Multiple Linear Regression - Estimated Regression Equation |
time_in_rfc[t] = + 182305.466471313 -52038.9971877435pop[t] + 19860.1896066886gender[t] -431.780707581716total_tests[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) | 182305.466471313 | 16950.710316 | 10.755 | 0 | 0 |
pop | -52038.9971877435 | 21029.859971 | -2.4745 | 0.016046 | 0.008023 |
gender | 19860.1896066886 | 19758.557308 | 1.0051 | 0.318673 | 0.159336 |
total_tests | -431.780707581716 | 4271.812667 | -0.1011 | 0.919811 | 0.459905 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.342263765508832 |
R-squared | 0.117144485180285 |
Adjusted R-squared | 0.0751037463793461 |
F-TEST (value) | 2.78645163052342 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 63 |
p-value | 0.0478949345065762 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 78260.0890636076 |
Sum Squared Residuals | 385852417035.359 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 210907 | 181441.90505615 | 29465.09494385 |
2 | 149061 | 182305.466471313 | -33244.4664713133 |
3 | 237213 | 202165.656078002 | 35047.3439219981 |
4 | 133131 | 200438.533247675 | -67307.533247675 |
5 | 324799 | 202165.656078002 | 122633.343921998 |
6 | 230964 | 182737.247178895 | 48226.752821105 |
7 | 236785 | 202165.656078002 | 34619.3439219981 |
8 | 344297 | 201733.87537042 | 142563.12462958 |
9 | 174724 | 202165.656078002 | -27441.6560780019 |
10 | 174415 | 200870.313955257 | -26455.3139552567 |
11 | 223632 | 202597.436785584 | 21034.5632144164 |
12 | 294424 | 180578.343640986 | 113845.656359014 |
13 | 325107 | 200870.313955257 | 124236.686044743 |
14 | 106408 | 181873.685763732 | -75465.6857637316 |
15 | 96560 | 182305.466471313 | -85745.4664713133 |
16 | 265769 | 203029.217493165 | 62739.7825068347 |
17 | 149112 | 184032.58930164 | -34920.5893016401 |
18 | 152871 | 181441.90505615 | -28570.9050561498 |
19 | 362301 | 201302.094662838 | 160998.905337162 |
20 | 183167 | 184032.58930164 | -865.589301640132 |
21 | 218946 | 201302.094662838 | 17643.9053371616 |
22 | 244052 | 201302.094662838 | 42749.9053371616 |
23 | 341570 | 202165.656078002 | 139404.343921998 |
24 | 196553 | 203460.998200747 | -6907.998200747 |
25 | 143246 | 181441.90505615 | -38195.9050561498 |
26 | 143756 | 180578.343640986 | -36822.3436409864 |
27 | 152299 | 201302.094662838 | -49003.0946628384 |
28 | 193339 | 201302.094662838 | -7963.09466283842 |
29 | 130585 | 184032.58930164 | -53447.5893016401 |
30 | 112611 | 200870.313955257 | -88259.3139552567 |
31 | 148446 | 200870.313955257 | -52424.3139552567 |
32 | 182079 | 181441.90505615 | 637.094943850168 |
33 | 243060 | 202597.436785584 | 40462.5632144164 |
34 | 162765 | 203460.998200747 | -40695.998200747 |
35 | 85574 | 202165.656078002 | -116591.656078002 |
36 | 225060 | 181873.685763732 | 43186.3142362685 |
37 | 133328 | 203460.998200747 | -70132.998200747 |
38 | 100750 | 200870.313955257 | -100120.313955257 |
39 | 101523 | 202165.656078002 | -100642.656078002 |
40 | 243511 | 202165.656078002 | 41345.3439219981 |
41 | 152474 | 202165.656078002 | -49691.6560780019 |
42 | 132487 | 200870.313955257 | -68383.3139552567 |
43 | 317394 | 183600.808594058 | 133793.191405942 |
44 | 244749 | 202165.656078002 | 42583.3439219981 |
45 | 128423 | 181441.90505615 | -53018.9050561498 |
46 | 97839 | 182737.247178895 | -84898.247178895 |
47 | 229242 | 149263.097475095 | 79978.902524905 |
48 | 324598 | 129402.907868406 | 195195.092131594 |
49 | 195838 | 131130.030698733 | 64707.9693012667 |
50 | 254488 | 130266.46928357 | 124221.53071643 |
51 | 92499 | 150990.220305422 | -58491.2203054219 |
52 | 224330 | 130266.46928357 | 94063.5307164302 |
53 | 181633 | 147535.974644768 | 34097.0253552319 |
54 | 271856 | 151422.001013004 | 120433.998986996 |
55 | 95227 | 148831.316767513 | -53604.3167675133 |
56 | 98146 | 130266.46928357 | -32120.4692835698 |
57 | 118612 | 131130.030698733 | -12518.0306987332 |
58 | 65475 | 149694.878182677 | -84219.8781826767 |
59 | 108446 | 130266.46928357 | -21820.4692835698 |
60 | 121848 | 129402.907868406 | -7554.90786840638 |
