| Multiple Linear Regression - Estimated Regression Equation |
| correctanalysis[t] = + 1.13830971284411 + 0.00188134144911158Uselimit[t] + 0.151605961889671treatment4[t] + 0.293316929440121usedstats[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) | 1.13830971284411 | 0.168118 | 6.7709 | 0 | 0 |
| Uselimit | 0.00188134144911158 | 0.066339 | 0.0284 | 0.977444 | 0.488722 |
| treatment4 | 0.151605961889671 | 0.068498 | 2.2133 | 0.029656 | 0.014828 |
| usedstats | 0.293316929440121 | 0.062393 | 4.7011 | 1e-05 | 5e-06 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.537264590863067 |
| R-squared | 0.288653240595259 |
| Adjusted R-squared | 0.262628359153622 |
| F-TEST (value) | 11.0914334515832 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 82 |
| p-value | 3.47168610426163e-06 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.26439372536397 |
| Sum Squared Residuals | 5.73213144497076 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 2 | 1.87843087506313 | 0.121569124936871 |
| 2 | 2 | 2.03191817840191 | -0.0319181784019128 |
| 3 | 2 | 2.03191817840191 | -0.0319181784019128 |
| 4 | 2 | 2.03191817840191 | -0.0319181784019132 |
| 5 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 6 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 7 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 8 | 2 | 1.88031221651224 | 0.119687783487758 |
| 9 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 10 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 11 | 2 | 1.87843087506313 | 0.12156912493687 |
| 12 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 13 | 2 | 1.73860124896179 | 0.261398751038209 |
| 14 | 2 | 1.87843087506313 | 0.12156912493687 |
| 15 | 2 | 1.73860124896179 | 0.261398751038209 |
| 16 | 2 | 1.58699528707212 | 0.413004712927879 |
| 17 | 1 | 1.58511394562301 | -0.585113945623009 |
| 18 | 2 | 1.87843087506313 | 0.12156912493687 |
| 19 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 20 | 1 | 1.58699528707212 | -0.586995287072121 |
| 21 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 22 | 2 | 1.73671990751268 | 0.26328009248732 |
| 23 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 24 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 25 | 2 | 1.58699528707212 | 0.413004712927879 |
| 26 | 2 | 1.73860124896179 | 0.261398751038209 |
| 27 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 28 | 2 | 1.73860124896179 | 0.261398751038209 |
| 29 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 30 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 31 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 32 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 33 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 34 | 2 | 1.88031221651224 | 0.119687783487758 |
| 35 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 36 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 37 | 2 | 1.58511394562301 | 0.414886054376991 |
| 38 | 2 | 1.73860124896179 | 0.261398751038209 |
| 39 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 40 | 2 | 1.88031221651224 | 0.119687783487758 |
| 41 | 1 | 1.73860124896179 | -0.738601248961791 |
| 42 | 2 | 1.73860124896179 | 0.261398751038209 |
| 43 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 44 | 2 | 1.87843087506313 | 0.12156912493687 |
| 45 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 46 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 47 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 48 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 49 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 50 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 51 | 2 | 1.58699528707212 | 0.413004712927879 |
