Regression Models — Quiz Answers

The data in the table represents a company's profit based on the number of items produced. Profit Based on Number of the Items Produced Items Produced x Dollars of profit y 100 negative 70 comma 500 200 50 300 50 comma 100 400 80 comma 300 500 90 comma 400 600 78 comma 000 Which equation best represents the data?

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f of x is equal to negative 0 point 3 x squared plus 2 x , where f of x is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?

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 of x is equal to 33 times 1 point 3 to the x th power 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?

Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f of x is equal to 10 times 0 point 9 8 to the x th power 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?

A new interesting facts podcast dropped on March 1 The crew tracked the number of listeners each week for 10 weeks. The function f⁡(x)=3.4⁢(1.21)^x approximates the number of thousands of listeners x weeks after the podcast first aired. About how many listeners were there after 6 weeks? Round your answer to the nearest whole number. Enter your answer in the box.

Which model best represents the data set?

Which type of model best describes the relationship?

Which function best models the data?

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f of x is equal to negative 0 point 3 x squared plus 2 x , where f of x is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?

Which type of model best describes the relationship?