Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

Intention_to_Use[t] = -3.25538 + 0.338869Relative_Advantage[t] + 0.0619599Perceived_Usefulness[t] + 0.0966016Perceived_Ease_of_Use[t] + 0.0321793Information_Quality[t] + 0.0967844System_Quality[t] + 0.767678groupB[t] + 0.414423genderB[t] + 0.0226345`Intention_to_Use(t-1)`[t] + 0.0104794`Intention_to_Use(t-1s)`[t] -0.0123603`Intention_to_Use(t-2s)`[t] -0.0600236`Intention_to_Use(t-3s)`[t] + 0.11702`Intention_to_Use(t-4s)`[t] -0.0234479`Intention_to_Use(t-5s)`[t] -0.0717622`Intention_to_Use(t-6s)`[t] + 0.0995035`Intention_to_Use(t-7s)`[t] -0.040039`Intention_to_Use(t-8s)`[t] -0.0716597`Intention_to_Use(t-9s)`[t] + 0.135671`Intention_to_Use(t-10s)`[t] + 0.105795`Intention_to_Use(t-11s)`[t] + 0.0177579`Intention_to_Use(t-12s)`[t] + e[t]

Warning: you did not specify the column number of the endogenous series! The first column was selected by default.

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	-3.255	1.784	-1.8250e+00	0.07046	0.03523
Relative_Advantage	+0.3389	0.07218	+4.6950e+00	7.104e-06	3.552e-06
Perceived_Usefulness	+0.06196	0.06856	+9.0380e-01	0.3679	0.184
Perceived_Ease_of_Use	+0.0966	0.06265	+1.5420e+00	0.1257	0.06286
Information_Quality	+0.03218	0.07237	+4.4460e-01	0.6574	0.3287
System_Quality	+0.09678	0.03389	+2.8560e+00	0.005057	0.002528
groupB	+0.7677	0.2745	+2.7960e+00	0.006011	0.003006
genderB	+0.4144	0.2342	+1.7700e+00	0.07928	0.03964
`Intention_to_Use(t-1)`	+0.02263	0.06029	+3.7540e-01	0.708	0.354
`Intention_to_Use(t-1s)`	+0.01048	0.05747	+1.8230e-01	0.8556	0.4278
`Intention_to_Use(t-2s)`	-0.01236	0.05932	-2.0840e-01	0.8353	0.4176
`Intention_to_Use(t-3s)`	-0.06002	0.05714	-1.0500e+00	0.2956	0.1478
`Intention_to_Use(t-4s)`	+0.117	0.05905	+1.9820e+00	0.04979	0.02489
`Intention_to_Use(t-5s)`	-0.02345	0.06093	-3.8480e-01	0.701	0.3505
`Intention_to_Use(t-6s)`	-0.07176	0.0588	-1.2200e+00	0.2247	0.1123
`Intention_to_Use(t-7s)`	+0.0995	0.05709	+1.7430e+00	0.08392	0.04196
`Intention_to_Use(t-8s)`	-0.04004	0.05925	-6.7580e-01	0.5005	0.2502
`Intention_to_Use(t-9s)`	-0.07166	0.05597	-1.2800e+00	0.2029	0.1014
`Intention_to_Use(t-10s)`	+0.1357	0.05827	+2.3280e+00	0.02156	0.01078
`Intention_to_Use(t-11s)`	+0.1058	0.05621	+1.8820e+00	0.06222	0.03111
`Intention_to_Use(t-12s)`	+0.01776	0.05636	+3.1510e-01	0.7533	0.3766

Multiple Linear Regression - Regression Statistics
Multiple R	0.8095
R-squared	0.6552
Adjusted R-squared	0.5983
F-TEST (value)	11.5
F-TEST (DF numerator)	20
F-TEST (DF denominator)	121
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.276
Sum Squared Residuals	196.9

Menu of Residual Diagnostics
Description	Link
Histogram	Compute
Central Tendency	Compute
QQ Plot	Compute
Kernel Density Plot	Compute
Skewness/Kurtosis Test	Compute
Skewness-Kurtosis Plot	Compute
Harrell-Davis Plot	Compute
Bootstrap Plot -- Central Tendency	Compute
Blocked Bootstrap Plot -- Central Tendency	Compute
(Partial) Autocorrelation Plot	Compute
Spectral Analysis	Compute
Tukey lambda PPCC Plot	Compute
Box-Cox Normality Plot	Compute
Summary Statistics	Compute

