Multiple Linear Regression - Estimated Regression Equation
NHR[t] = + 0.0487493917669137 -0.000136978753046717`MDVP:Fo(Hz)`[t] + 1.73418954927947e-05`MDVP:Fhi(Hz)`[t] + 1.99172526816135e-05`MDVP:Flo(Hz)`[t] + 4.10594659431346`MDVP:Jitter(%)`[t] + 52.4052020921706`MDVP:Jitter(Abs)`[t] -320.448136297189`MDVP:RAP`[t] -6.83446350213999`MDVP:PPQ`[t] + 110.339974381334`Jitter:DDP`[t] -1.80077848692351`MDVP:Shimmer`[t] + 0.0066153792944201`MDVP:Shimmer(dB)`[t] -138.08492401749`Shimmer:APQ3`[t] + 0.774564726867889`Shimmer:APQ5`[t] + 0.579265150763743`MDVP:APQ`[t] + 46.669866065569`Shimmer:DDA`[t] -0.000859549620166099HNR[t] -0.00370814388609925status[t] -0.010829661243777RPDE[t] -0.139766502749012DFA[t] -0.00853620172566379spread1[t] + 0.04443828523866spread2[t] + 0.00482148062186504D2[t] + 0.0152185348319237PPE[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.04874939176691370.0447051.09050.2770330.138516
`MDVP:Fo(Hz)`-0.0001369787530467175.7e-05-2.38910.0179730.008987
`MDVP:Fhi(Hz)`1.73418954927947e-051.2e-051.41740.1581890.079095
`MDVP:Flo(Hz)`1.99172526816135e-053.1e-050.64190.5218230.260911
`MDVP:Jitter(%)`4.105946594313462.6010731.57860.1162750.058137
`MDVP:Jitter(Abs)`52.4052020921706177.4626110.29530.7681190.384059
`MDVP:RAP`-320.448136297189356.742579-0.89830.3703020.185151
`MDVP:PPQ`-6.834463502139993.347954-2.04140.042740.02137
`Jitter:DDP`110.339974381334118.9305670.92780.3548280.177414
`MDVP:Shimmer`-1.800778486923511.308894-1.37580.1706720.085336
`MDVP:Shimmer(dB)`0.00661537929442010.0459820.14390.8857720.442886
`Shimmer:APQ3`-138.08492401749343.636661-0.40180.6883050.344152
`Shimmer:APQ5`0.7745647268678890.7726481.00250.317520.15876
`MDVP:APQ`0.5792651507637430.4150691.39560.1646380.082319
`Shimmer:DDA`46.669866065569114.5145290.40750.6841140.342057
HNR-0.0008595496201660990.000548-1.56970.1183220.059161
status-0.003708143886099250.002908-1.27520.2039670.101983
RPDE-0.0108296612437770.017081-0.6340.5269060.263453
DFA-0.1397665027490120.026271-5.320200
spread1-0.008536201725663790.003713-2.2990.0227060.011353
spread20.044438285238660.0183762.41830.0166350.008317
D20.004821480621865040.0043681.10390.271160.13558
PPE0.01521853483192370.0531220.28650.7748530.387426


Multiple Linear Regression - Regression Statistics
Multiple R0.956540015849278
R-squared0.914968801920937
Adjusted R-squared0.904092718445708
F-TEST (value)84.1266807123021
F-TEST (DF numerator)22
F-TEST (DF denominator)172
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0125171492302843
Sum Squared Residuals0.0269487922747517


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10.022110.007705429434074520.0144045705659255
20.019290.0237007491384245-0.00441074913842454
30.013090.0292057435303475-0.0161157435303475
40.013530.0270403141375732-0.0135103141375732
50.017670.0425584071035489-0.0248884071035489
60.012220.01063359482186540.00158640517813456
70.00607-0.008721247575343660.0147912475753437
80.00344-0.01065904506759780.0140990450675978
90.01070.0174871117147491-0.00678711171474914
100.010220.008561887011018670.00165811298898133
110.011660.015022987674505-0.00336298767450498
120.011410.0143215850610098-0.00291158506100981
130.005810.00786437609434905-0.00205437609434904
140.010410.0113397200458806-0.000929720045880637
150.006090.004190987485283580.00189901251471642
160.008390.003178413131165520.00521158686883448
170.018590.0193917021790382-0.000801702179038164
180.029190.02431023479317390.00487976520682612
190.03160.03113659128870160.000463408711298406
200.033650.0382644206596405-0.00461442065964052
210.038710.03275022236658670.00595977763341334
220.018490.0186007966120339-0.00011079661203386
230.01280.01193105595960110.000868944040398881
240.01840.01449836379425030.00390163620574971
250.017780.0220222529508515-0.00424225295085149
260.028870.02793470836694510.000935291633054879
270.010950.00979551043918190.00115448956081809
280.013280.01114701564619910.00213298435380087
290.006770.0128835887521632-0.00611358875216318
