| Multiple Linear Regression - Estimated Regression Equation |
| Monthly_Births[t] = + 9319.51386590005 + 45.2520254377559Month[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) | 9319.51386590005 | 114.52106 | 81.3782 | 0 | 0 |
| Month | 45.2520254377559 | 15.852785 | 2.8545 | 0.005607 | 0.002803 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.31687854602927 |
| R-squared | 0.100412012933624 |
| Adjusted R-squared | 0.088088889823126 |
| F-TEST (value) | 8.14826014746875 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 73 |
| p-value | 0.00560692242405625 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 480.399559982623 |
| Sum Squared Residuals | 16847212.8178993 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9700 | 9364.76589133781 | 335.234108662186 |
| 2 | 9081 | 9410.01791677556 | -329.017916775561 |
| 3 | 9084 | 9455.26994221332 | -371.269942213317 |
| 4 | 9743 | 9500.52196765107 | 242.478032348927 |
| 5 | 8587 | 9545.77399308883 | -958.773993088829 |
| 6 | 9731 | 9591.02601852659 | 139.973981473415 |
| 7 | 9563 | 9636.27804396434 | -73.2780439643406 |
| 8 | 9998 | 9681.5300694021 | 316.469930597903 |
| 9 | 9437 | 9726.78209483985 | -289.782094839853 |
| 10 | 10038 | 9772.03412027761 | 265.965879722392 |
| 11 | 9918 | 9817.28614571536 | 100.713854284636 |
| 12 | 9252 | 9862.53817115312 | -610.53817115312 |
| 13 | 9737 | 9364.76589133781 | 372.234108662195 |
| 14 | 9035 | 9410.01791677556 | -375.017916775561 |
| 15 | 9133 | 9455.26994221332 | -322.269942213317 |
| 16 | 9487 | 9500.52196765107 | -13.5219676510728 |
| 17 | 8700 | 9545.77399308883 | -845.773993088829 |
| 18 | 9627 | 9591.02601852659 | 35.9739814734153 |
| 19 | 8947 | 9636.27804396434 | -689.278043964341 |
| 20 | 9283 | 9681.5300694021 | -398.530069402097 |
| 21 | 8829 | 9726.78209483985 | -897.782094839852 |
| 22 | 9947 | 9772.03412027761 | 174.965879722392 |
| 23 | 9628 | 9817.28614571536 | -189.286145715364 |
| 24 | 9318 | 9862.53817115312 | -544.53817115312 |
| 25 | 9605 | 9364.76589133781 | 240.234108662195 |
| 26 | 8640 | 9410.01791677556 | -770.017916775561 |
| 27 | 9214 | 9455.26994221332 | -241.269942213317 |
| 28 | 9567 | 9500.52196765107 | 66.4780323489272 |
| 29 | 8547 | 9545.77399308883 | -998.773993088829 |
| 30 | 9185 | 9591.02601852659 | -406.026018526585 |
| 31 | 9470 | 9636.27804396434 | -166.278043964341 |
| 32 | 9123 | 9681.5300694021 | -558.530069402097 |
| 33 | 9278 | 9726.78209483985 | -448.782094839853 |
| 34 | 10170 | 9772.03412027761 | 397.965879722392 |
| 35 | 9434 | 9817.28614571536 | -383.286145715364 |
| 36 | 9655 | 9862.53817115312 | -207.53817115312 |
| 37 | 9429 | 9364.76589133781 | 64.2341086621951 |
| 38 | 8739 | 9410.01791677556 | -671.017916775561 |
| 39 | 9552 | 9455.26994221332 | 96.7300577866832 |
| 40 | 9687 | 9500.52196765107 | 186.478032348927 |
| 41 | 9019 | 9545.77399308883 | -526.773993088829 |
| 42 | 9672 | 9591.02601852659 | 80.9739814734153 |
| 43 | 9206 | 9636.27804396434 | -430.278043964341 |
| 44 | 9069 | 9681.5300694021 | -612.530069402097 |
| 45 | 9788 | 9726.78209483985 | 61.2179051601475 |
