| Multiple Linear Regression - Estimated Regression Equation |
| fish[t] = -41.2391643111272 + 0.00174526740330461acre[t] + 0.373837371142891depth[t] + 2.10502929504239temp[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) | -41.2391643111272 | 35.046982 | -1.1767 | 0.24368 | 0.12184 |
| acre | 0.00174526740330461 | 0.000711 | 2.4555 | 0.016793 | 0.008397 |
| depth | 0.373837371142891 | 0.188004 | 1.9885 | 0.051041 | 0.025521 |
| temp | 2.10502929504239 | 1.692408 | 1.2438 | 0.218107 | 0.109054 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.435164868085848 |
| R-squared | 0.189368462416174 |
| Adjusted R-squared | 0.151370109091932 |
| F-TEST (value) | 4.983596546942 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 64 |
| p-value | 0.00360526313971232 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 43.5634129231826 |
| Sum Squared Residuals | 121457.340513005 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 13 | 25.2868095900067 | -12.2868095900067 |
| 2 | 12 | 36.4438820727695 | -24.4438820727695 |
| 3 | 54 | 69.9237336181237 | -15.9237336181237 |
| 4 | 19 | 21.7118311183929 | -2.71183111839285 |
| 5 | 37 | 18.4682585108258 | 18.5317414891742 |
| 6 | 2 | 5.99891041933373 | -3.99891041933373 |
| 7 | 72 | 36.293856551913 | 35.706143448087 |
| 8 | 164 | 80.870080787302 | 83.129919212698 |
| 9 | 18 | 76.8598243081697 | -58.8598243081697 |
| 10 | 1 | 9.92853151367835 | -8.92853151367835 |
| 11 | 53 | 29.8673008747292 | 23.1326991252708 |
| 12 | 16 | 29.9825852075761 | -13.9825852075761 |
| 13 | 32 | 74.7522105001224 | -42.7522105001224 |
| 14 | 21 | 43.8717672194858 | -22.8717672194858 |
| 15 | 23 | 43.5458604909312 | -20.5458604909312 |
| 16 | 18 | 23.7652325526582 | -5.7652325526582 |
| 17 | 112 | 81.5245343040634 | 30.4754656959366 |
| 18 | 25 | 33.4763487898329 | -8.47634878983288 |
| 19 | 5 | 28.0098936748247 | -23.0098936748247 |
| 20 | 26 | 35.8776211379743 | -9.8776211379743 |
| 21 | 8 | 79.7859966291157 | -71.7859966291157 |
| 22 | 15 | 9.85244004160436 | 5.14755995839564 |
| 23 | 11 | 48.3112850663285 | -37.3112850663285 |
| 24 | 11 | 49.4563466251008 | -38.4563466251008 |
| 25 | 87 | 47.8084607085202 | 39.1915392914798 |
| 26 | 33 | 21.1244884264531 | 11.8755115735469 |
| 27 | 22 | 43.0441321823568 | -21.0441321823568 |
| 28 | 98 | 16.2501373850297 | 81.7498626149703 |
| 29 | 1 | 31.2495177273459 | -30.2495177273459 |
| 30 | 5 | 11.9069220396517 | -6.90692203965172 |
| 31 | 1 | 45.0789024837022 | -44.0789024837022 |
| 32 | 38 | 19.1727109345184 | 18.8272890654816 |
| 33 | 30 | 63.6121951914544 | -33.6121951914544 |
| 34 | 12 | 25.2003378385896 | -13.2003378385896 |
| 35 | 24 | 31.8178758029039 | -7.8178758029039 |
| 36 | 6 | 20.9846165045825 | -14.9846165045825 |
| 37 | 15 | 33.3554673187657 | -18.3554673187657 |
| 38 | 38 | 57.1988920407768 | -19.1988920407768 |
| 39 | 84 | 23.5362275714888 | 60.4637724285112 |
| 40 | 3 | 54.0863425068374 | -51.0863425068374 |
| 41 | 18 | 26.5519211147709 | -8.5519211147709 |
| 42 | 63 | 18.4213983057199 | 44.5786016942801 |
| 43 | 239 | 68.0096008955124 | 170.990399104488 |
| 44 | 234 | 53.0624424127639 | 180.937557587236 |
| 45 | 6 | 8.06465846592656 | -2.06465846592656 |
| 46 | 76 | 59.9772252169346 | 16.0227747830654 |
| 47 | 25 | 27.4125856848075 | -2.41258568480755 |
| 48 | 8 | 24.6622747898305 | -16.6622747898305 |
| 49 | 23 | 49.6330453145234 | -26.6330453145234 |
| 50 | 16 | 44.9963697126576 | -28.9963697126576 |
| 51 | 6 | 41.3421101756225 | -35.3421101756225 |
| 52 | 100 | 86.532888131656 | 13.4671118683439 |
| 53 | 80 | 51.5682352454026 | 28.4317647545974 |
| 54 | 28 | 31.2472208408758 | -3.24722084087579 |
| 55 | 48 | 24.9857002192591 | 23.0142997807409 |
| 56 | 18 | 47.4259808765142 | -29.4259808765142 |
| 57 | 36 | 54.5129177665647 | -18.5129177665647 |
| 58 | 19 | 15.3347773608469 | 3.66522263915313 |
| 59 | 32 | 29.1252132923652 | 2.87478670763482 |
| 60 | 3 | 9.99152500425144 | -6.99152500425144 |
| 61 | 106 | 82.9469947135843 | 23.0530052864157 |
| 62 | 62 | 22.8324629293945 | 39.1675370706055 |
| 63 | 23 | 50.0459223243325 | -27.0459223243325 |
| 64 | 2 | 25.9147793019854 | -23.9147793019854 |
| 65 | 26 | 22.8752605800265 | 3.12473941997353 |
