Multiple Linear Regression - Estimated Regression Equation

Software[t] = + 3.86486110005002 + 0.450020067915905Gender[t] -0.0431725199068259Connected[t] + 0.0184995462606891Separate[t] + 0.524883753581253Learning[t] -0.0372689345137121Happiness[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)	3.86486110005002	1.888493	2.0465	0.042383	0.021191
Gender	0.450020067915905	0.306128	1.47	0.143565	0.071782
Connected	-0.0431725199068259	0.046371	-0.931	0.353282	0.176641
Separate	0.0184995462606891	0.044386	0.4168	0.677409	0.338705
Learning	0.524883753581253	0.065554	8.007	0	0
Happiness	-0.0372689345137121	0.063202	-0.5897	0.556258	0.278129

Multiple Linear Regression - Regression Statistics
Multiple R	0.559643910123
R-squared	0.31320130613776
Adjusted R-squared	0.291188527488329
F-TEST (value)	14.2281586130363
F-TEST (DF numerator)	5
F-TEST (DF denominator)	156
p-value	1.81652470843119e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.80313266470355
Sum Squared Residuals	507.200835417264

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	9.99953439097248	2.00046560902752
2	11	11.4004576759109	-0.400457675910907
3	15	13.6800427961942	1.31995720380585
4	6	11.0130471670113	-5.01304716701132
5	13	10.7335883686134	2.2664116313866
6	10	9.94299785601238	0.0570021439876165
7	12	13.1056851284488	-1.10568512844883
8	14	11.3145104449614	2.68548955503861
9	12	10.6475131707921	1.35248682920792
10	6	11.1847230432486	-5.18472304324858
11	10	11.0123795161549	-1.01237951615485
12	12	11.5297053936391	0.470294606360949
13	12	11.3472602427936	0.652739757206408
14	11	11.5859928225025	-0.585992822502466
15	15	12.2768742802366	2.72312571976344
16	12	10.8953367780771	1.10466322192293
17	10	10.7041471521891	-0.704147152189075
18	12	13.6914314222206	-1.69143142222059
19	11	12.2602781307765	-1.26027813077649
20	12	11.7772031842861	0.222796815713887
21	11	11.2711447936035	-0.271144793603472
22	12	11.9882208305008	0.0117791694991905
23	13	13.2351819522736	-0.23518195227365
24	11	11.8399131466317	-0.839913146631655
25	9	11.51259029609	-2.51259029608997
26	13	12.1744168003019	0.825583199698083
27	10	11.209991675525	-1.20999167552497
28	14	11.3761825111289	2.6238174888711
29	12	11.7897991451537	0.210200854846312
30	10	10.3959147882233	-0.395914788223299
31	12	11.2214937655689	0.778506234431071
32	8	9.55531750512046	-1.55531750512046
33	10	10.4558045968151	-0.455804596815076
34	12	11.8206248102896	0.179375189710382
35	12	10.2286093459001	1.7713906540999
36	7	6.62172888039962	0.378271119600382
37	6	8.54978114993846	-2.54978114993846
38	12	10.1604940103548	1.8395059896452
39	10	11.8509522632322	-1.85095226323219
40	10	11.3279719064516	-1.32797190645155
41	10	11.1485894513498	-1.14858945134979
42	12	10.6595901835706	1.34040981642936
43	15	13.1676830112543	1.83231698874574
44	10	10.3154733338028	-0.315473333802761
45	10	10.5434781106947	-0.543478110694743
46	12	9.17876512819634	2.82123487180366
47	13	10.6351663160212	2.36483368397881
48	11	11.2834149378331	-0.283414937833124
49	11	11.6782414477092	-0.678241447709231
50	12	10.1301872933079	1.86981270669212
51	14	11.8882004618502	2.11179953814975
52	10	10.3149543857137	-0.314954385713747
53	12	9.43249232087445	2.56750767912556
54	13	11.9509311600914	1.04906883990856
