| Multiple Linear Regression - Estimated Regression Equation |
| geboorten[t] = + 9330.58695652173 + 107.620600414074M1[t] -635.532091097308M2[t] -287.827639751553M3[t] + 8.74534161490709M4[t] -879.764492753623M5[t] + 75.725672877847M6[t] -309.617494824016M7[t] -141.293995859213M8[t] -196.97049689441M9[t] + 367.186335403727M10[t] + 234.50983436853M11[t] + 11.0098343685301t + 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) | 9330.58695652173 | 136.432397 | 68.3898 | 0 | 0 |
| M1 | 107.620600414074 | 162.984839 | 0.6603 | 0.5115 | 0.25575 |
| M2 | -635.532091097308 | 162.916845 | -3.901 | 0.000238 | 0.000119 |
| M3 | -287.827639751553 | 162.863941 | -1.7673 | 0.082101 | 0.04105 |
| M4 | 8.74534161490709 | 169.407011 | 0.0516 | 0.958995 | 0.479497 |
| M5 | -879.764492753623 | 169.297972 | -5.1965 | 2e-06 | 1e-06 |
| M6 | 75.725672877847 | 169.203414 | 0.4475 | 0.656043 | 0.328022 |
| M7 | -309.617494824016 | 169.123363 | -1.8307 | 0.071949 | 0.035975 |
| M8 | -141.293995859213 | 169.057838 | -0.8358 | 0.406492 | 0.203246 |
| M9 | -196.97049689441 | 169.006856 | -1.1655 | 0.248298 | 0.124149 |
| M10 | 367.186335403727 | 168.970432 | 2.1731 | 0.033604 | 0.016802 |
| M11 | 234.50983436853 | 168.948573 | 1.3881 | 0.170088 | 0.085044 |
| t | 11.0098343685301 | 1.569122 | 7.0166 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.846483642463992 |
| R-squared | 0.716534556959107 |
| Adjusted R-squared | 0.66167027766087 |
| F-TEST (value) | 13.0601288511253 |
| F-TEST (DF numerator) | 12 |
| F-TEST (DF denominator) | 62 |
| p-value | 8.07798272717264e-13 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 292.614891203775 |
| Sum Squared Residuals | 5308655.42236023 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9700 | 9449.21739130438 | 250.782608695625 |
| 2 | 9081 | 8717.07453416149 | 363.925465838511 |
| 3 | 9084 | 9075.78881987578 | 8.21118012422474 |
| 4 | 9743 | 9383.37163561077 | 359.628364389235 |
| 5 | 8587 | 8505.87163561077 | 81.128364389235 |
| 6 | 9731 | 9472.37163561077 | 258.628364389235 |
| 7 | 9563 | 9098.03830227743 | 464.961697722568 |
| 8 | 9998 | 9277.37163561077 | 720.628364389235 |
| 9 | 9437 | 9232.7049689441 | 204.295031055902 |
| 10 | 10038 | 9807.87163561077 | 230.128364389235 |
| 11 | 9918 | 9686.2049689441 | 231.795031055901 |
| 12 | 9252 | 9462.7049689441 | -210.704968944098 |
| 13 | 9737 | 9581.3354037267 | 155.664596273298 |
| 14 | 9035 | 8849.19254658385 | 185.80745341615 |
| 15 | 9133 | 9207.90683229814 | -74.9068322981358 |
| 16 | 9487 | 9515.48964803313 | -28.4896480331258 |
| 17 | 8700 | 8637.98964803313 | 62.0103519668743 |
| 18 | 9627 | 9604.48964803313 | 22.5103519668743 |
| 19 | 8947 | 9230.1563146998 | -283.156314699792 |
| 20 | 9283 | 9409.48964803313 | -126.489648033126 |
| 21 | 8829 | 9364.82298136646 | -535.822981366459 |
| 22 | 9947 | 9939.98964803313 | 7.01035196687427 |
| 23 | 9628 | 9818.32298136646 | -190.322981366459 |
