Multiple Linear Regression - Estimated Regression Equation

Software[t] = + 3.26166669547301 + 0.147083088454563Month[t] -0.0453946858294687Connected[t] + 0.0306926204872215Separate[t] + 0.529196646395567Learning[t] -0.040478334179682Happines[t] -0.0263389868788488Depression[t] + 0.000182229060028198Belonging[t] -0.00250539691115257Belonging_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)	3.26166669547301	3.649078	0.8938	0.372815	0.186407
Month	0.147083088454563	0.303804	0.4841	0.62898	0.31449
Connected	-0.0453946858294687	0.047351	-0.9587	0.339227	0.169614
Separate	0.0306926204872215	0.044695	0.6867	0.493308	0.246654
Learning	0.529196646395567	0.06735	7.8574	0	0
Happines	-0.040478334179682	0.075655	-0.535	0.593398	0.296699
Depression	-0.0263389868788488	0.056585	-0.4655	0.642249	0.321125
Belonging	0.000182229060028198	0.044818	0.0041	0.996761	0.498381
Belonging_Final	-0.00250539691115257	0.063891	-0.0392	0.968771	0.484386

Multiple Linear Regression - Regression Statistics
Multiple R	0.552797073768428
R-squared	0.305584604766937
Adjusted R-squared	0.269275303055405
F-TEST (value)	8.41615207019739
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	1.92469518101035e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83079283761049
Sum Squared Residuals	512.825769379617

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	9.81682927217552	2.18317072782448
2	11	11.133889527927	-0.133889527926988
3	15	13.4453448706616	1.55465512933839
4	6	11.2366656238246	-5.23666562382462
5	13	10.2842042602457	2.71579573975434
6	10	9.61802523888203	0.381974761117967
7	12	12.5920333254531	-0.592033325453062
8	14	11.1202675488085	2.87973245119149
9	12	10.4643777762504	1.5356222237496
10	6	10.9565943019394	-4.95659430193936
11	10	11.2191441047299	-1.21914410472987
12	12	11.4092632673265	0.590736732673456
13	12	11.5089190212	0.491080978799982
14	11	11.359250773053	-0.359250773052977
15	15	12.110427813852	2.88957218614796
16	12	11.0685232188936	0.931476781106397
17	10	10.8368011769086	-0.836801176908613
18	12	13.5135531238283	-1.51355312382833
19	11	12.5857357970299	-1.58573579702993
20	12	11.5122273342614	0.487772665738596
21	11	11.6091102846468	-0.609110284646846
22	12	11.6849434279943	0.315056572005697
23	13	13.0804753543567	-0.0804753543567389
24	11	11.6329889723933	-0.63298897239331
25	9	11.7010591115911	-2.70105911159108
26	13	11.9982079973229	1.00179200267711
27	10	11.4613289999254	-1.46132899992536
28	14	11.1015213725053	2.89847862749474
29	12	11.4929428542802	0.50705714571979
30	10	10.577908076508	-0.577908076508027
31	12	10.9826319477975	1.01736805220252
32	8	9.6981407101612	-1.6981407101612
33	10	10.2197200467549	-0.219720046754897
34	12	11.627880413196	0.372119586804031
35	12	10.3706816097498	1.62931839025018
36	7	6.89435310313394	0.105646896866055
37	6	8.54010230144404	-2.54010230144404
38	12	10.3547786681605	1.64522133183952
39	10	11.6346657807485	-1.63466578074846
40	10	11.5943422276892	-1.59434222768924
41	10	11.4116375086292	-1.41163750862924
42	12	10.350635251211	1.64936474878901
43	15	13.4953102428145	1.50468975718552
44	10	10.4955327935646	-0.495532793564588
45	10	10.2604411222744	-0.260441122274422
46	12	8.925723137512	3.074276862488
47	13	10.5260686057012	2.47393139429876
48	11	11.0704037049172	-0.0704037049171738
49	11	11.409713518483	-0.409713518483043
50	12	10.3363104536703	1.66368954632966
51	14	11.7580902784325	2.24190972156752
52	10	10.438867184932	-0.438867184932015
53	12	9.49541808311954	2.50458191688046
54	13	11.7170252115543	1.28297478844571
55	5	8.02353549432903	-3.02353549432903
56	6	10.2695809194993	-4.26958091949932
57	12	11.2363990962497	0.763600903750327
58	12	11.8424208235527	0.157579176447303
59	11	11.105135924605	-0.105135924605038
60	10	11.5314950801108	-1.53149508011077
61	7	9.5122060750792	-2.5122060750792
62	12	11.4301144586771	0.569885541322879
63	14	11.7233424908416	2.27665750915842
64	11	10.6575401094975	0.342459890502458
65	12	11.4381931798483	0.561806820151699
66	13	12.4729552014307	0.527044798569309
67	14	12.7118462371072	1.28815376289276
