Multiple Linear Regression - Estimated Regression Equation
HNR[t] = + 44.5416 -0.00182707`MDVP:Fo(Hz)`[t] + 0.00247759`MDVP:Fhi(Hz)`[t] + 0.0021025`MDVP:Flo(Hz)`[t] -607.496`MDVP:Jitter(%)`[t] + 57886.9`MDVP:Jitter(Abs)`[t] -27096`MDVP:RAP`[t] + 25.4063`MDVP:PPQ`[t] + 9119.58`Jitter:DDP`[t] + 308.934`MDVP:Shimmer`[t] -10.7544`MDVP:Shimmer(dB)`[t] + 27659.8`Shimmer:APQ3`[t] -193.034`Shimmer:APQ5`[t] + 58.9856`MDVP:APQ`[t] -9349`Shimmer:DDA`[t] -16.4308NHR[t] -0.440425status[t] -17.3235RPDE[t] -2.39779DFA[t] + 0.412283spread1[t] + 9.43257spread2[t] -3.01521D2[t] -11.5931PPE[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)44.54165.189698.5835.31731e-152.65865e-15
`MDVP:Fo(Hz)`-0.001827070.00805641-0.22680.820860.41043
`MDVP:Fhi(Hz)`0.002477590.001690991.4650.14470.0723501
`MDVP:Flo(Hz)`0.00210250.004292440.48980.624890.312445
`MDVP:Jitter(%)`-607.496359.244-1.6910.09264040.0463202
`MDVP:Jitter(Abs)`57886.924141.92.3980.01756540.00878272
`MDVP:RAP`-2709649395.3-0.54860.5840230.292011
`MDVP:PPQ`25.4063468.4550.054230.9568110.478406
`Jitter:DDP`9119.5816469.70.55370.580490.290245
`MDVP:Shimmer`308.934180.4281.7120.08865760.0443288
`MDVP:Shimmer(dB)`-10.75446.30472-1.7060.08985590.0449279
`Shimmer:APQ3`27659.847486.40.58250.5610070.280503
`Shimmer:APQ5`-193.034106.121-1.8190.07065190.0353259
`MDVP:APQ`58.985657.53551.0250.3067070.153353
`Shimmer:DDA`-934915824.3-0.59080.5554290.277715
NHR-16.430810.4675-1.570.1183220.0591609
status-0.4404250.402548-1.0940.2754440.137722
RPDE-17.32351.96094-8.8341.14017e-155.70083e-16
DFA-2.397793.91539-0.61240.5410820.270541
spread10.4122830.5202310.79250.4291610.214581
spread29.432572.481283.8010.0001994579.97286e-05
D2-3.015210.560677-5.3782.43219e-071.2161e-07
PPE-11.59317.29296-1.590.1137560.0568778


Multiple Linear Regression - Regression Statistics
Multiple R0.92975
R-squared0.864435
Adjusted R-squared0.847095
F-TEST (value)49.8527
F-TEST (DF numerator)22
F-TEST (DF denominator)172
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.73061
Sum Squared Residuals515.142


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
121.03321.8147-0.781673
219.08517.881.205
320.65120.61420.0368069
420.64419.89770.7463
519.64917.84341.80562
621.37821.08110.296875
724.88623.96350.922532
826.89221.95724.93478
921.81222.8598-1.04783
1021.86222.7886-0.9266
1121.11823.2228-2.10478
1221.41421.9825-0.568495
1325.70325.13050.572493
1424.88925.1938-0.304784
1524.92224.11520.806816
1625.17522.79222.38279
1722.33322.7276-0.394585
1820.37618.79791.57806
1917.2816.23731.04271
2017.15319.2281-2.07515
2117.53617.6966-0.160588
2219.49319.15240.340568
2322.46818.51053.95752
2420.42219.8080.61399
2523.83123.7320.0990145
2622.06621.28560.780396
2725.90824.63231.27574
2825.11925.2575-0.138471
2925.9725.62280.347177
3025.67826.0542-0.376244
3126.77526.9769-0.20195
3230.9425.98244.95761
3330.77527.23213.54287
3432.68429.21773.46629
3533.04730.25942.78757
3631.73226.6495.08305
3723.21624.285-1.06901
3824.95124.9748-0.0238369
3926.73825.82710.910869
4026.3125.68790.622119
4126.82226.67030.15168
4226.45325.37171.08127
4322.73625.4329-2.69693
4423.14524.1229-0.977853
4525.36824.43910.928851
4625.03223.99071.04127
4724.60223.52451.07755
4826.80523.5213.28397
4923.16223.9941-0.832125
5024.97124.70330.267747
5125.13524.47180.663179
5225.0324.57020.45976
5324.69224.9847-0.292684
5425.42925.442-0.0129822
5521.02821.7066-0.678616
5620.76720.45650.310539
5721.42221.14160.280394
5822.81722.51630.300727
5922.60322.6618-0.0587932
6021.6621.6905-0.0305386
6125.55424.33351.22047
6226.13822.95023.1878
6325.85625.18950.666465
6425.96425.60910.354946
6526.41527.7039-1.28887
6624.54725.5631-1.01611
6719.5621.5225-1.96253
6819.97921.7009-1.72194
