Multiple Linear Regression - Estimated Regression Equation

learning[t] = + 15.2687499407537 + 0.114604303691032connected[t] + 0.0544478961267851happiness[t] -0.117210036768715depression[t] -0.353609221383013month[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)	15.2687499407537	3.335438	4.5777	1e-05	5e-06
connected	0.114604303691032	0.051221	2.2374	0.026665	0.013333
happiness	0.0544478961267851	0.087134	0.6249	0.532958	0.266479
depression	-0.117210036768715	0.064384	-1.8205	0.070588	0.035294
month	-0.353609221383013	0.210577	-1.6792	0.095094	0.047547

Multiple Linear Regression - Regression Statistics
Multiple R	0.328115474245062
R-squared	0.107659764439062
Adjusted R-squared	0.0849249813674458
F-TEST (value)	4.73546477659038
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	0.00123632742664481
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.15832924249466
Sum Squared Residuals	731.366463684192

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.1407935041893	-3.14079350418932
2	16	16.2465865180831	-0.246586518083064
3	19	14.4823824016701	4.51761759832987
4	15	14.8858546750254	0.11414532497462
5	14	14.3925688396872	-0.392568839687183
6	13	15.6709592665502	-2.67095926655022
7	19	14.7394845291201	4.26051547087994
8	15	15.4557734151208	-0.455773415120762
9	14	15.8566399553983	-1.85663995539833
10	15	15.6196141487832	-0.619614148783214
11	16	16.194744355034	-0.194744355033961
12	16	16.3088516134429	-0.308851613442896
13	16	15.2275588983029	0.772441101697109
14	16	15.7860606155233	0.213939384476651
15	17	15.6761707327056	1.32382926729442
16	15	14.8749346974326	0.125065302567448
17	15	15.3333519121967	-0.333351912196682
18	20	16.0775343182652	3.92246568173475
19	18	16.1460049703446	1.85399502965536
20	16	15.1010405264548	0.898959473545162
21	16	15.9131965393207	0.0868034606793034
22	16	14.5969867053612	1.40301329463883
23	19	15.9115848968072	3.08841510319279
24	16	15.3390604236341	0.660939576365856
25	17	16.1921386219563	0.807861378043722
26	17	16.2201841338615	0.779815866138508
27	16	15.7938778147564	0.206122185243603
28	15	14.8723289643549	0.12767103564513
29	16	15.0439868972504	0.95601310274963
30	14	15.058009653203	-1.05800965320298
31	15	15.4552763698387	-0.455276369838665
32	12	14.1302552460819	-2.13025524608189
33	14	16.0801400513429	-2.08014005134293
34	16	15.5102213112475	0.489778688752453
35	14	15.2213533415833	-1.22135334158333
36	7	15.6870907102984	-8.68709071029841
37	10	13.5556220851132	-3.55562208511324
38	14	15.6222198818609	-1.6222198818609
39	16	15.1633056218147	0.836694378185329
40	16	15.6331398594537	0.366860140546276
41	16	16.0884542958581	-0.0884542958580734
42	14	15.2130390970682	-1.21303909706819
43	20	16.3747165324446	3.62528346755539
44	14	15.1098518162521	-1.10985181625208
45	14	15.8052948376313	-1.80529483763132
46	11	15.4018225642761	-4.40182256427607
47	14	16.2030585995491	-2.20305859954911
48	15	15.3956170075565	-0.395617007556514
49	16	15.3794855638083	0.620514436191678
50	14	15.8597427337581	-1.85974273375811
51	16	15.452670636761	0.547329363239018
52	14	14.8749346974326	-0.874934697432552
53	12	14.2427508619773	-2.24275086197734
54	16	14.995247512561	1.00475248743895
55	9	14.7640597941021	-5.76405979410211
56	14	15.3832149641689	-1.38321496416892
57	16	15.5496614309091	0.450338569090949
58	16	14.8180106449468	1.1819893550532
59	15	15.454291349326	-0.45429134932599
60	16	14.6390325581004	1.36096744189965
61	12	13.2621692712945	-1.26216927129447
62	16	15.3889234756064	0.611076524393622
63	16	14.8216104685887	1.17838953141132
64	14	14.4067211723585	-0.406721172358507
65	16	14.9221920163271	1.0778079836729
66	17	14.9989769129216	2.00102308707836
67	18	14.4647688921272	3.53523110787283
68	18	14.4176411499513	3.58235885004867
69	12	15.4952135347823	-3.49521353478227
70	16	14.9195862832494	1.08041371675058
71	10	15.3261613349644	-5.32616133496445
72	14	14.3984069278434	-0.398406927843363
73	18	14.9221920163271	3.0778079836729
74	18	15.7322393413974	2.26776065860262
75	16	15.047716297611	0.952283702389036
76	17	14.6286096257896	2.37139037421038
