Multiple Linear Regression - Estimated Regression Equation
USDOLLAR[t] = + 0.105597037179138 + 0.00941197428820186Amerikaanse_inflatie[t] + 1.20596116767540`Y[t-1]`[t] -0.527201466526525`Y[t-2]`[t] + 0.547813323376132`Y[t-3]`[t] -0.388942635999796`Y[t-4]`[t] + 0.0293145636322456M1[t] -0.00111634037128101M2[t] + 0.0413735451661571M3[t] + 0.0121472277427398M4[t] + 0.0212072164688286M5[t] + 0.0097722538432314M6[t] -0.0136301901705398M7[t] + 0.0219708478339727M8[t] -0.00996368572382476M9[t] + 0.0239631461363912M10[t] + 0.0182904283986546M11[t] + 0.000324299601614479t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.1055970371791380.0496542.12670.0401810.020091
Amerikaanse_inflatie0.009411974288201860.013810.68150.4997820.249891
`Y[t-1]`1.205961167675400.1833096.578800
`Y[t-2]`-0.5272014665265250.247678-2.12860.0400120.020006
`Y[t-3]`0.5478133233761320.2389982.29210.0276850.013843
`Y[t-4]`-0.3889426359997960.151709-2.56370.0145520.007276
M10.02931456363224560.0210121.39520.1712860.085643
M2-0.001116340371281010.021164-0.05270.9582170.479109
M30.04137354516615710.0210361.96680.0567450.028372
M40.01214722774273980.0218180.55680.5810420.290521
M50.02120721646882860.021161.00220.3227390.16137
M60.00977225384323140.0215680.45310.6531290.326565
M7-0.01363019017053980.021231-0.6420.5248320.262416
M80.02197084783397270.0228590.96110.3427260.171363
M9-0.009963685723824760.023219-0.42910.6703270.335163
M100.02396314613639120.0229111.04590.3023910.151196
M110.01829042839865460.0222310.82270.4159240.207962
t0.0003242996016144790.0002821.15150.2569160.128458


Multiple Linear Regression - Regression Statistics
Multiple R0.94880027255588
R-squared0.900221957202111
Adjusted R-squared0.85437799159227
F-TEST (value)19.6366510886849
F-TEST (DF numerator)17
F-TEST (DF denominator)37
p-value1.49324996812084e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0305246824388129
Sum Squared Residuals0.0344749808056438


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10.79050.79712299239437-0.00662299239437012
20.77190.777946421441421-0.00604642144142124
30.78110.786729018034817-0.00562901803481656
40.75570.784461318183687-0.0287613181836867
50.76370.7438609137836560.0198390862163442
60.75950.772919651688219-0.0134196516882189
70.74710.7240073254034810.0230926745965185
80.76150.768137141975872-0.00663714197587215
90.74870.744419806924450.00428019307554969
100.73890.744328176998905-0.00542817699890496
110.73370.749933933683564-0.0162339336835641
120.7510.7239448411333220.0270551588666775
130.73820.772045128350074-0.0338451283500743
140.71590.71928584161107-0.00338584161107040
150.75420.756278535970568-0.00207853597056763
160.76360.770159497314745-0.00655949731474485
170.74330.76250903565132-0.0192090356513203
180.76580.7544116945698750.0113883054301251
190.76270.758933385818860.00376661418113985
200.7480.756603717086188-0.00860371708618804
210.76920.7286415031094690.0405584968905306
220.7850.791801929764523-0.00680192976452251
230.79130.7902698376945870.00103016230541267
240.7720.785504857569513-0.0135048575695132
250.7880.79135722109776-0.00335722109775968
260.8070.7889304635027560.0180695364972439
270.82680.831260684911889-0.00446068491188936
280.82440.833347966055096-0.00894796605509596
290.84870.831664686756510.0170353132434903
300.85720.8544868376026720.00271316239732783
310.82140.8191925370586650.00220746294133468
320.88270.824786294073220.057913705926781
330.92160.8806721527795270.0409278472204730
340.88650.912388358570235-0.0258883585702349
350.88160.885072227619392-0.0034722276193915
360.88840.8780070809800170.0103929190199829
370.94660.8822833760343970.0643166239656029
380.9180.931741681406962-0.0137416814069616
390.93370.9128766831505890.0208233168494111
400.95590.9503489185633240.00555108143667627
410.96260.944056416037730.0185435839622705
420.94340.947192089912107-0.00379208991210688
430.86390.896498612726762-0.0325986127267623
440.79960.842272846864721-0.0426728468647208
450.6680.753766537186553-0.0857665371865532
460.65720.6190815346663380.0381184653336624
470.69280.6741240010024570.0186759989975429
480.64380.667743220317147-0.0239432203171471
490.64540.665891282123399-0.0204912821233989
500.68730.682195592037790.00510440796220938
510.72650.735155077932138-0.0086550779321376
520.79120.7524822998831490.0387177001168513
530.81140.847608947770785-0.0362089477707847
540.82810.8249897262271270.00311027377287283
550.83930.835768138992230.0035318610077692


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.1457302762644270.2914605525288530.854269723735573
220.06665586414260120.1333117282852020.933344135857399
230.02367221452659020.04734442905318050.97632778547341
240.02323108261961320.04646216523922650.976768917380387
250.01583424232188330.03166848464376650.984165757678117
260.007442784635045820.01488556927009160.992557215364954
270.00282502292305590.00565004584611180.997174977076944
280.001222123525696610.002444247051393220.998777876474303
290.0004035254390582380.0008070508781164760.999596474560942
300.0002344835438393770.0004689670876787540.99976551645616
310.0006971880064060720.001394376012812140.999302811993594
320.0004908590582665380.0009817181165330760.999509140941733
330.00268973774368390.00537947548736780.997310262256316
340.001266992052512350.002533984105024710.998733007947488


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level80.571428571428571NOK
5% type I error level120.857142857142857NOK
10% type I error level120.857142857142857NOK