Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 15.5886641040148 + 0.357805077555355Separate[t] + 0.315171083830509Learning[t] -0.0824137951118427Software[t] + 0.0598385255150711Happiness[t] -0.00381399106234525Depression[t] + 0.0510682377658427Belonging[t] -0.0336166665709537Belonging_Final[t] + 0.800494994438859M1[t] + 2.0291165182108M2[t] -1.47286375263073M3[t] -0.885123734344129M4[t] -0.810164677375956M5[t] -0.126976715642025M6[t] + 0.496573819477727M7[t] + 1.31570706043209M8[t] -0.269303551515735M9[t] -0.444326763481997M10[t] + 0.418399611398388M11[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)	15.5886641040148	4.449107	3.5038	0.000613	0.000306
Separate	0.357805077555355	0.072086	4.9636	2e-06	1e-06
Learning	0.315171083830509	0.134744	2.339	0.020718	0.010359
Software	-0.0824137951118427	0.138506	-0.595	0.55277	0.276385
Happiness	0.0598385255150711	0.132817	0.4505	0.653009	0.326504
Depression	-0.00381399106234525	0.099038	-0.0385	0.969334	0.484667
Belonging	0.0510682377658427	0.076395	0.6685	0.504905	0.252453
Belonging_Final	-0.0336166665709537	0.109613	-0.3067	0.75953	0.379765
M1	0.800494994438859	1.21434	0.6592	0.510826	0.255413
M2	2.0291165182108	1.200248	1.6906	0.093095	0.046548
M3	-1.47286375263073	1.216252	-1.211	0.227898	0.113949
M4	-0.885123734344129	1.208615	-0.7323	0.465156	0.232578
M5	-0.810164677375956	1.204787	-0.6725	0.502379	0.25119
M6	-0.126976715642025	1.210079	-0.1049	0.916576	0.458288
M7	0.496573819477727	1.219704	0.4071	0.684524	0.342262
M8	1.31570706043209	1.24661	1.0554	0.29301	0.146505
M9	-0.269303551515735	1.222222	-0.2203	0.825921	0.412961
M10	-0.444326763481997	1.240694	-0.3581	0.720776	0.360388
M11	0.418399611398388	1.23035	0.3401	0.734306	0.367153

Multiple Linear Regression - Regression Statistics
Multiple R	0.509709060323183
R-squared	0.259803326175542
Adjusted R-squared	0.166631716882953
F-TEST (value)	2.78843875455318
F-TEST (DF numerator)	18
F-TEST (DF denominator)	143
p-value	0.00037005194832529
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.08112179345231
Sum Squared Residuals	1357.54354537041

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.5168653297937	5.48313467020632
2	39	36.9162867093841	2.08371329061588
3	30	33.954453334282	-3.95445333428201
4	31	33.459774430119	-2.45977443011901
5	34	34.5704451372322	-0.570445137232181
6	35	32.5457855595803	2.45421444041972
7	39	34.3931118714498	4.60688812855016
8	34	36.5931548971474	-2.59315489714736
9	36	34.3917054703035	1.60829452969647
10	37	36.1232125147076	0.876787485292358
11	38	34.6839096544565	3.31609034554352
12	36	34.5625634396445	1.4374365603555
13	38	35.516955936384	2.48304406361598
14	39	37.9029145402693	1.09708545973073
15	33	35.1764966253888	-2.17649662538878
16	32	32.7858099213156	-0.785809921315587
17	36	33.2334015338328	2.76659846616717
18	38	38.0267424313774	-0.0267424313773729
19	39	37.1380419675073	1.86195803249275
20	32	35.0164295266936	-3.01642952669361
21	32	34.305729591855	-2.305729591855
22	31	32.8884012894431	-1.8884012894431
23	39	36.9608342258193	2.03916577418075
24	37	35.9599188068014	1.04008119319859
25	39	36.0742086675804	2.92579133241965
26	41	36.3637686951688	4.63623130483125
27	36	34.2087093701996	1.79129062980044
28	33	34.3412059331076	-1.34120593310761
29	33	33.9545933438076	-0.95459334380761
30	34	33.408592668253	0.591407331747048
31	31	33.2037136591287	-2.20371365912868
32	27	33.8459020995644	-6.84590209956437
33	37	33.1590184211803	3.84098157881968
34	34	35.7669529685665	-1.7669529685665
35	34	33.3199527464516	0.680047253548364
36	32	32.0991487163674	-0.0991487163673912
37	29	32.5740937948152	-3.5740937948152
38	36	35.880916022639	0.119083977360957
39	29	32.7402915768427	-3.74029157684269
40	35	33.5812766501026	1.41872334989736
41	37	33.5764128607243	3.4235871392757
42	34	33.947689616669	0.0523103833309814
43	38	35.1774544774528	2.82254552254719
44	35	34.5782940777146	0.421705922285446
45	38	31.7140767609158	6.28592323908418
