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	36	35.8753692339746	0.124630766025435
5	42	39.9757387200624	2.02426127993758
6	44	39.4957836387382	4.50421636126177
7	40	38.3004560958462	1.69954390415382
8	43	41.1644293599622	1.8355706400378
9	40	40.2412610268408	-0.241261026840763
10	45	39.7633341670166	5.23666583298338
11	47	41.0635165307867	5.93648346921328
12	45	44.225613797887	0.774386202112997
13	45	42.4931569769381	2.50684302306186
14	40	41.0835948011187	-1.08359480111870
15	49	38.6840233391662	10.3159766608338
16	48	44.1176204754746	3.88237952452535
17	44	40.4029301445278	3.59706985547223
18	29	40.7136612637069	-11.7136612637069
19	42	40.0037259317261	1.99627406827385
20	45	41.6393263664996	3.3606736335004
21	32	42.0810694383389	-10.0810694383389
22	32	42.0810694383389	-10.0810694383389
23	41	43.5278170339299	-2.52781703392991
24	29	36.4536508814321	-7.45365088143208
25	38	39.9827355229783	-1.98273552297835
26	41	40.374301201001	0.625698798999012
27	38	40.2342642239248	-2.23426422392483
28	24	37.9737031493351	-13.9737031493351
29	34	37.0445396450845	-3.04453964508448
30	38	36.0781907210623	1.92180927893771
31	37	37.8823733861177	-0.882373386117737
32	46	41.6810367774424	4.31896322255758
33	48	44.0444244514101	3.95557554858987
34	42	40.9540530284164	1.04594697158356
35	46	40.8536982407831	5.14630175921693
36	43	40.2562812223860	2.74371877761405
37	38	40.5951727369207	-2.59517273692065
38	39	40.9345327996266	-1.93453279962657
39	34	40.4384722006495	-6.43847220064954
40	39	39.869215577608	-0.86921557760799
41	35	36.4898346694169	-1.48983466941690
42	41	40.0680701150665	0.931929884933467
43	40	38.6328193556362	1.36718064436384
44	43	39.3256475381774	3.67435246182264
45	37	37.2764644269201	-0.27646442692015
46	41	40.4174817919017	0.582518208098259
47	46	41.027890784344	4.97210921565599
48	26	38.1052731435374	-12.1052731435374
49	41	38.4536582306593	2.54634176934068
50	37	39.0103914278269	-2.01039142782694
51	39	41.3044663370384	-2.30446633703836
52	44	43.0112345743763	0.988765425623705
53	39	36.0405367531195	2.95946324688046
54	36	40.9992618408172	-4.99926184081723
55	38	37.5349899307826	0.465010069217436
56	38	36.9155309559977	1.08446904400228
57	38	39.4957836387382	-1.49578363873823
58	32	41.5414433906109	-9.54144339061087
59	33	38.2829640885563	-5.28296408855634
60	46	39.9772089000203	6.02279109997965
61	42	40.8968788316838	1.10312116831618
62	42	36.2669349119972	5.7330650880028
63	43	40.1117192541385	2.88828074586150
64	41	35.1012629023453	5.89873709765475
65	49	40.1374078377494	8.86259216225058
66	45	39.3517797120329	5.64822028796711
67	39	40.7261846895808	-1.72618468958084
68	45	42.2050845880832	2.79491541191682
69	31	38.3868172776477	-7.38681727764768
70	30	38.3868172776477	-8.38681727764768
71	45	41.018865759928	3.98113424007196
72	48	42.3722803287282	5.62771967127181
73	28	38.2422802673268	-10.2422802673268
74	35	37.5314915293246	-2.53149152932460
75	38	40.6453501307373	-2.64535013073734
76	39	40.4154535704017	-1.41545357040171
77	40	40.2502860512567	-0.250286051256730
78	38	38.9460472444866	-0.946047244486551
79	42	38.3592986141552	3.64070138584483
80	36	35.3597884062077	0.640211593792333
81	49	43.6313103230976	5.36868967690241
82	41	40.5896461139627	0.410353886037351
83	18	35.9617304157761	-17.9617304157761
84	36	38.1032449220374	-2.1032449220374
85	42	38.8195353250710	3.18046467492896
86	41	42.6558526843385	-1.65585268433848
