Multiple Linear Regression - Estimated Regression Equation

Schoolprestaties[t] = -0.932937855709447 + 0.64172811762034Maand[t] + 0.453349710665393Sport[t] + 0.103879056243291Goingout[t] -0.139197663928534Relation[t] + 0.26787509202272Family[t] -0.0758261422591809Friends[t] + 0.331473918150349Coach[t] + 0.000743014312468364Job[t] + 0.000131362897986379t + 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)	-0.932937855709447	10.987058	-0.0849	0.932447	0.466224
Maand	0.64172811762034	0.990177	0.6481	0.517942	0.258971
Sport	0.453349710665393	0.176979	2.5616	0.011433	0.005716
Goingout	0.103879056243291	0.145067	0.7161	0.475089	0.237544
Relation	-0.139197663928534	0.10082	-1.3807	0.169494	0.084747
Family	0.26787509202272	0.191326	1.4001	0.163605	0.081803
Friends	-0.0758261422591809	0.138882	-0.546	0.585916	0.292958
Coach	0.331473918150349	0.139868	2.3699	0.0191	0.00955
Job	0.000743014312468364	0.168411	0.0044	0.996486	0.498243
t	0.000131362897986379	0.010417	0.0126	0.989956	0.494978

Multiple Linear Regression - Regression Statistics
Multiple R	0.440351185270751
R-squared	0.193909166369355
Adjusted R-squared	0.14421863552911
F-TEST (value)	3.90233638261528
F-TEST (DF numerator)	9
F-TEST (DF denominator)	146
p-value	0.000183304668953554
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.23181653749078
Sum Squared Residuals	1524.91716727184

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	10.1773394159273	3.82266058407267
2	8	11.0288486395297	-3.02884863952973
3	12	11.470845411274	0.529154588725974
4	7	12.2173342390934	-5.21733423909338
5	10	12.722469662248	-2.72246966224799
6	9	11.2613919936387	-2.26139199363865
7	16	14.1007198344459	1.8992801655541
8	7	9.3324581026888	-2.3324581026888
9	14	11.8238430753631	2.17615692463693
10	6	10.5399601483911	-4.53996014839112
11	16	11.7812983412312	4.21870165876881
12	11	11.166998110416	-0.166998110416014
13	17	13.0521388614619	3.94786113853812
14	12	11.02654067657	0.97345932343003
15	7	12.1795448811781	-5.17954488117806
16	13	10.632249896635	2.36775010336498
17	9	7.11140025664957	1.88859974335043
18	15	13.9666857626504	1.03331423734958
19	7	10.1512413606795	-3.15124136067948
20	9	9.89937266552499	-0.899372665524988
21	7	8.48658711286979	-1.48658711286979
22	14	13.3879881546162	0.612011845383757
23	15	10.3277961303932	4.67220386960676
24	7	12.6845559230354	-5.68455592303541
25	13	11.783137421803	1.216862578197
26	17	11.783268784701	5.21673121529902
27	15	13.1329122708137	1.86708772918631
28	14	8.71299904344555	5.28700095655445
29	14	12.5164558293478	1.48354417065221
30	8	10.9112647720789	-2.91126477207893
31	8	8.93307922344048	-0.933079223440478
32	12	13.6940923812578	-1.69409238125777
33	14	12.6226062539501	1.3773937460499
34	8	12.128202673912	-4.12820267391205
35	11	9.90134310899478	1.09865689100522
36	16	11.2799838809349	4.7200161190651
37	11	12.61989976015	-1.61989976015004
38	8	10.8425481542703	-2.84254815427031
39	14	11.8576904845577	2.14230951544227
40	16	9.7170240535171	6.2829759464829
41	14	11.3408167387907	2.65918326120928
42	5	10.7561073648289	-5.75610736482891
43	8	8.96306908422204	-0.963069084222041
44	10	9.90357329250705	0.0964267074929509
45	8	11.889643736006	-3.88964373600602
46	13	12.2881118345206	0.711888165479367
47	15	11.0911620316797	3.90883796832028
48	6	11.0178132636039	-5.0178132636039
49	12	9.96941286204917	2.03058713795083
50	14	12.3956150796713	1.60438492032875
51	5	12.3654583866285	-7.36545838662853
52	15	12.4281432285501	2.57185677144991
53	11	11.5405069173828	-0.540506917382778
54	8	9.694594862945	-1.694594862945
55	13	10.9648171029024	2.0351828970976
56	14	12.4250374600253	1.57496253997465
57	12	9.9872464148372	2.0127535851628
58	16	12.6635805148211	3.33641948517892
59	10	8.66534503731612	1.33465496268388
60	15	14.3133141969534	0.686685803046594
61	8	9.81046176061791	-1.81046176061791
