Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 18.646799329877 + 0.342546856180977Separate[t] + 0.300042917488464Learning[t] -0.149104202235988Software[t] + 0.0222601861825917Happiness[t] -0.0100150122535526Depression[t] + 0.047025961909131Belonging[t] -0.0327808023550451Belonging_Final[t] -0.00779785476410572t + 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)	18.646799329877	4.187023	4.4535	1.6e-05	8e-06
Separate	0.342546856180977	0.070524	4.8571	3e-06	1e-06
Learning	0.300042917488464	0.134014	2.2389	0.026605	0.013303
Software	-0.149104202235988	0.136957	-1.0887	0.278002	0.139001
Happiness	0.0222601861825917	0.128935	0.1726	0.863158	0.431579
Depression	-0.0100150122535526	0.095599	-0.1048	0.916703	0.458351
Belonging	0.047025961909131	0.075435	0.6234	0.533951	0.266976
Belonging_Final	-0.0327808023550451	0.107857	-0.3039	0.761595	0.380798
t	-0.00779785476410572	0.005477	-1.4238	0.156537	0.078268

Multiple Linear Regression - Regression Statistics
Multiple R	0.439391781523899
R-squared	0.193065137670746
Adjusted R-squared	0.150872465130654
F-TEST (value)	4.57579778781006
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	5.11089487551519e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.11011783702619
Sum Squared Residuals	1479.94344290884

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.4019422758444	5.59805772415559
2	39	35.4161734939351	3.58382650606486
3	30	35.9083697942094	-5.90836979420938
4	31	35.4793413522072	-4.47934135220724
5	34	35.756193868882	-1.75619386888201
6	35	33.351217458	1.64878254200004
7	39	34.4935305246129	4.5064694753871
8	34	35.6865833544029	-1.68658335440292
9	36	35.2156467668429	0.784353233157112
10	37	37.4286028938736	-0.42860289387362
11	38	34.8766848445303	3.12331515546967
12	36	35.0117133406619	0.988286659338085
13	38	35.3923258642839	2.60767413571611
14	39	36.3885386260245	2.61146137397549
15	33	36.7226411409037	-3.72264114090375
16	32	34.2563025840732	-2.25630258407317
17	36	34.7085804088599	1.29141959114012
18	38	38.3712057530837	-0.371205753083706
19	39	37.1531880640809	1.84681193591912
20	32	34.1901166490338	-2.19011664903384
21	32	35.0379099439801	-3.03790994398015
22	31	33.9656973023182	-2.96569730231822
23	39	36.8957879332829	2.10421206671711
24	37	36.5269949042321	0.473005095767857
25	39	35.7800331677835	3.21996683221649
26	41	34.8995152794423	6.10048472055774
27	36	36.1454383229953	-0.145438322995281
28	33	35.4797314970624	-2.47973149706236
29	33	35.1227255927981	-2.12272559279806
30	34	34.2495197964068	-0.249519796406796
31	31	33.1296166467249	-2.12961664672494
32	27	33.3632414691375	-6.36324146913753
33	37	33.9255233236003	3.0744766763997
34	34	36.4710973307215	-2.47109733072148
35	34	33.3462054461931	0.653794553806857
36	32	32.8992246919281	-0.899224691928128
37	29	32.8328225503949	-3.83282255039494
38	36	34.2088689607975	1.79113103920254
39	29	34.6156094324731	-5.61560943247311
40	35	35.0058060213969	-0.00580602139685898
41	37	34.846784097551	2.15321590244897
42	34	34.335230748698	-0.335230748698004
43	38	34.7709646353108	3.2290353646892
44	35	33.873356005617	1.12664399438302
45	38	32.6217214332584	5.37827856674163
46	37	33.789659846935	3.210340153065
47	38	35.7927544680763	2.20724553192375
48	33	35.0223608418868	-2.02236084188677
49	36	36.7733509001971	-0.773350900197061
50	38	33.860784730262	4.13921526973798
51	32	36.1786439305177	-4.1786439305177
52	32	33.2382151787679	-1.23821517876794
53	32	33.1631616049645	-1.16316160496449
54	34	35.6394325509154	-1.6394325509154
55	32	33.0737657767543	-1.07376577675433
56	37	34.724592532404	2.27540746759601
57	39	35.0911038663837	3.9088961336163
58	29	34.8702665481524	-5.87026654815243
59	37	35.5692030887962	1.43079691120378
60	35	35.1343056943995	-0.134305694399452
61	30	31.7403993067557	-1.74039930675574
62	38	35.1364269319963	2.86357306800366
63	34	35.1284471565761	-1.12844715657605
64	31	34.297908792826	-3.29790879282601
65	34	33.4316706636233	0.568329336376746
66	35	36.2370039267483	-1.23700392674831
67	36	35.2283233372935	0.771676662706513
