| Multiple Linear Regression - Estimated Regression Equation |
| total_tests[t] = + 62776.3485749785 -0.231071550412348pop[t] -0.260125731010538time_in_rfc[t] -0.243048776130406gender[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) | 62776.3485749785 | 13200.327211 | 4.7557 | 8e-06 | 4e-06 |
| pop | -0.231071550412348 | 0.082707 | -2.7939 | 0.006498 | 0.003249 |
| time_in_rfc | -0.260125731010538 | 0.08235 | -3.1588 | 0.002227 | 0.001114 |
| gender | -0.243048776130406 | 0.070473 | -3.4488 | 0.000896 | 0.000448 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.393984762304645 |
| R-squared | 0.155223992928248 |
| Adjusted R-squared | 0.123935992666331 |
| F-TEST (value) | 4.96113499197275 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 81 |
| p-value | 0.00327192186626868 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 53386.7544899095 |
| Sum Squared Residuals | 230861789952.236 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 2 | 7914.01102473904 | -7912.01102473904 |
| 2 | 0 | 16129.3701693333 | -16129.3701693333 |
| 3 | 0 | 28332.5921989635 | -28332.5921989635 |
| 4 | 0 | 7962.91276128314 | -7962.91276128314 |
| 5 | 133131 | 22726.6815311319 | 110404.318468868 |
| 6 | 258873 | 62775.077000504 | 196097.922999496 |
| 7 | 1 | -16166.5751496028 | 16167.5751496028 |
| 8 | 0 | 6640.83104479548 | -6640.83104479548 |
| 9 | 1 | 5226.2751904908 | -5225.2751904908 |
| 10 | 1 | -20904.6159003918 | 20905.6159003918 |
| 11 | 1 | 20309.6631428191 | -20308.6631428191 |
| 12 | 1 | 20384.9962861938 | -20383.9962861938 |
| 13 | 1 | 8422.17145673238 | -8421.17145673238 |
| 14 | 0 | -8782.81321688965 | 8782.81321688965 |
| 15 | 1 | -16241.434172651 | 16242.434172651 |
| 16 | 0 | 36913.3211898431 | -36913.3211898431 |
| 17 | 0 | 39307.3276802761 | -39307.3276802761 |
| 18 | 1 | -1818.48160842329 | 1819.48160842329 |
| 19 | -3 | -2761.5348142607 | 2758.5348142607 |
| 20 | -4 | 23988.4805725352 | -23992.4805725352 |
| 21 | 2 | 23010.6679496666 | -23008.6679496666 |
| 22 | 2 | -31467.7069446465 | 31469.7069446465 |
| 23 | -4 | 15129.8988029713 | -15133.8988029713 |
| 24 | 0 | -9530.22939169407 | 9530.22939169407 |
| 25 | 0 | 12183.4106751132 | -12183.4106751132 |
| 26 | 0 | 6382.12833046083 | -6382.12833046083 |
| 27 | 0 | -16151.0210250983 | 16151.0210250983 |
| 28 | 206161 | 8859.58523171107 | 197301.414768289 |
| 29 | 0 | -12926.3207295865 | 12926.3207295865 |
| 30 | 0 | 8885.02622469156 | -8885.02622469156 |
| 31 | 0 | 17359.0111473776 | -17359.0111473776 |
| 32 | 0 | 29675.787167059 | -29675.787167059 |
| 33 | 194979 | 20676.4404107899 | 174302.55958921 |
| 34 | 0 | 22068.1330153483 | -22068.1330153483 |
| 35 | 4 | 25381.7139878276 | -25377.7139878276 |
| 36 | 0 | -8899.92766850065 | 8899.92766850065 |
| 37 | 0 | 27583.636295445 | -27583.636295445 |
| 38 | 0 | 18100.4598665222 | -18100.4598665222 |
| 39 | 0 | 32602.8423594865 | -32602.8423594865 |
| 40 | 0 | 36754.1609394342 | -36754.1609394342 |
| 41 | 0 | 28473.7119304077 | -28473.7119304077 |
| 42 | 0 | 20702.5856498963 | -20702.5856498963 |
| 43 | 0 | 6612.08045479827 | -6612.08045479827 |
| 44 | 0 | 25166.45669271 | -25166.45669271 |
| 45 | 0 | 43002.3715942612 | -43002.3715942612 |
| 46 | 0 | 10771.1423903993 | -10771.1423903993 |
| 47 | 0 | 31968.5099221983 | -31968.5099221983 |
| 48 | 0 | 39494.900598875 | -39494.900598875 |
| 49 | 0 | 39317.0114367347 | -39317.0114367347 |
