Multiple Linear Regression - Estimated Regression Equation |
status[t] = + 0.46387 -0.00459671`MDVP:Fo(Hz)`[t] + 1.55319`Shimmer:DDA`[t] + 3.15271`MDVP:APQ`[t] -8.42773`MDVP:Jitter(%)`[t] + 0.389008D2[t] -0.0483704RPDE[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) | 0.46387 | 0.239899 | 1.934 | 0.0546639 | 0.0273319 |
`MDVP:Fo(Hz)` | -0.00459671 | 0.000706406 | -6.507 | 6.76037e-10 | 3.38018e-10 |
`Shimmer:DDA` | 1.55319 | 1.9586 | 0.793 | 0.428772 | 0.214386 |
`MDVP:APQ` | 3.15271 | 3.75679 | 0.8392 | 0.402421 | 0.201211 |
`MDVP:Jitter(%)` | -8.42773 | 8.38273 | -1.005 | 0.316012 | 0.158006 |
D2 | 0.389008 | 0.0829281 | 4.691 | 5.22089e-06 | 2.61045e-06 |
RPDE | -0.0483704 | 0.302468 | -0.1599 | 0.873116 | 0.436558 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.582673 |
R-squared | 0.339507 |
Adjusted R-squared | 0.318428 |
F-TEST (value) | 16.106 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 188 |
p-value | 6.43929e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.356547 |
Sum Squared Residuals | 23.8997 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.916767 | 0.0832328 |
2 | 1 | 1.04864 | -0.0486442 |
3 | 1 | 0.97102 | 0.0289805 |
4 | 1 | 1.01341 | -0.0134101 |
5 | 1 | 1.01281 | -0.0128114 |
6 | 1 | 0.869757 | 0.130243 |
7 | 1 | 0.654559 | 0.345441 |
8 | 1 | 0.796631 | 0.203369 |
9 | 1 | 0.955204 | 0.0447956 |
10 | 1 | 1.04622 | -0.0462165 |
11 | 1 | 1.0321 | -0.0320975 |
12 | 1 | 1.13178 | -0.131783 |
13 | 1 | 0.648068 | 0.351932 |
14 | 1 | 0.841107 | 0.158893 |
15 | 1 | 0.629269 | 0.370731 |
16 | 1 | 0.688689 | 0.311311 |
17 | 1 | 0.719251 | 0.280749 |
18 | 1 | 0.942202 | 0.0577978 |
19 | 1 | 1.17203 | -0.17203 |
20 | 1 | 0.976135 | 0.0238649 |
21 | 1 | 0.925222 | 0.0747777 |
22 | 1 | 0.917365 | 0.0826348 |
23 | 1 | 0.997094 | 0.00290649 |
24 | 1 | 0.810161 | 0.189839 |
25 | 1 | 0.75867 | 0.24133 |
26 | 1 | 1.21249 | -0.212492 |
27 | 1 | 0.72689 | 0.27311 |
28 | 1 | 0.728684 | 0.271316 |
29 | 1 | 0.661105 | 0.338895 |
30 | 1 | 0.508938 | 0.491062 |
31 | 0 | 0.243085 | -0.243085 |
32 | 0 | 0.372496 | -0.372496 |
33 | 0 | 0.15963 | -0.15963 |
34 | 0 | 0.146502 | -0.146502 |
35 | 0 | 0.0967907 | -0.0967907 |
36 | 0 | 0.513863 | -0.513863 |
37 | 1 | 0.66238 | 0.33762 |
38 | 1 | 0.683896 | 0.316104 |
39 | 1 | 0.546225 | 0.453775 |
40 | 1 | 0.563629 | 0.436371 |
41 | 1 | 0.565681 | 0.434319 |
42 | 1 | 0.573389 | 0.426611 |
43 | 0 | 0.35764 | -0.35764 |