68	30	33.3617610229589	-3.36176102295885
69	39	35.5425589256487	3.45744107435128
70	35	35.8483097220766	-0.84830972207659
71	38	34.1222656126873	3.87773438731271
72	31	35.3261622024759	-4.3261622024759
73	34	37.189529041684	-3.18952904168403
74	38	37.5948048119733	0.405195188026675
75	34	32.8125195606384	1.18748043936163
76	39	34.3220144691211	4.67798553087886
77	37	35.7134010806647	1.28659891933532
78	34	33.7396229352779	0.260377064722058
79	28	33.0450378353998	-5.04503783539976
80	37	31.9400550940868	5.05994490591321
81	33	35.7891679099222	-2.78916790992224
82	37	36.9025554106947	0.0974445893052583
83	35	35.7927221881641	-0.792722188164105
84	37	34.2665226691379	2.73347733086208
85	32	34.648308922344	-2.64830892234401
86	33	34.1665298228058	-1.1665298228058
87	38	36.441895051823	1.55810494817701
88	33	34.6780776061043	-1.67807760610427
89	29	33.5225186085934	-4.5225186085934
90	33	33.778165856647	-0.778165856647038
91	31	34.7006648754386	-3.70066487543858
92	36	33.3518553550816	2.64814464491841
93	35	37.2942459853325	-2.29424598533248
94	32	32.6605740768731	-0.660574076873088
95	29	32.704327853116	-3.70432785311596
96	39	36.0069138386693	2.99308616133069
97	37	34.6839783434379	2.31602165656213
98	35	34.3218965566438	0.678103443356201
99	37	35.0367235032797	1.96327649672026
100	32	35.2080683654254	-3.20806836542544
101	38	35.2812407114145	2.71875928858546
102	37	35.0657397170158	1.93426028298425
103	36	36.8107371557923	-0.810737155792331
104	32	32.1492486455186	-0.149248645518629
105	33	36.6959083027398	-3.69590830273981
106	40	32.7568425792811	7.24315742071889
107	38	35.3923212454631	2.60767875453687
108	41	36.2783260503586	4.72167394964136
109	36	34.4765257255424	1.52347427445757
110	43	35.8948006045454	7.10519939545462
111	30	34.8828289965387	-4.88282899653871
112	31	33.9229164406399	-2.92291644063991
113	32	37.7852040217218	-5.78520402172178
114	32	32.9101169928898	-0.910116992889824
115	37	33.8198907283106	3.1801092716894
116	37	34.7290285165103	2.27097148348969
117	33	35.3276386858695	-2.32763868586949
118	34	36.4672034191795	-2.46720341917947
119	33	34.0579114511292	-1.05791145112923
120	38	35.6449896987303	2.35501030126965
121	33	34.2124368006349	-1.21243680063491
122	31	32.0440468480585	-1.04404684805848
123	38	35.7971830261583	2.20281697384171
124	37	35.6969318116339	1.30306818836611
125	33	33.0348059305725	-0.03480593057251
126	31	33.8860100955664	-2.88601009556636
127	39	34.3552684219639	4.64473157803614
128	44	36.7844236040598	7.21557639594018
129	33	35.515767622528	-2.51576762252798
130	35	33.0447148370593	1.95528516294067
131	32	34.3802381494279	-2.38023814942795
132	28	31.7317876714682	-3.73178767146819
133	40	36.238606215749	3.76139378425104
134	27	31.7677943010091	-4.76779430100913
135	37	35.2079468082463	1.79205319175365
136	32	32.5662424058051	-0.566242405805134
137	28	29.1452964019555	-1.14529640195553
138	34	34.1776072128656	-0.177607212865595
139	30	32.8381632666319	-2.83816326663188
140	35	33.5315412909614	1.46845870903855
141	31	32.6648280427604	-1.66482804276035
142	32	34.4853382610347	-2.48533826103465
143	30	34.8313178385976	-4.8313178385976
144	30	34.8755274328255	-4.87552743282555
145	31	30.8820333408309	0.117966659169051
146	40	32.5632249574422	7.43677504255785
147	32	32.48095590845	-0.48095590845001
148	36	33.6262652615912	2.37373473840884
149	32	33.2912950988739	-1.29129509887387
150	35	32.9322753741389	2.06772462586115
151	38	35.2811574801254	2.71884251987456
152	42	34.9915287098857	7.00847129011429
153	34	36.1901152131684	-2.19011521316842
154	35	36.8017745946462	-1.80177459464623
155	35	33.9377654918333	1.06223450816666
156	33	31.9621983938982	1.03780160610181
157	36	32.8449947954147	3.15500520458529
158	32	35.1015539752482	-3.10155397524819
159	33	35.2818319796048	-2.28183197960481
160	34	33.9987896109823	0.00121038901768139
161	32	34.1861587674057	-2.18615876740573
162	34	34.288974677784	-0.288974677783981

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.373738493147379	0.747476986294758	0.626261506852621