68	11	12.8336709887322	-1.8336709887322
69	12	9.50686291494274	2.49313708505726
70	12	11.6778831822179	0.322116817782075
71	8	8.39726869498507	-0.397268694985067
72	11	10.7847590684733	0.215240931526693
73	14	12.8565497559452	1.14345024405476
74	14	12.8332296408072	1.16677035919276
75	12	11.5590155527823	0.440984447217708
76	9	11.7848595513121	-2.78485955131211
77	13	11.5301529612273	1.46984703877265
78	11	11.5360510590246	-0.536051059024577
79	12	10.2391701557175	1.76082984428251
80	12	11.5126343447403	0.487365655259669
81	12	11.8087975969819	0.191202403018141
82	12	13.8975703668915	-1.8975703668915
83	12	11.8024263839988	0.197573616001232
84	12	10.9455498411215	1.05445015887849
85	11	11.2410065989646	-0.241006598964577
86	10	11.6402649999365	-1.64026499993653
87	9	10.5646072434184	-1.56460724341839
88	12	11.7697510003526	0.230248999647422
89	12	11.8712210125391	0.128778987460905
90	12	11.227497036088	0.772502963912049
91	9	9.6480723665813	-0.648072366581299
92	15	12.0826548581284	2.91734514187162
93	12	11.8184288958813	0.181571104118724
94	12	11.0101129525401	0.989887047459944
95	12	10.3236031655768	1.67639683442321
96	10	11.4936279799742	-1.49362797997424
97	13	11.5919602014547	1.40803979854526
98	9	11.6048412280065	-2.60484122800647
99	12	11.4802306086279	0.519769391372071
100	10	10.821591289719	-0.821591289718959
101	14	11.5291651960851	2.47083480391493
102	11	11.5876783238725	-0.587678323872548
103	15	13.7393364173977	1.26066358260234
104	11	11.249020619101	-0.249020619100961
105	11	11.7666751271381	-0.766675127138127
106	12	9.82335494998275	2.17664505001725
107	12	12.0367977754719	-0.0367977754719416
108	12	11.4120813956668	0.587918604333238
109	11	11.7669710757335	-0.766971075733525
110	7	9.31627750909912	-2.31627750909912
111	12	11.7976099493059	0.202390050694097
112	14	11.8681661449046	2.13183385509537
113	11	12.5969001893422	-1.59690018934225
114	11	10.1898643692564	0.810135630743566
115	10	9.29822095359814	0.701779046401857
116	13	12.5324401422475	0.467559857752472
117	13	10.862650593027	2.13734940697297
118	8	10.8189511930142	-2.81895119301418
119	11	10.2918706422896	0.708129357710355
120	12	11.4964025019587	0.50359749804126
121	11	10.2959937666503	0.70400623334969
122	13	11.5842680706189	1.41573192938115
123	12	10.0680912054205	1.93190879457946
124	14	11.7645689711837	2.23543102881626
125	13	11.1275498707012	1.87245012929883
126	15	11.8859603786273	3.11403962137266
127	10	10.8619785933977	-0.861978593397714
128	11	11.8802125277566	-0.880212527756584
129	9	11.1005142936096	-2.10051429360955
130	11	9.4602009949234	1.5397990050766
131	10	11.8516348448734	-1.85163484487341
132	11	8.75630319266192	2.24369680733808
133	8	11.5477019454216	-3.54770194542159
134	11	9.6873486305642	1.3126513694358
135	12	10.6029606696683	1.3970393303317
136	12	10.973660906991	1.026339093009
137	9	9.89234432763822	-0.892344327638222
138	11	11.1720809404969	-0.172080940496897
139	10	9.32152784385167	0.678472156148332
140	8	9.5521353443327	-1.5521353443327
141	9	7.70064355242504	1.29935644757496
142	8	11.84716046206	-3.84716046206001
143	9	11.2232886330284	-2.22328863302841
144	15	12.4413628527216	2.55863714727843
145	11	11.473879457308	-0.473879457308012
146	8	8.1011871995863	-0.101187199586297
147	13	12.5664825860677	0.4335174139323
148	12	10.2108397864165	1.78916021358353
149	12	11.8214352666742	0.178564733325847
150	9	10.0387125398745	-1.03871253987447
151	7	8.41546042584635	-1.41546042584635
152	13	10.8221587487834	2.17784125121659
153	9	11.8480569437804	-2.84805694378039
154	6	11.9089172928469	-5.90891729284689
155	8	10.4889986132833	-2.48899861328326
156	8	8.36402916276398	-0.364029162763983
157	15	12.0826548581284	2.91734514187162
158	6	10.2644502377882	-4.26445023778816
159	9	11.1005142936096	-2.10051429360955
160	11	11.7626512320649	-0.762651232064944
161	8	9.63466472878448	-1.63466472878448
162	8	10.1232524153305	-2.12325241533053

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.999906011116357	0.000187977767286956	9.39888836434778e-05
13	0.999738228646499	0.000523542707002481	0.000261771353501241
