Multiple Linear Regression - Estimated Regression Equation

StudyForCareer[t] = + 34.1121269448891 + 0.146658179226907PersonalStandards[t] + 0.0321645865737117ParentalExpectations[t] -0.216148635234074Doubts[t] + 1.20809176779421LeaderPreference[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)	34.1121269448891	3.129847	10.899	0	0
PersonalStandards	0.146658179226907	0.09936	1.476	0.142182	0.071091
ParentalExpectations	0.0321645865737117	0.122176	0.2633	0.792734	0.396367
Doubts	-0.216148635234074	0.147914	-1.4613	0.146171	0.073085
LeaderPreference	1.20809176779421	0.462908	2.6098	0.010045	0.005023

Multiple Linear Regression - Regression Statistics
Multiple R	0.338860725617068
R-squared	0.114826591365726
Adjusted R-squared	0.0895359225476039
F-TEST (value)	4.5402749999022
F-TEST (DF numerator)	4
F-TEST (DF denominator)	140
p-value	0.00177031601377786
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	4.75523002302489
Sum Squared Residuals	3165.70976006283

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	39.9399878104432	1.06001218955680
2	38	41.1480795782376	-3.14807957823759
3	37	40.2359659163024	-3.23596591630244
4	42	40.1767980260148	1.82320197398524
5	40	38.4462734003063	1.55372659969373
6	43	41.1159149916639	1.88408500833611
7	40	40.2938076030208	-0.293807603020789
8	45	43.802237321016	1.19776267898401
9	45	42.1515257170341	2.84847428296585
10	44	40.4584656151798	3.54153438482024
11	42	39.8781910705471	2.12180892945288
12	32	41.8595449024162	-9.85954490241624
13	32	41.8595449024162	-9.85954490241624
14	41	43.143452400696	-2.14345240069595
15	38	40.1021462871479	-2.10214628714785
16	38	40.3684593418877	-2.3684593418877
17	24	38.2211212942903	-14.2211212942903
18	46	41.7026934716239	4.29730652837608
19	42	40.8251146175629	1.17488538243710
20	46	40.8354371832824	5.16456281671761
21	43	40.2166563286994	2.78334367130062
22	38	40.6437758674095	-2.64377586740945
23	39	39.8383492167608	-0.838349216760837
24	40	38.7949154611256	1.20508453887440
25	37	37.7876177941403	-0.78761779414031
26	41	40.534443557616	0.465556442383999
27	46	40.9820953625093	5.0179046374907
28	26	38.5235704376801	-12.5235704376801
29	37	39.3070257533204	-2.30702575332040
30	39	41.212408751385	-2.21240875138502
31	44	42.6070005521924	1.39299944780758
32	38	37.9792791100132	0.0207208899867524
33	38	37.4619746371621	0.538025362837949
34	38	39.5810325241711	-1.58103252417114
35	33	38.6329027474735	-5.63290274747354
36	43	40.0853362349993	2.91466376500071
37	41	35.7574350866013	5.24256491339867
38	49	40.3414560381737	8.65854396182627
39	45	42.0113643645029	2.98863563549711
40	31	38.5852543123206	-7.5852543123206
41	30	38.5852543123206	-8.5852543123206
42	38	40.6386145845497	-2.63861458454971
43	39	40.4404657822477	-1.44046578224770
44	40	40.3131336395222	-0.313133639522183
45	36	35.9490964024743	0.0509035975257332
46	49	43.3660978626257	5.63390213737432
47	41	40.5871239614746	0.412876038525396
48	42	38.9235738074204	3.07642619257956
49	41	42.3883359326055	-1.38833593260552
50	43	40.0648204177144	2.9351795822856
51	46	39.8628200872236	6.13717991277635
52	41	42.6044845678396	-1.60448456783959
53	39	40.4584656151798	-1.45846561517976
54	42	39.5205455389459	2.47945446105412
55	35	41.0567635502745	-6.05676355027453
56	36	38.4192700965923	-2.41927009659230
57	48	39.6544944822546	8.34550551774544
58	41	40.1021462871479	0.897853712852147
59	47	38.5620931965288	8.4379068034712
60	41	39.2838646375286	1.71613536247141
61	31	42.1156647055907	-11.1156647055907
62	36	41.0361019699372	-5.03610196993723
63	46	41.212408751385	4.78759124861498
64	44	40.7775954965640	3.22240450343596
