Multiple Linear Regression - Estimated Regression Equation

Happines[t] = + 21.7347429204207 -0.0180014326985808Concern_over_Mistakes[t] -0.147556651387398Doubts_about_actions[t] + 0.0992260314758162Parental_Expectations[t] -0.0802257256507926Parental_Criticism[t] + 0.0089687156303007Personal_Standards[t] -0.0573688170520963Organization[t] -0.0282446698882794Popularity[t] -0.376605608154422Depression[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)	21.7347429204207	1.87791	11.5739	0	0
Concern_over_Mistakes	-0.0180014326985808	0.037028	-0.4862	0.627636	0.313818
Doubts_about_actions	-0.147556651387398	0.071178	-2.0731	0.040055	0.020027
Parental_Expectations	0.0992260314758162	0.060301	1.6455	0.102172	0.051086
Parental_Criticism	-0.0802257256507926	0.076655	-1.0466	0.29715	0.148575
Personal_Standards	0.0089687156303007	0.049532	0.1811	0.856583	0.428292
Organization	-0.0573688170520963	0.050067	-1.1458	0.25387	0.126935
Popularity	-0.0282446698882794	0.056806	-0.4972	0.619845	0.309922
Depression	-0.376605608154422	0.057887	-6.5058	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.592473962328227
R-squared	0.35102539603691
Adjusted R-squared	0.312850419333199
F-TEST (value)	9.19516988212817
F-TEST (DF numerator)	8
F-TEST (DF denominator)	136
p-value	4.56960691508357e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.96922665656298
Sum Squared Residuals	527.388092988874

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	14.9057707238344	-0.905770723834429
2	18	15.4195090753442	2.58049092465579
3	11	13.6444448548606	-2.64444485486064
4	12	13.5015999893043	-1.50159998930429
5	16	11.5454530394115	4.4545469605885
6	18	14.9762903208524	3.02370967914762
7	14	11.8294297608093	2.17057023919074
8	14	14.5017035977515	-0.50170359775151
9	15	15.5058220966137	-0.505822096613653
10	15	13.4701918987239	1.5298081012761
11	17	14.087749433377	2.91225056662302
12	19	15.7670886032303	3.2329113967697
13	10	12.129577495341	-2.12957749534098
14	18	16.2335302988412	1.76646970115882
15	14	11.7985814615027	2.20141853849726
16	14	14.0476596618759	-0.0476596618758974
17	17	15.0794925347539	1.92050746524608
18	14	15.8720975137168	-1.8720975137168
19	16	14.3678093479275	1.6321906520725
20	18	15.889935796455	2.11006420354499
21	14	13.7891367847543	0.210863215245652
22	12	12.7276674210026	-0.727667421002637
23	17	14.1894885991503	2.81051140084973
24	9	15.5369024188891	-6.53690241888905
25	16	14.6973582219245	1.3026417780755
26	14	13.6624724391093	0.337527560890664
27	11	14.155354892651	-3.15535489265097
28	16	16.7938894426644	-0.79388944266439
29	13	12.8039310792485	0.196068920751512
30	17	15.2071977215147	1.79280227848532
31	15	14.8681565577328	0.131843442267169
32	14	14.1235623065175	-0.123562306517452
33	16	15.0508740467417	0.949125953258345
34	9	10.039407151334	-1.03940715133396
35	15	14.0679453026792	0.93205469732078
36	17	15.5026998968183	1.49730010318174
37	13	14.263261662473	-1.26326166247301
38	15	15.3019272031259	-0.301927203125921
39	16	13.6358513163059	2.36414868369406
40	16	17.3517895627986	-1.35178956279863
41	12	14.3099442716745	-2.30994427167452
42	11	13.417359988719	-2.41735998871901
43	15	15.5469053708189	-0.546905370818936
44	17	13.7426122082553	3.25738779174473
45	13	14.5687296684054	-1.56872966840542
46	16	14.9539109481875	1.04608905181246
47	14	13.7556336769984	0.244366323001562
48	11	12.7453902986786	-1.74539029867862
49	12	12.8064432791371	-0.80644327913712
50	12	15.7459765854881	-3.74597658548807
51	15	14.8010711509746	0.198928849025394
52	16	14.3335886148203	1.66641138517972
53	15	15.9062291570902	-0.906229157090205
54	12	15.4890483980866	-3.48904839808659