14	0.999523204163653	0.000953591672694251	0.000476795836347126
15	0.999425804600005	0.00114839079999002	0.000574195399995009
16	0.998892632202301	0.00221473559539747	0.00110736779769873
17	0.997824190340568	0.00435161931886317	0.00217580965943158
18	0.997166468062394	0.00566706387521253	0.00283353193760627
19	0.995283487239994	0.00943302552001254	0.00471651276000627
20	0.991689196807161	0.0166216063856774	0.00831080319283869
21	0.986633304585874	0.0267333908282523	0.0133666954141262
22	0.980298472116287	0.0394030557674255	0.0197015278837127
23	0.969786311613571	0.0604273767728583	0.0302136883864292
24	0.955801060030823	0.0883978799383539	0.0441989399691769
25	0.953481539026463	0.0930369219470732	0.0465184609735366
26	0.956285587617335	0.0874288247653297	0.0437144123826648
27	0.956125246664649	0.0877495066707016	0.0438747533353508
28	0.961471332040163	0.0770573359196741	0.0385286679598371
29	0.945959025325276	0.108081949349449	0.0540409746747243
30	0.928369414022141	0.143261171955718	0.0716305859778592
31	0.913797091116219	0.172405817767562	0.0862029088837812
32	0.927396463439682	0.145207073120636	0.0726035365603179
33	0.903816115702082	0.192367768595837	0.0961838842979183
34	0.875350981071603	0.249298037856794	0.124649018928397
35	0.862921541847026	0.274156916305948	0.137078458152974
36	0.828870952683345	0.34225809463331	0.171129047316655
37	0.864445688901851	0.271108622196297	0.135554311098149
38	0.856451719202525	0.287096561594951	0.143548280797475
39	0.845621996961549	0.308756006076902	0.154378003038451
40	0.827914461288637	0.344171077422726	0.172085538711363
41	0.804980765905717	0.390038468188567	0.195019234094283
42	0.789308709242765	0.42138258151447	0.210691290757235
43	0.787157057566282	0.425685884867436	0.212842942433718
44	0.747258306654019	0.505483386691962	0.252741693345981
45	0.70504738488512	0.58990523022976	0.29495261511488
46	0.764195548543416	0.471608902913168	0.235804451456584
47	0.775132257372917	0.449735485254165	0.224867742627083
48	0.733637771795377	0.532724456409246	0.266362228204623
49	0.696832210301557	0.606335579396886	0.303167789698443
50	0.68616757259731	0.627664854805381	0.31383242740269
51	0.698956578085468	0.602086843829065	0.301043421914532
52	0.652735074969825	0.694529850060349	0.347264925030175
53	0.690995353975701	0.618009292048597	0.309004646024299
54	0.668678889443293	0.662642221113413	0.331321110556707
55	0.737231458483857	0.525537083032286	0.262768541516143
56	0.865464049648537	0.269071900702926	0.134535950351463
57	0.842699945569334	0.314600108861333	0.157300054430666
58	0.812490177190135	0.375019645619729	0.187509822809865
59	0.778111596464927	0.443776807070146	0.221888403535073
60	0.760676413323626	0.478647173352748	0.239323586676374
61	0.772083968201808	0.455832063596384	0.227916031798192
62	0.736922748432454	0.526154503135093	0.263077251567546
63	0.75666808001651	0.486663839966979	0.24333191998349
64	0.724054428873525	0.55189114225295	0.275945571126475
65	0.714717847850872	0.570564304298255	0.285282152149128
66	0.673954679314943	0.652090641370113	0.326045320685057
67	0.644504860890488	0.710990278219025	0.355495139109513
68	0.63782327155393	0.72435345689214	0.36217672844607
69	0.64533938646263	0.70932122707474	0.35466061353737
70	0.606346790360928	0.787306419278143	0.393653209639072
71	0.571429417645464	0.857141164709071	0.428570582354536
72	0.530955727491892	0.938088545016216	0.469044272508108
73	0.49968931702178	0.99937863404356	0.50031068297822
74	0.4746691696201	0.949338339240199	0.5253308303799
75	0.441350984567182	0.882701969134364	0.558649015432818
76	0.507298291690651	0.985403416618697	0.492701708309349
77	0.494300622843096	0.988601245686192	0.505699377156904
78	0.451693795806628	0.903387591613256	0.548306204193372
79	0.449247550128827	0.898495100257653	0.550752449871174
80	0.414695567649173	0.829391135298347	0.585304432350827
81	0.373384728902436	0.746769457804871	0.626615271097564
82	0.381001229520036	0.762002459040073	0.618998770479964
83	0.345554340157794	0.691108680315588	0.654445659842206
84	0.312971208708854	0.625942417417709	0.687028791291146