44 | 0 | 0.272558 | -0.272558 |
45 | 0 | 0.281376 | -0.281376 |
46 | 0 | 0.299491 | -0.299491 |
47 | 0 | 0.301923 | -0.301923 |
48 | 0 | 0.103145 | -0.103145 |
49 | 0 | 0.72415 | -0.72415 |
50 | 0 | 0.723154 | -0.723154 |
51 | 0 | 0.655569 | -0.655569 |
52 | 0 | 0.870953 | -0.870953 |
53 | 0 | 0.698258 | -0.698258 |
54 | 0 | 0.799195 | -0.799195 |
55 | 1 | 0.780856 | 0.219144 |
56 | 1 | 0.802638 | 0.197362 |
57 | 1 | 0.795111 | 0.204889 |
58 | 1 | 0.739004 | 0.260996 |
59 | 1 | 0.677143 | 0.322857 |
60 | 1 | 0.712426 | 0.287574 |
61 | 0 | 0.508465 | -0.508465 |
62 | 0 | 0.38576 | -0.38576 |
63 | 0 | 0.366922 | -0.366922 |
64 | 0 | 0.424751 | -0.424751 |
65 | 0 | 0.225786 | -0.225786 |
66 | 0 | 0.283497 | -0.283497 |
67 | 1 | 0.807517 | 0.192483 |
68 | 1 | 0.782203 | 0.217797 |
69 | 1 | 0.764381 | 0.235619 |
70 | 1 | 0.797694 | 0.202306 |
71 | 1 | 0.780243 | 0.219757 |
72 | 1 | 1.0027 | -0.00270183 |
73 | 1 | 0.799319 | 0.200681 |
74 | 1 | 0.755368 | 0.244632 |
75 | 1 | 0.882109 | 0.117891 |
76 | 1 | 0.727325 | 0.272675 |
77 | 1 | 0.857961 | 0.142039 |
78 | 1 | 0.698935 | 0.301065 |
79 | 1 | 0.889293 | 0.110707 |
80 | 1 | 0.9675 | 0.0324999 |
81 | 1 | 1.16283 | -0.16283 |
82 | 1 | 0.958422 | 0.0415776 |
83 | 1 | 0.98562 | 0.0143803 |
84 | 1 | 0.852696 | 0.147304 |
85 | 1 | 1.00217 | -0.00217437 |
86 | 1 | 0.963649 | 0.0363513 |
87 | 1 | 0.805518 | 0.194482 |
88 | 1 | 1.11939 | -0.119393 |
89 | 1 | 1.09543 | -0.0954293 |
90 | 1 | 1.19353 | -0.193534 |
91 | 1 | 1.22575 | -0.225751 |
92 | 1 | 1.00338 | -0.00337776 |
93 | 1 | 0.840849 | 0.159151 |
94 | 1 | 0.814289 | 0.185711 |
95 | 1 | 0.701121 | 0.298879 |
96 | 1 | 0.764902 | 0.235098 |
97 | 1 | 0.820723 | 0.179277 |
98 | 1 | 0.987002 | 0.0129981 |
99 | 1 | 0.933336 | 0.0666641 |
100 | 1 | 1.06375 | -0.0637546 |
101 | 1 | 1.18295 | -0.182949 |
102 | 1 | 1.05137 | -0.0513665 |
103 | 1 | 1.03664 | -0.0366363 |
104 | 1 | 0.573658 | 0.426342 |
105 | 1 | 0.580571 | 0.419429 |
106 | 1 | 0.576412 | 0.423588 |
107 | 1 | 0.602851 | 0.397149 |
108 | 1 | 0.766535 | 0.233465 |
109 | 1 | 0.681489 | 0.318511 |
110 | 1 | 0.650975 | 0.349025 |
111 | 1 | 0.57409 | 0.42591 |
112 | 1 | 0.496667 | 0.503333 |
113 | 1 | 0.467866 | 0.532134 |
114 | 1 | 0.481023 | 0.518977 |
115 | 1 | 0.702777 | 0.297223 |
116 | 1 | 0.80231 | 0.19769 |
117 | 1 | 0.771553 | 0.228447 |
118 | 1 | 0.853621 | 0.146379 |
119 | 1 | 0.743442 | 0.256558 |
