Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 10.6151632543847 + 0.0988310844695452Connected[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)	10.6151632543847	1.885244	5.6307	0	0
Connected	0.0988310844695452	0.054195	1.8236	0.070074	0.035037

Multiple Linear Regression - Regression Statistics
Multiple R	0.142695535921038
R-squared	0.0203620159717923
Adjusted R-squared	0.0142392785716159
F-TEST (value)	3.32563927553156
F-TEST (DF numerator)	1
F-TEST (DF denominator)	160
p-value	0.0700735573932144
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.32091540212994
Sum Squared Residuals	861.863728615039

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	14.6672377176361	-0.667237717636079
2	18	14.469575548697	3.53042445130304
3	11	13.5800957884711	-2.58009578847105
4	12	13.6789268729406	-1.6789268729406
5	16	13.9754201263492	2.02457987365077
6	18	14.0742512108188	3.92574878918122
7	14	14.469575548697	-0.46957554869696
8	14	13.9754201263492	0.024579873650766
9	15	14.1730822952883	0.826917704711675
10	15	14.2719133797579	0.72808662024213
11	17	14.3707444642274	2.62925553577259
12	19	14.1730822952883	4.82691770471168
13	10	14.3707444642274	-4.37074446422742
14	16	14.469575548697	1.53042445130304
15	18	13.8765890418797	4.12341095812031
16	14	13.7777579574101	0.222242042589856
17	14	14.1730822952883	-0.173082295288324
18	17	14.3707444642274	2.62925553577259
19	14	14.469575548697	-0.46957554869696
20	16	13.7777579574101	2.22224204258986
21	18	13.7777579574101	4.22224204258986
22	11	13.6789268729406	-2.6789268729406
23	14	14.469575548697	-0.46957554869696
24	12	14.2719133797579	-2.27191337975787
25	17	14.469575548697	2.53042445130304
26	9	14.6672377176361	-5.66723771763605
27	16	14.1730822952883	1.82691770471168
28	14	13.8765890418797	0.123410958120311
29	15	13.8765890418797	1.12341095812031
30	11	13.9754201263492	-2.97542012634923
31	16	13.6789268729406	2.3210731270594
32	13	13.2836025350624	-0.283602535062418
33	17	14.2719133797579	2.72808662024213
34	15	13.9754201263492	1.02457987365077
35	14	13.9754201263492	0.024579873650766
36	16	13.7777579574101	2.22224204258986
37	9	13.4812647040015	-4.48126470400151
38	15	14.1730822952883	0.826917704711675
39	17	13.4812647040015	3.51873529599849
40	13	14.0742512108188	-1.07425121081878
41	15	14.2719133797579	0.72808662024213
42	16	13.9754201263492	2.02457987365077
43	16	14.3707444642274	1.62925553577259
44	12	14.0742512108188	-2.07425121081878
45	12	14.3707444642274	-2.37074446422741
46	11	14.2719133797579	-3.27191337975787
47	15	14.3707444642274	0.629255535772585
48	15	13.8765890418797	1.12341095812031
49	17	14.1730822952883	2.82691770471168
50	13	14.3707444642274	-1.37074446422741
51	16	13.7777579574101	2.22224204258986
52	14	13.7777579574101	0.222242042589856
53	11	13.7777579574101	-2.77775795741014
54	12	13.9754201263492	-1.97542012634923
55	12	13.7777579574101	-1.77775795741014
56	15	14.2719133797579	0.72808662024213
57	16	14.469575548697	1.53042445130304
58	15	13.4812647040015	1.51873529599849
59	12	14.2719133797579	-2.27191337975787
60	12	14.0742512108188	-2.07425121081878
61	8	13.5800957884711	-5.58009578847105
62	13	14.3707444642274	-1.37074446422741
63	11	13.9754201263492	-2.97542012634923
64	14	13.6789268729406	0.321073127059401
65	15	13.9754201263492	1.02457987365077
66	10	14.0742512108188	-4.07425121081878
67	11	14.1730822952883	-3.17308229528832
68	12	13.5800957884711	-1.58009578847105
69	15	14.469575548697	0.53042445130304
70	15	14.0742512108188	0.92574878918122
71	14	14.3707444642274	-0.370744464227415
72	16	13.6789268729406	2.3210731270594
73	15	13.9754201263492	1.02457987365077
74	15	14.3707444642274	0.629255535772585
75	13	13.9754201263492	-0.975420126349234
76	12	14.469575548697	-2.46957554869696
77	17	14.2719133797579	2.72808662024213
78	13	13.9754201263492	-0.975420126349234
79	15	13.382433619532	1.61756638046804
80	13	14.2719133797579	-1.27191337975787
81	15	13.8765890418797	1.12341095812031
82	16	14.2719133797579	1.72808662024213
83	15	14.0742512108188	0.92574878918122
