Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.38994150998993 + 0.108112979773634Gender[t] + 0.123741363584274Age[t] + 0.110167055205388Connected[t] -0.0294036180161816Separate[t] + 0.545974579340655Software[t] + 0.0553358684756296Happiness[t] -0.082873772739656Depression[t] + 0.00162165885175675Belonging[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)	5.38994150998993	2.675479	2.0146	0.045702	0.022851
Gender	0.108112979773634	0.327716	0.3299	0.741928	0.370964
Age	0.123741363584274	0.128673	0.9617	0.337731	0.168865
Connected	0.110167055205388	0.047418	2.3233	0.021478	0.010739
Separate	-0.0294036180161816	0.04596	-0.6398	0.523282	0.261641
Software	0.545974579340655	0.070236	7.7734	0	0
Happiness	0.0553358684756296	0.078051	0.709	0.479419	0.23971
Depression	-0.082873772739656	0.05737	-1.4445	0.15063	0.075315
Belonging	0.00162165885175675	0.014652	0.1107	0.912016	0.456008

Multiple Linear Regression - Regression Statistics
Multiple R	0.598740994700229
R-squared	0.35849077873462
Adjusted R-squared	0.324947812916822
F-TEST (value)	10.6875098845436
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	7.09965419787295e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85377926236319
Sum Squared Residuals	525.784125695877

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.289728550447	-3.28972855044704
2	16	15.8100908303743	0.189909169625724
3	19	16.2458692222564	2.75413077774365
4	15	11.6156643924613	3.38433560753873
5	14	15.6197846608352	-1.61978466083517
6	13	14.9395532042912	-1.93955320429118
7	19	15.1989993115844	3.80100068841559
8	15	16.6722327568758	-1.67223275687579
9	14	15.8347596511419	-1.83475965114191
10	15	12.2117490121551	2.78825098784491
11	16	15.2151674899568	0.784832510043216
12	16	16.2188211115048	-0.218821111504787
13	16	15.2445809637403	0.755419036259674
14	16	15.346224347435	0.653775652564983
15	17	17.5179468851836	-0.517946885183623
16	15	15.055749549101	-0.0557495491010007
17	15	14.5851817933216	0.414818206678439
18	20	16.1411254592246	3.85887454077539
19	18	15.7226340373549	2.27736596264514
20	16	15.5089313613142	0.491068638685751
21	16	15.2004667600702	0.799533239929763
22	16	14.838970329208	1.16102967079198
23	19	16.6169906782287	2.38300932177135
24	16	15.0021278263933	0.997872173606671
25	17	14.5546928234437	2.4453071765563
26	17	16.6566275119702	0.343372488029807
27	16	15.2291097440478	0.770890255952179
28	15	16.1833287453263	-1.18332874532627
29	16	15.2380572660065	0.761942733993486
30	14	13.9918542342248	0.00814576577522982
31	15	15.6376892955541	-0.637689295554069
32	12	12.081981933521	-0.0819819335210383
33	14	15.200140143711	-1.20014014371098
34	16	15.4889611204767	0.511038879523317
35	14	15.3493734643438	-1.34937346434381
36	7	12.8311312272755	-5.83113122727548
37	10	10.6186530953317	-0.618653095331697
38	14	15.6148413853661	-1.61484138536606
39	16	14.2031706327424	1.79682936725761
40	16	14.4645576623039	1.5354423376961
41	16	14.9159491946806	1.08405080531945
42	14	15.6461779403008	-1.64617794030081
43	20	17.8617656107694	2.13823438923063
44	14	14.1738998659741	-0.173899865974054
45	14	15.1594629837279	-1.15946298372786
46	11	15.7127146882838	-4.71271468828382
47	14	16.5517327119025	-2.55173271190246
48	15	14.9064354103134	0.0935645896866252
49	16	14.7731357274214	1.22686427257858
50	14	15.8432677849884	-1.84326778498844
51	16	16.326180922141	-0.326180922140968
52	14	13.9428648105498	0.0571351894502274
53	12	14.44261378339	-2.44261378339
54	16	15.8027093905852	0.197290609414802
55	9	11.2856476236748	-2.28564762367482
56	14	12.5947858565761	1.40521414342389
57	16	16.1251203486152	-0.12512034861519
58	16	15.0407746799135	0.959225320086536
59	15	15.2175476285225	-0.217547628522455
60	16	14.1989253143235	1.80107468567653
61	12	11.2914531269331	0.708546873066912
62	16	15.9523128210885	0.0476871789115212
63	16	16.4478900201702	-0.447890020170158
64	14	14.6866664323542	-0.686666432354236
65	16	15.6984682447103	0.301531755289695
66	17	15.7538237974639	1.24617620253608
67	18	16.2360170195133	1.76398298048667