120 | 1 | 0.613159 | 0.386841 |
121 | 1 | 0.937824 | 0.0621763 |
122 | 1 | 0.68575 | 0.31425 |
123 | 1 | 0.778552 | 0.221448 |
124 | 1 | 0.498302 | 0.501698 |
125 | 1 | 0.522234 | 0.477766 |
126 | 1 | 0.509756 | 0.490244 |
127 | 1 | 0.601717 | 0.398283 |
128 | 1 | 0.535804 | 0.464196 |
129 | 1 | 0.813952 | 0.186048 |
130 | 1 | 0.736401 | 0.263599 |
131 | 1 | 0.905263 | 0.0947367 |
132 | 1 | 0.912343 | 0.0876573 |
133 | 1 | 0.901858 | 0.098142 |
134 | 1 | 0.70968 | 0.29032 |
135 | 1 | 1.05784 | -0.0578408 |
136 | 1 | 1.11512 | -0.115119 |
137 | 1 | 1.07346 | -0.0734629 |
138 | 1 | 1.17598 | -0.175982 |
139 | 1 | 1.10166 | -0.101658 |
140 | 1 | 0.976897 | 0.023103 |
141 | 1 | 0.921654 | 0.0783459 |
142 | 1 | 0.778853 | 0.221147 |
143 | 1 | 0.625229 | 0.374771 |
144 | 1 | 0.535171 | 0.464829 |
145 | 1 | 0.621655 | 0.378345 |
146 | 1 | 0.609499 | 0.390501 |
147 | 1 | 1.30702 | -0.307017 |
148 | 1 | 1.02999 | -0.0299905 |
149 | 1 | 1.07619 | -0.0761857 |
150 | 1 | 0.874186 | 0.125814 |
151 | 1 | 0.897433 | 0.102567 |
152 | 1 | 1.18078 | -0.180781 |
153 | 1 | 0.996657 | 0.00334256 |
154 | 1 | 0.731538 | 0.268462 |
155 | 1 | 0.912823 | 0.0871772 |
156 | 1 | 0.93919 | 0.0608101 |
157 | 1 | 0.972835 | 0.0271645 |
158 | 1 | 1.10512 | -0.105122 |
159 | 1 | 1.03415 | -0.0341456 |
160 | 1 | 0.77248 | 0.22752 |
161 | 1 | 0.898258 | 0.101742 |
162 | 1 | 0.972986 | 0.0270136 |
163 | 1 | 0.970596 | 0.0294036 |
164 | 1 | 0.693882 | 0.306118 |
165 | 1 | 1.01978 | -0.0197753 |
166 | 0 | 0.318381 | -0.318381 |
167 | 0 | 0.109664 | -0.109664 |
168 | 0 | 0.048708 | -0.048708 |
169 | 0 | 0.696267 | -0.696267 |
170 | 0 | 0.276563 | -0.276563 |
171 | 0 | 0.179579 | -0.179579 |
172 | 0 | 0.816749 | -0.816749 |
173 | 0 | 0.717446 | -0.717446 |
174 | 0 | 0.685065 | -0.685065 |
175 | 0 | 0.688738 | -0.688738 |
176 | 0 | 0.727674 | -0.727674 |
177 | 0 | 0.744789 | -0.744789 |
178 | 1 | 0.746409 | 0.253591 |
179 | 1 | 0.69066 | 0.30934 |
180 | 1 | 0.910958 | 0.0890425 |
181 | 1 | 0.732012 | 0.267988 |
182 | 1 | 0.863836 | 0.136164 |
183 | 1 | 0.696594 | 0.303406 |
184 | 0 | 0.750993 | -0.750993 |
185 | 0 | 0.767837 | -0.767837 |
186 | 0 | 0.759149 | -0.759149 |
187 | 0 | 0.785121 | -0.785121 |
188 | 0 | 0.783645 | -0.783645 |
189 | 0 | 0.687887 | -0.687887 |
190 | 0 | 0.477556 | -0.477556 |
191 | 0 | 0.831972 | -0.831972 |
192 | 0 | 0.649471 | -0.649471 |
193 | 0 | 0.68064 | -0.68064 |
194 | 0 | 0.406947 | -0.406947 |
