(Data file: mantel) Using these “data” with a response Y and three regressors X 1 , X 2 , and X 3 from Mantel (1970), apply the forward selection and backward elimination algorithms, using aic as a...

(Data file: mantel) Using these “data” with a response Y and three regressors X₁, X₂, and X₃
from Mantel (1970), apply the forward selection and backward elimination algorithms, using aic as a criterion function. Also, find AIC and bic for all possible models and compare results. Which appear to be the active regressors?