46	37	32.8820468378581	4.11795316214187
47	38	36.0396483326389	1.9603516673611
48	33	34.7144264033388	-1.71442640333881
49	36	37.4491323071283	-1.44913230712833
50	38	35.5442875030374	2.45571249696265
51	32	34.7183937958463	-2.71839379584627
52	32	31.8871986686515	0.112801331348532
53	32	31.9422087082559	0.057791291744104
54	34	35.3141688508368	-1.31416885083682
55	32	32.642678571368	-0.642678571368035
56	37	35.4250587805214	1.57494121947856
57	39	34.7126391127372	4.28736088726277
58	29	34.2364056748572	-5.23640567485724
59	37	35.6714481085462	1.32855189145379
60	35	34.7627485523702	0.237251447629787
61	30	31.6461693643796	-1.64616936437959
62	38	36.9885623102784	1.01143768972158
63	34	33.5598824757384	0.440117524261577
64	31	33.1303366939673	-2.13033669396734
65	34	32.4205594722305	1.57944052776953
66	35	35.9816780593412	-0.981678059341177
67	36	35.6796916444848	0.320308355515235
68	30	34.3536284620905	-4.35362846209047
69	39	35.2125127678047	3.78748723219534
70	35	35.3928874277433	-0.392887427743264
71	38	34.1110430594063	3.88895694059371
72	31	35.2396418633351	-4.23964186333511
73	34	38.2337667630389	-4.2337667630389
74	38	39.8455548944861	-1.8455548944861
75	34	31.1751548191179	2.82484518088211
76	39	33.1377158007303	5.86228419926966
77	37	35.0855783320248	1.91442166797516
78	34	33.4474684480039	0.552531551996134
79	28	33.4857208542136	-5.48572085421365
80	37	33.0107898130363	3.98921018696366
81	33	35.5977632467158	-2.59776324671582
82	37	36.5067100534973	0.4932899465027
83	35	36.2759702337542	-1.2759702337542
84	37	34.3289455893055	2.67105441069449
85	32	35.4251360265597	-3.4251360265597
86	33	36.0687658691469	-3.06876586914686
87	38	34.9062332293243	3.09376677067571
88	33	33.8264646808247	-0.826464680824687
89	29	32.651059516631	-3.65105951663098
90	33	33.4720775201069	-0.472077520106867
91	31	35.1558373100332	-4.15583731003317
92	36	34.844860952934	1.15513904706598
93	35	37.2770241768362	-2.27702417683622
94	32	32.2560052208674	-0.256005220867379
95	29	33.0947112040334	-4.09471120403338
96	39	36.1091844851652	2.8908155148348
97	37	35.6189250102007	1.38107498979929
98	35	36.2434925507202	-1.24349255072019
99	37	33.83317308391	3.16682691608997
100	32	34.3670377642149	-2.36703776421491
101	38	34.8959775259978	3.10402247400217
102	37	34.993320508265	2.00667949173502
103	36	37.8956226068732	-1.89562260687321
104	32	33.3188014227697	-1.31880142276972
105	33	36.700905652611	-3.70090565261105
106	40	32.2627961088779	7.73720389112208
107	38	36.1158495615517	1.88415043844831
108	41	36.613716173172	4.38628382682799
109	36	35.2380326396785	0.761967360321504
110	43	37.6982387294883	5.30176127051174
111	30	33.7195056308877	-3.71950563088775
112	31	33.3009823190007	-2.3009823190007
113	32	37.2808994772986	-5.28089947729858
114	32	32.8112664853632	-0.811266485363159
115	37	34.5410539231146	2.45894607688539
116	37	36.485295435933	0.514704564066956
117	33	35.4052578167386	-2.4052578167386
118	34	36.0934260433669	-2.09342604336689
119	33	34.6361356209299	-1.63613562092991
120	38	36.0511729247528	1.94882707524721
121	33	35.1278065943278	-2.12780659432782
122	31	34.3690386113327	-3.36903861133268
123	38	34.7638540718662	3.23614592813384
124	37	35.357346222093	1.642653777907
125	33	32.5974990941124	0.40250090588763
126	31	34.2661397469868	-3.26613974698684
127	39	35.1723964543839	3.82760354561609
128	44	38.5891571566772	5.41084284332276
129	33	35.6360074598161	-2.63600745981613
130	35	32.8731819485296	2.12681805147038
131	32	34.9831224803145	-2.98312248031449
132	28	31.7716896159572	-3.77168961595715
133	40	37.2566995662038	2.7433004337962
134	27	34.0425710173546	-7.04257101735458
135	37	34.220315853159	2.77968414684104
136	32	32.1284210367983	-0.128421036798321
137	28	28.2245478953925	-0.224547895392536
138	34	34.3956220796437	-0.395622079643733
139	30	33.4294610419875	-3.42946104198748
140	35	34.9718109816164	0.0281890183836474
141	31	32.4997407969558	-1.49974079695577
