Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.45674050425465 + 0.147563595985744month[t] + 0.0879911037877362Connected[t] -0.0205402382643911Separate[t] + 0.522498727357859Software[t] + 0.0304564703352417Happiness[t] -0.0875673351448767Depression[t] -0.0241643125897779Belonging[t] + 0.06495734898767Belonging_Final[t] -0.00640249915183407t + 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)	5.45674050425465	4.962242	1.0997	0.273234	0.136617
month	0.147563595985744	0.506087	0.2916	0.77101	0.385505
Connected	0.0879911037877362	0.043569	2.0196	0.045195	0.022598
Separate	-0.0205402382643911	0.042088	-0.488	0.626238	0.313119
Software	0.522498727357859	0.067502	7.7405	0	0
Happiness	0.0304564703352417	0.071749	0.4245	0.671814	0.335907
Depression	-0.0875673351448767	0.053313	-1.6425	0.102561	0.051281
Belonging	-0.0241643125897779	0.04781	-0.5054	0.613997	0.306999
Belonging_Final	0.06495734898767	0.074513	0.8718	0.384725	0.192363
t	-0.00640249915183407	0.008885	-0.7206	0.472287	0.236143

Multiple Linear Regression - Regression Statistics
Multiple R	0.616084761544292
R-squared	0.379560433407088
Adjusted R-squared	0.342580591689629
F-TEST (value)	10.2639820988713
F-TEST (DF numerator)	9
F-TEST (DF denominator)	151
p-value	2.89035462230913e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.72321311080611
Sum Squared Residuals	448.388977213365

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.0490104618212	-3.04901046182122
2	16	16.1860219268806	-0.186021926880638
3	19	16.7663535636333	2.23364643636669
4	15	12.3030035776248	2.69699642237519
5	14	15.5769323249511	-1.57693232495106
6	13	15.120994334411	-2.120994334411
7	19	15.4275083206751	3.57249167932494
8	15	17.0137390005	-2.01373900049999
9	14	16.1620417775404	-2.16204177754041
10	15	14.4333975526707	0.566602447329285
11	16	15.5623032588263	0.437696741173666
12	16	16.1641331339235	-0.164133133923536
13	16	15.6965731022734	0.303426897726611
14	16	15.1938683446927	0.806131655307332
15	17	17.682961316051	-0.682961316050965
16	15	15.2276273944881	-0.227627394488076
17	15	14.7225549208987	0.277445079101335
18	20	16.4384421481139	3.56155785188605
19	18	15.7292279148461	2.2707720851539
20	16	15.3952022245503	0.604797775449731
21	16	15.3204673050841	0.679532694915915
22	16	15.328948027316	0.671051972684026
23	19	16.2954650366611	2.70453496333885
24	16	15.0229957967646	0.977004203235379
25	17	16.5232711146294	0.476728885370591
26	17	16.967031588619	0.0329684113809558
27	16	14.7664451501271	1.23355484987285
28	15	16.3679090283809	-1.36790902838088
29	16	15.3641723687307	0.635827631269317
30	14	14.5673550619547	-0.567355061954664
31	15	15.8962595562111	-0.896259556211074
32	12	12.399538615869	-0.399538615868987
33	14	15.1370275804905	-1.13702758049045
34	16	16.0403222944867	-0.0403222944866774
35	14	15.4342652606063	-1.43426526060633
36	10	13.2789234544361	-3.27892345443609
37	10	12.5692353188849	-2.56923531888487
38	14	15.7848933481702	-1.78489334817024
39	16	14.4687342392917	1.53126576070832
40	16	14.7366927971743	1.26330720282572
41	16	15.1493435036918	0.850656496308213
42	14	15.4069230426615	-1.40692304266148
43	20	17.6588451153888	2.34115488461121
44	14	14.026619464814	-0.0266194648140459
45	14	15.0447004096259	-1.04470040962588
46	11	15.448811656535	-4.44881165653501
47	14	16.710198242124	-2.71019824212402
48	15	15.0996382114152	-0.0996382114152192
49	16	14.7500265872991	1.2499734127009
50	14	15.9644976462787	-1.96449764627872
51	16	16.5383768844621	-0.538376884462106
52	14	14.0561112677422	-0.0561112677421831
53	12	14.4932319603238	-2.49323196032376
54	16	16.2196790651626	-0.219679065162606
55	9	11.5695101721269	-2.56951017212693
56	14	12.6492197176744	1.35078028232563
57	16	16.0545534287663	-0.05455342876633
58	16	15.4623309031468	0.537669096853166
59	15	15.3373127577086	-0.337312757708649
60	16	14.3081660621972	1.69183393780278
61	12	11.554153209716	0.445846790284027
62	16	15.8582548155892	0.141745184410759
63	16	16.585811286261	-0.585811286260983
