Multiple Linear Regression - Estimated Regression Equation
Relative_Advantage[t] = -1.16175 + 0.101195Perceived_Usefulness[t] + 0.121055Perceived_Ease_of_Use[t] + 0.121858Information_Quality[t] + 0.0616975System_Quality[t] + 1.3588groupB[t] -0.124953genderB[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0		2-tail p-value1-tail p-value
(Intercept)-1.162 0.9863-1.1780e+00 0.2405 0.1202
Perceived_Usefulness+0.1012 0.07449+1.3590e+00 0.1761 0.08803
Perceived_Ease_of_Use+0.1211 0.06728+1.7990e+00 0.07372 0.03686
Information_Quality+0.1219 0.07484+1.6280e+00 0.1053 0.05265
System_Quality+0.0617 0.03625+1.7020e+00 0.09053 0.04527
groupB+1.359 0.2962+4.5870e+00 8.613e-06 4.307e-06
genderB-0.125 0.26-4.8050e-01 0.6314 0.3157


Multiple Linear Regression - Regression Statistics
Multiple R 0.6129
R-squared 0.3756
Adjusted R-squared 0.3538
F-TEST (value) 17.24
F-TEST (DF numerator)6
F-TEST (DF denominator)172
p-value 1.443e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.673
Sum Squared Residuals 481.5


Menu of Residual Diagnostics
DescriptionLink
HistogramCompute
Central TendencyCompute
QQ PlotCompute
Kernel Density PlotCompute
Skewness/Kurtosis TestCompute
Skewness-Kurtosis PlotCompute
Harrell-Davis PlotCompute
Bootstrap Plot -- Central TendencyCompute
Blocked Bootstrap Plot -- Central TendencyCompute
(Partial) Autocorrelation PlotCompute
Spectral AnalysisCompute
Tukey lambda PPCC PlotCompute
Box-Cox Normality PlotCompute
Summary StatisticsCompute


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast		Residuals
Prediction Error
1 10 7.2 2.8
2 8 7.454 0.5461
3 6 7.089-1.089
4 10 8.149 1.851
5 8 6.186 1.814
6 10 8.897 1.103
7 7 8.125-1.125
8 10 8.284 1.716
9 6 5.206 0.7939
10 7 8.071-1.071
11 9 7.622 1.378
12 6 6.793-0.793
13 7 7.213-0.213
14 6 5.674 0.3256
15 4 7.072-3.072
16 6 7.659-1.659
17 8 8.978-0.9779
18 9 6.223 2.777
19 8 7.34 0.6597
20 6 6.4-0.3998
21 6 7.945-1.945
22 10 7.361 2.639
23 8 7.17 0.8304
24 8 7.761 0.2395
25 7 8.98-1.98
26 4 7.149-3.149
27 9 7.477 1.523
28 8 6.477 1.523
29 10 6.924 3.076
30 8 6.317 1.683
31 6 6.041-0.04114
32 7 8.426-1.426
33 8 7.397 0.6035
34 5 7.028-2.028
35 10 7.639 2.361
36 2 6.849-4.849
37 6 6.296-0.2963
38 7 7.273-0.2734
39 5 7.418-2.418
40 8 8.735-0.7353
41 7 7.758-0.7582
42 7 6.281 0.7194
43 10 6.174 3.826
44 7 6.249 0.7511
45 6 6.686-0.6862
46 10 7.216 2.784
47 6 6.353-0.3534
