Multiple Linear Regression - Estimated Regression Equation
Intention_to_Use[t] = -1.16823 + 0.296363Relative_Advantage[t] + 0.0433101Perceived_Usefulness[t] + 0.138004Perceived_Ease_of_Use[t] + 0.0376182Information_Quality[t] + 0.0837883System_Quality[t] + 1.01285groupB[t] + 0.150013genderB[t] + 0.236028M1[t] -0.245857M2[t] -0.752984M3[t] -0.304567M4[t] -0.335401M5[t] + 0.780286M6[t] -0.603831M7[t] + 0.0992369M8[t] + 0.265413M9[t] -0.876314M10[t] -0.821296M11[t] + 5.91074e-06t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0		2-tail p-value1-tail p-value
(Intercept)-1.168 0.8938-1.3070e+00 0.1931 0.09655
Relative_Advantage+0.2964 0.06064+4.8870e+00 2.48e-06 1.24e-06
Perceived_Usefulness+0.04331 0.05918+7.3180e-01 0.4654 0.2327
Perceived_Ease_of_Use+0.138 0.05347+2.5810e+00 0.01076 0.00538
Information_Quality+0.03762 0.059+6.3760e-01 0.5247 0.2623
System_Quality+0.08379 0.02919+2.8710e+00 0.004653 0.002326
groupB+1.013 0.2634+3.8450e+00 0.0001738 8.69e-05
genderB+0.15 0.2061+7.2790e-01 0.4678 0.2339
M1+0.236 0.4822+4.8950e-01 0.6252 0.3126
M2-0.2459 0.4831-5.0890e-01 0.6115 0.3058
M3-0.753 0.4822-1.5610e+00 0.1204 0.0602
M4-0.3046 0.4809-6.3330e-01 0.5275 0.2637
M5-0.3354 0.4836-6.9360e-01 0.489 0.2445
M6+0.7803 0.4875+1.6010e+00 0.1114 0.05572
M7-0.6038 0.4866-1.2410e+00 0.2164 0.1082
M8+0.09924 0.4792+2.0710e-01 0.8362 0.4181
M9+0.2654 0.4795+5.5350e-01 0.5807 0.2903
M10-0.8763 0.4821-1.8180e+00 0.071 0.0355
M11-0.8213 0.4843-1.6960e+00 0.09188 0.04594
t+5.911e-06 0.002054+2.8770e-03 0.9977 0.4989


Multiple Linear Regression - Regression Statistics
Multiple R 0.7885
R-squared 0.6218
Adjusted R-squared 0.5766
F-TEST (value) 13.76
F-TEST (DF numerator)19
F-TEST (DF denominator)159
p-value 0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.277
Sum Squared Residuals 259.5


