| Multiple Linear Regression - Estimated Regression Equation |
| firearmsuicide[t] = + 1.75219418227066 + 3.06470349276860firearmhomicide[t] -0.00947626841170947t + 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) | 1.75219418227066 | 0.171696 | 10.2052 | 0 | 0 |
| firearmhomicide | 3.06470349276860 | 0.294062 | 10.422 | 0 | 0 |
| t | -0.00947626841170947 | 0.001709 | -5.5434 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.791646276919036 |
| R-squared | 0.626703827759771 |
| Adjusted R-squared | 0.618122306558846 |
| F-TEST (value) | 73.0294563267214 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 87 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.420693121594387 |
| Sum Squared Residuals | 15.3974951224442 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 4.031636 | 3.34097672179593 | 0.690659278204068 |
| 2 | 3.702076 | 3.03521472675453 | 0.666861273245471 |
| 3 | 3.056176 | 3.02635967374081 | 0.0298163262591941 |
| 4 | 3.280707 | 3.17674661421134 | 0.103960385788663 |
| 5 | 2.984728 | 4.24245230393855 | -1.25772430393855 |
| 6 | 3.693712 | 3.58202504543371 | 0.111686954566287 |
| 7 | 3.226317 | 2.80946335083196 | 0.416853649168038 |
| 8 | 2.190349 | 2.99692891298010 | -0.806579912980103 |
| 9 | 2.599515 | 2.52817740502349 | 0.0713375949765116 |
| 10 | 3.080288 | 3.08136782612942 | -0.00107982612942403 |
| 11 | 2.929672 | 2.47357133364660 | 0.456100666353404 |
| 12 | 2.922548 | 3.40958612684823 | -0.487038126848229 |
| 13 | 3.234943 | 3.36397761719748 | -0.129034617197476 |
| 14 | 2.983081 | 3.17565536646932 | -0.192574366469318 |
| 15 | 3.284389 | 3.91077670042752 | -0.626387700427523 |
| 16 | 3.806511 | 3.68714508134813 | 0.11936591865187 |
| 17 | 3.784579 | 3.9389948538834 | -0.154415853883402 |
| 18 | 2.645654 | 2.97957757438685 | -0.33392357438685 |
| 19 | 3.092081 | 3.09760002009235 | -0.00551902009234805 |
| 20 | 3.204859 | 2.84778265495969 | 0.357076345040308 |
| 21 | 3.107225 | 3.42128685022675 | -0.314061850226745 |
| 22 | 3.466909 | 2.94531857848536 | 0.521590421514641 |
| 23 | 2.984404 | 3.28279984425278 | -0.298395844252777 |
| 24 | 3.218072 | 2.59097285964243 | 0.627099140357574 |
| 25 | 2.82731 | 2.70285793013330 | 0.124452069866695 |
| 26 | 3.182049 | 3.29078186180418 | -0.108732861804184 |
| 27 | 2.236319 | 2.22911565379700 | 0.0072033462030029 |
| 28 | 2.033218 | 2.21241036278655 | -0.179192362786545 |
| 29 | 1.644804 | 2.2822219578473 | -0.6374179578473 |
| 30 | 1.627971 | 2.76762665415948 | -1.13965565415948 |
| 31 | 1.677559 | 2.57788942982871 | -0.90033042982871 |
| 32 | 2.330828 | 2.59844970740893 | -0.267621707408928 |
| 33 | 2.493615 | 2.69295821556616 | -0.199343215566159 |
| 34 | 2.257172 | 2.62268435926491 | -0.365512359264906 |
| 35 | 2.655517 | 2.1568535137369 | 0.498663486263101 |
| 36 | 2.298655 | 1.89818191374329 | 0.400473086256715 |
| 37 | 2.600402 | 2.74801080885093 | -0.147608808850930 |
