Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 6.53434064382781 + 0.0873193945853505Connected[t] -0.014045738475813Separate[t] + 0.519348248914638Software[t] + 0.0304668915436922Happiness[t] -0.0835180370613452Depression[t] + 0.0153373237416681Belonging[t] -0.00399108905256656t + 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)	6.53434064382781	2.444401	2.6732	0.008329	0.004164
Connected	0.0873193945853505	0.043356	2.014	0.045762	0.022881
Separate	-0.014045738475813	0.041291	-0.3402	0.734197	0.367099
Software	0.519348248914638	0.067123	7.7373	0	0
Happiness	0.0304668915436922	0.071469	0.4263	0.67049	0.335245
Depression	-0.0835180370613452	0.052935	-1.5777	0.116691	0.058346
Belonging	0.0153373237416681	0.014504	1.0575	0.291968	0.145984
t	-0.00399108905256656	0.003081	-1.2956	0.197069	0.098535

Multiple Linear Regression - Regression Statistics
Multiple R	0.613208100987728
R-squared	0.376024175116976
Adjusted R-squared	0.347476261560236
F-TEST (value)	13.1716867633643
F-TEST (DF numerator)	7
F-TEST (DF denominator)	153
p-value	3.1907809727727e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.71678491065182
Sum Squared Residuals	450.944615704593

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.0460838528533	-3.04608385285334
2	16	16.0978854720565	-0.0978854720564648
3	19	16.6187187563686	2.38128124363138
4	15	12.2688445880293	2.73115541197066
5	14	15.6143076175297	-1.61430761752971
6	13	15.0952278482479	-2.09522784824791
7	19	15.1106383280845	3.88936167191552
8	15	16.9713242202552	-1.9713242202552
9	14	16.1392821471749	-2.1392821471749
10	15	14.4025490268356	0.597450973164367
11	16	15.4610456161102	0.538954383889829
12	16	16.1235117839571	-0.123511783957113
13	16	15.6206706709185	0.379329329081526
14	16	15.209447689791	0.790552310209007
15	17	17.6741165821685	-0.674116582168503
16	15	15.1802222027614	-0.180222202761398
17	15	14.7615924363051	0.238407563694872
18	20	16.4280021978545	3.57199780214554
19	18	15.6160038471028	2.38399615289716
20	16	15.307418081434	0.692581918565993
21	16	15.2613158314681	0.738684168531906
22	16	15.1590203135979	0.840979686402121
23	19	16.3183266771825	2.68167332281752
24	16	14.8896593529274	1.11034064707262
25	17	16.5409837524434	0.459016247556615
26	17	17.0622567007993	-0.0622567007993019
27	16	15.0063695483651	0.993630451634889
28	15	16.287354596739	-1.28735459673898
29	16	15.5528708060404	0.447129193959562
30	14	14.3904425234722	-0.390442523472172
31	15	15.87707304005	-0.877073040049984
32	12	12.4410863242391	-0.44108632423913
33	14	15.163223672435	-1.16322367243501
34	16	15.9066298550937	0.0933701449062522
35	14	15.6500827322888	-1.65008273228881
36	10	13.265086391234	-3.26508639123402
37	10	12.727741817731	-2.72774181773097
38	14	15.8385839962544	-1.8385839962544
39	16	14.5174086001451	1.48259139985485
40	16	14.7800135692866	1.21998643071339
41	16	15.1858454467376	0.81415455326237
42	14	15.5727609632611	-1.57276096326111
43	20	17.6691623615627	2.33083763843728
44	14	14.1387756696789	-0.138775669678916
45	14	15.0696607461849	-1.06966074618494
46	11	15.6144856270065	-4.61448562700648
47	14	16.5709069707458	-2.57090697074579
48	15	15.1481882666103	-0.148188266610253
49	16	15.0614967185108	0.938503281489179
50	14	16.0633090042108	-2.06330900421075
51	16	16.6187303550879	-0.618730355087899
52	14	14.1780196281422	-0.178019628142177
53	12	14.6837657036483	-2.68376570364832
54	16	15.6527346763494	0.347265323650569
55	9	11.6694846725896	-2.66948467258964
56	14	12.5777743435091	1.42222565649092
57	16	16.0036265752432	-0.00362657524322894
58	16	15.3226855308472	0.677314469152831
59	15	15.3869151033687	-0.386915103368729
60	16	14.2534262966507	1.74657370334928
61	12	11.5388756636925	0.46112433630749
62	16	15.9344810690503	0.0655189309496812
63	16	16.5909413491474	-0.590941349147434
64	14	14.2618668653366	-0.26186686533658
65	16	15.2400247389463	0.759975261053671
66	17	16.1718988962265	0.828101103773526
67	18	16.1173030644178	1.88269693558221
68	18	14.6991351119578	3.3008648880422