68	18	14.5452632587511	3.45473674124894
69	12	15.7517831610889	-3.75178316108887
70	16	15.2180689949131	0.781931005086882
71	10	13.4183700477434	-3.41837004774335
72	14	14.258272769468	-0.258272769467987
73	18	16.2277491575068	1.77225084249323
74	18	16.9781413016888	1.02185869831124
75	16	15.6879539474979	0.312046052502121
76	17	13.895954925428	3.10404507457196
77	16	16.4113991965651	-0.411399196565127
78	16	14.7346517202361	1.26534827976388
79	13	14.7191683601262	-1.7191683601262
80	16	16.2592942566249	-0.259294256624925
81	16	15.4157177728393	0.584282227160667
82	20	15.7325857515234	4.26741424847655
83	16	15.7437941560885	0.256205843911455
84	15	15.6598462631663	-0.659846263166314
85	15	15.0797536965659	-0.0797536965658817
86	16	14.6020556795227	1.39794432047734
87	14	13.9444429123251	0.0555570876748513
88	16	15.3044703953282	0.695529604671796
89	16	14.7180687046523	1.28193129534766
90	15	13.9956655018859	1.0043344981141
91	12	13.4770257789574	-1.47702577895736
92	17	17.0034204655277	-0.00342046552774608
93	16	15.3044145461757	0.695585453824265
94	15	15.1431852950738	-0.143185295073776
95	13	15.2334079345287	-2.23340793452866
96	16	15.1498414524914	0.850158547508631
97	16	15.8195427495643	0.180457250435656
98	16	14.1963016877553	1.8036983122447
99	16	15.9053669207637	0.0946330792362544
100	14	14.4153517187213	-0.415351718721295
101	16	17.2315543568726	-1.23155435687259
102	16	14.7497086101007	1.2502913898993
103	20	17.4450440870814	2.55495591291857
104	15	14.7523800434474	0.247619956552613
105	16	14.2277937283569	1.77220627164306
106	13	15.1679166276171	-2.16791662761715
107	17	16.0307991749922	0.969200825007827
108	16	15.9052425895058	0.0947574104941714
109	16	14.5809320725003	1.41906792749967
110	12	12.6828776605177	-0.682877660517651
111	16	15.0083804813655	0.99161951863453
112	16	15.9227097958121	0.0772902041878789
113	17	14.5008528571163	2.49914714288371
114	13	14.3944680199856	-1.39446801998555
115	12	14.8858845433333	-2.88588454333326
116	18	16.9170190254124	1.08298097458761
117	14	15.7314335654847	-1.73143356548465
118	14	12.973065311186	1.02693468881402
119	13	15.2251962433589	-2.22519624335888
120	16	15.705673316575	0.294326683425024
121	13	14.4104083875767	-1.4104083875767
122	16	16.1765057111914	-0.176505711191434
123	13	16.1264131266932	-3.1264131266932
124	16	17.2413972377472	-1.24139723774716
125	15	16.0833521053397	-1.08335210533972
126	16	16.7952181337372	-0.795218133737169
127	15	15.4795167199946	-0.479516719994626
128	17	16.2869201419152	0.713079858084837
129	15	14.2342351697813	0.765764830218692
130	12	14.9855606167057	-2.98556061670575
131	16	14.0544260416516	1.94557395834841
132	10	13.2138202953687	-3.21382029536867
133	16	14.161328658708	1.83867134129198
134	12	13.7834815283117	-1.78348152831168
135	14	15.5828553270458	-1.58285532704581
136	15	15.5548099139171	-0.554809913917056
137	13	12.2584978293604	0.74150217063961
138	15	14.8031515019818	0.196848498018185
139	11	13.5782716010212	-2.57827160102123
140	12	13.5947488989171	-1.59474889891713
141	8	13.25336008063	-5.25336008063002
142	16	13.5783876446916	2.42161235530839
143	15	13.1971815861647	1.80281841383526
144	17	16.6100575501977	0.38994244980231
145	16	14.8217976632708	1.17820233672918
146	10	14.3296723687622	-4.32967236876216
147	18	15.944385230906	2.05561476909398
148	13	15.204575037306	-2.20457503730601
149	16	15.1563332032967	0.843666796703336
150	13	13.2347486349956	-0.234748634995578
151	10	13.2387743267346	-3.2387743267346
152	15	16.547732200981	-1.54773220098101
153	16	14.5322294514684	1.46777054853163
154	16	12.1198735428024	3.88012645719757
155	14	12.8553345275734	1.14466547242656
156	10	12.5470579931821	-2.5470579931821
157	17	17.0034204655277	-0.00342046552774608
158	13	11.7882388281353	1.2117611718647
159	15	14.2342351697813	0.765764830218692
160	16	15.3925631669135	0.607436833086464
161	12	12.5211532777154	-0.521153277715445
162	13	12.9088423012886	0.0911576987113719

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.243060768895287	0.486121537790574	0.756939231104713
