Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 8.46131974364201 + 0.548818213339092Software[t] + 0.0710818062400159Hapiness[t] -0.0767771025235985Depression[t] + 0.0394093100647322Belonging[t] -0.0550446348229513`Belonging_Final\r`[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)	8.46131974364201	2.041277	4.1451	5.6e-05	2.8e-05
Software	0.548818213339092	0.069694	7.8747	0	0
Hapiness	0.0710818062400159	0.0765	0.9292	0.354237	0.177118
Depression	-0.0767771025235985	0.057031	-1.3462	0.180179	0.09009
Belonging	0.0394093100647322	0.044849	0.8787	0.380909	0.190455
`Belonging_Final\r`	-0.0550446348229513	0.06457	-0.8525	0.395252	0.197626

Multiple Linear Regression - Regression Statistics
Multiple R	0.575493673973176
R-squared	0.331192968783144
Adjusted R-squared	0.309756845987732
F-TEST (value)	15.4502272609685
F-TEST (DF numerator)	5
F-TEST (DF denominator)	156
p-value	2.48301379457416e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.87452138427473
Sum Squared Residuals	548.157545536107

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	15.4482234798846	-2.44822347988455
2	16	15.5151687645292	0.484831235470825
3	19	16.6897531787466	2.31024682125345
4	15	12.0694792148696	2.93052078513037
5	14	15.5840006269588	-1.58400062695878
6	13	14.7944775074404	-1.79447750744043
7	19	14.4052292805338	4.59477071946622
8	15	16.7509295888439	-1.7509295888439
9	14	15.7848747498327	-1.78487474983274
10	15	12.230363512711	2.76963648728904
11	16	14.8062699466664	1.19373005333355
12	16	16.0951055964208	-0.0951055964207731
13	16	14.9348489400304	1.0651510599696
14	16	14.87237934922	1.12762065077996
15	17	17.716538760828	-0.716538760827972
16	15	15.2715372858692	-0.271537285869178
17	15	14.3484574168849	0.65154258311512
18	20	15.9065898872889	4.09341011271114
19	18	14.9910601688981	3.00893983110188
20	16	15.4510686908081	0.548931309191924
21	16	15.5845373215584	0.41546267844156
22	16	15.0120278892128	0.987972110787158
23	19	15.9814063684654	3.01859363153461
24	16	14.4466922050976	1.55330779490236
25	17	14.291405896788	2.70859410321197
26	17	16.1103458189978	0.889654181002173
27	16	14.8704509166463	1.12954908335366
28	15	16.2855419421522	-1.28554194215221
29	16	15.6354035799973	0.364596420002724
30	14	13.9517592549935	0.0482407450064754
31	15	15.9490109796929	-0.949010979692943
32	12	12.9359021879591	-0.935902187959122
33	14	14.8212632750863	-0.821263275086295
34	16	15.6067890345499	0.393210965450097
35	14	15.6485955404908	-1.64859554049078
36	7	13.2022363990533	-6.20223639905325
37	10	11.3045582749937	-1.30455827499367
38	14	15.6231818842372	-1.62318188423725
39	16	14.8531759209411	1.1468240790589
40	16	14.5131620648197	1.48683793518028
41	16	14.7640154256782	1.23598457432184
42	14	15.643302090866	-1.64330209086605
43	20	17.528314817718	2.471685182282
44	14	14.0705045604373	-0.0705045604373259
45	14	14.3653031560561	-0.365303156056105
46	11	15.3089835310282	-4.30898353102824
47	14	16.1658755447587	-2.16587554475874
48	15	15.1436441092118	-0.143644109211832
49	16	15.1594685408245	0.840531459175457
50	14	15.6053433448938	-1.60534334489384
51	16	16.9298189974444	-0.929818997444428
52	14	14.3084061104818	-0.308406110481779
53	12	14.8931853725554	-2.89318537255545
54	16	15.2853827787577	0.714617221242347
55	9	11.71502403791	-2.71502403790996
56	14	12.3071406152346	1.69285938476544
57	16	15.625625248502	0.374374751498038
58	16	15.7509205863721	0.249079413627932
59	15	15.0934910773548	-0.0934910773547724
60	16	14.0425594212035	1.95744057879651
61	12	11.6634247555602	0.336575244439823
62	16	15.6073848624997	0.392615137500291
63	16	16.5628576766979	-0.562857676697861
64	14	14.7614863862564	-0.761486386256449
65	16	15.4268928588427	0.573107141157283
66	17	15.9177841505447	1.08221584945526
67	18	15.9106036578367	2.08939634216333
68	18	15.0500261419535	2.94997385804652
69	12	15.5063534753106	-3.50635347531055
70	16	15.4458536938835	0.55414630611646
71	10	13.0673682470354	-3.06736824703539
72	14	14.7956022466964	-0.795602246696444
73	18	16.7629111349244	1.2370888650756
