Multiple Linear Regression - Estimated Regression Equation

percieved_competence[t] = + 6.04207610205134 + 0.145036499278661gender[t] + 0.140985144142353age[t] + 0.102250221850415connected[t] -0.0263053859889658seperate[t] + 0.532858482851705software[t] + 0.050866292866091happiness[t] -0.0802171236440452depression[t] -0.00436013736029397t + 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)	6.04207610205134	2.473965	2.4423	0.015735	0.007867
gender	0.145036499278661	0.322662	0.4495	0.653707	0.326854
age	0.140985144142353	0.128192	1.0998	0.273148	0.136574
connected	0.102250221850415	0.047382	2.158	0.032488	0.016244
seperate	-0.0263053859889658	0.045461	-0.5786	0.563682	0.281841
software	0.532858482851705	0.070429	7.5658	0	0
happiness	0.050866292866091	0.076943	0.6611	0.509546	0.254773
depression	-0.0802171236440452	0.056287	-1.4251	0.156152	0.078076
t	-0.00436013736029397	0.003204	-1.3607	0.175603	0.087801

Multiple Linear Regression - Regression Statistics
Multiple R	0.605070715580696
R-squared	0.366110570853336
Adjusted R-squared	0.332966025538478
F-TEST (value)	11.045877002549
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	3.02458058598631e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.8427368578023
Sum Squared Residuals	519.538906446775

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.6511638111484	-3.65116381114838
2	16	16.068989069993	-0.0689890699930245
3	19	16.6001792884241	2.39982071157585
4	15	12.0212178401024	2.97878215989763
5	14	15.9978991946731	-1.99789919467307
6	13	15.2493733287637	-2.24937332876369
7	19	15.5204987204834	3.47950127951663
8	15	16.9624510138564	-1.96245101385643
9	14	16.1132780128503	-2.1132780128503
10	15	12.5534645271888	2.44653547281119
11	16	15.4462439906789	0.553756009321129
12	16	16.4904024055108	-0.490402405510839
13	16	15.4998843252806	0.500115674719385
14	16	15.6574362932137	0.342563706786262
15	17	17.7609003665975	-0.760900366597456
16	15	15.3505807933259	-0.350580793325935
17	15	14.8567951077952	0.143204892204789
18	20	16.3621216685721	3.63787833142792
19	18	15.9917053042623	2.00829469573769
20	16	15.827416982671	0.172583017329034
21	16	15.4199215165031	0.580078483496913
22	16	15.1262329958297	0.873767004170278
23	19	16.8835988283728	2.11640117162724
24	16	15.320549062599	0.679450937401008
25	17	14.7070861528581	2.2929138471419
26	17	16.7962156501011	0.203784349898871
27	16	15.4996169653168	0.500383034683248
28	15	16.425824164235	-1.42582416423499
29	16	15.4510668774949	0.548933122505073
30	14	14.2149554491827	-0.214955449182658
31	15	15.8213250001047	-0.821325000104654
32	12	12.3923703802388	-0.392370380238811
33	14	15.3931072461806	-1.39310724618065
34	16	15.6669462395201	0.333053760479855
35	14	15.4903867646498	-1.49038676464977
36	7	13.0411358153156	-6.04113581531563
37	10	10.9311077677391	-0.931107767739137
38	14	15.733974054813	-1.73397405481296
39	16	14.4079595030732	1.59204049692679
40	16	14.6159882540945	1.38401174590555
41	16	15.0243836558002	0.975616344199819
42	14	15.8294718948123	-1.82947189481232
43	20	17.9132894336987	2.08671056630133
44	14	14.3677980613534	-0.367798061353357
45	14	15.3283885338423	-1.32838853384229
46	11	15.892056898258	-4.89205689825805
47	14	16.6599472993998	-2.65994729939985
48	15	15.0497117697408	-0.0497117697408061
49	16	14.8867597009895	1.11324029901046
50	14	15.8909427740911	-1.89094277409109
51	16	16.4178333127765	-0.417833312776545
52	14	14.0658298964765	-0.0658298964764858
53	12	14.5748031936783	-2.57480319367825
54	16	15.9750166279313	0.0249833720686971
55	9	11.4747650833591	-2.4747650833591
56	14	12.7319327923355	1.26806720766452
57	16	16.1882475371727	-0.188247537172711
58	16	15.1494170947336	0.850582905266353
59	15	15.2817072641108	-0.281707264110767
60	16	14.3365498532343	1.6634501467657
61	12	11.489623040895	0.510376959104991
62	16	15.9877635184303	0.0122364815697091
63	16	16.5161328427869	-0.516132842786906
64	14	14.8805815109151	-0.88058151091514
65	16	15.8111503382814	0.188849661718557
66	17	15.7631625850837	1.23683741491626
