Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 17.776 + 0.441888Separate[t] + 0.0557129Software[t] + 0.0508634Happiness[t] -0.0664862Depression[t] -0.0708645Sport1[t] + 0.139818Sport2[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)	17.776	3.25492	5.461	1.11486e-07	5.57432e-08
Separate	0.441888	0.0576742	7.662	3.74844e-13	1.87422e-13
Software	0.0557129	0.0929003	0.5997	0.549231	0.274615
Happiness	0.0508634	0.103887	0.4896	0.624832	0.312416
Depression	-0.0664862	0.076198	-0.8725	0.383726	0.191863
Sport1	-0.0708645	0.0677131	-1.047	0.296295	0.148148
Sport2	0.139818	0.100836	1.387	0.166767	0.0833837

Multiple Linear Regression - Regression Statistics
Multiple R	0.475255
R-squared	0.225867
Adjusted R-squared	0.207794
F-TEST (value)	12.4974
F-TEST (DF numerator)	6
F-TEST (DF denominator)	257
p-value	2.34612e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.3791
Sum Squared Residuals	2934.5

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.8689	5.13112
2	39	33.9624	5.03762
3	30	34.9017	-4.90173
4	31	33.4897	-2.48969
5	34	35.3136	-1.31362
6	35	32.3096	2.69043
7	39	32.8099	6.19011
8	34	35.6266	-1.62657
9	36	35.0565	0.943474
10	37	36.1535	0.8465
11	38	33.4842	4.51578
12	36	34.6905	1.30946
13	38	34.5464	3.45362
14	39	35.8509	3.14913
15	33	36.4573	-3.45734
16	32	33.7314	-1.73141
17	36	33.2318	2.76824
18	38	36.6837	1.31631
19	39	36.425	2.57501
20	32	33.5286	-1.5286
21	32	34.3105	-2.31051
22	31	33.1049	-2.10494
23	39	35.9935	3.00646
24	37	36.5068	0.493151
25	39	33.8945	5.10555
26	41	33.4023	7.59767
27	36	34.5081	1.49189
28	33	35.8829	-2.88294
29	33	33.6233	-0.623347
30	34	34.0146	-0.0146449
31	31	33.5404	-2.54041
32	27	32.8133	-5.81333
33	37	33.2122	3.78777
34	34	36.4235	-2.42353
35	34	32.1773	1.82269
36	32	34.1508	-2.1508
37	29	31.8128	-2.81276
38	36	33.9727	2.02727
39	29	33.2774	-4.27736
40	35	33.8945	1.10553
41	37	33.6859	3.31408
42	34	33.747	0.253014
43	38	33.8213	4.17869
44	35	33.2444	1.75564
45	38	31.7203	6.27974
46	37	34.3797	2.62029
47	38	37.3044	0.695578
48	33	34.5614	-1.56139
49	36	35.6763	0.32368
50	38	33.4918	4.50822
51	32	36.5464	-4.54639
52	32	32.2158	-0.215813
53	32	33.0984	-1.09837
54	34	37.0096	-3.00956
55	32	32.6429	-0.642943
56	37	34.561	2.43903
57	39	34.466	4.53396
58	29	34.7577	-5.75772
59	37	35.0813	1.91866
60	35	34.022	0.977987
61	30	30.3344	-0.33436
62	38	34.1673	3.83266
63	34	34.8258	-0.825792
64	31	34.2856	-3.28557
65	34	32.829	1.17101
66	35	35.8093	-0.809297
67	36	34.6466	1.35344
68	30	30.6917	-0.691737
69	39	36.8673	2.13271
70	35	35.6092	-0.609226
71	38	35.3815	2.61853
72	31	35.7844	-4.78439
73	34	36.6594	-2.65945
74	38	37.4745	0.525486
75	34	31.3437	2.65635
76	39	32.0631	6.93694
77	37	35.9021	1.09789
78	34	32.8806	1.11937
79	28	33.1566	-5.15656
80	37	31.2257	5.77435
81	33	35.2174	-2.21742
82	35	36.2194	-1.21938
83	37	33.8819	3.11813
84	32	34.4279	-2.42786
85	33	32.9943	0.00573258
86	38	36.3866	1.61338
87	33	34.3657	-1.36567
