| Multiple Linear Regression - Estimated Regression Equation |
| Population [t] = + 9269874.88784229 + 1.37551473772754e-07GDP[t] + 24836.8461074138t + 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) | 9269874.88784229 | 38791.749789 | 238.9651 | 0 | 0 |
| GDP | 1.37551473772754e-07 | 1e-06 | 0.1923 | 0.848332 | 0.424166 |
| t | 24836.8461074138 | 5090.182232 | 4.8794 | 1.3e-05 | 6e-06 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.970485263345497 |
| R-squared | 0.941841646370779 |
| Adjusted R-squared | 0.939366822812088 |
| F-TEST (value) | 380.569209899239 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 47 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 95424.510321447 |
| Sum Squared Residuals | 427974346994.134 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9119000 | 9296699.43653547 | -177699.436535474 |
| 2 | 9166000 | 9321662.6882305 | -155662.688230507 |
| 3 | 9218000 | 9346646.81612812 | -128646.816128121 |
| 4 | 9283000 | 9371653.47116292 | -88653.471162918 |
| 5 | 9367000 | 9396780.16651056 | -29780.1665105557 |
| 6 | 9448000 | 9421857.63468146 | 26142.3653185359 |
| 7 | 9508000 | 9446912.78136014 | 61087.2186398563 |
| 8 | 9557000 | 9471978.1116897 | 85021.8883103057 |
| 9 | 9590000 | 9497050.97003314 | 92949.0299668622 |
| 10 | 9613000 | 9522285.80645675 | 90714.1935432527 |
| 11 | 9638000 | 9547574.90951172 | 90425.0904882762 |
| 12 | 9673000 | 9572841.34262688 | 100158.657373123 |
| 13 | 9709000 | 9598266.53765306 | 110733.462346941 |
| 14 | 9738000 | 9623854.38729698 | 114145.612703022 |
| 15 | 9768000 | 9649774.16240226 | 118225.837597743 |
| 16 | 9795000 | 9675394.9143587 | 119605.085641298 |
| 17 | 9811000 | 9701342.0759624 | 109657.924037591 |
| 18 | 9822000 | 9726932.14018505 | 95067.8598149447 |
| 19 | 9830000 | 9752507.63770663 | 77492.3622933712 |
| 20 | 9837000 | 9778090.59051808 | 58909.4094819192 |
| 21 | 9847000 | 9803932.29140685 | 43067.7085931533 |
| 22 | 9852000 | 9829374.04763047 | 22625.9523695291 |
| 23 | 9856000 | 9855285.4733613 | 714.526638707701 |
| 24 | 9856000 | 9880963.99693672 | -24963.9969367216 |
| 25 | 9853000 | 9907007.03191765 | -54007.0319176487 |
| 26 | 9858000 | 9932874.2761151 | -74874.2761150943 |
| 27 | 9862000 | 9958516.48610145 | -96516.4861014475 |
| 28 | 9870000 | 9984080.42929922 | -114080.429299224 |
| 29 | 9902000 | 10010230.4793267 | -108230.479326746 |
| 30 | 9938000 | 10036761.2718337 | -98761.2718336718 |
| 31 | 9967400 | 10062913.2475818 | -95513.247581827 |
| 32 | 10004500 | 10088850.092825 | -84350.0928250015 |
| 33 | 10045000 | 10114898.4923134 | -69898.4923134057 |
| 34 | 10084500 | 10140495.8605193 | -55995.8605193091 |
| 35 | 10115600 | 10166742.8843358 | -51142.8843358412 |
| 36 | 10136800 | 10192582.0680326 | -55782.0680326371 |
| 37 | 10157000 | 10217916.4378207 | -60916.437820687 |
| 38 | 10181000 | 10244099.2250990 | -63099.2250989672 |
| 39 | 10203000 | 10270089.8529684 | -67089.8529683869 |
| 40 | 10226000 | 10296120.0956623 | -70120.0956622531 |
| 41 | 10252000 | 10322812.9238053 | -70812.9238052827 |
| 42 | 10287000 | 10348632.1625384 | -61632.1625383816 |
| 43 | 10333000 | 10374675.1975193 | -41675.1975193087 |
| 44 | 10376080.14 | 10400485.0827522 | -24404.9427521903 |