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	9	8.374	0.6264
2	8	8.034	-0.03421
3	9	9.368	-0.368
4	10	8.652	1.348
5	8	7.895	0.1053
6	8	7.368	0.6319
7	7	7.005	-0.005456
8	7	6.921	0.0787
9	10	9.828	0.1723
10	8	6.799	1.201
11	7	6.084	0.9162
12	10	7.67	2.33
13	7	8.152	-1.152
14	7	6.292	0.7081
15	9	8.63	0.3705
16	9	10.06	-1.061
17	8	7.649	0.3513
18	6	7.686	-1.686
19	8	7.244	0.7563
20	9	7.603	1.397
21	2	3.21	-1.21
22	6	5.906	0.09438
23	8	8.032	-0.0318
24	8	7.889	0.1115
25	7	7.423	-0.4226
26	8	7.623	0.3771
27	6	5.775	0.2254
28	10	7.721	2.279
29	10	8.014	1.986
30	10	7.494	2.506
31	8	7.568	0.4324
32	8	8.626	-0.6262
33	7	7.624	-0.6239
34	10	9.426	0.5745
35	5	6.285	-1.285
36	3	3.286	-0.2862
37	2	3.876	-1.876
38	3	4.206	-1.206
39	4	5.746	-1.746
40	2	3.684	-1.684
41	6	5.182	0.8179
42	8	8.525	-0.5255
43	8	6.759	1.241
44	5	5.294	-0.2939
45	10	10.57	-0.5714
46	9	10.72	-1.722
47	8	9.864	-1.864
48	9	9.078	-0.07778
49	8	7.288	0.7123
50	5	5.969	-0.9685
51	7	6.825	0.1745
52	9	9.107	-0.1072
53	8	8.856	-0.8559
54	4	7.885	-3.885
55	7	7.048	-0.0479
56	8	8.757	-0.7566
57	7	6.933	0.067
58	7	7.567	-0.5669
59	9	8.118	0.8816
60	6	7.088	-1.088
61	7	7.439	-0.439
62	4	5.444	-1.444
63	6	7.299	-1.299
64	10	7.908	2.092
65	9	8.579	0.4208
66	10	9.677	0.3234
67	8	7.531	0.4688
68	4	4.909	-0.9091
69	8	9.201	-1.201
70	5	5.743	-0.7428
71	8	6.921	1.079
72	9	7.35	1.65
73	8	6.846	1.154
74	4	7.42	-3.42
75	8	6.109	1.891
76	10	8.889	1.111
77	6	6.488	-0.4881
78	7	7.235	-0.2346
79	10	9.247	0.7528
80	9	9.086	-0.08563
81	8	8.993	-0.9927
82	3	5.443	-2.443
83	8	6.416	1.584
84	7	6.868	0.1321
85	7	7.515	-0.5149
86	8	6.731	1.269
87	8	8.537	-0.5373
88	7	8.037	-1.037
89	7	5.758	1.242
90	9	9.788	-0.7881
91	9	8.445	0.5553
92	9	7.639	1.361
93	4	4.928	-0.9282
94	6	6.582	-0.5823
95	6	5.973	0.02665
96	6	4.239	1.761
97	8	8.687	-0.6865
98	3	3.648	-0.6483
99	8	6.117	1.883
100	8	7.738	0.2622
101	6	4.767	1.233
102	10	10	-0.002448
103	2	3.783	-1.783
104	9	7.375	1.625
105	6	5.623	0.377
106	6	7.886	-1.886
107	5	3.76	1.24
108	4	4.239	-0.2385
109	7	7.423	-0.4231
110	5	5.347	-0.3471
111	8	8.493	-0.4931
112	6	7.236	-1.236
113	9	7.36	1.64
114	6	6.197	-0.1972
115	4	3.727	0.2733
116	7	7.897	-0.8969
117	2	3.88	-1.88
118	8	8.969	-0.9694
119	9	7.997	1.003
120	6	6.242	-0.2418
121	5	5.536	-0.5365
122	7	6.795	0.2052
123	8	7.733	0.2675
124	4	5.636	-1.637
125	9	7.236	1.764
126	9	9.054	-0.05396
127	9	5.195	3.805
128	7	5.154	1.846
129	5	6.205	-1.205
130	7	7.598	-0.5984
131	9	9.509	-0.5093
132	8	7.403	0.5968
133	6	4.886	1.114
134	9	8.427	0.5728
135	8	8.577	-0.5765
136	7	6.568	0.4318
137	7	7.457	-0.4567
138	7	6.117	0.8827
139	8	7.579	0.4211
140	10	8.356	1.644
141	6	6.514	-0.5143
142	6	6.695	-0.6955

