It is thought that basketball teams that make too many fouls in a game tendto lose the game even if they otherwise play well. Let x be the number offouls more than (i.e., over and above) the opposing team. Let y be thepercentage of times the team with the larger number of fouls wins thegame.4y48423326A USE SALTComplete parts (a) through (e), given Ex = 15, Ey = 149, Ex² = 77, Ey² =5833, Exy = 489, and r= -0.9106.(a) Draw a scatter diagram displaying the data.55Graph LayersAfter you add an object to the graph you50can use Graph Layers to view and edit itsproperties.Fill454035NoSolution302520O HelpWebAssign. Graphing Tool( b) Verify the given sums Σχ, Σγ, Σχ, Σy, Σχy, and the value of thesample correlation coefficient r. (Round your value forr to four decimalplaces.)ΣχEy =Ex? =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 =ŷ =(d) Graph the least-squares line. Be sure to plot the point (x, y) as apoint on the line.y555550504545404035353030252546.2.46.y55555050454540403535303025258.26.(e) Find the value of the coefficient of determination r². Whatpercentage of the variation in y can be explained by the correspondingvariation in x and the least-squares line? What percentage isunexplained? (Round your answer for r2four decimal places. Roundyour answers for the percentages to two decimal place.)explainedunexplained(f) If a team had x = 3 fouls over and above the opposing team, whatdoes the least-squares equation forecast for y? (Round your answer totwo decimal places.)%Need Help?Read It

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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.
4
y
48
42
33
26
A USE SALT
Complete parts (a) through (e), given Ex = 15, Ey = 149, Ex² = 77, Ey² =
5833, Exy = 489, and r= -0.9106.
(a) Draw a scatter diagram displaying the data.
55
Graph Layers
After you add an object to the graph you
50
can use Graph Layers to view and edit its
properties.
Fill
45
40
35
No
Solution
30
25
20
O Help
WebAssign. Graphing Tool
( b) Verify the given sums Σχ, Σγ, Σχ, Σy, Σχy, and the value of the
sample correlation coefficient r. (Round your value forr to four decimal
places.)
Σχ
Ey =
Ex? =
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 =
ŷ =
(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
4
6.
2.
4
6.
y
55
55
50
50
45
45
40
40
35
35
30
30
25
25
8.
2
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
four decimal places. Round
your answers for the percentages to two decimal place.)
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.)
%
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x	y	(x-xbar)	(x-xbar)^2	(y-ybar)	(y-ybar)^2	(x-xbar)*(y-ybar)
0	48	-3.75	14.0625	10.75	115.5625	-40.3125
4	42	0.25	0.0625	4.75	22.5625	1.1875
5	33	1.25	1.5625	-4.25	18.0625	-5.3125
6	26	2.25	5.0625	-11.25	126.5625	-25.3125

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