Assume that \((x_1,y_1), (x_2,y_2),..., (x_n, y_n) \)are a collection of bivariate measurements with n > 2. It's known that all the xi and all the yi values are distinct. Let rp denote the Pearson correlation coefficient and rs denote the Spearman's rank correlation coefficient. If it's given that rp = -1, which of the following is necessarily true?
1
rs = 1
2
rs = 0
3
rs < 0
4
rs = -1