Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.70487680850056 -0.00422497540338048t + 0.100377769352725Connected[t] + 0.532121564262077Software[t] + 0.0520122055726539Happiness[t] -0.0700757970117463Depression[t] + 0.00575613837226509Belonging[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)	5.70487680850056	2.439532	2.3385	0.020638	0.010319
t	-0.00422497540338048	0.003223	-1.3108	0.191867	0.095934
Connected	0.100377769352725	0.043779	2.2928	0.023202	0.011601
Software	0.532121564262077	0.068981	7.7141	0	0
Happiness	0.0520122055726539	0.075436	0.6895	0.49155	0.245775
Depression	-0.0700757970117463	0.055863	-1.2544	0.211578	0.105789
Belonging	0.00575613837226509	0.014555	0.3955	0.69304	0.34652

Multiple Linear Regression - Regression Statistics
Multiple R	0.599868523960954
R-squared	0.359842246039093
Adjusted R-squared	0.335061945885768
F-TEST (value)	14.5213029629427
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	4.10560474506383e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83983950285155
Sum Squared Residuals	524.676456419219

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3939357953101	-3.39393579531011
2	16	16.1249109025263	-0.124910902526285
3	19	16.6563366625076	2.34366333749243
4	15	12.1613153160666	2.83868468393337
5	14	15.8122464930912	-1.81224649309125
6	13	15.0582534552499	-2.05825345524992
7	19	15.4670724340669	3.53292756593311
8	15	16.9514512436044	-1.9514512436044
9	14	16.1712898507331	-2.17128985073313
10	15	12.8759981448193	2.1240018551807
11	16	15.4321574131143	0.567842586885705
12	16	16.3916925733918	-0.391692573391792
13	16	15.7044125062972	0.295587493702802
14	16	15.5757629675927	0.424237032407311
15	17	17.6720377985983	-0.672037798598309
16	15	15.3157903379227	-0.315790337922683
17	15	14.7466876637346	0.253312336265446
18	20	16.4485551621534	3.55144483784657
19	18	15.7884782512001	2.21152174879988
20	16	15.467234506094	0.53276549390605
21	16	15.5071724049947	0.492827595005336
22	16	15.0915874831544	0.908412516845636
23	19	16.6381085003646	2.3618914996354
24	16	15.1362211293073	0.863778870692651
25	17	14.9114811341517	2.08851886584827
26	17	16.9260150737108	0.0739849262892251
27	16	15.0244458502536	0.975554149746439
28	15	16.4229532560422	-1.42295325604217
29	16	15.5283784000494	0.471621599950583
30	14	14.3589975181008	-0.358997518100822
31	15	15.7330763779131	-0.733076377913122
32	12	12.4727030715832	-0.4727030715832
33	14	15.1927810779091	-1.19278107790908
34	16	15.8523955136541	0.147604486345931
35	14	15.5984453549319	-1.59844535493189
36	7	13.1699920005999	-6.16999200059992
37	10	11.0814680427486	-1.08146804274863
38	14	15.8913455548948	-1.89134555489481
39	16	14.3931897625283	1.60681023747168
40	16	14.7428896123448	1.25711038765518
41	16	15.1423010756653	0.857698924334732
42	14	15.6085752796141	-1.60857527961405
43	20	17.9018019506607	2.09819804933928
44	14	14.2958199647832	-0.295819964783151
45	14	14.9008100408017	-0.900810040801691
46	11	15.6625304866013	-4.66253048660133
47	14	16.7618884400336	-2.76188844003356
48	15	15.1089412790416	-0.108941279041554
49	16	15.2238146964224	0.776185303577594
50	14	16.0304773281152	-2.03047732811519
51	16	16.6970728637325	-0.697072863732525
52	14	14.1512533402272	-0.151253340227216
53	12	14.751907135094	-2.75190713509398
54	16	15.8071185179055	0.192881482094495
55	9	11.5611490191076	-2.56114901910756
56	14	12.7517250732755	1.24827492672446
57	16	16.1114091539665	-0.111409153966454
58	16	15.2914044989043	0.708595501095701
59	15	15.3665045305645	-0.366504530564524
60	16	14.2617550520181	1.73824494798191
61	12	11.502994377387	0.497005622613003
62	16	15.9212141030074	0.0787858969925935
63	16	16.475696767572	-0.475696767571973
64	14	14.445955354712	-0.445955354712027
65	16	15.4085855309578	0.591414469042171
66	17	16.0666100530084	0.933389946991633
67	18	16.2458558975103	1.75414410248975
68	18	14.4856837724415	3.51431622755847
69	12	15.9453797214583	-3.94537972145832
70	16	15.5041047018659	0.495895298134118
71	10	13.6790780921669	-3.67907809216693