62	16	9.22315646965248	6.77684353034752
63	19	13.5965172312684	5.40348276873163
64	14	11.595276216201	2.40472378379897
65	7	12.6408411267418	-5.64084112674179
66	13	12.1839427526769	0.816057247323059
67	15	11.918344215044	3.08165578495604
68	7	9.49579343957991	-2.49579343957991
69	13	13.1281198552023	-0.128119855202344
70	4	9.81679358390016	-5.81679358390017
71	14	12.0465830287454	1.95341697125464
72	13	12.9677765961669	0.0322234038331152
73	11	9.74757851087513	1.25242148912487
74	14	11.788307669674	2.21169233032604
75	12	11.3169761505053	0.683023849494712
76	15	13.5509810256436	1.44901897435645
77	14	12.1861307588673	1.81386924113274
78	13	11.5379979489918	1.46200205100822
79	7	10.0649205439343	-3.06492054393427
80	5	8.13732066235957	-3.13732066235957
81	7	12.2193141920236	-5.21931419202361
82	13	13.2230920216784	-0.223092021678354
83	13	11.6319001442356	1.36809985576444
84	11	12.8184436807368	-1.81844368073683
85	6	8.89970981411155	-2.89970981411155
86	12	13.2680646597717	-1.26806465977171
87	8	9.8576481886597	-1.8576481886597
88	11	12.0070401577917	-1.00704015779165
89	12	14.8742192798271	-2.87421927982707
90	9	10.089119340564	-1.08911934056403
91	12	10.8984637176864	1.10153628231358
92	13	13.9331926057036	-0.933192605703615
93	16	13.3768382160054	2.62316178399461
94	16	13.5785175897289	2.42148241027113
95	11	13.3029528248484	-2.30295282484838
96	8	10.6328480126534	-2.63284801265339
97	4	8.28445067524131	-4.28445067524131
98	7	9.92425006814901	-2.92425006814901
99	14	11.4922894086678	2.50771059133218
100	11	11.3848717554544	-0.384871755454441
101	17	13.2370722185592	3.76292778144082
102	15	13.3772774677748	1.6227225322252
103	14	13.0272211088657	0.972778891134347
104	5	12.0175944189297	-7.01759441892966
105	4	11.3822143467575	-7.38221434675748
106	19	12.3319994099836	6.66800059001638
107	11	10.0300544047866	0.969945595213358
108	15	12.5441126809534	2.45588731904659
109	10	9.60900906723467	0.390990932765329
110	9	11.2135931559215	-2.21359315592153
111	12	9.82217946271761	2.17782053728239
112	15	12.7075435310198	2.29245646898016
113	7	13.2716114580173	-6.27161145801734
114	13	11.567093635507	1.43290636449305
115	14	13.2317494262421	0.768250573757949
116	14	12.4368195631401	1.5631804368599
117	14	14.0800068944896	-0.0800068944896496
118	8	11.1333688438221	-3.13336884382207
119	15	12.3333345955908	2.66666540440923
120	15	10.902273241728	4.09772675827197
121	9	9.94352887106379	-0.94352887106379
122	16	12.1920420892766	3.80795791072335
123	9	11.8457007224431	-2.84570072244314
124	15	13.7973223321215	1.20267766787845
125	15	12.438001829222	2.56199817077803
126	6	11.933534659374	-5.93353465937401
127	8	13.6995841879712	-5.69958418797121
128	15	12.4406249608533	2.55937503914666
129	10	8.51265712094894	1.48734287905106
130	9	10.9030972165264	-1.90309721652645
131	14	14.2460718061388	-0.24607180613879
132	12	14.2685291075301	-2.26852910753013
133	8	10.5371271091005	-2.53712710910049
134	11	12.0570879342559	-1.0570879342559
135	13	11.3587095714931	1.64129042850688
136	9	11.1116435064009	-2.11164350640095
137	15	12.8592479425959	2.14075205740415
138	13	9.61727667715109	3.38272332284891
139	15	12.4398409097938	2.56015909020622
140	14	12.1936636071279	1.80633639287207
141	16	11.5052466837321	4.49475331626789
142	12	12.4402349984877	-0.440234998487743
143	14	9.6625810734629	4.3374189265371
144	10	10.4056210628478	-0.405621062847761
145	10	9.84611206842383	0.153887931576171
146	4	13.2766894479634	-9.27668944796336
147	8	11.501566885021	-3.50156688502104
148	17	13.3855560828987	3.61444391710133
149	16	12.2136761119961	3.78632388800389
150	12	14.6558677616101	-2.65586776161006
151	12	11.9711547386943	0.0288452613057146
152	15	13.3838456126741	1.61615438732589
153	9	9.82284517147147	-0.822845171471475
154	13	13.0420457598061	-0.0420457598060739
