Regression Models Quiz
The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which is the best estimate of the value of the account 12 years after it was opened?
$8,980
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. For which year would this model most likely be sufficient to make a prediction of the population?
2005
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. For which temperature will the model most accurately predict the time spent cooling?
300
The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C. Using the exponential regression model, which is the best prediction of the wavelength of the key that is 8 above the A above middle C?
49.44 cm
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. About how many people had viewed the video once it had been online for 20 days?
6,271
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?
8.2 units
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. Which is the best prediction for the number of pages in a chapter that takes 18 minutes to read?
NOT 15
If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer.
NOT Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the road. What does the graph of the regression model show?
NOT The height of the surface increases, then decreases, from the center out to the sides of the road.
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?
NOT The number of weeds is decreasing by an additive rate.
The table shows the relationship between time spent running and distance traveled. Which type of model best describes the relationship?
NOT linear, because the rate of change between each pair of points is exactly 520
The table represents the temperature of a cup of coffee over time. Which model best represents the data set?
NOT linear, because there is a relatively consistent multiplicative rate of change most likely exponential, because there is a relatively consistent multiplicative rate of change
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.
Janna is making a prediction of the frequency of a key that is 12 keys from middle C. Which best describes her prediction?
extrapolation, because a key that is 12 keys from middle C is outside the data set
The data in the table represents a company's profit based on the number of items produced. Which equation best represents the data?
y = -1.026x2 + 1016.402x - 162075
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive. Which function best models the data?
y = 9,958(0.972)x