Multiple Linear Regression - Estimated Regression Equation

Learning[t] = -2.09744119492241 + 0.98345152961758month[t] + 0.105235669801573Connected[t] -0.021934388714044Separate[t] + 0.498650277820933Software[t] + 0.0394190124751529Happiness[t] -0.0739033591796028Depression[t] + 0.0321725689001196Belonging[t] -0.0377946216850454Belonging_Final[t] -0.0129117474811838t + 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)	-2.09744119492241	5.099384	-0.4113	0.681423	0.340711
month	0.98345152961758	0.548529	1.7929	0.074979	0.03749
Connected	0.105235669801573	0.046886	2.2445	0.026245	0.013123
Separate	-0.021934388714044	0.04483	-0.4893	0.625347	0.312673
Software	0.498650277820933	0.07117	7.0064	0	0
Happiness	0.0394190124751529	0.076218	0.5172	0.605777	0.302888
Depression	-0.0739033591796028	0.056407	-1.3102	0.192111	0.096056
Belonging	0.0321725689001196	0.044736	0.7192	0.473142	0.236571
Belonging_Final	-0.0377946216850454	0.06424	-0.5883	0.557181	0.27859
t	-0.0129117474811838	0.005824	-2.2169	0.028114	0.014057

Multiple Linear Regression - Regression Statistics
Multiple R	0.613915820786412
R-squared	0.376892635011853
Adjusted R-squared	0.339998119979661
F-TEST (value)	10.2154110084653
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	3.14848147553448e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83299774854445
Sum Squared Residuals	510.701873417692

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3664139710184	-3.36641397101843
2	16	16.3511633091657	-0.351163309165727
3	19	16.5189855309101	2.48101446908987
4	15	12.4245186516897	2.57548134831027
5	14	15.7232541324637	-1.72325413246366
6	13	15.2656211047155	-2.26562110471552
7	19	15.3040061673052	3.69599383269477
8	15	16.8806055339461	-1.88060553394615
9	14	16.1742644041345	-2.1742644041345
10	15	12.9759293102785	2.0240706897215
11	16	15.5378716307003	0.462128369299686
12	16	16.273030400883	-0.273030400882967
13	16	15.6546527782934	0.345347221706565
14	16	15.4148488901451	0.585151109854867
15	17	17.467312425524	-0.467312425524046
16	15	15.1971663135579	-0.197166313557947
17	15	14.8366131544919	0.163386845508144
18	20	16.3179258854718	3.68207411452817
19	18	15.5864342800282	2.41356571997185
20	16	15.288022527577	0.711977472422955
21	16	15.3773643052647	0.622635694735344
22	16	14.9594406143927	1.04055938560727
23	19	16.3649124118652	2.63508758813475
24	16	14.8088162881756	1.19118371182445
25	17	14.9796789272964	2.02032107270356
26	17	17.0002319442846	-0.00023194428462091
27	16	15.0500024282972	0.949997571702789
28	15	16.0346619396124	-1.03466193961235
29	16	15.4772680614163	0.522731938583733
30	14	14.1724151011575	-0.17241510115751
31	15	15.6727476298542	-0.672747629854199
32	12	12.3631045000814	-0.363104500081357
33	14	15.117964695222	-1.11796469522201
34	16	15.5048013347299	0.495198665270138
35	14	15.590014348632	-1.59001434863198
36	7	13.0838245770787	-6.08382457707872
37	10	11.144832722913	-1.14483272291303
38	14	15.6749573229188	-1.67495732291879
39	16	14.2460878313678	1.75391216863221
40	16	14.5890157798067	1.41098422019331
41	16	15.0087301242181	0.991269875781934
42	14	15.3953469414223	-1.39534694142229
43	20	17.5048001420348	2.49519985796515
44	14	14.0711435079219	-0.0711435079218569
45	14	14.836513623721	-0.836513623720953
46	11	15.4183169847174	-4.41831698471737
47	14	16.164941544866	-2.16494154486604
48	15	14.7987579418922	0.201242058107797
49	16	14.9160461550315	1.08395384496848
50	14	15.8005884479215	-1.80058844792146
51	16	16.1553942165782	-0.15539421657819
52	14	13.9392206480965	0.0607793519035076
53	12	14.4286294054258	-2.42862940542583
54	16	14.9778756169265	1.02212438307346
55	9	11.5287255028484	-2.52872550284839
56	14	12.5874986176079	1.41250138239208
57	16	15.7098508580928	0.290149141907209
58	16	14.7889527195934	1.21104728040656
59	15	15.0384876703864	-0.0384876703864245
60	16	13.8942885803109	2.10571141968912
61	12	11.3324683040781	0.667531695921863
62	16	15.5922204793398	0.407779520660198
63	16	16.0548941946298	-0.0548941946298443
64	14	14.9090369340526	-0.909036934052623
