| Multiple Linear Regression - Estimated Regression Equation |
| Birth[t] = + 9377.45 + 488.692857142858x[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) | 9377.45 | 69.906278 | 134.1432 | 0 | 0 |
| x | 488.692857142858 | 102.332313 | 4.7755 | 9e-06 | 4e-06 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.487895901742042 |
| R-squared | 0.238042410936680 |
| Adjusted R-squared | 0.227604635744032 |
| F-TEST (value) | 22.8058572390354 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 73 |
| p-value | 8.99535508724902e-06 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 442.126123853076 |
| Sum Squared Residuals | 14269712.1857142 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9700 | 9377.45000000006 | 322.54999999994 |
| 2 | 9081 | 9377.45 | -296.449999999997 |
| 3 | 9084 | 9377.45 | -293.449999999999 |
| 4 | 9743 | 9377.45 | 365.550000000001 |
| 5 | 8587 | 9377.45 | -790.449999999999 |
| 6 | 9731 | 9377.45 | 353.550000000001 |
| 7 | 9563 | 9377.45 | 185.550000000001 |
| 8 | 9998 | 9377.45 | 620.550000000001 |
| 9 | 9437 | 9377.45 | 59.5500000000015 |
| 10 | 10038 | 9377.45 | 660.550000000001 |
| 11 | 9918 | 9377.45 | 540.550000000001 |
| 12 | 9252 | 9377.45 | -125.449999999999 |
| 13 | 9737 | 9377.45 | 359.550000000001 |
| 14 | 9035 | 9377.45 | -342.449999999999 |
| 15 | 9133 | 9377.45 | -244.449999999999 |
| 16 | 9487 | 9377.45 | 109.550000000001 |
| 17 | 8700 | 9377.45 | -677.449999999999 |
| 18 | 9627 | 9377.45 | 249.550000000001 |
| 19 | 8947 | 9377.45 | -430.449999999999 |
| 20 | 9283 | 9377.45 | -94.4499999999985 |
| 21 | 8829 | 9377.45 | -548.449999999999 |
| 22 | 9947 | 9377.45 | 569.550000000001 |
| 23 | 9628 | 9377.45 | 250.550000000001 |
| 24 | 9318 | 9377.45 | -59.4499999999985 |
| 25 | 9605 | 9377.45 | 227.550000000001 |
| 26 | 8640 | 9377.45 | -737.449999999999 |
| 27 | 9214 | 9377.45 | -163.449999999999 |
| 28 | 9567 | 9377.45 | 189.550000000001 |
| 29 | 8547 | 9377.45 | -830.449999999999 |
| 30 | 9185 | 9377.45 | -192.449999999999 |
| 31 | 9470 | 9377.45 | 92.5500000000015 |
| 32 | 9123 | 9377.45 | -254.449999999999 |
| 33 | 9278 | 9377.45 | -99.4499999999985 |
| 34 | 10170 | 9377.45 | 792.550000000001 |
| 35 | 9434 | 9377.45 | 56.5500000000015 |
| 36 | 9655 | 9377.45 | 277.550000000001 |
| 37 | 9429 | 9377.45 | 51.5500000000015 |
| 38 | 8739 | 9377.45 | -638.449999999999 |
| 39 | 9552 | 9377.45 | 174.550000000001 |
| 40 | 9687 | 9377.45 | 309.550000000001 |
| 41 | 9019 | 9866.14285714286 | -847.142857142857 |
| 42 | 9672 | 9866.14285714286 | -194.142857142857 |
| 43 | 9206 | 9866.14285714286 | -660.142857142857 |
| 44 | 9069 | 9866.14285714286 | -797.142857142857 |
| 45 | 9788 | 9866.14285714286 | -78.1428571428572 |
| 46 | 10312 | 9866.14285714286 | 445.857142857143 |
| 47 | 10105 | 9866.14285714286 | 238.857142857143 |
| 48 | 9863 | 9866.14285714286 | -3.14285714285720 |
| 49 | 9656 | 9866.14285714286 | -210.142857142857 |
