The slope b can be written as b r times David Bourgeois Saylor Business

Question 143 / 187: The slope b can be written as $$ b = r \times \left ( \frac{s_y}{s_x} \right ) $$, where r is the correlation coefficient between x and y, and $$ s_y $$ and $$ s_x $$ are the standard deviations of y and x, respectively. Which of the following statements best describes the slope of a linear regression line?

A The slope reveals how a change in x affects a change in y, given the variation of sample data
on x and y.

B The slope reveals how a change in y affects a change in x, given the variation of sample data
on x and y.

C The slope reveals the strength of association between x and y.

D The slope reveals the strength of association between a change in x and a change in y.

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Business Statistics

Author:

David BourgeoisLecturer

The Saylor Academy

USA

Access: Public Instant Grading

Attribution: David T. Bourgeois, PhD; Bharatendra K. Rai, PhD. Business Statistics. The Saylor Academy 2014, http://www.saylor.org/courses/bus204/

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