Homework Help is Here – Start Your Trial Now!
Math
Statistics
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. х 6. |y 48 43 33 26 Complete parts (a) through (e), given Ex = 14, Ey = 150, Ex2 = 66, Ey2 = 5918, Exy = 455, and r= -0.992. (a) Draw a scatter diagram displaying the data. 55 Graph Layers Cleat All • Point 1 50 • Point 2 45 Fill • Point 3 40 • Point 4 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool O Submission Data (b) Verify the given sums Ex, Ey, Ex2, Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = 14 Ey = 150 Ex = 66 Ey2 = 5918 Σγ2 Exy = 455 r= -0.992 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) X= 3.5 y = 37.5 ý = 34 X* + -0.992 (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 20 2 4 8 4 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 8. 20 4 6. 6. (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 three decimal places. Round your answers for the percentages to one decimal place.) 2 - -0.9 x 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.)

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. х 6. |y 48 43 33 26 Complete parts (a) through (e), given Ex = 14, Ey = 150, Ex2 = 66, Ey2 = 5918, Exy = 455, and r= -0.992. (a) Draw a scatter diagram displaying the data. 55 Graph Layers Cleat All • Point 1 50 • Point 2 45 Fill • Point 3 40 • Point 4 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool O Submission Data (b) Verify the given sums Ex, Ey, Ex2, Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = 14 Ey = 150 Ex = 66 Ey2 = 5918 Σγ2 Exy = 455 r= -0.992 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) X= 3.5 y = 37.5 ý = 34 X* + -0.992 (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 20 2 4 8 4 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 8. 20 4 6. 6. (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 three decimal places. Round your answers for the percentages to one decimal place.) 2 - -0.9 x 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.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
See similar textbooks
icon
Related questions
Question
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. х 6. |y 48 43 33 26 Complete parts (a) through (e), given Ex = 14, Ey = 150, Ex2 = 66, Ey2 = 5918, Exy = 455, and r= -0.992. (a) Draw a scatter diagram displaying the data. 55 Graph Layers Cleat All • Point 1 50 • Point 2 45 Fill • Point 3 40 • Point 4 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool O Submission Data (b) Verify the given sums Ex, Ey, Ex2, Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = 14 Ey = 150 Ex = 66 Ey2 = 5918 Σγ2 Exy = 455 r= -0.992 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) X= 3.5 y = 37.5 ý = 34 X* + -0.992
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. х 6. |y 48 43 33 26 Complete parts (a) through (e), given Ex = 14, Ey = 150, Ex2 = 66, Ey2 = 5918, Exy = 455, and r= -0.992. (a) Draw a scatter diagram displaying the data. 55 Graph Layers Cleat All • Point 1 50 • Point 2 45 Fill • Point 3 40 • Point 4 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool O Submission Data (b) Verify the given sums Ex, Ey, Ex2, Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = 14 Ey = 150 Ex = 66 Ey2 = 5918 Σγ2 Exy = 455 r= -0.992 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) X= 3.5 y = 37.5 ý = 34 X* + -0.992
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 20 2 4 8 4 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 8. 20 4 6. 6. (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 three decimal places. Round your answers for the percentages to one decimal place.) 2 - -0.9 x 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.)
Transcribed Image Text:(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 20 2 4 8 4 55 55 50 50 45 45 40 40 35 35 30 30 25 25 20 х 8. 20 4 6. 6. (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 three decimal places. Round your answers for the percentages to one decimal place.) 2 - -0.9 x 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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS