| Multiple Linear Regression - Estimated Regression Equation |
| depression[t] = + 14.1162645133277 + 0.811866671929716course[t] -1.89831225294214gender[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) | 14.1162645133277 | 0.643416 | 21.9396 | 0 | 0 |
| course | 0.811866671929716 | 0.696717 | 1.1653 | 0.245889 | 0.122945 |
| gender | -1.89831225294214 | 0.699071 | -2.7155 | 0.007452 | 0.003726 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.239480547129983 |
| R-squared | 0.0573509324536759 |
| Adjusted R-squared | 0.0438845172030141 |
| F-TEST (value) | 4.25881211786169 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 140 |
| p-value | 0.0160141155797882 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 4.14016393034238 |
| Sum Squared Residuals | 2399.73403181513 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 13 | 14.9281311852574 | -1.92813118525745 |
| 2 | 12 | 14.9281311852574 | -2.92813118525745 |
| 3 | 11 | 14.9281311852574 | -3.92813118525745 |
| 4 | 10 | 13.0298189323153 | -3.02981893231531 |
| 5 | 8 | 13.0298189323153 | -5.02981893231531 |
| 6 | 7 | 14.9281311852574 | -7.92813118525745 |
| 7 | 10 | 13.0298189323153 | -3.02981893231531 |
| 8 | 8 | 13.0298189323153 | -5.02981893231531 |
| 9 | 13 | 13.0298189323153 | -0.0298189323153092 |
| 10 | 11 | 13.0298189323153 | -2.02981893231531 |
| 11 | 8 | 13.0298189323153 | -5.02981893231531 |
| 12 | 9 | 14.9281311852574 | -5.92813118525745 |
| 13 | 12 | 14.9281311852574 | -2.92813118525745 |
| 14 | 11 | 12.2179522603856 | -1.21795226038559 |
| 15 | 9 | 14.9281311852574 | -5.92813118525745 |
| 16 | 8 | 13.0298189323153 | -5.02981893231531 |
| 17 | 9 | 13.0298189323153 | -4.02981893231531 |
| 18 | 8 | 14.9281311852574 | -6.92813118525745 |
| 19 | 11 | 13.0298189323153 | -2.02981893231531 |
| 20 | 10 | 14.9281311852574 | -4.92813118525745 |
| 21 | 15 | 14.9281311852574 | 0.0718688147425521 |
| 22 | 11 | 13.0298189323153 | -2.02981893231531 |
| 23 | 16 | 13.0298189323153 | 2.97018106768469 |
| 24 | 12 | 13.0298189323153 | -1.02981893231531 |
| 25 | 11 | 13.0298189323153 | -2.02981893231531 |
| 26 | 11 | 14.9281311852574 | -3.92813118525745 |
| 27 | 10 | 12.2179522603856 | -2.21795226038559 |
| 28 | 8 | 13.0298189323153 | -5.02981893231531 |
| 29 | 11 | 13.0298189323153 | -2.02981893231531 |
| 30 | 11 | 13.0298189323153 | -2.02981893231531 |
| 31 | 13 | 13.0298189323153 | -0.0298189323153092 |
| 32 | 15 | 12.2179522603856 | 2.78204773961441 |
| 33 | 12 | 14.9281311852574 | -2.92813118525745 |
| 34 | 14 | 12.2179522603856 | 1.78204773961441 |
| 35 | 12 | 13.0298189323153 | -1.02981893231531 |
| 36 | 7 | 13.0298189323153 | -6.02981893231531 |
| 37 | 8 | 13.0298189323153 | -5.02981893231531 |
| 38 | 12 | 14.9281311852574 | -2.92813118525745 |
| 39 | 10 | 12.2179522603856 | -2.21795226038559 |
| 40 | 9 | 13.0298189323153 | -4.02981893231531 |
| 41 | 12 | 12.2179522603856 | -0.217952260385593 |