72	14	14.4576164423631	-0.457616442363074
73	18	16.5944445923061	1.4055554076939
74	18	17.1328844248817	0.867115575118325
75	16	15.5751471109702	0.424852889029838
76	17	13.8408031543885	3.15919684561151
77	16	16.3872633235391	-0.387263323539065
78	16	14.5235537628435	1.47644623715651
79	13	14.8795604417562	-1.87956044175625
80	16	15.822622984867	0.177377015133025
81	16	15.5246632084811	0.475336791518864
82	20	15.7619865328321	4.23801346716793
83	16	15.8110712834252	0.188928716574802
84	15	15.8608989380092	-0.860898938009212
85	15	14.7648952076352	0.23510479236479
86	16	14.2356191265994	1.7643808734006
87	14	14.2416613625257	-0.241661362525693
88	16	15.3154389943504	0.684561005649578
89	16	14.5611212693443	1.43887873065573
90	15	14.2479017727899	0.752098227210115
91	12	13.6146292098439	-1.61462920984387
92	17	16.8474554213894	0.152544578610562
93	16	15.523055171578	0.476944828422002
94	15	15.0543137803816	-0.0543137803816209
95	13	15.0358099996616	-2.03580999966161
96	16	15.0570804089675	0.942919591032457
97	16	15.8267192582007	0.173280741799318
98	16	13.999461128598	2.00053887140203
99	16	15.965661416521	0.0343385834789743
100	14	14.332575159835	-0.332575159834978
101	16	17.1631274687416	-1.16312746874157
102	16	14.7643758061487	1.23562419385132
103	20	17.3456849892457	2.65431501075433
104	15	14.5121108194585	0.487889180541479
105	16	14.5407632494792	1.4592367505208
106	13	15.1856860772409	-2.18568607724089
107	17	15.9514464852127	1.04855351478727
108	16	15.8171829353748	0.182817064625189
109	16	14.4911079657657	1.5088920342343
110	12	12.3843098386992	-0.384309838699246
111	16	14.9038216624031	1.0961783375969
112	16	15.7400438585961	0.25995614140388
113	17	14.7047454961632	2.29525450383676
114	13	14.1844226196723	-1.18442261967227
115	12	14.7869743982424	-2.78697439824237
116	18	16.4728026822261	1.52719731777395
117	14	15.498542602307	-1.498542602307
118	14	13.0962615859139	0.903738414086058
119	13	14.8625705836188	-1.86257058361879
120	16	15.5927801429882	0.407219857011801
121	13	14.2432993640123	-1.24329936401227
122	16	15.4032972307745	0.596702769225525
123	13	15.9066644720254	-2.90666447202543
124	16	17.0017024479893	-1.00170244798927
125	15	15.8363490247609	-0.836349024760882
126	16	16.6261240582645	-0.626124058264489
127	15	15.2459071517933	-0.245907151793292
128	17	16.0434427794359	0.95655722056412
129	15	13.9450607953678	1.05493920463221
130	12	14.8058288255295	-2.80582882552952
131	16	13.9987200223118	2.0012799776882
132	10	13.2575938465019	-3.25759384650194
133	16	13.9376861361933	2.06231386380667
134	12	13.8054622064648	-1.80546220646485
135	14	15.5991691252364	-1.59916912523642
136	15	15.0509650215967	-0.0509650215966947
137	13	11.9969492006038	1.00305079939623
138	15	14.497758005015	0.502241994985038
139	11	13.2119069318468	-2.21190693184677
140	12	13.2613168657549	-1.26131686575485
141	8	13.2423828609069	-5.24238286090692
142	16	12.964248020179	3.03575197982099
143	15	13.2357822390259	1.76421776097412
144	17	16.4719261088177	0.528073891182322
145	16	14.439799605941	1.56020039405902
146	10	13.9337715249775	-3.93377152497748
147	18	15.6422266202115	2.35777337978851
148	13	15.0851561191257	-2.08515611912567
149	16	14.9579259414915	1.04207405850848
150	13	12.9303143118036	0.0696856881963832
151	10	13.0866691944922	-3.08666919449224
152	15	16.1357322500619	-1.13573225006194
153	16	13.8705927486223	2.12940725137774
154	16	11.9578607748318	4.04213922516822
155	14	12.3540433170356	1.64595668296442
156	10	12.4789926675795	-2.47899266757949
157	17	16.5728320201697	0.427167979830294
158	13	11.5864319671651	1.41356803283489
159	15	13.8183115332664	1.18168846673363
160	16	14.8240542314442	1.17594576855576
161	12	12.3400146458708	-0.340014645870803
162	13	12.642366933185	0.357633066814957

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.91796655927825	0.1640668814435	0.0820334407217502
11	0.908817596499149	0.182364807001703	0.0911824035008514
12	0.895500011118406	0.208999977763188	0.104499988881594
13	0.852438478931297	0.295123042137407	0.147561521068703