65	16	15.9002982947382	0.0997017052618297
66	17	16.5421506630211	0.457849336978946
67	18	16.5871388851816	1.41286111481836
68	18	15.2942758074996	2.70572419250038
69	12	16.2780001670708	-4.27800016707075
70	16	15.8779024740063	0.122097525993657
71	10	14.1025809788943	-4.10258097889431
72	14	14.7336303482619	-0.733630348261873
73	18	16.9205697958458	1.07943020415424
74	18	17.4227281743605	0.577271825639482
75	16	16.2505555665492	-0.250555566549225
76	17	14.4805266286436	2.51947337135644
77	16	16.6437611904071	-0.643761190407118
78	16	14.9261915329594	1.07380846704057
79	13	15.2989641923043	-2.29896419230428
80	16	16.3268420585494	-0.326842058549413
81	16	15.939593580624	0.0604064193759571
82	20	16.579174827982	3.42082517201795
83	16	16.0305278253941	-0.0305278253940706
84	15	16.2734682884789	-1.27346828847888
85	15	15.1044073223945	-0.104407322394541
86	16	14.6980407408268	1.30195925917317
87	14	14.5878450728652	-0.587845072865234
88	16	15.6092105517681	0.390789448231925
89	16	14.8156588741583	1.18434112584166
90	15	14.5847327136127	0.415267286387273
91	12	13.8420498259366	-1.84204982593664
92	17	17.0095241537886	-0.00952415378859874
93	16	15.6733001507233	0.326699849276682
94	15	15.5278763174161	-0.527876317416138
95	13	15.4589360504098	-2.45893605040981
96	16	15.4138277912641	0.586172208735916
97	16	15.9784173093968	0.0215826906031617
98	16	14.4726947417792	1.52730525822079
99	16	16.2395875019776	-0.239587501977568
100	14	14.5691198055174	-0.569119805517357
101	16	17.2988558347647	-1.29885583476469
102	16	14.9696590485794	1.03034095142056
103	20	17.3770419267775	2.62295807322253
104	15	14.7894715917847	0.210528408215322
105	16	14.6579467795295	1.34205322047049
106	13	15.4485210392978	-2.44852103929781
107	17	16.0571075679249	0.942892432075079
108	16	15.8535451088587	0.146454891141304
109	16	14.6113631317572	1.38863686824285
110	12	12.3778323218427	-0.37783232184269
111	16	15.0418266883183	0.958173311681685
112	16	15.8533987031387	0.14660129686133
113	17	14.6834232700188	2.3165767299812
114	13	14.6441271171427	-1.64412711714273
115	12	14.8781464171168	-2.87814641711676
116	18	16.5689809328263	1.43101906717371
117	14	15.3115701636548	-1.31157016365482
118	14	13.0835663199166	0.916433680083436
119	13	14.9100717908552	-1.91007179085521
120	16	15.6409279914081	0.359072008591917
121	13	14.1756844001004	-1.17568440010045
122	16	15.5381535738254	0.461846426174627
123	13	15.8770440848009	-2.87704408480089
124	16	16.8461606455066	-0.846160645506614
125	15	15.8245581211274	-0.824558121127439
126	16	16.5932149573372	-0.593214957337209
127	15	15.3817989797384	-0.381798979738357
128	17	15.993348155862	1.00665184413796
129	15	13.78133770397	1.21866229603004
130	12	14.7871167246804	-2.78711672468043
131	16	14.0722330578525	1.92776694214753
132	10	13.2508834140524	-3.25088341405243
133	16	13.9978551215951	2.00214487840492
134	12	13.7375513285654	-1.73755132856539
135	14	15.3846669147381	-1.38466691473812
136	15	14.9274168101971	0.0725831898029422
137	13	12.1439874805505	0.856012519449538
138	15	14.2074320492156	0.792567950784441
139	11	12.9838728206167	-1.98387282061673
140	12	13.1817186815902	-1.18171868159018
141	8	13.1949069826952	-5.19490698269524
142	16	12.8569281991968	3.14307180080318
143	15	13.1608748423629	1.83912515763706
144	17	16.1756549609324	0.824345039067645
145	16	14.5510186807069	1.44898131929306
146	10	13.9730436215555	-3.97304362155554
147	18	15.5094456782218	2.49055432177818
148	13	14.7758089049077	-1.77580890490772
149	16	14.8190837126463	1.18091628735374
150	13	12.8301647037304	0.169835296269571
151	10	12.8968837656032	-2.8968837656032
152	15	15.8866436250681	-0.886643625068071
153	16	13.6941821089481	2.30581789105187
154	16	11.8080233854972	4.19197661450276
155	14	12.2077805005301	1.79221949946985
156	10	11.2855246056713	-1.2855246056713
157	17	16.1702605675117	0.829739432488345
158	13	11.3568463851717	1.64315361482834
159	15	13.3939852795344	1.60601472046556
160	16	14.6547469059316	1.34525309406839
161	12	12.2028551958358	-0.20285519583582
