Multiple Linear Regression - Estimated Regression Equation

IQ[t] = + 124.806271001475 -0.539555259424816Add[t] -0.12564858068688MumAge[t] + 0.146475237115816Grade[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)	124.806271001475	10.323086	12.09	0	0
Add	-0.539555259424816	0.115387	-4.6761	1.1e-05	6e-06
MumAge	-0.12564858068688	0.152349	-0.8247	0.411855	0.205927
Grade	0.146475237115816	0.078836	1.858	0.066676	0.033338

Multiple Linear Regression - Regression Statistics
Multiple R	0.650848372128899
R-squared	0.423603603502838
Adjusted R-squared	0.403018017913654
F-TEST (value)	20.5776805166718
F-TEST (DF numerator)	3
F-TEST (DF denominator)	84
p-value	4.34927538428553e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	9.8517620375016
Sum Squared Residuals	8152.80608045885

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	111	104.750484978835	6.24951502116548
2	102	103.62297161924	-1.62297161923987
3	108	107.698759225873	0.301240774126788
4	109	99.2091457895839	9.79085421041612
5	118	108.908321270936	9.09167872906374
6	79	87.3168367109284	-8.31683671092842
7	88	90.7758320928283	-2.77583209282829
8	102	101.661575241762	0.338424758237811
9	105	93.676613279927	11.323386720073
10	92	104.386239081089	-12.3862390810891
11	131	116.398815722138	14.6011842778623
12	104	101.089173349073	2.91082665092666
13	83	87.8354547445783	-4.83545474457834
14	84	100.960209676432	-16.9602096764324
15	85	100.319147584704	-15.3191475847037
16	110	99.7641466871438	10.2358533128562
17	121	112.515160399545	8.48483960045468
18	120	96.5200656027077	23.4799343972923
19	100	106.847483987494	-6.84748398749446
20	94	101.110000005502	-7.11000000550227
21	89	105.094473518285	-16.0944735182852
22	93	103.202995280095	-10.2029952800948
23	128	105.079019105517	22.920980894483
24	84	101.61259432825	-17.6125943282498
25	127	119.828968204841	7.17103179515919
26	106	103.408635394543	2.59136460545659
27	129	116.29948538552	12.7005146144805
28	82	84.0411757081089	-2.04117570810886
29	106	99.365685646541	6.63431435345905
30	109	96.6256867384248	12.3743132615751
31	91	85.7472711901455	5.25272880985452
32	111	108.241170848464	2.75882915153612
33	105	104.130368887514	0.86963111248607
34	118	111.096753717426	6.90324628257439
35	103	101.595202107754	1.40479789224598
36	101	105.057512581608	-4.05751258160795
37	101	103.874948648094	-2.87494864809374
38	95	104.015362999436	-9.01536299943561
39	108	95.6122607114701	12.3877392885299
40	95	98.6917856961814	-3.69178569618137
41	98	82.9970795435758	15.0029204564242
42	82	97.0663703900197	-15.0663703900197
43	100	106.875748813924	-6.87574881392387
44	100	96.3225523003728	3.67744769962715
45	107	104.071892652294	2.92810734770557
46	95	101.198687649512	-6.19868764951186
47	97	91.1776082253852	5.82239177461482
48	93	90.1691044879361	2.8308955120639
49	81	93.3325141711304	-12.3325141711304
50	89	93.1558275252245	-4.1558275252245
51	111	104.954059166943	6.04594083305663
52	95	91.7643083853077	3.23569161469234
53	106	110.188948826188	-4.18894882618803
54	83	91.9793332521174	-8.9793332521174
55	81	93.9742561303392	-12.9742561303392
56	115	105.511006646864	9.48899335313605
57	112	103.601456320698	8.39854367930232
58	92	100.922560097642	-8.92256009764186
59	85	92.2231922434907	-7.22319224349068
60	95	100.940640960251	-5.94064096025089
61	115	107.402484885054	7.59751511494563
62	91	94.3410179085795	-3.34101790857949
63	107	113.991354674771	-6.99135467477126
64	102	83.7879319643744	18.2120680356256
65	86	98.1300352707343	-12.1300352707342
66	96	97.0750665002676	-1.0750665002676
67	114	111.614793678308	2.38520632169178
68	105	100.693466876924	4.30653312307644
69	82	89.8339226280793	-7.83392262807928
70	120	106.299232617822	13.7007673821782
71	88	95.4216162810016	-7.4216162810016
72	90	104.745792602654	-14.745792602654
73	85	97.6059256494445	-12.6059256494445
74	106	113.337592738727	-7.33759273872735
75	109	114.72647665417	-5.72647665417024
76	75	90.0630246234307	-15.0630246234307
77	91	102.57212592682	-11.5721259268197
78	96	84.7191987365149	11.2808012634851
79	108	106.65271647898	1.34728352102048
80	86	103.319947750534	-17.3199477505338
81	98	87.2833102101843	10.7166897898157
82	99	96.485272387083	2.51472761291702
83	95	87.1811235104003	7.81887648959972
84	88	84.7278948467628	3.27210515323724
85	111	106.336193554499	4.66380644550095
86	103	100.620224871049	2.37977512895093
87	107	98.5876524140367	8.41234758596331
88	118	107.02966222104	10.9703377789598