87	43	39.9862339244363	3.01376607556369
88	46	39.6820310600019	6.31796893999811
89	37	40.7191878866649	-3.71918788666491
90	38	39.0625970431437	-1.06259704314366
91	43	40.7492033198287	2.25079668017132
92	41	42.8732258188002	-1.87322581880017
93	35	34.6519649860479	0.348035013952111
94	39	40.4029301445278	-1.40293014452777
95	42	39.5619828598868	2.43801714011318
96	36	39.7186833961579	-3.71868339615793
97	35	41.1669261296335	-6.16692612963345
98	33	36.2814865593712	-3.28148655937117
99	36	38.2035997096708	-2.20359970967077
100	48	39.3723265305361	8.62767346946392
101	41	39.9827355229783	1.01726447702165
102	47	38.4495180973383	8.5504819026617
103	41	39.0730922475176	1.92690775248244
104	31	42.1067580219498	-11.1067580219498
105	36	41.2216035566948	-5.22160355669482
106	46	41.3044663370384	4.69553366296164
107	39	38.1559190855253	0.844080914474662
108	44	40.7317113125388	3.26828868746116
109	43	37.0550348494584	5.94496515054162
110	32	41.1157221461035	-9.11572214610345
111	40	40.5544889156912	-0.55448891569115
112	40	39.1127744369603	0.887225563039656
113	46	37.1459210224312	8.85407897756883
114	45	39.1936089958038	5.80639100419615
115	39	40.6725088943062	-1.67250889430619
116	44	41.6333311953704	2.36666880462962
117	35	39.7618639870587	-4.76186398705868
118	38	37.7046824410988	0.295317558901173
119	38	36.4466540785161	1.55334592148385
120	36	37.3542691324769	-1.35426913247690
121	42	38.0620925526367	3.93790744736332
122	39	39.7011913888681	-0.7011913888681
123	41	42.9575587791016	-1.95755877910164
124	41	39.4204757028527	1.57952429714727
125	47	38.7748845542124	8.22511544578764
126	39	38.6794983479949	0.320501652005117
127	40	39.5605126799289	0.439487320071111
128	44	40.2558126742147	3.74418732578527
129	42	39.4998400817383	2.50015991826170
130	35	38.5540130182927	-3.55401301829269
131	46	42.6538244628384	3.34617553716156
132	43	37.668498653114	5.33150134688599
133	40	40.1061926311805	-0.106192631180502
134	44	40.027386293837	3.97261370616297
135	37	40.5088115551191	-3.50881155511914
136	46	40.6760072957642	5.32399270423584
137	44	41.6393263664996	2.36067363350040
138	35	38.674529766579	-3.67452976657898
139	39	37.1936016465766	1.80639835342339
140	40	38.2809358670563	1.71906413294369
141	42	38.8195353250710	3.18046467492896
142	37	38.9295568689834	-1.92955686898343
143	29	39.6016650493296	-10.6016650493296
144	33	37.8422226485037	-4.84222264850373
145	35	39.9290597277037	-4.92905972770369
146	42	35.6620525425129	6.33794745748706

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.209623360905933	0.419246721811867	0.790376639094067
9	0.124782190918213	0.249564381836425	0.875217809081787
10	0.0689524797774847	0.137904959554969	0.931047520222515
11	0.0327723743286261	0.0655447486572523	0.967227625671374
12	0.0146619573212959	0.0293239146425918	0.985338042678704
13	0.00701730563516128	0.0140346112703226	0.992982694364839
14	0.00290988769063062	0.00581977538126124	0.99709011230937
15	0.0297456959922112	0.0594913919844225	0.970254304007789
16	0.0174753335350673	0.0349506670701346	0.982524666464933
17	0.00990393532341799	0.0198078706468360	0.990096064676582
18	0.265533381534683	0.531066763069367	0.734466618465317
19	0.290141279932567	0.580282559865134	0.709858720067433
20	0.226571794433583	0.453143588867167	0.773428205566417
21	0.608355423269853	0.783289153460294	0.391644576730147
22	0.793292586775668	0.413414826448663	0.206707413224332
