Multiple Linear Regression - Estimated Regression Equation |
status[t] = + 1.27129 -0.00223873`MDVP:Fo(Hz)`[t] -0.000255182`MDVP:Fhi(Hz)`[t] -0.00241088`MDVP:Flo(Hz)`[t] -85.9932`MDVP:Jitter(%)`[t] + 91.0227`MDVP:RAP`[t] + 54.4052`MDVP:PPQ`[t] + 6.90138`MDVP:Shimmer`[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) | 1.27129 | 0.140163 | 9.07 | 1.6334e-16 | 8.16702e-17 |
`MDVP:Fo(Hz)` | -0.00223873 | 0.000923601 | -2.424 | 0.0163064 | 0.0081532 |
`MDVP:Fhi(Hz)` | -0.000255182 | 0.000335213 | -0.7613 | 0.447465 | 0.223732 |
`MDVP:Flo(Hz)` | -0.00241088 | 0.000822499 | -2.931 | 0.00379824 | 0.00189912 |
`MDVP:Jitter(%)` | -85.9932 | 57.6386 | -1.492 | 0.1374 | 0.0687002 |
`MDVP:RAP` | 91.0227 | 72.149 | 1.262 | 0.208667 | 0.104333 |
`MDVP:PPQ` | 54.4052 | 49.2558 | 1.105 | 0.270776 | 0.135388 |
`MDVP:Shimmer` | 6.90138 | 2.40226 | 2.873 | 0.00453795 | 0.00226898 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.541221 |
R-squared | 0.292921 |
Adjusted R-squared | 0.266452 |
F-TEST (value) | 11.0669 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 187 |
p-value | 1.11068e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.369892 |
Sum Squared Residuals | 25.5854 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 1.04758 | -0.0475792 |
2 | 1 | 1.07776 | -0.077765 |
3 | 1 | 1.08596 | -0.0859564 |
4 | 1 | 1.06477 | -0.0647655 |
5 | 1 | 1.13807 | -0.138069 |
6 | 1 | 1.0151 | -0.0151034 |
7 | 1 | 0.765805 | 0.234195 |
8 | 1 | 0.839316 | 0.160684 |
9 | 1 | 0.920012 | 0.0799881 |
10 | 1 | 0.970845 | 0.0291547 |
11 | 1 | 0.966572 | 0.0334275 |
12 | 1 | 0.992072 | 0.00792846 |
13 | 1 | 0.633039 | 0.366961 |
14 | 1 | 0.770736 | 0.229264 |
15 | 1 | 0.769145 | 0.230855 |
16 | 1 | 0.7368 | 0.2632 |
17 | 1 | 0.684222 | 0.315778 |
18 | 1 | 0.733154 | 0.266846 |
19 | 1 | 1.02738 | -0.0273838 |
20 | 1 | 0.699447 | 0.300553 |
21 | 1 | 0.90098 | 0.0990198 |
22 | 1 | 0.923503 | 0.0764966 |
23 | 1 | 0.91023 | 0.0897701 |
24 | 1 | 0.846488 | 0.153512 |
25 | 1 | 0.703043 | 0.296957 |
26 | 1 | 1.00432 | -0.00431612 |
27 | 1 | 0.752471 | 0.247529 |
28 | 1 | 0.775311 | 0.224689 |
29 | 1 | 0.764924 | 0.235076 |
30 | 1 | 0.754 | 0.246 |
31 | 0 | 0.384028 | -0.384028 |
32 | 0 | 0.368555 | -0.368555 |
33 | 0 | 0.387859 | -0.387859 |
34 | 0 | 0.343256 | -0.343256 |
35 | 0 | 0.345798 | -0.345798 |
36 | 0 | 0.364981 | -0.364981 |
37 | 1 | 0.555275 | 0.444725 |
38 | 1 | 0.550826 | 0.449174 |
39 | 1 | 0.478529 | 0.521471 |
40 | 1 | 0.477226 | 0.522774 |
