Multiple Linear Regression - Estimated Regression Equation

StudyForCareer[t] = + 32.5202067294365 + 0.174192543560943PersonalStandards[t] + 0.0466789923587195ParentalExpectations[t] -0.217373134461697Doubts[t] + 1.39806533965884LeaderPreference[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)	32.5202067294365	3.250358	10.0051	0	0
PersonalStandards	0.174192543560943	0.10383	1.6777	0.095627	0.047814
ParentalExpectations	0.0466789923587195	0.127944	0.3648	0.715779	0.357889
Doubts	-0.217373134461697	0.154972	-1.4027	0.162915	0.081457
LeaderPreference	1.39806533965884	0.482225	2.8992	0.00434	0.00217

Multiple Linear Regression - Regression Statistics
Multiple R	0.367916033517428
R-squared	0.135362207719197
Adjusted R-squared	0.110833476023288
F-TEST (value)	5.51851638304525
F-TEST (DF numerator)	4
F-TEST (DF denominator)	141
p-value	0.000371345161075842
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	4.98212870492208
Sum Squared Residuals	3499.84650696961

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	39.8130430126621	1.18695698733793
2	38	41.2111083523209	-3.21110835232092
3	37	40.1192740985965	-3.11927409859654
4	42	39.9757387200624	2.02426127993759
5	40	38.3004560958462	1.69954390415383
6	43	41.1644293599622	1.8355706400378
7	40	40.2412610268408	-0.241261026840763
8	45	44.225613797887	0.774386202112998
9	45	42.4931569769381	2.50684302306185
10	44	40.4029301445278	3.59706985547223
11	42	40.0037259317261	1.99627406827385
12	32	42.0810694383389	-10.0810694383389
13	32	42.0810694383389	-10.0810694383389
14	41	43.5278170339299	-2.52781703392991
15	38	39.9827355229783	-1.98273552297835
16	38	40.2342642239248	-2.23426422392483
17	24	37.9737031493351	-13.9737031493351
18	46	41.6810367774424	4.31896322255758
19	42	40.9540530284164	1.04594697158356
20	46	40.8536982407831	5.14630175921693
21	43	40.2562812223860	2.74371877761405
22	38	40.5951727369207	-2.59517273692065
23	39	39.869215577608	-0.86921557760799
24	40	38.6328193556362	1.36718064436384
25	37	37.2764644269201	-0.276464426920151
26	41	40.4174817919017	0.582518208098259
27	46	41.027890784344	4.97210921565599
28	26	38.1052731435374	-12.1052731435374
29	37	39.0103914278269	-2.01039142782694
30	39	41.3044663370384	-2.30446633703836
31	44	43.0112345743763	0.988765425623704
32	38	37.5349899307826	0.465010069217436
33	38	36.9155309559977	1.08446904400228
34	38	39.4957836387382	-1.49578363873823
35	33	38.2829640885563	-5.28296408855634
36	43	40.1117192541385	2.88828074586150
37	41	35.1012629023453	5.89873709765475
38	49	40.1374078377494	8.86259216225058
39	45	42.2050845880832	2.79491541191682
40	31	38.3868172776477	-7.38681727764769
41	30	38.3868172776477	-8.38681727764768
42	38	40.6453501307373	-2.64535013073734
43	39	40.4154535704017	-1.41545357040171
44	40	40.2502860512567	-0.250286051256730
45	36	35.3597884062077	0.640211593792333
46	49	43.6313103230976	5.36868967690242
47	41	40.5896461139627	0.41035388603735
48	18	35.9617304157761	-17.9617304157761
49	42	38.8195353250710	3.18046467492896
50	41	42.6558526843385	-1.65585268433848
51	43	39.9862339244363	3.01376607556369
52	46	39.6820310600019	6.31796893999811
53	41	42.8732258188002	-1.87322581880017
54	39	40.4029301445278	-1.40293014452777
55	42	39.5619828598868	2.43801714011318
56	35	41.1669261296335	-6.16692612963345
57	36	38.2035997096708	-2.20359970967077
58	48	39.3723265305361	8.62767346946392
59	41	39.9827355229783	1.01726447702165
60	47	38.4495180973383	8.5504819026617
61	41	39.0730922475176	1.92690775248244
62	31	42.1067580219498	-11.1067580219498
63	36	41.2216035566948	-5.22160355669482
64	46	41.3044663370384	4.69553366296164
65	44	40.7317113125388	3.26828868746116
