a. 1. An experiment was conducted to study the effect of the size of the bottle deposit on the probability a one-liter bottle is returned. A retum was scored a l. The independent variable Deposit is in cents. Samples of size 500 bottles were used for each of 6 values for the Deposit variable, and the number returned recorded. Use the data in the file Bottle Return to complete the following. a What are the maximum likelihood estimates of B, and B? b. Is the variable Deposit significant? Explain c. What percentage of the deviance is explained by the model? What statistic is this equivalent to in regression? d. Plot and print out the fitted logistic curve. e. Obtain and interpret it. f. What is the estimated probability that a bottle will be retumed given a deposit of 15 cents? g. What is the 95% confidence interval for the estimate in part (e)? What is the 90% interval