| 46 | 10312 | 9772.03412027761 | 539.965879722392 |
| 47 | 10105 | 9817.28614571536 | 287.713854284636 |
| 48 | 9863 | 9862.53817115312 | 0.461828846879613 |
| 49 | 9656 | 9364.76589133781 | 291.234108662195 |
| 50 | 9295 | 9410.01791677556 | -115.017916775561 |
| 51 | 9946 | 9455.26994221332 | 490.730057786683 |
| 52 | 9701 | 9500.52196765107 | 200.478032348927 |
| 53 | 9049 | 9545.77399308883 | -496.773993088829 |
| 54 | 10190 | 9591.02601852659 | 598.973981473415 |
| 55 | 9706 | 9636.27804396434 | 69.7219560356594 |
| 56 | 9765 | 9681.5300694021 | 83.4699305979034 |
| 57 | 9893 | 9726.78209483985 | 166.217905160147 |
| 58 | 9994 | 9772.03412027761 | 221.965879722392 |
| 59 | 10433 | 9817.28614571536 | 615.713854284636 |
| 60 | 10073 | 9862.53817115312 | 210.46182884688 |
| 61 | 10112 | 9364.76589133781 | 747.234108662195 |
| 62 | 9266 | 9410.01791677556 | -144.017916775561 |
| 63 | 9820 | 9455.26994221332 | 364.730057786683 |
| 64 | 10097 | 9500.52196765107 | 596.478032348927 |
| 65 | 9115 | 9545.77399308883 | -430.773993088829 |
| 66 | 10411 | 9591.02601852659 | 819.973981473415 |
| 67 | 9678 | 9636.27804396434 | 41.7219560356594 |
| 68 | 10408 | 9681.5300694021 | 726.469930597903 |
| 69 | 10153 | 9726.78209483985 | 426.217905160147 |
| 70 | 10368 | 9772.03412027761 | 595.965879722391 |
| 71 | 10581 | 9817.28614571536 | 763.713854284636 |
| 72 | 10597 | 9862.53817115312 | 734.46182884688 |
| 73 | 10680 | 9364.76589133781 | 1315.2341086622 |
| 74 | 9738 | 9410.01791677556 | 327.982083224439 |
| 75 | 9556 | 9455.26994221332 | 100.730057786683 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.610002655248998 | 0.779994689502004 | 0.389997344751002 |
| 6 | 0.693312952825156 | 0.613374094349688 | 0.306687047174844 |
| 7 | 0.582853400437075 | 0.834293199125849 | 0.417146599562925 |
| 8 | 0.552577762752825 | 0.894844474494351 | 0.447422237247175 |
| 9 | 0.45692192883919 | 0.91384385767838 | 0.54307807116081 |
| 10 | 0.389329475174441 | 0.778658950348882 | 0.610670524825559 |
| 11 | 0.289718905989435 | 0.57943781197887 | 0.710281094010565 |
| 12 | 0.343140210222382 | 0.686280420444763 | 0.656859789777618 |
| 13 | 0.316629837344497 | 0.633259674688994 | 0.683370162655503 |
| 14 | 0.28111690808943 | 0.562233816178859 | 0.71888309191057 |
| 15 | 0.230076103181553 | 0.460152206363107 | 0.769923896818447 |
| 16 | 0.168213837603152 | 0.336427675206304 | 0.831786162396848 |
| 17 | 0.278309704235414 | 0.556619408470828 | 0.721690295764586 |
| 18 | 0.218888726465921 | 0.437777452931841 | 0.781111273534079 |
| 19 | 0.254223381849233 | 0.508446763698466 | 0.745776618150767 |
| 20 | 0.213898881380656 | 0.427797762761313 | 0.786101118619344 |
| 21 | 0.314428828422507 | 0.628857656845014 | 0.685571171577493 |
| 22 | 0.29502001910089 | 0.59004003820178 | 0.70497998089911 |
| 23 | 0.2387437058396 | 0.477487411679199 | 0.7612562941604 |
| 24 | 0.22681757404297 | 0.45363514808594 | 0.77318242595703 |
| 25 | 0.19667542390942 | 0.39335084781884 | 0.80332457609058 |
| 26 | 0.277011243613778 | 0.554022487227555 | 0.722988756386223 |
