Multiple Linear Regression - Estimated Regression Equation
PS[t] = + 7.649467706356 -1.23162104238454Gender[t] + 0.252442484510156CM[t] + 0.0447956145838135CM_G[t] -0.183344002951500D[t] -0.130645172512862D_G[t] + 0.573211458789485PE[t] -0.284652770114989PE_G[t] -0.144270406337441PC[t] + 0.110306020586233PC_G[t] + 0.207928610225245O[t] + 0.161964789752105O_G[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.6494677063562.7744852.75710.0065720.003286
Gender-1.231621042384544.877395-0.25250.8009950.400497
CM0.2524424845101560.174971.44280.1512110.075605
CM_G0.04479561458381350.1138970.39330.6946670.347334
D-0.1833440029515000.345782-0.53020.5967520.298376
D_G-0.1306451725128620.226144-0.57770.5643450.282172
PE0.5732114587894850.3151161.81910.0709390.035469
PE_G-0.2846527701149890.21516-1.3230.1878960.093948
PC-0.1442704063374410.392223-0.36780.7135310.356766
PC_G0.1103060205862330.2775170.39750.6915940.345797
O0.2079286102252450.2243990.92660.3556520.177826
O_G0.1619647897521050.1595381.01520.3116730.155837


Multiple Linear Regression - Regression Statistics
Multiple R0.6216762962826
R-squared0.386481417359652
Adjusted R-squared0.340571863556632
F-TEST (value)8.41832223022465
F-TEST (DF numerator)11
F-TEST (DF denominator)147
p-value2.19315676730503e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.42438888696967
Sum Squared Residuals1723.78656963260


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12521.88228318778813.11771681221186
23024.69969795905785.3003020409422
32220.67283947823531.32716052176471
42223.2172477003945-1.21724770039454
52522.73996096544012.26003903455985
62319.51969509343203.48030490656795
71719.3385350459549-2.33853504595487
82122.0094817127892-1.00948171278924
91923.7341169344749-4.7341169344749
101522.9461870992115-7.94618709921148
111617.3941561848706-1.39415618487064
122220.75478193400671.24521806599330
132324.3977577855181-1.39775778551813
142321.60128625311071.39871374688932
151922.4316112343517-3.4316112343517
162322.79350634595760.206493654042413
172523.77036272412271.22963727587728
182221.93163764951450.0683623504855256
192623.58466119985342.41533880014655
202923.60609301966845.39390698033159
213225.04079534325966.95920465674041
222522.24419244700412.75580755299586
232826.31735533841881.68264466158119
242523.60449367640521.39550632359480
252522.83127810128922.16872189871083
261821.7760006151216-3.77600061512159
272524.82801820300080.171981796999165
282522.52560393574862.47439606425144
292024.0023423110419-4.00234231104186
301516.5489407322832-1.54894073228324
312425.2136967791899-1.21369677918994
322624.22692510925241.77307489074755
331416.4988057281025-2.49880572810253
342423.68820762411940.311792375880633
352522.29011424697102.70988575302905
362024.8228294406094-4.82282944060945
372121.3379147072532-0.337914707253223
382727.3806373577635-0.380637357763498
392324.8875313004724-1.88753130047238
402525.9236847186639-0.923684718663891
412022.3048028084823-2.30480280848232
422222.7351814508955-0.73518145089549
432524.20338498864210.796615011357936
442523.48883642366111.51116357633895
451723.6354773260822-6.63547732608218
462524.23705304525680.762946954743247
472622.63334127880563.36665872119444
482724.48335679319152.51664320680847
491920.034027614319-1.03402761431901
502222.5712761469369-0.5712761469369
513228.99334525618653.00665474381354
522124.7417584656952-3.74175846569519
531821.5563365981081-3.55633659810815
542323.1025501030034-0.102550103003391
552021.8295927359971-1.82959273599708
562122.6142313584396-1.61423135843962
571719.2372963735278-2.23729637352783
581820.3155783697159-2.31557836971592
591920.9172996003486-1.91729960034863
602222.4071052135827-0.407105213582674
