Multiple Linear Regression - Estimated Regression Equation
MDVP:Shimmer[t] = + 0.000919993 + 0.0133599`MDVP:Shimmer(dB)`[t] + 15.5488`Shimmer:APQ3`[t] + 0.198393`Shimmer:APQ5`[t] + 0.22673`MDVP:APQ`[t] -4.84219`Shimmer:DDA`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.0009199930.0001180917.7914.30716e-132.15358e-13
`MDVP:Shimmer(dB)`0.01335990.002120756.32.04613e-091.02306e-09
`Shimmer:APQ3`15.548823.02850.67520.5003760.250188
`Shimmer:APQ5`0.1983930.02705367.3336.40103e-123.20051e-12
`MDVP:APQ`0.226730.015995714.171.52692e-317.63461e-32
`Shimmer:DDA`-4.842197.67679-0.63080.5289610.264481


Multiple Linear Regression - Regression Statistics
Multiple R0.998949
R-squared0.997898
Adjusted R-squared0.997843
F-TEST (value)17947.9
F-TEST (DF numerator)5
F-TEST (DF denominator)189
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.000875838
Sum Squared Residuals0.00014498


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10.043740.04191030.00182972
20.061340.0601380.001202
30.052330.05138390.000946074
40.054920.05426290.000657094
50.064250.06409340.000156611
60.047010.0451090.00190099
70.016080.01567550.00040451
80.015670.0159089-0.000238899
90.020930.02091491.5057e-05
100.028380.0279720.000407992
110.021430.0215337-0.000103746
120.027520.02707840.000441635
130.012590.0131292-0.000539225
140.016420.01634257.75037e-05
150.018280.0187091-0.000429071
160.015030.0153378-0.000307823
170.020470.0204254.49788e-05
180.033270.03188020.00138982
190.055170.05358210.00158792
200.039950.0375950.00235497
210.03810.03631240.00178762
220.041370.0419704-0.000600419
230.043510.04334930.00016068
240.041920.0415430.000377043
250.016590.01592990.000660132
260.037670.03669080.000979246
270.019660.01910440.000555563
280.019190.01895270.000237315
290.017180.01670550.000474516
300.017910.01739810.000511923
310.010980.0111384-0.000158414
320.010150.0102119-6.19411e-05
330.012630.0127865-0.000156476
340.009540.00968222-0.000142217
350.009580.00974422-0.000164224
360.011940.0120173-7.72678e-05
370.021260.0215202-0.000260181
380.018510.01843477.52752e-05
390.014440.0145937-0.000153699
400.016630.01645010.000179918
410.014950.0153464-0.000396396
420.014630.0148537-0.000223696
430.017520.0183397-0.000819747
440.01760.018205-0.000605023
450.014190.0147181-0.000528054
460.014940.0153629-0.000422865
470.016080.01656-0.000480002
480.011520.012019-0.000499024
490.016130.0163105-0.000180537
500.016810.0172978-0.000487762
510.021840.0220411-0.000201092
520.020330.0206375-0.000307491
530.022970.0231785-0.000208498
540.024980.025069-8.90009e-05
550.027190.0273164-0.000126429
560.032090.0327764-0.000686408
570.037150.03702510.000124855
580.022930.0232895-0.000359485
590.026450.0267307-0.000280711
600.032250.0337229-0.00147294
610.018610.018787-0.000176952
620.019060.0190888-2.87571e-05
630.016430.0165903-0.000160304
640.016440.0166306-0.000190553
650.014570.014658-8.80196e-05
660.017450.0176575-0.000207456
670.031980.0329041-0.000924073
680.031110.0311702-6.02198e-05
690.053840.05207040.00176961
700.054280.0551136-0.000833565
710.034850.0353105-0.000460527
720.049780.04883650.000943511