6920.33819.87480.463165
7021.71819.60082.11718
7120.26421.2394-0.975388
7218.5718.46750.10253
7325.74224.62531.11672
7424.17825.7637-1.58573
7525.43823.3662.07203
7625.19725.7988-0.601798
7723.3723.19080.179202
7825.8225.48690.333127
7921.87521.10860.766433
8019.219.648-0.447999
8119.05518.30980.7452
8219.65920.5354-0.876364
8320.53620.48140.0545529
8422.24420.94981.29421
8513.89316.0439-2.15089
8616.17617.5715-1.39555
8715.92419.4839-3.55991
8813.92214.1213-0.199258
8914.73914.18360.555383
9011.86613.5734-1.70741
9111.74411.61740.12656
9219.66417.43732.22673
9318.7819.8437-1.06371
9420.96919.48741.48159
9522.21921.59850.620478
9621.69322.352-0.658954
9722.66324.0394-1.37638
9815.33816.9803-1.64227
9915.43318.3378-2.90478
10012.43513.034-0.598997
1018.8677.153691.71331
10215.0615.4178-0.357798
10310.4898.468952.02005
10426.75927.5678-0.808786
10528.40928.97-0.561001
10627.42127.5432-0.122225
10729.74627.49322.2528
10826.83326.65360.179413
10929.92827.62792.30012
11021.93420.52861.4054
11123.23922.39560.843367
11222.40725.0188-2.61177
11321.30520.77160.533428
11423.67124.1009-0.429854
11521.86423.0361-1.17212
11623.69323.23130.461744
11726.35624.93391.42206
11825.6922.77622.91376
11925.0224.35260.667403
12024.58123.41931.16169
12124.74324.37760.365388
12227.16625.04342.12265
12318.30519.2247-0.919732
12418.78419.4432-0.659205
12519.19620.0156-0.819564
12618.85720.1883-1.33126
12718.17820.3423-2.1643
12818.3319.9873-1.65728
12926.84224.40952.43245
13026.36924.72671.64228
13123.94923.58890.360138
13226.01723.61922.39783
13323.38923.8364-0.447406
13425.61925.21390.405126
13517.0618.8078-1.74779
13617.70718.1152-0.40815
13719.01320.2493-1.23627
13816.74716.9743-0.227264
13917.36617.9993-0.633269
14018.80120.4379-1.63692
14118.5417.74360.796358
14215.64814.64621.00181
14318.70219.6201-0.918128
14418.68721.4609-2.77391
14520.6821.8709-1.19094
14620.36620.6004-0.234365
14712.35913.2786-0.919605
14814.36716.6034-2.23641
14912.29812.4631-0.165054
15014.98915.8744-0.885429
15112.52914.3987-1.86966
1528.4415.591062.84994
1539.4497.22892.2201
15421.5223.6868-2.16676
15521.82419.3632.46098
15622.43120.22372.20731
15722.95319.95183.00121
15819.07518.35690.718056
15921.53419.00722.52676
16019.65122.0077-2.35673
16120.43722.7397-2.30271
16219.38820.9681-1.58015
16318.95419.2187-0.26467
16421.21923.5587-2.33973
16518.44720.2972-1.85016
16624.07823.08990.988083
16724.67927.1715-2.49245
16821.08325.0734-3.99043
16919.26921.7144-2.4454
17021.0223.5669-2.5469
17121.52823.0717-1.54367
17226.43626.3760.0599968
17326.5527.4208-0.870777
17426.54727.2817-0.734691
17525.44527.4044-1.95942
17626.00526.3427-0.337675
17726.14326.3369-0.193897
17824.15125.1355-0.984507
17924.41224.7503-0.338303
18023.68324.0148-0.331829
18123.13325.5345-2.40147
18222.86623.7518-0.885793
18323.00824.9307-1.9227
18423.07923.3603-0.281304
18522.08522.3128-0.227801
18624.19923.37350.825451
18723.95824.5489-0.590924
18825.02324.92390.0990985
18924.77524.75340.0216134
19019.36820.2501-0.882056
19119.51719.9133-0.396279
19219.14720.588-1.44101
19317.88319.7288-1.8458
19419.0222.9544-3.93442
19521.20922.1582-0.949203


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
260.2456860.4913720.754314
270.1648860.3297730.835114
280.08467090.1693420.915329
290.09452460.1890490.905475
300.05068870.1013770.949311
310.02471840.04943680.975282
320.1396490.2792990.860351
330.1641990.3283980.835801
340.2810910.5621820.718909
350.2722810.5445630.727719
360.2813180.5626360.718682
370.2163350.432670.783665
380.1789760.3579520.821024
390.1353550.2707110.864645
400.1055060.2110120.894494
410.07513830.1502770.924862
420.07150450.1430090.928496
430.3741610.7483220.625839
