Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 8.30902477474345 -0.194314216531235month[t] + 0.0878688544083917Connected[t] -0.0186290623075273Separate[t] + 0.526384521833668Software[t] + 0.0330239016323057Happiness[t] -0.0878998066468679Depression[t] -0.0263800243987676Belonging[t] + 0.0665541004569973Belonging_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)	8.30902477474345	2.987793	2.781	0.006105	0.003053
month	-0.194314216531235	0.175842	-1.105	0.270884	0.135442
Connected	0.0878688544083917	0.0435	2.02	0.045141	0.022571
Separate	-0.0186290623075273	0.041938	-0.4442	0.657527	0.328764
Software	0.526384521833668	0.06718	7.8354	0	0
Happiness	0.0330239016323057	0.071547	0.4616	0.645049	0.322524
Depression	-0.0878998066468679	0.053226	-1.6514	0.100713	0.050357
Belonging	-0.0263800243987676	0.047635	-0.5538	0.580536	0.290268
Belonging_Final	0.0665541004569973	0.074362	0.895	0.372203	0.186102

Multiple Linear Regression - Regression Statistics
Multiple R	0.614350882882494
R-squared	0.3774270072985
Adjusted R-squared	0.344660007682631
F-TEST (value)	11.5185098337694
F-TEST (DF numerator)	8
F-TEST (DF denominator)	152
p-value	1.03561603737035e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.72048569295026
Sum Squared Residuals	449.930794986276

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	15.9106566156035	-2.91065661560348
2	16	16.0134313486942	-0.0134313486942014
3	19	16.6268693387301	2.3731306612699
4	15	12.1304250113208	2.8695749886792
5	14	15.440554607555	-1.44055460755504
6	13	14.9692425096685	-1.96924250966853
7	19	15.3190947787557	3.68090522124431
8	15	16.8926606586762	-1.89266065867622
9	14	16.047245838977	-2.04724583897699
10	15	14.3167226731376	0.683277326862352
11	16	15.4450948364553	0.554905163544694
12	16	16.1027214035989	-0.102721403598859
13	16	15.6033628758183	0.396637124181715
14	16	15.1389566509821	0.861043349017868
15	17	17.6140989080067	-0.61409890800668
16	15	15.171498904006	-0.171498904006005
17	15	14.6393608296137	0.360639170386312
18	20	16.3749109200192	3.62508907998084
19	18	15.6931406339733	2.30685936602671
20	16	15.3704556006238	0.629544399376221
21	16	15.2944894257073	0.70551057429269
22	16	15.2904490289841	0.709550971015948
23	19	16.3014775046786	2.69852249532141
24	16	15.0259506263591	0.974049373640948
25	17	16.4942059961563	0.505794003843742
26	17	16.9334462711496	0.0665537288503808
27	16	14.7537326405836	1.24626735941644
28	15	16.3919732814743	-1.39197328147429
29	16	15.3637780761843	0.636221923815675
30	14	14.5783082549725	-0.578308254972471
31	15	15.9112777798797	-0.911277779879696
32	12	12.4301796948818	-0.430179694881805
33	14	15.1689415744951	-1.16894157449507
34	16	16.0815368590236	-0.0815368590235811
35	14	15.4682678187539	-1.46826781875394
36	10	13.3225154244555	-3.32251542445548
37	10	12.6081325303153	-2.6081325303153
38	14	15.8547362225806	-1.85473622258061
39	16	14.5337529186051	1.46624708139491
40	16	14.8100560828745	1.18994391712545
41	16	15.2261326432875	0.773867356712508
42	14	15.4972568049643	-1.49725680496433
43	20	17.7957990976348	2.20420090236521
44	14	14.1417982644068	-0.14179826440685
45	14	15.1449559542551	-1.1449559542551
46	11	15.5648293110232	-4.56482931102317
47	14	16.8670636457191	-2.86706364571911
48	15	15.228158085637	-0.228158085637033
49	16	14.89186059888	1.10813940111998
50	14	16.0985431004061	-2.09854310040611
51	16	16.711882128061	-0.71188212806102
52	14	14.2034132295003	-0.20341322950033
53	12	14.6554819509848	-2.65548195098477
54	16	16.0801347102979	-0.0801347102978759
55	9	11.3768735916288	-2.37687359162877
56	14	12.4672923680577	1.53270763194231
57	16	15.9044917296702	0.0955082703298426
58	16	15.3293763799618	0.670623620038212
59	15	15.1899870113008	-0.189987011300805
60	16	14.1647639452274	1.83523605477263
61	12	11.4028111515181	0.597188848481913
62	16	15.7263109038154	0.273689096184587
63	16	16.4634498924517	-0.463449892451734
64	14	14.1511828307253	-0.151182830725274
65	16	15.2169620254099	0.78303797459014