55	5	7.80207257935628	-2.80207257935628
56	6	10.5488420121032	-4.54884201210319
57	12	11.5119946374597	0.48800536254029
58	12	11.9809887710417	0.0190112289583197
59	11	10.8095106863524	0.190489313647571
60	10	11.8337604551419	-1.83376045514186
61	7	9.53814643292579	-2.53814643292579
62	12	11.2169538929918	0.783046107008234
63	14	11.9327014558231	2.06729854417691
64	11	10.9006447048399	0.0993552951600766
65	12	11.7096275327255	0.290372467274516
66	13	12.0386606486167	0.9613393513833
67	14	12.8961239231719	1.10387607682806
68	11	12.5198736700978	-1.51987367009777
69	12	9.56072583521254	2.43927416478746
70	12	11.3274322224669	0.672567777533113
71	8	8.06738152951191	-0.0673815295119132
72	11	10.8816054745946	0.118394525405433
73	14	12.9073914099735	1.0926085900265
74	14	12.3216803549517	1.67831964504833
75	12	11.2601471487942	0.739852851205754
76	9	12.1119559440531	-3.11195594405305
77	13	11.6165693815417	1.38343061845828
78	11	11.7841654017529	-0.784165401752908
79	12	9.94399132350677	2.05600867649323
80	12	11.1306295890738	0.869370410926231
81	12	11.3952777160198	0.60472228398015
82	12	13.3218528087252	-1.32185280872523
83	12	11.7774522903828	0.222547709617208
84	12	10.6049363095155	1.39506369048449
85	11	11.3265874577399	-0.32658745773995
86	10	11.790068987146	-1.79006898714602
87	9	10.1851462481053	-1.18514624810528
88	12	11.8455676259281	0.154432374071911
89	12	12.0185275475477	-0.0185275475477263
90	12	11.5630668676821	0.436933132317869
91	9	9.75756994039697	-0.75756994039697
92	15	12.2412036617812	2.7587963382188
93	12	11.8514504754255	0.148549524574451
94	12	11.2528591146895	0.747140885310473
95	12	10.4068771942826	1.59312280571741
96	10	11.5489937299811	-1.54899372998109
97	13	11.7659149615889	1.2340850384111
98	9	11.7037239473324	-2.70372394733237
99	12	11.1110506748437	0.888949325156256
100	10	10.3886827287642	-0.38868272876417
101	14	11.5548973153742	2.4451026846258
102	11	11.315894893673	-0.315894893672994
103	15	13.7965458502873	1.20345414971273
104	11	10.9146458503148	0.0853541496852418
105	11	11.9007964227178	-0.900796422717822
106	12	9.66803423796783	2.33196576203217
107	12	12.0985504572085	-0.0985504572084777
108	12	11.1053961955473	0.89460380445269
109	11	11.4336052826072	-0.433605282607244
110	7	9.61137952067518	-2.61137952067518
111	12	11.9378162511349	0.0621837488651456
112	14	12.0252199230222	1.97478007697781
113	11	12.5803896577547	-1.5803896577547
114	11	9.84556927091456	1.15443072908544
115	10	9.42426679392092	0.575733206079076
116	13	12.1610880239986	0.838911976001416
117	13	10.9067973963297	2.09320260367028
118	8	10.8636248764229	-2.86362487642289
119	11	10.289415911445	0.710584088554982
120	12	11.6667041189153	0.333295881084662
121	11	10.4009528729938	0.599047127006179
122	13	11.8024158419169	1.19758415808308
123	12	10.1102825624399	1.88971743756007
124	14	11.7096067968298	2.29039320317017
125	13	11.2279162990511	1.77208370094894
126	15	11.9506820539948	3.04931794600524
127	10	10.4628227889275	-0.462822788927461
128	11	11.8762445882966	-0.876244588296567
129	9	11.1713382922997	-2.17133829229965
130	11	9.60391909101502	1.39608090898498
131	10	11.457489466172	-1.45748946617203
132	11	8.61145321610598	2.38854678389402
133	8	11.5615896908487	-3.56158969084866
134	11	9.44378054357166	1.55621945642834
