Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.71929234722637 + 0.00370823691652482Month[t] + 0.115337834651046Connected[t] -0.0237824859863305Separate[t] + 0.545418067796176Software[t] + 0.0629108169082979Happiness[t] -0.0769181848205586Depression[t] + 0.00132799497241473Belonging[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)	5.71929234722637	3.711765	1.5409	0.125404	0.062702
Month	0.00370823691652482	0.305395	0.0121	0.990328	0.495164
Connected	0.115337834651046	0.04723	2.4421	0.015736	0.007868
Separate	-0.0237824859863305	0.045119	-0.5271	0.598879	0.29944
Software	0.545418067796176	0.069052	7.8986	0	0
Happiness	0.0629108169082979	0.076446	0.8229	0.411814	0.205907
Depression	-0.0769181848205586	0.056487	-1.3617	0.175285	0.087643
Belonging	0.00132799497241473	0.014562	0.0912	0.927457	0.463728

Multiple Linear Regression - Regression Statistics
Multiple R	0.594915621478916
R-squared	0.353924596679645
Adjusted R-squared	0.324557532892356
F-TEST (value)	12.0517529175946
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	3.22575299804839e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85431506425261
Sum Squared Residuals	529.526591057182

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.150916998649	-3.150916998649
2	16	15.8899034640121	0.110096535987873
3	19	16.2644975931104	2.73550240688962
4	15	11.7367129710903	3.26328702890968
5	14	15.3768545646713	-1.37685456467127
6	13	14.8669393709709	-1.86693937097088
7	19	15.3175368830456	3.68246311695439
8	15	16.5947273127324	-1.59472731273243
9	14	15.8902103643229	-1.89021036432286
10	15	12.433593769721	2.56640623027899
11	16	15.2576414506566	0.742358549343408
12	16	16.2929125881352	-0.292912588135208
13	16	15.4124450601738	0.587554939826231
14	16	15.3481365206986	0.651863479301399
15	17	17.3388824771519	-0.33888247715188
16	15	15.0845925219422	-0.0845925219421735
17	15	14.5014661254714	0.498533874528616
18	20	16.1170339542758	3.88296604572419
19	18	15.5432675758884	2.45673242411161
20	16	15.3097868315932	0.690213168406757
21	16	15.3398689753024	0.660131024697583
22	16	14.841367158263	1.15863284173696
23	19	16.4669873921155	2.53301260788452
24	16	14.8446910877218	1.15530891227818
25	17	14.7361565115115	2.26384348848852
26	17	16.7910863165385	0.208913683461481
27	16	14.7880228507631	1.21197714923692
28	15	16.1333263081163	-1.13332630811625
29	16	15.2894010729498	0.710598927050188
30	14	14.1245697444993	-0.12456974449931
31	15	15.6277955645353	-0.627795564535293
32	12	12.2048725818701	-0.204872581870055
33	14	15.1316796562262	-1.13167965622623
34	16	15.5483314879517	0.4516685120483
35	14	15.4847817535825	-1.48478175358245
36	7	12.9620968603426	-5.96209686034263
37	10	10.7442123645819	-0.744212364581872
38	14	15.7799549817372	-1.77995498173716
39	16	14.2156169538799	1.78438304612006
40	16	14.5991397573735	1.40086024262654
41	16	15.0629777061611	0.937022293838894
42	14	15.4636657395919	-1.46366573959191
43	20	18.0186749820736	1.9813250179264
44	14	14.2059802866519	-0.205980286651874
45	14	14.9242366895294	-0.924236689529389
46	11	15.5151824070446	-4.51518240704455
47	14	16.6361403875446	-2.63614038754464
48	15	14.9469710887117	0.0530289112882635
49	16	15.0146755482815	0.985324451718502
50	14	15.9908216679192	-1.99082166791921
51	16	16.5086025303155	-0.50860253031551
52	14	14.0770557990605	-0.0770557990605449
53	12	14.5948273067971	-2.59482730679712
54	16	15.6212641751819	0.378735824818148
55	9	11.4020214288624	-2.40202142886242
56	14	12.6532068704596	1.34679312954045
57	16	16.092162616709	-0.0921626167089528
58	16	15.1742502277655	0.825749772234471
59	15	15.2462871994941	-0.246287199494094
60	16	14.1291835253485	1.87081647465155
61	12	11.4001249583556	0.59987504164436
62	16	15.8689945010708	0.131005498929184
63	16	16.3488751782561	-0.34887517825606
64	14	14.3720119146043	-0.372011914604327
65	16	15.5010584219726	0.498941578027352
66	17	15.8929295628843	1.1070704371157
67	18	16.1840602156753	1.81593978432468
68	18	14.5028365980892	3.49716340191084
69	12	15.8756571761026	-3.87565717610264
