Computer Science 477/577\ Homework 1\ Due: April 20 (10 Points) Suppose that you are trying to discretize a continuous attribute by using the ChiMerge Algorithm. When you merge two rows (because the $\chi^{2}$ statistic of the upper row falls below a threshold) you must the recompute at least one $\chi^{2}$ value. Is the new value necessarily greater than the old one? A formal proof is not necessary. Just an intelligent discussion. You will not lose points by giving the wrong answer, only by not being intelligent in your discussion.