An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). x143549285025y347593Complete parts (a) through (e), given x = 201, y = 31, x² = 7731, y² = 189, xy = 1190, and r 0.893.(a) Draw a scatter diagram displaying the data. 1

(b) Verify the given sums x, y, x², y², xy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) x =2 y =3 x² =4 y² =5 xy =6 r =7

(c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = 8 y = 9 = 10 + 11 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 determination r². 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 three decimal places. Round your answers for the percentages to one decimal place.) r² =13 explained14 % unexplained15 %

(f) For a neighborhood with x = 36 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)

16 hundred jobs