70	16	15.4167030804714	0.583296919528627
71	10	13.6161781771936	-3.61617817719357
72	14	14.3522238955862	-0.352223895586202
73	18	16.4374905339296	1.56250946607044
74	18	17.0660955153538	0.933904484646224
75	16	15.6640429509149	0.335957049085067
76	17	13.8495621874602	3.15043781253978
77	16	16.3968646311792	-0.39686463117921
78	16	14.5420659056639	1.45793409433614
79	13	14.8395752984319	-1.83957529843191
80	16	16.1240529753367	-0.124052975336746
81	16	15.4538444013414	0.546155598658564
82	20	15.9423880160535	4.05761198394651
83	16	15.803949994519	0.196050005481004
84	15	15.9645678601579	-0.964567860157861
85	15	14.7544393212394	0.245560678760587
86	16	14.2625175191865	1.73748248081351
87	14	14.1637835637184	-0.163783563718368
88	16	15.3483004218611	0.651699578138907
89	16	14.6209287592734	1.37907124072662
90	15	14.1638533362562	0.836146663743833
91	12	13.5509318229918	-1.55093182299181
92	17	17.0645478052192	-0.0645478052192257
93	16	15.4091152811259	0.590884718874072
94	15	15.1621668833077	-0.162166883307746
95	13	15.0876125246316	-2.08761252463161
96	16	15.1192740855361	0.880725914463931
97	16	15.8977929691763	0.102207030823709
98	16	14.1029394853059	1.89706051469406
99	16	16.0912383356797	-0.0912383356797046
100	14	14.3206046310014	-0.320604631001352
101	16	17.3201255439089	-1.32012554390893
102	16	14.8122688134736	1.1877311865264
103	20	17.406290224619	2.593709775381
104	15	14.7144411845103	0.285558815489725
105	16	14.4524879514835	1.54751204851653
106	13	15.3489208631333	-2.34892086313326
107	17	16.113242892574	0.886757107425952
108	16	15.9099847367087	0.0900152632913011
109	16	14.6227956253506	1.37720437464936
110	12	12.3791231716546	-0.379123171654591
111	16	14.9286252998165	1.07137470018347
112	16	15.8193963438132	0.180603656186811
113	17	14.5603063898977	2.4396936101023
114	13	14.4394046067937	-1.43940460679367
115	12	14.979754857313	-2.97975485731302
116	18	16.7048687182229	1.29513128177712
117	14	15.5772672795119	-1.57726727951195
118	14	13.0636808795613	0.936319120438693
119	13	15.0098544225403	-2.00985442254026
120	16	15.6745579631027	0.325442036897306
121	13	14.3550387832414	-1.35503878324143
122	16	15.6849798174253	0.315020182574723
123	13	15.9724660663618	-2.97246606636182
124	16	17.1852374731097	-1.18523747310974
125	15	16.1102069292348	-1.11020692923478
126	16	16.8049487595703	-0.804948759570269
127	15	15.5213493505755	-0.521349350575512
128	17	16.3018949005228	0.698105099477149
129	15	14.0718894555309	0.928110544469072
130	12	15.0473171263583	-3.04731712635832
131	16	14.1825722954611	1.81742770453889
132	10	13.3398746047591	-3.33987460475915
133	16	14.1300166816034	1.86998331839655
134	12	14.0328295726609	-2.03282957266093
135	14	15.7840726082903	-1.78407260829032
136	15	15.3411242159586	-0.34112421595857
137	13	12.365994468716	0.634005531283958
138	15	14.732633363254	0.267366636745974
139	11	13.3713431817359	-2.37134318173592
140	12	13.5304928468453	-1.53049284684526
141	8	13.3946772462758	-5.39467724627584
142	16	13.2481175779885	2.75188242201147
143	15	13.3579379032811	1.64206209671887
144	17	16.6373345498412	0.362665450158795
145	16	14.9073488073001	1.09265119269992
146	10	14.2746401692781	-4.27464016927815
147	18	16.079975655534	1.92002434446596
148	13	15.3691463635444	-2.36914636354438
149	16	15.2633745660075	0.73662543399251
150	13	13.1426174613516	-0.142617461351575
151	10	13.226056379579	-3.22605637957902
152	15	16.4261897522707	-1.42618975227075
153	16	14.0914862874014	1.90851371259861
154	16	12.0657176055551	3.93428239444488
155	14	12.5443224416931	1.45567755830692
156	10	12.7217994006389	-2.72179940063894
157	17	17.0645478052192	-0.0645478052192257
158	13	11.7352703528329	1.26472964716712
159	15	14.0718894555309	0.928110544469072
160	16	15.1535488228282	0.846451177171778
161	12	12.4600970118853	-0.460097011885285
162	13	12.8638174571642	0.13618254283576

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.44566459166113	0.89132918332226	0.55433540833887
12	0.902512738029383	0.194974523941234	0.0974872619706172
