Multiple Linear Regression - Estimated Regression Equation

E/Introjected[t] = + 7.23124359254075 -0.156662461706075`I/ToKnow`[t] + 0.684714728855979`I/Accomp.`[t] -0.0407110067422431`I/Exp.Stimulation`[t] + 0.0328194315356129`E/Identified`[t] + 0.189562104249828`E/Ext.Regulation`[t] + 0.250551965087687Amotivation[t] -0.644346153149622gender[t] + 0.150792391144349PE[t] -0.141157422196598PS[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)	7.23124359254075	3.237739	2.2334	0.027131	0.013565
`I/ToKnow`	-0.156662461706075	0.112935	-1.3872	0.16762	0.08381
`I/Accomp.`	0.684714728855979	0.082709	8.2786	0	0
`I/Exp.Stimulation`	-0.0407110067422431	0.076596	-0.5315	0.595923	0.297962
`E/Identified`	0.0328194315356129	0.109841	0.2988	0.765549	0.382774
`E/Ext.Regulation`	0.189562104249828	0.088347	2.1456	0.033651	0.016826
Amotivation	0.250551965087687	0.115841	2.1629	0.032272	0.016136
gender	-0.644346153149622	0.634932	-1.0148	0.311964	0.155982
PE	0.150792391144349	0.090626	1.6639	0.098401	0.049201
PS	-0.141157422196598	0.073709	-1.9151	0.057555	0.028777

Multiple Linear Regression - Regression Statistics
Multiple R	0.624933873306455
R-squared	0.390542346005808
Adjusted R-squared	0.350795107701839
F-TEST (value)	9.82564733225276
F-TEST (DF numerator)	9
F-TEST (DF denominator)	138
p-value	1.53219659182469e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.46774715378046
Sum Squared Residuals	1659.48730451224

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	11	17.1887628270360	-6.18876282703598
2	22	14.4563299894549	7.54367001054511
3	23	25.2458629755851	-2.24586297558509
4	21	18.2982447415279	2.70175525847212
5	19	19.6096154166741	-0.609615416674066
6	12	16.2569243613851	-4.25692436138505
7	24	19.8435008151467	4.15649918485333
8	21	21.2614173788212	-0.261417378821210
9	21	21.7983582877648	-0.798358287764784
10	26	22.3748097650295	3.62519023497049
11	18	19.7223722314581	-1.72237223145814
12	21	22.9613006787073	-1.96130067870733
13	22	16.6921046805205	5.30789531947951
14	26	20.7806617001083	5.21933829989173
15	20	23.5106082182199	-3.51060821821988
16	20	22.0480874938838	-2.04808749388376
17	26	23.2733627075316	2.72663729246839
18	27	22.4598562581461	4.54014374185394
19	27	21.4060302665264	5.59396973347362
20	16	16.9636291069249	-0.96362910692488
21	26	24.5673909777789	1.43260902222108
22	20	18.7693132416373	1.23068675836266
23	25	23.314559735533	1.68544026446699
24	16	19.153135796367	-3.15313579636700
25	20	20.6984874601326	-0.698487460132645
26	20	18.8994630005762	1.1005369994238
27	24	20.4138493507099	3.58615064929007
28	24	22.6145794408585	1.38542055914148
29	22	15.8322923139104	6.16770768608959
30	18	18.8872871677340	-0.887287167734022
31	21	21.1689370678466	-0.168937067846635
32	17	18.1124853802839	-1.11248538028394
33	15	17.6125792301426	-2.61257923014258
34	28	25.2409148305753	2.75908516942467
35	23	18.1534309205847	4.84656907941531
36	19	17.8948872580436	1.10511274195636
37	15	17.6477378428373	-2.6477378428373
38	26	23.4961507746566	2.50384922534336
39	20	24.9812770994927	-4.98127709949271
40	11	14.9543741856871	-3.95437418568707
41	17	19.5076319547439	-2.50763195474392
42	16	18.0159081532637	-2.01590815326374
43	21	22.5267747024960	-1.52677470249604
44	18	17.2604132937167	0.739586706283348
45	17	17.6482452784581	-0.648245278458144
46	21	21.5993958166478	-0.599395816647835
47	18	21.3327762174706	-3.33277621747061
48	16	14.408715768842	1.591284231158
49	13	15.7811597303024	-2.78115973030241
50	28	26.9252065337475	1.07479346625247
51	25	18.0224066576685	6.97759334233148
52	24	21.3148288677740	2.68517113222596
53	15	18.1465145756053	-3.14651457560527
54	21	22.1150334611454	-1.11503346114539
