Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 192.32646202974 -0.0932944457947645Jaar[t] + 0.105538702589016Connected[t] -0.0133280703286124Separate[t] + 0.529685111915017Software[t] + 0.0522729799854157Happiness[t] -0.0637883373720879Depression[t] + 0.042922392379569Belonging[t] -0.0575356543912696Belonging_final[t] + 0.00253534923079147t + 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)	192.32646202974	1036.097189	0.1856	0.852986	0.426493
Jaar	-0.0932944457947645	0.518185	-0.18	0.85736	0.42868
Connected	0.105538702589016	0.047385	2.2272	0.027401	0.0137
Separate	-0.0133280703286124	0.045596	-0.2923	0.77045	0.385225
Software	0.529685111915017	0.069743	7.5948	0	0
Happiness	0.0522729799854157	0.076672	0.6818	0.496418	0.248209
Depression	-0.0637883373720879	0.056708	-1.1249	0.262422	0.131211
Belonging	0.042922392379569	0.045038	0.953	0.342087	0.171043
Belonging_final	-0.0575356543912696	0.064609	-0.8905	0.374595	0.187297
t	0.00253534923079147	0.037686	0.0673	0.946451	0.473225

Multiple Linear Regression - Regression Statistics
Multiple R	0.603200621443045
R-squared	0.363850989709276
Adjusted R-squared	0.326184271994694
F-TEST (value)	9.65974769732629
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	1.34958710873434e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85208074720042
Sum Squared Residuals	521.390870310872

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3170547930121	-3.31705479301213
2	16	16.2549378195265	-0.254937819526474
3	19	16.4884782520462	2.51152174795377
4	15	12.1363501387885	2.86364986121146
5	14	15.8436052409297	-1.84360524092969
6	13	15.1761986463208	-2.17619864632084
7	19	15.2889243298414	3.71107567015857
8	15	16.9266444909602	-1.92664449096021
9	14	16.1828846725128	-2.18288467251278
10	15	12.852272305717	2.14772769428302
11	16	15.4819901379404	0.518009862059594
12	16	16.3724673903235	-0.37246739032346
13	16	15.6959471043433	0.304052895656717
14	16	15.4783133933391	0.521686606660916
15	17	17.605110215184	-0.605110215184028
16	15	15.2354752836093	-0.235475283609271
17	15	14.825983070626	0.17401692937405
18	20	16.4073517903786	3.59264820962139
19	18	15.6105362176761	2.3894637823239
20	16	15.3843566558244	0.6156433441756
21	16	15.4297780664747	0.570221933525306
22	16	14.9839245657715	1.01607543422848
23	19	16.5835324750196	2.41646752498041
24	16	14.9258716573928	1.07412834260725
25	17	15.0507775478332	1.94922245216681
26	17	17.1226675024419	-0.12266750244187
27	16	15.1719625794025	0.828037420597533
28	15	16.2322744173616	-1.23227441736162
29	16	15.6735790184592	0.326420981540819
30	14	14.1623686020954	-0.16236860209539
31	15	15.7611294974257	-0.761129497425709
32	12	12.4344966115287	-0.434496611528666
33	14	15.2474750141503	-1.24747501415034
34	16	15.66956066276	0.330439337240045
35	14	15.846746778461	-1.84674677846099
36	7	13.1294441128629	-6.12944411286285
37	10	11.2403339164082	-1.24033391640817
38	14	15.9552045061731	-1.95520450617308
39	16	14.460382487547	1.539617512453
40	16	14.6967934168263	1.30320658317367
41	16	15.1340735376307	0.865926462369281
42	14	15.6998242724917	-1.6998242724917
43	20	17.8411498207178	2.15885017928224
44	14	14.302720012127	-0.30272001212702
45	14	14.9766653050329	-0.976665305032891
46	11	15.7320349448778	-4.73203494487779
47	14	16.4793529564157	-2.47935295641567
48	15	15.0905052063921	-0.0905052063921117
49	16	15.3929572177435	0.60704278225651
50	14	16.1326003647915	-2.13260036479145
51	16	16.6306810549274	-0.630681054927408
52	14	14.2769318653351	-0.27693186533508
53	12	14.7945038858262	-2.79450388582624
54	16	15.2178444480798	0.782155551920211
55	9	11.6614338671926	-2.66143386719262
56	14	12.7394773464981	1.26052265350191
57	16	16.1222557983765	-0.122255798376522
58	16	15.1444347077369	0.855565292263081
59	15	15.4143298476654	-0.414329847665403
60	16	14.2550499564612	1.74495004353878
61	12	11.5959828000228	0.404017199977248
62	16	16.065130416496	-0.065130416496012
63	16	16.5870071489013	-0.587007148901331
64	14	14.4455526718206	-0.445552671820646
