Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 9.99029068354278 + 0.14257750156273Connected[t] + 0.000698117508729918Separate[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)	9.99029068354278	2.107928	4.7394	5e-06	2e-06
Connected	0.14257750156273	0.055703	2.5596	0.011411	0.005706
Separate	0.000698117508729918	0.052925	0.0132	0.989492	0.494746

Multiple Linear Regression - Regression Statistics
Multiple R	0.213688027211599
R-squared	0.0456625729735849
Adjusted R-squared	0.0336583286084727
F-TEST (value)	3.80386899706022
F-TEST (DF numerator)	2
F-TEST (DF denominator)	159
p-value	0.0243391563836944
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.21796505403771
Sum Squared Residuals	782.179667968267

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	15.8624967129465	-2.86249671294649
2	16	15.5731530047686	0.42684699523138
3	19	14.2920498432302	4.70795015676976
4	15	14.4332311097755	0.566768890224493
5	14	14.8637560844986	-0.863756084498617
6	13	15.0007486459915	-2.00074864599151
7	19	15.5724548872599	3.42754511274011
8	15	14.8630579669899	0.136942033010113
9	14	15.1475148526066	-1.14751485260662
10	15	15.2921867066955	-0.292186706695538
11	16	15.4298773856972	0.570122614302841
12	16	15.1468167350979	0.853183264902112
13	16	15.4326698557321	0.567330144267921
14	16	15.577341709821	0.422658290179001
15	17	14.7211785829359	2.27882141706411
16	15	14.5758086113382	0.424191388661763
17	15	15.1454205000804	-0.145420500080428
18	20	15.4347642082583	4.56523579174173
19	18	15.577341709821	2.422658290179
20	16	14.5751104938295	1.42488950617049
21	16	14.5758086113382	1.42419138866176
22	16	14.431834874758	1.56816512524195
23	19	15.577341709821	3.422658290179
24	16	15.2928848242043	0.707115175795732
25	17	15.5731530047686	1.42684699523138
26	17	15.8583080078941	1.14169199210592
27	16	15.1475148526066	0.852485147393382
28	15	14.7211785829359	0.278821417064113
29	16	14.718386112901	1.28161388709903
30	14	14.8609636144637	-0.860963614463698
31	15	14.4297405222319	0.570259477768143
32	12	13.8622229860159	-1.86222298601586
33	14	15.2872998841344	-1.28729988413443
34	16	14.8637560844986	1.13624391550138
35	14	14.8588692619375	-0.858869261937508
36	7	14.5758086113382	-7.57580861133824
37	10	14.1466798716326	-4.14667987163259
38	14	15.1461186175892	-1.14611861758916
39	16	14.1466798716326	1.85332012836741
40	16	15.0035411160264	0.996458883973572
41	16	15.2879980016432	0.712001998356841
42	14	14.8609636144637	-0.860963614463698
43	20	15.4305755032059	4.56942449679411
44	14	15.0035411160264	-1.00354111602643
45	14	15.427783033171	-1.42778303317097
46	11	15.2900923541693	-4.29009235416935
47	14	15.435462325767	-1.435462325767
48	15	14.7190842304097	0.280915769590303
49	16	15.1496092051328	0.850390794867192
50	14	15.4305755032059	-1.43057550320589
51	16	14.5792991988819	1.42070080111811
52	14	14.573714258812	-0.573714258812047
53	12	14.5758086113382	-2.57580861133824
54	16	14.8644542020073	1.13554579799265
55	9	14.5751104938295	-5.57511049382951
56	14	15.2879980016432	-1.28799800164316
57	16	15.5745492397861	0.425450760213921
58	16	14.1487742241588	1.85122577584122
59	15	15.2907904716781	-0.290790471678078
60	16	15.0042392335352	0.995760766464842
61	12	14.2871630206691	-2.28716302066913
62	16	15.4319717382233	0.568028261776651
63	16	14.8623598494812	1.13764015051884
64	14	14.434627344793	-0.434627344792966
65	16	14.8595673794462	1.14043262055376
66	17	15.0063335860613	1.99366641393865
67	18	15.1475148526066	2.85248514739338
68	18	14.2864649031604	3.7135350968396
69	12	15.5787379448385	-3.57873794483846
70	16	15.0063335860613	0.993666413938652
71	10	15.4333679732408	-5.43336797324081
72	14	14.4367216973192	-0.436721697319156
73	18	14.8651523195161	3.13484768048392
74	18	15.4368585607845	2.56314143921554
75	16	14.8567749094113	1.14322509058868
76	17	15.5717567697512	1.42824323024884
77	16	15.2914885891868	0.708511410813192
78	16	14.8595673794462	1.14043262055376
79	13	14.0041023700699	-1.00410237006986
80	16	15.2845074140995	0.715492585900491
81	16	14.7204804654272	1.27951953457284
