Multiple Linear Regression - Estimated Regression Equation |
Intention_to_Use[t] = -1.29083 + 0.280189Perceived_Usefulness[t] + 0.167725System_Quality[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) | -1.291 | 0.8851 | -1.4580e+00 | 0.1465 | 0.07327 |
Perceived_Usefulness | +0.2802 | 0.05684 | +4.9290e+00 | 1.899e-06 | 9.496e-07 |
System_Quality | +0.1677 | 0.02828 | +5.9310e+00 | 1.56e-08 | 7.798e-09 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.6089 |
R-squared | 0.3708 |
Adjusted R-squared | 0.3637 |
F-TEST (value) | 51.86 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 176 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.566 |
Sum Squared Residuals | 431.6 |
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 | 7.549 | 2.451 |
2 | 8 | 6.598 | 1.402 |
3 | 8 | 7.606 | 0.3936 |
4 | 9 | 9.173 | -0.1731 |
5 | 5 | 6.093 | -1.093 |
6 | 10 | 8.893 | 1.107 |
7 | 8 | 8.11 | -0.1096 |
8 | 9 | 7.887 | 1.113 |
9 | 8 | 5.422 | 2.578 |
10 | 7 | 8.613 | -1.613 |
11 | 10 | 7.717 | 2.283 |
12 | 10 | 7.437 | 2.563 |
13 | 9 | 7.942 | 1.058 |
14 | 4 | 6.038 | -2.038 |
15 | 4 | 7.549 | -3.549 |
16 | 8 | 7.829 | 0.1706 |
17 | 9 | 9.789 | -0.7887 |
18 | 10 | 7.549 | 2.451 |
19 | 8 | 8.277 | -0.2773 |
20 | 5 | 6.375 | -1.375 |
21 | 10 | 8.613 | 1.387 |
22 | 8 | 7.997 | 0.002912 |
23 | 7 | 7.158 | -0.1585 |
24 | 8 | 8.11 | -0.1096 |
25 | 8 | 10.12 | -2.124 |
26 | 9 | 7.103 | 1.897 |
27 | 8 | 7.326 | 0.6738 |
28 | 6 | 5.927 | 0.07282 |
29 | 8 | 6.823 | 1.177 |
30 | 8 | 6.488 | 1.512 |
31 | 5 | 7.772 | -2.772 |
32 | 9 | 8.615 | 0.3853 |
33 | 8 | 7.774 | 0.2259 |
34 | 8 | 6.095 | 1.905 |
35 | 8 | 7.439 | 0.5614 |
36 | 6 | 7.606 | -1.606 |
37 | 6 | 5.759 | 0.2405 |
38 | 9 | 7.101 | 1.899 |
39 | 8 | 8.165 | -0.1648 |
40 | 9 | 8.78 | 0.2195 |
41 | 10 | 7.774 | 2.226 |
42 | 8 | 7.774 | 0.2259 |
43 | 8 | 6.432 | 1.568 |
44 | 7 | 6.932 | 0.06841 |
45 | 7 | 7.494 | -0.4939 |
46 | 10 | 8.613 | 1.387 |
47 | 8 | 5.592 | 2.408 |
48 | 7 | 6.823 | 0.177 |
49 | 10 | 6.934 | 3.066 |
50 | 7 | 7.214 | -0.2137 |
51 | 7 | 6.375 | 0.6249 |
52 | 9 | 8.108 | 0.8924 |
53 | 9 | 9.284 | -0.2836 |
54 | 8 | 6.991 | 1.009 |
55 | 6 | 6.766 | -0.7658 |
56 | 8 | 6.934 | 1.066 |
57 | 9 | 7.103 | 1.897 |
58 | 2 | 4.248 | -2.248 |
59 | 6 | 6.375 | -0.3751 |
