a. Givé a practical interpretation of the coefficient of determination, r. Choose the correct answer below. O A. There is little or no relationship bėtween numbers of yards to the opposing goal line and numbers of points scored because 0.26 is near to zero. O B. Šample variations in the numbers of yards to the opposing goal line explain 26% of the sample variation in the numbers of points scored using the least squares line. O C. There is a positive linear relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is positive. O D. Sample variations in the numbers of yards to the opposing goal line explain 74% of the sample variation in the numbers of points scored using the least squares line. b. Compute the value of the coefficient of correlation, r, from the value of . Is the value of r positive or negative? Why? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. The coefficient of correlation, r= is negative because the estimator of OB. The coefficient of correlation, r= is positive because the estimator of B, is positive. B, is negative. O C. The coefficient of correlation. r= is negative because the estimator of O D. The coefficient of correlation. r= is positive because the estimator of

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Please answer both parts 

Each week coaches in a certain football league 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 process, statisticians at a particular university 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. One of the models fit to data collected on five league teams from a recent season was the
simple linear regression model, E(y) = Bo + B, x. The regression yielded the following results: y = 4.74 - 0.54x, = 0.26. Complete parts a and b below.
%3D
a. Give a practical interpretation of the coefficient of determination, r. Choose the correct answer below.
A. There is little or no relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is near to zero.
B. Sample variations in the numbers of yards to the opposing goal line explain 26% of the sample variation in the numbers of points scored using the least
squares line.
C. There is a positive linear relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is positive.
D. Sample variations in the numbers of yards to the opposing goal line explain 74% of the sample variation in the numbers of points scored using the least
squares line.
b. Compute the value of the coefficient of correlation, r, from the value ofr. Is the value of r positive or negative? Why? Select the correct choice below and fill in
the answer box within your choice.
(Round to three decimal places as needed.)
O A. The coefficient of correlation, r=
is negative because the estimator of OB. The coefficient of correlation, r=
is positive because the estimator of
B, is positive.
B, is negative.
C. The coefficient of correlation, r=
is negative because the estimator of O D. The coefficient of correlation. r=
is positive because the estimator of
Transcribed Image Text:Each week coaches in a certain football league 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 process, statisticians at a particular university 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. One of the models fit to data collected on five league teams from a recent season was the simple linear regression model, E(y) = Bo + B, x. The regression yielded the following results: y = 4.74 - 0.54x, = 0.26. Complete parts a and b below. %3D a. Give a practical interpretation of the coefficient of determination, r. Choose the correct answer below. A. There is little or no relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is near to zero. B. Sample variations in the numbers of yards to the opposing goal line explain 26% of the sample variation in the numbers of points scored using the least squares line. C. There is a positive linear relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is positive. D. Sample variations in the numbers of yards to the opposing goal line explain 74% of the sample variation in the numbers of points scored using the least squares line. b. Compute the value of the coefficient of correlation, r, from the value ofr. Is the value of r positive or negative? Why? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. The coefficient of correlation, r= is negative because the estimator of OB. The coefficient of correlation, r= is positive because the estimator of B, is positive. B, is negative. C. The coefficient of correlation, r= is negative because the estimator of O D. The coefficient of correlation. r= is positive because the estimator of
Each week coaches in a certain football league face a decision during the game. On fourth-down, should the team punt the ball or go for a first-down? To aid in
decision-making process, statisticians at a particular university 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. One of the models fit to data collected on five league teams from a recent season was th
simple linear regression model, E(y) = Bo + B, x. The regression yielded the following results: y = 4.74-0.54x, r =0.26. Complete parts a and b below.
2
A. There is little or no relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is near to zero.
B. Sample variations in the numbers of yards to the opposing goal line explain 26% of the sample variation in the numbers of points scored using the least
squares line.
C. There is a positive linear relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is positive.
D. Sample variations in the numbers of yards to the opposing goal line explain 74% of the sample variation in the numbers of points scored using the least
squares line.
b. Compute the value of the coefficient of correlation, r, from the value of r. Is the value of r positive or negative? Why? Select the correct choice below and fill in
the answer box within your choice.
(Round to three decimal places as needed.)
O A. The coefficient of correlation, r=
is negative because the estimator of O B. The coefficient of correlation, r=
is positive because the estimator of
B, is positive.
B, is negative.
nte
O C. The coefficient of correlation, r=
is negative because the estimator of O D. The coefficient of correlation, r=
is positive because the estimator of
B, is negative.
B, is positive.
1 N
Cliels te
Transcribed Image Text:Each week coaches in a certain football league face a decision during the game. On fourth-down, should the team punt the ball or go for a first-down? To aid in decision-making process, statisticians at a particular university 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. One of the models fit to data collected on five league teams from a recent season was th simple linear regression model, E(y) = Bo + B, x. The regression yielded the following results: y = 4.74-0.54x, r =0.26. Complete parts a and b below. 2 A. There is little or no relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is near to zero. B. Sample variations in the numbers of yards to the opposing goal line explain 26% of the sample variation in the numbers of points scored using the least squares line. C. There is a positive linear relationship between numbers of yards to the opposing goal line and numbers of points scored because 0.26 is positive. D. Sample variations in the numbers of yards to the opposing goal line explain 74% of the sample variation in the numbers of points scored using the least squares line. b. Compute the value of the coefficient of correlation, r, from the value of r. Is the value of r positive or negative? Why? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. The coefficient of correlation, r= is negative because the estimator of O B. The coefficient of correlation, r= is positive because the estimator of B, is positive. B, is negative. nte O C. The coefficient of correlation, r= is negative because the estimator of O D. The coefficient of correlation, r= is positive because the estimator of B, is negative. B, is positive. 1 N Cliels te
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