Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 6.45638046344027 + 0.109869875550479Connected[t] + 0.543599269953389Software[t] -0.102140496668171Depression[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)	6.45638046344027	1.84538	3.4987	0.000608	0.000304
Connected	0.109869875550479	0.043238	2.541	0.012017	0.006008
Software	0.543599269953389	0.068269	7.9626	0	0
Depression	-0.102140496668171	0.046427	-2.2	0.029258	0.014629

Multiple Linear Regression - Regression Statistics
Multiple R	0.591595188540567
R-squared	0.349984867104349
Adjusted R-squared	0.337642807618989
F-TEST (value)	28.3570880143208
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	9.99200722162641e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83626549484212
Sum Squared Residuals	532.755612872549

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.2585506404326	-3.25855064043256
2	16	15.5973521160464	0.402647883953638
3	19	16.4764988259011	2.52350117409891
4	15	11.8982562652074	3.10174373479259
5	14	15.113796311519	-1.11379631151903
6	13	14.5121328472229	-1.51213284722288
7	19	15.0174059226499	3.98259407735013
8	15	16.6788005481541	-1.67880054815413
9	14	15.9134822560165	-1.91348225601648
10	15	12.4553350218421	2.54466497815789
11	16	15.0460234672107	0.953976532789337
12	16	16.1177632493528	-0.117763249352825
13	16	15.6225195237766	0.377480476223413
14	16	15.2909306260418	0.709069373958152
15	17	17.2146704392252	-0.214670439225213
16	15	15.0654407671419	-0.0654407671418822
17	15	14.417721729437	0.582278270562979
18	20	16.0310815104493	3.96891848955073
19	18	15.6994926127145	2.30050738728547
20	16	15.1675812638101	0.832418736189947
21	16	15.2368249738657	0.763175026134311
22	16	14.9555708915914	1.0444291084086
23	19	16.582410159285	2.41758984071503
24	16	15.0711908749409	0.928809125059111
25	17	14.5101535761396	2.48984642386042
26	17	17.1085714003904	-0.10857140039044
27	16	14.7241432194415	1.27585678055847
28	15	16.160368685931	-1.16036868593097
29	16	15.1753106426924	0.824689357307638
30	14	14.3001224750042	-0.300122475004233
31	15	15.4662733749323	-0.466273374932258
32	12	12.2395538129078	-0.239553812907758
33	14	14.9361535916602	-0.936153591660184
34	16	15.5916020082474	0.408397991752646
35	14	15.387321014911	-1.38732101491101
36	7	12.960287397384	-5.96028739738396
37	10	10.8613925407611	-0.861392540761082
38	14	15.7092012626801	-1.70920126268014
39	16	14.0571945872563	1.94280541274365
40	16	14.7164138405592	1.28358615944077
41	16	15.0382940883284	0.961705911671645
42	14	15.2851805182428	-1.28518051824284
43	20	17.968300810314	2.03169918968605
44	14	14.3078518538865	-0.307851853886541
45	14	14.9438829705425	-0.943882970542492
46	11	15.7169306415624	-4.71693064156245
47	14	16.778961773739	-2.778961773739
48	15	14.9381328627435	0.0618671372565149
49	16	14.8591805027222	1.14081949727776
50	14	16.0310815104493	-2.03108151044927
51	16	16.5612012937213	-0.561201293721345
52	14	13.9782422272351	0.0217577727648966
53	12	14.6568787804692	-2.6568787804692
54	16	15.8287797881962	0.17122021180377
55	9	11.5666673674727	-2.56666736747267
56	14	12.5574755185103	1.44252448148972
57	16	15.9366703926634	0.0633296073365918
58	16	15.2465336238313	0.753466376168701
59	15	15.4797528616136	-0.479752861613573
60	16	14.2057113572184	1.79428864278163
61	12	11.514861686265	0.485138313735049
62	16	15.9289410137811	0.0710589862189001
63	16	16.576660051486	-0.576660051485961
64	14	14.411971621638	-0.411971621638014
65	16	15.387321014911	0.612678985088988
66	17	16.2450711537512	0.754928846248777
67	18	16.2856973192461	1.71430268075393
68	18	14.5063827394239	3.49361726057612
69	12	15.9366703926634	-3.93667039266341
70	16	15.3950503937933	0.60494960620668
71	10	13.6524034372994	-3.65240343729937
72	14	14.3098311249698	-0.309831124969843
73	18	16.4745195548178	1.52548044518221
74	18	17.2204205470242	0.779579452975779
75	16	15.5916020082474	0.408397991752646
76	17	13.6930296027942	3.30697039720578
77	16	16.2605299115158	-0.260529911515839
78	16	14.4351597582849	1.56484024171506
79	13	14.7281017616081	-1.72810176160814
