Multiple Linear Regression - Estimated Regression Equation

Nonverbal[t] = + 57.5799653413098 + 0.680297709218542Gender[t] + 0.117226208142543Anxiety[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)	57.5799653413098	2.622451	21.9565	0	0
Gender	0.680297709218542	1.15872	0.5871	0.557951	0.278976
Anxiety	0.117226208142543	0.042248	2.7747	0.006179	0.00309

Multiple Linear Regression - Regression Statistics
Multiple R	0.225398005717431
R-squared	0.050804260981395
Adjusted R-squared	0.0390130095650149
F-TEST (value)	4.30864029502574
F-TEST (DF numerator)	2
F-TEST (DF denominator)	161
p-value	0.0150362759913250
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	7.19587115061747
Sum Squared Residuals	8336.67042022248

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	73	67.0291691215817	5.97083087841833
2	58	64.473252082083	-6.47325208208304
3	68	63.3009900006576	4.69900999934241
4	69	65.9741332482994	3.02586675170064
5	62	64.0043472495128	-2.00434724951285
6	68	65.5282879553659	2.47171204463409
7	65	63.5354424169427	1.46455758305732
8	65	64.1215734576554	0.878426542344606
9	81	67.052228661219	13.9477713387810
10	73	67.8728121182168	5.12718788178324
11	64	65.9741332482994	-1.97413324829936
12	68	65.1766093309383	2.82339066906172
13	51	60.7220134215217	-9.72201342152166
14	68	62.94931137623	5.05068862377003
15	61	65.5282879553659	-4.52828795536591
16	77	65.2707759994441	11.7292240005559
17	69	63.7698948332278	5.23010516677223
18	73	65.1766093309383	7.82339066906172
19	61	63.2779304610209	-2.27793046102088
20	62	63.9812877098761	-1.98128770987613
21	63	63.8871210413703	-0.887121041370309
22	69	65.1766093309383	3.82339066906172
23	47	68.2014312030077	-21.2014312030077
24	66	66.2085856645844	-0.208585664584444
25	58	60.1358823808089	-2.13588238080894
26	63	63.3951566691634	-0.395156669163421
27	69	65.0593831227957	3.94061687720426
28	59	65.9741332482994	-6.97413324829936
29	59	66.7005500367913	-7.70055003679133
30	63	66.7947167052972	-3.79471670529716
31	65	65.3880022075867	-0.388002207586646
32	65	63.7698948332278	1.23010516677223
33	71	65.8569070401568	5.14309295984318
34	60	64.0043472495128	-4.00434724951285
35	66	64.4501925424463	1.54980745755370
36	67	64.9421569146532	2.05784308534681
37	81	63.512382877306	17.4876171226940
38	62	64.0043472495128	-2.00434724951285
39	63	61.3081444622344	1.69185553776563
40	73	65.1535497913016	7.84645020869844
41	55	67.7325263704375	-12.7325263704375
42	59	65.8799665797935	-6.87996657979353
43	64	64.0043472495128	-0.00434724951285137
44	63	64.5674187505888	-1.56741875058885
45	74	64.2157401261612	9.78425987383878
46	67	62.5745732121656	4.42542678783438
47	64	66.1144189960786	-2.11441899607862
48	73	65.4110617472234	7.58893825277664
49	54	64.0043472495128	-10.0043472495129
50	76	66.3488714123637	9.6511285876363
51	74	65.2707759994441	8.7292240005559
52	63	68.3186574111502	-5.31865741115021
53	73	65.6224546238717	7.37754537612827
54	67	62.9262518365933	4.07374816340675
55	68	67.0291691215822	0.970830878417757
56	66	63.4182162088001	2.58178379119986
57	62	67.1463953297248	-5.14639532972478
58	71	64.9190973750165	6.08090262498353
59	68	65.997192787936	2.00280721206392
60	63	60.370334797094	2.62966520290597
61	75	66.9350024530764	8.06499754692358
62	77	65.1766093309383	11.8233906690617
63	62	64.5674187505888	-2.56741875058885
