Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 17.7776309431389 -0.28835113027119Gender[t] + 0.358509478841511Separate[t] + 0.344545056420027Learning[t] -0.129904848873766Software[t] + 0.0748566273482812Happiness[t] + 0.685191817204791Population[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)	17.7776309431389	3.007176	5.9117	0	0
Gender	-0.28835113027119	0.529048	-0.545	0.586511	0.293255
Separate	0.358509478841511	0.072594	4.9386	2e-06	1e-06
Learning	0.344545056420027	0.131191	2.6263	0.009498	0.004749
Software	-0.129904848873766	0.137094	-0.9476	0.344828	0.172414
Happiness	0.0748566273482812	0.10885	0.6877	0.492667	0.246333
Population	0.685191817204791	0.499459	1.3719	0.172087	0.086043

Multiple Linear Regression - Regression Statistics
Multiple R	0.435849630153994
R-squared	0.189964900105373
Adjusted R-squared	0.158608702690097
F-TEST (value)	6.05828881574866
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	1.01781375027032e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.09591757651607
Sum Squared Residuals	1485.62937429008

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.4777010256299	5.52229897437008
2	39	34.7896106801078	4.21038931989224
3	30	35.1699666817546	-5.16996668175455
4	31	34.6071188958748	-3.60711889587478
5	34	35.4835450090312	-1.48354500903117
6	35	32.8103519231969	2.18964807680309
7	39	35.0354050122594	3.96459498774056
8	34	34.5047706658346	-0.504770665834566
9	36	34.1363824556688	1.86361754433116
10	37	37.0210768590608	-0.0210768590607845
11	38	34.0893087358581	3.91069126414187
12	36	34.7663895990605	1.23361040093949
13	38	34.7395405620387	3.26045943796132
14	39	36.1057624812555	2.89423751874453
15	33	35.7218919180355	-2.72189191803549
16	32	34.6625948745335	-2.66259487453355
17	36	34.5638950934396	1.43610490656043
18	38	38.1140863026149	-0.114086302614887
19	39	36.9334904696702	2.06650953032985
20	32	33.8248007593326	-1.82480075933264
21	32	35.4364712892205	-3.43647128922046
22	31	33.7771999609545	-2.77719996095452
23	39	36.7298746980715	2.27012530192854
24	37	36.8500372679087	0.149962732091349
25	39	35.6074599371982	3.39254006280177
26	41	34.2006363926457	6.79936360735427
27	36	36.1336818410807	-0.133681841080688
28	33	34.8632801446761	-1.86328014467608
29	33	34.1084536108259	-1.10845361082587
30	34	34.3532896338162	-0.353289633816206
31	31	32.7314096047514	-1.73140960475136
32	27	33.7152129945787	-6.71521299457874
33	37	33.1118674927469	3.88813250725311
34	34	35.5424915261919	-1.54249152619192
35	34	32.5573295643842	1.44267043561581
36	32	32.7054719222387	-0.705471922238722
37	29	32.6279965912516	-3.62799659125158
38	36	33.707714628257	2.29228537174299
39	29	33.8009576055869	-4.80095760558694
40	35	35.1920930013528	-0.192093001352822
41	37	34.9832967772079	2.01670322279213
42	34	34.1794119425389	-0.179411942538891
43	38	35.7868093858674	2.21319061413257
44	35	34.4281462611645	0.571853738835512
45	38	31.662055919481	6.33794408051905
46	37	32.8033207770156	4.19667922298436
47	38	35.4405155221611	2.55948447783888
48	33	34.9375146993259	-1.93751469932591
49	36	36.8658109258085	-0.865810925808546
50	38	33.1994918947189	4.80050810528106
51	32	35.7160479346342	-3.71604793463418
52	32	33.5023310793365	-1.50233107933652
53	32	32.7191980060238	-0.719198006023831
54	34	35.5465262741148	-1.54652627411482
55	32	32.3112439273869	-0.311243927386879
56	37	33.8402831123869	3.1597168876131
57	39	34.5418197170157	4.45818028298434
58	29	34.4669630896674	-5.46696308966738
59	37	35.0331230880305	1.96687691196951
60	35	34.5022029053701	0.497797094629929
61	30	31.3516049741403	-1.35160497414026
62	38	35.2907927824468	2.7092072175532
63	34	34.951428178573	-0.95142817857303
64	31	34.8766224943991	-3.87662249439912
65	34	33.3914346531429	0.60856534685715
66	35	35.671199727268	-0.671199727267961
67	36	34.9553264742083	1.04467352579171
68	30	32.840172947717	-2.84017294771697
69	39	35.9250315542411	3.07496844575887
70	35	36.5160344736679	-1.5160344736679
71	38	33.8498256072482	4.15017439275178
