We would like to clarify whether there is a linear relationship between biomarker X (DATQUANT: dependent variable) and motor severity score Y (MDS-UPDRS-3: explanatory variable). Since age and biological sex influence the biomarker X, we considered them as covariates. We would like to conduct multiple regression.
[X (DATQUANT: dependent variable)] = a1*Y (MDS-UPDRS-3: explanatory variable) + a2*[age] + a3 + residuals
a1, a2 : slope coefficients for each explanatory variable
a3: constant term for biological sex
Now we would like to visualize the relationship between [age and sex adjusted (DATQUANT: dependent variable)] and Y (MDS-UPDRS-3: explanatory variable) So we would like to prepare scatter plot adjusted X (a1*[X(DATQUANT: continusous variable)] - a2*[age] - a3) vs. Y (MDS-UPDRS-3: dependent variable) We would appreciate it very much if you could give us comments and suggestions. Many thanks in advance.