Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 9.44285459461262 -0.474922911650721month[t] -0.151181636688754X1t[t] + 1.09640691366409X2t[t] + 0.193188674870400X3t[t] -0.418873384753806X4t[t] -0.499506180003605X5t[t] -0.0597106309863434X6t[t] -0.595998253799732X7t[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9.442854594612620.89760910.5200
month-0.4749229116507210.067022-7.086100
X1t-0.1511816366887540.140581-1.07540.2839540.141977
X2t1.096406913664090.1534057.147100
X3t0.1931886748704000.1278271.51130.1328530.066426
X4t-0.4188733847538060.042436-9.870700
X5t-0.4995061800036050.047291-10.562400
X6t-0.05971063098634340.111945-0.53340.5945680.297284
X7t-0.5959982537997320.051433-11.58800


Multiple Linear Regression - Regression Statistics
Multiple R0.832845398414658
R-squared0.693631457660471
Adjusted R-squared0.67695833971002
F-TEST (value)41.6017843646172
F-TEST (DF numerator)8
F-TEST (DF denominator)147
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.33591350560788
Sum Squared Residuals262.345739486433


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
122.01308138089387-0.0130813808938687
234.14618457723569-1.14618457723569
331.635846150566281.36415384943372
433.66833622179248-0.668336221792475
533.92033304778847-0.92033304778847
633.91637881603277-0.916378816032772
723.55932844284918-1.55932844284918
834.62386611311509-1.62386611311509
932.750325540790480.249674459209521
1044.29719939436063-0.297199394360632
1132.264544966657170.735455033342833
1234.55421975153688-1.55421975153688
1322.03992709311178-0.0399270931117794
1432.862881420411080.137118579588917
1598.404370013891770.595629986108233
1699.41166402431451-0.411664024314514
1796.71106236656722.2889376334328
1897.6782766441441.32172335585599
1998.622477095644380.377522904355618
2097.1591395661.84086043400000
2199.7153872616963-0.715387261696308
2296.607355478693552.39264452130645
2398.458157096923640.541842903076357
2499.58878889336044-0.58878889336044
2597.984594149277211.01540585072279
2696.486280136544542.51371986345546
2797.981389871014551.01861012898545
2897.055432678126351.94456732187365
2997.500249295237331.49975070476267
3097.172095315870361.82790468412964
3197.284321666272421.71567833372759
3297.868833991393951.13116600860605
3396.966518232461022.03348176753898
3498.852447213324570.147552786675434
35910.5439499009276-1.54394990092764
3697.022567759357931.97743224064207
3797.307963100227681.69203689977232
3897.64714552412931.35285447587069
3998.403467534031020.596532465968982
4096.547644847707212.45235515229279
4193.313100192675485.68689980732452
4212.20097890491235-1.20097890491235
4322.32069329455131-0.320693294551308
4423.76513162386398-1.76513162386398
4532.850413163195990.149586836804005
4643.833691246597280.166308753402724
4734.24890352726165-1.24890352726165
4822.8767058272786-0.8767058272786
4922.62472845331259-0.624728453312588
5033.66142473599033-0.661424735990331
5131.716120262669771.28387973733023
5243.545999716636400.454000283363596
5333.40000596760518-0.400005967605177
5422.66962719006064-0.669627190060639
5521.930393811458360.06960618854164
5622.32818232229398-0.328182322293975
5723.68577019223034-1.68577019223034
5832.850579982759800.149420017240196
5914.17077705769191-3.17077705769191
6052.699398346071052.30060165392895
6123.51057823783091-1.51057823783091
6233.258615157061-0.258615157060998
6343.266896807476540.733103192523465
6443.884719705400470.115280294599528
6522.15269724022827-0.152697240228272
6632.556498359797830.443501640202166
6732.887399133283920.112600866716077
6833.42203267592099-0.422032675920988
6931.602991432406961.39700856759304
7013.60024263698929-2.60024263698929
7132.288806611732780.71119338826722
7231.884725669187281.11527433081272
7334.17011504627022-1.17011504627022
