Multiple Linear Regression - Estimated Regression Equation

Hapiness[t] = + 11.6832354170298 + 0.175863833021828Learning[t] -0.0033800152342422t + 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)	11.6832354170298	1.340991	8.7124	0	0
Learning	0.175863833021828	0.08215	2.1408	0.033817	0.016909
t	-0.0033800152342422	0.003951	-0.8554	0.393602	0.196801

Multiple Linear Regression - Regression Statistics
Multiple R	0.194612334477127
R-squared	0.0378739607306371
Adjusted R-squared	0.0257717464002049
F-TEST (value)	3.12950669163074
F-TEST (DF numerator)	2
F-TEST (DF denominator)	159
p-value	0.0464452719759907
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.30729920359476
Sum Squared Residuals	846.457108770535

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.9660852310794	0.0339147689206149
2	18	14.4902967149106	3.50970328508941
3	11	15.0145081987418	-4.01450819874183
4	12	14.3076728514203	-2.30767285142028
5	16	14.1284290031642	1.87157099683579
6	18	13.9491851549081	4.05081484509186
7	14	15.0009881378049	-1.00098813780486
8	14	14.2941527904833	-0.294152790483312
9	15	14.1149089422272	0.885091057772758
10	15	14.2873927600148	0.712607239985173
11	17	14.4598765778024	2.54012342219759
12	19	14.4564965625682	4.54350343743183
13	10	14.4531165473339	-4.45311654733393
14	16	14.4497365320997	1.55026346790031
15	18	14.6222203498873	3.37777965011273
16	14	14.2671126686094	-0.267112668609374
17	14	14.2637326533751	-0.263732653375132
18	17	15.13967180325	1.86032819674997
19	14	14.7845641219721	-0.78456412197213
20	16	14.4294564406942	1.57054355930577
21	18	14.42607642546	3.57392357454001
22	11	14.4226964102257	-3.42269641022575
23	14	14.946907894057	-0.946907894056989
24	12	14.4159363797573	-2.41593637975726
25	17	14.5884201975448	2.41157980245515
26	9	14.5850401823106	-5.58504018231061
27	16	14.4057963340545	1.59420366594546
28	14	14.2265524857985	-0.226552485798468
29	15	14.3990363035861	0.600963696413947
30	11	14.0439286223082	-3.04392862230815
31	16	14.2164124400957	1.78358755990426
32	13	13.685440925796	-0.685440925796016
33	17	14.0337885766054	2.96621142339457
34	15	14.3821362274148	0.617863772585158
35	14	14.0270285461369	-0.0270285461369447
36	16	12.7926016997499	3.20739830025009
37	9	13.3168131835812	-4.31681318358115
38	15	14.0168885004342	0.983111499565782
39	17	14.3652361512436	2.63476384875637
40	13	14.3618561360094	-1.36185613600939
41	15	14.3584761207751	0.641523879224853
42	16	14.0033684394972	1.99663156050275
43	16	15.055171422394	0.944828577606028
44	12	13.9966084090288	-1.99660840902876
45	12	13.9932283937945	-1.99322839379452
46	11	13.4622568794948	-2.4622568794948
47	15	13.986468363326	1.01353163667396
48	15	14.1589521811136	0.841047818886376
49	17	14.3314359989012	2.66856400109879
50	13	13.9763283176233	-0.976328317623312
51	16	14.3246759684327	1.67532403156728
52	14	13.9695682871548	0.0304317128451727
53	11	13.6144606058769	-2.61446060587693
54	12	14.31453592273	-2.31453592273
55	12	13.080109076343	-1.08010907634296
56	15	13.9560482262179	1.04395177378214
57	16	14.3043958770273	1.69560412297273
58	15	14.301015861793	0.698984138206971
59	12	14.121772013537	-2.12177201353696
60	12	14.2942558313245	-2.29425583132454
61	8	13.587420484003	-5.58742048400299
62	13	14.2874958008561	-1.28749580085606
63	11	14.2841157856218	-3.28411578562182
64	14	13.9290081043439	0.0709918956560791
65	15	14.2773557551533	0.722644244846666
66	10	14.4498395729409	-4.44983957294092
67	11	14.6223233907285	-3.6223233907285
68	12	14.6189433754943	-2.61894337549426
69	15	13.5603803621291	1.43961963787095
70	15	14.2604556789821	0.739544321017877
71	14	13.2018926656169	0.798107334383085
72	16	13.90196798247	2.09803201753002
73	15	14.6020432993231	0.397956700676949
74	15	14.5986632840888	0.401336715911191
75	13	14.2435556028109	-1.24355560281091
76	12	14.4160394205985	-2.4160394205985
77	17	14.2367955723424	2.76320442765757
78	13	14.2334155571082	-1.23341555710819
79	15	13.7024440428085	1.29755595719154
80	13	14.2266555266397	-1.2266555266397