| 27 | 0.229708615969901 | 0.459417231939803 | 0.770291384030099 |
| 28 | 0.188859730277425 | 0.377719460554849 | 0.811140269722575 |
| 29 | 0.373425872672671 | 0.746851745345341 | 0.626574127327329 |
| 30 | 0.350273179308231 | 0.700546358616461 | 0.649726820691769 |
| 31 | 0.301160302045464 | 0.602320604090928 | 0.698839697954536 |
| 32 | 0.320325615989314 | 0.640651231978628 | 0.679674384010686 |
| 33 | 0.316664041741603 | 0.633328083483206 | 0.683335958258397 |
| 34 | 0.351228635216252 | 0.702457270432504 | 0.648771364783748 |
| 35 | 0.342325138026368 | 0.684650276052736 | 0.657674861973632 |
| 36 | 0.315383765674242 | 0.630767531348484 | 0.684616234325758 |
| 37 | 0.26785910250417 | 0.53571820500834 | 0.73214089749583 |
| 38 | 0.362251427436051 | 0.724502854872103 | 0.637748572563948 |
| 39 | 0.319448605633066 | 0.638897211266131 | 0.680551394366934 |
| 40 | 0.285902397031834 | 0.571804794063669 | 0.714097602968166 |
| 41 | 0.346659604114423 | 0.693319208228845 | 0.653340395885577 |
| 42 | 0.307289627983503 | 0.614579255967007 | 0.692710372016497 |
| 43 | 0.35061805623762 | 0.701236112475239 | 0.64938194376238 |
| 44 | 0.508473995379023 | 0.983052009241953 | 0.491526004620977 |
| 45 | 0.478636416279506 | 0.957272832559012 | 0.521363583720494 |
| 46 | 0.52009802529806 | 0.95980394940388 | 0.47990197470194 |
| 47 | 0.490008638433035 | 0.980017276866069 | 0.509991361566965 |
| 48 | 0.464191680857444 | 0.928383361714887 | 0.535808319142556 |
| 49 | 0.426599985907948 | 0.853199971815896 | 0.573400014092052 |
| 50 | 0.407646569035679 | 0.815293138071358 | 0.592353430964321 |
| 51 | 0.399717138967268 | 0.799434277934535 | 0.600282861032732 |
| 52 | 0.351137417145826 | 0.702274834291652 | 0.648862582854174 |
| 53 | 0.520703117542282 | 0.958593764915436 | 0.479296882457718 |
| 54 | 0.525911533041098 | 0.948176933917805 | 0.474088466958902 |
| 55 | 0.491764562166661 | 0.983529124333321 | 0.508235437833339 |
| 56 | 0.459234582645025 | 0.91846916529005 | 0.540765417354975 |
| 57 | 0.418465666037112 | 0.836931332074223 | 0.581534333962888 |
| 58 | 0.375764459862721 | 0.751528919725443 | 0.624235540137279 |
| 59 | 0.354408964489839 | 0.708817928979677 | 0.645591035510161 |
| 60 | 0.315676812468857 | 0.631353624937715 | 0.684323187531143 |
| 61 | 0.344339477628947 | 0.688678955257895 | 0.655660522371053 |
| 62 | 0.359201619903734 | 0.718403239807468 | 0.640798380096266 |
| 63 | 0.291504462125762 | 0.583008924251524 | 0.708495537874238 |
| 64 | 0.244054140965856 | 0.488108281931711 | 0.755945859034144 |
| 65 | 0.544736649951093 | 0.910526700097813 | 0.455263350048907 |
| 66 | 0.511464192469549 | 0.977071615060901 | 0.488535807530451 |
| 67 | 0.570863906123724 | 0.858272187752552 | 0.429136093876276 |
| 68 | 0.474484568136984 | 0.948969136273968 | 0.525515431863016 |
| 69 | 0.367216640359674 | 0.734433280719347 | 0.632783359640326 |
| 70 | 0.242638160052421 | 0.485276320104842 | 0.757361839947579 |
| 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 | 0 | 0 | OK |
| 10% type I error level | 0 | 0 | OK |
