Analyzing Linear Relationships in 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 grid.

Front

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

Back

The line of best fit represents the trend of the data points in a scatterplot, indicating the general direction of the relationship between the two 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, resulting in an upward slope on the scatterplot.

Front

What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable, resulting in a downward slope on the scatterplot.

Front

What does no correlation mean in a scatterplot?

Back

No correlation means there is no discernible relationship between the two variables, and the data points do not show a clear pattern.

Front

How can you identify a linear relationship in a scatterplot?

Back

A linear relationship can be identified if the data points cluster around a straight line, either positively or negatively sloped.

Front

What is the purpose of using the line of best fit?

Back

The purpose of using the line of best fit is to make predictions about one variable based on the value of another variable.

Front

How do you interpret the slope of the line of best fit?

Back

The slope of the line of best fit indicates the rate of change between the two variables; a steeper slope means a stronger relationship.

Front

What is the y-intercept in the context of a scatterplot?

Back

The y-intercept is the point where the line of best fit crosses the y-axis, representing the predicted value of the dependent variable when the independent variable is zero.

Front

What is an outlier in a scatterplot?

Back

An outlier is a data point that lies far away from the other points in the scatterplot, which can affect the line of best fit.