Letxbe the percentage of 16- to 19-year-olds not in school and not high school graduates. Letybe the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information aboutxandy.x24.019.517.914.919.017.5y12.64.69.01.30.83.6

Complete parts (a) through (e), givenx=112.8,y=31.9,x²=2165.92,y²=276.21,xy=650.77,andr0.7348.(a) Draw a scatter diagram displaying the data.

(b) Verify the given sumsx,y,x²,y²,xy, and the value of the sample correlation coefficientr. (Round your value forrto four decimal places.)x=y=x²=y²=xy=r=

(c) Findx, andy. Then find the equation of the least-squares line=a+bx. (Round your answer to four decimal places.)x=y==+x

(d) Graph the least-squares line. Be sure to plot the point (x,y) as a point on the line.

(e) Find the value of the coefficient of determinationr². What percentage of the variation inycan beexplainedby the corresponding variation inxand the least-squares line? What percentage isunexplained? (Round your answer forr²to four decimal places. Round your answers for the percentages to two decimal place.)r²=explained%unexplained%

(f) If the percentage of 16- to 19-year-olds not in school and not graduates reaches19.7%in a similar city, what is the predicted rate of violent crimes per 1000 residents? (Round your answer to two decimal places.)

violent crimes per 1000 residents