55	12	13.1768869558733	-1.17688695587331
56	8	10.4902385518076	-2.49023855180762
57	13	15.366514318652	-2.36651431865196
58	11	14.1344751449257	-3.13447514492569
59	14	14.059484120722	-0.0594841207220411
60	15	13.4399729786774	1.56002702132262
61	10	14.326319825877	-4.32631982587699
62	11	12.81323080134	-1.81323080134
63	12	13.7698505000775	-1.76985050007754
64	15	13.0887402983902	1.91125970160982
65	15	13.7107590750262	1.28924092497382
66	14	13.6102864051806	0.389713594819377
67	16	13.1653911507121	2.83460884928786
68	15	13.8238809857649	1.17611901423512
69	15	15.4867245816992	-0.486724581699238
70	13	14.9335515331232	-1.93355153312318
71	17	14.1119410364411	2.88805896355893
72	13	12.3037019159621	0.696298084037921
73	15	13.7116981932075	1.2883018067925
74	13	15.4980525759228	-2.49805257592281
75	15	14.3790336423782	0.620966357621809
76	16	15.0295511234547	0.970448876545318
77	15	15.7196914497976	-0.719691449797592
78	16	14.7653364652836	1.23466353471641
79	15	13.9819942278108	1.01800577218919
80	14	14.0359836981033	-0.0359836981032603
81	15	13.030483321526	1.96951667847402
82	7	9.9450377803145	-2.94503778031449
83	17	14.8066382723383	2.19336172766168
84	13	13.5513051875617	-0.551305187561724
85	15	13.7564601620036	1.24353983799638
86	14	13.285438858077	0.714561141923016
87	13	15.2381705771465	-2.23817057714647
88	16	15.8798019669483	0.120198033051667
89	12	12.8669612219408	-0.866961221940764
90	14	15.2957228396481	-1.29572283964811
91	17	14.8977669225046	2.10223307749542
92	15	16.0018512127134	-1.00185121271337
93	17	14.6055018665187	2.39449813348131
94	12	13.0524454276766	-1.05244542767659
95	16	14.9970279173381	1.00297208266189
96	11	14.3954567913681	-3.39545679136809
97	15	12.3962729503771	2.60372704962293
98	9	12.4940741600249	-3.49407416002494
99	16	14.4265253523148	1.57347464768523
100	10	12.6064222704831	-2.60642227048315
101	10	10.3639885615379	-0.363988561537923
102	15	14.2804571855256	0.719542814474413
103	11	13.099388338146	-2.09938833814603
104	13	15.3531336073664	-2.35313360736644
105	14	12.7752463124134	1.22475368758662
106	18	14.9279335131776	3.07206648682239
107	16	15.4572548557537	0.542745144246334
108	14	12.8005501119041	1.19944988809589
109	14	13.7505076329222	0.249492367077826
110	14	15.6094601110529	-1.60946011105287
111	14	13.9021218642478	0.097878135752231
112	12	13.1002087709175	-1.1002087709175
113	14	14.1496355785078	-0.149635578507765
114	15	15.2207136391422	-0.220713639142172
115	15	16.0919227057247	-1.09192270572475
116	13	13.9673315269833	-0.967331526983318
117	17	16.2121723586471	0.787827641352853
118	17	15.6710936454105	1.32890635458947
119	19	15.0877687454447	3.91223125455526
120	15	14.4884901437482	0.511509856251822
121	13	14.6104007923928	-1.61040079239276
122	9	10.5109744868568	-1.51097448685678
123	15	15.9527440704162	-0.952744070416216
124	15	14.5228224749835	0.477177525016505
125	16	13.7722005440992	2.22779945590084
126	11	10.3675495758058	0.632450424194224
127	14	14.1670521938402	-0.167052193840206
128	11	12.5774290076569	-1.57742900765693
129	15	15.0915058907059	-0.0915058907058622
130	13	13.8910403831401	-0.891040383140057
131	16	12.3919206641532	3.60807933584677
132	14	14.4154545998879	-0.415454599887913
133	15	14.6474561196134	0.352543880386627
134	16	14.7677577376598	1.23224226234017
135	16	15.3445753919422	0.655424608057795
136	11	12.7431651465027	-1.74316514650273
137	13	12.620912093499	0.37908790650104
138	16	15.4505694382333	0.549430561766656
139	12	14.1024440454568	-2.1024440454568
140	9	10.9401466598227	-1.94014665982271
141	13	11.6742167003584	1.32578329964165
142	13	13.5513051875617	-0.551305187561724
143	14	13.3229156030485	0.677084396951531
