Multiple Linear Regression - Estimated Regression Equation

PS[t] = + 7.38188475102131 -0.694832870949954Gender[t] + 0.321027523643909CM[t] -0.338195452736301D[t] + 0.173368519441836PE[t] + 0.0172607039353986PC[t] + 0.421685657869128O[t] + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	7.38188475102131	2.24661	3.2858	0.001263	0.000631
Gender	-0.694832870949954	0.599422	-1.1592	0.248204	0.124102
CM	0.321027523643909	0.055821	5.751	0	0
D	-0.338195452736301	0.109073	-3.1006	0.002302	0.001151
PE	0.173368519441836	0.101665	1.7053	0.090183	0.045092
PC	0.0172607039353986	0.128585	0.1342	0.893394	0.446697
O	0.421685657869128	0.073824	5.712	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.610418712666873
R-squared	0.372611004773883
Adjusted R-squared	0.347845649699168
F-TEST (value)	15.0456556608918
F-TEST (DF numerator)	6
F-TEST (DF denominator)	152
p-value	1.78523862359725e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.40545024919715
Sum Squared Residuals	1762.75789276305

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	25	22.7378582605858	2.26214173941422
2	30	24.4376718452725	5.56232815472746
3	22	20.7026126229553	1.29738737704470
4	22	23.5665018410154	-1.56650184101536
5	25	22.9387186728665	2.06128132713354
6	23	19.7504954216258	3.24950457837419
7	17	19.2275845668015	-2.22758456680150
8	21	22.0359597998883	-1.03595979988830
9	19	23.4912102195706	-4.49121021957063
10	15	23.4166993992758	-8.4166993992758
11	16	17.2990904377145	-1.29909043771453
12	22	21.2290798406944	0.770920159305645
13	23	24.1698473768574	-1.16984737685742
14	23	21.8944949628928	1.10550503710720
15	19	22.5866509115143	-3.58665091151426
16	23	22.6890914233386	0.310908576661364
17	25	23.5832239533718	1.41677604662823
18	22	21.8517186856872	0.148281314312751
19	26	23.5137060001167	2.48629399988329
20	29	22.8057290969380	6.19427090306203
21	32	25.4453978278066	6.55460217219336
22	25	21.7536035595225	3.24639644047747
23	28	26.2012663450894	1.79873365491058
24	25	23.6820069351548	1.31799306484518
25	25	22.3545635400774	2.64543645992264
26	18	21.7879209859900	-3.78792098599003
27	25	25.2270064051068	-0.227006405106815
28	25	21.9542700298337	3.04572997016631
29	20	24.4461869816573	-4.44618698165727
30	15	16.7402392529852	-1.74023925298516
31	24	25.7794514231810	-1.77945142318095
32	26	24.6665563710760	1.33344362892404
33	14	15.9421852011246	-1.94218520112462
34	24	23.7782448874890	0.221755112510964
35	25	22.6695660358718	2.33043396412825
36	20	25.143423425131	-5.14342342513098
37	21	21.8175603591431	-0.817560359143123
38	27	27.6886526173553	-0.688652617355312
39	23	24.6280223698825	-1.62802236988252
40	25	25.9310747531044	-0.931074753104354
41	20	22.4574699475051	-2.45746994750511
42	22	22.7680787111711	-0.768078711171141
43	25	24.2849448824285	0.715055117571483
44	25	23.8426920110873	1.15730798891270
45	17	24.1401739101346	-7.14017391013457
46	25	24.1638307412915	0.836169258708496
47	26	22.8553212425766	3.14467875742336
48	27	24.6049406195009	2.39505938049909
49	19	20.5121508917850	-1.51215089178504
50	22	22.2003409164468	-0.200340916446782
51	32	28.7634779167201	3.23652208327987
52	21	24.4783026635523	-3.47830266355227
53	18	21.4664396275648	-3.46643962756478
54	23	23.0120969137014	-0.0120969137014117
55	20	20.9722555839277	-0.972255583927692
56	21	22.5050358588236	-1.50503585882360
57	17	18.9914786053849	-1.99147860538493
58	18	20.4410654313943	-2.44106543139431
59	19	20.7944689039832	-1.79446890398319
60	22	22.3186308539794	-0.318630853979425
61	14	19.0629535968650	-5.06295359686497
62	18	26.7665723383136	-8.76657233831357
63	35	23.5193619499825	11.4806380500175
64	29	19.5175457772127	9.4824542227873
65	21	22.2733115687134	-1.27331156871337
66	25	20.4411846560000	4.55881534400004
67	26	23.5312398815506	2.46876011844939
68	17	17.1043377886926	-0.104337788692593
69	25	20.3388084478676	4.66119155213239
70	20	21.1776507707811	-1.17765077078114
71	22	21.4149177828086	0.585082217191444