64	14	14.2364998541117	-0.236499854111724
65	16	15.2983402250144	0.701659774985575
66	17	16.2130839025039	0.78691609749612
67	18	16.2469031038356	1.7530968961644
68	18	14.5435653149424	3.45643468505759
69	12	15.6351315345966	-3.6351315345966
70	16	15.3656615203541	0.63433847964587
71	10	13.789131849363	-3.78913184936299
72	14	14.1785908244253	-0.178590824425269
73	18	16.4497195752914	1.55028042470861
74	18	16.7872159793723	1.21278402062768
75	16	15.81004347127	0.189956528730027
76	17	13.9151843440673	3.08481565593275
77	16	16.2085982734379	-0.208598273437875
78	16	14.6334928774504	1.36650712254957
79	13	15.0343823104248	-2.03438231042482
80	16	15.8377934020667	0.162206597933289
81	16	15.4206803358604	0.579319664139595
82	16	15.87321162804	0.126788371960041
83	15	15.7144634312669	-0.714463431266877
84	15	14.7837316387963	0.216268361203682
85	16	14.3604689094015	1.63953109059846
86	14	14.0560716932549	-0.0560716932548528
87	16	15.2871357419452	0.712864258054837
88	16	14.4545393763589	1.54546062364107
89	15	14.2467953745083	0.753204625491681
90	12	13.6503435997642	-1.65034359976425
91	17	16.6187657874912	0.381234212508838
92	16	15.2967278163335	0.703272183666451
93	15	15.096877097657	-0.0968770976570464
94	13	14.9572539543321	-1.95725395433206
95	16	14.8852440224786	1.11475597752144
96	16	15.7372112215607	0.262788778439251
97	16	14.0231354085094	1.97686459149055
98	16	15.8473817554252	0.152618244574779
99	14	14.3325070655381	-0.332507065538147
100	16	16.940001690227	-0.940001690226981
101	16	14.6934587187021	1.30654128129791
102	20	17.284804462422	2.715195537578
103	15	14.7661382158651	0.233861784134946
104	16	14.3164240864805	1.68357591351953
105	13	15.0228622261668	-2.02286222616685
106	17	15.8890203713599	1.11097962864013
107	16	15.4571292514523	0.542870748547735
108	16	14.2669382666796	1.73306173332035
109	12	12.0005969501969	-0.000596950196859065
110	16	15.1417348345613	0.858265165438743
111	16	15.8256165622776	0.174383437722378
112	17	14.9627998225823	2.03720017741771
113	13	13.1509986333327	-0.150998633332732
114	12	14.8462612594175	-2.84626125941749
115	18	16.7107581165155	1.28924188348448
116	14	15.2509980379671	-1.25099803796712
117	14	13.2080551161559	0.791944883844143
118	13	14.9558849040364	-1.95588490403643
119	16	15.7029873745019	0.297012625498139
120	13	14.0935310256219	-1.09353102562188
121	16	15.6228570919342	0.377142908065845
122	13	15.96209193677	-2.96209193677004
123	16	17.0553726529986	-1.05537265299863
124	15	16.2621382249113	-1.2621382249113
125	16	16.7437130667739	-0.743713066773915
126	15	15.4876652395885	-0.487665239588466
127	17	15.7968988111648	1.20310118883524
128	15	14.2280289887115	0.771971011288529
129	12	14.8401289874323	-2.84012898743225
130	16	14.0557257937931	1.94427420620694
131	10	13.3213728124412	-3.32137281244122
132	16	13.8830150142454	2.11698498575463
133	12	13.9063969972042	-1.90639699720421
134	14	15.5730496432251	-1.57304964322512
135	15	15.3557695739857	-0.355769573985745
136	13	12.0832464880097	0.916753511990259
137	15	14.6293777237536	0.370622276246397
138	11	13.2447853711918	-2.2447853711918
139	12	13.2966873506332	-1.29668735063324
140	11	13.2359344356473	-2.23593443564735
141	16	12.8944180590953	3.10558194090467
142	15	13.2974013987732	1.70259860122683
143	17	16.6628795427123	0.337120457287677
144	16	14.694189937819	1.30581006218097
145	10	14.1605574798599	-4.16055747985993
146	18	15.8517906768739	2.14820932312605
147	13	15.052154894862	-2.05215489486201
148	16	15.1592744155609	0.840725584439128
149	13	13.0852293404491	-0.0852293404490951
150	10	13.1449173602912	-3.1449173602912
151	15	15.8925878118488	-0.892587811848785
152	16	13.6671998336562	2.33280016634383
153	16	11.9469318655517	4.05306813444826
154	14	12.6553961555626	1.34460384443741
155	10	12.7822320473445	-2.78223204734445
156	17	16.3501669386077	0.649833061392308
157	13	11.5917428932724	1.40825710672763
158	15	14.0359540141564	0.964045985843552
159	16	15.0346892390993	0.965310760900736