69	12	15.6722816230555	-3.67228162305551
70	16	15.3696560764776	0.630343923522355
71	10	13.5866524120327	-3.58665241203271
72	14	14.195891330998	-0.195891330997984
73	18	16.5485343575736	1.45146564242639
74	18	16.9322355961948	1.06776440380516
75	16	15.8225188056093	0.177481194390736
76	17	13.894982244311	3.10501775568903
77	16	16.1954946350854	-0.195494635085416
78	16	14.5038462571406	1.49615374285942
79	13	15.0129915707567	-2.01299157075666
80	16	15.7714379059751	0.22856209402487
81	16	15.5690883948052	0.430911605194758
82	16	15.7700278406369	0.229972159363091
83	15	15.8074459225013	-0.807445922501287
84	15	14.7876596578462	0.212340342153843
85	16	14.356478619995	1.64352138000496
86	14	14.1571625912084	-0.157162591208444
87	16	15.3058751714197	0.69412482858025
88	16	14.4696171221247	1.53038287787534
89	15	14.2788274441128	0.7211725558872
90	12	13.6023588239322	-1.60235882393221
91	17	16.6269243638083	0.373075636191673
92	16	15.4318857904126	0.568114209587381
93	15	15.2277147708315	-0.227714770831527
94	13	15.0813275746976	-2.08132757469762
95	16	15.0442372330375	0.955762766962504
96	16	15.7295295273941	0.270470472605887
97	16	14.1462494894847	1.85375051051533
98	16	15.9702173667754	0.0297826332246418
99	14	14.4087389652808	-0.408738965280757
100	16	17.0669910224862	-1.06699102248623
101	16	14.7322268792687	1.26777312073132
102	20	17.3302055136579	2.66979448634215
103	15	14.6657299251388	0.334270074861162
104	16	14.4982176969474	1.50178230305259
105	13	15.1210647666331	-2.12106476663309
106	17	15.9044088002123	1.09559119978767
107	16	15.5814492454538	0.418550754546195
108	16	14.3481449641976	1.65185503580237
109	12	11.9053155487678	0.0946844512321837
110	16	15.0609499367424	0.939050063257641
111	16	15.8229243141858	0.17707568581423
112	17	14.8455704288843	2.15442957111575
113	13	13.8834738038531	-0.883473803853096
114	12	14.737925679879	-2.73792567987902
115	18	16.579546342974	1.42045365702602
116	14	15.2281114767074	-1.22811147670737
117	14	12.99760178337	1.00239821663001
118	13	14.8993115345838	-1.89931153458377
119	16	15.6581955051037	0.341804494896259
120	13	14.0711360179465	-1.07113601794653
121	16	15.5535329647761	0.446467035223899
122	13	15.953286738566	-2.95328673856601
123	16	16.9658873937755	-0.96588739377553
124	15	16.1569827481446	-1.15698274814463
125	16	16.7580898664056	-0.758089866405582
126	15	15.4110906664556	-0.411090666455593
127	17	15.8522913759243	1.14770862407565
128	15	13.9760046762488	1.0239953237512
129	12	14.8005465356512	-2.80054653565118
130	16	14.1060139812216	1.89398601877844
131	10	13.3359227827828	-3.33592278278283
132	16	13.9381832706654	2.06181672933456
133	12	13.8537668978712	-1.85376689787118
134	14	15.5185421206393	-1.5185421206393
135	15	15.2365070835217	-0.236507083521653
136	13	12.0440600114522	0.955939988547819
137	15	14.4011861094136	0.598813890586378
138	11	13.1320965306762	-2.13209653067624
139	12	13.2328826440951	-1.23288264409513
140	11	13.3171512856996	-2.3171512856996
141	16	12.8930870818786	3.10691291812139
142	15	13.3481826926909	1.6518173073091
143	17	16.6251495125964	0.374850487403569
144	16	14.6920646620491	1.3079353379509
145	10	14.1015702832193	-4.10157028321932
146	18	15.7690449902574	2.23095500974264
147	13	14.9873219097027	-1.98732190970275
148	16	15.1318447564792	0.868155243520752
149	13	13.0275017473578	-0.0275017473578297
150	10	13.1303945600366	-3.13039456003663
151	15	16.0188472173771	-1.01884721737711
152	16	13.8617086186959	2.13829138130414
153	16	12.0158620853918	3.98413791460822
154	14	12.6607154650181	1.33928453498189
155	10	12.6056861353774	-2.60568613537736
156	17	16.3675035753915	0.6324964246085
157	13	11.6139167601168	1.38608323988322
158	15	13.8562720046718	1.14372799532819
159	16	15.0647264580227	0.93527354197734
160	12	12.4616481771048	-0.461648177104801
161	13	12.6278304637159	0.372169536284078

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.481497887360728	0.962995774721455	0.518502112639272