65	43	37.3835136081696	5.61648639183037
66	40	40.5151339700129	-0.515133970012933
67	40	39.3906809629692	0.609319037030786
68	46	37.5573208541629	8.44267914583709
69	39	40.7634307429224	-1.76343074292239
70	44	41.5983766816378	2.40162331836219
71	38	37.0298395786446	0.970160421355363
72	39	40.0404624125073	-1.04046241250734
73	41	42.6494877044856	-1.64948770448562
74	39	38.8270800476993	0.172919952300693
75	40	39.6518491837476	0.348150816252356
76	44	40.369785545457	3.63021445454297
77	42	39.7689880749078	2.23101192509225
78	46	42.2943581572372	3.70564184276278
79	44	40.0403330983533	3.95966690164674
80	37	40.5047949553951	-3.50479495539512
81	39	37.6113110126925	1.38868898730748
82	40	38.5389249721052	1.46107502789476
83	42	38.9235738074204	3.07642619257956
84	37	39.2246967472409	-2.22469674724091
85	33	38.2970827878282	-5.2970827878282
86	35	40.1446334394411	-5.14463343944105
87	42	36.4355295945244	5.56447040547557
88	36	36.4637226790219	-0.463722679021899
89	44	39.5810325241711	4.41896747582886
90	45	39.7920198765455	5.20798012345453
91	47	40.9009561372133	6.09904386278669
92	40	41.0335859855844	-1.03358598558440
93	49	38.8619063816783	10.1380936183217
94	48	43.5950921565638	4.40490784343618
95	29	40.7389434235613	-11.7389434235613
96	45	41.501899370815	3.498100629185
97	29	36.9551878397777	-7.95518783977773
98	41	40.4649531016088	0.535046898391166
99	34	37.49549121647	-3.49549121646999
100	38	36.6038933718197	1.39610662818027
101	37	38.2507698965112	-1.25076989651116
102	48	43.730230880656	4.26976911934401
103	39	40.9177661893619	-1.91776618936187
104	34	40.3104883410153	-6.31048834101527
105	35	37.0993300346518	-2.09933003465180
106	41	40.1689749957498	0.83102500425022
107	43	39.6223298956808	3.37767010431916
108	41	38.8168867961339	2.1831132038661
109	39	36.5910548217474	2.40894517825259
110	36	40.9885828489384	-4.98858284893837
111	32	41.4027438636886	-9.40274386368862
112	46	40.045494381213	5.954505618787
113	42	40.9049276392896	1.09507236071044
114	42	36.8265294934829	5.17347050651712
115	45	39.6749938506411	5.32500614935888
116	39	40.7209435906292	-1.72094359062919
117	45	40.9627693260079	4.0372306739921
118	48	42.2326742825967	5.7673257174033
119	28	38.504260850077	-10.5042608500770
120	35	38.0166049794467	-3.0166049794467
121	38	39.0162418281177	-1.01624182811774
122	42	38.7307320510306	3.26926794896942
123	36	38.4295926623118	-2.42959266231178
124	37	40.7955953294961	-3.79559532949610
125	38	39.3958422458290	-1.39584224582896
126	43	40.5909661493968	2.40903385060323
127	35	35.2491598736969	-0.249159873696940
128	36	39.8538330653401	-3.85383306534007
129	33	36.9025074359191	-3.90250743591912
130	39	38.3652799380627	0.634720061937313
131	32	40.9897726297219	-8.98977262972187
132	45	39.4730099690487	5.5269900309513
133	35	39.9233235213472	-4.92332352134723
134	38	38.1414375867177	-0.141437586717712
135	36	37.7541434528956	-1.75414345289559
136	42	38.4540799816729	3.54592001832708
137	41	39.5553554240265	1.44464457597349
138	47	38.985386996215	8.01461300378497
139	35	38.8065642304144	-3.80656423041442
140	43	37.9972953918436	5.00270460815636
141	40	40.0286843290644	-0.0286843290644402
142	46	40.7261048734889	5.27389512651106
143	44	41.501899370815	2.498100629185
144	35	38.9957095619345	-3.99570956193452
145	29	39.6273618643865	-10.6273618643865

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.235969161968699	0.471938323937397	0.764030838031301
9	0.129584160166089	0.259168320332179	0.87041583983391
10	0.0612430334934687	0.122486066986937	0.938756966506531
11	0.0270902216581776	0.0541804433163552	0.972909778341822
12	0.235178261627283	0.470356523254566	0.764821738372717