84	16	14.2719133797579	1.72808662024213
85	15	13.7777579574101	1.22224204258986
86	14	13.8765890418797	0.123410958120311
87	15	14.3707444642274	0.629255535772585
88	14	13.8765890418797	0.123410958120311
89	13	13.4812647040015	-0.481264704001508
90	7	13.8765890418797	-6.87658904187969
91	17	13.6789268729406	3.3210731270594
92	13	14.1730822952883	-1.17308229528832
93	15	14.0742512108188	0.92574878918122
94	14	13.7777579574101	0.222242042589856
95	13	13.4812647040015	-0.481264704001508
96	16	14.469575548697	1.53042445130304
97	12	14.2719133797579	-2.27191337975787
98	14	14.0742512108188	-0.0742512108187792
99	17	14.2719133797579	2.72808662024213
100	15	13.7777579574101	1.22224204258986
101	17	14.3707444642274	2.62925553577259
102	12	14.2719133797579	-2.27191337975787
103	16	14.1730822952883	1.82691770471168
104	11	13.7777579574101	-2.77775795741014
105	15	13.8765890418797	1.12341095812031
106	9	14.5684066331665	-5.5684066331665
107	16	14.3707444642274	1.62925553577259
108	15	14.6672377176361	0.33276228236395
109	10	14.1730822952883	-4.17308229528832
110	10	14.8648998865751	-4.86489988657514
111	15	13.5800957884711	1.41990421152895
112	11	13.6789268729406	-2.6789268729406
113	13	13.7777579574101	-0.777757957410144
114	14	13.7777579574101	0.222242042589856
115	18	14.2719133797579	3.72808662024213
116	16	14.2719133797579	1.72808662024213
117	14	13.8765890418797	0.123410958120311
118	14	13.9754201263492	0.024579873650766
119	14	13.8765890418797	0.123410958120311
120	14	14.3707444642274	-0.370744464227415
121	12	13.8765890418797	-1.87658904187969
122	14	13.6789268729406	0.321073127059401
123	15	14.3707444642274	0.629255535772585
124	15	14.2719133797579	0.72808662024213
125	15	13.8765890418797	1.12341095812031
126	13	13.6789268729406	-0.678926872940599
127	17	14.469575548697	2.53042445130304
128	17	14.9637309710447	2.03626902895531
129	19	13.8765890418797	5.12341095812031
130	15	14.0742512108188	0.92574878918122
131	13	13.7777579574101	-0.777757957410144
132	9	13.382433619532	-4.38243361953196
133	15	14.5684066331665	0.431593366833495
134	15	13.2836025350624	1.71639746493758
135	15	14.2719133797579	0.72808662024213
136	16	13.7777579574101	2.22224204258986
137	11	13.382433619532	-2.38243361953196
138	14	13.9754201263492	0.024579873650766
139	11	13.5800957884711	-2.58009578847105
140	15	14.0742512108188	0.92574878918122
141	13	13.6789268729406	-0.678926872940599
142	15	13.7777579574101	1.22224204258986
143	16	13.5800957884711	2.41990421152895
144	14	13.5800957884711	0.419904211528947
145	15	13.6789268729406	1.3210731270594
146	16	14.5684066331665	1.43159336683349
147	16	13.7777579574101	2.22224204258986
148	11	14.1730822952883	-3.17308229528832
149	12	13.7777579574101	-1.77775795741014
150	9	14.0742512108188	-5.07425121081878
151	16	14.3707444642274	1.62925553577259
152	13	14.7660688021056	-1.7660688021056
153	16	13.9754201263492	2.02457987365077
154	12	14.0742512108188	-2.07425121081878
155	9	14.0742512108188	-5.07425121081878
156	13	13.8765890418797	-0.876589041879689
157	13	14.1730822952883	-1.17308229528832
158	14	13.7777579574101	0.222242042589856
159	19	13.8765890418797	5.12341095812031
160	13	13.9754201263492	-0.975420126349234
161	12	13.7777579574101	-1.77775795741014
162	13	13.9754201263492	-0.975420126349234

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0.6605887561615	0.678822487677	0.3394112438385
6	0.770859700574908	0.458280598850185	0.229140299425092
7	0.73008970340539	0.53982059318922	0.26991029659461
8	0.617847003658632	0.764305992682736	0.382152996341368
9	0.50254245214866	0.99491509570268	0.49745754785134
10	0.39264669358511	0.78529338717022	0.60735330641489
11	0.33816364252814	0.67632728505628	0.66183635747186
12	0.529701933320284	0.940596133359432	0.470298066679716
13	0.846693028637118	0.306613942725764	0.153306971362882
14	0.795086559810346	0.409826880379308	0.204913440189654
15	0.856769188505096	0.286461622989807	0.143230811494904
16	0.808970250374657	0.382059499250685	0.191029749625343
17	0.762612437686721	0.474775124626557	0.237387562313279
