Multiple Linear Regression - Estimated Regression Equation

Happines[t] = + 15.9209864112048 -0.013923866821038Concern_over_Mistakes[t] -0.281152036524041Doubts_about_actions[t] + 0.110618369076942Parental_Expectations[t] -0.109305009852638Parental_Criticism[t] -0.00364126304979581Personal_Standards[t] + 0.0291377852193792Organization[t] + 0.0388082434030575Popularity[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)	15.9209864112048	1.884379	8.4489	0	0
Concern_over_Mistakes	-0.013923866821038	0.042239	-0.3296	0.742171	0.371086
Doubts_about_actions	-0.281152036524041	0.077754	-3.6159	0.00042	0.00021
Parental_Expectations	0.110618369076942	0.068768	1.6086	0.110011	0.055006
Parental_Criticism	-0.109305009852638	0.087307	-1.252	0.212717	0.106358
Personal_Standards	-0.00364126304979581	0.056468	-0.0645	0.948679	0.47434
Organization	0.0291377852193792	0.05507	0.5291	0.597587	0.298794
Popularity	0.0388082434030575	0.063735	0.6089	0.543598	0.271799

Multiple Linear Regression - Regression Statistics
Multiple R	0.386071666193761
R-squared	0.149051331437627
Adjusted R-squared	0.105572202386995
F-TEST (value)	3.42811216995754
F-TEST (DF numerator)	7
F-TEST (DF denominator)	137
p-value	0.00207522201230936
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.24668769712789
Sum Squared Residuals	691.521968354336

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	15.0963467538529	-1.09634675385292
2	18	15.1895604129629	2.81043958703713
3	11	14.3507420609462	-3.35074206094623
4	12	12.7776703995443	-0.777670399544335
5	16	14.6159160722414	1.38408392775856
6	18	14.6652166659897	3.33478333401032
7	14	14.5238237887352	-0.523823788735159
8	14	14.5691005820812	-0.569100582081221
9	15	14.6552332520635	0.344766747936502
10	15	13.2572329214863	1.7427670785137
11	17	13.1240707824774	3.87592921752259
12	19	13.4973977218603	5.50260227813974
13	10	12.6529098177204	-2.65290981772041
14	18	16.2047710416263	1.79522895837372
15	14	11.2781636481464	2.72183635185362
16	14	15.0741524702825	-1.07415247028246
17	17	14.8735292126495	2.12647078735047
18	14	14.6510509991446	-0.651050999144594
19	16	14.9845393288367	1.01546067116329
20	18	13.2061175280173	4.7938824719827
21	14	13.3861340048663	0.613865995133652
22	12	12.3094240820379	-0.309424082037925
23	17	13.685497701637	3.31450229836299
24	9	14.3915860703661	-5.39158607036607
25	16	14.0624156204739	1.93758437952612
26	14	13.518849684107	0.481150315892965
27	11	14.6483323567288	-3.64833235672881
28	16	15.1883898394367	0.811610160563277
29	13	13.0457303560912	-0.0457303560912498
30	17	14.3245810954366	2.67541890456343
31	15	14.2994715922402	0.700528407759752
32	14	14.7979328020772	-0.797932802077198
33	16	12.9941976504621	3.00580234953793
34	9	12.2576618114038	-3.2576618114038
35	15	13.4785352348131	1.52146476518694
36	17	15.5259946784042	1.47400532159579
37	13	13.1313917930203	-0.131391793020284
38	15	13.4039077550117	1.59609224498829
39	16	14.1258741760879	1.87412582391211
40	16	17.0733984080376	-1.07339840803763
41	12	13.5605665361522	-1.56056653615216
42	11	13.3002589066068	-2.3002589066068
43	15	15.1148568531699	-0.114856853169928
44	17	15.0694977660082	1.93050223399178
45	13	14.2591604366919	-1.2591604366919
46	16	13.0796560392148	2.92034396078516
47	14	14.1924199912982	-0.19241999129824
48	11	14.5137086665548	-3.51370866655479
49	12	13.1709852079733	-1.17098520797325
50	12	14.4920322716881	-2.49203227168814
51	15	14.3902486530509	0.609751346949128
52	16	14.9169003860484	1.08309961395158
53	15	14.6013405216979	0.398659478302115
54	12	14.778016135197	-2.77801613519699
55	12	14.1948086806033	-2.19480868060331
56	8	12.5724144628216	-4.57241446282164
