Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 9.96827 + 0.0550953Separate[t] + 0.160185Software[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)	9.96827	1.45739	6.84	5.61302e-11	2.80651e-11
Separate	0.0550953	0.0418111	1.318	0.188754	0.0943769
Software	0.160185	0.0667531	2.4	0.0171113	0.00855565

Multiple Linear Regression - Regression Statistics
Multiple R	0.182763
R-squared	0.0334024
Adjusted R-squared	0.0259955
F-TEST (value)	4.50964
F-TEST (DF numerator)	2
F-TEST (DF denominator)	261
p-value	0.0118732
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.46595
Sum Squared Residuals	1587.12

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.9841	0.0158885
2	18	13.4934	4.50665
3	11	14.2994	-3.29938
4	12	12.7475	-0.747523
5	16	14.0892	1.9108
6	18	13.1679	4.83212
7	14	13.5984	0.401555
8	14	14.1943	-0.194292
9	15	13.8188	1.18117
10	15	13.5036	1.49644
11	17	13.2781	3.72193
12	19	13.7637	5.23627
13	10	13.8188	-3.81883
14	16	13.8239	2.17607
15	18	14.4096	3.59043
16	14	13.7086	0.291365
17	14	13.3332	0.666831
18	17	13.9841	3.01589
19	14	13.8239	0.176074
20	16	13.6535	2.34646
21	18	13.5484	4.45155
22	11	13.5984	-2.59844
23	14	14.1443	-0.144297
24	12	13.879	-1.87902
25	17	13.6535	3.34646
26	9	13.8137	-4.81373
27	16	13.4985	2.50154
28	14	14.2494	-0.249387
29	15	13.7086	1.29136
30	11	13.3883	-2.38826
31	16	13.5984	2.40156
32	13	13.0128	-0.0127985
33	17	13.2781	3.72193
34	15	13.929	1.07098
35	14	13.5433	0.456651
36	16	12.9077	3.09229
37	9	13.1179	-4.11789
38	15	13.7086	1.29136
39	17	13.2781	3.72193
40	13	13.3883	-0.388264
41	15	13.3332	1.66683
42	16	13.7086	2.29136
43	16	14.1341	1.8659
44	12	13.3883	-1.38826
45	15	13.1128	1.88721
46	11	13.8188	-2.81883
47	15	14.1994	0.800608
48	15	13.6035	1.39645
49	17	13.8239	3.17607
50	13	13.6535	-0.65354
51	16	14.3045	1.69552
52	14	13.223	0.777021
53	11	13.7086	-2.70864
54	12	14.1443	-2.1443
55	12	12.5322	-0.532243
56	15	12.8577	2.14229
57	16	13.7637	2.23627
58	15	13.7637	1.23627
59	12	13.7137	-1.71374
60	12	13.4434	-1.44336
61	8	12.6322	-4.63223
62	13	13.7637	-0.76373
63	11	14.1392	-3.1392
64	14	13.6586	0.34136
65	15	13.5984	1.40156
66	10	14.0892	-4.0892
67	11	14.1392	-3.1392
68	12	13.2179	-1.21788
69	15	14.0943	0.905698
70	15	13.929	1.07098
71	14	13.2332	0.76682
72	16	13.8239	2.17607
73	15	14.3596	0.640423
74	15	14.4698	0.530232
75	13	13.3781	-0.378064
76	12	13.0628	-1.06279
77	17	14.0892	2.9108
78	13	13.4383	-0.438259
79	15	13.5984	1.40156
80	13	13.3781	-0.378064
81	15	13.8739	1.12608
82	15	13.929	1.07098
83	16	13.7086	2.29136
84	15	13.6035	1.39645
85	14	13.2781	0.721926
86	15	13.5587	1.44135
87	14	13.7637	0.23627
88	13	13.6535	-0.65354
89	7	13.7086	-6.70864
90	17	13.3934	3.60664
91	13	14.1341	-1.1341
92	15	14.1494	0.850603
93	14	13.4332	0.566841
94	13	13.5433	-0.543349
95	16	13.5536	2.44645
96	12	13.979	-1.97901
97	14	13.1179	0.882111
98	17	13.7637	3.23627
99	15	13.5536	1.44645
100	17	14.1943	2.80571
