Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 12.5927237012958 + 0.873686081578178Geslacht[t] + 0.00447688799043145Leeftijd[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)	12.5927237012958	1.072451	11.742	0	0
Geslacht	0.873686081578178	0.376259	2.322	0.021499	0.01075
Leeftijd	0.00447688799043145	0.157565	0.0284	0.977368	0.488684

Multiple Linear Regression - Regression Statistics
Multiple R	0.181840335710965
R-squared	0.0330659076914763
Adjusted R-squared	0.0209032147064635
F-TEST (value)	2.7186337542369
F-TEST (DF numerator)	2
F-TEST (DF denominator)	159
p-value	0.0690321496308771
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.31305717678444
Sum Squared Residuals	850.687126988766

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	14.3714340803852	-0.371434080385179
2	18	14.3624803044043	3.63751969559572
3	11	14.3624803044043	-3.36248030440428
4	12	13.4887942228261	-1.4887942228261
5	16	14.3759109683756	1.62408903162442
6	18	14.3669571923947	3.63304280760529
7	14	14.3624803044043	-0.362480304404282
8	14	14.3669571923947	-0.366957192394713
9	15	14.3624803044043	0.637519695595719
10	15	14.3580034164138	0.64199658358615
11	17	13.4932711108165	3.50672888918347
12	19	14.3624803044043	4.63751969559572
13	10	13.4887942228261	-3.4887942228261
14	16	14.3669571923947	1.63304280760529
15	18	14.3714340803851	3.62856591961486
16	14	13.4932711108165	0.506728889183465
17	14	13.497747998807	0.502252001193034
18	17	14.3669571923947	2.63304280760529
19	14	13.5022248867974	0.497775113202602
20	16	14.3714340803851	1.62856591961486
21	18	13.4887942228261	4.5112057771739
22	11	14.3624803044043	-3.36248030440428
23	14	14.3714340803851	-0.371434080385145
24	12	14.3714340803851	-2.37143408038514
25	17	13.4887942228261	3.5112057771739
26	9	14.3580034164138	-5.35800341641385
27	16	13.5111786627783	2.48882133722174
28	14	14.3669571923947	-0.366957192394713
29	15	14.3624803044043	0.637519695595719
30	11	13.4887942228261	-2.4887942228261
31	16	14.3624803044043	1.63751969559572
32	13	13.4887942228261	-0.488794222826103
33	17	14.3669571923947	2.63304280760529
34	15	14.3624803044043	0.637519695595719
35	14	13.4887942228261	0.511205777173897
36	16	13.4887942228261	2.5112057771739
37	9	13.4887942228261	-4.4887942228261
38	15	13.4887942228261	1.5112057771739
39	17	14.3624803044043	2.63751969559572
40	13	13.4887942228261	-0.488794222826103
41	15	13.4887942228261	1.5112057771739
42	16	14.3714340803851	1.62856591961486
43	16	13.4887942228261	2.5112057771739
44	12	13.4932711108165	-1.49327111081653
45	12	14.3714340803851	-2.37143408038514
46	11	14.3714340803851	-3.37143408038514
47	15	14.3624803044043	0.637519695595719
48	15	14.3624803044043	0.637519695595719
49	17	14.3580034164138	2.64199658358615
50	13	13.4887942228261	-0.488794222826103
51	16	14.3580034164138	1.64199658358615
52	14	13.4887942228261	0.511205777173897
53	11	13.4887942228261	-2.4887942228261
54	12	14.3714340803851	-2.37143408038514
55	12	13.4887942228261	-1.4887942228261
56	15	14.3624803044043	0.637519695595719
57	16	14.3669571923947	1.63304280760529
58	15	14.3580034164138	0.64199658358615
59	12	13.4932711108165	-1.49327111081653
60	12	14.3669571923947	-2.36695719239471
61	8	13.4887942228261	-5.4887942228261
62	13	13.497747998807	-0.497747998806966
63	11	14.3669571923947	-3.36695719239471
64	14	14.3759109683756	-0.375910968375576
65	15	14.3714340803851	0.628565919614856
66	10	13.4887942228261	-3.4887942228261
67	11	14.3669571923947	-3.36695719239471
68	12	13.4932711108165	-1.49327111081653
69	15	14.3624803044043	0.637519695595719
70	15	13.4887942228261	1.5112057771739
71	14	13.4887942228261	0.511205777173897
72	16	14.3624803044043	1.63751969559572
73	15	14.3580034164138	0.64199658358615
74	15	13.4932711108165	1.50672888918346
75	13	13.4932711108165	-0.493271110816535
76	12	14.3669571923947	-2.36695719239471
77	17	14.3669571923947	2.63304280760529
78	13	14.3714340803851	-1.37143408038514
79	15	13.4887942228261	1.5112057771739
80	13	13.497747998807	-0.497747998806966
81	15	13.4932711108165	1.50672888918346
