Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 18.2629853555223 + 0.336031993936646Separate[t] + 0.324387357179274Learning[t] -0.139120947054739Software[t] + 0.0353030642697486Happiness[t] -0.0228636599266878Depression[t] + 0.0349149616469267Belonging[t] -0.0249943108224535Belonging_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)	18.2629853555223	4.192248	4.3564	2.4e-05	1.2e-05
Separate	0.336031993936646	0.07061	4.759	4e-06	2e-06
Learning	0.324387357179274	0.133361	2.4324	0.016145	0.008073
Software	-0.139120947054739	0.137233	-1.0138	0.312289	0.156145
Happiness	0.0353030642697486	0.129038	0.2736	0.784768	0.392384
Depression	-0.0228636599266878	0.095489	-0.2394	0.811084	0.405542
Belonging	0.0349149616469267	0.075203	0.4643	0.643107	0.321554
Belonging_Final	-0.0249943108224535	0.108077	-0.2313	0.817417	0.408708

Multiple Linear Regression - Regression Statistics
Multiple R	0.427051855095818
R-squared	0.182373286940779
Adjusted R-squared	0.145208436347178
F-TEST (value)	4.90714435892768
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	5.02586788058146e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.1204734771678
Sum Squared Residuals	1499.55262714299

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	34.8503394054134	6.14966059458662
2	39	34.7878082061136	4.21219179388636
3	30	35.4235196060377	-5.42351960603768
4	31	34.8469343695324	-3.84693436953245
5	34	35.0175307771655	-1.01753077716547
6	35	32.7434649900083	2.25653500999167
7	39	34.0908314375533	4.90916856244672
8	34	35.0894725782011	-1.08947257820108
9	36	34.6559493187993	1.34405068120067
10	37	36.7744086619859	0.225591338014142
11	38	34.3840416450051	3.61595835499491
12	36	34.7572641130845	1.24273588691549
13	38	34.8444686131146	3.15553138688543
14	39	35.9974218835165	3.00257811648354
15	33	36.2436617446859	-3.24366174468589
16	32	33.8478243951801	-1.84782439518007
17	36	34.1586398459486	1.84136015405143
18	38	37.9219725779526	0.0780274220473866
19	39	36.8162402389319	2.1837597610681
20	32	33.894734585242	-1.89473458524196
21	32	34.766938715043	-2.76693871504304
22	31	33.5434337015664	-2.54343370156644
23	39	36.6674632522587	2.33253674774132
24	37	36.1620943003782	0.837905699621849
25	39	35.3301400823102	3.66985991768981
26	41	34.4524408840173	6.54755911598267
27	36	35.7152238765492	0.284776123450821
28	33	35.0749569084271	-2.07495690842705
29	33	34.6808652521655	-1.68086525216554
30	34	33.8329135674704	0.167086432529573
31	31	32.7957919692103	-1.79579196921027
32	27	32.9722704796078	-5.97227047960777
33	37	33.6059131024059	3.39408689759415
34	34	36.0781251801717	-2.07812518017167
35	34	32.9468782375337	1.05312176246635
36	32	32.4100583759496	-0.410058375949615
37	29	32.2244325202422	-3.22443252024215
38	36	33.8834017477768	2.11659825222321
39	29	34.3542796925317	-5.35427969253167
40	35	34.7407039350873	0.259296064912704
41	37	34.5977336053841	2.40226639461589
42	34	33.9876430279584	0.0123569720415818
43	38	34.8594775199549	3.14052248004515
44	35	33.6465545878015	1.35344541219852
45	38	32.3536025268491	5.64639747315092
46	37	33.3884657946332	3.61153420536684
47	38	35.6195739742404	2.38042602575957
48	33	34.7704826199945	-1.77048261999448
49	36	36.483211723396	-0.483211723395974
50	38	33.5892985101701	4.41070148982986
51	32	36.0250455726567	-4.02504557265669
52	32	33.0078403618329	-1.00784036183286
53	32	32.8268789885384	-0.826878988538431
54	34	35.5323613848115	-1.53236138481151
55	32	32.7118745470261	-0.711874547026151
56	37	34.4566930011134	2.5433069988866
57	39	34.9354041237109	4.06459587628908
58	29	34.8221339000868	-5.8221339000868
59	37	35.3646540841587	1.63534591584128
60	35	34.9370352159452	0.0629647840547729
61	30	31.4665091791093	-1.46650917910928
62	38	34.9571034757691	3.04289652423086
63	34	34.9442874470568	-0.944287447056812
64	31	34.2501037571595	-3.25010375715953
65	34	33.4936375745621	0.506362425437858
66	35	36.072187976472	-1.07218797647202
67	36	35.1696622161331	0.830337783866912
68	30	33.3177895120583	-3.31778951205827