74	18	16.960687800302	1.03931219969798
75	16	15.6848039613617	0.315196038638323
76	17	13.2504580894796	3.74954191052038
77	16	16.197977297468	-0.197977297468043
78	16	14.4144512908477	1.58554870915228
79	13	15.5626821028102	-2.56268210281024
80	16	15.5918376564571	0.40816234354292
81	16	15.8500995628099	0.149900437190147
82	20	16.5989554802573	3.40104451974265
83	16	15.7434239221621	0.256576077837857
84	15	15.7730823106067	-0.77308231060673
85	15	15.0587283461399	-0.0587283461399393
86	16	14.393963869892	1.60603613010796
87	14	13.9474981123094	0.0525018876905973
88	16	15.5283260926907	0.471673907309279
89	16	15.1311750413155	0.868824958684511
90	15	14.2473470990164	0.752652900983594
91	12	13.955798469837	-1.95579846983702
92	17	16.7776296813328	0.222370318667236
93	16	15.6177267376332	0.382273262366809
94	15	15.4800480070237	-0.480048007023736
95	13	15.7690777280952	-2.7690777280952
96	16	14.8079096176135	1.19209038238653
97	16	15.5728276486324	0.427172351367564
98	16	14.0931538064878	1.90684619351217
99	16	15.9609925257734	0.0390074742265541
100	14	14.7110123084611	-0.711012308461071
101	16	17.1034934091204	-1.10349340912042
102	16	14.5227391925673	1.47726080743272
103	20	17.3970469579942	2.60295304200577
104	15	14.724811632961	0.275188367039016
105	16	14.8623512020298	1.13764879797018
106	13	14.6511126685837	-1.65111266858367
107	17	15.7479088040327	1.25209119596728
108	16	15.3160734741429	0.683926525857144
109	16	14.3691114092563	1.63088859074365
110	12	11.3327040571386	0.667295942861408
111	16	15.5728622809644	0.4271377190356
112	16	16.2693430737558	-0.26934307375582
113	17	15.0183998141668	1.98160018583324
114	13	15.2338716392856	-2.23387163928563
115	12	14.715658887311	-2.71565888731097
116	18	16.437329411605	1.56267058839498
117	14	15.8278521634182	-1.82785216341819
118	14	13.1855961772296	0.814403822770415
119	13	15.2098391869224	-2.20983918692243
120	16	15.4100100437809	0.589989956219065
121	13	14.5112750217364	-1.51127502173638
122	16	15.9792767321439	0.0207232678560639
123	13	15.8038355848736	-2.80383558487356
124	16	17.0047947320417	-1.00479473204168
125	15	16.2175065505835	-1.2175065505835
126	16	17.2993459555241	-1.29934595552414
127	15	15.063058753488	-0.0630587534879887
128	17	15.4332647837966	1.56673521620337
129	15	14.1814783241214	0.818521675878554
130	12	14.9819512436163	-2.98195124361634
131	16	14.5152035824256	1.48479641757442
132	10	14.0017433674145	-4.00174336741447
133	16	13.6527851918476	2.34721480815238
134	12	14.7727104074078	-2.77271040740782
135	14	15.5762759099626	-1.57627590996259
136	15	15.4237655479126	-0.42376554791261
137	13	12.7283399686294	0.271660031370606
138	15	14.589497813916	0.410502186083961
139	11	13.7045086299878	-2.70450862998777
140	12	13.3939548674202	-1.39395486742021
141	8	13.8658342812564	-5.86583428125638
142	16	13.4619513130571	2.53804868694285
143	15	13.9662187976707	1.0337812023293
144	17	17.239248020756	-0.239248020755979
145	16	15.1456856268177	0.854314373182302
146	10	13.6245999029343	-3.62459990293426
147	18	16.2199499148482	1.78005008515179
148	13	15.1037983201563	-2.10379832015629
149	16	15.4792169038309	0.520783096169124
150	13	12.9264814047753	0.0735185952246992
151	10	12.9514566164585	-2.95145661645854
152	15	15.7410469137044	-0.74104691370437
153	16	14.3882296276767	1.61177037232331
154	16	12.1013918607244	3.89860813927557
155	14	12.3851598556461	1.61484014435387
156	10	12.6605908951288	-2.66059089512878
157	17	16.7776296813328	0.222370318667236
158	13	12.026817972786	0.973182027213978
159	15	14.1814783241214	0.818521675878554
160	16	15.2344953182468	0.765504681753169
161	12	12.8810095841001	-0.881009584100104
162	13	12.7346844837081	0.265315516291861

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.648850878167225	0.70229824366555	0.351149121832775
10	0.50576207128634	0.98847585742732	0.49423792871366
11	0.361564145874692	0.723128291749384	0.638435854125308
12	0.387968295385393	0.775936590770786	0.612031704614607
13	0.277065407612193	0.554130815224387	0.722934592387807
