Table 2 Estimates, confidence intervals, and p values for the linear regression models for ART response

β₀

Intercept

− 36.981

[− 299.248, 225.285]

0.767

150.305

[− 0.520, 301.130]

0.051

β₁

Gender (M vs. F)

7.309

[− 61.280, 75.898]

0.823

2.765

[− 45.252, 50.782]

0.900

β₂

TX (sham vs. ET1)

− 47.924

[− 101.351, 5.503]

0.075

− 76.062

[− 117.769, − 34.354]

0.002

β₃

Butyric acid

− 1.714

[− 14.932, 11.504]

0.785

2.602

[− 7.211, 12.415]

0.568

β₄

Isovaleric acid

29.160

[− 250.990, 309.310]

0.827

− 0.865

[− 173.703, 171.972]

0.991

β₅

Propionic acid

77.531

[− 68.629, 223.692]

0.274

− 4.052

[− 46.608, 38.505]

0.836

β₆

Valeric acid

− 48.220

[− 301.846, 205.406]

0.690

− 48.224

[− 200.572, 104.125]

0.497

β₇

LPS

1.299

[− 3.408, 6.006]

0.563

0.486

[− 2.967, 3.939]

0.760

β₈

LBP

− 2.859

[− 8.315, 2.596]

0.280

− 4.667

[− 8.996, − 0.338]

0.037

β₉

iFABP

− 1.234

[− 25.262, 22.793]

0.914

− 14.466

[− 29.024, 0.093]

0.051

β₁₀

Muc2

119.763

[− 75.352, 314.878]

0.209

121.323

[− 4.593, 247.240]

0.057