55	11	17.3055435446565	-6.30554354465651
56	27	22.4873160608003	4.51268393919967
57	23	20.779840457241	2.22015954275900
58	21	23.0554336647138	-2.05543366471380
59	16	16.7927628387478	-0.79276283874781
60	20	19.4038867827854	0.596113217214579
61	21	22.8359293892082	-1.83592938920819
62	10	16.5624004427194	-6.56240044271935
63	18	24.950439502491	-6.95043950249101
64	20	19.7994979719089	0.200502028091068
65	21	26.7991340167883	-5.79913401678832
66	24	21.2536920497936	2.74630795020637
67	26	23.4234156694060	2.57658433059402
68	23	21.3755221230489	1.62447787695114
69	22	21.4302156175096	0.569784382490431
70	13	15.6755620232162	-2.67556202321618
71	27	25.3416057808712	1.6583942191288
72	24	20.9864430479559	3.01355695204411
73	19	22.8976974155697	-3.89769741556970
74	17	19.0422683298177	-2.04226832981766
75	16	20.2335138850657	-4.23351388506566
76	20	19.2550767843741	0.744923215625898
77	8	14.119714762494	-6.119714762494
78	16	20.0472167220481	-4.04721672204815
79	17	19.1298674151291	-2.12986741512906
80	23	23.5329828397716	-0.532982839771556
81	18	18.6175506623624	-0.617550662362426
82	24	23.5123371937705	0.487662806229457
83	17	16.8018494441569	0.198150555843109
84	20	21.1964205354342	-1.19642053543419
85	22	20.2869921084884	1.71300789151159
86	22	19.7153419994461	2.28465800055394
87	20	20.3920587044841	-0.392058704484145
88	18	22.659226099686	-4.65922609968601
89	21	18.7646190618474	2.23538093815263
90	23	19.1102805206258	3.88971947937421
91	28	22.4080097430397	5.59199025696031
92	19	21.1431661016515	-2.14316610165151
93	22	18.7306914407520	3.26930855924803
94	17	20.630582557575	-3.630582557575
95	25	23.7600210053301	1.23997899466989
96	22	22.0333878398901	-0.0333878398900595
97	21	20.4517074116339	0.54829258836611
98	15	20.2664311077195	-5.26643110771953
99	20	19.9515446522506	0.0484553477493742
100	25	19.0250251537319	5.97497484626807
101	21	19.5885006445898	1.41149935541024
102	24	25.1898300578726	-1.18983005787262
103	23	22.1355319133634	0.864468086636633
104	22	23.9847330929990	-1.98473309299895
105	14	19.0529206292084	-5.05292062920841
106	11	20.9949953105267	-9.99499531052673
107	22	20.1124819689373	1.88751803106270
108	22	22.1018216029887	-0.101821602988680
109	6	13.7634887169726	-7.76348871697257
110	15	21.2973529597553	-6.29735295975528
111	26	21.7036420005457	4.29635799945426
112	26	21.8530142143818	4.14698578561819
113	20	15.9781361683029	4.0218638316971
114	26	24.0211342812475	1.97886571875252
115	15	16.7611299546477	-1.76112995464770
116	25	21.0607484198997	3.93925158010031
117	22	22.9548358783562	-0.954835878356176
118	20	21.3716323893948	-1.37163238939482
119	18	20.6186987124349	-2.61869871243485
120	23	16.5215149542846	6.47848504571544
121	22	20.036048986228	1.96395101377202
122	23	20.1396142235334	2.86038577646658
123	17	20.8876850950878	-3.8876850950878
124	20	17.6302127629929	2.36978723700714
125	21	21.4433052748186	-0.443305274818585
126	23	24.2748336348976	-1.27483363489764
127	25	23.5323518672976	1.46764813270237
128	25	22.2975893978394	2.70241060216059
129	21	18.5787052829325	2.42129471706754
130	22	20.2230201587073	1.77697984129266
131	18	18.0548836246437	-0.054883624643704
132	18	24.0087645771665	-6.00876457716654
133	18	21.5994312412264	-3.59943124122642
134	21	19.4943913104839	1.50560868951609
135	21	17.9213815095301	3.07861849046989
136	25	20.4607148431681	4.53928515683194
137	24	19.9346551576881	4.06534484231186
138	24	23.3651848063123	0.634815193687677
139	28	25.3361942093787	2.66380579062131
140	24	22.9009407464159	1.0990592535841
141	22	22.2477233066586	-0.247723306658584
142	22	21.7992582536119	0.200741746388102
143	20	21.8750954544727	-1.87509545447273