155	14	12.0598465551136	1.94015344488638
156	11	10.0951568282523	0.904843171747749

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.659890269259137	0.680219461481726	0.340109730740863
14	0.789246596206264	0.421506807587472	0.210753403793736
15	0.936743004269852	0.126513991460297	0.0632569957301483
16	0.893701620732312	0.212596758535376	0.106298379267688
17	0.894458916131916	0.211082167736168	0.105541083868084
18	0.840612978760054	0.318774042479893	0.159387021239946
19	0.853467996774548	0.293064006450904	0.146532003225452
20	0.797017476470076	0.405965047059848	0.202982523529924
21	0.730810146948927	0.538379706102145	0.269189853051073
22	0.662247142684958	0.675505714630084	0.337752857315042
23	0.737419872601779	0.525160254796441	0.262580127398221
24	0.825302509678476	0.349394980643048	0.174697490321524
25	0.776658780188589	0.446682439622821	0.223341219811411
26	0.813402358840003	0.373195282319993	0.186597641159997
27	0.76261474624608	0.474770507507839	0.23738525375392
28	0.796088882498618	0.407822235002764	0.203911117501382
29	0.751542675937784	0.496914648124432	0.248457324062216
30	0.792669529074544	0.414660941850912	0.207330470925456
31	0.781668935192407	0.436662129615186	0.218331064807593
32	0.748547526783907	0.502904946432186	0.251452473216093
33	0.696029336901038	0.607941326197924	0.303970663098962
34	0.689193375344108	0.621613249311784	0.310806624655892
35	0.632643662393098	0.734712675213803	0.367356337606902
36	0.617803187014313	0.764393625971373	0.382196812985687
37	0.562824481557054	0.874351036885893	0.437175518442946
38	0.571423065858995	0.85715386828201	0.428576934141005
39	0.518753584723143	0.962492830553714	0.481246415276857
40	0.552257826497781	0.895484347004438	0.447742173502219
41	0.580592855518098	0.838814288963804	0.419407144481902
42	0.718687221262696	0.562625557474608	0.281312778737304
43	0.688526894923181	0.622946210153637	0.311473105076819
44	0.637589568175329	0.724820863649343	0.362410431824671
45	0.643622494086116	0.712755011827769	0.356377505913884
46	0.592786728434026	0.814426543131948	0.407213271565974
47	0.571249711253659	0.857500577492681	0.428750288746341
48	0.61291295937054	0.774174081258921	0.38708704062946
49	0.585174348484242	0.829651303031515	0.414825651515758
50	0.552034262899903	0.895931474200194	0.447965737100097
51	0.806156105499875	0.38768778900025	0.193843894500125
52	0.790383712356027	0.419232575287945	0.209616287643973
53	0.754630002072445	0.490739995855111	0.245369997927555
54	0.737660447153094	0.524679105693811	0.262339552846906
55	0.701372185890247	0.597255628219505	0.298627814109753
56	0.660830362179721	0.678339275640559	0.339169637820279
57	0.619311670760233	0.761376658479535	0.380688329239767
58	0.591563924097927	0.816872151804146	0.408436075902073
59	0.555903223692781	0.888193552614439	0.444096776307219
60	0.511154504224196	0.977690991551608	0.488845495775804
61	0.483493375472233	0.966986750944467	0.516506624527767
62	0.650253383856795	0.699493232286409	0.349746616143205
63	0.698497722990955	0.603004554018089	0.301502277009045
64	0.674854016219645	0.650291967560711	0.325145983780355
65	0.789178734610068	0.421642530779863	0.210821265389932
66	0.755964316077192	0.488071367845617	0.244035683922808
67	0.746191321167183	0.507617357665634	0.253808678832817
68	0.793239873956271	0.413520252087459	0.206760126043729
69	0.760205112522662	0.479589774954677	0.239794887477338
70	0.844090543031881	0.311818913936237	0.155909456968119
71	0.8248602522226	0.350279495554801	0.1751397477774
72	0.792362604206193	0.415274791587614	0.207637395793807
73	0.766916692667217	0.466166614665566	0.233083307332783
74	0.750126480087265	0.499747039825471	0.249873519912735
75	0.713129656959692	0.573740686080615	0.286870343040308
76	0.68339280512425	0.6332143897515	0.31660719487575
77	0.66008457603946	0.67983084792108	0.33991542396054