72	31	35.4166723684154	-4.41667236841542
73	34	36.6887908989675	-2.68879089896746
74	38	37.6941609869217	0.305839013078328
75	34	32.7812264305562	1.21877356944377
76	39	34.2278067125026	4.77219328749739
77	37	35.5622999320147	1.43770006798529
78	34	34.0568180645248	-0.0568180645248449
79	28	33.3313424313587	-5.33134243135875
80	37	32.7812264305562	4.21877356944377
81	33	35.4723331776216	-2.47233317762159
82	37	37.642388988333	-0.642388988333005
83	35	35.5424915261919	-0.542491526191916
84	37	34.8123081292301	2.18769187076989
85	32	34.2523228821211	-2.25232288212112
86	33	33.5763877235421	-0.5763877235421
87	38	36.9336778651322	1.06632213486784
88	33	35.0772982795239	-2.07729827952389
89	29	33.6002308772878	-4.6002308772878
90	33	33.1650555356196	-0.165055535619596
91	31	35.0304214401929	-4.03042144019295
92	36	34.2402532042913	1.75974679570868
93	35	37.6617212587628	-2.66172125876275
94	32	31.89650453285	0.10349546714999
95	29	32.5347685675495	-3.53476856754949
96	39	36.203840189651	2.79615981034899
97	37	35.1561896547951	1.84381034520492
98	35	34.3914843896207	0.608515610379343
99	37	34.9050274746351	2.09497252536486
100	32	35.0430527625291	-3.04305276252907
101	38	35.7590774215042	2.24092257849577
102	37	35.019158665609	1.98084133439099
103	36	36.605813832599	-0.605813832599007
104	32	32.0901906299501	-0.0901906299501221
105	33	36.3894153327487	-3.3894153327487
106	40	33.2407121461106	6.75928785388943
107	38	35.930066069482	2.06993393051801
108	41	36.5478616141461	4.45213838585387
109	36	34.8694454109124	1.13055458908756
110	43	36.9172916195516	6.08270838044842
111	30	35.1521549068722	-5.15215490687217
112	31	34.23440922089	-3.23440922089001
113	32	37.3012660921552	-5.30126609215519
114	32	33.4182177933625	-1.41821779336247
115	37	34.2583542609844	2.74164573901556
116	37	34.6723371535701	2.32766284642988
117	33	35.7241683736544	-2.72416837365435
118	34	36.3736926180232	-2.37369261802318
119	33	33.8468856207743	-0.846885620774297
120	38	35.1091254200021	2.89087457999788
121	33	35.0993831409655	-2.09938314096555
122	31	32.4378270787596	-1.43782707875955
123	38	35.9110671318196	2.08893286818035
124	37	35.6411913072859	1.3588086927141
125	33	32.9169847478491	0.0830152521509419
126	31	34.2542176267128	-3.2542176267128
127	39	34.7884649754844	4.21153502451559
128	44	36.8836736438653	7.11632635613471
129	33	36.2137698641496	-3.21376986414959
130	35	33.5453700512243	1.45462994877568
131	32	35.1920930013528	-3.19209300135282
132	28	32.3369818257243	-4.33698182572426
133	40	36.062110921687	3.93788907831302
134	27	32.0730009277662	-5.07300092776619
135	37	36.1854538396694	0.814546160330646
136	32	33.0899190835929	-1.08991908359287
137	28	30.1950451590133	-2.19504515901333
138	34	34.8243268638855	-0.824326863885542
139	30	33.0631304747632	-3.06313047476317
140	35	33.6084022594823	1.39159774051766
141	31	33.2826563565494	-2.2826563565494
142	32	35.6717743023672	-3.67177430236724
143	30	34.8753403374881	-4.87534033748812
144	30	34.7054464509593	-4.70544645095934
145	31	31.6268066187605	-0.62680661876051
146	40	32.6038321546708	7.39616784532918
147	32	33.2766304462962	-1.27663044629617
148	36	34.8244633161732	1.17553668382682
149	32	34.140407718574	-2.14040771857399
150	35	32.9452348755271	2.05476512447292
151	38	34.9166210170719	3.08337898292811
152	42	34.9183283662016	7.08167163379844
153	34	37.339115126479	-3.33911512647899
154	35	37.4995615122775	-2.49956151227748
155	35	33.8483526082327	1.1516473917673
156	33	31.6940704554212	1.30592954457881
157	36	34.2402532042913	1.75974679570868
158	32	35.2134288228261	-3.21342882282615
159	33	35.5285780469448	-2.5285780469448
160	34	33.7301357261616	0.269864273838436
161	32	33.742341856279	-1.742341856279
162	34	34.5202530188888	-0.520253018888824

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.859310087582643	0.281379824834713	0.140689912417357
11	0.846822512925746	0.306354974148509	0.153177487074255
12	0.758473887970931	0.483052224058138	0.241526112029069
13	0.752581497558518	0.494837004882965	0.247418502441482
