Multiple Linear Regression - Estimated Regression Equation
Depression[t] = + 7.49200704176759 + 0.0408955674052273CriticParents[t] -0.0669085142751476ExpecParents[t] + 0.586756102445572FutureWorrying[t] + 0.202166740732203SleepDepri[t] + 0.35634657786847ChangesLastYear[t] -0.121340486208485FreqSmoking[t] + 0.264713129723179FreqHighAlc[t] + 0.292590037590936FreqBeerOrWine[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.492007041767591.4452385.18391e-060
CriticParents0.04089556740522730.1157540.35330.7244120.362206
ExpecParents-0.06690851427514760.086583-0.77280.4410.2205
FutureWorrying0.5867561024455720.1682573.48730.0006580.000329
SleepDepri0.2021667407322030.1412081.43170.1545250.077263
ChangesLastYear0.356346577868470.1349222.64110.009230.004615
FreqSmoking-0.1213404862084850.273487-0.44370.657980.32899
FreqHighAlc0.2647131297231790.3146050.84140.4015930.200796
FreqBeerOrWine0.2925900375909360.2785321.05050.2953640.147682


Multiple Linear Regression - Regression Statistics
Multiple R0.453459545887258
R-squared0.205625559756278
Adjusted R-squared0.158897651506647
F-TEST (value)4.40048714908833
F-TEST (DF numerator)8
F-TEST (DF denominator)136
p-value9.38949108088005e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.89966249185119
Sum Squared Residuals1143.49378906421


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11212.0805628449277-0.0805628449276666
21111.9235069029631-0.923506902963089
31415.4094415553154-1.40944155531539
41211.87175058740730.128249412592660
52116.16183095394494.8381690460551
61213.4046617162138-1.40466171621376
72215.20811735272996.7918826472701
81113.294824974175-2.29482497417500
91012.3079978875984-2.30799788759839
101312.97325832149990.0267416785001346
111013.7575717009992-3.75757170099921
12812.2979245276434-4.29792452764335
131514.43345471703350.566545282966519
141012.2059971291089-2.20599712910895
151412.84438406456611.15561593543394
161410.39537858324693.6046214167531
171112.9877181789441-1.98771817894410
181012.9894302733557-2.98943027335566
191314.5340560419106-1.53405604191056
20710.8530854073948-3.85308540739482
211213.9630218499075-1.96302184990746
221412.95228907700891.04771092299107
231112.3766356140442-1.37663561404422
24911.4521237868814-2.45212378688137
251112.1626005016107-1.16260050161066
261513.56867303748381.43132696251624
271313.1981328501974-0.198132850197392
2899.75538643577493-0.755386435774928
291510.19142914083584.80857085916418
301012.7560557753254-2.75605577532537
311110.92374366461350.0762563353865289
321311.57128057455751.42871942544252
33810.6086037247257-2.60860372472569
342013.83970310421816.16029689578191
351213.1994426294348-1.19944262943476
361010.4759398798182-0.475939879818229
371012.3306278138505-2.33062781385050
38912.7449262774030-3.74492627740305
391414.8647940804501-0.86479408045014
40811.0725370447259-3.07253704472590
411412.08413758201631.91586241798366
421112.567986413666-1.56798641366600
431311.36386469239481.63613530760518
441112.1122347878330-1.11223478783297
451111.9822838799943-0.98228387999426
461012.1329437878707-2.13294378787075
471410.59424016507453.40575983492549
481813.79198028883374.20801971116633
491412.58972592616611.41027407383393
501113.1558663500304-2.15586635003041
511211.23911941933090.760880580669071
521313.1832502296621-0.183250229662084
53913.9792753460670-4.97927534606705
541012.3104228182865-2.31042281828649
551513.63701645868041.36298354131957
562014.10019760740035.89980239259967
571211.70343823724010.296561762759900
581212.1199054413807-0.119905441380711
591411.25147826801122.74852173198882
601314.9218163051899-1.92181630518988
611114.2759504044091-3.27595040440913
621713.31480353572483.68519646427524
631212.1222701077126-0.122270107712629
641312.84391856063810.156081439361885
651413.84062439731940.159375602680603
661310.69388708643312.30611291356686
671513.98348427093521.0165157290648
681311.89260647893961.10739352106036
691013.6050017195018-3.60500171950182
701111.2954337208940-0.295433720893954
711312.83330597686690.166694023133087
721714.13346856366162.86653143633839
731312.94565182022850.0543481797715108
74911.8461956050346-2.84619560503464
751112.3572945704317-1.35729457043169
761010.0936373227236-0.0936373227235615
77910.1996736606694-1.19967366066936
781211.45497568205020.545024317949755
791212.4198409594227-0.419840959422669
801312.27975510375350.720244896246507
811312.36250351985520.637496480144759
822214.64898659616707.35101340383298
831311.99568885034391.00431114965606
841513.66583987577581.33416012422415
851314.1858042120834-1.18580421208342
