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 | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-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 | |
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 | 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-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
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 tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 2 | 0.0149254 | OK |
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 |