| 42 | 10 | 14.9281311852574 | -4.92813118525745 |
| 43 | 9 | 12.2179522603856 | -3.21795226038559 |
| 44 | 10 | 13.0298189323153 | -3.02981893231531 |
| 45 | 13 | 12.2179522603856 | 0.782047739614407 |
| 46 | 8 | 14.9281311852574 | -6.92813118525745 |
| 47 | 11 | 14.1162645133277 | -3.11626451332773 |
| 48 | 11 | 12.2179522603856 | -1.21795226038559 |
| 49 | 9 | 13.0298189323153 | -4.02981893231531 |
| 50 | 9 | 13.0298189323153 | -4.02981893231531 |
| 51 | 12 | 14.1162645133277 | -2.11626451332773 |
| 52 | 10 | 14.1162645133277 | -4.11626451332773 |
| 53 | 9 | 14.1162645133277 | -5.11626451332773 |
| 54 | 14 | 12.2179522603856 | 1.78204773961441 |
| 55 | 8 | 12.2179522603856 | -4.21795226038559 |
| 56 | 9 | 14.1162645133277 | -5.11626451332773 |
| 57 | 14 | 14.1162645133277 | -0.116264513327732 |
| 58 | 8 | 12.2179522603856 | -4.21795226038559 |
| 59 | 16 | 12.2179522603856 | 3.78204773961441 |
| 60 | 14 | 12.2179522603856 | 1.78204773961441 |
| 61 | 14 | 14.1162645133277 | -0.116264513327732 |
| 62 | 8 | 12.2179522603856 | -4.21795226038559 |
| 63 | 11 | 12.2179522603856 | -1.21795226038559 |
| 64 | 11 | 14.1162645133277 | -3.11626451332773 |
| 65 | 13 | 12.2179522603856 | 0.782047739614407 |
| 66 | 12 | 12.2179522603856 | -0.217952260385593 |
| 67 | 9 | 12.2179522603856 | -3.21795226038559 |
| 68 | 10 | 14.1162645133277 | -4.11626451332773 |
| 69 | 12 | 12.2179522603856 | -0.217952260385593 |
| 70 | 11 | 12.2179522603856 | -1.21795226038559 |
| 71 | 15 | 14.1162645133277 | 0.883735486672268 |
| 72 | 14 | 12.2179522603856 | 1.78204773961441 |
| 73 | 16 | 13.0298189323153 | 2.97018106768469 |
| 74 | 16 | 13.0298189323153 | 2.97018106768469 |
| 75 | 9 | 13.0298189323153 | -4.02981893231531 |
| 76 | 10 | 13.0298189323153 | -3.02981893231531 |
| 77 | 14 | 13.0298189323153 | 0.97018106768469 |
| 78 | 14 | 12.2179522603856 | 1.78204773961441 |
| 79 | 21 | 14.1162645133277 | 6.88373548667227 |
| 80 | 14 | 14.9281311852574 | -0.928131185257448 |
| 81 | 17 | 13.0298189323153 | 3.97018106768469 |
| 82 | 18 | 14.9281311852574 | 3.07186881474255 |
| 83 | 16 | 13.0298189323153 | 2.97018106768469 |
| 84 | 14 | 12.2179522603856 | 1.78204773961441 |
| 85 | 13 | 14.1162645133277 | -1.11626451332773 |
| 86 | 17 | 13.0298189323153 | 3.97018106768469 |
| 87 | 10 | 13.0298189323153 | -3.02981893231531 |
| 88 | 17 | 14.9281311852574 | 2.07186881474255 |
| 89 | 13 | 13.0298189323153 | -0.0298189323153092 |
| 90 | 18 | 13.0298189323153 | 4.97018106768469 |
| 91 | 14 | 14.9281311852574 | -0.928131185257448 |
| 92 | 14 | 13.0298189323153 | 0.97018106768469 |
| 93 | 15 | 14.9281311852574 | 0.0718688147425521 |
| 94 | 12 | 12.2179522603856 | -0.217952260385593 |
| 95 | 17 | 12.2179522603856 | 4.78204773961441 |
| 96 | 15 | 12.2179522603856 | 2.78204773961441 |
| 97 | 12 | 14.1162645133277 | -2.11626451332773 |
| 98 | 13 | 12.2179522603856 | 0.782047739614407 |
| 99 | 14 | 14.1162645133277 | -0.116264513327732 |