13	0.954148187452009	0.0917036250959811	0.0458518125479906
14	0.920748743025762	0.158502513948476	0.0792512569742379
15	0.893382942038578	0.213234115922844	0.106617057961422
16	0.897454490910041	0.205091018179917	0.102545509089959
17	0.871452844445703	0.257094311108594	0.128547155554297
18	0.844264107757167	0.311471784485666	0.155735892242833
19	0.80190301782216	0.39619396435568	0.19809698217784
20	0.814206023192674	0.371587953614652	0.185793976807326
21	0.815196779859179	0.369606440281642	0.184803220140821
22	0.763246760544339	0.473506478911322	0.236753239455661
23	0.737041858955432	0.525916282089136	0.262958141044568
24	0.674953637735168	0.650092724529665	0.325046362264832
25	0.686224341615686	0.627551316768628	0.313775658384314
26	0.813293001459022	0.373413997081956	0.186706998540978
27	0.810122358986721	0.379755282026558	0.189877641013279
28	0.76842269033482	0.463154619330361	0.23157730966518
29	0.76488267370035	0.470234652599301	0.23511732629965
30	0.714099261789864	0.571801476420272	0.285900738210136
31	0.669498174079559	0.661003651840881	0.330501825920441
32	0.779211252016139	0.441577495967721	0.220788747983861
33	0.801214695213326	0.397570609573348	0.198785304786674
34	0.760752520819061	0.478494958361878	0.239247479180939
35	0.714140360461337	0.571719279077327	0.285859639538663
36	0.673879401947057	0.652241196105886	0.326120598052943
37	0.654668430497092	0.690663139005816	0.345331569502908
38	0.63757973357837	0.724840532843259	0.36242026642163
39	0.720791471558198	0.558417056883604	0.279208528441802
40	0.673370078122087	0.653259843755826	0.326629921877913
41	0.656646137749825	0.68670772450035	0.343353862250175
42	0.607505046389122	0.784989907221756	0.392494953610878
43	0.585406763933558	0.829186472132884	0.414593236066442
44	0.540912523886537	0.918174952226927	0.459087476113463
45	0.645399839741384	0.709200320517233	0.354600160258616
46	0.658440592302923	0.683118815394155	0.341559407697077
47	0.64699263322438	0.70601473355124	0.35300736677562
48	0.612401808415588	0.775196383168825	0.387598191584412
49	0.562952228559044	0.874095542881912	0.437047771440956
50	0.592148769730108	0.815702460539784	0.407851230269892
51	0.625978766622598	0.748042466754803	0.374021233377402
52	0.581995437586335	0.83600912482733	0.418004562413665
53	0.535157854007635	0.92968429198473	0.464842145992365
54	0.488003699314149	0.976007398628299	0.511996300685851
55	0.440853195050793	0.881706390101585	0.559146804949208
56	0.439509229528882	0.879018459057764	0.560490770471118
57	0.474491477845651	0.948982955691302	0.525508522154349
58	0.597235776191538	0.805528447616924	0.402764223808462
59	0.558051298651783	0.883897402696434	0.441948701348217
60	0.50887019432097	0.982259611358059	0.49112980567903
61	0.470694668471962	0.941389336943923	0.529305331528038
62	0.457889138602982	0.915778277205965	0.542110861397018
63	0.41987887042525	0.8397577408505	0.58012112957475
64	0.41769556767702	0.83539113535404	0.58230443232298
65	0.372280711757964	0.744561423515927	0.627719288242036
66	0.332385526407162	0.664771052814324	0.667614473592838
67	0.29588326095842	0.59176652191684	0.70411673904158
68	0.318458415853948	0.636916831707895	0.681541584146052
69	0.339618108644873	0.679236217289747	0.660381891355127
70	0.298352899008795	0.596705798017589	0.701647100991205
71	0.337336802721013	0.674673605442025	0.662663197278987
72	0.367114037647494	0.734228075294987	0.632885962352506
73	0.359855127397545	0.71971025479509	0.640144872602455
74	0.317733619040495	0.63546723808099	0.682266380959505
75	0.284656353266507	0.569312706533013	0.715343646733493
76	0.350710844238992	0.701421688477983	0.649289155761008
77	0.315849396338214	0.631698792676428	0.684150603661786
78	0.275422347973336	0.550844695946672	0.724577652026664
79	0.331907685844692	0.663815371689384	0.668092314155308
80	0.410436808332514	0.820873616665027	0.589563191667486
81	0.394996370239436	0.789992740478871	0.605003629760565
82	0.350481011934087	0.700962023868174	0.649518988065913