14	0.779915445895582	0.440169108208837	0.220084554104418
15	0.710685981615416	0.578628036769169	0.289314018384584
16	0.706113144660308	0.587773710679385	0.293886855339693
17	0.631517939485368	0.736964121029265	0.368482060514632
18	0.826991949956212	0.346016100087577	0.173008050043788
19	0.79657130530968	0.40685738938064	0.20342869469032
20	0.739954566939807	0.520090866120387	0.260045433060193
21	0.67142122845227	0.657157543095461	0.32857877154773
22	0.634518492799859	0.730963014400283	0.365481507200141
23	0.604010578139824	0.791978843720353	0.395989421860176
24	0.574693897502832	0.850612204994336	0.425306102497168
25	0.518752880845655	0.96249423830869	0.481247119154345
26	0.479961402310965	0.95992280462193	0.520038597689035
27	0.429267054307182	0.858534108614365	0.570732945692818
28	0.475633949403615	0.95126789880723	0.524366050596385
29	0.419276050084142	0.838552100168285	0.580723949915858
30	0.436258024060589	0.872516048121178	0.563741975939411
31	0.38992183409117	0.779843668182341	0.610078165908829
32	0.387915016263432	0.775830032526865	0.612084983736568
33	0.382860391459616	0.765720782919233	0.617139608540384
34	0.325702720506119	0.651405441012238	0.674297279493881
35	0.323556704607077	0.647113409214154	0.676443295392923
36	0.818065336679443	0.363869326641114	0.181934663320557
37	0.800816034340643	0.398367931318714	0.199183965659357
38	0.784492662201071	0.431014675597858	0.215507337798929
39	0.819199377126704	0.361601245746591	0.180800622873296
40	0.80554877578748	0.38890244842504	0.19445122421252
41	0.777853457678614	0.444293084642772	0.222146542321386
42	0.755175266551966	0.489649466896068	0.244824733448034
43	0.775080653031311	0.449838693937378	0.224919346968689
44	0.735547967877644	0.528904064244712	0.264452032122356
45	0.703497663725807	0.593004672548386	0.296502336274193
46	0.869400606961576	0.261198786076849	0.130599393038424
47	0.881491668890267	0.237016662219467	0.118508331109733
48	0.858805150802243	0.282389698395513	0.141194849197757
49	0.84224929893559	0.31550140212882	0.15775070106441
50	0.833950484902843	0.332099030194315	0.166049515097158
51	0.805217376499834	0.389565247000333	0.194782623500166
52	0.771959351464396	0.456081297071209	0.228040648535604
53	0.788955449378005	0.42208910124399	0.211044550621995
54	0.762364780413281	0.475270439173438	0.237635219586719
55	0.782944765445269	0.434110469109462	0.217055234554731
56	0.773996723324515	0.452006553350971	0.226003276675485
57	0.737269022687066	0.525461954625869	0.262730977312934
58	0.726254354632998	0.547491290734004	0.273745645367002
59	0.69141838415092	0.617163231698159	0.30858161584908
60	0.699992793676046	0.600014412647908	0.300007206323954
61	0.663881379891314	0.672237240217372	0.336118620108686
62	0.622436938482564	0.755126123034872	0.377563061517436
63	0.583386892958831	0.833226214082338	0.416613107041169
64	0.54044266798145	0.9191146640371	0.45955733201855
65	0.502447157205526	0.995105685588949	0.497552842794474
66	0.478504601050238	0.957009202100476	0.521495398949762
67	0.473064546010258	0.946129092020517	0.526935453989742
68	0.59954129703189	0.80091740593622	0.40045870296811
69	0.739795662210832	0.520408675578335	0.260204337789168
70	0.70479509166386	0.59040981667228	0.29520490833614
71	0.812610881168464	0.374778237663072	0.187389118831536
72	0.783709709853987	0.432580580292026	0.216290290146013
73	0.770390386131593	0.459219227736815	0.229609613868407
74	0.744674844393348	0.510650311213304	0.255325155606652
75	0.708004531207907	0.583990937584187	0.291995468792093
76	0.76613968250981	0.467720634980381	0.23386031749019
77	0.730622676491351	0.538754647017299	0.269377323508649
78	0.712515924075935	0.574968151848129	0.287484075924065
79	0.717095952044828	0.565808095910344	0.282904047955172
80	0.683200055174706	0.633599889650589	0.316799944825294
81	0.643469045492594	0.713061909014812	0.356530954507406
82	0.798225248604787	0.403549502790425	0.201774751395213
83	0.764264429342306	0.471471141315388	0.235735570657694
84	0.736629779103464	0.526740441793073	0.263370220896536
