| Multiple Linear Regression - Estimated Regression Equation |
| births[t] = + 9164.15747747747 + 11.6144523470840t + 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) | 9164.15747747747 | 102.10434 | 89.7529 | 0 | 0 |
| t | 11.6144523470840 | 2.334665 | 4.9748 | 4e-06 | 2e-06 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.503175160490125 |
| R-squared | 0.253185242134263 |
| Adjusted R-squared | 0.242954902985417 |
| F-TEST (value) | 24.7484700605287 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 73 |
| p-value | 4.20387907296149e-06 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 437.710760269624 |
| Sum Squared Residuals | 13986121.8048743 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9700 | 9175.77192982462 | 524.228070175382 |
| 2 | 9081 | 9187.38638217164 | -106.386382171642 |
| 3 | 9084 | 9199.00083451873 | -115.000834518726 |
| 4 | 9743 | 9210.61528686581 | 532.38471313419 |
| 5 | 8587 | 9222.2297392129 | -635.229739212894 |
| 6 | 9731 | 9233.84419155998 | 497.155808440022 |
| 7 | 9563 | 9245.45864390706 | 317.541356092938 |
| 8 | 9998 | 9257.07309625415 | 740.926903745854 |
| 9 | 9437 | 9268.68754860123 | 168.312451398770 |
| 10 | 10038 | 9280.30200094831 | 757.697999051686 |
| 11 | 9918 | 9291.9164532954 | 626.083546704602 |
| 12 | 9252 | 9303.53090564248 | -51.5309056424822 |
| 13 | 9737 | 9315.14535798957 | 421.854642010434 |
| 14 | 9035 | 9326.75981033665 | -291.75981033665 |
| 15 | 9133 | 9338.37426268373 | -205.374262683734 |
| 16 | 9487 | 9349.98871503082 | 137.011284969182 |
| 17 | 8700 | 9361.6031673779 | -661.603167377902 |
| 18 | 9627 | 9373.21761972499 | 253.782380275014 |
| 19 | 8947 | 9384.83207207207 | -437.83207207207 |
| 20 | 9283 | 9396.44652441915 | -113.446524419154 |
| 21 | 8829 | 9408.06097676624 | -579.060976766238 |
| 22 | 9947 | 9419.67542911332 | 527.324570886678 |
| 23 | 9628 | 9431.2898814604 | 196.710118539594 |
| 24 | 9318 | 9442.9043338075 | -124.90433380749 |
| 25 | 9605 | 9454.51878615457 | 150.481213845426 |
| 26 | 8640 | 9466.13323850166 | -826.133238501658 |
| 27 | 9214 | 9477.74769084874 | -263.747690848742 |
| 28 | 9567 | 9489.36214319583 | 77.637856804174 |
| 29 | 8547 | 9500.9765955429 | -953.97659554291 |
| 30 | 9185 | 9512.59104789 | -327.591047889994 |
| 31 | 9470 | 9524.20550023708 | -54.205500237078 |
| 32 | 9123 | 9535.81995258416 | -412.819952584162 |
| 33 | 9278 | 9547.43440493125 | -269.434404931246 |
| 34 | 10170 | 9559.04885727833 | 610.95114272167 |
| 35 | 9434 | 9570.66330962541 | -136.663309625414 |
| 36 | 9655 | 9582.2777619725 | 72.7222380275021 |
| 37 | 9429 | 9593.89221431958 | -164.892214319582 |
| 38 | 8739 | 9605.50666666667 | -866.506666666666 |
| 39 | 9552 | 9617.12111901375 | -65.1211190137498 |
| 40 | 9687 | 9628.73557136083 | 58.2644286391662 |
| 41 | 9019 | 9640.35002370792 | -621.350023707918 |
| 42 | 9672 | 9651.964476055 | 20.0355239449982 |
| 43 | 9206 | 9663.57892840209 | -457.578928402086 |
| 44 | 9069 | 9675.19338074917 | -606.19338074917 |
| 45 | 9788 | 9686.80783309625 | 101.192166903746 |
