Multiple Linear Regression - Estimated Regression Equation

Separate[t] = + 15.4578 + 0.412499Connected[t] + 0.128397Learning[t] + 0.121252Software[t] + 0.0268689Happiness[t] + 0.00855712Depression[t] -0.00163428Sport1[t] + 0.0162871Sport2[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)	15.4578	3.23727	4.775	3.02761e-06	1.5138e-06
Connected	0.412499	0.0553297	7.455	1.38638e-12	6.9319e-13
Learning	0.128397	0.108986	1.178	0.239847	0.119923
Software	0.121252	0.112099	1.082	0.280427	0.140213
Happiness	0.0268689	0.101906	0.2637	0.792251	0.396125
Depression	0.00855712	0.0745335	0.1148	0.908687	0.454343
Sport1	-0.00163428	0.0661906	-0.02469	0.980321	0.490161
Sport2	0.0162871	0.0987099	0.165	0.869075	0.434537

Multiple Linear Regression - Regression Statistics
Multiple R	0.479311
R-squared	0.229739
Adjusted R-squared	0.208677
F-TEST (value)	10.9078
F-TEST (DF numerator)	7
F-TEST (DF denominator)	256
p-value	4.81182e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.29498
Sum Squared Residuals	2779.36

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	38	36.4078	1.59219
2	32	36.2061	-4.2061
3	35	33.0826	1.9174
4	33	31.8821	1.11793
5	37	34.0911	2.90885
6	29	34.0012	-5.00124
7	31	36.5202	-5.5202
8	36	34.2438	1.75619
9	35	34.6609	0.339121
10	38	34.893	3.107
11	31	35.6109	-4.61088
12	34	34.8453	-0.845276
13	35	35.6137	-0.613691
14	38	35.9323	2.06774
15	37	34.362	2.63801
16	33	33.0262	-0.0262067
17	32	34.5525	-2.5525
18	38	36.4423	1.55774
19	38	36.215	1.78496
20	32	33.2014	-1.20142
21	33	33.1707	-0.170682
22	31	32.7755	-1.77545
23	38	36.4891	1.5109
24	39	35.0617	3.93834
25	32	36.4403	-4.44026
26	32	37.0828	-5.08281
27	35	34.6748	0.325246
28	37	33.8021	3.19791
29	33	33.7079	-0.70787
30	33	33.5067	-0.506727
31	31	32.8004	-1.80044
32	32	30.0329	1.96712
33	31	34.8569	-3.85694
34	37	34.2315	2.76853
35	30	33.7858	-3.78582
36	33	31.8894	1.11059
37	31	30.7081	0.291917
38	33	34.6503	-1.65032
39	31	31.8544	-0.854437
40	33	34.1682	-1.16824
41	32	35.0791	-3.07911
42	33	33.8791	-0.879058
43	32	36.467	-4.46701
44	33	33.7674	-0.767434
45	28	35.2112	-7.21124
46	35	34.5348	0.465248
47	39	35.5807	3.4193
48	34	33.4537	0.546261
49	38	34.8441	3.15592
50	32	35.4391	-3.43906
51	38	33.524	4.47597
52	30	32.7057	-2.70575
53	33	32.6028	0.397248
54	38	34.2034	3.79655
55	32	31.3195	0.68052
56	35	34.4137	0.58632
57	34	36.2077	-2.20771
58	34	31.9842	2.01579
59	36	34.969	1.03102
60	34	34.1988	-0.198814
61	28	31.0429	-3.04291
62	34	35.7011	-1.70114
63	35	34.2839	0.716125
64	35	32.2924	2.70757
65	31	33.9556	-2.95559
66	37	34.6844	2.31562
67	35	35.3336	-0.333609
68	27	32.4512	-5.45122
69	40	35.5712	4.42878
70	37	34.4987	2.50129
71	36	34.4812	1.51877
72	38	32.384	5.61597
73	39	34.6551	4.34493
74	41	36.1687	4.8313
75	27	34.1126	-7.11259
76	30	35.9716	-5.97156
77	37	35.5048	1.4952
78	31	33.9695	-2.96947
79	31	31.2858	-0.285836
80	27	35.1051	-8.10512
81	36	33.6969	2.30315
82	37	34.5015	2.49848
83	33	35.2148	-2.21482
84	34	33.0221	0.977874
85	31	33.4641	-2.46415