64	74	64.7077044983681	9.29229550163189
65	67	64.0985139180187	2.90148608198132
66	56	65.5052284157292	-9.50522841572919
67	60	66.560264289012	-6.56026428901207
68	58	67.9669787867226	-9.96697878672258
69	65	63.6526686250852	1.34733137491478
70	49	67.1463953297248	-18.1463953297248
71	61	62.8320851680874	-1.83208516808743
72	66	65.3880022075867	0.611997792413354
73	64	64.0985139180187	-0.0985139180186764
74	65	64.2157401261612	0.78425987383878
75	46	63.5354424169427	-17.5354424169427
76	81	61.8712159633104	19.1287840366896
77	65	64.6846449587314	0.31535504126861
78	72	65.8799665797935	6.12003342020647
79	65	64.2157401261612	0.78425987383878
80	74	67.2636215378673	6.73637846213267
81	69	63.8871210413703	5.11287895862969
82	59	63.0665375843725	-4.06653758437251
83	58	63.6296090854485	-5.62960908544851
84	71	65.762740371651	5.23725962834901
85	79	65.5052284157292	13.4947715842708
86	68	65.036323583159	2.96367641684098
87	66	63.0665375843725	2.93346241562749
88	62	64.2157401261612	-2.21574012616122
89	69	64.0043472495128	4.99565275048715
90	60	63.183763792515	-3.18376379251505
91	63	65.2707759994441	-2.27077599944410
92	62	62.94931137623	-0.949311376229968
93	61	62.94931137623	-1.94931137622997
94	65	64.9190973750165	0.080902624983525
95	64	63.8871210413703	0.112878958629691
96	67	68.3186574111502	-1.31865741115021
97	56	63.3951566691634	-7.39515666916342
98	56	65.6224546238717	-9.62245462387173
99	48	61.5425968785195	-13.5425968785195
100	74	64.238799665798	9.76120033420206
101	69	63.6526686250852	5.34733137491478
102	62	65.0593831227957	-3.05938312279573
103	73	66.1144189960786	6.88558100392138
104	64	66.7005500367913	-2.70055003679133
105	57	61.3081444622344	-4.30814446223437
106	57	64.5904782902256	-7.59047829022556
107	60	65.1535497913016	-5.15354979130156
108	61	67.0291691215822	-6.02916912158224
109	72	65.762740371651	6.23725962834901
110	57	63.7698948332278	-6.76989483322777
111	51	63.3009900006576	-12.3009900006576
112	63	65.997192787936	-2.99719278793608
113	54	64.5904782902256	-10.5904782902256
114	72	65.5282879553659	6.47171204463409
115	62	64.3560258739405	-2.35602587394048
116	68	65.762740371651	2.23725962834901
117	62	64.7077044983681	-2.70770449836811
118	63	65.6224546238717	-2.62245462387173
119	77	66.9350024530764	10.0649975469236
120	57	62.0115017110896	-5.01150171108963
121	57	62.7148589599449	-5.71485895994488
122	61	65.997192787936	-4.99719278793608
123	66	63.2779304610209	2.72206953897912
124	65	61.3081444622344	3.69185553776563
125	63	65.762740371651	-2.76274037165099
126	59	61.5425968785195	-2.54259687851946
127	66	66.6774904971546	-0.677490497154615
128	68	65.8799665797935	2.12003342020647
129	72	63.8871210413703	8.11287895862969
130	68	63.4182162088001	4.58178379119986
131	68	66.4430380808695	1.55696191913047
132	67	62.8320851680874	4.16791483191257
133	59	64.1215734576554	-5.12157345765539
134	56	64.3560258739405	-8.35602587394048
135	62	65.997192787936	-3.99719278793608
136	55	64.5674187505888	-9.56741875058885
137	72	67.1463953297248	4.85360467027522
138	68	66.6774904971546	1.32250950284539
139	67	65.4110617472234	1.58893825277664
140	54	61.8942755029471	-7.89427550294709
141	69	66.0913594564419	2.9086405435581
142	61	64.5904782902256	-3.59047829022556
143	55	62.2459541273747	-7.24595412737471