82	20	15.2921867066955	4.70781329330446
83	16	15.0063335860613	0.993666413938652
84	15	15.2886961191519	-0.288696119151888
85	15	14.576506728847	0.423493271153033
86	16	14.7169898778835	1.28301012211649
87	14	15.435462325767	-1.435462325767
88	16	14.7190842304097	1.2809157695903
89	16	14.1473779891413	1.85262201085868
90	15	14.718386112901	0.281613887099033
91	12	14.4353254623017	-2.4353254623017
92	17	15.1454205000804	1.85457949991957
93	16	15.0091260560963	0.990873943903733
94	15	14.5723180237946	0.427681976205413
95	13	14.1459817541239	-1.14598175412386
96	16	15.5759454748035	0.424054525196461
97	16	15.2900923541693	0.709907645830652
98	16	15.002144881009	0.997855118991032
99	16	15.2893942366606	0.710605763339382
100	14	14.5779029638644	-0.577902963864427
101	16	15.4333679732408	0.566632026759191
102	16	15.2900923541693	0.709907645830652
103	20	15.1489110876241	4.85108891237592
104	15	14.5723180237946	0.427681976205413
105	16	14.7225748179533	1.27742518204665
106	13	15.7157305063314	-2.71573050633135
107	17	15.4326698557321	1.56733014426792
108	16	15.8631948304552	0.136805169544811
109	16	15.1475148526066	0.852485147393382
110	12	16.1504441861068	-4.15044418610684
111	16	14.2913517257215	1.70864827427849
112	16	14.4332311097755	1.56676889022449
113	17	14.5813935514081	2.41860644859192
114	13	14.5758086113382	-1.57580861133824
115	12	15.2893942366606	-3.28939423666062
116	18	15.2879980016432	2.71200199835684
117	14	14.7232729354621	-0.723272935462077
118	14	14.8658504370248	-0.865850437024807
119	13	14.7197823479184	-1.71978234791843
120	16	15.4333679732408	0.566632026759191
121	13	14.7211785829359	-1.72117858293589
122	16	14.4290424047231	1.57095759527687
123	13	15.435462325767	-2.435462325767
124	16	15.2921867066955	0.707813293304462
125	15	14.7169898778835	0.283010122116493
126	16	14.4332311097755	1.56676889022449
127	15	15.5731530047686	-0.573153004768619
128	17	16.2909273351434	0.709072664856619
129	15	14.7204804654272	0.279519534572843
130	12	15.0035411160264	-3.00354111602643
131	16	14.5758086113382	1.42419138866176
132	10	14.0048004875786	-4.00480048757859
133	16	15.719221093875	0.280778906125001
134	12	13.8608267509984	-1.8608267509984
135	14	15.2921867066955	-1.29218670669554
136	15	14.5730161413033	0.426983858696683
137	13	13.9978193124913	-0.997819312491287
138	15	14.8623598494812	0.137640150518843
139	11	14.2920498432302	-3.29204984323024
140	12	15.0042392335352	-3.00423923353516
141	8	14.434627344793	-6.43462734479297
142	16	14.576506728847	1.42349327115303
143	15	14.2913517257215	0.708648274278494
144	17	14.2920498432302	2.70795015676976
145	16	14.4262499346882	1.57375006531179
146	10	15.7150323888226	-5.71503238882262
147	18	14.5716199062859	3.42838009371414
148	13	15.1482129701153	-2.14821297011535
149	16	14.5744123763208	1.42558762367922
150	13	15.0028429985177	-2.0028429985177
151	10	15.435462325767	-5.435462325767
152	15	16.0043760970005	-1.00437609700046
153	16	14.8644542020073	1.13554579799265
154	16	15.0077298210788	0.992270178921193
155	14	15.0042392335352	-1.00423923353516
156	10	14.7169898778835	-4.71698987788351
157	17	15.1454205000804	1.85457949991957
158	13	14.5786010813732	-1.57860108137316
159	15	14.7204804654272	0.279519534572843
160	16	14.860265496955	1.13973450304503
161	12	14.5772048463557	-2.5772048463557
162	13	14.8630579669899	-1.86305796698989

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.696750409408381	0.606499181183238	0.303249590591619
7	0.887282522929796	0.225434954140408	0.112717477070204
8	0.812678774487084	0.374642451025833	0.187321225512916
9	0.742077065752298	0.515845868495403	0.257922934247702
10	0.645491540498834	0.709016919002331	0.354508459501166
11	0.543484485808594	0.913031028382811	0.456515514191406
12	0.447855071463149	0.895710142926299	0.552144928536851
13	0.367236161694547	0.734472323389095	0.632763838305453
14	0.307559992099493	0.615119984198985	0.692440007900507
15	0.268384597839903	0.536769195679806	0.731615402160097
16	0.21480272958376	0.42960545916752	0.78519727041624