69	39	35.4096391919849	3.59036080801507
70	35	35.7857415055571	-0.785741505557147
71	38	33.927611207482	4.07238879251801
72	31	35.3257835092312	-4.32578350923122
73	34	37.1202156484346	-3.1202156484346
74	38	37.6418455629045	0.358154437095542
75	34	32.7471763555555	1.25282364444447
76	39	34.1641446562605	4.83585534373955
77	37	35.7500109977931	1.24998900220693
78	34	33.7194847590275	0.280515240972456
79	28	32.9735992693893	-4.97359926938928
80	37	32.1703581099828	4.82964189001718
81	33	35.76747286458	-2.76747286458002
82	37	37.2341581825003	-0.234158182500295
83	35	35.8949067960171	-0.894906796017078
84	37	34.3129220925197	2.68707790748033
85	32	34.6928626967719	-2.69286269677192
86	33	34.1897001707668	-1.18970017076684
87	38	36.383764117577	1.61623588242301
88	33	34.7880697793308	-1.78806977933084
89	29	33.7133361201059	-4.71333612010591
90	33	33.6618130298843	-0.661813029884273
91	31	34.7026753158317	-3.7026753158317
92	36	33.620360636121	2.37963936387903
93	35	37.332075591116	-2.33207559111602
94	32	32.682828115227	-0.682828115226952
95	29	32.740297011634	-3.74029701163399
96	39	36.0909384737837	2.90906152621628
97	37	34.797925747144	2.20207425285596
98	35	34.4344577101443	0.56554228985567
99	37	35.1858563068952	1.81414369310483
100	32	35.3150588193169	-3.31505881931686
101	38	35.5029501848184	2.4970498151816
102	37	35.1658388661963	1.83416113380368
103	36	37.0556547553594	-1.05565475535944
104	32	32.3988209877631	-0.39882098776309
105	33	36.7753771829888	-3.7753771829888
106	40	32.7963621282597	7.20363787174031
107	38	35.6613920963292	2.33860790367084
108	41	36.4569137860485	4.54308621395154
109	36	34.7546438561613	1.24535614383866
110	43	35.9556924731715	7.04430752682852
111	30	35.0565798494001	-5.05657984940008
112	31	34.1238819052851	-3.12388190528513
113	32	37.929820867378	-5.92982086737802
114	32	33.2418655055724	-1.24186550557238
115	37	34.0294076792184	2.97059232078157
116	37	35.060609936105	1.93939006389501
117	33	35.6718631343822	-2.67186313438223
118	34	36.6740334968865	-2.67403349688645
119	33	34.3586516285645	-1.35865162856446
120	38	35.7998309413176	2.20016905868237
121	33	34.5241519010363	-1.52415190103631
122	31	32.3954250431049	-1.39542504310488
123	38	35.9516019047418	2.04839809525823
124	37	36.1001467423607	0.89985325763934
125	33	33.4393091316037	-0.43930913160367
126	31	34.2464136022439	-3.24641360224391
127	39	34.6755123147973	4.32448768520269
128	44	37.2079607525004	6.79203924749957
129	33	35.8965303531806	-2.89653035318063
130	35	33.3608049713708	1.63919502862923
131	32	34.7876701984545	-2.78767019845446
132	28	31.8946217313785	-3.89462173137852
133	40	36.6130223833685	3.38697761663155
134	27	32.1625541814688	-5.16255418146878
135	37	35.5933236699334	1.40667633006656
136	32	32.9873583435175	-0.987358343517515
137	28	29.5437015424129	-1.54370154241285
138	34	34.683618273408	-0.683618273408011
139	30	33.2342788000179	-3.23427880001787
140	35	33.9805846764394	1.01941532356059
141	31	32.9360570035502	-1.93605700355021
142	32	35.1268083243711	-3.1268083243711
143	30	35.2046996993037	-5.20469969930372
144	30	35.3497432182333	-5.3497432182333
145	31	31.4454843072378	-0.445484307237821
146	40	32.856976423377	7.14302357662297
147	32	33.1355388950338	-1.13553889503384
148	36	34.1439414313978	1.85605856860215
149	32	33.8417438554998	-1.84174385549984
150	35	33.2633282235463	1.73667177645372
151	38	35.5718184370554	2.42818156294455
152	42	35.4072141553606	6.59278584463943
153	34	36.7835819386775	-2.7835819386775
154	35	37.2871055660989	-2.28710556609887
155	35	34.3342236015332	0.665776398466767
156	33	32.3069342762546	0.693065723745405
157	36	33.620360636121	2.37963936387903
158	32	35.5870077412556	-3.58700774125556
159	33	35.8965303531806	-2.89653035318063
160	34	34.5871902813244	-0.587190281324418
161	32	34.499017982794	-2.49901798279399
162	34	34.8167205366189	-0.816720536618947

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.185868997956101	0.371737995912202	0.814131002043899
12	0.871126519820884	0.257746960358233	0.128873480179116
13	0.917785607363361	0.164428785273279	0.0822143926366395
14	0.878254971065549	0.243490057868903	0.121745028934451
15	0.840974874562457	0.318050250875085	0.159025125437543
16	0.865021290690045	0.26995741861991	0.134978709309955
17	0.821693889765804	0.356612220468392	0.178306110234196
18	0.789006256280515	0.421987487438971	0.210993743719485
19	0.742707446720568	0.514585106558864	0.257292553279432
20	0.770547434122857	0.458905131754286	0.229452565877143
21	0.790254852576261	0.419490294847478	0.209745147423739
22	0.749217757834837	0.501564484330327	0.250782242165163
23	0.705947260246019	0.588105479507962	0.294052739753981
24	0.638800859989383	0.722398280021234	0.361199140010617
25	0.633268371280511	0.733463257438979	0.366731628719489
26	0.779503496322743	0.440993007354514	0.220496503677257
27	0.773102592418728	0.453794815162545	0.226897407581272
28	0.729322465835068	0.541355068329863	0.270677534164932
29	0.738390077148154	0.523219845703693	0.261609922851846
30	0.682610292386296	0.634779415227408	0.317389707613704
31	0.645134194960436	0.709731610079128	0.354865805039564
32	0.803653205619384	0.392693588761233	0.196346794380616
33	0.801253682643224	0.397492634713552	0.198746317356776
34	0.765074623665269	0.469850752669462	0.234925376334731
35	0.71755905089245	0.5648818982151	0.28244094910755
36	0.671110324094214	0.657779351811572	0.328889675905786
37	0.659073000016095	0.681853999967811	0.340926999983905
38	0.626294877302242	0.747410245395517	0.373705122697758
39	0.744233054141722	0.511533891716556	0.255766945858278
40	0.697111287933563	0.605777424132873	0.302888712066437
41	0.667212852233555	0.665574295532891	0.332787147766445
42	0.615448643113675	0.76910271377265	0.384551356886325
43	0.586125123901757	0.827749752196487	0.413874876098243
44	0.537555411124532	0.924889177750936	0.462444588875468
45	0.634730088415485	0.730539823169031	0.365269911584515
46	0.6410405470008	0.717918905998401	0.3589594529992
47	0.623760500467487	0.752478999065027	0.376239499532513
48	0.593050052289299	0.813899895421402	0.406949947710701
49	0.545345436763086	0.909309126473828	0.454654563236914
50	0.572387047129628	0.855225905740745	0.427612952870372
51	0.618862868054639	0.762274263890722	0.381137131945361
52	0.579867418097314	0.840265163805371	0.420132581902686
53	0.534978066211185	0.93004386757763	0.465021933788815
54	0.486234191594764	0.972468383189528	0.513765808405236
55	0.441307165698593	0.882614331397186	0.558692834301407
56	0.430486646517827	0.860973293035654	0.569513353482173
57	0.457975307511584	0.915950615023168	0.542024692488416
58	0.593083681731848	0.813832636536305	0.406916318268152
59	0.553952918186369	0.892094163627262	0.446047081813631
60	0.50555940340158	0.988881193196841	0.49444059659842
61	0.469026359389676	0.938052718779352	0.530973640610324
62	0.453523263933423	0.907046527866846	0.546476736066577
63	0.419810151658764	0.839620303317529	0.580189848341236
64	0.426247206904205	0.85249441380841	0.573752793095795
65	0.380744190473863	0.761488380947727	0.619255809526137
66	0.344715055638475	0.689430111276951	0.655284944361525
67	0.304223928374067	0.608447856748135	0.695776071625933
68	0.334892545079033	0.669785090158066	0.665107454920967
69	0.345486365289056	0.690972730578113	0.654513634710944
70	0.306021113937705	0.612042227875411	0.693978886062295
71	0.33907245226997	0.67814490453994	0.66092754773003
72	0.377914572185559	0.755829144371118	0.622085427814441
73	0.378925146067661	0.757850292135322	0.621074853932339
74	0.335406821220178	0.670813642440356	0.664593178779822
75	0.3007718588263	0.601543717652599	0.6992281411737
76	0.356308717806686	0.712617435613373	0.643691282193314
77	0.318767445274823	0.637534890549645	0.681232554725177
78	0.278253678827507	0.556507357655014	0.721746321172493
79	0.342165867749578	0.684331735499157	0.657834132250422
80	0.417807349655203	0.835614699310405	0.582192650344797
81	0.407568161462482	0.815136322924963	0.592431838537518
82	0.362945192875974	0.725890385751949	0.637054807124026
83	0.323405064772599	0.646810129545198	0.676594935227401
84	0.3117946951542	0.623589390308401	0.6882053048458
85	0.298876532721288	0.597753065442576	0.701123467278712
86	0.265082865905618	0.530165731811236	0.734917134094382
87	0.238293481019026	0.476586962038053	0.761706518980974
88	0.213007993583082	0.426015987166164	0.786992006416918
89	0.250384017614441	0.500768035228883	0.749615982385559
90	0.216434526098507	0.432869052197013	0.783565473901493
91	0.230629276022684	0.461258552045368	0.769370723977316
92	0.216068074255365	0.43213614851073	0.783931925744635
93	0.202442447920967	0.404884895841935	0.797557552079033
94	0.172236329501922	0.344472659003844	0.827763670498078
95	0.179582142680519	0.359164285361038	0.820417857319481
96	0.17549246144802	0.35098492289604	0.82450753855198
97	0.160289045264962	0.320578090529923	0.839710954735038
98	0.137048647900381	0.274097295800762	0.862951352099619
99	0.120270107977868	0.240540215955735	0.879729892022132
100	0.119163799974447	0.238327599948894	0.880836200025553
101	0.10998703328877	0.21997406657754	0.89001296671123
102	0.0965294643197756	0.193058928639551	0.903470535680224
103	0.0790856421687475	0.158171284337495	0.920914357831253
104	0.0649092095457354	0.129818419091471	0.935090790454265
105	0.0762720249200906	0.152544049840181	0.923727975079909
106	0.182706729417198	0.365413458834396	0.817293270582802
107	0.169859135013721	0.339718270027443	0.830140864986279
108	0.193794831674513	0.387589663349026	0.806205168325487
109	0.180040605893118	0.360081211786236	0.819959394106882
110	0.380724337251454	0.761448674502909	0.619275662748546
111	0.456715087555245	0.913430175110491	0.543284912444755
112	0.440209420697281	0.880418841394562	0.559790579302719
113	0.569095535017882	0.861808929964236	0.430904464982118
114	0.522292621459744	0.955414757080512	0.477707378540256
115	0.507719677230702	0.984560645538596	0.492280322769298
116	0.472081698331836	0.944163396663673	0.527918301668164
117	0.442332254328133	0.884664508656266	0.557667745671867
118	0.418308411480951	0.836616822961901	0.581691588519049
119	0.372598547029916	0.745197094059832	0.627401452970084
120	0.336403095660827	0.672806191321654	0.663596904339173
121	0.291972855934124	0.583945711868248	0.708027144065876
122	0.250944068936507	0.501888137873014	0.749055931063493
123	0.215645622637923	0.431291245275845	0.784354377362077
124	0.178444522708876	0.356889045417752	0.821555477291124
125	0.14375867815762	0.28751735631524	0.85624132184238
126	0.153441404692595	0.30688280938519	0.846558595307405
127	0.170795548985604	0.341591097971207	0.829204451014396
128	0.349628553283285	0.69925710656657	0.650371446716715
129	0.320750972885802	0.641501945771604	0.679249027114198
130	0.284001116606466	0.568002233212932	0.715998883393534
131	0.252359479083502	0.504718958167004	0.747640520916498
132	0.294714367728781	0.589428735457562	0.705285632271219
133	0.365841607372556	0.731683214745112	0.634158392627444
134	0.476186391885257	0.952372783770514	0.523813608114743
135	0.420224572277482	0.840449144554963	0.579775427722518
136	0.35813142170058	0.716262843401159	0.64186857829942
137	0.314391932790547	0.628783865581094	0.685608067209453
138	0.254386842827389	0.508773685654778	0.745613157172611
139	0.303572026194395	0.60714405238879	0.696427973805605
140	0.24858864587961	0.49717729175922	0.75141135412039
141	0.476522941384608	0.953045882769217	0.523477058615392
142	0.414987233779988	0.829974467559977	0.585012766220012
143	0.441212214335556	0.882424428671113	0.558787785664444
144	0.702761449898956	0.594477100202088	0.297238550101044
145	0.613255350420532	0.773489299158935	0.386744649579468
146	0.944288864571204	0.111422270857591	0.0557111354287957
147	0.92429656205953	0.15140687588094	0.0757034379404701
148	0.946480751173226	0.107038497653548	0.0535192488267738
149	0.944752966784571	0.110494066430858	0.0552470332154288
150	0.882424288194319	0.235151423611363	0.117575711805681
151	0.769367917204775	0.46126416559045	0.230632082795225

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