730.017060.0178401-0.000780137
740.024480.0250886-0.000608648
750.024420.0252724-0.000852391
760.022150.0231526-0.00100261
770.039990.0408673-0.000877329
780.021990.0227652-0.000775155
790.032020.0322205-0.0002005
800.031210.0322054-0.000995445
810.040240.0402813-4.13076e-05
820.031560.031762-0.000201975
830.024270.0245611-0.000291068
840.022230.0228556-0.000625631
850.047950.0480703-0.000120318
860.038520.03834910.000170875
870.037590.03758257.47238e-06
880.065110.0651116-1.55792e-06
890.067270.067701-0.000431021
900.043130.0435819-0.000451936
910.06640.0668396-0.000439556
920.079590.07921950.000370474
930.04190.0422668-0.000366789
940.059250.0610326-0.0017826
950.037160.03701950.000140526
960.032720.0328501-0.000130134
970.033810.0339154-0.000105407
980.038860.03857940.000280589
990.046890.04666930.000220684
1000.067340.0676104-0.000270421
1010.091780.09114710.000632918
1020.06170.06068410.00101587
1030.094190.09362490.000565115
1040.011310.01123227.78481e-05
1050.01030.01014790.000152106
1060.013460.01342233.77015e-05
1070.010640.0108613-0.000221336
1080.01450.01370530.00079466
1090.010240.0102561-1.61314e-05
1100.030440.0310717-0.000631681
1110.022860.0229242-6.41961e-05
1120.017610.017833-0.000223034
1130.023780.02372775.22701e-05
1140.01680.01667930.000120707
1150.021050.0212607-0.000210655
1160.018430.01668030.00174967
1170.014580.01354860.00103143
1180.017250.01671650.000533469
1190.012790.0130362-0.000246185
1200.012990.0131582-0.000168238
1210.020080.01865030.00142975
1220.011690.01164634.37238e-05
1230.044790.0456498-0.000859835
1240.025030.0255921-0.000562091
1250.023430.0238059-0.000375883
1260.023620.0239824-0.000362374
1270.027910.0281274-0.000217428
1280.028570.0290723-0.000502319
1290.010330.0106984-0.000368394
1300.010220.0102021.79553e-05
1310.014120.01406175.82991e-05
1320.015160.01467250.000487535
1330.012010.0123205-0.000310492
1340.010430.0104824-5.2441e-05
1350.049320.04864120.000678813
1360.041280.0413808-0.000100833
1370.048790.04691270.00187734
1380.052790.0528474-5.74289e-05
1390.056430.05625560.00017437
1400.030260.02979030.000469714
1410.032730.03248390.000246056
1420.067250.0677119-0.000461927
1430.035270.0357493-0.000479287
1440.019970.020541-0.000570965
1450.026620.0266345-1.44502e-05
1460.025360.02528287.71759e-05
1470.081430.0815571-0.000127091
1480.06050.0610167-0.000516695
1490.071180.0706360.000543997
1500.07170.07103940.000660602
1510.05830.0605915-0.00229147
1520.119080.122982-0.00390184
1530.086840.0882425-0.00140254
1540.025340.02532291.70964e-05
1550.026820.02665380.000166161
1560.030870.03059090.000279082
1570.022930.02278960.000140399
1580.049120.04435010.00476987
1590.028520.02788250.000637485
1600.032350.0297130.00263702
1610.040090.03581690.00427308
1620.032730.03208050.000649481
1630.036580.03576090.000819089
1640.017560.0179669-0.000406893
1650.028140.0285242-0.000384221
1660.024480.0246883-0.000208262
1670.012420.0130177-0.000597682
1680.02030.0212634-0.000963404
1690.021770.0223538-0.000583755
1700.020180.0211352-0.000955215
1710.018970.01944-0.000469957
1720.013580.0135754.98932e-06
1730.014840.015251-0.000410988
1740.014720.01469292.7086e-05