861511.64013091154373.35986908845631
871011.6114389131177-1.61143891311767
881110.78909948094010.210900519059895
891614.13530820716471.86469179283533
901111.8993022808498-0.899302280849812
911112.2999647274325-1.29996472743248
921012.5555985598113-2.55559855981128
931014.5203082518953-4.52030825189527
941614.04187529201421.9581247079858
951213.3111487926171-1.31114879261707
961113.6768538243424-2.67685382434239
971614.31496482041091.68503517958910
981914.8616387112744.13836128872598
991114.8795757571412-3.87957575714115
1001512.5210639080452.47893609195499
1012416.32147807550017.67852192449986
1021411.51190244891102.48809755108905
1031513.44673015421441.5532698457856
1041114.7404744662841-3.74047446628405
1051513.22981645071611.77018354928388
1061212.7913012044466-0.791301204446649
1071010.6950402700760-0.695040270075978
1081413.64304959312790.356950406872131
109912.7424535712216-3.74245357122163
1101510.46920682303644.53079317696355
111159.684206566414965.31579343358504
1121412.84536861629631.15463138370367
1131114.0815179803778-3.0815179803778
114814.2146627734475-6.21466277344749
1151114.1080885041867-3.10808850418670
116811.6187647066161-3.61876470661612
1171011.2876993236633-1.28769932366329
1181113.4296441481942-2.42964414819416
1191313.9924275035589-0.992427503558935
1201113.6864081234133-2.6864081234133
1212012.68599736633767.31400263366237
1221012.0897220832703-2.08972208327026
1231210.74505027909421.25494972090576
1241412.40576242218991.59423757781014
1252313.74399338523779.25600661476226
1261412.64186988393661.35813011606345
1271615.09885495538360.901145044616358
1281113.2935633971562-2.29356339715624
1291213.9791757181162-1.97917571811624
1301013.5188769807189-3.51887698071890
1311413.72364151368820.276358486311758
132129.646003431024132.35399656897587
1331213.4775159069585-1.47751590695849
1341110.02391957358660.97608042641338
1351212.2535525196977-0.253552519697721
1361315.6147192027332-2.61471920273317
1371716.25187291751040.748127082489616
1381112.1626005016107-1.16260050161066
1391213.5154478216585-1.51544782165847
1401914.95829277966724.04170722033279
1411513.66583987577581.33416012422415
1421413.30770334178260.692296658217409
1431113.4296441481942-2.42964414819416
144910.4591886130326-1.45918861303263
1451811.65399044878486.34600955121516


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.1926259162491300.3852518324982590.80737408375087
130.2991785534902830.5983571069805660.700821446509717
140.4558260158513850.911652031702770.544173984148615
150.4008522288423880.8017044576847770.599147771157612
160.5534259210343960.8931481579312090.446574078965604
170.4692885565420590.9385771130841170.530711443457941
180.3834390085294840.7668780170589680.616560991470516
190.48998776172620.97997552345240.5100122382738
200.4193359699864650.838671939972930.580664030013535
210.3523178483994790.7046356967989580.647682151600521
220.3982272284687390.7964544569374780.601772771531261
230.4443793023685790.8887586047371590.555620697631421
240.3723115061432550.744623012286510.627688493856745
250.3156463276307380.6312926552614750.684353672369262
260.2743959391834840.5487918783669670.725604060816516
270.2245671129031660.4491342258063320.775432887096834
280.1893649141441130.3787298282882260.810635085855887
290.2479709625405080.4959419250810160.752029037459492
300.2079402576804490.4158805153608990.79205974231955
310.1709762506716090.3419525013432180.829023749328391
320.1341917441517340.2683834883034680.865808255848266
330.1293315846030510.2586631692061030.870668415396949
340.1466330336950040.2932660673900090.853366966304996
350.1490755878789850.2981511757579690.850924412121015
360.1541337838135120.3082675676270250.845866216186488
370.1944183746565010.3888367493130020.805581625343499
380.2467681494256590.4935362988513190.753231850574341
390.2703915726816620.5407831453633250.729608427318338
400.2639926092850950.5279852185701910.736007390714905
410.2756575599020650.5513151198041310.724342440097935
420.2447134600569360.4894269201138730.755286539943063
430.2439744738468690.4879489476937390.75602552615313
440.2080684380716160.4161368761432320.791931561928384
450.1731295247408680.3462590494817370.826870475259132
460.1516488136185840.3032976272371670.848351186381416
470.1583846375761890.3167692751523770.841615362423811
480.2590579830664650.518115966132930.740942016933535
490.2429757833422140.4859515666844280.757024216657786
500.2148409012068930.4296818024137870.785159098793107
510.1816944151220130.3633888302440260.818305584877987
520.1482986211536260.2965972423072510.851701378846374