66	17	16.109106105883	0.890893894117039
67	18	16.1696843068749	1.83031569312506
68	18	14.4336587770021	3.56634122299792
69	12	15.5839950193802	-3.58399501938015
70	16	15.3084432374577	0.691556762542319
71	10	13.7258849303818	-3.7258849303818
72	14	14.1537917925369	-0.153791792536895
73	18	16.4067494187052	1.59325058129479
74	18	16.7687936207936	1.23120637920644
75	16	15.741249060475	0.258750939524981
76	17	13.8482962224242	3.15170377757579
77	16	16.2046871540778	-0.204687154077842
78	16	14.6093252127696	1.39067478723044
79	13	15.0147657441858	-2.01476574418582
80	16	15.840636261188	0.159363738811995
81	16	15.4174501687293	0.582549831270658
82	16	15.8948445232655	0.105155476734523
83	15	15.7285547132925	-0.728554713292542
84	15	14.8041070803328	0.195892919667153
85	16	14.3683170709281	1.63168292907187
86	14	14.084920072192	-0.0849200721920501
87	16	15.3313684272249	0.66863157277509
88	16	14.517141274502	1.48285872549797
89	15	14.2800061876958	0.719993812304152
90	12	13.711087230775	-1.71108723077503
91	17	16.7113768208618	0.288623179138225
92	16	15.3770030015123	0.622996998487712
93	15	15.1479588122791	-0.147958812279083
94	13	15.0200256877643	-2.02002568776426
95	16	14.9650922292029	1.03490777079711
96	16	15.8395063749895	0.160493625010468
97	16	14.1005357463492	1.89946425365078
98	16	15.952579666359	0.0474203336409659
99	14	14.4438521504968	-0.443852150496784
100	16	17.0760970670894	-1.07609706708942
101	16	14.8143254346411	1.18567456535888
102	20	17.4277497864828	2.57225021351719
103	15	14.8968575997743	0.103142400225733
104	16	14.4622335271957	1.53776647280425
105	13	15.1631163019509	-2.16311630195087
106	17	16.0541415783644	0.945858421635566
107	16	15.6363926776587	0.363607322341297
108	16	14.4508798417076	1.5491201582924
109	12	11.8559857165451	0.144014283454919
110	16	14.9741325499968	1.02586745000324
111	16	15.6711515619344	0.328848438065609
112	17	14.8112561456779	2.18874385432213
113	13	13.0323341190134	-0.0323341190134189
114	12	14.7159665226827	-2.71596652268274
115	18	16.5776543815822	1.42234561841777
116	14	15.172578207257	-1.17257820725698
117	14	13.1055790469869	0.894420953013109
118	13	14.8557400464931	-1.85574004649308
119	16	15.5866637317468	0.41333626825318
120	13	14.0217487406007	-1.02174874060075
121	16	15.5238610776061	0.476138922393869
122	13	15.8752255969858	-2.87522559698578
123	16	16.9995158824779	-0.99951588247786
124	15	16.1979983947302	-1.1979983947302
125	16	16.6829452929973	-0.682945292997297
126	15	15.410650143143	-0.410650143142976
127	17	15.7601611729255	1.23983882707451
128	15	14.1891966476278	0.81080335237223
129	12	14.8041286826874	-2.80412868268745
130	16	14.0171612311425	1.9828387688575
131	10	13.2862974523789	-3.28629745237894
132	16	13.854710638859	2.14528936114095
133	12	13.8997091900125	-1.89970919001254
134	14	15.5813535605636	-1.58135356056359
135	15	15.3425935724405	-0.342593572440484
136	13	12.0728490046971	0.927150995302887
137	15	14.6623900140597	0.337609985940259
138	11	13.2812002727918	-2.28120027279178
139	12	13.3269694615348	-1.3269694615348
140	11	13.2639558719791	-2.26395587197906
141	16	12.9491842457452	3.05081575425481
142	15	13.3319416231472	1.66805837685275
143	17	16.7176068409099	0.282393159090101
144	16	14.7280517736962	1.27194822630382
145	10	14.1940357190174	-4.19403571901742
146	18	15.9201314490299	2.07986855097013
147	13	15.1476349555209	-2.14763495552093
148	16	15.2348608020255	0.765139197974495
149	13	13.1511746281678	-0.151174628167822
150	10	13.227393079941	-3.22739307994095
151	15	15.994818558711	-0.994818558710952
152	16	13.7816863243216	2.21831367567837
153	16	12.0492598014239	3.95074019857611
154	14	12.7569963411684	1.24300365883165
155	10	12.8885472532921	-2.88854725329214
156	17	16.5170626043305	0.48293739566946
157	13	11.725745525524	1.27425447447605
158	15	14.1891966476278	0.81080335237223
159	16	15.1697587243232	0.830241275676788
160	12	12.4124168142491	-0.412416814249145
161	13	12.9637201267606	0.03627987323945

