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 a linear relationship in a scatterplot indicate?

Back

A linear relationship indicates that as one variable increases or decreases, the other variable tends to do the same in a consistent manner, forming a straight line when graphed.

Front

How can you identify a linear relationship in a scatterplot?

Back

A linear relationship can be identified if the data points roughly form a straight line, either increasing or decreasing.

Front

What is the purpose of using a scatterplot?

Back

The purpose of using a scatterplot is to visually represent the relationship between two variables and to identify trends, patterns, or correlations.

Front

What does it mean if a scatterplot shows no correlation?

Back

No correlation means that there is no discernible relationship between the two variables; the data points are scattered randomly.

Front

How do you interpret the slope of a line in a scatterplot?

Back

The slope indicates the direction and steepness of the relationship between the two variables; a positive slope means both variables increase together, while a negative slope means one variable increases as the other decreases.

Front

What is the significance of outliers in a scatterplot?

Back

Outliers are data points that fall far away from the general trend of the data; they can indicate anomalies or errors in data collection.

Front

What is the best-fit line in a scatterplot?

Back

The best-fit line is a straight line that best represents the data points in a scatterplot, minimizing the distance between the line and all the points.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot to make predictions by finding the best-fit line and using it to estimate the value of one variable based on the value of the other.

Front

What does a scatterplot with a positive correlation look like?

Back

A scatterplot with a positive correlation shows data points that trend upwards from left to right, indicating that as one variable increases, the other also increases.