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
24	0.1392	0.2783	0.8608
25	0.06309	0.1262	0.9369
26	0.02835	0.05669	0.9717
27	0.01065	0.02131	0.9893
28	0.00584	0.01168	0.9942
29	0.06853	0.1371	0.9315
30	0.2994	0.5988	0.7006
31	0.2276	0.4551	0.7724
32	0.357	0.714	0.643
33	0.3037	0.6073	0.6963
34	0.2396	0.4791	0.7604
35	0.2274	0.4548	0.7726
36	0.1744	0.3487	0.8256
37	0.1448	0.2896	0.8552
38	0.1299	0.2597	0.8701
39	0.1889	0.3778	0.8111
40	0.2107	0.4214	0.7893
41	0.1686	0.3372	0.8314
42	0.2645	0.529	0.7355
43	0.2565	0.513	0.7435
44	0.2036	0.4072	0.7964
45	0.175	0.3501	0.825
46	0.1926	0.3852	0.8074
47	0.2672	0.5344	0.7328
48	0.2171	0.4341	0.7829
49	0.193	0.386	0.807
50	0.1571	0.3143	0.8429
51	0.1294	0.2589	0.8706
52	0.09902	0.198	0.901
53	0.1144	0.2288	0.8856
54	0.4413	0.8826	0.5587
55	0.4006	0.8013	0.5994
56	0.3708	0.7416	0.6292
57	0.3217	0.6434	0.6783
58	0.2898	0.5797	0.7102
59	0.3048	0.6096	0.6952
60	0.2984	0.5968	0.7016
61	0.2596	0.5192	0.7404
62	0.2512	0.5023	0.7488
63	0.2319	0.4638	0.7681
64	0.3693	0.7386	0.6307
65	0.3236	0.6473	0.6764
66	0.2875	0.575	0.7125
67	0.2737	0.5473	0.7263
68	0.2637	0.5273	0.7363
69	0.2469	0.4937	0.7531
70	0.2251	0.4501	0.7749
71	0.3045	0.609	0.6955
72	0.3726	0.7452	0.6274
73	0.3549	0.7097	0.6451
74	0.6188	0.7625	0.3812
75	0.6536	0.6928	0.3464
76	0.6701	0.6599	0.3299
77	0.6232	0.7536	0.3768
78	0.5722	0.8557	0.4278
79	0.5503	0.8994	0.4497
80	0.4954	0.9908	0.5046
81	0.4688	0.9377	0.5312
82	0.5847	0.8307	0.4153
83	0.6589	0.6821	0.3411
84	0.6037	0.7926	0.3963
85	0.5739	0.8522	0.4261
86	0.5714	0.8571	0.4286
87	0.5282	0.9435	0.4718
88	0.5286	0.9429	0.4714
89	0.5522	0.8956	0.4478
90	0.5149	0.9702	0.4851
91	0.5144	0.9711	0.4856
92	0.5198	0.9604	0.4802
93	0.5259	0.9482	0.4741
94	0.4985	0.997	0.5015
95	0.4472	0.8945	0.5528
96	0.558	0.884	0.442
97	0.5007	0.9985	0.4993
98	0.4742	0.9484	0.5258
99	0.5444	0.9111	0.4556
100	0.5401	0.9197	0.4599
101	0.5227	0.9545	0.4773
102	0.5314	0.9373	0.4686
103	0.5503	0.8993	0.4497
104	0.5466	0.9068	0.4534
105	0.4707	0.9414	0.5293
106	0.4518	0.9036	0.5482
107	0.4815	0.9629	0.5185
108	0.4075	0.8151	0.5925
109	0.3616	0.7233	0.6384
110	0.2851	0.5701	0.7149
111	0.3249	0.6497	0.6751
112	0.5911	0.8179	0.4089
113	0.5478	0.9044	0.4522
114	0.4502	0.9004	0.5498
115	0.369	0.738	0.631
116	0.2603	0.5206	0.7397
117	0.5607	0.8786	0.4393
118	0.5742	0.8517	0.4258

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	2	0.0210526	OK
10% type I error level	3	0.0315789	OK

Ramsey RESET F-Test for powers (2 and 3) of fitted values

> reset_test_fitted
	RESET test
data:  mylm
RESET = 4.9286, df1 = 2, df2 = 119, p-value = 0.008782

Ramsey RESET F-Test for powers (2 and 3) of regressors

> reset_test_regressors
	RESET test
data:  mylm
RESET = 1.3764, df1 = 40, df2 = 81, p-value = 0.1124

Ramsey RESET F-Test for powers (2 and 3) of principal components

> reset_test_principal_components
	RESET test
data:  mylm
RESET = 3.7963, df1 = 2, df2 = 119, p-value = 0.02522

Variance Inflation Factors (Multicollinearity)

> vif
       Relative_Advantage      Perceived_Usefulness     Perceived_Ease_of_Use 
                 1.979496                  2.165159                  2.848839 
      Information_Quality            System_Quality                    groupB 
                 3.434033                  2.244210                  1.471312 
                  genderB   `Intention_to_Use(t-1)`  `Intention_to_Use(t-1s)` 
                 1.195866                  1.275727                  1.144090 
 `Intention_to_Use(t-2s)`  `Intention_to_Use(t-3s)`  `Intention_to_Use(t-4s)` 
                 1.227888                  1.142956                  1.220771 
 `Intention_to_Use(t-5s)`  `Intention_to_Use(t-6s)`  `Intention_to_Use(t-7s)` 
                 1.292592                  1.210271                  1.144228 
 `Intention_to_Use(t-8s)`  `Intention_to_Use(t-9s)` `Intention_to_Use(t-10s)` 
                 1.256642                  1.104644                  1.173238 
`Intention_to_Use(t-11s)` `Intention_to_Use(t-12s)` 
                 1.102741                  1.083307