57	13	15.4771432367284	-2.47714323672837
58	11	14.8735976589011	-3.87359765890109
59	14	14.8471572119599	-0.84715721195989
60	15	12.4076492354216	2.59235076457842
61	10	13.8676660065156	-3.86766600651559
62	11	14.3593220435923	-3.35932204359232
63	12	13.5860647837061	-1.58606478370605
64	15	12.9672029878257	2.03279701217429
65	15	14.6431491683095	0.356850831690526
66	14	13.7936248068377	0.206375193162318
67	16	12.9144880052754	3.08551199472465
68	15	14.7085352925772	0.291464707422847
69	15	15.1303522006806	-0.130352200680612
70	13	14.8321220081259	-1.83212200812593
71	17	14.8689156786679	2.13108432133206
72	13	13.6204306969395	-0.620430696939519
73	15	13.6745282537884	1.32547174621156
74	13	14.1724516845164	-1.17245168451637
75	15	13.8407924853543	1.15920751464569
76	16	14.2317279549076	1.76827204509238
77	15	14.4657106372158	0.534289362784213
78	16	13.7559090518628	2.24409094813721
79	15	14.1445144075995	0.85548559240053
80	14	14.609371577487	-0.609371577487046
81	15	12.6346948176438	2.36530518235619
82	7	12.7790383078128	-5.7790383078128
83	17	14.9437678807955	2.05623211920455
84	13	14.8216225873461	-1.82162258734606
85	15	13.9953106291211	1.00468937087888
86	14	13.3727814724166	0.627218527583415
87	13	13.8441634893288	-0.844163489328771
88	16	15.1892681467178	0.810731853282163
89	12	14.4598055165961	-2.45980551659606
90	14	15.3222001435219	-1.32220014352191
91	17	14.5121572339796	2.4878427660204
92	15	15.424062935526	-0.424062935525951
93	17	12.9281383483416	4.07186165165838
94	12	14.1517887686352	-2.15178876863525
95	16	15.1053025357502	0.89469746424976
96	11	13.9984294366401	-2.9984294366401
97	15	13.1687827672716	1.83121723272835
98	9	14.4761190005816	-5.47611900058161
99	16	14.6479336792415	1.35206632075855
100	10	12.6419332020375	-2.64193320203755
101	10	12.6448030323297	-2.6448030323297
102	15	14.8137415344717	0.186258465528322
103	11	13.9410765636774	-2.94107656367737
104	13	14.9392636340428	-1.93926363404275
105	14	13.1448841484294	0.855115851570617
106	18	15.095246112285	2.90475388771503
107	16	14.8861051567031	1.11389484329691
108	14	12.5300006232887	1.46999937671129
109	14	13.6301491993308	0.36985080066918
110	14	13.511008357087	0.488991642913018
111	14	14.6414485081166	-0.64144850811657
112	12	13.3031354408185	-1.30313544081853
113	14	14.3023032385033	-0.302303238503307
114	15	14.419371107915	0.580628892085044
115	15	14.9837036955696	0.0162963044303615
116	13	13.5802741281511	-0.580274128151066
117	17	14.7848048580796	2.21519514192041
118	17	15.2167737470621	1.78322625293795
119	19	15.0747921202689	3.92520787973105
120	15	14.0656672464009	0.934332753599117
121	13	14.206155408575	-1.20615540857503
122	9	13.0310330165383	-4.03103301653828
123	15	15.3011111008892	-0.301111100889229
124	15	14.5781218485289	0.42187815147114
125	16	14.7733997595337	1.22660024046626
126	11	13.5454397393461	-2.5454397393461
127	14	14.460077351731	-0.460077351730967
128	11	12.9143119088605	-1.9143119088605
129	15	13.4168188846048	1.58318111539521
130	13	13.4748061426351	-0.474806142635061
131	16	13.1038468423132	2.89615315768678
132	14	14.5661926367677	-0.566192636767732
133	15	14.7104686343731	0.289531365626855
134	16	13.5027637561166	2.49723624388342
135	16	14.9949461697315	1.00505383026852
136	11	12.43441005922	-1.43441005922005
137	13	13.582844883783	-0.582844883783041
138	16	14.0624156204739	1.93758437952612
139	12	14.0598038006965	-2.05980380069647
140	9	12.5158535472441	-3.51585354724407
141	13	12.8440310528125	0.155968947187459
142	13	14.8216225873461	-1.82162258734606
143	14	13.7736877721266	0.226312227873369
144	19	15.0747921202689	3.92520787973105