142	32	34.2009097724249	-2.20090977242489
143	30	35.6375809643267	-5.63758096432673
144	30	35.635699900958	-5.63569990095799
145	31	31.9925591129686	-0.992559112968613
146	40	34.8137575101648	5.1862424898352
147	32	31.5910888747361	0.408911125263947
148	36	33.0880845432275	2.91191545677246
149	32	32.8840882054702	-0.88408820547024
150	35	32.9146453980279	2.08535460197213
151	38	36.0852156180026	1.91478438199739
152	42	36.9668163933015	5.03318360669852
153	34	36.3876187255298	-2.38761872552984
154	35	36.5170641392601	-1.51706413926013
155	35	34.4697938077708	0.530206192229169
156	33	32.1511435288319	0.848856471168075
157	36	34.3296488869408	1.67035111305922
158	32	37.3218450365296	-5.32184503652956
159	33	34.4324472587011	-1.43244725870114
160	34	33.6083453358468	0.391654664153157
161	32	33.6827288969893	-1.68272889698934
162	34	34.4748026275451	-0.474802627545076

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
22	0.326847437167417	0.653694874334835	0.673152562832583
23	0.250319150876034	0.500638301752069	0.749680849123966
24	0.155387347196846	0.310774694393691	0.844612652803154
25	0.0908245976486073	0.181649195297215	0.909175402351393
26	0.0670686491601004	0.134137298320201	0.9329313508399
27	0.0344414948336381	0.0688829896672762	0.965558505166362
28	0.0241358525643925	0.048271705128785	0.975864147435608
29	0.0223544698609382	0.0447089397218765	0.977645530139062
30	0.0112760248602257	0.0225520497204514	0.988723975139774
31	0.0857787489985184	0.171557497997037	0.914221251001482
32	0.207186187193913	0.414372374387827	0.792813812806087
33	0.21794089677895	0.435881793557901	0.78205910322105
34	0.162703099980206	0.325406199960413	0.837296900019794
35	0.159774981271037	0.319549962542074	0.840225018728963
36	0.117329936958511	0.234659873917022	0.882670063041489
37	0.255100742478866	0.510201484957732	0.744899257521134
38	0.216864963999822	0.433729927999644	0.783135036000178
39	0.192400740568474	0.384801481136948	0.807599259431526
40	0.171415108500895	0.34283021700179	0.828584891499105
41	0.155476280760121	0.310952561520241	0.84452371923988
42	0.118003996382694	0.236007992765389	0.881996003617306
43	0.0987807380645132	0.197561476129026	0.901219261935487
44	0.120183491964129	0.240366983928257	0.879816508035871
45	0.224252051407175	0.448504102814351	0.775747948592825
46	0.273390682078452	0.546781364156904	0.726609317921548
47	0.23524572011084	0.470491440221681	0.76475427988916
48	0.208033665385713	0.416067330771426	0.791966334614287
49	0.201436756449231	0.402873512898462	0.798563243550769
50	0.176094665661401	0.352189331322803	0.823905334338599
51	0.152563448259385	0.305126896518771	0.847436551740615
52	0.12284953054216	0.245699061084321	0.87715046945784
53	0.0990894732556932	0.198178946511386	0.900910526744307
54	0.0795894648932684	0.159178929786537	0.920410535106732
55	0.0655473421964833	0.131094684392967	0.934452657803517
56	0.0896751256632707	0.179350251326541	0.91032487433673
57	0.102092179443632	0.204184358887264	0.897907820556368
58	0.177172454156113	0.354344908312226	0.822827545843887
59	0.153877962429723	0.307755924859446	0.846122037570277
60	0.124823571934175	0.24964714386835	0.875176428065825
61	0.112507460063028	0.225014920126056	0.887492539936972
62	0.0974781168696555	0.194956233739311	0.902521883130345
63	0.0836266596109077	0.167253319221815	0.916373340389092
64	0.072864451353205	0.14572890270641	0.927135548646795
65	0.0602965156579378	0.120593031315876	0.939703484342062
66	0.0514832677850799	0.10296653557016	0.94851673221492
67	0.0411617608712536	0.0823235217425072	0.958838239128746
68	0.0500401479882315	0.100080295976463	0.949959852011768
69	0.05446199278755	0.1089239855751	0.94553800721245
70	0.0419633396727216	0.0839266793454432	0.958036660327278
71	0.0472244046001379	0.0944488092002758	0.952775595399862
72	0.0626738885854131	0.125347777170826	0.937326111414587
73	0.0952564564091122	0.190512912818224	0.904743543590888
