AnswersHigh School Math 2 ARegression Models

Regression Models Answers

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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?

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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.
2
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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
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 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.
5

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
6

Jessica plots the data points relating the amount of money she needs to repay a loan and the number of months she has been making payments. She calculates two regression models. Which is true?

Question illustration
A
The linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.
B
The linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.
C
The exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.
D
The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.
7

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
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.

Question illustration
A
15
B
17
C
19
D
21
9

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
10

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
11

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

Question illustration
e
exponential, because there is a relatively consistent multiplicative rate of change
e
exponential, because there is a relatively consistent additive rate of change
l
linear, because there is a relatively consistent multiplicative rate of change
l
linear, because there is a relatively consistent additive rate of change
12

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

Question illustration
i
interpolation, because a key that is 12 keys from middle C is within the data set
i
interpolation, because a key that is 12 keys from middle C is outside the data set
e
extrapolation, because a key that is 12 keys from middle C is within the data set
e
extrapolation, because a key that is 12 keys from middle C is outside the data set
13

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

Question illustration
l
linear, because the r value for the linear model is closest to 1
e
exponential, because the r value for the exponential model is closest to 0
l
linear, because the rate of change between each pair of points is exactly 520
e
exponential, because the rate of change between each pair of points is 1.98
14

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

Question illustration
y
y = 9,958(0.972)x
y
y = 0.972(9,958)x
y
y = 9,219x– 150
y
y = –150x + 9,219
15

Question text not available

Question illustration
C
Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
C
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.
C
Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
16

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
4
45 minutes
7
72 minutes
8
83 minutes
1
118 minutes
17

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?

0
0.8 units
1
1.3 units
8
8.2 units
9
9.8 units
18

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.

Question illustration
1
15
1
17
1
19
2
21
19

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

Question illustration
$
$8,910
$
$8,980
$
$13,660
$
$16,040

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