60 | 8 | 7.942 | 0.05817 |
61 | 8 | 8.5 | -0.5003 |
62 | 7 | 7.16 | -0.1604 |
63 | 8 | 5.982 | 2.018 |
64 | 6 | 5.759 | 0.2405 |
65 | 10 | 6.375 | 3.625 |
66 | 10 | 7.046 | 2.954 |
67 | 10 | 6.878 | 3.122 |
68 | 8 | 7.326 | 0.6738 |
69 | 8 | 7.549 | 0.4508 |
70 | 7 | 7.774 | -0.7741 |
71 | 10 | 10.18 | -0.1795 |
72 | 5 | 6.543 | -1.543 |
73 | 3 | 4.641 | -1.641 |
74 | 2 | 4.976 | -2.976 |
75 | 3 | 4.864 | -1.864 |
76 | 4 | 6.152 | -2.152 |
77 | 2 | 4.919 | -2.919 |
78 | 6 | 5.759 | 0.2405 |
79 | 8 | 7.942 | 0.05817 |
80 | 8 | 8.11 | -0.1096 |
81 | 5 | 7.439 | -2.439 |
82 | 10 | 7.101 | 2.899 |
83 | 9 | 8.782 | 0.2176 |
84 | 8 | 8.95 | -0.9501 |
85 | 9 | 8.557 | 0.4425 |
86 | 8 | 6.766 | 1.234 |
87 | 5 | 6.265 | -1.265 |
88 | 7 | 7.101 | -0.1013 |
89 | 9 | 9.118 | -0.1178 |
90 | 8 | 7.829 | 0.1706 |
91 | 4 | 7.662 | -3.662 |
92 | 7 | 5.254 | 1.746 |
93 | 8 | 8.502 | -0.5022 |
94 | 7 | 6.991 | 0.009265 |
95 | 7 | 5.982 | 1.018 |
96 | 9 | 7.717 | 1.283 |
97 | 6 | 7.549 | -1.549 |
98 | 7 | 7.101 | -0.1013 |
99 | 4 | 6.318 | -2.318 |
100 | 6 | 6.934 | -0.9335 |
101 | 10 | 7.717 | 2.283 |
102 | 9 | 7.829 | 1.171 |
103 | 10 | 9.173 | 0.8269 |
104 | 8 | 8.277 | -0.2773 |
105 | 4 | 6.43 | -2.43 |
106 | 8 | 9.061 | -1.061 |
107 | 5 | 7.324 | -2.324 |
108 | 8 | 7.942 | 0.05817 |
109 | 9 | 9.005 | -0.005379 |
110 | 8 | 6.598 | 1.402 |
111 | 4 | 8.388 | -4.388 |
112 | 8 | 6.768 | 1.232 |
113 | 10 | 8.78 | 1.22 |
114 | 6 | 5.424 | 0.576 |
115 | 7 | 5.927 | 1.073 |
116 | 10 | 8.277 | 1.723 |
117 | 9 | 9.118 | -0.1178 |
118 | 8 | 8.78 | -0.7805 |
119 | 3 | 6.152 | -3.152 |
120 | 8 | 5.982 | 2.018 |
121 | 7 | 7.158 | -0.1585 |
122 | 7 | 6.991 | 0.009265 |
123 | 8 | 6.207 | 1.793 |
124 | 8 | 7.774 | 0.2259 |
125 | 7 | 7.772 | -0.7722 |
126 | 7 | 7.326 | -0.3262 |
127 | 9 | 10.12 | -1.124 |
128 | 9 | 8.838 | 0.1623 |
129 | 9 | 5.59 | 3.41 |
130 | 4 | 6.43 | -2.43 |
131 | 6 | 6.934 | -0.9335 |
132 | 6 | 6.318 | -0.3179 |
133 | 6 | 5.199 | 0.8009 |
134 | 8 | 7.214 | 0.7863 |
135 | 3 | 5.087 | -2.087 |
136 | 8 | 6.598 | 1.402 |
137 | 8 | 7.772 | 0.2278 |
138 | 6 | 5.367 | 0.6332 |
139 | 10 | 8.333 | 1.667 |
140 | 2 | 6.598 | -4.598 |
141 | 9 | 8.11 | 0.8904 |
142 | 6 | 6.43 | -0.4304 |
143 | 6 | 8.052 | -2.052 |
144 | 5 | 5.649 | -0.6489 |
145 | 4 | 4.864 | -0.8636 |