| 66 | 20 | 34.2327424202119 | -14.2327424202119 |
| 67 | 38 | 41.9125158189205 | -3.91251581892045 |
| 68 | 19 | 46.0888628168986 | -27.0888628168986 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.242424778558859 | 0.484849557117719 | 0.75757522144114 |
| 8 | 0.244951264766476 | 0.489902529532951 | 0.755048735233524 |
| 9 | 0.414471792305193 | 0.828943584610387 | 0.585528207694807 |
| 10 | 0.329183123563463 | 0.658366247126927 | 0.670816876436537 |
| 11 | 0.226714986065209 | 0.453429972130417 | 0.773285013934791 |
| 12 | 0.276470106870485 | 0.552940213740969 | 0.723529893129515 |
| 13 | 0.221431700576332 | 0.442863401152664 | 0.778568299423668 |
| 14 | 0.152915428583379 | 0.305830857166758 | 0.847084571416621 |
| 15 | 0.104104791993726 | 0.208209583987452 | 0.895895208006274 |
| 16 | 0.0745614818043242 | 0.149122963608648 | 0.925438518195676 |
| 17 | 0.0484335022730565 | 0.096867004546113 | 0.951566497726943 |
| 18 | 0.0309780376577901 | 0.0619560753155801 | 0.96902196234221 |
| 19 | 0.0205839405524647 | 0.0411678811049294 | 0.979416059447535 |
| 20 | 0.0121227936658816 | 0.0242455873317631 | 0.987877206334118 |
| 21 | 0.0110935911440558 | 0.0221871822881116 | 0.988906408855944 |
| 22 | 0.00608382505610701 | 0.012167650112214 | 0.993916174943893 |
| 23 | 0.00401566807622262 | 0.00803133615244524 | 0.995984331923777 |
| 24 | 0.00916843740175456 | 0.0183368748035091 | 0.990831562598245 |
| 25 | 0.0136108248730125 | 0.027221649746025 | 0.986389175126988 |
| 26 | 0.00818176670597121 | 0.0163635334119424 | 0.991818233294029 |
| 27 | 0.00566545213000823 | 0.0113309042600165 | 0.994334547869992 |
| 28 | 0.0329314494177687 | 0.0658628988355374 | 0.967068550582231 |
| 29 | 0.0252333548273534 | 0.0504667096547068 | 0.974766645172647 |
| 30 | 0.0177377259035597 | 0.0354754518071195 | 0.98226227409644 |
| 31 | 0.0181545276890555 | 0.0363090553781109 | 0.981845472310945 |
| 32 | 0.0134333716480215 | 0.026866743296043 | 0.986566628351979 |
| 33 | 0.0141082415598889 | 0.0282164831197778 | 0.985891758440111 |
| 34 | 0.00905401590873766 | 0.0181080318174753 | 0.990945984091262 |
| 35 | 0.00545883099192718 | 0.0109176619838544 | 0.994541169008073 |
| 36 | 0.00339749939970142 | 0.00679499879940284 | 0.996602500600299 |
| 37 | 0.00219964356058296 | 0.00439928712116592 | 0.997800356439417 |
| 38 | 0.00182276249203091 | 0.00364552498406182 | 0.99817723750797 |
| 39 | 0.00440864088727915 | 0.0088172817745583 | 0.99559135911272 |
| 40 | 0.0061266311465883 | 0.0122532622931766 | 0.993873368853412 |
| 41 | 0.00370493030688401 | 0.00740986061376801 | 0.996295069693116 |
| 42 | 0.00501844811672824 | 0.0100368962334565 | 0.994981551883272 |
| 43 | 0.541983431304348 | 0.916033137391303 | 0.458016568695652 |
| 44 | 0.99994705021711 | 0.000105899565782266 | 5.29497828911329e-05 |
| 45 | 0.999869321623926 | 0.000261356752147729 | 0.000130678376073865 |
| 46 | 0.999765355429945 | 0.000469289140110065 | 0.000234644570055033 |
| 47 | 0.999454276258148 | 0.00109144748370349 | 0.000545723741851747 |
| 48 | 0.998858809284816 | 0.00228238143036818 | 0.00114119071518409 |
| 49 | 0.998146303987016 | 0.00370739202596872 | 0.00185369601298436 |
| 50 | 0.997840086767406 | 0.00431982646518784 | 0.00215991323259392 |
| 51 | 0.99785668604793 | 0.00428662790414073 | 0.00214331395207036 |
| 52 | 0.996031927822255 | 0.0079361443554903 | 0.00396807217774515 |
| 53 | 0.996945321160758 | 0.00610935767848463 | 0.00305467883924232 |
| 54 | 0.99283895844718 | 0.014322083105638 | 0.00716104155281901 |
| 55 | 0.990275818853688 | 0.0194483622926241 | 0.00972418114631203 |
| 56 | 0.984829891925602 | 0.0303402161487957 | 0.0151701080743979 |
| 57 | 0.96775814545711 | 0.0644837090857786 | 0.0322418545428893 |
| 58 | 0.93564230607862 | 0.128715387842761 | 0.0643576939213806 |
| 59 | 0.874157268823237 | 0.251685462353526 | 0.125842731176763 |
| 60 | 0.766999335543955 | 0.466001328912089 | 0.233000664456045 |
| 61 | 0.820859577945198 | 0.358280844109604 | 0.179140422054802 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 16 | 0.290909090909091 | NOK |
| 5% type I error level | 35 | 0.636363636363636 | NOK |
| 10% type I error level | 40 | 0.727272727272727 | NOK |