300.01170.016154516699354-0.00445451669935398
310.00339-0.001635766831346950.00502576683134695
320.00167-0.004597833088319550.00626783308831955
330.00119-0.0150271512635220.016217151263522
340.00072-0.0146975757357990.015417575735799
350.00065-0.01213235665213650.0127823566521365
360.00135-0.006774137349571450.00812413734957145
370.005860.003910701410261460.00194929858973854
380.0034-0.00488875851210290.0082887585121029
390.00231-0.009835886752682760.0121458867526828
400.00265-0.007052008900616780.00970200890061678
410.00231-0.005276045099643230.00758604509964323
420.00257-0.01023246348561970.0128024634856197
430.00740.0123097150034571-0.00490971500345711
440.006750.00805858854379609-0.00130858854379609
450.00454-4.91215131174288e-050.00458912151311743
460.004760.001091535917572010.00366846408242799
470.004760.0060466549385029-0.0012866549385029
480.00432-0.001694653943597670.00601465394359767
490.008390.0174305224070671-0.00904052240706713
500.004620.00799401683288397-0.00337401683288397
510.004790.004545212964481910.00024478703551809
520.004740.0123254537894798-0.00758545378947979
530.004810.0103598016268912-0.00554980162689115
540.004840.0141786113180199-0.0093386113180199
550.010360.00305314793556350.0073068520644365
560.01180.01170304206263329.69579373668054e-05
570.009690.004906562995777930.00478343700422207
580.006810.0013210023154920.005488997684508
590.007860.003291056845219310.00456894315478069
600.011430.0133300644221592-0.00190006442215923
610.008710.004819416669758880.00389058333024112
620.003010.0001074715495906170.00290252845040938
630.00340.002303514291763770.00109648570823623
640.003510.00711967390408594-0.00360967390408594
650.003-5.7623791752569e-050.00305762379175257
660.0042-0.002153588554704130.00635358855470412
670.021830.0372064935705391-0.0153764935705391
680.026590.0437618634047969-0.0171718634047969
690.048820.0648206258877459-0.0160006258877459
700.024310.0426471317040811-0.0183371317040811
710.025990.0405703506063042-0.0145803506063043
720.033610.0507164353164154-0.0171064353164154
730.004420.002369919886620920.00205008011337908
740.006230.0154893899346897-0.00925938993468972
750.00479-0.0016891331767470.006479133176747
760.004720.00624855048661397-0.00152855048661397
770.009050.0162278598720111-0.00717785987201114
780.0042-0.007576995448888650.0117769954488886
790.010620.0178883830672572-0.0072683830672572
800.02220.0512477496548809-0.0290477496548809
810.018230.0237320312807261-0.00550203128072615
820.018250.0297770983212895-0.0115270983212895
830.012370.01345917443349-0.00108917443348995
840.008820.003908170809771240.00491182919022876
850.05470.04504645586493380.00965354413506618
860.027820.01775216399520550.0100678360047945
870.031510.01780463853403190.0137053614659681
880.048240.03333601649017240.0149039835098276
890.042140.0263043105517840.015835689448216
900.072230.03744496604541220.0347850339545878
910.087250.04379320708082750.0434567929191725
920.016580.0298450383977505-0.0132650383977505
930.019140.01552098026676260.00361901973323738
940.012110.0210961412977804-0.00898614129778045
950.00850.00850467882168488-4.67882168488402e-06
960.010180.0127350087578882-0.00255500875788823
970.008520.0161812972430441-0.00766129724304415
980.081510.07826579910803370.00324420089196628
990.103230.0996310245894340.00359897541056596
1000.167440.1394762397401540.027963760259846
1010.314820.2793929758999430.0354270241000573
1020.118430.1074078831480390.0110221168519607
1030.25930.2305131400131790.028786859986821
1040.00495-0.009617175649982350.0145671756499824
1050.00243-0.005587984095030190.00801798409503019
1060.00578-0.0006569810374328390.00643698103743284
1070.00233-0.00415197539545170.0064819753954517
1080.006590.0020217036674450.004568296332555
1090.00238-0.006781936415058740.00916193641505874
1100.009470.0361517819863741-0.0266817819863741
1110.007040.0160857154032386-0.00904571540323858
1120.00830.0256902495061455-0.0173902495061455
1130.013160.0279890200120197-0.0148290200120197
1140.00620.0167608204154266-0.0105608204154266