88	29	33.0362	-4.03618
89	33	32.9718	0.0281697
90	31	35.4442	-4.44423
91	36	33.2033	2.79668
92	35	37.4356	-2.43562
93	32	31.4326	0.567449
94	29	32.4336	-3.43359
95	39	35.2258	3.77419
96	37	34.6354	2.36458
97	35	32.8608	2.13916
98	37	34.5733	2.42672
99	32	35.3851	-3.38508
100	38	35.5698	2.43016
101	37	34.5202	2.47983
102	36	36.2245	-0.224548
103	32	31.7851	0.214883
104	33	36.2948	-3.29476
105	40	32.6932	7.30678
106	38	35.1788	2.82119
107	41	36.3581	4.64188
108	36	34.1535	1.84646
109	43	36.573	6.42701
110	30	34.5479	-4.54791
111	31	33.6085	-2.60847
112	32	37.89	-5.89001
113	32	31.5311	0.468945
114	37	34.6607	2.33926
115	37	34.1056	2.89439
116	33	36.7443	-3.74435
117	34	37.149	-3.14903
118	33	34.9513	-1.9513
119	38	35.3795	2.62053
120	33	35.139	-2.13904
121	31	31.2584	-0.258413
122	38	36.953	1.04701
123	37	36.7645	0.235505
124	36	33.3491	2.65094
125	31	34.097	-3.09699
126	39	34.1185	4.88152
127	44	36.7303	7.26973
128	33	36.0907	-3.09073
129	35	33.9195	1.08051
130	32	33.6863	-1.68625
131	28	32.5729	-4.57293
132	40	35.6447	4.35532
133	27	32.3976	-5.39763
134	37	36.389	0.610964
135	32	32.5291	-0.529149
136	28	27.8165	0.183459
137	34	35.0441	-1.04406
138	30	34.3618	-4.36184
139	35	34.3349	0.665145
140	31	34.4497	-3.44974
141	32	34.1313	-2.13126
142	30	35.6883	-5.68835
143	30	35.308	-5.308
144	31	29.4924	1.50759
145	40	33.3857	6.61429
146	32	31.6329	0.36707
147	36	35.1089	0.891121
148	32	33.1388	-1.13885
149	35	32.8708	2.12915
150	38	36.8024	1.19756
151	42	35.3542	6.6458
152	34	35.9857	-1.98572
153	35	36.2062	-1.20615
154	38	33.5629	4.43708
155	33	32.988	0.0120455
156	36	33.2033	2.79668
157	32	35.3639	-3.3639
158	33	36.0907	-3.09073
159	34	33.7702	0.22983
160	32	35.4653	-3.4653
161	34	35.2691	-1.26906
162	27	30.0703	-3.07026
163	31	30.3235	0.676544
164	38	33.8024	4.19765
165	34	35.7885	-1.78854
166	24	31.2959	-7.29593
167	30	34.0692	-4.0692
168	26	30.0793	-4.07929
169	34	35.8103	-1.81027
170	27	34.6148	-7.61483
171	37	31.8391	5.1609
172	36	35.8601	0.139895
173	41	34.5031	6.49687
174	29	29.4567	-0.456737
175	36	31.8166	4.18338
176	32	34.5423	-2.5423
177	37	33.3914	3.60865
178	30	31.7905	-1.79052
179	31	33.1652	-2.16519
180	38	34.8843	3.11569
181	36	35.1205	0.879461
182	35	32.4143	2.58565
183	31	35.7427	-4.74271
184	38	33.6743	4.32574
185	22	32.2829	-10.2829
186	32	34.5168	-2.51677
187	36	33.9625	2.03752
188	39	32.9349	6.06508
189	28	30.6371	-2.63709
190	32	34.256	-2.25595
191	32	32.8928	-0.892815
192	38	37.0044	0.995579
193	32	33.2738	-1.27377
194	35	35.5733	-0.573321
195	32	33.3554	-1.3554
196	37	36.2403	0.759732
197	34	32.5377	1.46227
198	33	35.7543	-2.75431
199	33	32.783	0.216978
200	26	33.0773	-7.07726
201	30	32.291	-2.29101
202	24	32.2579	-8.25792
203	34	32.6668	1.33324
204	34	33.3823	0.6177
205	33	34.1874	-1.18739
206	34	35.2432	-1.24324
207	35	36.3194	-1.31942
208	35	34.8184	0.181585
209	36	33.8373	2.16271
210	34	33.9697	0.0303407
211	34	33.4117	0.588279
212	41	39.4278	1.5722
