Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 4.27566163819705 + 0.108355064457799Connected[t] -0.00635413349300075Separate[t] + 0.522519287456502Software[t] + 0.0866776490697362Happiness[t] -0.0630244321133505Depression[t] + 0.0364344546113714Belonging[t] -0.0458407282060106Belonging_Final[t] + 1.08096691583244M1[t] + 0.439345742284376M2[t] + 0.893787137873395M3[t] + 0.9947450378243M4[t] + 0.722758968784425M5[t] + 0.987731822869931M6[t] + 0.485423725907147M7[t] + 0.964873962815219M8[t] -0.0416032140904913M9[t] + 1.20158576284122M10[t] + 0.498842225135348M11[t] -0.00408762794108934t + 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)	4.27566163819705	2.805251	1.5242	0.129692	0.064846
Connected	0.108355064457799	0.050373	2.151	0.033165	0.016583
Separate	-0.00635413349300075	0.047723	-0.1331	0.894266	0.447133
Software	0.522519287456502	0.072168	7.2403	0	0
Happiness	0.0866776490697362	0.080633	1.075	0.284216	0.142108
Depression	-0.0630244321133505	0.060277	-1.0456	0.297533	0.148766
Belonging	0.0364344546113714	0.046771	0.779	0.437276	0.218638
Belonging_Final	-0.0458407282060106	0.066661	-0.6877	0.492783	0.246392
M1	1.08096691583244	0.7338	1.4731	0.142935	0.071468
M2	0.439345742284376	0.736031	0.5969	0.551517	0.275758
M3	0.893787137873395	0.739425	1.2088	0.228764	0.114382
M4	0.9947450378243	0.731433	1.36	0.175987	0.087994
M5	0.722758968784425	0.731102	0.9886	0.324546	0.162273
M6	0.987731822869931	0.731018	1.3512	0.178789	0.089394
M7	0.485423725907147	0.74087	0.6552	0.513394	0.256697
M8	0.964873962815219	0.757147	1.2744	0.204619	0.10231
M9	-0.0416032140904913	0.743176	-0.056	0.955436	0.477718
M10	1.20158576284122	0.747865	1.6067	0.110344	0.055172
M11	0.498842225135348	0.747253	0.6676	0.505493	0.252746
t	-0.00408762794108934	0.003308	-1.2356	0.218648	0.109324

Multiple Linear Regression - Regression Statistics
Multiple R	0.626165599110448
R-squared	0.392083357509346
Adjusted R-squared	0.31074239830285
F-TEST (value)	4.82024506883407
F-TEST (DF numerator)	19
F-TEST (DF denominator)	142
p-value	1.50675444343662e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.87318265399593
Sum Squared Residuals	498.251482242834

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.7451896390286	-3.74518963902862
2	16	16.1394744167787	-0.139474416778698
3	19	16.5737079754519	2.4262920245481
4	15	12.3839696879108	2.61603031208918
5	14	15.9433768202578	-1.94337682025784
6	13	15.5634956846109	-2.56349568461092
7	19	15.0934415248286	3.90655847517138
8	15	17.1672070082364	-2.16720700823636
9	14	15.4491261572241	-1.44912615722405
10	15	13.4345186019251	1.56548139807487
11	16	15.3506490869146	0.649350913085401
12	16	15.7789797277346	0.221020272265375
13	16	15.9060265007212	0.0939734992787753
14	16	15.3491000461924	0.650899953807597
15	17	17.9567301750605	-0.956730175060463
16	15	15.526988925255	-0.526988925255041
17	15	14.8524702192245	0.147529780775512
18	20	16.8471669478825	3.15283305211751
19	18	15.4511010408893	2.54889895911072
20	16	15.6870667476161	0.312933252383945
21	16	14.7978368631116	1.20216313688838
22	16	15.35124285841	0.648757141589952
23	19	16.3695400185738	2.6304599814262
24	16	14.1886091622083	1.81139083779171
25	17	15.509523195493	1.49047680450705
26	17	16.613826257776	0.386173742223957
27	16	15.4541042139265	0.545895786073522
28	15	16.5769432383244	-1.57694323832442
29	16	15.7130189448819	0.286981055118129
30	14	14.3985962238864	-0.398596223886415
31	15	15.573874790707	-0.573874790707009
32	12	12.648299749556	-0.648299749555988
33	14	14.5954895008721	-0.595489500872089
34	16	16.2494595998732	-0.249459599873202
35	14	15.5601250477392	-1.56012504773922
36	7	12.4963188664458	-5.49631886644576
37	10	11.404694672196	-1.40469467219596
38	14	15.6805713986445	-1.68057139864454
39	16	14.6841636579659	1.31583634203413
40	16	15.000067184002	0.999932815998022
41	16	15.2280875681213	0.77191243187874
42	14	16.0564227136326	-2.05642271363265