48 5 6.196-1.196
49 8 6.484 1.516
50 8 7.312 0.6879
51 5 6.037-1.037
52 8 7.768 0.2323
53 10 9.045 0.9547
54 7 6.746 0.2537
55 7 6.909 0.09061
56 7 7.337-0.3375
57 7 7.147-0.1466
58 2 4.146-2.146
59 4 6.643-2.643
60 6 7.699-1.699
61 7 6.911 0.08869
62 9 6.051 2.949
63 9 6.259 2.741
64 4 6.783-2.783
65 9 6.886 2.114
66 9 7.498 1.502
67 8 7.072 0.9285
68 7 6.749 0.2514
69 9 7.073 1.927
70 7 7.637-0.6372
71 6 9.004-3.004
72 7 5.468 1.532
73 2 2.46-0.4603
74 3 3.435-0.4351
75 4 3.759 0.2412
76 5 5.44-0.4399
77 2 3.663-1.663
78 6 4.454 1.546
79 8 7.946 0.05434
80 5 7.764-2.764
81 4 5.552-1.552
82 10 8.002 1.998
83 10 8.973 1.027
84 10 9.035 0.965
85 9 8.166 0.8336
86 5 6.784-1.784
87 5 6.355-1.355
88 7 6.909 0.09056
89 10 8.733 1.267
90 9 7.663 1.337
91 8 6.991 1.009
92 8 5.02 2.98
93 8 8.02-0.01989
94 8 6.624 1.376
95 8 6.379 1.621
96 7 7.38-0.38
97 6 5.859 0.1406
98 8 6.912 1.088
99 2 6.14-4.14
100 5 6.362-1.362
101 4 7.502-3.502
102 9 7.174 1.826
103 10 8.998 1.002
104 6 7.705-1.705
105 4 5.55-1.55
106 10 8.473 1.528
107 6 7.119-1.119
108 7 6.217 0.7826
109 7 6.606 0.3943
110 8 6.97 1.03
111 6 7.989-1.988
112 5 7.391-2.391
113 6 8.495-2.495
114 7 5.565 1.435
115 6 6.237-0.2369
116 9 7.457 1.543
117 9 8.246 0.7539
118 7 8.13-1.13
119 6 5.566 0.4344
120 7 6.502 0.498
121 7 7.416-0.4157
122 8 6.748 1.252
123 7 6.462 0.5384
124 8 7.636 0.3636
125 7 7.526-0.5257
126 4 5.63-1.63
127 10 9.349 0.6511
128 8 7.395 0.6054
129 8 6.725 1.275
130 2 5.667-3.667
131 6 7.095-1.095
132 4 6.015-2.015
133 4 4.129-0.129
134 9 7.195 1.805
135 2 4.939-2.939
136 6 5.733 0.2666
137 7 5.917 1.083
138 4 4.066-0.06576
139 10 8.09 1.91
140 3 4.52-1.52
141 7 6.279 0.7209
142 4 5.302-1.302
143 8 6.873 1.127
144 4 4.652-0.6518
145 5 4.127 0.8733
146 6 6.546-0.546
147 5 5.386-0.3862
148 9 6.26 2.74
149 6 6.247-0.2466
150 8 5.506 2.494
151 4 6.788-2.788
152 4 4.471-0.4705
153 8 6.281 1.719
154 4 2.811 1.189
155 10 7.438 2.562
156 8 7.556 0.4437
157 5 6.465-1.465
158 3 5.057-2.057
159 7 5.689 1.311
160 6 7.388-1.388
161 5 6.423-1.423
162 5 5.771-0.7705
163 9 8.796 0.2041
164 2 5.737-3.737
165 7 4.584 2.416
166 7 6.541 0.4592
167 5 6.952-1.952
168 9 9.468-0.4677
169 4 6.547-2.547
170 5 4.47 0.5303
171 9 6.4 2.6
172 7 7.049-0.04852
173 6 7.318-1.318
174 8 6.908 1.092
175 7 5.5 1.5
176 6 7.217-1.217
177 8 8.351-0.3507
178 6 6.709-0.7095
179 7 6.339 0.6607


