Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 7.41086418819751 -0.197416427817063month[t] + 0.107182174445822Connected[t] -0.0145956286528018Separate[t] + 0.532997096646545Software[t] + 0.0542272646368851Happiness[t] -0.0647808927226989Depression[t] + 0.0413062256139078Belonging[t] -0.0565867207479564Belonging_Final[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)	7.41086418819751	3.153085	2.3504	0.020032	0.010016
month	-0.197416427817063	0.185899	-1.062	0.289929	0.144964
Connected	0.107182174445822	0.047315	2.2653	0.024898	0.012449
Separate	-0.0145956286528018	0.045156	-0.3232	0.746963	0.373482
Software	0.532997096646545	0.069509	7.668	0	0
Happiness	0.0542272646368851	0.076524	0.7086	0.479631	0.239815
Depression	-0.0647808927226989	0.056637	-1.1438	0.254493	0.127247
Belonging	0.0413062256139078	0.044817	0.9217	0.358158	0.179079
Belonging_Final	-0.0565867207479564	0.064063	-0.8833	0.378459	0.189229

Multiple Linear Regression - Regression Statistics
Multiple R	0.601179730636677
R-squared	0.361417068528387
Adjusted R-squared	0.328027111327257
F-TEST (value)	10.8241249412609
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	5.12323516943525e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84954635690498
Sum Squared Residuals	523.385724130092

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.2301826469213	-3.23018264692127
2	16	16.1400426756179	-0.140042675617893
3	19	16.3728270500604	2.62717294993958
4	15	11.9939086084371	3.00609139156291
5	14	15.7107557445178	-1.7107557445178
6	13	15.0532199525043	-2.05321995250433
7	19	15.1872451676324	3.81275483236756
8	15	16.7931676079821	-1.79316760798213
9	14	16.0536510789015	-2.05365107890145
10	15	12.6941601190734	2.30583988092659
11	16	15.3490425234627	0.650957476537302
12	16	16.2676336882445	-0.267633688244512
13	16	15.5535912239417	0.446408776058309
14	16	15.4464334500774	0.553566549922621
15	17	17.5488735491058	-0.548873549105821
16	15	15.1891436798052	-0.189143679805167
17	15	14.759399161653	0.240600838347005
18	20	16.3369088502489	3.66309114975114
19	18	15.5574709818498	2.44252901815017
20	16	15.3356685048405	0.664331495159469
21	16	15.3740380919365	0.625961908063464
22	16	14.9088394589097	1.09116054109028
23	19	16.5335348995421	2.46646510045791
24	16	14.8568299822214	1.14317001777862
25	17	14.96323449694	2.03676550306004
26	17	17.0404271508244	-0.0404271508244363
27	16	15.1728891502463	0.827110849753723
28	15	16.2408313559795	-1.24083135597951
29	16	15.6673971444344	0.332602855565576
30	14	14.1586751987573	-0.158675198757285
31	15	15.7604082352932	-0.760408235293158
32	12	12.4213671520713	-0.421367152071332
33	14	15.2509308685934	-1.25093086859335
34	16	15.649096349389	0.350903650611025
35	14	15.8334550927127	-1.8334550927127
36	7	13.1055852491796	-6.10558524917956
37	10	11.188928561695	-1.188928561695
38	14	15.9425353154158	-1.94253531541585
39	16	14.4302444388524	1.56975556114756
40	16	14.7644404733687	1.2355595266313
41	16	15.2034068387353	0.79659316126471
42	14	15.7614746274234	-1.76147462742336
43	20	17.9474987904707	2.05250120952926
44	14	14.3713377306321	-0.37133773063211
45	14	15.0399569826106	-1.0399569826106
46	11	15.784677766688	-4.78467776668797
47	14	16.5488283135219	-2.54882831352187
48	15	15.1336416997135	-0.133641699713494
49	16	15.4311773242006	0.568822675799353
50	14	16.1798731173689	-2.17987311736894
51	16	16.6753312226099	-0.675331222609872
52	14	14.3123455200038	-0.312345520003828
53	12	14.9172827223253	-2.9172827223253
54	16	15.3544301477816	0.645569852218355
55	9	11.567762481079	-2.56776248107896
56	14	12.6490983558959	1.35090164410415
57	16	16.0522613895434	-0.0522613895434465
58	16	15.0659525342856	0.934047465714354
59	15	15.3250095222022	-0.325009522202214
60	16	14.1590161935144	1.84098380648559
61	12	11.4911223738925	0.508877626107472
62	16	15.9710969907514	0.0289030092486086
63	16	16.4853123283346	-0.485312328334619
64	14	14.3574529736465	-0.357452973646468
65	16	15.3588262753332	0.641173724666825
66	17	15.938431570764	1.061568429236
67	18	16.0911638941037	1.90883610589635