43	20	17.6746302985299	2.3253697014701
44	14	14.4999325015782	-0.499932501578205
45	14	14.1504145720371	-0.150414572037055
46	11	16.1242409855361	-5.12424098553609
47	14	16.3748504141116	-2.37485041411162
48	15	14.4176508285672	0.582349171432826
49	16	15.8623648037587	0.13763519624134
50	14	15.7983096217674	-1.79830962176741
51	16	16.865041520318	-0.865041520317998
52	14	14.4984053236201	-0.498405323620124
53	12	14.7279614915831	-2.72796149158309
54	16	15.5860798356923	0.41392016430772
55	9	11.4048595161903	-2.40485951619033
56	14	13.1109251496804	0.889074850319621
57	16	15.4819436956478	0.51805630435215
58	16	15.6853954817826	0.314604518217421
59	15	15.1598858974952	-0.159885897495165
60	16	13.5060093706318	2.49399062936824
61	12	11.7347097998497	0.265290200150277
62	16	15.7463942965977	0.253605703402273
63	16	16.628656949695	-0.62865694969499
64	14	14.6977970785443	-0.697797078544276
65	16	15.425613930359	0.574386069640979
66	17	16.1857534949372	0.814246505062759
67	18	15.8422741782062	2.15772582179382
68	18	14.853463326123	3.14653667387704
69	12	15.228195807044	-3.22819580704403
70	16	16.0251586814133	-0.0251586814132891
71	10	13.3714661102156	-3.37146611021557
72	14	13.7428069355491	0.257193064450898
73	18	17.0414457122642	0.958554287735812
74	18	16.9350345682719	1.06496543172809
75	16	15.8476171789353	0.15238282106471
76	17	14.2088723141696	2.79112768583042
77	16	16.4839213647992	-0.483921364799152
78	16	14.7317441160654	1.26825588393456
79	13	14.6771437707371	-1.67714377073709
80	16	16.0356386629328	-0.0356386629328053
81	16	14.8967047313367	1.10329526866328
82	20	17.0296053738749	2.97039462612508
83	16	15.5197448656447	0.480255134355281
84	15	15.3210963938203	-0.321096393820331
85	15	15.1583741065861	-0.158374106586065
86	16	14.012511489833	1.98748851016705
87	14	14.5367784206284	-0.536778420628382
88	16	15.5864641401771	0.41353585982287
89	16	14.4799772416247	1.52002275837529
90	15	14.3312356646173	0.668764335382716
91	12	13.4272871068829	-1.4272871068829
92	17	17.0358726654063	-0.035872665406333
93	16	14.8336748840448	1.1663251159552
94	15	15.7080790784194	-0.708079078419432
95	13	14.8648907828934	-1.86489078289336
96	16	14.5593567136198	1.44064328638024
97	16	16.1141890237113	-0.114189023711278
98	16	13.8659748430431	2.13402515695694
99	16	16.3591890561284	-0.35918905612839
100	14	14.6557154812792	-0.655715481279248
101	16	17.3390453472166	-1.33904534721657
102	16	15.0095335781638	0.990466421836217
103	20	17.1872883542688	2.81271164573115
104	15	14.5921295882244	0.40787041177565
105	16	13.8960570840423	2.10394291595769
106	13	15.6257682838975	-2.62576828389754
107	17	15.8105348569058	1.18946514309416
108	16	15.2066444933615	0.793355506638502
109	16	14.7133034459108	1.28669655408918
110	12	11.9703506700562	0.0296493299438492
111	16	15.1798172015566	0.820182798443439
112	16	15.964428222177	0.0355717778230329
113	17	14.6096060402262	2.39039395977375
114	13	14.9511735654269	-1.9511735654269
115	12	14.7277066942973	-2.72770669429725
116	18	16.8253291755846	1.17467082441538
117	14	14.6559700349261	-0.655970034926068
118	14	13.5325577067212	0.467442293278842
119	13	14.624044736705	-1.62404473670496
120	16	14.9701028473616	1.02989715263843
121	13	14.4998337483978	-1.49983374839782
122	16	15.1880029928609	0.811997007139067
123	13	16.1807463520505	-3.18074635205048
124	16	17.2569647518428	-1.2569647518428
125	15	15.862735240263	-0.862735240262993
126	16	16.8928106185355	-0.892810618535548
127	15	15.2168501732006	-0.216850173200556
128	17	16.5072763297195	0.492723670280494
129	15	13.2316351358545	1.76836486414546
130	12	15.3634445909989	-3.36344459099887
131	16	13.8169695124099	2.18303048759011
132	10	12.4050715205078	-2.40507152050782
133	16	14.4589278990992	1.5410721009008
134	12	13.539348809812	-1.53934880981202
135	14	15.7868784601568	-1.78687846015677
136	15	15.3303799356065	-0.330379935606529
137	13	11.9938487535088	1.00615124649115
