Let x be a random variable representing percentage change in neighborhood population in the past few years,

Question:

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six Denver neighborhoods gave the following information

Complete parts (a) through (c), given ˆ‘x = 72, ˆ‘y = 589, ˆ‘x2 = 1340, ˆ‘y2 = 72,277, and ˆ‘xy = 9499.
(a) Draw a scatter diagram for the data.

(c) Find the sample correlation coefficient r and the coefficient of determination r2. What percentage of variation in y is explained by the least-squares model?
(d) For a neighborhood with x = 12% change in population in the past few years, predict the change in the crime rate (per 1,000 residents).