Multiple Linear Regression - Estimated Regression Equation |
Intention_to_Use[t] = -1.06965 + 0.410284Relative_Advantage[t] + 0.141902Perceived_Ease_of_Use[t] + 0.107823System_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) | -1.07 | 0.7781 | -1.3750e+00 | 0.171 | 0.0855 |
Relative_Advantage | +0.4103 | 0.058 | +7.0730e+00 | 3.486e-11 | 1.743e-11 |
Perceived_Ease_of_Use | +0.1419 | 0.04262 | +3.3290e+00 | 0.001062 | 0.0005309 |
System_Quality | +0.1078 | 0.02607 | +4.1360e+00 | 5.479e-05 | 2.739e-05 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.7219 |
R-squared | 0.5212 |
Adjusted R-squared | 0.513 |
F-TEST (value) | 63.49 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 175 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.37 |
Sum Squared Residuals | 328.5 |
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 | 8.334 | 1.666 |
2 | 8 | 7.791 | 0.2085 |
3 | 8 | 6.937 | 1.063 |
4 | 9 | 9.225 | -0.2249 |
5 | 5 | 7.014 | -2.014 |
6 | 10 | 9.934 | 0.06558 |
7 | 8 | 8.096 | -0.09629 |
8 | 9 | 9.146 | -0.1456 |
9 | 8 | 6.046 | 1.954 |
10 | 7 | 8.136 | -1.136 |
11 | 10 | 8.883 | 1.117 |
12 | 10 | 7.084 | 2.916 |
13 | 9 | 7.421 | 1.579 |
14 | 4 | 6.261 | -2.261 |
15 | 4 | 6.44 | -2.44 |
16 | 8 | 7.402 | 0.5978 |
17 | 9 | 9.471 | -0.4714 |
18 | 10 | 7.782 | 2.218 |
19 | 8 | 7.905 | 0.09511 |
20 | 5 | 6.364 | -1.364 |
21 | 10 | 7.868 | 2.132 |
22 | 8 | 8.725 | -0.7255 |
23 | 7 | 7.65 | -0.6496 |
24 | 8 | 8.223 | -0.2228 |
25 | 8 | 9.135 | -1.135 |
26 | 9 | 6.077 | 2.923 |
27 | 8 | 8.451 | -0.4515 |
28 | 6 | 7.218 | -1.218 |
29 | 8 | 8.255 | -0.2545 |
30 | 8 | 7.218 | 0.7817 |
31 | 5 | 7.442 | -2.442 |
32 | 9 | 8.023 | 0.9774 |
33 | 8 | 8.007 | -0.007129 |
34 | 8 | 6.237 | 1.763 |
35 | 8 | 8.612 | -0.612 |
36 | 6 | 5.154 | 0.8462 |
37 | 6 | 6.29 | -0.2899 |
38 | 9 | 7.705 | 1.295 |
39 | 8 | 7.066 | 0.9343 |
40 | 9 | 9.222 | -0.2217 |
41 | 10 | 7.739 | 2.261 |
42 | 8 | 7.739 | 0.2613 |
43 | 8 | 7.539 | 0.4606 |
44 | 7 | 7.426 | -0.4264 |
45 | 7 | 6.619 | 0.381 |
46 | 10 | 9.083 | 0.917 |
47 | 8 | 6.182 | 1.818 |
48 | 7 | 5.777 | 1.223 |
49 | 10 | 7.44 | 2.56 |
50 | 7 | 8.149 | -1.149 |
51 | 7 | 5.386 | 1.614 |
52 | 9 | 8.904 | 0.09621 |
53 | 9 | 10.37 | -1.366 |
54 | 8 | 6.99 | 1.01 |
55 | 6 | 7.489 | -1.489 |
56 | 8 | 7.455 | 0.5451 |