144	19	15.0877687454447	3.91223125455526
145	13	16.2381814740127	-3.23818147401273

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.139168285998357	0.278336571996715	0.860831714001643
13	0.164198717605387	0.328397435210773	0.835801282394613
14	0.103345073717282	0.206690147434564	0.896654926282718
15	0.473050963724171	0.946101927448342	0.526949036275829
16	0.377914042667246	0.755828085334492	0.622085957332754
17	0.674452787953793	0.651094424092415	0.325547212046207
18	0.586832122882077	0.826335754235847	0.413167877117923
19	0.744370426524023	0.511259146951953	0.255629573475977
20	0.682609663989938	0.634780672020125	0.317390336010062
21	0.60058101907667	0.79883796184666	0.39941898092333
22	0.518899521946069	0.962200956107862	0.481100478053931
23	0.586317920334128	0.827364159331745	0.413682079665872
24	0.930027885875566	0.139944228248867	0.0699721141244337
25	0.904865206787798	0.190269586424404	0.095134793212202
26	0.871728763564512	0.256542472870975	0.128271236435488
27	0.960728092735173	0.0785438145296539	0.0392719072648269
28	0.944181985748541	0.111636028502917	0.0558180142514587
29	0.938278192795853	0.123443614408294	0.0617218072041472
30	0.943915900192261	0.112168199615477	0.0560840998077385
31	0.927646180743817	0.144707638512365	0.0723538192561827
32	0.90599430453182	0.18801139093636	0.0940056954681798
33	0.881361345422646	0.237277309154708	0.118638654577354
34	0.855212584006721	0.289574831986557	0.144787415993279
35	0.825713963739965	0.34857207252007	0.174286036260035
36	0.79541257417351	0.40917485165298	0.20458742582649
37	0.757108959110435	0.48578208177913	0.242891040889565
38	0.75989365592049	0.48021268815902	0.24010634407951
39	0.790265394844777	0.419469210310445	0.209734605155223
40	0.852204737672384	0.295590524655233	0.147795262327616
41	0.840782545253967	0.318434909492066	0.159217454746033
42	0.868507824382723	0.262984351234553	0.131492175617277
43	0.841314046533706	0.317371906932588	0.158685953466294
44	0.875639633382936	0.248720733234128	0.124360366617064
45	0.858488718841917	0.283022562316165	0.141511281158083
46	0.835537567631776	0.328924864736447	0.164462432368224
47	0.809149989063216	0.381700021873568	0.190850010936784
48	0.848540639109853	0.302918721780295	0.151459360890147
49	0.824360894174092	0.351278211651816	0.175639105825908
50	0.89704596317864	0.205908073642719	0.10295403682136
51	0.888776024039593	0.222447951920814	0.111223975960407
52	0.886005722116173	0.227988555767654	0.113994277883827
53	0.867490596436987	0.265018807126027	0.132509403563013
54	0.913693818525366	0.172612362949269	0.0863061814746345
55	0.898997136015782	0.202005727968437	0.101002863984218
56	0.926508834956506	0.146982330086988	0.0734911650434939
57	0.939381124358478	0.121237751283044	0.0606188756415222
58	0.956849331351442	0.0863013372971163	0.0431506686485582
59	0.945591333477849	0.108817333044303	0.0544086665221513
60	0.9404504235812	0.119099152837602	0.0595495764188008
61	0.978665698590004	0.0426686028199923	0.0213343014099961
62	0.977596334438246	0.0448073311235082	0.0224036655617541
63	0.97620523495864	0.0475895300827212	0.0237947650413606
64	0.975417664235786	0.0491646715284281	0.024582335764214
65	0.971355216569371	0.0572895668612582	0.0286447834306291
66	0.96234689102015	0.0753062179597007	0.0376531089798504
67	0.970909599294794	0.058180801410412	0.029090400705206
68	0.966448555087243	0.0671028898255137	0.0335514449127569
69	0.956344616584224	0.0873107668315516	0.0436553834157758
70	0.95635317964945	0.0872936407010996	0.0436468203505498
71	0.968465429507377	0.0630691409852462	0.0315345704926231
72	0.95908851926356	0.0818229614728815	0.0409114807364408
