Question

Which of the following data sets or plots could have a regression line with a negative slope? Select all that apply.

Select all that apply:

The number of tons of trash in a landfill as a function of the number of years since the landfill was built.

The number of loads of trash a dump truck hauls per month as a function of the number of years since the dump truck was built.

The number of tons of trash produced in a city as a function of population growth.

The number of minutes you will wait to drop off your trash at a landfill as a function of the number of dump trucks at the landfill.

Answer 1

The number of tons of trash in a landfill will increase with increase in number of years since the landfill was built. So, the regression line will have a positive slope

The number of loads of trash a dump truck hauls per month would remain the same with increase of the number of years since the dump truck was built.

The number of tons of trash produced will increase with increase in population growth. So, the regression line will have a positive slope

The number of minutes you will wait to drop off your trash at a landfill will decrease with increase in the number of dump trucks at the landfill.

Som only option with negative slope is,

The number of minutes you will wait to drop off your trash at a landfill as a function of the number of dump trucks at the landfill.