Regression Models Answers

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The data in the table represents a company’s profit based on the number of items produced.

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A
y = –1.026x2 + 1016.402x – 162075
B
y = –1.036x2 + 1024.771x – 163710
C
y = 298.214x – 66317.667
D
y = 196.2x – 18710
2
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The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The function y = 0.86x – 0.09 models the data in the table.

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A
15
B
17
C
19
D
21
3

The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.

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A
1950
B
2005
C
2025
D
2050
4

The table shows the relationship between time spent running and distance traveled.

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A
linear, because the r value for the linear model is closest to 1
B
exponential, because the r value for the exponential model is closest to 0
C
linear, because the rate of change between each pair of points is exactly 520
D
exponential, because the rate of change between each pair of points is 1.98
5

The table shows the value of an account x years after the account was opened.

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A
$8,910
B
$8,980
C
$13,660
D
$16,040
6

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.

A
190
B
858
C
6,271
D
86,460
7

Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?

A
0.8 units
B
1.3 units
C
8.2 units
D
9.8 units
8

Janna is making a prediction of the frequency of a key that is 12 keys from middle C.

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A
interpolation, because a key that is 12 keys from middle C is within the data set
B
interpolation, because a key that is 12 keys from middle C is outside the data set
C
extrapolation, because a key that is 12 keys from middle C is within the data set
D
extrapolation, because a key that is 12 keys from middle C is outside the data set
9

The table represents the temperature of a cup of coffee over time.

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A
exponential, because there is a relatively consistent multiplicative rate of change
B
exponential, because there is a relatively consistent additive rate of change
C
linear, because there is a relatively consistent multiplicative rate of change
D
linear, because there is a relatively consistent additive rate of change
10

The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the road.

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A
The height of the surface decreases from the center out to the sides of the road.
B
The height of the surface increases, then decreases, from the center out to the sides of the road.
C
The height of the surface increases from the center out to the sides of the road.
D
The height of the surface remains the same the entire distance across the road.

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