86	39	35.1462	3.85384
87	34	33.6297	0.370266
88	32	31.8565	0.143527
89	33	33.4135	-0.413478
90	36	32.0752	3.92483
91	32	35.2361	-3.23611
92	41	34.5422	6.45777
93	28	33.191	-5.19099
94	30	31.6354	-1.63542
95	36	35.9709	0.0291398
96	35	35.3978	-0.397757
97	31	34.1329	-3.13286
98	34	35.4299	-1.42989
99	36	32.7814	3.2186
100	36	36.0356	-0.0356434
101	35	35.1813	-0.181291
102	37	35.935	1.06497
103	28	32.8833	-4.88333
104	39	33.6347	5.36533
105	32	36.0429	-4.04293
106	35	35.9358	-0.9358
107	39	37.0038	1.99616
108	35	34.5421	0.457896
109	42	36.4722	5.52778
110	34	32.5729	1.42706
111	33	33.0167	-0.0167078
112	41	33.3696	7.63036
113	33	32.2822	0.717774
114	34	34.7011	-0.701106
115	32	35.8458	-3.84577
116	40	33.3892	6.61076
117	40	33.3448	6.65517
118	35	33.0976	1.90238
119	36	35.8953	0.10469
120	37	32.9732	4.02685
121	27	32.9968	-5.99681
122	39	35.4881	3.51189
123	38	35.5849	2.41513
124	31	34.9207	-3.92072
125	33	33.1982	-0.198159
126	32	35.9576	-3.95761
127	39	38.2623	0.737742
128	36	33.4229	2.57709
129	33	33.883	-0.882987
130	33	32.936	0.0639627
131	32	30.582	1.41795
132	37	36.094	0.905955
133	30	30.5464	-0.546405
134	38	35.1068	2.89322
135	29	33.3127	-4.3127
136	22	30.7097	-8.70975
137	35	33.8195	1.1805
138	35	31.3719	3.62813
139	34	33.45	0.549957
140	35	31.7558	3.24416
141	34	32.6199	1.38009
142	37	32.093	4.90699
143	35	33.0358	1.96423
144	23	32.7624	-9.76243
145	31	35.4861	-4.48606
146	27	33.719	-6.71901
147	36	34.3595	1.64045
148	31	33.2103	-2.21028
149	32	33.69	-1.68995
150	39	34.5223	4.47767
151	37	37.4161	-0.416084
152	38	33.687	4.31301
153	39	33.7012	5.29885
154	34	34.8923	-0.892267
155	31	32.5307	-1.53069
156	32	35.2361	-3.23611
157	37	32.1379	4.86207
158	36	33.4229	2.57709
159	32	33.9905	-1.99051
160	38	32.322	5.67797
161	36	33.2445	2.75546
162	26	30.5434	-4.54345
163	26	31.8851	-5.88508
164	33	36.2944	-3.29437
165	39	33.6266	5.37342
166	30	28.5533	1.44669
167	33	32.0972	0.902794
168	25	30.088	-5.08804
169	38	33.666	4.33402
170	37	31.0489	5.95108
171	31	33.7978	-2.79781
172	37	34.9486	2.05136
173	35	36.106	-1.10601
174	25	30.3929	-5.39295
175	28	34.4436	-6.44361
176	35	32.9329	2.06709
177	33	34.1989	-1.19894
178	30	31.4962	-1.49621
179	31	32.329	-1.32904
180	37	34.7432	2.25678
181	36	34.7366	1.2634
182	30	33.0197	-3.01967
183	36	33.6029	2.39706
184	32	35.6265	-3.62646
185	28	28.2893	-0.289298
186	36	33.2714	2.7286
187	34	34.8996	-0.899605
188	31	35.1452	-4.1452
189	28	30.1383	-2.13831
190	36	31.6871	4.31289
191	36	32.4342	3.56585
192	40	35.6979	4.30212
193	33	31.6649	1.33508
194	37	34.2823	2.71775
195	32	32.6612	-0.661194
196	38	35.1285	2.87147
197	31	33.8198	-2.81976
198	37	33.8051	3.19485
199	33	32.8379	0.162125
200	32	30.7434	1.25657
201	30	32.3333	-2.33325
202	30	29.4122	0.587756
203	31	33.0987	-2.09873
204	32	33.4294	-1.42939
205	34	33.046	0.953975
206	36	33.8687	2.1313
207	37	34.5191	2.48094
208	36	34.3828	1.61724
209	33	34.0039	-1.00392
210	33	33.8309	-0.830852
211	33	33.4127	-0.412681
212	44	36.616	7.38404
