Multiple Linear Regression - Estimated Regression Equation |
MDVP:Fo(Hz)[t] = + 160.228 + 0.0549271`MDVP:Fhi(Hz)`[t] + 19835.2`MDVP:Jitter(%)`[t] -2613680`MDVP:Jitter(Abs)`[t] -3404.11`MDVP:PPQ`[t] -564.084`MDVP:APQ`[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) | 160.228 | 5.42458 | 29.54 | 9.61157e-73 | 4.80578e-73 |
`MDVP:Fhi(Hz)` | 0.0549271 | 0.0212589 | 2.584 | 0.0105289 | 0.00526444 |
`MDVP:Jitter(%)` | 19835.2 | 2130.22 | 9.311 | 3.26379e-17 | 1.63189e-17 |
`MDVP:Jitter(Abs)` | -2613680 | 162618 | -16.07 | 3.32833e-37 | 1.66416e-37 |
`MDVP:PPQ` | -3404.11 | 3168.08 | -1.075 | 0.283967 | 0.141983 |
`MDVP:APQ` | -564.084 | 185.928 | -3.034 | 0.00275391 | 0.00137696 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.811161 |
R-squared | 0.657983 |
Adjusted R-squared | 0.648935 |
F-TEST (value) | 72.7208 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 189 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 24.5239 |
Sum Squared Residuals | 113669 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 119.992 | 105.801 | 14.1906 |
2 | 122.4 | 102.972 | 19.4279 |
3 | 116.682 | 93.6319 | 23.0501 |
4 | 116.676 | 85.2893 | 31.3867 |
5 | 116.014 | 79.0998 | 36.9142 |
6 | 120.552 | 106.519 | 14.0327 |
7 | 120.267 | 140.911 | -20.6437 |
8 | 107.332 | 132.313 | -24.9807 |
9 | 95.73 | 98.9668 | -3.23684 |
10 | 95.056 | 90.4401 | 4.61594 |
11 | 88.333 | 87.8345 | 0.498523 |
12 | 91.904 | 92.9557 | -1.05165 |
13 | 136.926 | 163.214 | -26.2882 |
14 | 139.173 | 151.798 | -12.6249 |
15 | 152.845 | 163.14 | -10.2947 |
16 | 142.167 | 152.378 | -10.2109 |
17 | 144.188 | 161.13 | -16.9415 |
18 | 168.778 | 178.329 | -9.55122 |
19 | 153.046 | 139.143 | 13.9029 |
20 | 156.405 | 154.388 | 2.01736 |
21 | 153.848 | 167.072 | -13.2238 |
22 | 153.88 | 151.908 | 1.97194 |
23 | 167.93 | 147.744 | 20.1863 |
24 | 173.917 | 156.76 | 17.1568 |
25 | 163.656 | 166.033 | -2.37706 |
26 | 104.4 | 106.192 | -1.7919 |
27 | 171.041 | 164.985 | 6.05592 |
28 | 146.845 | 172.003 | -25.1576 |
29 | 155.358 | 166.573 | -11.2149 |
30 | 162.568 | 173.525 | -10.9572 |
31 | 197.076 | 192.537 | 4.53919 |
32 | 199.228 | 184.406 | 14.8216 |
33 | 198.383 | 178.003 | 20.3802 |
34 | 202.266 | 176.333 | 25.9326 |
35 | 203.184 | 175.927 | 27.2571 |
36 | 201.464 | 175.618 | 25.8459 |
37 | 177.876 | 182.777 | -4.90129 |
38 | 176.17 | 175.51 | 0.659924 |
39 | 180.198 | 162.977 | 17.2205 |
40 | 187.733 | 167.846 | 19.8866 |
41 | 186.163 | 165.012 | 21.1511 |
42 | 184.055 | 184.097 | -0.0419146 |
43 | 237.226 | 194.199 | 43.027 |