144	75	66.2085856645844	8.79141433541556
145	55	63.7698948332278	-8.76989483322776
146	49	64.3560258739405	-15.3560258739405
147	54	63.2779304610209	-9.27793046102088
148	51	63.6526686250852	-12.6526686250852
149	66	64.1215734576554	1.87842654234461
150	73	65.4110617472234	7.58893825277664
151	63	67.1463953297248	-4.14639532972478
152	61	63.3951566691634	-2.39515666916342
153	74	65.6455141635085	8.35448583649155
154	81	62.9262518365933	18.0737481634068
155	58	63.6526686250852	-5.65266862508522
156	62	62.94931137623	-0.949311376229968
157	64	61.7770492948045	2.22295070519546
158	62	62.3631803355173	-0.363180335517254
159	85	64.238799665798	20.7612003342021
160	74	64.8249307065107	9.17506929348935
161	51	66.2316452042212	-15.2316452042212
162	66	62.8320851680874	3.16791483191257
163	61	64.0985139180187	-3.09851391801868
164	72	65.0593831227957	6.94061687720426

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.310210909251686	0.620421818503372	0.689789090748314
7	0.172998790267757	0.345997580535515	0.827001209732243
8	0.0873697445444499	0.174739489088900	0.91263025545555
9	0.166990480739183	0.333980961478366	0.833009519260817
10	0.136134865667434	0.272269731334869	0.863865134332566
11	0.106647401292022	0.213294802584044	0.893352598707978
12	0.0624762262255569	0.124952452451114	0.937523773774443
13	0.0402481758679124	0.0804963517358247	0.959751824132088
14	0.0533277866049333	0.106655573209867	0.946672213395067
15	0.0773298852551757	0.154659770510351	0.922670114744824
16	0.140720819925870	0.281441639851741	0.85927918007413
17	0.123873629537169	0.247747259074339	0.876126370462831
18	0.109973715250005	0.219947430500009	0.890026284749995
19	0.0783225308664774	0.156645061732955	0.921677469133523
20	0.055490937123747	0.110981874247494	0.944509062876253
21	0.0374563571235878	0.0749127142471756	0.962543642876412
22	0.0245469995594046	0.0490939991188092	0.975453000440595
23	0.616261800544542	0.767476398910916	0.383738199455458
24	0.550615560102225	0.89876887979555	0.449384439897775
25	0.486306876137384	0.972613752274768	0.513693123862616
26	0.425548726978933	0.851097453957867	0.574451273021066
27	0.369581341611885	0.73916268322377	0.630418658388115
28	0.356718586902994	0.713437173805987	0.643281413097006
29	0.413122366360036	0.826244732720071	0.586877633639964
30	0.363823835379656	0.727647670759312	0.636176164620344
31	0.30987572364427	0.61975144728854	0.69012427635573
32	0.259163075946671	0.518326151893343	0.740836924053329
33	0.247964078379981	0.495928156759962	0.752035921620019
34	0.224007082277735	0.448014164555471	0.775992917722265
35	0.188544316125719	0.377088632251439	0.81145568387428
36	0.153109785036411	0.306219570072823	0.846890214963589
37	0.396833246884658	0.793666493769317	0.603166753115342
38	0.352246207751327	0.704492415502655	0.647753792248673
39	0.303642743615608	0.607285487231215	0.696357256384392
40	0.307147091922165	0.61429418384433	0.692852908077835
41	0.414364243541777	0.828728487083553	0.585635756458223
42	0.41136955285004	0.82273910570008	0.58863044714996
43	0.361397539497226	0.722795078994451	0.638602460502774
44	0.316705785580834	0.633411571161669	0.683294214419166
45	0.34814323253442	0.69628646506884	0.65185676746558
46	0.311450972729754	0.622901945459508	0.688549027270246
47	0.270490447033452	0.540980894066904	0.729509552966548
