In a certain section of a city, muggings have been a problem. The number of police officers patrolling that section of the city has varied. The following chart shows the number of police officers patrolling and the number of muggings for 8 successive days.

(a) Determine the correlation coefficient between the number of police officers and the number of muggings. 

(b) Determine whether a correlation exists at α = 0.05.

(c) Determine the equation of the line of best fit for the number of police officers and the number of muggings. 

(d) Use the equation in part (c) to estimate the average number of muggings when 14 police officers are patrol-ling that section of the city.

Round both m and b the nearest hundredth.

Transcribed Image Text:

20 12 18 15 22 10 8 10 12 9 6 15 Police officers 10 20 12 Muggings 7 18