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 8.664 1.336
2 8 8.088-0.08837
3 8 6.876 1.124
4 9 9.25-0.2498
5 5 6.808-1.808
6 10 11.06-1.057
7 8 8.138-0.1375
8 9 9.697-0.6973
9 8 6.456 1.544
10 7 7.653-0.6528
11 10 8.109 1.891
12 10 7.371 2.629
13 9 8.229 0.7712
14 4 6.231-2.231
15 4 6.448-2.448
16 8 7.784 0.2164
17 9 9.628-0.6277
18 10 8.698 1.302
19 8 7.565 0.4351
20 5 6.943-1.943
21 10 8.749 1.251
22 8 7.879 0.1206
23 7 7.349-0.3488
24 8 8.724-0.7242
25 8 9.932-1.932
26 9 6.628 2.372
27 8 7.886 0.1143
28 6 7.369-1.369
29 8 8.222-0.2223
30 8 8.24-0.2396
31 5 6.36-1.36
32 9 8.941 0.05889
33 8 8.559-0.5592
34 8 6.055 1.945
35 8 8.011-0.01053
36 6 6.081-0.08062
37 6 7.007-1.007
38 9 7.931 1.069
39 8 6.993 1.007
40 9 9.382-0.3821
41 10 8.063 1.937
42 8 7.941 0.05944
43 8 7.086 0.9144
44 7 7.491-0.4906
45 7 7.521-0.5213
46 10 8.266 1.734
47 8 6.092 1.908
48 7 6.549 0.4509
49 10 7.998 2.002
50 7 8.287-1.287
51 7 5.281 1.719
52 9 8.622 0.3784
53 9 10.05-1.045
54 8 8.17-0.1696
55 6 7.142-1.142
56 8 7.942 0.05826
57 9 8.115 0.8845
58 2 2.855-0.8555
59 6 5.606 0.394
60 8 8.048-0.0479
61 8 8.257-0.2567
62 7 7.007-0.007362
63 8 6.978 1.022
64 6 6.125-0.1251
65 10 7.649 2.351
66 10 9.313 0.6869
67 10 7.336 2.664
68 8 7.518 0.4818
69 8 8.748-0.748
70 7 7.384-0.3842
71 10 8.502 1.498
72 5 6.325-1.325
73 3 2.992 0.008241
74 2 3.438-1.438
75 3 3.682-0.6816
76 4 5.562-1.562
77 2 3.305-1.305
78 6 5.887 0.1133
79 8 7.925 0.07549
80 8 7.647 0.3533
81 5 5.679-0.6792
82 10 8.716 1.284
83 9 9.345-0.345
84 8 10.25-2.25
85 9 9.56-0.5597
86 8 7.058 0.9421
87 5 5.647-0.6471
88 7 7.559-0.5587
89 9 9.685-0.6849
90 8 9.47-1.47
91 4 7.504-3.504
92 7 6.848 0.1515
93 8 9.432-1.432
94 7 6.772 0.2281
95 7 6.738 0.2619
96 9 8.062 0.9378
97 6 6.851-0.8512
98 7 7.827-0.8266
99 4 4.795-0.795
100 6 6.531-0.531
101 10 6.875 3.125
102 9 9.306-0.3064
103 10 9.716 0.2836
104 8 7.889 0.111
105 4 5.88-1.88
106 8 9.133-1.133
107 5 6.703-1.703
108 8 7.394 0.6055
109 9 7.868 1.132
110 8 7.751 0.2491
111 4 7.749-3.749
112 8 6.811 1.189
113 10 8.282 1.718
114 6 7.292-1.292
115 7 6.114 0.8862
116 10 8.991 1.009
117 9 9.739-0.7386
118 8 7.824 0.1755
119 3 5.091-2.091
120 8 7.314 0.6861
121 7 8.098-1.098
122 7 7.239-0.2394
123 8 6.141 1.859
124 8 8.353-0.353
125 7 7.688-0.6881
126 7 6.56 0.4395
127 9 9.907-0.9074
128 9 8.508 0.4915
129 9 8.187 0.8134
130 4 4.571-0.5714
131 6 6.55-0.5497
132 6 6.291-0.2909
133 6 4.726 1.274
134 8 8.158-0.1579
135 3 3.85-0.8498
136 8 6.024 1.976
137 8 7.189 0.8108
138 6 5.504 0.4957
139 10 8.91 1.09
140 2 4.46-2.46
141 9 7.744 1.256
142 6 4.951 1.049
143 6 7.219-1.219
144 5 4.542 0.4584
145 4 4.993-0.993
146 7 6.561 0.4393
147 5 5.248-0.248
148 8 7.572 0.4284
149 6 6.528-0.5284
150 9 7.679 1.321
151 6 5.886 0.114
152 4 4.997-0.9965
153 7 7.622-0.6223
154 2 3.01-1.01
155 8 8.502-0.5021
156 9 8.609 0.3907
157 6 6.798-0.7977
158 5 4.749 0.2513
159 7 6.071 0.9289
160 8 7.295 0.7046
161 4 6.237-2.237
162 9 7.19 1.81
163 9 9.217-0.2175
164 9 5.619 3.381
165 7 6.255 0.7448
166 5 6.615-1.615
167 7 6.019 0.9807
168 9 10.44-1.44
169 8 7.027 0.973
170 6 5.048 0.9517
171 9 7.356 1.644
172 8 7.763 0.2372
173 7 7.795-0.7946
174 7 8.694-1.694
175 7 6.194 0.8061
176 8 7.509 0.4914
177 10 9.314 0.6857
178 6 6.315-0.315
179 6 6.164-0.1637


