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). x 17 32 50 28 50 25 y237593 IA use SALT Complete parts (a) through (e), given 2x = 202, By = 29, 2x2 = 7722, 2y2 = 177, ny = 1145, and r a: 0.9156. (a) Draw a scatter diagram displaying the data. 0 5 0 5 0 5 0 5 4. 4. 3 3 2 2 23265: a: so. E2-5 Ho snag; 9 8 7 6 5 4 3 2 23965: :3 3 ~u>|>bno .o .3855: A x(total number of jobs (in hundreds x(total number of jobs (in hundreds 0 5 0 5 0 5 0 5 4. 4. 3 3 2 2 2355.: Ed 3o. _u_- 3 $855 a 9 8 7 6 5 4 3 2 230.655 5\" 3E dyenigh. o 53:55 A x(total number of jobs (in hundreds x(total number of jobs (in hundreds (b) Verify the given sums Ex, Zy, Ex2, Zy2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) EX = Ey Ex2 Ey2 Exy = r (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) x y X(d) Graph the least-squares line. Be sure to plot the point ()7, I!) as a point on the line. 3 3 O I) .3 9 a so 3 -'= 3 E 45 .5 .5 .8 7 I 40 P. .'3 a 6 t E E 35 | F 5 g 30 E 1:: o 4 \"a g 25 In 3 k g ' 20 2 E 5 5 >1 20 25 30 35 40 45 50 >' 2 3 4 5 6 7 8 x(total number of jobs (in hundreds G) n x(tota.l number of jobs (in hundreds '0 U! Q on 3 a: U UI UI 0-, O .p N u- u N O N 2 3 4 5 6 7 8 ..|....I....|....|....|....|....L 20 25 30 35 40 45 50 x(total number of jobs (in hundreds (D x(total number of jobs (in hundreds y(number of entrylevel jobs (in hundreds y (number of entrylevel jobs (in hundreds (e) Find the value of the coefcient 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 four decimal places. Round your answers for the percentages to two decimal place.) 2: explained , ,, , , % unexplained % (1') For a neighborhood with x = 45 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs