Multiple Linear Regression - Estimated Regression Equation |
MDVP:Fo(Hz)[t] = + 273.136 + 0.032081`MDVP:Fhi(Hz)`[t] + 0.253581`MDVP:Flo(Hz)`[t] + 10789`MDVP:Jitter(%)`[t] -1908790`MDVP:Jitter(Abs)`[t] + 634677`MDVP:RAP`[t] -1414.87`MDVP:PPQ`[t] -208729`Jitter:DDP`[t] + 29.6851`MDVP:Shimmer`[t] -75.8815`MDVP:Shimmer(dB)`[t] + 83071.4`Shimmer:APQ3`[t] + 2153.1`Shimmer:APQ5`[t] -1353.89`MDVP:APQ`[t] -27427.9`Shimmer:DDA`[t] -243.27NHR[t] -0.489573HNR[t] -5.45749status[t] -36.3502RPDE[t] -225.998DFA[t] -3.09461spread1[t] + 24.6912spread2[t] + 8.16084D2[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) | 273.136 | 48.8656 | 5.59 | 8.71872e-08 | 4.35936e-08 |
`MDVP:Fhi(Hz)` | 0.032081 | 0.016436 | 1.952 | 0.0525685 | 0.0262842 |
`MDVP:Flo(Hz)` | 0.253581 | 0.0369485 | 6.863 | 1.15454e-10 | 5.77269e-11 |
`MDVP:Jitter(%)` | 10789 | 3409.95 | 3.164 | 0.00183892 | 0.000919458 |
`MDVP:Jitter(Abs)` | -1908790 | 176101 | -10.84 | 3.20374e-21 | 1.60187e-21 |
`MDVP:RAP` | 634677 | 479578 | 1.323 | 0.187446 | 0.093723 |
`MDVP:PPQ` | -1414.87 | 4214.57 | -0.3357 | 0.737497 | 0.368748 |
`Jitter:DDP` | -208729 | 159951 | -1.305 | 0.193641 | 0.0968207 |
`MDVP:Shimmer` | 29.6851 | 1775.32 | 0.01672 | 0.986678 | 0.493339 |
`MDVP:Shimmer(dB)` | -75.8815 | 59.3923 | -1.278 | 0.203091 | 0.101546 |
`Shimmer:APQ3` | 83071.4 | 462766 | 0.1795 | 0.857747 | 0.428873 |
`Shimmer:APQ5` | 2153.1 | 1030.31 | 2.09 | 0.0381026 | 0.0190513 |
`MDVP:APQ` | -1353.89 | 540.572 | -2.505 | 0.0131859 | 0.00659293 |
`Shimmer:DDA` | -27427.9 | 154214 | -0.1779 | 0.859044 | 0.429522 |
NHR | -243.27 | 101.249 | -2.403 | 0.0173332 | 0.0086666 |
HNR | -0.489573 | 0.738263 | -0.6631 | 0.508122 | 0.254061 |
status | -5.45749 | 3.91326 | -1.395 | 0.164921 | 0.0824603 |
RPDE | -36.3502 | 22.921 | -1.586 | 0.114591 | 0.0572954 |
DFA | -225.998 | 33.4746 | -6.751 | 2.12997e-10 | 1.06499e-10 |
spread1 | -3.09461 | 2.88981 | -1.071 | 0.285719 | 0.14286 |
spread2 | 24.6912 | 25.1534 | 0.9816 | 0.327655 | 0.163828 |
D2 | 8.16084 | 5.85933 | 1.393 | 0.165469 | 0.0827346 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.922673 |
R-squared | 0.851325 |
Adjusted R-squared | 0.833278 |
F-TEST (value) | 47.1719 |
F-TEST (DF numerator) | 21 |
F-TEST (DF denominator) | 173 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 16.9002 |
Sum Squared Residuals | 49412 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 119.992 | 107.223 | 12.7688 |
2 | 122.4 | 126.911 | -4.51142 |
3 | 116.682 | 121.253 | -4.57077 |
4 | 116.676 | 118.08 | -1.40447 |