85	0.697827124321566	0.604345751356868	0.302172875678434
86	0.68644449611871	0.62711100776258	0.31355550388129
87	0.645835391252119	0.708329217495761	0.354164608747881
88	0.605184643420283	0.789630713159435	0.394815356579717
89	0.583839945302752	0.832320109394497	0.416160054697248
90	0.546645980448523	0.906708039102955	0.453354019551477
91	0.540624063321808	0.918751873356384	0.459375936678192
92	0.498585806287901	0.997171612575801	0.501414193712099
93	0.45380069862715	0.907601397254301	0.54619930137285
94	0.407496004769499	0.814992009538998	0.592503995230501
95	0.432347621203936	0.864695242407872	0.567652378796064
96	0.393885298244174	0.787770596488347	0.606114701755826
97	0.351348785919012	0.702697571838025	0.648651214080988
98	0.345966362093195	0.691932724186389	0.654033637906805
99	0.302924556222957	0.605849112445915	0.697075443777043
100	0.267724324349421	0.535448648698842	0.732275675650579
101	0.244142903667399	0.488285807334798	0.755857096332601
102	0.223135944225086	0.446271888450173	0.776864055774914
103	0.267391856634197	0.534783713268394	0.732608143365803
104	0.229952921661415	0.45990584332283	0.770047078338585
105	0.220250176676266	0.440500353352532	0.779749823323734
106	0.228157469069872	0.456314938139744	0.771842530930128
107	0.207082813632429	0.414165627264857	0.792917186367571
108	0.184651113378157	0.369302226756314	0.815348886621843
109	0.181686400900765	0.363372801801531	0.818313599099235
110	0.178696108718979	0.357392217437959	0.821303891281021
111	0.16362433311563	0.327248666231261	0.83637566688437
112	0.141821339392529	0.283642678785059	0.858178660607471
113	0.170193709578197	0.340387419156393	0.829806290421803
114	0.145959848881839	0.291919697763679	0.854040151118161
115	0.162663304149531	0.325326608299061	0.837336695850469
116	0.173453663456228	0.346907326912457	0.826546336543772
117	0.15183057530422	0.303661150608441	0.84816942469578
118	0.141466877122909	0.282933754245818	0.858533122877091
119	0.132216885131242	0.264433770262484	0.867783114868758
120	0.141446284886189	0.282892569772378	0.858553715113811
121	0.117437523326182	0.234875046652364	0.882562476673818
122	0.110680599788307	0.221361199576614	0.889319400211693
123	0.11172178770917	0.22344357541834	0.88827821229083
124	0.0898542512270369	0.179708502454074	0.910145748772963
125	0.070353138643834	0.140706277287668	0.929646861356166
126	0.0538009952896699	0.10760199057934	0.94619900471033
127	0.0402797452182114	0.0805594904364228	0.959720254781789
128	0.0403444723897574	0.0806889447795148	0.959655527610243
129	0.0365347844799882	0.0730695689599763	0.963465215520012
130	0.0364485540812048	0.0728971081624095	0.963551445918795
131	0.042440443678322	0.084880887356644	0.957559556321678
132	0.0473908095853821	0.0947816191707642	0.952609190414618
133	0.105307336790227	0.210614673580453	0.894692663209773
134	0.110389826855342	0.220779653710684	0.889610173144658
135	0.0864300072910186	0.172860014582037	0.913569992708981
136	0.0673691324462829	0.134738264892566	0.932630867553717
137	0.0575615097080317	0.115123019416063	0.942438490291968
138	0.0517306537454477	0.103461307490895	0.948269346254552
139	0.0537768595489765	0.107553719097953	0.946223140451024
140	0.0384496259744711	0.0768992519489422	0.961550374025529
141	0.506937450415609	0.986125099168783	0.493062549584391
142	0.455506117344109	0.911012234688218	0.544493882655891
143	0.418522953324838	0.837045906649675	0.581477046675162
144	0.337535639395235	0.675071278790469	0.662464360604765
145	0.274912826135168	0.549825652270337	0.725087173864831
146	0.287991621386678	0.575983242773355	0.712008378613322
147	0.412402217434534	0.824804434869067	0.587597782565466
148	0.645905039970212	0.708189920059575	0.354094960029788
149	0.530417741267332	0.939164517465336	0.469582258732668
150	0.403979077024434	0.807958154048868	0.596020922975566
151	0.736598204484033	0.526803591031934	0.263401795515967
152	0.623383480732702	0.753233038534596	0.376616519267298

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	7	0.048951048951049	OK