| 24 | 9318 | 9594.82298136646 | -276.822981366459 |
| 25 | 9605 | 9713.45341614906 | -108.453416149063 |
| 26 | 8640 | 8981.31055900621 | -341.310559006211 |
| 27 | 9214 | 9340.0248447205 | -126.024844720497 |
| 28 | 9567 | 9647.60766045549 | -80.6076604554864 |
| 29 | 8547 | 8770.10766045549 | -223.107660455487 |
| 30 | 9185 | 9736.60766045549 | -551.607660455486 |
| 31 | 9470 | 9362.27432712215 | 107.725672877847 |
| 32 | 9123 | 9541.60766045549 | -418.607660455486 |
| 33 | 9278 | 9496.94099378882 | -218.94099378882 |
| 34 | 10170 | 10072.1076604555 | 97.8923395445137 |
| 35 | 9434 | 9950.44099378882 | -516.44099378882 |
| 36 | 9655 | 9726.94099378882 | -71.9409937888196 |
| 37 | 9429 | 9845.57142857142 | -416.571428571424 |
| 38 | 8739 | 9113.42857142857 | -374.428571428572 |
| 39 | 9552 | 9472.14285714286 | 79.8571428571428 |
| 40 | 9687 | 9779.72567287785 | -92.725672877847 |
| 41 | 9019 | 8902.22567287785 | 116.774327122153 |
| 42 | 9672 | 9868.72567287785 | -196.725672877847 |
| 43 | 9206 | 9494.39233954451 | -288.392339544514 |
| 44 | 9069 | 9673.72567287785 | -604.725672877847 |
| 45 | 9788 | 9629.05900621118 | 158.94099378882 |
| 46 | 10312 | 10204.2256728778 | 107.774327122153 |
| 47 | 10105 | 10082.5590062112 | 22.4409937888197 |
| 48 | 9863 | 9859.05900621118 | 3.94099378881966 |
| 49 | 9656 | 9977.68944099378 | -321.689440993785 |
| 50 | 9295 | 9245.54658385093 | 49.4534161490679 |
| 51 | 9946 | 9604.26086956522 | 341.739130434782 |
| 52 | 9701 | 9911.8436853002 | -210.843685300208 |
| 53 | 9049 | 9034.3436853002 | 14.6563146997924 |
| 54 | 10190 | 10000.8436853002 | 189.156314699792 |
| 55 | 9706 | 9626.51035196687 | 79.4896480331256 |
| 56 | 9765 | 9805.8436853002 | -40.8436853002078 |
| 57 | 9893 | 9761.17701863354 | 131.822981366459 |
| 58 | 9994 | 10336.3436853002 | -342.343685300208 |
| 59 | 10433 | 10214.6770186335 | 218.322981366459 |
| 60 | 10073 | 9991.17701863354 | 81.8229813664592 |
| 61 | 10112 | 10109.8074534161 | 2.19254658385478 |
| 62 | 9266 | 9377.6645962733 | -111.664596273293 |
| 63 | 9820 | 9736.37888198758 | 83.6211180124216 |
| 64 | 10097 | 10043.9616977226 | 53.0383022774317 |
| 65 | 9115 | 9166.46169772257 | -51.4616977225683 |
| 66 | 10411 | 10132.9616977226 | 278.038302277432 |
| 67 | 9678 | 9758.62836438923 | -80.628364389235 |
| 68 | 10408 | 9937.96169772257 | 470.038302277432 |
| 69 | 10153 | 9893.2950310559 | 259.704968944098 |
| 70 | 10368 | 10468.4616977226 | -100.461697722568 |
| 71 | 10581 | 10346.7950310559 | 234.204968944098 |
| 72 | 10597 | 10123.2950310559 | 473.704968944098 |
| 73 | 10680 | 10241.9254658385 | 438.074534161494 |
| 74 | 9738 | 9509.78260869565 | 228.217391304347 |
| 75 | 9556 | 9868.49689440994 | -312.496894409939 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 16 | 0.0857950324780305 | 0.171590064956061 | 0.91420496752197 |
| 17 | 0.0524991423628487 | 0.104998284725697 | 0.947500857637151 |
