An economist is studying the job market in denver areaneighborhoods. Let x represent the total number of jobs in a givenneighborhood, and let y represent the number of entry-level jobs inthe same neighborhood. A sample of six Denver neighborhoods Gavethe following information (units in hundreds of jobs).

x 15 35 48 28 50 25

y 3 4 7 5 9 3

complete parts (a) through (e), given ?x=201, ?y=31, ?x2=7663,?y2=189, ?xy=1186, and r?0,901.

a)draw a scatter diagram displaying the data

b) verify the given sums, ?x, ?y, ?x2, ?y2, ?xy, and the valueof the sample correlation coefficient r. ()round your value for rto three decimal value).

c) find the x-, and y- then find the equation of theleast-squares line yˆ=a+bx. (round your answers for x- and y- totwo decimal places. round your answers for a and b to three decimalplaces.)

e)find the value of the coefficient of determination r2. whatpercentage of the variation in y can be explained by thecorresponding variation in x and the least-squares line? whatpercentage is unexplained? (round your answer for r2 ro threedecimal places. round your answers for the percentages to onedecimal places.)

f) for a neighborhood with x=37 hundred jobs, how many arepredicted to be entry level jobs? (round your answer to two decimalplaces.)