Multiple Linear Regression - Estimated Regression Equation

learning[t] = + 7.13849143549936 -0.19541119211959month[t] + 0.543562867871674software[t] + 0.0595549258757396happiness[t] -0.0646170437037978depression[t] + 0.0400975540319473belonging[t] -0.0562249832541988belonging_final[t] + 0.111120048323479connected[t] -0.0171256307170541separate[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)	7.13849143549936	3.614334	1.9751	0.050062	0.025031
month	-0.19541119211959	0.301057	-0.6491	0.517257	0.258629
software	0.543562867871674	0.069099	7.8665	0	0
happiness	0.0595549258757396	0.076525	0.7782	0.437631	0.218816
depression	-0.0646170437037978	0.05734	-1.1269	0.261545	0.130772
belonging	0.0400975540319473	0.045112	0.8888	0.375481	0.187741
belonging_final	-0.0562249832541988	0.064373	-0.8734	0.383799	0.191899
connected	0.111120048323479	0.047195	2.3545	0.019819	0.009909
separate	-0.0171256307170541	0.045226	-0.3787	0.705457	0.352728

Multiple Linear Regression - Regression Statistics
Multiple R	0.598729202174744
R-squared	0.358476657536806
Adjusted R-squared	0.324932953355723
F-TEST (value)	10.6868536522266
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	7.11086745042167e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85379966537436
Sum Squared Residuals	525.79569949934

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.1920284722714	-3.19202847227137
2	16	16.0867606404863	-0.086760640486277
3	19	16.3028929413178	2.69710705868223
4	15	11.8413099907998	3.15869000920022
5	14	15.647527068189	-1.64752706818902
6	13	14.9895969285293	-1.98959692852927
7	19	15.1623724373348	3.83762756266521
8	15	16.7269914184294	-1.72699141842944
9	14	15.9877179884548	-1.98771798845476
10	15	12.5599779478411	2.44002205215887
11	16	15.286032561121	0.713967438878996
12	16	16.2450461284938	-0.245046128493805
13	16	15.477090308743	0.522909691257007
14	16	15.3999738428743	0.600026157125654
15	17	17.5009282996742	-0.500928299674175
16	15	15.1239299406807	-0.123929940680651
17	15	14.6740435982036	0.325956401796412
18	20	16.2684149081577	3.73158509184229
19	18	15.4905078402239	2.50949215977606
20	16	15.284684912821	0.715315087178965
21	16	15.3105615982231	0.689438401776896
22	16	14.8195720504499	1.18042794955006
23	19	16.4972238142738	2.50277618572619
24	16	14.7776835870545	1.22231641294552
25	17	14.883854995613	2.11614500438701
26	17	16.9736808362276	0.0263191637723657
27	16	15.0881752094556	0.911824790544357
28	15	16.1803293864933	-1.18032938649329
29	16	15.590531146231	0.409468853768975
30	14	14.0560746879148	-0.0560746879147753
31	15	15.6918545226112	-0.691854522611165
32	12	12.2953166223489	-0.295316622348885
33	14	15.1914819800671	-1.19148198006714
34	16	15.5615602777016	0.438439722298424
35	14	15.7663749381685	-1.76637493816853
36	7	12.9843960516783	-5.98439605167827
37	10	11.0222297452183	-1.02222974521833
38	14	15.8848924668938	-1.88489246689382
39	16	14.3343344138764	1.66566558612355
40	16	14.6728007936734	1.32719920632658
41	16	15.1277062368898	0.872293763110152
42	14	15.6971384415886	-1.6971384415886
43	20	17.9535613125627	2.04643868743733
44	14	14.2915940902356	-0.291594090235572
45	14	14.9676171226496	-0.967617122649589
46	11	15.7073067942432	-4.70730679424319
47	14	16.5012074540298	-2.50120745402984
48	15	15.0471761334037	-0.0471761334036503
49	16	15.357477811427	0.642522188572993
50	14	16.1177056358295	-2.11770563582955
51	16	16.6145714398191	-0.61457143981907
52	14	14.2241591503592	-0.224159150359196
53	12	14.8310597751438	-2.83105977514378
54	16	15.2831352834483	0.716864716551666
55	9	11.6113445458156	-2.61134454581564
56	14	12.7273487758473	1.27265122415274
57	16	16.2039075589066	-0.203907558906594
58	16	15.1796123961502	0.820387603849779
59	15	15.4318371730387	-0.431837173038739
60	16	14.2569075893394	1.74309241066061
61	12	11.5488840036404	0.451115996359571
62	16	16.0990324387555	-0.0990324387555359
63	16	16.6054424987364	-0.605442498736434
64	14	14.4755353551307	-0.475535355130701
65	16	15.5128780019761	0.487121998023938
66	17	15.8437920725416	1.15620792745835
