Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.84193985565273 + 0.115557843089715Connected[t] -0.0240820190849224Separate[t] + 0.545468871332887Software[t] + 0.0641530463219263Happiness[t] -0.077578587192158Depression[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)	5.84193985565273	2.383046	2.4515	0.015331	0.007666
Connected	0.115557843089715	0.046571	2.4813	0.014151	0.007075
Separate	-0.0240820190849224	0.044292	-0.5437	0.587418	0.293709
Software	0.545468871332887	0.068568	7.9552	0	0
Happiness	0.0641530463219263	0.074794	0.8577	0.392358	0.196179
Depression	-0.077578587192158	0.055104	-1.4079	0.161163	0.080581

Multiple Linear Regression - Regression Statistics
Multiple R	0.594884268267061
R-squared	0.353887292631636
Adjusted R-squared	0.333178552010855
F-TEST (value)	17.0887886961371
F-TEST (DF numerator)	5
F-TEST (DF denominator)	156
p-value	1.84963155902551e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84244327338335
Sum Squared Residuals	529.557165639147

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.1775207552997	-3.17752075529972
2	16	15.8796190847768	0.12038091522322
3	19	16.2674208392162	2.73257916078383
4	15	11.741233099186	3.25876690081401
5	14	15.3682655520039	-1.36826555200394
6	13	14.8665863111476	-1.86658631114764
7	19	15.3391933307931	3.66080666920685
8	15	16.5852962216995	-1.58529622169947
9	14	15.8912878178121	-1.89128781781213
10	15	12.4290506140733	2.57094938592672
11	16	15.2560999303093	0.743900069690669
12	16	16.3271391965691	-0.327139196569078
13	16	15.4137453364211	0.586254663578858
14	16	15.3740851160469	0.625914883953083
15	17	17.3253160033376	-0.325316003337587
16	15	15.1027530885326	-0.102753088532562
17	15	14.4981287373106	0.501871262689432
18	20	16.1008849521885	3.89911504781151
19	18	15.5560933721717	2.4439066278283
20	16	15.3327197874535	0.667280212546505
21	16	15.3569465128325	0.643053487167514
22	16	14.8429001446469	1.15709985535309
23	19	16.4918739404532	2.50812605954684
24	16	14.8622752254949	1.13772477450514
25	17	14.7245282957891	2.27547170421092
26	17	16.779452271109	0.220547728891038
27	16	14.7869245342761	1.21307546572387
28	15	16.1353420107562	-1.1353420107562
29	16	15.2824639779442	0.717536022055797
30	14	14.1280504802726	-0.128050480272596
31	15	15.6238043694721	-0.623804369472103
32	12	12.2254387733233	-0.225438773323278
33	14	15.1405420872196	-1.14054208721962
34	16	15.5344295062707	0.465570493729298
35	14	15.4836934191589	-1.48369341915892
36	7	12.9691863476649	-5.96918634766493
37	10	10.7451936146734	-0.74519361467336
38	14	15.7842946815977	-1.78429468159766
39	16	14.2160793425019	1.7839206574981
40	16	14.6046501775826	1.39534982241736
41	16	15.065732562683	0.934267437317001
42	14	15.4621748673558	-1.46217486735584
43	20	18.0503663959512	1.94963360404877
44	14	14.2301827824921	-0.230182782492079
45	14	14.9300021687623	-0.930002168762309
46	11	15.5174977140377	-4.51749771403767
47	14	16.6491228861769	-2.64912288617692
48	15	14.9456488491029	0.0543511508971324
49	16	15.0139860459075	0.986013954092458
50	14	15.9887648814103	-1.98876488141032
51	16	16.5119011771862	-0.51190117718621
52	14	14.0840614031216	-0.0840614031215548
53	12	14.5999796007982	-2.59997960079815
54	16	15.6306214579764	0.369378542023586
55	9	11.4129826772199	-2.41298267721989
56	14	12.651121315775	1.34887868422502
57	16	16.0934606509117	-0.0934606509116523
58	16	15.1840435224612	0.815956477538787
59	15	15.2448356315183	-0.24483563151826
60	16	14.128522176215	1.871477823785
61	12	11.4143133400288	0.585686659971197
62	16	15.8630222560483	0.136977743951683
63	16	16.3393405146265	-0.339340514626459
64	14	14.3935623359401	-0.393562335940116
65	16	15.5237644463959	0.47623555360408
66	17	15.8746909890837	1.12530901091633
67	18	16.1825632648451	1.8174367351549
68	18	14.4975117272702	3.50248827272976
69	12	15.8848154900802	-3.88481549008019
70	16	15.4172515877839	0.582748412216057
71	10	13.6195571916767	-3.61955719167669
72	14	14.372043784137	-0.372043784137043
73	18	16.4220460363823	1.57795396361768
74	18	17.0688491321478	0.931150867852196
