Multiple Linear Regression - Estimated Regression Equation |
Relative_Advantage[t] = + 0.287981 + 0.196931Perceived_Ease_of_Use[t] + 0.208669Information_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) | +0.288 | 0.8971 | +3.2100e-01 | 0.7486 | 0.3743 |
Perceived_Ease_of_Use | +0.1969 | 0.06639 | +2.9660e+00 | 0.003432 | 0.001716 |
Information_Quality | +0.2087 | 0.06931 | +3.0110e+00 | 0.002991 | 0.001496 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.504 |
R-squared | 0.2541 |
Adjusted R-squared | 0.2456 |
F-TEST (value) | 29.97 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 176 |
p-value | 6.28e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.808 |
Sum Squared Residuals | 575.3 |
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 | 6.639 | 3.361 |
2 | 8 | 7.833 | 0.1673 |
3 | 6 | 6.592 | -0.5924 |
4 | 10 | 7.427 | 2.573 |
5 | 8 | 5.828 | 2.172 |
6 | 10 | 8.829 | 1.171 |
7 | 7 | 8.018 | -1.018 |
8 | 10 | 8.423 | 1.577 |
9 | 6 | 4.553 | 1.447 |
10 | 7 | 7.415 | -0.4153 |
11 | 9 | 7.195 | 1.805 |
12 | 6 | 5.99 | 0.01015 |
13 | 7 | 6.604 | 0.3959 |
14 | 6 | 4.97 | 1.03 |
15 | 4 | 6.592 | -2.592 |
16 | 6 | 7.415 | -1.415 |
17 | 8 | 8.4 | -0.4 |
18 | 9 | 5.19 | 3.81 |
19 | 8 | 6.407 | 1.593 |
20 | 6 | 5.978 | 0.02188 |
21 | 6 | 7.404 | -1.404 |
22 | 10 | 6.616 | 3.384 |
23 | 8 | 7.01 | 0.9903 |
24 | 8 | 7.415 | 0.5847 |
25 | 7 | 8.203 | -1.203 |
26 | 4 | 6.778 | -2.778 |
27 | 9 | 7.195 | 1.805 |
28 | 8 | 6.592 | 1.408 |
29 | 10 | 6.801 | 3.199 |
30 | 8 | 5.758 | 2.242 |
31 | 6 | 7.021 | -1.021 |
32 | 7 | 8.215 | -1.215 |
33 | 8 | 6.789 | 1.211 |
34 | 5 | 7.207 | -2.207 |
35 | 10 | 7.415 | 2.585 |
36 | 2 | 5.978 | -3.978 |
37 | 6 | 6.175 | -0.175 |
38 | 7 | 7.207 | -0.2067 |
39 | 5 | 6.801 | -1.801 |
40 | 8 | 8.62 | -0.6204 |
41 | 7 | 7.612 | -0.6123 |
42 | 7 | 7.195 | -0.1949 |
43 | 10 | 5.573 | 4.427 |
44 | 7 | 5.387 | 1.613 |
45 | 6 | 6.002 | -0.00159 |
46 | 10 | 6.187 | 3.813 |
47 | 6 | 6.592 | -0.5924 |
48 | 5 | 5.584 | -0.5843 |
49 | 8 | 6.002 | 1.998 |
50 | 8 | 7.195 | 0.8051 |
51 | 5 | 5.399 | -0.3991 |
52 | 8 | 7.195 | 0.8051 |
53 | 10 | 8.62 | 1.38 |
54 | 7 | 6.187 | 0.8132 |
55 | 7 | 6.581 | 0.4194 |
56 | 7 | 7.218 | -0.2184 |
57 | 7 | 6.998 | 0.002016 |
58 | 2 | 5.793 | -3.793 |
59 | 4 | 6.384 | -2.384 |