68	18	14.6897066150072	3.31029338499281
69	12	15.8521989164725	-3.85219891647246
70	16	15.4239666826165	0.576033317383503
71	10	13.4428881833827	-3.44288818338267
72	14	14.326778733971	-0.326778733971037
73	18	16.57452271976	1.42547728023998
74	18	17.1254218970226	0.874578102977444
75	16	15.715528561818	0.284471438182014
76	17	13.9275486700229	3.07245132997709
77	16	16.3292830550171	-0.329283055017107
78	16	14.4553905345032	1.54460946549684
79	13	14.8735623273067	-1.87356232730673
80	16	15.8894243548989	0.110575645101125
81	16	15.605256013693	0.394743986306997
82	20	16.7027857108548	3.29721428914521
83	16	15.6607234352139	0.339276564786062
84	15	15.9891407779093	-0.989140777909307
85	15	14.7535169693821	0.246483030617901
86	16	14.2892517416059	1.71074825839413
87	14	14.260188742871	-0.260188742871004
88	16	15.3287237404918	0.671276259508229
89	16	14.5703034597321	1.42969654026791
90	15	14.3006390943253	0.699360905674661
91	12	13.5229557650066	-1.52295576500665
92	17	16.9195699707925	0.0804300292075153
93	16	15.5344679826474	0.465532017352574
94	15	15.3122332682877	-0.312233268287726
95	13	15.2051469561414	-2.2051469561414
96	16	15.2213016365777	0.778698363422314
97	16	15.8516890853563	0.148310914643719
98	16	14.1980737256582	1.80192627434177
99	16	16.1410695077876	-0.14106950778757
100	14	14.3729418618351	-0.372941861835067
101	16	17.3130645451179	-1.31306454511791
102	16	14.8377463530229	1.16225364697709
103	20	17.4089615994272	2.5910384005728
104	15	14.5542986632865	0.445701336713466
105	16	14.6479808467266	1.3520191532734
106	13	15.3988681418089	-2.39886814180886
107	17	16.0294843816221	0.970515618377876
108	16	15.9343324170203	0.0656675829797099
109	16	14.3836964765202	1.61630352347982
110	12	12.1560962333135	-0.156096233313464
111	16	14.8753001562738	1.12469984372617
112	16	15.7338660002238	0.266133999776172
113	17	14.4487031860394	2.55129681396064
114	13	14.7850763412226	-1.78507634122255
115	12	14.71716085127	-2.71716085127002
116	18	16.4399925863382	1.56000741366177
117	14	15.336855954482	-1.33685595448203
118	14	12.8822792200128	1.11772077998716
119	13	14.7780572655435	-1.77805726554346
120	16	15.5754876175988	0.424512382401249
121	13	14.1414132251509	-1.14141322515088
122	16	15.4853443718594	0.514655628140648
123	13	15.8603320623021	-2.86033206230208
124	16	16.8872085002251	-0.887208500225133
125	15	15.822564192851	-0.822564192851004
126	16	16.6712121628606	-0.671212162860609
127	15	15.2912061563322	-0.291206156332239
128	17	16.0899372575979	0.910062742402119
129	15	13.712262760476	1.28773723952403
130	12	14.8274618008326	-2.82746180083261
131	16	14.0658926529022	1.93410734709777
132	10	13.2914619007928	-3.29146190079283
133	16	13.9936992332526	2.0063007667474
134	12	13.8214328094735	-1.82143280947351
135	14	15.5360650055614	-1.53606500556139
136	15	14.9905230300745	0.0094769699254514
137	13	12.1859681830022	0.814031816997769
138	15	14.3134976226923	0.686502377307661
139	11	13.083879263617	-2.08387926361698
140	12	13.2393337457661	-1.23933374576613
141	8	13.3057155013017	-5.3057155013017
142	16	12.965612904248	3.03438709575202
143	15	13.299975140703	1.70002485929701
144	17	16.473908357833	0.526091642167015
145	16	14.7028279688737	1.29717203112634
146	10	14.0571135977189	-4.05711359771888
147	18	15.7739561402764	2.22604385972361
148	13	15.0507907445399	-2.05079074453987
149	16	15.0457288583278	0.954271141672159
150	13	12.9901470761528	0.00985292384718957
151	10	13.0761547692759	-3.07615476927586
152	15	16.3371540175242	-1.33715401752417
153	16	14.0231120619873	1.97688793801267
154	16	11.9770016444951	4.02299835550488
155	14	12.4324939819889	1.5675060180111
156	10	12.4626687348674	-2.46266873486742
157	17	16.7221535429754	0.277846457024578
158	13	11.5962071661979	1.40379283380214
159	15	13.712262760476	1.28773723952403
160	16	14.9851119587878	1.01488804121219
161	12	12.5473008556049	-0.547300855604908
162	13	12.5376121247092	0.462387875290758

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.760956946451693	0.478086107096614	0.239043053548307
