6.2 - Scatter Plots and Trend Lines

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two 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 is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable.

Front

What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable.

Front

What does no correlation mean?

Back

No correlation means there is no apparent relationship between the two variables; changes in one do not affect the other.

Front

How can you determine the strength of a correlation from a scatter plot?

Back

The strength of a correlation can be determined by how closely the data points cluster around the trend line; tighter clusters indicate a stronger correlation.

Front

What is the purpose of using a trend line in predictions?

Back

A trend line helps to make predictions about one variable based on the value of another variable by extrapolating the relationship shown in the scatter plot.

Front

How do you interpret a scatter plot with a negative correlation?

Back

In a scatter plot with a negative correlation, as one variable increases, the other variable decreases, indicating an inverse relationship.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that differ significantly from other observations; they can affect the trend line and the overall interpretation of the data.

Front

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

Back

A linear relationship means that the data points can be approximated by a straight line, indicating a consistent rate of change between the variables.