73	0.952574760272053	0.0948504794558945	0.0474252397279473
74	0.966679303560938	0.0666413928781245	0.0333206964390622
75	0.956838060062507	0.0863238798749868	0.0431619399374934
76	0.947171939441762	0.105656121116476	0.0528280605582382
77	0.93755363842385	0.124892723152301	0.0624463615761505
78	0.927497837878431	0.145004324243137	0.0725021621215686
79	0.91293316326829	0.174133673463419	0.0870668367317093
80	0.89109047247206	0.21781905505588	0.10890952752794
81	0.887436792336195	0.225126415327611	0.112563207663805
82	0.909406320719842	0.181187358560316	0.0905936792801582
83	0.915994245868436	0.168011508263129	0.0840057541315643
84	0.903350905420177	0.193298189159646	0.0966490945798228
85	0.887403898656728	0.225192202686545	0.112596101343272
86	0.86607303959461	0.267853920810781	0.133926960405391
87	0.872961011239348	0.254077977521305	0.127038988760652
88	0.84957886689095	0.300842266218099	0.15042113310905
89	0.82185345688977	0.356293086220459	0.178146543110229
90	0.810749501626236	0.378500996747528	0.189250498373764
91	0.81723912742567	0.36552174514866	0.18276087257433
92	0.788777613543907	0.422444772912186	0.211222386456093
93	0.82596132245925	0.348077355081502	0.174038677540751
94	0.803678689012297	0.392642621975405	0.196321310987703
95	0.769793253923199	0.460413492153602	0.230206746076801
96	0.849545069601254	0.300909860797492	0.150454930398746
97	0.87262984330353	0.254740313392941	0.127370156696471
98	0.922029253167551	0.155941493664897	0.0779707468324487
99	0.90817256931527	0.183654861369463	0.0918274306847313
100	0.916047010462538	0.167905979074924	0.083952989537462
101	0.891970655333469	0.216058689333063	0.108029344666531
102	0.867778428054088	0.264443143891824	0.132221571945912
103	0.89001063877599	0.219978722448021	0.10998936122401
104	0.93148889391631	0.137022212167382	0.0685111060836908
105	0.946589844583045	0.10682031083391	0.0534101554169551
106	0.957083730647014	0.085832538705972	0.042916269352986
107	0.942942411917655	0.11411517616469	0.0570575880823448
108	0.94470016434159	0.110599671316821	0.0552998356584106
109	0.924790329178846	0.150419341642309	0.0752096708211543
110	0.904515853122752	0.190968293754495	0.0954841468772476
111	0.877364091453779	0.245271817092443	0.122635908546221
112	0.843126080439889	0.313747839120223	0.156873919560111
113	0.808061127963097	0.383877744073805	0.191938872036903
114	0.757864312181657	0.484271375636686	0.242135687818343
115	0.757884352144897	0.484231295710206	0.242115647855103
116	0.720321077479232	0.559357845041536	0.279678922520768
117	0.716317064991421	0.567365870017158	0.283682935008579
118	0.717600260227467	0.564799479545065	0.282399739772533
119	0.768103388940915	0.46379322211817	0.231896611059085
120	0.778204446739362	0.443591106521276	0.221795553260638
121	0.718749056925178	0.562501886149644	0.281250943074822
122	0.651945750463972	0.696108499072057	0.348054249536028
123	0.574108332977032	0.851783334045936	0.425891667022968
124	0.495177178608147	0.990354357216295	0.504822821391853
125	0.420943413965219	0.841886827930437	0.579056586034781
126	0.425998050406391	0.851996100812782	0.574001949593609
127	0.412863509188115	0.82572701837623	0.587136490811885
128	0.331104507482855	0.66220901496571	0.668895492517145
129	0.254845733264243	0.509691466528486	0.745154266735757
130	0.194010536691998	0.388021073383997	0.805989463308001
131	0.504153795267943	0.991692409464114	0.495846204732057
132	0.477154313942914	0.954308627885828	0.522845686057086
133	0.854510030178875	0.290979939642251	0.145489969821125

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	4	0.0327868852459016	OK
10% type I error level	18	0.147540983606557	NOK