77	16	15.3749007196538	0.625099280346229
78	16	14.3444560769987	1.65554392300133
79	13	14.2345661941809	-1.23456619418091
80	16	15.6259492822215	0.37405071777851
81	16	15.0420077861735	0.957992213826498
82	20	15.6720829338331	4.32791706616687
83	16	15.505636467093	0.494363532907004
84	15	15.4376628602957	-0.437662860295701
85	15	14.8101934457138	0.189806554286246
86	16	14.7531398165093	1.24686018349071
87	14	15.3806092310912	-1.38060923109123
88	16	14.870349853278	1.129650146722
89	16	14.0058546320809	1.99414536791906
90	15	13.3171142127034	1.68288578729664
91	12	14.6872748975076	-2.68727489750758
92	17	14.8080847579182	2.19191524208183
93	16	15.0367963200181	0.963203679981864
94	15	14.4041154392808	0.595884560719175
95	13	14.5919048159245	-1.59190481592452
96	16	15.7840815044465	0.215918495553519
97	16	14.7510311287137	1.2489688712863
98	16	15.2167684974288	0.783231502571219
99	16	15.6093207931912	0.390679206808799
100	14	15.0446135192512	-1.04461351925118
101	16	15.8411351336509	0.158864866349052
102	16	14.7510311287137	1.2489688712863
103	20	15.3230585566047	4.67694144339533
104	15	14.7096118979753	0.290388102024671
105	16	14.4559576023299	1.54404239767007
106	13	14.5798702411003	-1.5798702411003
107	17	15.6694772007554	1.33052279924455
108	16	15.3727920318582	0.627207968141814
109	16	14.2911318481548	1.7088681518452
110	12	14.0384716430736	-2.03847164307359
111	16	13.9929555434112	2.00704445658875
112	16	13.7725582258264	2.22744177417358
113	17	14.4648984688459	2.53510153115411
114	13	14.0505062178978	-1.05050621789781
115	12	15.1929494311663	-3.19294943116626
116	18	15.3184737124501	2.68152628754988
117	14	14.2823205583576	-0.282320558357559
118	14	14.5141348988173	-0.514134898817306
119	13	14.8683707422011	-1.86837074220113
120	16	14.738132040044	1.26186795995599
121	13	14.0562147293353	-1.05621472933527
122	16	14.0531119509755	1.94688804902451
123	13	15.2614200832456	-2.26142008324565
124	16	15.4984458898608	0.501554110139237
125	15	14.6883985647905	0.311601435209511
126	16	14.3502941651549	1.64970583484515
127	15	15.8365502894964	-0.836550289496397
128	17	16.1751517344141	0.824848265585871
129	15	14.9061901492976	0.0938098507023711
130	12	14.6831870986351	-2.68318709863512
131	16	14.4648984688459	1.53510153115411
132	10	12.7337993386562	-2.73379933865618
133	16	15.6078387273964	0.39216127260357
134	12	13.5319325955694	-1.53193259556944
135	14	15.0296057427859	-1.0296057427859
136	15	14.2766120469201	0.723387953079903
137	13	12.4910650206036	0.508934979396392
138	15	14.3969248620486	0.603075137951409
139	11	13.5407438853667	-2.54074388536668
140	12	14.9176071721726	-2.91760717217255
141	8	14.2330841283861	-6.23308412838614
142	16	14.6910042978682	1.30899570213183
143	15	14.047403439538	0.952596560461968
144	17	14.1729277208219	2.82707227917811
145	16	14.3419799206397	1.65802007936029
146	10	15.5450765867545	-5.5450765867545
147	18	14.5110321204575	3.48896787954247
148	13	14.579999817819	-1.57999981781902
149	16	14.4104505727191	1.5895494272809
150	13	13.6532395012621	-0.653239501262124
151	10	15.1986579426037	-5.19865794260372
152	15	14.9076812851439	0.09231871485608
153	16	15.0918708381457	0.908129161854264
154	16	14.6370534470235	1.36294655297652
155	14	13.6532395012621	0.346760498737876
156	10	13.7590325151559	-3.75903251515591
157	17	14.4544755365352	2.54552446346484
158	13	14.1677162546665	-1.16771625466653
159	15	14.9061901492976	0.0938098507023711
160	16	14.9285271497654	1.07147285023462
161	12	13.5899803153381	-1.5899803153381
162	13	14.1080568923844	-1.10805689238438

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.868077374435356	0.263845251129288	0.131922625564644
9	0.774925357079645	0.45014928584071	0.225074642920355
10	0.658796463995439	0.682407072009122	0.341203536004561
11	0.642897366244302	0.714205267511397	0.357102633755698
12	0.64432963829237	0.711340723415259	0.35567036170763
13	0.542114657059883	0.915770685880234	0.457885342940117
14	0.449083492374012	0.898166984748024	0.550916507625988
15	0.426039545956772	0.852079091913545	0.573960454043228
