For the following exercises, use a graphing utility to graph the curve represented by the parametric equations and identify the curve from its equation. 54. An airplane traveling horizontally at 100 m/s over flat ground at an elevation of 4000 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by x = 100 t , y = − 4.9 t 2 + 4000 , t ≥ 0 where the origin is the point on the ground directly beneath the plane at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target?
For the following exercises, use a graphing utility to graph the curve represented by the parametric equations and identify the curve from its equation. 54. An airplane traveling horizontally at 100 m/s over flat ground at an elevation of 4000 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by x = 100 t , y = − 4.9 t 2 + 4000 , t ≥ 0 where the origin is the point on the ground directly beneath the plane at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target?
For the following exercises, use a graphing utility to graph the curve represented by the parametric equations and identify the curve from its equation.
54. An airplane traveling horizontally at
100
m/s
over flat ground at an elevation of 4000 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by
x
=
100
t
,
y
=
−
4.9
t
2
+
4000
,
t
≥
0
where the origin is the point on the ground directly beneath the plane at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target?
The table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month.
Years of Experience (x)
Number of Goods (y)
11
63
5
57
1
48
4
54
5
45
3
51
Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set.
Do NOT change the units for the variables.
X
y
X2
xy
Ex=
Ey=
EX2
EXY=
Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience.
Q.1.3 Using your calculator, determine the coefficient of correlation for the data set.
Interpret your answer.
Q.1.4 Compute the coefficient of determination for the data set.
Interpret your answer.
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