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.307196771301983	0.614393542603966	0.692803228698017
13	0.222103210609627	0.444206421219254	0.777896789390373
14	0.255991172118825	0.51198234423765	0.744008827881175
15	0.1660102009042	0.3320204018084	0.8339897990958
16	0.119962011282294	0.239924022564589	0.880037988717706
17	0.172337355661613	0.344674711323225	0.827662644338387
18	0.490469003326842	0.980938006653683	0.509530996673158
19	0.411707620641079	0.823415241282158	0.588292379358921
20	0.325143200644285	0.65028640128857	0.674856799355715
21	0.256497099503886	0.512994199007772	0.743502900496114
22	0.254078022000778	0.508156044001556	0.745921977999222
23	0.514347131917243	0.971305736165514	0.485652868082757
24	0.59513566738638	0.809728665227239	0.40486433261362
25	0.564728631593547	0.870542736812907	0.435271368406453
26	0.542006500801069	0.915986998397862	0.457993499198931
27	0.627378306412067	0.745243387175866	0.372621693587933
28	0.638727634777167	0.722544730445665	0.361272365222833
29	0.621489033040349	0.757021933919303	0.378510966959651
30	0.65369773129126	0.692604537417481	0.346302268708741
31	0.600249050740977	0.799501898518047	0.399750949259023
32	0.5548696035211	0.890260792957801	0.4451303964789
33	0.522950467978966	0.954099064042067	0.477049532021034
34	0.474814551414056	0.949629102828112	0.525185448585944
35	0.424303145918717	0.848606291837433	0.575696854081283
36	0.59723651424434	0.805526971511319	0.40276348575566
37	0.64170135956969	0.71659728086062	0.35829864043031
38	0.638866345650777	0.722267308698445	0.361133654349223
39	0.665819516243217	0.668360967513565	0.334180483756783
40	0.639886541981425	0.720226916037149	0.360113458018574
41	0.595766535999099	0.808466928001802	0.404233464000901
42	0.559524057086793	0.880951885826415	0.440475942913207
43	0.587906056028252	0.824187887943495	0.412093943971748
44	0.533812850044656	0.932374299910689	0.466187149955345
45	0.50374011955013	0.99251976089974	0.49625988044987
46	0.748088790142508	0.503822419714984	0.251911209857492
47	0.861648039964659	0.276703920070682	0.138351960035341
48	0.831281562794165	0.337436874411669	0.168718437205835
49	0.820941163639549	0.358117672720902	0.179058836360451
50	0.827306525021963	0.345386949956074	0.172693474978037
51	0.79777766173186	0.40444467653628	0.20222233826814
52	0.76221575341301	0.475568493173981	0.23778424658699
53	0.799804807742399	0.400390384515202	0.200195192257601
54	0.762724995071809	0.474550009856381	0.237275004928191
55	0.777518079743144	0.444963840513712	0.222481920256856
56	0.776192640472724	0.447614719054552	0.223807359527276
57	0.739796838730488	0.520406322539023	0.260203161269512
58	0.718254089462946	0.563491821074108	0.281745910537054
59	0.684839688538876	0.630320622922248	0.315160311461124
60	0.686993762712411	0.626012474575178	0.313006237287589
61	0.649584226133823	0.700831547732354	0.350415773866177
62	0.606359463509292	0.787281072981415	0.393640536490708
63	0.566857190325897	0.866285619348207	0.433142809674103
64	0.52008401064292	0.95983197871416	0.47991598935708
65	0.476784963692374	0.953569927384749	0.523215036307626
66	0.442778973410302	0.885557946820604	0.557221026589698
67	0.4329878390669	0.8659756781338	0.5670121609331
68	0.576767292960827	0.846465414078345	0.423232707039173
69	0.743896243784378	0.512207512431245	0.256103756215622
70	0.706544854447648	0.586910291104704	0.293455145552352
71	0.86451883920199	0.270962321596021	0.13548116079801
72	0.83783901521871	0.32432196956258	0.16216098478129
73	0.829317122757329	0.341365754485341	0.170682877242671
74	0.811752283248286	0.376495433503429	0.188247716751715
75	0.779235362896145	0.44152927420771	0.220764637103855
76	0.825805185133696	0.348389629732608	0.174194814866304
77	0.797173774672618	0.405652450654763	0.202826225327382
78	0.776811012817427	0.446377974365146	0.223188987182573
79	0.809528402194542	0.380943195610915	0.190471597805458
80	0.776919143812568	0.446161712374864	0.223080856187432
81	0.742509242766333	0.514981514467334	0.257490757233667