72	24	23.0912516937409	0.908748306259118
73	21	23.3247583614503	-2.32475836145027
74	26	25.8283374850337	0.171662514966333
75	24	20.7583406287655	3.24165937123445
76	16	20.5484727347340	-4.54847273473405
77	18	21.1408911291415	-3.1408911291415
78	19	19.3815389053367	-0.381538905336737
79	21	16.9930853842372	4.00691461576282
80	22	18.6780456381145	3.32195436188548
81	23	19.8972363425933	3.10276365740674
82	29	25.0045843316053	3.9954156683947
83	21	19.0747241041702	1.92527589582978
84	23	22.1411389088929	0.85886109110711
85	27	23.4116294192455	3.58837058075449
86	25	25.404617574799	-0.404617574799
87	21	21.2202679480633	-0.220267948063321
88	10	17.1922481757164	-7.19224817571643
89	20	22.7724061182191	-2.77240611821914
90	26	22.7745515771450	3.22544842285503
91	24	23.9919659006816	0.00803409931842777
92	29	31.8512285834216	-2.85122858342158
93	19	18.9916825867882	0.00831741321177223
94	24	22.2077579411796	1.79224205882037
95	19	21.008347369949	-2.00834736994899
96	22	22.0981686897177	-0.0981686897177283
97	17	23.9264970299455	-6.92649702994548
98	24	22.7349853748993	1.26501462510074
99	19	19.9777428297176	-0.977742829717594
100	19	22.4288875465789	-3.4288875465789
101	23	19.1045385730949	3.89546142690512
102	27	23.6633693805578	3.33663061944223
103	14	15.9022683526125	-1.90226835261250
104	22	23.5905842779772	-1.59058427797719
105	21	23.9350746908084	-2.93507469080843
106	18	23.4747097316158	-5.4747097316158
107	20	22.9187626148853	-2.91876261488528
108	19	22.9144636789883	-3.91446367898825
109	24	23.3339111030885	0.666088896911457
110	25	24.9025228969558	0.0974771030442204
111	29	24.1765133960819	4.82348660391814
112	28	24.5017755519308	3.49822444806924
113	17	16.8930926697612	0.106907330238805
114	29	22.5544118301732	6.44558816982677
115	26	27.2059238528174	-1.20592385281736
116	14	18.9908623851846	-4.99086238518461
117	26	21.296188782478	4.70381121752199
118	20	20.0314000939660	-0.0314000939659581
119	32	24.3305605094601	7.66943949053988
120	23	20.678981452842	2.32101854715798
121	21	21.7607518846793	-0.760751884679295
122	30	25.9100306229050	4.08996937709502
123	24	21.2467641290463	2.75323587095369
124	22	21.2618348668142	0.738165133185819
125	24	21.8786707228399	2.12132927716009
126	24	22.5244861144458	1.47551388555424
127	24	19.7317566999021	4.26824330009785
128	19	18.2074999536746	0.792500046325435
129	31	26.5738900163728	4.42610998362725
130	22	26.0989366253446	-4.09893662534457
131	27	20.9900909541577	6.00990904584234
132	19	17.5591495720536	1.44085042794643
133	21	19.0251697722184	1.97483022778159
134	23	22.8288843005763	0.171115699423733
135	19	21.0392453011057	-2.0392453011057
136	19	22.1947130232512	-3.19471302325118
137	20	22.7236569239704	-2.72365692397036
138	23	20.6950147810862	2.30498521891381
139	17	20.4612662780441	-3.46126627804412
140	17	22.9847318490327	-5.98473184903273
141	17	19.4487326039180	-2.44873260391805
142	21	23.2079892703595	-2.20798927035955
143	21	24.3524249235842	-3.3524249235842
144	18	20.7994617307804	-2.79946173078042
145	19	20.174481837742	-1.17448183774199
146	20	23.6444934169919	-3.64449341699193
147	15	18.4491687158757	-3.4491687158757
148	24	20.9069638303515	3.0930361696485
149	20	18.1002782000208	1.89972179997916
150	22	22.8543335487661	-0.854333548766058
151	13	16.3253568964252	-3.32535689642517
152	19	18.0725803043903	0.927419695609718
153	21	22.1715729658346	-1.17157296583456
154	23	22.0579450455256	0.94205495447439
155	16	21.9639533450056	-5.96395334500559
156	26	23.5542885105526	2.44571148944741
157	21	21.7951805177071	-0.795180517707085
158	21	19.7760370301778	1.22396296982216
159	24	23.1066813379950	0.893318662004957

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.96918116290349	0.0616376741930187	0.0308188370965094
11	0.94960498325604	0.100790033487919	0.0503950167439597
12	0.910199177603614	0.179601644792771	0.0898008223963856
13	0.897680475380423	0.204639049239154	0.102319524619577