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
23 0.9313 0.1374 0.06868
24 0.9518 0.09633 0.04817
25 0.9401 0.1198 0.05992
26 0.9652 0.06969 0.03485
27 0.9445 0.1111 0.05555
28 0.9156 0.1688 0.08442
29 0.8811 0.2378 0.1189
30 0.8981 0.2038 0.1019
31 0.8605 0.2789 0.1395
32 0.8527 0.2945 0.1473
33 0.9035 0.1929 0.09646
34 0.9347 0.1307 0.06533
35 0.9177 0.1646 0.08231
36 0.9194 0.1613 0.08063
37 0.8987 0.2025 0.1013
38 0.9303 0.1394 0.06968
39 0.9324 0.1351 0.06757
40 0.9111 0.1779 0.08895
41 0.9403 0.1193 0.05967
42 0.923 0.1539 0.07695
43 0.9031 0.1937 0.09685
44 0.8807 0.2387 0.1193
45 0.8766 0.2467 0.1234
46 0.8758 0.2484 0.1242
47 0.8758 0.2483 0.1242
48 0.8502 0.2995 0.1498
49 0.8718 0.2564 0.1282
50 0.8807 0.2385 0.1193
51 0.8822 0.2356 0.1178
52 0.8577 0.2847 0.1424
53 0.8401 0.3199 0.1599
54 0.8143 0.3714 0.1857
55 0.8028 0.3943 0.1972
56 0.7686 0.4627 0.2314
57 0.7382 0.5236 0.2618
58 0.714 0.5721 0.286
59 0.6839 0.6322 0.3161
60 0.6457 0.7087 0.3543
61 0.6025 0.7949 0.3975
62 0.5514 0.8973 0.4486
63 0.5273 0.9455 0.4727
64 0.4757 0.9514 0.5243
65 0.58 0.84 0.42
66 0.5386 0.9227 0.4614
67 0.6698 0.6604 0.3302
68 0.6312 0.7376 0.3688
69 0.6384 0.7232 0.3616
70 0.6176 0.7647 0.3824
71 0.6269 0.7462 0.3731
72 0.6123 0.7753 0.3877
73 0.5733 0.8535 0.4267
74 0.5593 0.8815 0.4407
75 0.5106 0.9789 0.4894
76 0.5083 0.9835 0.4917
77 0.4791 0.9582 0.5209
78 0.4358 0.8716 0.5642
79 0.4028 0.8056 0.5972
80 0.3602 0.7204 0.6398
81 0.3184 0.6368 0.6816
82 0.3189 0.6379 0.6811
83 0.3133 0.6265 0.6867
84 0.4158 0.8316 0.5842
85 0.3858 0.7716 0.6142
86 0.3603 0.7206 0.6397
87 0.3444 0.6888 0.6556
88 0.3104 0.6207 0.6896
89 0.278 0.556 0.722
90 0.2961 0.5922 0.7039
91 0.5982 0.8036 0.4018
92 0.5551 0.8898 0.4449
93 0.5451 0.9099 0.4549
94 0.5328 0.9344 0.4672
95 0.5055 0.989 0.4945
96 0.4974 0.9949 0.5026
97 0.4667 0.9334 0.5333
98 0.4316 0.8632 0.5684
99 0.3959 0.7918 0.6041
100 0.3622 0.7244 0.6378
101 0.6597 0.6807 0.3403
102 0.6145 0.7711 0.3855
103 0.5821 0.8359 0.4179
104 0.5412 0.9176 0.4588
105 0.5845 0.8309 0.4155
106 0.5506 0.8989 0.4494
107 0.5641 0.8717 0.4359
108 0.5501 0.8997 0.4499
109 0.5514 0.8972 0.4486
110 0.5077 0.9846 0.4923
111 0.8558 0.2884 0.1442
112 0.8498 0.3005 0.1502
113 0.883 0.234 0.117
114 0.8703 0.2595 0.1297
115 0.8637 0.2726 0.1363
116 0.8645 0.271 0.1355
117 0.851 0.298 0.149
118 0.8254 0.3492 0.1746
119 0.8391 0.3217 0.1608
120 0.8409 0.3181 0.1591
121 0.8235 0.3529 0.1765
122 0.7855 0.429 0.2145
123 0.8971 0.2058 0.1029
124 0.8795 0.2411 0.1205
125 0.8647 0.2707 0.1353
126 0.8437 0.3126 0.1563
127 0.8385 0.323 0.1615
128 0.8133 0.3733 0.1867
129 0.8272 0.3455 0.1728
130 0.8059 0.3882 0.1941
131 0.7728 0.4544 0.2272
132 0.724 0.5521 0.276
133 0.7443 0.5113 0.2557
134 0.6997 0.6006 0.3003
135 0.6789 0.6422 0.3211
136 0.7411 0.5178 0.2589
137 0.7282 0.5436 0.2718
138 0.6764 0.6472 0.3236
139 0.7576 0.4848 0.2424
140 0.9025 0.1949 0.09747
141 0.8768 0.2464 0.1232
142 0.9071 0.1858 0.0929
143 0.8827 0.2346 0.1173
144 0.8956 0.2089 0.1044
145 0.8607 0.2787 0.1393
146 0.8246 0.3507 0.1754
147 0.8697 0.2607 0.1303
148 0.8304 0.3392 0.1696
149 0.7616 0.4769 0.2384
150 0.7954 0.4091 0.2046
151 0.7323 0.5355 0.2677
152 0.883 0.234 0.117
153 0.8925 0.215 0.1075
154 0.8773 0.2454 0.1227
155 0.7837 0.4327 0.2163
156 0.9203 0.1593 0.07966


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level0 0OK
5% type I error level00OK
10% type I error level20.0149254OK


Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 7.8967, df1 = 2, df2 = 157, p-value = 0.0005398
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.2681, df1 = 38, df2 = 121, p-value = 1
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.82659, df1 = 2, df2 = 157, p-value = 0.4394


Variance Inflation Factors (Multicollinearity)
> vif
   Relative_Advantage  Perceived_Usefulness Perceived_Ease_of_Use 
             1.737870              1.997771              2.562104 
  Information_Quality        System_Quality                groupB 
             2.861608              1.962970              1.512902 
              genderB                    M1                    M2 
             1.164532              1.958256              1.965479 
                   M3                    M4                    M5 
             1.958290              1.947959              1.969514 
                   M6                    M7                    M8 
             2.001334              1.993668              1.933794 
                   M9                   M10                   M11 
             1.936254              1.957497              1.975311 
                    t 
             1.236220