145	13	15.429041240669	-2.429041240669

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.687660604739566	0.624678790520867	0.312339395260434
12	0.736670574082993	0.526658851834015	0.263329425917007
13	0.715560089811292	0.568879820377415	0.284439910188708
14	0.625518294502254	0.748963410995491	0.374481705497746
15	0.69918942107153	0.60162115785694	0.30081057892847
16	0.636780086593086	0.726439826813828	0.363219913406914
17	0.800013882497385	0.39997223500523	0.199986117502615
18	0.729767751433727	0.540464497132546	0.270232248566273
19	0.730321267133287	0.539357465733425	0.269678732866713
20	0.73122387551769	0.537552248964619	0.268776124482309
21	0.70913945992032	0.58172108015936	0.29086054007968
22	0.677010843373905	0.64597831325219	0.322989156626095
23	0.654806766474528	0.690386467050944	0.345193233525472
24	0.750149072703607	0.499701854592785	0.249850927296393
25	0.700435652845717	0.599128694308567	0.299564347154283
26	0.643034737409251	0.713930525181499	0.356965262590749
27	0.849865519840906	0.300268960318189	0.150134480159094
28	0.819324371008848	0.361351257982304	0.180675628991152
29	0.82007973620547	0.359840527589059	0.17992026379453
30	0.858439980318043	0.283120039363914	0.141560019681957
31	0.823542599391906	0.352914801216188	0.176457400608094
32	0.792573165843801	0.414853668312397	0.207426834156199
33	0.79001437807273	0.419971243854539	0.209985621927269
34	0.825146005980575	0.349707988038851	0.174853994019425
35	0.794321944637917	0.411356110724165	0.205678055362082
36	0.758078734760369	0.483842530479262	0.241921265239631
37	0.722334346474365	0.55533130705127	0.277665653525635
38	0.687308004202748	0.625383991594505	0.312691995797252
39	0.692126235443061	0.615747529113879	0.307873764556939
40	0.741903040230579	0.516193919538842	0.258096959769421
41	0.70185628748605	0.5962874250279	0.29814371251395
42	0.736401906113106	0.527196187773788	0.263598093886894
43	0.693706228338176	0.612587543323647	0.306293771661824
44	0.670370802110427	0.659258395779147	0.329629197889573
45	0.629016079268052	0.741967841463895	0.370983920731948
46	0.654314197055495	0.69137160588901	0.345685802944505
47	0.620993993615137	0.758012012769726	0.379006006384863
48	0.766560169268696	0.466879661462608	0.233439830731304
49	0.748614701240024	0.502770597519952	0.251385298759976
50	0.760667312214331	0.478665375571337	0.239332687785669
51	0.744506561918953	0.510986876162093	0.255493438081047
52	0.721650899929824	0.556698200140351	0.278349100070176
53	0.677873755908971	0.644252488182058	0.322126244091029
54	0.69968079326599	0.60063841346802	0.30031920673401
55	0.686896027857835	0.62620794428433	0.313103972142165
56	0.834872173538976	0.330255652922047	0.165127826461024
57	0.85338059062467	0.29323881875066	0.14661940937533
58	0.898922660291806	0.202154679416388	0.101077339708194
59	0.87791757297402	0.244164854051959	0.122082427025979
60	0.888532216020168	0.222935567959665	0.111467783979832
61	0.922675921241445	0.154648157517109	0.0773240787585546
62	0.943209653847914	0.113580692304171	0.0567903461520856
63	0.934538067180548	0.130923865638904	0.065461932819452
64	0.932919752729093	0.134160494541814	0.0670802472709068
65	0.9159378477229	0.1681243045542	0.0840621522770998
66	0.895472554506903	0.209054890986195	0.104527445493097
67	0.916457601987395	0.16708479602521	0.083542398012605
68	0.900373110471257	0.199253779057486	0.099626889528743
69	0.87815820544661	0.243683589106779	0.12184179455339
70	0.872966587259513	0.254066825480974	0.127033412740487
71	0.869772880317907	0.260454239364186	0.130227119682093
72	0.844930796099827	0.310138407800346	0.155069203900173