135	12	10.2098192217514	1.79018077824858
136	12	11.1968207919228	0.803179208077208
137	9	9.92657114521542	-0.92657114521542
138	11	10.8459908307848	0.154009169215206
139	10	9.48097276754413	0.519027232455874
140	8	9.62241863727571	-1.62241863727571
141	9	7.33859104995021	1.66140895004979
142	8	11.8514712113212	-3.8514712113212
143	9	10.925643495124	-1.92564349512398
144	15	12.5184684854905	2.48153151450949
145	11	11.2411286544445	-0.241128654444544
146	8	8.2640209572833	-0.264020957283298
147	13	12.7344729601452	0.265527039854827
148	12	9.84018463361046	2.15981536638954
149	12	11.4577593081644	0.542240691835634
150	9	9.88389683750195	-0.883896837501954
151	7	8.49836236718246	-1.49836236718246
152	13	11.0248987664812	1.97510123351882
153	9	11.3518353541207	-2.35183535412069
154	6	11.9262581864453	-5.92625818644531
155	8	10.8957997515205	-2.89579975152049
156	8	8.67803540017221	-0.678035400172215
157	15	12.2412036617812	2.7587963382188
158	6	10.3695875238732	-4.36958752387322
159	9	11.1713382922997	-2.17133829229965
160	11	11.8026649480136	-0.802664948013597
161	8	9.88224254679801	-1.88224254679802
162	8	10.3020118723126	-2.30201187231259

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.0205948413289226	0.0411896826578452	0.979405158671077
10	0.974776205231945	0.0504475895361106	0.0252237947680553
11	0.995903305751399	0.00819338849720203	0.00409669424860101
12	0.991346132686936	0.0173077346261278	0.0086538673130639
13	0.993037706939766	0.0139245861204674	0.00696229306023369
14	0.98755472244736	0.024890555105278	0.012445277552639
15	0.990866445795267	0.0182671084094656	0.00913355420473282
16	0.990428337068598	0.0191433258628041	0.00957166293140203
17	0.984215643408409	0.0315687131831829	0.0157843565915914
18	0.979607500887551	0.0407849982248973	0.0203924991124487
19	0.969513758012227	0.0609724839755457	0.0304862419877728
20	0.954378239773515	0.0912435204529696	0.0456217602264848
21	0.934653108405317	0.130693783189366	0.065346891594683
22	0.909331781551254	0.181336436897493	0.0906682184487464
23	0.87718946708488	0.245621065830239	0.12281053291512
24	0.850056851435174	0.299886297129651	0.149943148564826
25	0.830388657432677	0.339222685134645	0.169611342567323
26	0.806918446291119	0.386163107417763	0.193081553708881
27	0.763703230130213	0.472593539739574	0.236296769869787
28	0.768394989720505	0.463210020558989	0.231605010279495
29	0.718421309520994	0.563157380958012	0.281578690479006
30	0.663647804412392	0.672704391175216	0.336352195587608
31	0.607459820438986	0.785080359122028	0.392540179561014
32	0.600008104890278	0.799983790219445	0.399991895109722
33	0.550114186992466	0.899771626015069	0.449885813007534
34	0.492187574441423	0.984375148882846	0.507812425558577
35	0.539526363712884	0.920947272574232	0.460473636287116
36	0.482011638045565	0.96402327609113	0.517988361954435
37	0.540257067836026	0.919485864327949	0.459742932163974
38	0.586869378263357	0.826261243473287	0.413130621736643
39	0.601418387087278	0.797163225825444	0.398581612912722
40	0.558454623392175	0.88309075321565	0.441545376607825
41	0.512275640239158	0.975448719521684	0.487724359760842
42	0.475406907132414	0.950813814264828	0.524593092867586
43	0.544718920965467	0.910562158069065	0.455281079034533
44	0.493782206441657	0.987564412883314	0.506217793558343