101	12	13.6586	-1.65864
102	16	14.4096	1.59043
103	11	13.273	-2.27297
104	15	13.879	1.12098
105	9	13.6535	-4.65354
106	16	13.8188	2.18117
107	15	14.0392	0.960793
108	10	13.6586	-3.65864
109	10	13.4036	-3.40357
110	15	13.7637	1.23627
111	11	14.029	-3.02901
112	13	13.9892	-0.989212
113	14	13.5484	0.45155
114	18	13.4434	4.55664
115	16	13.8137	2.18627
116	14	14.2545	-0.254487
117	14	13.4536	0.546439
118	14	13.6586	0.34136
119	14	13.8739	0.126079
120	12	13.7688	-1.76883
121	14	13.5382	0.461751
122	15	14.0392	0.960793
123	15	14.3045	0.695518
124	15	13.7586	1.24137
125	13	14.1892	-1.18919
126	17	13.3332	3.66683
127	17	13.879	3.12098
128	19	13.3934	5.60664
129	15	13.5484	1.45155
130	13	13.3883	-0.388264
131	9	13.4934	-4.49335
132	15	13.2883	1.71173
133	15	13.3832	1.61684
134	15	13.9841	1.01589
135	16	13.4883	2.51175
136	11	12.622	-1.62203
137	14	13.6586	0.34136
138	11	13.4985	-2.49846
139	15	13.123	1.87701
140	13	13.3383	-0.33827
141	15	13.123	1.87701
142	16	13.4485	2.55154
143	14	14.2994	-0.299382
144	15	12.9975	2.0025
145	16	12.9577	3.0423
146	16	13.5382	2.46175
147	11	13.8739	-2.87392
148	12	13.5984	-1.59844
149	9	13.173	-4.17298
150	16	13.2383	2.76172
151	13	14.0892	-1.0892
152	16	13.5036	2.49644
153	12	13.0781	-1.07809
154	9	13.123	-4.12299
155	13	12.9577	0.0422967
156	13	14.1341	-1.1341
157	14	12.9679	1.0321
158	19	13.3934	5.60664
159	13	13.4934	-0.493355
160	12	13.3434	-1.34337
161	13	13.2332	-0.23318
162	10	13.0026	-3.0026
163	14	12.6822	1.31777
164	16	14.029	1.97099
165	10	13.7188	-3.71884
166	11	12.9026	-1.90261
167	14	13.5484	0.45155
168	12	13.2679	-1.26787
169	9	13.9841	-4.98411
170	9	13.929	-4.92902
171	11	12.4771	-1.47715
172	16	13.929	2.07098
173	9	13.4985	-4.49846
174	13	12.4669	0.533054
175	16	13.4332	2.56684
176	13	13.6586	-0.65864
177	9	13.0679	-4.06789
178	12	13.0628	-1.06279
179	16	13.2781	2.72193
180	11	13.4485	-2.44846
181	14	13.8739	0.126079
182	13	12.5822	0.417763
183	15	14.3545	0.645523
184	14	13.6535	0.34646
185	16	13.4332	2.56684
186	13	13.8739	-0.873921
187	14	13.6035	0.396455
188	15	12.7975	2.20248
189	13	12.6322	0.367768
190	11	12.7526	-1.75262
191	11	13.8739	-2.87392
192	14	14.0943	-0.094302
193	15	12.267	2.73303
194	11	13.7688	-2.76883
195	15	13.3332	1.66683
196	12	13.9841	-1.98411
197	14	13.1179	0.882111
198	14	13.929	0.0709838
199	8	13.2281	-5.22808
200	13	13.6535	-0.65354
201	9	13.5433	-4.54335
202	15	13.223	1.77702
203	17	13.1179	3.88211
204	13	13.6535	-0.65354
205	15	13.123	1.87701
206	15	13.7137	1.28626
207	14	13.7688	0.231169
208	16	13.8739	2.12608
209	13	13.3883	-0.388264
210	16	13.3883	2.61174
211	9	13.7086	-4.70864
212	16	14.3147	1.68532
213	11	13.879	-2.87902
214	10	13.0128	-3.0128
215	11	13.8188	-2.81883
216	15	12.9475	2.0525
217	17	13.6586	3.34136
218	14	13.4434	0.55664
219	8	13.1781	-5.17808
220	15	14.0392	0.960793
221	11	13.7086	-2.70864
222	16	13.5536	2.44645
223	10	13.6535	-3.65354
224	15	13.173	1.82702
225	9	13.3934	-4.39336