82	16	13.4887942228261	2.5112057771739
83	15	14.3624803044043	0.637519695595719
84	16	13.4843173348357	2.51568266516433
85	15	14.3759109683756	0.624089031624424
86	14	14.3759109683756	-0.375910968375576
87	15	13.4887942228261	1.5112057771739
88	14	14.3624803044043	-0.362480304404282
89	13	14.3669571923947	-1.36695719239471
90	7	14.3580034164138	-7.35800341641385
91	17	14.3624803044043	2.63751969559572
92	13	14.3624803044043	-1.36248030440428
93	15	14.3624803044043	0.637519695595719
94	14	14.3624803044043	-0.362480304404282
95	13	14.3669571923947	-1.36695719239471
96	16	14.3669571923947	1.63304280760529
97	12	14.3624803044043	-2.36248030440428
98	14	14.3669571923947	-0.366957192394713
99	17	13.4887942228261	3.5112057771739
100	15	13.497747998807	1.50225200119303
101	17	14.3624803044043	2.63751969559572
102	12	13.4932711108165	-1.49327111081653
103	16	14.3669571923947	1.63304280760529
104	11	13.4932711108165	-2.49327111081653
105	15	14.3580034164138	0.64199658358615
106	9	13.4887942228261	-4.4887942228261
107	16	14.3624803044043	1.63751969559572
108	15	13.497747998807	1.50225200119303
109	10	13.4932711108165	-3.49327111081654
110	10	14.380387856366	-4.38038785636601
111	15	14.3669571923947	0.633042807605287
112	11	14.3669571923947	-3.36695719239471
113	13	14.3624803044043	-1.36248030440428
114	14	13.4932711108165	0.506728889183465
115	18	14.3624803044043	3.63751969559572
116	16	13.5022248867974	2.4977751132026
117	14	14.3714340803851	-0.371434080385145
118	14	14.3624803044043	-0.362480304404282
119	14	14.3714340803851	-0.371434080385145
120	14	14.3669571923947	-0.366957192394713
121	12	14.3669571923947	-2.36695719239471
122	14	14.380387856366	-0.380387856366008
123	15	14.3714340803851	0.628565919614856
124	15	14.3669571923947	0.633042807605287
125	15	14.3624803044043	0.637519695595719
126	13	14.3624803044043	-1.36248030440428
127	17	13.4932711108165	3.50672888918347
128	17	14.3669571923947	2.63304280760529
129	19	14.3714340803851	4.62856591961486
130	15	14.3624803044043	0.637519695595719
131	13	13.4887942228261	-0.488794222826103
132	9	13.4887942228261	-4.4887942228261
133	15	14.3669571923947	0.633042807605287
134	15	13.4843173348357	1.51568266516433
135	15	13.4887942228261	1.5112057771739
136	16	14.3714340803851	1.62856591961486
137	11	13.4887942228261	-2.4887942228261
138	14	13.497747998807	0.502252001193034
139	11	14.3714340803851	-3.37143408038514
140	15	14.3669571923947	0.633042807605287
141	13	13.4887942228261	-0.488794222826103
142	15	14.3759109683756	0.624089031624424
143	16	13.4887942228261	2.5112057771739
144	14	14.3624803044043	-0.362480304404282
145	15	13.4887942228261	1.5112057771739
146	16	14.3669571923947	1.63304280760529
147	16	14.3580034164138	1.64199658358615
148	11	13.4887942228261	-2.4887942228261
149	12	13.4887942228261	-1.4887942228261
150	9	13.497747998807	-4.49774799880697
151	16	14.3669571923947	1.63304280760529
152	13	14.3714340803851	-1.37143408038514
153	16	13.5111786627783	2.48882133722174
154	12	14.3669571923947	-2.36695719239471
155	9	14.3759109683756	-5.37591096837558
156	13	14.3580034164138	-1.35800341641385
157	13	14.3624803044043	-1.36248030440428
158	14	14.3669571923947	-0.366957192394713
159	19	14.3714340803851	4.62856591961486
160	13	14.3714340803851	-1.37143408038514
161	12	14.3669571923947	-2.36695719239471
162	13	14.3669571923947	-1.36695719239471

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.909562191857022	0.180875616285956	0.0904378081429781
7	0.842653837384509	0.314692325230981	0.157346162615491
8	0.764878884104073	0.470242231791855	0.235121115895927
9	0.661377767562512	0.677244464874976	0.338622232437488
10	0.554278495259558	0.891443009480884	0.445721504740442
11	0.647034873704785	0.70593025259043	0.352965126295215
12	0.787446122681379	0.425107754637242	0.212553877318621
13	0.846023523200582	0.307952953598837	0.153976476799418
14	0.792329333648329	0.415341332703343	0.207670666351671
15	0.775311592531273	0.449376814937454	0.224688407468727
16	0.712273392557905	0.575453214884189	0.287726607442094
