A study used logistic regression to determine characteristics associated with Y= whether a cancer patient achieved remission ( 1= yes). The most important explanatory variable was a labeling index (LI) that measures proliferative activity of cells after a patient receives an injection of tritiated thymidine. It represents the percentage of cells that are "labeled." Table 1 contains the grouped data (can find data file on Canvas, cancer_remission.txt). Create the logistic regression model using LI to predict =P(Y=1). a. Find ^ when LI=8. b. Show that ^=0.50 when LI=26.0. c. Show that the rate of change in ^ is 0.009 when LI=8 and is 0.036 when LI=26. d. Conduct a Wald test for LI effect. Interpret. e. Construct a Wald confidence interval for the odds ratio corresponding to a 1-unit increase in LI. Interpret. f. Conduct a likelihood-ratio test for the LI effect. Interpret. g. Construct the likelihood-ratio confidence interval for the odds ratio. Interpret