Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 11.6793082170166 + 0.125931034495547Connected[t] -0.00830024796043488Seperate[t] + 0.0591546588127821Happiness[t] -0.126646215144289Depression[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)	11.6793082170166	2.679511	4.3587	2.4e-05	1.2e-05
Connected	0.125931034495547	0.055018	2.2889	0.023417	0.011709
Seperate	-0.00830024796043488	0.052293	-0.1587	0.874089	0.437045
Happiness	0.0591546588127821	0.088391	0.6692	0.504324	0.252162
Depression	-0.126646215144289	0.064714	-1.957	0.05212	0.02606

Multiple Linear Regression - Regression Statistics
Multiple R	0.302949330488019
R-squared	0.0917782968431387
Adjusted R-squared	0.0686388903932824
F-TEST (value)	3.96632027022925
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	0.00428666417746926
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.17745102097476
Sum Squared Residuals	744.382992952811

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	15.835481850485	-2.83548185048501
2	16	15.9966861196519	0.0033138803480847
3	19	14.0443848081883	4.95561519181165
4	15	14.4993634277061	0.500636572293877
5	14	13.9407582383035	0.0592417616964509
6	13	15.3912165104067	-2.39121651040674
7	19	14.375259365774	4.62474063422596
8	15	15.0972113200813	-0.0972113200813124
9	14	15.5431745109899	-1.54317451098991
10	15	15.2642661561713	-0.264266156171287
11	16	15.9465468894483	0.0534531105516905
12	16	16.0413858244901	-0.0413858244900537
13	16	14.8660322101956	1.13396778980435
14	16	15.4486366688309	0.551363331169127
15	17	15.3262448880207	1.67375511197925
16	15	14.4903113495387	0.509688650461344
17	15	15.0023357354813	-0.00233573548127787
18	20	15.761798938581	4.23820106141902
19	18	15.8369122117825	2.16308778821753
20	16	14.7435671302689	1.25643286973106
21	16	15.6134534907998	0.386546509200192
22	16	14.2035168345256	1.79648316547437
23	19	15.5836197814939	3.41638021850611
24	16	14.9518557166282	1.04814428337178
25	17	15.9375314608391	1.06246853916087
26	17	15.9694486896165	1.03055131038345
27	16	15.4756829546584	0.524317045341595
28	15	14.4563951770482	0.543604822951826
29	16	14.675397042847	1.32460295715302
30	14	14.6913556572357	-0.691355657235692
31	15	15.1574219481923	-0.157421948192293
32	12	13.6831555510643	-1.68315555106428
33	14	15.8206158549528	-1.82061585495276
34	16	15.1480657309337	0.851934269066341
35	14	14.8937203775553	-0.893720377555343
36	7	15.36849795803	-8.36849795802995
37	10	13.0734681570432	-3.07346815704324
38	14	15.3064825766222	-1.3064825766222
39	16	14.8131675789884	1.18683242101161
40	16	15.3155346547897	0.684465345210329
41	16	15.8206525045111	0.179347495488947
42	14	14.8604827361553	-0.860482736155313
43	20	16.1323844129637	3.86761558703633
44	14	14.7497951353997	-0.749795135399732
45	14	15.5490281241214	-1.54902812412141
46	11	15.0525482648015	-4.05254826480146
47	14	15.8884818032836	-1.88848180328356
48	15	15.0470354403194	-0.0470354403194174
49	16	15.0033520090127	0.996647990987274
50	14	15.5749817910925	-1.57498179109246
51	16	15.0737042879392	0.926295712060798
52	14	14.51521209342	-0.51521209341996
53	12	13.8062625125232	-1.80626251252315
54	16	14.582362861102	1.41763713889799
55	9	14.7602409253064	-5.76024092530639
56	14	15.4407138590782	-1.44071385907819
57	16	15.6084838758169	0.391516124183098
58	16	14.7966037326258	1.20339626737419
59	15	15.4833413210867	-0.483341321086678
60	16	14.614848672295	1.38515132770499
61	12	13.1651452766073	-1.16514527660731
62	16	15.4317350800273	0.568264919972702
63	16	14.8014013764591	1.19859862354089
64	14	14.3477798191222	-0.347779819122239
65	16	14.9445747884077	1.05542521159231
66	17	14.9782234713653	2.0217765286347
67	18	14.4200323697288	3.57996763027124
68	18	14.4232338809732	3.57676611902681
69	12	15.4995277292415	-3.49952772924151
70	16	14.8940581199963	1.10594188000366
71	10	15.3476430277749	-5.34764302777492
72	14	14.3145421777222	-0.314542177722209
73	18	14.8781728047242	3.12182719527579
74	18	15.7452350922184	2.2547649077816
75	16	15.1127588929124	0.887241107087556
76	17	14.6451889415418	2.35481105845822