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
10 0.7277 0.5446 0.2723
11 0.6656 0.6688 0.3344
12 0.5828 0.8345 0.4172
13 0.4583 0.9165 0.5417
14 0.3411 0.6823 0.6589
15 0.3701 0.7402 0.6299
16 0.318 0.6359 0.682
17 0.2514 0.5028 0.7486
18 0.5351 0.9298 0.4649
19 0.4689 0.9378 0.5311
20 0.4103 0.8206 0.5897
21 0.3795 0.759 0.6205
22 0.365 0.7301 0.635
23 0.2997 0.5993 0.7003
24 0.2364 0.4728 0.7636
25 0.1956 0.3913 0.8044
26 0.3014 0.6028 0.6986
27 0.3324 0.6648 0.6676
28 0.3357 0.6715 0.6643
29 0.4344 0.8688 0.5656
30 0.4422 0.8843 0.5578
31 0.3795 0.7591 0.6205
32 0.3835 0.7669 0.6165
33 0.331 0.662 0.669
34 0.4267 0.8533 0.5733
35 0.4258 0.8517 0.5742
36 0.8359 0.3281 0.1641
37 0.7996 0.4007 0.2004
38 0.7587 0.4827 0.2413
39 0.7863 0.4275 0.2137
40 0.7492 0.5017 0.2508
41 0.7149 0.5702 0.2851
42 0.6823 0.6355 0.3177
43 0.7795 0.4411 0.2205
44 0.76 0.4799 0.24
45 0.7463 0.5074 0.2537
46 0.8422 0.3157 0.1578
47 0.8146 0.3707 0.1853
48 0.8181 0.3639 0.1819
49 0.8032 0.3937 0.1968
50 0.7878 0.4244 0.2122
51 0.8205 0.359 0.1795
52 0.7939 0.4121 0.2061
53 0.7758 0.4485 0.2242
54 0.7383 0.5235 0.2617
55 0.6984 0.6033 0.3016
56 0.6694 0.6611 0.3306
57 0.6251 0.7498 0.3749
58 0.667 0.6661 0.333
59 0.7265 0.5471 0.2735
60 0.7304 0.5392 0.2696
61 0.6979 0.6041 0.3021
62 0.7684 0.4632 0.2316
63 0.8258 0.3485 0.1742
64 0.8702 0.2596 0.1298
65 0.88 0.24 0.12
66 0.8727 0.2546 0.1273
67 0.8542 0.2916 0.1458
68 0.8286 0.3427 0.1714
69 0.8339 0.3322 0.1661
70 0.8093 0.3813 0.1907
71 0.8714 0.2573 0.1286
72 0.8622 0.2756 0.1378
73 0.842 0.316 0.158
74 0.8201 0.3599 0.1799
75 0.791 0.418 0.209
76 0.7594 0.4811 0.2406
77 0.7607 0.4786 0.2393
78 0.7574 0.4852 0.2426
79 0.7281 0.5439 0.2719
80 0.8048 0.3904 0.1952
81 0.8091 0.3818 0.1909
82 0.8248 0.3505 0.1752
83 0.8081 0.3838 0.1919
84 0.7885 0.423 0.2115
85 0.7641 0.4717 0.2359
86 0.7683 0.4633 0.2317
87 0.7573 0.4855 0.2427
88 0.7217 0.5566 0.2783
89 0.7063 0.5875 0.2937
90 0.6965 0.607 0.3035
91 0.6738 0.6525 0.3262
92 0.7612 0.4776 0.2388
93 0.7388 0.5225 0.2612
94 0.7259 0.5481 0.2741
95 0.7438 0.5124 0.2562
96 0.7091 0.5819 0.2909
97 0.6832 0.6336 0.3168
98 0.6592 0.6816 0.3408
99 0.8372 0.3256 0.1628
100 0.8245 0.351 0.1755
101 0.9072 0.1856 0.09281
102 0.9226 0.1549 0.07745
103 0.9136 0.1727 0.08637
104 0.9124 0.1753 0.08764
105 0.9114 0.1772 0.08862
106 0.9115 0.1769 0.08846
107 0.8989 0.2021 0.1011
108 0.8822 0.2357 0.1178
109 0.8592 0.2817 0.1408
110 0.8415 0.317 0.1585
111 0.8453 0.3095 0.1547
112 0.8698 0.2604 0.1302
113 0.8833 0.2334 0.1167
114 0.8749 0.2502 0.1251
115 0.8495 0.3011 0.1505
116 0.8498 0.3003 0.1502
117 0.8269 0.3462 0.1731
118 0.8031 0.3938 0.1969
119 0.7743 0.4515 0.2257
120 0.74 0.52 0.26
121 0.7009 0.5982 0.2991
122 0.7084 0.5833 0.2916
123 0.7015 0.597 0.2985
124 0.6648 0.6703 0.3352
125 0.6207 0.7587 0.3793
126 0.6002 0.7996 0.3998
127 0.5564 0.8872 0.4436
128 0.5142 0.9716 0.4858
129 0.495 0.99 0.505
130 0.7037 0.5926 0.2963
131 0.665 0.6701 0.335
132 0.6648 0.6703 0.3352
133 0.6158 0.7683 0.3842
134 0.6478 0.7044 0.3522
135 0.7789 0.4421 0.2211
136 0.7382 0.5237 0.2618
137 0.7145 0.5709 0.2855
138 0.6667 0.6667 0.3333
139 0.6889 0.6223 0.3111
140 0.652 0.696 0.348
141 0.6032 0.7937 0.3968
142 0.6698 0.6603 0.3301
143 0.624 0.752 0.376
144 0.5682 0.8635 0.4318
145 0.5146 0.9709 0.4854
146 0.486 0.9719 0.514
147 0.4327 0.8654 0.5673
148 0.5361 0.9277 0.4639
149 0.4736 0.9472 0.5264
150 0.596 0.808 0.404
151 0.619 0.7621 0.381
152 0.5546 0.8909 0.4454
153 0.5506 0.8988 0.4494
154 0.5035 0.9931 0.4965
155 0.5884 0.8232 0.4116
156 0.5634 0.8733 0.4366
157 0.4992 0.9984 0.5008
158 0.6504 0.6992 0.3496
159 0.6466 0.7069 0.3534
160 0.6033 0.7934 0.3967
161 0.6368 0.7263 0.3632
162 0.5988 0.8024 0.4012
163 0.5017 0.9965 0.4983
164 0.9203 0.1595 0.07973
165 0.9436 0.1128 0.05638
166 0.8974 0.2052 0.1026
167 0.847 0.3059 0.153
168 0.7982 0.4037 0.2018
169 0.9909 0.0183 0.009149


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level0 0OK
5% type I error level10.00625OK
10% type I error level10.00625OK


Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 0.08381, df1 = 2, df2 = 170, p-value = 0.9196
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.59736, df1 = 12, df2 = 160, p-value = 0.8421
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.65921, df1 = 2, df2 = 170, p-value = 0.5186


Variance Inflation Factors (Multicollinearity)
> vif
 Perceived_Usefulness Perceived_Ease_of_Use   Information_Quality 
             1.844573              2.364299              2.683707 
       System_Quality                groupB               genderB 
             1.764786              1.115235              1.080453