Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.1636311409974 + 0.177622733549857Gender[t] + 0.12894362809555Age[t] + 0.108902481776929Connected[t] -0.0280074231478608Separate[t] + 0.540118561738606Software[t] + 0.0479852927404347Happiness[t] -0.0786879628506645Depression[t] + 0.0430463323875267Belonging[t] -0.0635221298807863Belonging_Final[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)	5.1636311409974	2.686281	1.9222	0.056448	0.028224
Gender	0.177622733549857	0.335584	0.5293	0.597373	0.298687
Age	0.12894362809555	0.128813	1.001	0.318411	0.159206
Connected	0.108902481776929	0.047446	2.2953	0.023084	0.011542
Separate	-0.0280074231478608	0.045993	-0.609	0.543463	0.271732
Software	0.540118561738606	0.070512	7.66	0	0
Happiness	0.0479852927404347	0.078437	0.6118	0.541605	0.270803
Depression	-0.0786879628506645	0.057546	-1.3674	0.173518	0.086759
Belonging	0.0430463323875267	0.045297	0.9503	0.343465	0.171733
Belonging_Final	-0.0635221298807863	0.065725	-0.9665	0.335336	0.167668

Multiple Linear Regression - Regression Statistics
Multiple R	0.60200415639115
R-squared	0.362409004312221
Adjusted R-squared	0.324656905883339
F-TEST (value)	9.59970490103843
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	1.58167923203223e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.8541786532175
Sum Squared Residuals	522.572728663214

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.2799104233765	-3.2799104233765
2	16	15.9163818156459	0.0836181843540758
3	19	16.1515230406059	2.84847695939409
4	15	11.5896802601913	3.41031973980867
5	14	15.703197410327	-1.70319741032699
6	13	14.984649121911	-1.984649121911
7	19	14.895779887756	4.10422011224403
8	15	16.6859641219559	-1.68596412195588
9	14	15.8450795378739	-1.84507953787392
10	15	12.2232892681416	2.77671073185844
11	16	15.1031116929831	0.896888307016941
12	16	16.1237429685037	-0.12374296850375
13	16	15.1411375528521	0.858862447147903
14	16	15.3111621322747	0.688837867725253
15	17	17.5359813478672	-0.53598134786719
16	15	14.9370260581912	0.0629739418088249
17	15	14.609438394726	0.390561605274034
18	20	16.1560379672082	3.84396203279175
19	18	15.5324942056668	2.46750579433324
20	16	15.4032120589285	0.596787941071549
21	16	15.0374807889697	0.962519211030309
22	16	14.7111479347719	1.28885206522805
23	19	16.581748224068	2.41825177593203
24	16	14.8343563479587	1.16564365204125
25	17	14.5470145359976	2.45298546400237
26	17	16.8067990908168	0.193200909183153
27	16	15.414372075751	0.585627924249003
28	15	16.0784033587696	-1.07840335876957
29	16	15.4318204169863	0.568179583013698
30	14	13.7596223072431	0.240377692756919
31	15	15.6274818214174	-0.627481821417413
32	12	12.0228110019056	-0.0228110019055691
33	14	15.2085940649405	-1.20859406494049
34	16	15.3513359201219	0.648664079878135
35	14	15.4962061648594	-1.49620616485944
36	7	12.727013265979	-5.72701326597901
37	10	10.7363337518796	-0.736333751879608
38	14	15.5640009875174	-1.56400098751745
39	16	14.2330958549248	1.76690414507522
40	16	14.4136961875895	1.5863038124105
41	16	14.858832394918	1.14116760508197
42	14	15.780978580413	-1.78097858041297
43	20	17.696339851798	2.30366014820201
44	14	14.1468584496427	-0.146858449642652
45	14	15.1892774828094	-1.18927748280945
46	11	15.843196871407	-4.84319687140699
47	14	16.3092886016994	-2.30928860169944
48	15	14.9070971936085	0.0929028063915374
49	16	14.9850922394661	1.01490776053391
50	14	15.8376718213775	-1.8376718213775
51	16	16.3021555945504	-0.30215559455045
52	14	13.9451960480266	0.0548039519734103
53	12	14.5010842325285	-2.50108423252851
54	16	15.3024722746511	0.697527725348883
55	9	11.410584886082	-2.410584886082
56	14	12.5989653979749	1.40103460202505
57	16	16.1406594386366	-0.140659438636559
58	16	14.9497559862681	1.05024401373194
59	15	15.2772189784628	-0.277218978462816
60	16	14.2303542216	1.76964577839997
61	12	11.308539097627	0.691460902373042
62	16	16.0469489331973	-0.0469489331972629
63	16	16.6162772263923	-0.616277226392336
64	14	14.7268328131996	-0.726832813199647
