A town is considering increasing the number of policemen in an effort to reduce crime. A survey was conducted in other towns of similar sizes to determine the relationship between the number of policemen and number of crimes reported. A random sample of eight towns was selected and the information gathered is shown in Table 6.33

Town	Number of policemen	Number of crimes
A	8	17
B	10	13
C	18	5
D	20	4
E	10	7
F	5	21
G	4	19
H	5	6

Table 6.33 Relationship between number of policemen and number of crimes reported

( a ) Plot a scatter diagram.

( b ) Compute the product moment correlation coefficient and explain its value.

( c ) Obtain a linear regression line using the least squares method.

( d ) Interpret the slope in the linear regression line obtained in ( c ).

( e ) Estimate the number of crimes if there were twelve policemen in a town.