| 50 | 9295 | 9866.14285714286 | -571.142857142857 |
| 51 | 9946 | 9866.14285714286 | 79.8571428571428 |
| 52 | 9701 | 9866.14285714286 | -165.142857142857 |
| 53 | 9049 | 9866.14285714286 | -817.142857142857 |
| 54 | 10190 | 9866.14285714286 | 323.857142857143 |
| 55 | 9706 | 9866.14285714286 | -160.142857142857 |
| 56 | 9765 | 9866.14285714286 | -101.142857142857 |
| 57 | 9893 | 9866.14285714286 | 26.8571428571428 |
| 58 | 9994 | 9866.14285714286 | 127.857142857143 |
| 59 | 10433 | 9866.14285714286 | 566.857142857143 |
| 60 | 10073 | 9866.14285714286 | 206.857142857143 |
| 61 | 10112 | 9866.14285714286 | 245.857142857143 |
| 62 | 9266 | 9866.14285714286 | -600.142857142857 |
| 63 | 9820 | 9866.14285714286 | -46.1428571428572 |
| 64 | 10097 | 9866.14285714286 | 230.857142857143 |
| 65 | 9115 | 9866.14285714286 | -751.142857142857 |
| 66 | 10411 | 9866.14285714286 | 544.857142857143 |
| 67 | 9678 | 9866.14285714286 | -188.142857142857 |
| 68 | 10408 | 9866.14285714286 | 541.857142857143 |
| 69 | 10153 | 9866.14285714286 | 286.857142857143 |
| 70 | 10368 | 9866.14285714286 | 501.857142857143 |
| 71 | 10581 | 9866.14285714286 | 714.857142857143 |
| 72 | 10597 | 9866.14285714286 | 730.857142857143 |
| 73 | 10680 | 9866.14285714286 | 813.857142857143 |
| 74 | 9738 | 9866.14285714286 | -128.142857142857 |
| 75 | 9556 | 9866.14285714286 | -310.142857142857 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.805535796914764 | 0.388928406170472 | 0.194464203085236 |
| 6 | 0.775819617918916 | 0.448360764162167 | 0.224180382081084 |
| 7 | 0.682980951161742 | 0.634038097676515 | 0.317019048838258 |
| 8 | 0.742108826096925 | 0.515782347806149 | 0.257891173903075 |
| 9 | 0.638577886661657 | 0.722844226676685 | 0.361422113338343 |
| 10 | 0.69395381057941 | 0.61209237884118 | 0.30604618942059 |
| 11 | 0.68041410398289 | 0.63917179203422 | 0.31958589601711 |
| 12 | 0.614991370418494 | 0.770017259163011 | 0.385008629581506 |
| 13 | 0.551638393024509 | 0.896723213950981 | 0.448361606975491 |
| 14 | 0.550671413208913 | 0.898657173582175 | 0.449328586791088 |
| 15 | 0.507653761615978 | 0.984692476768045 | 0.492346238384022 |
| 16 | 0.422586457908033 | 0.845172915816067 | 0.577413542091967 |
| 17 | 0.558632908001248 | 0.882734183997504 | 0.441367091998752 |
| 18 | 0.495789621329061 | 0.991579242658121 | 0.50421037867094 |
| 19 | 0.498384983714987 | 0.996769967429973 | 0.501615016285013 |
| 20 | 0.424410577964068 | 0.848821155928135 | 0.575589422035932 |
| 21 | 0.465077321120631 | 0.930154642241263 | 0.534922678879369 |
| 22 | 0.508060748573465 | 0.98387850285307 | 0.491939251426535 |
| 23 | 0.45458715859782 | 0.90917431719564 | 0.54541284140218 |
| 24 | 0.384046666706994 | 0.768093333413989 | 0.615953333293006 |
| 25 | 0.332309853513382 | 0.664619707026764 | 0.667690146486618 |
| 26 | 0.454226381368186 | 0.908452762736372 | 0.545773618631814 |
| 27 | 0.39325547805152 | 0.78651095610304 | 0.60674452194848 |