41 | 1 | 0.468244 | 0.531756 |
42 | 1 | 0.487577 | 0.512423 |
43 | 0 | 0.251595 | -0.251595 |
44 | 0 | 0.223715 | -0.223715 |
45 | 0 | 0.19299 | -0.19299 |
46 | 0 | 0.204806 | -0.204806 |
47 | 0 | 0.20083 | -0.20083 |
48 | 0 | 0.264345 | -0.264345 |
49 | 0 | 0.610815 | -0.610815 |
50 | 0 | 0.631508 | -0.631508 |
51 | 0 | 0.674252 | -0.674252 |
52 | 0 | 0.648544 | -0.648544 |
53 | 0 | 0.65379 | -0.65379 |
54 | 0 | 0.660889 | -0.660889 |
55 | 1 | 0.86064 | 0.13936 |
56 | 1 | 0.866713 | 0.133287 |
57 | 1 | 0.92368 | 0.0763204 |
58 | 1 | 0.748325 | 0.251675 |
59 | 1 | 0.792376 | 0.207624 |
60 | 1 | 0.792003 | 0.207997 |
61 | 0 | 0.581202 | -0.581202 |
62 | 0 | 0.599229 | -0.599229 |
63 | 0 | 0.320651 | -0.320651 |
64 | 0 | 0.262508 | -0.262508 |
65 | 0 | 0.249691 | -0.249691 |
66 | 0 | 0.540373 | -0.540373 |
67 | 1 | 0.903675 | 0.0963246 |
68 | 1 | 0.897376 | 0.102624 |
69 | 1 | 1.01768 | -0.0176808 |
70 | 1 | 1.07286 | -0.07286 |
71 | 1 | 0.933224 | 0.0667763 |
72 | 1 | 1.01712 | -0.0171168 |
73 | 1 | 0.7517 | 0.2483 |
74 | 1 | 0.745855 | 0.254145 |
75 | 1 | 0.86619 | 0.13381 |
76 | 1 | 0.857504 | 0.142496 |
77 | 1 | 0.971707 | 0.0282926 |
78 | 1 | 0.846746 | 0.153254 |
79 | 1 | 0.994121 | 0.00587883 |
80 | 1 | 1.01225 | -0.0122484 |
81 | 1 | 1.08544 | -0.0854404 |
82 | 1 | 1.02425 | -0.0242547 |
83 | 1 | 0.941843 | 0.0581575 |
84 | 1 | 0.959421 | 0.0405786 |
85 | 1 | 0.938781 | 0.0612191 |
86 | 1 | 0.689889 | 0.310111 |
87 | 1 | 0.717888 | 0.282112 |
88 | 1 | 0.948954 | 0.051046 |
89 | 1 | 1.08093 | -0.0809286 |
90 | 1 | 0.73385 | 0.26615 |
91 | 1 | 1.07651 | -0.0765066 |
92 | 1 | 1.05084 | -0.0508395 |
93 | 1 | 0.815474 | 0.184526 |
94 | 1 | 1.08208 | -0.0820772 |
95 | 1 | 0.942563 | 0.0574372 |
96 | 1 | 0.715098 | 0.284902 |
97 | 1 | 0.724212 | 0.275788 |
98 | 1 | 0.857241 | 0.142759 |
99 | 1 | 0.96869 | 0.0313097 |
100 | 1 | 1.10483 | -0.104832 |
101 | 1 | 1.23497 | -0.234969 |
102 | 1 | 1.17335 | -0.173351 |
103 | 1 | 1.28449 | -0.284491 |
104 | 1 | 0.748148 | 0.251852 |
105 | 1 | 0.612831 | 0.387169 |
106 | 1 | 0.62352 | 0.37648 |
107 | 1 | 0.575716 | 0.424284 |
108 | 1 | 0.617804 | 0.382196 |
109 | 1 | 0.612113 | 0.387887 |
110 | 1 | 0.764863 | 0.235137 |
111 | 1 | 0.693355 | 0.306645 |
112 | 1 | 0.385671 | 0.614329 |
113 | 1 | 0.461189 | 0.538811 |
114 | 1 | 0.396081 | 0.603919 |
115 | 1 | 0.658102 | 0.341898 |
116 | 1 | 0.607239 | 0.392761 |
117 | 1 | 0.629391 | 0.370609 |
118 | 1 | 0.589461 | 0.410539 |
119 | 1 | 0.500745 | 0.499255 |