44 | 241.404 | 190.551 | 50.8534 |
45 | 243.439 | 181.651 | 61.7884 |
46 | 242.852 | 184.891 | 57.9606 |
47 | 245.51 | 183.581 | 61.9291 |
48 | 252.455 | 184.293 | 68.1622 |
49 | 122.188 | 151.688 | -29.5004 |
50 | 122.964 | 160.682 | -37.7185 |
51 | 124.445 | 159.537 | -35.0921 |
52 | 126.344 | 137.059 | -10.7147 |
53 | 128.001 | 160.772 | -32.7709 |
54 | 129.336 | 143.344 | -14.0081 |
55 | 108.807 | 107.41 | 1.39745 |
56 | 109.86 | 99.2436 | 10.6164 |
57 | 110.417 | 106.675 | 3.74165 |
58 | 117.274 | 132.751 | -15.4768 |
59 | 116.879 | 111.98 | 4.89863 |
60 | 114.847 | 106.097 | 8.74975 |
61 | 209.144 | 190.102 | 19.042 |
62 | 223.365 | 186.885 | 36.4804 |
63 | 222.236 | 187.89 | 34.3465 |
64 | 228.832 | 193.764 | 35.068 |
65 | 229.401 | 181.644 | 47.7574 |
66 | 228.969 | 182.73 | 46.2388 |
67 | 140.341 | 145.563 | -5.2223 |
68 | 136.969 | 139.057 | -2.08806 |
69 | 143.533 | 143.399 | 0.134059 |
70 | 148.09 | 157.077 | -8.98731 |
71 | 142.729 | 146.261 | -3.5319 |
72 | 136.358 | 142.225 | -5.8669 |
73 | 120.08 | 154.749 | -34.6686 |
74 | 112.014 | 145.359 | -33.3447 |
75 | 110.793 | 140.741 | -29.9485 |
76 | 110.707 | 119.117 | -8.40993 |
77 | 112.876 | 137.941 | -25.0652 |
78 | 110.568 | 135.448 | -24.8796 |
79 | 95.385 | 104.466 | -9.08141 |
80 | 100.77 | 79.4315 | 21.3385 |
81 | 96.106 | 90.5458 | 5.56024 |
82 | 95.605 | 97.4479 | -1.84288 |
83 | 100.96 | 107.929 | -6.96869 |
84 | 98.804 | 129.452 | -30.6475 |
85 | 176.858 | 181.045 | -4.1866 |
86 | 180.978 | 174.943 | 6.03456 |
87 | 178.222 | 160.438 | 17.7842 |
88 | 176.281 | 160.414 | 15.8673 |
89 | 173.898 | 146.555 | 27.3431 |
90 | 179.711 | 174.97 | 4.74064 |
91 | 166.605 | 169.906 | -3.30118 |
92 | 151.955 | 134.075 | 17.8795 |
93 | 148.272 | 155.999 | -7.72738 |
94 | 152.125 | 133.956 | 18.1691 |
95 | 157.821 | 166.203 | -8.38164 |
96 | 157.447 | 168.906 | -11.4589 |
97 | 159.116 | 162.961 | -3.84455 |
98 | 125.036 | 122.031 | 3.00468 |
99 | 125.791 | 109.432 | 16.3589 |
100 | 126.512 | 93.6509 | 32.8611 |
101 | 125.641 | 59.3949 | 66.2461 |
102 | 128.451 | 102.366 | 26.0852 |
103 | 139.224 | 125.282 | 13.9419 |
104 | 150.258 | 155.317 | -5.05923 |
105 | 154.003 | 170.876 | -16.8728 |
106 | 149.689 | 157.205 | -7.51577 |
107 | 155.078 | 168.042 | -12.9639 |
108 | 151.884 | 156.495 | -4.61135 |
109 | 151.989 | 168.378 | -16.3888 |
110 | 193.03 | 194.096 | -1.06586 |
111 | 200.714 | 195.379 | 5.33519 |
112 | 208.519 | 195.803 | 12.7157 |
113 | 204.664 | 208.174 | -3.50958 |
114 | 210.141 | 183.65 | 26.4912 |
115 | 206.327 | 201.15 | 5.17676 |