57 | 9 | 7.166 | 1.834 |
58 | 2 | 3.792 | -1.792 |
59 | 6 | 5.685 | 0.315 |
60 | 8 | 7.294 | 0.7056 |
61 | 8 | 8.528 | -0.5276 |
62 | 7 | 7.805 | -0.8046 |
63 | 8 | 7.702 | 0.2977 |
64 | 6 | 5.611 | 0.3888 |
65 | 10 | 7.736 | 2.264 |
66 | 10 | 8.31 | 1.69 |
67 | 10 | 7.65 | 2.35 |
68 | 8 | 7.063 | 0.9367 |
69 | 8 | 8.207 | -0.2074 |
70 | 7 | 7.597 | -0.5968 |
71 | 10 | 8.656 | 1.344 |
72 | 5 | 6.882 | -1.882 |
73 | 3 | 2.833 | 0.1675 |
74 | 2 | 3.742 | -1.742 |
75 | 3 | 4.686 | -1.686 |
76 | 4 | 5.914 | -1.914 |
77 | 2 | 3.939 | -1.939 |
78 | 6 | 5.58 | 0.4196 |
79 | 8 | 8.115 | -0.115 |
80 | 8 | 6.85 | 1.15 |
81 | 5 | 5.583 | -0.5827 |
82 | 10 | 9.361 | 0.6388 |
83 | 9 | 9.645 | -0.645 |
84 | 8 | 9.753 | -1.753 |
85 | 9 | 8.883 | 0.1172 |
86 | 8 | 6.668 | 1.332 |
87 | 5 | 5.664 | -0.664 |
88 | 7 | 7.421 | -0.4209 |
89 | 9 | 9.577 | -0.5769 |
90 | 8 | 8.491 | -0.4912 |
91 | 4 | 7.689 | -3.689 |
92 | 7 | 6.617 | 0.3834 |
93 | 8 | 8.683 | -0.6826 |
94 | 7 | 7.4 | -0.3999 |
95 | 7 | 7.15 | -0.1501 |
96 | 9 | 7.778 | 1.222 |
97 | 6 | 6.125 | -0.1251 |
98 | 7 | 7.973 | -0.973 |
99 | 4 | 4.762 | -0.7622 |
100 | 6 | 6.209 | -0.2087 |
101 | 10 | 6.548 | 3.452 |
102 | 9 | 8.207 | 0.7926 |
103 | 10 | 9.934 | 0.06558 |
104 | 8 | 7.226 | 0.7738 |
105 | 4 | 5.901 | -1.901 |
106 | 8 | 9.758 | -1.758 |
107 | 5 | 7.192 | -2.192 |
108 | 8 | 7.847 | 0.1534 |
109 | 9 | 8.028 | 0.9719 |
110 | 8 | 7.791 | 0.2085 |
111 | 4 | 7.941 | -3.941 |
112 | 8 | 6.271 | 1.729 |
113 | 10 | 7.833 | 2.167 |
114 | 6 | 6.201 | -0.2007 |
115 | 7 | 6.256 | 0.7442 |
116 | 10 | 8.599 | 1.401 |
117 | 9 | 9.025 | -0.02468 |
118 | 8 | 8.102 | -0.1019 |
119 | 3 | 6.182 | -3.182 |
120 | 8 | 7.024 | 0.9763 |
121 | 7 | 7.381 | -0.3812 |
122 | 7 | 7.116 | -0.1161 |
123 | 8 | 6.382 | 1.618 |
124 | 8 | 8.149 | -0.149 |
125 | 7 | 7.71 | -0.7103 |
126 | 7 | 5.832 | 1.168 |
127 | 9 | 10.37 | -1.366 |
128 | 9 | 8.756 | 0.2437 |
129 | 9 | 7.826 | 1.174 |
130 | 4 | 5.364 | -1.364 |
131 | 6 | 6.903 | -0.9028 |
132 | 6 | 5.583 | 0.4173 |
133 | 6 | 4.902 | 1.098 |
134 | 8 | 8.276 | -0.2755 |
135 | 3 | 4.757 | -1.757 |
136 | 8 | 6.829 | 1.171 |
137 | 8 | 8.278 | -0.2779 |
138 | 6 | 5.01 | 0.9905 |
139 | 10 | 9.509 | 0.4913 |
140 | 2 | 4.605 | -2.605 |
141 | 9 | 7.954 | 1.046 |
142 | 6 | 6.043 | -0.04253 |
