Question 15.21

15.21 Correlation and regression. If the correlation between two variables and is , there is no straight-line relationship between the variables. It turns out that the correlation is 0 exactly when the slope of the least-squares regression line is 0. Explain why slope 0 means that there is no straight-line relationship between and . Start by drawing a line with slope 0 and explaining why in this situation has no value for predicting .