195 | 0 | 0.493869 | -0.493869 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 5.55454e-48 | 1.11091e-47 | 1 |
11 | 9.69456e-67 | 1.93891e-66 | 1 |
12 | 7.8775e-78 | 1.5755e-77 | 1 |
13 | 3.39429e-105 | 6.78859e-105 | 1 |
14 | 2.61705e-107 | 5.2341e-107 | 1 |
15 | 1.04688e-122 | 2.09376e-122 | 1 |
16 | 0 | 0 | 1 |
17 | 1.89966e-164 | 3.79931e-164 | 1 |
18 | 1.43301e-169 | 2.86601e-169 | 1 |
19 | 9.31603e-184 | 1.86321e-183 | 1 |
20 | 1.17742e-208 | 2.35483e-208 | 1 |
21 | 1.40494e-242 | 2.80989e-242 | 1 |
22 | 6.88907e-233 | 1.37781e-232 | 1 |
23 | 2.16112e-244 | 4.32224e-244 | 1 |
24 | 6.90818e-263 | 1.38164e-262 | 1 |
25 | 9.2207e-282 | 1.84414e-281 | 1 |
26 | 4.94065645841247e-324 | 9.88131291682493e-324 | 1 |
27 | 1.74150999999993e-311 | 3.48301000000002e-311 | 1 |
28 | 8.59674223763769e-322 | 1.71934844752754e-321 | 1 |
29 | 0 | 0 | 1 |
30 | 0 | 0 | 1 |
31 | 7.52821e-06 | 1.50564e-05 | 0.999992 |
32 | 0.000283235 | 0.00056647 | 0.999717 |
33 | 0.000426736 | 0.000853471 | 0.999573 |
34 | 0.000425023 | 0.000850047 | 0.999575 |
35 | 0.00029212 | 0.00058424 | 0.999708 |
36 | 0.000864955 | 0.00172991 | 0.999135 |
37 | 0.00128059 | 0.00256117 | 0.998719 |
38 | 0.0012242 | 0.00244839 | 0.998776 |
39 | 0.0017844 | 0.00356879 | 0.998216 |
40 | 0.0022054 | 0.0044108 | 0.997795 |
41 | 0.00223145 | 0.0044629 | 0.997769 |
42 | 0.00199784 | 0.00399569 | 0.998002 |
43 | 0.00263885 | 0.0052777 | 0.997361 |
44 | 0.00183369 | 0.00366738 | 0.998166 |
45 | 0.00129503 | 0.00259007 | 0.998705 |
46 | 0.000898495 | 0.00179699 | 0.999102 |
47 | 0.000596695 | 0.00119339 | 0.999403 |
48 | 0.000487079 | 0.000974157 | 0.999513 |
49 | 0.00616976 | 0.0123395 | 0.99383 |
50 | 0.0289747 | 0.0579495 | 0.971025 |
51 | 0.054699 | 0.109398 | 0.945301 |
52 | 0.178046 | 0.356093 | 0.821954 |
53 | 0.27469 | 0.54938 | 0.72531 |
54 | 0.462826 | 0.925652 | 0.537174 |
55 | 0.445362 | 0.890723 | 0.554638 |
56 | 0.423643 | 0.847285 | 0.576357 |
57 | 0.404724 | 0.809448 | 0.595276 |
58 | 0.373712 | 0.747425 | 0.626288 |
59 | 0.353982 | 0.707964 | 0.646018 |
60 | 0.333626 | 0.667253 | 0.666374 |
61 | 0.367017 | 0.734034 | 0.632983 |
62 | 0.352264 | 0.704528 | 0.647736 |
63 | 0.345828 | 0.691655 | 0.654172 |
64 | 0.360019 | 0.720038 | 0.639981 |
65 | 0.336067 | 0.672134 | 0.663933 |
66 | 0.318953 | 0.637907 | 0.681047 |
67 | 0.291261 | 0.582522 | 0.708739 |
68 | 0.258834 | 0.517668 | 0.741166 |
69 | 0.261058 | 0.522115 | 0.738942 |