65	16	15.4345363153821	0.565463684617947
66	17	16.0539505635708	0.946049436429221
67	18	16.0964504653459	1.90354953465413
68	18	14.7125298938205	3.28747010617947
69	12	15.8577474059578	-3.85774740595779
70	16	15.4417155551586	0.558284444841393
71	10	13.46605389867	-3.46605389866999
72	14	14.3440879074617	-0.344087907461717
73	18	16.6101401030141	1.38985989698593
74	18	17.1447556606353	0.855244339364704
75	16	15.7525040047185	0.247495995281517
76	17	13.9769597260743	3.02304027392566
77	16	16.3539465521984	-0.353946552198415
78	16	14.4957606756029	1.50423932439705
79	13	14.9252204065366	-1.92522040653659
80	16	15.8998078866482	0.100192113351822
81	16	15.5690069344	0.430993065599995
82	20	16.6265451460867	3.37345485391334
83	16	15.6135601578099	0.3864398421901
84	15	15.942309254944	-0.942309254944002
85	15	14.7214068822298	0.278593117770169
86	16	14.265723714487	1.73427628551301
87	14	14.2411424061278	-0.241142406127762
88	16	15.2982678960847	0.701732103915345
89	16	14.5356515873428	1.46434841265718
90	15	14.2982591692444	0.701740830755639
91	12	13.5136626167341	-1.51366261673408
92	17	16.8710838889034	0.128916111096643
93	16	15.5304467192012	0.469553280798842
94	15	15.3093218733226	-0.309321873322578
95	13	15.1136501048415	-2.11365010484149
96	16	15.1252644367449	0.874735563255112
97	16	15.749068481459	0.250931518540971
98	16	14.1122804742398	1.88771952576025
99	16	16.0454791617202	-0.0454791617202045
100	14	14.2939963578046	-0.293996357804609
101	16	17.2105859845917	-1.21058598459166
102	16	14.7589932645187	1.24100673548131
103	20	17.3246386154093	2.67536138459074
104	15	14.4684858657273	0.53151413427267
105	16	14.5904142059917	1.40958579400833
106	13	15.3227667957045	-2.32276679570448
107	17	15.9486233003349	1.05137669966505
108	16	15.8587784648397	0.141221535160284
109	16	14.4120523356351	1.58794766436487
110	12	12.1964544508171	-0.196454450817142
111	16	14.933313754473	1.06668624552697
112	16	15.7855049760575	0.214495023942469
113	17	14.5256197339726	2.47438026602743
114	13	14.8173484505667	-1.81734845056674
115	12	14.7647884148948	-2.76478841489482
116	18	16.4900759527493	1.50992404725069
117	14	15.3813291512151	-1.38132915121514
118	14	12.9586320606011	1.04136793939891
119	13	14.8386266605223	-1.8386266605223
120	16	15.6558892729365	0.344110727063514
121	13	14.2037502379512	-1.20375023795119
122	16	15.552522531727	0.447477468272963
123	13	15.8522562553337	-2.85225625533373
124	16	16.8580746880549	-0.858074688054904
125	15	15.7970057268425	-0.797005726842471
126	16	16.6590948395921	-0.659094839592083
127	15	15.2831603333916	-0.283160333391556
128	17	16.0683350606688	0.931664939331157
129	15	13.7139521483106	1.28604785168944
130	12	14.8217701009547	-2.82177010095473
131	16	14.0731838616798	1.92681613832023
132	10	13.3138499733924	-3.31384997339237
133	16	14.0056077097642	1.99439229023575
134	12	13.8296952843155	-1.82969528431552
135	14	15.5431308259074	-1.54313082590736
136	15	15.0032511586895	-0.00325115868948486
137	13	12.1080045732463	0.891995426753724
138	15	14.229272065769	0.770727934231033
139	11	13.012019927351	-2.01201992735102
140	12	13.1657858946669	-1.16578589466692
141	8	13.2512654852917	-5.25126548529171
142	16	12.8915544796767	3.10844552032326
143	15	13.2618471584858	1.73815284151421
144	17	16.422969299628	0.577030700371982
145	16	14.6409607770393	1.35903922296071
146	10	14.0109736875882	-4.01097368758818
147	18	15.70944305382	2.29055694617995
148	13	14.9904048426835	-1.99040484268353
149	16	15.0008260384943	0.999173961505709
150	13	12.9646236657264	0.0353763342736231
151	10	12.9625623101176	-2.9625623101176
152	15	16.2039382271053	-1.20393822710529
153	16	13.8990558638793	2.1009441361207
154	16	11.8746050067733	4.12539499322673
155	14	12.3285821071689	1.67141789283114
156	10	12.3589208158072	-2.35892081580717
157	17	16.569409359931	0.43059064006902
158	13	11.5005241990658	1.49947580093417
159	15	13.6034237336448	1.39657626635522
160	16	14.881957571362	1.118042428638
161	12	12.4755436067409	-0.475543606740932
162	13	12.4419846774223	0.558015322577722