75	16	15.6469436044761	0.353056395523927
76	17	13.831298404812	3.16870159518797
77	16	16.3997208251323	-0.39972082513227
78	16	14.5396751336505	1.46032486634945
79	13	14.8304173878576	-1.83041738785763
80	16	16.1487743081295	-0.148774308129534
81	16	15.4429536822659	0.55704631773409
82	20	15.998752649969	4.00124735003099
83	16	15.8051445237447	0.194855476255267
84	15	15.9640055710093	-0.964005571009304
85	15	14.752512418821	0.247487581179005
86	16	14.2531158143185	1.74688418568149
87	14	14.1569330520767	-0.156933052076737
88	16	15.3493860869217	0.65061391307833
89	16	14.6384299448343	1.36157005516574
90	15	14.1486109098315	0.851389090168471
91	12	13.5485803003474	-1.54858030034736
92	17	17.0837414604609	-0.0837414604609213
93	16	15.3985020986364	0.601497901363589
94	15	15.145584596765	-0.145584596765016
95	13	15.0744869189649	-2.07448691896489
96	16	15.1095160444603	0.89048395553965
97	16	15.894383870116	0.105616129883991
98	16	14.0939198035494	1.90608019645064
99	16	16.0816551854385	-0.0816551854384656
100	14	14.3140366837026	-0.314036683702579
101	16	17.3175653202163	-1.31756532021627
102	16	14.8034461274502	1.19655387254977
103	20	17.3885262655786	2.61147373442144
104	15	14.717970935235	0.282029064765018
105	16	14.4373458177175	1.56265418228253
106	13	15.3426396847648	-2.34263968476478
107	17	16.1089779631213	0.891022036878669
108	16	15.9072774337681	0.092722566231931
109	16	14.6371607789088	1.36283922109117
110	12	12.3974087768814	-0.397408776881397
111	16	14.9117084295901	1.08829157040986
112	16	15.8080952619507	0.191904738049314
113	17	14.5332107797748	2.46678922022516
114	13	14.4797056300075	-1.47970563000752
115	12	14.9772919019025	-2.97729190190246
116	18	16.6887136358114	1.31128636418857
117	14	15.5952056693607	-1.59520566936071
118	14	13.0609977429781	0.939002257021857
119	13	15.0125709580803	-2.01257095808033
120	16	15.6462755026239	0.353724497376076
121	13	14.3706293041137	-1.37062930411369
122	16	15.6771562312853	0.32284376871473
123	13	15.9484968404597	-2.94849684045972
124	16	17.1806945206972	-1.18069452069717
125	15	16.1088326490234	-1.10883264902341
126	16	16.7921845746961	-0.792184574696058
127	15	15.5027329286984	-0.502732928698439
128	17	16.3022597075011	0.697740292498874
129	15	14.063159253555	0.936840746445047
130	12	15.0456893799829	-3.0456893799829
131	16	14.1803980611213	1.81960193887866
132	10	13.3328981091632	-3.33289810916316
133	16	14.1234796666696	1.8765203333304
134	12	14.0383155181356	-2.03831551813564
135	14	15.7794424292628	-1.77944242926277
136	15	15.3273872575161	-0.327387257516104
137	13	12.378350888414	0.621649111586012
138	15	14.7402358652093	0.259764134790741
139	11	13.3849193081674	-2.38491930816742
140	12	13.5403579212836	-1.54035792128363
141	8	13.3936287213367	-5.39362872133673
142	16	13.2712629792066	2.72873702079335
143	15	13.3394548619134	1.6605451380866
144	17	16.6150371525663	0.384962847433733
145	16	14.9018567856654	1.09814321433457
146	10	14.2545462403089	-4.2545462403089
147	18	16.0761773414032	1.92382265859685
148	13	15.377857851863	-2.37785785186303
149	16	15.255346795635	0.744653204364971
150	13	13.1284438553175	-0.128443855317545
151	10	13.207726942925	-3.20772694292505
152	15	16.4105835065245	-1.4105835065245
153	16	14.0932510938934	1.90674890610664
154	16	12.0589723570353	3.94102764296469
155	14	12.5348109458148	1.46518905418519
156	10	12.71013208937	-2.71013208937001
157	17	17.0837414604609	-0.0837414604609213
158	13	11.7336117841955	1.26638821580445
159	15	14.063159253555	0.936840746445047
160	16	15.1362218121029	0.863778187897109
161	12	12.4340931236187	-0.434093123618684
162	13	12.8604370114194	0.139562988580568

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.604335158989019	0.791329682021963	0.395664841010981
10	0.766704941665142	0.466590116669716	0.233295058334858
11	0.704776478138241	0.590447043723518	0.295223521861759
12	0.784245849302312	0.431508301395376	0.215754150697688
13	0.715280331814201	0.569439336371598	0.284719668185799
14	0.683792808996717	0.632414382006566	0.316207191003283
