Multiple Linear Regression - Estimated Regression Equation
Vlaanderen[t] = + 86.9586400040947 + 1.23220559598646`Walloniƫ`[t] + 0.215180265869656Brussel[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)86.958640004094720.0280994.34184.7e-052.4e-05
`Walloniƫ`1.232205595986460.1426538.637800
Brussel0.2151802658696560.1746241.23220.222040.11102


Multiple Linear Regression - Regression Statistics
Multiple R0.857834973293507
R-squared0.735880841405472
Adjusted R-squared0.728225213620123
F-TEST (value)96.1228604679297
F-TEST (DF numerator)2
F-TEST (DF denominator)69
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation41.4333614395668
Sum Squared Residuals118453.917372543


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1356330.37110213603025.6288978639695
2386370.29091773856815.7090822614322
3444399.80707123694944.1929287630512
4387361.91921110070825.0807888992925
5327380.481494770792-53.4814947707922
6448384.23698755798363.763012442017
7225243.138237355036-18.1382373550363
8182222.190742223266-40.1907422232665
9460377.0021534426482.9978465573603
10411374.04641052575936.9535894742413
11342390.946128068118-48.9461280681176
12361339.42690183967521.5730981603252
13377340.48457463190436.5154253680959
14331357.441072979557-26.4410729795572
15428360.19986416768867.8001358323124
16340326.38220054585113.6177994541492
17352408.412186677798-56.4121866777978
18461433.91701966100627.0829803389943
19221253.426242654667-32.4262426546673
20198226.043663277864-28.0436632778640
21422436.870667383949-14.8706673839494
22329411.130330403816-82.1303304038156
23320338.625056775428-18.6250567754277
24375327.67328214106947.3267178589313
25364395.68009391725-31.6800939172501
26351378.780376374891-27.7803763748912
27380351.49522526549528.5047747345054
28319307.84024060682211.1597593931776
29322364.720744944888-42.7207449448876
30386372.73710039342213.2628996065782
31221255.693702117890-34.6937021178896
32187212.527953990188-25.5279539901882
33344378.644395839309-34.6443958393092
34342399.102654440108-57.1026544401083
35365328.78773573859236.2122642614078
36313358.439869772555-45.4398697725551
37356339.70095810477616.2990418952240
38337344.004563422169-7.0045634221691
39389350.98776019740538.0122398025952
40326348.738529271302-22.7385292713015
41343328.14219494098314.8578050590167
42357396.266758715628-39.2667587156276
43220218.5530014345391.44699856546146
44218194.41635458289923.5836454171009
45391412.246879195276-21.2468791952763
46425430.045870069289-5.04587006928909
47332353.490723657553-21.4907236575530
48298358.537298039962-60.5372980399618
49360371.484571066379-11.4845710663791
50336306.0802462116929.9197537883101
51325383.437237687673-58.4372376876732
52393339.31124503514953.6887549648508
53301345.687453280951-44.6874532809511
54426500.555645305619-74.5556453056186
55265275.392858310491-10.3928583104913
56210205.0372921468634.9627078531373
57429445.205916947572-16.2059169475718
58440405.38143441850434.6185655814964
59357378.096283309107-21.096283309107
60431422.9266927584718.07330724152855
61442396.59759578602345.4024042139771
62442385.76357315012756.2364268498731
63544478.25819257939965.7418074206007
64420391.12275606581228.8772439341879
65396371.23083853233424.7691614676658
66482423.29817729097958.7018227090207
67261303.928443552993-42.9284435529933
68211222.464798488368-11.4647984883676
69448529.249630008696-81.249630008696
70468413.34100906174454.6589909382564
71464409.92054373282354.0794562671774
72425367.18306094292357.8169390570768


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.7590602815701130.4818794368597740.240939718429887
70.6521323843603990.6957352312792020.347867615639601
80.5388949879226120.9222100241547760.461105012077388
90.5091627291418880.9816745417162230.490837270858112
100.4166844134008840.8333688268017680.583315586599116
110.7086434411670090.5827131176659810.291356558832991
120.6335633154450710.7328733691098570.366436684554929
130.5520488513841070.8959022972317860.447951148615893
140.5302832276014380.9394335447971240.469716772398562
150.5483715022138310.9032569955723380.451628497786169
160.4628589235238210.9257178470476410.53714107647618
170.670612165803840.658775668392320.32938783419616
180.6032702428710230.7934595142579540.396729757128977
190.5488083012694280.9023833974611430.451191698730571
200.4814486993294750.962897398658950.518551300670525
210.4648141921945410.9296283843890820.535185807805459
220.6856148649219740.6287702701560510.314385135078026
230.6236275747828970.7527448504342060.376372425217103
240.6016872199761110.7966255600477770.398312780023889
250.641569990928580.7168600181428410.358430009071420
260.6141784111603420.7716431776793160.385821588839658
270.5776990415821310.8446019168357380.422300958417869
280.5077412605908690.9845174788182620.492258739409131
290.6284932834971980.7430134330056050.371506716502802
300.5638604507055760.8722790985888490.436139549294424
310.5354129318083780.9291741363832440.464587068191622
320.4911027815526470.9822055631052930.508897218447353
330.478561470609840.957122941219680.52143852939016
340.5524791463823330.8950417072353340.447520853617667
350.5300515984143010.9398968031713970.469948401585699
360.5453228125744140.9093543748511730.454677187425586
370.4841596151750620.9683192303501230.515840384824938
380.4190671757505180.8381343515010360.580932824249482
390.4015982486618780.8031964973237560.598401751338122
400.356108228483960.712216456967920.64389177151604
410.2983609138261660.5967218276523320.701639086173834
420.2970781002056770.5941562004113530.702921899794323
430.2403315802125940.4806631604251890.759668419787406
440.1996481539082410.3992963078164830.800351846091759
450.1649153923523720.3298307847047450.835084607647627
460.1244058276217390.2488116552434770.875594172378261
470.1027913368722740.2055826737445470.897208663127726
480.1521142544761350.3042285089522710.847885745523865
490.1256889021479350.251377804295870.874311097852065
500.1021454874017370.2042909748034730.897854512598263
510.1297015890990690.2594031781981390.87029841090093
520.1423800036780130.2847600073560250.857619996321987
530.1573357429170310.3146714858340620.842664257082969
540.3698965903111340.7397931806222690.630103409688866
550.2967502901198700.5935005802397410.70324970988013
560.2295764868128670.4591529736257350.770423513187133
570.1760022394816330.3520044789632660.823997760518367
580.1387264961719190.2774529923438380.861273503828081
590.1302314181436490.2604628362872980.86976858185635
600.08946492366405460.1789298473281090.910535076335945
610.06456831726580910.1291366345316180.93543168273419
620.05674734568206240.1134946913641250.943252654317938
630.06260858474204720.1252171694840940.937391415257953
640.03725125969632090.07450251939264180.96274874030368
650.01961992022015700.03923984044031390.980380079779843
660.01792780554526040.03585561109052080.98207219445474


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0327868852459016OK
10% type I error level30.0491803278688525OK