80	16	16.1254926282351	-0.125492628235134
81	16	15.4817321326969	0.518267867303126
82	20	16.023352131567	3.97664786843304
83	16	15.9057528771342	0.0942471228658251
84	15	15.8190711382306	-0.819071138230621
85	15	14.7261224905248	0.273877509475165
86	16	14.1902525994538	1.80974740054625
87	14	14.1960027072528	-0.196002707252761
88	16	15.3795916360287	0.620408363971297
89	16	14.6336906438223	1.36630935617773
90	15	14.358186669347	0.641813330653006
91	12	13.4269135783994	-1.42691357839941
92	17	17.0335775825358	-0.0335775825357964
93	16	15.4971908904615	0.502809109538509
94	15	14.9633002704737	0.0366997295262889
95	13	15.1443931271631	-2.14439312716313
96	16	15.053752846093	0.946247153907029
97	16	15.9541084215113	0.0458915784886741
98	16	14.0706740739377	1.92932592606233
99	16	15.9212116348988	0.0787883651012084
100	14	14.3868042139078	-0.386804213907787
101	16	17.2204205470242	-1.22042054702422
102	16	14.8669098816045	1.13309011839545
103	20	17.3399990725403	2.66000092745969
104	15	14.828262987193	0.171737012806994
105	16	14.4274303794026	1.57256962059737
106	13	15.4336972882049	-2.43369728820486
107	17	16.0310815104493	0.968918489550729
108	16	15.8499886537599	0.150011346240146
109	16	14.8591805027222	1.14081949727776
110	12	12.5346080817485	-0.534608081748497
111	16	14.8457010160409	1.15429898395908
112	16	15.94062893483	0.0593710651699893
113	17	14.828262987193	2.17173701280699
114	13	14.4197010005203	-1.41970100052032
115	12	14.7318725983238	-2.73187259832384
116	18	16.5669514015204	1.43304859847965
117	14	15.7189099126458	-1.71890991264575
118	14	13.2129239350975	0.787076064902546
119	13	15.1424138560798	-2.14241385607983
120	16	15.6225195237766	0.377480476223413
121	13	14.5295708760708	-1.5295708760708
122	16	15.4991701615448	0.500829838455208
123	13	16.0310815104493	-3.03108151044927
124	16	17.3148316648101	-1.31483166481008
125	15	16.0253314026503	-1.02533140265026
126	16	16.8927901914561	-0.892790191456084
127	15	15.3601743360975	-0.360174336097484
128	17	16.2488419904669	0.751158009533072
129	15	13.8509343228367	1.14906567716329
130	12	14.9535916205081	-2.9535916205081
131	16	14.2846637172396	1.71533628276038
132	10	13.4695190149775	-3.46951901497755
133	16	14.1785646784048	1.82143532159516
134	12	13.8703516227679	-1.87035162276793
135	14	15.8190711382306	-1.81907113823062
136	15	15.0654407671419	-0.0654407671418822
137	13	12.0758989850663	0.924101014933742
138	15	14.7415812482895	0.258418751710549
139	11	13.5542214827978	-2.5542214827978
140	12	13.5270748039843	-1.52707480398428
141	8	13.5290540750676	-5.52905407506758
142	16	13.299605674001	2.70039432599899
143	15	13.2149032061808	1.78509679381924
144	17	16.6807798192374	0.319220180762566
145	16	14.6162526149744	1.38374738502564
146	10	14.0764241817367	-4.07642418173667
147	18	15.8133210304316	2.18667896956839
148	13	15.607060766012	-2.60706076601197
149	16	15.3718622571464	0.628137742853605
150	13	13.2535501005923	-0.253550100592297
151	10	13.2109446640142	-3.21094466401415
152	15	16.4013173025956	-1.40131730259555
153	16	14.1650851917235	1.83491480827647
154	16	12.3377357674093	3.66226423259067
155	14	12.7099508306389	1.29004916936109
156	10	12.5923515762061	-2.59235157620612
157	17	17.0335775825358	-0.0335775825357964
158	13	11.8038451474215	1.19615485257845
159	15	13.8509343228367	1.14906567716329
160	16	15.2522837316303	0.747716268369694
161	12	12.4824817006556	-0.482481700655641
162	13	12.9065024450929	0.0934975549070586

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.968060750114	0.063878499772001	0.0319392498860005
8	0.939350554124971	0.121298891750058	0.0606494458750288
9	0.897887369295708	0.204225261408585	0.102112630704292
10	0.85558607191316	0.288827856173681	0.14441392808684
11	0.834434594824157	0.331130810351686	0.165565405175843
12	0.789786679116173	0.420426641767655	0.210213320883827
13	0.714394091572579	0.571211816854841	0.28560590842742
14	0.639413206003771	0.721173587992458	0.360586793996229
15	0.571298042864067	0.857403914271865	0.428701957135933