67	18	16.3021071188263	1.69789288117367
68	18	14.6030287015278	3.39697129847218
69	12	15.7862421359069	-3.78624213590694
70	16	15.2265436461892	0.773456353810818
71	10	13.4531564597402	-3.45315645974023
72	14	14.365344283727	-0.365344283726967
73	18	16.2085876847637	1.79141231523628
74	18	16.9382028227653	1.06179717723467
75	16	15.6454505267693	0.354549473230739
76	17	13.9272831093992	3.07271689060076
77	16	16.4013529640169	-0.4013529640169
78	16	14.7990089894376	1.20099101056245
79	13	14.7096002965715	-1.70960029657147
80	16	16.2318198969495	-0.23181989694948
81	16	15.3820235925886	0.617976407411429
82	20	15.7241518430198	4.27584815698021
83	16	15.7159839780042	0.284016021995754
84	15	15.5455391068136	-0.545539106813587
85	15	15.1288747743425	-0.128874774342529
86	16	14.6417391174377	1.35826088256229
87	14	13.8882028797264	0.111797120273573
88	16	15.2770813416706	0.722918658329384
89	16	14.7657985692307	1.23420143076928
90	15	13.9954460222936	1.00455397770645
91	12	13.4806960203101	-1.48069602031008
92	17	16.9260600145155	0.0739399854844929
93	16	15.2462925658693	0.753707434130738
94	15	15.0658512406601	-0.0658512406600968
95	13	15.1933341352671	-2.19333413526711
96	16	15.060308689728	0.939691310272005
97	16	15.730793009384	0.269206990615992
98	16	14.1395233889667	1.86047661103331
99	16	15.7259002210727	0.274099778927299
100	14	14.3524160629756	-0.352416062975559
101	16	17.0577899848507	-1.05778998485071
102	16	14.6392240017428	1.36077599825718
103	20	17.2808069672802	2.71919303271979
104	15	14.6536096450471	0.346390354952948
105	16	14.1275862478966	1.87241375210336
106	13	15.0060733649987	-2.00607336499873
107	17	15.8611341644644	1.13886583553563
108	16	15.7432850266192	0.256714973380814
109	16	14.4849373562822	1.51506264371779
110	12	12.7267949574546	-0.726794957454556
111	16	14.901464706553	1.09853529344704
112	16	15.8076948476271	0.192305152372948
113	17	14.3781823318163	2.62181766818366
114	13	14.3102117255214	-1.31021172552138
115	12	14.7061067261053	-2.70610672610529
116	18	16.6895534039824	1.31044659601765
117	14	15.6471995661366	-1.64719956613662
118	14	12.8790440717276	1.12095592827245
119	13	15.1053748738777	-2.10537487387767
120	16	15.4965310566256	0.503468943374428
121	13	14.3200233554403	-1.32002335544035
122	16	16.0448387417756	-0.044838741775579
123	13	15.9172544181624	-2.91725441816242
124	16	17.0023326374339	-1.00233263743387
125	15	15.8586143166685	-0.858614316668478
126	16	16.5611273436006	-0.561127343600651
127	15	15.1768471400343	-0.17684714003431
128	17	16.0170611448456	0.982938855154392
129	15	14.0636483656247	0.936351634375277
130	12	14.7625520885984	-2.76255208859841
131	16	13.8322479651124	2.16775203488759
132	10	13.0526315249304	-3.05263152493035
133	16	13.9385623083331	2.06143769166689
134	12	13.5595700316117	-1.5595700316117
135	14	15.28176402277	-1.28176402277003
136	15	15.3203400831997	-0.320340083199718
137	13	12.0892489471152	0.91075105288482
138	15	14.5786603683836	0.421339631616382
139	11	13.4644442341623	-2.46444423416225
140	12	13.3954892718818	-1.39548927188183
141	8	13.0207099911854	-5.02070999118537
142	16	13.4422057435387	2.55779425646125
143	15	12.9282095119135	2.07179048808648
144	17	16.2984330465091	0.701566953490942
145	16	14.4863836250474	1.51361637495262
146	10	14.0103620078051	-4.01036200780513
147	18	15.5953266419272	2.40467335807285
148	13	14.8917604921053	-1.89176049210531
149	16	14.8212269374424	1.17877306255763
150	13	12.9863710516233	0.0136289483766882
151	10	12.9605421828954	-2.96054218289535
152	15	16.2022452493487	-1.20224524934874
153	16	14.2943988206884	1.70560117931163
154	16	11.9043874509472	4.09561254905284
155	14	12.6651227534132	1.33487724658678
156	10	12.254920048858	-2.25492004885799
157	17	16.6426510860964	0.357348913903601
158	13	11.5741053463768	1.42589465362324
159	15	13.9328442448159	1.0671557551841
160	16	15.0569093290568	0.943090670943156
161	12	12.2567515916689	-0.256751591668855
162	13	12.6418870521746	0.358112947825393