66	43	37.0550348494584	5.94496515054162
67	40	40.5544889156912	-0.55448891569115
68	40	39.1127744369603	0.887225563039656
69	46	37.1459210224312	8.85407897756882
70	39	40.6725088943062	-1.67250889430619
71	44	41.6333311953704	2.36666880462962
72	38	36.4466540785161	1.55334592148385
73	39	39.7011913888681	-0.7011913888681
74	41	42.9575587791016	-1.95755877910164
75	39	38.6794983479949	0.320501652005117
76	40	39.5605126799289	0.439487320071111
77	44	40.2558126742147	3.74418732578527
78	42	39.4998400817383	2.50015991826170
79	46	42.6538244628384	3.34617553716156
80	44	40.027386293837	3.97261370616297
81	37	40.5088115551191	-3.50881155511914
82	39	37.1936016465766	1.80639835342339
83	40	38.2809358670563	1.71906413294369
84	42	38.8195353250710	3.18046467492896
85	37	38.9295568689834	-1.92955686898343
86	33	37.8422226485037	-4.84222264850373
87	35	39.9290597277037	-4.9290597277037
88	42	35.6620525425129	6.33794745748706
89	36	35.8753692339746	0.124630766025435
90	44	39.4957836387382	4.50421636126177
91	45	39.7633341670166	5.23666583298338
92	47	41.0635165307867	5.93648346921328
93	40	41.0835948011187	-1.08359480111870
94	49	38.6840233391662	10.3159766608338
95	48	44.1176204754746	3.88237952452535
96	29	40.7136612637069	-11.7136612637069
97	45	41.6393263664996	3.3606736335004
98	29	36.4536508814321	-7.45365088143208
99	41	40.374301201001	0.625698798999012
100	34	37.0445396450845	-3.04453964508448
101	38	36.0781907210623	1.92180927893771
102	37	37.8823733861177	-0.882373386117737
103	48	44.0444244514101	3.95557554858987
104	39	40.9345327996266	-1.93453279962657
105	34	40.4384722006495	-6.43847220064954
106	35	36.4898346694169	-1.48983466941690
107	41	40.0680701150665	0.931929884933467
108	43	39.3256475381774	3.67435246182264
109	41	38.4536582306593	2.54634176934068
110	39	36.0405367531195	2.95946324688046
111	36	40.9992618408172	-4.99926184081723
112	32	41.5414433906109	-9.54144339061087
113	46	39.9772089000203	6.02279109997965
114	42	40.8968788316838	1.10312116831618
115	42	36.2669349119972	5.7330650880028
116	45	39.3517797120329	5.64822028796711
117	39	40.7261846895808	-1.72618468958084
118	45	41.018865759928	3.98113424007196
119	48	42.3722803287282	5.62771967127181
120	28	38.2422802673268	-10.2422802673268
121	35	37.5314915293246	-2.53149152932460
122	38	38.9460472444866	-0.946047244486552
123	42	38.3592986141552	3.64070138584483
124	36	38.1032449220374	-2.1032449220374
125	37	40.7191878866649	-3.71918788666491
126	38	39.0625970431437	-1.06259704314366
127	43	40.7492033198287	2.25079668017132
128	35	34.6519649860479	0.348035013952111
129	36	39.7186833961579	-3.71868339615793
130	33	36.2814865593712	-3.28148655937117
131	39	38.1559190855253	0.844080914474662
132	32	41.1157221461035	-9.11572214610345
133	45	39.1936089958038	5.80639100419615
134	35	39.7618639870587	-4.76186398705869
135	38	37.7046824410988	0.295317558901173
136	36	37.3542691324769	-1.35426913247690
137	42	38.0620925526367	3.93790744736332
138	41	39.4204757028527	1.57952429714727
139	47	38.7748845542124	8.22511544578764
140	35	38.5540130182927	-3.55401301829269
141	43	37.668498653114	5.33150134688599
142	40	40.1061926311805	-0.106192631180502
143	46	40.6760072957642	5.32399270423585
144	44	41.6393263664996	2.3606736335004
145	35	38.674529766579	-3.67452976657898
146	29	39.6016650493296	-10.6016650493296

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.211144988549241	0.422289977098482	0.788855011450759
9	0.111204897243954	0.222409794487908	0.888795102756046
10	0.0502884049673851	0.100576809934770	0.949711595032615
11	0.0212602482154377	0.0425204964308755	0.978739751784562
12	0.192290413768224	0.384580827536449	0.807709586231776