14	0.748813163145543	0.502373673708914	0.251186836854457
15	0.791080054976865	0.41783989004627	0.208919945023135
16	0.863528597838846	0.272942804322307	0.136471402161154
17	0.807954504114497	0.384090991771006	0.192045495885503
18	0.741167072614097	0.517665854771806	0.258832927385903
19	0.718506914846416	0.562986170307167	0.281493085153583
20	0.681634352837541	0.636731294324918	0.318365647162459
21	0.747346521038254	0.505306957923491	0.252653478961746
22	0.732173312540315	0.53565337491937	0.267826687459685
23	0.704641985743807	0.590716028512386	0.295358014256193
24	0.638583292703545	0.72283341459291	0.361416707296455
25	0.616056227789874	0.767887544420251	0.383943772210126
26	0.795890675531301	0.408218648937398	0.204109324468699
27	0.747137663227047	0.505724673545906	0.252862336772953
28	0.709880887921961	0.580238224156077	0.290119112078039
29	0.664654997628324	0.670690004743351	0.335345002371676
30	0.610474847312906	0.779050305374189	0.389525152687094
31	0.591384082616418	0.817231834767163	0.408615917383582
32	0.764781909387356	0.470436181225289	0.235218090612644
33	0.776520561161952	0.446958877676096	0.223479438838048
34	0.745318694588225	0.50936261082355	0.254681305411775
35	0.717026122148174	0.565947755703653	0.282973877851826
36	0.6678615611479	0.6642768777042	0.3321384388521
37	0.658913633802994	0.682172732394013	0.341086366197007
38	0.642917486805593	0.714165026388814	0.357082513194407
39	0.726931848433948	0.546136303132103	0.273068151566052
40	0.678997159103616	0.642005681792768	0.321002840896384
41	0.643311277099565	0.71337744580087	0.356688722900435
42	0.592077556956407	0.815844886087185	0.407922443043593
43	0.549676087136841	0.900647825726318	0.450323912863159
44	0.498160487386078	0.996320974772155	0.501839512613922
45	0.649903158658733	0.700193682682535	0.350096841341267
46	0.685325453476644	0.629349093046711	0.314674546523356
47	0.665273530301899	0.669452939396202	0.334726469698101
48	0.641579529089019	0.716840941821963	0.358420470910981
49	0.59574165237887	0.80851669524226	0.40425834762113
50	0.639251821665023	0.721496356669955	0.360748178334977
51	0.667160687068526	0.665678625862947	0.332839312931473
52	0.635081560423887	0.729836879152227	0.364918439576113
53	0.593004437876935	0.81399112424613	0.406995562123065
54	0.559415954386715	0.88116809122657	0.440584045613285
55	0.510107864389388	0.979784271221223	0.489892135610611
56	0.50057039676184	0.998859206476321	0.49942960323816
57	0.535566470390415	0.92886705921917	0.464433529609585
58	0.653454415561226	0.693091168877548	0.346545584438774
59	0.624666327014345	0.75066734597131	0.375333672985655
60	0.579495389483757	0.841009221032486	0.420504610516243
61	0.548551686152237	0.902896627695526	0.451448313847763
62	0.533919907154033	0.932160185691934	0.466080092845967
63	0.492044384323895	0.98408876864779	0.507955615676105
64	0.513499937334419	0.973000125331162	0.486500062665581
65	0.469103597100366	0.938207194200731	0.530896402899634
66	0.425182544000321	0.850365088000642	0.574817455999679
67	0.383499130113165	0.766998260226331	0.616500869886835
68	0.391940308495838	0.783880616991676	0.608059691504162
69	0.391228014368695	0.78245602873739	0.608771985631305
70	0.356777591401791	0.713555182803581	0.64322240859821
71	0.38672185343117	0.773443706862341	0.61327814656883
72	0.435015545345177	0.870031090690355	0.564984454654823
73	0.422047594007891	0.844095188015782	0.577952405992109
74	0.377318615253894	0.754637230507787	0.622681384746106
75	0.339028131502202	0.678056263004404	0.660971868497798
76	0.393151582367627	0.786303164735254	0.606848417632373
77	0.357894500527479	0.715789001054958	0.642105499472521
78	0.316373634387727	0.632747268775454	0.683626365612273
79	0.398699446399596	0.797398892799191	0.601300553600404
80	0.436249659212671	0.872499318425341	0.563750340787329
81	0.417023847499137	0.834047694998274	0.582976152500863
82	0.372970943596791	0.745941887193581	0.62702905640321
83	0.331015165883546	0.662030331767091	0.668984834116454
84	0.310065928794734	0.620131857589468	0.689934071205266