48	0.27541296925933	0.55082593851866	0.72458703074067
49	0.326742550851254	0.653485101702509	0.673257449148746
50	0.366426771307034	0.732853542614067	0.633573228692966
51	0.380981135514466	0.761962271028933	0.619018864485534
52	0.358040819836817	0.716081639673633	0.641959180163183
53	0.354946485819102	0.709892971638203	0.645053514180898
54	0.319405081459105	0.63881016291821	0.680594918540895
55	0.277795223171186	0.555590446342372	0.722204776828814
56	0.241677252838508	0.483354505677017	0.758322747161492
57	0.224507627807565	0.449015255615130	0.775492372192435
58	0.210247247563593	0.420494495127187	0.789752752436407
59	0.179855843678583	0.359711687357165	0.820144156321417
60	0.153389692775986	0.306779385551973	0.846610307224014
61	0.162565941394126	0.325131882788251	0.837434058605874
62	0.211911337058058	0.423822674116117	0.788088662941942
63	0.186370485559829	0.372740971119659	0.81362951444017
64	0.202171568146785	0.40434313629357	0.797828431853215
65	0.174728746015766	0.349457492031532	0.825271253984234
66	0.203729872008481	0.407459744016961	0.79627012799152
67	0.198878100538312	0.397756201076624	0.801121899461688
68	0.226878327809707	0.453756655619414	0.773121672190293
69	0.195164123380500	0.390328246761001	0.8048358766195
70	0.402580997104305	0.80516199420861	0.597419002895695
71	0.368644382314957	0.737288764629915	0.631355617685043
72	0.326818578761128	0.653637157522255	0.673181421238872
73	0.286900970823955	0.57380194164791	0.713099029176045
74	0.249619144560611	0.499238289121222	0.750380855439389
75	0.474738048378903	0.949476096757806	0.525261951621097
76	0.734575166571428	0.530849666857144	0.265424833428572
77	0.696735290435786	0.606529419128428	0.303264709564214
78	0.68306081809967	0.63387836380066	0.31693918190033
79	0.64347059290678	0.713058814186439	0.356529407093219
80	0.63973826478575	0.720523470428499	0.360261735214250
81	0.618066841394268	0.763866317211465	0.381933158605732
82	0.592893687727798	0.814212624544404	0.407106312272202
83	0.576138592390171	0.84772281521966	0.42386140760983
84	0.552507003937393	0.894985992125214	0.447492996062607
85	0.667042957363896	0.665914085272209	0.332957042636104
86	0.63503273288858	0.729934534222841	0.364967267111420
87	0.60209508690228	0.79580982619544	0.39790491309772
88	0.562467244144271	0.875065511711457	0.437532755855729
89	0.540536091455073	0.918927817089854	0.459463908544927
90	0.506789089827777	0.986421820344445	0.493210910172223
91	0.465110437597987	0.930220875195973	0.534889562402013
92	0.423967926736327	0.847935853472654	0.576032073263673
93	0.385424786438465	0.77084957287693	0.614575213561535
94	0.343758237343000	0.687516474686001	0.656241762657
95	0.304070917242269	0.608141834484538	0.695929082757731
96	0.267788805435165	0.53557761087033	0.732211194564835
97	0.264567989483825	0.529135978967651	0.735432010516175
98	0.292490097623302	0.584980195246603	0.707509902376698
99	0.386751621817204	0.773503243634408	0.613248378182796
100	0.427310385664502	0.854620771329003	0.572689614335498
101	0.412012319138002	0.824024638276005	0.587987680861998
102	0.375036168074823	0.750072336149645	0.624963831925177
103	0.370145561138251	0.740291122276502	0.629854438861749
104	0.333396067352149	0.666792134704297	0.666603932647851
105	0.303960502660481	0.607921005320962	0.696039497339519