13	0.285096061926052	0.570192123852103	0.714903938073948
14	0.316108114972573	0.632216229945147	0.683891885027427
15	0.232999111010344	0.465998222020687	0.767000888989656
16	0.172124856780170	0.344249713560341	0.82787514321983
17	0.76859571291641	0.462808574167181	0.231404287083590
18	0.757375986999797	0.485248026000406	0.242624013000203
19	0.720078882267012	0.559842235465976	0.279921117732988
20	0.771143481057775	0.45771303788445	0.228856518942225
21	0.773220856543257	0.453558286913486	0.226779143456743
22	0.732164883400089	0.535670233199822	0.267835116599911
23	0.670110352589067	0.659779294821865	0.329889647410933
24	0.636011051398859	0.727977897202282	0.363988948601141
25	0.581699650522363	0.836600698955275	0.418300349477637
26	0.514110052056124	0.971779895887752	0.485889947943876
27	0.557439651215152	0.885120697569696	0.442560348784848
28	0.818581646090324	0.362836707819353	0.181418353909676
29	0.77647400441042	0.447051991179161	0.223525995589580
30	0.737056140797277	0.525887718405446	0.262943859202723
31	0.685976265605559	0.628047468788882	0.314023734394441
32	0.639408960024617	0.721182079950766	0.360591039975383
33	0.583815883329398	0.832368233341205	0.416184116670602
34	0.527605406921895	0.94478918615621	0.472394593078105
35	0.512523735674534	0.974952528650932	0.487476264325466
36	0.489041451412791	0.978082902825582	0.510958548587209
37	0.568710034477465	0.86257993104507	0.431289965522535
38	0.707869198482367	0.584261603035266	0.292130801517633
39	0.675072460598168	0.649855078803664	0.324927539401832
40	0.708178837885376	0.583642324229248	0.291821162114624
41	0.757564590162706	0.484870819674588	0.242435409837294
42	0.721500409308793	0.556999181382414	0.278499590691207
43	0.678962549625583	0.642074900748834	0.321037450374417
44	0.631462563397841	0.737074873204319	0.368537436602159
45	0.591969245507722	0.816061508984555	0.408030754492278
46	0.585167109874154	0.829665780251692	0.414832890125846
47	0.533161935622487	0.933676128755026	0.466838064377513
48	0.522927633295182	0.954144733409636	0.477072366704818
49	0.473393842284094	0.946787684568189	0.526606157715906
50	0.449821025346854	0.899642050693708	0.550178974653146
51	0.502464280781618	0.995071438436763	0.497535719218382
52	0.455574493974331	0.911148987948662	0.544425506025669
53	0.41788733761543	0.83577467523086	0.58211266238457
54	0.391214742486412	0.782429484972824	0.608785257513588
55	0.414420295125471	0.828840590250943	0.585579704874529
56	0.37579494740451	0.75158989480902	0.62420505259549
57	0.500628129654834	0.998743740690332	0.499371870345166
58	0.452830286606567	0.905660573213134	0.547169713393433
59	0.579968620507354	0.840062758985293	0.420031379492646
60	0.536872920851007	0.926254158297985	0.463127079148992
61	0.731722940984756	0.536554118030488	0.268277059015244
62	0.735476273317674	0.529047453364652	0.264523726682326
63	0.733284442544372	0.533431114911256	0.266715557455628
64	0.70961201362297	0.58077597275406	0.29038798637703
65	0.729593409405464	0.540813181189071	0.270406590594536
66	0.691057019301732	0.617885961396536	0.308942980698268
67	0.647572561443995	0.70485487711201	0.352427438556005
68	0.735417904475474	0.529164191049052	0.264582095524526
69	0.700118270875988	0.599763458248024	0.299881729124012
70	0.667276404776358	0.665447190447283	0.332723595223642
71	0.6243301313455	0.751339737308999	0.375669868654500
72	0.581835016494961	0.836329967010079	0.418164983505039
73	0.540211587174076	0.919576825651847	0.459788412825924
74	0.492114841525803	0.984229683051605	0.507885158474197
75	0.44399508770545	0.8879901754109	0.55600491229455
76	0.421312379805032	0.842624759610065	0.578687620194968