83	0.308800099921288	0.617600199842576	0.691199900078712
84	0.301845698817884	0.603691397635768	0.698154301182116
85	0.283807873407142	0.567615746814284	0.716192126592858
86	0.247848681170804	0.495697362341608	0.752151318829196
87	0.225423222445502	0.450846444891004	0.774576777554498
88	0.1979871342652	0.3959742685304	0.8020128657348
89	0.227006771768102	0.454013543536205	0.772993228231898
90	0.196233225137302	0.392466450274604	0.803766774862698
91	0.210445569504398	0.420891139008797	0.789554430495602
92	0.199246054955172	0.398492109910343	0.800753945044828
93	0.18743294824756	0.37486589649512	0.81256705175244
94	0.159184269619253	0.318368539238506	0.840815730380747
95	0.169570697919455	0.33914139583891	0.830429302080545
96	0.166736716980866	0.333473433961731	0.833263283019134
97	0.152990654906069	0.305981309812138	0.847009345093931
98	0.127696490877153	0.255392981754306	0.872303509122847
99	0.112101356556167	0.224202713112334	0.887898643443833
100	0.113642718467799	0.227285436935599	0.886357281532201
101	0.10553843513277	0.21107687026554	0.89446156486723
102	0.0917780033362664	0.183556006672533	0.908221996663734
103	0.0745889278179197	0.149177855635839	0.92541107218208
104	0.0590116254796171	0.118023250959234	0.940988374520383
105	0.0711116618334754	0.142223323666951	0.928888338166524
106	0.165447431615498	0.330894863230995	0.834552568384502
107	0.154134258579441	0.308268517158881	0.845865741420559
108	0.179265957113018	0.358531914226036	0.820734042886982
109	0.167092042739506	0.334184085479012	0.832907957260494
110	0.401080277280543	0.802160554561087	0.598919722719457
111	0.453530386509383	0.907060773018765	0.546469613490617
112	0.427434113437945	0.854868226875889	0.572565886562055
113	0.536342808974382	0.927314382051237	0.463657191025618
114	0.487505934411417	0.975011868822834	0.512494065588583
115	0.477596477633911	0.955192955267821	0.522403522366089
116	0.446217695447326	0.892435390894651	0.553782304552674
117	0.41267833572101	0.825356671442019	0.58732166427899
118	0.383912904423135	0.76782580884627	0.616087095576865
119	0.338233606278824	0.676467212557648	0.661766393721176
120	0.304303238619979	0.608606477239959	0.695696761380021
121	0.260209317946669	0.520418635893337	0.739790682053331
122	0.219747208390859	0.439494416781718	0.780252791609141
123	0.188114880491135	0.37622976098227	0.811885119508865
124	0.154459537841772	0.308919075683543	0.845540462158228
125	0.122518322809218	0.245036645618435	0.877481677190783
126	0.131486047621808	0.262972095243616	0.868513952378192
127	0.146872679632724	0.293745359265449	0.853127320367276
128	0.334791228152746	0.669582456305493	0.665208771847253
129	0.29455412967966	0.58910825935932	0.70544587032034
130	0.265960587262865	0.531921174525729	0.734039412737135
131	0.226619827898933	0.453239655797866	0.773380172101067
132	0.254111499801712	0.508222999603424	0.745888500198288
133	0.368438715187836	0.736877430375673	0.631561284812164
134	0.453787163594564	0.907574327189127	0.546212836405436
135	0.42123042814713	0.842460856294261	0.57876957185287
136	0.352354678025855	0.704709356051711	0.647645321974145
137	0.29665248323466	0.59330496646932	0.70334751676534
138	0.251735324248185	0.503470648496369	0.748264675751815
139	0.261504431488861	0.523008862977722	0.738495568511139
140	0.21950697266561	0.43901394533122	0.78049302733439
141	0.408897794027327	0.817795588054654	0.591102205972673
142	0.338094218631402	0.676188437262804	0.661905781368598
143	0.363877181196632	0.727754362393264	0.636122818803368
144	0.776195643524592	0.447608712950817	0.223804356475408
145	0.686375437136563	0.627249125726875	0.313624562863437
146	0.945097942791499	0.109804114417003	0.0549020572085014
147	0.89633998233474	0.20732003533052	0.10366001766526
148	0.921856148086889	0.156287703826222	0.0781438519131109
149	0.987314137324609	0.025371725350782	0.012685862675391
150	0.994166822232153	0.0116663555356947	0.00583317776784737

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	2	0.0143884892086331	OK
10% type I error level	3	0.0215827338129496	OK