Question
Which of the following descriptions of a dataset would lead you to choose a linear model to represent it?(1 point)
Responses
The dataset has a scatterplot depicting a curve.
The dataset has a scatterplot depicting a curve.
The dataset has a scatterplot depicting a U-shape.
The dataset has a scatterplot depicting a U-shape.
The dataset has an increasing rate of change.
The dataset has an increasing rate of change.
The dataset has a constant rate of change.
Responses
The dataset has a scatterplot depicting a curve.
The dataset has a scatterplot depicting a curve.
The dataset has a scatterplot depicting a U-shape.
The dataset has a scatterplot depicting a U-shape.
The dataset has an increasing rate of change.
The dataset has an increasing rate of change.
The dataset has a constant rate of change.
Answers
GPT-4o mini
The description that would lead you to choose a linear model to represent the dataset is:
**The dataset has a constant rate of change.**
Linear models are characterized by a constant rate of change, which means that for every unit increase in the independent variable, the dependent variable increases (or decreases) by a consistent amount.
**The dataset has a constant rate of change.**
Linear models are characterized by a constant rate of change, which means that for every unit increase in the independent variable, the dependent variable increases (or decreases) by a consistent amount.