| 38 | 3.04523 | 2.95346464814988 | 0.0917653518501233 |
| 39 | 2.790583 | 2.52988074026969 | 0.260702259730314 |
| 40 | 3.227052 | 2.70317204876377 | 0.523879951236228 |
| 41 | 2.967479 | 2.62956042388855 | 0.337918576111455 |
| 42 | 2.938817 | 2.3621498218853 | 0.576667178114699 |
| 43 | 3.277961 | 2.93426846470327 | 0.343692535296725 |
| 44 | 3.423985 | 3.01668916934433 | 0.407295830655673 |
| 45 | 3.072646 | 3.00188246214765 | 0.070763537852355 |
| 46 | 2.754253 | 2.83744957514562 | -0.0831965751456179 |
| 47 | 2.910431 | 2.93383889183636 | -0.0234078918363603 |
| 48 | 3.174369 | 3.12321039308665 | 0.0511586069133454 |
| 49 | 3.068387 | 2.99507585425298 | 0.0733111457470219 |
| 50 | 3.089543 | 3.03486193625438 | 0.0546810637456193 |
| 51 | 2.906654 | 2.80291608306946 | 0.103737916930545 |
| 52 | 2.931161 | 2.92395113230834 | 0.00720986769165596 |
| 53 | 3.02566 | 2.96424197097501 | 0.0614180290249946 |
| 54 | 2.939551 | 3.35870465584277 | -0.419153655842771 |
| 55 | 2.691019 | 2.58053700561205 | 0.110481994387952 |
| 56 | 3.19812 | 2.9612517370816 | 0.236868262918397 |
| 57 | 3.07639 | 3.04140333525661 | 0.0349866647433906 |
| 58 | 2.863873 | 2.653872292795 | 0.210000707205001 |
| 59 | 3.013802 | 3.00860477452321 | 0.00519722547678875 |
| 60 | 3.053364 | 3.01494881201152 | 0.0384151879884777 |
| 61 | 2.864753 | 3.11536392321037 | -0.250610923210366 |
| 62 | 3.057062 | 3.02099169040478 | 0.0360703095952252 |
| 63 | 2.959365 | 3.31461214566509 | -0.355247145665086 |
| 64 | 3.252258 | 2.61838363389842 | 0.633874366101579 |
| 65 | 3.602988 | 3.28976097402914 | 0.313227025970865 |
| 66 | 3.497704 | 3.27481635517528 | 0.222887644824722 |
| 67 | 3.296867 | 2.96556213050387 | 0.331304869496132 |
| 68 | 3.602417 | 3.24725261447788 | 0.355164385522121 |
| 69 | 3.3001 | 2.92997009253681 | 0.370129907463189 |
| 70 | 3.40193 | 3.54779602971628 | -0.145866029716284 |
| 71 | 3.502591 | 2.92344462190622 | 0.57914637809378 |
| 72 | 3.402348 | 2.90661858157815 | 0.495729418421847 |
| 73 | 3.498551 | 2.90710198657724 | 0.591449013422757 |
| 74 | 3.199823 | 3.2013378342989 | -0.00151483429890138 |
| 75 | 2.700064 | 2.57251226585974 | 0.127551734140256 |
| 76 | 2.801034 | 2.55850146216013 | 0.242532537839866 |
| 77 | 2.898628 | 2.54742296676240 | 0.351205033237595 |
| 78 | 2.800854 | 2.85242818255765 | -0.0515741825576523 |
| 79 | 2.399942 | 2.02703958091035 | 0.37290241908965 |
| 80 | 2.402724 | 1.83516074177883 | 0.567563258221167 |
| 81 | 2.202331 | 1.96821096106112 | 0.234120038938878 |
| 82 | 2.102594 | 2.63212452230555 | -0.529530522305548 |
| 83 | 1.798293 | 2.20693287097305 | -0.408639870973051 |
| 84 | 1.202484 | 1.84064911135646 | -0.638165111356455 |
| 85 | 1.400201 | 1.95069045622608 | -0.550489456226085 |
| 86 | 1.200832 | 1.89728595383043 | -0.696453953830428 |
| 87 | 1.298083 | 1.71709221617614 | -0.419009216176139 |
