linreg-core 0.8.1

{
  "test": "polynomial",
  "method": "statsmodels",
  "dataset": "iris",
  "formula": "Sepal.Length ~ poly(Sepal.Width, 2, raw=True)",
  "degree": 2,
  "n": 229,
  "k": 2,
  "df_residual": 226,
  "df_model": 2,
  "variable_names": [
    "Intercept",
    "x^1",
    "x^2"
  ],
  "coefficients": [
    8.346825048857207,
    -1.3537945659275064,
    0.1572988138516725
  ],
  "std_errors": [
    1.0643018819097496,
    0.697158742305227,
    0.11368210400171196
  ],
  "t_stats": [
    7.842535271928607,
    -1.9418741870051655,
    1.3836726126154713
  ],
  "p_values": [
    1.7369769455564086e-13,
    0.05339514525845358,
    0.16782382296764342
  ],
  "r_squared": 0.10714528513102461,
  "adj_r_squared": 0.09924391597289206,
  "f_statistic": 13.56034416146027,
  "f_p_value": 2.7430263870110906e-06,
  "mse": 0.19685346906907747,
  "rmse": 0.4436817204585709,
  "mae": 0.2803878600191173,
  "residual_std_error": 0.4436817204585709,
  "log_likelihood": -137.33066146623307,
  "aic": 280.66132293246613,
  "bic": 290.96248894312885,
  "conf_int_lower": [
    6.249600903435791,
    -2.7275571913685197,
    -0.06671361858609717
  ],
  "conf_int_upper": [
    10.444049194278623,
    0.019968059513506997,
    0.38131124628944213
  ],
  "fitted_values": [
    5.535454537793923,
    5.701130675739741,
    5.625422291730313,
    5.661703495596511,
    5.51175723903586,
    5.459541200423871,
    5.562297812829019,
    5.562297812829019,
    5.743703832160004,
    5.661703495596511,
    5.49120591655483,
    5.562297812829019,
    5.701130675739741,
    5.701130675739741,
    5.448427806773942,
    5.4354339949445585,
    5.459541200423871,
    5.535454537793923,
    5.473800570350834,
    5.473800570350834,
    5.562297812829019,
    5.49120591655483,
    5.51175723903586,
    5.701130675739741,
    5.535454537793923,
    5.440460389401046,
    5.661703495596511,
    5.701130675739741,
    5.562297812829019,
    5.535454537793923,
    6.065208272499291,
    5.625422291730313,
    5.535454537793923,
    5.49120591655483,
    5.473800570350834,
    5.625422291730313,
    5.49120591655483,
    5.592287064141149,
    5.625422291730313,
    5.625422291730313,
    5.661703495596511,
    6.065208272499291,
    5.789422964857302,
    5.789422964857302,
    5.592287064141149,
    6.003759258416825,
    5.743703832160004,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.743703832160004,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.743703832160004,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.625422291730313,
    5.743703832160004,
    5.789422964857302,
    6.129803262858788,
    6.129803262858788,
    5.625422291730313,
    5.592287064141149,
    5.701130675739741,
    5.945456220611394,
    5.945456220611394,
    5.661703495596511,
    5.701130675739741,
    5.701130675739741,
    5.701130675739741,
    5.838288073831632,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.838288073831632,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.701130675739741,
    5.838288073831632,
    5.838288073831632,
    5.789422964857302,
    5.562297812829019,
    5.789422964857302,
    5.789422964857302,
    5.562297812829019,
    5.701130675739741,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.562297812829019,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.562297812829019,
    5.789422964857302,
    5.838288073831632,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.945456220611394,
    5.562297812829019,
    5.562297812829019,
    5.789422964857302,
    5.945456220611394,
    5.701130675739741,
    5.562297812829019,
    5.945456220611394,
    5.701130675739741,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.701130675739741,
    5.789422964857302,
    5.701130675739741,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.701130675739741,
    5.701130675739741,
    5.838288073831632,
    5.838288073831632,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.701130675739741,
    5.789422964857302,
    5.789422964857302,
    5.838288073831632,
    5.838288073831632,
    5.701130675739741,
    5.838288073831632,
    5.743703832160004,
    5.701130675739741,
    5.945456220611394,
    5.701130675739741,
    5.562297812829019,
    5.701130675739741,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.789422964857302,
    5.562297812829019,
    5.789422964857302,
    5.789422964857302,
    5.838288073831632,
    5.562297812829019,
    5.789422964857302,
    5.789422964857302,
    5.562297812829019,
    5.789422964857302,
    5.701130675739741,
    5.789422964857302,
    5.562297812829019,
    5.789422964857302,
    5.562297812829019,
    5.701130675739741,
