Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 6.03740337916086 -0.00409234584985734t + 0.107298238771915Connected[t] -0.0179858507377761Separate[t] + 0.533733913871115Software[t] + 0.0559016695036461Happiness[t] -0.0698967166353528Depression[t] + 0.0051268370936719Belonging[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)	6.03740337916086	2.582313	2.338	0.020674	0.010337
t	-0.00409234584985734	0.003249	-1.2597	0.2097	0.10485
Connected	0.107298238771915	0.047155	2.2755	0.024258	0.012129
Separate	-0.0179858507377761	0.044755	-0.4019	0.688333	0.344167
Software	0.533733913871115	0.069284	7.7035	0	0
Happiness	0.0559016695036461	0.076258	0.7331	0.464636	0.232318
Depression	-0.0698967166353528	0.056017	-1.2478	0.214004	0.107002
Belonging	0.0051268370936719	0.014678	0.3493	0.72736	0.36368

Multiple Linear Regression - Regression Statistics
Multiple R	0.600427258109706
R-squared	0.360512892281139
Adjusted R-squared	0.331445296475736
F-TEST (value)	12.4025700197101
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	1.53166368477287e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84483623221262
Sum Squared Residuals	524.126791447404

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3694686007688	-3.36946860076883
2	16	16.1876499866718	-0.187649986671771
3	19	16.5953130168408	2.4046869831592
4	15	12.1317073262664	2.86829267373361
5	14	15.7543814530184	-1.75438145301844
6	13	15.1513998731422	-2.15139987314217
7	19	15.5572518369367	3.44274816306326
8	15	16.9014953557987	-1.90149535579868
9	14	16.1575548740652	-2.15755487406516
10	15	12.8049632558285	2.19503674417151
11	16	15.5058797595938	0.494120240406196
12	16	16.4241270566652	-0.424127056665221
13	16	15.6909021778589	0.309097822141133
14	16	15.545074456136	0.454925543864025
15	17	17.6106900135167	-0.610690013516745
16	15	15.3181692699603	-0.31816926996025
17	15	14.780944132786	0.219055867213982
18	20	16.3950450284303	3.6049549715697
19	18	15.7436646253575	2.25633537464247
20	16	15.4963589558476	0.50364104415243
21	16	15.5178720180513	0.482127981948723
22	16	15.1058520199905	0.894147980009475
23	19	16.6037012654929	2.3962987345071
24	16	15.0582156655286	0.941784334471444
25	17	14.9701565348792	2.02984346512082
26	17	16.9774153767371	0.0225846232628857
27	16	15.0126834480811	0.987316551918861
28	15	16.35838227472	-1.35838227472004
29	16	15.5307054240611	0.469294575938897
30	14	14.3563383198313	-0.356338319831307
31	15	15.8134924353742	-0.813492435374194
32	12	12.4529450032426	-0.452945003242588
33	14	15.2675352153757	-1.26753521537565
34	16	15.7860497031007	0.213950296899284
35	14	15.6608948387042	-1.66089483870422
36	7	13.1654853046447	-6.16548530464467
37	10	11.0706490471844	-1.07064904718437
38	14	15.9196746013431	-1.91967460134313
39	16	14.4102294155696	1.58977058443045
40	16	14.7544602632053	1.24553973679466
41	16	15.1902844867481	0.809715513251905
42	14	15.6253243250075	-1.6253243250075
43	20	17.9813292474414	2.01867075255857
44	14	14.3154461131684	-0.315446113168434
45	14	15.0200241178217	-1.02002411782168
46	11	15.6493784659097	-4.64937846590968
47	14	16.7021879030267	-2.70218790302673
48	15	15.09554072693	-0.0955407269299649
49	16	15.168489329817	0.831510670183044
50	14	16.0817495054292	-2.0817495054292
51	16	16.6156416641287	-0.615641664128704
52	14	14.2034760776795	-0.203476077679531
53	12	14.7450947839315	-2.74509478393154
54	16	15.7297652747591	0.270234725240869
55	9	11.5639372318229	-2.56393723182291
56	14	12.7945271677971	1.20547283220294
57	16	16.1472143599231	-0.14721435992312
58	16	15.2579369637362	0.742063036263821
59	15	15.3356842101307	-0.33568421013071
60	16	14.2543690798837	1.74563092011632
61	12	11.5602524112038	0.439747588796209
62	16	15.9370266113073	0.0629733886926509
63	16	16.441419948367	-0.441419948366996
64	14	14.4139717924865	-0.413971792486484
65	16	15.4735035401009	0.526496459899067
66	17	15.9961110926554	1.00388890734461
67	18	16.2337682513042	1.76623174869576
68	18	14.5698446494479	3.43015535055213
69	12	15.8778942277641	-3.87789422776414
