
541621.5169173509197-5.5169173509197
552020.4789198645736-0.478919864573648
562923.85415798399145.1458420160086
572724.2380351219382.76196487806198
582223.4951552848874-1.49515528488743
592824.24661093775943.75338906224063
601620.8090179954004-4.80901799540038
612523.22334779542661.77665220457342
622423.75836878962570.241631210374307
632823.90988628270894.09011371729114
642424.5407734245581-0.540773424558093
652322.90611397204030.0938860279597222
663027.0297797412782.97022025872196
672421.64345290823862.3565470917614
682124.2871449575035-3.28714495750352
692523.4473802754011.55261972459896
702524.10774421259730.892255787402678
712221.06081967312650.93918032687349
722322.63363795128910.366362048710895
732623.01176958948992.98823041051014
742321.83555334415571.16444665584434
752523.14600696198691.85399303801315
762121.4729491641733-0.472949164173296
772523.66268651727531.33731348272467
782422.26581984199731.73418015800268
792923.58101790059895.41898209940106
802223.6571462351028-1.65714623510282
812723.62551803705273.37448196294728
822619.76608686435296.23391313564712
832221.36905684615630.630943153843704
842422.04684442194241.95315557805762
852723.07748635450943.92251364549055
862421.32042913066572.67957086933426
872424.6815444756721-0.681544475672105
882924.2510137100684.74898628993204
892222.1734213910241-0.173421391024074
902120.5329219745410.467078025459013
912420.42304718138723.57695281861276
922421.58601725265892.41398274734108
932321.79007625362251.20992374637753
942022.0992409303702-2.09924093037018
952721.25720040941125.74279959058881
962623.21909180412.78090819589998
972521.80947440374763.1905255962524
982119.98063719193581.0193628080642
992120.57371013494820.426289865051761
1001920.2063592950003-1.20635929500026
1012121.3624295145167-0.362429514516656
1022120.98086637592380.0191336240762447
1031619.5302432228548-3.53024322285476
1042220.39020893145411.60979106854587
1052921.52522582938497.47477417061509
1061521.3920032767024-6.39200327670238
1071720.3933948873818-3.3933948873818
1081519.6598038042491-4.65980380424906
1092121.3291392407309-0.329139240730865
1102120.63219049021050.367809509789468
1111918.93255005385080.0674499461492113
1122417.82946585153746.17053414846261
1132021.8748409742144-1.87484097421436
1141724.5188654204699-7.5188654204699
1152324.2858541101742-1.28585411017424
1162421.80767728693912.19232271306087
1171421.4880741641059-7.48807416410592
1181922.2861213929966-3.28612139299661
1192421.65009006320952.34990993679047
1201319.8964383041808-6.89643830418078
1212224.6721943043691-2.67219430436911
1221620.5376135192885-4.53761351928849
1231922.6285225854727-3.62852258547274
1242522.09488296349732.90511703650273
1252523.48319640784931.51680359215074
1262320.75538692605912.24461307394087
1272422.75909160967811.24090839032194
1282622.77598158612763.22401841387242
1292620.80037066723995.19962933276006
1302523.39515643371431.60484356628568
1311821.5991239299519-3.59912392995193
1322119.18568630267331.81431369732666
1332622.77210814775393.2278918522461
1342321.12866952896751.87133047103249
1352319.04744752692783.95255247307219
1362221.74901385158390.250986148416128
1372021.5223154968376-1.52231549683762
1381321.2268052627589-8.22680526275892
1392420.55617346527473.44382653472531
1401520.7442930612423-5.74429306124235
1411422.2452383177519-8.2452383177519
1422223.1051451975367-1.10514519753668
1431016.9966410249546-6.99664102495459
1442423.40751790512790.592482094872088
1452220.89522557790071.10477442209927
1462424.6919111512327-0.691911151232678
1471920.6777846956121-1.67778469561206
1482021.0671514035548-1.06715140355484
1491316.2728111632552-3.27281116325521
1502019.14991457267730.850085427322731
1512222.1075686181769-0.107568618176906
1522422.26424471480011.73575528519993
1532922.09602517007726.90397482992283
1541219.8635042296644-7.86350422966438
1552019.85814857464110.141851425358917
1562120.27803288387080.72196711612925