1150.010480.0205841186958898-0.0101041186958898
1160.060510.03702761559595160.0234823844040484
1170.015540.0220434722475648-0.00650347224756479
1180.018020.01613276902415640.00188723097584361
1190.008560.0156855703320864-0.00712557033208637
1200.006810.0198935220071478-0.0130835220071478
1210.02350.027103913771914-0.00360391377191397
1220.011610.006233149485377980.00537685051462202
1230.019680.0308960003668624-0.0112160003668624
1240.018130.0314243687027077-0.0132943687027077
1250.02020.0240500621809375-0.00385006218093753
1260.018740.0233501891263376-0.00461018912633762
1270.017940.009602612572342610.00833738742765739
1280.017960.0205639636604175-0.00260396366041755
1290.017240.01591937724568690.00132062275431308
1300.00487-0.006183794039163590.0110537940391636
1310.01610.0204307602634911-0.00433076026349113
1320.010150.007958062712070070.00219193728792992
1330.009030.004662224187963870.00436777581203613
1340.005040.002795262874147370.00224473712585263
1350.030310.0310884592308279-0.000778459230827901
1360.025290.0255297511613829-0.000239751161382864
1370.022780.01238473806115640.0103952619388436
1380.03690.02772554580727710.00917445419272293
1390.026290.0329816808821208-0.00669168088212084
1400.018270.01478526328026670.00348473671973331
1410.024850.02468295902510350.000167040974896478
1420.042380.0517183414688555-0.00933834146885552
1430.017280.01583069944621240.00144930055378757
1440.02010.01433244204018490.00576755795981513
1450.010490.01014059799391950.000349402006080487
1460.014930.0203024195925629-0.00537241959256288
1470.07530.0907885942112931-0.0154885942112931
1480.060570.0903992568735996-0.0298292568735996
1490.080690.096573163989517-0.015883163989517
1500.078890.0924565503040601-0.0135665503040601
1510.109520.1090869296362470.000433070363752782
1520.217130.2063076183661720.0108223816338278
1530.162650.1609516993972570.00169830060274346
1540.041790.03279495972701510.00899504027298489
1550.046110.03086466273629580.0152453372637042
1560.026310.0217929714061550.00451702859384496
1570.031910.0505434656471378-0.0186334656471378
1580.107480.130364895009217-0.0228848950092172
1590.038280.0711144839562132-0.0328344839562132
1600.026630.02351305939314710.00311694060685292
1610.020730.01633183627569660.0043981637243034
1620.02810.0352408480898687-0.00714084808986871
1630.027070.0316417140594275-0.00457171405942749
1640.014350.0236442260955131-0.00929422609551311
1650.038820.0471414460266709-0.0083214460266709
1660.00620.0106314004844427-0.0044314004844427
1670.005330.0136746865118272-0.00834468651182724
1680.00910.022348135877156-0.013248135877156
1690.013370.0392170190900813-0.0258470190900813
1700.009650.0315953759233719-0.0219453759233719
1710.010490.0288104385007105-0.0183204385007105
1720.004350.00519883647322421-0.000848836473224213
1730.0043-0.002003505139916790.00630350513991679
1740.00478-0.001928334284261490.00670833428426149
1750.00590.002156933524344890.00374306647565511
1760.00401-0.002074346091363240.00608434609136324
1770.00415-0.005350948869757290.00950094886975729
1780.0057-0.0005101840758983210.00621018407589832
1790.00488-0.005167843526666720.0100478435266667
1800.0054-0.000952369207952560.00635236920795256
1810.006110.005968921366448060.000141078633551936
1820.00639-0.001424987138083860.00781498713808386
1830.00595-0.004374750962478970.010324750962479
1840.009550.0111200452620646-0.00157004526206463
1850.011790.0193713681610256-0.0075813681610256
1860.007370.005618554572612140.00175144542738786
1870.013970.0331076246645469-0.0191376246645469
1880.00680.0125382876415384-0.00573828764153842
1890.007030.0138669490952836-0.00683694909528358
1900.044410.04036677376711480.00404322623288519
1910.027640.034175305947352-0.00653530594735197
1920.01810.0318785927561223-0.0137785927561223
1930.107150.09226222415345010.0148877758465499
1940.072230.0450375756152890.027192424384711
1950.043980.01968062533025660.0242993746697434


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
