Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 0.768513215373454 + 0.668412598710118Month[t] + 0.105994800719641Connected[t] -0.0218800289097705Separate[t] + 0.512464755908523Software[t] + 0.0454143170346729Happiness[t] -0.0764190177004767Depression[t] + 0.00493162188751464Belonging[t] -0.0100384015979111t + 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)	0.768513215373454	5.027474	0.1529	0.878708	0.439354
Month	0.668412598710118	0.547536	1.2208	0.224053	0.112026
Connected	0.105994800719641	0.047092	2.2508	0.025822	0.012911
Separate	-0.0218800289097705	0.044797	-0.4884	0.625951	0.312975
Software	0.512464755908523	0.071335	7.184	0	0
Happiness	0.0454143170346729	0.07662	0.5927	0.554243	0.277121
Depression	-0.0764190177004767	0.056182	-1.3602	0.175768	0.087884
Belonging	0.00493162188751464	0.014656	0.3365	0.736962	0.368481
t	-0.0100384015979111	0.005852	-1.7154	0.088298	0.044149

Multiple Linear Regression - Regression Statistics
Multiple R	0.605542414116741
R-squared	0.366681615294331
Adjusted R-squared	0.333566928512335
F-TEST (value)	11.0730811892714
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	2.83573164949757e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84190664855202
Sum Squared Residuals	519.070875602963

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.4182591901209	-3.41825919012087
2	16	16.2358664127609	-0.235866412760915
3	19	16.6103040314966	2.38969596850341
4	15	12.3410216595843	2.65897834041571
5	14	15.6869715416879	-1.68697154168792
6	13	15.2090369415109	-2.2090369415109
7	19	15.5350092044577	3.46499079554226
8	15	16.884289152198	-1.88428915219796
9	14	16.1754344725421	-2.17543447254211
10	15	12.911568440157	2.08843155984301
11	16	15.5454246181145	0.454575381885477
12	16	16.4030621624475	-0.4030621624475
13	16	15.7035824407014	0.296417559298603
14	16	15.5062278325561	0.493772167443885
15	17	17.4912079063435	-0.491207906343461
16	15	15.2949501782609	-0.294950178260897
17	15	14.789679068722	0.210320931277979
18	20	16.314890695665	3.68510930433504
19	18	15.7201994801743	2.27980051982573
20	16	15.4389926306613	0.561007369338669
21	16	15.488336781505	0.511663218495037
22	16	15.0855582935445	0.914441706455542
23	19	16.5028211313236	2.49717886867643
24	16	15.0001801618643	0.99981983813571
25	17	14.9346393471572	2.06536065284276
26	17	16.9463833384312	0.0536166615688124
27	16	14.9486722750719	1.05132772492811
28	15	16.1957223790458	-1.19572237904575
29	16	15.4144925129927	0.585507487007341
30	14	14.3260333090965	-0.326033309096465
31	15	15.7291989022185	-0.729198902218493
32	12	12.4348229320866	-0.434822932086584
33	14	15.1791320071407	-1.17913200714072
34	16	15.6416219745102	0.35837802548982
35	14	15.5371752039699	-1.53717520396989
36	7	13.14531219157	-6.14531219156995
37	10	11.0742032829756	-1.07420328297559
38	14	15.7604479829587	-1.76044798295873
39	16	14.2956013012337	1.7043986987663
40	16	14.6615930247828	1.3384069752172
41	16	15.0773300147413	0.922669985258663
42	14	15.4206075443116	-1.42060754431158
43	20	17.7487726887926	2.25122731120737
44	14	14.1865114584668	-0.186511458466828
45	14	14.9169522287659	-0.91695222876587
46	11	15.4695043615738	-4.46950436157383
47	14	16.4629438742431	-2.46294387424306
48	15	14.9038802852529	0.0961197147470597
49	16	14.9045271115548	1.09547288844521
50	14	15.879173665314	-1.87917366531404
51	16	16.3246829008987	-0.324682900898661
52	14	14.018662892636	-0.0186628926359934
53	12	14.5062684066698	-2.50626840666983
54	16	15.4574429838199	0.542557016180059
55	9	11.5011657819621	-2.50116578196213
56	14	12.6575011578122	1.34249884218782
57	16	15.8496128908443	0.150387109155687
58	16	15.0053668826046	0.994633117395374
59	15	15.1039898355564	-0.103989835556369
60	16	14.0163671802653	1.98363281973473
61	12	11.4226507520734	0.57734924792662
62	16	15.6483970143941	0.351602985605881
63	16	16.1266002587556	-0.126600258755576
64	14	14.1212975557884	-0.121297555788371
65	16	15.1609250064072	0.839074993592833
66	17	16.3604672059919	0.639532794008115
67	18	16.5305059232483	1.46949407675171
