AnswersHigh School Math 2 ARegression Models

Regression Models Answers

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

Question illustration
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 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.

Question illustration
A
1950
B
2005
C
2025
D
2050
3

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
4

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

Question illustration
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.
5

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

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

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.
8

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.

Question illustration
A
0
B
100
C
300
D
400
9

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.

Question illustration
A
1950
B
2005
C
2025
D
2050
10

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

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

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828.

Question illustration
A
Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
B
Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
C
Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
D
Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
13

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

Question illustration
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.
14

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
15

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

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

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

Question illustration
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
17

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

Question illustration
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
18

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.

Question illustration
A
45 minutes
B
72 minutes
C
83 minutes
D
118 minutes
19

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
20

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

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