260.01389812300663880.02779624601327760.986101876993361
270.003218107125499190.006436214250998380.996781892874501
280.0006642388359927950.001328477671985590.999335761164007
290.0001108457412319010.0002216914824638010.999889154258768
301.98638469452729e-053.97276938905458e-050.999980136153055
312.91396073358409e-065.82792146716818e-060.999997086039266
326.50362860836289e-071.30072572167258e-060.999999349637139
331.28961738537196e-072.57923477074391e-070.999999871038261
344.56125644840177e-089.12251289680355e-080.999999954387435
356.9805572954537e-091.39611145909074e-080.999999993019443
361.02283727622706e-092.04567455245413e-090.999999998977163
372.73028757653209e-095.46057515306419e-090.999999997269712
385.82508857865945e-101.16501771573189e-090.999999999417491
391.35823778021515e-102.71647556043031e-100.999999999864176
406.32871651951899e-111.2657433039038e-100.999999999936713
411.10099235017087e-112.20198470034174e-110.99999999998899
425.61112355056668e-121.12222471011334e-110.999999999994389
439.60046743272387e-131.92009348654477e-120.99999999999904
441.67994824414341e-133.35989648828681e-130.999999999999832
452.93004315544637e-145.86008631089275e-140.999999999999971
464.91833747997146e-159.83667495994292e-150.999999999999995
478.12923991076088e-161.62584798215218e-150.999999999999999
481.94007216449807e-163.88014432899614e-161
491.07422015207926e-152.14844030415852e-150.999999999999999
503.11163834050033e-166.22327668100065e-161
515.54222544305213e-171.10844508861043e-161
528.97794174424545e-181.79558834884909e-171
533.9988620032244e-187.99772400644881e-181
541.51866857096274e-183.03733714192547e-181
552.48836740076774e-194.97673480153547e-191
564.84972507488457e-209.69945014976914e-201
577.85170649864049e-211.5703412997281e-201
581.54866332927426e-213.09732665854852e-211
592.97964613527965e-225.9592922705593e-221
607.23974330092515e-231.44794866018503e-221
611.44454062238191e-232.88908124476382e-231
621.86154529718508e-233.72309059437016e-231
638.30554613420661e-241.66110922684132e-231
645.29354939682418e-241.05870987936484e-231
651.28387698891005e-242.56775397782011e-241
662.56360572886677e-255.12721145773353e-251
671.166292306104e-242.33258461220801e-241
683.77689423722362e-257.55378847444725e-251
691.86545770814908e-253.73091541629816e-251
707.85100490966764e-261.57020098193353e-251
711.85219683419735e-263.70439366839471e-261
722.28865085432683e-264.57730170865365e-261
737.5423461534562e-271.50846923069124e-261
742.6215967181089e-275.24319343621779e-271
754.81812714192743e-289.63625428385485e-281
768.34061156128742e-291.66812231225748e-281
777.76734012190267e-291.55346802438053e-281
781.91244734017616e-293.82489468035232e-291
791.21318015959951e-292.42636031919903e-291
802.34733294942427e-294.69466589884853e-291
817.61161614385878e-301.52232322877176e-291
822.67714825474331e-305.35429650948663e-301
835.7185222045786e-311.14370444091572e-301
841.02620099198306e-312.05240198396611e-311
851.57158910946713e-183.14317821893427e-181
866.93511237688941e-191.38702247537788e-181
877.76314912209831e-191.55262982441966e-181
886.58216660124865e-181.31643332024973e-171
893.51692250135586e-187.03384500271171e-181
904.01023940328707e-128.02047880657414e-120.99999999999599
911.05066489315973e-052.10132978631945e-050.999989493351068
921.46347101214336e-052.92694202428672e-050.999985365289879
938.56438771115972e-061.71287754223194e-050.999991435612289
947.9283450560529e-061.58566901121058e-050.999992071654944
956.53810499859279e-061.30762099971856e-050.999993461895001
964.35870803449529e-068.71741606899058e-060.999995641291965
973.07796068390974e-066.15592136781947e-060.999996922039316
980.0002552903429811520.0005105806859623040.999744709657019
990.008753643334472060.01750728666894410.991246356665528
1000.1709438078238530.3418876156477060.829056192176147
1010.8545600642921530.2908798714156930.145439935707847
1020.8602837526155820.2794324947688360.139716247384418
1030.975676156622890.04864768675422060.0243238433771103
