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 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.
3

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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