138	15	14.6098955797817	0.390104420218339
139	11	12.7544535040939	-1.75445350409391
140	12	13.5298806558592	-1.52988065585925
141	8	12.5020125617428	-4.50201256174277
142	16	13.4529169900714	2.54708300992862
143	15	13.1543754342146	1.84562456578539
144	17	15.7140881912821	1.28591180871787
145	16	14.9651476507307	1.03485234926925
146	10	13.8505924817137	-3.85059248171373
147	18	15.9021721885407	2.09782781145932
148	13	15.1859588320983	-2.18595883209831
149	16	14.9007530515701	1.09924694842993
150	13	13.0756941618866	-0.0756941618866244
151	10	12.9690890471681	-2.96908904716813
152	15	16.5069784394832	-1.50697843948319
153	16	13.2809389721161	2.7190610278839
154	16	12.4176117670764	3.58238823292364
155	14	12.0229232361766	1.97707676382336
156	10	11.6932649489102	-1.69326494891016
157	17	16.8862698022527	0.113730197747253
158	13	11.3105081066524	1.68949189334757
159	15	14.0443966495857	0.955603350414253
160	16	15.1270448849928	0.872955115007213
161	12	12.4395839863638	-0.439583986363837
162	13	12.7603978148808	0.239602185119241

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
23	0.697302694397424	0.605394611205152	0.302697305602576
24	0.863589139185206	0.272821721629589	0.136410860814794
25	0.824658795323634	0.350682409352732	0.175341204676366
26	0.73532831804981	0.529343363900379	0.26467168195019
27	0.63640575313108	0.727188493737841	0.36359424686892
28	0.646743890601233	0.706512218797535	0.353256109398767
29	0.55840836649984	0.883183267000319	0.441591633500159
30	0.720222650629363	0.559554698741275	0.279777349370637
31	0.771361164416005	0.457277671167989	0.228638835583995
32	0.719998684913335	0.56000263017333	0.280001315086665
33	0.662291805788389	0.675416388423223	0.337708194211611
34	0.605252050600763	0.789495898798475	0.394747949399237
35	0.542489164912092	0.915021670175815	0.457510835087908
36	0.908490506479383	0.183018987041235	0.0915094935206175
37	0.883142272717856	0.233715454564287	0.116857727282144
38	0.859450974939424	0.281098050121152	0.140549025060576
39	0.827651580411873	0.344696839176254	0.172348419588127
40	0.785720390297831	0.428559219404338	0.214279609702169
41	0.734991258315898	0.530017483368205	0.265008741684102
42	0.698292602193213	0.603414795613573	0.301707397806787
43	0.702402216278634	0.595195567442731	0.297597783721366
44	0.650705373031575	0.69858925393685	0.349294626968425
45	0.595628509930698	0.808742980138604	0.404371490069302
46	0.793197716994534	0.413604566010931	0.206802283005466
47	0.86821082317828	0.26357835364344	0.13178917682172
48	0.887174482129184	0.225651035741632	0.112825517870816
49	0.896091088952706	0.207817822094588	0.103908911047294
50	0.881802130268035	0.23639573946393	0.118197869731965
51	0.858179538012069	0.283640923975862	0.141820461987931
52	0.824447159146212	0.351105681707577	0.175552840853788
53	0.831803152164876	0.336393695670248	0.168196847835124
54	0.79512535858705	0.409749282825899	0.20487464141295
55	0.827905288902006	0.344189422195988	0.172094711097994
56	0.79136870879464	0.41726258241072	0.20863129120536
57	0.755719621392757	0.488560757214486	0.244280378607243
58	0.760464830860558	0.479070338278884	0.239535169139442
59	0.727367750505166	0.545264498989669	0.272632249494834
60	0.778517698882589	0.442964602234821	0.22148230111741
61	0.749311644241369	0.501376711517263	0.250688355758631
62	0.718605313835782	0.562789372328437	0.281394686164218
63	0.677079797631274	0.645840404737452	0.322920202368726
64	0.631425780867182	0.737148438265637	0.368574219132818
65	0.59229856762717	0.81540286474566	0.40770143237283
66	0.578355473978366	0.843289052043267	0.421644526021634
67	0.606411463899785	0.78717707220043	0.393588536100215
68	0.725903940590053	0.548192118819893	0.274096059409947
69	0.771325134053016	0.457349731893967	0.228674865946984
70	0.735817931231675	0.528364137536649	0.264182068768325
71	0.838306159748342	0.323387680503316	0.161693840251658
72	0.813316393486357	0.373367213027287	0.186683606513643