146 | 7 | 7.439 | -0.4386 |
147 | 5 | 6.318 | -1.318 |
148 | 8 | 8.39 | -0.3897 |
149 | 6 | 8.333 | -2.333 |
150 | 9 | 6.991 | 2.009 |
151 | 6 | 7.439 | -1.439 |
152 | 4 | 6.488 | -2.488 |
153 | 7 | 7.774 | -0.7741 |
154 | 2 | 4.246 | -2.246 |
155 | 8 | 7.885 | 0.1154 |
156 | 9 | 8.222 | 0.778 |
157 | 6 | 6.878 | -0.8783 |
158 | 5 | 4.751 | 0.2488 |
159 | 7 | 7.158 | -0.1585 |
160 | 8 | 6.768 | 1.232 |
161 | 4 | 6.43 | -2.43 |
162 | 9 | 7.046 | 1.954 |
163 | 9 | 9.286 | -0.2856 |
164 | 9 | 7.604 | 1.396 |
165 | 7 | 6.428 | 0.5716 |
166 | 5 | 6.43 | -1.43 |
167 | 7 | 8.95 | -1.95 |
168 | 9 | 10.12 | -1.124 |
169 | 8 | 7.437 | 0.5633 |
170 | 6 | 6.488 | -0.4876 |
171 | 9 | 7.101 | 1.899 |
172 | 8 | 7.494 | 0.5061 |
173 | 7 | 8.22 | -1.22 |
174 | 7 | 6.43 | 0.5696 |
175 | 7 | 7.267 | -0.267 |
176 | 8 | 7.942 | 0.05817 |
177 | 10 | 8.725 | 1.275 |
178 | 6 | 8.277 | -2.277 |
179 | 6 | 7.271 | -1.271 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.5975 | 0.8051 | 0.4025 |
7 | 0.4764 | 0.9528 | 0.5236 |
8 | 0.3327 | 0.6653 | 0.6673 |
9 | 0.3542 | 0.7085 | 0.6458 |
10 | 0.3628 | 0.7257 | 0.6372 |
11 | 0.4503 | 0.9007 | 0.5497 |
12 | 0.5054 | 0.9891 | 0.4946 |
13 | 0.4121 | 0.8242 | 0.5879 |
14 | 0.6787 | 0.6425 | 0.3213 |
15 | 0.9195 | 0.161 | 0.08049 |
16 | 0.8861 | 0.2279 | 0.1139 |
17 | 0.8524 | 0.2951 | 0.1476 |
18 | 0.8778 | 0.2444 | 0.1222 |
19 | 0.8416 | 0.3168 | 0.1584 |
20 | 0.8571 | 0.2858 | 0.1429 |
21 | 0.8335 | 0.3331 | 0.1665 |
22 | 0.7898 | 0.4203 | 0.2102 |
23 | 0.7404 | 0.5192 | 0.2596 |
24 | 0.6865 | 0.627 | 0.3135 |
25 | 0.723 | 0.5539 | 0.277 |
26 | 0.7184 | 0.5632 | 0.2816 |
27 | 0.6659 | 0.6682 | 0.3341 |
28 | 0.6194 | 0.7613 | 0.3806 |
29 | 0.5723 | 0.8553 | 0.4277 |
30 | 0.5313 | 0.9374 | 0.4687 |
31 | 0.6324 | 0.7353 | 0.3676 |
32 | 0.578 | 0.8439 | 0.4219 |
33 | 0.5221 | 0.9557 | 0.4779 |
34 | 0.4992 | 0.9985 | 0.5008 |
35 | 0.4454 | 0.8908 | 0.5546 |
36 | 0.4846 | 0.9692 | 0.5154 |
37 | 0.4437 | 0.8874 | 0.5563 |
38 | 0.4574 | 0.9148 | 0.5426 |
39 | 0.4047 | 0.8093 | 0.5953 |
40 | 0.3577 | 0.7153 | 0.6423 |
41 | 0.3875 | 0.7749 | 0.6125 |
42 | 0.3392 | 0.6783 | 0.6608 |
43 | 0.3074 | 0.6149 | 0.6926 |
44 | 0.2642 | 0.5285 | 0.7358 |
45 | 0.2351 | 0.4702 | 0.7649 |
46 | 0.2324 | 0.4647 | 0.7676 |
47 | 0.2381 | 0.4762 | 0.7619 |