12	0.871705652601217	0.256588694797566	0.128294347398783
13	0.846305887526328	0.307388224947344	0.153694112473672
14	0.780046013217814	0.439907973564373	0.219953986782186
15	0.737400087384505	0.52519982523099	0.262599912615495
16	0.795639467715875	0.40872106456825	0.204360532284125
17	0.737521636391295	0.52495672721741	0.262478363608705
18	0.933958479699222	0.132083040601555	0.0660415203007775
19	0.922238630878952	0.155522738242097	0.0777613691210485
20	0.89290761048422	0.21418477903156	0.10709238951578
21	0.852113728622542	0.295772542754916	0.147886271377458
22	0.827253121189925	0.34549375762015	0.172746878810075
23	0.812098186377982	0.375803627244036	0.187901813622018
24	0.793946035063577	0.412107929872845	0.206053964936423
25	0.745086483473725	0.50982703305255	0.254913516526275
26	0.702626882430882	0.594746235138236	0.297373117569118
27	0.652255958979877	0.695488082040245	0.347744041020123
28	0.700838544837989	0.598322910324023	0.299161455162011
29	0.647537473857094	0.704925052285811	0.352462526142906
30	0.656570562022048	0.686858875955903	0.343429437977952
31	0.610097287001727	0.779805425996547	0.389902712998273
32	0.60449582386217	0.791008352275661	0.39550417613783
33	0.585861384985096	0.828277230029807	0.414138615014904
34	0.525014374474828	0.949971251050344	0.474985625525172
35	0.515143124821159	0.969713750357682	0.484856875178841
36	0.640342916297304	0.719314167405392	0.359657083702696
37	0.719938550595105	0.560122898809791	0.280061449404895
38	0.703938096436158	0.592123807127684	0.296061903563842
39	0.743706465001261	0.512587069997478	0.256293534998739
40	0.727497098223011	0.545005803553978	0.272502901776989
41	0.69460210299427	0.61079579401146	0.30539789700573
42	0.669197524487946	0.661604951024108	0.330802475512054
43	0.69728358413978	0.60543283172044	0.30271641586022
44	0.651675826209365	0.69664834758127	0.348324173790635
45	0.613297604614154	0.773404790771691	0.386702395385846
46	0.835284606129869	0.329430787740262	0.164715393870131
47	0.85285406484946	0.294291870301079	0.14714593515054
48	0.827217597314511	0.345564805370979	0.172782402685489
49	0.81893707819298	0.362125843614039	0.18106292180702
50	0.812293242776662	0.375413514446676	0.187706757223338
51	0.778388417689486	0.443223164621027	0.221611582310514
52	0.743498364818519	0.513003270362963	0.256501635181481
53	0.762993972540844	0.474012054918312	0.237006027459156
54	0.73532637467816	0.529347250643681	0.264673625321841
55	0.770939240050276	0.458121519899448	0.229060759949724
56	0.778013987543351	0.443972024913298	0.221986012456649
57	0.74225922010444	0.51548155979112	0.25774077989556
58	0.72489571317982	0.55020857364036	0.27510428682018
59	0.68999280455294	0.620014390894121	0.310007195447061
60	0.711075847330128	0.577848305339744	0.288924152669872
61	0.681558700289772	0.636882599420457	0.318441299710228
62	0.642316873825447	0.715366252349106	0.357683126174553
63	0.606836650052808	0.786326699894384	0.393163349947192
64	0.560987546092004	0.878024907815991	0.439012453907996
65	0.525387934160539	0.949224131678922	0.474612065839461
66	0.503148224747966	0.993703550504068	0.496851775252034
67	0.51257291268196	0.97485417463608	0.48742708731804
68	0.647454048932211	0.705091902135578	0.352545951067789
69	0.775111395293679	0.449777209412642	0.224888604706321
70	0.745644786812439	0.508710426375123	0.254355213187561
71	0.848639960556729	0.302720078886543	0.151360039443271
72	0.820382261255012	0.359235477489976	0.179617738744988
73	0.816040831659221	0.367918336681557	0.183959168340779
74	0.798102774145849	0.403794451708303	0.201897225854152
75	0.764555276150572	0.470889447698857	0.235444723849428
76	0.827537796170085	0.34492440765983	0.172462203829915
77	0.796022121102108	0.407955757795785	0.203977878897892
78	0.784138720534125	0.431722558931749	0.215861279465874
79	0.798478097575164	0.403043804849673	0.201521902424837
80	0.763849928684408	0.472300142631185	0.236150071315592
81	0.729664858177286	0.540670283645428	0.270335141822714
82	0.692324250923123	0.615351498153753	0.307675749076877
