Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be 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 about x and y. x 23.8 19.1 17.5 14.9 19.0 17.5 y 12.9 4.5 9.5 1.3 0.8 3.6 Find the value of the coefficient of determination r2 (r squared). What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) a)r2 (r squared not r times two) = b) explained =___% unexplained =____% c) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 21.8% 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
Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be 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 about x and y.
x 23.8 19.1 17.5 14.9 19.0 17.5
y 12.9 4.5 9.5 1.3 0.8 3.6
Find the value of the coefficient of determination r2 (r squared). What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)
a)r2 (r squared not r times two) =
b) explained =___%
unexplained =____%
c) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 21.8% 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
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 5 images