18	0.732718988081313	0.534562023837375	0.267281011918687
19	0.69666815486391	0.60666369027218	0.30333184513609
20	0.663596642585807	0.672806714828385	0.336403357414193
21	0.72676430637297	0.54647138725406	0.27323569362703
22	0.783666022674086	0.432667954651828	0.216333977325914
23	0.750271077075783	0.499457845848435	0.249728922924218
24	0.775728723833985	0.448542552332029	0.224271276166015
25	0.757120668214624	0.485758663570753	0.242879331785376
26	0.93245412076277	0.13509175847446	0.0675458792372299
27	0.918287640501737	0.163424718996525	0.0817123594982626
28	0.89528149077705	0.209437018445898	0.104718509222949
29	0.868288384208331	0.263423231583338	0.131711615791669
30	0.897286661254193	0.205426677491614	0.102713338745807
31	0.884349576253403	0.231300847493193	0.115650423746597
32	0.861876950052785	0.276246099894431	0.138123049947215
33	0.861475405902332	0.277049188195337	0.138524594097669
34	0.831269159798944	0.337461680402112	0.168730840201056
35	0.796403689799238	0.407192620401525	0.203596310200762
36	0.778057733882599	0.443884532234802	0.221942266117401
37	0.883898620162633	0.232202759674734	0.116101379837367
38	0.857705068933031	0.284589862133938	0.142294931066969
39	0.879419224480269	0.241161551039462	0.120580775519731
40	0.862057770955573	0.275884458088853	0.137942229044427
41	0.83311236757655	0.333775264846899	0.166887632423449
42	0.817129568400172	0.365740863199655	0.182870431599828
43	0.793456070919726	0.413087858160549	0.206543929080274
44	0.795420941167247	0.409158117665506	0.204579058832753
45	0.80376450302413	0.392470993951739	0.196235496975869
46	0.840640510548153	0.318718978903695	0.159359489451847
47	0.810330679631926	0.379338640736148	0.189669320368074
48	0.780457222797976	0.439085554404048	0.219542777202024
49	0.788976672830175	0.422046654339651	0.211023327169825
50	0.768195903878473	0.463608192243054	0.231804096121527
51	0.756051772692242	0.487896454615517	0.243948227307758
52	0.717895545711525	0.56420890857695	0.282104454288475
53	0.746419693722692	0.507160612554617	0.253580306277308
54	0.741050469785959	0.517899060428083	0.258949530214041
55	0.729810948407811	0.540378103184378	0.270189051592189
56	0.692299571906262	0.615400856187476	0.307700428093738
57	0.665867842593836	0.668264314812327	0.334132157406164
58	0.636577992034533	0.726844015930935	0.363422007965467
59	0.638613027275899	0.722773945448203	0.361386972724101
60	0.633499837908005	0.73300032418399	0.366500162091995
61	0.816787291688104	0.366425416623793	0.183212708311896
62	0.796860289548384	0.406279420903233	0.203139710451616
63	0.816638243358691	0.366723513282618	0.183361756641309
64	0.785031463741032	0.429937072517935	0.214968536258968
65	0.756448290970696	0.487103418058608	0.243551709029304
66	0.822881437787884	0.354237124424233	0.177118562212116
67	0.846154654659	0.307690690682	0.153845345341
68	0.830520806157997	0.338958387684006	0.169479193842003
69	0.801699477511494	0.396601044977011	0.198300522488506
70	0.773813201070506	0.452373597858988	0.226186798929494
71	0.73915249627328	0.521695007453439	0.260847503726719
72	0.738431988948926	0.523136022102148	0.261568011051074
73	0.707601463873401	0.584797072253198	0.292398536126599
74	0.670399768575945	0.65920046284811	0.329600231424055
75	0.635853456909409	0.728293086181182	0.364146543090591
76	0.640443132585078	0.719113734829844	0.359556867414922
77	0.655223832861327	0.689552334277345	0.344776167138673
78	0.620176302826964	0.759647394346071	0.379823697173036
79	0.597161821283544	0.805676357432913	0.402838178716456
80	0.565965297902049	0.868069404195902	0.434034702097951
81	0.531387181816541	0.937225636366919	0.468612818183459
82	0.510929910150937	0.978140179698127	0.489070089849063
83	0.47292561651336	0.94585123302672	0.52707438348664
84	0.452746611900094	0.905493223800188	0.547253388099906
85	0.420393890141971	0.840787780283941	0.579606109858029
86	0.376980390811209	0.753960781622418	0.623019609188791
87	0.338059699643948	0.676119399287895	0.661940300356052
88	0.297930934250393	0.595861868500786	0.702069065749607
