{
"test": "ols",
"method": "statsmodels",
"dataset": "synthetic_interaction",
"formula": "x1 ~ x2 + y",
"n": 100,
"k": 2,
"df_residual": 97,
"variable_names": [
"Intercept",
"x2",
"y"
],
"coefficients": [
2.721514863793808,
-0.7696172405071738,
0.1924250941157753
],
"std_errors": [
0.1836719626465872,
0.04322201188534242,
0.00602965921020192
],
"t_stats": [
14.81725803208417,
-17.806141059531953,
31.913096148153855
],
"p_values": [
1.1799746135719382e-26,
2.4830887805998555e-32,
3.0475673352243404e-53
],
"r_squared": 0.9176697072164618,
"adj_r_squared": 0.9159721754064919,
"f_statistic": 540.5905808815186,
"f_p_value": 2.538887766520692e-53,
"mse": 0.7120941247658426,
"std_error": 0.8438566968187445,
"log_likelihood": -123.3936340160982,
"aic": 252.7872680321964,
"bic": 260.6027785901607,
"conf_int_lower": [
2.356976860908432,
-0.8554009696421849,
0.18045788967752477
],
"conf_int_upper": [
3.086052866679184,
-0.6838335113721628,
0.20439229855402583
],
"residuals": [
-2.3687057366270396,
-0.25727688413011496,
-0.7479601626040342,
0.2605529150173975,
-1.1828942763526413,
-0.7913067428550626,
0.45951329748318503,
0.15018129674699754,
0.3272156525070624,
2.455262418984721,
0.8320107540338997,
0.3843088020977259,
-1.388824027179314,
0.565802312538362,
0.14996073907650143,
0.6630994406821564,
-0.03409731440947983,
0.6135687571876374,
-1.9402527163168826,
0.37651508392594235,
-1.080979145508874,
0.6671309344282754,
-0.5413723439998464,
0.4795070629575058,
0.08004758773874876,
-0.9801611107158141,
0.9203511375616316,
-0.27880301065856816,
-0.7198761333777499,
0.7377674008047332,
0.1305232294213372,
0.7661291992596018,
-0.08700885284489512,
-0.06467646605613808,
0.3234287968908456,
-0.6463633820250969,
2.129860746907158,
0.8349396166346237,
0.062385516838907584,
-0.29474961696529434,
0.4529109208956701,
0.10148609908812478,
0.15782807917037434,
0.15931558116278666,
0.8444753995478127,
0.3002654541178549,
-0.5818482663720388,
-0.7033331411585042,
0.27327664012984343,
-0.9710459859190976,
0.2835641372960329,
-0.3105168775036029,
0.11184990185629395,
0.4033194587740976,
-1.1492022496935248,
-0.4806839150948381,
1.5938184354532439,
-0.5516170858990197,
-0.6031319272109616,
0.19267412193126887,
-0.02203980875039413,
0.4622891139104004,
-1.4871092328150755,
-1.4430452939245935,
-0.05964396166001151,
1.4975791553302562,
0.09153718394825106,
0.14680844374429292,
1.1134570070892167,
0.0007532948618163005,
-0.22426885519923268,
0.08720626554233979,
1.1647571012100402,
-1.2187531132946692,
0.256487627709693,
0.24721628946895535,
-0.7747588798179215,
0.8767797538160265,
0.44747716319560826,
-0.1562087847951137,
0.3781651293358266,
0.05442664200563874,
-1.2727261539939256,
0.37618590575302235,
-0.5661895659041143,
1.1325234561508113,
-0.20876723727262547,
0.6782446338972381,
1.482155876761448,
-0.4875459283325476,
-0.5143795130001125,
-1.081231878007852,
0.652298943150522,
0.6483726148361306,
-1.7333836159889446,
-1.043431903107047,
0.09413939735172239,
-0.9746899739696204,
0.22770718046486493,
0.6634459626289271
],
"vif": [
{
"variable": "x2",
"vif": 2.1281708071877805,
"rsquared": 0.5301129041792347
},
{
"variable": "y",
"vif": 2.1281708071877805,
"rsquared": 0.5301129041792347
}
]
}