61 | 76302 | 149263.097475095 | -72961.097475095 |
62 | 98104 | 131561.811406315 | -33457.811406315 |
63 | 30989 | 150990.220305422 | -120001.220305422 |
64 | 31774 | 129834.688575988 | -98060.6885759881 |
65 | 150580 | 151853.781720585 | -1273.78172058526 |
66 | 59382 | 129834.688575988 | -70452.6885759881 |
67 | 84105 | 130266.46928357 | -46161.4692835698 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.404999250241163 | 0.809998500482326 | 0.595000749758837 |
8 | 0.532604933036616 | 0.934790133926768 | 0.467395066963384 |
9 | 0.568804679865878 | 0.862390640268244 | 0.431195320134122 |
10 | 0.443859527321032 | 0.887719054642063 | 0.556140472678968 |
11 | 0.364486380120997 | 0.728972760241995 | 0.635513619879003 |
12 | 0.51390033915001 | 0.97219932169998 | 0.48609966084999 |
13 | 0.579911595127992 | 0.840176809744016 | 0.420088404872008 |
14 | 0.623909307657811 | 0.752181384684378 | 0.376090692342189 |
15 | 0.64080474671296 | 0.718390506574079 | 0.359195253287039 |
16 | 0.576585459278248 | 0.846829081443503 | 0.423414540721752 |
17 | 0.493452080266845 | 0.98690416053369 | 0.506547919733155 |
18 | 0.413759038278272 | 0.827518076556543 | 0.586240961721728 |
19 | 0.57628795727246 | 0.84742408545508 | 0.42371204272754 |
20 | 0.497152218361486 | 0.994304436722972 | 0.502847781638514 |
21 | 0.437029087861671 | 0.874058175723341 | 0.562970912138329 |
22 | 0.380609242613572 | 0.761218485227144 | 0.619390757386428 |
23 | 0.514896099645551 | 0.970207800708897 | 0.485103900354449 |
24 | 0.464805757387286 | 0.929611514774572 | 0.535194242612714 |
25 | 0.402188923079679 | 0.804377846159358 | 0.597811076920321 |
26 | 0.341217232887859 | 0.682434465775718 | 0.658782767112141 |
27 | 0.356093550096167 | 0.712187100192333 | 0.643906449903833 |
28 | 0.315399748733254 | 0.630799497466507 | 0.684600251266746 |
29 | 0.273162907393093 | 0.546325814786185 | 0.726837092606907 |
30 | 0.334949270662261 | 0.669898541324523 | 0.665050729337738 |
31 | 0.316142882576648 | 0.632285765153296 | 0.683857117423352 |
32 | 0.254745917597554 | 0.509491835195108 | 0.745254082402446 |
33 | 0.223867643460398 | 0.447735286920795 | 0.776132356539602 |
34 | 0.196963030399282 | 0.393926060798564 | 0.803036969600718 |
35 | 0.26699363926268 | 0.533987278525361 | 0.73300636073732 |
36 | 0.234269126325135 | 0.468538252650269 | 0.765730873674865 |
37 | 0.216229940402995 | 0.432459880805989 | 0.783770059597005 |
38 | 0.239343146609943 | 0.478686293219887 | 0.760656853390057 |
39 | 0.261397592559747 | 0.522795185119495 | 0.738602407440253 |
40 | 0.225422420768138 | 0.450844841536276 | 0.774577579231862 |
41 | 0.186002079114441 | 0.372004158228881 | 0.81399792088556 |
42 | 0.16558145371124 | 0.33116290742248 | 0.83441854628876 |
43 | 0.269502141618024 | 0.539004283236048 | 0.730497858381976 |
44 | 0.283028739787708 | 0.566057479575417 | 0.716971260212292 |
45 | 0.228970498503148 | 0.457940997006295 | 0.771029501496852 |
46 | 0.190583610509333 | 0.381167221018665 | 0.809416389490667 |
47 | 0.18830692705733 | 0.37661385411466 | 0.81169307294267 |
48 | 0.437537694801602 | 0.875075389603204 | 0.562462305198398 |
49 | 0.411293423880064 | 0.822586847760127 | 0.588706576119936 |
50 | 0.567580458140141 | 0.864839083719717 | 0.432419541859859 |
51 | 0.573899817237543 | 0.852200365524915 | 0.426100182762457 |
52 | 0.708829669233593 | 0.582340661532815 | 0.291170330766407 |
53 | 0.79913109356829 | 0.401737812863419 | 0.20086890643171 |
54 | 0.983089774214442 | 0.0338204515711165 | 0.0169102257855582 |
55 | 0.977214457711005 | 0.0455710845779892 | 0.0227855422889946 |
56 | 0.95648134728818 | 0.0870373054236407 | 0.0435186527118204 |
57 | 0.92022616457387 | 0.15954767085226 | 0.0797738354261299 |
58 | 0.86149395198689 | 0.277012096026221 | 0.13850604801311 |
59 | 0.772616102180553 | 0.454767795638893 | 0.227383897819447 |
60 | 0.770699500575042 | 0.458600998849915 | 0.229300499424958 |
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 | 2 | 0.037037037037037 | OK |
10% type I error level | 3 | 0.0555555555555556 | OK |