17	0.640382018607718	0.719235962784564	0.359617981392282
18	0.592075917779904	0.815848164440192	0.407924082220096
19	0.520299264653147	0.959401470693705	0.479700735346853
20	0.452284805434091	0.904569610868182	0.547715194565909
21	0.658509695380691	0.682980609238618	0.341490304619309
22	0.779944866992311	0.440110266015377	0.220055133007689
23	0.75458391456403	0.49083217087194	0.24541608543597
24	0.801236643827003	0.397526712345994	0.198763356172997
25	0.822242385252594	0.355515229494813	0.177757614747407
26	0.937786831047042	0.124426337905915	0.0622131689529577
27	0.925110325303535	0.149779349392929	0.0748896746964646
28	0.904083407415009	0.191833185169981	0.0959165925849905
29	0.877766870129991	0.244466259740018	0.122233129870009
30	0.887683066167952	0.224633867664095	0.112316933832048
31	0.870565837783288	0.258868324433424	0.129434162216712
32	0.840354585973022	0.319290828053956	0.159645414026978
33	0.834866556894599	0.330266886210803	0.165133443105401
34	0.799134525811858	0.401730948376284	0.200865474188142
35	0.758921631280614	0.482156737438772	0.241078368719386
36	0.75685069957743	0.486298600845141	0.24314930042257
37	0.859514473669658	0.280971052660684	0.140485526330342
38	0.84028024718463	0.31943950563074	0.15971975281537
39	0.84220928869914	0.31558142260172	0.15779071130086
40	0.810292388072678	0.379415223854644	0.189707611927322
41	0.787032471102317	0.425935057795366	0.212967528897683
42	0.756527782189467	0.486944435621066	0.243472217810533
43	0.757558718637423	0.484882562725154	0.242441281362577
44	0.745402770509875	0.50919445898025	0.254597229490125
45	0.775673496801636	0.448653006396728	0.224326503198364
46	0.835734720269073	0.328530559461853	0.164265279730927
47	0.804567550655355	0.390864898689291	0.195432449344645
48	0.770208801663739	0.459582396672523	0.229791198336261
49	0.777715283438343	0.444569433123314	0.222284716561657
50	0.74299515674845	0.514009686503101	0.257004843251551
51	0.719706736637781	0.560586526724437	0.280293263362219
52	0.678663589166447	0.642672821667106	0.321336410833553
53	0.690122135066042	0.619755729867916	0.309877864933958
54	0.707300005937617	0.585399988124767	0.292699994062383
55	0.684404206668773	0.631191586662454	0.315595793331227
56	0.642966720418222	0.714066559163557	0.357033279581778
57	0.61468315803099	0.770633683938019	0.38531684196901
58	0.57136845921137	0.857263081577261	0.42863154078863
59	0.547305180074457	0.905389639851085	0.452694819925543
60	0.559924018763474	0.880151962473052	0.440075981236526
61	0.750812262477985	0.49837547504403	0.249187737522015
62	0.714707139811787	0.570585720376426	0.285292860188213
63	0.762965045643794	0.474069908712412	0.237034954356206
64	0.72924585256426	0.541508294871481	0.27075414743574
65	0.692092691366405	0.615814617267189	0.307907308633595
66	0.737535534329464	0.524928931341072	0.262464465670536
67	0.779866172072123	0.440267655855754	0.220133827927877
68	0.758796703670842	0.482406592658317	0.241203296329158
69	0.724178264708051	0.551643470583897	0.275821735291949
70	0.702696281882198	0.594607436235605	0.297303718117802
71	0.664390247449917	0.671219505100165	0.335609752550083
72	0.641923284778589	0.716153430442822	0.358076715221411
73	0.6016856654454	0.796628669109199	0.398314334554599
74	0.575759397158633	0.848481205682733	0.424240602841367
75	0.532801278870586	0.934397442258827	0.467198721129414
76	0.536576722201017	0.926846555597966	0.463423277798983
77	0.547222620674445	0.90555475865111	0.452777379325555
78	0.519512913710764	0.960974172578472	0.480487086289236
79	0.493267821735604	0.986535643471208	0.506732178264396
80	0.450258787846753	0.900517575693506	0.549741212153247
81	0.423792528627654	0.847585057255309	0.576207471372346
82	0.4310252013009	0.862050402601801	0.5689747986991
83	0.390421663123822	0.780843326247645	0.609578336876178
84	0.39940284771809	0.79880569543618	0.60059715228191
85	0.358989598950082	0.717979197900164	0.641010401049918
86	0.318783838468729	0.637567676937457	0.681216161531271
87	0.296973076778931	0.593946153557863	0.703026923221069