530.2121029651868040.4242059303736080.787897034813196
540.2046433136957150.409286627391430.795356686304285
550.1872056526830210.3744113053660430.812794347316979
560.2798109225848990.5596218451697990.7201890774151
570.2414022484016400.4828044968032800.75859775159836
580.2092396217707750.4184792435415490.790760378229225
590.1951271177351410.3902542354702810.80487288226486
600.2085960301245090.4171920602490170.791403969875491
610.2595876484504180.5191752969008370.740412351549582
620.2974081852942350.594816370588470.702591814705765
630.2553414305770980.5106828611541950.744658569422902
640.2168113134630580.4336226269261160.783188686536942
650.182770896272030.365541792544060.81722910372797
660.1704066738499620.3408133476999240.829593326150038
670.1462335250473820.2924670500947640.853766474952618
680.1224404944081830.2448809888163660.877559505591817
690.1314071430552250.2628142861104510.868592856944775
700.1065068826163670.2130137652327340.893493117383633
710.08521511601751080.1704302320350220.914784883982489
720.0915782888547660.1831565777095320.908421711145234
730.07266564656141450.1453312931228290.927334353438586
740.07298037838491860.1459607567698370.927019621615081
750.06020302347687550.1204060469537510.939796976523125
760.04826574808179110.09653149616358220.95173425191821
770.04192889282218530.08385778564437050.958071107177815
780.03234286149404210.06468572298808430.967657138505958
790.02456126063671600.04912252127343210.975438739363284
800.01872880996654330.03745761993308670.981271190033457
810.01458481194177640.02916962388355280.985415188058224
820.07723045767693320.1544609153538660.922769542323067
830.06179378552698830.1235875710539770.938206214473012
840.04958236561099090.09916473122198170.95041763438901
850.03951006032199330.07902012064398660.960489939678007
860.040453400239240.080906800478480.95954659976076
870.03380602643020430.06761205286040860.966193973569796
880.02529067089354000.05058134178708010.97470932910646
890.02184436262541980.04368872525083970.97815563737458
900.01711021760032640.03422043520065280.982889782399674
910.01400762393752920.02801524787505840.98599237606247
920.01354034075109750.02708068150219490.986459659248903
930.01943072272637640.03886144545275270.980569277273624
940.01564936285195520.03129872570391050.984350637148045
950.01225480177966040.02450960355932080.98774519822034
960.01278845728419350.02557691456838710.987211542715806
970.01131223229285640.02262446458571280.988687767707144
980.01789570004944740.03579140009889490.982104299950552
990.0202178402154090.0404356804308180.97978215978459
1000.01662351933674340.03324703867348670.983376480663257
1010.08264663511104620.1652932702220920.917353364888954
1020.07564854080849380.1512970816169880.924351459191506
1030.0620392089681170.1240784179362340.937960791031883
1040.06222811305003130.1244562261000630.937771886949969
1050.05084741924110140.1016948384822030.949152580758899
1060.0391488678128840.0782977356257680.960851132187116
1070.03333962819637460.06667925639274910.966660371803626
1080.02401551745519720.04803103491039450.975984482544803
1090.02232476416072050.04464952832144090.97767523583928
1100.03234146942549690.06468293885099380.967658530574503
1110.04323079648167760.08646159296335520.956769203518322
1120.03233701298296840.06467402596593670.967662987017032
1130.03164264599968550.0632852919993710.968357354000315
1140.05828248337040150.1165649667408030.941717516629599
1150.06003746294310440.1200749258862090.939962537056896
1160.09508091532778850.1901618306555770.904919084672211
1170.07326605719487470.1465321143897490.926733942805125
1180.06089459665887410.1217891933177480.939105403341126
1190.04420525888042920.08841051776085830.95579474111957
1200.05323289541165440.1064657908233090.946767104588346
1210.2177809617056280.4355619234112570.782219038294372
1220.2444192014128350.4888384028256710.755580798587165
1230.1898465513775900.3796931027551790.81015344862241
1240.1660343039381120.3320686078762250.833965696061888
1250.5811319003780310.8377361992439380.418868099621969
1260.8659211237662550.268157752467490.134078876233745
1270.85803508642070.2839298271586010.141964913579301
1280.7951455517234920.4097088965530170.204854448276508
1290.7327688946566020.5344622106867950.267231105343398
1300.710976262618150.5780474747636990.289023737381849
1310.7064989221703550.5870021556592910.293501077829645
1320.6132844378967280.7734311242065450.386715562103272
1330.7793676018636150.4412647962727690.220632398136385


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level170.139344262295082NOK
10% type I error level320.262295081967213NOK