143 | 6 | 8.83 | -2.83 |
144 | 5 | 4.612 | 0.3877 |
145 | 4 | 5.238 | -1.238 |
146 | 7 | 6.261 | 0.7386 |
147 | 5 | 6.277 | -1.277 |
148 | 8 | 8.491 | -0.4912 |
149 | 6 | 7.442 | -1.442 |
150 | 9 | 7.4 | 1.6 |
151 | 6 | 5.725 | 0.2754 |
152 | 4 | 5.01 | -1.01 |
153 | 7 | 8.007 | -1.007 |
154 | 2 | 4.442 | -2.442 |
155 | 8 | 9.259 | -1.259 |
156 | 9 | 8.115 | 0.885 |
157 | 6 | 5.993 | 0.006976 |
158 | 5 | 4.951 | 0.04877 |
159 | 7 | 7.239 | -0.2393 |
160 | 8 | 6.682 | 1.318 |
161 | 4 | 6.027 | -2.027 |
162 | 9 | 6.668 | 2.332 |
163 | 9 | 9.558 | -0.5582 |
164 | 9 | 5.551 | 3.449 |
165 | 7 | 6.961 | 0.03892 |
166 | 5 | 6.99 | -1.99 |
167 | 7 | 6.992 | 0.008076 |
168 | 9 | 9.955 | -0.9554 |
169 | 8 | 6.122 | 1.878 |
170 | 6 | 5.562 | 0.4383 |
171 | 9 | 8.809 | 0.191 |
172 | 8 | 7.597 | 0.4032 |
173 | 7 | 7.692 | -0.6916 |
174 | 7 | 7.684 | -0.6837 |
175 | 7 | 7.784 | -0.784 |
176 | 8 | 6.869 | 1.131 |
177 | 10 | 8.438 | 1.562 |
178 | 6 | 7.652 | -1.652 |
179 | 6 | 7.415 | -1.415 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.7074 | 0.5853 | 0.2926 |
8 | 0.6007 | 0.7986 | 0.3993 |
9 | 0.6211 | 0.7577 | 0.3789 |
10 | 0.5359 | 0.9282 | 0.4641 |
11 | 0.4973 | 0.9947 | 0.5027 |
12 | 0.7253 | 0.5494 | 0.2747 |
13 | 0.6712 | 0.6576 | 0.3288 |
14 | 0.871 | 0.258 | 0.129 |
15 | 0.9314 | 0.1372 | 0.0686 |
16 | 0.907 | 0.1861 | 0.09303 |
17 | 0.8721 | 0.2557 | 0.1279 |
18 | 0.8818 | 0.2363 | 0.1182 |
19 | 0.8423 | 0.3154 | 0.1577 |
20 | 0.8319 | 0.3361 | 0.1681 |
21 | 0.8764 | 0.2473 | 0.1236 |
22 | 0.869 | 0.262 | 0.131 |
23 | 0.8362 | 0.3277 | 0.1638 |
24 | 0.7945 | 0.411 | 0.2055 |
25 | 0.7853 | 0.4294 | 0.2147 |
26 | 0.899 | 0.202 | 0.101 |
27 | 0.8739 | 0.2523 | 0.1261 |
28 | 0.8669 | 0.2661 | 0.1331 |
29 | 0.8321 | 0.3358 | 0.1679 |
30 | 0.8042 | 0.3917 | 0.1958 |
31 | 0.8784 | 0.2433 | 0.1216 |
32 | 0.8592 | 0.2815 | 0.1408 |
33 | 0.8252 | 0.3496 | 0.1748 |
34 | 0.8252 | 0.3496 | 0.1748 |
35 | 0.7962 | 0.4077 | 0.2039 |
36 | 0.7598 | 0.4805 | 0.2402 |
37 | 0.7265 | 0.547 | 0.2735 |
38 | 0.7125 | 0.575 | 0.2875 |
39 | 0.6785 | 0.6429 | 0.3215 |
40 | 0.6307 | 0.7386 | 0.3693 |
41 | 0.6889 | 0.6222 | 0.3111 |
42 | 0.6422 | 0.7156 | 0.3578 |
43 | 0.5956 | 0.8089 | 0.4044 |
44 | 0.5501 | 0.8999 | 0.4499 |
45 | 0.5004 | 0.9993 | 0.4996 |
