Multiple Linear Regression - Estimated Regression Equation
olie[t] = -0.0541370250440066 + 0.879652544184293benzine[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.05413702504400660.02054-2.63570.0107980.005399
benzine0.8796525441842930.03326426.444200


Multiple Linear Regression - Regression Statistics
Multiple R0.961578230829939
R-squared0.924632694006035
Adjusted R-squared0.923310460567544
F-TEST (value)699.296105430171
F-TEST (DF numerator)1
F-TEST (DF denominator)57
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0344242198136767
Sum Squared Residuals0.0675465338574791


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10.3972327040.3893913553845520.00784134861544753
20.3827672960.3487172271843280.034050068815672
30.3960377360.394418070031920.00161966596808033
40.4417610060.47947975501737-0.0377187490173697
50.4452201260.496710973142141-0.051490847142141
60.4384905660.497080806340945-0.0585902403409449
70.4674842770.541151363618476-0.0736670866184763
80.4657861640.485193304130542-0.0194071401305421
90.4020754720.37356399410740.0285114778926001
100.3761635220.3439320360970590.0322314859029412
110.375911950.3567931817259920.0191187682740080
120.3929559750.3809606624817420.0119953125182585
130.344905660.3369278440576610.00797781594233914
140.3685534590.3670956837589620.00145777524103854
150.3908805030.424797243618003-0.0339167406180029
160.4248427670.498462020932077-0.0736192539320773
170.4268553460.537498315263759-0.110642969263759
180.4423270440.520018025280407-0.0776909812804069
190.4748427670.513617643460735-0.0387748764607355
200.4476100630.452836654032082-0.00522659103208164
210.4807547170.489782257050339-0.00902754005033924
220.5160377360.5087494281273890.00728830787261142
230.5806289310.586693706272394-0.00606477527239415
240.5735220130.5569183429060370.0166036700939627
250.5788679250.5526237472374480.0262441777625519
260.5935849060.572390964942390.0211939410576094
270.6459748430.6146953787126750.0312794642873251
280.6905031450.682850393379530.00765275162046947
290.7822012580.7436087396720450.0385925183279554
300.8390566040.8044199196556670.0346366843443327
310.8474842770.792147488529150.0553367884708501
320.7268553460.6826541552120590.0442011907879414
330.6355345910.6211184045481390.0144161864518613
340.4709433960.4560670354968860.0148763605031137
350.3461635220.2869399520806560.0592235699193437
360.2723270440.2372690604909990.0350579835090006
370.2867924530.2495641347536570.0372283182463432
380.276729560.280282950983575-0.00355339098357503
390.2974213840.297582097637113-0.000160713637113282
400.3216981130.3203683638017310.00132974919826951
410.3655974840.406962216153158-0.0413647321531577
420.4352201260.471116991522979-0.0358968655229794
430.4128930820.42218576633093-0.0092926843309303
440.4586792450.486883970810540-0.0282047258105404
450.4284276730.4278464826326460.000581190367353649
460.4635220130.4512592012734770.0122628117265227
470.4871698110.4766795878613070.0104902231386931
480.4735849060.4538555828432390.0197293231567609
490.4918867920.4861443044129330.00574248758706747
500.4748427670.4602635129613920.0145792540386078
510.5023270440.4978657590108330.00446128498916738
520.5393710690.54126457753987-0.00189350853987035
530.4844025160.514115786298244-0.0297132702982443
540.4746540880.4701886343767290.00446545362327133
550.4735220130.4613050849086900.0122169280913104
560.487547170.4803552793521640.00719189064783578
570.4933333330.472301967946640.0210313650533602
580.5251572330.5077003087612620.0174569242387378
590.5427044030.5169612388469340.0257431641530657


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.001594527225287390.003189054450574780.998405472774713
60.0006423520097354510.001284704019470900.999357647990265
70.0001391591947907680.0002783183895815360.99986084080521
80.004392652440937570.008785304881875140.995607347559062
90.001860420707498490.003720841414996990.998139579292502
100.0006077872352610970.001215574470522190.999392212764739
110.0002485975734996340.0004971951469992690.9997514024265
126.82521151268311e-050.0001365042302536620.999931747884873
130.000350072366554160.000700144733108320.999649927633446
140.0002259006740425200.0004518013480850410.999774099325957
150.0002945996517753360.0005891993035506720.999705400348225
160.0007428531323109070.001485706264621810.99925714686769
170.01773756541256730.03547513082513450.982262434587433
180.04467240206038330.08934480412076650.955327597939617
190.1016535269930220.2033070539860440.898346473006978
200.1223766202129410.2447532404258810.87762337978706
210.2368969194210170.4737938388420350.763103080578983
220.5616855343549980.8766289312900050.438314465645002
230.8614148187885280.2771703624229450.138585181211472
240.9480338569972880.1039322860054230.0519661430027116
250.978221712920940.04355657415811870.0217782870790594
260.9863319374101380.02733612517972440.0136680625898622
270.9931044641759760.01379107164804880.00689553582402439
280.9927942378737550.01441152425248990.00720576212624494
290.9951922261754850.00961554764903010.00480777382451505
300.994802903275920.01039419344815830.00519709672407916
310.9979490893839250.004101821232150890.00205091061607544
320.9992420025780030.001515994843993430.000757997421996713
330.9989706770775360.002058645844928510.00102932292246426
340.9982733352674470.003453329465105430.00172666473255271
350.9995792887057090.0008414225885829370.000420711294291468
360.9995471379805430.0009057240389137940.000452862019456897
370.9997499755317230.000500048936553560.00025002446827678
380.9994373564972410.001125287005517720.000562643502758862
390.9988205396275540.002358920744892800.00117946037244640
400.9978547329907860.004290534018427570.00214526700921378
410.999128688867910.001742622264181790.000871311132090893
420.9997751172371460.0004497655257078040.000224882762853902
430.999685170991250.0006296580174983370.000314829008749169
440.999927099494120.0001458010117615557.29005058807774e-05
450.99988343270270.0002331345945998970.000116567297299948
460.9996540890322570.0006918219354852340.000345910967742617
470.998987010806270.002025978387460450.00101298919373023
480.997352895043340.005294209913320810.00264710495666040
490.9930391914866980.01392161702660350.00696080851330173
500.982721509745190.03455698050961990.0172784902548099
510.9595492343576490.08090153128470260.0404507656423513
520.9115422961028030.1769154077943940.088457703897197
530.996981103083850.006037793832299970.00301889691614998
540.9904266362650060.01914672746998770.00957336373499386


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level320.64NOK
5% type I error level410.82NOK
10% type I error level430.86NOK