116 | 151.872 | 179.995 | -28.123 |
117 | 158.219 | 186.095 | -27.8758 |
118 | 170.756 | 198.431 | -27.6749 |
119 | 178.285 | 184.683 | -6.39824 |
120 | 217.116 | 190.492 | 26.6236 |
121 | 128.94 | 150.665 | -21.7253 |
122 | 176.824 | 171.135 | 5.68906 |
123 | 138.19 | 148.651 | -10.4614 |
124 | 182.018 | 181.21 | 0.807725 |
125 | 156.239 | 180.906 | -24.6669 |
126 | 145.174 | 160.487 | -15.3131 |
127 | 138.145 | 150.544 | -12.3995 |
128 | 166.888 | 168.231 | -1.34261 |
129 | 119.031 | 138.851 | -19.8196 |
130 | 120.078 | 158.776 | -38.6983 |
131 | 120.289 | 145.472 | -25.1831 |
132 | 120.256 | 155.062 | -34.8062 |
133 | 119.056 | 146.377 | -27.3212 |
134 | 118.747 | 143.354 | -24.6067 |
135 | 106.516 | 94.9778 | 11.5382 |
136 | 110.453 | 131.249 | -20.7956 |
137 | 113.4 | 118.178 | -4.7782 |
138 | 113.166 | 128.469 | -15.3034 |
139 | 112.239 | 121.278 | -9.03947 |
140 | 116.15 | 141.103 | -24.9532 |
141 | 170.368 | 184.755 | -14.3866 |
142 | 208.083 | 180.024 | 28.0593 |
143 | 198.458 | 172.99 | 25.4679 |
144 | 202.805 | 178.383 | 24.4215 |
145 | 202.544 | 181.887 | 20.6572 |
146 | 223.361 | 175.1 | 48.2605 |
147 | 169.774 | 164.659 | 5.11505 |
148 | 183.52 | 190.078 | -6.55767 |
149 | 188.62 | 204.392 | -15.7723 |
150 | 202.632 | 235.706 | -33.0742 |
151 | 186.695 | 207.229 | -20.5338 |
152 | 192.818 | 226.275 | -33.4574 |
153 | 198.116 | 240.688 | -42.5724 |
154 | 121.345 | 123.852 | -2.50659 |
155 | 119.1 | 126.127 | -7.02679 |
156 | 117.87 | 141.112 | -23.2416 |
157 | 122.336 | 133.9 | -11.5638 |
158 | 117.963 | 94.2705 | 23.6925 |
159 | 126.144 | 125.38 | 0.764113 |
160 | 127.93 | 128.829 | -0.898913 |
161 | 114.238 | 117.656 | -3.41823 |
162 | 115.322 | 132.047 | -16.7253 |
163 | 114.554 | 110.489 | 4.06532 |
164 | 112.15 | 122.365 | -10.2153 |
165 | 102.273 | 85.3615 | 16.9115 |
166 | 236.2 | 188.122 | 48.0782 |
167 | 237.323 | 197.191 | 40.1321 |
168 | 260.105 | 201.842 | 58.2634 |
169 | 197.569 | 203.544 | -5.97516 |
170 | 240.301 | 206.753 | 33.5484 |
171 | 244.99 | 197.216 | 47.7736 |
172 | 112.547 | 146.661 | -34.1136 |
173 | 110.739 | 144.614 | -33.8753 |
174 | 113.715 | 144.053 | -30.3378 |
175 | 117.004 | 144.916 | -27.9119 |
176 | 115.38 | 141.268 | -25.8878 |
177 | 116.388 | 142.777 | -26.3889 |
178 | 151.737 | 168.232 | -16.4949 |
179 | 148.79 | 164.228 | -15.4384 |
180 | 148.143 | 153.152 | -5.00889 |
181 | 150.44 | 149.295 | 1.14522 |
182 | 148.462 | 152.618 | -4.15571 |
183 | 149.818 | 167.439 | -17.6215 |
184 | 117.226 | 125.016 | -7.78987 |
185 | 116.848 | 125.135 | -8.28743 |
