(c) (3 points) One thing we can sometimes figure out from a method's estimating equa- tions, is how robust it is to outliers. Based on the estimating equations of the linear regression with L2 loss from class, what do you think will happen to a and b if we take a single yi value and make it larger and larger, while holding all the other 2n -1 x and y values fixed? Consider the three options for what might happen: (i) a and b would not change at all (ii) a and b would change somewhat but there is a limit to how much they change (iii) a and b can change more and more as we change y; more and more, without any limit. You may assume that xi # x. Explain your answer. If which one of (i)-(iii) happens depends on the data y and x, explain what it depends on (but you do not have to give necessary and sufficient conditions)