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.200159184143384	0.400318368286767	0.799840815856616
13	0.281227551634873	0.562455103269745	0.718772448365127
14	0.35659119018716	0.71318238037432	0.64340880981284
15	0.363392170028263	0.726784340056526	0.636607829971737
16	0.364789640107346	0.729579280214692	0.635210359892654
17	0.339124446028376	0.678248892056753	0.660875553971624
18	0.700238881068733	0.599522237862535	0.299761118931267
19	0.803640205584903	0.392719588830194	0.196359794415097
20	0.736464783915932	0.527070432168136	0.263535216084068
21	0.68305716903014	0.633885661939721	0.31694283096986
22	0.639864475998646	0.720271048002708	0.360135524001354
23	0.6116348499579	0.7767303000842	0.3883651500421
24	0.562294500557964	0.875410998884073	0.437705499442036
25	0.508144428436911	0.983711143126177	0.491855571563089
26	0.459127800594255	0.91825560118851	0.540872199405745
27	0.404764511679848	0.809529023359696	0.595235488320152
28	0.516923598226111	0.966152803547777	0.483076401773889
29	0.463078743738863	0.926157487477725	0.536921256261137
30	0.506747013353768	0.986505973292463	0.493252986646232
31	0.44565377294838	0.89130754589676	0.55434622705162
32	0.465491339750308	0.930982679500616	0.534508660249692
33	0.436756926540898	0.873513853081797	0.563243073459102
34	0.377355758782149	0.754711517564297	0.622644241217851
35	0.383235569844976	0.766471139689953	0.616764430155024
36	0.872490969840976	0.255018060318049	0.127509030159024
37	0.854243637273195	0.291512725453611	0.145756362726805
38	0.843868190192752	0.312263619614495	0.156131809807248
39	0.86983170347272	0.260336593054561	0.13016829652728
40	0.858598860235717	0.282802279528566	0.141401139764283
41	0.836048654309075	0.327902691381849	0.163951345690925
42	0.818295175311965	0.363409649376069	0.181704824688034
43	0.82538333655674	0.349233326886521	0.174616663443261
44	0.78987162613574	0.420256747728522	0.210128373864261
45	0.754017252421347	0.491965495157305	0.245982747578653
46	0.891119919182046	0.217760161635908	0.108880080817954
47	0.903962631297958	0.192074737404084	0.096037368702042
48	0.885641138297568	0.228717723404864	0.114358861702432
49	0.867181094672995	0.26563781065401	0.132818905327005
50	0.863630301126328	0.272739397747345	0.136369698873672
51	0.834524955649984	0.330950088700032	0.165475044350016
52	0.801971958083848	0.396056083832305	0.198028041916152
53	0.82133072912568	0.35733854174864	0.17866927087432
54	0.805592441774452	0.388815116451097	0.194407558225548
55	0.81648664579713	0.36702670840574	0.18351335420287
56	0.813364083862309	0.373271832275382	0.186635916137691
57	0.78108014225155	0.437839715496899	0.218919857748449
58	0.766377102660677	0.467245794678646	0.233622897339323
59	0.732810400722218	0.534379198555564	0.267189599277782
60	0.744636135836669	0.510727728326662	0.255363864163331
61	0.71133398538918	0.57733202922164	0.28866601461082
62	0.675907236742245	0.648185526515511	0.324092763257755
63	0.639995870169534	0.720008259660932	0.360004129830466
64	0.611706644250929	0.776586711498142	0.388293355749071
65	0.579483210142838	0.841033579714325	0.420516789857162
66	0.554282546020738	0.891434907958523	0.445717453979262
67	0.543706263096033	0.912587473807933	0.456293736903967
68	0.669899281643754	0.660201436712492	0.330100718356246
69	0.79090967691107	0.418180646177859	0.209090323088929
70	0.761046483807871	0.477907032384258	0.238953516192129
71	0.840187838057255	0.319624323885489	0.159812161942745
72	0.813189137313957	0.373621725372086	0.186810862686043
73	0.80995361744857	0.380092765102862	0.190046382551431
74	0.78947456689281	0.42105086621438	0.21052543310719
75	0.755205403307836	0.489589193384328	0.244794596692164
76	0.804062269554707	0.391875460890586	0.195937730445293
77	0.771974829267337	0.456050341465326	0.228025170732663
78	0.747745985734742	0.504508028530515	0.252254014265258
79	0.748780457803173	0.502439084393653	0.251219542196827
80	0.713284475108605	0.573431049782789	0.286715524891395
81	0.678867717270005	0.642264565459989	0.321132282729995
