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