213	32	36.3701	-4.37015
214	30	33.2592	-3.25918
215	35	34.1846	0.815369
216	28	30.4053	-2.40527
217	33	35.2353	-2.23527
218	39	34.6603	4.33968
219	36	33.3427	2.65733
220	36	36.9699	-0.969944
221	35	33.8344	1.16559
222	38	34.4813	3.51874
223	33	33.0131	-0.0130519
224	31	33.6321	-2.63212
225	34	32.0921	1.90794
226	32	35.0714	-3.07136
227	31	33.4959	-2.49588
228	33	33.4034	-0.403449
229	34	32.9327	1.06729
230	34	34.4903	-0.490297
231	34	32.2619	1.73807
232	33	35.9229	-2.9229
233	32	34.2223	-2.22232
234	41	33.9986	7.00141
235	34	33.7387	0.261304
236	36	32.712	3.28803
237	37	32.4522	4.54783
238	36	31.2432	4.75683
239	29	32.8303	-3.83026
240	37	32.234	4.76599
241	27	33.4819	-6.48186
242	35	33.9966	1.00345
243	28	30.646	-2.64604
244	35	33.1548	1.84521
245	37	33.4632	3.53677
246	29	33.9002	-4.90023
247	32	34.6008	-2.60078
248	36	32.5374	3.46261
249	19	27.7453	-8.74526
250	21	27.1004	-6.10044
251	31	33.9341	-2.93413
252	33	32.8813	0.118655
253	36	34.1849	1.81508
254	33	33.4043	-0.404266
255	37	33.7287	3.2713
256	34	33.8484	0.151569
257	35	34.5533	0.446726
258	31	32.8222	-1.82222
259	37	34.1633	2.83673
260	35	32.5653	2.43473
261	27	32.3375	-5.33746
262	34	36.1151	-2.11513
263	40	34.0266	5.97342
264	29	33.242	-4.24198

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.0456597	0.0913194	0.95434
11	0.0124878	0.0249756	0.987512
12	0.633589	0.732822	0.366411
13	0.76431	0.471381	0.23569
14	0.674994	0.650013	0.325006
15	0.64612	0.707759	0.35388
16	0.640743	0.718513	0.359257
17	0.59257	0.814859	0.40743
18	0.513988	0.972023	0.486012
19	0.432355	0.86471	0.567645
20	0.467941	0.935882	0.532059
21	0.525823	0.948353	0.474177
22	0.479739	0.959478	0.520261
23	0.455886	0.911772	0.544114
24	0.395143	0.790287	0.604857
25	0.466993	0.933987	0.533007
26	0.703565	0.592869	0.296435
27	0.654688	0.690624	0.345312
28	0.631268	0.737464	0.368732
29	0.60546	0.78908	0.39454
30	0.552003	0.895994	0.447997
31	0.55916	0.88168	0.44084
32	0.757235	0.485531	0.242765
33	0.736385	0.52723	0.263615
34	0.711214	0.577572	0.288786
35	0.663177	0.673647	0.336823
36	0.647845	0.704309	0.352155
37	0.646373	0.707253	0.353627
38	0.60122	0.79756	0.39878
39	0.661541	0.676918	0.338459
40	0.613697	0.772605	0.386303
41	0.593424	0.813151	0.406576
42	0.544284	0.911431	0.455716
43	0.519295	0.96141	0.480705
44	0.473218	0.946436	0.526782
45	0.533498	0.933004	0.466502
46	0.498959	0.997918	0.501041
47	0.451362	0.902724	0.548638
48	0.422409	0.844818	0.577591
49	0.375489	0.750978	0.624511
50	0.37615	0.752299	0.62385
51	0.435949	0.871897	0.564051
52	0.399665	0.799331	0.600335
53	0.367355	0.73471	0.632645
54	0.336089	0.672178	0.663911
55	0.302336	0.604672	0.697664
56	0.300338	0.600675	0.699662
57	0.319069	0.638137	0.680931
58	0.432528	0.865055	0.567472
59	0.397692	0.795384	0.602308
60	0.357864	0.715728	0.642136
61	0.321634	0.643268	0.678366
62	0.31449	0.628981	0.68551
63	0.284268	0.568536	0.715732
64	0.29362	0.58724	0.70638
65	0.25909	0.518179	0.74091
