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	14	30	48	28	50	25
y	3	2	5	5	9	3

Complete parts (a) through (c), given Σx = 195, Σy = 27, Σx² = 7309, Σy² = 153, Σxy = 1007, and r ≈ 0.740.

(a) 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	=
y	=
	=	+ x

(b) 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	%

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

PLEASE WRITE THE ANSWER CLEAR

Answer 1

( a )

195/6 = 32.50

27/6 = 4.50

y = 0.168 + 0.133 x

( b )

r2 = 0.548

explained	54.8 %
unexplained	45.2%

( c )

given x = 37

then

y = 0.168 + 0.133 ( 37)

y = 5.089

Answer :y = 5.09