89	0.261570211669873	0.523140423339746	0.738429788330127
90	0.587673440041392	0.824653119917217	0.412326559958608
91	0.632807357691705	0.73438528461659	0.367192642308295
92	0.599788928507613	0.800422142984774	0.400211071492387
93	0.562458325735847	0.875083348528306	0.437541674264153
94	0.517556443342814	0.964887113314373	0.482443556657186
95	0.473579762261621	0.947159524523242	0.526420237738379
96	0.448299225371168	0.896598450742336	0.551700774628832
97	0.444208119964299	0.888416239928598	0.555791880035701
98	0.399091993683513	0.798183987367026	0.600908006316487
99	0.416564481471663	0.833128962943325	0.583435518528337
100	0.384755561751552	0.769511123503105	0.615244438248448
101	0.399677571606712	0.799355143213424	0.600322428393288
102	0.393886063434451	0.787772126868902	0.606113936565549
103	0.378719382753588	0.757438765507176	0.621280617246412
104	0.394120662876605	0.78824132575321	0.605879337123395
105	0.360641516796288	0.721283033592575	0.639358483203712
106	0.571383843291749	0.857232313416501	0.428616156708251
107	0.547647114620454	0.904705770759092	0.452352885379546
108	0.500925194419874	0.998149611160252	0.499074805580126
109	0.603544366327174	0.792911267345653	0.396455633672826
110	0.773495847191908	0.453008305616185	0.226504152808092
111	0.754530958309434	0.490938083381132	0.245469041690566
112	0.764218294925426	0.471563410149148	0.235781705074574
113	0.728374294712508	0.543251410574983	0.271625705287492
114	0.685846853155209	0.628306293689582	0.314153146844791
115	0.744494912559027	0.511010174881946	0.255505087440973
116	0.722770185542797	0.554459628914406	0.277229814457203
117	0.678534218313109	0.642931563373782	0.321465781686891
118	0.631081914356018	0.737836171287963	0.368918085643981
119	0.58157438227992	0.83685123544016	0.41842561772008
120	0.533138931382364	0.933722137235271	0.466861068617636
121	0.513665917282524	0.972668165434952	0.486334082717476
122	0.462910710972724	0.925821421945449	0.537089289027276
123	0.412573638116881	0.825147276233763	0.587426361883119
124	0.364593265121112	0.729186530242224	0.635406734878888
125	0.326996814606403	0.653993629212806	0.673003185393597
126	0.282130395517807	0.564260791035615	0.717869604482193
127	0.282121217124061	0.564242434248122	0.717878782875939
128	0.268395898887796	0.536791797775592	0.731604101112204
129	0.477136880300583	0.954273760601166	0.522863119699417
130	0.434984620509825	0.86996924101965	0.565015379490175
131	0.381808891207961	0.763617782415923	0.618191108792039
132	0.522388397224465	0.95522320555107	0.477611602775535
133	0.475904652490862	0.951809304981724	0.524095347509138
134	0.439934472430737	0.879868944861474	0.560065527569263
135	0.395701769506875	0.79140353901375	0.604298230493125
136	0.399380203947733	0.798760407895467	0.600619796052267
137	0.407538899915035	0.81507779983007	0.592461100084965
138	0.34778642713402	0.69557285426804	0.65221357286598
139	0.372511226633713	0.745022453267425	0.627488773366288
140	0.330536863416509	0.661073726833018	0.669463136583491
141	0.279568684478434	0.559137368956869	0.720431315521566
142	0.236429676793201	0.472859353586403	0.763570323206799
143	0.226399825185055	0.452799650370109	0.773600174814945
144	0.176939349848465	0.35387869969693	0.823060650151535
145	0.148719358207242	0.297438716414485	0.851280641792758
146	0.161763268511517	0.323526537023033	0.838236731488483
147	0.16659377250776	0.33318754501552	0.83340622749224
148	0.154800596342308	0.309601192684616	0.845199403657692
149	0.122003341266007	0.244006682532014	0.877996658733993
150	0.241474620006852	0.482949240013703	0.758525379993149
151	0.261991426909869	0.523982853819738	0.738008573090131
152	0.239560052744092	0.479120105488184	0.760439947255908
153	0.262822509696211	0.525645019392421	0.737177490303789
154	0.183630750690739	0.367261501381477	0.816369249309261
155	0.315250082350019	0.630500164700039	0.68474991764998
156	0.220355988051382	0.440711976102763	0.779644011948618
157	0.129232866614252	0.258465733228503	0.870767133385748

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