. In one of Boston’s public parks, mugging in summer months has been a serious issue. A police cadet took a random sample of 10 days and compiled the data. For each day, x represents the number of police officers on duty in the park and y represents the number of reported muggings on that day. A scatter plot has been provided in the following. (a) What information can we learn from the above scatter plot? (b) One wishes to use the linear model for this question. Please specify the theoretical linear model and the common assumptions. (c) Based on the following SAS output, please write out the regression line. (d) Can you predict y value when x = 30? Why or why not? (e) Please construct a 95% confidence interval for the slope. (f) Overall is this model useful? (Please set up hypotheses and report the result from SAS output). (g) Find the sample correlation coefficient.