226	16	12.9128	3.08719
227	19	13.3332	5.66683
228	12	13.2832	-1.28317
229	8	13.2281	-5.22808
230	11	13.3383	-2.33827
231	14	12.5822	1.41776
232	9	13.6637	-4.66374
233	15	12.8026	2.19738
234	13	14.029	-1.02901
235	16	13.3332	2.66683
236	11	13.2781	-2.27807
237	12	12.5822	-0.582237
238	13	13.3781	-0.378064
239	10	13.5984	-3.59844
240	11	12.7424	-1.74242
241	12	13.0128	-1.0128
242	8	13.6586	-5.65864
243	12	11.9915	0.00850925
244	12	12.7475	-0.747523
245	15	13.2781	1.72193
246	11	13.1781	-2.17808
247	13	13.3383	-0.33827
248	14	13.173	0.827016
249	10	12.4068	-2.40675
250	12	12.5118	-0.511841
251	15	12.9628	2.0372
252	13	12.8526	0.147387
253	13	12.8026	0.197382
254	13	13.173	-0.172984
255	12	13.3883	-1.38826
256	12	13.5484	-1.54845
257	9	13.929	-4.92902
258	9	13.0128	-4.0128
259	15	13.6035	1.39645
260	10	12.1017	-2.10168
261	14	13.3832	0.616836
262	15	13.9841	1.01589
263	7	13.073	-6.07299
264	14	13.173	0.827016

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.868884	0.262232	0.131116
7	0.822584	0.354833	0.177416
8	0.721442	0.557116	0.278558
9	0.61672	0.766561	0.38328
10	0.541466	0.917068	0.458534
11	0.468179	0.936357	0.531821
12	0.621952	0.756096	0.378048
13	0.800703	0.398595	0.199297
14	0.779933	0.440134	0.220067
15	0.822029	0.355943	0.177971
16	0.78177	0.43646	0.21823
17	0.735858	0.528284	0.264142
18	0.728112	0.543775	0.271888
19	0.66823	0.66354	0.33177
20	0.608254	0.783491	0.391746
21	0.628332	0.743336	0.371668
22	0.746248	0.507504	0.253752
23	0.696778	0.606444	0.303222
24	0.693145	0.61371	0.306855
25	0.669674	0.660651	0.330326
26	0.867847	0.264307	0.132153
27	0.843962	0.312075	0.156038
28	0.807229	0.385542	0.192771
29	0.766914	0.466173	0.233086
30	0.811505	0.376991	0.188495
31	0.784422	0.431155	0.215578
32	0.759234	0.481533	0.240766
33	0.756965	0.48607	0.243035
34	0.715697	0.568606	0.284303
35	0.675299	0.649402	0.324701
36	0.647218	0.705565	0.352782
37	0.805969	0.388062	0.194031
38	0.77181	0.45638	0.22819
39	0.776803	0.446394	0.223197
40	0.751169	0.497662	0.248831
41	0.715	0.570001	0.285
42	0.68923	0.62154	0.31077
43	0.65679	0.686419	0.34321
44	0.653091	0.693819	0.346909
45	0.614273	0.771454	0.385727
46	0.655466	0.689069	0.344534
47	0.614498	0.771003	0.385502
48	0.574132	0.851735	0.425868
49	0.584955	0.830089	0.415045
50	0.557005	0.88599	0.442995
51	0.526442	0.947115	0.473558
52	0.48408	0.96816	0.51592
53	0.526496	0.947009	0.473504
54	0.528193	0.943614	0.471807
55	0.506219	0.987563	0.493781
56	0.476961	0.953921	0.523039
57	0.455211	0.910422	0.544789
58	0.416846	0.833693	0.583154
59	0.411242	0.822485	0.588758
60	0.401055	0.80211	0.598945
61	0.566199	0.867603	0.433801
62	0.535911	0.928178	0.464089
63	0.579857	0.840286	0.420143
64	0.539529	0.920942	0.460471
65	0.505593	0.988813	0.494407
66	0.591285	0.81743	0.408715
67	0.622435	0.755129	0.377565
68	0.60219	0.79562	0.39781
69	0.566185	0.86763	0.433815
70	0.531152	0.937696	0.468848