    5.562297812829019,
    5.562297812829019,
    5.701130675739741,
    5.562297812829019,
    5.701130675739741,
    5.562297812829019,
    5.562297812829019,
    6.268431172408884,
    6.268431172408884,
    6.268431172408884,
    6.268431172408884,
    6.268431172408884,
    6.268431172408884,
    6.268431172408884
  ],
  "residuals": [
    -0.4354545377939232,
    -0.8011306757397403,
    -0.925422291730313,
    -1.061703495596511,
    -0.5117572390358598,
    -0.05954120042387068,
    -0.9622978128290196,
    -0.5622978128290193,
    -1.3437038321600037,
    -0.7617034955965103,
    -0.09120591655482979,
    -0.7622978128290194,
    -0.9011306757397408,
    -1.4011306757397408,
    0.35157219322605826,
    0.2645660050554417,
    -0.05954120042387068,
    -0.4354545377939232,
    0.22619942964916628,
    -0.37380057035083425,
    -0.1622978128290189,
    -0.3912059165548305,
    -0.9117572390358601,
    -0.7011306757397406,
    -0.33545453779392265,
    0.05953961059895363,
    -0.7617034955965103,
    -1.3011306757397403,
    -0.4622978128290196,
    -0.5354545377939228,
    -1.5652082724992908,
    -1.2254222917303128,
    -0.5354545377939228,
    -0.3912059165548305,
    -0.37380057035083425,
    -1.0254222917303135,
    -0.19120591655483032,
    -0.5922870641411491,
    1.3745777082696868,
    0.7745777082696872,
    1.2382965044034897,
    -0.5652082724992908,
    0.7105770351426983,
    -0.0894229648573015,
    0.7077129358588508,
    -1.103759258416825,
    0.8562961678399956,
    -0.101130675739741,
    -0.03828807383163202,
    0.5562961678399958,
    0.3562961678399956,
    -0.101130675739741,
    -0.03828807383163202,
    0.5562961678399958,
    0.3562961678399956,
    -0.101130675739741,
    -0.03828807383163202,
    0.5562961678399958,
    0.7745777082696872,
    0.8562961678399956,
    1.0105770351426981,
    0.07019673714121222,
    -0.029803262858788315,
    0.7745777082696872,
    1.107712935858851,
    -0.101130675739741,
    -0.4454562206113941,
    -0.4454562206113941,
    1.0382965044034895,
    -0.3011306757397403,
    0.9988693242602595,
    0.9988693242602595,
    0.36171192616836834,
    -0.101130675739741,
    -0.03828807383163202,
    -0.04370383216000384,
    0.36171192616836834,
    -0.101130675739741,
    -0.03828807383163202,
    -0.04370383216000384,
    -0.101130675739741,
    -0.03828807383163202,
    -0.33828807383163184,
    0.4105770351426985,
    0.43770218717098075,
    0.010577035142698143,
    0.010577035142698143,
    0.037702187170980395,
    0.29886932426025936,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.43770218717098075,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.43770218717098075,
    0.010577035142698143,
    -0.33828807383163184,
    0.010577035142698143,
    -0.18942296485730203,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    -0.18942296485730203,
    0.4105770351426985,
    -0.4454562206113941,
    0.43770218717098075,
    0.23770218717098057,
    0.010577035142698143,
    -0.4454562206113941,
    -0.101130675739741,
    0.23770218717098057,
    -0.4454562206113941,
    -0.101130675739741,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.398869324260259,
    0.010577035142698143,
    -0.101130675739741,
    -0.18942296485730203,
    -0.0894229648573015,
    -0.0894229648573015,
    -0.18942296485730203,
    -0.18942296485730203,
    -0.101130675739741,
    -0.001130675739740461,
    -0.13828807383163166,
    0.36171192616836834,
    -0.001130675739740461,
    -0.13828807383163166,
    0.45629616783999616,
    -0.101130675739741,
    0.010577035142698143,
    0.010577035142698143,
    -0.13828807383163166,
    0.36171192616836834,
    -0.001130675739740461,
    -0.13828807383163166,
    0.45629616783999616,
    -0.101130675739741,
    -0.4454562206113941,
    0.398869324260259,
    0.23770218717098057,
    -0.101130675739741,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.010577035142698143,
    0.43770218717098075,
    0.010577035142698143,
    0.010577035142698143,
    -0.33828807383163184,
    0.43770218717098075,
    0.010577035142698143,
    0.010577035142698143,
    0.43770218717098075,
    0.010577035142698143,
    0.29886932426025936,
    0.010577035142698143,
    0.43770218717098075,
    0.010577035142698143,
    0.43770218717098075,
    0.29886932426025936,
    0.43770218717098075,
    0.43770218717098075,
    0.29886932426025936,
    0.43770218717098075,
    0.29886932426025936,
    0.43770218717098075,
    0.43770218717098075,
    0.3315688275911155,
    0.3315688275911155,
    0.3315688275911155,
    0.3315688275911155,
    0.3315688275911155,
    0.3315688275911155,
    0.3315688275911155
  ]
}