Given the data points (12, -5), (0, 3), (9, -2), (6, 0), and (1, 1), how would you describe the correlation of the data?

1 Answer
Jan 11, 2017

High negative correlation with #r_(xy)=-0.9623#

Explanation:

#x ={12,0,9,6,1}, barx = 5.6#
#y={-5,3,-2,0,1}, bar y = -0.6#

#x-barx ={6.4,-5.6,3.4,0.4,-4.6}#
#y-bary={-4.4,3.6,-1.4,0.6,1.6}#

#r_(xy)=sum((x-barx)(y-bary))/sqrt((x-barx)^2(y-bary)^2#

#r_(xy)=((6.4*-4.4)+(-5.6*3.6)+(3.4*-1.4)+(0.4*0.6)+(-4.6*1.6))/sqrt(((6.4)^2+(-5.6)^2+(3.4)^2+(0.40)^2+(-4.6)^2)((-4.4)^2+(3.6)^2+(-1.4)^2+(0.6)^2+(1.6)^2))#

#r_(xy)=((-28.16)+(-20.16)+(-4.76)+0.24+(-7.36))/sqrt((40.96+31.36+11.56+0.16+21.16)(19.36+12.96+1.96+0.36+2.56)#

#r_(xy)=-60.2/sqrt((105.2)*(37.2)#

#r_(xy)=-0.9623#
High negative correlation with #r_(xy)=-0.9623#