46 | 0.4786 | 0.9572 | 0.5214 |
47 | 0.4807 | 0.9613 | 0.5193 |
48 | 0.4501 | 0.9002 | 0.5499 |
49 | 0.5524 | 0.8953 | 0.4476 |
50 | 0.5481 | 0.9038 | 0.4519 |
51 | 0.5339 | 0.9322 | 0.4661 |
52 | 0.4861 | 0.9723 | 0.5139 |
53 | 0.467 | 0.934 | 0.533 |
54 | 0.4337 | 0.8674 | 0.5663 |
55 | 0.4628 | 0.9256 | 0.5372 |
56 | 0.4199 | 0.8399 | 0.5801 |
57 | 0.4348 | 0.8697 | 0.5652 |
58 | 0.5576 | 0.8848 | 0.4424 |
59 | 0.5135 | 0.9729 | 0.4865 |
60 | 0.4756 | 0.9512 | 0.5244 |
61 | 0.4367 | 0.8733 | 0.5633 |
62 | 0.4139 | 0.8278 | 0.5861 |
63 | 0.3717 | 0.7435 | 0.6283 |
64 | 0.3316 | 0.6632 | 0.6684 |
65 | 0.3967 | 0.7935 | 0.6033 |
66 | 0.4165 | 0.833 | 0.5835 |
67 | 0.4941 | 0.9883 | 0.5059 |
68 | 0.4664 | 0.9328 | 0.5336 |
69 | 0.4265 | 0.853 | 0.5735 |
70 | 0.3961 | 0.7922 | 0.6039 |
71 | 0.3955 | 0.7911 | 0.6045 |
72 | 0.4531 | 0.9061 | 0.5469 |
73 | 0.4181 | 0.8363 | 0.5819 |
74 | 0.4653 | 0.9306 | 0.5347 |
75 | 0.4957 | 0.9913 | 0.5043 |
76 | 0.5414 | 0.9172 | 0.4586 |
77 | 0.5848 | 0.8303 | 0.4152 |
78 | 0.5466 | 0.9068 | 0.4534 |
79 | 0.5049 | 0.9902 | 0.4951 |
80 | 0.4896 | 0.9792 | 0.5104 |
81 | 0.4544 | 0.9088 | 0.5456 |
82 | 0.4223 | 0.8446 | 0.5777 |
83 | 0.3927 | 0.7853 | 0.6073 |
84 | 0.4204 | 0.8409 | 0.5796 |
85 | 0.38 | 0.7601 | 0.62 |
86 | 0.376 | 0.7519 | 0.624 |
87 | 0.3441 | 0.6883 | 0.6559 |
88 | 0.3099 | 0.6198 | 0.6901 |
89 | 0.2796 | 0.5592 | 0.7204 |
90 | 0.2497 | 0.4995 | 0.7503 |
91 | 0.4952 | 0.9904 | 0.5048 |
92 | 0.4565 | 0.913 | 0.5435 |
93 | 0.4237 | 0.8473 | 0.5763 |
94 | 0.3847 | 0.7695 | 0.6153 |
95 | 0.3445 | 0.689 | 0.6555 |
96 | 0.3362 | 0.6724 | 0.6638 |
97 | 0.2988 | 0.5976 | 0.7012 |
98 | 0.279 | 0.5579 | 0.721 |
99 | 0.2552 | 0.5104 | 0.7448 |
100 | 0.2222 | 0.4444 | 0.7778 |
101 | 0.4199 | 0.8398 | 0.5801 |
102 | 0.3943 | 0.7886 | 0.6057 |
103 | 0.3539 | 0.7077 | 0.6461 |
104 | 0.3287 | 0.6574 | 0.6713 |
105 | 0.3658 | 0.7317 | 0.6342 |
106 | 0.3856 | 0.7713 | 0.6144 |
107 | 0.4448 | 0.8896 | 0.5552 |
108 | 0.4022 | 0.8044 | 0.5978 |
109 | 0.3832 | 0.7663 | 0.6168 |
110 | 0.3429 | 0.6858 | 0.6571 |
111 | 0.6475 | 0.7049 | 0.3525 |
112 | 0.6731 | 0.6538 | 0.3269 |
113 | 0.7315 | 0.537 | 0.2685 |
114 | 0.6932 | 0.6136 | 0.3068 |
115 | 0.6674 | 0.6652 | 0.3326 |
116 | 0.6773 | 0.6455 | 0.3227 |