| 50 | 0 | 6507.62413678617 | -6507.62413678617 |
| 51 | 0 | 27543.6848716751 | -27543.6848716751 |
| 52 | 0 | 32161.3828034383 | -32161.3828034383 |
| 53 | 0 | -10563.64595027 | 10563.64595027 |
| 54 | 0 | 6221.55755737568 | -6221.55755737568 |
| 55 | 128423 | 20142.3773113202 | 108280.62268868 |
| 56 | 97839 | 62775.8283235165 | 35063.1716764835 |
| 57 | 172494 | 62776.3656519334 | 109717.634348067 |
| 58 | 1 | 7058.4076969098 | -7057.4076969098 |
| 59 | 5 | -22684.9413080504 | 22689.9413080504 |
| 60 | 2 | -21660.1745311305 | 21662.1745311305 |
| 61 | -2 | 11833.6145937864 | -11835.6145937864 |
| 62 | 0 | -3422.75952998168 | 3422.75952998168 |
| 63 | 1 | 10886.5480380416 | -10885.5480380416 |
| 64 | 1 | 41402.6872052079 | -41401.6872052079 |
| 65 | 1 | 10940.0676709764 | -10939.0676709764 |
| 66 | 1 | 20804.4112405447 | -20803.4112405447 |
| 67 | 1 | -41.3698133234467 | 42.3698133234467 |
| 68 | 1 | 40771.1087718024 | -40770.1087718024 |
| 69 | 1 | 40097.6001882082 | -40096.6001882082 |
| 70 | 1 | 35368.9759350213 | -35367.9759350213 |
| 71 | 1 | 47646.4356372229 | -47645.4356372229 |
| 72 | 1 | 37717.563218961 | -37716.563218961 |
| 73 | 1 | 34620.2562027824 | -34619.2562027824 |
| 74 | 1 | 45144.3809121322 | -45143.3809121322 |
| 75 | 1 | 40108.0343396539 | -40107.0343396539 |
| 76 | 1 | 55615.8982710715 | -55614.8982710715 |
| 77 | 1 | 55434.0380834004 | -55433.0380834004 |
| 78 | 1 | 27982.3065832606 | -27981.3065832606 |
| 79 | 59382 | 50261.9635705208 | 9120.03642947918 |
| 80 | 84105 | 62775.8454004713 | 21329.1545995287 |
| 81 | 210907 | 62776.3485749785 | 148130.651425021 |
| 82 | 179321 | 62775.8283235165 | 116545.171676483 |
| 83 | 0 | 26546.3306700024 | -26546.3306700024 |
| 84 | 1 | 5122.01924275657 | -5121.01924275657 |
| 85 | -4 | 20649.6764033998 | -20653.6764033998 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.86668446888216 | 0.266631062235679 | 0.13331553111784 |
| 8 | 0.850332864232842 | 0.299334271534315 | 0.149667135767158 |
| 9 | 0.7893088203428 | 0.421382359314402 | 0.210691179657201 |
| 10 | 0.75951750642684 | 0.480964987146321 | 0.24048249357316 |
| 11 | 0.8244944139135 | 0.351011172172999 | 0.175505586086499 |
| 12 | 0.836764333883894 | 0.326471332232212 | 0.163235666116106 |
| 13 | 0.78075745003102 | 0.43848509993796 | 0.21924254996898 |
| 14 | 0.712786232628627 | 0.574427534742745 | 0.287213767371373 |
| 15 | 0.660320606152332 | 0.679358787695336 | 0.339679393847668 |
| 16 | 0.765259995297303 | 0.469480009405393 | 0.234740004702697 |
| 17 | 0.805768431377638 | 0.388463137244725 | 0.194231568622362 |
| 18 | 0.742981753923436 | 0.514036492153127 | 0.257018246076564 |
| 19 | 0.672659990759792 | 0.654680018480417 | 0.327340009240208 |
| 20 | 0.611032879314607 | 0.777934241370786 | 0.388967120685393 |
| 21 | 0.541769559908005 | 0.91646088018399 | 0.458230440091995 |
| 22 | 0.575946535494541 | 0.848106929010918 | 0.424053464505459 |
| 23 | 0.509200454404002 | 0.981599091191996 | 0.490799545595998 |
| 24 | 0.439206867322562 | 0.878413734645123 | 0.560793132677438 |
| 25 | 0.383219241771726 | 0.766438483543453 | 0.616780758228274 |
| 26 | 0.318673812252033 | 0.637347624504067 | 0.681326187747967 |
| 27 | 0.261318861430628 | 0.522637722861256 | 0.738681138569372 |
| 28 | 0.884602871354167 | 0.230794257291665 | 0.115397128645833 |
| 29 | 0.851355358558107 | 0.297289282883785 | 0.148644641441893 |