14	0.256030618439578	0.512061236879156	0.743969381560422
15	0.191411244008287	0.382822488016574	0.808588755991713
16	0.132387317670194	0.264774635340388	0.867612682329806
17	0.100343685039873	0.200687370079746	0.899656314960127
18	0.289565283145589	0.579130566291179	0.710434716854411
19	0.234265368692596	0.468530737385192	0.765734631307404
20	0.17522985683256	0.35045971366512	0.82477014316744
21	0.134234789436814	0.268469578873629	0.865765210563186
22	0.147964604942308	0.295929209884616	0.852035395057692
23	0.385684358798265	0.77136871759653	0.614315641201735
24	0.362546924129483	0.725093848258966	0.637453075870517
25	0.365886463350928	0.731772926701856	0.634113536649072
26	0.357394416183975	0.714788832367949	0.642605583816025
27	0.391779185459447	0.783558370918895	0.608220814540553
28	0.410386974782938	0.820773949565876	0.589613025217062
29	0.367811046316601	0.735622092633201	0.632188953683399
30	0.424733054040956	0.849466108081911	0.575266945959044
31	0.396575849972354	0.793151699944709	0.603424150027645
32	0.429636130126934	0.859272260253868	0.570363869873066
33	0.400346037431226	0.800692074862452	0.599653962568774
34	0.362353307141191	0.724706614282383	0.637646692858809
35	0.327501355470678	0.655002710941357	0.672498644529322
36	0.908049235887837	0.183901528224326	0.0919507641121628
37	0.907266078948928	0.185467842102144	0.0927339210510718
38	0.900140084377716	0.199719831244568	0.0998599156222842
39	0.88403557549896	0.231928849002081	0.11596442450104
40	0.871308700763932	0.257382598472135	0.128691299236068
41	0.852298119832142	0.295403760335716	0.147701880167858
42	0.837270043281785	0.32545991343643	0.162729956718215
43	0.864188699328769	0.271622601342462	0.135811300671231
44	0.833724666663615	0.33255066667277	0.166275333336385
45	0.802469931957496	0.395060136085009	0.197530068042504
46	0.902859112363972	0.194281775272056	0.0971408876360282
47	0.929411771488448	0.141176457023103	0.0705882285115516
48	0.911005315844358	0.177989368311284	0.0889946841556419
49	0.898587091184908	0.202825817630184	0.101412908815092
50	0.88877114405495	0.222457711890099	0.11122885594505
51	0.868466143689113	0.263067712621775	0.131533856310887
52	0.840618763287307	0.318762473425387	0.159381236712693
53	0.866309958265093	0.267380083469813	0.133690041734907
54	0.857430659771243	0.285138680457514	0.142569340228757
55	0.875879298461024	0.248241403077953	0.124120701538976
56	0.863296214239963	0.273407571520074	0.136703785760037
57	0.836224206891143	0.327551586217714	0.163775793108857
58	0.805578054935324	0.388843890129352	0.194421945064676
59	0.77454206656314	0.450915866873721	0.22545793343686
60	0.774244131137188	0.451511737725623	0.225755868862812
61	0.73781398300711	0.524372033985781	0.262186016992891
62	0.704775001942199	0.590449996115601	0.295224998057801
63	0.667234647783071	0.665530704433858	0.332765352216929
64	0.625885003919047	0.748229992161906	0.374114996080953
65	0.588854273122775	0.82229145375445	0.411145726877225
66	0.557458800046291	0.885082399907419	0.442541199953709
67	0.563535564277624	0.872928871444752	0.436464435722376
68	0.659321600758141	0.681356798483719	0.340678399241859
69	0.747564782058882	0.504870435882235	0.252435217941118
70	0.712751128918367	0.574497742163266	0.287248871081633
71	0.794360214777529	0.411279570444942	0.205639785222471
72	0.763421772383609	0.473156455232782	0.236578227616391
73	0.74239845072995	0.515203098540099	0.25760154927005
74	0.721346273736768	0.557307452526464	0.278653726263232
75	0.681566349931809	0.636867300136382	0.318433650068191
76	0.77236627519177	0.45526744961646	0.22763372480823
77	0.737048930149898	0.525902139700203	0.262951069850102
78	0.725339837634374	0.549320324731252	0.274660162365626
79	0.762286089766485	0.475427820467031	0.237713910233515
80	0.729883502292958	0.540232995414085	0.270116497707042
81	0.69074743124988	0.618505137500239	0.309252568750119
82	0.807995574488017	0.384008851023965	0.192004425511983
83	0.775552224028409	0.448895551943182	0.224447775971591
84	0.744744361590431	0.510511276819138	0.255255638409569
