A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the model is:    ˆy=4−2x    where x is the number of years of schooling completed and y is the number of pregnancies.  The slope of this line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies tends to increase by 2.   When amount of schooling increases by one year, the number of pregnancies tends to increase by 4.   When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4.   When amount of schooling increases by one year, the number of pregnancies tends to decrease by 2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the model is:    ˆy=4−2x

   where x is the number of years of schooling completed and y is the number of pregnancies.  The slope of this line can be interpreted in the following way:

  • When amount of schooling increases by one year, the number of pregnancies tends to increase by 2.

     

  • When amount of schooling increases by one year, the number of pregnancies tends to increase by 4.

     

  • When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4.

     

  • When amount of schooling increases by one year, the number of pregnancies tends to decrease by 2.
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