17	0.162171521211651	0.324343042423302	0.837828478788349
18	0.391581767891347	0.783163535782695	0.608418232108653
19	0.37761765353017	0.755235307060341	0.62238234646983
20	0.312226534800741	0.624453069601482	0.687773465199259
21	0.252484332345791	0.504968664691582	0.747515667654209
22	0.20182303416323	0.40364606832646	0.79817696583677
23	0.238745503102513	0.477491006205025	0.761254496897487
24	0.192374508467414	0.384749016934828	0.807625491532586
25	0.161968021694836	0.323936043389671	0.838031978305165
26	0.130812301182538	0.261624602365077	0.869187698817462
27	0.0993358960097411	0.198671792019482	0.900664103990259
28	0.0793874151502507	0.158774830300501	0.920612584849749
29	0.0591539407245851	0.11830788144917	0.940846059275415
30	0.0542370612867167	0.108474122573433	0.945762938713283
31	0.039019640991379	0.078039281982758	0.960980359008621
32	0.0500527984230954	0.100105596846191	0.949947201576905
33	0.0457340258652241	0.0914680517304482	0.954265974134776
34	0.0335151830249238	0.0670303660498475	0.966484816975076
35	0.0263551035871469	0.0527102071742938	0.973644896412853
36	0.474441459502065	0.94888291900413	0.525558540497935
37	0.579928488638721	0.840143022722558	0.420071511361279
38	0.545592878608186	0.908814242783628	0.454407121391814
39	0.549297822771817	0.901404354456366	0.450702177228183
40	0.503521069636208	0.992957860727584	0.496478930363792
41	0.453861300780398	0.907722601560796	0.546138699219602
42	0.411968304068891	0.823936608137782	0.588031695931109
43	0.556916645010467	0.886166709979065	0.443083354989533
44	0.52136370224813	0.957272595503741	0.47863629775187
45	0.489948988058716	0.979897976117432	0.510051011941284
46	0.661453345064388	0.677093309871225	0.338546654935612
47	0.656690547016734	0.686618905966532	0.343309452983266
48	0.609970645582422	0.780058708835156	0.390029354417578
49	0.564802010996348	0.870395978007304	0.435197989003652
50	0.539298347854797	0.921403304290407	0.460701652145203
51	0.50306511339075	0.993869773218499	0.49693488660925
52	0.455481467229379	0.910962934458757	0.544518532770621
53	0.469584451893581	0.939168903787161	0.530415548106419
54	0.428558421836669	0.857116843673338	0.571441578163331
55	0.658263405350521	0.683473189298957	0.341736594649479
56	0.62783753375834	0.744324932483321	0.37216246624166
57	0.583082225099316	0.833835549801369	0.416917774900684
58	0.574744712638361	0.850510574723279	0.425255287361639
59	0.531780706948576	0.936438586102849	0.468219293051424
60	0.493182259182762	0.986364518365523	0.506817740817238
61	0.479330526702908	0.958661053405815	0.520669473297092
62	0.434937413244572	0.869874826489143	0.565062586755428
63	0.399266152691882	0.798532305383764	0.600733847308118
64	0.356713105097147	0.713426210194294	0.643286894902853
65	0.330407515531097	0.660815031062194	0.669592484468903
66	0.314796332619529	0.629592665239059	0.685203667380471
67	0.336011088051396	0.672022176102792	0.663988911948604
68	0.455588841314104	0.911177682628209	0.544411158685896
69	0.556005901992328	0.887988196015343	0.443994098007671
70	0.517831488089405	0.96433702382119	0.482168511910595
71	0.734904162028594	0.530191675942811	0.265095837971406
72	0.698580771586433	0.602838456827133	0.301419228413567
73	0.73078338819693	0.538433223606141	0.26921661180307
74	0.738764643989991	0.522470712020019	0.261235356010009
75	0.713931177541579	0.572137644916842	0.286068822458421
76	0.69179496593169	0.616410068136619	0.30820503406831
77	0.655485515516375	0.689028968967249	0.344514484483624
78	0.624865492100231	0.750269015799539	0.375134507899769
79	0.589501745590593	0.820996508818814	0.410498254409407
80	0.550898698054292	0.898202603891417	0.449101301945708
81	0.5203629384727	0.9592741230546	0.4796370615273
82	0.672864219402565	0.654271561194869	0.327135780597435
83	0.641242883463999	0.717514233072001	0.358757116536001
84	0.599212237214212	0.801575525571577	0.400787762785788
85	0.556745584900212	0.886508830199577	0.443254415099789
86	0.528376050386922	0.943247899226155	0.471623949613077
87	0.506101161229621	0.987797677540759	0.493898838770379
88	0.47726407049503	0.954528140990061	0.52273592950497