117 | 0.6359 | 0.7282 | 0.3641 |
118 | 0.592 | 0.8161 | 0.408 |
119 | 0.7653 | 0.4694 | 0.2347 |
120 | 0.7497 | 0.5006 | 0.2503 |
121 | 0.7129 | 0.5741 | 0.2871 |
122 | 0.6718 | 0.6565 | 0.3282 |
123 | 0.6999 | 0.6003 | 0.3001 |
124 | 0.6575 | 0.6851 | 0.3425 |
125 | 0.6204 | 0.7593 | 0.3796 |
126 | 0.6092 | 0.7815 | 0.3908 |
127 | 0.6008 | 0.7983 | 0.3992 |
128 | 0.5554 | 0.8892 | 0.4446 |
129 | 0.5537 | 0.8925 | 0.4463 |
130 | 0.5711 | 0.8577 | 0.4289 |
131 | 0.5388 | 0.9224 | 0.4612 |
132 | 0.4939 | 0.9878 | 0.5061 |
133 | 0.4862 | 0.9724 | 0.5138 |
134 | 0.4379 | 0.8758 | 0.5621 |
135 | 0.5088 | 0.9824 | 0.4912 |
136 | 0.4988 | 0.9977 | 0.5012 |
137 | 0.4498 | 0.8996 | 0.5502 |
138 | 0.4351 | 0.8703 | 0.5649 |
139 | 0.4111 | 0.8222 | 0.5889 |
140 | 0.5442 | 0.9115 | 0.4558 |
141 | 0.5281 | 0.9438 | 0.4719 |
142 | 0.4785 | 0.9571 | 0.5215 |
143 | 0.6441 | 0.7117 | 0.3559 |
144 | 0.6027 | 0.7947 | 0.3973 |
145 | 0.5696 | 0.8609 | 0.4304 |
146 | 0.5542 | 0.8916 | 0.4458 |
147 | 0.5552 | 0.8896 | 0.4448 |
148 | 0.5001 | 0.9999 | 0.4999 |
149 | 0.5281 | 0.9437 | 0.4719 |
150 | 0.6793 | 0.6414 | 0.3207 |
151 | 0.622 | 0.7561 | 0.378 |
152 | 0.5859 | 0.8282 | 0.4141 |
153 | 0.5307 | 0.9385 | 0.4693 |
154 | 0.6445 | 0.7109 | 0.3554 |
155 | 0.5873 | 0.8254 | 0.4127 |
156 | 0.5897 | 0.8205 | 0.4103 |
157 | 0.5227 | 0.9546 | 0.4773 |
158 | 0.4894 | 0.9787 | 0.5106 |
159 | 0.4164 | 0.8327 | 0.5836 |
160 | 0.4189 | 0.8379 | 0.5811 |
161 | 0.5956 | 0.8089 | 0.4044 |
162 | 0.6566 | 0.6869 | 0.3434 |
163 | 0.5888 | 0.8225 | 0.4112 |
164 | 0.6977 | 0.6047 | 0.3023 |
165 | 0.6191 | 0.7619 | 0.3809 |
166 | 0.7433 | 0.5134 | 0.2567 |
167 | 0.6552 | 0.6895 | 0.3448 |
168 | 0.5487 | 0.9026 | 0.4513 |
169 | 0.6521 | 0.6959 | 0.3479 |
170 | 0.5435 | 0.913 | 0.4565 |
171 | 0.3989 | 0.7978 | 0.6011 |
172 | 0.2984 | 0.5968 | 0.7016 |
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 = 5.9439, df1 = 2, df2 = 173, p-value = 0.003187 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 1.7204, df1 = 6, df2 = 169, p-value = 0.119 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 4.7754, df1 = 2, df2 = 173, p-value = 0.009578 |
Variance Inflation Factors (Multicollinearity) |
> vif Relative_Advantage Perceived_Ease_of_Use System_Quality 1.382208 1.415201 1.361465 |