An economist is studying the job market in Denver area neighborhoods. Letxrepresent the total number of jobs in a given neighborhood, and letyrepresent 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).

x13 35 51 28 50 25

y 3 3 5 5 9 3

Complete parts (a) through (e), givenx=202,y=28,x²=7904,y²=158,xy=1064,andr0.699.

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

x=

y=

x²=

y²=

xy=

r=

(c) Findx, andy. Then find the equation of the least-squares line=a+bx. (Round your answers forxandyto two decimal places. Round your answers foraandbto three decimal places.)

x=

y==

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 three decimal places. Round your answers for the percentages to one decimal place.)

r²=

explained%

unexplained%

(f) For a neighborhood withx=33hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)

hundred jobs