82	0.821308573984017	0.357382852031966	0.178691426015983
83	0.78960587936211	0.420788241275781	0.21039412063789
84	0.76176988050208	0.47646023899584	0.23823011949792
85	0.729334658513494	0.541330682973013	0.270665341486506
86	0.707245993847379	0.585508012305243	0.292754006152621
87	0.665154968316836	0.669690063366329	0.334845031683164
88	0.624638565703951	0.750722868592098	0.375361434296049
89	0.592601582737383	0.814796834525234	0.407398417262617
90	0.56577933075132	0.86844133849736	0.43422066924868
91	0.553552243242821	0.892895513514358	0.446447756757179
92	0.51023300523944	0.97953398952112	0.48976699476056
93	0.469276691289987	0.938553382579974	0.530723308710013
94	0.423340319543114	0.846680639086228	0.576659680456886
95	0.457613204495776	0.915226408991552	0.542386795504224
96	0.418304180127799	0.836608360255597	0.581695819872201
97	0.375931890087518	0.751863780175037	0.624068109912482
98	0.366517262362065	0.733034524724131	0.633482737637935
99	0.323218544839733	0.646437089679467	0.676781455160267
100	0.289021664917343	0.578043329834686	0.710978335082657
101	0.261485956115856	0.522971912231712	0.738514043884144
102	0.24454145702782	0.48908291405564	0.75545854297218
103	0.292582349039923	0.585164698079846	0.707417650960077
104	0.251773059702425	0.50354611940485	0.748226940297575
105	0.272273373856185	0.54454674771237	0.727726626143815
106	0.27416081106088	0.548321622121761	0.72583918893912
107	0.261396513955554	0.522793027911108	0.738603486044446
108	0.236107307456981	0.472214614913962	0.763892692543019
109	0.237755858187344	0.475511716374688	0.762244141812656
110	0.214169176578895	0.428338353157789	0.785830823421105
111	0.198466599164718	0.396933198329435	0.801533400835282
112	0.171764799044167	0.343529598088334	0.828235200955833
113	0.252813897358849	0.505627794717698	0.747186102641151
114	0.222381380575904	0.444762761151808	0.777618619424096
115	0.233278791687221	0.466557583374443	0.766721208312779
116	0.217282117632029	0.434564235264057	0.782717882367971
117	0.191319501861085	0.382639003722169	0.808680498138915
118	0.209029444935229	0.418058889870458	0.79097055506477
119	0.207371939209377	0.414743878418753	0.792628060790623
120	0.214488140003757	0.428976280007513	0.785511859996243
121	0.183861321992359	0.367722643984719	0.81613867800764
122	0.15098000918214	0.30196001836428	0.84901999081786
123	0.160306282345406	0.320612564690812	0.839693717654594
124	0.130734344416844	0.261468688833689	0.869265655583155
125	0.105118662106412	0.210237324212824	0.894881337893588
126	0.0817034809493618	0.163406961898724	0.918296519050638
127	0.0618465323968112	0.123693064793622	0.938153467603189
128	0.0698068749293859	0.139613749858772	0.930193125070614
129	0.0588521610281826	0.117704322056365	0.941147838971817
130	0.0573086857721969	0.114617371544394	0.942691314227803
131	0.0723365175913453	0.144673035182691	0.927663482408655
132	0.0767635465055291	0.153527093011058	0.92323645349447
133	0.184392133583688	0.368784267167375	0.815607866416312
134	0.162246001937763	0.324492003875527	0.837753998062237
135	0.14716613767936	0.29433227535872	0.85283386232064
136	0.113670637647327	0.227341275294655	0.886329362352673
137	0.0884774553390559	0.176954910678112	0.911522544660944
138	0.0759884573624347	0.151976914724869	0.924011542637565
139	0.119401676945359	0.238803353890718	0.88059832305464
140	0.088804929663106	0.177609859326212	0.911195070336894
141	0.49669434593288	0.99338869186576	0.50330565406712
142	0.43027815035921	0.86055630071842	0.56972184964079
143	0.411679281080796	0.823358562161593	0.588320718919204
144	0.656404023008288	0.687191953983423	0.343595976991712
145	0.704149984140161	0.591700031719678	0.295850015859839
146	0.622792459575825	0.75441508084835	0.377207540424175
147	0.542639497292724	0.914721005414552	0.457360502707276
148	0.637423892493747	0.725152215012505	0.362576107506253
149	0.519627816028275	0.96074436794345	0.480372183971725
150	0.416387772767785	0.83277554553557	0.583612227232215

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	0	0	OK