60 | 6 | 7.415 | -1.415 |
61 | 7 | 8.018 | -1.018 |
62 | 9 | 7.195 | 1.805 |
63 | 9 | 5.978 | 3.022 |
64 | 4 | 6.998 | -2.998 |
65 | 9 | 6.801 | 2.199 |
66 | 9 | 7.415 | 1.585 |
67 | 8 | 6.801 | 1.199 |
68 | 7 | 5.99 | 1.01 |
69 | 9 | 6.616 | 2.384 |
70 | 7 | 7.415 | -0.4153 |
71 | 6 | 8.227 | -2.227 |
72 | 7 | 6.604 | 0.3959 |
73 | 2 | 2.942 | -0.942 |
74 | 3 | 4.379 | -1.379 |
75 | 4 | 4.97 | -0.97 |
76 | 5 | 6.998 | -1.998 |
77 | 2 | 4.564 | -2.564 |
78 | 6 | 5.399 | 0.6009 |
79 | 8 | 7.624 | 0.376 |
80 | 5 | 7.218 | -2.218 |
81 | 4 | 6.21 | -2.21 |
82 | 10 | 8.423 | 1.577 |
83 | 10 | 9.026 | 0.974 |
84 | 10 | 9.026 | 0.974 |
85 | 9 | 7.821 | 1.179 |
86 | 5 | 6.581 | -1.581 |
87 | 5 | 5.966 | -0.9664 |
88 | 7 | 6.604 | 0.3959 |
89 | 10 | 8.423 | 1.577 |
90 | 9 | 7.218 | 1.782 |
91 | 8 | 6.407 | 1.593 |
92 | 8 | 4.564 | 3.436 |
93 | 8 | 7.577 | 0.423 |
94 | 8 | 5.978 | 2.022 |
95 | 8 | 6.407 | 1.593 |
96 | 7 | 6.801 | 0.1989 |
97 | 6 | 4.6 | 1.4 |
98 | 8 | 6.384 | 1.616 |
99 | 2 | 5.584 | -3.584 |
100 | 5 | 5.793 | -0.7929 |
101 | 4 | 7.01 | -3.01 |
102 | 9 | 6.616 | 2.384 |
103 | 10 | 8.829 | 1.171 |
104 | 6 | 7.021 | -1.021 |
105 | 4 | 6.801 | -2.801 |
106 | 10 | 8.018 | 1.982 |
107 | 6 | 6.616 | -0.6159 |
108 | 7 | 7.195 | -0.1949 |
109 | 7 | 7.207 | -0.2067 |
110 | 8 | 6.789 | 1.211 |
111 | 6 | 7.624 | -1.624 |
112 | 5 | 7.404 | -2.404 |
113 | 6 | 8.25 | -2.25 |
114 | 7 | 5.155 | 1.845 |
115 | 6 | 5.978 | 0.02188 |
116 | 9 | 6.801 | 2.199 |
117 | 9 | 7.601 | 1.399 |
118 | 7 | 7.636 | -0.6357 |
119 | 6 | 7.01 | -1.01 |
120 | 7 | 6.384 | 0.6163 |
121 | 7 | 7.207 | -0.2067 |
122 | 8 | 6.21 | 1.79 |
123 | 7 | 6.21 | 0.7897 |
124 | 8 | 7.404 | 0.5964 |
125 | 7 | 7.033 | -0.0332 |
126 | 4 | 6.616 | -2.616 |
127 | 10 | 8.62 | 1.38 |
128 | 8 | 8.632 | -0.6321 |
129 | 8 | 6.986 | 1.014 |
130 | 2 | 7.195 | -5.195 |
131 | 6 | 6.813 | -0.8128 |
132 | 4 | 5.584 | -1.584 |
133 | 4 | 5.179 | -1.179 |
134 | 9 | 6.801 | 2.199 |
135 | 2 | 6.592 | -4.592 |
136 | 6 | 7.01 | -1.01 |
137 | 7 | 6.778 | 0.2224 |
138 | 4 | 5.179 | -1.179 |
139 | 10 | 7.612 | 2.388 |
140 | 3 | 5.005 | -2.005 |
141 | 7 | 7.195 | -0.1949 |
142 | 4 | 6.581 | -2.581 |
143 | 8 | 8.018 | -0.01785 |
144 | 4 | 5.793 | -1.793 |
145 | 5 | 5.376 | -0.3756 |
146 | 6 | 5.596 | 0.404 |