16	0.357518022669876	0.715036045339753	0.642481977330124
17	0.283825004159865	0.56765000831973	0.716174995840135
18	0.591255743601987	0.817488512796026	0.408744256398013
19	0.589399515143645	0.821200969712711	0.410600484856355
20	0.514035368731502	0.971929262536997	0.485964631268498
21	0.440199808562797	0.880399617125594	0.559800191437203
22	0.370750660586751	0.741501321173503	0.629249339413249
23	0.427008254674419	0.854016509348838	0.572991745325581
24	0.361497578032491	0.722995156064982	0.638502421967509
25	0.308618534566142	0.617237069132284	0.691381465433858
26	0.251567572528419	0.503135145056838	0.748432427471581
27	0.200225132342445	0.400450264684889	0.799774867657555
28	0.163303150475941	0.326606300951883	0.836696849524059
29	0.127573984067704	0.255147968135409	0.872426015932296
30	0.126066766315151	0.252133532630301	0.873933233684849
31	0.0967745151011833	0.193549030202367	0.903225484898817
32	0.118334839110809	0.236669678221619	0.88166516088919
33	0.117349327452953	0.234698654905906	0.882650672547047
34	0.0910475844269686	0.182095168853937	0.908952415573031
35	0.0803352474453621	0.160670494890724	0.919664752554638
36	0.691072642776814	0.617854714446372	0.308927357223186
37	0.803551755218751	0.392896489562499	0.196448244781249
38	0.785382168293028	0.429235663413943	0.214617831706972
39	0.776955645605562	0.446088708788877	0.223044354394438
40	0.737971525495788	0.524056949008423	0.262028474504212
41	0.692608909981516	0.614782180036969	0.307391090018484
42	0.659508726260558	0.680982547478883	0.340491273739442
43	0.740013112523895	0.519973774952211	0.259986887476105
44	0.710571128406843	0.578857743186314	0.289428871593157
45	0.703554973243124	0.592890053513752	0.296445026756876
46	0.827737592754614	0.344524814490772	0.172262407245386
47	0.829365598219858	0.341268803560283	0.170634401780142
48	0.798658905437684	0.402682189124631	0.201341094562315
49	0.761768163395922	0.476463673208155	0.238231836604078
50	0.756415574523428	0.487168850953144	0.243584425476572
51	0.725516408172437	0.548967183655126	0.274483591827563
52	0.694204697445108	0.611590605109784	0.305795302554892
53	0.70804119282797	0.583917614344059	0.29195880717203
54	0.677735692008464	0.644528615983071	0.322264307991536
55	0.781828634258821	0.436342731482359	0.218171365741179
56	0.785504937073439	0.428990125853122	0.214495062926561
57	0.778209423527455	0.44358115294509	0.221790576472545
58	0.814138448424009	0.371723103151982	0.185861551575991
59	0.792053222728933	0.415893554542135	0.207946777271067
60	0.779415305089892	0.441169389820217	0.220584694910108
61	0.759475218777342	0.481049562445316	0.240524781222658
62	0.72682168727015	0.5463566254597	0.27317831272985
63	0.709404935748828	0.581190128502343	0.290595064251172
64	0.674111140925319	0.651777718149361	0.325888859074681
65	0.639763734391661	0.720472531216679	0.360236265608339
66	0.635549885757378	0.728900228485244	0.364450114242622
67	0.677645963092339	0.644708073815321	0.32235403690766
68	0.733642245056299	0.532715509887402	0.266357754943701
69	0.822870894509402	0.354258210981196	0.177129105490598
70	0.793885232854329	0.412229534291341	0.206114767145671
71	0.938028386232115	0.123943227535771	0.0619716137678853
72	0.924774870173079	0.150450259653842	0.0752251298269209
73	0.933997125290295	0.13200574941941	0.0660028747097052
74	0.929733681494331	0.140532637011338	0.0702663185056689
75	0.914526301213158	0.170947397573685	0.0854736987868423
76	0.910514570244299	0.178970859511402	0.089485429755701
77	0.890607680777061	0.218784638445878	0.109392319222939
78	0.874850694684809	0.250298610630381	0.125149305315191
79	0.867557846553321	0.264884306893359	0.132442153446679
80	0.843180305039433	0.313639389921135	0.156819694960567
81	0.816165906703908	0.367668186592184	0.183834093296092
82	0.874003274256132	0.251993451487735	0.125996725743868
83	0.849089187326251	0.301821625347498	0.150910812673749
84	0.826647974146689	0.346704051706622	0.173352025853311
85	0.797111409787571	0.405777180424858	0.202888590212429
86	0.766530209337393	0.466939581325214	0.233469790662607