65	16	15.6624665453695	0.337533454630486
66	17	15.7282330862392	1.27176691376081
67	18	16.1576991090724	1.84230089092756
68	18	14.7366367484153	3.2633632515847
69	12	15.7668312318161	-3.76683123181612
70	16	15.1631223525535	0.836877647446521
71	10	13.1749287196513	-3.17492871965131
72	14	14.2323106871131	-0.2323106871131
73	18	16.3412324256286	1.65876757437139
74	18	17.0287769680298	0.971223031970184
75	16	15.7408489801884	0.259151019811558
76	17	13.9724539727485	3.02754602725153
77	16	16.3817949903296	-0.381794990329625
78	16	14.6585771038716	1.34142289612837
79	13	14.6742974915491	-1.67429749154909
80	16	16.1423622156637	-0.142362215663675
81	16	15.5147071331471	0.485292866852853
82	20	16.7047795289821	3.29522047101795
83	16	15.6297111754894	0.370288824510647
84	15	15.6780377987143	-0.678037798714314
85	15	15.1042428958665	-0.104242895866512
86	16	14.6550411020526	1.34495889794741
87	14	13.9598588339062	0.0401411660938081
88	16	15.316353024954	0.683646975046045
89	16	14.7076565740593	1.29234342594074
90	15	14.0721643448233	0.927835655176681
91	12	13.4055422552862	-1.40554225528616
92	17	16.961386003618	0.0386139963819691
93	16	15.3976854959396	0.602314504060374
94	15	15.3179007352653	-0.317900735265326
95	13	15.387006058353	-2.38700605835299
96	16	15.2930171291285	0.706982870871459
97	16	15.7898295238881	0.210170476111897
98	16	14.3387846356464	1.66121536435361
99	16	15.9324072689494	0.0675927310506155
100	14	14.4040601216766	-0.40406012167664
101	16	17.2971774520131	-1.29717745201305
102	16	14.7060543647451	1.29394563525488
103	20	17.457828119026	2.54217188097404
104	15	14.5922905023381	0.407709497661942
105	16	14.3533398351896	1.64666016481039
106	13	15.1867961039748	-2.18679610397476
107	17	15.991230236331	1.00876976366897
108	16	15.8836042623034	0.116395737696629
109	16	14.5242545035444	1.47574549645559
110	12	12.6325033497161	-0.632503349716139
111	16	15.1241459866302	0.875854013369834
112	16	16.0439038715235	-0.0439038715234836
113	17	14.4940753164264	2.50592468357359
114	13	15.045346132871	-2.04534613287103
115	12	14.847380676855	-2.84738067685495
116	18	16.8436952439143	1.15630475608571
117	14	15.7149425614093	-1.71494256140934
118	14	12.9340508306646	1.06594916933542
119	13	15.2421781848106	-2.24217818481058
120	16	15.7759156187743	0.224084381225726
121	13	14.4151255309486	-1.41512553094863
122	16	16.2403529790441	-0.240352979044141
123	13	16.2040499190626	-3.20404991906259
124	16	17.1955648324948	-1.19556483249484
125	15	16.048786051635	-1.04878605163499
126	16	16.8904665143453	-0.890466514345341
127	15	15.4337595542915	-0.433759554291531
128	17	16.3525874812165	0.647412518783491
129	15	14.034296736148	0.965703263851976
130	12	14.9934389172078	-2.99343891720785
131	16	14.0943934441831	1.9056065558169
132	10	13.2385892631681	-3.23858926316807
133	16	14.2587608671088	1.74123913289117
134	12	13.6950632378997	-1.69506323789972
135	14	15.4714389610753	-1.47143896107529
136	15	15.4048284672362	-0.404828467236168
137	13	12.2264319886135	0.773568011386473
138	15	14.5217401244592	0.478259875540829
139	11	13.4795404829178	-2.47954048291784
140	12	13.541113223064	-1.54111322306398
141	8	13.2880990566269	-5.28809905662691
142	16	13.5651725820652	2.43482741793481
143	15	13.2042576375229	1.79574236247714
144	17	16.6150380635904	0.38496193640957
145	16	14.8271558530556	1.1728441469444
146	10	14.340959555609	-4.34095955560901
147	18	15.8943617016447	2.10563829835527
148	13	15.0534505774026	-2.0534505774026
149	16	15.1007569312426	0.899243068757439
150	13	13.1774362785991	-0.177436278599097
151	10	13.2351476124945	-3.23514761249446
152	15	16.68188647691	-1.68188647691002
153	16	14.6416148045402	1.35838519545978
154	16	12.1884772823526	3.81152271764744
155	14	12.9062502923024	1.09374970769757
156	10	12.4065621720638	-2.4065621720638
157	17	16.961386003618	0.0386139963819691
158	13	11.7907624758152	1.20923752418476
159	15	14.034296736148	0.965703263851976
160	16	15.4611134601765	0.538886539823518
161	12	12.717332085352	-0.717332085352044
