As part of assumption testing for ordinary least squares (OLS), I am examining the linearity between the variables in my model. I'm using scatterplots between the independent variables (IVs) and dependent variable (DV) to do this. I'm not sure if the graph below violates the linearity assumption or not. It seems that there is no relationship between my IV (dominance) and DV (leadership potential)... yet, there's also a slight quadratic shape (inverted U-shape) present. Is this problematic enough to require a transformation? Or, can I assume linearity between these variables and proceed with OLS? Thanks!
*Updated to add residuals vs. fitted plot.