Regression Models

Question 1

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 2

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 3

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 4

The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the road.

Revolt · Accepted Answer

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

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

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.

Revolt · Accepted Answer

300

Question 7

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 8

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 9

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 10

The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The function y = 0.86x – 0.09 models the data in the table.

Revolt · Accepted Answer

21

Regression Models Answers

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