# Validation of modeling step of PLS

How can i validate the modeling step of my dataset with PLS regression?

In other words can i calculate an X_hat and Y_hat using the modeling factors (T,P,Q,U,B,W) and compare it with the original X and Y. I'm using the algorithm PLS2.

With this 3 steps you can obtain an $\hat{y}$ but the $X$ now is the result of the combination of the old variables, the Score Matrix. Basically you can only compare the original $y$ with the new $\hat{y}$, because of the nature of the latent variables that you select.