Outboard motors. The table gives performance data for a boat powered by an Evinrude outboard motor. Find a quadratic regression model y = a x 2 + b x + c for fuel consumption y (in miles per gallon) as a function of engine speed (in revolutions per minute). Estimate the fuel consumption at an engine speed of 2 , 300 revolutions per minute.
Outboard motors. The table gives performance data for a boat powered by an Evinrude outboard motor. Find a quadratic regression model y = a x 2 + b x + c for fuel consumption y (in miles per gallon) as a function of engine speed (in revolutions per minute). Estimate the fuel consumption at an engine speed of 2 , 300 revolutions per minute.
Solution Summary: The author explains the quadratic regression model, y=ax2+bx+c, for fuel consumption as a function of engine speed (in revolutions per minute).
Outboard motors. The table gives performance data for a boat powered by an Evinrude outboard motor. Find a quadratic regression model
y
=
a
x
2
+
b
x
+
c
for fuel consumption
y
(in miles per gallon) as a function of engine speed (in revolutions per minute). Estimate the fuel consumption at an engine speed of
2
,
300
revolutions per minute.
(x^2+y^2)dx+(x^2-xy)dy=0 , Determine if the equation is homogeneous.
42. Consider the following joint probability table.
B₁
B2
B3
B4
A
0.09
0.22
0.15
0.20
A
0.03
0.10
0.09
0.12
EXERCISES 4.3
Mechanics
41. Consider the following contingency table.
B
B
A
26
34
Ac
14
26
a. Convert the contingency table into a joint probability table.
b. What is the probability that A occurs?
ن فة
What is the probability that A and B occur?
d. Given that B has occurred, what is the probability that
A occurs?
e. Given that A has occurred, what is the probability that
B occurs?
f.
Are A and B mutually exclusive events? Explain.
g.
Are A and B independent events? Explain.
42. Consider the following joint probability table.
B₁
B2
B3
BA
A
0.09
0.22
0.15
0.20
Ac
0.03
0.10
0.09
0.12
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