160	12	12.2780470850852	-0.27804708508523
161	13	12.7969337035586	0.203066296441365

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.373117734898213	0.746235469796427	0.626882265101787
14	0.372605597569109	0.745211195138218	0.627394402430891
15	0.242579516214376	0.485159032428751	0.757420483785624
16	0.194670434715261	0.389340869430522	0.805329565284739
17	0.207773452386697	0.415546904773394	0.792226547613303
18	0.412701678995522	0.825403357991043	0.587298321004478
19	0.363901958587976	0.727803917175953	0.636098041412024
20	0.308191669089831	0.616383338179662	0.691808330910169
21	0.255157149352686	0.510314298705372	0.744842850647314
22	0.296876226737523	0.593752453475045	0.703123773262478
23	0.45574194054613	0.91148388109226	0.54425805945387
24	0.598562624079699	0.802874751840603	0.401437375920301
25	0.527116689214842	0.945766621570316	0.472883310785158
26	0.469593467674655	0.939186935349311	0.530406532325345
27	0.460254770144318	0.920509540288636	0.539745229855682
28	0.589987978041212	0.820024043917576	0.410012021958788
29	0.535419608934699	0.929160782130602	0.464580391065301
30	0.648541029102961	0.702917941794079	0.351458970897039
31	0.606734004473784	0.786531991052432	0.393265995526216
32	0.575039341676932	0.849921316646137	0.424960658323068
33	0.557542434309383	0.884915131381233	0.442457565690617
34	0.514338000976751	0.971323998046498	0.485661999023249
35	0.464031599839811	0.928063199679623	0.535968400160189
36	0.63016569211153	0.739668615776939	0.36983430788847
37	0.66316021831378	0.673679563372441	0.33683978168622
38	0.643801092256363	0.712397815487275	0.356198907743637
39	0.684469808679949	0.631060382640102	0.315530191320051
40	0.664815856250008	0.670368287499983	0.335184143749992
41	0.623816586239809	0.752366827520382	0.376183413760191
42	0.584074421706633	0.831851156586735	0.415925578293367
43	0.616857278242556	0.766285443514889	0.383142721757444
44	0.562871855530975	0.874256288938051	0.437128144469025
45	0.530004704787443	0.939990590425115	0.469995295212557
46	0.748696960693078	0.502606078613845	0.251303039306922
47	0.822803584822023	0.354392830355954	0.177196415177977
48	0.791568783716928	0.416862432566143	0.208431216283072
49	0.805865448588653	0.388269102822694	0.194134551411347
50	0.802475897755689	0.395048204488622	0.197524102244311
51	0.769608502070731	0.460782995858539	0.230391497929269
52	0.735702106547572	0.528595786904857	0.264297893452428
53	0.765440548367905	0.46911890326419	0.234559451632095
54	0.725403738195786	0.549192523608429	0.274596261804214
55	0.736876821887046	0.526246356225908	0.263123178112954
56	0.745405840428276	0.509188319143448	0.254594159571724
57	0.706823558110268	0.586352883779464	0.293176441889732
58	0.679703495212145	0.640593009575709	0.320296504787855
59	0.641087052874064	0.717825894251871	0.358912947125936
60	0.649606072900568	0.700787854198864	0.350393927099432
61	0.609029631506793	0.781940736986414	0.390970368493207
62	0.563738378332835	0.872523243334331	0.436261621667165
63	0.520943453379159	0.958113093241682	0.479056546620841
64	0.472758796642168	0.945517593284337	0.527241203357832
65	0.431377879210327	0.862755758420653	0.568622120789673
66	0.399935187548745	0.79987037509749	0.600064812451255
67	0.400542094387113	0.801084188774227	0.599457905612887
68	0.545303298762134	0.909393402475732	0.454696701237866
69	0.693306600042584	0.613386799914831	0.306693399957416
70	0.656960345938899	0.686079308122202	0.343039654061101
71	0.800756088753523	0.398487822492954	0.199243911246477
72	0.766653395021658	0.466693209956684	0.233346604978342
73	0.763855201454992	0.472289597090017	0.236144798545008
74	0.747109151830386	0.505781696339228	0.252890848169614
75	0.707563035822877	0.584873928354246	0.292436964177123
76	0.78941051955114	0.421178960897719	0.21058948044886
77	0.754131135222691	0.491737729554617	0.245868864777309
78	0.740435245263316	0.519129509473369	0.259564754736684
79	0.764757766571934	0.470484466856132	0.235242233428066
80	0.726651959393976	0.546696081212048	0.273348040606024
