Regression Models

Question 1

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.

Revolt · Accepted Answer

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

Question 2

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

Revolt · Accepted Answer

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

Question 3

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?

Revolt · Accepted Answer

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

Question 4

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

Revolt · Accepted Answer

exponential, because there is a relatively consistent multiplicative rate of change

Question 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?

Revolt · Accepted Answer

8.2 units

Question 6

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.

Revolt · Accepted Answer

6,271

Question 7

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.

Revolt · Accepted Answer

72 minutes

Question 8

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

Revolt · Accepted Answer

extrapolation, because a key that is 12 keys from middle C is outside the data set

Question 9

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?

Revolt · Accepted Answer

The number of weeds is decreasing by a multiplicative rate.

Question 10

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.

Revolt · Accepted Answer

2005

Regression Models Answers

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