5 | 116.014 | 119.263 | -3.24917 |
6 | 120.552 | 123.481 | -2.92946 |
7 | 120.267 | 116.868 | 3.39867 |
8 | 107.332 | 114.538 | -7.2059 |
9 | 95.73 | 90.87 | 4.85996 |
10 | 95.056 | 84.1834 | 10.8726 |
11 | 88.333 | 79.5725 | 8.76045 |
12 | 91.904 | 84.8379 | 7.06608 |
13 | 136.926 | 166.11 | -29.1837 |
14 | 139.173 | 140.444 | -1.27085 |
15 | 152.845 | 155.553 | -2.70842 |
16 | 142.167 | 142.446 | -0.279462 |
17 | 144.188 | 148.688 | -4.5004 |
18 | 168.778 | 159.981 | 8.79721 |
19 | 153.046 | 122.426 | 30.62 |
20 | 156.405 | 154.706 | 1.69855 |
21 | 153.848 | 139.193 | 14.655 |
22 | 153.88 | 135.267 | 18.6128 |
23 | 167.93 | 138.034 | 29.8962 |
24 | 173.917 | 150.59 | 23.3267 |
25 | 163.656 | 147.577 | 16.0789 |
26 | 104.4 | 94.7973 | 9.6027 |
27 | 171.041 | 149.183 | 21.8581 |
28 | 146.845 | 153.25 | -6.4045 |
29 | 155.358 | 160.233 | -4.87515 |
30 | 162.568 | 148.035 | 14.5331 |
31 | 197.076 | 197.992 | -0.915834 |
32 | 199.228 | 191.874 | 7.35413 |
33 | 198.383 | 181.93 | 16.4525 |
34 | 202.266 | 184.986 | 17.2802 |
35 | 203.184 | 181.117 | 22.0669 |
36 | 201.464 | 193.432 | 8.03247 |
37 | 177.876 | 181.936 | -4.05982 |
38 | 176.17 | 170.54 | 5.6301 |
39 | 180.198 | 163.39 | 16.8083 |
40 | 187.733 | 169.332 | 18.4008 |
41 | 186.163 | 168.931 | 17.2319 |
42 | 184.055 | 177.58 | 6.47533 |
43 | 237.226 | 239.15 | -1.92356 |
44 | 241.404 | 237.109 | 4.2945 |
45 | 243.439 | 225.618 | 17.8214 |
46 | 242.852 | 228.121 | 14.7313 |
47 | 245.51 | 231.367 | 14.1428 |
48 | 252.455 | 206.646 | 45.8087 |
49 | 122.188 | 134.894 | -12.7061 |
50 | 122.964 | 136.292 | -13.3276 |
51 | 124.445 | 135.575 | -11.1302 |
52 | 126.344 | 125.177 | 1.16705 |
53 | 128.001 | 143.417 | -15.4158 |
54 | 129.336 | 129.444 | -0.107968 |
55 | 108.807 | 89.2147 | 19.5923 |
56 | 109.86 | 87.7037 | 22.1563 |
57 | 110.417 | 91.9397 | 18.4773 |
58 | 117.274 | 102.145 | 15.1287 |
59 | 116.879 | 86.2713 | 30.6077 |
60 | 114.847 | 79.9247 | 34.9223 |
61 | 209.144 | 194.823 | 14.3205 |
62 | 223.365 | 192.771 | 30.5943 |
63 | 222.236 | 213.546 | 8.6895 |
64 | 228.832 | 230.093 | -1.26116 |
65 | 229.401 | 218.584 | 10.8169 |
66 | 228.969 | 191.777 | 37.1921 |
67 | 140.341 | 140.558 | -0.217081 |
68 | 136.969 | 128.52 | 8.44855 |
69 | 143.533 | 134.03 | 9.50286 |
70 | 148.09 | 149.741 | -1.65059 |
71 | 142.729 | 128.514 | 14.2154 |
72 | 136.358 | 131.318 | 5.03983 |
73 | 120.08 | 137.495 | -17.4153 |
74 | 112.014 | 118.709 | -6.69547 |
75 | 110.793 | 119.335 | -8.54164 |
76 | 110.707 | 103.503 | 7.20441 |
77 | 112.876 | 134.056 | -21.1797 |