213	39	33.1044	5.89565
214	32	31.7776	0.222418
215	35	34.3876	0.612396
216	25	31.0936	-6.09362
217	35	33.8457	1.15435
218	34	35.7454	-1.74542
219	35	33.8367	1.16326
220	39	34.9244	4.07556
221	33	34.0426	-1.04264
222	36	35.0855	0.914515
223	32	33.4643	-1.46432
224	32	31.9563	0.0437391
225	36	32.7817	3.21828
226	36	31.5496	4.45039
227	32	32.3092	-0.309156
228	34	32.835	1.16504
229	33	32.9743	0.0256919
230	35	33.1075	1.89251
231	30	32.9425	-2.94255
232	38	32.5526	5.44743
233	34	32.4112	1.58882
234	33	37.5052	-4.50518
235	32	33.4703	-1.47027
236	31	33.9339	-2.9339
237	30	33.1194	-3.11935
238	27	34.3482	-7.34819
239	31	31.8751	-0.875091
240	30	33.8501	-3.85015
241	32	30.2334	1.7666
242	35	33.6144	1.38557
243	28	29.59	-1.59005
244	33	33.2948	-0.294848
245	31	35.1107	-4.11072
246	35	30.969	4.03101
247	35	32.6134	2.38659
248	32	33.6563	-1.65634
249	21	26.7407	-5.74066
250	20	27.6136	-7.6136
251	34	31.5988	2.40116
252	32	32.3357	-0.335734
253	34	33.62	0.379991
254	32	33.2916	-1.29163
255	33	34.5469	-1.54689
256	33	33.6557	-0.655675
257	37	34.4039	2.59612
258	32	31.9588	0.0412007
259	34	34.8128	-0.812806
260	30	31.821	-1.82098
261	30	30.8481	-0.848117
262	38	33.4125	4.58754
263	36	35.129	0.870954
264	32	31.3706	0.629426

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.10404	0.208079	0.89596
12	0.50388	0.992241	0.49612
13	0.498608	0.997217	0.501392
14	0.377817	0.755633	0.622183
15	0.336236	0.672471	0.663764
16	0.243832	0.487665	0.756168
17	0.357997	0.715993	0.642003
18	0.286719	0.573439	0.713281
19	0.297152	0.594305	0.702848
20	0.224359	0.448717	0.775641
21	0.172507	0.345015	0.827493
22	0.124219	0.248438	0.875781
23	0.102616	0.205233	0.897384
24	0.207639	0.415279	0.792361
25	0.245937	0.491874	0.754063
26	0.429828	0.859655	0.570172
27	0.36227	0.72454	0.63773
28	0.340289	0.680578	0.659711
29	0.289071	0.578143	0.710929
30	0.235102	0.470204	0.764898
31	0.206123	0.412247	0.793877
32	0.164497	0.328995	0.835503
33	0.15695	0.313901	0.84305
34	0.171712	0.343424	0.828288
35	0.18286	0.365719	0.81714
36	0.153392	0.306784	0.846608
37	0.121052	0.242105	0.878948
38	0.097925	0.19585	0.902075
39	0.077771	0.155542	0.922229
40	0.0598595	0.119719	0.940141
41	0.0506664	0.101333	0.949334
42	0.0377565	0.075513	0.962244
43	0.0497106	0.0994212	0.950289
44	0.0374488	0.0748977	0.962551
45	0.0801733	0.160347	0.919827
46	0.0646802	0.12936	0.93532
47	0.0636183	0.127237	0.936382
48	0.0497766	0.0995531	0.950223
49	0.0756948	0.15139	0.924305
50	0.0695013	0.139003	0.930499
51	0.0780982	0.156196	0.921902
52	0.0732878	0.146576	0.926712
53	0.05791	0.11582	0.94209
54	0.0493145	0.098629	0.950685
55	0.0423966	0.0847932	0.957603
56	0.0380278	0.0760556	0.961972
57	0.0304494	0.0608988	0.969551
58	0.0238707	0.0477414	0.976129
59	0.0213679	0.0427359	0.978632
60	0.0161206	0.0322411	0.983879
61	0.0170791	0.0341581	0.982921
62	0.0130476	0.0260951	0.986952
63	0.00981684	0.0196337	0.990183
64	0.0085256	0.0170512	0.991474
65	0.00859217	0.0171843	0.991408
