Hi My mom is taking a correspondence course in Simple Linear Regression and Correlation Analysis and we've been arguing about the relationship between the correlation rxy and standard estimate of errorSy.x. I took statistics last year in high school and I remember something about the Sy.x being proportionate to the r. Are they inversely related, directly related, not related, or can only range from 0 to 1.00? Her book doesn't say very much and I believe they are inversely related. She says they're directly related. Do you have more information because I haven't been able to find very much information and I have a Happy Meal riding on this. Thanks for your help with this question. Hi,The standard error of estimate, S_{y.x} is the square root of S^{2}_{y.x}. The quantity S^{2}_{y.x} is also called the mean square error and designated MSE. The relationship between S_{y.x} and r_{xy} is Thus if r is large (close to plus or minus 1), S_{y.x} is small (close to zero) and if r is small (close to zero), S_{y.x} is large (close to the variance in the Y's). Cheers,Chris and Penny