77	0.381771444070293	0.763542888140585	0.618228555929707
78	0.363155731172606	0.726311462345213	0.636844268827394
79	0.347610902675602	0.695221805351203	0.652389097324398
80	0.32617276678076	0.65234553356152	0.67382723321924
81	0.289839315207301	0.579678630414603	0.710160684792698
82	0.253547655095353	0.507095310190706	0.746452344904647
83	0.23749541416332	0.47499082832664	0.76250458583668
84	0.208311974581025	0.41662394916205	0.791688025418975
85	0.210093533389816	0.420187066779632	0.789906466610184
86	0.225063544382458	0.450127088764916	0.774936455617542
87	0.235675308884116	0.471350617768232	0.764324691115884
88	0.199964169243416	0.399928338486833	0.800035830756584
89	0.191254554340106	0.382509108680211	0.808745445659894
90	0.196368705061104	0.392737410122207	0.803631294938896
91	0.225923217977658	0.451846435955316	0.774076782022342
92	0.190553352678516	0.381106705357033	0.809446647321484
93	0.337461627937091	0.674923255874183	0.662538372062909
94	0.372455238751933	0.744910477503866	0.627544761248067
95	0.652710304504312	0.694579390991376	0.347289695495688
96	0.627342821328384	0.745314357343232	0.372657178671616
97	0.681905017197621	0.636189965604757	0.318094982802379
98	0.633507757060326	0.732984485879347	0.366492242939674
99	0.613561849564111	0.772876300871778	0.386438150435889
100	0.563456206612094	0.873087586775812	0.436543793387906
101	0.514498111651238	0.971003776697523	0.485501888348762
102	0.507707758222523	0.984584483554953	0.492292241777477
103	0.46243283350731	0.92486566701462	0.53756716649269
104	0.452528772981515	0.90505754596303	0.547471227018485
105	0.413883879929053	0.827767759858105	0.586116120070947
106	0.362891710353883	0.725783420707766	0.637108289646117
107	0.328450685104745	0.656901370209489	0.671549314895255
108	0.286418256217206	0.572836512434412	0.713581743782794
109	0.245553552620882	0.491107105241764	0.754446447379118
110	0.232295405813771	0.464590811627543	0.767704594186229
111	0.407121274333605	0.814242548667211	0.592878725666395
112	0.428866378831995	0.85773275766399	0.571133621168005
113	0.371625707222279	0.743251414444558	0.628374292777721
114	0.377062474294110	0.754124948588219	0.622937525705890
115	0.354970437654553	0.709940875309107	0.645029562345447
116	0.305039747878960	0.610079495757921	0.69496025212104
117	0.276598148698552	0.553196297397104	0.723401851301448
118	0.294971380062037	0.589942760124075	0.705028619937963
119	0.498342489993742	0.996684979987483	0.501657510006258
120	0.44556692187416	0.89113384374832	0.55443307812584
121	0.378500394846854	0.757000789693708	0.621499605153146
122	0.341353928244679	0.682707856489357	0.658646071755321
123	0.28818641881514	0.57637283763028	0.71181358118486
124	0.254035401540862	0.508070803081725	0.745964598459138
125	0.205421986846095	0.410843973692189	0.794578013153905
126	0.194855942449745	0.389711884899490	0.805144057550255
127	0.145794681562637	0.291589363125273	0.854205318437363
128	0.125817342405241	0.251634684810482	0.874182657594759
129	0.124531146520927	0.249062293041854	0.875468853479073
130	0.0954188810098606	0.190837762019721	0.90458111899014
131	0.223248842213542	0.446497684427084	0.776751157786458
132	0.163388194614782	0.326776389229565	0.836611805385218
133	0.161892253086985	0.323784506173969	0.838107746913015
134	0.1096973016991	0.2193946033982	0.8903026983009
135	0.077337320548919	0.154674641097838	0.922662679451081
136	0.0420418892633935	0.084083778526787	0.957958110736607
137	0.0238221106538288	0.0476442213076577	0.976177889346171

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	1	0.00769230769230769	OK
10% type I error level	3	0.0230769230769231	OK