147 | 5 | 6.813 | -1.813 |
148 | 9 | 7.01 | 1.99 |
149 | 6 | 6.813 | -0.8128 |
150 | 8 | 6.604 | 1.396 |
151 | 4 | 5.99 | -1.99 |
152 | 4 | 5.179 | -1.179 |
153 | 8 | 7.207 | 0.7933 |
154 | 4 | 3.765 | 0.2351 |
155 | 10 | 6.998 | 3.002 |
156 | 8 | 6.998 | 1.002 |
157 | 5 | 5.793 | -0.7929 |
158 | 3 | 7.218 | -4.218 |
159 | 7 | 6.801 | 0.1989 |
160 | 6 | 7.612 | -1.612 |
161 | 5 | 5.99 | -0.9899 |
162 | 5 | 6.998 | -1.998 |
163 | 9 | 8.191 | 0.8087 |
164 | 2 | 6.616 | -4.616 |
165 | 7 | 5.19 | 1.81 |
166 | 7 | 6.395 | 0.6045 |
167 | 5 | 7.624 | -2.624 |
168 | 9 | 9.038 | -0.03772 |
169 | 4 | 5.793 | -1.793 |
170 | 5 | 5.167 | -0.1669 |
171 | 9 | 8.018 | 0.9821 |
172 | 7 | 6.581 | 0.4194 |
173 | 6 | 6.592 | -0.5924 |
174 | 8 | 6.789 | 1.211 |
175 | 7 | 6.21 | 0.7897 |
176 | 6 | 6.407 | -0.4072 |
177 | 8 | 8.041 | -0.04133 |
178 | 6 | 7.612 | -1.612 |
179 | 7 | 7.612 | -0.6123 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.25 | 0.4999 | 0.75 |
7 | 0.2153 | 0.4307 | 0.7847 |
8 | 0.1711 | 0.3422 | 0.8289 |
9 | 0.2101 | 0.4202 | 0.7899 |
10 | 0.1804 | 0.3608 | 0.8196 |
11 | 0.1773 | 0.3546 | 0.8227 |
12 | 0.1387 | 0.2774 | 0.8613 |
13 | 0.09506 | 0.1901 | 0.9049 |
14 | 0.05906 | 0.1181 | 0.9409 |
15 | 0.1835 | 0.367 | 0.8165 |
16 | 0.2108 | 0.4217 | 0.7892 |
17 | 0.1587 | 0.3174 | 0.8413 |
18 | 0.2333 | 0.4666 | 0.7667 |
19 | 0.1827 | 0.3655 | 0.8173 |
20 | 0.1366 | 0.2732 | 0.8634 |
21 | 0.1278 | 0.2556 | 0.8722 |
22 | 0.1549 | 0.3098 | 0.8451 |
23 | 0.1174 | 0.2348 | 0.8826 |
24 | 0.08626 | 0.1725 | 0.9137 |
25 | 0.06375 | 0.1275 | 0.9362 |
26 | 0.07986 | 0.1597 | 0.9201 |
27 | 0.1006 | 0.2012 | 0.8994 |
28 | 0.08696 | 0.1739 | 0.913 |
29 | 0.139 | 0.2779 | 0.861 |
30 | 0.1872 | 0.3745 | 0.8128 |
31 | 0.2233 | 0.4466 | 0.7767 |
32 | 0.1949 | 0.3899 | 0.8051 |
33 | 0.1698 | 0.3396 | 0.8302 |
34 | 0.2253 | 0.4506 | 0.7747 |
35 | 0.2529 | 0.5057 | 0.7471 |
36 | 0.5379 | 0.9242 | 0.4621 |
37 | 0.4839 | 0.9678 | 0.5161 |
38 | 0.4346 | 0.8692 | 0.5654 |
39 | 0.4649 | 0.9297 | 0.5351 |
40 | 0.4143 | 0.8285 | 0.5857 |
41 | 0.3716 | 0.7433 | 0.6284 |
42 | 0.3236 | 0.6472 | 0.6764 |
43 | 0.5345 | 0.9311 | 0.4655 |
44 | 0.4987 | 0.9975 | 0.5013 |
45 | 0.4759 | 0.9518 | 0.5241 |
46 | 0.6091 | 0.7818 | 0.3909 |
47 | 0.5749 | 0.8501 | 0.4251 |
