Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 8.50282042919936 + 0.0126911512935991Belonging[t] + 0.133736377698481Connected[t] + 0.0340105765377038Age[t] + 0.44538665056419Gender[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)	8.50282042919936	2.194898	3.8739	0.000157	7.8e-05
Belonging	0.0126911512935991	0.01656	0.7664	0.444606	0.222303
Connected	0.133736377698481	0.052554	2.5447	0.011901	0.00595
Age	0.0340105765377038	0.15309	0.2222	0.824477	0.412239
Gender	0.44538665056419	0.364662	1.2214	0.223777	0.111888

Multiple Linear Regression - Regression Statistics
Multiple R	0.245778157669621
R-squared	0.060406902787473
Adjusted R-squared	0.0364682251514851
F-TEST (value)	2.52340182302555
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	0.0431354634466263
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.21473804354757
Sum Squared Residuals	770.0951424413

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	15.7874902702901	-2.78749027029015
2	16	15.8708043545065	0.129195645493473
3	19	14.4133539293482	4.58664607065178
4	15	14.1143948077761	0.885605192223893
5	14	15.1772426826912	-1.17724268269124
6	13	15.2683402099015	-2.26834020990151
7	19	15.4519963618178	3.54800363818224
8	15	15.1599861347902	-0.159986134790232
9	14	15.3173014058879	-1.3173014058879
10	15	15.4424095096359	-0.44240950963587
11	16	15.2368538437264	0.763146156273635
12	16	15.0634783800159	0.936521619984086
13	16	15.0505494516655	0.949450548334527
14	16	15.4986980896491	0.501301910350941
15	17	15.1490983926846	1.85090160731535
16	15	14.1679214003699	0.8320785996301
17	15	14.9526270596927	0.0473729403072886
18	20	15.7964608559329	4.20353914406705
19	18	15.2482441050963	2.75175589490373
20	16	14.6346274761782	1.3653725238218
21	16	14.235440034181	1.76455996581901
22	16	14.5724726096339	1.4275273903661
23	19	15.5327086661868	3.46729133381324
24	16	15.290618213377	0.709381786623
25	17	15.4254177039423	1.57458229605766
26	17	16.0281196256042	0.97188037439581
27	16	15.0673499405994	0.932650059400578
28	15	14.8866470928622	0.113352907137839
29	16	14.9668568779668	1.03314312203315
30	14	14.5156039408716	-0.515603940871549
31	15	14.7247664251571	0.275233574842914
32	12	13.4144643301654	-1.4144643301654
33	14	15.4469749062433	-1.44697490624328
34	16	15.1767401634269	0.823259836573075
35	14	14.6044419999267	-0.604441999926743
36	7	14.298895790649	-7.29889579064898
37	10	13.7961574472047	-3.79615744720475
38	14	14.8338413014429	-0.833841301442907
39	16	14.4065290645857	1.59347093541427
40	16	14.6747226211572	1.32527737884277
41	16	15.0056511330222	0.994348866977814
42	14	15.1305409548599	-1.13054095485994
43	20	14.8855644848487	5.11443551515132
44	14	14.4929836257037	-0.492983625703748
45	14	15.5893395578923	-1.58933955789227
46	11	15.4429120289002	-4.44291202890019
47	14	15.4705537996425	-1.47055379964246
48	15	14.9287834240861	0.0712165759139481
49	16	15.2832908293502	0.716709170649809
50	14	15.1520786620143	-1.15207866201426
51	16	14.7229630159691	1.27703698403093
52	14	14.2481311854746	-0.248131185474588
53	12	14.1973665803002	-2.19736658030019
54	16	14.9655559880432	1.03444401195685
55	9	14.1973665803002	-5.19736658030019
56	14	15.4764200861736	-1.47642008617357
57	16	15.752521115521	0.247478884478959
58	16	14.2582981264056	1.74170187359437
59	15	15.0269705582663	-0.0269705582662902
60	16	15.1668109995527	0.833189000447278
61	12	13.8029823119672	-1.80298231196724
62	16	15.2454821176769	0.754517882323129
63	16	15.1219126809094	0.878087319090565
64	14	14.4714459185494	-0.471445918549423
65	16	14.8640267776944	1.13597322230564
66	17	14.8143252853868	2.18567471461318
67	18	15.2497827720768	2.75021722792319
68	18	14.0908159143769	3.90918408562308
69	12	15.5789078747537	-3.57890787475375
70	16	14.6747226211572	1.32527737884277
71	10	15.0505494516655	-5.05054945166547
72	14	14.3947964915235	-0.39479649152351
73	18	15.1046561330084	2.89534386699158
74	18	15.1099423307904	2.89005766920963
75	16	14.7653640894004	1.23463591059956
76	17	15.8286680232826	1.17133197671736
77	16	15.4342837549497	0.565716245050317