1750.016570.0169581-0.000388118
1760.015030.0154705-0.000440533
1770.017250.01691990.000330127
1780.014690.01467181.82425e-05
1790.015740.0162096-0.000469584
1800.01450.0146827-0.000182713
1810.025510.0255342-2.41785e-05
1820.018310.0185801-0.000270106
1830.021450.021858-0.000408017
1840.019090.01888180.000208222
1850.017950.0176770.000272994
1860.015640.01535320.000286798
1870.01660.0166685-6.84956e-05
1880.0130.0131408-0.000140805
1890.011850.0118946-4.45587e-05
1900.025740.0262658-0.000525824
1910.040870.0413893-0.000519261
1920.027510.0283776-0.000867585
1930.023080.0237895-0.00070945
1940.022960.0233404-0.000380398
1950.018840.0193626-0.000522632


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.01246030.02492050.98754
100.0595970.1191940.940403
110.08343530.1668710.916565
120.08218160.1643630.917818
130.07378460.1475690.926215
140.05324170.1064830.946758
150.02803920.05607830.971961
160.01514780.03029570.984852
170.007366970.01473390.992633
180.003723070.007446140.996277
190.001935560.003871120.998064
200.04116720.08233450.958833
210.03346120.06692230.966539
220.09428950.1885790.90571
230.07850940.1570190.921491
240.06772280.1354460.932277
250.04779040.09558070.95221
260.03544280.07088570.964557
270.02391230.04782470.976088
280.01860220.03720430.981398
290.01208510.02417020.987915
300.007759640.01551930.99224
310.004963350.00992670.995037
320.003105470.006210930.996895
330.001922740.003845480.998077
340.001178390.002356780.998822
350.0007002580.001400520.9993
360.0004080880.0008161760.999592
370.0002336810.0004673630.999766
380.0001281610.0002563220.999872
397.07532e-050.0001415060.999929
403.80394e-057.60788e-050.999962
412.38335e-054.76669e-050.999976
421.33765e-052.6753e-050.999987
438.1236e-061.62472e-050.999992
444.28246e-068.56492e-060.999996
452.40662e-064.81324e-060.999998
461.2189e-062.43779e-060.999999
476.33569e-071.26714e-060.999999
483.57168e-077.14336e-071
491.825e-073.64999e-071
509.6955e-081.9391e-071
517.23955e-081.44791e-071
524.15534e-088.31067e-081
533.07346e-086.14692e-081
541.89352e-083.78704e-081
558.95143e-091.79029e-081
561.29537e-082.59073e-081
576.81989e-091.36398e-081
586.87264e-091.37453e-081
596.00757e-091.20151e-081
602.47981e-074.95961e-071
611.34957e-072.69914e-071
626.94932e-081.38986e-071
633.6984e-087.39681e-081
641.87463e-083.74925e-081
659.20492e-091.84098e-081
664.59701e-099.19402e-091
673.60159e-097.20318e-091
681.72815e-093.45629e-091
692.5424e-055.08481e-050.999975
704.36354e-058.72709e-050.999956
715.86633e-050.0001173270.999941
725.13623e-050.0001027250.999949
734.72885e-059.4577e-050.999953
743.99726e-057.99451e-050.99996
754.27093e-058.54186e-050.999957
766.06173e-050.0001212350.999939
776.63424e-050.0001326850.999934
786.45161e-050.0001290320.999935
794.42428e-058.84857e-050.999956
800.0001010340.0002020690.999899
816.54249e-050.000130850.999935
824.18072e-058.36145e-050.999958
832.69238e-055.38476e-050.999973
841.98294e-053.96587e-050.99998
851.34214e-052.68427e-050.999987
869.44147e-061.88829e-050.999991
876.11372e-061.22274e-050.999994
884.80154e-069.60308e-060.999995
895.88612e-061.17722e-050.999994