82	0.704286364249054	0.591427271501893	0.295713635750946
83	0.678223565749051	0.643552868501898	0.321776434250949
84	0.635754752647023	0.728490494705953	0.364245247352977
85	0.611619651766963	0.776760696466074	0.388380348233037
86	0.569094605751966	0.861810788496069	0.430905394248034
87	0.523346550235095	0.95330689952981	0.476653449764905
88	0.495423051303857	0.990846102607713	0.504576948696143
89	0.455056082525835	0.910112165051671	0.544943917474165
90	0.480918362212567	0.961836724425133	0.519081637787433
91	0.43725346093559	0.874506921871179	0.56274653906441
92	0.394197307591063	0.788394615182127	0.605802692408937
93	0.353897164778712	0.707794329557424	0.646102835221288
94	0.41130536106251	0.82261072212502	0.58869463893749
95	0.37096191698277	0.74192383396554	0.62903808301723
96	0.327643715378726	0.655287430757451	0.672356284621274
97	0.309342230004418	0.618684460008836	0.690657769995582
98	0.270542927849641	0.541085855699283	0.729457072150359
99	0.259072258209017	0.518144516418035	0.740927741790983
100	0.257871731150902	0.515743462301804	0.742128268849098
101	0.224290097122852	0.448580194245703	0.775709902877148
102	0.240827038774091	0.481654077548182	0.759172961225909
103	0.210647377722274	0.421294755444547	0.789352622277726
104	0.188214881442401	0.376429762884801	0.811785118557599
105	0.226781176866372	0.453562353732744	0.773218823133628
106	0.19184383632655	0.3836876726531	0.80815616367345
107	0.159679377391583	0.319358754783167	0.840320622608417
108	0.137358214019118	0.274716428038236	0.862641785980882
109	0.131397378804303	0.262794757608606	0.868602621195697
110	0.113768606657605	0.22753721331521	0.886231393342395
111	0.0938274901977456	0.187654980395491	0.906172509802254
112	0.101635768364613	0.203271536729225	0.898364231635387
113	0.0889630583914974	0.177926116782995	0.911036941608503
114	0.133619073116672	0.267238146233345	0.866380926883328
115	0.13028221506161	0.260564430123221	0.869717784938389
116	0.114177220094071	0.228354440188142	0.885822779905929
117	0.0998804143310231	0.199760828662046	0.900119585668977
118	0.113072112036434	0.226144224072868	0.886927887963566
119	0.108669868884849	0.217339737769699	0.891330131115151
120	0.0945679224088274	0.189135844817655	0.905432077591173
121	0.0761408177163817	0.152281635432763	0.923859182283618
122	0.0938522371842998	0.1877044743686	0.9061477628157
123	0.0762040199633938	0.152408039926788	0.923795980036606
124	0.0642952965476208	0.128590593095242	0.935704703452379
125	0.0499806719006146	0.0999613438012292	0.950019328099385
126	0.037833538515733	0.075667077031466	0.962166461484267
127	0.0308471539686173	0.0616943079372346	0.969152846031383
128	0.0253923576433861	0.0507847152867722	0.974607642356614
129	0.039521151539674	0.0790423030793481	0.960478848460326
130	0.0333124678654542	0.0666249357309084	0.966687532134546
131	0.0640614915110457	0.128122983022091	0.935938508488954
132	0.0674466537219315	0.134893307443863	0.932553346278069
133	0.102060986010354	0.204121972020707	0.897939013989646
134	0.0847140245677424	0.169428049135485	0.915285975432258
135	0.0611398350963812	0.122279670192762	0.938860164903619
136	0.0434154595333261	0.0868309190666522	0.956584540466674
137	0.0327393045164152	0.0654786090328305	0.967260695483585
138	0.0681209652714207	0.136241930542841	0.931879034728579
139	0.0662492184964537	0.132498436992907	0.933750781503546
140	0.295162370582	0.590324741164	0.704837629418
141	0.253607423061611	0.507214846123222	0.746392576938389
142	0.194945753131677	0.389891506263354	0.805054246868323
143	0.137821434166617	0.275642868333234	0.862178565833383
144	0.0941275179412897	0.188255035882579	0.90587248205871
145	0.181054411824131	0.362108823648261	0.818945588175869
146	0.143463665792196	0.286927331584392	0.856536334207804
147	0.394747314957868	0.789494629915735	0.605252685042132
148	0.290922657446945	0.581845314893891	0.709077342553055
149	0.173170377164792	0.346340754329584	0.826829622835208

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	8	0.0579710144927536	OK