78	16	15.0543940470983	0.945605952901654
79	13	13.8400971876167	-0.840097187616656
80	16	14.8198492602256	1.18015073977439
81	16	14.568171955234	1.43182804476604
82	20	14.4472404761038	5.55275952389617
83	16	15.1454915743086	0.854508425691383
84	15	14.9589494051909	0.0410505948091176
85	15	14.8590053221199	0.140994677880115
86	16	15.0561974562864	0.943802543713638
87	14	15.1520786620143	-1.15207866201426
88	16	14.8526365163245	1.14736348367554
89	16	14.1613343126643	1.83866568733575
90	15	14.8313170910804	0.168682908919647
91	12	14.6359283661019	-2.63592836610189
92	17	15.0634783800159	1.93652161998409
93	16	15.2216384820702	0.778361517929788
94	15	14.8838851054428	0.116114894557235
95	13	14.4913042462978	-1.49130424629783
96	16	15.8286680232826	0.171331976717364
97	16	15.3875820271184	0.61241797288162
98	16	15.2683402099015	0.731659790098485
99	16	15.0944891920774	0.905510807922621
100	14	14.4303727001924	-0.430372700192387
101	16	15.6101564638721	0.389843536127945
102	16	15.0269705582663	0.97302944173371
103	20	15.4909146466552	4.50908535334481
104	15	14.2694506107187	0.730549389281307
105	16	14.9455374527227	1.05446254727726
106	13	15.330713358356	-2.33071335835603
107	17	15.6101564638721	1.38984353612795
108	16	15.5705443430107	0.429455656989281
109	16	14.6521023059894	1.34789769401057
110	12	16.0341461197073	-4.0341461197073
111	16	14.6504229265835	1.34957707341649
112	16	14.6826300939332	1.3173699060668
113	17	14.9600320132044	2.03996798679564
114	13	13.9140983744979	-0.914098374497919
115	12	15.4764200861736	-3.47642008617357
116	18	15.2599766781585	2.74002332184151
117	14	14.7302903999959	-0.730290399995879
118	14	14.9990640453165	-0.999064045316537
119	13	14.9206576693999	-1.92065766939987
120	16	15.8218431585201	0.178156841479854
121	13	14.6962798234582	-1.69627982345817
122	16	14.8100441261335	1.18995587386649
123	13	15.8431625837643	-2.84316258376425
124	16	15.5104306627113	0.489569337288722
125	15	14.9034011214989	0.0965988785011463
126	16	14.7120752738635	1.28792472613651
127	15	15.5101928856544	-0.510192885654436
128	17	16.4212030040134	0.578796995986555
129	15	15.0729514849231	-0.0729514849230541
130	12	15.1581827256022	-3.15818272560222
131	16	14.298895790649	1.70110420935102
132	10	13.7004945233871	-3.70049452338707
133	16	15.9243309471003	0.0756690528996806
134	12	13.5200564178573	-1.52005641785728
135	14	15.0056511330222	-1.00565113302219
136	15	14.9519062585182	0.0480937414818276
137	13	13.5482007078639	-0.548200707863877
138	15	14.5328604887726	0.467139511227439
139	11	14.3290812669004	-3.32908126690044
140	12	15.0906640917911	-3.09066409179113
141	8	14.1397771103633	-6.1397771103633
142	16	14.6305645988351	1.3694354011649
143	15	14.1964080020688	0.803591997931189
144	17	14.6671769552202	2.3328230447798
145	16	14.2413063207121	1.7586936792879
146	10	16.0766247626235	-6.07662476262351
147	18	14.7737276211435	3.22627237885653
148	13	14.6942386372133	-1.69423863721332
149	16	14.3496603958234	1.65033960417662
150	13	14.793508379407	-1.79350837940703
151	10	15.7583874020522	-5.75838740205215
152	15	16.2511965816222	-1.25119658162218
153	16	14.7364214287345	1.26357857126553
154	16	15.1921933021399	0.80780669786008
155	14	15.2221410013345	-1.22214100133453
156	10	14.9328463014291	-4.93284630142915
157	17	15.0634783800159	1.93652161998409
158	13	14.7529107151637	-1.75291071516368
159	15	15.0729514849231	-0.0729514849230541
160	16	15.2447613165023	0.755238683497668
161	12	14.9432779845677	-2.94327798456767
162	13	15.0203834705606	-2.02038347056064

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.473398162027527	0.946796324055054	0.526601837972473
9	0.527078657405654	0.945842685188693	0.472921342594346
10	0.463916646094643	0.927833292189286	0.536083353905357
11	0.557063964608613	0.885872070782774	0.442936035391387
12	0.45328625151644	0.906572503032881	0.54671374848356
13	0.345177322196863	0.690354644393727	0.654822677803137
14	0.254549075055289	0.509098150110579	0.745450924944711
15	0.311130451843741	0.622260903687482	0.688869548156259