48 | 0.2073 | 0.4146 | 0.7927 |
49 | 0.2977 | 0.5954 | 0.7023 |
50 | 0.2631 | 0.5263 | 0.7369 |
51 | 0.2294 | 0.4587 | 0.7706 |
52 | 0.2088 | 0.4175 | 0.7912 |
53 | 0.1759 | 0.3518 | 0.8241 |
54 | 0.1518 | 0.3037 | 0.8482 |
55 | 0.1431 | 0.2861 | 0.8569 |
56 | 0.1243 | 0.2485 | 0.8757 |
57 | 0.123 | 0.246 | 0.877 |
58 | 0.2264 | 0.4528 | 0.7736 |
59 | 0.2045 | 0.409 | 0.7955 |
60 | 0.1742 | 0.3484 | 0.8258 |
61 | 0.1491 | 0.2982 | 0.8509 |
62 | 0.1317 | 0.2633 | 0.8683 |
63 | 0.1385 | 0.277 | 0.8615 |
64 | 0.1177 | 0.2354 | 0.8823 |
65 | 0.2238 | 0.4477 | 0.7762 |
66 | 0.3068 | 0.6135 | 0.6932 |
67 | 0.4165 | 0.8329 | 0.5835 |
68 | 0.3805 | 0.761 | 0.6195 |
69 | 0.3417 | 0.6835 | 0.6583 |
70 | 0.3207 | 0.6413 | 0.6793 |
71 | 0.2823 | 0.5646 | 0.7177 |
72 | 0.3072 | 0.6145 | 0.6928 |
73 | 0.3529 | 0.7057 | 0.6471 |
74 | 0.5035 | 0.9929 | 0.4965 |
75 | 0.5348 | 0.9305 | 0.4652 |
76 | 0.5828 | 0.8345 | 0.4172 |
77 | 0.6873 | 0.6255 | 0.3127 |
78 | 0.649 | 0.7019 | 0.351 |
79 | 0.6097 | 0.7806 | 0.3903 |
80 | 0.5698 | 0.8604 | 0.4302 |
81 | 0.6348 | 0.7305 | 0.3652 |
82 | 0.7257 | 0.5485 | 0.2743 |
83 | 0.6908 | 0.6183 | 0.3092 |
84 | 0.6681 | 0.6638 | 0.3319 |
85 | 0.6327 | 0.7346 | 0.3673 |
86 | 0.6171 | 0.7659 | 0.3829 |
87 | 0.6011 | 0.7977 | 0.3989 |
88 | 0.5609 | 0.8782 | 0.4391 |
89 | 0.5195 | 0.961 | 0.4805 |
90 | 0.4785 | 0.957 | 0.5215 |
91 | 0.6668 | 0.6663 | 0.3332 |
92 | 0.6758 | 0.6484 | 0.3242 |
93 | 0.6398 | 0.7204 | 0.3602 |
94 | 0.5991 | 0.8018 | 0.4009 |
95 | 0.5761 | 0.8478 | 0.4239 |
96 | 0.5648 | 0.8704 | 0.4352 |
97 | 0.5646 | 0.8708 | 0.4354 |
98 | 0.5234 | 0.9531 | 0.4766 |
99 | 0.5736 | 0.8527 | 0.4264 |
100 | 0.5457 | 0.9086 | 0.4543 |
101 | 0.5997 | 0.8007 | 0.4003 |
102 | 0.5854 | 0.8293 | 0.4146 |
103 | 0.5592 | 0.8817 | 0.4408 |
104 | 0.5178 | 0.9644 | 0.4822 |
105 | 0.5752 | 0.8495 | 0.4248 |
106 | 0.5491 | 0.9018 | 0.4509 |
107 | 0.595 | 0.81 | 0.405 |
108 | 0.5528 | 0.8944 | 0.4472 |
109 | 0.5102 | 0.9797 | 0.4898 |
110 | 0.5054 | 0.9893 | 0.4946 |
111 | 0.7716 | 0.4568 | 0.2284 |
112 | 0.766 | 0.468 | 0.234 |
113 | 0.7563 | 0.4874 | 0.2437 |
114 | 0.7287 | 0.5425 | 0.2713 |
115 | 0.7155 | 0.569 | 0.2845 |
116 | 0.7336 | 0.5327 | 0.2664 |
117 | 0.6969 | 0.6062 | 0.3031 |
118 | 0.6633 | 0.6734 | 0.3367 |