120 | 1 | 0.42655 | 0.57345 |
121 | 1 | 0.676612 | 0.323388 |
122 | 1 | 0.613651 | 0.386349 |
123 | 1 | 0.998867 | 0.00113251 |
124 | 1 | 0.776109 | 0.223891 |
125 | 1 | 0.825917 | 0.174083 |
126 | 1 | 0.840429 | 0.159571 |
127 | 1 | 0.886459 | 0.113541 |
128 | 1 | 0.829668 | 0.170332 |
129 | 1 | 0.701128 | 0.298872 |
130 | 1 | 0.732787 | 0.267213 |
131 | 1 | 0.7764 | 0.2236 |
132 | 1 | 0.787552 | 0.212448 |
133 | 1 | 0.795217 | 0.204783 |
134 | 1 | 0.742369 | 0.257631 |
135 | 1 | 1.05189 | -0.0518904 |
136 | 1 | 0.990528 | 0.00947239 |
137 | 1 | 1.02565 | -0.0256548 |
138 | 1 | 1.0783 | -0.0782992 |
139 | 1 | 1.09471 | -0.0947142 |
140 | 1 | 0.885068 | 0.114932 |
141 | 1 | 0.721905 | 0.278095 |
142 | 1 | 0.954943 | 0.0450575 |
143 | 1 | 0.615271 | 0.384729 |
144 | 1 | 0.656766 | 0.343234 |
145 | 1 | 0.489145 | 0.510855 |
146 | 1 | 0.621058 | 0.378942 |
147 | 1 | 0.990954 | 0.00904612 |
148 | 1 | 0.791375 | 0.208625 |
149 | 1 | 0.872007 | 0.127993 |
150 | 1 | 0.702078 | 0.297922 |
151 | 1 | 0.837843 | 0.162157 |
152 | 1 | 1.22908 | -0.229084 |
153 | 1 | 0.964675 | 0.0353246 |
154 | 1 | 0.847608 | 0.152392 |
155 | 1 | 0.868672 | 0.131328 |
156 | 1 | 0.888229 | 0.111771 |
157 | 1 | 0.827802 | 0.172198 |
158 | 1 | 0.917334 | 0.0826657 |
159 | 1 | 0.859511 | 0.140489 |
160 | 1 | 0.847239 | 0.152761 |
161 | 1 | 1.01924 | -0.0192422 |
162 | 1 | 0.911557 | 0.0884433 |
163 | 1 | 0.973559 | 0.0264414 |
164 | 1 | 0.845761 | 0.154239 |
165 | 1 | 0.912578 | 0.0874225 |
166 | 0 | 0.587988 | -0.587988 |
167 | 0 | 0.194219 | -0.194219 |
168 | 0 | 0.185645 | -0.185645 |
169 | 0 | 0.704023 | -0.704023 |
170 | 0 | 0.27718 | -0.27718 |
171 | 0 | 0.202734 | -0.202734 |
172 | 0 | 0.773339 | -0.773339 |
173 | 0 | 0.812794 | -0.812794 |
174 | 0 | 0.820916 | -0.820916 |
175 | 0 | 0.821185 | -0.821185 |
176 | 0 | 0.791799 | -0.791799 |
177 | 0 | 0.80631 | -0.80631 |
178 | 1 | 0.61236 | 0.38764 |
179 | 1 | 0.645148 | 0.354852 |
180 | 1 | 0.648605 | 0.351395 |
181 | 1 | 0.693639 | 0.306361 |
182 | 1 | 0.652169 | 0.347831 |
183 | 1 | 0.670324 | 0.329676 |
184 | 0 | 0.809446 | -0.809446 |
185 | 0 | 0.80645 | -0.80645 |
186 | 0 | 0.796248 | -0.796248 |
187 | 0 | 0.713712 | -0.713712 |
188 | 0 | 0.680593 | -0.680593 |
189 | 0 | 0.809091 | -0.809091 |
190 | 0 | 0.735243 | -0.735243 |
191 | 0 | 0.862786 | -0.862786 |
192 | 0 | 0.686934 | -0.686934 |
193 | 0 | 0.504472 | -0.504472 |
194 | 0 | 0.6155 | -0.6155 |