13	0.407690390661588	0.815380781323176	0.592309609338412
14	0.30927445736639	0.618548914732779	0.69072554263361
15	0.329220971235037	0.658441942470073	0.670779028764963
16	0.38410839513364	0.768216790267281	0.61589160486636
17	0.332777257659819	0.665554515319639	0.667222742340181
18	0.702232174333165	0.59553565133367	0.297767825666835
19	0.859558743069363	0.280882513861273	0.140441256930637
20	0.861242290926215	0.27751541814757	0.138757709073785
21	0.816639585645211	0.366720828709579	0.183360414354789
22	0.765788374369236	0.468423251261528	0.234211625630764
23	0.819719486985842	0.360561026028315	0.180280513014158
24	0.767716235042148	0.464567529915704	0.232283764957852
25	0.736317244678345	0.52736551064331	0.263682755321655
26	0.674495010637577	0.651009978724846	0.325504989362423
27	0.641879017211872	0.716241965576255	0.358120982788127
28	0.627176695914488	0.745646608171024	0.372823304085512
29	0.562159584511207	0.875680830977587	0.437840415488793
30	0.557870573353094	0.884258853293812	0.442129426646906
31	0.492488582865536	0.984977165731071	0.507511417134464
32	0.480507258015408	0.961014516030816	0.519492741984592
33	0.437465961893746	0.874931923787493	0.562534038106253
34	0.377336100723407	0.754672201446815	0.622663899276593
35	0.378730127596645	0.75746025519329	0.621269872403355
36	0.874677552216427	0.250644895567145	0.125322447783573
37	0.863080133822177	0.273839732355646	0.136919866177823
38	0.863803780733008	0.272392438533985	0.136196219266992
39	0.87528266340783	0.249434673184341	0.12471733659217
40	0.860905814696488	0.278188370607024	0.139094185303512
41	0.836287317569488	0.327425364861023	0.163712682430512
42	0.824496050361986	0.351007899276029	0.175503949638014
43	0.829270003126919	0.341459993746162	0.170729996873081
44	0.796305007081424	0.407389985837151	0.203694992918576
45	0.760567499268022	0.478865001463957	0.239432500731978
46	0.905660888274548	0.188678223450904	0.094339111725452
47	0.931132670244873	0.137734659510254	0.0688673297551271
48	0.912219774081252	0.175560451837496	0.0877802259187481
49	0.895944258013723	0.208111483972555	0.104055741986277
50	0.90118397772795	0.197632044544101	0.0988160222720504
51	0.879393256364383	0.241213487271235	0.120606743635617
52	0.852523269451926	0.294953461096148	0.147476730548074
53	0.879802620972871	0.240394758054257	0.120197379027129
54	0.854602006797273	0.290795986405455	0.145397993202727
55	0.863628981378126	0.272742037243749	0.136371018621874
56	0.848604033626075	0.30279193274785	0.151395966373925
57	0.818924080041079	0.362151839917842	0.181075919958921
58	0.796713298653627	0.406573402692746	0.203286701346373
59	0.760624345568198	0.478751308863604	0.239375654431802
60	0.757690340168231	0.484619319663538	0.242309659831769
61	0.723791524616336	0.552416950767329	0.276208475383664
62	0.6821921463925	0.635615707215	0.3178078536075
63	0.640422513625348	0.719154972749303	0.359577486374652
64	0.598904540861027	0.802190918277947	0.401095459138973
65	0.556336382482205	0.887327235035589	0.443663617517795
66	0.527125827271891	0.945748345456218	0.472874172728109
67	0.51424631550885	0.971507368982301	0.48575368449115
68	0.648480985961696	0.703038028076609	0.351519014038304
69	0.775493480583831	0.449013038832339	0.224506519416169
70	0.743708987277761	0.512582025444478	0.256291012722239
71	0.819643383821554	0.360713232356892	0.180356616178446
72	0.787118958434855	0.42576208313029	0.212881041565145
73	0.779916223067815	0.440167553864369	0.220083776932185
74	0.755303718658329	0.489392562683342	0.244696281341671
75	0.717871673942912	0.564256652114177	0.282128326057088
76	0.775853773404479	0.448292453191041	0.224146226595521
77	0.741025281473975	0.51794943705205	0.258974718526025
78	0.719045972401252	0.561908055197496	0.280954027598748
79	0.717176083399394	0.565647833201212	0.282823916600606
80	0.676778820226767	0.646442359546467	0.323221179773233
81	0.637262137608387	0.725475724783227	0.362737862391613
82	0.810131173777259	0.379737652445483	0.189868826222741