48 | 0.5641 | 0.8718 | 0.4359 |
49 | 0.5452 | 0.9096 | 0.4548 |
50 | 0.5089 | 0.9822 | 0.4911 |
51 | 0.5204 | 0.9592 | 0.4796 |
52 | 0.4833 | 0.9665 | 0.5167 |
53 | 0.4782 | 0.9564 | 0.5218 |
54 | 0.4358 | 0.8715 | 0.5642 |
55 | 0.3915 | 0.7829 | 0.6085 |
56 | 0.3572 | 0.7144 | 0.6428 |
57 | 0.3151 | 0.6302 | 0.6849 |
58 | 0.5599 | 0.8802 | 0.4401 |
59 | 0.6048 | 0.7904 | 0.3952 |
60 | 0.5982 | 0.8036 | 0.4018 |
61 | 0.5678 | 0.8643 | 0.4322 |
62 | 0.5707 | 0.8586 | 0.4293 |
63 | 0.6368 | 0.7264 | 0.3632 |
64 | 0.7175 | 0.5649 | 0.2825 |
65 | 0.7286 | 0.5428 | 0.2714 |
66 | 0.7162 | 0.5675 | 0.2838 |
67 | 0.6913 | 0.6175 | 0.3087 |
68 | 0.6606 | 0.6788 | 0.3394 |
69 | 0.6777 | 0.6447 | 0.3223 |
70 | 0.6427 | 0.7146 | 0.3573 |
71 | 0.6659 | 0.6683 | 0.3341 |
72 | 0.6286 | 0.7428 | 0.3714 |
73 | 0.6368 | 0.7263 | 0.3632 |
74 | 0.6509 | 0.6981 | 0.3491 |
75 | 0.6283 | 0.7435 | 0.3717 |
76 | 0.6408 | 0.7185 | 0.3592 |
77 | 0.6903 | 0.6193 | 0.3097 |
78 | 0.6603 | 0.6793 | 0.3397 |
79 | 0.6229 | 0.7542 | 0.3771 |
80 | 0.6547 | 0.6906 | 0.3453 |
81 | 0.6867 | 0.6265 | 0.3133 |
82 | 0.6768 | 0.6464 | 0.3232 |
83 | 0.6487 | 0.7027 | 0.3513 |
84 | 0.6196 | 0.7607 | 0.3804 |
85 | 0.5959 | 0.8083 | 0.4041 |
86 | 0.5855 | 0.829 | 0.4145 |
87 | 0.556 | 0.8881 | 0.444 |
88 | 0.5162 | 0.9676 | 0.4838 |
89 | 0.507 | 0.986 | 0.493 |
90 | 0.5088 | 0.9824 | 0.4912 |
91 | 0.5024 | 0.9952 | 0.4976 |
92 | 0.6169 | 0.7663 | 0.3831 |
93 | 0.5818 | 0.8365 | 0.4182 |
94 | 0.5946 | 0.8108 | 0.4054 |
95 | 0.5927 | 0.8145 | 0.4073 |
96 | 0.5525 | 0.895 | 0.4475 |
97 | 0.5641 | 0.8718 | 0.4359 |
98 | 0.5586 | 0.8828 | 0.4414 |
99 | 0.6809 | 0.6382 | 0.3191 |
100 | 0.6502 | 0.6997 | 0.3498 |
101 | 0.7194 | 0.5612 | 0.2806 |
102 | 0.7677 | 0.4646 | 0.2323 |
103 | 0.7493 | 0.5013 | 0.2506 |
104 | 0.7268 | 0.5465 | 0.2732 |
105 | 0.7749 | 0.4502 | 0.2251 |
106 | 0.7882 | 0.4235 | 0.2118 |
107 | 0.7616 | 0.4769 | 0.2384 |
108 | 0.7263 | 0.5474 | 0.2737 |
109 | 0.6892 | 0.6216 | 0.3108 |
110 | 0.6685 | 0.6629 | 0.3315 |
111 | 0.656 | 0.6881 | 0.344 |
112 | 0.687 | 0.6259 | 0.313 |
113 | 0.6963 | 0.6074 | 0.3037 |
114 | 0.6992 | 0.6017 | 0.3008 |
115 | 0.6592 | 0.6816 | 0.3408 |
116 | 0.6927 | 0.6146 | 0.3073 |
117 | 0.6792 | 0.6416 | 0.3208 |
118 | 0.6419 | 0.7163 | 0.3581 |