7443.730156787598220.269843212401775
7532.387892953280320.612107046719681
7642.862815864931041.13718413506896
7732.711634228242290.288365771757715
7832.999205059411480.000794940588517722
7922.98113258285137-0.98113258285137
8012.29475006219414-1.29475006219414
8127.11633540462837-5.11633540462837
8233.63339249129577-0.633392491295771
8343.325658718099110.674341281900886
8433.17663065659329-0.176630656593286
8543.96655570864690.0334442913531027
8653.870227991328041.12977200867196
8722.67210340849596-0.672103408495965
8823.59916760852306-1.59916760852306
8943.921656971898850.0783430281011534
9043.214519106541970.785480893458035
9133.26594808711277-0.265948087112771
9244.38835453719319-0.388354537193193
9344.29688353149078-0.296883531490783
9443.316236775709950.683763224290046
9543.870227991328040.129772008671959
9644.74384189367512-0.743841893675125
9726.54252996107965-4.54252996107965
9844.18738370691386-0.187383706913857
9943.987184745244080.0128152547559157
10044.67008877397351-0.670088773973514
10144.23717290050444-0.237172900504440
10244.1597443835173-0.159744383517297
10355.82038917626505-0.820389176265048
10444.74258998208894-0.742589982088943
10542.89366953014641.10633046985360
10644.66883686238733-0.668836862387332
10733.65521713541998-0.655217135419975
10844.71084390056898-0.710843900568978
10944.50575448205668-0.505754482056675
11044.49024960083001-0.490249600830005
11133.60318376824892-0.603183768248916
11234.27935733315491-1.27935733315491
11333.03176878280207-0.0317687828020683
11432.960557929941430.0394420700585694
11543.303861405162560.696138594837436
11632.363657196280950.636342803719051
11732.363657196280950.636342803719051
11843.120314344711990.87968565528801
11933.39779691892162-0.397796918921617
12033.74216723048077-0.74216723048077
12133.53127496280567-0.531274962805673
12233.46043299370045-0.460432993700451
12332.743154870473560.256845129526440
12433.46006410994504-0.460064109945035
12543.056352051154950.943647948845047
12631.182956383277631.81704361672237
12743.653252784815440.346747215184564
12834.27845485329416-1.27845485329416
12946.35633489063803-2.35633489063803
13011.48994020298125-0.489940202981251
13143.460064109945040.539935890054964
13233.26724431883005-0.267244318830050
13342.463702980065171.53629701993483
13442.410284780788701.58971521921130
13544.36365123249414-0.363651232494137
13633.03176878280207-0.0317687828020683
13734.46536890166213-1.46536890166213
13832.326270704425410.673729295574589
13943.640850083080390.359149916919610
14035.03176281901526-2.03176281901526
14132.514838832969700.485161167030297
14233.39779691892162-0.397796918921617
14343.309251357011700.690748642988304
14423.27186486515616-1.27186486515616
14533.18295041949082-0.182950419490822
14634.82549109766627-1.82549109766627
14732.675497727601010.324502272398989
14832.833959561605560.166040438394438
14932.900847298955090.0991527010449129
15042.057339691147741.94266030885226
15132.490255564616820.509744435383182
15244.80846784960512-0.808467849605116
15333.15746467127719-0.157464671277189
15442.556845871151351.44315412884865
15535.36768466059506-2.36768466059506
15632.779974020997680.220025979002319


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.05334342991601430.1066868598320290.946656570083986
130.01743936699813790.03487873399627570.982560633001862
140.02485817119769150.04971634239538290.975141828802308
150.008727142040480260.01745428408096050.99127285795952
160.005563781374947840.01112756274989570.994436218625052
170.006262212425308340.01252442485061670.993737787574692
180.002775563080306080.005551126160612160.997224436919694
190.001228796757972830.002457593515945660.998771203242027
200.0004640898246372810.0009281796492745630.999535910175363