85	0.274956035275747	0.549912070551494	0.725043964724253
86	0.271606223590445	0.543212447180889	0.728393776409555
87	0.275994255292054	0.551988510584108	0.724005744707946
88	0.238392913195486	0.476785826390972	0.761607086804514
89	0.204077103379779	0.408154206759558	0.795922896620221
90	0.177421601870831	0.354843203741663	0.822578398129169
91	0.155735516998371	0.311471033996743	0.844264483001629
92	0.207450187128076	0.414900374256151	0.792549812871924
93	0.180946201928487	0.361892403856974	0.819053798071513
94	0.160516645769011	0.321033291538021	0.839483354230989
95	0.149578891277759	0.299157782555517	0.850421108722241
96	0.144816020572235	0.28963204114447	0.855183979427765
97	0.131722363804743	0.263444727609485	0.868277636195257
98	0.173340788614285	0.34668157722857	0.826659211385715
99	0.145289871161245	0.290579742322489	0.854710128838755
100	0.125626005980829	0.251252011961658	0.874373994019171
101	0.146963175056644	0.293926350113288	0.853036824943356
102	0.124772325145776	0.249544650291552	0.875227674854224
103	0.117616299285759	0.235232598571517	0.882383700714241
104	0.0980244634485299	0.19604892689706	0.90197553655147
105	0.0824712397563194	0.164942479512639	0.917528760243681
106	0.078606125280277	0.157212250560554	0.921393874719723
107	0.0628440992553815	0.125688198510763	0.937155900744619
108	0.0540234773654035	0.108046954730807	0.945976522634597
109	0.0440561245514528	0.0881122491029057	0.955943875448547
110	0.0485770203841231	0.0971540407682463	0.951422979615877
111	0.0378205195678067	0.0756410391356134	0.962179480432193
112	0.0387603210028016	0.0775206420056032	0.961239678997198
113	0.0352945003805249	0.0705890007610499	0.964705499619475
114	0.0277294614109625	0.055458922821925	0.972270538589037
115	0.0220145041163964	0.0440290082327929	0.977985495883604
116	0.016602928294836	0.033205856589672	0.983397071705164
117	0.0249652313516042	0.0499304627032084	0.975034768648396
118	0.0295928988573082	0.0591857977146164	0.970407101142692
119	0.0228336228535683	0.0456672457071365	0.977166377146432
120	0.0170415813787579	0.0340831627575158	0.982958418621242
121	0.0137165221503505	0.0274330443007011	0.986283477849649
122	0.0110564918256369	0.0221129836512738	0.988943508174363
123	0.0125640578005322	0.0251281156010645	0.987435942199468
124	0.0193978470598504	0.0387956941197007	0.98060215294015
125	0.0202755577695156	0.0405511155390312	0.979724442230484
126	0.0459962232532232	0.0919924465064464	0.954003776746777
127	0.0351069142904562	0.0702138285809123	0.964893085709544
128	0.0268369919944631	0.0536739839889263	0.973163008005537
129	0.0226783813424425	0.045356762684885	0.977321618657558
130	0.0215140841819883	0.0430281683639766	0.978485915818012
131	0.017562208862449	0.035124417724898	0.982437791137551
132	0.0179515699660534	0.0359031399321068	0.982048430033947
133	0.0288602072541646	0.0577204145083291	0.971139792745835
134	0.0339452766640848	0.0678905533281697	0.966054723335915
135	0.0369644491796108	0.0739288983592216	0.963035550820389
136	0.0304408638695254	0.0608817277390507	0.969559136130475
137	0.0294051976149356	0.0588103952298712	0.970594802385064
138	0.0210863275139565	0.042172655027913	0.978913672486044
139	0.0190006153355417	0.0380012306710835	0.980999384664458
140	0.0130849165735261	0.0261698331470522	0.986915083426474
141	0.0463935823672738	0.0927871647345476	0.953606417632726
142	0.0469675019912528	0.0939350039825056	0.953032498008747
143	0.0329515209402958	0.0659030418805916	0.967048479059704
144	0.32517992730501	0.65035985461002	0.67482007269499
145	0.341841147964175	0.68368229592835	0.658158852035825
146	0.596936024246479	0.806127951507043	0.403063975753521
147	0.585125696585371	0.829748606829258	0.414874303414629
148	0.868836699349832	0.262326601300336	0.131163300650168
149	0.8680239101508	0.2639521796984	0.1319760898492
150	0.770891066692436	0.458217866615128	0.229108933307564

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	8	0.0575539568345324	NOK
5% type I error level	28	0.201438848920863	NOK
10% type I error level	52	0.37410071942446	NOK