77	16	15.3908757217573	0.609124278242714
78	16	14.319680610205	1.68031938979503
79	13	14.1889885814344	-1.18898858143441
80	16	15.7438444266877	0.256155573312337
81	16	15.0304349443985	0.969565055601453
82	20	15.7033594604169	4.29664053958306
83	16	15.5272891957178	0.472710804282215
84	15	15.4915682699305	-0.491568269930532
85	15	14.7944581906796	0.205541809320419
86	16	14.7594890950994	1.24051090490064
87	14	15.3818969427064	-1.3818969427064
88	16	14.8612345663623	1.13876543363765
89	16	13.9350176200554	2.06498237994462
90	15	13.1889900511904	1.81100994880959
91	12	14.6435897627444	-2.64358976274444
92	17	14.8165348615242	2.18346513847579
93	16	14.9875033432989	1.01249665670111
94	15	14.4051663741965	0.594833625803459
95	13	14.5848491916977	-1.58484919169769
96	16	15.8451758101846	0.154824189815389
97	16	14.7317642781814	1.26823572181862
98	16	15.264643594379	0.735356405620966
99	16	15.6690688959272	0.330931104072831
100	14	15.0311501250473	-1.03115012504729
101	16	15.9050456496461	0.0949543503538648
102	16	14.7317642781814	1.26823572181862
103	20	15.3324362435932	4.66756375640675
104	15	14.7342872583354	0.265712741664649
105	16	14.3723031247958	1.6276968752042
106	13	14.5770555036781	-1.57705550367811
107	17	15.7275450236495	1.2724549763505
108	16	15.3797514007602	0.620248599239828
109	16	14.6141701412046	1.38582985879544
110	12	14.2977697106517	-2.29776971065174
111	16	14.2893036913999	1.71069630860009
112	16	14.0602701234605	1.93972987653953
113	17	14.7446933524753	2.25530664752474
114	13	14.3636651343944	-1.36366513439437
115	12	15.6015773395957	-3.60157733959566
116	18	15.7531609481795	2.24683905182045
117	14	14.5581406483112	-0.558140648311159
118	14	14.810717897951	-0.810717897950994
119	13	15.2328729638348	-2.23287296383478
120	16	15.0943505974863	0.905649402513657
121	13	14.3380858594226	-1.33808585942261
122	16	14.4141818028057	1.58581819719428
123	13	15.635189372995	-2.63518937299498
124	16	15.8974972318927	0.102502768107267
125	15	15.0719361842007	-0.0719361842007219
126	16	14.6851643016632	1.31483569833681
127	15	16.317470106272	-1.317470106272
128	17	16.6357311127381	0.364268887261888
129	15	15.2670535796497	-0.267053579649676
130	12	15.0539053269824	-3.05390532698237
131	16	14.8110953361587	1.18890466384126
132	10	12.9392368745873	-2.93923687458726
133	16	16.0302981530512	-0.03029815305123
134	12	13.8180653646107	-1.81806536461072
135	14	15.3909123713156	-1.39091237131558
136	15	14.641821659006	0.358178340994041
137	13	12.7606100263843	0.239389973615697
138	15	14.7255729226089	0.27442707739112
139	11	13.7910923778998	-2.79109237789977
140	12	15.2988975093105	-3.29889750931051
141	8	14.541917590598	-6.54191759059804
142	16	15.0477506209682	0.95224937903184
143	15	14.3484583502127	0.651541649787309
144	17	14.4751412149153	2.52485878508473
145	16	14.7598298837488	1.24017011625118
146	10	16.0126080844823	-6.01260808448233
147	18	14.9117145852154	3.08828541478459
148	13	14.9183169823455	-1.91831698234548
149	16	14.7685411732668	1.23145882673317
150	13	13.9474003312004	-0.947400331200374
151	10	15.5676978166635	-5.56769781666347
152	15	15.2773273984067	-0.277327398406735
153	16	15.4522125720746	0.547787427925415
154	16	14.9532860779257	1.0467139220743
155	14	13.9307998352795	0.0692001647204952
156	10	14.0671033605651	-4.06710336056513
157	17	14.8165348615242	2.18346513847579
158	13	14.4571103576969	-1.45711035769692
159	15	15.2670535796497	-0.267053579649676
160	16	15.3245500833988	0.675449916601152
161	12	13.8488166754151	-1.84881667541507
162	13	14.4048255855471	-1.40482558554708

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.729712338963501	0.540575322072999	0.270287661036499
9	0.583438858578841	0.833122282842317	0.416561141421159
10	0.48166963324946	0.96333926649892	0.51833036675054
11	0.403229204049352	0.806458408098705	0.596770795950648
12	0.512680321282162	0.974639357435676	0.487319678717838
13	0.417966607352535	0.835933214705069	0.582033392647465
14	0.368117975989546	0.736235951979092	0.631882024010454