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.734402552890512	0.531194894218975	0.265597447109488
14	0.587203131967536	0.825593736064928	0.412796868032464
15	0.468962714274823	0.937925428549646	0.531037285725177
16	0.401646220986108	0.803292441972215	0.598353779013892
17	0.304730281943546	0.609460563887092	0.695269718056454
18	0.386523742276172	0.773047484552345	0.613476257723828
19	0.327470190019805	0.65494038003961	0.672529809980195
20	0.246673899000475	0.49334779800095	0.753326100999525
21	0.189924099550326	0.379848199100652	0.810075900449674
22	0.191376061331574	0.382752122663147	0.808623938668426
23	0.380815282476945	0.76163056495389	0.619184717523055
24	0.438420298946322	0.876840597892645	0.561579701053678
25	0.39336053759147	0.78672107518294	0.60663946240853
26	0.330256788529312	0.660513577058623	0.669743211470688
27	0.281351618491079	0.562703236982158	0.718648381508921
28	0.435148498811127	0.870296997622254	0.564851501188873
29	0.377134788886522	0.754269577773043	0.622865211113478
30	0.494896533799569	0.989793067599139	0.50510346620043
31	0.441655508541189	0.883311017082377	0.558344491458811
32	0.407824738284966	0.815649476569932	0.592175261715034
33	0.394166835229184	0.788333670458368	0.605833164770816
34	0.362586743471496	0.725173486942991	0.637413256528504
35	0.316164216755793	0.632328433511585	0.683835783244207
36	0.860712856004882	0.278574287990235	0.139287143995118
37	0.832471811496434	0.335056377007132	0.167528188503566
38	0.81245661050299	0.37508677899402	0.18754338949701
39	0.845696541381888	0.308606917236225	0.154303458618112
40	0.83171133615826	0.336577327683481	0.16828866384174
41	0.800935909664968	0.398128180670064	0.199064090335032
42	0.77451287531985	0.4509742493603	0.22548712468015
43	0.799470103205335	0.401059793589329	0.200529896794665
44	0.758932867322188	0.482134265355623	0.241067132677812
45	0.731934943483479	0.536130113033042	0.268065056516521
46	0.871547712570932	0.256904574858135	0.128452287429068
47	0.895183312369252	0.209633375261496	0.104816687630748
48	0.873446158307317	0.253107683385367	0.126553841692683
49	0.872940785274671	0.254118429450659	0.127059214725329
50	0.865949741514697	0.268100516970606	0.134050258485303
51	0.839703293156268	0.320593413687465	0.160296706843732
52	0.810890414951836	0.378219170096327	0.189109585048164
53	0.821352665188451	0.357294669623098	0.178647334811549
54	0.792418961090212	0.415162077819575	0.207581038909788
55	0.809434370315495	0.38113125936901	0.190565629684505
56	0.789772187034011	0.420455625931979	0.210227812965989
57	0.752938287094218	0.494123425811565	0.247061712905782
58	0.738338727322079	0.523322545355842	0.261661272677921
59	0.708004112446152	0.583991775107697	0.291995887553848
60	0.713406982092232	0.573186035815536	0.286593017907768
61	0.678879922317111	0.642240155365778	0.321120077682889
62	0.642732732186059	0.714534535627883	0.357267267813941
63	0.609843101224887	0.780313797550225	0.390156898775113
64	0.56583198395661	0.86833603208678	0.43416801604339
65	0.526470614624903	0.947058770750195	0.473529385375097
66	0.495712136180528	0.991424272361057	0.504287863819472
67	0.497257410616663	0.994514821233326	0.502742589383337
68	0.644478805895686	0.711042388208627	0.355521194104314
69	0.748650595055842	0.502698809888316	0.251349404944158
70	0.716312490893951	0.567375018212097	0.283687509106049
71	0.817405533326637	0.365188933346726	0.182594466673363
72	0.787021122118443	0.425957755763114	0.212978877881557
73	0.780570415673016	0.438859168653968	0.219429584326984
74	0.763446202448125	0.47310759510375	0.236553797551875
75	0.725784493174581	0.548431013650838	0.274215506825419
76	0.763105024626326	0.473789950747348	0.236894975373674
77	0.726131187014643	0.547737625970714	0.273868812985357
78	0.704608458835681	0.590783082328638	0.295391541164319
79	0.715802119439925	0.56839576112015	0.284197880560075
80	0.674984683099351	0.650030633801299	0.325015316900649
81	0.638475976939506	0.723048046120987	0.361524023060494
82	0.762677128524419	0.474645742951162	0.237322871475581