78 | 110.568 | 112.691 | -2.12301 |
79 | 95.385 | 94.596 | 0.789023 |
80 | 100.77 | 83.9556 | 16.8144 |
81 | 96.106 | 95.3772 | 0.72879 |
82 | 95.605 | 99.2319 | -3.62692 |
83 | 100.96 | 100.629 | 0.331237 |
84 | 98.804 | 110.782 | -11.9781 |
85 | 176.858 | 179.133 | -2.27515 |
86 | 180.978 | 194.04 | -13.062 |
87 | 178.222 | 177.987 | 0.235069 |
88 | 176.281 | 178.949 | -2.6682 |
89 | 173.898 | 154.901 | 18.9974 |
90 | 179.711 | 178.974 | 0.73736 |
91 | 166.605 | 164.283 | 2.32169 |
92 | 151.955 | 173.453 | -21.4984 |
93 | 148.272 | 165.918 | -17.6458 |
94 | 152.125 | 141.894 | 10.2311 |
95 | 157.821 | 163.178 | -5.35745 |
96 | 157.447 | 183.012 | -25.565 |
97 | 159.116 | 178.368 | -19.2521 |
98 | 125.036 | 131.17 | -6.13398 |
99 | 125.791 | 120.841 | 4.94984 |
100 | 126.512 | 110.581 | 15.9313 |
101 | 125.641 | 106.669 | 18.9724 |
102 | 128.451 | 121.121 | 7.32985 |
103 | 139.224 | 146.26 | -7.03578 |
104 | 150.258 | 135.395 | 14.863 |
105 | 154.003 | 169.003 | -14.9998 |
106 | 149.689 | 153.999 | -4.31007 |
107 | 155.078 | 173.885 | -18.8065 |
108 | 151.884 | 157.045 | -5.16072 |
109 | 151.989 | 171.401 | -19.4118 |
110 | 193.03 | 184.537 | 8.49268 |
111 | 200.714 | 186.411 | 14.3034 |
112 | 208.519 | 218.335 | -9.81591 |
113 | 204.664 | 220.602 | -15.9377 |
114 | 210.141 | 196.517 | 13.6238 |
115 | 206.327 | 199.807 | 6.52036 |
116 | 151.872 | 151.26 | 0.612436 |
117 | 158.219 | 167.939 | -9.71965 |
118 | 170.756 | 176.165 | -5.40921 |
119 | 178.285 | 168.04 | 10.2445 |
120 | 217.116 | 196.832 | 20.2839 |
121 | 128.94 | 137.325 | -8.38483 |
122 | 176.824 | 159.03 | 17.7938 |
123 | 138.19 | 141.515 | -3.32482 |
124 | 182.018 | 167.774 | 14.2443 |
125 | 156.239 | 158.723 | -2.4842 |
126 | 145.174 | 137.329 | 7.84476 |
127 | 138.145 | 128.965 | 9.18026 |
128 | 166.888 | 151.392 | 15.496 |
129 | 119.031 | 138.506 | -19.4753 |
130 | 120.078 | 138.87 | -18.7923 |
131 | 120.289 | 137.483 | -17.1944 |
132 | 120.256 | 144.835 | -24.5786 |
133 | 119.056 | 133.774 | -14.7182 |
134 | 118.747 | 133.573 | -14.8255 |
135 | 106.516 | 107.181 | -0.66496 |
136 | 110.453 | 142.143 | -31.6898 |
137 | 113.4 | 119.23 | -5.83029 |
138 | 113.166 | 138.258 | -25.0925 |
139 | 112.239 | 136.841 | -24.6023 |
140 | 116.15 | 141.765 | -25.6151 |
141 | 170.368 | 168.192 | 2.17589 |
142 | 208.083 | 204.05 | 4.03331 |
143 | 198.458 | 192.489 | 5.96938 |
144 | 202.805 | 177.833 | 24.9722 |
145 | 202.544 | 203.328 | -0.784309 |
146 | 223.361 | 197.059 | 26.302 |
147 | 169.774 | 161.612 | 8.16188 |
148 | 183.52 | 197.984 | -14.4643 |