71	0.492499	0.984998	0.507501
72	0.475724	0.951449	0.524276
73	0.438061	0.876122	0.561939
74	0.400463	0.800926	0.599537
75	0.364953	0.729906	0.635047
76	0.341946	0.683892	0.658054
77	0.34957	0.699141	0.65043
78	0.317117	0.634234	0.682883
79	0.291778	0.583557	0.708222
80	0.260549	0.521098	0.739451
81	0.234039	0.468079	0.765961
82	0.208672	0.417343	0.791328
83	0.201607	0.403214	0.798393
84	0.181131	0.362261	0.818869
85	0.15799	0.31598	0.84201
86	0.139705	0.279409	0.860295
87	0.119966	0.239933	0.880034
88	0.104394	0.208787	0.895606
89	0.281545	0.56309	0.718455
90	0.303039	0.606078	0.696961
91	0.275756	0.551511	0.724244
92	0.247992	0.495985	0.752008
93	0.221278	0.442557	0.778722
94	0.19599	0.391981	0.80401
95	0.189049	0.378098	0.810951
96	0.182813	0.365627	0.817187
97	0.160905	0.321811	0.839095
98	0.175968	0.351935	0.824032
99	0.158078	0.316155	0.841922
100	0.165922	0.331843	0.834078
101	0.159074	0.318148	0.840926
102	0.147655	0.295309	0.852345
103	0.145011	0.290021	0.854989
104	0.128364	0.256729	0.871636
105	0.188707	0.377413	0.811293
106	0.182293	0.364587	0.817707
107	0.162728	0.325456	0.837272
108	0.201432	0.402864	0.798568
109	0.255514	0.511027	0.744486
110	0.234299	0.468599	0.765701
111	0.247492	0.494984	0.752508
112	0.228795	0.45759	0.771205
113	0.203489	0.406978	0.796511
114	0.265157	0.530313	0.734843
115	0.260969	0.521938	0.739031
116	0.234774	0.469549	0.765226
117	0.210475	0.420951	0.789525
118	0.186685	0.373369	0.813315
119	0.16453	0.32906	0.83547
120	0.156529	0.313059	0.843471
121	0.13718	0.274361	0.86282
122	0.122118	0.244236	0.877882
123	0.107578	0.215156	0.892422
124	0.0966872	0.193374	0.903313
125	0.0848263	0.169653	0.915174
126	0.10186	0.20372	0.89814
127	0.112766	0.225532	0.887234
128	0.196331	0.392662	0.803669
129	0.181693	0.363387	0.818307
130	0.161222	0.322444	0.838778
131	0.220452	0.440904	0.779548
132	0.206721	0.413442	0.793279
133	0.193434	0.386868	0.806566
134	0.177069	0.354137	0.822931
135	0.181123	0.362247	0.818877
136	0.170999	0.341998	0.829001
137	0.151387	0.302775	0.848613
138	0.154709	0.309418	0.845291
139	0.145351	0.290702	0.854649
140	0.12807	0.256139	0.87193
141	0.120094	0.240187	0.879906
142	0.123168	0.246337	0.876832
143	0.106834	0.213668	0.893166
144	0.101614	0.203229	0.898386
145	0.108444	0.216888	0.891556
146	0.112473	0.224945	0.887527
147	0.117252	0.234504	0.882748
148	0.106794	0.213589	0.893206
149	0.145497	0.290993	0.854503
150	0.152405	0.304809	0.847595
151	0.135582	0.271164	0.864418
152	0.140767	0.281534	0.859233
153	0.130012	0.260025	0.869988
154	0.171203	0.342406	0.828797
155	0.15021	0.300419	0.84979
156	0.132439	0.264877	0.867561
157	0.119412	0.238824	0.880588
158	0.226513	0.453025	0.773487
159	0.201752	0.403503	0.798248
160	0.186299	0.372599	0.813701
161	0.165799	0.331598	0.834201
162	0.180819	0.361637	0.819181
163	0.1626	0.325199	0.8374
164	0.161716	0.323431	0.838284
165	0.183811	0.367621	0.816189
166	0.175147	0.350294	0.824853