| 46 | 10312 | 9698.42228544334 | 613.577714556662 |
| 47 | 10105 | 9710.03673779042 | 394.963262209578 |
| 48 | 9863 | 9721.6511901375 | 141.348809862494 |
| 49 | 9656 | 9733.2656424846 | -77.2656424845897 |
| 50 | 9295 | 9744.88009483167 | -449.880094831674 |
| 51 | 9946 | 9756.49454717876 | 189.505452821242 |
| 52 | 9701 | 9768.10899952584 | -67.1089995258417 |
| 53 | 9049 | 9779.72345187293 | -730.723451872926 |
| 54 | 10190 | 9791.33790422 | 398.66209577999 |
| 55 | 9706 | 9802.9523565671 | -96.9523565670936 |
| 56 | 9765 | 9814.56680891418 | -49.5668089141776 |
| 57 | 9893 | 9826.18126126126 | 66.8187387387384 |
| 58 | 9994 | 9837.79571360835 | 156.204286391654 |
| 59 | 10433 | 9849.41016595543 | 583.58983404457 |
| 60 | 10073 | 9861.02461830251 | 211.975381697486 |
| 61 | 10112 | 9872.6390706496 | 239.360929350402 |
| 62 | 9266 | 9884.25352299668 | -618.253522996682 |
| 63 | 9820 | 9895.86797534377 | -75.8679753437655 |
| 64 | 10097 | 9907.48242769085 | 189.517572309150 |
| 65 | 9115 | 9919.09688003793 | -804.096880037933 |
| 66 | 10411 | 9930.71133238502 | 480.288667614983 |
| 67 | 9678 | 9942.3257847321 | -264.325784732101 |
| 68 | 10408 | 9953.94023707918 | 454.059762920815 |
| 69 | 10153 | 9965.55468942627 | 187.445310573731 |
| 70 | 10368 | 9977.16914177335 | 390.830858226647 |
| 71 | 10581 | 9988.78359412044 | 592.216405879563 |
| 72 | 10597 | 10000.3980464675 | 596.601953532479 |
| 73 | 10680 | 10012.0124988146 | 667.987501185395 |
| 74 | 9738 | 10023.6269511617 | -285.626951161689 |
| 75 | 9556 | 10035.2414035088 | -479.241403508773 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.688634033539313 | 0.622731932921375 | 0.311365966460687 |
| 6 | 0.786660966062836 | 0.426678067874329 | 0.213339033937164 |
| 7 | 0.701829417804344 | 0.596341164391311 | 0.298170582195656 |
| 8 | 0.713607743354493 | 0.572784513291013 | 0.286392256645507 |
| 9 | 0.633517907865681 | 0.732964184268638 | 0.366482092134319 |
| 10 | 0.623665166422377 | 0.752669667155245 | 0.376334833577623 |
| 11 | 0.570697286155062 | 0.858605427689875 | 0.429302713844938 |
| 12 | 0.631151046668469 | 0.737697906663062 | 0.368848953331531 |
| 13 | 0.575572080850766 | 0.848855838298467 | 0.424427919149234 |
| 14 | 0.66697803014617 | 0.666043939707661 | 0.333021969853830 |
| 15 | 0.650941420966366 | 0.698117158067269 | 0.349058579033634 |
| 16 | 0.58352781228383 | 0.83294437543234 | 0.41647218771617 |
| 17 | 0.691295349836029 | 0.617409300327943 | 0.308704650163971 |
| 18 | 0.664145629613711 | 0.671708740772577 | 0.335854370386289 |
| 19 | 0.638811981778236 | 0.722376036443529 | 0.361188018221764 |
| 20 | 0.564970896257414 | 0.870058207485172 | 0.435029103742586 |
| 21 | 0.551797400388875 | 0.89640519922225 | 0.448202599611125 |
| 22 | 0.685982711590795 | 0.62803457681841 | 0.314017288409205 |
| 23 | 0.668874420221326 | 0.662251159557348 | 0.331125579778674 |
| 24 | 0.603771667988433 | 0.792456664023133 | 0.396228332011567 |
| 25 | 0.577977092043577 | 0.844045815912847 | 0.422022907956423 |