1572422.46613689062631.53386310937373
1582220.75087566294911.2491243370509
1592016.81721341458223.18278658541778


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.3549197886053450.709839577210690.645080211394655
120.4719164566980020.9438329133960050.528083543301998
130.4077372273622130.8154744547244270.592262772637786
140.3036743406512410.6073486813024820.696325659348759
150.5008357235950750.998328552809850.499164276404925
160.6004402485757070.7991195028485860.399559751424293
170.5061895913117720.9876208173764560.493810408688228
180.5955634918273280.8088730163453450.404436508172672
190.5904047334324860.8191905331350280.409595266567514
200.5091644093816690.9816711812366620.490835590618331
210.4500813580152640.9001627160305280.549918641984736
220.3747471741177460.7494943482354910.625252825882254
230.3870389998471780.7740779996943560.612961000152822
240.4872748084027210.9745496168054410.512725191597279
250.7001726677181120.5996546645637760.299827332281888
260.6390331318615220.7219337362769560.360966868138478
270.5736397528763110.8527204942473790.426360247123689
280.5579572989444640.8840854021110730.442042701055536
290.4918517531149060.9837035062298120.508148246885094
300.4270967743950210.8541935487900410.572903225604979
310.4263684220418660.8527368440837310.573631577958134
320.363574902249910.727149804499820.63642509775009
330.6185367063515680.7629265872968640.381463293648432
340.581391977051940.837216045896120.41860802294806
350.5447268223119730.9105463553760540.455273177688027
360.4887008817200250.977401763440050.511299118279975
370.4739740734102790.9479481468205580.526025926589721
380.4226611136591910.8453222273183830.577338886340809
390.372538606214630.745077212429260.62746139378537
400.3477060646928810.6954121293857620.652293935307119
410.524496840865870.951006318268260.47550315913413
420.4698436569480270.9396873138960550.530156343051973
430.4360078912459130.8720157824918270.563992108754087
440.387783054411890.7755661088237810.61221694558811
450.3472617260356180.6945234520712360.652738273964382
460.3230958270943180.6461916541886370.676904172905682
470.3014481512429850.602896302485970.698551848757015
480.2968788140391410.5937576280782810.703121185960859
490.2590555129926830.5181110259853660.740944487007317
500.256624033905840.5132480678116790.74337596609416
510.2361128904272420.4722257808544840.763887109572758
520.206391706240350.4127834124806990.79360829375965
530.2777687684555640.5555375369111270.722231231544436
540.3559677413940770.7119354827881540.644032258605923
550.3394362076862970.6788724153725930.660563792313703
560.4016344482217150.803268896443430.598365551778285
570.3779713644651720.7559427289303450.622028635534828
580.3465549066634640.6931098133269290.653445093336536
590.3461664627694190.6923329255388380.653833537230581
600.4234398175223220.8468796350446440.576560182477678
610.3791917105059450.758383421011890.620808289494055
620.3369521344662720.6739042689325440.663047865533728
630.3394454175331240.6788908350662470.660554582466876
640.3052883105343780.6105766210687550.694711689465622
650.2659873424675390.5319746849350780.734012657532461
660.2495279946974870.4990559893949740.750472005302513
670.2213893676464310.4427787352928620.778610632353569
680.2436382092156180.4872764184312360.756361790784382
690.210155767961260.420311535922520.78984423203874
700.1774716906975820.3549433813951640.822528309302418
710.148776901146770.297553802293540.85122309885323
720.1236831082826130.2473662165652260.876316891717387
730.1076579889894920.2153159779789830.892342011010508
740.08754289046573230.1750857809314650.912457109534268
750.07124854544520620.1424970908904120.928751454554794
760.05951155317531720.1190231063506340.940488446824683
770.04714125077915430.09428250155830860.952858749220846
780.03673011863325530.07346023726651050.963269881366745
790.04174200201368180.08348400402736360.958257997986318
800.03824101181685720.07648202363371430.961758988183143