149 | 188.62 | 210.438 | -21.818 |
150 | 202.632 | 218.77 | -16.1378 |
151 | 186.695 | 180.206 | 6.48869 |
152 | 192.818 | 194.3 | -1.48211 |
153 | 198.116 | 225.957 | -27.8413 |
154 | 121.345 | 124.9 | -3.55498 |
155 | 119.1 | 124.217 | -5.11704 |
156 | 117.87 | 146.367 | -28.4966 |
157 | 122.336 | 147.911 | -25.5749 |
158 | 117.963 | 125.073 | -7.10999 |
159 | 126.144 | 154.939 | -28.795 |
160 | 127.93 | 122.267 | 5.66264 |
161 | 114.238 | 96.0135 | 18.2245 |
162 | 115.322 | 130.112 | -14.7904 |
163 | 114.554 | 105.967 | 8.58659 |
164 | 112.15 | 128.744 | -16.594 |
165 | 102.273 | 96.0555 | 6.21753 |
166 | 236.2 | 203.67 | 32.5295 |
167 | 237.323 | 238.23 | -0.906904 |
168 | 260.105 | 247.304 | 12.8014 |
169 | 197.569 | 208.466 | -10.8966 |
170 | 240.301 | 246.324 | -6.0231 |
171 | 244.99 | 241.221 | 3.76861 |
172 | 112.547 | 134.746 | -22.199 |
173 | 110.739 | 130.666 | -19.9274 |
174 | 113.715 | 128.3 | -14.5848 |
175 | 117.004 | 137.849 | -20.8451 |
176 | 115.38 | 134.113 | -18.7326 |
177 | 116.388 | 133.878 | -17.49 |
178 | 151.737 | 156.812 | -5.07451 |
179 | 148.79 | 154.64 | -5.85021 |
180 | 148.143 | 147.508 | 0.635248 |
181 | 150.44 | 150.053 | 0.386724 |
182 | 148.462 | 152.402 | -3.93982 |
183 | 149.818 | 167.411 | -17.5926 |
184 | 117.226 | 130.89 | -13.6637 |
185 | 116.848 | 132.365 | -15.5167 |
186 | 116.286 | 134.562 | -18.2756 |
187 | 116.556 | 159.73 | -43.1736 |
188 | 116.342 | 169.204 | -52.8619 |
189 | 114.563 | 138.865 | -24.302 |
190 | 201.774 | 204.338 | -2.56434 |
191 | 174.188 | 182.451 | -8.26346 |
192 | 209.516 | 194.35 | 15.1663 |
193 | 174.688 | 183.637 | -8.94932 |
194 | 198.764 | 190.535 | 8.22926 |
195 | 214.289 | 181.585 | 32.7039 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
25 | 0.182628 | 0.365256 | 0.817372 |
26 | 0.0871164 | 0.174233 | 0.912884 |
27 | 0.0389556 | 0.0779111 | 0.961044 |
28 | 0.0402447 | 0.0804894 | 0.959755 |
29 | 0.0175188 | 0.0350376 | 0.982481 |
30 | 0.00848602 | 0.016972 | 0.991514 |
31 | 0.00335196 | 0.00670391 | 0.996648 |
32 | 0.00150173 | 0.00300346 | 0.998498 |
33 | 0.00101914 | 0.00203827 | 0.998981 |
34 | 0.000693778 | 0.00138756 | 0.999306 |
35 | 0.000293259 | 0.000586518 | 0.999707 |
36 | 0.000117365 | 0.000234731 | 0.999883 |
37 | 6.54923e-05 | 0.000130985 | 0.999935 |
38 | 2.438e-05 | 4.876e-05 | 0.999976 |
39 | 0.00010355 | 0.000207099 | 0.999896 |
40 | 0.000149103 | 0.000298205 | 0.999851 |
41 | 0.000105342 | 0.000210684 | 0.999895 |
42 | 4.92456e-05 | 9.84912e-05 | 0.999951 |
43 | 6.09299e-05 | 0.00012186 | 0.999939 |