611419.2545777542679-5.25457775426785
621826.5470290665061-8.5470290665061
633523.991131907947311.0088680920527
642918.883085011027310.1169149889727
652122.3522465116134-1.35224651161343
662521.22534675749493.77465324250508
672622.83719972719153.16280027280853
681717.5001681270367-0.500168127036687
692520.48704542767164.51295457232843
702020.3710266060241-0.371026606024127
712221.22329673224720.776703267752824
722422.66000764694831.33999235305170
732123.211232304497-2.21123230449701
742625.21224200879950.787757991200531
752420.77056086541283.22943913458719
761620.5381252902889-4.53812529028889
771820.8620827426893-2.8620827426893
781919.5746801581444-0.574680158144449
792117.48608106518823.51391893481177
802218.67641485437513.32358514562488
812319.64061854866653.35938145133349
822924.92513184570984.0748681542902
832120.33238844104740.667611558952551
842322.47915276999750.520847230002499
852723.09334663301993.90665336698007
862525.665739034365-0.665739034365007
872121.1025899837641-0.102589983764134
881017.5450137047189-7.54501370471889
892022.7748382661863-2.7748382661863
902622.40242636314513.59757363685485
912424.1709732057960-0.170973205796027
922932.039524903068-3.03952490306797
931919.6375594339080-0.637559433907965
942422.86785351639861.13214648360137
951921.1918508495598-2.19185084955978
962222.2332378774937-0.233237877493686
971724.1770748831824-7.17707488318236
982423.18915257569780.810847424302161
991920.1213719624976-1.12137196249761
1001922.2397545862169-3.23975458621689
1012319.01195289827153.98804710172846
1022723.99969846635343.00030153364658
1031415.0272740449087-1.02727404490866
1042223.0668347665731-1.06683476657306
1052122.480071673226-1.48007167322601
1061823.6785415443543-5.67854154435434
1072023.5712368913594-3.57123689135940
1081923.1012937277056-4.10129372770564
1092422.92318700733251.07681299266751
1102526.0974028906659-1.09740289066593
1112924.57029194303654.42970805696352
1122825.00806463768262.99193536231743
1131715.87959474508431.12040525491572
1142922.44707816052616.55292183947392
1152626.9014120632511-0.901412063251071
1161417.8390211128729-3.83902111287286
1172621.69470808580764.30529191419237
1182020.1628931194827-0.162893119482682
1193224.73787797320987.2621220267902
1202321.28606633760281.71393366239721
1212121.9949450332778-0.994945033277756
1223024.69545439984945.30454560015062
1232420.88895785556723.11104214443275
1242222.6345480739457-0.634548073945691
1252422.26111114416451.73888885583555
1262422.42763447522331.57236552477667
1272420.27712560196593.72287439803415
1281918.04925196308420.950748036915772
1293127.81845366597213.18154633402795
1302226.8821117405066-4.88211174050665
1312720.74531009632676.25468990367332
1321917.50946730120921.49053269879080
1332118.44468556362162.55531443637837
1342323.6545548145521-0.654554814552129
1351920.6273326694800-1.62733266948003
1361922.8328678522258-3.83286785222581
1372022.0710595177597-2.07105951775966
1382321.39324534532701.60675465467296
1391720.2204281949549-3.22042819495492
1401722.5158548399329-5.51585483993291
1411719.6490080600547-2.64900806005469
1422124.0813306672545-3.08133066725445
1432123.9449545369319-2.94495453693186
1441820.6650625429321-2.66506254293215
1451920.1098547493404-1.10985474934044
1462024.2900101615384-4.29001016153837
1471517.6814817408554-2.68148174085543
1482421.55555491219712.44444508780294
1492017.93995064964972.06004935035033
1502222.2540686796497-0.25406867964966
1511315.6183134640767-2.61831346407673
1521917.88589379986251.11410620013753
1532121.2774151677470-0.277415167746951
1542322.48369687599430.516303124005700
1551622.0445536366044-6.04455363660442
1562622.07289158947833.92710841052168
