Create a Surrogate Model for predicting outputs from 7 different variables which have been varied in a latin hypercube over a number of runs

I want to create surrogate models for an input of 7 variables to predict 2 outputs. I have a dataset of 139 separate runs which have varied the 7 variables in a Latin Hypercube to cover as much of the design space as possible. I now want to be able to estimate what the 2 outputs would be for any given random combination of the 7 input variables. Does anyone have any guidance for how to do this? I'm assuming maybe something down the lines of PCA (principal component analysis) but I'm not very familiar with this and not sure what to do with the coefficients MatLab outputs using the function pca?

I've attached the input and output datasets for reference.