1040.9864477511491720.02710449770165590.013552248850828
1050.9855512159975010.02889756800499750.0144487840024988
1060.9821842595464180.03563148090716480.0178157404535824
1070.9773675544560980.04526489108780490.0226324455439024
1080.9719698326389280.05606033472214420.0280301673610721
1090.9670624832918250.06587503341635050.0329375167081753
1100.9953641422562910.009271715487418660.00463585774370933
1110.9951073027938710.00978539441225740.0048926972061287
1120.9970984633089980.005803073382003450.00290153669100172
1130.9980280547490530.003943890501894880.00197194525094744
1140.9979301454399460.004139709120108450.00206985456005423
1150.9974052904605410.0051894190789170.0025947095394585
1160.9996954797244470.0006090405511060330.000304520275553016
1170.9996204922603420.000759015479316250.000379507739658125
1180.99963072564990.0007385487002009190.000369274350100459
1190.9994701746323090.00105965073538140.000529825367690699
1200.9997604518307430.0004790963385132490.000239548169256625
1210.9997238738857570.0005522522284852180.000276126114242609
1220.9997132703318450.0005734593363098980.000286729668154949
1230.99977748326690.000445033466199370.000222516733099685
1240.9997764058309140.0004471883381725020.000223594169086251
1250.9996916430552430.0006167138895143260.000308356944757163
1260.9995906900427740.0008186199144524580.000409309957226229
1270.9994178739621610.001164252075678070.000582126037839036
1280.9991892228293640.001621554341271750.000810777170635874
1290.998786534028610.002426931942780090.00121346597139004
1300.9983282694137970.003343461172405740.00167173058620287
1310.9975144249187330.004971150162533520.00248557508126676
1320.9966032189328390.006793562134321360.00339678106716068
1330.9963137809811450.0073724380377110.0036862190188555
1340.9944150679159460.01116986416810870.00558493208405436
1350.9917313245022440.01653735099551140.00826867549775568
1360.9880384832028520.02392303359429560.0119615167971478
1370.984752224118440.03049555176312030.0152477758815602
1380.9953173149243550.009365370151289950.00468268507564497
1390.9944629492923110.01107410141537730.00553705070768865
1400.9930162662665140.0139674674669730.0069837337334865
1410.9895481741340110.02090365173197830.0104518258659892
1420.9923366138753040.01532677224939120.00766338612469561
1430.9888221304771740.02235573904565260.0111778695228263
1440.9838620696113780.03227586077724330.0161379303886216
1450.9768707346798910.04625853064021780.0231292653201089
1460.9666762445654020.06664751086919660.0333237554345983
1470.9612099946649550.07758001067008960.0387900053350448
1480.9585369865891430.08292602682171320.0414630134108566
1490.9473931321833860.1052137356332270.0526068678166135
1500.961273775899060.07745244820187970.0387262241009398
1510.9557819320268420.08843613594631620.0442180679731581
1520.9851355850049710.02972882999005760.0148644149950288
1530.9782580512263010.04348389754739760.0217419487736988
1540.9672667309816810.06546653803663790.032733269018319
1550.98926143989210.02147712021580010.0107385601079
1560.9937202917459930.01255941650801450.00627970825400727
1570.9911535818767230.0176928362465550.00884641812327748
1580.9991639843927470.001672031214506870.000836015607253434
1590.9999476160053130.0001047679893730615.23839946865307e-05
1600.9998739897847060.0002520204305877570.000126010215293879
1610.9999094172771690.0001811654456622239.05827228311115e-05
1620.9998539751904810.0002920496190385910.000146024809519296
1630.9998431720344820.0003136559310356580.000156827965517829
1640.9996859033983050.0006281932033903430.000314096601695171
1650.9991608834722760.001678233055447060.000839116527723531
1660.9974172938830420.005165412233915840.00258270611695792
1670.9960152560880220.007969487823955590.0039847439119778
1680.9978945958786380.004210808242724310.00210540412136215
1690.9919202003405680.01615959931886430.00807979965943215


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1080.75NOK
5% type I error level1320.916666666666667NOK
10% type I error level1400.972222222222222NOK