186 | 116.286 | 137.764 | -21.4782 |
187 | 116.556 | 169.219 | -52.6631 |
188 | 116.342 | 181.352 | -65.0102 |
189 | 114.563 | 140.784 | -26.2214 |
190 | 201.774 | 210.507 | -8.73339 |
191 | 174.188 | 161.248 | 12.9401 |
192 | 209.516 | 187.047 | 22.4689 |
193 | 174.688 | 205.473 | -30.7854 |
194 | 198.764 | 202.032 | -3.26816 |
195 | 214.289 | 190.044 | 24.2449 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.00774262 | 0.0154852 | 0.992257 |
10 | 0.00113301 | 0.00226601 | 0.998867 |
11 | 0.000155457 | 0.000310914 | 0.999845 |
12 | 2.224e-05 | 4.44801e-05 | 0.999978 |
13 | 3.14729e-06 | 6.29459e-06 | 0.999997 |
14 | 3.73628e-07 | 7.47256e-07 | 1 |
15 | 1.01161e-05 | 2.02323e-05 | 0.99999 |
16 | 2.38333e-06 | 4.76665e-06 | 0.999998 |
17 | 6.02102e-06 | 1.2042e-05 | 0.999994 |
18 | 3.72724e-06 | 7.45449e-06 | 0.999996 |
19 | 9.4808e-07 | 1.89616e-06 | 0.999999 |
20 | 2.34833e-07 | 4.69666e-07 | 1 |
21 | 2.70409e-07 | 5.40817e-07 | 1 |
22 | 6.81152e-08 | 1.3623e-07 | 1 |
23 | 2.73307e-07 | 5.46614e-07 | 1 |
24 | 6.95309e-07 | 1.39062e-06 | 0.999999 |
25 | 2.41779e-06 | 4.83557e-06 | 0.999998 |
26 | 2.22297e-06 | 4.44594e-06 | 0.999998 |
27 | 4.89658e-06 | 9.79317e-06 | 0.999995 |
28 | 3.66762e-06 | 7.33524e-06 | 0.999996 |
29 | 1.46489e-06 | 2.92977e-06 | 0.999999 |
30 | 6.12101e-07 | 1.2242e-06 | 0.999999 |
31 | 2.25369e-06 | 4.50737e-06 | 0.999998 |
32 | 1.16591e-05 | 2.33182e-05 | 0.999988 |
33 | 2.84362e-05 | 5.68723e-05 | 0.999972 |
34 | 9.02657e-05 | 0.000180531 | 0.99991 |
35 | 0.000178169 | 0.000356339 | 0.999822 |
36 | 0.000225763 | 0.000451526 | 0.999774 |
37 | 0.000134714 | 0.000269428 | 0.999865 |
38 | 7.18164e-05 | 0.000143633 | 0.999928 |
39 | 5.68842e-05 | 0.000113768 | 0.999943 |
40 | 5.0848e-05 | 0.000101696 | 0.999949 |
41 | 4.65646e-05 | 9.31291e-05 | 0.999953 |
42 | 2.62102e-05 | 5.24204e-05 | 0.999974 |
43 | 7.56487e-05 | 0.000151297 | 0.999924 |
44 | 0.00027102 | 0.00054204 | 0.999729 |
45 | 0.00139027 | 0.00278054 | 0.99861 |
46 | 0.00372736 | 0.00745473 | 0.996273 |
47 | 0.00902504 | 0.0180501 | 0.990975 |
48 | 0.027541 | 0.055082 | 0.972459 |
49 | 0.0312659 | 0.0625317 | 0.968734 |
50 | 0.0284138 | 0.0568276 | 0.971586 |
51 | 0.02541 | 0.05082 | 0.97459 |
52 | 0.0305436 | 0.0610872 | 0.969456 |
53 | 0.0275705 | 0.055141 | 0.972429 |
54 | 0.0297692 | 0.0595384 | 0.970231 |
55 | 0.0238123 | 0.0476246 | 0.976188 |
56 | 0.0268965 | 0.0537931 | 0.973103 |
57 | 0.0215144 | 0.0430289 | 0.978486 |
58 | 0.0166463 | 0.0332926 | 0.983354 |
59 | 0.0143963 | 0.0287927 | 0.985604 |