70	16	15.4594307849666	0.54056921503337
71	10	13.6640247236302	-3.66402472363019
72	14	14.3794357700336	-0.37943577003358
73	18	16.5027703966712	1.49722960332876
74	18	17.0400674092155	0.959932590784518
75	16	15.686318691627	0.313681308372965
76	17	13.9279754948489	3.07202450515108
77	16	16.3659416481689	-0.36594164816889
78	16	14.572081481038	1.42791851896195
79	13	14.8903385187259	-1.8903385187259
80	16	15.973739999154	0.0262600008459603
81	16	15.4787628746549	0.521237125345076
82	20	15.7424751509662	4.25752484903375
83	16	15.7659675462826	0.234032453717408
84	15	15.9048802747126	-0.9048802747126
85	15	14.751548463797	0.24845153620304
86	16	14.2748137943906	1.72518620560941
87	14	14.1752399179433	-0.175239917943284
88	16	15.3090213981058	0.690978601894244
89	16	14.569213422829	1.43078657717099
90	15	14.2336705413584	0.76632945864156
91	12	13.5632900801737	-1.56329008017373
92	17	16.9092257982962	0.0907742017038137
93	16	15.4042748408535	0.595725159146466
94	15	15.142042920973	-0.142042920973031
95	13	15.0634123968177	-2.06341239681765
96	16	15.0547277983936	0.945272201606362
97	16	15.8257410981293	0.174258901870665
98	16	14.0514884782294	1.94851152177061
99	16	15.9923223191153	0.00767768088466257
100	14	14.2807584423478	-0.280758442347825
101	16	17.1671945236212	-1.16719452362121
102	16	14.7583188895125	1.2416811104875
103	20	17.3106078485797	2.6893921514203
104	15	14.5972380131351	0.402761986864935
105	16	14.4433715249971	1.55662847500286
106	13	15.2485063446279	-2.24850634462791
107	17	15.9673600853786	1.03263991462139
108	16	15.7821996147446	0.217800385255376
109	16	14.4830577026399	1.51694229736012
110	12	12.299131271077	-0.299131271076982
111	16	14.875759845694	1.12424015430603
112	16	15.7299013256967	0.270098674303278
113	17	14.5511845959633	2.44881540403667
114	13	14.2109520042943	-1.21095200429432
115	12	14.8197477251753	-2.81974772517532
116	18	16.5320872876145	1.4679127123855
117	14	15.3994661882286	-1.39946618822857
118	14	12.9859286219292	1.01407137807085
119	13	14.8401290620573	-1.84012906205735
120	16	15.5765592523554	0.423440747644607
121	13	14.1878864736576	-1.18788647365759
122	16	15.5110144570873	0.488985542912676
123	13	15.8406863615439	-2.84068636154388
124	16	16.9577907230904	-0.957790723090437
125	15	15.8916018022592	-0.891601802259165
126	16	16.6233667886869	-0.623366788686898
127	15	15.3166686703456	-0.316668670345588
128	17	16.0350776502925	0.96492234970747
129	15	13.9149888844504	1.08501111554965
130	12	14.8373767509715	-2.83737675097155
131	16	14.0005190321046	1.99948096789543
132	10	13.2406421825748	-3.24064218257483
133	16	13.9237700980915	2.07622990190849
134	12	13.8408977166837	-1.84089771668372
135	14	15.555466550271	-1.55546655027102
136	15	15.1338786001839	-0.133878600183892
137	13	12.1731622769382	0.826837723061756
138	15	14.4894281239432	0.510571876056825
139	11	13.1687689335099	-2.16876893350985
140	12	13.2760444366432	-1.27604443664318
141	8	13.2024413286647	-5.20244132866472
142	16	12.9645933743264	3.03540662567364
143	15	13.2097583805762	1.79024161942382
144	17	16.428327435666	0.571672564334005
145	16	14.6221880176175	1.3778119823825
146	10	14.0260117044624	-4.02601170446238
147	18	15.7676008218908	2.2323991781092
148	13	15.0656604029652	-2.06566040296517
149	16	14.994902014896	1.00509798510404
150	13	12.9563843772296	0.0436156227703757
151	10	13.0229287128859	-3.0229287128859
152	15	16.1384548925762	-1.13845489257621
153	16	13.8089191751732	2.19108082482681
154	16	11.8647674849171	4.13523251508285
155	14	12.345709684259	1.65429031574102
156	10	12.5206233415716	-2.52062334157161
157	17	16.6432233180555	0.35677668194454
158	13	11.5191044811331	1.4808955188669
159	15	13.7922185089546	1.20778149104537
160	16	14.8545995600999	1.14540043990013
161	12	12.2957793236577	-0.295779323657688
162	13	12.6070901509832	0.392909849016844

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.448606659253497	0.897213318506994	0.551393340746503
12	0.855550073645398	0.288899852709204	0.144449926354602