67	18	16.036788040156	1.96321195984401
68	18	14.5959321982091	3.40406780179092
69	12	15.7986894450369	-3.79868944503691
70	16	15.3566544913652	0.643345508634752
71	10	13.3453058388218	-3.34530583882181
72	14	14.2509852204631	-0.250985220463126
73	18	16.506846709913	1.49315329008702
74	18	17.0795559905344	0.920444009465595
75	16	15.6431954740178	0.356804525982157
76	17	13.8360737114893	3.16392628851066
77	16	16.2900569221169	-0.290056922116905
78	16	14.3793144101012	1.62068558989885
79	13	14.7858404970916	-1.7858404970916
80	16	15.8586878007588	0.141312199241163
81	16	15.5214667638494	0.478533236150585
82	20	16.6774367474165	3.32256325258351
83	16	15.5912598681855	0.408740131814465
84	15	15.9403513570373	-0.940351357037348
85	15	14.6681851536693	0.331814846330661
86	16	14.1947600770899	1.80523992291009
87	14	14.1616021894194	-0.161602189419441
88	16	15.2554704484013	0.744529551598692
89	16	14.4963969983629	1.50360300163705
90	15	14.193413731728	0.806586268272044
91	12	13.4178285037396	-1.41782850373964
92	17	16.9049259402423	0.0950740597576777
93	16	15.4486495114396	0.551350488560388
94	15	15.2371713561589	-0.237171356158882
95	13	15.1091201175879	-2.10912011758789
96	16	15.1444888147004	0.85551118529957
97	16	15.792584869029	0.207415130971025
98	16	14.0989939305589	1.90100606944106
99	16	16.0870532118844	-0.087053211884415
100	14	14.2675453613905	-0.267545361390544
101	16	17.2838519578238	-1.28385195782379
102	16	14.753399382905	1.24660061709498
103	20	17.3665631885563	2.63343681144375
104	15	14.4692009204892	0.530799079510783
105	16	14.5472168020534	1.45278319794661
106	13	15.3335955420167	-2.33359554201674
107	17	15.9772299167096	1.02277008329044
108	16	15.8838595572741	0.116140442725885
109	16	14.5006327989772	1.49936720102275
110	12	12.2506833749084	-0.250683374908364
111	16	14.9801244615349	1.01987553846506
112	16	15.8530036131275	0.146996386872521
113	17	14.5168989793172	2.48310102068275
114	13	14.9240123377016	-1.92401233770162
115	12	14.8506025714075	-2.85060257140747
116	18	16.589292312907	1.410707687093
117	14	15.4716069833716	-1.47160698337164
118	14	12.9526157847555	1.04738421524448
119	13	14.888633080924	-1.88863308092397
120	16	15.6940921498395	0.30590785016049
121	13	14.2521312443242	-1.25213124432418
122	16	15.6232214924446	0.376778507555358
123	13	15.9768657876015	-2.97686578760153
124	16	17.0361549172139	-1.03615491721392
125	15	15.9662974443689	-0.966297444368874
126	16	16.805957327963	-0.805957327962962
127	15	15.4175730688417	-0.417573068841661
128	17	16.2445366271888	0.755463372811213
129	15	13.8156180890219	1.18438191097815
130	12	14.954053885653	-2.95405388565303
131	16	14.1596075209435	1.84039247905651
132	10	13.3680049257498	-3.36800492574982
133	16	14.0923519355499	1.90764806445008
134	12	13.9314533586019	-1.93145335860193
135	14	15.6665908818457	-1.66659088184569
136	15	15.1226477046261	-0.12264770462611
137	13	12.2897984522131	0.710201547786873
138	15	14.4360825865368	0.56391741346322
139	11	13.1728375568282	-2.17283755682824
140	12	13.3395932394898	-1.33959323948977
141	8	13.3820861748007	-5.38208617480073
142	16	13.063449480683	2.93655051931695
143	15	13.3767359253512	1.62326407464885
144	17	16.5988568790758	0.401143120924245
145	16	14.8334848468848	1.16651515311521
146	10	14.1651894011198	-4.16518940111977
147	18	15.926460496673	2.073539503327
148	13	15.1753194573359	-2.17531945733589
149	16	15.1569198753562	0.843080124643801
150	13	13.0666695506731	-0.0666695506730648
151	10	13.1498240975415	-3.14982409754151
152	15	16.4849473386869	-1.48494733868688
153	16	14.1167804444225	1.88321955557748
154	16	12.2148492201885	3.78515077981149
155	14	12.4971401550021	1.50285984499791
156	10	12.540191817967	-2.54019181796698
157	17	16.9049259402423	0.0950740597576777
158	13	11.6461372300348	1.35386276996517
159	15	13.8156180890219	1.18438191097815
160	16	15.0870135567143	0.912986443285705
161	12	12.5978246283454	-0.597824628345433
162	13	12.4197535379767	0.580246462023333

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.759669005338185	0.48066198932363	0.240330994661815