83	0.727506810370923	0.544986379258155	0.272493189629077
84	0.697201227297986	0.605597545404028	0.302798772702014
85	0.655891726942098	0.688216546115804	0.344108273057902
86	0.643171433736373	0.713657132527253	0.356828566263627
87	0.598896813976906	0.802206372046188	0.401103186023094
88	0.55652073081707	0.88695853836586	0.44347926918293
89	0.533066172795114	0.933867654409771	0.466933827204886
90	0.493780056656672	0.987560113313343	0.506219943343328
91	0.482764236512771	0.965528473025542	0.517235763487229
92	0.439430667785072	0.878861335570143	0.560569332214928
93	0.395392000383294	0.790784000766589	0.604607999616706
94	0.351862158164287	0.703724316328575	0.648137841835713
95	0.373471859635077	0.746943719270155	0.626528140364923
96	0.336509490301708	0.673018980603417	0.663490509698292
97	0.295543349359081	0.591086698718163	0.704456650640918
98	0.288909169394166	0.577818338788333	0.711090830605834
99	0.248670428481224	0.497340856962447	0.751329571518776
100	0.215821847531644	0.431643695063287	0.784178152468356
101	0.193822968279952	0.387645936559905	0.806177031720048
102	0.175511111590445	0.35102222318089	0.824488888409555
103	0.214058179747168	0.428116359494336	0.785941820252832
104	0.180605124347905	0.361210248695811	0.819394875652095
105	0.171931212370065	0.34386242474013	0.828068787629935
106	0.18302596974453	0.366051939489061	0.81697403025547
107	0.162741243471047	0.325482486942094	0.837258756528953
108	0.143538684597205	0.28707736919441	0.856461315402795
109	0.138951444643129	0.277902889286257	0.861048555356871
110	0.136026976520059	0.272053953040119	0.863973023479941
111	0.123771438254228	0.247542876508456	0.876228561745772
112	0.106391042766418	0.212782085532836	0.893608957233582
113	0.148118553302524	0.296237106605048	0.851881446697476
114	0.138398801093229	0.276797602186458	0.861601198906771
115	0.155776969052337	0.311553938104674	0.844223030947663
116	0.16490147318656	0.329802946373121	0.83509852681344
117	0.140811795757518	0.281623591515036	0.859188204242482
118	0.138010620800838	0.276021241601677	0.861989379199162
119	0.128009274342751	0.256018548685503	0.871990725657249
120	0.135943761683445	0.27188752336689	0.864056238316555
121	0.110605000056549	0.221210000113098	0.889394999943451
122	0.0942046181651446	0.188409236330289	0.905795381834855
123	0.0900153597801022	0.180030719560204	0.909984640219898
124	0.0696322791255907	0.139264558251181	0.930367720874409
125	0.052866153707982	0.105732307415964	0.947133846292018
126	0.0396455364288516	0.0792910728577031	0.960354463571148
127	0.0287040065424359	0.0574080130848717	0.971295993457564
128	0.0268907068763424	0.0537814137526847	0.973109293123658
129	0.0297187615690373	0.0594375231380746	0.970281238430963
130	0.0293203059275902	0.0586406118551804	0.97067969407241
131	0.0316028206171329	0.0632056412342659	0.968397179382867
132	0.0339792207491872	0.0679584414983744	0.966020779250813
133	0.0678848897293129	0.135769779458626	0.932115110270687
134	0.0700058297716149	0.14001165954323	0.929994170228385
135	0.0524733988365772	0.104946797673154	0.947526601163423
136	0.0431278236825774	0.0862556473651548	0.956872176317423
137	0.030123784191788	0.060247568383576	0.969876215808212
138	0.0354315150959728	0.0708630301919456	0.964568484904027
139	0.0291196549602676	0.0582393099205352	0.970880345039732
140	0.0188728233751537	0.0377456467503074	0.981127176624846
141	0.499010669795367	0.998021339590734	0.500989330204633
142	0.434555903725899	0.869111807451799	0.565444096274101
143	0.363635823654857	0.727271647309713	0.636364176345143
144	0.276763941116425	0.553527882232849	0.723236058883575
145	0.19856014456778	0.397120289135561	0.80143985543222
146	0.215449371822531	0.430898743645062	0.784550628177469
147	0.222384740194912	0.444769480389824	0.777615259805088
148	0.470247278701562	0.940494557403124	0.529752721298438
149	0.614514134059063	0.770971731881875	0.385485865940937

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	1	0.0072992700729927	OK
10% type I error level	12	0.0875912408759124	OK