Basketball: Fouls Data for this problem are based on information from STATS Basketball Scoreboard. 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 that were more than (i.e., over and above) the number of fouls made the opposing team made. Let y be the percentage of times the team with the larger number of fouls won the game.x0256y50453326 Draw a scatter diagram displaying the data.Verify the given sums and the value of the sample correlation coefficient: Find , , a and b. Then find the equation of the least-squares line = a + bxGraph the least-squares line on your scatter diagram. Be sure to use the point ( , ) as one of the points on the line.Interpretation Find the value of the coefficient of determination r2. 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?If a team had x=4 fouls over and above the opposing team, what does the least-squares equation forecast for y?

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Description: Basketball: Fouls Data for this problem are based on information from STATS Basketball Scoreboard. 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 f

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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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Basketball: Fouls Data for this problem are based on information from STATS Basketball Scoreboard. 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 that were more than (i.e., over and above) the number of fouls made the opposing team made. Let y be the percentage of times the team with the larger number of fouls won the game.

x	0	2	5	6
y	50	45	33	26

Draw a scatter diagram displaying the data.
Verify the given sums and the value of the sample correlation coefficient:
Find , , a and b. Then find the equation of the least-squares line = a + bx
Graph the least-squares line on your scatter diagram. Be sure to use the point ( , ) as one of the points on the line.
Interpretation Find the value of the coefficient of determination r². 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?
If a team had x=4 fouls over and above the opposing team, what does the least-squares equation forecast for y?

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