Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 6.72660289825788 -0.145027925413223Month[t] + 0.111737350843465Connected[t] -0.0178041165883361Separate[t] + 0.543286550500503Software[t] + 0.0595543607156345Happines[t] -0.0671677203741168Depression[t] + 0.0393791446826237Belonging[t] -0.0558546409917482Belonging_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)	6.72660289825788	3.666872	1.8344	0.068533	0.034267
Month	-0.145027925413223	0.307834	-0.4711	0.638223	0.319112
Connected	0.111737350843465	0.047265	2.364	0.019332	0.009666
Separate	-0.0178041165883361	0.045333	-0.3927	0.69506	0.34753
Software	0.543286550500503	0.069143	7.8574	0	0
Happines	0.0595543607156345	0.076576	0.7777	0.437935	0.218967
Depression	-0.0671677203741168	0.057116	-1.176	0.241425	0.120713
Belonging	0.0393791446826237	0.045299	0.8693	0.386038	0.193019
Belonging_Final	-0.0558546409917482	0.064579	-0.8649	0.388446	0.194223

Multiple Linear Regression - Regression Statistics
Multiple R	0.598031762955037
R-squared	0.357641989503109
Adjusted R-squared	0.324054642549023
F-TEST (value)	10.6481166848935
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	7.8017592386459e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85500523675172
Sum Squared Residuals	526.479797541575

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.1729596917428	-3.17295969174284
2	16	16.0566818980054	-0.056681898005418
3	19	16.2675047817927	2.7324952182073
4	15	11.8143949984466	3.18560500155345
5	14	15.5902434948075	-1.59024349480749
6	13	14.9610759800279	-1.96107598002795
7	19	15.1231633974743	3.87683660252567
8	15	16.6938552999615	-1.69385529996147
9	14	15.9624267941967	-1.96242679419674
10	15	12.5265783385316	2.47342166146843
11	16	15.2631307421134	0.736869257886601
12	16	16.2354565926443	-0.235456592644348
13	16	15.4442010006318	0.555798999368211
14	16	15.3744962239293	0.625503776070708
15	17	17.4652209950782	-0.465220995078202
16	15	15.0954858357912	-0.0954858357911987
17	15	14.6404199454313	0.35958005456874
18	20	16.2330464038068	3.76695359619319
19	18	15.4710127028867	2.52898729711326
20	16	15.2601872495023	0.739812750497703
21	16	15.2963507232743	0.7036492767257
22	16	14.7876479548698	1.21235204513025
23	19	16.4762960442473	2.52370395575274
24	16	14.7503396881897	1.24966031181026
25	17	14.854699795297	2.14530020470297
26	17	16.9522195908721	0.04778040912787
27	16	15.058707904886	0.941292095114009
28	15	16.1417455644831	-1.14174556448308
29	16	15.551668672077	0.448331327922961
30	14	14.028467248914	-0.0284672489139643
31	15	15.6679472413163	-0.667947241316262
32	12	12.2647822593152	-0.264782259315194
33	14	15.1714880797594	-1.17148807975943
34	16	15.5272758168595	0.472724183140482
35	14	15.7344790765887	-1.73447907658874
36	7	12.9662598799048	-5.96625987990478
37	10	10.976425670033	-0.976425670032954
38	14	15.8572714345608	-1.8572714345608
39	16	14.3069210734496	1.69307892655042
40	16	14.6512840536598	1.34871594634021
41	16	15.1081711141783	0.89182888582168
42	14	15.66067759058	-1.66067759058002
43	20	17.9457360968626	2.05426390313744
44	14	14.2680144027523	-0.268014402752319
45	14	14.9487946080421	-0.948794608042119
46	11	15.6774418779183	-4.67744187791831
47	14	16.4824362802448	-2.48243628024482
48	15	15.0180890910709	-0.0180890910709306
49	16	15.3165619364672	0.683438063532846
50	14	16.0924165485259	-2.09241654852591
51	16	16.585288854401	-0.585288854401007
52	14	14.1933188227318	-0.193318822731821
53	12	14.7891929545692	-2.7891929545692
54	16	15.2530879524187	0.746912047581305
55	9	11.5895742619802	-2.58957426198021
56	14	12.7005707584357	1.29942924156429
57	16	16.1734941629088	-0.173494162908752
58	16	15.1571470854518	0.842852914548191
59	15	15.4067405331053	-0.406740533105331
60	16	14.2216114781761	1.77838852182389
61	12	11.5107893185588	0.4892106814412
62	16	16.0683988843404	-0.0683988843403711
63	16	16.5711097439479	-0.57110974394791
64	14	14.4478520381336	-0.447852038133557
65	16	15.4913381959893	0.508661804010697
66	17	15.8612566154403	1.13874338455966
67	18	16.0481112498174	1.95188875018258