162	13	12.72088437791	0.27911562208995

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.489687660334527	0.979375320669053	0.510312339665473
14	0.395641251466022	0.791282502932044	0.604358748533978
15	0.307500697616825	0.61500139523365	0.692499302383175
16	0.286953411197976	0.573906822395951	0.713046588802024
17	0.27694020636703	0.553880412734059	0.72305979363297
18	0.518140576312873	0.963718847374255	0.481859423687127
19	0.440091483607863	0.880182967215727	0.559908516392137
20	0.365972353320679	0.731944706641359	0.634027646679321
21	0.325900759780965	0.65180151956193	0.674099240219035
22	0.27028414626237	0.54056829252474	0.72971585373763
23	0.515724673129255	0.96855065374149	0.484275326870745
24	0.508991312916734	0.982017374166531	0.491008687083266
25	0.473371132671122	0.946742265342244	0.526628867328878
26	0.441244076733812	0.882488153467625	0.558755923266188
27	0.524537761567486	0.950924476865027	0.475462238432514
28	0.530122841897409	0.939754316205182	0.469877158102591
29	0.515261356212028	0.969477287575945	0.484738643787972
30	0.569487470075056	0.861025059849887	0.430512529924944
31	0.504670216334288	0.990659567331424	0.495329783665712
32	0.459005428039316	0.918010856078632	0.540994571960684
33	0.421090509147101	0.842181018294201	0.578909490852899
34	0.379892878698215	0.75978575739643	0.620107121301785
35	0.336598141702071	0.673196283404143	0.663401858297929
36	0.883673064501027	0.232653870997945	0.116326935498973
37	0.860697410931376	0.278605178137248	0.139302589068624
38	0.854980960567587	0.290038078864826	0.145019039432413
39	0.869887385653977	0.260225228692046	0.130112614346023
40	0.85767865070158	0.28464269859684	0.14232134929842
41	0.832881203678537	0.334237592642926	0.167118796321463
42	0.816216024843538	0.367567950312925	0.183783975156462
43	0.838831115647686	0.322337768704629	0.161168884352314
44	0.803795606624041	0.392408786751918	0.196204393375959
45	0.77238906538626	0.455221869227481	0.22761093461374
46	0.904497670942888	0.191004658114225	0.0955023290571124
47	0.940113144662029	0.119773710675942	0.0598868553379708
48	0.92299393942814	0.154012121143719	0.0770060605718595
49	0.908163656817871	0.183672686364258	0.0918363431821288
50	0.910613740854799	0.178772518290402	0.0893862591452011
51	0.888646811091121	0.222706377817758	0.111353188908879
52	0.862623599809971	0.274752800380059	0.137376400190029
53	0.8788713209304	0.2422573581392	0.1211286790696
54	0.864416818833895	0.271166362332211	0.135583181166105
55	0.868197590152667	0.263604819694666	0.131802409847333
56	0.8497489116882	0.300502176623599	0.1502510883118
57	0.819789786569357	0.360420426861285	0.180210213430643
58	0.801697333413695	0.396605333172611	0.198302666586305
59	0.76697571578429	0.466048568431419	0.23302428421571
60	0.766309914014655	0.467380171970691	0.233690085985345
61	0.734065138705169	0.531869722589662	0.265934861294831
62	0.695828628575968	0.608342742848063	0.304171371424032
63	0.66317094064396	0.67365811871208	0.33682905935604
64	0.624179819872446	0.751640360255107	0.375820180127554
65	0.585305720013677	0.829388559972647	0.414694279986323
66	0.557716184616073	0.884567630767855	0.442283815383927
67	0.550650833569525	0.898698332860949	0.449349166430475
68	0.697801267391053	0.604397465217893	0.302198732608947
69	0.795486607326082	0.409026785347835	0.204513392673918
70	0.768495156539443	0.463009686921113	0.231504843460557
71	0.847210642036418	0.305578715927163	0.152789357963582
72	0.817220113214132	0.365559773571735	0.182779886785868
73	0.812578563900438	0.374842872199124	0.187421436099562
74	0.795565795992893	0.408868408014213	0.204434204007107
75	0.760490768203194	0.479018463593611	0.239509231796806
76	0.802661943216833	0.394676113566334	0.197338056783167
77	0.769360718366562	0.461278563266876	0.230639281633438
78	0.749418018720014	0.501163962559971	0.250581981279986
79	0.750068809338178	0.499862381323644	0.249931190661822
80	0.710696728449211	0.578606543101577	0.289303271550789
81	0.67309657886715	0.6538068422657	0.32690342113285
