(5.12} Suppose 32:0 at XIO, 10,20,30A y:1otx:70,80,90,100. Use R a. Explain intuitively why 3:00 for the model, logitl P[Y :1}|=a+x. Report ,8 and its SE for the software you use. b. Add two observations at X = 50, y = 1 for one and y = 0 for the other. Report 23' and its SE. Do you think these are correct? Why? What happens if you replace the two observations by y = 1 at X = 49.9 and y = 0 at X = 50.1