16	0.246500603121607	0.493001206243214	0.753499396878393
17	0.183496044474301	0.366992088948602	0.816503955525699
18	0.451061459252436	0.902122918504871	0.548938540747564
19	0.529111531911845	0.94177693617631	0.470888468088155
20	0.456406028755825	0.91281205751165	0.543593971244176
21	0.3851959983394	0.7703919966788	0.6148040016606
22	0.317571256364975	0.635142512729949	0.682428743635025
23	0.38435614088571	0.768712281771419	0.61564385911429
24	0.319231524033033	0.638463048066065	0.680768475966967
25	0.270760677122234	0.541521354244469	0.729239322877766
26	0.218785981612632	0.437571963225265	0.781214018387368
27	0.173611482536151	0.347222965072303	0.826388517463849
28	0.139279664977072	0.278559329954144	0.860720335022928
29	0.106419186001783	0.212838372003566	0.893580813998217
30	0.0982126101229216	0.196425220245843	0.901787389877078
31	0.074756579884613	0.149513159769226	0.925243420115387
32	0.0829401743203281	0.165880348640656	0.917059825679672
33	0.0847288627711882	0.169457725542376	0.915271137228812
34	0.0636861612584452	0.12737232251689	0.936313838741555
35	0.0523223965469933	0.104644793093987	0.947677603453007
36	0.50883057719674	0.98233884560652	0.49116942280326
37	0.58065723025864	0.838685539482721	0.419342769741361
38	0.530439930504451	0.939120138991098	0.469560069495549
39	0.501567680742096	0.996864638515808	0.498432319257904
40	0.472405412950977	0.944810825901954	0.527594587049023
41	0.429184685859772	0.858369371719545	0.570815314140228
42	0.406583834236927	0.813167668473854	0.593416165763073
43	0.598014265821986	0.803971468356029	0.401985734178014
44	0.553695061594985	0.89260987681003	0.446304938405015
45	0.555129092733845	0.88974181453231	0.444870907266155
46	0.725101505692914	0.549796988614173	0.274898494307086
47	0.714715132477666	0.570569735044667	0.285284867522334
48	0.669970406418895	0.660059187162209	0.330029593581105
49	0.626003628072239	0.747992743855523	0.373996371927761
50	0.596355751832335	0.80728849633533	0.403644248167665
51	0.560736230572545	0.87852753885491	0.439263769427455
52	0.511454949763798	0.977090100472405	0.488545050236202
53	0.506978435269159	0.986043129461681	0.493021564730841
54	0.466435824992138	0.932871649984276	0.533564175007862
55	0.660362993998392	0.679274012003217	0.339637006001608
56	0.64271737342586	0.714565253148281	0.357282626574141
57	0.598835188197221	0.802329623605559	0.401164811802779
58	0.582357130253319	0.835285739493362	0.417642869746681
59	0.534846996231855	0.93030600753629	0.465153003768145
60	0.492377900290819	0.984755800581638	0.507622099709181
61	0.470110030933347	0.940220061866693	0.529889969066653
62	0.42868856958952	0.85737713917904	0.57131143041048
63	0.388623038480583	0.777246076961167	0.611376961519416
64	0.345593546693171	0.691187093386342	0.654406453306829
65	0.312699944368283	0.625399888736565	0.687300055631717
66	0.314058532750777	0.628117065501554	0.685941467249223
67	0.331007653644996	0.662015307289993	0.668992346355004
68	0.436496992221087	0.872993984442174	0.563503007778913
69	0.518542523810438	0.962914952379125	0.481457476189562
70	0.488487798077936	0.976975596155872	0.511512201922064
71	0.668470274462708	0.663059451074584	0.331529725537292
72	0.626556451030973	0.746887097938054	0.373443548969027
73	0.651207834422919	0.697584331154162	0.348792165577081
74	0.679257085473552	0.641485829052895	0.320742914526448
75	0.647596551577895	0.704806896844211	0.352403448422106
76	0.61653523176009	0.766929536479819	0.383464768239909
77	0.57585059429176	0.84829881141648	0.42414940570824
78	0.538178423451235	0.92364315309753	0.461821576548765
79	0.500286937543394	0.999426124913211	0.499713062456606
80	0.468963079736731	0.937926159473461	0.531036920263269
81	0.439832994502962	0.879665989005925	0.560167005497038
82	0.707557170768685	0.584885658462631	0.292442829231315
83	0.676250992386995	0.64749801522601	0.323749007613005
84	0.635649575510187	0.728700848979627	0.364350424489813
85	0.591820888427521	0.816358223144958	0.408179111572479
86	0.553617365994663	0.892765268010674	0.446382634005337