85	0.706151876175211	0.587696247649578	0.293848123824789
86	0.694968912172875	0.610062175654251	0.305031087827125
87	0.65330220669086	0.69339558661828	0.34669779330914
88	0.613372218581854	0.773255562836291	0.386627781418146
89	0.583134517290812	0.833730965418375	0.416865482709188
90	0.549582734858609	0.900834530282781	0.450417265141391
91	0.551132816061929	0.897734367876142	0.448867183938071
92	0.513060680022115	0.97387863995577	0.486939319977885
93	0.470087207261728	0.940174414523455	0.529912792738273
94	0.427538838127552	0.855077676255105	0.572461161872448
95	0.478172918687668	0.956345837375337	0.521827081312332
96	0.451027299731519	0.902054599463038	0.548972700268481
97	0.411687361188374	0.823374722376747	0.588312638811626
98	0.411849066667775	0.82369813333555	0.588150933332225
99	0.366878811958666	0.733757623917332	0.633121188041334
100	0.328412540376658	0.656825080753317	0.671587459623342
101	0.296035965812052	0.592071931624104	0.703964034187948
102	0.284946284215083	0.569892568430165	0.715053715784917
103	0.340591484105365	0.68118296821073	0.659408515894635
104	0.298312521997427	0.596625043994853	0.701687478002573
105	0.283799880511047	0.567599761022094	0.716200119488953
106	0.269751259732163	0.539502519464327	0.730248740267837
107	0.253949975215171	0.507899950430341	0.746050024784829
108	0.234561415864325	0.46912283172865	0.765438584135675
109	0.233205884863162	0.466411769726323	0.766794115136838
110	0.219363733692651	0.438727467385303	0.780636266307349
111	0.19298708945378	0.38597417890756	0.80701291054622
112	0.165201061068491	0.330402122136981	0.834798938931509
113	0.168109435343952	0.336218870687904	0.831890564656048
114	0.161526326904538	0.323052653809077	0.838473673095462
115	0.191880830437267	0.383761660874535	0.808119169562733
116	0.192006615168441	0.384013230336883	0.807993384831559
117	0.177592280933055	0.35518456186611	0.822407719066945
118	0.151762951715011	0.303525903430021	0.848237048284989
119	0.159420367507815	0.31884073501563	0.840579632492185
120	0.146830632237385	0.293661264474769	0.853169367762615
121	0.131718659497697	0.263437318995394	0.868281340502303
122	0.109973252211593	0.219946504423186	0.890026747788407
123	0.123465657277587	0.246931314555175	0.876534342722413
124	0.101591423123526	0.203182846247052	0.898408576876474
125	0.0843340498051774	0.168668099610355	0.915665950194823
126	0.0687889492686514	0.137577898537303	0.931211050731349
127	0.0523868722876243	0.104773744575249	0.947613127712376
128	0.0452526073270079	0.0905052146540157	0.954747392672992
129	0.0359269629562061	0.0718539259124122	0.964073037043794
130	0.0476286654137969	0.0952573308275939	0.952371334586203
131	0.0397307679125199	0.0794615358250399	0.96026923208748
132	0.0703341855095576	0.140668371019115	0.929665814490442
133	0.0734216851439002	0.1468433702878	0.9265783148561
134	0.089729928050223	0.179459856100446	0.910270071949777
135	0.0771039965762346	0.154207993152469	0.922896003423765
136	0.0569300575789956	0.113860115157991	0.943069942421004
137	0.0409995269666984	0.0819990539333969	0.959000473033302
138	0.0299453253114691	0.0598906506229381	0.970054674688531
139	0.0389686435234242	0.0779372870468485	0.961031356476576
140	0.0359456115892563	0.0718912231785127	0.964054388410744
141	0.528575580154443	0.942848839691114	0.471424419845557
142	0.464862712529421	0.929725425058843	0.535137287470579
143	0.42926431482415	0.8585286296483	0.57073568517585
144	0.374731095421816	0.749462190843633	0.625268904578184
145	0.30507065718897	0.610141314377941	0.694929342811029
146	0.45454227523532	0.90908455047064	0.54545772476468
147	0.516518425206169	0.966963149587663	0.483481574793831
148	0.761473626964609	0.477052746070782	0.238526373035391
149	0.677363436594043	0.645273126811914	0.322636563405957
150	0.560520675546877	0.878958648906247	0.439479324453123
151	0.771301644618212	0.457396710763575	0.228698355381788
152	0.698332801757797	0.603334396484406	0.301667198242203
153	0.59006199799553	0.819876004008939	0.409938002004469

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	8	0.0551724137931034	OK