| 52 | 1 | 1.58511394562301 | -0.585113945623009 |
| 53 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 54 | 1 | 1.73860124896179 | -0.738601248961791 |
| 55 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 56 | 2 | 1.58699528707212 | 0.413004712927879 |
| 57 | 2 | 1.73860124896179 | 0.261398751038209 |
| 58 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 59 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 60 | 1 | 1.58511394562301 | -0.585113945623009 |
| 61 | 2 | 1.87843087506313 | 0.12156912493687 |
| 62 | 2 | 1.73860124896179 | 0.261398751038209 |
| 63 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 64 | 2 | 1.87843087506313 | 0.12156912493687 |
| 65 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 66 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 67 | 1 | 1.58699528707212 | -0.586995287072121 |
| 68 | 2 | 2.0300368369528 | -0.0300368369528014 |
| 69 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 70 | 2 | 1.73860124896179 | 0.261398751038209 |
| 71 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 72 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 73 | 2 | 1.73860124896179 | 0.261398751038209 |
| 74 | 2 | 1.73671990751268 | 0.26328009248732 |
| 75 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 76 | 2 | 1.88031221651224 | 0.119687783487758 |
| 77 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 78 | 2 | 1.73860124896179 | 0.261398751038209 |
| 79 | 1 | 1.58699528707212 | -0.586995287072121 |
| 80 | 2 | 1.88031221651224 | 0.119687783487758 |
| 81 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 82 | 2 | 1.73671990751268 | 0.26328009248732 |
| 83 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 84 | 1 | 1.73860124896179 | -0.738601248961791 |
| 85 | 2 | 2.03191817840191 | -0.0319181784019129 |
| 86 | 2 | 2.0300368369528 | -0.0300368369528014 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 1.17685041539137e-94 | 2.35370083078273e-94 | 1 |
| 8 | 7.57744318128772e-61 | 1.51548863625754e-60 | 1 |
| 9 | 7.56887347856676e-78 | 1.51377469571335e-77 | 1 |
| 10 | 4.21113535731677e-93 | 8.42227071463354e-93 | 1 |
| 11 | 5.59062290389188e-113 | 1.11812458077838e-112 | 1 |
| 12 | 1.78497400451293e-120 | 3.56994800902586e-120 | 1 |
| 13 | 4.07378948858292e-154 | 8.14757897716584e-154 | 1 |
| 14 | 5.10770363916671e-149 | 1.02154072783334e-148 | 1 |
| 15 | 4.84353837873363e-164 | 9.68707675746727e-164 | 1 |
| 16 | 0 | 0 | 1 |
| 17 | 0.15401567706679 | 0.30803135413358 | 0.84598432293321 |
| 18 | 0.116810573995405 | 0.233621147990809 | 0.883189426004595 |
| 19 | 0.0814009131481465 | 0.162801826296293 | 0.918599086851853 |
| 20 | 0.400343982043793 | 0.800687964087586 | 0.599656017956207 |
| 21 | 0.324735376995721 | 0.649470753991442 | 0.675264623004279 |
| 22 | 0.333254892125496 | 0.666509784250992 | 0.666745107874504 |
| 23 | 0.268144972895377 | 0.536289945790754 | 0.731855027104623 |
| 24 | 0.211110350827805 | 0.42222070165561 | 0.788889649172195 |
| 25 | 0.284311592040276 | 0.568623184080551 | 0.715688407959724 |
| 26 | 0.260403067953095 | 0.52080613590619 | 0.739596932046905 |
| 27 | 0.205323921687326 | 0.410647843374652 | 0.794676078312674 |
| 28 | 0.184358897487706 | 0.368717794975412 | 0.815641102512294 |
| 29 | 0.142360234756933 | 0.284720469513867 | 0.857639765243067 |
| 30 | 0.107423897432874 | 0.214847794865748 | 0.892576102567126 |
