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. 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 thelarger number of fouls wins the game.х456y50413326(b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Ex =Ey =Ex2 =Ey? =Exy =r =(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)x =y =ŷ =(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.yy5555b5050a45454040353530302525XX24682468y5555505045454040d353530302525X28248(e) 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? (Round your answer for r2 to four decimal places.Round your answers for the percentages to two decimal place.)12 =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.)%

Name: It is thought that basketball teams that make too many fouls in a game
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Description: 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

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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 0 4 S 6 33 26 v so 41 50 (b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex = Ey? Exy =L (c) Find x, and y. Then find the equation of the least-squares line ý = 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. y y 5 55 s0t 50 a a 45 45 40 40 35 35 30 30 25 25 4 6 2 4 6 8 y y 55 50 5 50 45 45 40 40 d 35 35 30 30 25 25 2. 4 (e) Find the value of the coefficient of determination r. 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 r to four decimal places. Round your answers for the percentages to two decimal place.) 2- explained

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 0 4 S 6 33 26 v so 41 50 (b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex = Ey? Exy =L (c) Find x, and y. Then find the equation of the least-squares line ý = 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. y y 5 55 s0t 50 a a 45 45 40 40 35 35 30 30 25 25 4 6 2 4 6 8 y y 55 50 5 50 45 45 40 40 d 35 35 30 30 25 25 2. 4 (e) Find the value of the coefficient of determination r. 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 r to four decimal places. Round your answers for the percentages to two decimal place.) 2- explained

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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