| 45 | 10421120.61 | 10427536.3700359 | -6415.7600358729 |
| 46 | 10478650 | 10454026.5848580 | 24623.4151419654 |
| 47 | 10547958 | 10480974.5709849 | 66983.4290150873 |
| 48 | 10625700 | 10508116.0920354 | 117583.907964611 |
| 49 | 10708433 | 10534291.0388797 | 174141.961120336 |
| 50 | 10788760 | 10558111.1044929 | 230648.89550705 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.000144988924353674 | 0.000289977848707347 | 0.999855011075646 |
| 7 | 6.86218830065369e-05 | 0.000137243766013074 | 0.999931378116994 |
| 8 | 0.000706354526053009 | 0.00141270905210602 | 0.999293645473947 |
| 9 | 0.00982478650988757 | 0.0196495730197751 | 0.990175213490112 |
| 10 | 0.0452864120109638 | 0.0905728240219275 | 0.954713587989036 |
| 11 | 0.0411102451402387 | 0.0822204902804774 | 0.958889754859761 |
| 12 | 0.0265089916866627 | 0.0530179833733254 | 0.973491008313337 |
| 13 | 0.0215677157547557 | 0.0431354315095114 | 0.978432284245244 |
| 14 | 0.0241323003266545 | 0.0482646006533089 | 0.975867699673346 |
| 15 | 0.0433268542903101 | 0.0866537085806201 | 0.95667314570969 |
| 16 | 0.0342072923326275 | 0.0684145846652549 | 0.965792707667373 |
| 17 | 0.0252505611889102 | 0.0505011223778204 | 0.97474943881109 |
| 18 | 0.0142621151507254 | 0.0285242303014508 | 0.985737884849275 |
| 19 | 0.0089616142217367 | 0.0179232284434734 | 0.991038385778263 |
| 20 | 0.00761436192255568 | 0.0152287238451114 | 0.992385638077444 |
| 21 | 0.00582208000014989 | 0.0116441600002998 | 0.99417791999985 |
| 22 | 0.00988872152805141 | 0.0197774430561028 | 0.990111278471949 |
| 23 | 0.0122742439322062 | 0.0245484878644124 | 0.987725756067794 |
| 24 | 0.0193204020045003 | 0.0386408040090006 | 0.9806795979955 |
| 25 | 0.0167819664814713 | 0.0335639329629426 | 0.983218033518529 |
| 26 | 0.0117910249863205 | 0.0235820499726409 | 0.98820897501368 |
| 27 | 0.0083124061160059 | 0.0166248122320118 | 0.991687593883994 |
| 28 | 0.00656769398304549 | 0.0131353879660910 | 0.993432306016955 |
| 29 | 0.0053041256533737 | 0.0106082513067474 | 0.994695874346626 |
| 30 | 0.0398853283813295 | 0.079770656762659 | 0.96011467161867 |
| 31 | 0.147442820250706 | 0.294885640501412 | 0.852557179749294 |
| 32 | 0.286349701015347 | 0.572699402030695 | 0.713650298984653 |
| 33 | 0.437601639351946 | 0.875203278703892 | 0.562398360648054 |
| 34 | 0.549141488260151 | 0.901717023479698 | 0.450858511739849 |
| 35 | 0.658814783762889 | 0.682370432474222 | 0.341185216237111 |
| 36 | 0.731689400125684 | 0.536621199748632 | 0.268310599874316 |
| 37 | 0.806005029329621 | 0.387989941340757 | 0.193994970670379 |
| 38 | 0.882170600744 | 0.235658798511998 | 0.117829399255999 |
| 39 | 0.937912377199328 | 0.124175245601345 | 0.0620876228006724 |
| 40 | 0.967463623826817 | 0.0650727523463658 | 0.0325363761731829 |
| 41 | 0.982697893223315 | 0.0346042135533700 | 0.0173021067766850 |
| 42 | 0.988791153103486 | 0.0224176937930278 | 0.0112088468965139 |
| 43 | 0.995224945328499 | 0.00955010934300243 | 0.00477505467150122 |
| 44 | 0.996353948903291 | 0.00729210219341713 | 0.00364605109670856 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 5 | 0.128205128205128 | NOK |
| 5% type I error level | 22 | 0.564102564102564 | NOK |
| 10% type I error level | 30 | 0.76923076923077 | NOK |