1572122.1738873024122-1.17388730241222
1582120.10468558914510.895314410854857
1592423.18820451161000.811795488390046


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
150.9910899284354470.01782014312910540.00891007156455268
160.9789930761537670.04201384769246580.0210069238462329
170.9582323405019660.08353531899606850.0417676594980342
180.9284799737602770.1430400524794460.071520026239723
190.9219148945979650.1561702108040700.0780851054020352
200.9408727456067960.1182545087864090.0591272543932044
210.9676516166485740.06469676670285130.0323483833514256
220.9541071228191710.09178575436165740.0458928771808287
230.9315329853877780.1369340292244450.0684670146122223
240.9008286886933320.1983426226133360.099171311306668
250.8666276132730070.2667447734539850.133372386726993
260.8645066872324540.2709866255350920.135493312767546
270.8216655475927470.3566689048145070.178334452407253
280.7817841672645930.4364316654708140.218215832735407
290.8069567644268970.3860864711462070.193043235573103
300.7645940335754450.470811932849110.235405966424555
310.7150036960600880.5699926078798250.284996303939912
320.665223359444430.6695532811111390.334776640555569
330.6142927271582520.7714145456834960.385707272841748
340.5506093870421390.8987812259157220.449390612957861
350.5283169689454990.9433660621090020.471683031054501
360.6254470780098280.7491058439803430.374552921990172
370.5643906437476080.8712187125047850.435609356252392
380.5088395570037480.9823208859925040.491160442996252
390.466948294109280.933896588218560.53305170589072
400.4274238804641960.8548477609283920.572576119535804
410.3908752351400140.781750470280030.609124764859986
420.3369580030707020.6739160061414030.663041996929298
430.2865077861800030.5730155723600070.713492213819997
440.2519517143830360.5039034287660730.748048285616964
450.3904741840758610.7809483681517230.609525815924139
460.3386030675866090.6772061351732180.661396932413391
470.3304018060441870.6608036120883740.669598193955813
480.3202807385788830.6405614771577670.679719261421117
490.2742916240703540.5485832481407080.725708375929646
500.2369299778135010.4738599556270010.763070022186499
510.2178286772160260.4356573544320510.782171322783974
520.2285800481113170.4571600962226340.771419951888683
530.2257612863858160.4515225727716320.774238713614184
540.1873304454767870.3746608909535740.812669554523213
550.1618906902962470.3237813805924950.838109309703753
560.1358184491857770.2716368983715550.864181550814223
570.1156895631441200.2313791262882410.88431043685588
580.09954429521469060.1990885904293810.90045570478531
590.08452767930802940.1690553586160590.91547232069197
600.06613968610465810.1322793722093160.933860313895342
610.0844773504422510.1689547008845020.915522649557749
620.2537801870533540.5075603741067070.746219812946646
630.7021292261384210.5957415477231580.297870773861579
640.9239344970264530.1521310059470940.076065502973547
650.9082029578965510.1835940842068980.091797042103449
660.9192124399007950.1615751201984110.0807875600992054
670.9184233746268010.1631532507463980.081576625373199
680.8982855573165610.2034288853668780.101714442683439
690.910006700788320.1799865984233590.0899932992116797
700.8890990090561770.2218019818876470.110900990943823
710.8686567982317460.2626864035365070.131343201768254
720.8458434157318280.3083131685363450.154156584268172
730.824269337496930.3514613250061390.175730662503070
740.7967575977333030.4064848045333930.203242402266697
750.7898334112383260.4203331775233470.210166588761674
760.8024100468248460.3951799063503080.197589953175154
770.7883846211675230.4232307576649540.211615378832477
780.7533839317895210.4932321364209580.246616068210479