85	0.290943587183243	0.581887174366486	0.709056412816757
86	0.25510199002155	0.5102039800431	0.74489800997845
87	0.224202844938015	0.44840568987603	0.775797155061985
88	0.205061268623716	0.410122537247432	0.794938731376284
89	0.243933763685844	0.487867527371689	0.756066236314156
90	0.208807597279553	0.417615194559106	0.791192402720447
91	0.230210264017769	0.460420528035538	0.769789735982231
92	0.206456851855902	0.412913703711803	0.793543148144098
93	0.197073134749902	0.394146269499804	0.802926865250098
94	0.167407482839259	0.334814965678517	0.832592517160741
95	0.17481347464302	0.34962694928604	0.82518652535698
96	0.169020163015136	0.338040326030271	0.830979836984864
97	0.150471589078323	0.300943178156647	0.849528410921677
98	0.12732800245743	0.25465600491486	0.87267199754257
99	0.114269842306446	0.228539684612892	0.885730157693554
100	0.111710871591459	0.223421743182918	0.88828912840854
101	0.100141467599447	0.200282935198894	0.899858532400553
102	0.089407393686308	0.178814787372616	0.910592606313692
103	0.071985342205758	0.143970684411516	0.928014657794242
104	0.0577028222747546	0.115405644549509	0.942297177725245
105	0.0586284621709764	0.117256924341953	0.941371537829024
106	0.140280477685654	0.280560955371308	0.859719522314346
107	0.127082121438079	0.254164242876158	0.872917878561921
108	0.159946612162068	0.319893224324136	0.840053387837932
109	0.146943600211464	0.293887200422927	0.853056399788537
110	0.270024658392966	0.540049316785933	0.729975341607034
111	0.332475673709424	0.664951347418849	0.667524326290576
112	0.319864212404972	0.639728424809944	0.680135787595028
113	0.389436557022982	0.778873114045965	0.610563442977017
114	0.346876911879729	0.693753823759459	0.65312308812027
115	0.324470400830081	0.648940801660162	0.675529599169919
116	0.316166553366337	0.632333106732675	0.683833446633663
117	0.319535661394044	0.639071322788087	0.680464338605956
118	0.303351638569165	0.60670327713833	0.696648361430835
119	0.267118049152062	0.534236098304123	0.732881950847938
120	0.253784257503285	0.507568515006569	0.746215742496716
121	0.23254356687958	0.465087133759161	0.76745643312042
122	0.198490597740456	0.396981195480911	0.801509402259544
123	0.169558323914855	0.339116647829711	0.830441676085145
124	0.139242372693716	0.278484745387432	0.860757627306284
125	0.110704429459893	0.221408858919787	0.889295570540107
126	0.118285440845682	0.236570881691365	0.881714559154318
127	0.189030381882578	0.378060763765155	0.810969618117422
128	0.395233528795776	0.790467057591551	0.604766471204224
129	0.387462513035782	0.774925026071565	0.612537486964218
130	0.332737444754291	0.665474889508583	0.667262555245709
131	0.294039409424497	0.588078818848994	0.705960590575503
132	0.350123890070279	0.700247780140559	0.64987610992972
133	0.473475728297172	0.946951456594343	0.526524271702828
134	0.536499749117573	0.927000501764853	0.463500250882427
135	0.485745993185223	0.971491986370447	0.514254006814777
136	0.435496128132623	0.870992256265246	0.564503871867377
137	0.399117219941023	0.798234439882047	0.600882780058977
138	0.349775998242482	0.699551996484963	0.650224001757518
139	0.490181144916862	0.980362289833724	0.509818855083138
140	0.420309566497351	0.840619132994703	0.579690433502649
141	0.664629449068685	0.67074110186263	0.335370550931315
142	0.621463800638026	0.757072398723948	0.378536199361974
143	0.559862748997133	0.880274502005733	0.440137251002867
144	0.75425679211877	0.491486415762459	0.245743207881229
145	0.706703986017345	0.58659202796531	0.293296013982655
146	0.95484658799524	0.090306824009521	0.0451534120047605
147	0.951493829873377	0.097012340253245	0.0485061701266225
148	0.951344423988689	0.0973111520226229	0.0486555760113114
149	0.914349030774854	0.171301938450292	0.0856509692251459
150	0.860796033249214	0.278407933501572	0.139203966750786
151	0.795915144486693	0.408169711026614	0.204084855513307
152	0.95036184476051	0.09927631047898	0.04963815523949

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	4	0.027972027972028	OK