Scatter plots and LOBF

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 LOBF stand for?

Back

LOBF stands for Line of Best Fit, which is a straight line that best represents the data on a scatter plot.

Front

How do you determine the Line of Best Fit on a scatter plot?

Back

The Line of Best Fit is determined by drawing a line that minimizes the distance between the line and all the data points.

Front

What does a linear relationship in a scatter plot indicate?

Back

A linear relationship indicates that as one variable increases, the other variable also increases or decreases in a consistent manner.

Front

What does a nonlinear relationship in a scatter plot indicate?

Back

A nonlinear relationship indicates that the relationship between the variables does not follow a straight line, meaning the rate of change varies.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by extending the Line of Best Fit to estimate values for one variable based on the other.

Front

What is the purpose of using a trend line in a scatter plot?

Back

The purpose of a trend line is to summarize the overall direction of the data and to help make predictions.

Front

What does it mean if the points on a scatter plot are widely scattered?

Back

If the points are widely scattered, it indicates a weak or no correlation between the two variables.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that differ significantly from other observations and can affect the accuracy of the Line of Best Fit.

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 positive slope means both variables increase together.