The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t
(in sec) is the time after the object has been released. Use technology to find the correct R2 value of the given data using a quadratic regression.
2 answers:
Answer:
The correct option is 4. The value of R² is 1.000.
Step-by-step explanation:
The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t (in sec) is the time after the object has been released.
The general form of quadratic regression is
Use technology, we get
The required quadratic regression is
The value of R² is 1.000. Therefore the correct option is 4.
You might be interested in
Answer:
y = cot(x - ⅓π) + 2
Step-by-step explanation:
The general equation for a cotangent function with the given properties is
y = Acot(Bx + C) + D, where
A = the stretching factor
π/|B| = the period
C = the phase shift (negative is to the right)
D = the vertical shift
A = 1
π/|B| = π, so1/|B| = 1 and B = 1
C = -⅓π
D = 2
The function is
y = cot(x - ⅓π) + 2
The figure below shows the graph of the function with the given parameters.
Note that the parent function y = cot(x) has the y-axis as an asymptote, so we can measure the phase shift by the movement of the asymptote π units to the right.