82	0.791552237074708	0.416895525850583	0.208447762925292
83	0.758102586418674	0.483794827162651	0.241897413581326
84	0.728278895628624	0.543442208742751	0.271721104371376
85	0.688684479930986	0.622631040138029	0.311315520069014
86	0.668097843348766	0.663804313302467	0.331902156651234
87	0.62498640353075	0.750027192938501	0.37501359646925
88	0.586797947430864	0.826404105138272	0.413202052569136
89	0.564936511173178	0.870126977653644	0.435063488826822
90	0.538966810188524	0.922066379622951	0.461033189811476
91	0.514814216584955	0.970371566830091	0.485185783415045
92	0.478805386864266	0.957610773728533	0.521194613135734
93	0.438559150254246	0.877118300508491	0.561440849745754
94	0.395369063586893	0.790738127173787	0.604630936413107
95	0.422566924906499	0.845133849812998	0.577433075093501
96	0.385822822714002	0.771645645428003	0.614177177285998
97	0.349493742704377	0.698987485408754	0.650506257295623
98	0.345224099044136	0.690448198088272	0.654775900955864
99	0.303234307762038	0.606468615524076	0.696765692237962
100	0.267700526753529	0.535401053507059	0.732299473246471
101	0.239888739848401	0.479777479696803	0.760111260151599
102	0.225451917223485	0.450903834446969	0.774548082776515
103	0.2694665549079	0.5389331098158	0.7305334450921
104	0.231624600423625	0.463249200847249	0.768375399576375
105	0.247380688130218	0.494761376260436	0.752619311869782
106	0.250214659200779	0.500429318401558	0.749785340799221
107	0.239320458916048	0.478640917832096	0.760679541083952
108	0.213530061106341	0.427060122212681	0.786469938893659
109	0.214911712023916	0.429823424047833	0.785088287976084
110	0.191312784198263	0.382625568396526	0.808687215801737
111	0.16674515546939	0.33349031093878	0.83325484453061
112	0.138393411221687	0.276786822443374	0.861606588778313
113	0.174551339283335	0.349102678566669	0.825448660716665
114	0.160877966640373	0.321755933280745	0.839122033359627
115	0.185486993995832	0.370973987991664	0.814513006004168
116	0.165403881262917	0.330807762525834	0.834596118737083
117	0.14780486011506	0.295609720230121	0.852195139884939
118	0.137480787015626	0.274961574031251	0.862519212984374
119	0.155710459021312	0.311420918042625	0.844289540978688
120	0.144995969244865	0.28999193848973	0.855004030755135
121	0.125105307708347	0.250210615416694	0.874894692291653
122	0.107191010381682	0.214382020763363	0.892808989618318
123	0.133217887707588	0.266435775415176	0.866782112292412
124	0.109565164579003	0.219130329158007	0.890434835420997
125	0.0904831090654312	0.180966218130862	0.909516890934569
126	0.0726138182710339	0.145227636542068	0.927386181728966
127	0.0544407694595391	0.108881538919078	0.945559230540461
128	0.0479078915860416	0.0958157831720831	0.952092108413958
129	0.0366898128986321	0.0733796257972641	0.963310187101368
130	0.0467296496584419	0.0934592993168838	0.953270350341558
131	0.0472069477331912	0.0944138954663824	0.952793052266809
132	0.0628710815401089	0.125742163080218	0.937128918459891
133	0.0775634549413134	0.155126909882627	0.922436545058687
134	0.0743982789648479	0.148796557929696	0.925601721035152
135	0.0562424754696273	0.112484950939255	0.943757524530373
136	0.046107317186419	0.0922146343728379	0.953892682813581
137	0.031498595216896	0.062997190433792	0.968501404783104
138	0.0222744412113756	0.0445488824227512	0.977725558788624
139	0.0839265544901809	0.167853108980362	0.916073445509819
140	0.0708879179889612	0.141775835977922	0.929112082011039
141	0.607857974524591	0.784284050950818	0.392142025475409
142	0.581045141431831	0.837909717136338	0.418954858568169
143	0.58508256961558	0.829834860768841	0.41491743038442
144	0.495176996245562	0.990353992491123	0.504823003754438
145	0.426226523425997	0.852453046851993	0.573773476574003
146	0.420487663749577	0.840975327499154	0.579512336250423
147	0.449018160472335	0.898036320944671	0.550981839527665
148	0.651134906395874	0.697730187208253	0.348865093604126
149	0.482903185937562	0.965806371875124	0.517096814062438

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	7	0.0510948905109489	OK