| 100 | 18 | 12.2179522603856 | 5.78204773961441 |
| 101 | 16 | 13.0298189323153 | 2.97018106768469 |
| 102 | 21 | 14.9281311852574 | 6.07186881474255 |
| 103 | 20 | 13.0298189323153 | 6.97018106768469 |
| 104 | 10 | 14.1162645133277 | -4.11626451332773 |
| 105 | 16 | 14.1162645133277 | 1.88373548667227 |
| 106 | 19 | 14.9281311852574 | 4.07186881474255 |
| 107 | 12 | 13.0298189323153 | -1.02981893231531 |
| 108 | 13 | 12.2179522603856 | 0.782047739614407 |
| 109 | 20 | 14.1162645133277 | 5.88373548667227 |
| 110 | 14 | 14.1162645133277 | -0.116264513327732 |
| 111 | 10 | 12.2179522603856 | -2.21795226038559 |
| 112 | 13 | 14.1162645133277 | -1.11626451332773 |
| 113 | 11 | 14.1162645133277 | -3.11626451332773 |
| 114 | 13 | 12.2179522603856 | 0.782047739614407 |
| 115 | 13 | 12.2179522603856 | 0.782047739614407 |
| 116 | 11 | 12.2179522603856 | -1.21795226038559 |
| 117 | 15 | 14.1162645133277 | 0.883735486672268 |
| 118 | 14 | 14.1162645133277 | -0.116264513327732 |
| 119 | 10 | 14.1162645133277 | -4.11626451332773 |
| 120 | 24 | 14.9281311852574 | 9.07186881474255 |
| 121 | 23 | 13.0298189323153 | 9.97018106768469 |
| 122 | 19 | 14.9281311852574 | 4.07186881474255 |
| 123 | 19 | 14.9281311852574 | 4.07186881474255 |
| 124 | 22 | 13.0298189323153 | 8.97018106768469 |
| 125 | 16 | 13.0298189323153 | 2.97018106768469 |
| 126 | 16 | 14.1162645133277 | 1.88373548667227 |
| 127 | 20 | 13.0298189323153 | 6.97018106768469 |
| 128 | 11 | 14.9281311852574 | -3.92813118525745 |
| 129 | 20 | 13.0298189323153 | 6.97018106768469 |
| 130 | 15 | 14.9281311852574 | 0.0718688147425521 |
| 131 | 21 | 14.9281311852574 | 6.07186881474255 |
| 132 | 17 | 14.9281311852574 | 2.07186881474255 |
| 133 | 25 | 14.1162645133277 | 10.8837354866723 |
| 134 | 17 | 12.2179522603856 | 4.78204773961441 |
| 135 | 16 | 14.1162645133277 | 1.88373548667227 |
| 136 | 17 | 14.1162645133277 | 2.88373548667227 |
| 137 | 15 | 14.1162645133277 | 0.883735486672268 |
| 138 | 15 | 14.1162645133277 | 0.883735486672268 |
| 139 | 26 | 14.9281311852574 | 11.0718688147426 |
| 140 | 25 | 14.9281311852574 | 10.0718688147426 |
| 141 | 20 | 14.9281311852574 | 5.07186881474255 |
| 142 | 20 | 13.0298189323153 | 6.97018106768469 |
| 143 | 26 | 14.9281311852574 | 11.0718688147426 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.28135017797632 | 0.56270035595264 | 0.71864982202368 |
| 7 | 0.153199133526224 | 0.306398267052448 | 0.846800866473776 |
| 8 | 0.0842822774092694 | 0.168564554818539 | 0.915717722590731 |
| 9 | 0.102229295534781 | 0.204458591069562 | 0.897770704465219 |
| 10 | 0.0582226250613379 | 0.116445250122676 | 0.941777374938662 |
| 11 | 0.0392403538357171 | 0.0784807076714342 | 0.960759646164283 |
| 12 | 0.0252646019847315 | 0.050529203969463 | 0.974735398015269 |
| 13 | 0.015139559586149 | 0.0302791191722981 | 0.984860440413851 |
| 14 | 0.00726532464696038 | 0.0145306492939208 | 0.99273467535304 |
| 15 | 0.00468551282408079 | 0.00937102564816158 | 0.995314487175919 |