81	15	14.2232755114055	0.776724488594541
82	16	14.9233508282585	1.07664917174147
83	15	14.216515480937	0.783484519063026
84	16	14.0372716326809	1.9627283673191
85	15	14.0338916174467	0.966108382553338
86	14	14.2063754352342	-0.206375435234248
87	15	13.8512677539563	1.14873224604365
88	14	14.1996154047658	-0.199615404765763
89	13	14.1962353895315	-1.19623538953152
90	7	14.0169915412755	-7.01699154127545
91	17	13.4860200269757	3.51397997302427
92	13	14.3619591768506	-1.36195917685062
93	15	14.1827153285946	0.817284671405448
94	14	14.0034714803385	-0.00347148033848231
95	13	13.6483637990606	-0.648363799060585
96	16	14.1725752828918	1.82742471710817
97	12	14.1691952676576	-2.16919526765758
98	14	14.1658152524233	-0.165815252423341
99	17	14.1624352371891	2.8375647628109
100	15	13.8073275559112	1.1926724440888
101	17	14.1556752067206	2.84432479327939
102	12	14.1522951914864	-2.15229519148637
103	16	14.8523705083394	1.14762949166056
104	11	13.9696713279961	-2.96967132799606
105	15	14.1421551457836	0.857844854216354
106	9	13.6111836314839	-4.61118363148392
107	16	14.311258948337	1.68874105166301
108	15	14.1320151000809	0.867984899919081
109	10	14.1286350848467	-4.12863508484668
110	10	13.4217997375251	-3.42179973752512
111	15	14.1218750543782	0.878124945621807
112	11	14.1184950391439	-3.11849503914395
113	13	14.2909788569315	-1.29097885693154
114	14	13.58414350961	0.415856490390017
115	18	13.4048996613539	4.59510033864609
116	16	14.4567026442506	1.54329735574936
117	14	13.7498672969291	0.250132703070916
118	14	13.7464872816948	0.253512718305158
119	14	13.5672434334388	0.432756566561228
120	14	14.09145491727	-0.0914549172700126
121	12	13.5604834029703	-1.56048340297029
122	14	14.0846948868015	-0.0846948868015283
123	15	13.5537233725018	1.4462766274982
124	15	14.077934856333	0.922065143666956
125	15	13.898691008077	1.10130899192303
126	13	14.0711748258646	-1.07117482586456
127	17	13.8919309776085	3.10806902239151
128	17	14.2402786284179	2.7597213715821
129	19	13.88517094714	5.11482905285999
130	15	13.3541994328403	1.64580056715972
131	13	14.0542747496933	-1.05427474969335
132	9	12.9957117363281	-3.99571173632814
133	15	14.0475147192249	0.952485280775136
134	15	13.3406793719033	1.65932062809669
135	15	13.6890270227127	1.31097297728728
136	16	13.8615108405003	2.13848915949969
137	11	13.5064031592224	-2.50640315922241
138	14	13.8547508100318	0.145249189968175
139	11	13.1479154627103	-2.14791546271027
140	15	13.3203992804979	1.67960071950214
141	13	12.6135639331763	0.386436066823694
142	15	14.0170945821167	0.982905417883316
143	16	13.8378507338606	2.16214926613939
144	14	14.18619838467	-0.186198384670027
145	15	14.006954536414	0.993045463586042
146	16	12.9483915230488	3.05160847695125
147	16	14.3519221719891	1.64807782801087
148	11	13.4692229916457	-2.46922299164575
149	12	13.993434475477	-1.99343447547699
150	9	13.4624629611773	-4.46246296117726
151	16	12.9314914468775	3.06850855312246
152	13	13.8074305967524	-0.807430596752435
153	16	13.97991441454	2.02008558545998
154	12	13.9765343993058	-1.97653439930578
155	9	13.6214267180279	-4.62142671802788
156	13	12.9145913707063	0.0854086292936721
157	13	14.1422581866249	-1.14225818662488
158	14	13.4354228393033	0.564577160696674
159	19	13.7837704901127	5.21622950988726
160	13	13.9562543079003	-0.956254307900324
161	12	13.2494189605788	-1.24941896057877
162	13	13.4219027783664	-0.421902778366357

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.886800556585736	0.226398886828528	0.113199443414264
7	0.801417544923014	0.397164910153972	0.198582455076986
8	0.744488739400312	0.511022521199377	0.255511260599688
9	0.645254169889099	0.709491660221802	0.354745830110901
10	0.5318453099041	0.9363093801918	0.4681546900959
11	0.501965116545378	0.996069766909245	0.498034883454622
12	0.572094845204342	0.855810309591316	0.427905154795658
13	0.890234302932483	0.219531394135034	0.109765697067517
14	0.850934582265327	0.298130835469346	0.149065417734673
15	0.861445251231555	0.27710949753689	0.138554748768445
16	0.851261282132769	0.297477435734461	0.148738717867231