68	18	14.6171620423181	3.38283795768186
69	12	15.8198990726833	-3.81989907268326
70	16	15.372050602829	0.627949397170966
71	10	13.3690663582555	-3.36906635825549
72	14	14.2684017713942	-0.268401771394229
73	18	16.515867730425	1.48413226957499
74	18	17.1029994534871	0.897000546512945
75	16	15.6645988998654	0.335401100134618
76	17	13.8414555913689	3.15854440863112
77	16	16.3086128005127	-0.308612800512729
78	16	14.391530236478	1.60846976352203
79	13	14.7996415193312	-1.79964151933116
80	16	15.902300949525	0.0976990504749798
81	16	15.538256061712	0.461743938287966
82	20	16.7160547091708	3.28394529082917
83	16	15.6190835710896	0.380916428910379
84	15	15.9622935100719	-0.962293510071924
85	15	14.6877279423758	0.312272057624249
86	16	14.2122008118318	1.78779918816815
87	14	14.1776734361759	-0.177673436175863
88	16	15.2767693309397	0.723230669060289
89	16	14.5163752375909	1.48362476240909
90	15	14.1895402224683	0.810459777531687
91	12	13.4334201211109	-1.43342012111089
92	17	16.9283963449967	0.071603655003318
93	16	15.4596164503438	0.540383549656197
94	15	15.2471545534275	-0.24715455342753
95	13	15.1297148605019	-2.12971486050191
96	16	15.1651859301783	0.834814069821669
97	16	15.8055669243063	0.194433075693745
98	16	14.1219581894409	1.87804181055912
99	16	16.1069714270756	-0.106971427075588
100	14	14.2889758961938	-0.288975896193808
101	16	17.3075095656796	-1.30750956567963
102	16	14.7648011200522	1.23519887994775
103	20	17.3790573116424	2.62094268835763
104	15	14.4989373333051	0.501062666694898
105	16	14.5498639185842	1.45013608141581
106	13	15.3430686701328	-2.34306867013278
107	17	16.0003092181937	0.999690781806287
108	16	15.8954346823384	0.10456531766158
109	16	14.5231747110828	1.47682528891724
110	12	12.2555824310139	-0.255582431013856
111	16	14.9877225923086	1.01227740769141
112	16	15.8626920450025	0.13730795499751
113	17	14.526823389213	2.47317661078701
114	13	14.9487867706446	-1.94878677064459
115	12	14.8717438839947	-2.87174388399473
116	18	16.6111020888656	1.38889791113438
117	14	15.4909003398483	-1.49090033984834
118	14	12.9690379225762	1.03096207742384
119	13	14.9171818249732	-1.91718182497322
120	16	15.6991963963004	0.300803603699614
121	13	14.271463146807	-1.27146314680696
122	16	15.6391100039348	0.360889996065225
123	13	15.9904847850566	-2.9904847850566
124	16	17.063681418993	-1.06368141899296
125	15	15.9901429680502	-0.990142968050223
126	16	16.8230899988686	-0.823089998868603
127	15	15.4444142372619	-0.444414237261911
128	17	16.2717580211004	0.728241978899593
129	15	13.8343896554961	1.16561034450393
130	12	14.9735763911204	-2.97357639112037
131	16	14.1826346447073	1.8173653552927
132	10	13.3688625407631	-3.36886254076307
133	16	14.1178766300348	1.88212336996519
134	12	13.946519044578	-1.94651904457805
135	14	15.685533788122	-1.68553378812199
136	15	15.1363536736858	-0.136353673685839
137	13	12.2963689167051	0.703631083294902
138	15	14.4568057058504	0.543194294149639
139	11	13.1901414138795	-2.19014141387948
140	12	13.3686334702848	-1.36863347028476
141	8	13.4019311414391	-5.40193114143905
142	16	13.0977801782445	2.90221982175552
143	15	13.3844663089045	1.61553369109554
144	17	16.6086572220179	0.39134277798214
145	16	14.8570223154336	1.14297768456639
146	10	14.1869459371721	-4.1869459371721
147	18	15.948436875966	2.05156312403401
148	13	15.1995486095958	-2.19954860959579
149	16	15.1793596329329	0.820640367067149
150	13	13.0721447828683	-0.0721447828683166
151	10	13.1647767351569	-3.16477673515686
152	15	16.4914049685477	-1.49140496854767
153	16	14.1426553768389	1.85734462316106
154	16	12.038823577315	3.96117642268495
155	14	12.6483252688491	1.35167473115089
156	10	12.5461953289603	-2.54619532896025
157	17	16.9283963449967	0.071603655003318
158	13	11.6617102455882	1.33828975441176
159	15	13.8343896554961	1.16561034450393
160	16	15.1107725661797	0.889227433820318
161	12	12.5958166601353	-0.595816660135297
162	13	12.6281084404254	0.371891559574603

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.759259708980643	0.481480582038714	0.240740291019357