13	0.624143755989416	0.751712488021167	0.375856244010584
14	0.584120006154824	0.831759987690352	0.415879993845176
15	0.464417749055551	0.928835498111102	0.535582250944449
16	0.364089189091266	0.728178378182531	0.635910810908734
17	0.300795498139429	0.601590996278857	0.699204501860571
18	0.507276005184479	0.985447989631042	0.492723994815521
19	0.422232678684535	0.844465357369069	0.577767321315465
20	0.33273457088751	0.66546914177502	0.66726542911249
21	0.262509361182745	0.525018722365489	0.737490638817255
22	0.238859953014345	0.47771990602869	0.761140046985655
23	0.434126603486896	0.868253206973792	0.565873396513104
24	0.468163995247239	0.936327990494477	0.531836004752761
25	0.454916117522881	0.909832235045762	0.545083882477119
26	0.414038208158948	0.828076416317896	0.585961791841052
27	0.472973084124365	0.94594616824873	0.527026915875635
28	0.476602730248096	0.953205460496191	0.523397269751904
29	0.455952527122358	0.911905054244716	0.544047472877642
30	0.496487640782635	0.992975281565269	0.503512359217365
31	0.435974868480385	0.871949736960769	0.564025131519615
32	0.386755237002462	0.773510474004924	0.613244762997538
33	0.360712490877375	0.721424981754749	0.639287509122626
34	0.32526445976246	0.65052891952492	0.67473554023754
35	0.279923608814197	0.559847217628395	0.720076391185803
36	0.850558190980059	0.298883618039883	0.149441809019941
37	0.826418385963847	0.347163228072307	0.173581614036153
38	0.821386271829456	0.357227456341088	0.178613728170544
39	0.839056432351254	0.321887135297493	0.160943567648746
40	0.820583244411307	0.358833511177387	0.179416755588693
41	0.788829163041281	0.422341673917438	0.211170836958719
42	0.765476024482145	0.46904795103571	0.234523975517855
43	0.787687376311492	0.424625247377016	0.212312623688508
44	0.746437514551605	0.50712497089679	0.253562485448395
45	0.718685537813306	0.562628924373388	0.281314462186694
46	0.878255070942681	0.243489858114638	0.121744929057319
47	0.923283489396529	0.153433021206941	0.0767165106034707
48	0.902908722654722	0.194182554690556	0.0970912773452778
49	0.887168771786033	0.225662456427933	0.112831228213967
50	0.890536049285837	0.218927901428326	0.109463950714163
51	0.867245154805473	0.265509690389053	0.132754845194527
52	0.839706585068425	0.32058682986315	0.160293414931575
53	0.86841407539976	0.263171849200479	0.13158592460024
54	0.851615718469231	0.296768563061538	0.148384281530769
55	0.860026398132345	0.279947203735311	0.139973601867655
56	0.845305752127101	0.309388495745798	0.154694247872899
57	0.813808109212252	0.372383781575496	0.186191890787748
58	0.796069552960153	0.407860894079695	0.203930447039847
59	0.76443872311874	0.471122553762519	0.23556127688126
60	0.751809187080753	0.496381625838494	0.248190812919247
61	0.713319285984435	0.57336142803113	0.286680714015565
62	0.671562103045375	0.65687579390925	0.328437896954625
63	0.633635856191528	0.732728287616944	0.366364143808472
64	0.589231235890995	0.821537528218009	0.410768764109005
65	0.544419065069622	0.911161869860756	0.455580934930378
66	0.5055776008245	0.988844798350999	0.4944223991755
67	0.488064117723797	0.976128235447594	0.511935882276203
68	0.6027520538339	0.7944958923322	0.3972479461661
69	0.758098682133044	0.483802635733913	0.241901317866956
70	0.720539821631667	0.558920356736666	0.279460178368333
71	0.851625148879537	0.296749702240926	0.148374851120463
72	0.823963658061131	0.352072683877739	0.176036341938869
73	0.80975438624591	0.38049122750818	0.19024561375409
74	0.787949061428597	0.424101877142805	0.212050938571403
75	0.753062497057578	0.493875005884843	0.246937502942422
76	0.781826417998087	0.436347164003825	0.218173582001913
77	0.749819365509753	0.500361268980494	0.250180634490247
78	0.727155813865803	0.545688372268395	0.272844186134197
79	0.748771897666783	0.502456204666435	0.251228102333217
80	0.710290371848361	0.579419256303278	0.289709628151639
81	0.671394063927617	0.657211872144766	0.328605936072383
82	0.786524697053092	0.426950605893817	0.213475302946908
83	0.751574881924756	0.496850236150488	0.248425118075244
