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Going for it on fourth down in the NFL. Each week coaches in the National Football League (NFL) face a decision during the game. On fourth down, should the team punt the ball or go for a first down? To aid in the decision-making pro- cess, statisticians at California State University, Northridge, developed a regression model for predicting the number of

Going for it on fourth down in the NFL. Each week coaches in the National Football League (NFL) face a decision during the game. On fourth down, should the team punt the ball or go for a first down? To aid in the decision-making pro- cess, statisticians at California State University, Northridge, developed a regression model for predicting the number of

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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11.87 Going for it on fourth down in the NFL. Each week coaches in the National Football League (NFL) face a decision during the game. On fourth down, should the team punt the ball or go for a first down? To aid in the decision-making pro- cess, statisticians at California State University, Northridge, odlo developed a regression model for predicting the number of points scored (y) by a team that has a first down with a given number of yards (x) from the opposing goal line (Chance, Winter 2009). One of the models fit to data collected on five NFL teams from a recent season was the simple linear re- gression model, E(y) = Bo + Bjx. The regression yielded the following results: ŷ = 4.42 – 048 x, r² = .18. a. Give a practical interpretation of the coefficient of de- termination, r². b. Compute the value of the coefficient of correlation, r, from the value of r. Is the value of r positive or nega- tive? Why? 09 Ho %3D NW iganz ori ni 20ulevv bm
Transcribed Image Text:11.87 Going for it on fourth down in the NFL. Each week coaches in the National Football League (NFL) face a decision during the game. On fourth down, should the team punt the ball or go for a first down? To aid in the decision-making pro- cess, statisticians at California State University, Northridge, odlo developed a regression model for predicting the number of points scored (y) by a team that has a first down with a given number of yards (x) from the opposing goal line (Chance, Winter 2009). One of the models fit to data collected on five NFL teams from a recent season was the simple linear re- gression model, E(y) = Bo + Bjx. The regression yielded the following results: ŷ = 4.42 – 048 x, r² = .18. a. Give a practical interpretation of the coefficient of de- termination, r². b. Compute the value of the coefficient of correlation, r, from the value of r. Is the value of r positive or nega- tive? Why? 09 Ho %3D NW iganz ori ni 20ulevv bm
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