13	0.82706995851381	0.345860082972379	0.17293004148619
14	0.747181323602622	0.505637352794757	0.252818676397378
15	0.697855871004461	0.604288257991078	0.302144128995539
16	0.733841434245052	0.532317131509897	0.266158565754948
17	0.672504657828269	0.654990684343463	0.327495342171731
18	0.870197771119971	0.259604457760058	0.129802228880029
19	0.843713119012601	0.312573761974797	0.156286880987399
20	0.7930234334576	0.4139531330848	0.2069765665424
21	0.729740272602771	0.540519454794458	0.270259727397229
22	0.690136869404652	0.619726261190697	0.309863130595348
23	0.656977155972032	0.686045688055936	0.343022844027968
24	0.633211049926112	0.733577900147775	0.366788950073888
25	0.576020540553133	0.847958918893735	0.423979459446867
26	0.527261591819017	0.945476816361966	0.472738408180983
27	0.476734130216175	0.953468260432351	0.523265869783825
28	0.526866138610141	0.946267722779718	0.473133861389859
29	0.468353336739431	0.936706673478863	0.531646663260569
30	0.481841983415341	0.963683966830682	0.518158016584659
31	0.428094315430624	0.856188630861249	0.571905684569376
32	0.426022699229444	0.852045398458888	0.573977300770556
33	0.412443325302235	0.824886650604469	0.587556674697765
34	0.354490608964027	0.708981217928054	0.645509391035973
35	0.339772083873065	0.679544167746129	0.660227916126935
36	0.838931991453266	0.322136017093467	0.161068008546734
37	0.822002238875568	0.355995522248864	0.177997761124432
38	0.805903522894711	0.388192954210578	0.194096477105289
39	0.837921769131752	0.324156461736496	0.162078230868248
40	0.824655696169974	0.350688607660051	0.175344303830026
41	0.798473560392715	0.403052879214569	0.201526439607285
42	0.777092207352257	0.445815585295487	0.222907792647743
43	0.796314352414148	0.407371295171703	0.203685647585852
44	0.758384196617787	0.483231606764425	0.241615803382213
45	0.725924171604764	0.548151656790471	0.274075828395236
46	0.883278516653137	0.233442966693727	0.116721483346864
47	0.891751862474325	0.216496275051349	0.108248137525675
48	0.870667029831765	0.258665940336471	0.129332970168235
49	0.856171984974467	0.287656030051067	0.143828015025533
50	0.849335162848114	0.301329674303773	0.150664837151886
51	0.821123627425526	0.357752745148947	0.178876372574474
52	0.789481401438124	0.421037197123752	0.210518598561876
53	0.804784497295533	0.390431005408935	0.195215502704467
54	0.778274502793313	0.443450994413375	0.221725497206687
55	0.798781239387772	0.402437521224455	0.201218760612228
56	0.789151974440204	0.421696051119592	0.210848025559796
57	0.753683169620697	0.492633660758605	0.246316830379303
58	0.742065411701263	0.515869176597473	0.257934588298737
59	0.707248685239666	0.585502629520669	0.292751314760334
60	0.71447751641547	0.571044967169059	0.28552248358453
61	0.679893940941719	0.640212118116563	0.320106059058281
62	0.639003551022109	0.721992897955783	0.360996448977891
63	0.599311315525414	0.801377368949171	0.400688684474586
64	0.55585460222584	0.88829079554832	0.44414539777416
65	0.517942446756185	0.96411510648763	0.482057553243815
66	0.492671180139351	0.985342360278702	0.507328819860649
67	0.48729993364096	0.97459986728192	0.51270006635904
68	0.606620332478139	0.786759335043723	0.393379667521861
69	0.733028751511164	0.533942496977671	0.266971248488836
70	0.699284882520648	0.601430234958704	0.300715117479352
71	0.803172448339768	0.393655103320464	0.196827551660232
72	0.773672707791842	0.452654584416316	0.226327292208158
73	0.765245911939038	0.469508176121924	0.234754088060962
74	0.742899981259116	0.514200037481768	0.257100018740884
75	0.70422411154639	0.591551776907221	0.29577588845361
76	0.753906438659808	0.492187122680384	0.246093561340192
77	0.717061766914126	0.565876466171748	0.282938233085874
78	0.695706057247093	0.608587885505814	0.304293942752907
79	0.701998907081751	0.596002185836497	0.298001092918249
80	0.663105258142988	0.673789483714024	0.336894741857012
81	0.623913837692935	0.75217232461413	0.376086162307065
82	0.786749801985176	0.426500396029648	0.213250198014824
83	0.752031539826461	0.495936920347078	0.247968460173539