44 | 4.77789e-05 | 9.55577e-05 | 0.999952 |
45 | 8.52043e-05 | 0.000170409 | 0.999915 |
46 | 9.50019e-05 | 0.000190004 | 0.999905 |
47 | 9.86436e-05 | 0.000197287 | 0.999901 |
48 | 0.00665352 | 0.013307 | 0.993346 |
49 | 0.00454992 | 0.00909983 | 0.99545 |
50 | 0.00346251 | 0.00692502 | 0.996537 |
51 | 0.0021089 | 0.0042178 | 0.997891 |
52 | 0.00156793 | 0.00313586 | 0.998432 |
53 | 0.00101629 | 0.00203258 | 0.998984 |
54 | 0.000600293 | 0.00120059 | 0.9994 |
55 | 0.0034592 | 0.00691839 | 0.996541 |
56 | 0.0067993 | 0.0135986 | 0.993201 |
57 | 0.0059405 | 0.011881 | 0.99406 |
58 | 0.00833123 | 0.0166625 | 0.991669 |
59 | 0.0141871 | 0.0283741 | 0.985813 |
60 | 0.0299602 | 0.0599205 | 0.97004 |
61 | 0.0242903 | 0.0485807 | 0.97571 |
62 | 0.040121 | 0.080242 | 0.959879 |
63 | 0.0408871 | 0.0817742 | 0.959113 |
64 | 0.0429619 | 0.0859237 | 0.957038 |
65 | 0.0450642 | 0.0901285 | 0.954936 |
66 | 0.102271 | 0.204542 | 0.897729 |
67 | 0.0859539 | 0.171908 | 0.914046 |
68 | 0.0675959 | 0.135192 | 0.932404 |
69 | 0.0541007 | 0.108201 | 0.945899 |
70 | 0.0680911 | 0.136182 | 0.931909 |
71 | 0.0541156 | 0.108231 | 0.945884 |
72 | 0.0445511 | 0.0891023 | 0.955449 |
73 | 0.0404244 | 0.0808489 | 0.959576 |
74 | 0.185266 | 0.370533 | 0.814734 |
75 | 0.242734 | 0.485468 | 0.757266 |
76 | 0.212328 | 0.424656 | 0.787672 |
77 | 0.200264 | 0.400529 | 0.799736 |
78 | 0.174902 | 0.349804 | 0.825098 |
79 | 0.174933 | 0.349866 | 0.825067 |
80 | 0.182838 | 0.365676 | 0.817162 |
81 | 0.21218 | 0.424359 | 0.78782 |
82 | 0.195538 | 0.391076 | 0.804462 |
83 | 0.223149 | 0.446297 | 0.776851 |
84 | 0.272071 | 0.544143 | 0.727929 |
85 | 0.334562 | 0.669124 | 0.665438 |
86 | 0.296996 | 0.593992 | 0.703004 |
87 | 0.302126 | 0.604253 | 0.697874 |
88 | 0.265473 | 0.530946 | 0.734527 |
89 | 0.311154 | 0.622309 | 0.688846 |
90 | 0.289608 | 0.579215 | 0.710392 |
91 | 0.254537 | 0.509074 | 0.745463 |
92 | 0.26472 | 0.529439 | 0.73528 |
93 | 0.261719 | 0.523439 | 0.738281 |
94 | 0.260893 | 0.521786 | 0.739107 |
95 | 0.224719 | 0.449439 | 0.775281 |
96 | 0.2607 | 0.521399 | 0.7393 |
97 | 0.280195 | 0.560389 | 0.719805 |
98 | 0.249219 | 0.498438 | 0.750781 |
99 | 0.217447 | 0.434893 | 0.782553 |
100 | 0.211372 | 0.422744 | 0.788628 |
101 | 0.205959 | 0.411919 | 0.794041 |
102 | 0.201202 | 0.402404 | 0.798798 |
103 | 0.257627 | 0.515255 | 0.742373 |
104 | 0.274449 | 0.548899 | 0.725551 |
105 | 0.271572 | 0.543144 | 0.728428 |
106 | 0.235541 | 0.471082 | 0.764459 |
107 | 0.211974 | 0.423949 | 0.788026 |
108 | 0.180348 | 0.360697 | 0.819652 |