| 18 | 0.0231043965667466 | 0.0462087931334933 | 0.976895603433253 |
| 19 | 0.23149521021977 | 0.462990420439541 | 0.76850478978023 |
| 20 | 0.455792536295225 | 0.91158507259045 | 0.544207463704775 |
| 21 | 0.504624854768491 | 0.990750290463018 | 0.495375145231509 |
| 22 | 0.437677666203558 | 0.875355332407117 | 0.562322333796441 |
| 23 | 0.340351871668433 | 0.680703743336866 | 0.659648128331567 |
| 24 | 0.310855860227999 | 0.621711720455999 | 0.689144139772 |
| 25 | 0.267236336881097 | 0.534472673762193 | 0.732763663118903 |
| 26 | 0.20684988325679 | 0.413699766513581 | 0.79315011674321 |
| 27 | 0.239916252646907 | 0.479832505293814 | 0.760083747353093 |
| 28 | 0.20563145471016 | 0.411262909420319 | 0.79436854528984 |
| 29 | 0.153268958573314 | 0.306537917146629 | 0.846731041426686 |
| 30 | 0.173008461432075 | 0.34601692286415 | 0.826991538567925 |
| 31 | 0.268002998181082 | 0.536005996362165 | 0.731997001818918 |
| 32 | 0.261416420975539 | 0.522832841951078 | 0.738583579024461 |
| 33 | 0.268458916033421 | 0.536917832066843 | 0.731541083966579 |
| 34 | 0.342995129165929 | 0.685990258331858 | 0.657004870834071 |
| 35 | 0.35877367472747 | 0.71754734945494 | 0.64122632527253 |
| 36 | 0.431905718587352 | 0.863811437174704 | 0.568094281412648 |
| 37 | 0.380362945006806 | 0.760725890013612 | 0.619637054993194 |
| 38 | 0.329100876838706 | 0.658201753677411 | 0.670899123161294 |
| 39 | 0.450505003315907 | 0.901010006631814 | 0.549494996684093 |
| 40 | 0.403190199995985 | 0.80638039999197 | 0.596809800004015 |
| 41 | 0.485094127735026 | 0.970188255470051 | 0.514905872264974 |
| 42 | 0.454317102071593 | 0.908634204143186 | 0.545682897928407 |
| 43 | 0.380756271864448 | 0.761512543728896 | 0.619243728135552 |
| 44 | 0.606126854145476 | 0.787746291709047 | 0.393873145854524 |
| 45 | 0.674996769060583 | 0.650006461878833 | 0.325003230939417 |
| 46 | 0.752290768263355 | 0.49541846347329 | 0.247709231736645 |
| 47 | 0.728811920081672 | 0.542376159836656 | 0.271188079918328 |
| 48 | 0.704138728110715 | 0.59172254377857 | 0.295861271889285 |
| 49 | 0.74712682558055 | 0.5057463488389 | 0.25287317441945 |
| 50 | 0.699421991351506 | 0.601156017296988 | 0.300578008648494 |
| 51 | 0.916224561685615 | 0.16755087662877 | 0.0837754383143848 |
| 52 | 0.872687059430543 | 0.254625881138913 | 0.127312940569457 |
| 53 | 0.8375866932 | 0.324826613599999 | 0.1624133068 |
| 54 | 0.791320712635809 | 0.417358574728382 | 0.208679287364191 |
| 55 | 0.7894838579563 | 0.421032284087401 | 0.210516142043701 |
| 56 | 0.775925335602774 | 0.448149328794452 | 0.224074664397226 |
| 57 | 0.673058641197513 | 0.653882717604975 | 0.326941358802487 |
| 58 | 0.539452308814349 | 0.921095382371301 | 0.46054769118565 |
| 59 | 0.416110442244625 | 0.83222088448925 | 0.583889557755375 |
| 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 | 1 | 0.0227272727272727 | OK |
| 10% type I error level | 1 | 0.0227272727272727 | OK |