73	0.825424149838767	0.349151700322466	0.174575850161233
74	0.801454288076265	0.39709142384747	0.198545711923735
75	0.777548271132975	0.44490345773405	0.222451728867025
76	0.766395958143537	0.467208083712927	0.233604041856463
77	0.727812613981133	0.544374772037733	0.272187386018867
78	0.727618622125718	0.544762755748563	0.272381377874282
79	0.691187730172619	0.617624539654763	0.308812269827381
80	0.64911180040529	0.70177639918942	0.35088819959471
81	0.665032734449154	0.669934531101692	0.334967265550846
82	0.858311972460985	0.283376055078031	0.141688027539015
83	0.85648135076677	0.287037298466461	0.14351864923323
84	0.852095515402077	0.295808969195847	0.147904484597923
85	0.826009412716907	0.347981174566185	0.173990587283093
86	0.80066459473378	0.398670810532442	0.199335405266221
87	0.769851541540045	0.46029691691991	0.230148458459955
88	0.733039422757056	0.533921154485889	0.266960577242944
89	0.744718892973081	0.510562214053837	0.255281107026919
90	0.729157630234725	0.54168473953055	0.270842369765275
91	0.75109566238711	0.497808675225781	0.248904337612891
92	0.710303186920724	0.579393626158552	0.289696813079276
93	0.835069771065239	0.329860457869522	0.164930228934761
94	0.841869476894811	0.316261046210377	0.158130523105189
95	0.809216406856083	0.381567186287835	0.190783593143917
96	0.832306293708812	0.335387412582377	0.167693706291188
97	0.832067995460359	0.335864009079282	0.167932004539641
98	0.946231982868052	0.107536034263896	0.0537680171319481
99	0.933922526285635	0.132154947428731	0.0660774737143654
100	0.934954016849165	0.130091966301669	0.0650459831508346
101	0.930549404821158	0.138901190357683	0.0694505951788417
102	0.909277298145856	0.181445403708288	0.090722701854144
103	0.937311877662291	0.125376244675418	0.0626881223377091
104	0.958718440780044	0.0825631184399127	0.0412815592199563
105	0.956325598430506	0.0873488031389876	0.0436744015694938
106	0.956970067232926	0.0860598655341474	0.0430299327670737
107	0.943864105760542	0.112271788478915	0.0561358942394577
108	0.946329150697836	0.107341698604328	0.0536708493021638
109	0.927462689842353	0.145074620315294	0.0725373101576469
110	0.924203127916062	0.151593744167876	0.075796872083938
111	0.905019538272783	0.189960923454433	0.0949804617272166
112	0.878444696847408	0.243110606305185	0.121555303152592
113	0.854439415361661	0.291121169276677	0.145560584638339
114	0.817191027262568	0.365617945474864	0.182808972737432
115	0.780206542518043	0.439586914963913	0.219793457481957
116	0.727447096116677	0.545105807766647	0.272552903883323
117	0.776714839774188	0.446570320451625	0.223285160225812
118	0.782460428572563	0.435079142854874	0.217539571427437
119	0.802917243833533	0.394165512332934	0.197082756166467
120	0.820385050773527	0.359229898452947	0.179614949226473
121	0.770839981799213	0.458320036401574	0.229160018200787
122	0.756249870026505	0.487500259946991	0.243750129973495
123	0.70284984221872	0.594300315562562	0.297150157781281
124	0.632706458360621	0.734587083278757	0.367293541639379
125	0.613079100782909	0.773841798434181	0.386920899217091
126	0.5338875943013	0.9322248113974	0.4661124056987
127	0.441643078719614	0.883286157439229	0.558356921280386
128	0.368069109633491	0.736138219266982	0.631930890366509
129	0.358325224686917	0.716650449373834	0.641674775313083
130	0.277094159387656	0.554188318775312	0.722905840612344
131	0.453894757607814	0.907789515215627	0.546105242392186
132	0.347645173148598	0.695290346297196	0.652354826851402
133	0.249968657397356	0.499937314794712	0.750031342602644
134	0.196067595777532	0.392135191555064	0.803932404222468

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	3	0.0241935483870968	OK