| 26 | 0.661846231502987 | 0.676307536994026 | 0.338153768497013 |
| 27 | 0.595023687825903 | 0.809952624348193 | 0.404976312174097 |
| 28 | 0.566339021249006 | 0.867321957501987 | 0.433660978750994 |
| 29 | 0.678809738161429 | 0.642380523677142 | 0.321190261838571 |
| 30 | 0.616873378551196 | 0.766253242897608 | 0.383126621448804 |
| 31 | 0.571791239029687 | 0.856417521940625 | 0.428208760970313 |
| 32 | 0.51312690790671 | 0.97374618418658 | 0.48687309209329 |
| 33 | 0.449307055351734 | 0.898614110703468 | 0.550692944648266 |
| 34 | 0.671782081295746 | 0.656435837408509 | 0.328217918704254 |
| 35 | 0.613348681893997 | 0.773302636212007 | 0.386651318106003 |
| 36 | 0.585522768181493 | 0.828954463637014 | 0.414477231818507 |
| 37 | 0.520989567591777 | 0.958020864816446 | 0.479010432408223 |
| 38 | 0.601978571386129 | 0.796042857227742 | 0.398021428613871 |
| 39 | 0.549362286194049 | 0.901275427611903 | 0.450637713805951 |
| 40 | 0.515063656950505 | 0.96987268609899 | 0.484936343049495 |
| 41 | 0.514195602735869 | 0.971608794528263 | 0.485804397264131 |
| 42 | 0.470473372175228 | 0.940946744350456 | 0.529526627824772 |
| 43 | 0.437856220921439 | 0.875712441842878 | 0.562143779078561 |
| 44 | 0.462231739471294 | 0.924463478942589 | 0.537768260528706 |
| 45 | 0.431126285342165 | 0.86225257068433 | 0.568873714657835 |
| 46 | 0.582305004612788 | 0.835389990774423 | 0.417694995387212 |
| 47 | 0.623154284540717 | 0.753691430918565 | 0.376845715459283 |
| 48 | 0.587141338628864 | 0.825717322742272 | 0.412858661371136 |
| 49 | 0.519130660938041 | 0.961738678123919 | 0.480869339061959 |
| 50 | 0.48951348353655 | 0.9790269670731 | 0.51048651646345 |
| 51 | 0.454283838396826 | 0.908567676793652 | 0.545716161603174 |
| 52 | 0.384811486423858 | 0.769622972847716 | 0.615188513576142 |
| 53 | 0.491548593911952 | 0.983097187823905 | 0.508451406088048 |
| 54 | 0.496113784862523 | 0.992227569725045 | 0.503886215137477 |
| 55 | 0.426199960928072 | 0.852399921856145 | 0.573800039071928 |
| 56 | 0.357594267905408 | 0.715188535810817 | 0.642405732094592 |
| 57 | 0.292877552664560 | 0.585755105329121 | 0.70712244733544 |
| 58 | 0.237622060786382 | 0.475244121572765 | 0.762377939213618 |
| 59 | 0.292671882743466 | 0.585343765486932 | 0.707328117256534 |
| 60 | 0.251237969518459 | 0.502475939036918 | 0.748762030481541 |
| 61 | 0.226043750669063 | 0.452087501338126 | 0.773956249330937 |
| 62 | 0.249256694695164 | 0.498513389390329 | 0.750743305304836 |
| 63 | 0.184496929199064 | 0.368993858398127 | 0.815503070800936 |
| 64 | 0.134659494854206 | 0.269318989708413 | 0.865340505145794 |
| 65 | 0.425176561752996 | 0.850353123505992 | 0.574823438247004 |
| 66 | 0.34541081228523 | 0.69082162457046 | 0.65458918771477 |
| 67 | 0.550628480753971 | 0.898743038492058 | 0.449371519246029 |
| 68 | 0.458377684921744 | 0.916755369843487 | 0.541622315078256 |
| 69 | 0.543941113410423 | 0.912117773179154 | 0.456058886589577 |
| 70 | 0.639894368994486 | 0.720211262011028 | 0.360105631005514 |
| 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 |