810.03201733480635110.06403466961270230.967982665193649
820.04223284033593980.08446568067187960.95776715966406
830.03295245186569710.06590490373139430.967047548134303
840.02575891058130410.05151782116260820.974241089418696
850.02356509472913480.04713018945826960.976434905270865
860.01859405663974460.03718811327948930.981405943360255
870.0151210998071830.03024219961436610.984878900192817
880.01548032701830720.03096065403661450.984519672981693
890.0129878819700140.0259757639400280.987012118029986
900.009802251923316420.01960450384663280.990197748076684
910.008332817191194040.01666563438238810.991667182808806
920.006784351260456410.01356870252091280.993215648739544
930.00498570699695850.0099714139939170.995014293003041
940.004735011343198910.009470022686397820.9952649886568
950.007017622301945590.01403524460389120.992982377698054
960.005705680702298980.0114113614045980.994294319297701
970.004858297631387390.009716595262774780.995141702368613
980.003709824064891840.007419648129783680.996290175935108
990.002792435160482580.005584870320965160.997207564839517
1000.002312291502123110.004624583004246220.997687708497877
1010.001812016914379980.003624033828759970.99818798308562
1020.001325473903971470.002650947807942930.998674526096029
1030.0016113856524260.0032227713048520.998388614347574
1040.001252669475850970.002505338951701950.998747330524149
1050.005495307817376340.01099061563475270.994504692182624
1060.01312153206325580.02624306412651160.986878467936744
1070.01374202532511010.02748405065022030.98625797467489
1080.01857356976407310.03714713952814610.981426430235927
1090.01438446893145930.02876893786291860.98561553106854
1100.01039184141641690.02078368283283390.989608158583583
1110.007474239515151140.01494847903030230.992525760484849
1120.02186030425490210.04372060850980420.978139695745098
1130.02195896014113740.04391792028227470.978041039858863
1140.054676084978930.109352169957860.94532391502107
1150.04688926585099560.09377853170199120.953110734149004
1160.03935805691945930.07871611383891860.96064194308054
1170.1025239485141660.2050478970283310.897476051485834
1180.096328145671370.192656291342740.90367185432863
1190.08602058769620280.1720411753924060.913979412303797
1200.1491044011898810.2982088023797610.85089559881012
1210.1460654492191740.2921308984383480.853934550780826
1220.1850908034884050.370181606976810.814909196511595
1230.1841339221542560.3682678443085130.815866077845744
1240.1744011046192420.3488022092384840.825598895380758
1250.1509588145727630.3019176291455260.849041185427237
1260.1211508876999490.2423017753998990.878849112300051
1270.09477429155194780.1895485831038960.905225708448052
1280.09242629017886620.1848525803577320.907573709821134
1290.1302268451496470.2604536902992950.869773154850352
1300.1126165170909610.2252330341819220.887383482909039
1310.09419782492921260.1883956498584250.905802175070787
1320.0836187819287560.1672375638575120.916381218071244
1330.08194509887316450.1638901977463290.918054901126836
1340.0729533502478810.1459067004957620.92704664975212
1350.1715120388681580.3430240777363170.828487961131842
1360.1366285669904160.2732571339808330.863371433009584
1370.1142398417889620.2284796835779230.885760158211038
1380.1609553139341110.3219106278682210.83904468606589
1390.391954458218440.783908916436880.60804554178156
1400.3377506037674250.675501207534850.662249396232575
1410.4814081405487280.9628162810974570.518591859451272
1420.390283213132020.780566426264040.60971678686798
1430.5534319600366770.8931360799266450.446568039963323
1440.4997416852793470.9994833705586930.500258314720653
1450.4030767509351620.8061535018703230.596923249064838
1460.2986133808187430.5972267616374870.701386619181257
1470.2901804484839530.5803608969679060.709819551516047
1480.1729023858608620.3458047717217240.827097614139138


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level100.072463768115942NOK
5% type I error level290.210144927536232NOK
10% type I error level390.282608695652174NOK