| Multiple Linear Regression - Estimated Regression Equation |
| Fish[t] = -63.6423894141477 + 2.31247145920237Month[t] + 0.00179280767392933Acre[t] + 0.374300156306726Depth[t] + 1.90718013651869Temp[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) | -63.6423894141477 | 49.437503 | -1.2873 | 0.202689 | 0.101344 |
| Month | 2.31247145920237 | 3.582327 | 0.6455 | 0.520933 | 0.260467 |
| Acre | 0.00179280767392933 | 0.000718 | 2.4977 | 0.015125 | 0.007563 |
| Depth | 0.374300156306726 | 0.188868 | 1.9818 | 0.051868 | 0.025934 |
| Temp | 1.90718013651869 | 1.727579 | 1.104 | 0.273809 | 0.136904 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.44124252320546 |
| R-squared | 0.194694964284721 |
| Adjusted R-squared | 0.143564485826608 |
| F-TEST (value) | 3.80780642301673 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 63 |
| p-value | 0.00778070011843357 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 43.7633005626207 |
| Sum Squared Residuals | 120659.267996459 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 13 | 20.8259401116409 | -7.82594011164095 |
| 2 | 12 | 31.2114893178009 | -19.2114893178009 |
| 3 | 54 | 65.4514326796618 | -11.4514326796618 |
| 4 | 19 | 16.9530481885957 | 2.04695181140428 |
| 5 | 37 | 13.1605518891799 | 23.8394481108201 |
| 6 | 2 | 1.90699232530855 | 0.0930076746914495 |
| 7 | 72 | 31.6686249805693 | 40.3313750194307 |
| 8 | 164 | 78.2963371023882 | 85.7036628976118 |
| 9 | 18 | 73.8232675705489 | -55.8232675705489 |
| 10 | 1 | 5.63499147410161 | -4.63499147410161 |
| 11 | 53 | 24.0036854278799 | 28.9963145721201 |
| 12 | 16 | 25.6848186405246 | -9.68481864052458 |
| 13 | 32 | 70.5609298904751 | -38.5609298904751 |
| 14 | 21 | 42.0826030131285 | -21.0826030131285 |
| 15 | 23 | 40.8607347996548 | -17.8607347996548 |
| 16 | 18 | 21.2047129578055 | -3.20471295780554 |
| 17 | 112 | 78.8081665098807 | 33.1918334901193 |
| 18 | 25 | 29.8679640978859 | -4.86796409788595 |
| 19 | 5 | 24.5005100803338 | -19.5005100803338 |
| 20 | 26 | 33.2424004343782 | -7.24240043437816 |
| 21 | 8 | 76.4816204363583 | -68.4816204363583 |
| 22 | 15 | 7.84985802382278 | 7.15014197617722 |
| 23 | 11 | 45.5639723318116 | -34.5639723318116 |
| 24 | 11 | 47.4413212860513 | -36.4413212860513 |
| 25 | 87 | 44.7618476576152 | 42.2381523423848 |
| 26 | 33 | 17.9148214595776 | 15.0851785404224 |
| 27 | 22 | 43.1487015986233 | -21.1487015986233 |
| 28 | 98 | 16.0768834405476 | 81.9231165594524 |
| 29 | 1 | 30.3170714399477 | -29.3170714399477 |
| 30 | 5 | 11.0065255487197 | -6.00652554871973 |
| 31 | 1 | 43.6287703074351 | -42.6287703074351 |
| 32 | 38 | 19.9637616027537 | 18.0362383972463 |
| 33 | 30 | 62.850476331563 | -32.850476331563 |
| 34 | 12 | 24.2865955395189 | -12.2865955395189 |
| 35 | 24 | 30.2896399576883 | -6.28963995768835 |
| 36 | 6 | 21.2599406979421 | -15.2599406979421 |
| 37 | 15 | 31.7719110439307 | -16.7719110439307 |
| 38 | 38 | 56.6136409033879 | -18.6136409033879 |
| 39 | 84 | 22.8141103306564 | 61.1858896693436 |
| 40 | 3 | 56.7373552209179 | -53.7373552209179 |
| 41 | 18 | 29.0981427924206 | -11.0981427924206 |
| 42 | 63 | 20.596653462533 | 42.403346537467 |
| 43 | 239 | 70.2549390853316 | 168.745060914668 |
| 44 | 234 | 53.872515208093 | 180.127484791907 |
| 45 | 6 | 10.8959461872325 | -4.89594618723251 |
| 46 | 76 | 62.5043996592409 | 13.4956003407591 |
| 47 | 25 | 29.6298585829383 | -4.62985858293833 |
| 48 | 8 | 25.9491200994277 | -17.9491200994277 |
| 49 | 23 | 51.5576297721832 | -28.5576297721832 |
| 50 | 16 | 47.631834928515 | -31.6318349285149 |
| 51 | 6 | 43.0176998149659 | -37.0176998149659 |
| 52 | 100 | 88.4503410081366 | 11.5496589918634 |
| 53 | 80 | 55.4241361198319 | 24.5758638801681 |
| 54 | 28 | 35.260450693123 | -7.26045069312298 |
| 55 | 48 | 29.1200038437666 | 18.8799961562334 |
| 56 | 18 | 51.7815262515382 | -33.7815262515382 |
| 57 | 36 | 58.077173239959 | -22.077173239959 |
| 58 | 19 | 19.2560024098364 | -0.256002409836356 |
| 59 | 32 | 33.4743745517874 | -1.47437455178742 |
| 60 | 3 | 14.1317515834508 | -11.1317515834508 |
| 61 | 106 | 87.8180362644665 | 18.1819637355335 |
| 62 | 62 | 27.136577419504 | 34.863422580496 |
