| Multiple Linear Regression - Estimated Regression Equation |
| Monthyly[t] = + 9.40744240441428 -0.000940994338385571births[t] + 0.0160487382337095t + 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) | 9.40744240441428 | 0.136638 | 68.8496 | 0 | 0 |
| births | -0.000940994338385571 | 0.000185 | -5.0927 | 3e-06 | 1e-06 |
| t | 0.0160487382337095 | 0.002296 | 6.9911 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.695540690081146 |
| R-squared | 0.483776851558557 |
| Adjusted R-squared | 0.469633751601257 |
| F-TEST (value) | 34.2058567795713 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 73 |
| p-value | 3.30040439422419e-11 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.436851007453688 |
| Sum Squared Residuals | 13.931232598071 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9 | 8.78737896989933 | 0.212621030100674 |
| 2 | 8 | 8.83542151563816 | -0.835421515638162 |
| 3 | 9 | 9.07730889508441 | -0.0773088950844086 |
| 4 | 9 | 8.89763081093392 | 0.10236918906608 |
| 5 | 9 | 9.21103376009747 | -0.211033760097469 |
| 6 | 9 | 9.0821693702198 | -0.0821693702198009 |
| 7 | 10 | 9.21960637810525 | 0.780393621894751 |
| 8 | 9 | 9.02016741284866 | -0.0201674128486628 |
| 9 | 9 | 8.79814458347082 | 0.201855416529177 |
| 10 | 9 | 9.00709716107357 | -0.00709716107357431 |
| 11 | 8 | 8.7154407506552 | -0.715440750655202 |
| 12 | 9 | 8.89804548678316 | 0.101954513216842 |
| 13 | 9 | 8.83599169493086 | 0.164008305069135 |
| 14 | 9 | 9.51450044738802 | -0.514500447388016 |
| 15 | 9 | 8.91231590530241 | 0.0876840946975945 |
| 16 | 9 | 9.24924371292559 | -0.249243712925595 |
| 17 | 9 | 9.52782987156888 | -0.527829871568878 |
| 18 | 9 | 8.83530987299825 | 0.164690127001747 |
| 19 | 10 | 9.29456694461157 | 0.705433055388434 |
| 20 | 10 | 9.53174935236589 | 0.468250647634115 |
| 21 | 9 | 8.81758648401239 | 0.182413515987609 |
| 22 | 9 | 8.96819741263524 | 0.0318025873647626 |
| 23 | 9 | 9.37287681262219 | -0.372876812622188 |
| 24 | 10 | 9.66840086935641 | 0.331599130643588 |
| 25 | 9 | 9.00975666696767 | -0.0097566669676668 |
| 26 | 9 | 9.66285857228841 | -0.662858572288408 |
| 27 | 10 | 9.54622710880975 | 0.453772891190248 |
| 28 | 9 | 9.08613271182036 | -0.0861327118203623 |
| 29 | 9 | 8.97420622003363 | 0.0257937799663659 |
| 30 | 10 | 9.84373682318306 | 0.156263176816944 |
| 31 | 10 | 9.82779175391166 | 0.172208246088344 |
| 32 | 10 | 9.41192409082639 | 0.588075909173611 |
| 33 | 10 | 9.74132394374249 | 0.258676056257507 |
| 34 | 10 | 9.73384782351656 | 0.266152176483436 |
| 35 | 9 | 9.55605172804285 | -0.556051728042845 |
| 36 | 9 | 9.07901943296252 | -0.0790194329625158 |
| 37 | 10 | 9.85256861359661 | 0.14743138640339 |
| 38 | 9 | 9.80557073115849 | -0.805570731158486 |
| 39 | 10 | 9.58731187913419 | 0.412688120865812 |
| 40 | 9 | 9.33705921960478 | -0.337059219604781 |
| 41 | 10 | 9.60435344618744 | 0.395646553812562 |
| 42 | 10 | 9.81707000114373 | 0.182929998856268 |
| 43 | 10 | 9.67973666222059 | 0.320263337779407 |
| 44 | 10 | 9.51135051013073 | 0.488649489869269 |