23	0.744127292770325	0.511745414459351	0.255872707229675
24	0.827311131025054	0.345377737949891	0.172688868974946
25	0.782819323834711	0.434361352330577	0.217180676165289
26	0.739165866509296	0.521668266981409	0.260834133490704
27	0.685206171692053	0.629587656615895	0.314793828307947
28	0.930632255599542	0.138735488800917	0.0693677444004584
29	0.91031412543671	0.17937174912658	0.08968587456329
30	0.896012733923862	0.207974532152276	0.103987266076138
31	0.866578076848953	0.266843846302093	0.133421923151046
32	0.864089683233044	0.271820633533912	0.135910316766956
33	0.855829404658425	0.288341190683151	0.144170595341575
34	0.821104329528161	0.357791340943678	0.178895670471839
35	0.823875889004932	0.352248221990137	0.176124110995068
36	0.788738222873837	0.422523554252326	0.211261777126163
37	0.754766384975769	0.490467230048462	0.245233615024231
38	0.712594382031662	0.574811235936675	0.287405617968338
39	0.746914557248095	0.50617088550381	0.253085442751905
40	0.702428372346569	0.595143255306862	0.297571627653431
41	0.655249412069329	0.689501175861342	0.344750587930671
42	0.612742139387124	0.774515721225751	0.387257860612876
43	0.568466838662756	0.863066322674488	0.431533161337244
44	0.540820203958858	0.918359592082283	0.459179796041142
45	0.48953654776758	0.97907309553516	0.51046345223242
46	0.43692862504431	0.87385725008862	0.56307137495569
47	0.438239343414298	0.876478686828596	0.561760656585702
48	0.654575835891141	0.690848328217717	0.345424164108859
49	0.62718092287587	0.745638154248259	0.372819077124129
50	0.582237566057809	0.835524867884382	0.417762433942191
51	0.540199888811843	0.919600222376315	0.459800111188158
52	0.490375182201818	0.980750364403637	0.509624817798182
53	0.468344553044192	0.936689106088384	0.531655446955808
54	0.46029873521068	0.92059747042136	0.53970126478932
55	0.417628920654950	0.835257841309899	0.58237107934505
56	0.384016017869314	0.768032035738627	0.615983982130686
57	0.34150895974301	0.68301791948602	0.65849104025699
58	0.475289611841533	0.950579223683065	0.524710388158467
59	0.474338070308881	0.948676140617762	0.525661929691119
60	0.497242505266077	0.994485010532155	0.502757494733923
61	0.450726223133082	0.901452446266164	0.549273776866918
62	0.469942158790798	0.939884317581597	0.530057841209202
63	0.435636607940062	0.871273215880124	0.564363392059938
64	0.454480525291663	0.908961050583326	0.545519474708337
65	0.556025090507531	0.887949818984938	0.443974909492469
66	0.564193480720711	0.871613038558578	0.435806519279289
67	0.521913417630937	0.956173164738127	0.478086582369063
68	0.486624850833425	0.97324970166685	0.513375149166575
69	0.539543277307325	0.92091344538535	0.460456722692675
70	0.623402039397222	0.753195921205557	0.376597960602778
71	0.605607530015622	0.788784939968755	0.394392469984378
72	0.621395609910202	0.757208780179595	0.378604390089798
73	0.753263918993778	0.493472162012444	0.246736081006222
74	0.722685621846642	0.554628756306715	0.277314378153358
75	0.69389105904814	0.61221788190372	0.30610894095186
76	0.653228400873408	0.693543198253184	0.346771599126592
77	0.607822719605149	0.784354560789702	0.392177280394851
78	0.563198868530471	0.873602262939059	0.436801131469529
79	0.547389938962039	0.905220122075922	0.452610061037961
80	0.503236418396931	0.993527163206137	0.496763581603069
81	0.542394004139885	0.915211991720231	0.457605995860115
82	0.496818675513802	0.993637351027603	0.503181324486198