87	0.759917510403784	0.480164979192433	0.240082489596216
88	0.725308846694535	0.549382306610931	0.274691153305465
89	0.70282887757816	0.594342244843679	0.29717112242184
90	0.67414812826882	0.651703743462361	0.32585187173118
91	0.729966617297502	0.540066765404997	0.270033382702498
92	0.713573266421662	0.572853467156676	0.286426733578338
93	0.673778885987969	0.652442228024062	0.326221114012031
94	0.630579035850172	0.738841928299657	0.369420964149828
95	0.654430136919893	0.691139726160214	0.345569863080107
96	0.612202345749898	0.775595308500204	0.387797654250102
97	0.570698277765134	0.858603444469733	0.429301722234866
98	0.52562988078026	0.948740238439481	0.47437011921974
99	0.479974101771448	0.959948203542896	0.520025898228552
100	0.490372843260921	0.980745686521842	0.509627156739079
101	0.453537287233101	0.907074574466201	0.546462712766899
102	0.407786539434599	0.815573078869198	0.592213460565401
103	0.510688967669853	0.978622064660295	0.489311032330147
104	0.479897151490731	0.959794302981463	0.520102848509269
105	0.43861933602172	0.877238672043439	0.56138066397828
106	0.4448165984727	0.889633196945399	0.5551834015273
107	0.399025410185627	0.798050820371254	0.600974589814373
108	0.353660897939763	0.707321795879526	0.646339102060237
109	0.335148231334742	0.670296462669485	0.664851768665258
110	0.346275081220625	0.69255016244125	0.653724918779375
111	0.331920915618748	0.663841831237495	0.668079084381253
112	0.3247735391932	0.6495470783864	0.6752264608068
113	0.320583616125807	0.641167232251615	0.679416383874193
114	0.293360403531018	0.586720807062037	0.706639596468982
115	0.346476399706336	0.692952799412672	0.653523600293664
116	0.371287455909079	0.742574911818159	0.628712544090921
117	0.327543475236237	0.655086950472474	0.672456524763763
118	0.286896448688637	0.573792897377274	0.713103551311363
119	0.288980409010313	0.577960818020626	0.711019590989687
120	0.284887410352994	0.569774820705989	0.715112589647006
121	0.250524302712036	0.501048605424072	0.749475697287964
122	0.241712526299383	0.483425052598765	0.758287473700617
123	0.236930917015169	0.473861834030337	0.763069082984831
124	0.197628938713861	0.395257877427721	0.802371061286139
125	0.162063915596646	0.324127831193291	0.837936084403354
126	0.141102180930946	0.282204361861893	0.858897819069054
127	0.11565841226258	0.231316824525159	0.88434158773742
128	0.107121673698155	0.214243347396309	0.892878326301845
129	0.0839853759336491	0.167970751867298	0.916014624066351
130	0.0851961491595843	0.170392298319169	0.914803850840416
131	0.071248220226982	0.142496440453964	0.928751779773018
132	0.0789854783810705	0.157970956762141	0.921014521618929
133	0.0667451991428405	0.133490398285681	0.93325480085716
134	0.063742503746623	0.127485007493246	0.936257496253377
135	0.0478634837979098	0.0957269675958196	0.95213651620209
136	0.0360050191451935	0.0720100382903869	0.963994980854807
137	0.0255367815307959	0.0510735630615918	0.974463218469204
138	0.0190699572285907	0.0381399144571814	0.980930042771409
139	0.0234133009739831	0.0468266019479662	0.976586699026017
140	0.0240555719992666	0.0481111439985331	0.975944428000733
141	0.336460823426198	0.672921646852395	0.663539176573802
142	0.273858410539913	0.547716821079826	0.726141589460087
143	0.216066424600419	0.432132849200838	0.783933575399581
144	0.186152829641187	0.372305659282373	0.813847170358813
145	0.146040324579867	0.292080649159733	0.853959675420133
146	0.288076156495106	0.576152312990212	0.711923843504894
147	0.453131025110026	0.906262050220052	0.546868974889974
148	0.474051343946109	0.948102687892219	0.525948656053891
149	0.377793378222902	0.755586756445804	0.622206621777098
150	0.285452001630986	0.570904003261972	0.714547998369014
151	0.84440953885076	0.311180922298481	0.15559046114924
152	0.912106568226051	0.175786863547898	0.0878934317739489
153	0.829394755641093	0.341210488717815	0.170605244358907
154	0.691243536352243	0.617512927295515	0.308756463647757

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	3	0.0204081632653061	OK
10% type I error level	6	0.0408163265306122	OK