66	0.227739	0.455477	0.772261
67	0.202411	0.404821	0.797589
68	0.19231	0.38462	0.80769
69	0.176516	0.353032	0.823484
70	0.151988	0.303976	0.848012
71	0.146731	0.293461	0.853269
72	0.172423	0.344846	0.827577
73	0.163399	0.326798	0.836601
74	0.140134	0.280267	0.859866
75	0.123815	0.24763	0.876185
76	0.185251	0.370501	0.814749
77	0.16186	0.32372	0.83814
78	0.13917	0.278339	0.86083
79	0.198063	0.396126	0.801937
80	0.229015	0.458031	0.770985
81	0.216209	0.432418	0.783791
82	0.191525	0.383051	0.808475
83	0.181625	0.36325	0.818375
84	0.174247	0.348493	0.825753
85	0.152225	0.30445	0.847775
86	0.137664	0.275329	0.862336
87	0.122683	0.245366	0.877317
88	0.13905	0.2781	0.86095
89	0.118664	0.237328	0.881336
90	0.134005	0.268009	0.865995
91	0.1248	0.2496	0.8752
92	0.112139	0.224277	0.887861
93	0.0973615	0.194723	0.902638
94	0.109542	0.219084	0.890458
95	0.113763	0.227526	0.886237
96	0.10545	0.2109	0.89455
97	0.0933282	0.186656	0.906672
98	0.0847228	0.169446	0.915277
99	0.0861847	0.172369	0.913815
100	0.078977	0.157954	0.921023
101	0.0732046	0.146409	0.926795
102	0.0611354	0.122271	0.938865
103	0.0517032	0.103406	0.948297
104	0.0500594	0.100119	0.949941
105	0.0924833	0.184967	0.907517
106	0.0883016	0.176603	0.911698
107	0.10709	0.214181	0.89291
108	0.0952257	0.190451	0.904774
109	0.145068	0.290136	0.854932
110	0.1662	0.3324	0.8338
111	0.16181	0.323619	0.83819
112	0.199055	0.398109	0.800945
113	0.185821	0.371642	0.814179
114	0.172791	0.345583	0.827209
115	0.167417	0.334833	0.832583
116	0.169306	0.338612	0.830694
117	0.16511	0.330219	0.83489
118	0.150096	0.300192	0.849904
119	0.142319	0.284638	0.857681
120	0.130897	0.261793	0.869103
121	0.117174	0.234349	0.882826
122	0.103207	0.206414	0.896793
123	0.0885631	0.177126	0.911437
124	0.0833389	0.166678	0.916661
125	0.0810903	0.162181	0.91891
126	0.0972784	0.194557	0.902722
127	0.176425	0.352851	0.823575
128	0.173591	0.347183	0.826409
129	0.15434	0.30868	0.84566
130	0.140406	0.280811	0.859594
131	0.16444	0.32888	0.83556
132	0.179922	0.359843	0.820078
133	0.225166	0.450331	0.774834
134	0.200693	0.401387	0.799307
135	0.178757	0.357513	0.821243
136	0.158774	0.317549	0.841226
137	0.139736	0.279473	0.860264
138	0.155917	0.311834	0.844083
139	0.136054	0.272108	0.863946
140	0.138565	0.27713	0.861435
141	0.128393	0.256787	0.871607
142	0.164787	0.329575	0.835213
143	0.192908	0.385816	0.807092
144	0.180741	0.361482	0.819259
145	0.262083	0.524165	0.737917
146	0.239509	0.479018	0.760491
147	0.214253	0.428507	0.785747
148	0.191753	0.383507	0.808247
149	0.176274	0.352548	0.823726
150	0.156117	0.312235	0.843883
151	0.236071	0.472142	0.763929
152	0.2185	0.437	0.7815
153	0.19898	0.39796	0.80102
154	0.211724	0.423448	0.788276
155	0.187217	0.374433	0.812783
156	0.183037	0.366074	0.816963
157	0.18975	0.379501	0.81025
158	0.185643	0.371286	0.814357
159	0.164623	0.329246	0.835377
160	0.167742	0.335485	0.832258
161	0.152634	0.305269	0.847366
162	0.147469	0.294938	0.852531