106	0.304692878933389	0.609385757866778	0.695307121066611
107	0.283789111162186	0.567578222324372	0.716210888837814
108	0.277902568140514	0.555805136281027	0.722097431859486
109	0.267127333928124	0.534254667856248	0.732872666071876
110	0.257287665573385	0.514575331146771	0.742712334426615
111	0.321917992090062	0.643835984180123	0.678082007909938
112	0.287076997467609	0.574153994935218	0.712923002532391
113	0.331026714464624	0.662053428929247	0.668973285535376
114	0.320059602080744	0.640119204161488	0.679940397919256
115	0.280868680048477	0.561737360096953	0.719131319951523
116	0.243998440727626	0.487996881455252	0.756001559272374
117	0.210963220327935	0.421926440655871	0.789036779672065
118	0.182776318412032	0.365552636824064	0.817223681587968
119	0.211024944000194	0.422049888000388	0.788975055999806
120	0.188346952971884	0.376693905943768	0.811653047028116
121	0.171611675760098	0.343223351520197	0.828388324239901
122	0.152682838057148	0.305365676114297	0.847317161942852
123	0.126971475421588	0.253942950843175	0.873028524578412
124	0.110535213709842	0.221070427419684	0.889464786290158
125	0.090622278565921	0.181244557131842	0.909377721434079
126	0.0720266788960841	0.144053357792168	0.927973321103916
127	0.0562274634867515	0.112454926973503	0.943772536513248
128	0.0435095081782084	0.0870190163564169	0.956490491821792
129	0.0470213054083541	0.0940426108167081	0.952978694591646
130	0.0408663249427894	0.0817326498855788	0.95913367505721
131	0.0303418648828558	0.0606837297657115	0.969658135117144
132	0.0259822594810694	0.0519645189621389	0.97401774051893
133	0.0206295127139618	0.0412590254279236	0.979370487286038
134	0.0204263729300918	0.0408527458601836	0.979573627069908
135	0.0159309305102827	0.0318618610205654	0.984069069489717
136	0.0202822640560161	0.0405645281120322	0.979717735943984
137	0.0149377193119745	0.0298754386239491	0.985062280688025
138	0.0102673033399197	0.0205346066798394	0.98973269666008
139	0.00693287268705037	0.0138657453741007	0.99306712731295
140	0.00613256512265778	0.0122651302453156	0.993867434877342
141	0.00400683922523168	0.00801367845046335	0.995993160774768
142	0.00269772689546089	0.00539545379092178	0.99730227310454
143	0.00234079077861269	0.00468158155722539	0.997659209221387
144	0.00245806631964584	0.00491613263929168	0.997541933680354
145	0.00271670294019517	0.00543340588039034	0.997283297059805
146	0.0106094511570275	0.0212189023140550	0.989390548842973
147	0.0140334196885620	0.0280668393771241	0.985966580311438
148	0.0395481734065344	0.0790963468130687	0.960451826593466
149	0.0259740521512477	0.0519481043024954	0.974025947848752
150	0.0213278919238424	0.0426557838476849	0.978672108076158
151	0.0143065462257398	0.0286130924514797	0.98569345377426
152	0.0127259578367387	0.0254519156734774	0.987274042163261
153	0.0115837287116070	0.0231674574232141	0.988416271288393
154	0.0319528268247626	0.0639056536495251	0.968047173175237
155	0.0297577590696647	0.0595155181393294	0.970242240930335
156	0.0192712436035882	0.0385424872071764	0.980728756396412
157	0.0116863793108050	0.0233727586216100	0.988313620689195
158	0.0185681084816001	0.0371362169632001	0.9814318915184

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	5	0.0326797385620915	NOK
5% type I error level	23	0.150326797385621	NOK
10% type I error level	34	0.222222222222222	NOK