| 16 | 0.00302039134681588 | 0.00604078269363176 | 0.996979608653184 |
| 17 | 0.00150103424330641 | 0.00300206848661283 | 0.998498965756694 |
| 18 | 0.00141629187572366 | 0.00283258375144733 | 0.998583708124276 |
| 19 | 0.00083953278160994 | 0.00167906556321988 | 0.99916046721839 |
| 20 | 0.000435121262313287 | 0.000870242524626574 | 0.999564878737687 |
| 21 | 0.00162549552592395 | 0.00325099105184789 | 0.998374504474076 |
| 22 | 0.000978120671704186 | 0.00195624134340837 | 0.999021879328296 |
| 23 | 0.00607964563467608 | 0.0121592912693522 | 0.993920354365324 |
| 24 | 0.00413412999551967 | 0.00826825999103934 | 0.99586587000448 |
| 25 | 0.00246988164075948 | 0.00493976328151896 | 0.997530118359241 |
| 26 | 0.00156417497485796 | 0.00312834994971593 | 0.998435825025142 |
| 27 | 0.000892260610685113 | 0.00178452122137023 | 0.999107739389315 |
| 28 | 0.000838667050272469 | 0.00167733410054494 | 0.999161332949728 |
| 29 | 0.000496532580211195 | 0.000993065160422389 | 0.999503467419789 |
| 30 | 0.000290533972498628 | 0.000581067944997257 | 0.999709466027501 |
| 31 | 0.000248625386581881 | 0.000497250773163762 | 0.999751374613418 |
| 32 | 0.000344240989801452 | 0.000688481979602904 | 0.999655759010199 |
| 33 | 0.00023843136424826 | 0.00047686272849652 | 0.999761568635752 |
| 34 | 0.000159242555777385 | 0.00031848511155477 | 0.999840757444223 |
| 35 | 0.000102526256045098 | 0.000205052512090195 | 0.999897473743955 |
| 36 | 0.000185056625208756 | 0.000370113250417512 | 0.999814943374791 |
| 37 | 0.000202819783005491 | 0.000405639566010982 | 0.999797180216994 |
| 38 | 0.000149687370961788 | 0.000299374741923576 | 0.999850312629038 |
| 39 | 0.0001168349645478 | 0.000233669929095599 | 0.999883165035452 |
| 40 | 9.7526126568152e-05 | 0.000195052253136304 | 0.999902473873432 |
| 41 | 5.30405728900335e-05 | 0.000106081145780067 | 0.99994695942711 |
| 42 | 4.86198565573048e-05 | 9.72397131146096e-05 | 0.999951380143443 |
| 43 | 4.84161774014621e-05 | 9.68323548029242e-05 | 0.999951583822599 |
| 44 | 3.5749233068222e-05 | 7.14984661364441e-05 | 0.999964250766932 |
| 45 | 2.18856881241196e-05 | 4.37713762482393e-05 | 0.999978114311876 |
| 46 | 5.15529880132016e-05 | 0.000103105976026403 | 0.999948447011987 |
| 47 | 3.42312823013647e-05 | 6.84625646027293e-05 | 0.999965768717699 |
| 48 | 1.94787286725184e-05 | 3.89574573450368e-05 | 0.999980521271328 |
| 49 | 2.06758107410037e-05 | 4.13516214820075e-05 | 0.999979324189259 |
| 50 | 2.35476938409612e-05 | 4.70953876819224e-05 | 0.999976452306159 |
| 51 | 1.37667560855809e-05 | 2.75335121711617e-05 | 0.999986233243914 |
| 52 | 1.20929506389917e-05 | 2.41859012779833e-05 | 0.999987907049361 |
| 53 | 1.54732656968273e-05 | 3.09465313936545e-05 | 0.999984526734303 |
| 54 | 1.41567365914812e-05 | 2.83134731829625e-05 | 0.999985843263409 |
| 55 | 2.1806638338627e-05 | 4.36132766772541e-05 | 0.999978193361661 |