88	0.260098698705548	0.520197397411096	0.739901301294452
89	0.236515581348131	0.473031162696263	0.763484418651869
90	0.614311267055074	0.771377465889852	0.385688732944926
91	0.626787987801301	0.746424024397398	0.373212012198699
92	0.597433353880436	0.805133292239129	0.402566646119564
93	0.555837105987376	0.888325788025248	0.444162894012624
94	0.511003546557679	0.977992906884642	0.488996453442321
95	0.480390866200608	0.960781732401215	0.519609133799392
96	0.45722256334795	0.9144451266959	0.54277743665205
97	0.457725757566849	0.915451515133698	0.542274242433151
98	0.413059873085305	0.826119746170611	0.586940126914695
99	0.476973665902825	0.95394733180565	0.523026334097175
100	0.455946535509352	0.911893071018704	0.544053464490648
101	0.469528769194703	0.939057538389406	0.530471230805297
102	0.438256030533341	0.876512061066683	0.561743969466659
103	0.41582531115168	0.83165062230336	0.58417468884832
104	0.415584392217275	0.831168784434549	0.584415607782725
105	0.374066996482552	0.748133992965105	0.625933003517448
106	0.491187158231709	0.982374316463417	0.508812841768291
107	0.469051556332398	0.938103112664796	0.530948443667602
108	0.443144441690614	0.886288883381228	0.556855558309386
109	0.499320058104523	0.998640116209047	0.500679941895477
110	0.61927009219238	0.76145981561524	0.38072990780762
111	0.576032427811696	0.847935144376609	0.423967572188304
112	0.624763870812701	0.750472258374599	0.375236129187299
113	0.591318912510512	0.817362174978976	0.408681087489488
114	0.544182562593141	0.911634874813718	0.455817437406859
115	0.623690919972734	0.752618160054533	0.376309080027266
116	0.628001994555475	0.74399601088905	0.371998005444525
117	0.579428416568913	0.841143166862174	0.420571583431087
118	0.52891399140602	0.942172017187959	0.47108600859398
119	0.478122960556387	0.956245921112775	0.521877039443613
120	0.4271473745638	0.854294749127599	0.572852625436201
121	0.425934871141508	0.851869742283016	0.574065128858492
122	0.377368587210589	0.754737174421178	0.622631412789411
123	0.330563021492657	0.661126042985314	0.669436978507343
124	0.286711068361353	0.573422136722706	0.713288931638647
125	0.246479512419057	0.492959024838113	0.753520487580943
126	0.216512342739679	0.433024685479358	0.783487657260321
127	0.278298335068579	0.556596670137157	0.721701664931421
128	0.290755699846792	0.581511399693584	0.709244300153208
129	0.457363074661092	0.914726149322183	0.542636925338909
130	0.409394793332095	0.81878958666419	0.590605206667905
131	0.354137249913974	0.708274499827948	0.645862750086026
132	0.485644506627847	0.971289013255694	0.514355493372153
133	0.436192690642264	0.872385381284527	0.563807309357736
134	0.405497822658331	0.810995645316661	0.594502177341669
135	0.382289320052874	0.764578640105748	0.617710679947126
136	0.36721244971322	0.73442489942644	0.63278755028678
137	0.358573468167699	0.717146936335397	0.641426531832301
138	0.30565152214635	0.6113030442927	0.69434847785365
139	0.335105642163472	0.670211284326945	0.664894357836528
140	0.286053751659752	0.572107503319504	0.713946248340248
141	0.230631761243414	0.461263522486829	0.769368238756586
142	0.19103966262734	0.38207932525468	0.80896033737266
143	0.216292114186602	0.432584228373204	0.783707885813398
144	0.166602850721287	0.333205701442575	0.833397149278713
145	0.176237505528352	0.352475011056705	0.823762494471648
146	0.166748493768418	0.333496987536836	0.833251506231582
147	0.190335187878933	0.380670375757866	0.809664812121067
148	0.144359959104936	0.288719918209873	0.855640040895064
149	0.105238860621539	0.210477721243077	0.894761139378461
150	0.234059151026274	0.468118302052548	0.765940848973726
151	0.244535065108588	0.489070130217176	0.755464934891412
152	0.171833740235678	0.343667480471357	0.828166259764322
153	0.114112776551417	0.228225553102833	0.885887223448583
154	0.0765457521119782	0.153091504223956	0.923454247888022
155	0.308397379622956	0.616794759245911	0.691602620377044
156	0.231832545169074	0.463665090338147	0.768167454830926

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