13	0.842568943534914	0.314862112930172	0.157431056465086
14	0.785161188662643	0.429677622674715	0.214838811337357
15	0.790133495989355	0.41973300802129	0.209866504010645
16	0.757246889457188	0.485506221085624	0.242753110542812
17	0.680672993038667	0.638654013922667	0.319327006961333
18	0.916676819385326	0.166646361229348	0.0833231806146739
19	0.920016533162899	0.159966933674202	0.0799834668371011
20	0.888606023332602	0.222787953334796	0.111393976667398
21	0.852863435020865	0.29427312995827	0.147136564979135
22	0.806151694275744	0.387696611448512	0.193848305724256
23	0.824039099173889	0.351921801652222	0.175960900826111
24	0.781111840238877	0.437776319522246	0.218888159761123
25	0.76975901066236	0.460481978675281	0.23024098933764
26	0.715888192149941	0.568223615700118	0.284111807850059
27	0.662882118407169	0.674235763185662	0.337117881592831
28	0.63532397343275	0.7293520531345	0.36467602656725
29	0.574757020387934	0.850485959224133	0.425242979612066
30	0.551842472445245	0.896315055109509	0.448157527554755
31	0.48927301448046	0.978546028960921	0.51072698551954
32	0.467583956102826	0.935167912205652	0.532416043897174
33	0.439986259811044	0.879972519622087	0.560013740188956
34	0.382305822268832	0.764611644537664	0.617694177731168
35	0.361698987064282	0.723397974128564	0.638301012935718
36	0.857063957975968	0.285872084048063	0.142936042024032
37	0.846699172419454	0.306601655161092	0.153300827580546
38	0.842378743098802	0.315242513802397	0.157621256901198
39	0.860814901665071	0.278370196669858	0.139185098334929
40	0.845587928251044	0.308824143497912	0.154412071748956
41	0.820203596253642	0.359592807492715	0.179796403746358
42	0.804550188136492	0.390899623727016	0.195449811863508
43	0.817798821761134	0.364402356477732	0.182201178238866
44	0.78535643354009	0.42928713291982	0.21464356645991
45	0.756187256660759	0.487625486678483	0.243812743339241
46	0.910854400438255	0.178291199123491	0.0891455995617453
47	0.927758705510476	0.144482588979049	0.0722412944895244
48	0.908442458308541	0.183115083382919	0.0915575416914594
49	0.891859415318041	0.216281169363919	0.108140584681959
50	0.889835164037423	0.220329671925154	0.110164835962577
51	0.864544411930556	0.270911176138888	0.135455588069444
52	0.835197100801606	0.329605798396787	0.164802899198393
53	0.856940681907615	0.28611863618477	0.143059318092385
54	0.828239608269306	0.343520783461387	0.171760391730694
55	0.844105864421298	0.311788271157403	0.155894135578702
56	0.824763672787665	0.350472654424669	0.175236327212334
57	0.792931758974841	0.414136482050318	0.207068241025159
58	0.770807146143031	0.458385707713938	0.229192853856969
59	0.732377504011428	0.535244991977144	0.267622495988572
60	0.734836740275891	0.530326519448218	0.265163259724109
61	0.704024357205162	0.591951285589677	0.295975642794838
62	0.669691609419795	0.66061678116041	0.330308390580205
63	0.634841978364302	0.730316043271395	0.365158021635698
64	0.58919087360771	0.82161825278458	0.41080912639229
65	0.547225926149475	0.90554814770105	0.452774073850525
66	0.510870301343333	0.978259397313335	0.489129698656667
67	0.491082914359924	0.982165828719847	0.508917085640076
68	0.567792885996217	0.864414228007567	0.432207114003783
69	0.757139124907524	0.485721750184953	0.242860875092476
70	0.720577282696216	0.558845434607568	0.279422717303784
71	0.820805826407661	0.358388347184677	0.179194173592339
72	0.788867452114551	0.422265095770899	0.211132547885449
73	0.778689281388288	0.442621437223424	0.221310718611712
74	0.754015465756488	0.491969068487024	0.245984534243512
75	0.716582997247603	0.566834005504795	0.283417002752397
76	0.765768562159805	0.468462875680389	0.234231437840195
77	0.731505984148954	0.536988031702093	0.268494015851046
78	0.712339373062301	0.575321253875399	0.287660626937699
79	0.719764617460865	0.56047076507827	0.280235382539135
80	0.679101329525519	0.641797340948961	0.320898670474481
81	0.638816683115289	0.722366633769423	0.361183316884711
82	0.798776153612525	0.40244769277495	0.201223846387475
83	0.764567754277983	0.470864491444033	0.235432245722017
84	0.739720641309097	0.520558717381806	0.260279358690903