162	13	12.2342960833165	0.765703916683517

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.742244972598117	0.515510054803765	0.257755027401883
14	0.718023164195827	0.563953671608347	0.281976835804173
15	0.597396867467301	0.805206265065397	0.402603132532699
16	0.484857109864061	0.969714219728123	0.515142890135939
17	0.406532304636361	0.813064609272721	0.593467695363639
18	0.564498379568644	0.871003240862711	0.435501620431356
19	0.479492433267267	0.958984866534535	0.520507566732733
20	0.3908162340503	0.781632468100599	0.6091837659497
21	0.31969151963836	0.639383039276719	0.68030848036164
22	0.312330886427454	0.624661772854907	0.687669113572546
23	0.444089764887617	0.888179529775233	0.555910235112383
24	0.518874357470394	0.962251285059212	0.481125642529606
25	0.46518800432219	0.930376008644381	0.53481199567781
26	0.396457092254608	0.792914184509216	0.603542907745392
27	0.368253161710331	0.736506323420663	0.631746838289669
28	0.473655997954659	0.947311995909319	0.526344002045341
29	0.416386813461514	0.832773626923029	0.583613186538486
30	0.528002408307841	0.943995183384319	0.471997591692159
31	0.476957725439178	0.953915450878356	0.523042274560822
32	0.439567764193812	0.879135528387624	0.560432235806188
33	0.427271429421879	0.854542858843758	0.572728570578121
34	0.396269557964855	0.79253911592971	0.603730442035145
35	0.345000241780473	0.690000483560946	0.654999758219527
36	0.880091284565451	0.239817430869097	0.119908715434549
37	0.85522931794077	0.28954136411846	0.14477068205923
38	0.836769588745505	0.326460822508989	0.163230411254495
39	0.866533858016885	0.266932283966229	0.133466141983115
40	0.856665691975821	0.286668616048358	0.143334308024179
41	0.832887582708782	0.334224834582437	0.167112417291218
42	0.804511176704815	0.390977646590369	0.195488823295185
43	0.838627042420241	0.322745915159519	0.161372957579759
44	0.803408472628204	0.393183054743591	0.196591527371796
45	0.775967059022196	0.448065881955607	0.224032940977804
46	0.893001949630493	0.213996100739013	0.106998050369507
47	0.911129639370006	0.177740721259988	0.0888703606299939
48	0.891152335134734	0.217695329730533	0.108847664865266
49	0.890318176329991	0.219363647340018	0.109681823670009
50	0.879935934325318	0.240128131349364	0.120064065674682
51	0.853202847488953	0.293594305022094	0.146797152511047
52	0.8243283455864	0.3513433088272	0.1756716544136
53	0.827758766962744	0.344482466074512	0.172241233037256
54	0.803039580133344	0.393920839733313	0.196960419866656
55	0.815287223212898	0.369425553574204	0.184712776787102
56	0.796823237546759	0.406353524906483	0.203176762453241
57	0.760784124314634	0.478431751370731	0.239215875685366
58	0.750113285856097	0.499773428287806	0.249886714143903
59	0.716525224112208	0.566949551775583	0.283474775887792
60	0.734014518199158	0.531970963601685	0.265985481800842
61	0.70400687839151	0.59198624321698	0.29599312160849
62	0.671535085117373	0.656929829765253	0.328464914882627
63	0.634386926738854	0.731226146522291	0.365613073261146
64	0.589148456014892	0.821703087970216	0.410851543985108
65	0.544793661100745	0.91041267779851	0.455206338899255
66	0.500521020042518	0.998957959914965	0.499478979957482
67	0.479694589115464	0.959389178230928	0.520305410884536
68	0.550116436089333	0.899767127821334	0.449883563910667
69	0.729894839407498	0.540210321185003	0.270105160592502
70	0.690068750028275	0.619862499943449	0.309931249971725
71	0.825575996843999	0.348848006312003	0.174424003156001
72	0.795045148064709	0.409909703870581	0.204954851935291
73	0.783295815882427	0.433408368235145	0.216704184117572
74	0.762268149481301	0.475463701037399	0.237731850518699
75	0.724916602086113	0.550166795827774	0.275083397913887
76	0.752642040538574	0.494715918922853	0.247357959461426
77	0.715445842234085	0.56910831553183	0.284554157765915
78	0.692028063449737	0.615943873100526	0.307971936550263
79	0.708607743132709	0.582784513734582	0.291392256867291
80	0.666541845516913	0.666916308966174	0.333458154483087
81	0.626005481169325	0.747989037661351	0.373994518830675
