Regression Models Answers

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Use the drop-down menus to complete the statement about the volume of a water storage tank over time, as shown in the table.

Answers:
The data in the table can best be described as because there is a .:exponential
The data in the table can best be described as because there is a .:constant multiplicative rate of change
3

constant additive rate of change✔ constant multiplicative rate of changedistinct turning point

A
constant additive rate of change
B
✔ constant multiplicative rate of change
C
distinct turning point
6

Which quadratic model best represents the data?

A
f(x) = –16x2 + 99x + 6
B
f(x) = –36x2 + 37x + 5
C
f(x) = 36x2 + 37x + 5
D
f(x) = 16x2 + 99x + 6
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14

Which statements are true? Check all that apply.

A
The data is best represented by an exponential model.
B
The data is best represented by a quadratic model.
C
If the price is $5 per unit, the expected profit is approximately $4,686.
D
If the price is $80 per unit, the expected profit is negative.
E
As the price per unit increases, the profit increases indefinitely.
15

Which statements are true? Check all that apply.

A
The function that best represents the data is f(x) = 24,512(0.755)x.
B
The function that best represents the data is f(x) = 554x2 – 5,439x + 24,600.
C
The function decreases indefinitely.
D
It is reasonable to interpolate to the value of the car at 4.5 years.
E
It is reasonable to extrapolate to 40 years.
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40

Use the drop-down menus to complete the statement about the volume of a water storage tank over time, as shown in the table.

Answers:
The data in the table can best be described as because there is a .:exponential
The data in the table can best be described as because there is a .:constant multiplicative rate of change

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