Show all work to receive full credit Does familiarity with n

Show all work to receive full credit Does familiarity with neighbors lead to lower crime rates? A researcher has theorized that if neighbors know each other, then the crime rates will be lower than in communities in which neighbors do not have a relationship. When communities grow quickly the closeness of the community degrades. A study was done to see if there is a relationship between the crime rate and the percentage change in neighborhood population. 10 neighborhoods in a large metropolis were studied. The results are as follows. Percentage Change in Neighborhood Population 29 2 11 17 7 6 51 13 19 7 Crime Rate (Crime per 1000 population) 173 35 132 127 69 53 223 104 99 45. Find the Persons Correlation Coefficient and determine if there exists a linear relationship. I have this information, but I do not understand where the 4.8 comes from? 1/10 (24420) – [1/10 *162] [1/10 *1060]= 724.8 ((1/10*4520-(1/10*162) )2 )= 13.768 ((1/10*144648-(1/10*1060))2 ) = 56.832 4.8/13.768 * 56.823 = 0.9265=0.93

Solution

Show all work to receive full credit Does familiarity with neighbors lead to lower crime rates? A researcher has theorized that if neighbors know each other, then the crime rates will be lower than in communities in which neighbors do not have a relationship. When communities grow quickly the closeness of the community degrades. A study was done to see if there is a relationship between the crime rate and the percentage change in neighborhood population. 10 neighborhoods in a large metropolis were studied. The results are as follows. Percentage Change in Neighborhood Population 29 2 11 17 7 6 51 13 19 7 Crime Rate (Crime per 1000 population) 173 35 132 127 69 53 223 104 99 45.

Find the Persons Correlation Coefficient and determine if there exists a linear relationship. I have this information, but I do not understand where the 4.8 comes from?

1/10 (24420) – [1/10 *162] [1/10 *1060]= 724.8

((1/10*4520-(1/10*162) )2 )= 13.768

((1/10*144648-(1/10*1060))2 ) = 56.823

( that is not 4.8, but 724.8)

r = 724.8/(13.768 * 56.823 )

= 0.9265

=0.93