60 | 0.0122325 | 0.0244649 | 0.987768 |
61 | 0.00956753 | 0.0191351 | 0.990432 |
62 | 0.0102513 | 0.0205026 | 0.989749 |
63 | 0.0110746 | 0.0221492 | 0.988925 |
64 | 0.0127001 | 0.0254003 | 0.9873 |
65 | 0.0203388 | 0.0406775 | 0.979661 |
66 | 0.0315546 | 0.0631091 | 0.968445 |
67 | 0.0275939 | 0.0551878 | 0.972406 |
68 | 0.0329368 | 0.0658735 | 0.967063 |
69 | 0.0824349 | 0.16487 | 0.917565 |
70 | 0.0728285 | 0.145657 | 0.927171 |
71 | 0.0612494 | 0.122499 | 0.938751 |
72 | 0.0521917 | 0.104383 | 0.947808 |
73 | 0.0668574 | 0.133715 | 0.933143 |
74 | 0.350669 | 0.701338 | 0.649331 |
75 | 0.380874 | 0.761747 | 0.619126 |
76 | 0.340415 | 0.68083 | 0.659585 |
77 | 0.355834 | 0.711668 | 0.644166 |
78 | 0.359484 | 0.718967 | 0.640516 |
79 | 0.325755 | 0.651511 | 0.674245 |
80 | 0.462315 | 0.924631 | 0.537685 |
81 | 0.448782 | 0.897564 | 0.551218 |
82 | 0.425279 | 0.850557 | 0.574721 |
83 | 0.386214 | 0.772428 | 0.613786 |
84 | 0.403377 | 0.806755 | 0.596623 |
85 | 0.379827 | 0.759655 | 0.620173 |
86 | 0.347473 | 0.694947 | 0.652527 |
87 | 0.326804 | 0.653608 | 0.673196 |
88 | 0.296928 | 0.593855 | 0.703072 |
89 | 0.296385 | 0.59277 | 0.703615 |
90 | 0.270828 | 0.541656 | 0.729172 |
91 | 0.256115 | 0.51223 | 0.743885 |
92 | 0.235093 | 0.470185 | 0.764907 |
93 | 0.211828 | 0.423656 | 0.788172 |
94 | 0.197895 | 0.395789 | 0.802105 |
95 | 0.180794 | 0.361589 | 0.819206 |
96 | 0.167633 | 0.335266 | 0.832367 |
97 | 0.146035 | 0.292069 | 0.853965 |
98 | 0.151517 | 0.303034 | 0.848483 |
99 | 0.185762 | 0.371523 | 0.814238 |
100 | 0.24619 | 0.49238 | 0.75381 |
101 | 0.431836 | 0.863672 | 0.568164 |
102 | 0.488475 | 0.97695 | 0.511525 |
103 | 0.760186 | 0.479628 | 0.239814 |
104 | 0.727036 | 0.545929 | 0.272964 |
105 | 0.71705 | 0.565901 | 0.28295 |
106 | 0.683028 | 0.633945 | 0.316972 |
107 | 0.660944 | 0.678112 | 0.339056 |
108 | 0.623634 | 0.752732 | 0.376366 |
109 | 0.611701 | 0.776599 | 0.388299 |
110 | 0.581993 | 0.836015 | 0.418007 |
111 | 0.54376 | 0.912481 | 0.45624 |
112 | 0.513476 | 0.973049 | 0.486524 |
113 | 0.493461 | 0.986923 | 0.506539 |
114 | 0.505975 | 0.988049 | 0.494025 |
115 | 0.465289 | 0.930578 | 0.534711 |
116 | 0.483735 | 0.967471 | 0.516265 |
117 | 0.500415 | 0.99917 | 0.499585 |
118 | 0.529182 | 0.941637 | 0.470818 |
119 | 0.487422 | 0.974845 | 0.512578 |
120 | 0.473951 | 0.947902 | 0.526049 |
121 | 0.443569 | 0.887137 | 0.556431 |
122 | 0.404104 | 0.808208 | 0.595896 |
123 | 0.371948 | 0.743896 | 0.628052 |
124 | 0.338554 | 0.677108 | 0.661446 |
125 | 0.349463 | 0.698927 | 0.650537 |
