AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PRegression Models

Regression Models Answers

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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.
2
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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
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
4

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
5

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
6

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
7

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
8

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
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 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

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