78	0.628941050084812	0.742117899830376	0.371058949915188
79	0.623351068938187	0.753297862123627	0.376648931061813
80	0.627195667874131	0.745608664251737	0.372804332125869
81	0.68628782141729	0.62742435716542	0.31371217858271
82	0.64530393459078	0.709392130818439	0.35469606540922
83	0.610201288714175	0.77959742257165	0.389798711285825
84	0.577734701300956	0.844530597398087	0.422265298699044
85	0.557244413013549	0.885511173972901	0.442755586986451
86	0.513240601231916	0.973518797536169	0.486759398768085
87	0.474023775408815	0.94804755081763	0.525976224591185
88	0.428607633789197	0.857215267578395	0.571392366210803
89	0.40520482128547	0.81040964257094	0.59479517871453
90	0.362847968330821	0.725695936661641	0.637152031669179
91	0.325119787924067	0.650239575848134	0.674880212075933
92	0.283519033718192	0.567038067436384	0.716480966281808
93	0.27240028333222	0.544800566664439	0.72759971666778
94	0.254131070870691	0.508262141741381	0.745868929129309
95	0.226482964163833	0.452965928327666	0.773517035836167
96	0.204854431966069	0.409708863932137	0.795145568033931
97	0.223425725160763	0.446851450321526	0.776574274839237
98	0.215138913607192	0.430277827214385	0.784861086392808
99	0.200404774675978	0.400809549351957	0.799595225324022
100	0.168368982140651	0.336737964281301	0.831631017859349
101	0.187410415789562	0.374820831579124	0.812589584210438
102	0.16600812909406	0.332016258188121	0.83399187090594
103	0.142976022670844	0.285952045341687	0.857023977329156
104	0.236345979908925	0.47269195981785	0.763654020091075
105	0.45106543294873	0.90213086589746	0.54893456705127
106	0.622143111240962	0.755713777518076	0.377856888759038
107	0.574785655857903	0.850428688284193	0.425214344142097
108	0.547490319563072	0.905019360873855	0.452509680436928
109	0.496689263338638	0.993378526677276	0.503310736661362
110	0.466422692360768	0.932845384721536	0.533577307639232
111	0.425603302732772	0.851206605465545	0.574396697267228
112	0.397537543991348	0.795075087982696	0.602462456008652
113	0.510717167191745	0.97856566561651	0.489282832808255
114	0.463076372756203	0.926152745512406	0.536923627243797
115	0.458017195364622	0.916034390729245	0.541982804635378
116	0.416501048832889	0.833002097665778	0.583498951167111
117	0.360696192734502	0.721392385469004	0.639303807265498
118	0.35596917526412	0.71193835052824	0.64403082473588
119	0.337597865229337	0.675195730458674	0.662402134770663
120	0.368310910812222	0.736621821624444	0.631689089187778
121	0.31472432990364	0.62944865980728	0.68527567009636
122	0.386199041102271	0.772398082204542	0.613800958897729
123	0.355855922905729	0.711711845811458	0.644144077094271
124	0.398613159953789	0.797226319907579	0.601386840046211
125	0.412971795171415	0.82594359034283	0.587028204828585
126	0.622065540852485	0.755868918295029	0.377934459147515
127	0.850948855778346	0.298102288443309	0.149051144221654
128	0.839379808212342	0.321240383575317	0.160620191787658
129	0.795750507811682	0.408498984376636	0.204249492188318
130	0.796793856474728	0.406412287050544	0.203206143525272
131	0.739630215508952	0.520739568982096	0.260369784491048
132	0.676363005665169	0.647273988669662	0.323636994334831
133	0.60381566569111	0.792368668617779	0.39618433430889
134	0.518725727182365	0.962548545635271	0.481274272817635
135	0.504678712780143	0.990642574439714	0.495321287219857
136	0.493303291542331	0.986606583084663	0.506696708457669
137	0.49288373788815	0.9857674757763	0.50711626211185
138	0.444043453592041	0.888086907184081	0.555956546407959
139	0.422323800911784	0.844647601823568	0.577676199088216
140	0.818809522869015	0.362380954261971	0.181190477130986
141	0.719284342906731	0.561431314186539	0.280715657093269
142	0.627993268788749	0.744013462422502	0.372006731211251
143	0.490545058493351	0.981090116986702	0.509454941506649

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	0	0	OK