126 | 0.325591 | 0.651182 | 0.674409 |
127 | 0.294866 | 0.589733 | 0.705134 |
128 | 0.260083 | 0.520166 | 0.739917 |
129 | 0.237206 | 0.474412 | 0.762794 |
130 | 0.302181 | 0.604362 | 0.697819 |
131 | 0.296198 | 0.592396 | 0.703802 |
132 | 0.349759 | 0.699518 | 0.650241 |
133 | 0.355333 | 0.710665 | 0.644667 |
134 | 0.346485 | 0.692971 | 0.653515 |
135 | 0.345321 | 0.690642 | 0.654679 |
136 | 0.326218 | 0.652437 | 0.673782 |
137 | 0.286848 | 0.573695 | 0.713152 |
138 | 0.263864 | 0.527727 | 0.736136 |
139 | 0.233012 | 0.466023 | 0.766988 |
140 | 0.242031 | 0.484063 | 0.757969 |
141 | 0.261837 | 0.523673 | 0.738163 |
142 | 0.241329 | 0.482658 | 0.758671 |
143 | 0.226257 | 0.452514 | 0.773743 |
144 | 0.22212 | 0.444239 | 0.77788 |
145 | 0.196545 | 0.393091 | 0.803455 |
146 | 0.307637 | 0.615274 | 0.692363 |
147 | 0.293507 | 0.587014 | 0.706493 |
148 | 0.274517 | 0.549033 | 0.725483 |
149 | 0.272629 | 0.545259 | 0.727371 |
150 | 0.293792 | 0.587585 | 0.706208 |
151 | 0.274155 | 0.54831 | 0.725845 |
152 | 0.268434 | 0.536869 | 0.731566 |
153 | 0.338608 | 0.677216 | 0.661392 |
154 | 0.295578 | 0.591155 | 0.704422 |
155 | 0.25238 | 0.504761 | 0.74762 |
156 | 0.259065 | 0.518131 | 0.740935 |
157 | 0.22013 | 0.440261 | 0.77987 |
158 | 0.271487 | 0.542975 | 0.728513 |
159 | 0.258418 | 0.516836 | 0.741582 |
160 | 0.215269 | 0.430538 | 0.784731 |
161 | 0.195161 | 0.390321 | 0.804839 |
162 | 0.199336 | 0.398672 | 0.800664 |
163 | 0.161317 | 0.322634 | 0.838683 |
164 | 0.142733 | 0.285467 | 0.857267 |
165 | 0.716524 | 0.566951 | 0.283476 |
166 | 0.737749 | 0.524502 | 0.262251 |
167 | 0.78697 | 0.426059 | 0.21303 |
168 | 0.906128 | 0.187744 | 0.0938722 |
169 | 0.918615 | 0.162771 | 0.0813855 |
170 | 0.911464 | 0.177072 | 0.0885362 |
171 | 0.996477 | 0.00704657 | 0.00352329 |
172 | 0.994199 | 0.011602 | 0.00580098 |
173 | 0.99231 | 0.0153791 | 0.00768954 |
174 | 0.988035 | 0.0239294 | 0.0119647 |
175 | 0.983444 | 0.0331116 | 0.0165558 |
176 | 0.972636 | 0.0547272 | 0.0273636 |
177 | 0.963278 | 0.0734443 | 0.0367221 |
178 | 0.940167 | 0.119666 | 0.0598331 |
179 | 0.907448 | 0.185105 | 0.0925523 |
180 | 0.865345 | 0.26931 | 0.134655 |
181 | 0.795062 | 0.409875 | 0.204938 |
182 | 0.707948 | 0.584104 | 0.292052 |
183 | 0.661206 | 0.677587 | 0.338794 |
184 | 0.540726 | 0.918549 | 0.459274 |
185 | 0.404207 | 0.808415 | 0.595793 |
186 | 0.276792 | 0.553585 | 0.723208 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 38 | 0.213483 | NOK |
5% type I error level | 54 | 0.303371 | NOK |
10% type I error level | 67 | 0.376404 | NOK |