15	0.394297884040659	0.788595768081318	0.605702115959341
16	0.333416465989332	0.666832931978664	0.666583534010668
17	0.266914361348819	0.533828722697638	0.733085638651181
18	0.574253362930404	0.851493274139191	0.425746637069596
19	0.562021971473303	0.875956057053393	0.437978028526697
20	0.488583861267313	0.977167722534627	0.511416138732687
21	0.416075027597547	0.832150055195095	0.583924972402453
22	0.349276156041641	0.698552312083282	0.650723843958359
23	0.390761159398014	0.781522318796028	0.609238840601986
24	0.334209526999467	0.668419053998933	0.665790473000533
25	0.291605313716352	0.583210627432704	0.708394686283648
26	0.238264776107595	0.47652955221519	0.761735223892405
27	0.188710115567531	0.377420231135061	0.811289884432469
28	0.156840285470363	0.313680570940726	0.843159714529637
29	0.122544455044354	0.245088910088707	0.877455544955646
30	0.118445971599992	0.236891943199985	0.881554028400008
31	0.0892746400860481	0.178549280172096	0.910725359913952
32	0.109038156372202	0.218076312744404	0.890961843627798
33	0.101796269914088	0.203592539828175	0.898203730085912
34	0.0775902091138362	0.155180418227672	0.922409790886164
35	0.0632799780334611	0.126559956066922	0.936720021966539
36	0.651591498925085	0.69681700214983	0.348408501074915
37	0.750842055171914	0.498315889656172	0.249157944828086
38	0.723261439938024	0.553477120123951	0.276738560061976
39	0.720095938490427	0.559808123019147	0.279904061509573
40	0.678780306900695	0.642439386198609	0.321219693099305
41	0.630473683107786	0.739052633784429	0.369526316892214
42	0.589897367926589	0.820205264146821	0.410102632073411
43	0.700466812740862	0.599066374518275	0.299533187259138
44	0.664615297386223	0.670769405227554	0.335384702613777
45	0.634862319734555	0.73027536053089	0.365137680265445
46	0.767368321549425	0.46526335690115	0.232631678450575
47	0.770664658011174	0.458670683977651	0.229335341988826
48	0.730428896359028	0.539142207281944	0.269571103640972
49	0.693095665086492	0.613808669827016	0.306904334913508
50	0.669847765127697	0.660304469744605	0.330152234872303
51	0.629751846362207	0.740496307275586	0.370248153637793
52	0.582981343864774	0.834037312270453	0.417018656135226
53	0.570051417608372	0.859897164783256	0.429948582391628
54	0.534595627810194	0.930808744379611	0.465404372189806
55	0.759742328495905	0.48051534300819	0.240257671504095
56	0.737281668973121	0.525436662053758	0.262718331026879
57	0.698178110533039	0.603643778933922	0.301821889466961
58	0.679583859791553	0.640832280416895	0.320416140208447
59	0.639026799992316	0.721946400015368	0.360973200007684
60	0.610617017306094	0.778765965387813	0.389382982693906
61	0.573571791124204	0.852856417751591	0.426428208875796
62	0.528884185361288	0.942231629277424	0.471115814638712
63	0.497304021166406	0.994608042332811	0.502695978833594
64	0.451822856363595	0.903645712727191	0.548177143636405
65	0.420458169062523	0.840916338125046	0.579541830937477
66	0.408568425219849	0.817136850439698	0.591431574780151
67	0.469886457576321	0.939772915152641	0.530113542423679
68	0.594800734976281	0.810398530047439	0.405199265023719
69	0.689864098305488	0.620271803389024	0.310135901694512
70	0.656915707644994	0.686168584710011	0.343084292355006
71	0.841495282909519	0.317009434180962	0.158504717090481
72	0.814068900173415	0.371862199653169	0.185931099826585
73	0.840945365945968	0.318109268108064	0.159054634054032
74	0.839295662187973	0.321408675624054	0.160704337812027
75	0.817620576066146	0.364758847867709	0.182379423933854
76	0.820991831854784	0.358016336290432	0.179008168145216
77	0.793529988566365	0.412940022867269	0.206470011433635
78	0.78042301684149	0.439153966317021	0.21957698315851
79	0.754557028867078	0.490885942265844	0.245442971132922
80	0.719891124861466	0.560217750277069	0.280108875138534
81	0.687719558796142	0.624560882407716	0.312280441203858
82	0.794568522425713	0.410862955148574	0.205431477574287
83	0.761872321654107	0.476255356691785	0.238127678345893
84	0.726804237383128	0.546391525233743	0.273195762616872
85	0.687671895490312	0.624656209019376	0.312328104509688