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.163503869587591	0.327007739175183	0.836496130412409
8	0.0738139966896469	0.147627993379294	0.926186003310353
9	0.0460221955137902	0.0920443910275804	0.95397780448621
10	0.0380856759276478	0.0761713518552955	0.961914324072352
11	0.0661861914594557	0.132372382918911	0.933813808540544
12	0.039400046524523	0.0788000930490459	0.960599953475477
13	0.036106388149446	0.072212776298892	0.963893611850554
14	0.412791391035616	0.825582782071232	0.587208608964384
15	0.449688566128575	0.899377132257151	0.550311433871425
16	0.46412823256857	0.928256465137139	0.53587176743143
17	0.403789703096223	0.807579406192446	0.596210296903777
18	0.713459577362132	0.573080845275735	0.286540422637868
19	0.690723649813574	0.618552700372852	0.309276350186426
20	0.632520716090229	0.734958567819542	0.367479283909771
21	0.786661271083772	0.426677457832456	0.213338728916228
22	0.765149097247579	0.469701805504842	0.234850902752421
23	0.963567544366475	0.072864911267051	0.0364324556335255
24	0.982265916157045	0.0354681676859105	0.0177340838429552
25	0.978044678984469	0.0439106420310626	0.0219553210155313
26	0.968245465948056	0.0635090681038869	0.0317545340519435
27	0.972935839075762	0.0541283218484755	0.0270641609242378
28	0.962128126234692	0.0757437475306163	0.0378718737653082
29	0.955321351354827	0.0893572972903451	0.0446786486451725
30	0.958872031694237	0.0822559366115265	0.0411279683057632
31	0.945828344393403	0.108343311213195	0.0541716556065974
32	0.929147969996512	0.141704060006976	0.0708520300034878
33	0.913613896637467	0.172772206725066	0.0863861033625329
34	0.907501372098811	0.184997255802379	0.0924986279011893
35	0.884190886508919	0.231618226982163	0.115809113491082
36	0.86208901908907	0.275821961821861	0.13791098091093
37	0.827905475619297	0.344189048761406	0.172094524380703
38	0.82162960242764	0.356740795144719	0.17837039757236
39	0.846633537748894	0.306732924502212	0.153366462251106
40	0.81400606831408	0.371987863371839	0.18599393168592
41	0.85004879779231	0.29990240441538	0.14995120220769
42	0.90021882572708	0.19956234854584	0.0997811742729199
43	0.883340416301745	0.233319167396511	0.116659583698256
44	0.854455828416214	0.291088343167573	0.145544171583786
45	0.829093494941581	0.341813010116838	0.170906505058419
46	0.804824016801119	0.390351966397761	0.195175983198881
47	0.768898404002555	0.46220319199489	0.231101595997445
48	0.718789482818422	0.562421034363156	0.281210517181578
49	0.750281237945147	0.499437524109706	0.249718762054853
50	0.706410636064714	0.587178727870573	0.293589363935287
51	0.668345948356914	0.663308103286172	0.331654051643086
52	0.610537618590965	0.77892476281807	0.389462381409035
53	0.555089425744954	0.889821148510091	0.444910574255046
54	0.538624233646774	0.922751532706451	0.461375766353226
55	0.581270277059355	0.83745944588129	0.418729722940645
56	0.557752138302643	0.884495723394714	0.442247861697357
57	0.556787537896979	0.886424924206043	0.443212462103021
58	0.534978002224854	0.930043995550292	0.465021997775146
59	0.500241497296428	0.999517005407144	0.499758502703572
60	0.452880863193636	0.905761726387273	0.547119136806363
61	0.433778456140602	0.867556912281203	0.566221543859398
62	0.372499792444519	0.744999584889038	0.627500207555481
63	0.324983686167255	0.64996737233451	0.675016313832745
64	0.440074402923815	0.880148805847631	0.559925597076185
65	0.46534272923133	0.93068545846266	0.53465727076867
66	0.391341917694	0.782683835388001	0.608658082306
67	0.335794478859105	0.67158895771821	0.664205521140895
68	0.282110025762589	0.564220051525178	0.717889974237411
69	0.272644168592394	0.545288337184789	0.727355831407606
70	0.424158282816036	0.848316565632071	0.575841717183964
71	0.383407086341471	0.766814172682941	0.61659291365853
72	0.431582917049243	0.863165834098487	0.568417082950757
73	0.464038052320428	0.928076104640856	0.535961947679572
74	0.398728807535957	0.797457615071913	0.601271192464043
75	0.317456943242838	0.634913886485675	0.682543056757162
76	0.582516364812369	0.834967270375261	0.417483635187631
77	0.805034806057423	0.389930387885154	0.194965193942577
78	0.772796672871306	0.454406654257387	0.227203327128694
79	0.681898951895302	0.636202096209396	0.318101048104698
80	0.947112254872918	0.105775490254165	0.0528877451270825
81	0.930281069708892	0.139437860582216	0.0697189302911081

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	2	0.0266666666666667	OK
10% type I error level	12	0.16	NOK