Question

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 13 32 51 28 50 25 y 3 2 7 5 9 3 Complete parts (a) through (e), given Σx = 199, Σy = 29, Σx2 = 7703, Σy2 = 177, Σxy = 1125, and r ≈ 0.810.

(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 =
explained =	%
unexplained =	%

(f) For a neighborhood with x = 37 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs

write it clear please!!!

Answer 1

given Σx = 199, Σy = 29, Σx2 = 7703, Σy2 = 177, Σxy = 1125, and r ≈ 0.810.

We need to find R2

Which can simply be obtained using r^2

R2 = 0.81^2

R2 = 0.656

explained = R2*100%

explained = 65.6%

unexplained = 100 - explained

unexplained = 100 - 65.6

unexplained = 34.4%

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

Therefore, we find that the regression equation is:

Y = -0.0737 + 0.148 X

x = 37 hundred jobs

Y = -0.0737 + 0.148*37

Y = -0.0737 + 5.476

Y = 5.4023

Y = 5.40