17	0.82739736658788	0.34520526682424	0.17260263341212
18	0.818680599017034	0.362638801965933	0.181319400982966
19	0.783194969682718	0.433610060634564	0.216805030317282
20	0.731514723062437	0.536970553875127	0.268485276937563
21	0.727571569047453	0.544856861905094	0.272428430952547
22	0.856521802405506	0.286956395188988	0.143478197594494
23	0.820512781531895	0.35897443693621	0.179487218468105
24	0.837561529853872	0.324876940292257	0.162438470146128
25	0.833064597597173	0.333870804805654	0.166935402402827
26	0.94360937114654	0.11278125770692	0.0563906288534599
27	0.9338553890955	0.132289221809	0.0661446109045001
28	0.913118484202154	0.173763031595691	0.0868815157978455
29	0.889385321788915	0.221229356422169	0.110614678211084
30	0.906576144829607	0.186847710340787	0.0934238551703933
31	0.898517409449315	0.202965181101369	0.101482590550685
32	0.875479737126378	0.249040525747244	0.124520262873622
33	0.890178197395002	0.219643605209996	0.109821802604998
34	0.865228667712839	0.269542664574322	0.134771332287161
35	0.833597662798005	0.332804674403991	0.166402337201995
36	0.829772764117232	0.340454471765535	0.170227235882768
37	0.915711782416666	0.168576435166668	0.084288217583334
38	0.899615402353108	0.200769195293783	0.100384597646892
39	0.911112773938946	0.177774452122107	0.0888872260610536
40	0.893165420341898	0.213669159316203	0.106834579658102
41	0.87160465155487	0.256790696890259	0.12839534844513
42	0.865721064691142	0.268557870617715	0.134278935308858
43	0.846062846491604	0.307874307016792	0.153937153508396
44	0.836843935420788	0.326312129158423	0.163156064579212
45	0.823937306336324	0.352125387327352	0.176062693663676
46	0.821420032176962	0.357159935646077	0.178579967823038
47	0.799095472078676	0.401809055842648	0.200904527921324
48	0.772233038369704	0.455533923260593	0.227766961630296
49	0.793708616934284	0.412582766131432	0.206291383065716
50	0.761343683867222	0.477312632265556	0.238656316132778
51	0.749406643166487	0.501186713667026	0.250593356833513
52	0.710678382561651	0.578643234876697	0.289321617438349
53	0.711177724730135	0.57764455053973	0.288822275269865
54	0.698347754404979	0.603304491190042	0.301652245595021
55	0.658578909869241	0.682842180261518	0.341421090130759
56	0.63208678276172	0.735826434476561	0.36791321723828
57	0.622930726079837	0.754138547840326	0.377069273920163
58	0.586727889420872	0.826544221158255	0.413272110579128
59	0.566975817899023	0.866048364201954	0.433024182100977
60	0.550198927669596	0.899602144660809	0.449801072330405
61	0.7114239905146	0.577152018970799	0.2885760094854
62	0.674396140927919	0.651207718144162	0.325603859072081
63	0.687930090732072	0.624139818535857	0.312069909267928
64	0.651212163621018	0.697575672757964	0.348787836378982
65	0.62312980653914	0.753740386921721	0.376870193460861
66	0.69624141523911	0.60751716952178	0.30375858476089
67	0.721686445060946	0.556627109878107	0.278313554939054
68	0.71314819744239	0.573703605115221	0.28685180255761
69	0.70882896364439	0.58234207271122	0.29117103635561
70	0.687854771255787	0.624290457488426	0.312145228744213
71	0.66117248710616	0.677655025787679	0.33882751289384
72	0.676956012657848	0.646087974684303	0.323043987342152
73	0.646128275277445	0.707743449445111	0.353871724722555
74	0.612886824078735	0.774226351842529	0.387113175921265
75	0.57513533723818	0.84972932552364	0.42486466276182
76	0.564284891843869	0.871430216312263	0.435715108156131
77	0.608900276518462	0.782199446963075	0.391099723481538
78	0.571990484789305	0.85601903042139	0.428009515210695
79	0.55283817210087	0.89432365579826	0.44716182789913
80	0.515207187309365	0.96958562538127	0.484792812690635
81	0.48326412146539	0.966528242930781	0.51673587853461
82	0.457647015358865	0.915294030717731	0.542352984641135
83	0.4242417053924	0.848483410784799	0.5757582946076
84	0.423783760202766	0.847567520405532	0.576216239797234
85	0.393572841608716	0.787145683217431	0.606427158391284
86	0.350834195556259	0.701668391112518	0.649165804443741
87	0.326300979334045	0.652601958668091	0.673699020665955
