scatter plots and trend lines

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does a trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the relationship between the variables.

Front

What does a positive slope in a trend line indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope in a trend line indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What does it mean if a scatter plot shows a nonlinear relationship?

Back

A nonlinear relationship means that the data points do not form a straight line, indicating a more complex relationship between the variables.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another variable by finding the corresponding point on the line.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between the two variables, providing insight into how one variable affects the other.

Front

What does it mean if a scatter plot is tightly clustered around a trend line?

Back

It means there is a strong correlation between the two variables, indicating that changes in one variable are closely related to changes in the other.

Front

What does it mean if a scatter plot is widely scattered?

Back

It indicates a weak correlation between the two variables, suggesting that changes in one variable do not consistently relate to changes in the other.

Front

How do you determine the best fit line for a scatter plot?

Back

The best fit line is determined by minimizing the distance between the line and all the data points, often using a method called least squares.