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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
Transcribed Image Text:(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
y
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8
4
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(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.)
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