45	0.447288495267036	0.894576990534071	0.552711504732964
46	0.488640707274061	0.977281414548122	0.511359292725939
47	0.492138970053175	0.98427794010635	0.507861029946825
48	0.445580555678925	0.891161111357849	0.554419444321075
49	0.412510061560799	0.825020123121598	0.587489938439201
50	0.429687128473703	0.859374256947405	0.570312871526297
51	0.436009493242504	0.872018986485007	0.563990506757496
52	0.389131053156592	0.778262106313183	0.610868946843409
53	0.440678831080045	0.88135766216009	0.559321168919955
54	0.401002794598598	0.802005589197196	0.598997205401402
55	0.485522494152848	0.971044988305695	0.514477505847152
56	0.745440072566215	0.50911985486757	0.254559927433785
57	0.70686617360926	0.58626765278148	0.29313382639074
58	0.664118657003113	0.671762685993775	0.335881342996887
59	0.619811562902875	0.760376874194249	0.380188437097125
60	0.624105589684368	0.751788820631265	0.375894410315632
61	0.648443456565186	0.703113086869628	0.351556543434814
62	0.616499819646429	0.767000360707143	0.383500180353571
63	0.626412792483124	0.747174415033752	0.373587207516876
64	0.581522597166613	0.836954805666773	0.418477402833387
65	0.537104458954625	0.925791082090749	0.462895541045375
66	0.502829738862776	0.994340522274448	0.497170261137224
67	0.472682054329992	0.945364108659983	0.527317945670008
68	0.45117458000448	0.90234916000896	0.54882541999552
69	0.468489314115539	0.936978628231079	0.531510685884461
70	0.426593899112676	0.853187798225352	0.573406100887324
71	0.382747575836189	0.765495151672379	0.61725242416381
72	0.343839210882461	0.687678421764921	0.656160789117539
73	0.316594369654344	0.633188739308688	0.683405630345656
74	0.304277014443508	0.608554028887017	0.695722985556491
75	0.291781102980426	0.583562205960853	0.708218897019574
76	0.371745797757144	0.743491595514288	0.628254202242856
77	0.353584969848547	0.707169939697095	0.646415030151453
78	0.31842755391347	0.636855107826941	0.68157244608653
79	0.338696279151676	0.677392558303352	0.661303720848324
80	0.326413144066869	0.652826288133738	0.673586855933131
81	0.289804176306815	0.57960835261363	0.710195823693185
82	0.274515368249729	0.549030736499457	0.725484631750271
83	0.240308662481216	0.480617324962432	0.759691337518784
84	0.225391181874924	0.450782363749848	0.774608818125076
85	0.193738105314482	0.387476210628965	0.806261894685518
86	0.192445491370942	0.384890982741884	0.807554508629058
87	0.181862479825023	0.363724959650046	0.818137520174977
88	0.153127044763693	0.306254089527387	0.846872955236307
89	0.127291170955069	0.254582341910139	0.87270882904493
90	0.105627560555155	0.211255121110309	0.894372439444845
91	0.091408520372675	0.18281704074535	0.908591479627325
92	0.119930201138136	0.239860402276273	0.880069798861864
93	0.103520409161135	0.207040818322269	0.896479590838865
94	0.0880982030159536	0.176196406031907	0.911901796984046
95	0.0844142728219684	0.168828545643937	0.915585727178032
96	0.0804146826121505	0.160829365224301	0.91958531738785
97	0.0715223335837599	0.14304466716752	0.92847766641624
98	0.0936975811353429	0.187395162270686	0.906302418864657
99	0.0792752969182415	0.158550593836483	0.920724703081758
100	0.0639611309315292	0.127922261863058	0.93603886906847
101	0.0787488860467378	0.157497772093476	0.921251113953262