195 | 0 | 0.620575 | -0.620575 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 1.31756e-54 | 2.63511e-54 | 1 |
12 | 1.50074e-66 | 3.00148e-66 | 1 |
13 | 1.95601e-93 | 3.91202e-93 | 1 |
14 | 1.52177e-92 | 3.04354e-92 | 1 |
15 | 5.01206e-108 | 1.00241e-107 | 1 |
16 | 0 | 0 | 1 |
17 | 1.33047e-148 | 2.66093e-148 | 1 |
18 | 6.78118e-155 | 1.35624e-154 | 1 |
19 | 3.16834e-169 | 6.33668e-169 | 1 |
20 | 6.66198e-193 | 1.3324e-192 | 1 |
21 | 1.40041e-225 | 2.80082e-225 | 1 |
22 | 1.04064e-217 | 2.08129e-217 | 1 |
23 | 1.71687e-229 | 3.43373e-229 | 1 |
24 | 7.85121e-248 | 1.57024e-247 | 1 |
25 | 1.59875e-266 | 3.19751e-266 | 1 |
26 | 9.72252e-308 | 1.9445e-307 | 1 |
27 | 1.92285e-296 | 3.8457e-296 | 1 |
28 | 4.25369e-307 | 8.50737e-307 | 1 |
29 | 0 | 0 | 1 |
30 | 0 | 0 | 1 |
31 | 5.92628e-09 | 1.18526e-08 | 1 |
32 | 1.14697e-08 | 2.29395e-08 | 1 |
33 | 7.28136e-09 | 1.45627e-08 | 1 |
34 | 3.00812e-09 | 6.01625e-09 | 1 |
35 | 1.1308e-09 | 2.2616e-09 | 1 |
36 | 4.32827e-10 | 8.65654e-10 | 1 |
37 | 8.22123e-07 | 1.64425e-06 | 0.999999 |
38 | 1.57777e-05 | 3.15554e-05 | 0.999984 |
39 | 0.000182588 | 0.000365176 | 0.999817 |
40 | 0.000781103 | 0.00156221 | 0.999219 |
41 | 0.00221328 | 0.00442656 | 0.997787 |
42 | 0.00395 | 0.0079 | 0.99605 |
43 | 0.00296754 | 0.00593507 | 0.997032 |
44 | 0.00203565 | 0.0040713 | 0.997964 |
45 | 0.00132696 | 0.00265392 | 0.998673 |
46 | 0.000870296 | 0.00174059 | 0.99913 |
47 | 0.000558337 | 0.00111667 | 0.999442 |
48 | 0.000394208 | 0.000788415 | 0.999606 |
49 | 0.00248661 | 0.00497322 | 0.997513 |
50 | 0.00354513 | 0.00709025 | 0.996455 |
51 | 0.00504186 | 0.0100837 | 0.994958 |
52 | 0.00538592 | 0.0107718 | 0.994614 |
53 | 0.0062619 | 0.0125238 | 0.993738 |
54 | 0.00809654 | 0.0161931 | 0.991903 |
55 | 0.00685169 | 0.0137034 | 0.993148 |
56 | 0.00638844 | 0.0127769 | 0.993612 |
57 | 0.00524146 | 0.0104829 | 0.994759 |
58 | 0.0077121 | 0.0154242 | 0.992288 |
59 | 0.00729443 | 0.0145889 | 0.992706 |
60 | 0.00525743 | 0.0105149 | 0.994743 |
61 | 0.0179818 | 0.0359636 | 0.982018 |
62 | 0.0416812 | 0.0833623 | 0.958319 |
63 | 0.0389048 | 0.0778097 | 0.961095 |
64 | 0.0350511 | 0.0701021 | 0.964949 |
65 | 0.0314496 | 0.0628992 | 0.96855 |
66 | 0.0432618 | 0.0865235 | 0.956738 |
67 | 0.0348347 | 0.0696694 | 0.965165 |
68 | 0.0295401 | 0.0590803 | 0.97046 |
69 | 0.0239884 | 0.0479768 | 0.976012 |
70 | 0.0187335 | 0.0374669 | 0.981267 |
71 | 0.0144478 | 0.0288956 | 0.985552 |
72 | 0.0109102 | 0.0218203 | 0.98909 |
73 | 0.00925141 | 0.0185028 | 0.990749 |
