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It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. X y 50 44 33 LAUSE SALT Complete parts (a) through (e), given Ex= 16, Iy - 153, Ex2-78, Iy26201, Exy-547, and r= -0.9302. (a) Draw a scatter diagram displaying the data. 35 50 xfouls) xdouls (b) Verify the given sums x, y, x2, xy2, xy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex= Ey= Ex² = zy²- Dry = r= (c) Find x, and y. Then find the equation of the least-squares line;= a + bx. (Round your answers to four decimal places.) x= y= xfouls

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. X y 50 44 33 LAUSE SALT Complete parts (a) through (e), given Ex= 16, Iy - 153, Ex2-78, Iy26201, Exy-547, and r= -0.9302. (a) Draw a scatter diagram displaying the data. 35 50 xfouls) xdouls (b) Verify the given sums x, y, x2, xy2, xy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex= Ey= Ex² = zy²- Dry = r= (c) Find x, and y. Then find the equation of the least-squares line;= a + bx. (Round your answers to four decimal places.) x= y= xfouls

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. y 50 44 LAUSE SALT Complete parts (a) through (e), given Ex= 16, y = 153, 278, xy26201, Exy=547, and r = -0.9302. (a) Draw a scatter diagram displaying the data. 40 45 50 2 35 x(foals) x (fouls) x(fouls) (b) Verify the given sums x, y, x2, xy2, xy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ey Ex² = Ey? ΣΧΥ Ξ r= (c) Find x, and y. Then find the equation of the least-squares line;= a + bx. (Round your answers to four decimal places.) y=
Transcribed Image Text:It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. y 50 44 LAUSE SALT Complete parts (a) through (e), given Ex= 16, y = 153, 278, xy26201, Exy=547, and r = -0.9302. (a) Draw a scatter diagram displaying the data. 40 45 50 2 35 x(foals) x (fouls) x(fouls) (b) Verify the given sums x, y, x2, xy2, xy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ey Ex² = Ey? ΣΧΥ Ξ r= (c) Find x, and y. Then find the equation of the least-squares line;= a + bx. (Round your answers to four decimal places.) y=
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. x(fouls) x (fouls) x(Souls) (e) Find the value of the coefficient of determination 2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for 2 to four decimal places. Round your answers for the percentages to two decimal place.) 2- explained % % unexplained (f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) % 2 2 2 2 2
Transcribed Image Text:(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. x(fouls) x (fouls) x(Souls) (e) Find the value of the coefficient of determination 2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for 2 to four decimal places. Round your answers for the percentages to two decimal place.) 2- explained % % unexplained (f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) % 2 2 2 2 2
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