# A regression between foot length (Y variables in cm) and height (X variables in inches) for 33 students resulted in the following regression equation: y=10.9+0.23x One student in the sample was 73 inches wall with a foot length of 29cm. a) The predicted foor length for this student is __cm b) Residual for this student's __cm

A regression between foot length (Y variables in cm) and height (X variables in inches) for 33 students resulted in the following regression equation:
$y=10.9+0.23x$
One student in the sample was 73 inches wall with a foot length of 29cm.
a) The predicted foor length for this student is __cm
b) Residual for this student's __cm
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Abagail Stephenson
The regression equation is :
$\stackrel{^}{Y}=10.9+0.23X$
Where Y = foot length
X = Height
a) For $x=73,Y=29$
For $x=73,\stackrel{^}{Y}=10.9+0.23\left(73\right)=27.69$
b) Residual $=Y-\stackrel{^}{Y}=29-27.69=1.31$