74 | 0.0138241 | 0.0276483 | 0.986176 |
75 | 0.0105225 | 0.0210449 | 0.989478 |
76 | 0.00797079 | 0.0159416 | 0.992029 |
77 | 0.00585454 | 0.0117091 | 0.994145 |
78 | 0.00439357 | 0.00878715 | 0.995606 |
79 | 0.00326651 | 0.00653302 | 0.996733 |
80 | 0.00343896 | 0.00687792 | 0.996561 |
81 | 0.00271325 | 0.0054265 | 0.997287 |
82 | 0.00214524 | 0.00429048 | 0.997855 |
83 | 0.00161827 | 0.00323654 | 0.998382 |
84 | 0.00121299 | 0.00242599 | 0.998787 |
85 | 0.000857757 | 0.00171551 | 0.999142 |
86 | 0.00103715 | 0.00207431 | 0.998963 |
87 | 0.0010776 | 0.00215519 | 0.998922 |
88 | 0.000781278 | 0.00156256 | 0.999219 |
89 | 0.000537459 | 0.00107492 | 0.999463 |
90 | 0.000462396 | 0.000924792 | 0.999538 |
91 | 0.000315728 | 0.000631455 | 0.999684 |
92 | 0.000243079 | 0.000486158 | 0.999757 |
93 | 0.000186185 | 0.000372371 | 0.999814 |
94 | 0.000124971 | 0.000249942 | 0.999875 |
95 | 8.32443e-05 | 0.000166489 | 0.999917 |
96 | 7.61697e-05 | 0.000152339 | 0.999924 |
97 | 6.78186e-05 | 0.000135637 | 0.999932 |
98 | 4.5336e-05 | 9.06721e-05 | 0.999955 |
99 | 2.91296e-05 | 5.82593e-05 | 0.999971 |
100 | 2.04084e-05 | 4.08167e-05 | 0.99998 |
101 | 1.78016e-05 | 3.56033e-05 | 0.999982 |
102 | 1.40312e-05 | 2.80624e-05 | 0.999986 |
103 | 1.84462e-05 | 3.68925e-05 | 0.999982 |
104 | 1.46978e-05 | 2.93956e-05 | 0.999985 |
105 | 1.50295e-05 | 3.00591e-05 | 0.999985 |
106 | 1.5011e-05 | 3.00221e-05 | 0.999985 |
107 | 1.68059e-05 | 3.36119e-05 | 0.999983 |
108 | 1.70425e-05 | 3.40849e-05 | 0.999983 |
109 | 1.71751e-05 | 3.43503e-05 | 0.999983 |
110 | 1.35897e-05 | 2.71795e-05 | 0.999986 |
111 | 1.25195e-05 | 2.50391e-05 | 0.999987 |
112 | 3.46463e-05 | 6.92926e-05 | 0.999965 |
113 | 6.71224e-05 | 0.000134245 | 0.999933 |
114 | 0.000149893 | 0.000299786 | 0.99985 |
115 | 0.000149775 | 0.00029955 | 0.99985 |
116 | 0.000149356 | 0.000298713 | 0.999851 |
117 | 0.000145323 | 0.000290646 | 0.999855 |
118 | 0.000161733 | 0.000323466 | 0.999838 |
119 | 0.00023973 | 0.00047946 | 0.99976 |
120 | 0.000511463 | 0.00102293 | 0.999489 |
121 | 0.00072169 | 0.00144338 | 0.999278 |
122 | 0.000977648 | 0.0019553 | 0.999022 |
123 | 0.000694929 | 0.00138986 | 0.999305 |
124 | 0.000653598 | 0.0013072 | 0.999346 |
125 | 0.000642233 | 0.00128447 | 0.999358 |
126 | 0.000658504 | 0.00131701 | 0.999341 |
127 | 0.000600815 | 0.00120163 | 0.999399 |
128 | 0.000596936 | 0.00119387 | 0.999403 |
129 | 0.000584971 | 0.00116994 | 0.999415 |
130 | 0.000604166 | 0.00120833 | 0.999396 |