210.002041521255631250.00408304251126250.997958478744369
220.01036389802192500.02072779604384990.989636101978075
230.008635672390980220.01727134478196040.99136432760902
240.006109235029060980.01221847005812200.993890764970939
250.00338207399066980.00676414798133960.99661792600933
260.003057389913616260.006114779827232510.996942610086384
270.002384121813441040.004768243626882080.997615878186559
280.002055045021862140.004110090043724280.997944954978138
290.001176770983002740.002353541966005480.998823229016997
300.0008223643939242120.001644728787848420.999177635606076
310.0005492792153540250.001098558430708050.999450720784646
320.0005087984983704510.001017596996740900.99949120150163
330.0006137396096545130.001227479219309030.999386260390346
340.0005829678747043280.001165935749408660.999417032125296
350.0007642252926387970.001528450585277590.999235774707361
360.0007904624863408080.001580924972681620.99920953751366
370.0008621939558745830.001724387911749170.999137806044125
380.001369135882643560.002738271765287120.998630864117356
390.003075876984335120.006151753968670240.996924123015665
400.03265897314644250.0653179462928850.967341026853557
410.4008681663014730.8017363326029460.599131833698527
420.9997538086348280.0004923827303445920.000246191365172296
430.999983151709673.36965806609238e-051.68482903304619e-05
440.99999609919387.80161240151947e-063.90080620075973e-06
450.9999948055925541.03888148924719e-055.19440744623593e-06
460.9999935072662131.29854675744658e-056.4927337872329e-06
470.9999959869042388.02619152315625e-064.01309576157812e-06
480.9999929004828031.41990343938368e-057.09951719691839e-06
490.9999930204611361.39590777280158e-056.97953886400791e-06
500.9999886451511322.2709697736734e-051.1354848868367e-05
510.9999844732580573.10534838870089e-051.55267419435045e-05
520.9999936195519841.27608960323095e-056.38044801615475e-06
530.9999914881092071.70237815854708e-058.5118907927354e-06
540.9999896296102232.07407795542818e-051.03703897771409e-05
550.9999894398511552.11202976903845e-051.05601488451922e-05
560.9999858643930792.82712138424194e-051.41356069212097e-05
570.9999824321792253.51356415501308e-051.75678207750654e-05
580.9999716215034535.67569930943644e-052.83784965471822e-05
590.999989529849472.09403010613926e-051.04701505306963e-05
600.9999984491876763.10162464780139e-061.55081232390069e-06
610.9999984464892433.10702151421813e-061.55351075710907e-06
620.9999976191039054.76179219081849e-062.38089609540924e-06
630.9999985123253862.97534922826259e-061.48767461413130e-06
640.999998356085673.28782865935373e-061.64391432967686e-06
650.9999978598326944.28033461108889e-062.14016730554445e-06
660.999996186335857.62732829980064e-063.81366414990032e-06
670.9999965705743226.8588513560866e-063.4294256780433e-06
680.9999950155236959.9689526109255e-064.98447630546275e-06
690.999991953554941.60928901209039e-058.04644506045194e-06
700.9999964326335687.13473286499744e-063.56736643249872e-06
710.9999941495909051.1700818188996e-055.850409094498e-06
720.9999901387243581.97225512838829e-059.86127564194144e-06
730.9999856576988842.86846022310108e-051.43423011155054e-05
740.9999917267218761.65465562483211e-058.27327812416055e-06
750.9999888143850362.23712299277285e-051.11856149638642e-05
760.9999956074292268.78514154753947e-064.39257077376973e-06
770.9999933590643321.32818713351153e-056.64093566755764e-06
780.9999950081068549.9837862921105e-064.99189314605525e-06
790.9999964492814087.1014371835832e-063.5507185917916e-06
800.9999981957075563.60858488824148e-061.80429244412074e-06
810.9999998606514362.78697127330956e-071.39348563665478e-07
820.9999999989419672.11606596973921e-091.05803298486961e-09
830.9999999993018081.39638399402073e-096.98191997010366e-10
840.9999999994937531.01249390819751e-095.06246954098756e-10