440.3300220.6600430.669978
450.3306620.6613230.669338
460.2834540.5669070.716546
470.2460750.492150.753925
480.3121860.6243730.687814
490.669950.6600990.33005
500.6294770.7410470.370523
510.5967090.8065810.403291
520.5508980.8982040.449102
530.4988090.9976180.501191
540.447720.8954390.55228
550.3922160.7844310.607784
560.3821650.764330.617835
570.3372950.6745910.662705
580.2959980.5919960.704002
590.2638660.5277330.736134
600.2431380.4862750.756862
610.3561150.7122310.643885
620.553160.8936810.44684
630.6028010.7943990.397199
640.5956340.8087310.404366
650.6531780.6936450.346822
660.7619630.4760740.238037
670.7778460.4443070.222154
680.7588410.4823180.241159
690.8541880.2916240.145812
700.8287230.3425550.171277
710.8050550.3898910.194945
720.7731410.4537180.226859
730.7510460.4979090.248954
740.7570460.4859080.242954
750.7724020.4551970.227598
760.736470.5270590.26353
770.6964840.6070330.303516
780.6718640.6562730.328136
790.6688190.6623630.331181
800.6305060.7389880.369494
810.6009240.7981520.399076
820.5669020.8661960.433098
830.5353010.9293970.464699
840.5420130.9159730.457987
850.5678950.864210.432105
860.5607220.8785550.439278
870.6283940.7432120.371606
880.60940.7812010.3906
890.5955650.808870.404435
900.6672740.6654520.332726
910.6976940.6046110.302306
920.7611180.4777650.238882
930.7444890.5110220.255511
940.7679650.4640710.232035
950.7605120.4789760.239488
960.7305530.5388940.269447
970.7169460.5661080.283054
980.802050.39590.19795
990.8223840.3552330.177616
1000.8522660.2954680.147734
1010.9345430.1309150.0654574
1020.9215790.1568420.0784211
1030.9217510.1564980.0782492
1040.9060340.1879320.0939659
1050.8871250.2257490.112875
1060.8751010.2497980.124899
1070.9111170.1777670.0888834
1080.8968240.2063520.103176
1090.9321480.1357040.067852
1100.9375430.1249150.0624575
1110.9284010.1431990.0715993
1120.9331750.1336510.0668254
1130.9168850.1662290.0831147
1140.9072990.1854030.0927014
1150.8886850.222630.111315
1160.8654160.2691680.134584
1170.8566390.2867230.143361
1180.9030110.1939790.0969895
1190.8912770.2174460.108723
1200.8852220.2295570.114778
1210.8785410.2429180.121459
1220.9054790.1890410.0945207
1230.8937940.2124130.106206
1240.8782280.2435450.121772
1250.8598640.2802730.140136
1260.8421470.3157060.157853
1270.8414610.3170770.158539
1280.8182130.3635750.181787
1290.907770.1844590.0922295
1300.9098810.1802380.0901189
1310.8870090.2259810.112991
1320.9088090.1823830.0911913
1330.8882970.2234060.111703
1340.8867980.2264050.113202
1350.8694470.2611050.130553
1360.8522280.2955440.147772
1370.8321640.3356730.167836
1380.8304670.3390650.169533
1390.821190.357620.17881
1400.9208970.1582060.0791031
1410.9000730.1998530.0999266
1420.9006110.1987770.0993886
1430.8734830.2530340.126517
1440.8674180.2651650.132582
1450.8567250.2865510.143275
1460.8295060.3409870.170494
1470.7859180.4281650.214082
1480.8187440.3625120.181256
1490.9622370.07552610.0377631
1500.9468580.1062850.0531424
1510.9268010.1463980.0731988
1520.9328330.1343340.0671671
1530.9997070.0005866790.00029334
1540.9994340.001131150.000565577
1550.9994810.00103740.000518699
1560.9990210.001957690.000978844
1570.9996650.0006702050.000335102
1580.9992060.001588020.000794009
1590.9999911.77914e-058.89572e-06
1600.9999735.33338e-052.66669e-05
1610.9999519.78115e-054.89058e-05
1620.9998420.0003153770.000157688
1630.9997570.0004865590.000243279
1640.9992510.001497190.000748596
1650.9977930.004414620.00220731
1660.9990490.001901170.000950584
1670.9998720.0002567850.000128393
1680.9996710.0006581930.000329096
1690.9993440.001311850.000655927


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level170.118056NOK
5% type I error level180.125NOK
10% type I error level190.131944NOK