| 63 | 23 | 54.6246703024375 | -31.6246703024375 |
| 64 | 2 | 30.2347885013562 | -28.2347885013562 |
| 65 | 26 | 26.9508706003318 | -0.95087060033181 |
| 66 | 20 | 41.3968684316728 | -21.3968684316728 |
| 67 | 38 | 49.4462331720211 | -11.4462331720211 |
| 68 | 19 | 50.8794293632862 | -31.8794293632862 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.402228187916562 | 0.804456375833124 | 0.597771812083438 |
| 9 | 0.551718555319181 | 0.896562889361637 | 0.448281444680819 |
| 10 | 0.448029000249077 | 0.896058000498153 | 0.551970999750923 |
| 11 | 0.325185344682083 | 0.650370689364166 | 0.674814655317917 |
| 12 | 0.371001073833402 | 0.742002147666803 | 0.628998926166598 |
| 13 | 0.297462159627115 | 0.594924319254231 | 0.702537840372885 |
| 14 | 0.208701399039136 | 0.417402798078272 | 0.791298600960864 |
| 15 | 0.141063522161644 | 0.282127044323288 | 0.858936477838356 |
| 16 | 0.104708029031369 | 0.209416058062737 | 0.895291970968631 |
| 17 | 0.0704872727809237 | 0.140974545561847 | 0.929512727219076 |
| 18 | 0.0448454588018341 | 0.0896909176036682 | 0.955154541198166 |
| 19 | 0.0286794695012955 | 0.057358939002591 | 0.971320530498704 |
| 20 | 0.0164240287606038 | 0.0328480575212076 | 0.983575971239396 |
| 21 | 0.0140954698589086 | 0.0281909397178172 | 0.985904530141091 |
| 22 | 0.00810429473443583 | 0.0162085894688717 | 0.991895705265564 |
| 23 | 0.00533940855715554 | 0.0106788171143111 | 0.994660591442844 |
| 24 | 0.00915074415703196 | 0.0183014883140639 | 0.990849255842968 |
| 25 | 0.0151518539314304 | 0.0303037078628609 | 0.98484814606857 |
| 26 | 0.00918919125638745 | 0.0183783825127749 | 0.990810808743613 |
| 27 | 0.00539269531405936 | 0.0107853906281187 | 0.99460730468594 |
| 28 | 0.0377790322198479 | 0.0755580644396959 | 0.962220967780152 |
| 29 | 0.0293471866011496 | 0.0586943732022991 | 0.97065281339885 |
| 30 | 0.0206499639426898 | 0.0412999278853796 | 0.97935003605731 |
| 31 | 0.0204576441573471 | 0.0409152883146941 | 0.979542355842653 |
| 32 | 0.0152953626463168 | 0.0305907252926335 | 0.984704637353683 |
| 33 | 0.016348743442466 | 0.032697486884932 | 0.983651256557534 |
| 34 | 0.0108520217021469 | 0.0217040434042938 | 0.989147978297853 |
| 35 | 0.00677136659574009 | 0.0135427331914802 | 0.99322863340426 |
| 36 | 0.00446015592734237 | 0.00892031185468473 | 0.995539844072658 |
| 37 | 0.00344469890556663 | 0.00688939781113327 | 0.996555301094433 |
| 38 | 0.00448810582227451 | 0.00897621164454901 | 0.995511894177725 |
| 39 | 0.00718677071679281 | 0.0143735414335856 | 0.992813229283207 |
| 40 | 0.0117007998291886 | 0.0234015996583772 | 0.988299200170811 |
| 41 | 0.00734507256854033 | 0.0146901451370807 | 0.99265492743146 |
| 42 | 0.00786706648910035 | 0.0157341329782007 | 0.9921329335109 |
| 43 | 0.511693106242601 | 0.976613787514798 | 0.488306893757399 |
| 44 | 0.999827549207465 | 0.000344901585069963 | 0.000172450792534981 |
| 45 | 0.999621800998252 | 0.000756398003495009 | 0.000378199001747504 |
| 46 | 0.999391861514584 | 0.00121627697083288 | 0.000608138485416441 |
| 47 | 0.998746497077928 | 0.00250700584414426 | 0.00125350292207213 |
| 48 | 0.99749028691504 | 0.00501942616991894 | 0.00250971308495947 |
| 49 | 0.995777739781598 | 0.00844452043680312 | 0.00422226021840156 |
| 50 | 0.99548606186148 | 0.00902787627704063 | 0.00451393813852031 |
| 51 | 0.997358006398727 | 0.00528398720254653 | 0.00264199360127326 |
| 52 | 0.993989135625012 | 0.0120217287499755 | 0.00601086437498773 |
| 53 | 0.99379756537127 | 0.0124048692574619 | 0.00620243462873094 |
| 54 | 0.986118393334615 | 0.0277632133307701 | 0.013881606665385 |
| 55 | 0.980091637178545 | 0.0398167256429096 | 0.0199083628214548 |
| 56 | 0.986422539375865 | 0.0271549212482709 | 0.0135774606241355 |
| 57 | 0.980154128214362 | 0.0396917435712765 | 0.0198458717856383 |
| 58 | 0.959501101227072 | 0.0809977975458569 | 0.0404988987729284 |
| 59 | 0.942990397687858 | 0.114019204624284 | 0.057009602312142 |
| 60 | 0.90775708452388 | 0.184485830952239 | 0.0922429154761197 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 11 | 0.207547169811321 | NOK |
| 5% type I error level | 35 | 0.660377358490566 | NOK |
| 10% type I error level | 40 | 0.754716981132076 | NOK |