| 28 | 0.338298686109552 | 0.676597372219105 | 0.661701313890448 |
| 29 | 0.504112553991349 | 0.991774892017301 | 0.495887446008651 |
| 30 | 0.449247531803018 | 0.898495063606035 | 0.550752468196982 |
| 31 | 0.384328166994882 | 0.768656333989763 | 0.615671833005118 |
| 32 | 0.344958772442631 | 0.689917544885261 | 0.655041227557369 |
| 33 | 0.290810579657195 | 0.581621159314391 | 0.709189420342805 |
| 34 | 0.412404751164964 | 0.824809502329927 | 0.587595248835036 |
| 35 | 0.348225719917888 | 0.696451439835775 | 0.651774280082112 |
| 36 | 0.30963538392078 | 0.61927076784156 | 0.69036461607922 |
| 37 | 0.253643502950853 | 0.507287005901705 | 0.746356497049147 |
| 38 | 0.325590214620705 | 0.651180429241409 | 0.674409785379295 |
| 39 | 0.273184661004500 | 0.546369322009001 | 0.7268153389955 |
| 40 | 0.232732670694917 | 0.465465341389833 | 0.767267329305083 |
| 41 | 0.276426689901581 | 0.552853379803162 | 0.723573310098419 |
| 42 | 0.257649245918644 | 0.515298491837287 | 0.742350754081357 |
| 43 | 0.277272572940092 | 0.554545145880183 | 0.722727427059908 |
| 44 | 0.355405527150662 | 0.710811054301325 | 0.644594472849338 |
| 45 | 0.332912088500434 | 0.665824177000869 | 0.667087911499566 |
| 46 | 0.404671546955937 | 0.809343093911874 | 0.595328453044063 |
| 47 | 0.384101714454233 | 0.768203428908466 | 0.615898285545767 |
| 48 | 0.327499079870491 | 0.654998159740983 | 0.672500920129508 |
| 49 | 0.281097855386957 | 0.562195710773914 | 0.718902144613043 |
| 50 | 0.318234498404962 | 0.636468996809924 | 0.681765501595038 |
| 51 | 0.268538801964469 | 0.537077603928939 | 0.731461198035531 |
| 52 | 0.225939995207576 | 0.451879990415152 | 0.774060004792424 |
| 53 | 0.404744711153196 | 0.809489422306393 | 0.595255288846804 |
| 54 | 0.376844610701456 | 0.753689221402912 | 0.623155389298544 |
| 55 | 0.333566384108755 | 0.66713276821751 | 0.666433615891245 |
| 56 | 0.286197110794098 | 0.572394221588196 | 0.713802889205902 |
| 57 | 0.233417967159873 | 0.466835934319746 | 0.766582032840127 |
| 58 | 0.18479726053474 | 0.36959452106948 | 0.81520273946526 |
| 59 | 0.195682508946008 | 0.391365017892017 | 0.804317491053992 |
| 60 | 0.149695934173567 | 0.299391868347134 | 0.850304065826433 |
| 61 | 0.111889482502049 | 0.223778965004098 | 0.888110517497951 |
| 62 | 0.186272113217015 | 0.372544226434029 | 0.813727886782985 |
| 63 | 0.145951422285647 | 0.291902844571294 | 0.854048577714353 |
| 64 | 0.102661472717383 | 0.205322945434767 | 0.897338527282617 |
| 65 | 0.369220037199921 | 0.738440074399842 | 0.630779962800079 |
| 66 | 0.313718524181942 | 0.627437048363884 | 0.686281475818058 |
| 67 | 0.349057005013606 | 0.698114010027213 | 0.650942994986394 |
| 68 | 0.26924812793008 | 0.53849625586016 | 0.73075187206992 |
| 69 | 0.175684270250418 | 0.351368540500835 | 0.824315729749582 |
| 70 | 0.105105959470602 | 0.210211918941205 | 0.894894040529398 |
| 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 |