| 30 | 0.81016561503521 | 0.379668769929579 | 0.189834384964789 |
| 31 | 0.786935749780581 | 0.426128500438838 | 0.213064250219419 |
| 32 | 0.770743720504352 | 0.458512558991295 | 0.229256279495648 |
| 33 | 0.985181788059983 | 0.0296364238800338 | 0.0148182119400169 |
| 34 | 0.979859695403322 | 0.040280609193357 | 0.0201403045966785 |
| 35 | 0.9738455900499 | 0.0523088199001995 | 0.0261544099500998 |
| 36 | 0.96275376088441 | 0.0744924782311814 | 0.0372462391155907 |
| 37 | 0.956915520735532 | 0.0861689585289359 | 0.0430844792644679 |
| 38 | 0.946712411685693 | 0.106575176628615 | 0.0532875883143075 |
| 39 | 0.938269556836717 | 0.123460886326565 | 0.0617304431632826 |
| 40 | 0.92965502585252 | 0.14068994829496 | 0.0703449741474802 |
| 41 | 0.914541045086905 | 0.170917909826191 | 0.0854589549130954 |
| 42 | 0.893118632864315 | 0.213762734271369 | 0.106881367135685 |
| 43 | 0.865960248460607 | 0.268079503078786 | 0.134039751539393 |
| 44 | 0.836970170642214 | 0.326059658715573 | 0.163029829357786 |
| 45 | 0.821052119818294 | 0.357895760363412 | 0.178947880181706 |
| 46 | 0.780478153938495 | 0.439043692123009 | 0.219521846061505 |
| 47 | 0.744799844094577 | 0.510400311810845 | 0.255200155905422 |
| 48 | 0.715947328158175 | 0.56810534368365 | 0.284052671841825 |
| 49 | 0.68503561377968 | 0.629928772440641 | 0.314964386220321 |
| 50 | 0.629610348021298 | 0.740779303957404 | 0.370389651978702 |
| 51 | 0.577230208760772 | 0.845539582478457 | 0.422769791239228 |
| 52 | 0.529011728280156 | 0.941976543439689 | 0.470988271719844 |
| 53 | 0.489872307756832 | 0.979744615513664 | 0.510127692243168 |
| 54 | 0.432859767772184 | 0.865719535544369 | 0.567140232227816 |
| 55 | 0.737671633343855 | 0.52465673331229 | 0.262328366656145 |
| 56 | 0.696299492998303 | 0.607401014003394 | 0.303700507001697 |
| 57 | 0.843816575056939 | 0.312366849886123 | 0.156183424943061 |
| 58 | 0.797171550856405 | 0.405656898287191 | 0.202828449143595 |
| 59 | 0.769105884552203 | 0.461788230895594 | 0.230894115447797 |
| 60 | 0.723907663136419 | 0.552184673727163 | 0.276092336863581 |
| 61 | 0.660436143000984 | 0.679127713998032 | 0.339563856999016 |
| 62 | 0.591533353008635 | 0.81693329398273 | 0.408466646991365 |
| 63 | 0.545470966984498 | 0.909058066031004 | 0.454529033015502 |
| 64 | 0.509008215641804 | 0.981983568716393 | 0.490991784358197 |
| 65 | 0.478681827424969 | 0.957363654849938 | 0.521318172575031 |
| 66 | 0.405182128055942 | 0.810364256111884 | 0.594817871944058 |
| 67 | 0.565499552524143 | 0.869000894951714 | 0.434500447475857 |
| 68 | 0.493011138031472 | 0.986022276062944 | 0.506988861968528 |
| 69 | 0.4139853626223 | 0.8279707252446 | 0.5860146373777 |
| 70 | 0.338891706578966 | 0.677783413157932 | 0.661108293421034 |
| 71 | 0.311151960602564 | 0.622303921205128 | 0.688848039397436 |
| 72 | 0.235180986223415 | 0.470361972446831 | 0.764819013776585 |
| 73 | 0.175476704970211 | 0.350953409940423 | 0.824523295029789 |
| 74 | 0.139289665881748 | 0.278579331763497 | 0.860710334118252 |
| 75 | 0.0885265559003938 | 0.177053111800788 | 0.911473444099606 |
| 76 | 0.165238558403742 | 0.330477116807484 | 0.834761441596258 |
| 77 | 0.308200225880051 | 0.616400451760102 | 0.691799774119949 |
| 78 | 0.222649013760285 | 0.44529802752057 | 0.777350986239715 |
| 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 | 0.0277777777777778 | OK |
| 10% type I error level | 5 | 0.0694444444444444 | OK |
