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 represente hundreds of jobs) 15 Complete parts (a) through (w), ulven Xx - 200, y = 27,x .7594, 1/2 - 169, By - 1014, and r0.077 Draw a scatter diagram displaying the data 3 2 Submission Data (-) Verify the given sus I, IV, 22. sv. Duy, and the value of the sample correlation coefficient and 250

Answer 1

S.No X Υ XY 1 2 1 2 3 4 5 6 Total 15 34 48 28 50 25 200 7 5 9 3 X? 225.0000 1156.0000 2304.0000 784.0000 2500.0000 625.0000 7594.0000 ΣΧ 1.0000 4.0000 49.0000 25.0000 81.0000 9.0000 169.0000 ΣΥ 15.00 68.00 336.00 140.00 450.00 75.00 1084.0000 27 Mean 33.333 4.5000 ΣΧΥ

	n=	6.0000
	X̅=ΣX/n	33.33
	Y̅=ΣY/n	4.50
	sx=(√(Σx2-(Σx)2/n)/(n-1))=	13.62
	sy=(√(Σy2-(Σy)2/n)/(n-1))=	3.0822
	Cov=sxy=(ΣXY-(ΣXΣY)/n)/(n-1)=	36.8000
	r=Cov/(Sx*Sy)=	0.8767
	slope= β̂1 =r*Sy/Sx=	0.1984
	intercept= β̂0 ='y̅-β1x̅=	-2.1139

b)

ΣX =	200.000
ΣY=	27.000
ΣX2 =	7594.000
ΣY2 =	169.000
ΣXY =	1084.000
r =	0.877

c)

X̅=ΣX/n =	33.33
Y̅=ΣY/n =	4.50
ŷ =	-2.114+0.198x

d_)

101 20

e)

coeff of determination r2 =		0.769
explained =		76.9%
unexplained=		23.1%

f)

predicted val=-2.11395+34*0.19842=

4.63