13	0.231293043209833	0.462586086419666	0.768706956790167
14	0.255249312648083	0.510498625296166	0.744750687351917
15	0.180676729451007	0.361353458902013	0.819323270548993
16	0.128274169695408	0.256548339390816	0.871725830304592
17	0.679868795705663	0.640262408588674	0.320131204294337
18	0.663319813184605	0.67336037363079	0.336680186815395
19	0.618337117238858	0.763325765522284	0.381662882761142
20	0.671881454063035	0.65623709187393	0.328118545936965
21	0.671262670948337	0.657474658103327	0.328737329051663
22	0.621090935446778	0.757818129106445	0.378909064553222
23	0.550426900391233	0.899146199217533	0.449573099608767
24	0.511979370747205	0.97604125850559	0.488020629252795
25	0.454236686571703	0.908473373143405	0.545763313428297
26	0.386715577315803	0.773431154631606	0.613284422684197
27	0.424136510039853	0.848273020079705	0.575863489960147
28	0.69628235846549	0.60743528306902	0.30371764153451
29	0.640231777210623	0.719536445578753	0.359768222789377
30	0.591074062981263	0.817851874037474	0.408925937018737
31	0.530652495859616	0.938695008280767	0.469347504140384
32	0.478851326918952	0.957702653837904	0.521148673081048
33	0.421391285530851	0.842782571061702	0.578608714469149
34	0.365571674487605	0.73114334897521	0.634428325512395
35	0.345391042076974	0.690782084153947	0.654608957923026
36	0.322025043891542	0.644050087783083	0.677974956108458
37	0.395735879350952	0.791471758701904	0.604264120649048
38	0.535998950473374	0.928002099053252	0.464001049526626
39	0.496411765229113	0.992823530458226	0.503588234770887
40	0.524110218303416	0.951779563393168	0.475889781696584
41	0.570177933069157	0.859644133861685	0.429822066930843
42	0.524641418150203	0.950717163699594	0.475358581849797
43	0.474980159035253	0.949960318070505	0.525019840964747
44	0.423320396491331	0.846640792982662	0.576679603508669
45	0.382275731324778	0.764551462649555	0.617724268675222
46	0.366717354501770	0.733434709003539	0.63328264549823
47	0.317838382665456	0.635676765330913	0.682161617334544
48	0.812143776736432	0.375712446527137	0.187856223263568
49	0.80377458342874	0.392450833142519	0.196225416571259
50	0.769503249021533	0.460993501956935	0.230496750978467
51	0.751937998111825	0.49612400377635	0.248062001888175
52	0.790311069146664	0.419377861706672	0.209688930853336
53	0.75704053086572	0.485918938268561	0.242959469134280
54	0.722854274390379	0.554291451219242	0.277145725609621
55	0.696471550591164	0.607056898817673	0.303528449408836
56	0.71290417665301	0.574191646693981	0.287095823346990
57	0.677569477659864	0.644861044680271	0.322430522340136
58	0.784881382096143	0.430237235807714	0.215118617903857
59	0.749640284969128	0.500719430061744	0.250359715030872
60	0.828024937265629	0.343950125468742	0.171975062734371
61	0.800503411148002	0.398993177703996	0.199496588851998
62	0.902822837906015	0.19435432418797	0.097177162093985
63	0.9052599087267	0.189480182546601	0.0947400912733006
64	0.901622446206385	0.196755107587230	0.0983775537936151
65	0.888648330686705	0.22270333862659	0.111351669313295
66	0.902001990407219	0.195996019185562	0.097998009592781
67	0.88124819199468	0.237503616010641	0.118751808005321
68	0.85665259574108	0.286694808517839	0.143347404258920
69	0.909098592902311	0.181802814195377	0.0909014070976885
70	0.890265408306505	0.21946918338699	0.109734591693495
71	0.871481759943171	0.257036480113657	0.128518240056829
72	0.847774282187795	0.304451435624411	0.152225717812205
73	0.820345477268222	0.359309045463556	0.179654522731778
74	0.792545626812585	0.414908746374831	0.207454373187415
75	0.756437044631628	0.487125910736745	0.243562955368372
76	0.717305200987059	0.565389598025882	0.282694799012941