13	0.62210236903793	0.755795261924141	0.37789763096207
14	0.581953358451955	0.83609328309609	0.418046641548045
15	0.461949928212565	0.92389985642513	0.538050071787435
16	0.361662661527893	0.723325323055786	0.638337338472107
17	0.298558256163375	0.597116512326749	0.701441743836625
18	0.505888985410365	0.98822202917927	0.494111014589635
19	0.421732319153292	0.843464638306585	0.578267680846708
20	0.332581863630122	0.665163727260244	0.667418136369878
21	0.262620386607229	0.525240773214459	0.737379613392771
22	0.239477463188474	0.478954926376948	0.760522536811526
23	0.436377837715747	0.872755675431495	0.563622162284253
24	0.471610794763293	0.943221589526585	0.528389205236707
25	0.460151935894256	0.920303871788513	0.539848064105743
26	0.419407264024349	0.838814528048698	0.580592735975651
27	0.479667316662692	0.959334633325383	0.520332683337308
28	0.482768481230241	0.965536962460482	0.517231518769759
29	0.462912488159606	0.925824976319212	0.537087511840394
30	0.503985588088013	0.992028823823973	0.496014411911987
31	0.443112066680181	0.886224133360361	0.556887933319819
32	0.393870214306815	0.787740428613631	0.606129785693185
33	0.367244024385836	0.734488048771673	0.632755975614164
34	0.332627035916798	0.665254071833595	0.667372964083202
35	0.285402196927007	0.570804393854014	0.714597803072993
36	0.851367360232205	0.297265279535589	0.148632639767795
37	0.826136910241815	0.34772617951637	0.173863089758185
38	0.81910516467621	0.36178967064758	0.18089483532379
39	0.838893112226521	0.322213775546957	0.161106887773479
40	0.822082721858757	0.355834556282486	0.177917278141243
41	0.791908151420507	0.416183697158985	0.208091848579493
42	0.765811863368497	0.468376273263007	0.234188136631503
43	0.7908945793954	0.4182108412092	0.2091054206046
44	0.750298295538541	0.499403408922917	0.249701704461459
45	0.721815975703089	0.556368048593822	0.278184024296911
46	0.874005518120805	0.251988963758389	0.125994481879195
47	0.917855465071324	0.164289069857352	0.0821445349286758
48	0.896168318128747	0.207663363742506	0.103831681871253
49	0.88086389126789	0.23827221746422	0.11913610873211
50	0.879719977306089	0.240560045387823	0.120280022693911
51	0.85295354188149	0.294092916237019	0.14704645811851
52	0.821774717285569	0.356450565428862	0.178225282714431
53	0.841614379005381	0.316771241989239	0.158385620994619
54	0.826487816397066	0.347024367205869	0.173512183602934
55	0.844364061093971	0.311271877812058	0.155635938906029
56	0.817347236301712	0.365305527396576	0.182652763698288
57	0.784400754788769	0.431198490422463	0.215599245211231
58	0.759174315656741	0.481651368686517	0.240825684343259
59	0.724939020316229	0.550121959367542	0.275060979683771
60	0.715422789233389	0.569154421533222	0.284577210766611
61	0.677114019715176	0.645771960569649	0.322885980284824
62	0.635664720713904	0.728670558572191	0.364335279286096
63	0.602617019918712	0.794765960162576	0.397382980081288
64	0.561851682114712	0.876296635770575	0.438148317885288
65	0.518364275090322	0.963271449819356	0.481635724909678
66	0.473464821529311	0.946929643058622	0.526535178470689
67	0.458103692588917	0.916207385177834	0.541896307411083
68	0.509962931879029	0.980074136241943	0.490037068120971
69	0.734171933153731	0.531656133692538	0.265828066846269
70	0.696336047292943	0.607327905414113	0.303663952707057
71	0.815742168182648	0.368515663634703	0.184257831817352
72	0.78255090008497	0.434898199830061	0.21744909991503
73	0.772484316252926	0.455031367494148	0.227515683747074
74	0.75084613016675	0.498307739666501	0.249153869833251
75	0.712732275673303	0.574535448653395	0.287267724326697
76	0.761594496148495	0.476811007703011	0.238405503851505
77	0.727195359928285	0.54560928014343	0.272804640071715
78	0.71407326374111	0.571853472517779	0.28592673625889
79	0.725312259280177	0.549375481439647	0.274687740719823
80	0.684788242695556	0.630423514608887	0.315211757304444
81	0.644837352555226	0.710325294889548	0.355162647444774
82	0.758746211482053	0.482507577035893	0.241253788517947
83	0.720816018393738	0.558367963212524	0.279183981606262