86	0.660128994177042	0.679742011645917	0.339871005822958
87	0.638149357586591	0.723701284826818	0.361850642413409
88	0.606417407621009	0.787165184757982	0.393582592378991
89	0.60274122654322	0.79451754691356	0.39725877345678
90	0.59118548987006	0.817629020259881	0.40881451012994
91	0.60865900743703	0.782681985125939	0.39134099256297
92	0.613168970401011	0.773662059197979	0.386831029598989
93	0.583401489884583	0.833197020230833	0.416598510115417
94	0.5418445357438	0.9163109285124	0.4581554642562
95	0.523139743517914	0.953720512964172	0.476860256482086
96	0.47848060249179	0.95696120498358	0.52151939750821
97	0.456021201755405	0.91204240351081	0.543978798244595
98	0.415326761730957	0.830653523461913	0.584673238269043
99	0.372726232380919	0.745452464761838	0.627273767619081
100	0.338247883865188	0.676495767730376	0.661752116134812
101	0.297291894938446	0.594583789876893	0.702708105061553
102	0.279948979352495	0.55989795870499	0.720051020647505
103	0.468942291720494	0.937884583440988	0.531057708279506
104	0.423218586515148	0.846437173030296	0.576781413484852
105	0.432264291969942	0.864528583939883	0.567735708030058
106	0.410717520677719	0.821435041355438	0.589282479322281
107	0.392568507085008	0.785137014170016	0.607431492914992
108	0.393437933579655	0.786875867159309	0.606562066420345
109	0.373724893856145	0.74744978771229	0.626275106143855
110	0.389211430541405	0.77842286108281	0.610788569458595
111	0.385234577681803	0.770469155363606	0.614765422318197
112	0.381501385599925	0.763002771199851	0.618498614400075
113	0.413926449146691	0.827852898293383	0.586073550853309
114	0.376300161179141	0.752600322358282	0.623699838820859
115	0.426304358106234	0.852608716212468	0.573695641893766
116	0.438565461170929	0.877130922341858	0.561434538829071
117	0.401235372750481	0.802470745500962	0.598764627249519
118	0.361977262331253	0.723954524662507	0.638022737668747
119	0.362471248755466	0.724942497510931	0.637528751244534
120	0.365657602562056	0.731315205124112	0.634342397437944
121	0.325056509071734	0.650113018143467	0.674943490928266
122	0.298597323604851	0.597194647209703	0.701402676395149
123	0.285289653037506	0.570579306075011	0.714710346962494
124	0.243009816564249	0.486019633128498	0.756990183435751
125	0.20184075546071	0.403681510921421	0.79815924453929
126	0.177222013337218	0.354444026674436	0.822777986662782
127	0.153654236797958	0.307308473595917	0.846345763202042
128	0.144006556510871	0.288013113021742	0.855993443489129
129	0.118318138154176	0.236636276308352	0.881681861845824
130	0.123473061659891	0.246946123319782	0.876526938340109
131	0.103200434226693	0.206400868453385	0.896799565773307
132	0.108053144393308	0.216106288786616	0.891946855606692
133	0.0913430962426795	0.182686192485359	0.908656903757321
134	0.0862941948105808	0.172588389621162	0.913705805189419
135	0.067272433184306	0.134544866368612	0.932727566815694
136	0.0500112068263412	0.100022413652682	0.949988793173659
137	0.0360665210412672	0.0721330420825343	0.963933478958733
138	0.0280776841081566	0.0561553682163133	0.971922315891843
139	0.031647216467877	0.063294432935754	0.968352783532123
140	0.0335568920944149	0.0671137841888298	0.966443107905585
141	0.37144716442921	0.742894328858419	0.62855283557079
142	0.304641301351661	0.609282602703322	0.695358698648339
143	0.24413387810399	0.48826775620798	0.75586612189601
144	0.219130731216598	0.438261462433196	0.780869268783402
145	0.165594799991995	0.33118959998399	0.834405200008005
146	0.518164089185041	0.963671821629918	0.481835910814959
147	0.507219216066583	0.985561567866833	0.492780783933416
148	0.512524483478948	0.974951033042105	0.487475516521052
149	0.412573964671079	0.825147929342158	0.587426035328921
150	0.32126448941383	0.64252897882766	0.67873551058617
151	0.849561676658894	0.300876646682212	0.150438323341106
152	0.924797862854974	0.150404274290053	0.0752021371450265
153	0.855398510904311	0.289202978191378	0.144601489095689
154	0.800644214702974	0.398711570594052	0.199355785297026

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	4	0.0272108843537415	OK