83	0.660707654288308	0.678584691423383	0.339292345711692
84	0.618305264966007	0.763389470067986	0.381694735033993
85	0.606776289149359	0.786447421701281	0.393223710850641
86	0.562383114381968	0.875233771236064	0.437616885618032
87	0.520599409590852	0.958801180818295	0.479400590409148
88	0.503263817807186	0.993472364385628	0.496736182192814
89	0.466756394710036	0.933512789420073	0.533243605289964
90	0.46267979068918	0.925359581378361	0.53732020931082
91	0.421729886697471	0.843459773394942	0.578270113302529
92	0.381178634444245	0.762357268888491	0.618821365555755
93	0.339237930072573	0.678475860145147	0.660762069927427
94	0.368475773747723	0.736951547495447	0.631524226252277
95	0.334824113986198	0.669648227972395	0.665175886013802
96	0.294740898298473	0.589481796596947	0.705259101701527
97	0.291385718088359	0.582771436176719	0.708614281911641
98	0.251438901231778	0.502877802463557	0.748561098768222
99	0.221437962076927	0.442875924153854	0.778562037923073
100	0.199955157543772	0.399910315087545	0.800044842456228
101	0.18453370561411	0.36906741122822	0.81546629438589
102	0.238228657674194	0.476457315348387	0.761771342325806
103	0.202174873564225	0.404349747128451	0.797825126435775
104	0.199819028407503	0.399638056815005	0.800180971592497
105	0.211054309918574	0.422108619837148	0.788945690081426
106	0.193324768937078	0.386649537874155	0.806675231062922
107	0.175757680381281	0.351515360762563	0.824242319618719
108	0.176820514805539	0.353641029611077	0.823179485194461
109	0.176278674143335	0.35255734828667	0.823721325856665
110	0.162907330755202	0.325814661510404	0.837092669244798
111	0.141737104360521	0.283474208721041	0.858262895639479
112	0.185188619473362	0.370377238946723	0.814811380526638
113	0.156565656461329	0.313131312922658	0.843434343538671
114	0.181883489249599	0.363766978499198	0.818116510750401
115	0.194874987999513	0.389749975999026	0.805125012000487
116	0.166751932682409	0.333503865364819	0.833248067317591
117	0.162611990674067	0.325223981348134	0.837388009325933
118	0.159322442981646	0.318644885963293	0.840677557018354
119	0.187660976508643	0.375321953017286	0.812339023491357
120	0.15613860966468	0.31227721932936	0.84386139033532
121	0.144151410756652	0.288302821513304	0.855848589243348
122	0.147589336390919	0.295178672781839	0.852410663609081
123	0.119900230733085	0.239800461466171	0.880099769266915
124	0.098082777107954	0.196165554215908	0.901917222892046
125	0.0765357111850892	0.153071422370178	0.923464288814911
126	0.0577806417585067	0.115561283517013	0.942219358241493
127	0.0621162450500591	0.124232490100118	0.937883754949941
128	0.060725970110088	0.121451940220176	0.939274029889912
129	0.0645541921705028	0.129108384341006	0.935445807829497
130	0.0710093333190546	0.142018666638109	0.928990666680945
131	0.0855139368040101	0.17102787360802	0.91448606319599
132	0.171858328229427	0.343716656458854	0.828141671770573
133	0.192076586293087	0.384153172586173	0.807923413706913
134	0.15464411458368	0.309288229167359	0.84535588541632
135	0.124396814872271	0.248793629744542	0.875603185127729
136	0.102264774165796	0.204529548331593	0.897735225834204
137	0.0905527103041977	0.181105420608395	0.909447289695802
138	0.120868831386281	0.241737662772563	0.879131168613719
139	0.0993836878588568	0.198767375717714	0.900616312141143
140	0.234103606588175	0.46820721317635	0.765896393411825
141	0.202772449137242	0.405544898274485	0.797227550862758
142	0.180663354154358	0.361326708308716	0.819336645845642
143	0.129239626689784	0.258479253379568	0.870760373310216
144	0.09964808159627	0.19929616319254	0.90035191840373
145	0.136423841018582	0.272847682037163	0.863576158981418
146	0.234908632688858	0.469817265377716	0.765091367311142
147	0.5399988745901	0.920002250819801	0.4600011254099
148	0.412519284392445	0.825038568784889	0.587480715607555
149	0.303658950440257	0.607317900880514	0.696341049559743
150	0.744192129621906	0.511615740756189	0.255807870378095

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	0	0	OK