Consider the multiple regression for the following experiment: yi=b0+b1x1i+b2x2i+b3x3i+ei Where yi is the number of touchdowns, x1i is rushing yards, x2i is passing yards, and x3i is the “time of possession of the football” in minutes for that football team.  Which of the following statements is true when making an interpretation of the sample slope coefficient?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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 Consider the multiple regression for the following experiment:

yi=b0+b1x1i+b2x2i+b3x3i+ei

Where yis the number of touchdowns, x1i is rushing yards, x2i is passing yards, and x3i is the “time of possession of the football” in minutes for that football team. 

Which of the following statements is true when making an interpretation of the sample slope coefficient?

 

 

a) 

a.    b2 represents the marginal change in passing yards for every additional touchdown, holding the other variables constant

 

b) 

b.    b2 represents the marginal change in touchdowns for every additional passing yard, holding the other variables constant

 

c) 

c.    b1 represents the marginal change in touchdowns for every additional passing yard, holding the other variables constant

 

d) 

d.    b3 represents the marginal change in touchdowns for every additional minute of time of possession, holding touchdowns constant

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