Regression Models — Unit test Answers

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height in feet. What is the maximum height the rocket reaches?

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

The table shows the population of Center City in various years. Use the data from 1990 and 2005 to create a linear model that predicts the population of the city (y) in a given year (x). In which year was the actual population of Center City most different from the value predicted by this model?YearCity Population1985194,9571990197,8001992199,5322000203,7502005206,5612012210,600

Solve the system of equations below by graphing. What is the solution rounded to the nearest tenth?

Which scatterplot has a correlation coefficient closest to r = –1?

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Consider the solution to the system of inequalities below.Which of the following functions could be added to the system without changing the solution set?

Choose the function that represents the data in the table.

Solve the system of equations below by graphing. What is the solution rounded to the nearest hundredth?

Which characteristic of a data set makes a linear regression model unreasonable?

Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.

The table shows the circumference of a tree in centimeters, y, at x years.Choose the function that represents the data.

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

Which statement about the following system of inequalities is true?

The graph below represents c, the amount a phone company charges, based on m, the number of minutes the customer uses each month. If there are a maximum of 44,640 minutes in a month, which equation best represents the phone company’s monthly charges?

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1.15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

Solve the system of equations below by graphing. What is the solution rounded to the nearest tenth?