131 | 0.000590036 | 0.00118007 | 0.99941 |
132 | 0.000571531 | 0.00114306 | 0.999428 |
133 | 0.000654934 | 0.00130987 | 0.999345 |
134 | 0.000814898 | 0.0016298 | 0.999185 |
135 | 0.000579445 | 0.00115889 | 0.999421 |
136 | 0.000392052 | 0.000784104 | 0.999608 |
137 | 0.000265521 | 0.000531042 | 0.999734 |
138 | 0.000187903 | 0.000375805 | 0.999812 |
139 | 0.000160495 | 0.00032099 | 0.99984 |
140 | 0.00011157 | 0.000223139 | 0.999888 |
141 | 0.000115514 | 0.000231029 | 0.999884 |
142 | 7.97951e-05 | 0.00015959 | 0.99992 |
143 | 8.34482e-05 | 0.000166896 | 0.999917 |
144 | 0.000269097 | 0.000538194 | 0.999731 |
145 | 0.000498778 | 0.000997555 | 0.999501 |
146 | 0.00284184 | 0.00568368 | 0.997158 |
147 | 0.00236032 | 0.00472064 | 0.99764 |
148 | 0.00185169 | 0.00370339 | 0.998148 |
149 | 0.00133767 | 0.00267534 | 0.998662 |
150 | 0.00121539 | 0.00243078 | 0.998785 |
151 | 0.00132239 | 0.00264478 | 0.998678 |
152 | 0.00127909 | 0.00255818 | 0.998721 |
153 | 0.000855602 | 0.0017112 | 0.999144 |
154 | 0.000752655 | 0.00150531 | 0.999247 |
155 | 0.000624044 | 0.00124809 | 0.999376 |
156 | 0.000458777 | 0.000917555 | 0.999541 |
157 | 0.000542301 | 0.0010846 | 0.999458 |
158 | 0.000856341 | 0.00171268 | 0.999144 |
159 | 0.000542303 | 0.00108461 | 0.999458 |
160 | 0.000382908 | 0.000765816 | 0.999617 |
161 | 0.000252364 | 0.000504728 | 0.999748 |
162 | 0.000160591 | 0.000321183 | 0.999839 |
163 | 0.000103908 | 0.000207816 | 0.999896 |
164 | 0.000188907 | 0.000377814 | 0.999811 |
165 | 0.000351643 | 0.000703286 | 0.999648 |
166 | 0.000417052 | 0.000834104 | 0.999583 |
167 | 0.000380491 | 0.000760981 | 0.99962 |
168 | 0.000674951 | 0.0013499 | 0.999325 |
169 | 0.001725 | 0.00345001 | 0.998275 |
170 | 0.00265739 | 0.00531479 | 0.997343 |
171 | 0.999631 | 0.000737586 | 0.000368793 |
172 | 0.999698 | 0.000604353 | 0.000302177 |
173 | 0.999496 | 0.00100803 | 0.000504015 |
174 | 0.99917 | 0.00166051 | 0.000830254 |
175 | 0.998498 | 0.00300482 | 0.00150241 |
176 | 0.99893 | 0.00213953 | 0.00106976 |
177 | 0.999503 | 0.000994575 | 0.000497288 |
178 | 0.999354 | 0.00129213 | 0.000646066 |
179 | 0.998157 | 0.00368518 | 0.00184259 |
180 | 0.995986 | 0.00802741 | 0.0040137 |
181 | 0.989681 | 0.0206378 | 0.0103189 |
182 | 0.975559 | 0.0488816 | 0.0244408 |
183 | 1 | 0 | 0 |
184 | 1 | 0 | 0 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 145 | 0.833333 | NOK |
5% type I error level | 167 | 0.95977 | NOK |
10% type I error level | 174 | 1 | NOK |