14	0.883161313316011	0.233677373367978	0.116838686683989
15	0.846684915490134	0.306630169019731	0.153315084509866
16	0.781669637964087	0.436660724071826	0.218330362035913
17	0.707839980305813	0.584320039388374	0.292160019694187
18	0.633692682254575	0.732614635490851	0.366307317745426
19	0.643188863218717	0.713622273562565	0.356811136781282
20	0.726301671724044	0.547396656551912	0.273698328275956
21	0.829662075037792	0.340675849924416	0.170337924962208
22	0.796230309988827	0.407539380022346	0.203769690011173
23	0.744859432708105	0.510281134583791	0.255140567291895
24	0.684607342947542	0.630785314104915	0.315392657052458
25	0.628256505226388	0.743486989547225	0.371743494773612
26	0.63606996715192	0.72786006569616	0.36393003284808
27	0.574538850013241	0.850922299973519	0.425461149986759
28	0.527025027840594	0.945949944318812	0.472974972159406
29	0.577454716983629	0.84509056603274	0.42254528301637
30	0.527226871665651	0.945546256668698	0.472773128334349
31	0.473147974556078	0.946295949112157	0.526852025443922
32	0.421896572653231	0.843793145306461	0.57810342734677
33	0.372353305666047	0.744706611332094	0.627646694333953
34	0.316183568240440	0.632367136480879	0.68381643175956
35	0.300866293917917	0.601732587835834	0.699133706082083
36	0.406096808839719	0.812193617679438	0.593903191160281
37	0.350582297054213	0.701164594108426	0.649417702945787
38	0.304031116272859	0.608062232545717	0.695968883727141
39	0.271542731878073	0.543085463756146	0.728457268121927
40	0.242939987548019	0.485879975096039	0.75706001245198
41	0.217921775518445	0.43584355103689	0.782078224481555
42	0.180375505036233	0.360751010072467	0.819624494963767
43	0.146996612635592	0.293993225271185	0.853003387364408
44	0.125740507179212	0.251481014358424	0.874259492820788
45	0.240300948018433	0.480601896036867	0.759699051981567
46	0.201145836146923	0.402291672293845	0.798854163853078
47	0.194690273076082	0.389380546152165	0.805309726923918
48	0.190916858604239	0.381833717208479	0.80908314139576
49	0.160136028518349	0.320272057036699	0.839863971481651
50	0.134814052201527	0.269628104403054	0.865185947798473
51	0.121638231323247	0.243276462646494	0.878361768676753
52	0.131152121001433	0.262304242002866	0.868847878998567
53	0.131148502365931	0.262297004731862	0.868851497634069
54	0.105623772384876	0.211247544769751	0.894376227615124
55	0.0896494308284256	0.179298861656851	0.910350569171574
56	0.0739278401299039	0.147855680259808	0.926072159870096
57	0.0612797545511144	0.122559509102229	0.938720245448886
58	0.0513345488718286	0.102669097743657	0.948665451128171
59	0.0413556893311087	0.0827113786622174	0.95864431066889
60	0.0314507019044157	0.0629014038088314	0.968549298095584
61	0.0430552512168914	0.0861105024337828	0.956944748783109
62	0.156797820407946	0.313595640815892	0.843202179592054
63	0.616405781382718	0.767188437234565	0.383594218617282
64	0.879027035131405	0.241945929737190	0.120972964868595
65	0.859362542657901	0.281274914684198	0.140637457342099
66	0.870857207019945	0.258285585960110	0.129142792980055
67	0.873062937309524	0.253874125380952	0.126937062690476
68	0.846714823197337	0.306570353605326	0.153285176802663
69	0.870811100743039	0.258377798513923	0.129188899256961
70	0.848825201075586	0.302349597848828	0.151174798924414
71	0.820330144476768	0.359339711046464	0.179669855523232
72	0.791115562366637	0.417768875266726	0.208884437633363
73	0.773838496639695	0.452323006720609	0.226161503360305
74	0.741475029102052	0.517049941795896	0.258524970897948
75	0.73592191912013	0.528156161759742	0.264078080879871
76	0.767326543278044	0.465346913443912	0.232673456721956
77	0.765284588489038	0.469430823021924	0.234715411510962
78	0.728347088493338	0.543305823013324	0.271652911506662
79	0.738912408624129	0.522175182751743	0.261087591375871
80	0.73201340729353	0.53597318541294	0.26798659270647
81	0.727578188809033	0.544843622381934	0.272421811190967
82	0.742919877011291	0.514160245977418	0.257080122988709