119 | 0.7642 | 0.4716 | 0.2358 |
120 | 0.7959 | 0.4082 | 0.2041 |
121 | 0.7618 | 0.4764 | 0.2382 |
122 | 0.7253 | 0.5493 | 0.2747 |
123 | 0.7541 | 0.4917 | 0.2459 |
124 | 0.72 | 0.5599 | 0.28 |
125 | 0.6872 | 0.6256 | 0.3128 |
126 | 0.6447 | 0.7105 | 0.3553 |
127 | 0.6169 | 0.7663 | 0.3831 |
128 | 0.574 | 0.8521 | 0.426 |
129 | 0.7701 | 0.4598 | 0.2299 |
130 | 0.8056 | 0.3887 | 0.1944 |
131 | 0.7782 | 0.4436 | 0.2218 |
132 | 0.7401 | 0.5198 | 0.2599 |
133 | 0.7255 | 0.5489 | 0.2745 |
134 | 0.7031 | 0.5938 | 0.2969 |
135 | 0.7148 | 0.5704 | 0.2852 |
136 | 0.726 | 0.5479 | 0.274 |
137 | 0.6846 | 0.6308 | 0.3154 |
138 | 0.6631 | 0.6739 | 0.3369 |
139 | 0.6895 | 0.6209 | 0.3105 |
140 | 0.9256 | 0.1488 | 0.07438 |
141 | 0.9192 | 0.1615 | 0.08076 |
142 | 0.8964 | 0.2071 | 0.1036 |
143 | 0.9092 | 0.1816 | 0.09081 |
144 | 0.8844 | 0.2313 | 0.1156 |
145 | 0.857 | 0.2859 | 0.143 |
146 | 0.8218 | 0.3564 | 0.1782 |
147 | 0.8018 | 0.3964 | 0.1982 |
148 | 0.7579 | 0.4842 | 0.2421 |
149 | 0.8083 | 0.3834 | 0.1917 |
150 | 0.8703 | 0.2594 | 0.1297 |
151 | 0.852 | 0.2961 | 0.148 |
152 | 0.8852 | 0.2296 | 0.1148 |
153 | 0.8554 | 0.2892 | 0.1446 |
154 | 0.9138 | 0.1724 | 0.08618 |
155 | 0.8833 | 0.2334 | 0.1167 |
156 | 0.8703 | 0.2594 | 0.1297 |
157 | 0.8419 | 0.3162 | 0.1581 |
158 | 0.7948 | 0.4104 | 0.2052 |
159 | 0.7372 | 0.5257 | 0.2628 |
160 | 0.7506 | 0.4988 | 0.2494 |
161 | 0.8569 | 0.2862 | 0.1431 |
162 | 0.8986 | 0.2028 | 0.1014 |
163 | 0.8659 | 0.2683 | 0.1341 |
164 | 0.8623 | 0.2753 | 0.1377 |
165 | 0.8039 | 0.3923 | 0.1961 |
166 | 0.819 | 0.3619 | 0.181 |
167 | 0.7849 | 0.4301 | 0.2151 |
168 | 0.6993 | 0.6015 | 0.3007 |
169 | 0.6067 | 0.7865 | 0.3933 |
170 | 0.5131 | 0.9738 | 0.4869 |
171 | 0.5806 | 0.8388 | 0.4194 |
172 | 0.4746 | 0.9492 | 0.5254 |
173 | 0.3537 | 0.7074 | 0.6463 |
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 |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 5.2468, df1 = 2, df2 = 174, p-value = 0.006129 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 3.2213, df1 = 4, df2 = 172, p-value = 0.01401 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 6.0918, df1 = 2, df2 = 174, p-value = 0.002773 |
Variance Inflation Factors (Multicollinearity) |
> vif Perceived_Usefulness System_Quality 1.226313 1.226313 |