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 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
3

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
7

The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

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A
y = 9,958(0.972)x
B
y = 0.972(9,958)x
C
y = 9,219x– 150
D
y = –150x + 9,219
8

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
9

The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven.

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A
0
B
100
C
300
D
400
10

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
11

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C.

Question illustration
A
49.31 cm
B
49.44 cm
C
49.73 cm
D
49.78 cm
12

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

Question illustration
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
13

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
14

The graph shows the data points in the table and the exponential regression model associated with the data. Based on the graph of the regression model, which is true?

Question illustration
A
The number of weeds is decreasing by a multiplicative rate.
B
The number of weeds is increasing by a multiplicative rate.
C
The number of weeds is decreasing by an additive rate.
D
The number of weeds is increasing by an additive rate.
15

The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = –0.78x + 95 models the data in the table.

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A
45 minutes
B
72 minutes
C
83 minutes
D
118 minutes

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