| 56 | 2.65084669143855e-05 | 5.30169338287709e-05 | 0.999973491533086 |
| 57 | 2.44591264688058e-05 | 4.89182529376116e-05 | 0.999975540873531 |
| 58 | 3.46974654726784e-05 | 6.93949309453568e-05 | 0.999965302534527 |
| 59 | 8.59526049477077e-05 | 0.000171905209895415 | 0.999914047395052 |
| 60 | 7.44943784432747e-05 | 0.000148988756886549 | 0.999925505621557 |
| 61 | 5.99429396646254e-05 | 0.000119885879329251 | 0.999940057060335 |
| 62 | 9.02507125363851e-05 | 0.00018050142507277 | 0.999909749287464 |
| 63 | 5.70264198821402e-05 | 0.00011405283976428 | 0.999942973580118 |
| 64 | 4.40066574315574e-05 | 8.80133148631148e-05 | 0.999955993342568 |
| 65 | 2.96232785471552e-05 | 5.92465570943104e-05 | 0.999970376721453 |
| 66 | 1.77435830627413e-05 | 3.54871661254826e-05 | 0.999982256416937 |
| 67 | 1.81681156367316e-05 | 3.63362312734632e-05 | 0.999981831884363 |
| 68 | 1.89916683664263e-05 | 3.79833367328527e-05 | 0.999981008331634 |
| 69 | 1.15205543560612e-05 | 2.30411087121223e-05 | 0.999988479445644 |
| 70 | 7.26101886152743e-06 | 1.45220377230549e-05 | 0.999992738981138 |
| 71 | 7.85556975073099e-06 | 1.5711139501462e-05 | 0.999992144430249 |
| 72 | 6.3803729246581e-06 | 1.27607458493162e-05 | 0.999993619627075 |
| 73 | 1.8568693031067e-05 | 3.7137386062134e-05 | 0.999981431306969 |
| 74 | 4.20736578703657e-05 | 8.41473157407313e-05 | 0.99995792634213 |
| 75 | 7.7556975292888e-05 | 0.000155113950585776 | 0.999922443024707 |
| 76 | 0.000115257336261461 | 0.000230514672522922 | 0.999884742663739 |
| 77 | 0.000136258511376405 | 0.000272517022752811 | 0.999863741488624 |
| 78 | 0.000105007799738656 | 0.000210015599477311 | 0.999894992200261 |
| 79 | 0.00179398827930308 | 0.00358797655860615 | 0.998206011720697 |
| 80 | 0.00230168248688706 | 0.00460336497377412 | 0.997698317513113 |
| 81 | 0.00415261986492681 | 0.00830523972985362 | 0.995847380135073 |
| 82 | 0.0077824479729687 | 0.0155648959459374 | 0.992217552027031 |
| 83 | 0.00938623421996456 | 0.0187724684399291 | 0.990613765780035 |
| 84 | 0.00735925620686613 | 0.0147185124137323 | 0.992640743793134 |
| 85 | 0.00560774353538115 | 0.0112154870707623 | 0.994392256464619 |
| 86 | 0.00760050585689084 | 0.0152010117137817 | 0.992399494143109 |
| 87 | 0.0133501800465316 | 0.0267003600930633 | 0.986649819953468 |
| 88 | 0.0167569300020293 | 0.0335138600040585 | 0.983243069997971 |
| 89 | 0.0190725339861227 | 0.0381450679722455 | 0.980927466013877 |
| 90 | 0.0264406255231652 | 0.0528812510463303 | 0.973559374476835 |
| 91 | 0.0327685997058733 | 0.0655371994117467 | 0.967231400294127 |
| 92 | 0.0363880247611242 | 0.0727760495222485 | 0.963611975238876 |
| 93 | 0.0442110374643656 | 0.0884220749287312 | 0.955788962535634 |
| 94 | 0.0352510582909153 | 0.0705021165818307 | 0.964748941709085 |
| 95 | 0.0418807207191881 | 0.0837614414383762 | 0.958119279280812 |
| 96 | 0.0361048332678508 | 0.0722096665357017 | 0.963895166732149 |
| 97 | 0.0311329420811677 | 0.0622658841623355 | 0.968867057918832 |