73	0.798413981058258	0.403172037883485	0.201586018941742
74	0.786499914351602	0.427000171296795	0.213500085648398
75	0.749647511251119	0.500704977497762	0.250352488748881
76	0.763828839097292	0.472342321805416	0.236171160902708
77	0.731307817929068	0.537384364141864	0.268692182070932
78	0.700574240364983	0.598851519270034	0.299425759635017
79	0.686599201686892	0.626801596626216	0.313400798313108
80	0.645451073355434	0.709097853289133	0.354548926644566
81	0.631092879372732	0.737814241254536	0.368907120627268
82	0.714591806561481	0.570816386877037	0.285408193438519
83	0.68475217756174	0.63049564487652	0.31524782243826
84	0.64283244109777	0.71433511780446	0.35716755890223
85	0.612025741643142	0.775948516713715	0.387974258356857
86	0.614704076495453	0.770591847009095	0.385295923504547
87	0.575009453053844	0.849981093892313	0.424990546946156
88	0.527640597372729	0.944718805254543	0.472359402627271
89	0.510536657876997	0.978926684246006	0.489463342123003
90	0.465431234492332	0.930862468984665	0.534568765507668
91	0.438624805257729	0.877249610515458	0.561375194742271
92	0.39750441762225	0.7950088352445	0.60249558237775
93	0.366354942510827	0.732709885021655	0.633645057489173
94	0.326757572030473	0.653515144060945	0.673242427969527
95	0.353356171168203	0.706712342336405	0.646643828831797
96	0.325306804913889	0.650613609827778	0.674693195086111
97	0.284560194742449	0.569120389484897	0.715439805257551
98	0.299723940360552	0.599447880721103	0.700276059639448
99	0.259652695351025	0.519305390702051	0.740347304648975
100	0.224270062319116	0.448540124638232	0.775729937680884
101	0.209131998078952	0.418263996157903	0.790868001921048
102	0.18072323042987	0.361446460859741	0.81927676957013
103	0.279910150564198	0.559820301128396	0.720089849435802
104	0.239796596285798	0.479593192571597	0.760203403714202
105	0.251144923702565	0.502289847405129	0.748855076297436
106	0.267168481935988	0.534336963871976	0.732831518064012
107	0.232174252773439	0.464348505546878	0.767825747226561
108	0.212040462803197	0.424080925606393	0.787959537196803
109	0.19049928733419	0.38099857466838	0.80950071266581
110	0.220696388414807	0.441392776829613	0.779303611585193
111	0.194505271203578	0.389010542407156	0.805494728796422
112	0.178216435210383	0.356432870420767	0.821783564789617
113	0.197961332376106	0.395922664752212	0.802038667623894
114	0.176201497916102	0.352402995832204	0.823798502083898
115	0.175386652367843	0.350773304735686	0.824613347632157
116	0.173759712760187	0.347519425520375	0.826240287239813
117	0.145177475326993	0.290354950653987	0.854822524673007
118	0.119708518207233	0.239417036414467	0.880291481792767
119	0.142482295086064	0.284964590172129	0.857517704913936
120	0.167290345290536	0.334580690581072	0.832709654709464
121	0.134767282771007	0.269534565542015	0.865232717228993
122	0.184644952231467	0.369289904462933	0.815355047768533
123	0.178593347360673	0.357186694721345	0.821406652639327
124	0.141372475360712	0.282744950721424	0.858627524639288
125	0.115325277865035	0.230650555730071	0.884674722134965
126	0.0882881540410717	0.176576308082143	0.911711845958928
127	0.0852538460650294	0.170507692130059	0.914746153934971
128	0.0838264551262678	0.167652910252536	0.916173544873732
129	0.201605846308179	0.403211692616358	0.798394153691821
130	0.297930773469586	0.595861546939172	0.702069226530414
131	0.24329162202779	0.486583244055579	0.75670837797221
132	0.226110926362301	0.452221852724602	0.773889073637699
133	0.315708785200919	0.631417570401838	0.684291214799081
134	0.303588843919512	0.607177687839024	0.696411156080488
135	0.225489273554873	0.450978547109747	0.774510726445127
136	0.323616945213332	0.647233890426665	0.676383054786668
137	0.439358329809254	0.878716659618509	0.560641670190746
138	0.484364763553657	0.968729527107314	0.515635236446343
139	0.457466066225943	0.914932132451886	0.542533933774057

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