66	0.00765044	0.0153009	0.99235
67	0.00563933	0.0112787	0.994361
68	0.00826652	0.016533	0.991733
69	0.0116671	0.0233341	0.988333
70	0.0112401	0.0224802	0.98876
71	0.00858536	0.0171707	0.991415
72	0.0135111	0.0270223	0.986489
73	0.0199127	0.0398253	0.980087
74	0.0353581	0.0707162	0.964642
75	0.0737222	0.147444	0.926278
76	0.0847868	0.169574	0.915213
77	0.0721393	0.144279	0.927861
78	0.0696716	0.139343	0.930328
79	0.0609459	0.121892	0.939054
80	0.159211	0.318422	0.840789
81	0.153662	0.307323	0.846338
82	0.142641	0.285282	0.857359
83	0.12865	0.2573	0.87135
84	0.110098	0.220196	0.889902
85	0.0989328	0.197866	0.901067
86	0.127279	0.254557	0.872721
87	0.108109	0.216219	0.891891
88	0.0916128	0.183226	0.908387
89	0.076704	0.153408	0.923296
90	0.0765803	0.153161	0.92342
91	0.0794446	0.158889	0.920555
92	0.141516	0.283032	0.858484
93	0.178766	0.357533	0.821234
94	0.165061	0.330123	0.834939
95	0.148751	0.297503	0.851249
96	0.127968	0.255937	0.872032
97	0.120328	0.240657	0.879672
98	0.104972	0.209943	0.895028
99	0.104293	0.208586	0.895707
100	0.0882071	0.176414	0.911793
101	0.0753614	0.150723	0.924639
102	0.0647694	0.129539	0.935231
103	0.0834311	0.166862	0.916569
104	0.116074	0.232149	0.883926
105	0.119987	0.239975	0.880013
106	0.10376	0.20752	0.89624
107	0.09718	0.19436	0.90282
108	0.0864546	0.172909	0.913545
109	0.126174	0.252348	0.873826
110	0.110214	0.220427	0.889786
111	0.0940048	0.18801	0.905995
112	0.188668	0.377335	0.811332
113	0.180383	0.360766	0.819617
114	0.161706	0.323412	0.838294
115	0.169195	0.33839	0.830805
116	0.236931	0.473861	0.763069
117	0.328017	0.656033	0.671983
118	0.305449	0.610898	0.694551
119	0.275847	0.551693	0.724153
120	0.288614	0.577227	0.711386
121	0.379521	0.759042	0.620479
122	0.382255	0.76451	0.617745
123	0.366994	0.733987	0.633006
124	0.38725	0.774499	0.61275
125	0.353548	0.707096	0.646452
126	0.370259	0.740517	0.629741
127	0.346814	0.693629	0.653186
128	0.331892	0.663783	0.668108
129	0.30627	0.61254	0.69373
130	0.277752	0.555504	0.722248
131	0.254794	0.509588	0.745206
132	0.237527	0.475055	0.762473
133	0.22164	0.443279	0.77836
134	0.214371	0.428743	0.785629
135	0.242639	0.485277	0.757361
136	0.441485	0.88297	0.558515
137	0.413752	0.827504	0.586248
138	0.432024	0.864047	0.567976
139	0.399992	0.799984	0.600008
140	0.400627	0.801254	0.599373
141	0.375238	0.750476	0.624762
142	0.415303	0.830607	0.584697
143	0.392054	0.784107	0.607946
144	0.679678	0.640644	0.320322
145	0.719917	0.560166	0.280083
146	0.817385	0.36523	0.182615
147	0.803447	0.393107	0.196553
148	0.7919	0.4162	0.2081
149	0.773998	0.452005	0.226002
150	0.793472	0.413057	0.206528
151	0.771603	0.456794	0.228397
152	0.790865	0.41827	0.209135
153	0.828682	0.342635	0.171318
154	0.809351	0.381298	0.190649
155	0.791806	0.416388	0.208194
156	0.788668	0.422665	0.211332
157	0.822922	0.354156	0.177078
158	0.820222	0.359556	0.179778
159	0.812587	0.374826	0.187413
160	0.852195	0.295609	0.147805
161	0.854074	0.291851	0.145926
162	0.871456	0.257088	0.128544