907.71118e-061.54224e-050.999992
911.13102e-052.26203e-050.999989
921.64175e-053.2835e-050.999984
931.06329e-052.12659e-050.999989
940.0001139860.0002279730.999886
958.26888e-050.0001653780.999917
965.54909e-050.0001109820.999945
973.68275e-057.36549e-050.999963
982.59251e-055.18501e-050.999974
991.79783e-053.59566e-050.999982
1001.95853e-053.91706e-050.99998
1015.06074e-050.0001012150.999949
1024.73367e-059.46735e-050.999953
1037.55076e-050.0001510150.999924
1045.073e-050.000101460.999949
1053.57805e-057.1561e-050.999964
1062.39727e-054.79453e-050.999976
1071.55367e-053.10735e-050.999984
1081.69718e-053.39436e-050.999983
1091.09023e-052.18046e-050.999989
1108.40311e-061.68062e-050.999992
1115.30138e-061.06028e-050.999995
1123.28367e-066.56733e-060.999997
1132.16556e-064.33112e-060.999998
1141.40719e-062.81437e-060.999999
1158.4226e-071.68452e-060.999999
1165.09185e-061.01837e-050.999995
1176.07747e-061.21549e-050.999994
1184.09136e-068.18273e-060.999996
1192.6455e-065.291e-060.999997
1202.06519e-064.13038e-060.999998
1216.40851e-061.2817e-050.999994
1223.95067e-067.90133e-060.999996
1238.30105e-061.66021e-050.999992
1245.84173e-061.16835e-050.999994
1253.74075e-067.4815e-060.999996
1262.55046e-065.10092e-060.999997
1271.59678e-063.19357e-060.999998
1281.05701e-062.11402e-060.999999
1297.03254e-071.40651e-060.999999
1304.13159e-078.26317e-071
1312.41301e-074.82602e-071
1321.63903e-073.27807e-071
1339.86281e-081.97256e-071
1345.52596e-081.10519e-071
1351.66416e-073.32832e-071
1361.09906e-072.19812e-071
1371.20677e-062.41354e-060.999999
1381.19862e-062.39724e-060.999999
1391.62071e-063.24142e-060.999998
1401.06969e-062.13939e-060.999999
1416.3061e-071.26122e-060.999999
1424.13537e-078.27073e-071
1433.40255e-076.80509e-071
1443.07502e-076.15003e-071
1451.75351e-073.50702e-071
1469.91627e-081.98325e-071
1474.35112e-068.70224e-060.999996
1485.41602e-050.000108320.999946
1490.004255460.008510920.995745
1500.006676850.01335370.993323
1510.1906050.3812090.809395
1520.7930230.4139550.206977
1530.8829010.2341970.117099
1540.8805920.2388160.119408
1550.8995870.2008260.100413
1560.8730680.2538630.126932
1570.8426420.3147160.157358
15812.48828e-071.24414e-07
15911.38397e-076.91983e-08
16018.33837e-084.16919e-08
16118.63856e-134.31928e-13
16212.73011e-121.36505e-12
16314.26884e-122.13442e-12
16411.38731e-116.93655e-12
16515.30084e-112.65042e-11
16616.30277e-113.15138e-11
16712.0057e-101.00285e-10
16813.87915e-101.93957e-10
16911.09941e-095.49703e-10
17019.45016e-104.72508e-10
17114.27117e-092.13559e-09
17211.26304e-086.31518e-09
17313.58864e-081.79432e-08
17411.09185e-075.45927e-08
17513.70664e-071.85332e-07
1760.9999991.34281e-066.71404e-07
17717.68573e-083.84286e-08
17811.22223e-076.11116e-08
17915.43581e-072.7179e-07
1800.9999983.41911e-061.70955e-06
1810.999992.04307e-051.02153e-05
1820.9999430.0001133235.66615e-05
1830.9997780.0004443550.000222177
1840.9990650.00187030.000935148
1850.9951920.009616620.00480831
1860.982490.03502020.0175101


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1490.837079NOK
5% type I error level1580.88764NOK
10% type I error level1630.91573NOK