Interpret scatterplots

Front

What is a scatterplot?

Back

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

Front

What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend in the data, indicating the general direction of the relationship between the two variables.

Front

How can you interpret a positive correlation in a scatterplot?

Back

A positive correlation means that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation in a scatterplot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does it mean if there is no correlation in a scatterplot?

Back

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

Front

How do you predict values using a scatterplot?

Back

You can predict values by using the trend line or line of best fit to estimate the value of one variable based on the value of the other.

Front

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

Back

A trend line helps to summarize the data and make predictions by showing the overall direction of the data points.

Front

What is the significance of outliers in a scatterplot?

Back

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

Front

How can you determine the strength of a correlation in a scatterplot?

Back

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

Front

What is the formula for calculating the slope of a line in a scatterplot?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).