16	0.511495161457486	0.977009677085028	0.488504838542514
17	0.42970753031551	0.859415060631019	0.57029246968449
18	0.770351623055981	0.459296753888038	0.229648376944019
19	0.79327547214562	0.41344905570876	0.20672452785438
20	0.737727536059211	0.524544927881578	0.262272463940789
21	0.679932019651361	0.640135960697279	0.320067980348639
22	0.61618002037475	0.767639959250499	0.38381997962525
23	0.660831585960642	0.678336828078716	0.339168414039358
24	0.599081353214566	0.801837293570868	0.400918646785434
25	0.583258757928774	0.833482484142453	0.416741242071226
26	0.517547627244566	0.964904745510868	0.482452372755434
27	0.459602912074598	0.919205824149197	0.540397087925402
28	0.433886463894426	0.867772927788852	0.566113536105574
29	0.374750745343716	0.749501490687432	0.625249254656284
30	0.350361771290278	0.700723542580557	0.649638228709722
31	0.300294243968167	0.600588487936334	0.699705756031833
32	0.28717007294958	0.57434014589916	0.71282992705042
33	0.277503054346901	0.555006108693802	0.722496945653099
34	0.230738746363254	0.461477492726509	0.769261253636746
35	0.227480541834956	0.454961083669913	0.772519458165044
36	0.763003397646508	0.473993204706984	0.236996602353492
37	0.750249416865135	0.49950116626973	0.249750583134865
38	0.752422612437685	0.49515477512463	0.247577387562315
39	0.77815155542213	0.443696889155739	0.22184844457787
40	0.754355148909776	0.491289702180448	0.245644851090224
41	0.719486133300557	0.561027733398887	0.280513866699443
42	0.703953193343357	0.592093613313285	0.296046806656643
43	0.709407001615936	0.581185996768128	0.290592998384064
44	0.669306419270542	0.661387161458915	0.330693580729458
45	0.644503820447454	0.710992359105092	0.355496179552546
46	0.870794576574655	0.258410846850691	0.129205423425345
47	0.898752995105782	0.202494009788436	0.101247004894218
48	0.874958632404639	0.250082735190722	0.125041367595361
49	0.854740140997489	0.290519718005021	0.145259859002511
50	0.861125743692704	0.277748512614593	0.138874256307296
51	0.833672269754126	0.332655460491748	0.166327730245874
52	0.80135667711081	0.39728664577838	0.19864332288919
53	0.838797978360248	0.322404043279503	0.161202021639752
54	0.807741251765949	0.384517496468103	0.192258748234051
55	0.8339629186296	0.3320741627408	0.1660370813704
56	0.818186066954479	0.363627866091043	0.181813933045521
57	0.78555326990204	0.428893460195919	0.21444673009796
58	0.762529271204433	0.474941457591133	0.237470728795567
59	0.726952952219167	0.546094095561666	0.273047047780833
60	0.719852762546927	0.560294474906146	0.280147237453073
61	0.680598706104259	0.638802587791481	0.319401293895741
62	0.637577147686411	0.724845704627177	0.362422852313589
63	0.596267390205911	0.807465219588178	0.403732609794089
64	0.552130056718856	0.895739886562289	0.447869943281144
65	0.510589332149092	0.978821335701817	0.489410667850908
66	0.472456847961407	0.944913695922814	0.527543152038593
67	0.460386052593584	0.920772105187167	0.539613947406416
68	0.584434086188546	0.831131827622907	0.415565913811454
69	0.737250906407678	0.525498187184644	0.262749093592322
70	0.701978829685092	0.596042340629817	0.298021170314908
71	0.806513398897811	0.386973202204378	0.193486601102189
72	0.774848704226083	0.450302591547834	0.225151295773917
73	0.762743130868107	0.474513738263787	0.237256869131893
74	0.732756831665831	0.534486336668339	0.267243168334169
75	0.695624375850422	0.608751248299156	0.304375624149578
76	0.772055475811246	0.455889048377509	0.227944524188754
77	0.737213000939061	0.525573998121877	0.262786999060939
78	0.726189075310667	0.547621849378667	0.273810924689333
79	0.721593541495651	0.556812917008698	0.278406458504349
80	0.682203274000991	0.635593451998018	0.317796725999009
81	0.643900207280968	0.712199585438063	0.356099792719032
82	0.786474429542807	0.427051140914386	0.213525570457193
83	0.751822643524877	0.496354712950245	0.248177356475123
84	0.721681627732478	0.556636744535044	0.278318372267522
85	0.682825373329266	0.634349253341469	0.317174626670734
86	0.681120258692787	0.637759482614426	0.318879741307213