13	0.6225792191633	0.754841561673401	0.3774207808367
14	0.58243566013641	0.83512867972718	0.41756433986359
15	0.46254000293873	0.92508000587746	0.53745999706127
16	0.362240895874605	0.72448179174921	0.637759104125395
17	0.299077928194036	0.598155856388071	0.700922071805964
18	0.505972058386191	0.988055883227618	0.494027941613809
19	0.421532914646166	0.843065829292332	0.578467085353834
20	0.332277216301392	0.664554432602784	0.667722783698608
21	0.262251467129049	0.524502934258098	0.737748532870951
22	0.23894338770237	0.47788677540474	0.76105661229763
23	0.435115487867804	0.870230975735607	0.564884512132196
24	0.469907759946194	0.939815519892388	0.530092240053806
25	0.45775482696869	0.915509653937379	0.54224517303131
26	0.416942696980975	0.833885393961949	0.583057303019025
27	0.47661558191838	0.95323116383676	0.52338441808162
28	0.479845334345382	0.959690668690765	0.520154665654618
29	0.459659913655986	0.919319827311972	0.540340086344014
30	0.500482361582851	0.999035276834297	0.499517638417149
31	0.43974929840025	0.879498596800499	0.56025070159975
32	0.390507946283896	0.781015892567791	0.609492053716104
33	0.364115235936927	0.728230471873853	0.635884764063073
34	0.329150473722926	0.658300947445852	0.670849526277074
35	0.28267533407261	0.565350668145221	0.71732466592739
36	0.850419973215057	0.299160053569887	0.149580026784943
37	0.825286663658169	0.349426672683663	0.174713336341831
38	0.818698394586821	0.362603210826357	0.181301605413179
39	0.837988822550582	0.324022354898836	0.162011177449418
40	0.820657708821076	0.358684582357847	0.179342291178923
41	0.789885892996278	0.420228214007445	0.210114107003722
42	0.764469438827103	0.471061122345794	0.235530561172897
43	0.788600402152445	0.42279919569511	0.211399597847555
44	0.747632950134532	0.504734099730935	0.252367049865468
45	0.719207433467023	0.561585133065955	0.280792566532977
46	0.873892109305338	0.252215781389324	0.126107890694662
47	0.918290149217737	0.163419701564527	0.0817098507822634
48	0.896685592967335	0.20662881406533	0.103314407032665
49	0.8810264267418	0.2379471465164	0.1189735732582
50	0.880795596922432	0.238408806155135	0.119204403077568
51	0.854530781453067	0.290938437093866	0.145469218546933
52	0.823740225439624	0.352519549120752	0.176259774560376
53	0.845552854099044	0.308894291801911	0.154447145900956
54	0.829759610437591	0.340480779124818	0.170240389562409
55	0.848672051547678	0.302655896904644	0.151327948452322
56	0.821625857518663	0.356748284962673	0.178374142481337
57	0.789412465621841	0.421175068756318	0.210587534378159
58	0.764071910243083	0.471856179513834	0.235928089756917
59	0.731147703611897	0.537704592776206	0.268852296388103
60	0.719798752556882	0.560402494886236	0.280201247443118
61	0.681620375814976	0.636759248370048	0.318379624185024
62	0.641624032524821	0.716751934950357	0.358375967475179
63	0.611743762178627	0.776512475642746	0.388256237821373
64	0.572829435324306	0.854341129351389	0.427170564675695
65	0.529722397709635	0.940555204580731	0.470277602290365
66	0.485151606712448	0.970303213424896	0.514848393287552
67	0.467602264983994	0.935204529967989	0.532397735016006
68	0.520603587739934	0.958792824520133	0.479396412260066
69	0.743816488373515	0.51236702325297	0.256183511626485
70	0.706441434148366	0.587117131703267	0.293558565851634
71	0.825074412880329	0.349851174239341	0.174925587119671
72	0.79295973471419	0.414080530571621	0.20704026528581
73	0.783452839082718	0.433094321834564	0.216547160917282
74	0.762914416923589	0.474171166152823	0.237085583076412
75	0.725785215268706	0.548429569462588	0.274214784731294
76	0.76923114857283	0.461537702854339	0.23076885142717
77	0.735434076994158	0.529131846011683	0.264565923005842
78	0.719713950811237	0.560572098377526	0.280286049188763
79	0.731082967782326	0.537834064435349	0.268917032217674
80	0.690950759288034	0.618098481423932	0.309049240711966
81	0.651461898253271	0.697076203493457	0.348538101746729
82	0.776489644643657	0.447020710712687	0.223510355356343