89	0.464800369042909	0.929600738085818	0.535199630957091
90	0.421211163202968	0.842422326405937	0.578788836797032
91	0.43010174396021	0.860203487920419	0.56989825603979
92	0.420724828546404	0.841449657092807	0.579275171453596
93	0.389805182328242	0.779610364656485	0.610194817671758
94	0.348747425609221	0.697494851218442	0.651252574390779
95	0.316958488227418	0.633916976454836	0.683041511772582
96	0.282295982612623	0.564591965225247	0.717704017387377
97	0.251628808051739	0.503257616103478	0.748371191948261
98	0.225521079290757	0.451042158581514	0.774478920709243
99	0.198764699237911	0.397529398475822	0.801235300762089
100	0.169989013881258	0.339978027762515	0.830010986118742
101	0.14738296820991	0.294765936419819	0.85261703179009
102	0.127673427943866	0.255346855887732	0.872326572056134
103	0.265651208272189	0.531302416544378	0.734348791727811
104	0.230938087129812	0.461876174259623	0.769061912870188
105	0.214745278755294	0.429490557510588	0.785254721244706
106	0.221987458991137	0.443974917982274	0.778012541008863
107	0.216625150719858	0.433250301439716	0.783374849280142
108	0.194077756968345	0.388155513936691	0.805922243031655
109	0.174665654169129	0.349331308338258	0.825334345830871
110	0.229525991062648	0.459051982125296	0.770474008937352
111	0.220345181691619	0.440690363383238	0.779654818308381
112	0.209269936700939	0.418539873401878	0.790730063299061
113	0.247656150275324	0.495312300550648	0.752343849724676
114	0.222980807682912	0.445961615365825	0.777019192317087
115	0.252116828969299	0.504233657938597	0.747883171030701
116	0.288508188699207	0.577016377398414	0.711491811300793
117	0.253631148849845	0.507262297699689	0.746368851150155
118	0.220760456418548	0.441520912837096	0.779239543581452
119	0.196791183003382	0.393582366006763	0.803208816996618
120	0.174366888856909	0.348733777713817	0.825633111143091
121	0.152368687925959	0.304737375851918	0.847631312074041
122	0.138922201399686	0.277844402799371	0.861077798600314
123	0.128508150538693	0.257016301077386	0.871491849461307
124	0.114802894548377	0.229605789096753	0.885197105451623
125	0.0933835224507496	0.186767044901499	0.90661647754925
126	0.0904074259976608	0.180814851995322	0.909592574002339
127	0.0708224797553309	0.141644959510662	0.929177520244669
128	0.0670397690115105	0.134079538023021	0.93296023098849
129	0.0551821458696646	0.110364291739329	0.944817854130335
130	0.0561358728754944	0.112271745750989	0.943864127124506
131	0.0530367182395185	0.106073436479037	0.946963281760482
132	0.0816433054617633	0.163286610923527	0.918356694538237
133	0.0756944420228049	0.15138888404561	0.924305557977195
134	0.0734489808077975	0.146897961615595	0.926551019192203
135	0.057560493804811	0.115120987609622	0.942439506195189
136	0.0430798530446793	0.0861597060893585	0.956920146955321
137	0.0420091665821601	0.0840183331643203	0.95799083341784
138	0.0324701875020024	0.0649403750040047	0.967529812497998
139	0.0440075852609387	0.0880151705218774	0.955992414739061
140	0.0412224723444074	0.0824449446888148	0.958777527655593
141	0.302932955374037	0.605865910748074	0.697067044625963
142	0.259765061774605	0.519530123549209	0.740234938225395
143	0.206240383313195	0.412480766626391	0.793759616686805
144	0.194652956350994	0.389305912701988	0.805347043649006
145	0.149771880585025	0.299543761170049	0.850228119414975
146	0.291694314595825	0.583388629191651	0.708305685404175
147	0.331427487350498	0.662854974700997	0.668572512649502
148	0.274020637775875	0.548041275551749	0.725979362224125
149	0.259011921589305	0.518023843178611	0.740988078410695
150	0.202818474729452	0.405636949458905	0.797181525270548
151	0.53169929485314	0.936601410293719	0.46830070514686
152	0.785893931426853	0.428212137146294	0.214106068573147
153	0.70349806741139	0.59300386517722	0.29650193258861
154	0.587971186123481	0.824057627753038	0.412028813876519
155	0.533555990031659	0.932888019936682	0.466444009968341
156	0.778480404581349	0.443039190837301	0.22151959541865

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	9	0.0596026490066225	OK