83	0.754532738768978	0.490934522462045	0.245467261231022
84	0.725455816556315	0.54908836688737	0.274544183443685
85	0.74260217521899	0.51479564956202	0.25739782478101
86	0.708456349202984	0.583087301594033	0.291543650797016
87	0.667345811199287	0.665308377601425	0.332654188800713
88	0.776505219724246	0.446989560551508	0.223494780275754
89	0.762200906445263	0.475598187109474	0.237799093554737
90	0.756998662264193	0.486002675471614	0.243001337735807
91	0.724676091654013	0.550647816691975	0.275323908345987
92	0.705525639929823	0.588948720140354	0.294474360070177
93	0.670637255478854	0.658725489042292	0.329362744521146
94	0.678775561514647	0.642448876970706	0.321224438485353
95	0.640595220939651	0.718809558120698	0.359404779060349
96	0.63996149262651	0.720077014746981	0.360038507373491
97	0.674437257519553	0.651125484960894	0.325562742480447
98	0.631066291884679	0.737867416230642	0.368933708115321
99	0.591654287997917	0.816691424004167	0.408345712002083
100	0.586947452379846	0.826105095240307	0.413052547620154
101	0.602735262742666	0.794529474514668	0.397264737257334
102	0.59751019605166	0.804979607896679	0.402489803948340
103	0.564618655935961	0.870762688128078	0.435381344064039
104	0.522889341787177	0.954221316425646	0.477110658212823
105	0.498279128147544	0.996558256295089	0.501720871852456
106	0.594605013519398	0.810789972961204	0.405394986480602
107	0.582188615340352	0.835622769319296	0.417811384659648
108	0.596230577851336	0.807538844297327	0.403769422148664
109	0.551895470308002	0.896209059383995	0.448104529691998
110	0.508755627603701	0.982488744792598	0.491244372396299
111	0.548998016398215	0.90200396720357	0.451001983601785
112	0.543093230756007	0.913813538487986	0.456906769243993
113	0.495477427802088	0.990954855604177	0.504522572197912
114	0.637551502428044	0.724896995143913	0.362448497571956
115	0.589414813146293	0.821170373707414	0.410585186853707
116	0.620811555338378	0.758376889323245	0.379188444661622
117	0.652458317297974	0.695083365404053	0.347541682702026
118	0.599897859561427	0.800204280877146	0.400102140438573
119	0.84201995112359	0.315960097752819	0.157980048876410
120	0.854564612105552	0.290870775788895	0.145435387894448
121	0.822737344467218	0.354525311065565	0.177262655532782
122	0.820727483876218	0.358545032247563	0.179272516123782
123	0.818915182653166	0.362169634693667	0.181084817346834
124	0.776602326580686	0.446795346838628	0.223397673419314
125	0.740703622361863	0.518592755276274	0.259296377638137
126	0.71805738816185	0.563885223676300	0.281942611838150
127	0.733814717826463	0.532370564347075	0.266185282173537
128	0.679052619314716	0.641894761370568	0.320947380685284
129	0.865829557561462	0.268340884877077	0.134170442438538
130	0.837946355518949	0.324107288962101	0.162053644481051
131	0.95015791611886	0.0996841677622797	0.0498420838811398
132	0.92835437746594	0.143291245068121	0.0716456225340606
133	0.909991695269687	0.180016609460627	0.0900083047303134
134	0.8799091857213	0.2401816285574	0.1200908142787
135	0.843587577313524	0.312824845372952	0.156412422686476
136	0.799907402702713	0.400185194594574	0.200092597297287
137	0.7455328950476	0.508934209904801	0.254467104952400
138	0.710196746734597	0.579606506530806	0.289803253265403
139	0.673372435874161	0.653255128251678	0.326627564125839
140	0.742323680855041	0.515352638289917	0.257676319144959
141	0.673917746273234	0.652164507453533	0.326082253726766
142	0.606493184266809	0.787013631466381	0.393506815733191
143	0.571241608169959	0.857516783660082	0.428758391830041
144	0.499260552955808	0.998521105911615	0.500739447044192
145	0.391865342497849	0.783730684995698	0.608134657502151
146	0.462198532953014	0.924397065906029	0.537801467046986
147	0.399827591208458	0.799655182416916	0.600172408791542
148	0.421355883832998	0.842711767665996	0.578644116167002
149	0.455234100265891	0.910468200531782	0.544765899734109

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	0	0	OK
10% type I error level	5	0.0357142857142857	OK