| 98 | 0.0235006445050387 | 0.0470012890100774 | 0.976499355494961 |
| 99 | 0.0180625786833697 | 0.0361251573667394 | 0.98193742131663 |
| 100 | 0.0277123307786551 | 0.0554246615573101 | 0.972287669221345 |
| 101 | 0.0285700466183105 | 0.0571400932366209 | 0.97142995338169 |
| 102 | 0.0468925425619037 | 0.0937850851238074 | 0.953107457438096 |
| 103 | 0.0637155917785406 | 0.127431183557081 | 0.936284408221459 |
| 104 | 0.0740155751129299 | 0.14803115022586 | 0.92598442488707 |
| 105 | 0.0624741176491951 | 0.12494823529839 | 0.937525882350805 |
| 106 | 0.0677134724565658 | 0.135426944913132 | 0.932286527543434 |
| 107 | 0.102366920252144 | 0.204733840504287 | 0.897633079747856 |
| 108 | 0.0805607404691042 | 0.161121480938208 | 0.919439259530896 |
| 109 | 0.120999773055338 | 0.241999546110676 | 0.879000226944662 |
| 110 | 0.0959893654106142 | 0.191978730821228 | 0.904010634589386 |
| 111 | 0.0954436979683004 | 0.190887395936601 | 0.9045563020317 |
| 112 | 0.077920119197663 | 0.155840238395326 | 0.922079880802337 |
| 113 | 0.0810953108482485 | 0.162190621696497 | 0.918904689151751 |
| 114 | 0.0637376028627434 | 0.127475205725487 | 0.936262397137257 |
| 115 | 0.0501479999431132 | 0.100295999886226 | 0.949852000056887 |
| 116 | 0.0537134214078251 | 0.10742684281565 | 0.946286578592175 |
| 117 | 0.0407093580511363 | 0.0814187161022727 | 0.959290641948864 |
| 118 | 0.032057591582671 | 0.064115183165342 | 0.967942408417329 |
| 119 | 0.0611572956832696 | 0.122314591366539 | 0.93884270431673 |
| 120 | 0.111284229763867 | 0.222568459527733 | 0.888715770236133 |
| 121 | 0.156813981995285 | 0.31362796399057 | 0.843186018004715 |
| 122 | 0.136681616234708 | 0.273363232469416 | 0.863318383765292 |
| 123 | 0.116754126615601 | 0.233508253231202 | 0.883245873384399 |
| 124 | 0.130944830317677 | 0.261889660635354 | 0.869055169682323 |
| 125 | 0.122619006753629 | 0.245238013507258 | 0.877380993246371 |
| 126 | 0.093927926337057 | 0.187855852674114 | 0.906072073662943 |
| 127 | 0.078689663659211 | 0.157379327318422 | 0.921310336340789 |
| 128 | 0.289952870043817 | 0.579905740087634 | 0.710047129956183 |
| 129 | 0.244859902343164 | 0.489719804686327 | 0.755140097656836 |
| 130 | 0.395502872040642 | 0.791005744081284 | 0.604497127959358 |
| 131 | 0.342562685470129 | 0.685125370940258 | 0.657437314529871 |
| 132 | 0.496790869968748 | 0.993581739937496 | 0.503209130031252 |
| 133 | 0.908475785830474 | 0.183048428339052 | 0.0915242141695259 |
| 134 | 0.929481293181324 | 0.141037413637353 | 0.0705187068186765 |
| 135 | 0.864620784296192 | 0.270758431407617 | 0.135379215703808 |
| 136 | 0.790547774562008 | 0.418904450875985 | 0.209452225437992 |
| 137 | 0.635614721903946 | 0.728770556192109 | 0.364385278096054 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 66 | 0.5 | NOK |
| 5% type I error level | 79 | 0.598484848484849 | NOK |
| 10% type I error level | 94 | 0.712121212121212 | NOK |