| 31 | 0.0792046994611035 | 0.158409398922207 | 0.920795300538897 |
| 32 | 0.0567224958045513 | 0.113444991609103 | 0.943277504195449 |
| 33 | 0.0397225613899139 | 0.0794451227798277 | 0.960277438610086 |
| 34 | 0.0293794429606727 | 0.0587588859213454 | 0.970620557039327 |
| 35 | 0.0199333617823531 | 0.0398667235647062 | 0.980066638217647 |
| 36 | 0.0132088953823443 | 0.0264177907646886 | 0.986791104617656 |
| 37 | 0.020618122358704 | 0.0412362447174079 | 0.979381877641296 |
| 38 | 0.0180631370991011 | 0.0361262741982023 | 0.981936862900899 |
| 39 | 0.0119454414838285 | 0.023890882967657 | 0.988054558516172 |
| 40 | 0.00847254330908043 | 0.0169450866181609 | 0.99152745669092 |
| 41 | 0.155928786931263 | 0.311857573862526 | 0.844071213068737 |
| 42 | 0.151136473207095 | 0.302272946414189 | 0.848863526792905 |
| 43 | 0.116778210071473 | 0.233556420142946 | 0.883221789928527 |
| 44 | 0.0940685666407935 | 0.188137133281587 | 0.905931433359207 |
| 45 | 0.0699434559545833 | 0.139886911909167 | 0.930056544045417 |
| 46 | 0.0508903881784686 | 0.101780776356937 | 0.949109611821531 |
| 47 | 0.0362197990435956 | 0.0724395980871912 | 0.963780200956404 |
| 48 | 0.0252070201084476 | 0.0504140402168952 | 0.974792979891552 |
| 49 | 0.0171479899919487 | 0.0342959799838974 | 0.982852010008051 |
| 50 | 0.0113993405433847 | 0.0227986810867693 | 0.988600659456615 |
| 51 | 0.0229362261803708 | 0.0458724523607416 | 0.977063773819629 |
| 52 | 0.0877369599941413 | 0.175473919988283 | 0.912263040005859 |
| 53 | 0.0647074518054736 | 0.129414903610947 | 0.935292548194526 |
| 54 | 0.320153804034424 | 0.640307608068849 | 0.679846195965576 |
| 55 | 0.263815085309734 | 0.527630170619468 | 0.736184914690266 |
| 56 | 0.438194020365272 | 0.876388040730544 | 0.561805979634728 |
| 57 | 0.453101097458159 | 0.906202194916317 | 0.546898902541841 |
| 58 | 0.387294005186468 | 0.774588010372936 | 0.612705994813532 |
| 59 | 0.324320873826298 | 0.648641747652596 | 0.675679126173702 |
| 60 | 0.533361530521714 | 0.933276938956572 | 0.466638469478286 |
| 61 | 0.474441924150269 | 0.948883848300539 | 0.525558075849731 |
| 62 | 0.497699493062194 | 0.995398986124389 | 0.502300506937806 |
| 63 | 0.42436291018486 | 0.84872582036972 | 0.57563708981514 |
| 64 | 0.36872068646964 | 0.737441372939279 | 0.63127931353036 |
| 65 | 0.299821699303328 | 0.599643398606656 | 0.700178300696672 |
| 66 | 0.236652131810001 | 0.473304263620001 | 0.763347868189999 |
| 67 | 0.362086612381507 | 0.724173224763013 | 0.637913387618493 |
| 68 | 0.313292632500058 | 0.626585265000116 | 0.686707367499942 |
| 69 | 0.243464688877126 | 0.486929377754253 | 0.756535311122874 |
| 70 | 0.267645334032231 | 0.535290668064463 | 0.732354665967769 |
| 71 | 0.199813800962252 | 0.399627601924504 | 0.800186199037748 |
| 72 | 0.142227971511404 | 0.284455943022807 | 0.857772028488596 |
| 73 | 0.203890146488688 | 0.407780292977375 | 0.796109853511312 |
| 74 | 0.17611800683896 | 0.35223601367792 | 0.82388199316104 |
| 75 | 0.11624245179254 | 0.232484903585079 | 0.88375754820746 |
| 76 | 0.0858935692777476 | 0.171787138555495 | 0.914106430722252 |
| 77 | 0.0483947661854137 | 0.0967895323708274 | 0.951605233814586 |
| 78 | 0.239516107578102 | 0.479032215156204 | 0.760483892421898 |
| 79 | 0.227764730251615 | 0.455529460503231 | 0.772235269748385 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 10 | 0.136986301369863 | NOK |
| 5% type I error level | 19 | 0.26027397260274 | NOK |
| 10% type I error level | 24 | 0.328767123287671 | NOK |