15	0.664758280780373	0.670483438439254	0.335241719219627
16	0.613289587753619	0.773420824492763	0.386710412246381
17	0.534991611690864	0.930016776618272	0.465008388309136
18	0.85842391982155	0.2831521603569	0.14157608017845
19	0.863105487771357	0.273789024457286	0.136894512228643
20	0.817682477562126	0.364635044875748	0.182317522437874
21	0.769446279650509	0.461107440698981	0.230553720349491
22	0.71162261409718	0.57675477180564	0.28837738590282
23	0.731711771751793	0.536576456496413	0.268288228248207
24	0.678321520652865	0.64335695869427	0.321678479347135
25	0.667299654652396	0.665400690695208	0.332700345347604
26	0.605172872814184	0.789654254371632	0.394827127185816
27	0.545418747844167	0.909162504311665	0.454581252155833
28	0.520232445851841	0.959535108296318	0.479767554148159
29	0.457064775712427	0.914129551424855	0.542935224287573
30	0.436262999813296	0.872525999626592	0.563737000186704
31	0.377961331883921	0.755922663767841	0.62203866811608
32	0.364153433938256	0.728306867876512	0.635846566061744
33	0.344499943985551	0.688999887971103	0.655500056014448
34	0.290708564883823	0.581417129767646	0.709291435116177
35	0.275565138350346	0.551130276700693	0.724434861649654
36	0.812317866060129	0.375364267879743	0.187682133939871
37	0.800139464687951	0.399721070624098	0.199860535312049
38	0.799334014808029	0.401331970383941	0.200665985191971
39	0.820290836052935	0.359418327894131	0.179709163947065
40	0.800175268386495	0.39964946322701	0.199824731613505
41	0.768850929212479	0.462298141575043	0.231149070787521
42	0.754372752871417	0.491254494257165	0.245627247128582
43	0.760176295167154	0.479647409665692	0.239823704832846
44	0.72254517494802	0.55490965010396	0.27745482505198
45	0.692098028576776	0.615803942846449	0.307901971423224
46	0.885407670250287	0.229184659499426	0.114592329749713
47	0.910112459434231	0.179775081131537	0.0898875405657687
48	0.88776865285691	0.224462694286181	0.112231347143091
49	0.86636693568563	0.267266128628741	0.133633064314371
50	0.867915088679822	0.264169822640355	0.132084911320178
51	0.840686710743339	0.318626578513323	0.159313289256661
52	0.808590897184802	0.382818205630395	0.191409102815197
53	0.837087311459545	0.325825377080911	0.162912688540456
54	0.806139730318272	0.387720539363457	0.193860269681728
55	0.82561274261864	0.348774514762719	0.174387257381359
56	0.805629574653375	0.38874085069325	0.194370425346625
57	0.772187246307924	0.455625507384153	0.227812753692076
58	0.748530147975443	0.502939704049114	0.251469852024557
59	0.70966516786338	0.58066966427324	0.29033483213662
60	0.706106458880206	0.587787082239587	0.293893541119794
61	0.667792709932704	0.664414580134592	0.332207290067296
62	0.623349916675152	0.753300166649696	0.376650083324848
63	0.579063185647427	0.841873628705147	0.420936814352574
64	0.534185272677245	0.93162945464551	0.465814727322755
65	0.490683341606452	0.981366683212904	0.509316658393548
66	0.46203797950868	0.92407595901736	0.53796202049132
67	0.454440020124817	0.908880040249634	0.545559979875183
68	0.584406597590658	0.831186804818683	0.415593402409342
69	0.727405356984423	0.545189286031154	0.272594643015577
70	0.691063866529517	0.617872266940967	0.308936133470483
71	0.789993538777005	0.42001292244599	0.210006461222995
72	0.755691131017076	0.488617737965848	0.244308868982924
73	0.74667353693201	0.506652926135979	0.253326463067989
74	0.720014332507078	0.559971334985845	0.279985667492922
75	0.680369802948817	0.639260394102366	0.319630197051183
76	0.747526334419548	0.504947331160904	0.252473665580452
77	0.710908741766088	0.578182516467823	0.289091258233912
78	0.695778113302371	0.608443773395257	0.304221886697628
79	0.695861845529993	0.608276308940013	0.304138154470007
80	0.655065786150689	0.689868427698623	0.344934213849311
81	0.616070188215452	0.767859623569096	0.383929811784548
82	0.767626608085543	0.464746783828915	0.232373391914458
83	0.731406747908048	0.537186504183903	0.268593252091952
84	0.702285597070758	0.595428805858484	0.297714402929242
85	0.661634084489031	0.676731831021938	0.338365915510969