119 | 0.6079 | 0.7842 | 0.3921 |
120 | 0.572 | 0.8561 | 0.428 |
121 | 0.527 | 0.946 | 0.473 |
122 | 0.5584 | 0.8833 | 0.4416 |
123 | 0.5435 | 0.913 | 0.4565 |
124 | 0.5055 | 0.989 | 0.4945 |
125 | 0.4741 | 0.9483 | 0.5259 |
126 | 0.4948 | 0.9895 | 0.5052 |
127 | 0.4806 | 0.9612 | 0.5194 |
128 | 0.4355 | 0.8709 | 0.5645 |
129 | 0.4065 | 0.813 | 0.5935 |
130 | 0.7421 | 0.5158 | 0.2579 |
131 | 0.7043 | 0.5915 | 0.2957 |
132 | 0.6828 | 0.6345 | 0.3172 |
133 | 0.6481 | 0.7039 | 0.3519 |
134 | 0.6952 | 0.6097 | 0.3048 |
135 | 0.8889 | 0.2223 | 0.1111 |
136 | 0.8661 | 0.2678 | 0.1339 |
137 | 0.8361 | 0.3278 | 0.1639 |
138 | 0.8106 | 0.3787 | 0.1894 |
139 | 0.8572 | 0.2856 | 0.1428 |
140 | 0.839 | 0.3221 | 0.161 |
141 | 0.8034 | 0.3932 | 0.1966 |
142 | 0.866 | 0.268 | 0.134 |
143 | 0.8342 | 0.3317 | 0.1658 |
144 | 0.8222 | 0.3556 | 0.1778 |
145 | 0.7857 | 0.4287 | 0.2143 |
146 | 0.758 | 0.4839 | 0.242 |
147 | 0.7318 | 0.5365 | 0.2682 |
148 | 0.7823 | 0.4353 | 0.2177 |
149 | 0.7371 | 0.5257 | 0.2629 |
150 | 0.752 | 0.496 | 0.248 |
151 | 0.7529 | 0.4942 | 0.2471 |
152 | 0.722 | 0.5561 | 0.278 |
153 | 0.6906 | 0.6188 | 0.3094 |
154 | 0.6332 | 0.7337 | 0.3668 |
155 | 0.7661 | 0.4678 | 0.2339 |
156 | 0.7411 | 0.5178 | 0.2589 |
157 | 0.6824 | 0.6353 | 0.3176 |
158 | 0.8346 | 0.3308 | 0.1654 |
159 | 0.7906 | 0.4187 | 0.2094 |
160 | 0.7586 | 0.4828 | 0.2414 |
161 | 0.7038 | 0.5924 | 0.2962 |
162 | 0.7175 | 0.565 | 0.2825 |
163 | 0.6432 | 0.7135 | 0.3568 |
164 | 0.9342 | 0.1315 | 0.06576 |
165 | 0.9545 | 0.09097 | 0.04548 |
166 | 0.9362 | 0.1276 | 0.0638 |
167 | 0.9744 | 0.05125 | 0.02563 |
168 | 0.9507 | 0.09863 | 0.04932 |
169 | 0.9617 | 0.07668 | 0.03834 |
170 | 0.9281 | 0.1438 | 0.07191 |
171 | 0.9338 | 0.1324 | 0.06619 |
172 | 0.8666 | 0.2668 | 0.1334 |
173 | 0.7718 | 0.4564 | 0.2282 |
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 | 4 | 0.0238095 | OK |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 1.1148, df1 = 2, df2 = 174, p-value = 0.3303 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 0.66357, df1 = 4, df2 = 172, p-value = 0.6181 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 1.186, df1 = 2, df2 = 174, p-value = 0.3079 |
Variance Inflation Factors (Multicollinearity) |
> vif Perceived_Ease_of_Use Information_Quality 1.971705 1.971705 |