144	25	21.9842849504339	3.01571504956611
145	13	17.8906191366642	-4.89061913666421
146	21	19.7457024157972	1.25429758420276
147	23	19.0952148228556	3.90478517714438
148	18	21.0318426087169	-3.03184260871692

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.677995706129739	0.644008587740522	0.322004293870261
14	0.602711736700602	0.794576526598796	0.397288263299398
15	0.750646666826606	0.498706666346788	0.249353333173394
16	0.652281766550503	0.695436466898993	0.347718233449497
17	0.799807751914372	0.400384496171257	0.200192248085628
18	0.803855147201332	0.392289705597336	0.196144852798668
19	0.858849323649409	0.282301352701182	0.141150676350591
20	0.884345291451866	0.231309417096268	0.115654708548134
21	0.86586321669207	0.268273566615861	0.134136783307930
22	0.818681029167776	0.362637941664447	0.181318970832224
23	0.816043327710909	0.367913344578182	0.183956672289091
24	0.815269601535404	0.369460796929192	0.184730398464596
25	0.75970832124439	0.48058335751122	0.24029167875561
26	0.706831633879938	0.586336732240124	0.293168366120062
27	0.718121304155873	0.563757391688254	0.281878695844127
28	0.675458420331932	0.649083159336136	0.324541579668068
29	0.660160238069538	0.679679523860925	0.339839761930462
30	0.614820136109636	0.770359727780728	0.385179863890364
31	0.599775409027212	0.800449181945576	0.400224590972788
32	0.575313374102829	0.849373251794342	0.424686625897171
33	0.566894734657509	0.866210530684982	0.433105265342491
34	0.524005182365892	0.951989635268216	0.475994817634108
35	0.533964995988525	0.93207000802295	0.466035004011475
36	0.475357723402363	0.950715446804727	0.524642276597637
37	0.523197519552449	0.953604960895102	0.476802480447551
38	0.47439058236237	0.94878116472474	0.52560941763763
39	0.513095127676726	0.973809744646547	0.486904872323274
40	0.592692713130364	0.814614573739271	0.407307286869636
41	0.637334447841147	0.725331104317705	0.362665552158853
42	0.600656514403622	0.798686971192755	0.399343485596378
43	0.553454254319301	0.893091491361399	0.446545745680699
44	0.500287830401348	0.999424339197305	0.499712169598652
45	0.447354303783001	0.894708607566003	0.552645696216999
46	0.392921401815876	0.785842803631751	0.607078598184124
47	0.37093251550116	0.74186503100232	0.62906748449884
48	0.355720278553454	0.711440557106908	0.644279721446546
49	0.357700217326045	0.715400434652091	0.642299782673954
50	0.31816188803583	0.63632377607166	0.68183811196417
51	0.457132614387387	0.914265228774773	0.542867385612613
52	0.43264988527883	0.86529977055766	0.56735011472117
53	0.423541160462101	0.847082320924201	0.576458839537899
54	0.378011410661518	0.756022821323036	0.621988589338482
55	0.488837054663702	0.977674109327404	0.511162945336298
56	0.493002674452922	0.986005348905843	0.506997325547078
57	0.473129789753619	0.946259579507238	0.526870210246381
58	0.453936753654826	0.907873507309652	0.546063246345174
59	0.40708252822896	0.81416505645792	0.59291747177104
60	0.358039676558185	0.71607935311637	0.641960323441815
61	0.34552167432854	0.69104334865708	0.65447832567146
62	0.451770641213938	0.903541282427876	0.548229358786062
63	0.553299590859882	0.893400818280236	0.446700409140118
64	0.504432348775989	0.991135302448022	0.495567651224011
65	0.611847848958909	0.776304302082182	0.388152151041091
66	0.596720518276061	0.806558963447878	0.403279481723939
67	0.603291074850699	0.793417850298602	0.396708925149301
68	0.564298977161421	0.871402045677157	0.435701022838579
69	0.517299617496567	0.965400765006866	0.482700382503433
70	0.505369732283409	0.989260535433183	0.494630267716591
71	0.464909185605657	0.929818371211314	0.535090814394343
72	0.463982117853419	0.927964235706837	0.536017882146582
