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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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.
| 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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ed43a03-4680-410a-b9f6-bb0da0ec717f%2F7aa59f65-ebd3-4090-a005-0b8cf53f4fd0%2Fpfgw6lk_processed.jpeg&w=3840&q=75)
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)
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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