68	18	14.9841754396348	3.01582456036522
69	12	16.1666223391235	-4.16662233912354
70	16	15.751415535001	0.24858446499901
71	10	14.0525239977285	-4.05252399772845
72	14	14.6680357151298	-0.668035715129788
73	18	16.7320734638358	1.26792653616422
74	18	17.2723317977481	0.72766820225186
75	16	16.0264317627343	-0.0264317627343026
76	17	14.2668400640912	2.73315993590883
77	16	16.5777803548208	-0.577780354820755
78	16	14.8638432518774	1.13615674812262
79	13	15.1662584818415	-2.16625848184152
80	16	16.2991135356792	-0.299113535679184
81	16	15.729456816871	0.270543183128966
82	20	15.9798214225791	4.02017857742092
83	16	16.0128746465056	-0.0128746465055591
84	15	16.1283664696943	-1.12836646969428
85	15	15.0036633407577	-0.00366334075768709
86	16	14.5556198454026	1.44438015459737
87	14	14.4236015334759	-0.423601533475877
88	16	15.5317985098949	0.468201490105099
89	16	14.7928952647891	1.20710473521085
90	15	14.4564429612489	0.543557038751113
91	12	13.7880897990704	-1.78808979907038
92	17	17.0421379327585	-0.0421379327584678
93	16	15.5488841754105	0.451115824589453
94	15	15.3317075044827	-0.331707504482677
95	13	15.286742170599	-2.28674217059898
96	16	15.2402660243254	0.759733975674648
97	16	15.9595121205198	0.0404878794802353
98	16	14.2924535290469	1.70754647095308
99	16	16.1171967266511	-0.117196726651113
100	14	14.469427026012	-0.469427026011968
101	16	17.2360450864353	-1.23604508643534
102	16	14.9041170882632	1.09588291173678
103	20	17.340695653351	2.659304346649
104	15	14.8093859020927	0.190614097907303
105	16	14.5283352473809	1.47166475261905
106	13	15.3698946130253	-2.36989461302531
107	17	16.0509318592054	0.949068140794551
108	16	15.8191902291527	0.180809770847252
109	16	14.6197430441266	1.38025695587344
110	12	12.4214248871592	-0.421424887159235
111	16	14.9396182371554	1.06038176284457
112	16	15.7848549160647	0.215145083935304
113	17	14.6339242274791	2.36607577252085
114	13	14.2920832090164	-1.29208320901644
115	12	14.8759899791641	-2.87598997916411
116	18	16.5584315233181	1.44156847668193
117	14	15.3950570822917	-1.39505708229171
118	14	13.0840146697715	0.91598533022847
119	13	14.9155203286428	-1.91552032864279
120	16	15.5710906110768	0.428909388923214
121	13	14.2283663990425	-1.2283663990425
122	16	15.5258115302152	0.474188469784791
123	13	15.8214940855028	-2.82149408550281
124	16	16.9174163924758	-0.917416392475812
125	15	15.8800423156952	-0.880042315695234
126	16	16.5779448639113	-0.577944863911289
127	15	15.3405832794404	-0.340583279440439
128	17	15.9880794493797	1.01192055062033
129	15	13.9017397843595	1.09826021564055
130	12	14.8153806822199	-2.8153806822199
131	16	14.0319709019986	1.96802909800136
132	10	13.2382115454599	-3.23821154545991
133	16	13.9442402601987	2.05575973980127
134	12	13.8055493681869	-1.80554936818689
135	14	15.4665251485048	-1.46652514850481
136	15	15.0554622602305	-0.0554622602304631
137	13	12.1842824330687	0.815717566931252
138	15	14.4191006791747	0.580899320825348
139	11	13.1391527352971	-2.13915273529705
140	12	13.2691074299063	-1.26910742990629
141	8	13.1830850100963	-5.18308501009632
142	16	12.9581490233769	3.04185097662313
143	15	13.1362726791064	1.86372732089359
144	17	16.2510154291565	0.748984570843493
145	16	14.5607028716084	1.43929712839157
146	10	13.9731959748689	-3.97319597486888
147	18	15.6245129604574	2.37548703954263
148	13	14.9466721925675	-1.94667219256749
149	16	14.8942814133882	1.10571858661179
150	13	12.885494780831	0.114505219168977
151	10	12.9273638730028	-2.92736387300282
152	15	15.9119254966227	-0.91192549662266
153	16	13.6903317543315	2.30966824566853
154	16	11.8210311574653	4.17896884253475
155	14	11.5909388728532	2.40906112714677
156	10	12.4054244380823	-2.40542443808226
157	17	16.3896418288942	0.610358171105753
158	13	11.4298489397401	1.57015106025992
159	15	13.6005877364221	1.39941226357788
160	16	14.7041407618554	1.29585923814456
161	12	12.1458929280244	-0.1458929280244
162	13	12.4502421230789	0.549757876921094

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.922338009425659	0.155323981148682	0.0776619905743411