70 | 0.277243 | 0.554485 | 0.722757 |
71 | 0.247746 | 0.495491 | 0.752254 |
72 | 0.213997 | 0.427993 | 0.786003 |
73 | 0.197489 | 0.394977 | 0.802511 |
74 | 0.181085 | 0.362171 | 0.818915 |
75 | 0.158069 | 0.316138 | 0.841931 |
76 | 0.145642 | 0.291284 | 0.854358 |
77 | 0.132903 | 0.265806 | 0.867097 |
78 | 0.12448 | 0.24896 | 0.87552 |
79 | 0.106619 | 0.213238 | 0.893381 |
80 | 0.0891428 | 0.178286 | 0.910857 |
81 | 0.0738406 | 0.147681 | 0.926159 |
82 | 0.060696 | 0.121392 | 0.939304 |
83 | 0.049149 | 0.0982981 | 0.950851 |
84 | 0.0421609 | 0.0843217 | 0.957839 |
85 | 0.0357607 | 0.0715214 | 0.964239 |
86 | 0.0319543 | 0.0639087 | 0.968046 |
87 | 0.0312339 | 0.0624678 | 0.968766 |
88 | 0.0252045 | 0.050409 | 0.974795 |
89 | 0.0201669 | 0.0403338 | 0.979833 |
90 | 0.0167811 | 0.0335622 | 0.983219 |
91 | 0.0144099 | 0.0288199 | 0.98559 |
92 | 0.0110109 | 0.0220219 | 0.988989 |
93 | 0.00890642 | 0.0178128 | 0.991094 |
94 | 0.00720684 | 0.0144137 | 0.992793 |
95 | 0.00683977 | 0.0136795 | 0.99316 |
96 | 0.0058817 | 0.0117634 | 0.994118 |
97 | 0.00467478 | 0.00934956 | 0.995325 |
98 | 0.00342498 | 0.00684997 | 0.996575 |
99 | 0.00257618 | 0.00515236 | 0.997424 |
100 | 0.00201883 | 0.00403767 | 0.997981 |
101 | 0.00145256 | 0.00290513 | 0.998547 |
102 | 0.00105192 | 0.00210383 | 0.998948 |
103 | 0.00081653 | 0.00163306 | 0.999183 |
104 | 0.00095679 | 0.00191358 | 0.999043 |
105 | 0.00113902 | 0.00227805 | 0.998861 |
106 | 0.00143574 | 0.00287148 | 0.998564 |
107 | 0.00169436 | 0.00338872 | 0.998306 |
108 | 0.00140782 | 0.00281564 | 0.998592 |
109 | 0.0014616 | 0.00292321 | 0.998538 |
110 | 0.0017664 | 0.00353281 | 0.998234 |
111 | 0.0022459 | 0.00449181 | 0.997754 |
112 | 0.00361588 | 0.00723176 | 0.996384 |
113 | 0.00604764 | 0.0120953 | 0.993952 |
114 | 0.00887052 | 0.017741 | 0.991129 |
115 | 0.00836365 | 0.0167273 | 0.991636 |
116 | 0.00734018 | 0.0146804 | 0.99266 |
117 | 0.0062466 | 0.0124932 | 0.993753 |
118 | 0.00473671 | 0.00947342 | 0.995263 |
119 | 0.00402996 | 0.00805991 | 0.99597 |
120 | 0.00423232 | 0.00846464 | 0.995768 |
121 | 0.00331079 | 0.00662159 | 0.996689 |
122 | 0.00355119 | 0.00710238 | 0.996449 |
123 | 0.00323891 | 0.00647782 | 0.996761 |
124 | 0.00479037 | 0.00958073 | 0.99521 |
125 | 0.00677494 | 0.0135499 | 0.993225 |
126 | 0.0103424 | 0.0206848 | 0.989658 |
127 | 0.0133997 | 0.0267993 | 0.9866 |
128 | 0.020932 | 0.0418641 | 0.979068 |