87	0.518479780861381	0.963040438277238	0.481520219138619
88	0.488584767154577	0.977169534309154	0.511415232845423
89	0.482935988904376	0.965871977808751	0.517064011095624
90	0.440355881589899	0.880711763179797	0.559644118410101
91	0.455810327341436	0.911620654682871	0.544189672658564
92	0.473382844138914	0.946765688277827	0.526617155861086
93	0.437768739664213	0.875537479328426	0.562231260335787
94	0.392699865494487	0.785399730988973	0.607300134505513
95	0.370531490604336	0.741062981208672	0.629468509395664
96	0.331291172186884	0.662582344373769	0.668708827813116
97	0.304377163066988	0.608754326133975	0.695622836933012
98	0.271850651035506	0.543701302071011	0.728149348964494
99	0.242477514027688	0.484955028055376	0.757522485972312
100	0.209801186047132	0.419602372094264	0.790198813952868
101	0.185691843133159	0.371383686266319	0.81430815686684
102	0.164648440566481	0.329296881132961	0.83535155943352
103	0.290421515555795	0.58084303111159	0.709578484444205
104	0.256921816455858	0.513843632911715	0.743078183544142
105	0.239224492542782	0.478448985085563	0.760775507457218
106	0.228996646435137	0.457993292870274	0.771003353564863
107	0.233295031249494	0.466590062498988	0.766704968750506
108	0.207547170844499	0.415094341688998	0.792452829155501
109	0.210305785124167	0.420611570248334	0.789694214875833
110	0.254240425914011	0.508480851828022	0.745759574085989
111	0.228793556694369	0.457587113388738	0.771206443305631
112	0.21082715665792	0.421654313315839	0.78917284334208
113	0.219538126105265	0.439076252210529	0.780461873894736
114	0.185823208398592	0.371646416797184	0.814176791601408
115	0.206444845047615	0.412889690095231	0.793555154952385
116	0.225585342093187	0.451170684186375	0.774414657906813
117	0.190972864964429	0.381945729928859	0.80902713503557
118	0.161525862064348	0.323051724128695	0.838474137935652
119	0.147418501999188	0.294837003998376	0.852581498000812
120	0.126190984344655	0.252381968689309	0.873809015655346
121	0.108010646143695	0.21602129228739	0.891989353856305
122	0.0901719269554355	0.180343853910871	0.909828073044564
123	0.0920929212133111	0.184185842426622	0.907907078786689
124	0.078507398386919	0.157014796773838	0.921492601613081
125	0.0636273945817552	0.12725478916351	0.936372605418245
126	0.0600274331387888	0.120054866277578	0.93997256686121
127	0.0462487535234265	0.0924975070468529	0.953751246476573
128	0.0468560155612142	0.0937120311224285	0.953143984438786
129	0.0352818270780491	0.0705636541560982	0.964718172921951
130	0.0343355509001615	0.068671101800323	0.965664449099839
131	0.0350082148336634	0.0700164296673268	0.964991785166337
132	0.0517711435496937	0.103542287099387	0.948228856450306
133	0.0495408701472339	0.0990817402944677	0.950459129852766
134	0.0427992876386358	0.0855985752772715	0.957200712361364
135	0.032580572102357	0.065161144204714	0.967419427897643
136	0.0230316212288801	0.0460632424577602	0.97696837877112
137	0.017092971458363	0.034185942916726	0.982907028541637
138	0.0120624340400525	0.0241248680801049	0.987937565959948
139	0.027510263205109	0.055020526410218	0.972489736794891
140	0.0286853364724849	0.0573706729449698	0.971314663527515
141	0.26395754506152	0.527915090123041	0.73604245493848
142	0.215264495806276	0.430528991612553	0.784735504193724
143	0.164968542930933	0.329937085861867	0.835031457069067
144	0.183131037655935	0.366262075311871	0.816868962344065
145	0.16369650060207	0.327393001204139	0.83630349939793
146	0.177839145465097	0.355678290930195	0.822160854534903
147	0.428292225955063	0.856584451910126	0.571707774044937
148	0.395753845798648	0.791507691597296	0.604246154201352
149	0.569824336801597	0.860351326396807	0.430175663198403
150	0.463171669378792	0.926343338757584	0.536828330621208
151	0.578739658482964	0.842520683034072	0.421260341517036
152	0.619744493181101	0.760511013637798	0.380255506818899
153	0.473806940604998	0.947613881209996	0.526193059395002
154	0.341035283355678	0.682070566711356	0.658964716644322

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	3	0.0204081632653061	OK
10% type I error level	13	0.0884353741496599	OK