Answers CR27 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.

The height of the surface decreases from the center out to the sides of the road.

The height of the surface increases, then decreases, from the center out to the sides of the road.

The height of the surface increases from the center out to the sides of the road.

The height of the surface remains the same the entire distance across the road.

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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?

0.8 units

1.3 units

8.2 units

9.8 units

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?

The linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.

The linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.

The exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.

The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.

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.

Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.

Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

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

linear, because the r value for the linear model is closest to 1

exponential, because the r value for the exponential model is closest to 0

linear, because the rate of change between each pair of points is exactly 520

exponential, because the rate of change between each pair of points is 1.98

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

y = –1.026x2 + 1016.402x – 162075

y = –1.036x2 + 1024.771x – 163710

y = 298.214x – 66317.667

y = 196.2x – 18710

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.

45 minutes

72 minutes

83 minutes

118 minutes

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

$8,910

$8,980

$13,660

$16,040

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

y = 9,958(0.972)x

y = 0.972(9,958)x

y = 9,219x– 150

y = –150x + 9,219

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.

1950

2005

2025

2050

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Regression Models Answers

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