| 45 | 10 | 9.47564455975323 | 0.524355440246766 |
| 46 | 10 | 9.40606281319386 | 0.593937186806144 |
| 47 | 9 | 9.37882581186183 | -0.37882581186183 |
| 48 | 9 | 9.47485906885831 | -0.474859068858313 |
| 49 | 10 | 10.0451534724011 | -0.0451534724011233 |
| 50 | 9 | 9.998155589963 | -0.998155589963 |
| 51 | 10 | 9.7798967379387 | 0.220103262061298 |
| 52 | 9 | 9.52964407840929 | -0.529644078409295 |
| 53 | 10 | 9.87127685772441 | 0.128723142275588 |
| 54 | 9 | 9.79322616211956 | -0.793226162119564 |
| 55 | 10 | 9.9118432832373 | 0.0881567167626992 |
| 56 | 9 | 9.64653471429373 | -0.646534714293725 |
| 57 | 10 | 9.81408354100751 | 0.185916458992489 |
| 58 | 10 | 10.2328778560702 | -0.232877856070245 |
| 59 | 10 | 9.49330814058034 | 0.506691859419659 |
| 60 | 11 | 10.1981647345123 | 0.801835265487712 |
| 61 | 10 | 10.0250736107305 | -0.0250736107304978 |
| 62 | 10 | 9.6176748966907 | 0.3823251033093 |
| 63 | 9 | 9.58479192932836 | -0.58479192932836 |
| 64 | 10 | 10.2313068742804 | -0.231306874280402 |
| 65 | 10 | 9.5632527285078 | 0.436747271492199 |
| 66 | 9 | 9.65081703645881 | -0.650817036458814 |
| 67 | 10 | 10.2916860153805 | -0.291686015380543 |
| 68 | 10 | 9.7111443430778 | 0.2888556569222 |
| 69 | 10 | 9.9756155866453 | 0.0243844133546994 |
| 70 | 10 | 9.92203074383848 | 0.0779692561615222 |
| 71 | 11 | 10.0745236611381 | 0.925476338861905 |
| 72 | 10 | 9.94565927126043 | 0.0543407287395735 |
| 73 | 10 | 9.76409919843317 | 0.235900801566834 |
| 74 | 10 | 9.80931876115683 | 0.190681238843172 |
| 75 | 9 | 9.72185812216813 | -0.721858122168125 |
| 76 | 10 | 10.3156773841706 | -0.315677384170575 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.663469119068927 | 0.673061761862146 | 0.336530880931073 |
| 7 | 0.763164624233717 | 0.473670751532566 | 0.236835375766283 |
| 8 | 0.68485901256207 | 0.630281974875861 | 0.31514098743793 |
| 9 | 0.566220971870091 | 0.867558056259817 | 0.433779028129909 |
| 10 | 0.479005448804941 | 0.958010897609883 | 0.520994551195059 |
| 11 | 0.56278008417437 | 0.874439831651261 | 0.43721991582563 |
| 12 | 0.470686969307826 | 0.941373938615652 | 0.529313030692174 |
| 13 | 0.393169910077525 | 0.78633982015505 | 0.606830089922475 |
| 14 | 0.561955862604378 | 0.876088274791244 | 0.438044137395622 |
| 15 | 0.479132277988357 | 0.958264555976714 | 0.520867722011643 |
| 16 | 0.409993924754886 | 0.819987849509772 | 0.590006075245114 |
| 17 | 0.399007351164073 | 0.798014702328147 | 0.600992648835927 |
| 18 | 0.339502708313971 | 0.679005416627941 | 0.660497291686029 |
| 19 | 0.494347580627575 | 0.98869516125515 | 0.505652419372425 |
| 20 | 0.483378397005705 | 0.96675679401141 | 0.516621602994295 |
| 21 | 0.406720233613216 | 0.813440467226433 | 0.593279766386784 |
| 22 | 0.336499620576971 | 0.672999241153942 | 0.663500379423029 |
| 23 | 0.341658809063292 | 0.683317618126584 | 0.658341190936708 |
| 24 | 0.298572964101208 | 0.597145928202415 | 0.701427035898792 |
| 25 | 0.240030949213267 | 0.480061898426535 | 0.759969050786733 |