167	0.155421	0.310841	0.844579
168	0.140339	0.280677	0.859661
169	0.195699	0.391398	0.804301
170	0.261945	0.523889	0.738055
171	0.244739	0.489478	0.755261
172	0.248138	0.496276	0.751862
173	0.307919	0.615839	0.692081
174	0.276557	0.553114	0.723443
175	0.282678	0.565356	0.717322
176	0.253651	0.507302	0.746349
177	0.301386	0.602771	0.698614
178	0.27448	0.54896	0.72552
179	0.287539	0.575077	0.712461
180	0.279965	0.55993	0.720035
181	0.252112	0.504224	0.747888
182	0.223747	0.447495	0.776253
183	0.205602	0.411203	0.794398
184	0.182687	0.365374	0.817313
185	0.193779	0.387559	0.806221
186	0.170204	0.340408	0.829796
187	0.150649	0.301299	0.849351
188	0.147464	0.294928	0.852536
189	0.127091	0.254181	0.872909
190	0.11737	0.234739	0.88263
191	0.114987	0.229973	0.885013
192	0.0989063	0.197813	0.901094
193	0.100343	0.200686	0.899657
194	0.0975665	0.195133	0.902433
195	0.0924803	0.184961	0.90752
196	0.0821579	0.164316	0.917842
197	0.0715323	0.143065	0.928468
198	0.0601043	0.120209	0.939896
199	0.100476	0.200951	0.899524
200	0.0842673	0.168535	0.915733
201	0.113018	0.226036	0.886982
202	0.107333	0.214666	0.892667
203	0.146619	0.293238	0.853381
204	0.124615	0.24923	0.875385
205	0.121237	0.242474	0.878763
206	0.112696	0.225392	0.887304
207	0.0966414	0.193283	0.903359
208	0.103003	0.206006	0.896997
209	0.0858569	0.171714	0.914143
210	0.0980654	0.196131	0.901935
211	0.128569	0.257138	0.871431
212	0.139988	0.279975	0.860012
213	0.129714	0.259427	0.870286
214	0.130345	0.260689	0.869655
215	0.121916	0.243833	0.878084
216	0.118368	0.236736	0.881632
217	0.163725	0.327449	0.836275
218	0.145754	0.291508	0.854246
219	0.213237	0.426475	0.786763
220	0.208554	0.417107	0.791446
221	0.190861	0.381722	0.809139
222	0.224181	0.448363	0.775819
223	0.228622	0.457244	0.771378
224	0.229758	0.459516	0.770242
225	0.264393	0.528785	0.735607
226	0.325724	0.651449	0.674276
227	0.644617	0.710766	0.355383
228	0.596332	0.807336	0.403668
229	0.703889	0.592223	0.296111
230	0.669756	0.660488	0.330244
231	0.65212	0.695761	0.34788
232	0.7066	0.5868	0.2934
233	0.73929	0.52142	0.26071
234	0.690126	0.619747	0.309874
235	0.762826	0.474349	0.237174
236	0.728943	0.542114	0.271057
237	0.676746	0.646507	0.323254
238	0.621664	0.756672	0.378336
239	0.634105	0.73179	0.365895
240	0.581322	0.837356	0.418678
241	0.516651	0.966698	0.483349
242	0.707394	0.585212	0.292606
243	0.663093	0.673814	0.336907
244	0.599245	0.80151	0.400755
245	0.595343	0.809314	0.404657
246	0.536684	0.926633	0.463316
247	0.463867	0.927733	0.536133
248	0.423837	0.847674	0.576163
249	0.398222	0.796444	0.601778
250	0.363194	0.726387	0.636806
251	0.484718	0.969435	0.515282
252	0.426951	0.853902	0.573049
253	0.514892	0.970215	0.485108
254	0.418714	0.837427	0.581286
255	0.313831	0.627662	0.686169
256	0.235714	0.471428	0.764286
257	0.375371	0.750742	0.624629
258	0.434791	0.869582	0.565209

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	0	0	OK