163	0.136856	0.273711	0.863144
164	0.170449	0.340899	0.829551
165	0.156167	0.312335	0.843833
166	0.255412	0.510825	0.744588
167	0.26065	0.521301	0.73935
168	0.260618	0.521236	0.739382
169	0.238287	0.476574	0.761713
170	0.36044	0.72088	0.63956
171	0.393456	0.786912	0.606544
172	0.357977	0.715954	0.642023
173	0.457402	0.914805	0.542598
174	0.424107	0.848215	0.575893
175	0.492991	0.985983	0.507009
176	0.469484	0.938968	0.530516
177	0.467258	0.934517	0.532742
178	0.43566	0.871321	0.56434
179	0.408523	0.817046	0.591477
180	0.401923	0.803846	0.598077
181	0.366259	0.732518	0.633741
182	0.356771	0.713541	0.643229
183	0.382872	0.765743	0.617128
184	0.449505	0.899009	0.550495
185	0.67034	0.65932	0.32966
186	0.652336	0.695329	0.347664
187	0.63699	0.726021	0.36301
188	0.769844	0.460312	0.230156
189	0.751295	0.49741	0.248705
190	0.760963	0.478074	0.239037
191	0.731574	0.536851	0.268426
192	0.701244	0.597512	0.298756
193	0.674212	0.651576	0.325788
194	0.651577	0.696845	0.348423
195	0.61505	0.769901	0.38495
196	0.575291	0.849417	0.424709
197	0.554318	0.891365	0.445682
198	0.529768	0.940464	0.470232
199	0.487427	0.974854	0.512573
200	0.561569	0.876861	0.438431
201	0.533991	0.932018	0.466009
202	0.68055	0.638901	0.31945
203	0.67513	0.649739	0.32487
204	0.63475	0.730501	0.36525
205	0.594668	0.810664	0.405332
206	0.556415	0.887169	0.443585
207	0.523837	0.952326	0.476163
208	0.481517	0.963033	0.518483
209	0.45349	0.90698	0.54651
210	0.417112	0.834224	0.582888
211	0.373278	0.746556	0.626722
212	0.333396	0.666791	0.666604
213	0.39618	0.79236	0.60382
214	0.384991	0.769981	0.615009
215	0.34128	0.68256	0.65872
216	0.304335	0.608669	0.695665
217	0.276857	0.553713	0.723143
218	0.301871	0.603742	0.698129
219	0.270271	0.540542	0.729729
220	0.249857	0.499714	0.750143
221	0.21957	0.43914	0.78043
222	0.235464	0.470928	0.764536
223	0.197989	0.395979	0.802011
224	0.172008	0.344016	0.827992
225	0.262415	0.524829	0.737585
226	0.238153	0.476307	0.761847
227	0.211562	0.423123	0.788438
228	0.226845	0.453689	0.773155
229	0.18847	0.37694	0.81153
230	0.153308	0.306617	0.846692
231	0.146148	0.292296	0.853852
232	0.2655	0.531	0.7345
233	0.239818	0.479636	0.760182
234	0.317056	0.634113	0.682944
235	0.270519	0.541038	0.729481
236	0.300299	0.600597	0.699701
237	0.273373	0.546747	0.726627
238	0.375683	0.751366	0.624317
239	0.320198	0.640396	0.679802
240	0.517432	0.965136	0.482568
241	0.584048	0.831904	0.415952
242	0.509918	0.980165	0.490082
243	0.439347	0.878694	0.560653
244	0.389931	0.779863	0.610069
245	0.391802	0.783604	0.608198
246	0.61041	0.77918	0.38959
247	0.654593	0.690813	0.345407
248	0.629068	0.741865	0.370932
249	0.799465	0.40107	0.200535
250	0.806889	0.386222	0.193111
251	0.796953	0.406095	0.203047
252	0.824042	0.351917	0.175958
253	0.703307	0.593386	0.296693
254	0.552199	0.895602	0.447801

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	1	0.00408163	OK
10% type I error level	2	0.00816327	OK