85	0.700508846456964	0.598982307086071	0.299491153543036
86	0.688694714674965	0.62261057065007	0.311305285325035
87	0.647060746604937	0.705878506790126	0.352939253395063
88	0.607758747873188	0.784482504253624	0.392241252126812
89	0.589350702622053	0.821298594755895	0.410649297377947
90	0.553622243610182	0.892755512779636	0.446377756389818
91	0.544005593737772	0.911988812524456	0.455994406262228
92	0.508984559247768	0.982030881504464	0.491015440752232
93	0.46619870121269	0.93239740242538	0.53380129878731
94	0.422069017372062	0.844138034744125	0.577930982627938
95	0.439900469522502	0.879800939045003	0.560099530477498
96	0.403074204500142	0.806148409000283	0.596925795499858
97	0.363376383615149	0.726752767230297	0.636623616384851
98	0.358685246084756	0.717370492169512	0.641314753915244
99	0.315643037935196	0.631286075870392	0.684356962064804
100	0.276500222957718	0.553000445915435	0.723499777042282
101	0.252209835674104	0.504419671348208	0.747790164325896
102	0.233511634585477	0.467023269170955	0.766488365414523
103	0.283312974381462	0.566625948762925	0.716687025618538
104	0.244268836449306	0.488537672898613	0.755731163550694
105	0.235279997166995	0.470559994333991	0.764720002833005
106	0.25280030502946	0.505600610058921	0.74719969497054
107	0.229732065096377	0.459464130192753	0.770267934903623
108	0.206341814537205	0.412683629074409	0.793658185462795
109	0.199694971395793	0.399389942791586	0.800305028604207
110	0.186086169664231	0.372172339328463	0.813913830335769
111	0.164683578620002	0.329367157240003	0.835316421379998
112	0.138593536065283	0.277187072130565	0.861406463934717
113	0.158982936856715	0.31796587371343	0.841017063143285
114	0.13946753285381	0.27893506570762	0.86053246714619
115	0.180912931511857	0.361825863023713	0.819087068488143
116	0.170926806488724	0.341853612977448	0.829073193511276
117	0.148775556654088	0.297551113308176	0.851224443345912
118	0.128565408216469	0.257130816432937	0.871434591783531
119	0.131157665331951	0.262315330663903	0.868842334668049
120	0.120588976862898	0.241177953725796	0.879411023137102
121	0.102096119772378	0.204192239544756	0.897903880227622
122	0.0820433205125869	0.164086641025174	0.917956679487413
123	0.0918452109289133	0.183690421857827	0.908154789071087
124	0.0739572973767251	0.14791459475345	0.926042702623275
125	0.0601784844879688	0.120356968975938	0.939821515512031
126	0.0458817522104632	0.0917635044209264	0.954118247789537
127	0.0349997063475452	0.0699994126950903	0.965000293652455
128	0.0290348431410325	0.058069686282065	0.970965156858968
129	0.0222544241892894	0.0445088483785788	0.977745575810711
130	0.0304350104215716	0.0608700208431433	0.969564989578428
131	0.0264855572677969	0.0529711145355939	0.973514442732203
132	0.0409225210860413	0.0818450421720826	0.959077478913959
133	0.04534769740645	0.0906953948129001	0.95465230259355
134	0.0601388135114408	0.120277627022882	0.939861186488559
135	0.0479353510271083	0.0958707020542166	0.952064648972892
136	0.0341339365621184	0.0682678731242369	0.965866063437882
137	0.0236870831318333	0.0473741662636667	0.976312916868167
138	0.0157847995244273	0.0315695990488546	0.984215200475573
139	0.0315917205124339	0.0631834410248679	0.968408279487566
140	0.0276274642586305	0.055254928517261	0.97237253574137
141	0.641329306289722	0.717341387420555	0.358670693710278
142	0.577759441257935	0.844481117484129	0.422240558742065
143	0.497047728679737	0.994095457359474	0.502952271320263
144	0.429283515887124	0.858567031774248	0.570716484112876
145	0.342582137517059	0.685164275034119	0.657417862482941
146	0.427957235390165	0.85591447078033	0.572042764609835
147	0.351292022065936	0.702584044131872	0.648707977934064
148	0.703132654333426	0.593734691333147	0.296867345666574
149	0.622764238350283	0.754471523299435	0.377235761649717
150	0.477098436100699	0.954196872201398	0.522901563899301
151	0.829497038250652	0.341005923498695	0.170502961749347

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	0.0212765957446809	OK
10% type I error level	14	0.099290780141844	OK