81	0.691552536527811	0.616894926944378	0.308447463472189
82	0.650311808279046	0.699376383441908	0.349688191720954
83	0.61579379238232	0.76841241523536	0.38420620761768
84	0.57139768846093	0.85720462307814	0.42860231153907
85	0.559511721989237	0.880976556021526	0.440488278010763
86	0.515479137099634	0.969041725800731	0.484520862900366
87	0.472980359115284	0.945960718230567	0.527019640884716
88	0.453183030585722	0.906366061171445	0.546816969414278
89	0.41732554692528	0.83465109385056	0.58267445307472
90	0.425263796987477	0.850527593974953	0.574736203012523
91	0.380605682332562	0.761211364665123	0.619394317667438
92	0.345288622298103	0.690577244596206	0.654711377701897
93	0.303669242264657	0.607338484529314	0.696330757735343
94	0.346550494127736	0.693100988255473	0.653449505872264
95	0.316701636767859	0.633403273535718	0.683298363232141
96	0.274771847863333	0.549543695726665	0.725228152136667
97	0.269856675373548	0.539713350747095	0.730143324626452
98	0.232758472585136	0.465516945170273	0.767241527414864
99	0.219328628116873	0.438657256233746	0.780671371883127
100	0.214915880974867	0.429831761949733	0.785084119025133
101	0.189828518858483	0.379657037716966	0.810171481141517
102	0.211621038198505	0.42324207639701	0.788378961801495
103	0.181500364934713	0.363000729869427	0.818499635065287
104	0.165436299334958	0.330872598669916	0.834563700665042
105	0.189738202864346	0.379476405728692	0.810261797135654
106	0.16077932197809	0.32155864395618	0.83922067802191
107	0.132386733995257	0.264773467990514	0.867613266004743
108	0.116884701436619	0.233769402873239	0.883115298563381
109	0.119310245609057	0.238620491218115	0.880689754390943
110	0.107226426796924	0.214452853593847	0.892773573203076
111	0.0921081477414481	0.184216295482896	0.907891852258552
112	0.117968327920595	0.235936655841191	0.882031672079405
113	0.102643253038615	0.205286506077231	0.897356746961385
114	0.138782468871726	0.277564937743453	0.861217531128274
115	0.151268736031567	0.302537472063134	0.848731263968433
116	0.130686469742884	0.261372939485768	0.869313530257116
117	0.141216536837854	0.282433073675708	0.858783463162146
118	0.13907780356732	0.278155607134641	0.86092219643268
119	0.168550077887839	0.337100155775678	0.831449922112161
120	0.139792731574773	0.279585463149547	0.860207268425227
121	0.12689640107263	0.25379280214526	0.87310359892737
122	0.131866515151269	0.263733030302539	0.868133484848731
123	0.105739089414097	0.211478178828193	0.894260910585903
124	0.0857984651880153	0.171596930376031	0.914201534811985
125	0.065938202955488	0.131876405910976	0.934061797044512
126	0.0491466909434925	0.0982933818869849	0.950853309056508
127	0.0474794267990124	0.0949588535980249	0.952520573200988
128	0.0569112076775999	0.1138224153552	0.9430887923224
129	0.0618252495847061	0.123650499169412	0.938174750415294
130	0.0638677378867283	0.127735475773457	0.936132262113272
131	0.0809816810648413	0.161963362129683	0.919018318935159
132	0.145590202041243	0.291180404082486	0.854409797958757
133	0.173108339739788	0.346216679479576	0.826891660260212
134	0.137589238521034	0.275178477042067	0.862410761478966
135	0.112442800261231	0.224885600522461	0.887557199738769
136	0.0832660334908036	0.166532066981607	0.916733966509196
137	0.103186410359447	0.206372820718893	0.896813589640553
138	0.108598533625555	0.21719706725111	0.891401466374445
139	0.0821284231651862	0.164256846330372	0.917871576834814
140	0.24736465494641	0.49472930989282	0.75263534505359
141	0.20758210267857	0.415164205357141	0.79241789732143
142	0.167254106495808	0.334508212991616	0.832745893504192
143	0.125165396540243	0.250330793080486	0.874834603459757
144	0.0820434811859214	0.164086962371843	0.917956518814079
145	0.156178419574087	0.312356839148174	0.843821580425913
146	0.170964965666882	0.341929931333765	0.829035034333118
147	0.291766468621636	0.583532937243272	0.708233531378364
148	0.177356615162917	0.354713230325834	0.822643384837083

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	2	0.0147058823529412	OK