163	0.919983	0.160034	0.080017
164	0.932633	0.134734	0.0673668
165	0.947813	0.104374	0.052187
166	0.943735	0.11253	0.0562652
167	0.93287	0.134259	0.0671295
168	0.95189	0.0962207	0.0481104
169	0.954583	0.0908333	0.0454167
170	0.967986	0.0640288	0.0320144
171	0.965156	0.0696872	0.0348436
172	0.959879	0.0802416	0.0401208
173	0.954657	0.0906852	0.0453426
174	0.965804	0.068393	0.0341965
175	0.984627	0.0307457	0.0153729
176	0.981376	0.0372481	0.0186241
177	0.977098	0.0458033	0.0229016
178	0.973054	0.0538925	0.0269462
179	0.967091	0.065818	0.032909
180	0.961199	0.0776012	0.0388006
181	0.95502	0.0899598	0.0449799
182	0.95158	0.0968397	0.0484199
183	0.948049	0.103903	0.0519515
184	0.95859	0.0828208	0.0414104
185	0.948982	0.102036	0.051018
186	0.941612	0.116776	0.0583879
187	0.934847	0.130306	0.0651529
188	0.960806	0.078388	0.039194
189	0.95365	0.0927006	0.0463503
190	0.969394	0.0612124	0.0306062
191	0.966496	0.0670075	0.0335037
192	0.966378	0.0672441	0.0336221
193	0.960969	0.0780613	0.0390306
194	0.964774	0.0704521	0.0352261
195	0.956105	0.0877905	0.0438952
196	0.95458	0.0908395	0.0454198
197	0.962446	0.0751083	0.0375541
198	0.955979	0.0880422	0.0440211
199	0.944721	0.110558	0.0552789
200	0.931619	0.136762	0.0683809
201	0.921243	0.157513	0.0787567
202	0.90506	0.18988	0.0949401
203	0.914787	0.170426	0.085213
204	0.898332	0.203335	0.101668
205	0.877703	0.244594	0.122297
206	0.859079	0.281842	0.140921
207	0.846896	0.306208	0.153104
208	0.838058	0.323885	0.161942
209	0.810177	0.379645	0.189823
210	0.803043	0.393914	0.196957
211	0.768683	0.462634	0.231317
212	0.865768	0.268464	0.134232
213	0.895173	0.209653	0.104827
214	0.871413	0.257174	0.128587
215	0.844017	0.311965	0.155983
216	0.879599	0.240802	0.120401
217	0.852919	0.294161	0.147081
218	0.837929	0.324141	0.162071
219	0.805983	0.388034	0.194017
220	0.827229	0.345542	0.172771
221	0.796445	0.40711	0.203555
222	0.757129	0.485743	0.242871
223	0.722313	0.555374	0.277687
224	0.676418	0.647163	0.323582
225	0.635655	0.728689	0.364345
226	0.66028	0.67944	0.33972
227	0.633472	0.733055	0.366528
228	0.579113	0.841774	0.420887
229	0.521645	0.956711	0.478355
230	0.48893	0.97786	0.51107
231	0.468664	0.937328	0.531336
232	0.742819	0.514361	0.257181
233	0.749247	0.501507	0.250753
234	0.810542	0.378917	0.189458
235	0.763343	0.473313	0.236657
236	0.748565	0.502869	0.251435
237	0.720005	0.55999	0.279995
238	0.780234	0.439532	0.219766
239	0.725071	0.549857	0.274929
240	0.792821	0.414358	0.207179
241	0.757784	0.484432	0.242216
242	0.713056	0.573889	0.286944
243	0.640993	0.718014	0.359007
244	0.563139	0.873721	0.436861
245	0.764583	0.470835	0.235417
246	0.849535	0.300931	0.150465
247	0.841556	0.316889	0.158444
248	0.766134	0.467732	0.233866
249	0.694006	0.611989	0.305994
250	0.929209	0.141582	0.070791
251	0.903096	0.193809	0.0969044
252	0.822561	0.354878	0.177439
253	0.713879	0.572243	0.286121

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	19	0.0781893	NOK
10% type I error level	52	0.213992	NOK