| 88 | 1.099742 | 1.57363446634897 | -0.473892466348969 |
| 89 | 1.001377 | 1.47940995225173 | -0.47803295225173 |
| 90 | 0.8361743 | 1.38744933462460 | -0.551275034624598 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.758002406396321 | 0.483995187207357 | 0.241997593603679 |
| 7 | 0.626232764363037 | 0.747534471273927 | 0.373767235636963 |
| 8 | 0.796458059535445 | 0.40708388092911 | 0.203541940464555 |
| 9 | 0.70089117938158 | 0.59821764123684 | 0.29910882061842 |
| 10 | 0.742851097892048 | 0.514297804215904 | 0.257148902107952 |
| 11 | 0.726138860471718 | 0.547722279056564 | 0.273861139528282 |
| 12 | 0.687806562710301 | 0.624386874579398 | 0.312193437289699 |
| 13 | 0.713526976232628 | 0.572946047534744 | 0.286473023767372 |
| 14 | 0.653705650005102 | 0.692588699989796 | 0.346294349994898 |
| 15 | 0.654615337986054 | 0.690769324027891 | 0.345384662013946 |
| 16 | 0.777618949535223 | 0.444762100929553 | 0.222381050464776 |
| 17 | 0.784061891352471 | 0.431876217295058 | 0.215938108647529 |
| 18 | 0.750289765935845 | 0.499420468128311 | 0.249710234064155 |
| 19 | 0.693775114960323 | 0.612449770079354 | 0.306224885039677 |
| 20 | 0.673625191502776 | 0.652749616994447 | 0.326374808497224 |
| 21 | 0.623287557673667 | 0.753424884652665 | 0.376712442326333 |
| 22 | 0.657129556221184 | 0.685740887557631 | 0.342870443778816 |
| 23 | 0.612974447550693 | 0.774051104898614 | 0.387025552449307 |
| 24 | 0.626942230655378 | 0.746115538689244 | 0.373057769344622 |
| 25 | 0.564515147018902 | 0.870969705962196 | 0.435484852981098 |
| 26 | 0.500880564467734 | 0.998238871064532 | 0.499119435532266 |
| 27 | 0.499760173474075 | 0.99952034694815 | 0.500239826525925 |
| 28 | 0.514086937231872 | 0.971826125536255 | 0.485913062768128 |
| 29 | 0.660785555099176 | 0.678428889801648 | 0.339214444900824 |
| 30 | 0.912058524244615 | 0.175882951510770 | 0.0879414757553852 |
| 31 | 0.972631597498246 | 0.0547368050035085 | 0.0273684025017542 |
| 32 | 0.969485107785229 | 0.0610297844295426 | 0.0305148922147713 |
| 33 | 0.966654087006392 | 0.0666918259872165 | 0.0333459129936082 |
| 34 | 0.971451100185845 | 0.0570977996283109 | 0.0285488998141555 |
| 35 | 0.977169441925801 | 0.0456611161483971 | 0.0228305580741985 |
| 36 | 0.973930955792022 | 0.0521380884159568 | 0.0260690442079784 |
| 37 | 0.971729058643156 | 0.0565418827136883 | 0.0282709413568441 |
| 38 | 0.972229382397655 | 0.0555412352046896 | 0.0277706176023448 |
| 39 | 0.968536504571693 | 0.0629269908566145 | 0.0314634954283072 |
| 40 | 0.977438158782221 | 0.0451236824355574 | 0.0225618412177787 |
| 41 | 0.974779488918926 | 0.050441022162149 | 0.0252205110810745 |
| 42 | 0.980742096744915 | 0.0385158065101701 | 0.0192579032550851 |
| 43 | 0.979415014241035 | 0.0411699715179291 | 0.0205849857589646 |
| 44 | 0.979524136480938 | 0.040951727038125 | 0.0204758635190625 |
| 45 | 0.971244807247093 | 0.0575103855058139 | 0.0287551927529069 |