74	0.0920986092418096	0.184197218483619	0.90790139075819
75	0.102577739049497	0.205155478098995	0.897422260950503
76	0.180555337860995	0.36111067572199	0.819444662139005
77	0.158682533628948	0.317365067257895	0.841317466371053
78	0.131347296862661	0.262694593725321	0.86865270313734
79	0.210261315735153	0.420522631470306	0.789738684264847
80	0.279480012833392	0.558960025666783	0.720519987166608
81	0.293544313370602	0.587088626741205	0.706455686629398
82	0.259894533497643	0.519789066995286	0.740105466502357
83	0.246588525492115	0.49317705098423	0.753411474507885
84	0.249402366310392	0.498804732620783	0.750597633689608
85	0.274521648037126	0.549043296074252	0.725478351962874
86	0.290963982144808	0.581927964289616	0.709036017855192
87	0.301978163122896	0.603956326245791	0.698021836877104
88	0.260338448640708	0.520676897281415	0.739661551359292
89	0.284762551324686	0.569525102649372	0.715237448675314
90	0.244401853018944	0.488803706037888	0.755598146981056
91	0.284207478036057	0.568414956072113	0.715792521963943
92	0.258645246944719	0.517290493889439	0.74135475305528
93	0.238056990212599	0.476113980425198	0.761943009787401
94	0.203715632144121	0.407431264288242	0.796284367855879
95	0.229067272187953	0.458134544375906	0.770932727812047
96	0.24281916803969	0.48563833607938	0.75718083196031
97	0.20968139500605	0.4193627900121	0.79031860499395
98	0.1904660761725	0.380932152345	0.8095339238275
99	0.192997677540483	0.385995355080966	0.807002322459517
100	0.179211237438442	0.358422474876884	0.820788762561558
101	0.187580948674577	0.375161897349155	0.812419051325423
102	0.169672801790336	0.339345603580672	0.830327198209664
103	0.147191074106401	0.294382148212802	0.852808925893599
104	0.122203075153975	0.244406150307951	0.877796924846025
105	0.126162682690708	0.252325365381416	0.873837317309292
106	0.297606521978264	0.595213043956527	0.702393478021736
107	0.30346512652011	0.60693025304022	0.69653487347989
108	0.391870877060098	0.783741754120197	0.608129122939902
109	0.340905085690387	0.681810171380773	0.659094914309613
110	0.573207207276453	0.853585585447094	0.426792792723547
111	0.629147826402546	0.741704347194908	0.370852173597454
112	0.625831929102238	0.748336141795524	0.374168070897762
113	0.689674152661655	0.62065169467669	0.310325847338345
114	0.640861060016919	0.718277879966163	0.359138939983081
115	0.618367989793699	0.763264020412602	0.381632010206301
116	0.624956173754072	0.750087652491855	0.375043826245928
117	0.592458005118803	0.815083989762394	0.407541994881197
118	0.559084102372514	0.881831795254972	0.440915897627486
119	0.51050635333506	0.97898729332988	0.48949364666494
120	0.555303079849237	0.889393840301526	0.444696920150763
121	0.538721395576951	0.922557208846097	0.461278604423049
122	0.504557389222172	0.990885221555656	0.495442610777828
123	0.461091293217445	0.922182586434891	0.538908706782555
124	0.410648271129569	0.821296542259139	0.589351728870431
125	0.360130445022105	0.72026089004421	0.639869554977895
126	0.367949830816903	0.735899661633806	0.632050169183097
127	0.414324722557523	0.828649445115046	0.585675277442477
128	0.53036637253745	0.9392672549251	0.46963362746255
129	0.46136484540554	0.92272969081108	0.53863515459446
130	0.391303160666256	0.782606321332512	0.608696839333744
131	0.336823556013628	0.673647112027256	0.663176443986372
132	0.298477056869146	0.596954113738292	0.701522943130854
133	0.250713605460284	0.501427210920567	0.749286394539716
134	0.418229879467026	0.836459758934051	0.581770120532974
135	0.33770903545133	0.67541807090266	0.66229096454867
136	0.392496804615186	0.784993609230372	0.607503195384814
137	0.291337193349506	0.582674386699012	0.708662806650494
138	0.195212148989476	0.390424297978953	0.804787851010524
139	0.418170197806191	0.836340395612382	0.581829802193809
140	0.596102596062701	0.807794807874599	0.403897403937299

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	3	0.0252100840336134	OK
10% type I error level	7	0.0588235294117647	OK