84	0.694599235809299	0.610801528381403	0.305400764190701
85	0.652327344646397	0.695345310707207	0.347672655353603
86	0.64284048046202	0.714319039075959	0.35715951953798
87	0.598968738856139	0.802062522287722	0.401031261143861
88	0.557590914217208	0.884818171565584	0.442409085782792
89	0.537531194266218	0.924937611467565	0.462468805733782
90	0.50808229793305	0.983835404133901	0.49191770206695
91	0.494126673444626	0.988253346889251	0.505873326555374
92	0.45654302647365	0.913086052947301	0.543456973526349
93	0.413044593522864	0.826089187045728	0.586955406477136
94	0.371559244665147	0.743118489330294	0.628440755334853
95	0.389550593329268	0.779101186658536	0.610449406670732
96	0.353128101028291	0.706256202056583	0.646871898971709
97	0.315574005501292	0.631148011002584	0.684425994498708
98	0.313492372328281	0.626984744656561	0.686507627671719
99	0.272740162616487	0.545480325232974	0.727259837383513
100	0.236142230427939	0.472284460855878	0.763857769572061
101	0.216293181279329	0.432586362558658	0.783706818720671
102	0.202744102028345	0.405488204056691	0.797255897971655
103	0.242913521719987	0.485827043439974	0.757086478280013
104	0.207690898658735	0.415381797317471	0.792309101341265
105	0.200165263424189	0.400330526848378	0.799834736575811
106	0.211807340401968	0.423614680803936	0.788192659598032
107	0.189816222518662	0.379632445037325	0.810183777481338
108	0.169147857115356	0.338295714230713	0.830852142884644
109	0.165172193262673	0.330344386525346	0.834827806737327
110	0.164707198857607	0.329414397715214	0.835292801142393
111	0.144149640116751	0.288299280233502	0.855850359883249
112	0.121180024314767	0.242360048629533	0.878819975685233
113	0.141094319422248	0.282188638844496	0.858905680577752
114	0.13233401341653	0.26466802683306	0.86766598658347
115	0.174579023247372	0.349158046494743	0.825420976752628
116	0.164990630645111	0.329981261290223	0.835009369354889
117	0.145213985663783	0.290427971327567	0.854786014336216
118	0.127668509778505	0.25533701955701	0.872331490221495
119	0.132513165402184	0.265026330804368	0.867486834597816
120	0.127271761037342	0.254543522074684	0.872728238962658
121	0.107757179144019	0.215514358288038	0.892242820855981
122	0.0863844936254036	0.172768987250807	0.913615506374596
123	0.0966241739709603	0.193248347941921	0.90337582602904
124	0.0783155874138314	0.156631174827663	0.921684412586169
125	0.0642545930667541	0.128509186133508	0.935745406933246
126	0.0497116329627231	0.0994232659254463	0.950288367037277
127	0.0377475544590002	0.0754951089180005	0.962252445541
128	0.0297270432974179	0.0594540865948358	0.970272956702582
129	0.0229823734402118	0.0459647468804235	0.977017626559788
130	0.0322933993437719	0.0645867986875437	0.967706600656228
131	0.02711932864106	0.0542386572821201	0.97288067135894
132	0.0367343146598615	0.073468629319723	0.963265685340138
133	0.0389014018257992	0.0778028036515984	0.961098598174201
134	0.0557351891735168	0.111470378347034	0.944264810826483
135	0.0445033280296686	0.0890066560593373	0.955496671970331
136	0.0306779951527153	0.0613559903054306	0.969322004847285
137	0.0209103001437244	0.0418206002874488	0.979089699856276
138	0.0145778337079364	0.0291556674158728	0.985422166292064
139	0.0200319666709931	0.0400639333419861	0.979968033329007
140	0.0164967092512234	0.0329934185024469	0.983503290748777
141	0.615122533489696	0.769754933020609	0.384877466510304
142	0.551023630702795	0.897952738594411	0.448976369297205
143	0.463456279269415	0.926912558538831	0.536543720730585
144	0.391227967277217	0.782455934554434	0.608772032722783
145	0.301115061245011	0.602230122490022	0.698884938754989
146	0.32030963342476	0.64061926684952	0.67969036657524
147	0.273604207141664	0.547208414283327	0.726395792858336
148	0.663220425566356	0.673559148867289	0.336779574433644
149	0.611152099608497	0.777695800783006	0.388847900391503
150	0.477903579813684	0.955807159627368	0.522096420186316

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	5	0.0359712230215827	OK
10% type I error level	14	0.100719424460432	NOK