Regression Models Answers

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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
2
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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
6

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.
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
10

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.

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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.

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