{
"test": "polynomial",
"method": "statsmodels",
"dataset": "lh",
"formula": "time ~ poly(value, 3, raw=True)",
"degree": 3,
"n": 48,
"k": 3,
"df_residual": 44,
"df_model": 3,
"variable_names": [
"Intercept",
"x^1",
"x^2",
"x^3"
],
"coefficients": [
200.80357807929204,
-211.90426606964942,
77.61580674580348,
-8.612073199198589
],
"std_errors": [
134.89578958153237,
174.13055926106105,
72.75324368450244,
9.83757203314165
],
"t_stats": [
1.4885829921172176,
-1.2169274995089003,
1.0668363747792162,
-0.8754266977853381
],
"p_values": [
0.1437300964779483,
0.23011902240113133,
0.2918645859342913,
0.3860957878037781
],
"r_squared": 0.23288212203772218,
"adj_r_squared": 0.180578630358476,
"f_statistic": 4.45251577974724,
"f_p_value": 0.008125296605883656,
"mse": 160.6065884497387,
"rmse": 12.673065471689897,
"mae": 9.959793823050026,
"residual_std_error": 12.673065471689897,
"log_likelihood": -187.91576433748543,
"aic": 383.83152867497085,
"bic": 391.31633271860244,
"conf_int_lower": [
-71.06102217231711,
-562.84134892415,
-69.00872151154822,
-28.438396886047073
],
"conf_int_upper": [
472.6681783309012,
139.03281678485112,
224.24033500315517,
11.214250487649897
],
"fitted_values": [
20.24708646224019,
20.24708646224019,
20.24708646224019,
18.573341950685517,
18.333917184243546,
28.516997105580515,
19.22828918974949,
19.22828918974949,
21.57806132896235,
18.561687329618394,
19.30832482600556,
22.564891628597422,
18.573341950685517,
20.625502112600145,
35.29537314210222,
35.29537314210222,
24.969854088320176,
18.573341950685517,
18.573341950685517,
19.30832482600556,
19.30832482600556,
20.625502112600145,
24.969854088320176,
31.107064204213316,
19.22828918974949,
18.561687329618394,
18.561687329618394,
28.990287954261703,
28.990287954261703,
24.969854088320176,
24.969854088320176,
19.22828918974949,
23.169541350720692,
20.24708646224019,
20.625502112600145,
22.564891628597422,
28.516997105580515,
32.63305794495676,
18.333917184243546,
37.26356095164897,
40.68964105597229,
40.68964105597229,
33.225983413225094,
23.169541350720692,
18.333917184243546,
39.07887440267086,
31.107064204213316,
28.990287954261703
],
"residuals": [
-19.24708646224019,
-18.24708646224019,
-17.24708646224019,
-14.573341950685517,
-13.333917184243546,
-22.516997105580515,
-12.22828918974949,
-11.22828918974949,
-12.578061328962349,
-8.561687329618394,
-8.30832482600556,
-10.564891628597422,
-5.573341950685517,
-6.625502112600145,
-20.29537314210222,
-19.29537314210222,
-7.969854088320176,
-0.5733419506855171,
0.4266580493144829,
0.6916751739944402,
1.6916751739944402,
1.3744978873998548,
-1.9698540883201758,
-7.107064204213316,
5.771710810250511,
7.438312670381606,
8.438312670381606,
-0.9902879542617029,
0.009712045738297093,
5.030145911679824,
6.030145911679824,
12.77171081025051,
9.830458649279308,
13.75291353775981,
14.374497887399855,
13.435108371402578,
8.483002894419485,
5.366942055043239,
20.666082815756454,
2.7364390483510306,
0.3103589440277119,
1.310358944027712,
9.774016586774906,
20.830458649279308,
26.666082815756454,
6.921125597329137,
15.892935795786684,
19.009712045738297
]
}