790.7539014819782020.4921970360435950.246098518021798
800.7380617471950040.5238765056099920.261938252804996
810.7244221802043560.5511556395912870.275577819795644
820.744869339141940.510261321716120.25513066085806
830.7724884214963880.4550231570072250.227511578503612
840.738852375180550.5222952496388990.261147624819450
850.7477066064162850.504586787167430.252293393583715
860.7236713366336890.5526573267326220.276328663366311
870.6817299099743560.6365401800512870.318270090025644
880.784955498359490.4300890032810210.215044501640510
890.7694338389856870.4611323220286270.230566161014313
900.7990465460492170.4019069079015670.200953453950783
910.7772335857884980.4455328284230030.222766414211502
920.753196435829290.4936071283414210.246803564170711
930.712325856919010.575348286161980.28767414308099
940.6687766693251210.6624466613497580.331223330674879
950.627791860221220.744416279557560.37220813977878
960.5794361222898430.8411277554203130.420563877710157
970.6108031917211430.7783936165577140.389196808278857
980.563059882521690.8738802349566210.436940117478311
990.5154197262827150.969160547434570.484580273717285
1000.4933080760481140.9866161520962280.506691923951886
1010.4831562049535270.9663124099070540.516843795046473
1020.4679533483025170.9359066966050330.532046651697484
1030.4209042247794340.8418084495588680.579095775220566
1040.3894791192913440.7789582385826870.610520880708656
1050.3625253520151460.7250507040302930.637474647984854
1060.433324250141310.866648500282620.56667574985869
1070.428895674135220.857791348270440.57110432586478
1080.4314114293317370.8628228586634750.568588570668263
1090.3903700711076530.7807401422153060.609629928892347
1100.3527407320545490.7054814641090970.647259267945451
1110.3681909266559840.7363818533119670.631809073344016
1120.3663249384925140.7326498769850280.633675061507486
1130.3257038791256820.6514077582513640.674296120874318
1140.4485440383779660.8970880767559320.551455961622034
1150.3947966711196650.789593342239330.605203328880335
1160.4061951530916270.8123903061832540.593804846908373
1170.4285637707958360.8571275415916720.571436229204164
1180.3721167197848500.7442334395696990.62788328021515
1190.6212112166464730.7575775667070550.378788783353527
1200.6405588630339350.7188822739321290.359441136966065
1210.5871040629162220.8257918741675570.412895937083778
1220.6251051064369650.749789787126070.374894893563035
1230.6174444495788500.7651111008422990.382555550421150
1240.5554869265145080.8890261469709840.444513073485492
1250.504277768860230.991444462279540.49572223113977
1260.4705499176530210.9410998353060430.529450082346979
1270.4800325126798730.9600650253597460.519967487320127
1280.4126649224145950.825329844829190.587335077585405
1290.635141235341140.729717529317720.36485876465886
1300.5943010029171090.8113979941657820.405698997082891
1310.7994014648230380.4011970703539240.200598535176962
1320.7382036274549240.5235927450901530.261796372545076
1330.6886521006771180.6226957986457650.311347899322882
1340.619324781585880.761350436828240.38067521841412
1350.5429985982799510.9140028034400980.457001401720049
1360.4680367935845620.9360735871691240.531963206415438
1370.3822355398996550.764471079799310.617764460100345
1380.3261071844389640.6522143688779270.673892815561036
1390.2722577657705690.5445155315411390.72774223422943
1400.3083379836165090.6166759672330190.69166201638349
1410.2251189626066460.4502379252132910.774881037393354
1420.1589199816885000.3178399633770000.8410800183115
1430.1161922857274140.2323845714548290.883807714272586
1440.06795274302209460.1359054860441890.932047256977905


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0153846153846154OK
10% type I error level50.0384615384615385OK