109 | 0.179669 | 0.359337 | 0.820331 |
110 | 0.158656 | 0.317311 | 0.841344 |
111 | 0.141049 | 0.282098 | 0.858951 |
112 | 0.126647 | 0.253295 | 0.873353 |
113 | 0.132518 | 0.265036 | 0.867482 |
114 | 0.15426 | 0.30852 | 0.84574 |
115 | 0.12879 | 0.25758 | 0.87121 |
116 | 0.111688 | 0.223376 | 0.888312 |
117 | 0.0996145 | 0.199229 | 0.900386 |
118 | 0.0848224 | 0.169645 | 0.915178 |
119 | 0.0837324 | 0.167465 | 0.916268 |
120 | 0.129396 | 0.258792 | 0.870604 |
121 | 0.161749 | 0.323497 | 0.838251 |
122 | 0.200475 | 0.400949 | 0.799525 |
123 | 0.176988 | 0.353977 | 0.823012 |
124 | 0.163074 | 0.326149 | 0.836926 |
125 | 0.140338 | 0.280675 | 0.859662 |
126 | 0.13998 | 0.27996 | 0.86002 |
127 | 0.1522 | 0.304401 | 0.8478 |
128 | 0.315249 | 0.630499 | 0.684751 |
129 | 0.301585 | 0.603169 | 0.698415 |
130 | 0.293118 | 0.586236 | 0.706882 |
131 | 0.274494 | 0.548989 | 0.725506 |
132 | 0.284166 | 0.568333 | 0.715834 |
133 | 0.291484 | 0.582968 | 0.708516 |
134 | 0.275283 | 0.550565 | 0.724717 |
135 | 0.433788 | 0.867575 | 0.566212 |
136 | 0.504857 | 0.990286 | 0.495143 |
137 | 0.463363 | 0.926726 | 0.536637 |
138 | 0.516152 | 0.967696 | 0.483848 |
139 | 0.552147 | 0.895706 | 0.447853 |
140 | 0.751059 | 0.497882 | 0.248941 |
141 | 0.715116 | 0.569768 | 0.284884 |
142 | 0.69147 | 0.617059 | 0.30853 |
143 | 0.697352 | 0.605296 | 0.302648 |
144 | 0.714591 | 0.570817 | 0.285409 |
145 | 0.76122 | 0.47756 | 0.23878 |
146 | 0.764517 | 0.470966 | 0.235483 |
147 | 0.751914 | 0.496172 | 0.248086 |
148 | 0.736829 | 0.526342 | 0.263171 |
149 | 0.769127 | 0.461747 | 0.230873 |
150 | 0.722505 | 0.554991 | 0.277495 |
151 | 0.754018 | 0.491964 | 0.245982 |
152 | 0.72445 | 0.5511 | 0.27555 |
153 | 0.718008 | 0.563985 | 0.281992 |
154 | 0.705618 | 0.588764 | 0.294382 |
155 | 0.72994 | 0.54012 | 0.27006 |
156 | 0.840202 | 0.319596 | 0.159798 |
157 | 0.804908 | 0.390184 | 0.195092 |
158 | 0.757703 | 0.484594 | 0.242297 |
159 | 0.730202 | 0.539596 | 0.269798 |
160 | 0.665855 | 0.668289 | 0.334145 |
161 | 0.587668 | 0.824663 | 0.412332 |
162 | 0.780977 | 0.438045 | 0.219023 |
163 | 0.710017 | 0.579966 | 0.289983 |
164 | 0.654547 | 0.690906 | 0.345453 |
165 | 0.653573 | 0.692854 | 0.346427 |
166 | 0.849823 | 0.300354 | 0.150177 |
167 | 0.76249 | 0.47502 | 0.23751 |
168 | 0.72288 | 0.55424 | 0.27712 |
169 | 0.710453 | 0.579095 | 0.289547 |
170 | 0.759474 | 0.481052 | 0.240526 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 24 | 0.164384 | NOK |
5% type I error level | 32 | 0.219178 | NOK |
10% type I error level | 41 | 0.280822 | NOK |