850.9999999990561511.88769707608614e-099.43848538043069e-10
860.9999999995434979.1300640282551e-104.56503201412755e-10
870.9999999998740852.51829922612369e-101.25914961306184e-10
880.9999999999949421.01153259957115e-115.05766299785576e-12
890.9999999999906311.8737570422458e-119.368785211229e-12
900.9999999999799364.0128189918622e-112.0064094959311e-11
910.9999999999865542.6891733364626e-111.3445866682313e-11
920.9999999999660826.783644897242e-113.391822448621e-11
930.999999999925451.49101845592559e-107.45509227962793e-11
940.9999999998185793.62842767286198e-101.81421383643099e-10
950.9999999995882158.23570539624442e-104.11785269812221e-10
960.9999999993316231.33675322488615e-096.68376612443075e-10
970.9999999999991681.66334659404346e-128.31673297021728e-13
980.9999999999977874.4265896809772e-122.2132948404886e-12
990.9999999999945711.08570659679548e-115.42853298397742e-12
1000.9999999999852752.94505112022479e-111.47252556011239e-11
1010.9999999999646497.070242064539e-113.5351210322695e-11
1020.9999999999089151.82170985746861e-109.10854928734304e-11
1030.999999999842933.14139099820627e-101.57069549910313e-10
1040.9999999997629264.74147656508791e-102.37073828254395e-10
1050.9999999998081163.83767621414964e-101.91883810707482e-10
1060.9999999995526178.94765236496539e-104.47382618248269e-10
1070.9999999994765181.04696378805167e-095.23481894025837e-10
1080.9999999990789111.84217760803723e-099.21088804018616e-10
1090.9999999978488464.30230815310365e-092.15115407655182e-09
1100.99999999973125.37600013387153e-102.68800006693576e-10
1110.9999999994276451.14471035885304e-095.72355179426518e-10
1120.9999999986869352.62613036374892e-091.31306518187446e-09
1130.9999999972379375.52412592831873e-092.76206296415936e-09
1140.9999999940940881.18118235505390e-085.90591177526948e-09
1150.9999999875782422.48435154251054e-081.24217577125527e-08
1160.999999975174824.96503611386481e-082.48251805693241e-08
1170.9999999527677679.44644669506648e-084.72322334753324e-08
1180.999999941790431.16419141759578e-075.82095708797889e-08
1190.999999874424662.5115068053868e-071.2557534026934e-07
1200.9999996941144356.11771130662753e-073.05885565331376e-07
1210.9999995319168089.36166383230297e-074.68083191615148e-07
1220.9999988954606152.20907877075577e-061.10453938537788e-06
1230.9999975651082534.86978349488229e-062.43489174744114e-06
1240.9999959293831458.141233710448e-064.070616855224e-06
1250.9999905356833381.89286333234370e-059.46431666171852e-06
1260.9999846193828943.07612342119976e-051.53806171059988e-05
1270.9999685249507326.29500985360561e-053.14750492680280e-05
1280.999938886650440.0001222266991187166.1113349559358e-05
1290.9998956453241980.0002087093516050830.000104354675802541
1300.9999530669557069.3866088587614e-054.6933044293807e-05
1310.9999209310484320.0001581379031367497.90689515683743e-05
1320.9998173162872870.000365367425425990.000182683712712995
1330.9997210449295320.0005579101409356940.000278955070467847
1340.9997193688407760.0005612623184486830.000280631159224341
1350.9997328288949650.0005343422100708150.000267171105035408
1360.9994082662834130.001183467433173650.000591733716586824
1370.9989731955122650.002053608975469970.00102680448773499
1380.9986928651037730.002614269792454570.00130713489622729
1390.9975923133808870.004815373238226320.00240768661911316
1400.9942141465046980.01157170699060500.00578585349530252
1410.987501115208780.02499776958243880.0124988847912194
1420.9683165192426130.06336696151477360.0316834807573868
1430.9244682364261220.1510635271477550.0755317635738777
1440.8800283608133490.2399432783733030.119971639186651


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1170.8796992481203NOK
5% type I error level1270.954887218045113NOK
10% type I error level1290.969924812030075NOK