82	0.763155937843792	0.473688124312417	0.236844062156208
83	0.726254047142595	0.54749190571481	0.273745952857405
84	0.698080167940698	0.603839664118603	0.301919832059302
85	0.655918059018102	0.688163881963796	0.344081940981898
86	0.638478544061943	0.723042911876113	0.361521455938057
87	0.594051808906247	0.811896382187506	0.405948191093753
88	0.551268483413618	0.897463033172765	0.448731516586382
89	0.528719309592612	0.942561380814776	0.471280690407388
90	0.488659205075739	0.977318410151479	0.511340794924261
91	0.478316320600976	0.956632641201952	0.521683679399024
92	0.436414300533975	0.87282860106795	0.563585699466025
93	0.394297359910335	0.78859471982067	0.605702640089665
94	0.35064534414505	0.701290688290099	0.64935465585495
95	0.378068524372549	0.756137048745099	0.621931475627451
96	0.341359749677388	0.682719499354776	0.658640250322612
97	0.29966919741993	0.59933839483986	0.70033080258007
98	0.291950190999364	0.583900381998727	0.708049809000636
99	0.251388132800224	0.502776265600449	0.748611867199776
100	0.217981311479494	0.435962622958987	0.782018688520506
101	0.193027105973421	0.386054211946842	0.806972894026579
102	0.175461348244361	0.350922696488721	0.824538651755639
103	0.223876405506181	0.447752811012363	0.776123594493819
104	0.189525057074798	0.379050114149596	0.810474942925202
105	0.184290441808544	0.368580883617089	0.815709558191456
106	0.193699111340632	0.387398222681263	0.806300888659368
107	0.17583504441996	0.351670088839921	0.82416495558004
108	0.15534603702485	0.310692074049701	0.844653962975149
109	0.154036730364163	0.308073460728326	0.845963269635837
110	0.146033025765609	0.292066051531219	0.85396697423439
111	0.133381394220933	0.266762788441866	0.866618605779067
112	0.114265837877353	0.228531675754706	0.885734162122647
113	0.158760632687342	0.317521265374684	0.841239367312658
114	0.1391556007143	0.2783112014286	0.8608443992857
115	0.153644879588015	0.30728975917603	0.846355120411985
116	0.163641246507276	0.327282493014551	0.836358753492724
117	0.136383959391472	0.272767918782944	0.863616040608528
118	0.138774920657501	0.277549841315001	0.861225079342499
119	0.123340415690563	0.246680831381125	0.876659584309437
120	0.136209974003957	0.272419948007913	0.863790025996043
121	0.109931935752434	0.219863871504868	0.890068064247566
122	0.0969042452242377	0.193808490448475	0.903095754775762
123	0.0905393264129781	0.181078652825956	0.909460673587022
124	0.0696536287240431	0.139307257448086	0.930346371275957
125	0.0525166219270623	0.105033243854125	0.947483378072938
126	0.0393354989380034	0.0786709978760069	0.960664501061997
127	0.0283726670573625	0.0567453341147249	0.971627332942637
128	0.0297095248165116	0.0594190496330233	0.970290475183488
129	0.0318328178982139	0.0636656357964278	0.968167182101786
130	0.0300158198967637	0.0600316397935274	0.969984180103236
131	0.0363441981578249	0.0726883963156499	0.963655801842175
132	0.0369366502053276	0.0738733004106551	0.963063349794672
133	0.0929372663822898	0.18587453276458	0.90706273361771
134	0.0948493524097268	0.189698704819454	0.905150647590273
135	0.0745619984663059	0.149123996932612	0.925438001533694
136	0.0576768116985591	0.115353623397118	0.942323188301441
137	0.0410350971602939	0.0820701943205877	0.958964902839706
138	0.0455718876833694	0.0911437753667388	0.954428112316631
139	0.0403823523034123	0.0807647046068246	0.959617647696588
140	0.0266187253817034	0.0532374507634068	0.973381274618297
141	0.542580593827633	0.914838812344735	0.457419406172367
142	0.483296179893777	0.966592359787555	0.516703820106223
143	0.404754959813083	0.809509919626165	0.595245040186917
144	0.312693354208237	0.625386708416475	0.687306645791763
145	0.22969430083664	0.45938860167328	0.77030569916336
146	0.367394481404576	0.734788962809153	0.632605518595424
147	0.292070487361606	0.584140974723212	0.707929512638394
148	0.449919221267547	0.899838442535093	0.550080778732453
149	0.462488795485666	0.924977590971331	0.537511204514334

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	11	0.0802919708029197	OK