{
"test": "polynomial",
"method": "statsmodels",
"dataset": "longley",
"formula": "GNP.deflator ~ poly(GNP, 3, raw=True)",
"degree": 3,
"n": 16,
"k": 3,
"df_residual": 12,
"df_model": 3,
"variable_names": [
"Intercept",
"x^1",
"x^2",
"x^3"
],
"coefficients": [
72.78969817244456,
-0.031191292079496336,
0.0004528977467661219,
-4.529524568034108e-07
],
"std_errors": [
24.87634098143339,
0.20336411520188075,
0.0005337037189598048,
4.5168884048372804e-07
],
"t_stats": [
2.926061281551479,
-0.15337657800901874,
0.8485939495584277,
-1.00279753716813
],
"p_values": [
0.012696546914645994,
0.8806503215165716,
0.4127152863291471,
0.33575152915375744
],
"r_squared": 0.9887385999364227,
"adj_r_squared": 0.9859232499205284,
"f_statistic": 351.19562198462,
"f_p_value": 5.952554326234237e-12,
"mse": 1.6393448819738357,
"rmse": 1.280369041321226,
"mae": 0.9072377328337575,
"residual_std_error": 1.280369041321226,
"log_likelihood": -24.3559335502105,
"aic": 56.711867100421,
"bic": 59.80222198938013,
"conf_int_lower": [
18.588807286920833,
-0.47428363537527835,
-0.0007099427633446137,
-1.4370978974668717e-06
],
"conf_int_upper": [
126.9905890579683,
0.4119010512162857,
0.0016157382568768575,
5.311929838600501e-07
],
"fitted_values": [
84.51691758624818,
87.27024024158546,
87.11629713761923,
90.15460547008183,
95.41665396355236,
97.57394043729468,
99.76197698976361,
99.4927317422405,
103.49949094544363,
105.9322743273928,
108.44987219573888,
108.63326700347574,
112.31587269012866,
114.01115270971812,
115.21194221832796,
117.5427643546139
],
"residuals": [
-1.5169175862481836,
1.229759758414545,
1.0837028623807754,
-0.6546054700818331,
0.7833460364476394,
0.5260595627053135,
-0.7619769897636104,
0.507268257759506,
-2.2994909454436225,
-1.3322743273928097,
-0.04987219573887103,
2.16673299652426,
0.2841273098713373,
0.18884729028188474,
0.4880577816720404,
-0.6427643546138881
]
}