13	0.89642465641699	0.207150687166021	0.10357534358301
14	0.831475742550288	0.337048514899425	0.168524257449712
15	0.785291023637889	0.429417952724222	0.214708976362111
16	0.808797505481182	0.382404989037636	0.191202494518818
17	0.752668867982716	0.494662264034568	0.247331132017284
18	0.909973025800038	0.180053948399923	0.0900269741999617
19	0.887736936220901	0.224526127558199	0.112263063779099
20	0.845008264162708	0.309983471674585	0.154991735837292
21	0.789484100534173	0.421031798931654	0.210515899465827
22	0.752610850023517	0.494778299952966	0.247389149976483
23	0.721898270490264	0.556203459019472	0.278101729509736
24	0.698521082272676	0.602957835454647	0.301478917727324
25	0.643786449128348	0.712427101743304	0.356213550871652
26	0.595313904104634	0.809372191790731	0.404686095895365
27	0.544678749895634	0.910642500208731	0.455321250104366
28	0.590811462048837	0.818377075902326	0.409188537951163
29	0.5325454068913	0.934909186217401	0.4674545931087
30	0.544288131769434	0.911423736461132	0.455711868230566
31	0.488862964652029	0.977725929304058	0.511137035347971
32	0.485318041767325	0.97063608353465	0.514681958232675
33	0.469719894028261	0.939439788056522	0.530280105971739
34	0.409760142930545	0.819520285861091	0.590239857069455
35	0.392068276939615	0.784136553879229	0.607931723060385
36	0.867863522840921	0.264272954318157	0.132136477159079
37	0.852461516550039	0.295076966899923	0.147538483449961
38	0.836161136137446	0.327677727725108	0.163838863862554
39	0.864915290829859	0.270169418340283	0.135084709170142
40	0.853413575428955	0.29317284914209	0.146586424571045
41	0.830336972312261	0.339326055375477	0.169663027687739
42	0.808462766556695	0.38307446688661	0.191537233443305
43	0.829156666491066	0.341686667017869	0.170843333508934
44	0.794556446897904	0.410887106204193	0.205443553102096
45	0.763495821481604	0.473008357036792	0.236504178518396
46	0.900151633923894	0.199696732152212	0.0998483660761058
47	0.904866280641361	0.190267438717277	0.0951337193586387
48	0.885160032604616	0.229679934790767	0.114839967395384
49	0.872875006038825	0.25424998792235	0.127124993961175
50	0.863768452420683	0.272463095158635	0.136231547579317
51	0.835982616455074	0.328034767089852	0.164017383544926
52	0.805245827816107	0.389508344367787	0.194754172183893
53	0.816875608824982	0.366248782350036	0.183124391175018
54	0.790975000075511	0.418049999848978	0.209024999924489
55	0.809665430122319	0.380669139755362	0.190334569877681
56	0.799884403875205	0.40023119224959	0.200115596124795
57	0.765080908624144	0.469838182751713	0.234919091375856
58	0.753231759420699	0.493536481158603	0.246768240579301
59	0.719216941532468	0.561566116935065	0.280783058467532
60	0.72524143439794	0.549517131204119	0.27475856560206
61	0.690810155631145	0.618379688737709	0.309189844368855
62	0.650128554376835	0.69974289124633	0.349871445623165
63	0.612855059445725	0.77428988110855	0.387144940554275
64	0.577111365961011	0.845777268077977	0.422888634038989
65	0.547206115916484	0.905587768167032	0.452793884083516
66	0.499370683149125	0.998741366298251	0.500629316850875
67	0.466752681182202	0.933505362364405	0.533247318817798
68	0.493505897020834	0.987011794041668	0.506494102979166
69	0.731945293024897	0.536109413950206	0.268054706975103
70	0.691533232036181	0.616933535927638	0.308466767963819
71	0.816413795255426	0.367172409489148	0.183586204744574
72	0.787566647795539	0.424866704408921	0.212433352204461
73	0.773024260872439	0.453951478255122	0.226975739127561
74	0.745389961636143	0.509220076727715	0.254610038363857
75	0.706311867869224	0.587376264261553	0.293688132130776
76	0.749340105277517	0.501319789444967	0.250659894722483
77	0.71388898863225	0.5722220227355	0.28611101136775
78	0.688626699860726	0.622746600278548	0.311373300139274
79	0.706147520226382	0.587704959547235	0.293852479773618
80	0.666817744728424	0.666364510543152	0.333182255271576
81	0.625084538845696	0.749830922308607	0.374915461154304
82	0.769221687684475	0.461556624631049	0.230778312315525