129 | 0.0206621 | 0.0413242 | 0.979338 |
130 | 0.0232988 | 0.0465977 | 0.976701 |
131 | 0.0205145 | 0.0410289 | 0.979486 |
132 | 0.0178988 | 0.0357977 | 0.982101 |
133 | 0.0160113 | 0.0320227 | 0.983989 |
134 | 0.0233419 | 0.0466839 | 0.976658 |
135 | 0.0178899 | 0.0357798 | 0.98211 |
136 | 0.0139271 | 0.0278542 | 0.986073 |
137 | 0.0105927 | 0.0211854 | 0.989407 |
138 | 0.00873091 | 0.0174618 | 0.991269 |
139 | 0.00678916 | 0.0135783 | 0.993211 |
140 | 0.00494953 | 0.00989905 | 0.99505 |
141 | 0.00364965 | 0.00729929 | 0.99635 |
142 | 0.00321542 | 0.00643083 | 0.996785 |
143 | 0.00305833 | 0.00611666 | 0.996942 |
144 | 0.00450145 | 0.00900291 | 0.995499 |
145 | 0.00509911 | 0.0101982 | 0.994901 |
146 | 0.00572428 | 0.0114486 | 0.994276 |
147 | 0.00630176 | 0.0126035 | 0.993698 |
148 | 0.0044571 | 0.0089142 | 0.995543 |
149 | 0.0032629 | 0.00652579 | 0.996737 |
150 | 0.00247487 | 0.00494975 | 0.997525 |
151 | 0.00204582 | 0.00409164 | 0.997954 |
152 | 0.00205075 | 0.0041015 | 0.997949 |
153 | 0.00200714 | 0.00401428 | 0.997993 |
154 | 0.00314675 | 0.0062935 | 0.996853 |
155 | 0.002992 | 0.005984 | 0.997008 |
156 | 0.00253484 | 0.00506969 | 0.997465 |
157 | 0.00234571 | 0.00469141 | 0.997654 |
158 | 0.00218988 | 0.00437976 | 0.99781 |
159 | 0.0021048 | 0.00420961 | 0.997895 |
160 | 0.00181467 | 0.00362934 | 0.998185 |
161 | 0.00120392 | 0.00240785 | 0.998796 |
162 | 0.000870235 | 0.00174047 | 0.99913 |
163 | 0.00101343 | 0.00202687 | 0.998987 |
164 | 0.0160595 | 0.032119 | 0.98394 |
165 | 0.566819 | 0.866362 | 0.433181 |
166 | 0.517778 | 0.964443 | 0.482222 |
167 | 0.50187 | 0.996261 | 0.49813 |
168 | 0.438084 | 0.876168 | 0.561916 |
169 | 0.506673 | 0.986654 | 0.493327 |
170 | 0.569757 | 0.860486 | 0.430243 |
171 | 0.504496 | 0.991008 | 0.495504 |
172 | 0.58789 | 0.824221 | 0.41211 |
173 | 0.655067 | 0.689866 | 0.344933 |
174 | 0.64682 | 0.70636 | 0.35318 |
175 | 0.646004 | 0.707992 | 0.353996 |
176 | 0.627378 | 0.745243 | 0.372622 |
177 | 0.935509 | 0.128982 | 0.0644911 |
178 | 0.907934 | 0.184133 | 0.0920663 |
179 | 0.920608 | 0.158784 | 0.0793921 |
180 | 0.889507 | 0.220986 | 0.110493 |
181 | 0.82268 | 0.35464 | 0.17732 |
182 | 0.928076 | 0.143847 | 0.0719237 |
183 | 1 | 0 | 0 |
184 | 1 | 0 | 0 |
185 | 1 | 0 | 0 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 86 | 0.488636 | NOK |
5% type I error level | 119 | 0.676136 | NOK |
10% type I error level | 126 | 0.715909 | NOK |