84	0.724730125628837	0.550539748742326	0.275269874371163
85	0.685012932585661	0.629974134828678	0.314987067414339
86	0.671111695847255	0.657776608305491	0.328888304152745
87	0.628638262758807	0.742723474482385	0.371361737241193
88	0.587107899570736	0.825784200858528	0.412892100429264
89	0.564063647716731	0.871872704566539	0.435936352283269
90	0.526233151357796	0.947533697284408	0.473766848642204
91	0.516609590130066	0.966780819739868	0.483390409869934
92	0.476084039890369	0.952168079780737	0.523915960109631
93	0.433218028680365	0.86643605736073	0.566781971319635
94	0.388078987540821	0.776157975081642	0.611921012459179
95	0.414131208570829	0.828262417141657	0.585868791429171
96	0.376153903196576	0.752307806393153	0.623846096803424
97	0.333975605398641	0.667951210797282	0.666024394601359
98	0.326435005620823	0.652870011241646	0.673564994379177
99	0.28427335800057	0.56854671600114	0.71572664199943
100	0.249807688279531	0.499615376559062	0.750192311720469
101	0.227007583644104	0.454015167288208	0.772992416355896
102	0.206940842210577	0.413881684421153	0.793059157789423
103	0.24953917215747	0.499078344314939	0.75046082784253
104	0.212726273761073	0.425452547522146	0.787273726238927
105	0.205812233853218	0.411624467706436	0.794187766146782
106	0.217021484148726	0.434042968297452	0.782978515851274
107	0.195296926981037	0.390593853962074	0.804703073018963
108	0.173929252900555	0.34785850580111	0.826070747099445
109	0.169381260791482	0.338762521582964	0.830618739208518
110	0.16591584161248	0.331831683224961	0.834084158387519
111	0.152370898959542	0.304741797919084	0.847629101040458
112	0.131408392264847	0.262816784529694	0.868591607735153
113	0.172867789925718	0.345735579851437	0.827132210074282
114	0.148592635309331	0.297185270618662	0.851407364690669
115	0.16826740498525	0.3365348099705	0.83173259501475
116	0.172174089371971	0.344348178743943	0.827825910628029
117	0.147676827610966	0.295353655221931	0.852323172389034
118	0.145307541886141	0.290615083772282	0.854692458113859
119	0.135165543742299	0.270331087484599	0.864834456257701
120	0.15134918537626	0.30269837075252	0.84865081462374
121	0.125144004735325	0.25028800947065	0.874855995264675
122	0.111654192516063	0.223308385032127	0.888345807483937
123	0.107562864970528	0.215125729941055	0.892437135029473
124	0.0851480715065938	0.170296143013188	0.914851928493406
125	0.0666218789420004	0.133243757884001	0.933378121058
126	0.0509034631611371	0.101806926322274	0.949096536838863
127	0.0375193554998936	0.0750387109997872	0.962480644500106
128	0.0383048749577892	0.0766097499155785	0.961695125042211
129	0.0372650224890939	0.0745300449781877	0.962734977510906
130	0.036964405893303	0.0739288117866061	0.963035594106697
131	0.0424192403319904	0.0848384806639808	0.95758075966801
132	0.0438296641795174	0.0876593283590347	0.956170335820483
133	0.0972701149195412	0.194540229839082	0.902729885080459
134	0.0982612509775529	0.196522501955106	0.901738749022447
135	0.0774932877623652	0.15498657552473	0.922506712237635
136	0.0596636730861256	0.119327346172251	0.940336326913874
137	0.0462019118135709	0.0924038236271417	0.953798088186429
138	0.0423360040243073	0.0846720080486147	0.957663995975693
139	0.0413838463988483	0.0827676927976965	0.958616153601152
140	0.0288538583697962	0.0577077167395925	0.971146141630204
141	0.444038755673116	0.888077511346232	0.555961244326884
142	0.390892595210058	0.781785190420116	0.609107404789942
143	0.346484450972132	0.692968901944265	0.653515549027868
144	0.275204138812433	0.550408277624866	0.724795861187567
145	0.226914000162512	0.453828000325025	0.773085999837488
146	0.222667352080762	0.445334704161525	0.777332647919238
147	0.332675538071404	0.665351076142809	0.667324461928596
148	0.704723902442872	0.590552195114255	0.295276097557128
149	0.609482616924484	0.781034766151032	0.390517383075516
150	0.467285794182421	0.934571588364842	0.532714205817579
151	0.705902244309352	0.588195511381295	0.294097755690648

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	10	0.0709219858156028	OK