83	0.74007258934588	0.51985482130824	0.25992741065412
84	0.714558361288203	0.570883277423595	0.285441638711797
85	0.673462073514432	0.653075852971137	0.326537926485568
86	0.663789355981807	0.672421288036385	0.336210644018193
87	0.62073574417441	0.758528511651179	0.37926425582559
88	0.580045174619219	0.839909650761562	0.419954825380781
89	0.559029467576587	0.881941064846825	0.440970532423412
90	0.525146046496622	0.949707907006755	0.474853953503378
91	0.512171390262371	0.975657219475257	0.487828609737629
92	0.473504035557821	0.947008071115642	0.526495964442179
93	0.430147954229181	0.860295908458362	0.569852045770819
94	0.388051967910068	0.776103935820136	0.611948032089932
95	0.403816225956829	0.807632451913658	0.596183774043171
96	0.368160126511544	0.736320253023087	0.631839873488456
97	0.328547897743785	0.65709579548757	0.671452102256215
98	0.328324065378846	0.656648130757693	0.671675934621154
99	0.286833155678029	0.573666311356057	0.713166844321971
100	0.248602153869149	0.497204307738297	0.751397846130851
101	0.227031896972657	0.454063793945314	0.772968103027343
102	0.210541850750972	0.421083701501944	0.789458149249028
103	0.2522710412074	0.5045420824148	0.7477289587926
104	0.215845663502873	0.431691327005746	0.784154336497127
105	0.207958802465843	0.415917604931687	0.792041197534157
106	0.223397247669121	0.446794495338243	0.776602752330879
107	0.200784787344618	0.401569574689236	0.799215212655382
108	0.177990917914055	0.355981835828109	0.822009082085945
109	0.171171653788763	0.342343307577525	0.828828346211237
110	0.158719614962946	0.317439229925892	0.841280385037054
111	0.139619098083409	0.279238196166817	0.860380901916591
112	0.116535753116634	0.233071506233268	0.883464246883366
113	0.137723200342982	0.275446400685964	0.862276799657018
114	0.124209244874226	0.248418489748452	0.875790755125774
115	0.162217422492843	0.324434844985686	0.837782577507157
116	0.153093660177937	0.306187320355875	0.846906339822063
117	0.133779178939302	0.267558357878603	0.866220821060698
118	0.11618045963833	0.23236091927666	0.88381954036167
119	0.11751398661296	0.23502797322592	0.88248601338704
120	0.108308364426011	0.216616728852023	0.891691635573989
121	0.0916509028822706	0.183301805764541	0.908349097117729
122	0.0728044932343449	0.14560898646869	0.927195506765655
123	0.0816667230907162	0.163333446181432	0.918333276909284
124	0.0651888331583388	0.130377666316678	0.934811166841661
125	0.0525748271208111	0.105149654241622	0.947425172879189
126	0.0398532766207202	0.0797065532414405	0.96014672337928
127	0.0296317955133561	0.0592635910267122	0.970368204486644
128	0.023493778142581	0.046987556285162	0.976506221857419
129	0.0180883229873234	0.0361766459746468	0.981911677012677
130	0.0252972199878468	0.0505944399756936	0.974702780012153
131	0.0217525250070476	0.0435050500140952	0.978247474992952
132	0.0332924901205405	0.066584980241081	0.96670750987946
133	0.0370245529366446	0.0740491058732891	0.962975447063355
134	0.0517743789357758	0.103548757871552	0.948225621064224
135	0.0412494597898408	0.0824989195796817	0.958750540210159
136	0.0285182284174242	0.0570364568348485	0.971481771582576
137	0.0193395542236236	0.0386791084472471	0.980660445776376
138	0.0127752841722827	0.0255505683445654	0.987224715827717
139	0.0245127732542161	0.0490255465084323	0.975487226745784
140	0.020381914476414	0.0407638289528281	0.979618085523586
141	0.614747119241747	0.770505761516506	0.385252880758253
142	0.548952295417248	0.902095409165504	0.451047704582752
143	0.461544891437496	0.923089782874992	0.538455108562504
144	0.38553425299192	0.771068505983841	0.61446574700808
145	0.2961047050623	0.592209410124599	0.7038952949377
146	0.298924121849975	0.597848243699951	0.701075878150025
147	0.255026458422161	0.510052916844323	0.744973541577838
148	0.757402436582747	0.485195126834506	0.242597563417253
149	0.742449312709066	0.515101374581868	0.257550687290934
150	0.582709638539515	0.834580722920971	0.417290361460485

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	7	0.0503597122302158	NOK
10% type I error level	14	0.100719424460432	NOK