88	0.286486668162861	0.572973336325723	0.713513331837139
89	0.254412735002298	0.508825470004596	0.745587264997702
90	0.57578684234067	0.848426315318661	0.42421315765933
91	0.650978535187643	0.698042929624713	0.349021464812357
92	0.620934492485131	0.758131015029738	0.379065507514869
93	0.585994616096933	0.828010767806134	0.414005383903067
94	0.541618640915937	0.916762718168127	0.458381359084063
95	0.497067691584926	0.994135383169852	0.502932308415074
96	0.485765993133451	0.971531986266903	0.514234006866549
97	0.475694903660635	0.95138980732127	0.524305096339365
98	0.431040457767996	0.862080915535991	0.568959542232004
99	0.459945835077874	0.919891670155749	0.540054164922126
100	0.430805660564467	0.861611321128934	0.569194339435533
101	0.463031141194984	0.926062282389967	0.536968858805016
102	0.44939288032282	0.89878576064564	0.55060711967718
103	0.415275513050238	0.830551026100476	0.584724486949762
104	0.435898137296015	0.87179627459203	0.564101862703985
105	0.397362623448546	0.794725246897093	0.602637376551454
106	0.526126290958992	0.947747418082015	0.473873709041008
107	0.502745471702472	0.994509056595057	0.497254528297528
108	0.461819640313403	0.923639280626805	0.538180359686597
109	0.575245642950004	0.849508714099993	0.424754357049996
110	0.647003871589494	0.705992256821013	0.352996128410506
111	0.605992606474513	0.788014787050975	0.394007393525487
112	0.679088823314457	0.641822353371087	0.320911176685543
113	0.675499758551379	0.649000482897242	0.324500241448621
114	0.635810955999959	0.728378088000081	0.364189044000041
115	0.740023511063518	0.519952977872964	0.259976488936482
116	0.706836776610876	0.586326446778248	0.293163223389124
117	0.66403524867577	0.671929502648461	0.33596475132423
118	0.618850121768506	0.762299756462989	0.381149878231494
119	0.570519464180914	0.858961071638173	0.429480535819086
120	0.528480324632538	0.943039350734925	0.471519675367462
121	0.526674610054612	0.946650779890775	0.473325389945388
122	0.489275932178656	0.978551864357313	0.510724067821344
123	0.444343159746794	0.888686319493588	0.555656840253206
124	0.396447926277872	0.792895852555744	0.603552073722128
125	0.349328807669079	0.698657615338158	0.650671192330921
126	0.34394096864264	0.68788193728528	0.65605903135736
127	0.339520580532456	0.679041161064912	0.660479419467544
128	0.322575756305607	0.645151512611214	0.677424243694393
129	0.480164559304752	0.960329118609503	0.519835440695248
130	0.44786446536421	0.89572893072842	0.55213553463579
131	0.40723023491292	0.814460469825841	0.59276976508708
132	0.548163001944313	0.903673996111375	0.451836998055687
133	0.489888380039214	0.979776760078427	0.510111619960786
134	0.444451069886174	0.888902139772347	0.555548930113826
135	0.394029565096192	0.788059130192384	0.605970434903808
136	0.377288327023138	0.754576654046276	0.622711672976862
137	0.394836192672739	0.789672385345478	0.605163807327261
138	0.333464077951743	0.666928155903487	0.666535922048257
139	0.356222646873533	0.712445293747067	0.643777353126467
140	0.305214805064323	0.610429610128647	0.694785194935677
141	0.252252453025719	0.504504906051438	0.747747546974281
142	0.202584033938665	0.405168067877329	0.797415966061335
143	0.18456553245446	0.36913106490892	0.81543446754554
144	0.139625973475776	0.279251946951553	0.860374026524224
145	0.111130322044588	0.222260644089176	0.888869677955412
146	0.143464715048779	0.286929430097557	0.856535284951221
147	0.170229647112228	0.340459294224457	0.829770352887772
148	0.133535750696219	0.267071501392438	0.866464249303781
149	0.0958282607623851	0.19165652152477	0.904171739237615
150	0.173849698897573	0.347699397795147	0.826150301102427
151	0.207863411810468	0.415726823620937	0.792136588189532
152	0.14225554183135	0.2845110836627	0.85774445816865
153	0.181168648692153	0.362337297384307	0.818831351307847
154	0.115397354429953	0.230794708859906	0.884602645570047
155	0.232650243254351	0.465300486508701	0.767349756745649
156	0.137616167575307	0.275232335150615	0.862383832424693

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