| 26 | 0.338836164563118 | 0.677672329126236 | 0.661163835436882 |
| 27 | 0.333525882402728 | 0.667051764805457 | 0.666474117597272 |
| 28 | 0.278595248875374 | 0.557190497750748 | 0.721404751124626 |
| 29 | 0.222139612614698 | 0.444279225229395 | 0.777860387385302 |
| 30 | 0.175535048419096 | 0.351070096838191 | 0.824464951580904 |
| 31 | 0.135929717411525 | 0.27185943482305 | 0.864070282588475 |
| 32 | 0.148638558039455 | 0.297277116078911 | 0.851361441960545 |
| 33 | 0.117657872422011 | 0.235315744844021 | 0.882342127577989 |
| 34 | 0.0927065533711773 | 0.185413106742355 | 0.907293446628823 |
| 35 | 0.133815080937728 | 0.267630161875455 | 0.866184919062272 |
| 36 | 0.104016947640981 | 0.208033895281962 | 0.895983052359019 |
| 37 | 0.0778705681442984 | 0.155741136288597 | 0.922129431855702 |
| 38 | 0.170012519625878 | 0.340025039251755 | 0.829987480374122 |
| 39 | 0.156592855765601 | 0.313185711531201 | 0.843407144234399 |
| 40 | 0.146647755577732 | 0.293295511155464 | 0.853352244422268 |
| 41 | 0.1321854755745 | 0.264370951149001 | 0.867814524425499 |
| 42 | 0.102410745502881 | 0.204821491005762 | 0.897589254497119 |
| 43 | 0.0857165097271705 | 0.171433019454341 | 0.914283490272829 |
| 44 | 0.0876292191044969 | 0.175258438208994 | 0.912370780895503 |
| 45 | 0.099329442576862 | 0.198658885153724 | 0.900670557423138 |
| 46 | 0.142024576420679 | 0.284049152841358 | 0.857975423579321 |
| 47 | 0.136975242477433 | 0.273950484954867 | 0.863024757522567 |
| 48 | 0.137977314019485 | 0.27595462803897 | 0.862022685980515 |
| 49 | 0.107135981517539 | 0.214271963035078 | 0.892864018482461 |
| 50 | 0.263858170838501 | 0.527716341677003 | 0.736141829161499 |
| 51 | 0.228303313146992 | 0.456606626293985 | 0.771696686853008 |
| 52 | 0.231511721718096 | 0.463023443436192 | 0.768488278281904 |
| 53 | 0.185639966224648 | 0.371279932449296 | 0.814360033775352 |
| 54 | 0.293230343729919 | 0.586460687459838 | 0.706769656270081 |
| 55 | 0.232511530848703 | 0.465023061697406 | 0.767488469151297 |
| 56 | 0.326683516871845 | 0.653367033743691 | 0.673316483128155 |
| 57 | 0.263806189138558 | 0.527612378277115 | 0.736193810861442 |
| 58 | 0.248475305430984 | 0.496950610861967 | 0.751524694569016 |
| 59 | 0.2339870658061 | 0.4679741316122 | 0.7660129341939 |
| 60 | 0.336768181643504 | 0.673536363287008 | 0.663231818356496 |
| 61 | 0.260339031104556 | 0.520678062209113 | 0.739660968895444 |
| 62 | 0.248722593636604 | 0.497445187273208 | 0.751277406363396 |
| 63 | 0.280675319889146 | 0.561350639778293 | 0.719324680110853 |
| 64 | 0.227902880208845 | 0.45580576041769 | 0.772097119791155 |
| 65 | 0.209094894254461 | 0.418189788508923 | 0.790905105745539 |
| 66 | 0.342704414654817 | 0.685408829309635 | 0.657295585345183 |
| 67 | 0.468002156686974 | 0.936004313373947 | 0.531997843313026 |
| 68 | 0.350637676471577 | 0.701275352943154 | 0.649362323528423 |
| 69 | 0.386972343720757 | 0.773944687441514 | 0.613027656279243 |
| 70 | 0.558769381783375 | 0.882461236433251 | 0.441230618216625 |
| 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 |