73	0.476940950811564	0.953881901623127	0.523059049188436
74	0.439467010114985	0.87893402022997	0.560532989885015
75	0.474139284246975	0.948278568493951	0.525860715753025
76	0.426213840130159	0.852427680260318	0.573786159869841
77	0.551250174475276	0.897499651049448	0.448749825524724
78	0.561677773793450	0.876644452413101	0.438322226206550
79	0.530507832739866	0.938984334520269	0.469492167260134
80	0.489594468987761	0.979188937975522	0.510405531012239
81	0.440642684601365	0.88128536920273	0.559357315398635
82	0.391967153698413	0.783934307396825	0.608032846301587
83	0.344349272297088	0.688698544594176	0.655650727702912
84	0.301667094791423	0.603334189582845	0.698332905208577
85	0.266486653343634	0.532973306687268	0.733513346656366
86	0.239001371489229	0.478002742978458	0.760998628510771
87	0.201825181279095	0.403650362558191	0.798174818720905
88	0.227048191419849	0.454096382839699	0.772951808580151
89	0.203967554535923	0.407935109071845	0.796032445464077
90	0.210271404476831	0.420542808953662	0.789728595523169
91	0.277128056437941	0.554256112875882	0.722871943562059
92	0.252018901874282	0.504037803748565	0.747981098125718
93	0.256319185287164	0.512638370574328	0.743680814712836
94	0.274540000138981	0.549080000277963	0.725459999861019
95	0.236158197674978	0.472316395349955	0.763841802325023
96	0.200039811730385	0.400079623460769	0.799960188269615
97	0.166063231826463	0.332126463652926	0.833936768173537
98	0.205854798677417	0.411709597354834	0.794145201322583
99	0.169928622989791	0.339857245979581	0.83007137701021
100	0.261165029292854	0.522330058585708	0.738834970707146
101	0.225011052977849	0.450022105955697	0.774988947022151
102	0.195880694919925	0.391761389839849	0.804119305080075
103	0.161203106414377	0.322406212828754	0.838796893585623
104	0.147515472224250	0.295030944448501	0.85248452777575
105	0.162569154956694	0.325138309913387	0.837430845043306
106	0.528763159178827	0.942473681642345	0.471236840821173
107	0.479537366612390	0.959074733224781	0.520462633387609
108	0.451500775952409	0.903001551904818	0.548499224047591
109	0.736207538735695	0.527584922528611	0.263792461264305
110	0.874485947372708	0.251028105254585	0.125514052627292
111	0.87155083162123	0.256898336757541	0.128449168378770
112	0.90922515601068	0.181549687978640	0.0907748439893198
113	0.89805576283295	0.203888474334098	0.101944237167049
114	0.886063853200895	0.227872293598209	0.113936146799105
115	0.90953140575044	0.180937188499120	0.0904685942495602
116	0.888454940212255	0.22309011957549	0.111545059787745
117	0.852138083336423	0.295723833327154	0.147861916663577
118	0.83914299744667	0.321714005106659	0.160857002553329
119	0.83992568049047	0.320148639019059	0.160074319509530
120	0.904857249881138	0.190285500237724	0.0951427501188618
121	0.873831875244355	0.252336249511289	0.126168124755645
122	0.871113137342259	0.257773725315483	0.128886862657741
123	0.862227902649604	0.275544194700792	0.137772097350396
124	0.817090098081669	0.365819803836662	0.182909901918331
125	0.75362543456736	0.492749130865281	0.246374565432640
126	0.715611478472783	0.568777043054435	0.284388521527217
127	0.637962539994239	0.724074920011523	0.362037460005761
128	0.558612751489568	0.882774497020864	0.441387248510432
129	0.470752795323139	0.941505590646277	0.529247204676861
130	0.42922912248375	0.8584582449675	0.57077087751625
131	0.327137270241885	0.654274540483771	0.672862729758115
132	0.251334008456016	0.502668016912032	0.748665991543984
133	0.482198632732593	0.964397265465186	0.517801367267407
134	0.620791054297009	0.758417891405981	0.379208945702991
135	0.596598956247213	0.806802087505573	0.403401043752787

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