102	0.063501417225393	0.127002834450786	0.936498582774607
103	0.0593112645844314	0.118622529168863	0.940688735415569
104	0.0486463033391717	0.0972926066783434	0.951353696660828
105	0.0409984422056789	0.0819968844113577	0.959001557794321
106	0.0429563596904311	0.0859127193808622	0.957043640309569
107	0.0333280290277405	0.0666560580554811	0.96667197097226
108	0.0279508946685933	0.0559017893371865	0.972049105331407
109	0.0213737658936312	0.0427475317872625	0.978626234106369
110	0.0295653731321193	0.0591307462642385	0.97043462686788
111	0.0226257459305371	0.0452514918610743	0.977374254069463
112	0.0244182464128134	0.0488364928256267	0.975581753587187
113	0.021314862808086	0.0426297256161721	0.978685137191914
114	0.0174024270106409	0.0348048540212818	0.98259757298936
115	0.0132752291388035	0.026550458277607	0.986724770861196
116	0.0103141293228107	0.0206282586456214	0.98968587067719
117	0.0145834830627909	0.0291669661255818	0.98541651693721
118	0.0181101662062781	0.0362203324125561	0.981889833793722
119	0.0143897790933458	0.0287795581866916	0.985610220906654
120	0.0107931611223136	0.0215863222446271	0.989206838877686
121	0.008481309935038	0.016962619870076	0.991518690064962
122	0.00687081889911546	0.0137416377982309	0.993129181100885
123	0.00874084056863935	0.0174816811372787	0.99125915943136
124	0.0161726573940852	0.0323453147881705	0.983827342605915
125	0.0179102470090607	0.0358204940181214	0.98208975299094
126	0.0513927666417845	0.102785533283569	0.948607233358216
127	0.0410407284378418	0.0820814568756835	0.958959271562158
128	0.0317824588118468	0.0635649176236935	0.968217541188153
129	0.0273076116731552	0.0546152233463103	0.972692388326845
130	0.0270725513306382	0.0541451026612765	0.972927448669362
131	0.0227862134895969	0.0455724269791938	0.977213786510403
132	0.0252444637105345	0.0504889274210689	0.974755536289466
133	0.0406356643715856	0.0812713287431711	0.959364335628414
134	0.0411487857833465	0.082297571566693	0.958851214216654
135	0.041037248907004	0.082074497814008	0.958962751092996
136	0.0356289792584884	0.0712579585169768	0.964371020741512
137	0.0334338812606759	0.0668677625213517	0.966566118739324
138	0.0236581915680578	0.0473163831361156	0.976341808431942
139	0.0273303918165224	0.0546607836330448	0.972669608183478
140	0.0200269718938983	0.0400539437877965	0.979973028106102
141	0.0421283095092288	0.0842566190184575	0.957871690490771
142	0.0592336340273341	0.118467268054668	0.940766365972666
143	0.0428895900449931	0.0857791800899862	0.957110409955007
144	0.292644003708284	0.585288007416569	0.707355996291716
145	0.342922470570345	0.68584494114069	0.657077529429655
146	0.612260267797488	0.775479464405024	0.387739732202512
147	0.595236998562041	0.809526002875917	0.404763001437959
148	0.856549111252494	0.286901777495011	0.143450888747506
149	0.804449346068557	0.391101307862885	0.195550653931443
150	0.741740034849785	0.51651993030043	0.258259965150215
151	0.624965321147184	0.750069357705632	0.375034678852816
152	0.520600242564655	0.95879951487069	0.479399757435345
153	0.363041247662447	0.726082495324894	0.636958752337553

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	1	0.00689655172413793	OK
5% type I error level	28	0.193103448275862	NOK
10% type I error level	50	0.344827586206897	NOK