Answer to Question #219076 in Statistics and Probability for Karabo

Question

Consider the following information Sx=500,Sy=750,Sxy=100 and n=6 the standard error of estimate is

Answer 1

Solution:

Given, $S_{xx}=500,S_{yy}=750,S_{xy}=100,n=6$

$r=\dfrac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=\dfrac{100}{\sqrt{500\times750}}=0.1633$

Then, $SS_{residual}=(1-r^2)S_{yy}=(1-0.1633^2)(750)=730$

Now, standard error of estimate$=\sqrt{\dfrac{SS_{residual}}{n-2}}=\sqrt{\dfrac{730}{4}}=13.51$