83	0.950784553809807	0.0984308923803867	0.0492154461901934
84	0.940759803445022	0.118480393109956	0.0592401965549782
85	0.931980571282796	0.136038857434408	0.0680194287172039
86	0.915098491596973	0.169803016806054	0.0849015084030268
87	0.903230799605212	0.193538400789576	0.096769200394788
88	0.917280560313423	0.165438879373154	0.0827194396865772
89	0.905460612277278	0.189078775445444	0.0945393877227218
90	0.883843842836232	0.232312314327537	0.116156157163768
91	0.862690339003934	0.274619321992133	0.137309660996066
92	0.834981227530137	0.330037544939726	0.165018772469863
93	0.806406862983452	0.387186274033097	0.193593137016548
94	0.774657182184761	0.450685635630478	0.225342817815239
95	0.740818701437841	0.518362597124319	0.259181298562159
96	0.720286410708274	0.559427178583452	0.279713589291726
97	0.74347978145328	0.513040437093441	0.256520218546721
98	0.776518150928931	0.446963698142137	0.223481849071069
99	0.766633316124658	0.466733367750683	0.233366683875341
100	0.837483291283589	0.325033417432822	0.162516708716411
101	0.804027809257954	0.391944381484092	0.195972190742046
102	0.824688221424396	0.350623557151208	0.175311778575604
103	0.789841055394342	0.420317889211316	0.210158944605658
104	0.882707715561165	0.234584568877671	0.117292284438835
105	0.891754429247661	0.216491141504677	0.108245570752339
106	0.88806013293411	0.22387973413178	0.11193986706589
107	0.859952712086751	0.280094575826498	0.140047287913249
108	0.841739924524885	0.316520150950231	0.158260075475115
109	0.846942830853486	0.306114338293027	0.153057169146514
110	0.909156858665438	0.181686282669124	0.0908431413345619
111	0.883386253815632	0.233227492368735	0.116613746184368
112	0.850965716838828	0.298068566322344	0.149034283161172
113	0.90346964967565	0.1930607006487	0.09653035032435
114	0.91153162093979	0.176936758120421	0.0884683790602107
115	0.885207339577812	0.229585320844377	0.114792660422189
116	0.868673240582563	0.262653518834873	0.131326759417437
117	0.874059968138645	0.251880063722711	0.125940031861355
118	0.836059036603053	0.327881926793894	0.163940963396947
119	0.791391895271072	0.417216209457856	0.208608104728928
120	0.752662659267248	0.494674681465504	0.247337340732752
121	0.716343908413226	0.567312183173547	0.283656091586774
122	0.653245572681016	0.693508854637967	0.346754427318984
123	0.589029282805996	0.821941434388008	0.410970717194004
124	0.516756898190163	0.966486203619673	0.483243101809837
125	0.628954283714751	0.742091432570497	0.371045716285249
126	0.552534886179232	0.894930227641537	0.447465113820768
127	0.472949294913665	0.94589858982733	0.527050705086335
128	0.457608918950470	0.915217837900939	0.54239108104953
129	0.394211867142267	0.788423734284533	0.605788132857733
130	0.334792893545842	0.669585787091684	0.665207106454158
131	0.364780825608167	0.729561651216333	0.635219174391833
132	0.301368012735573	0.602736025471145	0.698631987264427
133	0.259140195905667	0.518280391811333	0.740859804094333
134	0.207367343018183	0.414734686036366	0.792632656981817
135	0.141586940139517	0.283173880279034	0.858413059860483
136	0.221599840203288	0.443199680406575	0.778400159796713
137	0.468679990639211	0.937359981278422	0.531320009360789
138	0.31441654638618	0.62883309277236	0.68558345361382

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	1	0.00763358778625954	OK
5% type I error level	5	0.0381679389312977	OK
10% type I error level	8	0.0610687022900763	OK