83	0.777891064363258	0.444217871273485	0.222108935636742
84	0.749655774827139	0.500688450345722	0.250344225172861
85	0.712040112788882	0.575919774422236	0.287959887211118
86	0.694201250879482	0.611597498241036	0.305798749120518
87	0.652768888079868	0.694462223840264	0.347231111920132
88	0.616008275278655	0.76798344944269	0.383991724721345
89	0.594821682985401	0.810356634029199	0.405178317014599
90	0.569741622540972	0.860516754918056	0.430258377459028
91	0.548110364279715	0.90377927144057	0.451889635720285
92	0.512505685472679	0.974988629054642	0.487494314527321
93	0.473725796945273	0.947451593890546	0.526274203054727
94	0.428369349821	0.856738699641999	0.571630650179
95	0.449310984648527	0.898621969297054	0.550689015351473
96	0.415092055402432	0.830184110804865	0.584907944597568
97	0.378016266416566	0.756032532833133	0.621983733583434
98	0.37886759928441	0.757735198568821	0.62113240071559
99	0.335675676562513	0.671351353125026	0.664324323437487
100	0.298747841000575	0.597495682001149	0.701252158999425
101	0.268337050139936	0.536674100279872	0.731662949860064
102	0.252769756170376	0.505539512340751	0.747230243829625
103	0.300152047232855	0.60030409446571	0.699847952767145
104	0.259540820371305	0.51908164074261	0.740459179628695
105	0.278911611375545	0.55782322275109	0.721088388624455
106	0.280968445041871	0.561936890083741	0.719031554958129
107	0.269540662975546	0.539081325951091	0.730459337024454
108	0.242458281060823	0.484916562121645	0.757541718939177
109	0.243961970677661	0.487923941355321	0.756038029322339
110	0.218689122631541	0.437378245263082	0.781310877368459
111	0.193462244813843	0.386924489627686	0.806537755186157
112	0.162202765344689	0.324405530689377	0.837797234655311
113	0.202142040082767	0.404284080165535	0.797857959917233
114	0.176580861583756	0.353161723167512	0.823419138416244
115	0.201836865533466	0.403673731066933	0.798163134466534
116	0.178715743709807	0.357431487419614	0.821284256290193
117	0.159097924128078	0.318195848256155	0.840902075871922
118	0.148237042283506	0.296474084567011	0.851762957716494
119	0.167229337174143	0.334458674348286	0.832770662825857
120	0.158029734442057	0.316059468884113	0.841970265557943
121	0.135883794741793	0.271767589483587	0.864116205258207
122	0.115392728991071	0.230785457982141	0.884607271008929
123	0.138711670963213	0.277423341926426	0.861288329036787
124	0.116103849293839	0.232207698587677	0.883896150706161
125	0.0967544950310131	0.193508990062026	0.903245504968987
126	0.0767814359932434	0.153562871986487	0.923218564006757
127	0.0583672652683916	0.116734530536783	0.941632734731608
128	0.0551617475930243	0.110323495186049	0.944838252406976
129	0.0416818212708886	0.0833636425417773	0.958318178729111
130	0.0503316281727312	0.100663256345462	0.949668371827269
131	0.0535207092365001	0.107041418473	0.9464792907635
132	0.0678459624492723	0.135691924898545	0.932154037550728
133	0.09207921723858	0.18415843447716	0.90792078276142
134	0.0871182357150878	0.174236471430176	0.912881764284912
135	0.0672265047773385	0.134453009554677	0.932773495222662
136	0.0599581116793578	0.119916223358716	0.940041888320642
137	0.0421450094331472	0.0842900188662943	0.957854990566853
138	0.0291235440609032	0.0582470881218064	0.970876455939097
139	0.112101386017173	0.224202772034346	0.887898613982827
140	0.09693101151916	0.19386202303832	0.90306898848084
141	0.597192294813981	0.805615410372038	0.402807705186019
142	0.557389122622689	0.885221754754623	0.442610877377311
143	0.611428630939498	0.777142738121005	0.388571369060502
144	0.535093955964882	0.929812088070236	0.464906044035118
145	0.508846622079166	0.982306755841669	0.491153377920834
146	0.485808952850618	0.971617905701236	0.514191047149382
147	0.573085910240431	0.853828179519139	0.426914089759569
148	0.717161554460577	0.565676891078846	0.282838445539423
149	0.578680022293283	0.842639955413435	0.421319977706717
150	0.501951286150107	0.996097427699787	0.498048713849893

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	3	0.0215827338129496	OK