86	0.657026797499272	0.685946405001457	0.342973202500728
87	0.613503414344051	0.772993171311899	0.386496585655949
88	0.574148130909371	0.851703738181258	0.425851869090629
89	0.552980235488381	0.894039529023237	0.447019764511619
90	0.524009650042483	0.951980699915035	0.475990349957517
91	0.509451785418537	0.981096429162926	0.490548214581463
92	0.468526595295512	0.937053190591024	0.531473404704488
93	0.427942517230267	0.855885034460533	0.572057482769733
94	0.385017209222577	0.770034418445154	0.614982790777423
95	0.39595929072735	0.7919185814547	0.60404070927265
96	0.362657712454782	0.725315424909564	0.637342287545218
97	0.324431815284	0.648863630567999	0.675568184716
98	0.327093900181915	0.65418780036383	0.672906099818085
99	0.28602554578104	0.57205109156208	0.71397445421896
100	0.24903535710008	0.49807071420016	0.75096464289992
101	0.22696001004371	0.45392002008742	0.77303998995629
102	0.212978643429818	0.425957286859636	0.787021356570182
103	0.263815733005778	0.527631466011556	0.736184266994222
104	0.22683073629756	0.45366147259512	0.77316926370244
105	0.224370142325168	0.448740284650337	0.775629857674832
106	0.236013271870969	0.472026543741939	0.76398672812903
107	0.214241232951017	0.428482465902035	0.785758767048983
108	0.192126295618627	0.384252591237253	0.807873704381373
109	0.182692383487063	0.365384766974126	0.817307616512937
110	0.168184073247555	0.336368146495109	0.831815926752445
111	0.153411357320324	0.306822714640649	0.846588642679676
112	0.130007378869429	0.260014757738858	0.869992621130571
113	0.157559231684557	0.315118463369114	0.842440768315443
114	0.140305396017981	0.280610792035961	0.85969460398202
115	0.175145347769693	0.350290695539385	0.824854652230307
116	0.16642837026391	0.332856740527821	0.83357162973609
117	0.145969599136793	0.291939198273586	0.854030400863207
118	0.127773433547336	0.255546867094672	0.872226566452664
119	0.131571423175479	0.263142846350959	0.86842857682452
120	0.119583202148051	0.239166404296103	0.880416797851949
121	0.100678551157197	0.201357102314395	0.899321448842803
122	0.081261530428789	0.162523060857578	0.918738469571211
123	0.09303037246262	0.18606074492524	0.90696962753738
124	0.076199528720486	0.152399057440972	0.923800471279514
125	0.0625304193386553	0.125060838677311	0.937469580661345
126	0.0486076377448902	0.0972152754897805	0.95139236225511
127	0.0377813712255537	0.0755627424511075	0.962218628774446
128	0.0320987504021065	0.064197500804213	0.967901249597893
129	0.0252982953510845	0.050596590702169	0.974701704648915
130	0.0337454280442469	0.0674908560884938	0.966254571955753
131	0.0294455632142782	0.0588911264285564	0.970554436785722
132	0.0439032768012766	0.0878065536025531	0.956096723198723
133	0.0495751652622746	0.0991503305245492	0.950424834737725
134	0.0624450901481448	0.12489018029629	0.937554909851855
135	0.0506452764620424	0.101290552924085	0.949354723537958
136	0.0364291834340242	0.0728583668680485	0.963570816565976
137	0.0257595670282786	0.0515191340565571	0.974240432971721
138	0.0177650437568512	0.0355300875137025	0.982234956243149
139	0.0278802719620979	0.0557605439241957	0.972119728037902
140	0.0220355959824215	0.044071191964843	0.977964404017578
141	0.484050765982804	0.968101531965608	0.515949234017196
142	0.460200944472	0.920401888944	0.539799055528
143	0.392506651916563	0.785013303833126	0.607493348083437
144	0.405195489688958	0.810390979377916	0.594804510311042
145	0.356077674066178	0.712155348132357	0.643922325933822
146	0.344099886750986	0.688199773501973	0.655900113249014
147	0.396127769809235	0.79225553961847	0.603872230190765
148	0.814777647295135	0.37044470540973	0.185222352704865
149	0.788964494543746	0.422071010912508	0.211035505456254
150	0.690574318340373	0.618851363319253	0.309425681659627
151	0.883683001822892	0.232633996354215	0.116316998177107
152	0.933625916364463	0.132748167271074	0.0663740836355371
153	0.90069498371077	0.198610032578461	0.0993050162892306

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	2	0.0137931034482759	OK
10% type I error level	13	0.0896551724137931	OK