83	0.731967276359808	0.536065447280385	0.268032723640192
84	0.706914565556163	0.586170868887674	0.293085434443837
85	0.665177266410528	0.669645467178944	0.334822733589472
86	0.646269802810228	0.707460394379543	0.353730197189772
87	0.602789438275618	0.794421123448765	0.397210561724382
88	0.558731324891298	0.882537350217405	0.441268675108702
89	0.531366069899844	0.937267860200311	0.468633930100156
90	0.49627623796455	0.9925524759291	0.50372376203545
91	0.491358646899942	0.982717293799885	0.508641353100058
92	0.450319944760225	0.900639889520451	0.549680055239774
93	0.407680876425241	0.815361752850482	0.592319123574759
94	0.363192118283405	0.72638423656681	0.636807881716595
95	0.394304151324135	0.78860830264827	0.605695848675865
96	0.356742331186286	0.713484662372572	0.643257668813714
97	0.315179567495225	0.63035913499045	0.684820432504775
98	0.306918928969024	0.613837857938049	0.693081071030976
99	0.265631548433832	0.531263096867664	0.734368451566168
100	0.233102360308372	0.466204720616743	0.766897639691628
101	0.21172057334207	0.42344114668414	0.78827942665793
102	0.194290288785299	0.388580577570597	0.805709711214701
103	0.236859910127883	0.473719820255766	0.763140089872117
104	0.200857867797697	0.401715735595395	0.799142132202303
105	0.194982984695391	0.389965969390782	0.805017015304609
106	0.200445975606951	0.400891951213902	0.799554024393049
107	0.179385797643149	0.358771595286297	0.820614202356851
108	0.158226234218817	0.316452468437634	0.841773765781183
109	0.156945792909178	0.313891585818356	0.843054207090822
110	0.16148331661312	0.322966633226239	0.83851668338688
111	0.14781284683155	0.295625693663101	0.85218715316845
112	0.12818240274467	0.25636480548934	0.87181759725533
113	0.173461492727845	0.34692298545569	0.826538507272155
114	0.148187468933527	0.296374937867053	0.851812531066473
115	0.168199963324651	0.336399926649301	0.831800036675349
116	0.172085586040561	0.344171172081123	0.827914413959439
117	0.145954781598745	0.291909563197491	0.854045218401255
118	0.146088230345841	0.292176460691683	0.853911769654159
119	0.135874694804457	0.271749389608914	0.864125305195543
120	0.158743708746979	0.317487417493957	0.841256291253021
121	0.130505039713635	0.26101007942727	0.869494960286365
122	0.116581495178344	0.233162990356689	0.883418504821656
123	0.108535524466465	0.217071048932929	0.891464475533535
124	0.0852962155052576	0.170592431010515	0.914703784494742
125	0.0664045694001015	0.132809138800203	0.933595430599898
126	0.0500125232441552	0.10002504648831	0.949987476755845
127	0.0366595031010663	0.0733190062021326	0.963340496898934
128	0.0377782998840843	0.0755565997681685	0.962221700115916
129	0.034828468864302	0.069656937728604	0.965171531135698
130	0.0341587402396879	0.0683174804793758	0.965841259760312
131	0.0401811983436863	0.0803623966873726	0.959818801656314
132	0.0378557423928964	0.0757114847857928	0.962144257607104
133	0.0916037872722947	0.183207574544589	0.908396212727705
134	0.0960844553310405	0.192168910662081	0.90391554466896
135	0.0735086834340961	0.147017366868192	0.926491316565904
136	0.0548538752057547	0.109707750411509	0.945146124794245
137	0.0461777968077719	0.0923555936155438	0.953822203192228
138	0.0427341881705937	0.0854683763411874	0.957265811829406
139	0.037437737486811	0.074875474973622	0.962562262513189
140	0.0253896582399434	0.0507793164798868	0.974610341760057
141	0.414711496443759	0.829422992887517	0.585288503556241
142	0.363317343282383	0.726634686564766	0.636682656717617
143	0.321412634550678	0.642825269101356	0.678587365449322
144	0.260199504264854	0.520399008529709	0.739800495735146
145	0.215045244945265	0.430090489890531	0.784954755054735
146	0.19472492071176	0.38944984142352	0.80527507928824
147	0.277547911944317	0.555095823888634	0.722452088055683
148	0.62234640502573	0.75530718994854	0.37765359497427
149	0.515982293632699	0.968035412734601	0.484017706367301
150	0.395380624862303	0.790761249724605	0.604619375137697

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	10	0.0719424460431655	OK