High correlation in predictor variables can harm your linear regression model. This problem is called collinearity or multi-collinearity. The first video is an overview of collinearity, how to understand it, how to detect it, how it is related to the VIF (Variance Inflation Factor) shown in JMP reports and how to interpret VIF. The second video shows how to use Principal Components Analysis to build models that accurately account for collinearity. The attached JMP Journal gives you the data used in the videos, so you can try the techniques.