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O * * Y 30 30 25 25 x (fouls) x (fouls) 30 35 40 45 30 35 40 45 x (fouls) x (fouls) (e) Find the value of the coefficient of determination . 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.) explained unexplained (f) If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) % y(percentage) (a8ejuapjad)

O * * Y 30 30 25 25 x (fouls) x (fouls) 30 35 40 45 30 35 40 45 x (fouls) x (fouls) (e) Find the value of the coefficient of determination . 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.) explained unexplained (f) If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) % y(percentage) (a8ejuapjad)

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.

x 1 2 5 6
y 49 45 33 26

Complete parts (a) through (e), given Σx = 14, Σy = 153, Σx2 = 66, Σy2 = 6191, Σxy = 460, and 

r ≈ −0.9949.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Σx =  
Σy =  
Σx2 =  
Σy2 =  
Σxy =  
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.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 50 45 45 40 40 35 35 30 30 25 4 1 4 x (fouls) x (fouls) 9. 5 2 1 40 45 30 35 30 35 40 45 x (fouls) x (fouls) in v and the least-sauares line? What percentage is unexplained? (Round your ans 2] 25 y (percentage) y (percentage) 2. 1. 3. 21 II || || y (percentage) y (percentage)
Transcribed Image Text:(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 50 45 45 40 40 35 35 30 30 25 4 1 4 x (fouls) x (fouls) 9. 5 2 1 40 45 30 35 30 35 40 45 x (fouls) x (fouls) in v and the least-sauares line? What percentage is unexplained? (Round your ans 2] 25 y (percentage) y (percentage) 2. 1. 3. 21 II || || y (percentage) y (percentage)
山 ☆ 30 30 25 1 3 1 2 3 x (fouls) Xx (fouls) 6. 5 5 2 35 40 45 30 35 40 45 x (fouls) X (fouls) (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 % unexplained (f) If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) % ... 25 y (percentage) 2. 30 4. 3. 2) y (percentage)
Transcribed Image Text:山 ☆ 30 30 25 1 3 1 2 3 x (fouls) Xx (fouls) 6. 5 5 2 35 40 45 30 35 40 45 x (fouls) X (fouls) (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 % unexplained (f) If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) % ... 25 y (percentage) 2. 30 4. 3. 2) y (percentage)
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