84	0.72973793665273	0.540524126694539	0.27026206334727
85	0.689670566350224	0.620658867299551	0.310329433649776
86	0.669653584519729	0.660692830960541	0.330346415480271
87	0.628657461435547	0.742685077128906	0.371342538564453
88	0.584466883083125	0.83106623383375	0.415533116916875
89	0.553992030651131	0.892015938697739	0.446007969348869
90	0.513331644167026	0.973336711665948	0.486668355832974
91	0.515228970427645	0.96954205914471	0.484771029572355
92	0.473126548415915	0.94625309683183	0.526873451584085
93	0.426793613183861	0.853587226367722	0.573206386816139
94	0.384848435280218	0.769696870560435	0.615151564719782
95	0.433858744121429	0.867717488242857	0.566141255878571
96	0.389655751208066	0.779311502416131	0.610344248791934
97	0.345294036160192	0.690588072320384	0.654705963839808
98	0.324686252843565	0.649372505687131	0.675313747156435
99	0.284193329255329	0.568386658510659	0.715806670744671
100	0.260732833917618	0.521465667835236	0.739267166082382
101	0.254396439159399	0.508792878318798	0.745603560840601
102	0.221464161536514	0.442928323073028	0.778535838463486
103	0.238190477530868	0.476380955061736	0.761809522469132
104	0.204131617631855	0.40826323526371	0.795868382368145
105	0.182925037470691	0.365850074941381	0.817074962529309
106	0.214398539683096	0.428797079366192	0.785601460316904
107	0.181218595340584	0.362437190681168	0.818781404659416
108	0.150785849518661	0.301571699037322	0.849214150481339
109	0.142662137622728	0.285324275245457	0.857337862377272
110	0.134934193670346	0.269868387340693	0.865065806329654
111	0.117345252678506	0.234690505357011	0.882654747321494
112	0.0971520245438104	0.194304049087621	0.90284797545619
113	0.110721307464551	0.221442614929103	0.889278692535449
114	0.103277771272285	0.206555542544569	0.896722228727715
115	0.135528781033861	0.271057562067721	0.864471218966139
116	0.127869765178728	0.255739530357457	0.872130234821272
117	0.110629723495641	0.221259446991283	0.889370276504359
118	0.0949363022972273	0.189872604594455	0.905063697702773
119	0.0973498672709089	0.194699734541818	0.902650132729091
120	0.0897320431479765	0.179464086295953	0.910267956852024
121	0.0750475014705205	0.150095002941041	0.924952498529479
122	0.0591015027645307	0.118203005529061	0.940898497235469
123	0.0662042800214119	0.132408560042824	0.933795719978588
124	0.0518911587436656	0.103782317487331	0.948108841256334
125	0.0408356500969158	0.0816713001938316	0.959164349903084
126	0.0304753595215006	0.0609507190430012	0.969524640478499
127	0.0223840044715166	0.0447680089430333	0.977615995528483
128	0.0175411844673768	0.0350823689347536	0.982458815532623
129	0.0139504564228044	0.0279009128456087	0.986049543577196
130	0.0189792761954401	0.0379585523908802	0.98102072380456
131	0.0158049465591646	0.0316098931183291	0.984195053440835
132	0.0244330963548325	0.0488661927096649	0.975566903645168
133	0.0255323759642937	0.0510647519285873	0.974467624035706
134	0.0338611057673153	0.0677222115346305	0.966138894232685
135	0.0259277873349458	0.0518555746698917	0.974072212665054
136	0.0172969890929688	0.0345939781859377	0.982703010907031
137	0.0113626321861184	0.0227252643722367	0.988637367813882
138	0.0077440854219642	0.0154881708439284	0.992255914578036
139	0.0125008291818491	0.0250016583636983	0.987499170818151
140	0.010069384191413	0.020138768382826	0.989930615808587
141	0.529372883568566	0.941254232862868	0.470627116431434
142	0.469323685205859	0.938647370411718	0.530676314794141
143	0.38578451282837	0.77156902565674	0.61421548717163
144	0.307825750527321	0.615651501054642	0.692174249472679
145	0.228547159292055	0.45709431858411	0.771452840707945
146	0.258655710422256	0.517311420844512	0.741344289577744
147	0.220031794607379	0.440063589214759	0.779968205392621
148	0.599207855561517	0.801584288876966	0.400792144438483
149	0.53858367791795	0.9228326441641	0.46141632208205
150	0.375953463199994	0.751906926399987	0.624046536800006

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	11	0.079136690647482	NOK
10% type I error level	16	0.115107913669065	NOK