Angle between Regression Lines. Suppose one finds the linear regression of y on x and also the linear regression of x on y. Show that 6 the acute angle between the two lines of regression is given by 1-r2 tan = Interpret the case when r=0, r=+1
Angle between Regression Lines. Suppose one finds the linear regression of y on x and also the linear regression of x on y. Show that 6 the acute angle between the two lines of regression is given by 1-r2 tan = Interpret the case when r=0, r=+1
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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![Angle between Regression Lines. Suppose one finds the
linear regression of y on x and also the linear regression of x on y.
Show that 6 the acute angle between the two lines of regression is
given by
1-r2
tan e=
Interpret the case
when
r=0,
r=±1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0cfc506-88a6-4507-95d8-9be97601cf86%2Ffba84f06-bc83-4b2e-a80a-1e7fcf784a7b%2Fslbp3wk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Angle between Regression Lines. Suppose one finds the
linear regression of y on x and also the linear regression of x on y.
Show that 6 the acute angle between the two lines of regression is
given by
1-r2
tan e=
Interpret the case
when
r=0,
r=±1
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