87	0.640007555843155	0.719984888313689	0.359992444156845
88	0.601710607842841	0.796578784314318	0.398289392157159
89	0.582321608171767	0.835356783656465	0.417678391828233
90	0.552182571469796	0.895634857060407	0.447817428530204
91	0.534333805304077	0.931332389391846	0.465666194695923
92	0.492467780704579	0.984935561409159	0.507532219295421
93	0.451658105744369	0.903316211488738	0.548341894255631
94	0.407705492044351	0.815410984088701	0.592294507955649
95	0.423508969673328	0.847017939346657	0.576491030326672
96	0.391009929089414	0.782019858178827	0.608990070910586
97	0.352261298823731	0.704522597647462	0.647738701176269
98	0.35498751962517	0.709975039250341	0.64501248037483
99	0.313175976806375	0.626351953612751	0.686824023193625
100	0.2752090330668	0.5504180661336	0.7247909669332
101	0.250091301257766	0.500182602515533	0.749908698742234
102	0.234201994558696	0.468403989117393	0.765798005441304
103	0.29511857562919	0.59023715125838	0.70488142437081
104	0.25582839279949	0.511656785598981	0.74417160720051
105	0.254145868372828	0.508291736745656	0.745854131627172
106	0.269401651808429	0.538803303616859	0.730598348191571
107	0.24772557057561	0.49545114115122	0.75227442942439
108	0.222261353509602	0.444522707019205	0.777738646490397
109	0.211421327712659	0.422842655425317	0.788578672287341
110	0.194919354171176	0.389838708342353	0.805080645828824
111	0.17783709683513	0.35567419367026	0.82216290316487
112	0.152028138657151	0.304056277314302	0.847971861342849
113	0.163497996247271	0.326995992494542	0.836502003752729
114	0.146015536959656	0.292031073919312	0.853984463040344
115	0.16937429325813	0.33874858651626	0.83062570674187
116	0.169197033725363	0.338394067450725	0.830802966274637
117	0.153920249222733	0.307840498445467	0.846079750777267
118	0.130422009474702	0.260844018949403	0.869577990525298
119	0.140389777848082	0.280779555696164	0.859610222151918
120	0.126924510641046	0.253849021282093	0.873075489358954
121	0.111459065901759	0.222918131803518	0.888540934098241
122	0.0939746312083238	0.187949262416648	0.906025368791676
123	0.114539403243459	0.229078806486917	0.885460596756541
124	0.0978425298563277	0.195685059712655	0.902157470143672
125	0.0806875461217616	0.161375092243523	0.919312453878238
126	0.064851279680892	0.129702559361784	0.935148720319108
127	0.0501641932443717	0.100328386488743	0.949835806755628
128	0.0433689647224822	0.0867379294449643	0.956631035277518
129	0.0345119740236767	0.0690239480473533	0.965488025976323
130	0.0448015897957329	0.0896031795914658	0.955198410204267
131	0.0396122129035766	0.0792244258071532	0.960387787096423
132	0.0635243149145438	0.127048629829088	0.936475685085456
133	0.0732448071468089	0.146489614293618	0.926755192853191
134	0.0922480703620142	0.184496140724028	0.907751929637986
135	0.0776168704675008	0.155233740935002	0.922383129532499
136	0.0576660603556658	0.115332120711332	0.942333939644334
137	0.0432869093150234	0.0865738186300467	0.956713090684977
138	0.0312458892906887	0.0624917785813774	0.968754110709311
139	0.0488873897934139	0.0977747795868277	0.951112610206586
140	0.0404061333524431	0.0808122667048861	0.959593866647557
141	0.55815268925365	0.8836946214927	0.44184731074635
142	0.54210745441565	0.915785091168699	0.45789254558435
143	0.474499763673536	0.948999527347072	0.525500236326464
144	0.441768468060081	0.883536936120163	0.558231531939918
145	0.368893779810476	0.737787559620951	0.631106220189524
146	0.475658290785701	0.951316581571402	0.524341709214299
147	0.447323485922833	0.894646971845665	0.552676514077167
148	0.514819354205017	0.970361291589965	0.485180645794983
149	0.425953601467403	0.851907202934806	0.574046398532597
150	0.333945469095099	0.667890938190198	0.666054530904901
151	0.804096384801682	0.391807230396637	0.195903615198318
152	0.921964383539569	0.156071232920862	0.0780356164604312
153	0.85766364420512	0.28467271158976	0.14233635579488
154	0.760229649848777	0.479540700302447	0.239770350151223
155	0.719350436664676	0.561299126670649	0.280649563335324

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	0.0604026845637584	OK