| 46 | 0.961344123029066 | 0.0773117539418672 | 0.0386558769709336 |
| 47 | 0.948321082687232 | 0.103357834625535 | 0.0516789173127675 |
| 48 | 0.932627168971703 | 0.134745662056595 | 0.0673728310282973 |
| 49 | 0.91185565154494 | 0.176288696910119 | 0.0881443484550597 |
| 50 | 0.887384820043782 | 0.225230359912435 | 0.112615179956218 |
| 51 | 0.855304622959124 | 0.289390754081752 | 0.144695377040876 |
| 52 | 0.822591051608906 | 0.354817896782187 | 0.177408948391094 |
| 53 | 0.784037541061425 | 0.43192491787715 | 0.215962458938575 |
| 54 | 0.848897853065627 | 0.302204293868745 | 0.151102146934373 |
| 55 | 0.813407617051401 | 0.373184765897198 | 0.186592382948599 |
| 56 | 0.775795386455434 | 0.448409227089133 | 0.224204613544566 |
| 57 | 0.74825595158433 | 0.503488096831341 | 0.251744048415671 |
| 58 | 0.700628262963435 | 0.598743474073131 | 0.299371737036565 |
| 59 | 0.685209876424674 | 0.629580247150652 | 0.314790123575326 |
| 60 | 0.67641236264439 | 0.647175274711221 | 0.323587637355611 |
| 61 | 0.79807890492864 | 0.403842190142719 | 0.201921095071359 |
| 62 | 0.850159998725609 | 0.299680002548782 | 0.149840001274391 |
| 63 | 0.98140447395596 | 0.0371910520880818 | 0.0185955260440409 |
| 64 | 0.986210377628617 | 0.0275792447427664 | 0.0137896223713832 |
| 65 | 0.988086678142198 | 0.0238266437156048 | 0.0119133218578024 |
| 66 | 0.991920892141472 | 0.0161582157170560 | 0.00807910785852801 |
| 67 | 0.9974203560452 | 0.00515928790960104 | 0.00257964395480052 |
| 68 | 0.997144072171806 | 0.00571185565638827 | 0.00285592782819413 |
| 69 | 0.999081808823895 | 0.00183638235220950 | 0.000918191176104748 |
| 70 | 0.999547294152553 | 0.000905411694894982 | 0.000452705847447491 |
| 71 | 0.99919579029679 | 0.00160841940642159 | 0.000804209703210794 |
| 72 | 0.998438660090822 | 0.00312267981835599 | 0.00156133990917799 |
| 73 | 0.997724289175113 | 0.00455142164977408 | 0.00227571082488704 |
| 74 | 0.995194061376863 | 0.0096118772462733 | 0.00480593862313665 |
| 75 | 0.99692302342067 | 0.00615395315865997 | 0.00307697657932999 |
| 76 | 0.994670825628765 | 0.0106583487424697 | 0.00532917437123484 |
| 77 | 0.9894992054321 | 0.0210015891358015 | 0.0105007945679007 |
| 78 | 0.984292109677268 | 0.0314157806454648 | 0.0157078903227324 |
| 79 | 0.967138402348727 | 0.0657231953025451 | 0.0328615976512726 |
| 80 | 0.958582915601958 | 0.0828341687960844 | 0.0414170843980422 |
| 81 | 0.99734350899934 | 0.00531298200132188 | 0.00265649100066094 |
| 82 | 0.99217538889464 | 0.0156492222107209 | 0.00782461110536046 |
| 83 | 0.990184156726846 | 0.0196316865463083 | 0.00981584327315417 |
| 84 | 0.99512198275817 | 0.00975603448366028 | 0.00487801724183014 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 11 | 0.139240506329114 | NOK |
| 5% type I error level | 25 | 0.316455696202532 | NOK |
| 10% type I error level | 38 | 0.481012658227848 | NOK |