77	0.696931989804292	0.606136020391417	0.303068010195708
78	0.662418490152515	0.675163019694969	0.337581509847485
79	0.637298729453513	0.725402541092973	0.362701270546487
80	0.620042446233309	0.759915107533382	0.379957553766691
81	0.595007313887585	0.80998537222483	0.404992686112415
82	0.556224576252806	0.887550847494388	0.443775423747194
83	0.514042487964941	0.971915024070118	0.485957512035059
84	0.493456865259944	0.986913730519888	0.506543134740056
85	0.451054676532615	0.90210935306523	0.548945323467385
86	0.44087417104331	0.88174834208662	0.55912582895669
87	0.453816629939531	0.907633259879062	0.546183370060469
88	0.476541447790919	0.953082895581837	0.523458552209081
89	0.427437835153116	0.854875670306232	0.572562164846884
90	0.41434874540049	0.82869749080098	0.58565125459951
91	0.41911231815461	0.83822463630922	0.58088768184539
92	0.45403997932663	0.90807995865326	0.54596002067337
93	0.405400525210463	0.810801050420927	0.594599474789537
94	0.576404576700969	0.847190846598063	0.423595423299031
95	0.603263683900706	0.793472632198587	0.396736316099294
96	0.822141942597587	0.355716114804826	0.177858057402413
97	0.802156815743445	0.395686368513110	0.197843184256555
98	0.829999507945019	0.340000984109962	0.170000492054981
99	0.794354573496595	0.41129085300681	0.205645426503405
100	0.775574839772855	0.448850320454289	0.224425160227145
101	0.736071191293159	0.527857617413682	0.263928808706841
102	0.693078195579675	0.613843608840651	0.306921804420326
103	0.682294151739712	0.635411696520577	0.317705848260288
104	0.639926877549822	0.720146244900357	0.360073122450178
105	0.626597576962522	0.746804846074955	0.373402423037478
106	0.586599736022991	0.826800527954019	0.413400263977009
107	0.53365313906841	0.93269372186318	0.46634686093159
108	0.496500502614001	0.993001005228002	0.503499497385999
109	0.449187776508383	0.898375553016767	0.550812223491617
110	0.40144643103838	0.80289286207676	0.59855356896162
111	0.381762670962928	0.763525341925856	0.618237329037072
112	0.567516901573153	0.864966196853694	0.432483098426847
113	0.585356547077123	0.829286905845754	0.414643452922877
114	0.526075409062385	0.94784918187523	0.473924590937615
115	0.531598695000636	0.936802609998728	0.468401304999364
116	0.506609087303489	0.986781825393021	0.493390912696511
117	0.450507050427387	0.901014100854774	0.549492949572613
118	0.415076569148514	0.830153138297029	0.584923430851486
119	0.430769205591751	0.861538411183503	0.569230794408249
120	0.624033411038418	0.751933177923164	0.375966588961582
121	0.569913020226775	0.86017395954645	0.430086979773225
122	0.500337197811327	0.999325604377346	0.499662802188673
123	0.459886339610148	0.919772679220296	0.540113660389852
124	0.398858539680772	0.797717079361544	0.601141460319228
125	0.357068103512239	0.714136207024479	0.64293189648776
126	0.297704066501127	0.595408133002254	0.702295933498873
127	0.282099493345237	0.564198986690474	0.717900506654763
128	0.219336978578568	0.438673957157135	0.780663021421433
129	0.190835118970411	0.381670237940822	0.809164881029589
130	0.185449569254518	0.370899138509036	0.814550430745482
131	0.145699568027308	0.291399136054615	0.854300431972692
132	0.294841984767451	0.589683969534902	0.705158015232549
133	0.222658914217525	0.445317828435050	0.777341085782475
134	0.216604687971725	0.43320937594345	0.783395312028275
135	0.151416674285676	0.302833348571352	0.848583325714324
136	0.108566874284727	0.217133748569455	0.891433125715273
137	0.0613836461685375	0.122767292337075	0.938616353831462
138	0.0354848615253590	0.0709697230507181	0.964515138474641

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	0.00763358778625954	OK
10% type I error level	2	0.0152671755725191	OK